Identifier
Mp00066:
Permutations
—inverse⟶
Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[1,2]=>[.,[.,.]]
[2,1]=>[2,1]=>[2,1]=>[[.,.],.]
[1,2,3]=>[1,2,3]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,2]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,3]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,3,1]=>[3,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[3,1,2]=>[2,3,1]=>[2,3,1]=>[[.,[.,.]],.]
[3,2,1]=>[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,2,3,4]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,3]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,4]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,4,2]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,3]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,3,4]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,4]=>[3,1,2,4]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,3,4,1]=>[4,1,2,3]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,4,1,3]=>[3,1,4,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,4,3,1]=>[4,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[3,1,2,4]=>[2,3,1,4]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,4,1]=>[4,2,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[3,4,1,2]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,4,2,1]=>[4,3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[4,1,2,3]=>[2,3,4,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,1,3,2]=>[2,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,2,1,3]=>[3,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,2,3,1]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,3,1,2]=>[3,4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,5,3]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,4]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,4,3]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,2,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,5,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,2,4]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,4,2]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,5,3]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,2,5]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,5,2]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,3,2]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,3,4]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,4,3]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,2,4]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,4,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,2,3]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,5,3]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,4]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,4,5]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,3,1,5,4]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,3,4,1,5]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,5,1,4]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,5,4,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,4,1,3,5]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,4,1,5,3]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,4,3,1,5]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,4,3,5,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,4,5,1,3]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,4,5,3,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,5,1,3,4]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,5,1,4,3]=>[3,1,5,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,5,3,4,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,5,4,1,3]=>[4,1,5,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,5,4,3,1]=>[5,1,4,3,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[3,1,2,4,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,2,5,4]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,2,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,5,2]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,2,4]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,1,5]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,2,4,5,1]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,2,5,1,4]=>[4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,2,5,4,1]=>[5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,4,1,2,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,5,2]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,5]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[3,4,2,5,1]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[3,4,5,1,2]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,5,2,1]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[3,5,1,2,4]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,2]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,4]=>[4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[3,5,2,4,1]=>[5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[3,5,4,1,2]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,4,2,1]=>[5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[4,1,2,3,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[4,1,2,5,3]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,2,5]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,3]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,3,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[4,2,1,3,5]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,2,1,5,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,1,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,5,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,1,3]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,3,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,3,1,2,5]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,3,1,5,2]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,5,1]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,3,5,1,2]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[4,3,5,2,1]=>[5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[4,5,1,2,3]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,1,3,2]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,2,1,3]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,3,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,5,3,1,2]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,2,1]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,1,2,3,4]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,1,2,4,3]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,1,3,2,4]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,1,3,4,2]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,1,4,2,3]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,1,4,3,2]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,2,1,3,4]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,2,1,4,3]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,2,3,1,4]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,3,4,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,4,1,3]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,1,2,4]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[5,3,1,4,2]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[5,3,2,1,4]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[5,3,2,4,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,4,1,2]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[5,3,4,2,1]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[5,4,1,2,3]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[5,4,1,3,2]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[5,4,2,1,3]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[5,4,2,3,1]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[5,4,3,1,2]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,5,3]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,4,5]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,1,5]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,5,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,4,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,6,4]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,1,4]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,4,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,4,5]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,5,4]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,1,5]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,5,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,1,4]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,4,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,5,6]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,6,5]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,6,3]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,3,5]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,5,3]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,5,6]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,6,5]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,1,6]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,6,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,1,5]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,5,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,3,6]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,1,3]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,3,5]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,5,3]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,1,5]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,5,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,1,3]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,3,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,4,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,6,4]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,6,3]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,3,4]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,4,3]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,4,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,6,4]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,1,4]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,4,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,3,6]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,6,3]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,1,6]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,6,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,1,3]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,3,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,3,4]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,4,3]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,1,4]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,4,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,1,3]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,3,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,4,5]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,5,4]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,3,5]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,5,3]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,3,4]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,4,5]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,5,4]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,1,5]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,5,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,1,4]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,4,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,3,5]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,5,3]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,1,5]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,5,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,1,3]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,3,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,3,4]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,1,4]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,4,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,3,1]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,4,6,5]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,4,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,6,4]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,4,5]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,5,4]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,6,5]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,2,5]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,5,2]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,4,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,6,4]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,2,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,6,2]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,2,4]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,4,2]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,4,5]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,5,4]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,2,5]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,5,2]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,2,4]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,4,2]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,4,5]=>[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,6,5]=>[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,1,5]=>[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,5,1]=>[6,2,1,3,5,4]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,4,6]=>[4,2,1,5,3,6]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,6,4]=>[4,2,1,6,3,5]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,1,6]=>[5,2,1,4,3,6]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,6,1]=>[6,2,1,4,3,5]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,1,4]=>[5,2,1,6,3,4]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,4,1]=>[6,2,1,5,3,4]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,4,5]=>[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,1,5]=>[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,5,1]=>[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,4,1]=>[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,2,5]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,5,2]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,1,6,5]=>[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,1,5]=>[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,5,1]=>[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,1,2,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,1,2,5]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,5,2]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,2,1,5]=>[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,2,5,1]=>[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,5,1,2]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,5,2,1]=>[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,1,2,4,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,6,4]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,6,2]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,4,2]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,4,6]=>[4,3,1,5,2,6]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,1,6,4]=>[4,3,1,6,2,5]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,1,6]=>[5,3,1,4,2,6]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,6,1]=>[6,3,1,4,2,5]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,1,4]=>[5,3,1,6,2,4]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,4,1]=>[6,3,1,5,2,4]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,1,2,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,6,2]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,2,1,6]=>[5,4,1,3,2,6]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,2,6,1]=>[6,4,1,3,2,5]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,6,1,2]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,6,2,1]=>[6,5,1,3,2,4]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,1,2,4]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,4,2]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,2,1,4]=>[5,4,1,6,2,3]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,2,4,1]=>[6,4,1,5,2,3]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,4,1,2]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,1,2,4,5]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,5,4]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,2,5]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,5,2]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,2,4]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,4,5]=>[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,1,5]=>[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,5,1]=>[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,4,1]=>[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,1,2,5]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,5,2]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,2,1,5]=>[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,2,5,1]=>[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,5,1,2]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,5,2,1]=>[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,1,2,4]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,1,4,2]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,2,1,4]=>[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,2,4,1]=>[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,4,1,2]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,4,2,1]=>[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,3,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,3,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,3,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,5,3]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,5,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,2,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,6,2]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,5,2]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,3,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,2,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,6,2]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,2,3]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,3,2]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,3,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,5,3]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,5,2]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,2,3]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,3,2]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,3,6,5]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,6,3]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,3,5]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,5,3]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,1,6]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,6,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,1,5]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,5,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,3,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,1,3]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,3,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,3,5]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,1,5]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,5,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,1,3]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,3,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,2,6,5]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,2,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,6,2]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,2,5]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,5,2]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,5,1]=>[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,1,2,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,1,6,2]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,6,1,2]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,1,2,5]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,1,5,2]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,2,1,5]=>[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,2,5,1]=>[6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,5,1,2]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,2,3,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,2,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,6,2]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,2,3]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,3,2]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,2,1,3,6]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,1,6]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,6,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,1,3]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,6,2]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,6,1,2]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,3,2]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,2,1,3]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,2,3,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,3,1,2]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,3,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,2,5,3]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,2,5]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,5,2]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,2,3]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,3,2]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,2,1,3,5]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,1,5,3]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,1,5]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,5,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,1,3]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,3,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,3,1,2,5]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,2,1,5]=>[5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,2,5,1]=>[6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,5,1,2]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,5,2,1]=>[6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,5,1,2,3]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,2,1,3]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,2,3,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,3,1,2]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,5,3,2,1]=>[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,3,6,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,3,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,6,3]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,3,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,4,3]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,4,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,6,4]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,2,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,6,2]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,4]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,4,2]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,3,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,6,3]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,2,6]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,6,2]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,2,3]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,3,2]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,3,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,4,3]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,2,4]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,4,2]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,2,3]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,3,2]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,3,6,4]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,3,6]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,6,3]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,3,4]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,4,3]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,4,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,6,4]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,1,4]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,4,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,3,6]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,6,3]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,6,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,1,3]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,3,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,3,4]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,4,3]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,1,4]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,4,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,3,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,2,6,4]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,2,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,6,2]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,2,4]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,1,6,4]=>[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,6,1]=>[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,4,1]=>[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,1,2,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,1,6,2]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,2,1,6]=>[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,2,6,1]=>[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,6,1,2]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,6,2,1]=>[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,1,2,4]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,1,4,2]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,2,1,4]=>[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,2,4,1]=>[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,4,1,2]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,4,2,1]=>[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,2,6,3]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,2,6]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,6,2]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,2,3]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,3,2]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,1,6,3]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,1,6]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,6,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,1,3]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,3,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,1,6,2]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,6,1,2]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,6,1,2,3]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,1,3,2]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,3,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,3,1,2]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,2,4,3]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,2,4]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,4,2]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,2,3]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,3,2]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,2,1,3,4]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,1,4,3]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,1,4]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,4,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,1,3]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,3,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,3,1,2,4]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,1,4,2]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,2,1,4]=>[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,2,4,1]=>[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,4,2,1]=>[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,4,1,2,3]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,1,3,2]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,2,1,3]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,2,3,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,3,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,5,3]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,3,4]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,4,3]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,3,2,4,5]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,3,2,5,4]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,3,4,2,5]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,3,4,5,2]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,3,5,2,4]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,3,5,4,2]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,4,2,3,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,4,2,5,3]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,4,3,5,2]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,4,5,2,3]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,4,5,3,2]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,5,2,3,4]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,5,2,4,3]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,5,3,2,4]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,5,3,4,2]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,5,4,2,3]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,1,3,5,4]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,1,4,3,5]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,1,4,5,3]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,1,5,3,4]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,4,5]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,5,4]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,1,5]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,1,4]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,3,5]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,5,3]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,1,5]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,1,3]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,3,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,3,4]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,1,4]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,4,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,1,3]=>[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,2,5,4]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,2,5]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,5,2]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,2,4]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,4,2]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,1,5]=>[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,5,1,4]=>[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,4,1,2,5]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,4,1,5,2]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,4,2,1,5]=>[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,4,2,5,1]=>[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,4,5,1,2]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,4,5,2,1]=>[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,5,1,2,4]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,5,1,4,2]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,5,2,1,4]=>[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,5,2,4,1]=>[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,5,4,1,2]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,5,4,2,1]=>[6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,1,2,5,3]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,1,3,2,5]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,1,3,5,2]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,1,5,2,3]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,1,5,3,2]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,1,5,3]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,3,1,5]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,3,5,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,5,1,3]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,5,3,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,1,5,2]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,5,1,2]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,5,2,1]=>[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,5,1,2,3]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,1,3,2]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,2,1,3]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,3,1,2]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,5,3,2,1]=>[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
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[6,5,3,1,2,4]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
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[1,5,2,3,6,4,7]=>[1,3,4,6,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,3,7,4,6]=>[1,3,4,6,2,7,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,3,7,6]=>[1,3,5,4,2,7,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,6,3,7]=>[1,3,6,4,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,4,7,3,6]=>[1,3,6,4,2,7,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,7,6,3]=>[1,3,7,4,2,6,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,3,4,7]=>[1,3,5,6,2,4,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,3,7,4]=>[1,3,5,7,2,4,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,4,3,7]=>[1,3,6,5,2,4,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,4,7,3]=>[1,3,7,5,2,4,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,7,3,4,6]=>[1,3,5,6,2,7,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,2,7,4,3,6]=>[1,3,6,5,2,7,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,4,6,3]=>[1,3,7,5,2,6,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,4,7,6]=>[1,4,3,5,2,7,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,6,4,7]=>[1,4,3,6,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,2,7,4,6]=>[1,4,3,6,2,7,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,3,4,2,6,7]=>[1,5,3,4,2,6,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,4,2,7,6]=>[1,5,3,4,2,7,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,4,2,6,3,7]=>[1,4,6,3,2,5,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,5,7,6,2,4,3]=>[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,2,3,4,7,5]=>[1,3,4,5,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,5,4,7]=>[1,3,4,6,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,5,7,4]=>[1,3,4,7,5,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,7,4,5]=>[1,3,4,6,7,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,7,5,4]=>[1,3,4,7,6,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,3,7,5]=>[1,3,5,4,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,5,3,7]=>[1,3,6,4,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,5,7,3]=>[1,3,7,4,5,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,7,3,5]=>[1,3,6,4,7,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,7,5,3]=>[1,3,7,4,6,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,3,4,7]=>[1,3,5,6,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,3,7,4]=>[1,3,5,7,4,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,4,3,7]=>[1,3,6,5,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,4,7,3]=>[1,3,7,5,4,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,7,3,4]=>[1,3,6,7,4,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,7,4,3]=>[1,3,7,6,4,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,3,4,5]=>[1,3,5,6,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,3,5,4]=>[1,3,5,7,6,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,4,3,5]=>[1,3,6,5,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,4,5,3]=>[1,3,7,5,6,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,5,3,4]=>[1,3,6,7,5,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,5,4,3]=>[1,3,7,6,5,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,4,7,5]=>[1,4,3,5,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,5,7,4]=>[1,4,3,7,5,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,7,4,5]=>[1,4,3,6,7,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,7,5,4]=>[1,4,3,7,6,2,5]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,2,5,7]=>[1,5,3,4,6,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,2,7,5]=>[1,5,3,4,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,5,2,7]=>[1,6,3,4,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,3,5,2,7,4]=>[1,5,3,7,4,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,5,4,2,7]=>[1,6,3,5,4,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,3,7,2,4,5]=>[1,5,3,6,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,7,2,5,4]=>[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,7,4,2,5]=>[1,6,3,5,7,2,4]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,4,2,3,7,5]=>[1,4,5,3,7,2,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,5,3,7]=>[1,4,6,3,5,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,3,5,4,6]=>[1,3,4,6,5,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,4,5,3,6]=>[1,3,6,4,5,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,4,6,5,3]=>[1,3,7,4,6,5,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,5,3,4,6]=>[1,3,5,6,4,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,5,4,3,6]=>[1,3,6,5,4,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,2,6,4,3,5]=>[1,3,6,5,7,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,3,2,4,5,6]=>[1,4,3,5,6,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,3,2,5,4,6]=>[1,4,3,6,5,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,3,6,2]=>[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,6,2,3]=>[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,6,3,2]=>[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,2,3,4]=>[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,2,4,3]=>[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,3,2,4]=>[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,4,2,3]=>[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,4,3,2]=>[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,4,3,5]=>[1,4,6,5,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,4,5,3]=>[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,5,3,4]=>[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,5,4,3]=>[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,4,5]=>[1,5,4,6,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,2,5]=>[1,6,4,5,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,5,2]=>[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,5,4,2]=>[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,2,3,5]=>[1,5,6,4,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,2,5,3]=>[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,3,5,2]=>[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,2,3]=>[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,3,2]=>[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,2,4,3]=>[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,3,2,4]=>[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,3,4,2]=>[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,2,3]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,4,6]=>[2,1,3,6,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,6,4]=>[2,1,3,7,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,7,5]=>[2,1,3,5,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,5,7,4]=>[2,1,3,7,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,4,5]=>[2,1,3,6,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,5,4]=>[2,1,3,7,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,6,5]=>[2,1,3,5,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,4,6]=>[2,1,3,6,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,6,4]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,6,4,5]=>[2,1,3,6,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,3,6]=>[2,1,6,3,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,6,3]=>[2,1,7,3,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,5,7]=>[2,1,5,3,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,7,5]=>[2,1,5,3,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,3,7]=>[2,1,6,3,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,7,3]=>[2,1,7,3,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,3,5]=>[2,1,6,3,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,5,3]=>[2,1,7,3,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,5,6]=>[2,1,5,3,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,3,6]=>[2,1,6,3,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,6,3]=>[2,1,7,3,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,5,3]=>[2,1,7,3,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,4,7]=>[2,1,4,6,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,7,4]=>[2,1,4,7,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,4,6]=>[2,1,4,6,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,6,4]=>[2,1,4,7,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,3,7]=>[2,1,6,4,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,7,3]=>[2,1,7,4,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,6,3]=>[2,1,7,4,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,4,7]=>[2,1,5,6,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,7,4]=>[2,1,5,7,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,3,7]=>[2,1,6,5,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,7,3]=>[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,3,4]=>[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,4,3]=>[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,4,6]=>[2,1,5,6,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,6,4]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,6,3]=>[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,3,4]=>[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,4,3]=>[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,7,5]=>[2,1,4,5,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,4,7]=>[2,1,4,6,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,7,4]=>[2,1,4,7,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,4,5]=>[2,1,4,6,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,5,4]=>[2,1,4,7,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,5,7]=>[2,1,5,4,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,7,5]=>[2,1,5,4,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,3,7]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,7,3]=>[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,3,5]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,5,3]=>[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,7,4]=>[2,1,5,7,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,4,7,3]=>[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,3,4]=>[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,4,3]=>[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,4,5]=>[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,5,4]=>[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,3,5]=>[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,5,3]=>[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,3,4]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,4,3]=>[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,6,5]=>[2,1,4,5,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,4,6]=>[2,1,4,6,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,6,4]=>[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,4,5]=>[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,5,4]=>[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,5,6]=>[2,1,5,4,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,3,6]=>[2,1,6,4,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,6,3]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,5,3]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,4,6]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,6,4]=>[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,6,3]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,3,4]=>[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,4,3]=>[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,4,5]=>[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,5,4]=>[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,5,3]=>[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,5,3,4]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,7,5,6]=>[3,1,2,4,6,7,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,7,6,5]=>[3,1,2,4,7,6,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,7,4,6]=>[3,1,2,6,4,7,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,7,6,4]=>[3,1,2,7,4,6,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,4,5,7]=>[3,1,2,5,6,4,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,4,7,5]=>[3,1,2,5,7,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,5,4,7]=>[3,1,2,6,5,4,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,5,7,4]=>[3,1,2,7,5,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,7,4,5]=>[3,1,2,6,7,4,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,7,5,4]=>[3,1,2,7,6,4,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,4,5,6]=>[3,1,2,5,6,7,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,4,6,5]=>[3,1,2,5,7,6,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,5,4,6]=>[3,1,2,6,5,7,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,5,6,4]=>[3,1,2,7,5,6,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,6,4,5]=>[3,1,2,6,7,5,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,6,5,4]=>[3,1,2,7,6,5,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,7,5,6]=>[4,1,2,3,6,7,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,7,6,5]=>[4,1,2,3,7,6,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,7,1,6]=>[6,1,2,3,4,7,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,1,5,7]=>[5,1,2,3,6,4,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,1,7,5]=>[5,1,2,3,7,4,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,5,1,7]=>[6,1,2,3,5,4,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,5,7,1]=>[7,1,2,3,5,4,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,7,1,5]=>[6,1,2,3,7,4,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,1,5,6]=>[5,1,2,3,6,7,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,1,6,5]=>[5,1,2,3,7,6,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,5,1,6]=>[6,1,2,3,5,7,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,5,6,1]=>[7,1,2,3,5,6,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,6,1,5]=>[6,1,2,3,7,5,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,4,6,7]=>[4,1,2,5,3,6,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,4,7,6]=>[4,1,2,5,3,7,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,6,4,7]=>[4,1,2,6,3,5,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,6,7,4]=>[4,1,2,7,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,7,4,6]=>[4,1,2,6,3,7,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,7,6,4]=>[4,1,2,7,3,6,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,1,7,6]=>[5,1,2,4,3,7,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,6,1,7]=>[6,1,2,4,3,5,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,6,7,1]=>[7,1,2,4,3,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,7,1,6]=>[6,1,2,4,3,7,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,7,6,1]=>[7,1,2,4,3,6,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,1,4,7]=>[5,1,2,6,3,4,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,1,7,4]=>[5,1,2,7,3,4,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,4,1,7]=>[6,1,2,5,3,4,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,4,7,1]=>[7,1,2,5,3,4,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,7,1,4]=>[6,1,2,7,3,4,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,1,4,6]=>[5,1,2,6,3,7,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,1,6,4]=>[5,1,2,7,3,6,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,4,1,6]=>[6,1,2,5,3,7,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,4,6,1]=>[7,1,2,5,3,6,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,6,1,4]=>[6,1,2,7,3,5,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,4,5,7]=>[4,1,2,5,6,3,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,4,7,5]=>[4,1,2,5,7,3,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,5,4,7]=>[4,1,2,6,5,3,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,5,7,4]=>[4,1,2,7,5,3,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,7,4,5]=>[4,1,2,6,7,3,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,7,5,4]=>[4,1,2,7,6,3,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,1,5,7]=>[5,1,2,4,6,3,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,1,7,5]=>[5,1,2,4,7,3,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,5,1,7]=>[6,1,2,4,5,3,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,5,7,1]=>[7,1,2,4,5,3,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,7,1,5]=>[6,1,2,4,7,3,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,7,5,1]=>[7,1,2,4,6,3,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,1,4,7]=>[5,1,2,6,4,3,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,1,7,4]=>[5,1,2,7,4,3,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,4,1,7]=>[6,1,2,5,4,3,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,4,7,1]=>[7,1,2,5,4,3,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,7,1,4]=>[6,1,2,7,4,3,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,7,4,1]=>[7,1,2,6,4,3,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,1,4,5]=>[5,1,2,6,7,3,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,1,5,4]=>[5,1,2,7,6,3,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,4,1,5]=>[6,1,2,5,7,3,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,4,5,1]=>[7,1,2,5,6,3,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,5,1,4]=>[6,1,2,7,5,3,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,5,4,1]=>[7,1,2,6,5,3,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,4,5,6]=>[4,1,2,5,6,7,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,4,6,5]=>[4,1,2,5,7,6,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,5,4,6]=>[4,1,2,6,5,7,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,5,6,4]=>[4,1,2,7,5,6,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,6,4,5]=>[4,1,2,6,7,5,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,6,5,4]=>[4,1,2,7,6,5,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,1,5,6]=>[5,1,2,4,6,7,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,1,6,5]=>[5,1,2,4,7,6,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,5,1,6]=>[6,1,2,4,5,7,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,5,6,1]=>[7,1,2,4,5,6,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,6,1,5]=>[6,1,2,4,7,5,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,6,5,1]=>[7,1,2,4,6,5,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,1,4,6]=>[5,1,2,6,4,7,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,1,6,4]=>[5,1,2,7,4,6,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,4,1,6]=>[6,1,2,5,4,7,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,4,6,1]=>[7,1,2,5,4,6,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,6,1,4]=>[6,1,2,7,4,5,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,6,4,1]=>[7,1,2,6,4,5,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,1,4,5]=>[5,1,2,6,7,4,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,1,5,4]=>[5,1,2,7,6,4,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,4,1,5]=>[6,1,2,5,7,4,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,4,5,1]=>[7,1,2,5,6,4,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,5,1,4]=>[6,1,2,7,5,4,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,5,4,1]=>[7,1,2,6,5,4,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,5,7,6]=>[3,1,4,2,5,7,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,6,5,7]=>[3,1,4,2,6,5,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,6,7,5]=>[3,1,4,2,7,5,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,7,5,6]=>[3,1,4,2,6,7,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,7,6,5]=>[3,1,4,2,7,6,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,3,6,7]=>[3,1,5,2,4,6,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,3,7,6]=>[3,1,5,2,4,7,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,6,3,7]=>[3,1,6,2,4,5,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,6,7,3]=>[3,1,7,2,4,5,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,7,3,6]=>[3,1,6,2,4,7,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,7,6,3]=>[3,1,7,2,4,6,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,3,5,7]=>[3,1,5,2,6,4,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,3,7,5]=>[3,1,5,2,7,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,5,3,7]=>[3,1,6,2,5,4,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,5,7,3]=>[3,1,7,2,5,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,7,3,5]=>[3,1,6,2,7,4,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,7,5,3]=>[3,1,7,2,6,4,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,3,5,6]=>[3,1,5,2,6,7,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,3,6,5]=>[3,1,5,2,7,6,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,5,3,6]=>[3,1,6,2,5,7,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,5,6,3]=>[3,1,7,2,5,6,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,6,3,5]=>[3,1,6,2,7,5,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,6,5,3]=>[3,1,7,2,6,5,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,5,7,6]=>[4,1,3,2,5,7,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,6,7,5]=>[4,1,3,2,7,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,7,5,6]=>[4,1,3,2,6,7,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,7,6,5]=>[4,1,3,2,7,6,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,1,7,6]=>[5,1,3,2,4,7,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,7,1,6]=>[6,1,3,2,4,7,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,7,6,1]=>[7,1,3,2,4,6,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,1,5,7]=>[5,1,3,2,6,4,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,1,7,5]=>[5,1,3,2,7,4,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,5,7,1]=>[7,1,3,2,5,4,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,7,1,5]=>[6,1,3,2,7,4,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,7,5,1]=>[7,1,3,2,6,4,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,1,5,6]=>[5,1,3,2,6,7,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,1,6,5]=>[5,1,3,2,7,6,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,5,1,6]=>[6,1,3,2,5,7,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,5,6,1]=>[7,1,3,2,5,6,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,6,1,5]=>[6,1,3,2,7,5,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,6,5,1]=>[7,1,3,2,6,5,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,3,6,7]=>[4,1,5,2,3,6,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,3,7,6]=>[4,1,5,2,3,7,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,6,3,7]=>[4,1,6,2,3,5,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,6,7,3]=>[4,1,7,2,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,7,3,6]=>[4,1,6,2,3,7,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,7,6,3]=>[4,1,7,2,3,6,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,1,6,7]=>[5,1,4,2,3,6,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,1,7,6]=>[5,1,4,2,3,7,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,6,7,1]=>[7,1,4,2,3,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,7,1,6]=>[6,1,4,2,3,7,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,7,6,1]=>[7,1,4,2,3,6,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,1,3,7]=>[5,1,6,2,3,4,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,3,7,1]=>[7,1,5,2,3,4,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,7,1,3]=>[6,1,7,2,3,4,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,1,3,6]=>[5,1,6,2,3,7,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,1,6,3]=>[5,1,7,2,3,6,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,3,1,6]=>[6,1,5,2,3,7,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,3,6,1]=>[7,1,5,2,3,6,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,6,1,3]=>[6,1,7,2,3,5,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,6,3,1]=>[7,1,6,2,3,5,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,3,5,7]=>[4,1,5,2,6,3,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,3,7,5]=>[4,1,5,2,7,3,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,5,3,7]=>[4,1,6,2,5,3,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,5,7,3]=>[4,1,7,2,5,3,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,7,3,5]=>[4,1,6,2,7,3,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,7,5,3]=>[4,1,7,2,6,3,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,1,5,7]=>[5,1,4,2,6,3,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,1,7,5]=>[5,1,4,2,7,3,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,5,1,7]=>[6,1,4,2,5,3,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,5,7,1]=>[7,1,4,2,5,3,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,7,1,5]=>[6,1,4,2,7,3,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,7,5,1]=>[7,1,4,2,6,3,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,1,3,7]=>[5,1,6,2,4,3,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,1,7,3]=>[5,1,7,2,4,3,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,3,1,7]=>[6,1,5,2,4,3,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,3,7,1]=>[7,1,5,2,4,3,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,7,1,3]=>[6,1,7,2,4,3,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,7,3,1]=>[7,1,6,2,4,3,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,1,3,5]=>[5,1,6,2,7,3,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,1,5,3]=>[5,1,7,2,6,3,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,3,1,5]=>[6,1,5,2,7,3,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,3,5,1]=>[7,1,5,2,6,3,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,5,1,3]=>[6,1,7,2,5,3,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,5,3,1]=>[7,1,6,2,5,3,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,3,5,6]=>[4,1,5,2,6,7,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,3,6,5]=>[4,1,5,2,7,6,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,5,3,6]=>[4,1,6,2,5,7,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,5,6,3]=>[4,1,7,2,5,6,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,6,3,5]=>[4,1,6,2,7,5,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,6,5,3]=>[4,1,7,2,6,5,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,1,5,6]=>[5,1,4,2,6,7,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,1,6,5]=>[5,1,4,2,7,6,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,5,1,6]=>[6,1,4,2,5,7,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,5,6,1]=>[7,1,4,2,5,6,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,6,1,5]=>[6,1,4,2,7,5,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,6,5,1]=>[7,1,4,2,6,5,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,1,3,6]=>[5,1,6,2,4,7,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,1,6,3]=>[5,1,7,2,4,6,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,3,1,6]=>[6,1,5,2,4,7,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,3,6,1]=>[7,1,5,2,4,6,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,6,1,3]=>[6,1,7,2,4,5,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,6,3,1]=>[7,1,6,2,4,5,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,1,3,5]=>[5,1,6,2,7,4,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,1,5,3]=>[5,1,7,2,6,4,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,3,1,5]=>[6,1,5,2,7,4,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,3,5,1]=>[7,1,5,2,6,4,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,5,1,3]=>[6,1,7,2,5,4,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,5,3,1]=>[7,1,6,2,5,4,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,4,6,7]=>[3,1,4,5,2,6,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,4,7,6]=>[3,1,4,5,2,7,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,6,4,7]=>[3,1,4,6,2,5,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,6,7,4]=>[3,1,4,7,2,5,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,7,4,6]=>[3,1,4,6,2,7,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,7,6,4]=>[3,1,4,7,2,6,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,3,6,7]=>[3,1,5,4,2,6,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,6,3,7]=>[3,1,6,4,2,5,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,6,7,3]=>[3,1,7,4,2,5,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,7,6,3]=>[3,1,7,4,2,6,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,3,4,7]=>[3,1,5,6,2,4,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,3,7,4]=>[3,1,5,7,2,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,4,3,7]=>[3,1,6,5,2,4,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,4,7,3]=>[3,1,7,5,2,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,7,3,4]=>[3,1,6,7,2,4,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,7,4,3]=>[3,1,7,6,2,4,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,3,4,6]=>[3,1,5,6,2,7,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,3,6,4]=>[3,1,5,7,2,6,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,4,6,3]=>[3,1,7,5,2,6,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,6,3,4]=>[3,1,6,7,2,5,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,6,4,3]=>[3,1,7,6,2,5,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,4,6,7]=>[4,1,3,5,2,6,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,4,7,6]=>[4,1,3,5,2,7,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,6,4,7]=>[4,1,3,6,2,5,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,6,7,4]=>[4,1,3,7,2,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,7,4,6]=>[4,1,3,6,2,7,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,7,6,4]=>[4,1,3,7,2,6,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,1,6,7]=>[5,1,3,4,2,6,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,1,7,6]=>[5,1,3,4,2,7,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,6,1,7]=>[6,1,3,4,2,5,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,6,7,1]=>[7,1,3,4,2,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,7,1,6]=>[6,1,3,4,2,7,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,7,6,1]=>[7,1,3,4,2,6,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,1,4,7]=>[5,1,3,6,2,4,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,1,7,4]=>[5,1,3,7,2,4,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,4,1,7]=>[6,1,3,5,2,4,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,4,7,1]=>[7,1,3,5,2,4,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,7,1,4]=>[6,1,3,7,2,4,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,7,4,1]=>[7,1,3,6,2,4,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,1,4,6]=>[5,1,3,6,2,7,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,1,6,4]=>[5,1,3,7,2,6,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,4,1,6]=>[6,1,3,5,2,7,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,4,6,1]=>[7,1,3,5,2,6,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,6,1,4]=>[6,1,3,7,2,5,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,6,4,1]=>[7,1,3,6,2,5,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,3,6,7]=>[4,1,5,3,2,6,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,3,7,6]=>[4,1,5,3,2,7,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,6,3,7]=>[4,1,6,3,2,5,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,6,7,3]=>[4,1,7,3,2,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,7,3,6]=>[4,1,6,3,2,7,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,7,6,3]=>[4,1,7,3,2,6,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,1,6,7]=>[5,1,4,3,2,6,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,1,7,6]=>[5,1,4,3,2,7,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,6,1,7]=>[6,1,4,3,2,5,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,6,7,1]=>[7,1,4,3,2,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,7,1,6]=>[6,1,4,3,2,7,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,7,6,1]=>[7,1,4,3,2,6,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,1,3,7]=>[5,1,6,3,2,4,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,1,7,3]=>[5,1,7,3,2,4,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,3,7,1]=>[7,1,5,3,2,4,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,7,1,3]=>[6,1,7,3,2,4,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,7,3,1]=>[7,1,6,3,2,4,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,1,3,6]=>[5,1,6,3,2,7,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,1,6,3]=>[5,1,7,3,2,6,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,3,1,6]=>[6,1,5,3,2,7,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,3,6,1]=>[7,1,5,3,2,6,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,6,1,3]=>[6,1,7,3,2,5,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,6,3,1]=>[7,1,6,3,2,5,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,3,4,7]=>[4,1,5,6,2,3,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,3,7,4]=>[4,1,5,7,2,3,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,4,3,7]=>[4,1,6,5,2,3,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,4,7,3]=>[4,1,7,5,2,3,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,7,3,4]=>[4,1,6,7,2,3,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,7,4,3]=>[4,1,7,6,2,3,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,1,4,7]=>[5,1,4,6,2,3,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,1,7,4]=>[5,1,4,7,2,3,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,4,1,7]=>[6,1,4,5,2,3,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,4,7,1]=>[7,1,4,5,2,3,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,7,1,4]=>[6,1,4,7,2,3,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,7,4,1]=>[7,1,4,6,2,3,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,1,3,7]=>[5,1,6,4,2,3,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,1,7,3]=>[5,1,7,4,2,3,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,3,7,1]=>[7,1,5,4,2,3,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,7,1,3]=>[6,1,7,4,2,3,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,7,3,1]=>[7,1,6,4,2,3,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,1,3,4]=>[5,1,6,7,2,3,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,1,4,3]=>[5,1,7,6,2,3,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,3,1,4]=>[6,1,5,7,2,3,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,3,4,1]=>[7,1,5,6,2,3,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,4,1,3]=>[6,1,7,5,2,3,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,4,3,1]=>[7,1,6,5,2,3,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,3,4,6]=>[4,1,5,6,2,7,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,3,6,4]=>[4,1,5,7,2,6,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,4,3,6]=>[4,1,6,5,2,7,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,4,6,3]=>[4,1,7,5,2,6,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,6,3,4]=>[4,1,6,7,2,5,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,6,4,3]=>[4,1,7,6,2,5,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,1,4,6]=>[5,1,4,6,2,7,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,1,6,4]=>[5,1,4,7,2,6,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,4,1,6]=>[6,1,4,5,2,7,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,4,6,1]=>[7,1,4,5,2,6,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,6,1,4]=>[6,1,4,7,2,5,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,6,4,1]=>[7,1,4,6,2,5,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,1,3,6]=>[5,1,6,4,2,7,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,1,6,3]=>[5,1,7,4,2,6,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,3,1,6]=>[6,1,5,4,2,7,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,3,6,1]=>[7,1,5,4,2,6,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,6,1,3]=>[6,1,7,4,2,5,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,6,3,1]=>[7,1,6,4,2,5,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,1,3,4]=>[5,1,6,7,2,4,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,1,4,3]=>[5,1,7,6,2,4,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,3,1,4]=>[6,1,5,7,2,4,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,3,4,1]=>[7,1,5,6,2,4,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,4,1,3]=>[6,1,7,5,2,4,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,4,3,1]=>[7,1,6,5,2,4,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,4,5,7]=>[3,1,4,5,6,2,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,4,7,5]=>[3,1,4,5,7,2,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,5,4,7]=>[3,1,4,6,5,2,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,5,7,4]=>[3,1,4,7,5,2,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,7,4,5]=>[3,1,4,6,7,2,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,7,5,4]=>[3,1,4,7,6,2,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,3,5,7]=>[3,1,5,4,6,2,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,3,7,5]=>[3,1,5,4,7,2,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,5,3,7]=>[3,1,6,4,5,2,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,5,7,3]=>[3,1,7,4,5,2,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,7,3,5]=>[3,1,6,4,7,2,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,7,5,3]=>[3,1,7,4,6,2,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,3,4,7]=>[3,1,5,6,4,2,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,3,7,4]=>[3,1,5,7,4,2,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,4,7,3]=>[3,1,7,5,4,2,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,7,3,4]=>[3,1,6,7,4,2,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,7,4,3]=>[3,1,7,6,4,2,5]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,3,4,5]=>[3,1,5,6,7,2,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,3,5,4]=>[3,1,5,7,6,2,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,4,3,5]=>[3,1,6,5,7,2,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,4,5,3]=>[3,1,7,5,6,2,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,5,3,4]=>[3,1,6,7,5,2,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,5,4,3]=>[3,1,7,6,5,2,4]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,4,5,7]=>[4,1,3,5,6,2,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,4,7,5]=>[4,1,3,5,7,2,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,5,4,7]=>[4,1,3,6,5,2,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,5,7,4]=>[4,1,3,7,5,2,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,7,4,5]=>[4,1,3,6,7,2,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,7,5,4]=>[4,1,3,7,6,2,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,1,5,7]=>[5,1,3,4,6,2,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,1,7,5]=>[5,1,3,4,7,2,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,5,1,7]=>[6,1,3,4,5,2,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,5,7,1]=>[7,1,3,4,5,2,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,7,1,5]=>[6,1,3,4,7,2,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,7,5,1]=>[7,1,3,4,6,2,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,1,4,7]=>[5,1,3,6,4,2,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,1,7,4]=>[5,1,3,7,4,2,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,4,1,7]=>[6,1,3,5,4,2,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,4,7,1]=>[7,1,3,5,4,2,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,7,1,4]=>[6,1,3,7,4,2,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,7,4,1]=>[7,1,3,6,4,2,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,1,4,5]=>[5,1,3,6,7,2,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,1,5,4]=>[5,1,3,7,6,2,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,4,1,5]=>[6,1,3,5,7,2,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,4,5,1]=>[7,1,3,5,6,2,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,5,1,4]=>[6,1,3,7,5,2,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,5,4,1]=>[7,1,3,6,5,2,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,3,5,7]=>[4,1,5,3,6,2,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,3,7,5]=>[4,1,5,3,7,2,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,5,3,7]=>[4,1,6,3,5,2,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,5,7,3]=>[4,1,7,3,5,2,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,7,3,5]=>[4,1,6,3,7,2,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,7,5,3]=>[4,1,7,3,6,2,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,1,5,7]=>[5,1,4,3,6,2,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,1,7,5]=>[5,1,4,3,7,2,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,5,1,7]=>[6,1,4,3,5,2,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,5,7,1]=>[7,1,4,3,5,2,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,7,1,5]=>[6,1,4,3,7,2,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,7,5,1]=>[7,1,4,3,6,2,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,1,3,7]=>[5,1,6,3,4,2,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,1,7,3]=>[5,1,7,3,4,2,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,3,1,7]=>[6,1,5,3,4,2,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,3,7,1]=>[7,1,5,3,4,2,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,7,1,3]=>[6,1,7,3,4,2,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,7,3,1]=>[7,1,6,3,4,2,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,1,3,5]=>[5,1,6,3,7,2,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,1,5,3]=>[5,1,7,3,6,2,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,3,1,5]=>[6,1,5,3,7,2,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,3,5,1]=>[7,1,5,3,6,2,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,5,1,3]=>[6,1,7,3,5,2,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,5,3,1]=>[7,1,6,3,5,2,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,3,4,7]=>[4,1,5,6,3,2,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,3,7,4]=>[4,1,5,7,3,2,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,4,7,3]=>[4,1,7,5,3,2,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,7,3,4]=>[4,1,6,7,3,2,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,7,4,3]=>[4,1,7,6,3,2,5]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,1,4,7]=>[5,1,4,6,3,2,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,1,7,4]=>[5,1,4,7,3,2,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,4,1,7]=>[6,1,4,5,3,2,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,4,7,1]=>[7,1,4,5,3,2,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,7,1,4]=>[6,1,4,7,3,2,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,7,4,1]=>[7,1,4,6,3,2,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,1,3,7]=>[5,1,6,4,3,2,7]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,1,7,3]=>[5,1,7,4,3,2,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,3,7,1]=>[7,1,5,4,3,2,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,7,1,3]=>[6,1,7,4,3,2,5]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,7,3,1]=>[7,1,6,4,3,2,5]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,1,3,4]=>[5,1,6,7,3,2,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,1,4,3]=>[5,1,7,6,3,2,4]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,3,1,4]=>[6,1,5,7,3,2,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,3,4,1]=>[7,1,5,6,3,2,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,4,1,3]=>[6,1,7,5,3,2,4]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,4,3,1]=>[7,1,6,5,3,2,4]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,3,4,5]=>[4,1,5,6,7,2,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,3,5,4]=>[4,1,5,7,6,2,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,4,3,5]=>[4,1,6,5,7,2,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,4,5,3]=>[4,1,7,5,6,2,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,5,3,4]=>[4,1,6,7,5,2,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,5,4,3]=>[4,1,7,6,5,2,3]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,1,4,5]=>[5,1,4,6,7,2,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,1,5,4]=>[5,1,4,7,6,2,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,4,1,5]=>[6,1,4,5,7,2,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,4,5,1]=>[7,1,4,5,6,2,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,5,1,4]=>[6,1,4,7,5,2,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,5,4,1]=>[7,1,4,6,5,2,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,1,3,5]=>[5,1,6,4,7,2,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,1,5,3]=>[5,1,7,4,6,2,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,3,1,5]=>[6,1,5,4,7,2,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,3,5,1]=>[7,1,5,4,6,2,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,5,1,3]=>[6,1,7,4,5,2,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,5,3,1]=>[7,1,6,4,5,2,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,1,3,4]=>[5,1,6,7,4,2,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,1,4,3]=>[5,1,7,6,4,2,3]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,3,1,4]=>[6,1,5,7,4,2,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,3,4,1]=>[7,1,5,6,4,2,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,4,1,3]=>[6,1,7,5,4,2,3]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,4,3,1]=>[7,1,6,5,4,2,3]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,5,6]=>[3,1,4,5,6,7,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,6,5]=>[3,1,4,5,7,6,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,5,4,6]=>[3,1,4,6,5,7,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,5,6,4]=>[3,1,4,7,5,6,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,6,4,5]=>[3,1,4,6,7,5,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,6,5,4]=>[3,1,4,7,6,5,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,3,5,6]=>[3,1,5,4,6,7,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,3,6,5]=>[3,1,5,4,7,6,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,5,3,6]=>[3,1,6,4,5,7,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,5,6,3]=>[3,1,7,4,5,6,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,6,3,5]=>[3,1,6,4,7,5,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,6,5,3]=>[3,1,7,4,6,5,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,3,4,6]=>[3,1,5,6,4,7,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,3,6,4]=>[3,1,5,7,4,6,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,4,6,3]=>[3,1,7,5,4,6,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,6,3,4]=>[3,1,6,7,4,5,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,6,4,3]=>[3,1,7,6,4,5,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,3,4,5]=>[3,1,5,6,7,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,3,5,4]=>[3,1,5,7,6,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,4,3,5]=>[3,1,6,5,7,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,4,5,3]=>[3,1,7,5,6,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,5,3,4]=>[3,1,6,7,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,4,5,6]=>[4,1,3,5,6,7,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,4,6,5]=>[4,1,3,5,7,6,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,5,4,6]=>[4,1,3,6,5,7,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,5,6,4]=>[4,1,3,7,5,6,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,6,4,5]=>[4,1,3,6,7,5,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,6,5,4]=>[4,1,3,7,6,5,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,1,5,6]=>[5,1,3,4,6,7,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,1,6,5]=>[5,1,3,4,7,6,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,5,1,6]=>[6,1,3,4,5,7,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,5,6,1]=>[7,1,3,4,5,6,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,6,1,5]=>[6,1,3,4,7,5,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,6,5,1]=>[7,1,3,4,6,5,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,1,4,6]=>[5,1,3,6,4,7,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,1,6,4]=>[5,1,3,7,4,6,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,4,1,6]=>[6,1,3,5,4,7,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,4,6,1]=>[7,1,3,5,4,6,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,6,1,4]=>[6,1,3,7,4,5,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,6,4,1]=>[7,1,3,6,4,5,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,1,4,5]=>[5,1,3,6,7,4,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,1,5,4]=>[5,1,3,7,6,4,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,4,1,5]=>[6,1,3,5,7,4,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,4,5,1]=>[7,1,3,5,6,4,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,5,1,4]=>[6,1,3,7,5,4,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,5,4,1]=>[7,1,3,6,5,4,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,3,5,6]=>[4,1,5,3,6,7,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,3,6,5]=>[4,1,5,3,7,6,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,5,3,6]=>[4,1,6,3,5,7,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,5,6,3]=>[4,1,7,3,5,6,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,6,3,5]=>[4,1,6,3,7,5,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,6,5,3]=>[4,1,7,3,6,5,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,1,5,6]=>[5,1,4,3,6,7,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,1,6,5]=>[5,1,4,3,7,6,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,5,1,6]=>[6,1,4,3,5,7,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,5,6,1]=>[7,1,4,3,5,6,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,6,1,5]=>[6,1,4,3,7,5,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,6,5,1]=>[7,1,4,3,6,5,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,1,3,6]=>[5,1,6,3,4,7,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,1,6,3]=>[5,1,7,3,4,6,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,3,1,6]=>[6,1,5,3,4,7,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,3,6,1]=>[7,1,5,3,4,6,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,6,1,3]=>[6,1,7,3,4,5,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,6,3,1]=>[7,1,6,3,4,5,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,1,3,5]=>[5,1,6,3,7,4,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,1,5,3]=>[5,1,7,3,6,4,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,3,1,5]=>[6,1,5,3,7,4,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,3,5,1]=>[7,1,5,3,6,4,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,5,1,3]=>[6,1,7,3,5,4,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,5,3,1]=>[7,1,6,3,5,4,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,3,4,6]=>[4,1,5,6,3,7,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,3,6,4]=>[4,1,5,7,3,6,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,4,3,6]=>[4,1,6,5,3,7,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,4,6,3]=>[4,1,7,5,3,6,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,6,3,4]=>[4,1,6,7,3,5,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,6,4,3]=>[4,1,7,6,3,5,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,1,4,6]=>[5,1,4,6,3,7,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,1,6,4]=>[5,1,4,7,3,6,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,4,1,6]=>[6,1,4,5,3,7,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,4,6,1]=>[7,1,4,5,3,6,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,6,1,4]=>[6,1,4,7,3,5,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,6,4,1]=>[7,1,4,6,3,5,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,1,3,6]=>[5,1,6,4,3,7,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,1,6,3]=>[5,1,7,4,3,6,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,3,1,6]=>[6,1,5,4,3,7,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,3,6,1]=>[7,1,5,4,3,6,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,6,1,3]=>[6,1,7,4,3,5,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,6,3,1]=>[7,1,6,4,3,5,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,1,3,4]=>[5,1,6,7,3,4,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,1,4,3]=>[5,1,7,6,3,4,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,3,1,4]=>[6,1,5,7,3,4,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,3,4,1]=>[7,1,5,6,3,4,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,4,1,3]=>[6,1,7,5,3,4,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,4,3,1]=>[7,1,6,5,3,4,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,3,4,5]=>[4,1,5,6,7,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,3,5,4]=>[4,1,5,7,6,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,4,3,5]=>[4,1,6,5,7,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,4,5,3]=>[4,1,7,5,6,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,5,3,4]=>[4,1,6,7,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,1,4,5]=>[5,1,4,6,7,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,1,5,4]=>[5,1,4,7,6,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,4,1,5]=>[6,1,4,5,7,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,4,5,1]=>[7,1,4,5,6,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,5,1,4]=>[6,1,4,7,5,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,5,4,1]=>[7,1,4,6,5,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,1,3,5]=>[5,1,6,4,7,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,1,5,3]=>[5,1,7,4,6,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,3,1,5]=>[6,1,5,4,7,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,3,5,1]=>[7,1,5,4,6,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,5,1,3]=>[6,1,7,4,5,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,5,3,1]=>[7,1,6,4,5,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,1,3,4]=>[5,1,6,7,4,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,3,1,4]=>[6,1,5,7,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,3,4,1]=>[7,1,5,6,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,4,6,7,5]=>[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,4,7,6,5]=>[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,5,6,4,7]=>[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,5,6,7,4]=>[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,5,7,4,6]=>[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,5,7,6,4]=>[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,6,4,7,5]=>[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,6,5,4,7]=>[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,6,5,7,4]=>[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,6,7,4,5]=>[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,6,7,5,4]=>[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,7,4,6,5]=>[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,7,5,4,6]=>[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,7,5,6,4]=>[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,7,6,4,5]=>[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,2,7,6,5,4]=>[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,2,5,7,6]=>[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,2,6,5,7]=>[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,2,6,7,5]=>[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,2,7,5,6]=>[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,2,7,6,5]=>[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,5,2,6,7]=>[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,5,2,7,6]=>[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,5,6,2,7]=>[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,5,6,7,2]=>[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,5,7,2,6]=>[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,5,7,6,2]=>[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,6,2,5,7]=>[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,6,2,7,5]=>[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,6,5,2,7]=>[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,6,5,7,2]=>[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,6,7,2,5]=>[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,6,7,5,2]=>[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,7,2,5,6]=>[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,7,2,6,5]=>[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,7,5,2,6]=>[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,7,5,6,2]=>[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,7,6,2,5]=>[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,7,6,5,2]=>[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,2,4,6,7]=>[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,2,4,7,6]=>[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,2,6,4,7]=>[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,2,6,7,4]=>[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,2,7,4,6]=>[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,2,7,6,4]=>[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,4,2,6,7]=>[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,4,2,7,6]=>[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,4,6,2,7]=>[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,4,6,7,2]=>[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,4,7,2,6]=>[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,4,7,6,2]=>[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,6,2,4,7]=>[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,6,2,7,4]=>[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,6,4,2,7]=>[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,6,4,7,2]=>[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,6,7,2,4]=>[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,6,7,4,2]=>[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,7,2,4,6]=>[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,7,2,6,4]=>[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,7,4,2,6]=>[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,7,4,6,2]=>[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,7,6,2,4]=>[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,5,7,6,4,2]=>[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,2,4,5,7]=>[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,2,4,7,5]=>[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,2,5,4,7]=>[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,2,5,7,4]=>[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,2,7,4,5]=>[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,2,7,5,4]=>[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,4,2,5,7]=>[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,4,2,7,5]=>[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,4,5,2,7]=>[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,4,5,7,2]=>[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,4,7,2,5]=>[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,4,7,5,2]=>[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,5,2,4,7]=>[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,5,2,7,4]=>[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,5,4,2,7]=>[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,5,4,7,2]=>[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,5,7,2,4]=>[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,5,7,4,2]=>[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,7,2,4,5]=>[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,7,2,5,4]=>[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,7,4,2,5]=>[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,7,4,5,2]=>[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,7,5,2,4]=>[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,6,7,5,4,2]=>[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,2,4,5,6]=>[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,2,4,6,5]=>[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,2,5,4,6]=>[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,2,5,6,4]=>[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,2,6,4,5]=>[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,2,6,5,4]=>[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,4,2,5,6]=>[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,4,2,6,5]=>[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,4,5,2,6]=>[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,4,5,6,2]=>[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,4,6,2,5]=>[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,4,6,5,2]=>[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,5,2,4,6]=>[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,5,2,6,4]=>[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,5,4,2,6]=>[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,5,4,6,2]=>[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,5,6,2,4]=>[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,5,6,4,2]=>[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,6,2,4,5]=>[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,6,2,5,4]=>[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,6,4,2,5]=>[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,6,4,5,2]=>[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,6,5,2,4]=>[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,6,5,4,2]=>[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,6,4,7]=>[3,2,1,6,4,5,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,4,5,7]=>[3,2,1,5,6,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,4,7,5]=>[3,2,1,5,7,4,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,5,7,4]=>[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,7,4,5]=>[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,6,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,6,4,5]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,5,7,6]=>[4,2,1,3,5,7,6]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,6,5,7]=>[4,2,1,3,6,5,7]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,7,5,6]=>[4,2,1,3,6,7,5]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,1,7,6,5]=>[4,2,1,3,7,6,5]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,1,7,6]=>[5,2,1,3,4,7,6]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,7,1,6]=>[6,2,1,3,4,7,5]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,6,1,5,7]=>[5,2,1,3,6,4,7]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,6,1,7,5]=>[5,2,1,3,7,4,6]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,6,5,1,7]=>[6,2,1,3,5,4,7]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,6,7,1,5]=>[6,2,1,3,7,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,7,1,5,6]=>[5,2,1,3,6,7,4]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,7,1,6,5]=>[5,2,1,3,7,6,4]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,7,5,1,6]=>[6,2,1,3,5,7,4]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,7,5,6,1]=>[7,2,1,3,5,6,4]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,7,6,1,5]=>[6,2,1,3,7,5,4]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,7,6,5,1]=>[7,2,1,3,6,5,4]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,1,4,6,7]=>[4,2,1,5,3,6,7]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,1,4,7,6]=>[4,2,1,5,3,7,6]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,1,6,4,7]=>[4,2,1,6,3,5,7]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,1,6,7,4]=>[4,2,1,7,3,5,6]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,1,7,4,6]=>[4,2,1,6,3,7,5]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,1,7,6,4]=>[4,2,1,7,3,6,5]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,4,1,6,7]=>[5,2,1,4,3,6,7]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,4,6,1,7]=>[6,2,1,4,3,5,7]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,4,6,7,1]=>[7,2,1,4,3,5,6]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,4,7,1,6]=>[6,2,1,4,3,7,5]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,6,1,4,7]=>[5,2,1,6,3,4,7]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,6,1,7,4]=>[5,2,1,7,3,4,6]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,6,4,1,7]=>[6,2,1,5,3,4,7]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,6,4,7,1]=>[7,2,1,5,3,4,6]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,6,7,1,4]=>[6,2,1,7,3,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,1,4,6]=>[5,2,1,6,3,7,4]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,1,6,4]=>[5,2,1,7,3,6,4]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,4,1,6]=>[6,2,1,5,3,7,4]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,4,6,1]=>[7,2,1,5,3,6,4]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,6,1,4]=>[6,2,1,7,3,5,4]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,6,4,1]=>[7,2,1,6,3,5,4]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,1,4,5,7]=>[4,2,1,5,6,3,7]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,1,4,7,5]=>[4,2,1,5,7,3,6]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,1,5,7,4]=>[4,2,1,7,5,3,6]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,1,7,4,5]=>[4,2,1,6,7,3,5]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,1,7,5,4]=>[4,2,1,7,6,3,5]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,4,1,5,7]=>[5,2,1,4,6,3,7]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,4,1,7,5]=>[5,2,1,4,7,3,6]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,4,5,1,7]=>[6,2,1,4,5,3,7]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,4,5,7,1]=>[7,2,1,4,5,3,6]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,4,7,1,5]=>[6,2,1,4,7,3,5]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,4,7,5,1]=>[7,2,1,4,6,3,5]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,5,1,4,7]=>[5,2,1,6,4,3,7]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,5,1,7,4]=>[5,2,1,7,4,3,6]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,5,4,1,7]=>[6,2,1,5,4,3,7]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,5,4,7,1]=>[7,2,1,5,4,3,6]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,5,7,1,4]=>[6,2,1,7,4,3,5]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,5,7,4,1]=>[7,2,1,6,4,3,5]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,7,1,4,5]=>[5,2,1,6,7,3,4]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,7,1,5,4]=>[5,2,1,7,6,3,4]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,7,4,1,5]=>[6,2,1,5,7,3,4]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,7,4,5,1]=>[7,2,1,5,6,3,4]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,7,5,1,4]=>[6,2,1,7,5,3,4]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,6,7,5,4,1]=>[7,2,1,6,5,3,4]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,1,4,5,6]=>[4,2,1,5,6,7,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,1,4,6,5]=>[4,2,1,5,7,6,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,1,5,4,6]=>[4,2,1,6,5,7,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,1,5,6,4]=>[4,2,1,7,5,6,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,1,6,4,5]=>[4,2,1,6,7,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,4,1,5,6]=>[5,2,1,4,6,7,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,4,1,6,5]=>[5,2,1,4,7,6,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,4,5,1,6]=>[6,2,1,4,5,7,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,4,5,6,1]=>[7,2,1,4,5,6,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,4,6,1,5]=>[6,2,1,4,7,5,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,4,6,5,1]=>[7,2,1,4,6,5,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,5,1,4,6]=>[5,2,1,6,4,7,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,5,1,6,4]=>[5,2,1,7,4,6,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,5,4,1,6]=>[6,2,1,5,4,7,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,5,4,6,1]=>[7,2,1,5,4,6,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,5,6,1,4]=>[6,2,1,7,4,5,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,5,6,4,1]=>[7,2,1,6,4,5,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,6,1,4,5]=>[5,2,1,6,7,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,6,4,1,5]=>[6,2,1,5,7,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,6,4,5,1]=>[7,2,1,5,6,4,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,6,5,4,1]=>[7,2,1,6,5,4,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,1,2,5,6,7]=>[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,5,7,6]=>[3,4,1,2,5,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,5,7]=>[3,4,1,2,6,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,7,5]=>[3,4,1,2,7,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,5,6]=>[3,4,1,2,6,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,6,5]=>[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,7,6]=>[3,5,1,2,4,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,2,7]=>[3,6,1,2,4,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,7,2]=>[3,7,1,2,4,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,2,6]=>[3,6,1,2,4,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,6,2]=>[3,7,1,2,4,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,5,7]=>[3,5,1,2,6,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,7,5]=>[3,5,1,2,7,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,5,2,7]=>[3,6,1,2,5,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,5,7,2]=>[3,7,1,2,5,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,7,2,5]=>[3,6,1,2,7,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,7,5,2]=>[3,7,1,2,6,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,2,5,6]=>[3,5,1,2,6,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,2,6,5]=>[3,5,1,2,7,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,5,2,6]=>[3,6,1,2,5,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,5,6,2]=>[3,7,1,2,5,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,6,2,5]=>[3,6,1,2,7,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,6,5,2]=>[3,7,1,2,6,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,1,5,7,6]=>[4,3,1,2,5,7,6]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,1,7,5,6]=>[4,3,1,2,6,7,5]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,1,7,6,5]=>[4,3,1,2,7,6,5]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,1,7,6]=>[5,3,1,2,4,7,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,7,1,6]=>[6,3,1,2,4,7,5]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,7,6,1]=>[7,3,1,2,4,6,5]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,6,1,5,7]=>[5,3,1,2,6,4,7]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,6,1,7,5]=>[5,3,1,2,7,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,6,5,1,7]=>[6,3,1,2,5,4,7]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,6,7,1,5]=>[6,3,1,2,7,4,5]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,7,1,5,6]=>[5,3,1,2,6,7,4]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,7,1,6,5]=>[5,3,1,2,7,6,4]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,7,5,1,6]=>[6,3,1,2,5,7,4]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,7,5,6,1]=>[7,3,1,2,5,6,4]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,7,6,1,5]=>[6,3,1,2,7,5,4]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,7,6,5,1]=>[7,3,1,2,6,5,4]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,1,2,6,7]=>[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,1,2,7,6]=>[4,5,1,2,3,7,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,1,6,7,2]=>[4,7,1,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,1,7,2,6]=>[4,6,1,2,3,7,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,1,7,6,2]=>[4,7,1,2,3,6,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,2,1,7,6]=>[5,4,1,2,3,7,6]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,2,7,1,6]=>[6,4,1,2,3,7,5]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,2,7,6,1]=>[7,4,1,2,3,6,5]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,6,1,2,7]=>[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,7,1,2,6]=>[5,6,1,2,3,7,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,7,1,6,2]=>[5,7,1,2,3,6,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,7,2,1,6]=>[6,5,1,2,3,7,4]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,7,2,6,1]=>[7,5,1,2,3,6,4]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,7,6,1,2]=>[6,7,1,2,3,5,4]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,7,6,2,1]=>[7,6,1,2,3,5,4]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,1,2,5,7]=>[4,5,1,2,6,3,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,1,2,7,5]=>[4,5,1,2,7,3,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,1,5,2,7]=>[4,6,1,2,5,3,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,1,5,7,2]=>[4,7,1,2,5,3,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,1,7,2,5]=>[4,6,1,2,7,3,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,1,7,5,2]=>[4,7,1,2,6,3,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,2,1,5,7]=>[5,4,1,2,6,3,7]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,2,1,7,5]=>[5,4,1,2,7,3,6]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,2,5,1,7]=>[6,4,1,2,5,3,7]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,2,5,7,1]=>[7,4,1,2,5,3,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,2,7,1,5]=>[6,4,1,2,7,3,5]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,2,7,5,1]=>[7,4,1,2,6,3,5]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,5,1,2,7]=>[5,6,1,2,4,3,7]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,5,1,7,2]=>[5,7,1,2,4,3,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,5,2,1,7]=>[6,5,1,2,4,3,7]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,5,2,7,1]=>[7,5,1,2,4,3,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,5,7,1,2]=>[6,7,1,2,4,3,5]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,5,7,2,1]=>[7,6,1,2,4,3,5]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,7,1,2,5]=>[5,6,1,2,7,3,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,7,1,5,2]=>[5,7,1,2,6,3,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,7,2,1,5]=>[6,5,1,2,7,3,4]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,7,2,5,1]=>[7,5,1,2,6,3,4]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,7,5,1,2]=>[6,7,1,2,5,3,4]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,7,5,2,1]=>[7,6,1,2,5,3,4]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,1,2,5,6]=>[4,5,1,2,6,7,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,1,2,6,5]=>[4,5,1,2,7,6,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,1,5,2,6]=>[4,6,1,2,5,7,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,1,5,6,2]=>[4,7,1,2,5,6,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,1,6,2,5]=>[4,6,1,2,7,5,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,1,6,5,2]=>[4,7,1,2,6,5,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,2,1,5,6]=>[5,4,1,2,6,7,3]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,2,1,6,5]=>[5,4,1,2,7,6,3]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,2,5,1,6]=>[6,4,1,2,5,7,3]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,2,5,6,1]=>[7,4,1,2,5,6,3]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,2,6,1,5]=>[6,4,1,2,7,5,3]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,2,6,5,1]=>[7,4,1,2,6,5,3]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,5,1,2,6]=>[5,6,1,2,4,7,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,5,1,6,2]=>[5,7,1,2,4,6,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,5,2,1,6]=>[6,5,1,2,4,7,3]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,5,2,6,1]=>[7,5,1,2,4,6,3]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,5,6,1,2]=>[6,7,1,2,4,5,3]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,5,6,2,1]=>[7,6,1,2,4,5,3]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,6,1,2,5]=>[5,6,1,2,7,4,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,6,1,5,2]=>[5,7,1,2,6,4,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,6,2,1,5]=>[6,5,1,2,7,4,3]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,6,2,5,1]=>[7,5,1,2,6,4,3]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,6,5,1,2]=>[6,7,1,2,5,4,3]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,1,2,4,6,7]=>[3,4,1,5,2,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,4,7,6]=>[3,4,1,5,2,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,4,7]=>[3,4,1,6,2,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,7,4]=>[3,4,1,7,2,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,7,4,6]=>[3,4,1,6,2,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,7,6,4]=>[3,4,1,7,2,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,2,7,6]=>[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,6,2,7]=>[3,6,1,4,2,5,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,6,7,2]=>[3,7,1,4,2,5,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,7,2,6]=>[3,6,1,4,2,7,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,7,6,2]=>[3,7,1,4,2,6,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,7,4]=>[3,5,1,7,2,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,4,2,7]=>[3,6,1,5,2,4,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,4,7,2]=>[3,7,1,5,2,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,7,2,4]=>[3,6,1,7,2,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,7,4,2]=>[3,7,1,6,2,4,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,2,4,6]=>[3,5,1,6,2,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,2,6,4]=>[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,4,2,6]=>[3,6,1,5,2,7,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,4,6,2]=>[3,7,1,5,2,6,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,6,2,4]=>[3,6,1,7,2,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,6,4,2]=>[3,7,1,6,2,5,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,2,1,4,6,7]=>[4,3,1,5,2,6,7]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,4,7,6]=>[4,3,1,5,2,7,6]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,6,4,7]=>[4,3,1,6,2,5,7]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,6,7,4]=>[4,3,1,7,2,5,6]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,7,4,6]=>[4,3,1,6,2,7,5]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,7,6,4]=>[4,3,1,7,2,6,5]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,1,6,7]=>[5,3,1,4,2,6,7]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,1,7,6]=>[5,3,1,4,2,7,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,6,1,7]=>[6,3,1,4,2,5,7]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,6,7,1]=>[7,3,1,4,2,5,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,7,1,6]=>[6,3,1,4,2,7,5]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,7,6,1]=>[7,3,1,4,2,6,5]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,1,4,7]=>[5,3,1,6,2,4,7]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,1,7,4]=>[5,3,1,7,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,4,1,7]=>[6,3,1,5,2,4,7]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,4,7,1]=>[7,3,1,5,2,4,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,7,1,4]=>[6,3,1,7,2,4,5]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,7,4,1]=>[7,3,1,6,2,4,5]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,1,4,6]=>[5,3,1,6,2,7,4]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,1,6,4]=>[5,3,1,7,2,6,4]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,4,1,6]=>[6,3,1,5,2,7,4]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,4,6,1]=>[7,3,1,5,2,6,4]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,6,1,4]=>[6,3,1,7,2,5,4]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,6,4,1]=>[7,3,1,6,2,5,4]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,1,2,6,7]=>[4,5,1,3,2,6,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,1,2,7,6]=>[4,5,1,3,2,7,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,1,6,2,7]=>[4,6,1,3,2,5,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,1,6,7,2]=>[4,7,1,3,2,5,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,1,7,2,6]=>[4,6,1,3,2,7,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,1,7,6,2]=>[4,7,1,3,2,6,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,2,1,7,6]=>[5,4,1,3,2,7,6]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,2,7,1,6]=>[6,4,1,3,2,7,5]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,2,7,6,1]=>[7,4,1,3,2,6,5]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,6,1,2,7]=>[5,6,1,3,2,4,7]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,6,1,7,2]=>[5,7,1,3,2,4,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,6,2,1,7]=>[6,5,1,3,2,4,7]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,6,2,7,1]=>[7,5,1,3,2,4,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,6,7,1,2]=>[6,7,1,3,2,4,5]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,6,7,2,1]=>[7,6,1,3,2,4,5]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,7,1,2,6]=>[5,6,1,3,2,7,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,7,1,6,2]=>[5,7,1,3,2,6,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,7,2,1,6]=>[6,5,1,3,2,7,4]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,7,2,6,1]=>[7,5,1,3,2,6,4]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,7,6,1,2]=>[6,7,1,3,2,5,4]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,7,6,2,1]=>[7,6,1,3,2,5,4]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,1,2,4,7]=>[4,5,1,6,2,3,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,1,2,7,4]=>[4,5,1,7,2,3,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,1,4,2,7]=>[4,6,1,5,2,3,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,1,4,7,2]=>[4,7,1,5,2,3,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,1,7,2,4]=>[4,6,1,7,2,3,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,1,7,4,2]=>[4,7,1,6,2,3,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,2,1,4,7]=>[5,4,1,6,2,3,7]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,2,1,7,4]=>[5,4,1,7,2,3,6]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,2,4,1,7]=>[6,4,1,5,2,3,7]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,2,4,7,1]=>[7,4,1,5,2,3,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,2,7,1,4]=>[6,4,1,7,2,3,5]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,4,1,2,7]=>[5,6,1,4,2,3,7]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,4,1,7,2]=>[5,7,1,4,2,3,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,4,2,7,1]=>[7,5,1,4,2,3,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,4,7,1,2]=>[6,7,1,4,2,3,5]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,4,7,2,1]=>[7,6,1,4,2,3,5]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,7,1,2,4]=>[5,6,1,7,2,3,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,7,1,4,2]=>[5,7,1,6,2,3,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,7,2,1,4]=>[6,5,1,7,2,3,4]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,7,2,4,1]=>[7,5,1,6,2,3,4]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,7,4,1,2]=>[6,7,1,5,2,3,4]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,7,4,2,1]=>[7,6,1,5,2,3,4]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,1,2,4,6]=>[4,5,1,6,2,7,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,1,2,6,4]=>[4,5,1,7,2,6,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,1,4,2,6]=>[4,6,1,5,2,7,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,1,4,6,2]=>[4,7,1,5,2,6,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,1,6,2,4]=>[4,6,1,7,2,5,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,1,6,4,2]=>[4,7,1,6,2,5,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,2,1,4,6]=>[5,4,1,6,2,7,3]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,2,1,6,4]=>[5,4,1,7,2,6,3]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,2,4,1,6]=>[6,4,1,5,2,7,3]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,2,4,6,1]=>[7,4,1,5,2,6,3]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,2,6,1,4]=>[6,4,1,7,2,5,3]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,2,6,4,1]=>[7,4,1,6,2,5,3]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,4,1,2,6]=>[5,6,1,4,2,7,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,4,1,6,2]=>[5,7,1,4,2,6,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,4,2,1,6]=>[6,5,1,4,2,7,3]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,4,2,6,1]=>[7,5,1,4,2,6,3]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,4,6,1,2]=>[6,7,1,4,2,5,3]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,4,6,2,1]=>[7,6,1,4,2,5,3]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,6,1,2,4]=>[5,6,1,7,2,4,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,6,1,4,2]=>[5,7,1,6,2,4,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,6,2,1,4]=>[6,5,1,7,2,4,3]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,6,2,4,1]=>[7,5,1,6,2,4,3]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,6,4,1,2]=>[6,7,1,5,2,4,3]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,6,4,2,1]=>[7,6,1,5,2,4,3]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,1,2,4,5,7]=>[3,4,1,5,6,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,4,7,5]=>[3,4,1,5,7,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,5,4,7]=>[3,4,1,6,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,5,7,4]=>[3,4,1,7,5,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,7,4,5]=>[3,4,1,6,7,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,7,5,4]=>[3,4,1,7,6,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,2,5,7]=>[3,5,1,4,6,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,2,7,5]=>[3,5,1,4,7,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,5,2,7]=>[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,5,7,2]=>[3,7,1,4,5,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,7,5,2]=>[3,7,1,4,6,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,2,4,7]=>[3,5,1,6,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,2,7,4]=>[3,5,1,7,4,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,2,7]=>[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,7,2]=>[3,7,1,5,4,2,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,7,2,4]=>[3,6,1,7,4,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,7,4,2]=>[3,7,1,6,4,2,5]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,2,4,5]=>[3,5,1,6,7,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,2,5,4]=>[3,5,1,7,6,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,4,2,5]=>[3,6,1,5,7,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,4,5,2]=>[3,7,1,5,6,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,5,4,2]=>[3,7,1,6,5,2,4]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,1,4,5,7]=>[4,3,1,5,6,2,7]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,1,4,7,5]=>[4,3,1,5,7,2,6]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,1,5,7,4]=>[4,3,1,7,5,2,6]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,1,7,4,5]=>[4,3,1,6,7,2,5]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,1,7,5,4]=>[4,3,1,7,6,2,5]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,4,1,5,7]=>[5,3,1,4,6,2,7]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,4,1,7,5]=>[5,3,1,4,7,2,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,4,5,1,7]=>[6,3,1,4,5,2,7]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,4,5,7,1]=>[7,3,1,4,5,2,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,4,7,1,5]=>[6,3,1,4,7,2,5]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,4,7,5,1]=>[7,3,1,4,6,2,5]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,5,1,4,7]=>[5,3,1,6,4,2,7]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,5,1,7,4]=>[5,3,1,7,4,2,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,5,4,1,7]=>[6,3,1,5,4,2,7]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,5,4,7,1]=>[7,3,1,5,4,2,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,5,7,1,4]=>[6,3,1,7,4,2,5]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,5,7,4,1]=>[7,3,1,6,4,2,5]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,1,4,5]=>[5,3,1,6,7,2,4]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,1,5,4]=>[5,3,1,7,6,2,4]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,4,1,5]=>[6,3,1,5,7,2,4]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,4,5,1]=>[7,3,1,5,6,2,4]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,5,1,4]=>[6,3,1,7,5,2,4]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,5,4,1]=>[7,3,1,6,5,2,4]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,1,2,5,7]=>[4,5,1,3,6,2,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,1,2,7,5]=>[4,5,1,3,7,2,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,1,5,2,7]=>[4,6,1,3,5,2,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,1,5,7,2]=>[4,7,1,3,5,2,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,1,7,2,5]=>[4,6,1,3,7,2,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,1,7,5,2]=>[4,7,1,3,6,2,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,2,1,5,7]=>[5,4,1,3,6,2,7]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,2,1,7,5]=>[5,4,1,3,7,2,6]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,2,5,1,7]=>[6,4,1,3,5,2,7]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,2,5,7,1]=>[7,4,1,3,5,2,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,2,7,1,5]=>[6,4,1,3,7,2,5]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,2,7,5,1]=>[7,4,1,3,6,2,5]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,5,1,2,7]=>[5,6,1,3,4,2,7]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,5,1,7,2]=>[5,7,1,3,4,2,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,5,2,1,7]=>[6,5,1,3,4,2,7]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,5,2,7,1]=>[7,5,1,3,4,2,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,5,7,1,2]=>[6,7,1,3,4,2,5]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,5,7,2,1]=>[7,6,1,3,4,2,5]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,7,1,2,5]=>[5,6,1,3,7,2,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,7,1,5,2]=>[5,7,1,3,6,2,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,7,2,1,5]=>[6,5,1,3,7,2,4]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,7,2,5,1]=>[7,5,1,3,6,2,4]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,4,7,5,1,2]=>[6,7,1,3,5,2,4]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,7,5,2,1]=>[7,6,1,3,5,2,4]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,1,2,4,7]=>[4,5,1,6,3,2,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,1,2,7,4]=>[4,5,1,7,3,2,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,1,4,2,7]=>[4,6,1,5,3,2,7]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,1,4,7,2]=>[4,7,1,5,3,2,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,1,7,2,4]=>[4,6,1,7,3,2,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,1,7,4,2]=>[4,7,1,6,3,2,5]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,2,1,4,7]=>[5,4,1,6,3,2,7]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,2,1,7,4]=>[5,4,1,7,3,2,6]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,2,4,1,7]=>[6,4,1,5,3,2,7]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,2,4,7,1]=>[7,4,1,5,3,2,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,2,7,1,4]=>[6,4,1,7,3,2,5]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,2,7,4,1]=>[7,4,1,6,3,2,5]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,4,1,2,7]=>[5,6,1,4,3,2,7]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,4,1,7,2]=>[5,7,1,4,3,2,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,4,2,7,1]=>[7,5,1,4,3,2,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,4,7,1,2]=>[6,7,1,4,3,2,5]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,4,7,2,1]=>[7,6,1,4,3,2,5]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,7,1,2,4]=>[5,6,1,7,3,2,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,7,1,4,2]=>[5,7,1,6,3,2,4]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,7,2,1,4]=>[6,5,1,7,3,2,4]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,7,2,4,1]=>[7,5,1,6,3,2,4]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,7,4,1,2]=>[6,7,1,5,3,2,4]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,7,4,2,1]=>[7,6,1,5,3,2,4]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,1,2,4,5]=>[4,5,1,6,7,2,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,1,2,5,4]=>[4,5,1,7,6,2,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,1,4,2,5]=>[4,6,1,5,7,2,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,1,4,5,2]=>[4,7,1,5,6,2,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,1,5,2,4]=>[4,6,1,7,5,2,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,1,5,4,2]=>[4,7,1,6,5,2,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,2,1,4,5]=>[5,4,1,6,7,2,3]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,2,1,5,4]=>[5,4,1,7,6,2,3]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,2,4,1,5]=>[6,4,1,5,7,2,3]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,2,4,5,1]=>[7,4,1,5,6,2,3]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,2,5,1,4]=>[6,4,1,7,5,2,3]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,2,5,4,1]=>[7,4,1,6,5,2,3]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,4,1,2,5]=>[5,6,1,4,7,2,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,4,1,5,2]=>[5,7,1,4,6,2,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,4,2,1,5]=>[6,5,1,4,7,2,3]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,4,2,5,1]=>[7,5,1,4,6,2,3]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,4,5,1,2]=>[6,7,1,4,5,2,3]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,4,5,2,1]=>[7,6,1,4,5,2,3]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,5,1,2,4]=>[5,6,1,7,4,2,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,5,1,4,2]=>[5,7,1,6,4,2,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,5,2,1,4]=>[6,5,1,7,4,2,3]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,5,2,4,1]=>[7,5,1,6,4,2,3]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,5,4,1,2]=>[6,7,1,5,4,2,3]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,5,4,2,1]=>[7,6,1,5,4,2,3]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,1,2,4,5,6]=>[3,4,1,5,6,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,4,6,5]=>[3,4,1,5,7,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,5,4,6]=>[3,4,1,6,5,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,5,6,4]=>[3,4,1,7,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,6,4,5]=>[3,4,1,6,7,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,6,5,4]=>[3,4,1,7,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,2,5,6]=>[3,5,1,4,6,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,2,6,5]=>[3,5,1,4,7,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,5,2,6]=>[3,6,1,4,5,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,5,6,2]=>[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,6,2,5]=>[3,6,1,4,7,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,6,5,2]=>[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,2,4,6]=>[3,5,1,6,4,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,2,6,4]=>[3,5,1,7,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,2,6]=>[3,6,1,5,4,7,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,6,2]=>[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,6,2,4]=>[3,6,1,7,4,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,6,4,2]=>[3,7,1,6,4,5,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,2,4,5]=>[3,5,1,6,7,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,2,5,4]=>[3,5,1,7,6,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,4,2,5]=>[3,6,1,5,7,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,4,5,2]=>[3,7,1,5,6,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,5,2,4]=>[3,6,1,7,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,2,1,4,5,6]=>[4,3,1,5,6,7,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,4,6,5]=>[4,3,1,5,7,6,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,5,4,6]=>[4,3,1,6,5,7,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,5,6,4]=>[4,3,1,7,5,6,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,6,4,5]=>[4,3,1,6,7,5,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,1,5,6]=>[5,3,1,4,6,7,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,1,6,5]=>[5,3,1,4,7,6,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,5,1,6]=>[6,3,1,4,5,7,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,5,6,1]=>[7,3,1,4,5,6,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,6,1,5]=>[6,3,1,4,7,5,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,6,5,1]=>[7,3,1,4,6,5,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,5,1,4,6]=>[5,3,1,6,4,7,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,5,1,6,4]=>[5,3,1,7,4,6,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,5,4,1,6]=>[6,3,1,5,4,7,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,5,4,6,1]=>[7,3,1,5,4,6,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,5,6,1,4]=>[6,3,1,7,4,5,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,5,6,4,1]=>[7,3,1,6,4,5,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,1,4,5]=>[5,3,1,6,7,4,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,4,1,5]=>[6,3,1,5,7,4,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,4,5,1]=>[7,3,1,5,6,4,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,5,4,1]=>[7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,1,2,5,6]=>[4,5,1,3,6,7,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,1,2,6,5]=>[4,5,1,3,7,6,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,1,5,2,6]=>[4,6,1,3,5,7,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,1,5,6,2]=>[4,7,1,3,5,6,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,1,6,2,5]=>[4,6,1,3,7,5,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,1,6,5,2]=>[4,7,1,3,6,5,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,2,1,5,6]=>[5,4,1,3,6,7,2]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,2,1,6,5]=>[5,4,1,3,7,6,2]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,2,5,1,6]=>[6,4,1,3,5,7,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,2,5,6,1]=>[7,4,1,3,5,6,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,2,6,1,5]=>[6,4,1,3,7,5,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,2,6,5,1]=>[7,4,1,3,6,5,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,5,1,2,6]=>[5,6,1,3,4,7,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,5,1,6,2]=>[5,7,1,3,4,6,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,5,2,1,6]=>[6,5,1,3,4,7,2]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,5,2,6,1]=>[7,5,1,3,4,6,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,5,6,1,2]=>[6,7,1,3,4,5,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,5,6,2,1]=>[7,6,1,3,4,5,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,6,1,2,5]=>[5,6,1,3,7,4,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,6,1,5,2]=>[5,7,1,3,6,4,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,6,2,1,5]=>[6,5,1,3,7,4,2]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,6,2,5,1]=>[7,5,1,3,6,4,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,6,5,1,2]=>[6,7,1,3,5,4,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,4,6,5,2,1]=>[7,6,1,3,5,4,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,1,2,4,6]=>[4,5,1,6,3,7,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,1,2,6,4]=>[4,5,1,7,3,6,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,1,4,2,6]=>[4,6,1,5,3,7,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,1,4,6,2]=>[4,7,1,5,3,6,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,1,6,2,4]=>[4,6,1,7,3,5,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,1,6,4,2]=>[4,7,1,6,3,5,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,2,1,4,6]=>[5,4,1,6,3,7,2]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,2,1,6,4]=>[5,4,1,7,3,6,2]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,2,4,1,6]=>[6,4,1,5,3,7,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,2,4,6,1]=>[7,4,1,5,3,6,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,2,6,1,4]=>[6,4,1,7,3,5,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,2,6,4,1]=>[7,4,1,6,3,5,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,4,1,2,6]=>[5,6,1,4,3,7,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,4,1,6,2]=>[5,7,1,4,3,6,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,4,2,1,6]=>[6,5,1,4,3,7,2]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,4,2,6,1]=>[7,5,1,4,3,6,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,4,6,1,2]=>[6,7,1,4,3,5,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,4,6,2,1]=>[7,6,1,4,3,5,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,6,1,2,4]=>[5,6,1,7,3,4,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,6,1,4,2]=>[5,7,1,6,3,4,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,6,2,1,4]=>[6,5,1,7,3,4,2]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,6,2,4,1]=>[7,5,1,6,3,4,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,5,6,4,1,2]=>[6,7,1,5,3,4,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,6,4,2,1]=>[7,6,1,5,3,4,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,1,2,4,5]=>[4,5,1,6,7,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,1,2,5,4]=>[4,5,1,7,6,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,1,4,2,5]=>[4,6,1,5,7,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,1,4,5,2]=>[4,7,1,5,6,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,1,5,2,4]=>[4,6,1,7,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,1,5,4,2]=>[4,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,2,1,4,5]=>[5,4,1,6,7,3,2]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,2,4,1,5]=>[6,4,1,5,7,3,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,2,4,5,1]=>[7,4,1,5,6,3,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,2,5,4,1]=>[7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,4,1,2,5]=>[5,6,1,4,7,3,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,4,1,5,2]=>[5,7,1,4,6,3,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,4,2,1,5]=>[6,5,1,4,7,3,2]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,4,2,5,1]=>[7,5,1,4,6,3,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,4,5,1,2]=>[6,7,1,4,5,3,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,4,5,2,1]=>[7,6,1,4,5,3,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,5,1,2,4]=>[5,6,1,7,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,5,1,4,2]=>[5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,5,2,4,1]=>[7,5,1,6,4,3,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,6,7,5]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,7,5,6]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,7,6,5]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,3,6,7]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,3,7,6]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,6,3,7]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,6,7,3]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,7,3,6]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,7,6,3]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,3,5,7]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,3,7,5]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,5,3,7]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,5,7,3]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,7,3,5]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,7,5,3]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,3,5,6]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,3,6,5]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,5,3,6]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,5,6,3]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,6,3,5]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,6,5,3]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,2,5,7,6]=>[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,2,6,7,5]=>[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,2,7,5,6]=>[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,5,2,6,7]=>[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,5,2,7,6]=>[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,5,6,2,7]=>[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,5,6,7,2]=>[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,5,7,2,6]=>[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,5,7,6,2]=>[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,6,2,5,7]=>[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,6,2,7,5]=>[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,6,5,2,7]=>[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,6,5,7,2]=>[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,6,7,2,5]=>[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,6,7,5,2]=>[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,7,2,5,6]=>[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,7,5,2,6]=>[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,7,5,6,2]=>[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,7,6,5,2]=>[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,3,6,7]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,3,7,6]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,6,7,3]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,7,3,6]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,7,6,3]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,3,2,6,7]=>[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,3,2,7,6]=>[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,3,6,2,7]=>[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,3,6,7,2]=>[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,3,7,2,6]=>[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,3,7,6,2]=>[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,2,3,7]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,2,7,3]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,3,2,7]=>[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,3,7,2]=>[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,7,2,3]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,7,3,2]=>[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,2,3,6]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,2,6,3]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,3,2,6]=>[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,3,6,2]=>[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,6,2,3]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,6,3,2]=>[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,3,5,7]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,3,7,5]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,5,3,7]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,5,7,3]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,7,3,5]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,7,5,3]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,2,5,7]=>[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,2,7,5]=>[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,5,2,7]=>[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,5,7,2]=>[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,7,2,5]=>[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,7,5,2]=>[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,2,3,7]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,2,7,3]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,3,2,7]=>[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,3,7,2]=>[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,7,2,3]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,7,3,2]=>[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,2,3,5]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,2,5,3]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,3,2,5]=>[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,3,5,2]=>[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,5,2,3]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,5,3,2]=>[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,3,5,6]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,3,6,5]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,5,3,6]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,5,6,3]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,6,3,5]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,6,5,3]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,2,5,6]=>[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,5,2,6]=>[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,5,6,2]=>[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,6,5,2]=>[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,2,3,6]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,2,6,3]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,3,2,6]=>[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,3,6,2]=>[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,6,2,3]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,6,3,2]=>[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,6,2,3,5]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,6,2,5,3]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,6,3,5,2]=>[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,6,5,2,3]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,6,5,3,2]=>[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,5,7,6]=>[3,2,4,1,5,7,6]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,6,5,7]=>[3,2,4,1,6,5,7]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,6,7,5]=>[3,2,4,1,7,5,6]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,7,5,6]=>[3,2,4,1,6,7,5]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,7,6,5]=>[3,2,4,1,7,6,5]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,3,6,7]=>[3,2,5,1,4,6,7]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,3,7,6]=>[3,2,5,1,4,7,6]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,6,3,7]=>[3,2,6,1,4,5,7]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,6,7,3]=>[3,2,7,1,4,5,6]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,7,3,6]=>[3,2,6,1,4,7,5]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,7,6,3]=>[3,2,7,1,4,6,5]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,3,5,7]=>[3,2,5,1,6,4,7]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,3,7,5]=>[3,2,5,1,7,4,6]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,5,3,7]=>[3,2,6,1,5,4,7]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,5,7,3]=>[3,2,7,1,5,4,6]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,7,3,5]=>[3,2,6,1,7,4,5]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,7,5,3]=>[3,2,7,1,6,4,5]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,3,5,6]=>[3,2,5,1,6,7,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,3,6,5]=>[3,2,5,1,7,6,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,5,3,6]=>[3,2,6,1,5,7,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,5,6,3]=>[3,2,7,1,5,6,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,6,3,5]=>[3,2,6,1,7,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,6,5,3]=>[3,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,6,7,5]=>[4,2,3,1,7,5,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,7,5,6]=>[4,2,3,1,6,7,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,1,6,7]=>[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,1,7,6]=>[5,2,3,1,4,7,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,6,1,7]=>[6,2,3,1,4,5,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,6,7,1]=>[7,2,3,1,4,5,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,7,1,6]=>[6,2,3,1,4,7,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,7,6,1]=>[7,2,3,1,4,6,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,6,1,5,7]=>[5,2,3,1,6,4,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,6,1,7,5]=>[5,2,3,1,7,4,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,6,5,1,7]=>[6,2,3,1,5,4,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,6,5,7,1]=>[7,2,3,1,5,4,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,6,7,1,5]=>[6,2,3,1,7,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,6,7,5,1]=>[7,2,3,1,6,4,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,1,5,6]=>[5,2,3,1,6,7,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,1,6,5]=>[5,2,3,1,7,6,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,5,1,6]=>[6,2,3,1,5,7,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,5,6,1]=>[7,2,3,1,5,6,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,6,1,5]=>[6,2,3,1,7,5,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,6,5,1]=>[7,2,3,1,6,5,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,3,7,6]=>[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,6,3,7]=>[4,2,6,1,3,5,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,6,7,3]=>[4,2,7,1,3,5,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,7,3,6]=>[4,2,6,1,3,7,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,1,7,6,3]=>[4,2,7,1,3,6,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,3,1,6,7]=>[5,2,4,1,3,6,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,3,1,7,6]=>[5,2,4,1,3,7,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,3,6,1,7]=>[6,2,4,1,3,5,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,3,6,7,1]=>[7,2,4,1,3,5,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,3,7,1,6]=>[6,2,4,1,3,7,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,3,7,6,1]=>[7,2,4,1,3,6,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,6,1,3,7]=>[5,2,6,1,3,4,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,6,1,7,3]=>[5,2,7,1,3,4,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,6,3,1,7]=>[6,2,5,1,3,4,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,6,3,7,1]=>[7,2,5,1,3,4,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,6,7,1,3]=>[6,2,7,1,3,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,6,7,3,1]=>[7,2,6,1,3,4,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,7,1,3,6]=>[5,2,6,1,3,7,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,7,1,6,3]=>[5,2,7,1,3,6,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,7,3,1,6]=>[6,2,5,1,3,7,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,7,3,6,1]=>[7,2,5,1,3,6,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,7,6,1,3]=>[6,2,7,1,3,5,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,5,7,6,3,1]=>[7,2,6,1,3,5,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,3,5,7]=>[4,2,5,1,6,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,3,7,5]=>[4,2,5,1,7,3,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,5,7,3]=>[4,2,7,1,5,3,6]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,1,7,5,3]=>[4,2,7,1,6,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,3,1,5,7]=>[5,2,4,1,6,3,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,3,1,7,5]=>[5,2,4,1,7,3,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,3,5,1,7]=>[6,2,4,1,5,3,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,3,5,7,1]=>[7,2,4,1,5,3,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,3,7,1,5]=>[6,2,4,1,7,3,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,3,7,5,1]=>[7,2,4,1,6,3,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,1,3,7]=>[5,2,6,1,4,3,7]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,1,7,3]=>[5,2,7,1,4,3,6]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,3,1,7]=>[6,2,5,1,4,3,7]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,3,7,1]=>[7,2,5,1,4,3,6]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,7,1,3]=>[6,2,7,1,4,3,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,7,3,1]=>[7,2,6,1,4,3,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,7,1,3,5]=>[5,2,6,1,7,3,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,7,1,5,3]=>[5,2,7,1,6,3,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,7,3,1,5]=>[6,2,5,1,7,3,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,7,3,5,1]=>[7,2,5,1,6,3,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,7,5,1,3]=>[6,2,7,1,5,3,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,7,5,3,1]=>[7,2,6,1,5,3,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,3,5,6]=>[4,2,5,1,6,7,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,3,6,5]=>[4,2,5,1,7,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,5,3,6]=>[4,2,6,1,5,7,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,5,6,3]=>[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,6,3,5]=>[4,2,6,1,7,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,3,1,5,6]=>[5,2,4,1,6,7,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,3,1,6,5]=>[5,2,4,1,7,6,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,3,5,1,6]=>[6,2,4,1,5,7,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,3,5,6,1]=>[7,2,4,1,5,6,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,3,6,1,5]=>[6,2,4,1,7,5,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,3,6,5,1]=>[7,2,4,1,6,5,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,5,1,3,6]=>[5,2,6,1,4,7,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,5,1,6,3]=>[5,2,7,1,4,6,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,5,3,1,6]=>[6,2,5,1,4,7,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,5,3,6,1]=>[7,2,5,1,4,6,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,5,6,1,3]=>[6,2,7,1,4,5,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,5,6,3,1]=>[7,2,6,1,4,5,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,6,1,3,5]=>[5,2,6,1,7,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,6,1,5,3]=>[5,2,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,6,3,1,5]=>[6,2,5,1,7,4,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,6,3,5,1]=>[7,2,5,1,6,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,6,5,1,3]=>[6,2,7,1,5,4,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,6,5,3,1]=>[7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,2,5,7,6]=>[3,4,2,1,5,7,6]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,2,6,7,5]=>[3,4,2,1,7,5,6]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,2,7,5,6]=>[3,4,2,1,6,7,5]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,2,7,6,5]=>[3,4,2,1,7,6,5]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,2,6,7]=>[3,5,2,1,4,6,7]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,2,7,6]=>[3,5,2,1,4,7,6]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,6,2,7]=>[3,6,2,1,4,5,7]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,6,7,2]=>[3,7,2,1,4,5,6]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,7,2,6]=>[3,6,2,1,4,7,5]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,7,6,2]=>[3,7,2,1,4,6,5]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,2,5,7]=>[3,5,2,1,6,4,7]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,2,7,5]=>[3,5,2,1,7,4,6]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,5,2,7]=>[3,6,2,1,5,4,7]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,5,7,2]=>[3,7,2,1,5,4,6]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,7,2,5]=>[3,6,2,1,7,4,5]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,7,5,2]=>[3,7,2,1,6,4,5]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,2,5,6]=>[3,5,2,1,6,7,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,2,6,5]=>[3,5,2,1,7,6,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,5,2,6]=>[3,6,2,1,5,7,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,5,6,2]=>[3,7,2,1,5,6,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,6,2,5]=>[3,6,2,1,7,5,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,6,5,2]=>[3,7,2,1,6,5,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,1,7,6]=>[5,3,2,1,4,7,6]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,7,1,6]=>[6,3,2,1,4,7,5]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,1,5,7]=>[5,3,2,1,6,4,7]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,1,7,5]=>[5,3,2,1,7,4,6]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,5,1,7]=>[6,3,2,1,5,4,7]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,5,7,1]=>[7,3,2,1,5,4,6]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,7,1,5]=>[6,3,2,1,7,4,5]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,7,5,1]=>[7,3,2,1,6,4,5]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,1,5,6]=>[5,3,2,1,6,7,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,5,1,6]=>[6,3,2,1,5,7,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,5,6,1]=>[7,3,2,1,5,6,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,1,2,6,7]=>[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,1,2,7,6]=>[4,5,2,1,3,7,6]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,1,6,2,7]=>[4,6,2,1,3,5,7]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,1,6,7,2]=>[4,7,2,1,3,5,6]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,1,7,2,6]=>[4,6,2,1,3,7,5]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,1,7,6,2]=>[4,7,2,1,3,6,5]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,2,1,7,6]=>[5,4,2,1,3,7,6]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,2,7,1,6]=>[6,4,2,1,3,7,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,2,7,6,1]=>[7,4,2,1,3,6,5]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,6,1,2,7]=>[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,6,1,7,2]=>[5,7,2,1,3,4,6]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,6,7,1,2]=>[6,7,2,1,3,4,5]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,7,1,2,6]=>[5,6,2,1,3,7,4]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,7,1,6,2]=>[5,7,2,1,3,6,4]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,7,2,1,6]=>[6,5,2,1,3,7,4]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,7,2,6,1]=>[7,5,2,1,3,6,4]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,7,6,1,2]=>[6,7,2,1,3,5,4]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,1,2,5,7]=>[4,5,2,1,6,3,7]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,1,2,7,5]=>[4,5,2,1,7,3,6]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,1,5,2,7]=>[4,6,2,1,5,3,7]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,1,5,7,2]=>[4,7,2,1,5,3,6]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,1,7,2,5]=>[4,6,2,1,7,3,5]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,1,7,5,2]=>[4,7,2,1,6,3,5]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,2,1,5,7]=>[5,4,2,1,6,3,7]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,2,1,7,5]=>[5,4,2,1,7,3,6]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,2,5,1,7]=>[6,4,2,1,5,3,7]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,2,5,7,1]=>[7,4,2,1,5,3,6]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,2,7,1,5]=>[6,4,2,1,7,3,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,2,7,5,1]=>[7,4,2,1,6,3,5]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,5,1,2,7]=>[5,6,2,1,4,3,7]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,5,1,7,2]=>[5,7,2,1,4,3,6]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,5,2,7,1]=>[7,5,2,1,4,3,6]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,5,7,1,2]=>[6,7,2,1,4,3,5]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,5,7,2,1]=>[7,6,2,1,4,3,5]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,7,1,2,5]=>[5,6,2,1,7,3,4]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,7,1,5,2]=>[5,7,2,1,6,3,4]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,7,2,1,5]=>[6,5,2,1,7,3,4]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,7,2,5,1]=>[7,5,2,1,6,3,4]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,7,5,1,2]=>[6,7,2,1,5,3,4]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,1,2,5,6]=>[4,5,2,1,6,7,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,1,2,6,5]=>[4,5,2,1,7,6,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,1,5,2,6]=>[4,6,2,1,5,7,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,1,5,6,2]=>[4,7,2,1,5,6,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,1,6,2,5]=>[4,6,2,1,7,5,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,1,6,5,2]=>[4,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,2,1,5,6]=>[5,4,2,1,6,7,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,2,5,1,6]=>[6,4,2,1,5,7,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,2,5,6,1]=>[7,4,2,1,5,6,3]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,2,6,5,1]=>[7,4,2,1,6,5,3]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,5,1,2,6]=>[5,6,2,1,4,7,3]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,5,1,6,2]=>[5,7,2,1,4,6,3]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,5,2,1,6]=>[6,5,2,1,4,7,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,5,2,6,1]=>[7,5,2,1,4,6,3]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,5,6,1,2]=>[6,7,2,1,4,5,3]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,5,6,2,1]=>[7,6,2,1,4,5,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,6,1,2,5]=>[5,6,2,1,7,4,3]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,6,1,5,2]=>[5,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,6,2,5,1]=>[7,5,2,1,6,4,3]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,7,6,5,1,2]=>[6,7,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,7,6,5,2,1]=>[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,1,2,3,6,7]=>[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,2,3,7,6]=>[3,4,5,1,2,7,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,2,6,3,7]=>[3,4,6,1,2,5,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,2,6,7,3]=>[3,4,7,1,2,5,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,2,7,3,6]=>[3,4,6,1,2,7,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,2,7,6,3]=>[3,4,7,1,2,6,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,3,2,6,7]=>[3,5,4,1,2,6,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,3,2,7,6]=>[3,5,4,1,2,7,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,3,6,2,7]=>[3,6,4,1,2,5,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,3,6,7,2]=>[3,7,4,1,2,5,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,3,7,2,6]=>[3,6,4,1,2,7,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,3,7,6,2]=>[3,7,4,1,2,6,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,6,2,3,7]=>[3,5,6,1,2,4,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,6,3,2,7]=>[3,6,5,1,2,4,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,6,3,7,2]=>[3,7,5,1,2,4,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,6,7,2,3]=>[3,6,7,1,2,4,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,6,7,3,2]=>[3,7,6,1,2,4,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,7,2,3,6]=>[3,5,6,1,2,7,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,7,2,6,3]=>[3,5,7,1,2,6,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,7,3,2,6]=>[3,6,5,1,2,7,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,7,3,6,2]=>[3,7,5,1,2,6,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,7,6,2,3]=>[3,6,7,1,2,5,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,1,7,6,3,2]=>[3,7,6,1,2,5,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,2,1,3,6,7]=>[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,1,3,7,6]=>[4,3,5,1,2,7,6]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,1,6,3,7]=>[4,3,6,1,2,5,7]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,1,6,7,3]=>[4,3,7,1,2,5,6]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,1,7,3,6]=>[4,3,6,1,2,7,5]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,1,7,6,3]=>[4,3,7,1,2,6,5]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,3,1,6,7]=>[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,3,1,7,6]=>[5,3,4,1,2,7,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,3,6,1,7]=>[6,3,4,1,2,5,7]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,3,6,7,1]=>[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,3,7,1,6]=>[6,3,4,1,2,7,5]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,3,7,6,1]=>[7,3,4,1,2,6,5]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,6,1,3,7]=>[5,3,6,1,2,4,7]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,6,1,7,3]=>[5,3,7,1,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,6,3,1,7]=>[6,3,5,1,2,4,7]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,6,3,7,1]=>[7,3,5,1,2,4,6]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,6,7,1,3]=>[6,3,7,1,2,4,5]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,6,7,3,1]=>[7,3,6,1,2,4,5]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,1,3,6]=>[5,3,6,1,2,7,4]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,1,6,3]=>[5,3,7,1,2,6,4]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,3,1,6]=>[6,3,5,1,2,7,4]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,3,6,1]=>[7,3,5,1,2,6,4]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,6,1,3]=>[6,3,7,1,2,5,4]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,6,3,1]=>[7,3,6,1,2,5,4]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,3,1,2,6,7]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,2,7,6]=>[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,6,2,7]=>[4,6,3,1,2,5,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,6,7,2]=>[4,7,3,1,2,5,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,7,2,6]=>[4,6,3,1,2,7,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,1,7,6,2]=>[4,7,3,1,2,6,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,2,1,7,6]=>[5,4,3,1,2,7,6]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,2,7,1,6]=>[6,4,3,1,2,7,5]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,2,7,6,1]=>[7,4,3,1,2,6,5]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,6,1,2,7]=>[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,6,1,7,2]=>[5,7,3,1,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,6,7,1,2]=>[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,7,1,2,6]=>[5,6,3,1,2,7,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,7,1,6,2]=>[5,7,3,1,2,6,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,7,2,1,6]=>[6,5,3,1,2,7,4]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,7,2,6,1]=>[7,5,3,1,2,6,4]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,7,6,1,2]=>[6,7,3,1,2,5,4]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,3,7,6,2,1]=>[7,6,3,1,2,5,4]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,1,2,3,7]=>[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,2,7,3]=>[4,5,7,1,2,3,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,3,2,7]=>[4,6,5,1,2,3,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,3,7,2]=>[4,7,5,1,2,3,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,7,2,3]=>[4,6,7,1,2,3,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,7,3,2]=>[4,7,6,1,2,3,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,2,1,3,7]=>[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,1,7,3]=>[5,4,7,1,2,3,6]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,3,1,7]=>[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,3,7,1]=>[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,7,1,3]=>[6,4,7,1,2,3,5]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,7,3,1]=>[7,4,6,1,2,3,5]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,3,1,2,7]=>[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,6,3,1,7,2]=>[5,7,4,1,2,3,6]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,3,7,1,2]=>[6,7,4,1,2,3,5]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,7,1,3,2]=>[5,7,6,1,2,3,4]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,7,2,1,3]=>[6,5,7,1,2,3,4]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,7,2,3,1]=>[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,7,3,1,2]=>[6,7,5,1,2,3,4]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,1,2,3,6]=>[4,5,6,1,2,7,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,2,6,3]=>[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,3,2,6]=>[4,6,5,1,2,7,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,3,6,2]=>[4,7,5,1,2,6,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,6,2,3]=>[4,6,7,1,2,5,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,6,3,2]=>[4,7,6,1,2,5,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,2,1,3,6]=>[5,4,6,1,2,7,3]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,1,6,3]=>[5,4,7,1,2,6,3]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,3,1,6]=>[6,4,5,1,2,7,3]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,3,6,1]=>[7,4,5,1,2,6,3]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,6,1,3]=>[6,4,7,1,2,5,3]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,6,3,1]=>[7,4,6,1,2,5,3]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,3,1,2,6]=>[5,6,4,1,2,7,3]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,3,1,6,2]=>[5,7,4,1,2,6,3]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,3,2,1,6]=>[6,5,4,1,2,7,3]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,3,2,6,1]=>[7,5,4,1,2,6,3]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,3,6,1,2]=>[6,7,4,1,2,5,3]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,3,6,2,1]=>[7,6,4,1,2,5,3]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,6,1,2,3]=>[5,6,7,1,2,4,3]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,6,1,3,2]=>[5,7,6,1,2,4,3]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,6,2,1,3]=>[6,5,7,1,2,4,3]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,6,2,3,1]=>[7,5,6,1,2,4,3]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,6,3,1,2]=>[6,7,5,1,2,4,3]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,6,3,2,1]=>[7,6,5,1,2,4,3]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,1,2,3,5,7]=>[3,4,5,1,6,2,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,2,3,7,5]=>[3,4,5,1,7,2,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,2,5,3,7]=>[3,4,6,1,5,2,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,2,5,7,3]=>[3,4,7,1,5,2,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,2,7,3,5]=>[3,4,6,1,7,2,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,2,7,5,3]=>[3,4,7,1,6,2,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,3,2,5,7]=>[3,5,4,1,6,2,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,3,2,7,5]=>[3,5,4,1,7,2,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,3,5,2,7]=>[3,6,4,1,5,2,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,3,5,7,2]=>[3,7,4,1,5,2,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,3,7,2,5]=>[3,6,4,1,7,2,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,3,7,5,2]=>[3,7,4,1,6,2,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,5,2,3,7]=>[3,5,6,1,4,2,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,5,2,7,3]=>[3,5,7,1,4,2,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,5,3,2,7]=>[3,6,5,1,4,2,7]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,5,3,7,2]=>[3,7,5,1,4,2,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,5,7,2,3]=>[3,6,7,1,4,2,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,5,7,3,2]=>[3,7,6,1,4,2,5]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,7,2,3,5]=>[3,5,6,1,7,2,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,7,2,5,3]=>[3,5,7,1,6,2,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,7,3,2,5]=>[3,6,5,1,7,2,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,7,3,5,2]=>[3,7,5,1,6,2,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,7,5,2,3]=>[3,6,7,1,5,2,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,1,7,5,3,2]=>[3,7,6,1,5,2,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,2,1,3,5,7]=>[4,3,5,1,6,2,7]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,1,3,7,5]=>[4,3,5,1,7,2,6]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,1,5,3,7]=>[4,3,6,1,5,2,7]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,1,5,7,3]=>[4,3,7,1,5,2,6]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,1,7,3,5]=>[4,3,6,1,7,2,5]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,1,7,5,3]=>[4,3,7,1,6,2,5]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,3,1,5,7]=>[5,3,4,1,6,2,7]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,3,1,7,5]=>[5,3,4,1,7,2,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,3,5,1,7]=>[6,3,4,1,5,2,7]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,3,5,7,1]=>[7,3,4,1,5,2,6]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,3,7,1,5]=>[6,3,4,1,7,2,5]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,3,7,5,1]=>[7,3,4,1,6,2,5]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,5,1,3,7]=>[5,3,6,1,4,2,7]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,5,1,7,3]=>[5,3,7,1,4,2,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,5,3,1,7]=>[6,3,5,1,4,2,7]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,5,3,7,1]=>[7,3,5,1,4,2,6]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,5,7,1,3]=>[6,3,7,1,4,2,5]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,5,7,3,1]=>[7,3,6,1,4,2,5]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,7,1,3,5]=>[5,3,6,1,7,2,4]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,7,1,5,3]=>[5,3,7,1,6,2,4]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,7,3,1,5]=>[6,3,5,1,7,2,4]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,7,3,5,1]=>[7,3,5,1,6,2,4]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,7,5,1,3]=>[6,3,7,1,5,2,4]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,7,5,3,1]=>[7,3,6,1,5,2,4]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,3,1,2,5,7]=>[4,5,3,1,6,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,2,7,5]=>[4,5,3,1,7,2,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,5,2,7]=>[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,5,7,2]=>[4,7,3,1,5,2,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,7,2,5]=>[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,1,7,5,2]=>[4,7,3,1,6,2,5]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,2,1,5,7]=>[5,4,3,1,6,2,7]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,2,1,7,5]=>[5,4,3,1,7,2,6]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,2,5,1,7]=>[6,4,3,1,5,2,7]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,2,5,7,1]=>[7,4,3,1,5,2,6]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,2,7,1,5]=>[6,4,3,1,7,2,5]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,2,7,5,1]=>[7,4,3,1,6,2,5]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,5,1,2,7]=>[5,6,3,1,4,2,7]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,5,1,7,2]=>[5,7,3,1,4,2,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,5,2,1,7]=>[6,5,3,1,4,2,7]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,5,2,7,1]=>[7,5,3,1,4,2,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,5,7,1,2]=>[6,7,3,1,4,2,5]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,5,7,2,1]=>[7,6,3,1,4,2,5]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,7,1,2,5]=>[5,6,3,1,7,2,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,7,1,5,2]=>[5,7,3,1,6,2,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,7,2,1,5]=>[6,5,3,1,7,2,4]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,7,2,5,1]=>[7,5,3,1,6,2,4]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,7,5,1,2]=>[6,7,3,1,5,2,4]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,3,7,5,2,1]=>[7,6,3,1,5,2,4]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,5,1,2,3,7]=>[4,5,6,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,2,7,3]=>[4,5,7,1,3,2,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,3,2,7]=>[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,3,7,2]=>[4,7,5,1,3,2,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,7,2,3]=>[4,6,7,1,3,2,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,1,7,3,2]=>[4,7,6,1,3,2,5]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,2,1,3,7]=>[5,4,6,1,3,2,7]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,1,7,3]=>[5,4,7,1,3,2,6]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,3,1,7]=>[6,4,5,1,3,2,7]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,3,7,1]=>[7,4,5,1,3,2,6]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,7,1,3]=>[6,4,7,1,3,2,5]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,7,3,1]=>[7,4,6,1,3,2,5]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,3,1,2,7]=>[5,6,4,1,3,2,7]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,5,3,1,7,2]=>[5,7,4,1,3,2,6]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,5,3,2,7,1]=>[7,5,4,1,3,2,6]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,5,3,7,1,2]=>[6,7,4,1,3,2,5]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,5,3,7,2,1]=>[7,6,4,1,3,2,5]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,5,7,1,2,3]=>[5,6,7,1,3,2,4]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,7,1,3,2]=>[5,7,6,1,3,2,4]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,7,2,1,3]=>[6,5,7,1,3,2,4]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,7,2,3,1]=>[7,5,6,1,3,2,4]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,7,3,1,2]=>[6,7,5,1,3,2,4]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,5,7,3,2,1]=>[7,6,5,1,3,2,4]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,1,2,3,5]=>[4,5,6,1,7,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,2,5,3]=>[4,5,7,1,6,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,3,2,5]=>[4,6,5,1,7,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,3,5,2]=>[4,7,5,1,6,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,5,2,3]=>[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,5,3,2]=>[4,7,6,1,5,2,3]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,2,1,3,5]=>[5,4,6,1,7,2,3]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,1,5,3]=>[5,4,7,1,6,2,3]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,3,1,5]=>[6,4,5,1,7,2,3]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,3,5,1]=>[7,4,5,1,6,2,3]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,5,1,3]=>[6,4,7,1,5,2,3]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,5,3,1]=>[7,4,6,1,5,2,3]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,3,1,2,5]=>[5,6,4,1,7,2,3]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,3,1,5,2]=>[5,7,4,1,6,2,3]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,3,2,1,5]=>[6,5,4,1,7,2,3]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,3,2,5,1]=>[7,5,4,1,6,2,3]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,3,5,1,2]=>[6,7,4,1,5,2,3]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,3,5,2,1]=>[7,6,4,1,5,2,3]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,5,1,2,3]=>[5,6,7,1,4,2,3]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,5,1,3,2]=>[5,7,6,1,4,2,3]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,5,2,1,3]=>[6,5,7,1,4,2,3]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,5,2,3,1]=>[7,5,6,1,4,2,3]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,5,3,1,2]=>[6,7,5,1,4,2,3]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,5,3,2,1]=>[7,6,5,1,4,2,3]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,1,2,3,5,6]=>[3,4,5,1,6,7,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,2,3,6,5]=>[3,4,5,1,7,6,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,2,5,3,6]=>[3,4,6,1,5,7,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,2,5,6,3]=>[3,4,7,1,5,6,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,2,6,3,5]=>[3,4,6,1,7,5,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,2,6,5,3]=>[3,4,7,1,6,5,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,3,2,5,6]=>[3,5,4,1,6,7,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,3,2,6,5]=>[3,5,4,1,7,6,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,3,5,2,6]=>[3,6,4,1,5,7,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,3,5,6,2]=>[3,7,4,1,5,6,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,3,6,2,5]=>[3,6,4,1,7,5,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,3,6,5,2]=>[3,7,4,1,6,5,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,5,2,3,6]=>[3,5,6,1,4,7,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,5,2,6,3]=>[3,5,7,1,4,6,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,5,3,2,6]=>[3,6,5,1,4,7,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,5,3,6,2]=>[3,7,5,1,4,6,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,5,6,2,3]=>[3,6,7,1,4,5,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,5,6,3,2]=>[3,7,6,1,4,5,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,6,2,3,5]=>[3,5,6,1,7,4,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,6,2,5,3]=>[3,5,7,1,6,4,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,6,3,2,5]=>[3,6,5,1,7,4,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,6,3,5,2]=>[3,7,5,1,6,4,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,6,5,2,3]=>[3,6,7,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,1,6,5,3,2]=>[3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,2,1,3,5,6]=>[4,3,5,1,6,7,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,1,3,6,5]=>[4,3,5,1,7,6,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,1,5,3,6]=>[4,3,6,1,5,7,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,1,5,6,3]=>[4,3,7,1,5,6,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,1,6,3,5]=>[4,3,6,1,7,5,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,1,6,5,3]=>[4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,3,1,5,6]=>[5,3,4,1,6,7,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,3,1,6,5]=>[5,3,4,1,7,6,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,3,5,1,6]=>[6,3,4,1,5,7,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,3,5,6,1]=>[7,3,4,1,5,6,2]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,3,6,1,5]=>[6,3,4,1,7,5,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,3,6,5,1]=>[7,3,4,1,6,5,2]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,1,3,6]=>[5,3,6,1,4,7,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,1,6,3]=>[5,3,7,1,4,6,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,3,1,6]=>[6,3,5,1,4,7,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,3,6,1]=>[7,3,5,1,4,6,2]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,6,1,3]=>[6,3,7,1,4,5,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,6,3,1]=>[7,3,6,1,4,5,2]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,6,1,3,5]=>[5,3,6,1,7,4,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,6,1,5,3]=>[5,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,6,3,1,5]=>[6,3,5,1,7,4,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,6,3,5,1]=>[7,3,5,1,6,4,2]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,6,5,1,3]=>[6,3,7,1,5,4,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,6,5,3,1]=>[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,3,1,2,5,6]=>[4,5,3,1,6,7,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,2,6,5]=>[4,5,3,1,7,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,5,2,6]=>[4,6,3,1,5,7,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,5,6,2]=>[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,6,2,5]=>[4,6,3,1,7,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,2,1,5,6]=>[5,4,3,1,6,7,2]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,2,5,1,6]=>[6,4,3,1,5,7,2]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,2,5,6,1]=>[7,4,3,1,5,6,2]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,2,6,5,1]=>[7,4,3,1,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,5,1,2,6]=>[5,6,3,1,4,7,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,5,1,6,2]=>[5,7,3,1,4,6,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,5,2,1,6]=>[6,5,3,1,4,7,2]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,5,2,6,1]=>[7,5,3,1,4,6,2]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,5,6,1,2]=>[6,7,3,1,4,5,2]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,5,6,2,1]=>[7,6,3,1,4,5,2]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,6,1,2,5]=>[5,6,3,1,7,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,6,1,5,2]=>[5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,6,2,5,1]=>[7,5,3,1,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,6,5,1,2]=>[6,7,3,1,5,4,2]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,3,6,5,2,1]=>[7,6,3,1,5,4,2]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,5,1,2,3,6]=>[4,5,6,1,3,7,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,2,6,3]=>[4,5,7,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,3,2,6]=>[4,6,5,1,3,7,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,3,6,2]=>[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,6,2,3]=>[4,6,7,1,3,5,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,1,6,3,2]=>[4,7,6,1,3,5,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,2,1,3,6]=>[5,4,6,1,3,7,2]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,2,1,6,3]=>[5,4,7,1,3,6,2]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,2,3,1,6]=>[6,4,5,1,3,7,2]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,2,3,6,1]=>[7,4,5,1,3,6,2]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,2,6,1,3]=>[6,4,7,1,3,5,2]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,2,6,3,1]=>[7,4,6,1,3,5,2]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,3,1,2,6]=>[5,6,4,1,3,7,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,5,3,1,6,2]=>[5,7,4,1,3,6,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,5,3,2,1,6]=>[6,5,4,1,3,7,2]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,5,3,2,6,1]=>[7,5,4,1,3,6,2]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,5,3,6,1,2]=>[6,7,4,1,3,5,2]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,5,3,6,2,1]=>[7,6,4,1,3,5,2]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,5,6,1,2,3]=>[5,6,7,1,3,4,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,6,1,3,2]=>[5,7,6,1,3,4,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,6,2,1,3]=>[6,5,7,1,3,4,2]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,6,2,3,1]=>[7,5,6,1,3,4,2]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,6,3,1,2]=>[6,7,5,1,3,4,2]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,5,6,3,2,1]=>[7,6,5,1,3,4,2]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,1,2,3,5]=>[4,5,6,1,7,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,2,5,3]=>[4,5,7,1,6,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,3,2,5]=>[4,6,5,1,7,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,3,5,2]=>[4,7,5,1,6,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,5,2,3]=>[4,6,7,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,2,1,3,5]=>[5,4,6,1,7,3,2]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,2,1,5,3]=>[5,4,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,2,3,1,5]=>[6,4,5,1,7,3,2]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,2,3,5,1]=>[7,4,5,1,6,3,2]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,2,5,1,3]=>[6,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,2,5,3,1]=>[7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,3,1,2,5]=>[5,6,4,1,7,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,6,3,1,5,2]=>[5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,6,3,2,1,5]=>[6,5,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,3,2,5,1]=>[7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,3,5,1,2]=>[6,7,4,1,5,3,2]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,6,3,5,2,1]=>[7,6,4,1,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,5,1,2,3]=>[5,6,7,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,5,1,3,2]=>[5,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,5,2,1,3]=>[6,5,7,1,4,3,2]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,5,2,3,1]=>[7,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,6,5,3,1,2]=>[6,7,5,1,4,3,2]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,6,4,7]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,6,7,4]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,7,4,6]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,7,6,4]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,3,7,6]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,6,3,7]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,6,7,3]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,7,3,6]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,7,6,3]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,6,3,4,7]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,6,3,7,4]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,6,4,3,7]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,6,4,7,3]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,6,7,3,4]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,6,7,4,3]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,7,3,4,6]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,7,3,6,4]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,7,4,3,6]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,7,4,6,3]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,7,6,3,4]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,7,6,4,3]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,2,4,6,7]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,2,4,7,6]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,2,6,4,7]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,2,6,7,4]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,2,7,4,6]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,2,7,6,4]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,2,6,7]=>[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,2,7,6]=>[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,6,2,7]=>[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,6,7,2]=>[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,7,2,6]=>[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,7,6,2]=>[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,6,2,4,7]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,6,2,7,4]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,6,4,2,7]=>[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,6,4,7,2]=>[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,6,7,2,4]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,6,7,4,2]=>[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,7,2,4,6]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,7,2,6,4]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,7,4,2,6]=>[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,7,4,6,2]=>[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,7,6,2,4]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,7,6,4,2]=>[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,2,3,6,7]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,2,3,7,6]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,2,6,3,7]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,2,6,7,3]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,2,7,3,6]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,2,7,6,3]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,3,2,6,7]=>[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,3,6,2,7]=>[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,3,6,7,2]=>[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,3,7,6,2]=>[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,6,2,3,7]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,6,2,7,3]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,6,3,2,7]=>[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,6,3,7,2]=>[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,6,7,2,3]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,6,7,3,2]=>[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,7,2,3,6]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,7,2,6,3]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,7,3,6,2]=>[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,7,6,2,3]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,4,7,6,3,2]=>[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,2,3,4,7]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,2,3,7,4]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,2,4,3,7]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,2,4,7,3]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,2,7,3,4]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,2,7,4,3]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,3,2,4,7]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,3,2,7,4]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,3,4,2,7]=>[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,3,4,7,2]=>[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,3,7,2,4]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,3,7,4,2]=>[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,4,2,3,7]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,4,2,7,3]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,4,3,2,7]=>[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,4,3,7,2]=>[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,4,7,2,3]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,4,7,3,2]=>[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,7,2,3,4]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,7,2,4,3]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,7,3,2,4]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,7,3,4,2]=>[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,7,4,2,3]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,6,7,4,3,2]=>[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,2,3,4,6]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,2,3,6,4]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,2,4,3,6]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,2,4,6,3]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,2,6,3,4]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,2,6,4,3]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,3,2,4,6]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,3,2,6,4]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,3,4,2,6]=>[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,3,4,6,2]=>[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,3,6,2,4]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,3,6,4,2]=>[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,4,2,3,6]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,4,2,6,3]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,4,3,6,2]=>[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,4,6,2,3]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,4,6,3,2]=>[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,6,2,3,4]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,6,2,4,3]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,6,3,2,4]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,6,3,4,2]=>[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,6,4,2,3]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,6,4,3,2]=>[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,3,4,7,6]=>[3,2,4,5,1,7,6]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,3,6,4,7]=>[3,2,4,6,1,5,7]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,3,6,7,4]=>[3,2,4,7,1,5,6]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,3,7,4,6]=>[3,2,4,6,1,7,5]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,3,7,6,4]=>[3,2,4,7,1,6,5]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,4,3,6,7]=>[3,2,5,4,1,6,7]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,4,6,3,7]=>[3,2,6,4,1,5,7]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,4,6,7,3]=>[3,2,7,4,1,5,6]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,4,7,6,3]=>[3,2,7,4,1,6,5]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,6,3,4,7]=>[3,2,5,6,1,4,7]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,6,3,7,4]=>[3,2,5,7,1,4,6]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,6,4,3,7]=>[3,2,6,5,1,4,7]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,6,4,7,3]=>[3,2,7,5,1,4,6]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,6,7,3,4]=>[3,2,6,7,1,4,5]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,6,7,4,3]=>[3,2,7,6,1,4,5]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,7,3,4,6]=>[3,2,5,6,1,7,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,7,3,6,4]=>[3,2,5,7,1,6,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,7,4,6,3]=>[3,2,7,5,1,6,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,7,6,3,4]=>[3,2,6,7,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,1,7,6,4,3]=>[3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,1,4,6,7]=>[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,1,4,7,6]=>[4,2,3,5,1,7,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,1,6,4,7]=>[4,2,3,6,1,5,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,1,6,7,4]=>[4,2,3,7,1,5,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,1,7,4,6]=>[4,2,3,6,1,7,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,1,7,6,4]=>[4,2,3,7,1,6,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,1,6,7]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,1,7,6]=>[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,6,1,7]=>[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,6,7,1]=>[7,2,3,4,1,5,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,7,1,6]=>[6,2,3,4,1,7,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,7,6,1]=>[7,2,3,4,1,6,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,1,4,7]=>[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,1,7,4]=>[5,2,3,7,1,4,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,4,1,7]=>[6,2,3,5,1,4,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,4,7,1]=>[7,2,3,5,1,4,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,7,1,4]=>[6,2,3,7,1,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,6,7,4,1]=>[7,2,3,6,1,4,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,1,4,6]=>[5,2,3,6,1,7,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,1,6,4]=>[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,4,1,6]=>[6,2,3,5,1,7,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,4,6,1]=>[7,2,3,5,1,6,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,6,1,4]=>[6,2,3,7,1,5,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,7,6,4,1]=>[7,2,3,6,1,5,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,1,3,6,7]=>[4,2,5,3,1,6,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,1,3,7,6]=>[4,2,5,3,1,7,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,1,6,3,7]=>[4,2,6,3,1,5,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,1,6,7,3]=>[4,2,7,3,1,5,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,1,7,3,6]=>[4,2,6,3,1,7,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,1,7,6,3]=>[4,2,7,3,1,6,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,1,7,6]=>[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,6,1,7]=>[6,2,4,3,1,5,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,6,7,1]=>[7,2,4,3,1,5,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,7,1,6]=>[6,2,4,3,1,7,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,7,6,1]=>[7,2,4,3,1,6,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,1,3,7]=>[5,2,6,3,1,4,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,1,7,3]=>[5,2,7,3,1,4,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,3,1,7]=>[6,2,5,3,1,4,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,3,7,1]=>[7,2,5,3,1,4,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,7,1,3]=>[6,2,7,3,1,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,6,7,3,1]=>[7,2,6,3,1,4,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,1,3,6]=>[5,2,6,3,1,7,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,1,6,3]=>[5,2,7,3,1,6,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,3,1,6]=>[6,2,5,3,1,7,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,3,6,1]=>[7,2,5,3,1,6,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,6,1,3]=>[6,2,7,3,1,5,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,7,6,3,1]=>[7,2,6,3,1,5,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,3,4,7]=>[4,2,5,6,1,3,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,3,7,4]=>[4,2,5,7,1,3,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,4,3,7]=>[4,2,6,5,1,3,7]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,4,7,3]=>[4,2,7,5,1,3,6]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,7,3,4]=>[4,2,6,7,1,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,7,4,3]=>[4,2,7,6,1,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,1,4,7]=>[5,2,4,6,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,1,7,4]=>[5,2,4,7,1,3,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,4,1,7]=>[6,2,4,5,1,3,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,4,7,1]=>[7,2,4,5,1,3,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,7,1,4]=>[6,2,4,7,1,3,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,3,7,4,1]=>[7,2,4,6,1,3,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,1,3,7]=>[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,1,7,3]=>[5,2,7,4,1,3,6]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,3,1,7]=>[6,2,5,4,1,3,7]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,3,7,1]=>[7,2,5,4,1,3,6]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,7,1,3]=>[6,2,7,4,1,3,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,7,3,1]=>[7,2,6,4,1,3,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,1,3,4]=>[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,1,4,3]=>[5,2,7,6,1,3,4]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,3,1,4]=>[6,2,5,7,1,3,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,3,4,1]=>[7,2,5,6,1,3,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,4,1,3]=>[6,2,7,5,1,3,4]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,4,3,1]=>[7,2,6,5,1,3,4]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,1,3,4,6]=>[4,2,5,6,1,7,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,1,3,6,4]=>[4,2,5,7,1,6,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,1,4,3,6]=>[4,2,6,5,1,7,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,1,4,6,3]=>[4,2,7,5,1,6,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,1,6,3,4]=>[4,2,6,7,1,5,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,1,6,4,3]=>[4,2,7,6,1,5,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,1,4,6]=>[5,2,4,6,1,7,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,1,6,4]=>[5,2,4,7,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,4,1,6]=>[6,2,4,5,1,7,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,4,6,1]=>[7,2,4,5,1,6,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,6,1,4]=>[6,2,4,7,1,5,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,6,4,1]=>[7,2,4,6,1,5,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,1,3,6]=>[5,2,6,4,1,7,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,3,1,6]=>[6,2,5,4,1,7,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,3,6,1]=>[7,2,5,4,1,6,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,6,1,3]=>[6,2,7,4,1,5,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,6,3,1]=>[7,2,6,4,1,5,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,1,3,4]=>[5,2,6,7,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,3,1,4]=>[6,2,5,7,1,4,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,3,4,1]=>[7,2,5,6,1,4,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,4,1,3]=>[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,6,4,3,1]=>[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,2,4,7,6]=>[3,4,2,5,1,7,6]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,2,6,4,7]=>[3,4,2,6,1,5,7]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,2,6,7,4]=>[3,4,2,7,1,5,6]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,2,7,4,6]=>[3,4,2,6,1,7,5]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,2,7,6,4]=>[3,4,2,7,1,6,5]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,4,2,6,7]=>[3,5,2,4,1,6,7]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,4,2,7,6]=>[3,5,2,4,1,7,6]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,4,6,2,7]=>[3,6,2,4,1,5,7]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,4,6,7,2]=>[3,7,2,4,1,5,6]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,4,7,2,6]=>[3,6,2,4,1,7,5]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,4,7,6,2]=>[3,7,2,4,1,6,5]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,6,2,4,7]=>[3,5,2,6,1,4,7]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,6,2,7,4]=>[3,5,2,7,1,4,6]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,6,4,2,7]=>[3,6,2,5,1,4,7]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,6,4,7,2]=>[3,7,2,5,1,4,6]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,6,7,2,4]=>[3,6,2,7,1,4,5]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,6,7,4,2]=>[3,7,2,6,1,4,5]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,7,2,4,6]=>[3,5,2,6,1,7,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,7,2,6,4]=>[3,5,2,7,1,6,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,7,4,2,6]=>[3,6,2,5,1,7,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,7,4,6,2]=>[3,7,2,5,1,6,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,7,6,2,4]=>[3,6,2,7,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,1,7,6,4,2]=>[3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,1,4,7,6]=>[4,3,2,5,1,7,6]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,1,6,4,7]=>[4,3,2,6,1,5,7]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,1,6,7,4]=>[4,3,2,7,1,5,6]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,1,7,4,6]=>[4,3,2,6,1,7,5]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,1,7,6,4]=>[4,3,2,7,1,6,5]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,1,7,6]=>[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,6,1,7]=>[6,3,2,4,1,5,7]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,6,7,1]=>[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,7,1,6]=>[6,3,2,4,1,7,5]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,7,6,1]=>[7,3,2,4,1,6,5]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,1,4,7]=>[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,1,7,4]=>[5,3,2,7,1,4,6]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,4,1,7]=>[6,3,2,5,1,4,7]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,4,7,1]=>[7,3,2,5,1,4,6]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,7,1,4]=>[6,3,2,7,1,4,5]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,7,4,1]=>[7,3,2,6,1,4,5]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,1,4,6]=>[5,3,2,6,1,7,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,4,1,6]=>[6,3,2,5,1,7,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,4,6,1]=>[7,3,2,5,1,6,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,6,1,4]=>[6,3,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,6,4,1]=>[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,1,2,6,7]=>[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,2,7,6]=>[4,5,2,3,1,7,6]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,6,2,7]=>[4,6,2,3,1,5,7]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,6,7,2]=>[4,7,2,3,1,5,6]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,7,2,6]=>[4,6,2,3,1,7,5]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,7,6,2]=>[4,7,2,3,1,6,5]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,2,1,6,7]=>[5,4,2,3,1,6,7]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,2,1,7,6]=>[5,4,2,3,1,7,6]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,2,6,1,7]=>[6,4,2,3,1,5,7]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,2,6,7,1]=>[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,2,7,1,6]=>[6,4,2,3,1,7,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,2,7,6,1]=>[7,4,2,3,1,6,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,6,1,2,7]=>[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,6,1,7,2]=>[5,7,2,3,1,4,6]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,6,2,1,7]=>[6,5,2,3,1,4,7]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,6,2,7,1]=>[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,6,7,1,2]=>[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,6,7,2,1]=>[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,7,1,2,6]=>[5,6,2,3,1,7,4]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,7,1,6,2]=>[5,7,2,3,1,6,4]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,7,2,1,6]=>[6,5,2,3,1,7,4]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,7,2,6,1]=>[7,5,2,3,1,6,4]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,7,6,1,2]=>[6,7,2,3,1,5,4]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,7,6,2,1]=>[7,6,2,3,1,5,4]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,1,2,4,7]=>[4,5,2,6,1,3,7]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,1,2,7,4]=>[4,5,2,7,1,3,6]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,1,4,2,7]=>[4,6,2,5,1,3,7]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,1,4,7,2]=>[4,7,2,5,1,3,6]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,1,7,2,4]=>[4,6,2,7,1,3,5]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,1,7,4,2]=>[4,7,2,6,1,3,5]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,2,1,4,7]=>[5,4,2,6,1,3,7]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,2,1,7,4]=>[5,4,2,7,1,3,6]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,2,4,1,7]=>[6,4,2,5,1,3,7]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,2,4,7,1]=>[7,4,2,5,1,3,6]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,2,7,1,4]=>[6,4,2,7,1,3,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,2,7,4,1]=>[7,4,2,6,1,3,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,4,1,2,7]=>[5,6,2,4,1,3,7]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,4,1,7,2]=>[5,7,2,4,1,3,6]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,4,2,1,7]=>[6,5,2,4,1,3,7]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,4,2,7,1]=>[7,5,2,4,1,3,6]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,4,7,1,2]=>[6,7,2,4,1,3,5]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,4,7,2,1]=>[7,6,2,4,1,3,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,7,1,2,4]=>[5,6,2,7,1,3,4]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,7,1,4,2]=>[5,7,2,6,1,3,4]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,7,2,1,4]=>[6,5,2,7,1,3,4]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,7,2,4,1]=>[7,5,2,6,1,3,4]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,7,4,1,2]=>[6,7,2,5,1,3,4]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,7,4,2,1]=>[7,6,2,5,1,3,4]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,1,2,4,6]=>[4,5,2,6,1,7,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,2,6,4]=>[4,5,2,7,1,6,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,4,2,6]=>[4,6,2,5,1,7,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,4,6,2]=>[4,7,2,5,1,6,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,6,2,4]=>[4,6,2,7,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,6,4,2]=>[4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,2,1,4,6]=>[5,4,2,6,1,7,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,2,1,6,4]=>[5,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,2,4,1,6]=>[6,4,2,5,1,7,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,2,4,6,1]=>[7,4,2,5,1,6,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,2,6,1,4]=>[6,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,2,6,4,1]=>[7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,4,1,2,6]=>[5,6,2,4,1,7,3]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,4,1,6,2]=>[5,7,2,4,1,6,3]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,4,2,1,6]=>[6,5,2,4,1,7,3]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,4,2,6,1]=>[7,5,2,4,1,6,3]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,4,6,1,2]=>[6,7,2,4,1,5,3]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,4,6,2,1]=>[7,6,2,4,1,5,3]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,6,1,2,4]=>[5,6,2,7,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,6,1,4,2]=>[5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,6,2,1,4]=>[6,5,2,7,1,4,3]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,6,2,4,1]=>[7,5,2,6,1,4,3]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,6,4,1,2]=>[6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,6,4,2,1]=>[7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,2,3,7,6]=>[3,4,5,2,1,7,6]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,2,6,3,7]=>[3,4,6,2,1,5,7]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,2,6,7,3]=>[3,4,7,2,1,5,6]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,2,7,3,6]=>[3,4,6,2,1,7,5]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,2,7,6,3]=>[3,4,7,2,1,6,5]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,3,6,2,7]=>[3,6,4,2,1,5,7]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,3,6,7,2]=>[3,7,4,2,1,5,6]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,3,7,6,2]=>[3,7,4,2,1,6,5]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,6,2,3,7]=>[3,5,6,2,1,4,7]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,6,2,7,3]=>[3,5,7,2,1,4,6]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,6,3,2,7]=>[3,6,5,2,1,4,7]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,6,3,7,2]=>[3,7,5,2,1,4,6]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,6,7,2,3]=>[3,6,7,2,1,4,5]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,6,7,3,2]=>[3,7,6,2,1,4,5]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,7,2,3,6]=>[3,5,6,2,1,7,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,7,2,6,3]=>[3,5,7,2,1,6,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,7,3,6,2]=>[3,7,5,2,1,6,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,7,6,2,3]=>[3,6,7,2,1,5,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,1,7,6,3,2]=>[3,7,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,1,3,7,6]=>[4,3,5,2,1,7,6]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,1,6,3,7]=>[4,3,6,2,1,5,7]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,1,6,7,3]=>[4,3,7,2,1,5,6]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,1,7,3,6]=>[4,3,6,2,1,7,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,1,7,6,3]=>[4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,3,1,6,7]=>[5,3,4,2,1,6,7]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,3,1,7,6]=>[5,3,4,2,1,7,6]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,3,6,1,7]=>[6,3,4,2,1,5,7]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,3,6,7,1]=>[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,3,7,1,6]=>[6,3,4,2,1,7,5]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,3,7,6,1]=>[7,3,4,2,1,6,5]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,6,1,3,7]=>[5,3,6,2,1,4,7]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,6,1,7,3]=>[5,3,7,2,1,4,6]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,6,3,1,7]=>[6,3,5,2,1,4,7]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,6,3,7,1]=>[7,3,5,2,1,4,6]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,6,7,1,3]=>[6,3,7,2,1,4,5]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,6,7,3,1]=>[7,3,6,2,1,4,5]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,7,1,3,6]=>[5,3,6,2,1,7,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,7,1,6,3]=>[5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,7,3,1,6]=>[6,3,5,2,1,7,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,7,3,6,1]=>[7,3,5,2,1,6,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,7,6,1,3]=>[6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,7,6,3,1]=>[7,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,1,2,7,6]=>[4,5,3,2,1,7,6]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,1,6,2,7]=>[4,6,3,2,1,5,7]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,1,6,7,2]=>[4,7,3,2,1,5,6]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,1,7,2,6]=>[4,6,3,2,1,7,5]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,1,7,6,2]=>[4,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,6,1,2,7]=>[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,6,1,7,2]=>[5,7,3,2,1,4,6]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,6,7,1,2]=>[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,7,1,2,6]=>[5,6,3,2,1,7,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,7,1,6,2]=>[5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,7,2,6,1]=>[7,5,3,2,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,7,6,1,2]=>[6,7,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,6,1,2,3,7]=>[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,1,2,7,3]=>[4,5,7,2,1,3,6]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,1,3,2,7]=>[4,6,5,2,1,3,7]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,1,3,7,2]=>[4,7,5,2,1,3,6]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,1,7,2,3]=>[4,6,7,2,1,3,5]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,1,7,3,2]=>[4,7,6,2,1,3,5]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,2,1,3,7]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,2,1,7,3]=>[5,4,7,2,1,3,6]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,2,3,1,7]=>[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,2,3,7,1]=>[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,2,7,1,3]=>[6,4,7,2,1,3,5]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,2,7,3,1]=>[7,4,6,2,1,3,5]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,3,1,2,7]=>[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,6,3,1,7,2]=>[5,7,4,2,1,3,6]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,7,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,6,3,7,1,2]=>[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,6,7,1,2,3]=>[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,7,1,3,2]=>[5,7,6,2,1,3,4]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,7,2,1,3]=>[6,5,7,2,1,3,4]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,7,2,3,1]=>[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,6,7,3,1,2]=>[6,7,5,2,1,3,4]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,7,1,2,3,6]=>[4,5,6,2,1,7,3]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,1,2,6,3]=>[4,5,7,2,1,6,3]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,1,3,2,6]=>[4,6,5,2,1,7,3]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,1,3,6,2]=>[4,7,5,2,1,6,3]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,1,6,2,3]=>[4,6,7,2,1,5,3]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,1,6,3,2]=>[4,7,6,2,1,5,3]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,2,1,3,6]=>[5,4,6,2,1,7,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,3,1,6]=>[6,4,5,2,1,7,3]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,3,6,1]=>[7,4,5,2,1,6,3]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,6,1,3]=>[6,4,7,2,1,5,3]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,6,3,1]=>[7,4,6,2,1,5,3]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,3,1,2,6]=>[5,6,4,2,1,7,3]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,7,3,1,6,2]=>[5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,7,3,2,1,6]=>[6,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,7,3,2,6,1]=>[7,5,4,2,1,6,3]=>[7,5,4,2,1,6,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,7,3,6,1,2]=>[6,7,4,2,1,5,3]=>[6,7,4,2,1,5,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,7,3,6,2,1]=>[7,6,4,2,1,5,3]=>[7,6,4,2,1,5,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,7,6,1,2,3]=>[5,6,7,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,6,1,3,2]=>[5,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,6,2,1,3]=>[6,5,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,6,2,3,1]=>[7,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,6,3,1,2]=>[6,7,5,2,1,4,3]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,1,2,3,4,7]=>[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,2,3,7,4]=>[3,4,5,7,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,2,4,3,7]=>[3,4,6,5,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,2,4,7,3]=>[3,4,7,5,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,2,7,3,4]=>[3,4,6,7,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,2,7,4,3]=>[3,4,7,6,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,3,2,4,7]=>[3,5,4,6,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,3,2,7,4]=>[3,5,4,7,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,3,4,2,7]=>[3,6,4,5,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,3,4,7,2]=>[3,7,4,5,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,3,7,2,4]=>[3,6,4,7,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,3,7,4,2]=>[3,7,4,6,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,4,2,3,7]=>[3,5,6,4,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,4,2,7,3]=>[3,5,7,4,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,4,3,2,7]=>[3,6,5,4,1,2,7]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,4,3,7,2]=>[3,7,5,4,1,2,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,4,7,2,3]=>[3,6,7,4,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,4,7,3,2]=>[3,7,6,4,1,2,5]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,7,2,3,4]=>[3,5,6,7,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,7,2,4,3]=>[3,5,7,6,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,7,3,2,4]=>[3,6,5,7,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,7,3,4,2]=>[3,7,5,6,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,7,4,2,3]=>[3,6,7,5,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,1,7,4,3,2]=>[3,7,6,5,1,2,4]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,2,1,3,4,7]=>[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,1,3,7,4]=>[4,3,5,7,1,2,6]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,1,4,3,7]=>[4,3,6,5,1,2,7]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,1,4,7,3]=>[4,3,7,5,1,2,6]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,1,7,3,4]=>[4,3,6,7,1,2,5]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,1,7,4,3]=>[4,3,7,6,1,2,5]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,3,1,4,7]=>[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,3,1,7,4]=>[5,3,4,7,1,2,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,3,4,1,7]=>[6,3,4,5,1,2,7]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,3,4,7,1]=>[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,3,7,1,4]=>[6,3,4,7,1,2,5]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,3,7,4,1]=>[7,3,4,6,1,2,5]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,4,1,3,7]=>[5,3,6,4,1,2,7]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,4,1,7,3]=>[5,3,7,4,1,2,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,4,3,1,7]=>[6,3,5,4,1,2,7]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,4,3,7,1]=>[7,3,5,4,1,2,6]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,4,7,1,3]=>[6,3,7,4,1,2,5]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,4,7,3,1]=>[7,3,6,4,1,2,5]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,7,1,3,4]=>[5,3,6,7,1,2,4]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,7,1,4,3]=>[5,3,7,6,1,2,4]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,7,3,1,4]=>[6,3,5,7,1,2,4]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,7,3,4,1]=>[7,3,5,6,1,2,4]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,7,4,1,3]=>[6,3,7,5,1,2,4]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,7,4,3,1]=>[7,3,6,5,1,2,4]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,3,1,2,4,7]=>[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,1,2,7,4]=>[4,5,3,7,1,2,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,1,4,2,7]=>[4,6,3,5,1,2,7]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,1,4,7,2]=>[4,7,3,5,1,2,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,1,7,2,4]=>[4,6,3,7,1,2,5]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,1,7,4,2]=>[4,7,3,6,1,2,5]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,2,1,4,7]=>[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,2,1,7,4]=>[5,4,3,7,1,2,6]=>[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,2,4,1,7]=>[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,2,4,7,1]=>[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,2,7,1,4]=>[6,4,3,7,1,2,5]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,2,7,4,1]=>[7,4,3,6,1,2,5]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,4,1,7,2]=>[5,7,3,4,1,2,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,4,2,1,7]=>[6,5,3,4,1,2,7]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,4,2,7,1]=>[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,4,7,1,2]=>[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,4,7,2,1]=>[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,7,1,2,4]=>[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,7,1,4,2]=>[5,7,3,6,1,2,4]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,7,2,1,4]=>[6,5,3,7,1,2,4]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,7,2,4,1]=>[7,5,3,6,1,2,4]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,7,4,1,2]=>[6,7,3,5,1,2,4]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,7,4,2,1]=>[7,6,3,5,1,2,4]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,4,1,2,3,7]=>[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,1,2,7,3]=>[4,5,7,3,1,2,6]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,1,3,2,7]=>[4,6,5,3,1,2,7]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,1,3,7,2]=>[4,7,5,3,1,2,6]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,1,7,2,3]=>[4,6,7,3,1,2,5]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,1,7,3,2]=>[4,7,6,3,1,2,5]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,2,1,3,7]=>[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,2,1,7,3]=>[5,4,7,3,1,2,6]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,2,3,1,7]=>[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,2,3,7,1]=>[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,2,7,1,3]=>[6,4,7,3,1,2,5]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,2,7,3,1]=>[7,4,6,3,1,2,5]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,3,1,2,7]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,3,1,7,2]=>[5,7,4,3,1,2,6]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,4,3,7,1,2]=>[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,4,7,1,2,3]=>[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,7,1,3,2]=>[5,7,6,3,1,2,4]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,4,7,2,1,3]=>[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,7,2,3,1]=>[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,7,3,1,2]=>[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,7,1,2,3,4]=>[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,1,2,4,3]=>[4,5,7,6,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,1,3,2,4]=>[4,6,5,7,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,1,3,4,2]=>[4,7,5,6,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,1,4,2,3]=>[4,6,7,5,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,1,4,3,2]=>[4,7,6,5,1,2,3]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,2,1,3,4]=>[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,2,1,4,3]=>[5,4,7,6,1,2,3]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,2,3,1,4]=>[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,2,3,4,1]=>[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,2,4,1,3]=>[6,4,7,5,1,2,3]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,2,4,3,1]=>[7,4,6,5,1,2,3]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,3,1,2,4]=>[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,7,3,1,4,2]=>[5,7,4,6,1,2,3]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,7,3,2,1,4]=>[6,5,4,7,1,2,3]=>[6,5,4,7,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,7,3,2,4,1]=>[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,7,3,4,1,2]=>[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,7,3,4,2,1]=>[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,4,1,3,2]=>[5,7,6,4,1,2,3]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,4,2,1,3]=>[6,5,7,4,1,2,3]=>[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,7,4,2,3,1]=>[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,7,4,3,1,2]=>[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,1,2,3,4,6]=>[3,4,5,6,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,2,3,6,4]=>[3,4,5,7,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,2,4,3,6]=>[3,4,6,5,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,2,4,6,3]=>[3,4,7,5,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,2,6,3,4]=>[3,4,6,7,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,2,6,4,3]=>[3,4,7,6,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,3,2,4,6]=>[3,5,4,6,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,3,2,6,4]=>[3,5,4,7,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,3,4,2,6]=>[3,6,4,5,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,3,4,6,2]=>[3,7,4,5,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,3,6,2,4]=>[3,6,4,7,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,3,6,4,2]=>[3,7,4,6,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,4,2,3,6]=>[3,5,6,4,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,4,2,6,3]=>[3,5,7,4,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,4,3,6,2]=>[3,7,5,4,1,6,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,4,6,2,3]=>[3,6,7,4,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,4,6,3,2]=>[3,7,6,4,1,5,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,6,2,3,4]=>[3,5,6,7,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,6,2,4,3]=>[3,5,7,6,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,6,3,2,4]=>[3,6,5,7,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,6,3,4,2]=>[3,7,5,6,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,6,4,2,3]=>[3,6,7,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,6,4,3,2]=>[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,2,1,3,4,6]=>[4,3,5,6,1,7,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,1,3,6,4]=>[4,3,5,7,1,6,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,1,4,3,6]=>[4,3,6,5,1,7,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,1,4,6,3]=>[4,3,7,5,1,6,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,1,6,3,4]=>[4,3,6,7,1,5,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,1,6,4,3]=>[4,3,7,6,1,5,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,3,1,4,6]=>[5,3,4,6,1,7,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,3,1,6,4]=>[5,3,4,7,1,6,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,3,4,1,6]=>[6,3,4,5,1,7,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,3,4,6,1]=>[7,3,4,5,1,6,2]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,3,6,1,4]=>[6,3,4,7,1,5,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,3,6,4,1]=>[7,3,4,6,1,5,2]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,4,1,3,6]=>[5,3,6,4,1,7,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,4,1,6,3]=>[5,3,7,4,1,6,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,4,3,1,6]=>[6,3,5,4,1,7,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,4,3,6,1]=>[7,3,5,4,1,6,2]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,4,6,1,3]=>[6,3,7,4,1,5,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,4,6,3,1]=>[7,3,6,4,1,5,2]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,6,1,3,4]=>[5,3,6,7,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,6,1,4,3]=>[5,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,6,3,1,4]=>[6,3,5,7,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,6,3,4,1]=>[7,3,5,6,1,4,2]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,6,4,1,3]=>[6,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,6,4,3,1]=>[7,3,6,5,1,4,2]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,3,1,2,4,6]=>[4,5,3,6,1,7,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,1,2,6,4]=>[4,5,3,7,1,6,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,1,4,2,6]=>[4,6,3,5,1,7,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,1,4,6,2]=>[4,7,3,5,1,6,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,1,6,2,4]=>[4,6,3,7,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,1,6,4,2]=>[4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,2,1,4,6]=>[5,4,3,6,1,7,2]=>[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,2,1,6,4]=>[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,2,4,1,6]=>[6,4,3,5,1,7,2]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,2,4,6,1]=>[7,4,3,5,1,6,2]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,2,6,1,4]=>[6,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,2,6,4,1]=>[7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,4,1,2,6]=>[5,6,3,4,1,7,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,1,6,2]=>[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,2,1,6]=>[6,5,3,4,1,7,2]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,4,2,6,1]=>[7,5,3,4,1,6,2]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,4,6,1,2]=>[6,7,3,4,1,5,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,6,2,1]=>[7,6,3,4,1,5,2]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,6,1,2,4]=>[5,6,3,7,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,6,2,1,4]=>[6,5,3,7,1,4,2]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,6,2,4,1]=>[7,5,3,6,1,4,2]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,6,4,1,2]=>[6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,6,4,2,1]=>[7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,4,1,2,3,6]=>[4,5,6,3,1,7,2]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,1,2,6,3]=>[4,5,7,3,1,6,2]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,1,3,2,6]=>[4,6,5,3,1,7,2]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,1,3,6,2]=>[4,7,5,3,1,6,2]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,1,6,2,3]=>[4,6,7,3,1,5,2]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,1,6,3,2]=>[4,7,6,3,1,5,2]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,2,1,3,6]=>[5,4,6,3,1,7,2]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,2,1,6,3]=>[5,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,2,3,1,6]=>[6,4,5,3,1,7,2]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,2,3,6,1]=>[7,4,5,3,1,6,2]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,2,6,1,3]=>[6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,2,6,3,1]=>[7,4,6,3,1,5,2]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,3,1,2,6]=>[5,6,4,3,1,7,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,4,3,2,6,1]=>[7,5,4,3,1,6,2]=>[7,5,4,3,1,6,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,4,3,6,1,2]=>[6,7,4,3,1,5,2]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,3,6,2,1]=>[7,6,4,3,1,5,2]=>[7,6,4,3,1,5,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,4,6,1,2,3]=>[5,6,7,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,6,1,3,2]=>[5,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,4,6,2,1,3]=>[6,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,6,2,3,1]=>[7,5,6,3,1,4,2]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,6,3,1,2]=>[6,7,5,3,1,4,2]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,6,3,2,1]=>[7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,6,1,2,3,4]=>[4,5,6,7,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,6,1,2,4,3]=>[4,5,7,6,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,6,1,3,2,4]=>[4,6,5,7,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,6,1,3,4,2]=>[4,7,5,6,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,6,1,4,2,3]=>[4,6,7,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,6,1,4,3,2]=>[4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,6,2,1,3,4]=>[5,4,6,7,1,3,2]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,6,2,1,4,3]=>[5,4,7,6,1,3,2]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,6,2,3,1,4]=>[6,4,5,7,1,3,2]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,6,2,3,4,1]=>[7,4,5,6,1,3,2]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,6,2,4,1,3]=>[6,4,7,5,1,3,2]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,6,2,4,3,1]=>[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,6,3,1,2,4]=>[5,6,4,7,1,3,2]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,6,3,1,4,2]=>[5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,6,3,2,1,4]=>[6,5,4,7,1,3,2]=>[6,5,4,7,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,6,3,2,4,1]=>[7,5,4,6,1,3,2]=>[7,5,4,6,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,6,3,4,1,2]=>[6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,6,3,4,2,1]=>[7,6,4,5,1,3,2]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,6,4,1,2,3]=>[5,6,7,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,4,2,1,3]=>[6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,6,4,2,3,1]=>[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,6,4,3,1,2]=>[6,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,3,4,7,5]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,3,5,4,7]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,3,5,7,4]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,3,7,4,5]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,3,7,5,4]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,4,3,5,7]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,4,3,7,5]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,4,5,3,7]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,4,5,7,3]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,4,7,3,5]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,4,7,5,3]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,5,3,4,7]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,5,3,7,4]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,5,4,3,7]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,5,4,7,3]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,5,7,3,4]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,5,7,4,3]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,7,3,4,5]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,7,3,5,4]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,7,4,3,5]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,7,4,5,3]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,7,5,3,4]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,7,5,4,3]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,2,4,7,5]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,2,5,7,4]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,2,7,4,5]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,2,7,5,4]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,2,5,7]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,2,7,5]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,5,2,7]=>[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,5,7,2]=>[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,7,2,5]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,7,5,2]=>[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,5,2,4,7]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,5,2,7,4]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,5,4,2,7]=>[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,5,4,7,2]=>[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,5,7,2,4]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,5,7,4,2]=>[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,7,2,4,5]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,7,2,5,4]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,7,4,2,5]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,7,4,5,2]=>[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,7,5,2,4]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,7,5,4,2]=>[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,2,3,7,5]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,2,5,3,7]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,2,5,7,3]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,2,7,3,5]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,2,7,5,3]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,3,2,5,7]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,3,2,7,5]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,3,5,2,7]=>[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,3,5,7,2]=>[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,3,7,2,5]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,3,7,5,2]=>[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,5,2,3,7]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,5,2,7,3]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,5,3,2,7]=>[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,5,3,7,2]=>[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,5,7,2,3]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,5,7,3,2]=>[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,7,2,3,5]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,7,2,5,3]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,7,3,2,5]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,7,3,5,2]=>[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,7,5,2,3]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,4,7,5,3,2]=>[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,2,3,7,4]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,2,4,3,7]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,2,4,7,3]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,2,7,3,4]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,2,7,4,3]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,3,2,7,4]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,3,4,2,7]=>[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,3,4,7,2]=>[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,3,7,2,4]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,3,7,4,2]=>[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,4,2,7,3]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,4,3,7,2]=>[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,4,7,2,3]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,4,7,3,2]=>[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,7,2,3,4]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,7,2,4,3]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,7,3,2,4]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,7,3,4,2]=>[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,7,4,2,3]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,5,7,4,3,2]=>[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,2,3,4,5]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,2,3,5,4]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,2,4,3,5]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,2,4,5,3]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,2,5,3,4]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,2,5,4,3]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,3,2,4,5]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,3,2,5,4]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,3,4,2,5]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,3,4,5,2]=>[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,3,5,2,4]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,3,5,4,2]=>[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,4,2,3,5]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,4,2,5,3]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,4,3,2,5]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,4,3,5,2]=>[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,4,5,2,3]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,4,5,3,2]=>[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,5,2,3,4]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,5,2,4,3]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,5,3,2,4]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,5,3,4,2]=>[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,5,4,2,3]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,7,5,4,3,2]=>[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,3,4,7,5]=>[3,2,4,5,7,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,3,5,4,7]=>[3,2,4,6,5,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,3,5,7,4]=>[3,2,4,7,5,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,3,7,4,5]=>[3,2,4,6,7,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,3,7,5,4]=>[3,2,4,7,6,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,4,3,5,7]=>[3,2,5,4,6,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,4,3,7,5]=>[3,2,5,4,7,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,4,5,3,7]=>[3,2,6,4,5,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,4,5,7,3]=>[3,2,7,4,5,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,4,7,3,5]=>[3,2,6,4,7,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,4,7,5,3]=>[3,2,7,4,6,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,5,3,4,7]=>[3,2,5,6,4,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,5,3,7,4]=>[3,2,5,7,4,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,5,4,7,3]=>[3,2,7,5,4,1,6]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,5,7,3,4]=>[3,2,6,7,4,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,5,7,4,3]=>[3,2,7,6,4,1,5]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,7,3,4,5]=>[3,2,5,6,7,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,7,3,5,4]=>[3,2,5,7,6,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,7,4,3,5]=>[3,2,6,5,7,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,7,4,5,3]=>[3,2,7,5,6,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,7,5,3,4]=>[3,2,6,7,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,1,7,5,4,3]=>[3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,1,4,5,7]=>[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,1,4,7,5]=>[4,2,3,5,7,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,1,5,4,7]=>[4,2,3,6,5,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,1,5,7,4]=>[4,2,3,7,5,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,1,7,4,5]=>[4,2,3,6,7,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,1,7,5,4]=>[4,2,3,7,6,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,1,5,7]=>[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,1,7,5]=>[5,2,3,4,7,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,5,1,7]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,5,7,1]=>[7,2,3,4,5,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,7,1,5]=>[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,4,7,5,1]=>[7,2,3,4,6,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,1,4,7]=>[5,2,3,6,4,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,1,7,4]=>[5,2,3,7,4,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,4,7,1]=>[7,2,3,5,4,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,7,1,4]=>[6,2,3,7,4,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,7,4,1]=>[7,2,3,6,4,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,1,4,5]=>[5,2,3,6,7,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,1,5,4]=>[5,2,3,7,6,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,4,1,5]=>[6,2,3,5,7,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,4,5,1]=>[7,2,3,5,6,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,5,1,4]=>[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,7,5,4,1]=>[7,2,3,6,5,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,1,3,5,7]=>[4,2,5,3,6,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,1,3,7,5]=>[4,2,5,3,7,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,1,5,3,7]=>[4,2,6,3,5,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,1,5,7,3]=>[4,2,7,3,5,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,1,7,3,5]=>[4,2,6,3,7,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,1,7,5,3]=>[4,2,7,3,6,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,1,5,7]=>[5,2,4,3,6,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,1,7,5]=>[5,2,4,3,7,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,5,1,7]=>[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,5,7,1]=>[7,2,4,3,5,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,7,1,5]=>[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,3,7,5,1]=>[7,2,4,3,6,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,1,3,7]=>[5,2,6,3,4,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,1,7,3]=>[5,2,7,3,4,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,3,1,7]=>[6,2,5,3,4,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,3,7,1]=>[7,2,5,3,4,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,7,1,3]=>[6,2,7,3,4,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,5,7,3,1]=>[7,2,6,3,4,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,1,3,5]=>[5,2,6,3,7,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,1,5,3]=>[5,2,7,3,6,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,3,1,5]=>[6,2,5,3,7,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,3,5,1]=>[7,2,5,3,6,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,5,1,3]=>[6,2,7,3,5,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,7,5,3,1]=>[7,2,6,3,5,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,1,3,4,7]=>[4,2,5,6,3,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,1,3,7,4]=>[4,2,5,7,3,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,1,4,7,3]=>[4,2,7,5,3,1,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,1,7,3,4]=>[4,2,6,7,3,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,1,7,4,3]=>[4,2,7,6,3,1,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,1,4,7]=>[5,2,4,6,3,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,1,7,4]=>[5,2,4,7,3,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,4,1,7]=>[6,2,4,5,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,4,7,1]=>[7,2,4,5,3,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,7,1,4]=>[6,2,4,7,3,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,3,7,4,1]=>[7,2,4,6,3,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,1,3,7]=>[5,2,6,4,3,1,7]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,1,7,3]=>[5,2,7,4,3,1,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,3,1,7]=>[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,3,7,1]=>[7,2,5,4,3,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,7,1,3]=>[6,2,7,4,3,1,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,7,3,1]=>[7,2,6,4,3,1,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,1,3,4]=>[5,2,6,7,3,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,1,4,3]=>[5,2,7,6,3,1,4]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,3,1,4]=>[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,3,4,1]=>[7,2,5,6,3,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,4,1,3]=>[6,2,7,5,3,1,4]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,7,4,3,1]=>[7,2,6,5,3,1,4]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,1,3,4,5]=>[4,2,5,6,7,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,1,3,5,4]=>[4,2,5,7,6,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,1,4,3,5]=>[4,2,6,5,7,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,1,4,5,3]=>[4,2,7,5,6,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,1,5,3,4]=>[4,2,6,7,5,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,1,5,4,3]=>[4,2,7,6,5,1,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,1,4,5]=>[5,2,4,6,7,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,1,5,4]=>[5,2,4,7,6,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,4,1,5]=>[6,2,4,5,7,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,4,5,1]=>[7,2,4,5,6,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,5,1,4]=>[6,2,4,7,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,3,5,4,1]=>[7,2,4,6,5,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,1,3,5]=>[5,2,6,4,7,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,1,5,3]=>[5,2,7,4,6,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,3,1,5]=>[6,2,5,4,7,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,3,5,1]=>[7,2,5,4,6,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,5,1,3]=>[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,4,5,3,1]=>[7,2,6,4,5,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,1,3,4]=>[5,2,6,7,4,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,1,4,3]=>[5,2,7,6,4,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,3,1,4]=>[6,2,5,7,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,3,4,1]=>[7,2,5,6,4,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,7,5,4,3,1]=>[7,2,6,5,4,1,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,2,4,7,5]=>[3,4,2,5,7,1,6]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,2,5,4,7]=>[3,4,2,6,5,1,7]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,2,5,7,4]=>[3,4,2,7,5,1,6]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,2,7,4,5]=>[3,4,2,6,7,1,5]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,2,7,5,4]=>[3,4,2,7,6,1,5]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,4,2,5,7]=>[3,5,2,4,6,1,7]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,4,2,7,5]=>[3,5,2,4,7,1,6]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,4,5,2,7]=>[3,6,2,4,5,1,7]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,4,5,7,2]=>[3,7,2,4,5,1,6]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,4,7,2,5]=>[3,6,2,4,7,1,5]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,4,7,5,2]=>[3,7,2,4,6,1,5]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,5,2,4,7]=>[3,5,2,6,4,1,7]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,5,2,7,4]=>[3,5,2,7,4,1,6]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,5,4,2,7]=>[3,6,2,5,4,1,7]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,5,4,7,2]=>[3,7,2,5,4,1,6]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,5,7,2,4]=>[3,6,2,7,4,1,5]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,5,7,4,2]=>[3,7,2,6,4,1,5]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,7,2,4,5]=>[3,5,2,6,7,1,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,7,2,5,4]=>[3,5,2,7,6,1,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,7,4,2,5]=>[3,6,2,5,7,1,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,7,4,5,2]=>[3,7,2,5,6,1,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,7,5,2,4]=>[3,6,2,7,5,1,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,1,7,5,4,2]=>[3,7,2,6,5,1,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,1,4,7,5]=>[4,3,2,5,7,1,6]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,1,5,7,4]=>[4,3,2,7,5,1,6]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,1,7,4,5]=>[4,3,2,6,7,1,5]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,1,7,5,4]=>[4,3,2,7,6,1,5]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,1,5,7]=>[5,3,2,4,6,1,7]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,1,7,5]=>[5,3,2,4,7,1,6]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,5,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,5,7,1]=>[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,7,1,5]=>[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,4,7,5,1]=>[7,3,2,4,6,1,5]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,1,4,7]=>[5,3,2,6,4,1,7]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,1,7,4]=>[5,3,2,7,4,1,6]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,4,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,4,7,1]=>[7,3,2,5,4,1,6]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,7,1,4]=>[6,3,2,7,4,1,5]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,7,4,1]=>[7,3,2,6,4,1,5]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,1,4,5]=>[5,3,2,6,7,1,4]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,1,5,4]=>[5,3,2,7,6,1,4]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,4,1,5]=>[6,3,2,5,7,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,4,5,1]=>[7,3,2,5,6,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,7,5,4,1]=>[7,3,2,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,1,2,5,7]=>[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,1,2,7,5]=>[4,5,2,3,7,1,6]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,1,5,2,7]=>[4,6,2,3,5,1,7]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,1,5,7,2]=>[4,7,2,3,5,1,6]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,1,7,2,5]=>[4,6,2,3,7,1,5]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,1,7,5,2]=>[4,7,2,3,6,1,5]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,2,1,5,7]=>[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,2,1,7,5]=>[5,4,2,3,7,1,6]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,2,5,1,7]=>[6,4,2,3,5,1,7]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,2,5,7,1]=>[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,2,7,1,5]=>[6,4,2,3,7,1,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,2,7,5,1]=>[7,4,2,3,6,1,5]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,5,1,2,7]=>[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,5,1,7,2]=>[5,7,2,3,4,1,6]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,5,2,1,7]=>[6,5,2,3,4,1,7]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,5,2,7,1]=>[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,5,7,1,2]=>[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,5,7,2,1]=>[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,7,1,2,5]=>[5,6,2,3,7,1,4]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,7,1,5,2]=>[5,7,2,3,6,1,4]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,7,2,1,5]=>[6,5,2,3,7,1,4]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,7,2,5,1]=>[7,5,2,3,6,1,4]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,7,5,1,2]=>[6,7,2,3,5,1,4]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,4,7,5,2,1]=>[7,6,2,3,5,1,4]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,1,2,4,7]=>[4,5,2,6,3,1,7]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,1,2,7,4]=>[4,5,2,7,3,1,6]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,1,4,2,7]=>[4,6,2,5,3,1,7]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,1,4,7,2]=>[4,7,2,5,3,1,6]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,1,7,2,4]=>[4,6,2,7,3,1,5]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,1,7,4,2]=>[4,7,2,6,3,1,5]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,2,1,4,7]=>[5,4,2,6,3,1,7]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,2,1,7,4]=>[5,4,2,7,3,1,6]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,2,4,1,7]=>[6,4,2,5,3,1,7]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,2,4,7,1]=>[7,4,2,5,3,1,6]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,2,7,1,4]=>[6,4,2,7,3,1,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,2,7,4,1]=>[7,4,2,6,3,1,5]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,4,1,2,7]=>[5,6,2,4,3,1,7]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,4,1,7,2]=>[5,7,2,4,3,1,6]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,4,2,1,7]=>[6,5,2,4,3,1,7]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,4,2,7,1]=>[7,5,2,4,3,1,6]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,4,7,1,2]=>[6,7,2,4,3,1,5]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,4,7,2,1]=>[7,6,2,4,3,1,5]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,7,1,2,4]=>[5,6,2,7,3,1,4]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,7,1,4,2]=>[5,7,2,6,3,1,4]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,7,2,1,4]=>[6,5,2,7,3,1,4]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,7,2,4,1]=>[7,5,2,6,3,1,4]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,7,4,1,2]=>[6,7,2,5,3,1,4]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,7,4,2,1]=>[7,6,2,5,3,1,4]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,1,2,4,5]=>[4,5,2,6,7,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,1,2,5,4]=>[4,5,2,7,6,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,1,4,2,5]=>[4,6,2,5,7,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,1,4,5,2]=>[4,7,2,5,6,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,1,5,2,4]=>[4,6,2,7,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,1,5,4,2]=>[4,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,2,1,4,5]=>[5,4,2,6,7,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,1,5,4]=>[5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,4,1,5]=>[6,4,2,5,7,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,4,5,1]=>[7,4,2,5,6,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,5,1,4]=>[6,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,5,4,1]=>[7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,4,1,2,5]=>[5,6,2,4,7,1,3]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,4,1,5,2]=>[5,7,2,4,6,1,3]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,4,2,1,5]=>[6,5,2,4,7,1,3]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,4,2,5,1]=>[7,5,2,4,6,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,4,5,1,2]=>[6,7,2,4,5,1,3]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,4,5,2,1]=>[7,6,2,4,5,1,3]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,5,1,2,4]=>[5,6,2,7,4,1,3]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,5,1,4,2]=>[5,7,2,6,4,1,3]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,5,2,1,4]=>[6,5,2,7,4,1,3]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,5,2,4,1]=>[7,5,2,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,5,4,1,2]=>[6,7,2,5,4,1,3]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,5,4,2,1]=>[7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,2,3,7,5]=>[3,4,5,2,7,1,6]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,2,5,3,7]=>[3,4,6,2,5,1,7]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,2,5,7,3]=>[3,4,7,2,5,1,6]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,2,7,3,5]=>[3,4,6,2,7,1,5]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,2,7,5,3]=>[3,4,7,2,6,1,5]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,3,2,7,5]=>[3,5,4,2,7,1,6]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,3,5,2,7]=>[3,6,4,2,5,1,7]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,3,5,7,2]=>[3,7,4,2,5,1,6]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,3,7,2,5]=>[3,6,4,2,7,1,5]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,3,7,5,2]=>[3,7,4,2,6,1,5]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,5,2,3,7]=>[3,5,6,2,4,1,7]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,5,2,7,3]=>[3,5,7,2,4,1,6]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,5,3,2,7]=>[3,6,5,2,4,1,7]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,5,3,7,2]=>[3,7,5,2,4,1,6]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,5,7,2,3]=>[3,6,7,2,4,1,5]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,5,7,3,2]=>[3,7,6,2,4,1,5]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,7,2,3,5]=>[3,5,6,2,7,1,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,7,2,5,3]=>[3,5,7,2,6,1,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,7,3,2,5]=>[3,6,5,2,7,1,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,7,3,5,2]=>[3,7,5,2,6,1,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,7,5,2,3]=>[3,6,7,2,5,1,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,1,7,5,3,2]=>[3,7,6,2,5,1,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,1,3,7,5]=>[4,3,5,2,7,1,6]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,1,5,3,7]=>[4,3,6,2,5,1,7]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,1,5,7,3]=>[4,3,7,2,5,1,6]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,1,7,3,5]=>[4,3,6,2,7,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,1,7,5,3]=>[4,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,3,1,5,7]=>[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,3,1,7,5]=>[5,3,4,2,7,1,6]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,3,5,1,7]=>[6,3,4,2,5,1,7]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,3,5,7,1]=>[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,3,7,1,5]=>[6,3,4,2,7,1,5]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,3,7,5,1]=>[7,3,4,2,6,1,5]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,5,1,3,7]=>[5,3,6,2,4,1,7]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,5,1,7,3]=>[5,3,7,2,4,1,6]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,5,3,1,7]=>[6,3,5,2,4,1,7]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,5,3,7,1]=>[7,3,5,2,4,1,6]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,5,7,1,3]=>[6,3,7,2,4,1,5]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,5,7,3,1]=>[7,3,6,2,4,1,5]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,1,3,5]=>[5,3,6,2,7,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,1,5,3]=>[5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,3,1,5]=>[6,3,5,2,7,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,3,5,1]=>[7,3,5,2,6,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,5,1,3]=>[6,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,5,3,1]=>[7,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,1,2,7,5]=>[4,5,3,2,7,1,6]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,1,5,2,7]=>[4,6,3,2,5,1,7]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,1,5,7,2]=>[4,7,3,2,5,1,6]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,1,7,2,5]=>[4,6,3,2,7,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,1,7,5,2]=>[4,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,1,7,5]=>[5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,5,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,5,7,1]=>[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,7,5,1]=>[7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,5,1,2,7]=>[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,5,1,7,2]=>[5,7,3,2,4,1,6]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,5,2,1,7]=>[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,5,2,7,1]=>[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,5,7,1,2]=>[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,5,7,2,1]=>[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,7,1,2,5]=>[5,6,3,2,7,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,7,1,5,2]=>[5,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,7,2,1,5]=>[6,5,3,2,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,7,2,5,1]=>[7,5,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,7,5,1,2]=>[6,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,3,7,5,2,1]=>[7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,5,1,2,3,7]=>[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,1,2,7,3]=>[4,5,7,2,3,1,6]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,1,3,2,7]=>[4,6,5,2,3,1,7]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,1,3,7,2]=>[4,7,5,2,3,1,6]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,1,7,2,3]=>[4,6,7,2,3,1,5]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,1,7,3,2]=>[4,7,6,2,3,1,5]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,2,1,3,7]=>[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,2,1,7,3]=>[5,4,7,2,3,1,6]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,2,3,7,1]=>[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,2,7,1,3]=>[6,4,7,2,3,1,5]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,2,7,3,1]=>[7,4,6,2,3,1,5]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,3,1,2,7]=>[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,5,3,1,7,2]=>[5,7,4,2,3,1,6]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,5,3,2,1,7]=>[6,5,4,2,3,1,7]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,5,3,2,7,1]=>[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,5,3,7,1,2]=>[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,5,3,7,2,1]=>[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,5,7,1,2,3]=>[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,7,1,3,2]=>[5,7,6,2,3,1,4]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,5,7,2,1,3]=>[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,7,2,3,1]=>[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,5,7,3,1,2]=>[6,7,5,2,3,1,4]=>[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,5,7,3,2,1]=>[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,7,1,2,3,5]=>[4,5,6,2,7,1,3]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,1,2,5,3]=>[4,5,7,2,6,1,3]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,1,3,2,5]=>[4,6,5,2,7,1,3]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,1,3,5,2]=>[4,7,5,2,6,1,3]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,1,5,2,3]=>[4,6,7,2,5,1,3]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,1,5,3,2]=>[4,7,6,2,5,1,3]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,2,1,3,5]=>[5,4,6,2,7,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,2,1,5,3]=>[5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,2,3,1,5]=>[6,4,5,2,7,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,2,3,5,1]=>[7,4,5,2,6,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,2,5,3,1]=>[7,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,3,1,2,5]=>[5,6,4,2,7,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,7,3,1,5,2]=>[5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,7,3,2,1,5]=>[6,5,4,2,7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,7,3,2,5,1]=>[7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,7,3,5,1,2]=>[6,7,4,2,5,1,3]=>[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,7,3,5,2,1]=>[7,6,4,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,7,5,1,2,3]=>[5,6,7,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,5,1,3,2]=>[5,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,7,5,2,1,3]=>[6,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,5,2,3,1]=>[7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,7,5,3,1,2]=>[6,7,5,2,4,1,3]=>[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,7,5,3,2,1]=>[7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,2,3,7,4]=>[3,4,5,7,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,2,4,3,7]=>[3,4,6,5,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,2,4,7,3]=>[3,4,7,5,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,2,7,3,4]=>[3,4,6,7,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,2,7,4,3]=>[3,4,7,6,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,3,2,4,7]=>[3,5,4,6,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,3,2,7,4]=>[3,5,4,7,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,3,4,2,7]=>[3,6,4,5,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,3,4,7,2]=>[3,7,4,5,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,3,7,2,4]=>[3,6,4,7,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,3,7,4,2]=>[3,7,4,6,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,4,2,3,7]=>[3,5,6,4,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,4,2,7,3]=>[3,5,7,4,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,4,3,7,2]=>[3,7,5,4,2,1,6]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,4,7,2,3]=>[3,6,7,4,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,4,7,3,2]=>[3,7,6,4,2,1,5]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,7,2,3,4]=>[3,5,6,7,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,7,2,4,3]=>[3,5,7,6,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,7,3,2,4]=>[3,6,5,7,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,7,3,4,2]=>[3,7,5,6,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,7,4,2,3]=>[3,6,7,5,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,1,7,4,3,2]=>[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,1,3,7,4]=>[4,3,5,7,2,1,6]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,1,4,7,3]=>[4,3,7,5,2,1,6]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,1,7,3,4]=>[4,3,6,7,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,1,7,4,3]=>[4,3,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,3,1,4,7]=>[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,3,1,7,4]=>[5,3,4,7,2,1,6]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,3,4,1,7]=>[6,3,4,5,2,1,7]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,3,4,7,1]=>[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,3,7,1,4]=>[6,3,4,7,2,1,5]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,3,7,4,1]=>[7,3,4,6,2,1,5]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,4,1,3,7]=>[5,3,6,4,2,1,7]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,4,1,7,3]=>[5,3,7,4,2,1,6]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,4,3,1,7]=>[6,3,5,4,2,1,7]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,4,3,7,1]=>[7,3,5,4,2,1,6]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,4,7,1,3]=>[6,3,7,4,2,1,5]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,4,7,3,1]=>[7,3,6,4,2,1,5]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,7,1,3,4]=>[5,3,6,7,2,1,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,7,1,4,3]=>[5,3,7,6,2,1,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,7,3,1,4]=>[6,3,5,7,2,1,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,7,3,4,1]=>[7,3,5,6,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,7,4,1,3]=>[6,3,7,5,2,1,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,2,7,4,3,1]=>[7,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,1,2,7,4]=>[4,5,3,7,2,1,6]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,1,4,2,7]=>[4,6,3,5,2,1,7]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,1,4,7,2]=>[4,7,3,5,2,1,6]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,1,7,2,4]=>[4,6,3,7,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,1,7,4,2]=>[4,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,2,1,7,4]=>[5,4,3,7,2,1,6]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,2,4,1,7]=>[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,2,4,7,1]=>[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,2,7,1,4]=>[6,4,3,7,2,1,5]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,2,7,4,1]=>[7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,4,1,2,7]=>[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,4,1,7,2]=>[5,7,3,4,2,1,6]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,4,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,4,2,7,1]=>[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,4,7,1,2]=>[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,4,7,2,1]=>[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,7,1,2,4]=>[5,6,3,7,2,1,4]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,7,1,4,2]=>[5,7,3,6,2,1,4]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,7,2,4,1]=>[7,5,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,7,4,1,2]=>[6,7,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,3,7,4,2,1]=>[7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,1,2,7,3]=>[4,5,7,3,2,1,6]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,1,3,7,2]=>[4,7,5,3,2,1,6]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,1,7,2,3]=>[4,6,7,3,2,1,5]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,1,7,3,2]=>[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,2,1,7,3]=>[5,4,7,3,2,1,6]=>[5,4,7,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,2,3,1,7]=>[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,2,3,7,1]=>[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,2,7,1,3]=>[6,4,7,3,2,1,5]=>[6,4,7,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,2,7,3,1]=>[7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,5,4,3,1,7,2]=>[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,3,7,1,2]=>[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,7,1,2,3]=>[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,7,1,3,2]=>[5,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,4,7,2,1,3]=>[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,7,2,3,1]=>[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,7,3,1,2]=>[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,7,1,2,3,4]=>[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,7,1,2,4,3]=>[4,5,7,6,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,7,1,3,2,4]=>[4,6,5,7,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,7,1,3,4,2]=>[4,7,5,6,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,7,1,4,2,3]=>[4,6,7,5,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,7,1,4,3,2]=>[4,7,6,5,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,5,7,2,1,3,4]=>[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,7,2,1,4,3]=>[5,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,7,2,3,1,4]=>[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,7,2,3,4,1]=>[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,7,2,4,1,3]=>[6,4,7,5,2,1,3]=>[6,4,7,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,7,2,4,3,1]=>[7,4,6,5,2,1,3]=>[7,4,6,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,7,3,1,2,4]=>[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,7,3,1,4,2]=>[5,7,4,6,2,1,3]=>[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,7,3,2,1,4]=>[6,5,4,7,2,1,3]=>[6,5,4,7,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,7,3,2,4,1]=>[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,7,3,4,1,2]=>[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,7,3,4,2,1]=>[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,7,4,1,2,3]=>[5,6,7,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,7,4,1,3,2]=>[5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,7,4,2,3,1]=>[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,7,4,3,1,2]=>[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,2,3,5,4]=>[3,4,5,7,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,2,4,3,5]=>[3,4,6,5,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,2,4,5,3]=>[3,4,7,5,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,2,5,3,4]=>[3,4,6,7,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,2,5,4,3]=>[3,4,7,6,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,2,4,5]=>[3,5,4,6,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,2,5,4]=>[3,5,4,7,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,4,2,5]=>[3,6,4,5,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,4,5,2]=>[3,7,4,5,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,5,2,4]=>[3,6,4,7,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,5,4,2]=>[3,7,4,6,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,2,3,5]=>[3,5,6,4,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,2,5,3]=>[3,5,7,4,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,3,2,5]=>[3,6,5,4,7,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,3,5,2]=>[3,7,5,4,6,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,5,2,3]=>[3,6,7,4,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,5,3,2]=>[3,7,6,4,5,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,2,3,4]=>[3,5,6,7,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,2,4,3]=>[3,5,7,6,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,3,2,4]=>[3,6,5,7,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,3,4,2]=>[3,7,5,6,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,4,2,3]=>[3,6,7,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,4,3,2]=>[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,2,1,3,4,5]=>[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,1,3,5,4]=>[4,3,5,7,6,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,1,4,3,5]=>[4,3,6,5,7,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,1,4,5,3]=>[4,3,7,5,6,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,1,5,3,4]=>[4,3,6,7,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,1,5,4,3]=>[4,3,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,3,1,4,5]=>[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,3,1,5,4]=>[5,3,4,7,6,1,2]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,3,4,1,5]=>[6,3,4,5,7,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,3,4,5,1]=>[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,3,5,1,4]=>[6,3,4,7,5,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,3,5,4,1]=>[7,3,4,6,5,1,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,4,1,3,5]=>[5,3,6,4,7,1,2]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,4,1,5,3]=>[5,3,7,4,6,1,2]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,4,3,1,5]=>[6,3,5,4,7,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,4,3,5,1]=>[7,3,5,4,6,1,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,4,5,1,3]=>[6,3,7,4,5,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,4,5,3,1]=>[7,3,6,4,5,1,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,5,1,3,4]=>[5,3,6,7,4,1,2]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,5,1,4,3]=>[5,3,7,6,4,1,2]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,5,3,1,4]=>[6,3,5,7,4,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,5,3,4,1]=>[7,3,5,6,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,5,4,1,3]=>[6,3,7,5,4,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,5,4,3,1]=>[7,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,3,1,2,4,5]=>[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,2,5,4]=>[4,5,3,7,6,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,4,2,5]=>[4,6,3,5,7,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,4,5,2]=>[4,7,3,5,6,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,5,2,4]=>[4,6,3,7,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,5,4,2]=>[4,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,2,1,4,5]=>[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,2,1,5,4]=>[5,4,3,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,2,4,1,5]=>[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,2,4,5,1]=>[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,2,5,1,4]=>[6,4,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,2,5,4,1]=>[7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,4,1,2,5]=>[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,4,1,5,2]=>[5,7,3,4,6,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,4,2,1,5]=>[6,5,3,4,7,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,4,2,5,1]=>[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,4,5,2,1]=>[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,5,1,2,4]=>[5,6,3,7,4,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,5,1,4,2]=>[5,7,3,6,4,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,5,2,1,4]=>[6,5,3,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,5,2,4,1]=>[7,5,3,6,4,1,2]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,5,4,2,1]=>[7,6,3,5,4,1,2]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,4,1,2,3,5]=>[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,1,2,5,3]=>[4,5,7,3,6,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,1,3,2,5]=>[4,6,5,3,7,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,1,3,5,2]=>[4,7,5,3,6,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,1,5,2,3]=>[4,6,7,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,1,5,3,2]=>[4,7,6,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,2,1,3,5]=>[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,2,1,5,3]=>[5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,2,3,1,5]=>[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,2,3,5,1]=>[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,2,5,1,3]=>[6,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,2,5,3,1]=>[7,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,3,1,2,5]=>[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,3,1,5,2]=>[5,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,3,2,1,5]=>[6,5,4,3,7,1,2]=>[6,5,4,3,7,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,4,3,2,5,1]=>[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,3,5,2,1]=>[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,4,5,1,2,3]=>[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,5,1,3,2]=>[5,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,5,2,1,3]=>[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,5,1,2,3,4]=>[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,7,5,1,2,4,3]=>[4,5,7,6,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,7,5,1,3,2,4]=>[4,6,5,7,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,7,5,1,3,4,2]=>[4,7,5,6,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,7,5,1,4,2,3]=>[4,6,7,5,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,7,5,1,4,3,2]=>[4,7,6,5,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,7,5,2,1,3,4]=>[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,2,1,4,3]=>[5,4,7,6,3,1,2]=>[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,2,3,1,4]=>[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,2,3,4,1]=>[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,2,4,1,3]=>[6,4,7,5,3,1,2]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,2,4,3,1]=>[7,4,6,5,3,1,2]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,3,1,2,4]=>[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,5,3,1,4,2]=>[5,7,4,6,3,1,2]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,5,3,2,1,4]=>[6,5,4,7,3,1,2]=>[6,5,4,7,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,7,5,3,2,4,1]=>[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,7,5,4,1,2,3]=>[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,7,5,4,1,3,2]=>[5,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,7,5,4,2,1,3]=>[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,5,4,6]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,5,6,4]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,6,4,5]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,4,3,6,5]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,4,5,3,6]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,4,5,6,3]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,4,6,3,5]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,4,6,5,3]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,5,3,4,6]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,5,3,6,4]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,5,4,3,6]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,5,4,6,3]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,5,6,4,3]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,3,4,5]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,3,5,4]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,4,3,5]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,4,5,3]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,5,3,4]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,2,4,5,6]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,2,4,6,5]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,2,5,4,6]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,2,5,6,4]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,2,6,4,5]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,2,6,5,4]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,4,2,5,6]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,4,2,6,5]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,4,5,2,6]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,4,5,6,2]=>[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,4,6,2,5]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,4,6,5,2]=>[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,2,4,6]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,2,6,4]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,4,2,6]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,4,6,2]=>[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,6,2,4]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,6,4,2]=>[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,6,2,4,5]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,6,2,5,4]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,6,4,2,5]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,6,4,5,2]=>[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,6,5,2,4]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,6,5,4,2]=>[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,3,5,6]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,3,6,5]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,5,3,6]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,5,6,3]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,6,3,5]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,6,5,3]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,2,5,6]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,5,2,6]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,5,6,2]=>[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,6,5,2]=>[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,2,3,6]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,2,6,3]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,3,2,6]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,3,6,2]=>[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,6,2,3]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,6,3,2]=>[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,2,3,5]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,2,5,3]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,3,5,2]=>[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,5,2,3]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,5,3,2]=>[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,3,4,6]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,3,6,4]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,4,3,6]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,4,6,3]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,6,3,4]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,6,4,3]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,2,4,6]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,2,6,4]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,4,2,6]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,4,6,2]=>[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,6,2,4]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,6,4,2]=>[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,2,3,6]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,2,6,3]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,3,6,2]=>[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,6,2,3]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,6,3,2]=>[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,2,3,4]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,2,4,3]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,3,2,4]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,3,4,2]=>[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,4,2,3]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,4,3,2]=>[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,3,4,5]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,3,5,4]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,4,3,5]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,4,5,3]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,5,3,4]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,5,4,3]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,3,2,4,5]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,3,2,5,4]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,3,4,2,5]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,3,4,5,2]=>[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,3,5,2,4]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,3,5,4,2]=>[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,2,3,5]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,2,5,3]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,3,2,5]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,3,5,2]=>[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,5,2,3]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,5,3,2]=>[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,2,3,4]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,2,4,3]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,3,2,4]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,3,4,2]=>[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,4,2,3]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,3,5,6,4]=>[3,2,4,7,5,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,3,6,4,5]=>[3,2,4,6,7,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,3,6,5,4]=>[3,2,4,7,6,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,4,3,5,6]=>[3,2,5,4,6,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,4,5,3,6]=>[3,2,6,4,5,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,4,5,6,3]=>[3,2,7,4,5,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,4,6,3,5]=>[3,2,6,4,7,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,4,6,5,3]=>[3,2,7,4,6,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,5,3,4,6]=>[3,2,5,6,4,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,5,3,6,4]=>[3,2,5,7,4,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,5,4,6,3]=>[3,2,7,5,4,6,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,5,6,3,4]=>[3,2,6,7,4,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,5,6,4,3]=>[3,2,7,6,4,5,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,6,3,4,5]=>[3,2,5,6,7,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,6,3,5,4]=>[3,2,5,7,6,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,6,4,3,5]=>[3,2,6,5,7,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,6,4,5,3]=>[3,2,7,5,6,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,6,5,3,4]=>[3,2,6,7,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,1,4,5,6]=>[4,2,3,5,6,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,1,4,6,5]=>[4,2,3,5,7,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,1,5,4,6]=>[4,2,3,6,5,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,1,5,6,4]=>[4,2,3,7,5,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,1,6,4,5]=>[4,2,3,6,7,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,1,6,5,4]=>[4,2,3,7,6,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,4,1,5,6]=>[5,2,3,4,6,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,4,1,6,5]=>[5,2,3,4,7,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,4,5,1,6]=>[6,2,3,4,5,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,4,6,1,5]=>[6,2,3,4,7,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,1,4,6]=>[5,2,3,6,4,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,1,6,4]=>[5,2,3,7,4,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,4,1,6]=>[6,2,3,5,4,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,4,6,1]=>[7,2,3,5,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,6,1,4]=>[6,2,3,7,4,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,5,6,4,1]=>[7,2,3,6,4,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,1,4,5]=>[5,2,3,6,7,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,1,5,4]=>[5,2,3,7,6,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,4,1,5]=>[6,2,3,5,7,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,4,5,1]=>[7,2,3,5,6,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,5,1,4]=>[6,2,3,7,5,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,3,6,5,4,1]=>[7,2,3,6,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,1,3,5,6]=>[4,2,5,3,6,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,1,3,6,5]=>[4,2,5,3,7,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,1,5,3,6]=>[4,2,6,3,5,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,1,5,6,3]=>[4,2,7,3,5,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,1,6,3,5]=>[4,2,6,3,7,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,1,6,5,3]=>[4,2,7,3,6,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,3,1,5,6]=>[5,2,4,3,6,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,3,1,6,5]=>[5,2,4,3,7,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,3,5,1,6]=>[6,2,4,3,5,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,3,5,6,1]=>[7,2,4,3,5,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,3,6,1,5]=>[6,2,4,3,7,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,3,6,5,1]=>[7,2,4,3,6,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,1,3,6]=>[5,2,6,3,4,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,1,6,3]=>[5,2,7,3,4,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,3,1,6]=>[6,2,5,3,4,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,3,6,1]=>[7,2,5,3,4,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,6,1,3]=>[6,2,7,3,4,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,5,6,3,1]=>[7,2,6,3,4,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,1,3,5]=>[5,2,6,3,7,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,1,5,3]=>[5,2,7,3,6,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,3,1,5]=>[6,2,5,3,7,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,3,5,1]=>[7,2,5,3,6,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,5,1,3]=>[6,2,7,3,5,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,4,6,5,3,1]=>[7,2,6,3,5,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,1,3,4,6]=>[4,2,5,6,3,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,1,3,6,4]=>[4,2,5,7,3,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,1,4,3,6]=>[4,2,6,5,3,7,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,1,4,6,3]=>[4,2,7,5,3,6,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,1,6,3,4]=>[4,2,6,7,3,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,1,6,4,3]=>[4,2,7,6,3,5,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,3,1,4,6]=>[5,2,4,6,3,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,3,1,6,4]=>[5,2,4,7,3,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,3,4,1,6]=>[6,2,4,5,3,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,3,4,6,1]=>[7,2,4,5,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,3,6,1,4]=>[6,2,4,7,3,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,3,6,4,1]=>[7,2,4,6,3,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,1,3,6]=>[5,2,6,4,3,7,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,1,6,3]=>[5,2,7,4,3,6,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,3,1,6]=>[6,2,5,4,3,7,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,3,6,1]=>[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,6,1,3]=>[6,2,7,4,3,5,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,4,6,3,1]=>[7,2,6,4,3,5,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,1,3,4]=>[5,2,6,7,3,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,1,4,3]=>[5,2,7,6,3,4,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,3,1,4]=>[6,2,5,7,3,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,3,4,1]=>[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,4,1,3]=>[6,2,7,5,3,4,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,5,6,4,3,1]=>[7,2,6,5,3,4,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,1,3,4,5]=>[4,2,5,6,7,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,1,3,5,4]=>[4,2,5,7,6,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,1,4,3,5]=>[4,2,6,5,7,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,1,4,5,3]=>[4,2,7,5,6,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,1,5,3,4]=>[4,2,6,7,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,3,1,4,5]=>[5,2,4,6,7,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,3,1,5,4]=>[5,2,4,7,6,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,3,4,1,5]=>[6,2,4,5,7,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,3,4,5,1]=>[7,2,4,5,6,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,3,5,1,4]=>[6,2,4,7,5,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,3,5,4,1]=>[7,2,4,6,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,1,3,5]=>[5,2,6,4,7,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,1,5,3]=>[5,2,7,4,6,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,3,1,5]=>[6,2,5,4,7,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,3,5,1]=>[7,2,5,4,6,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,5,1,3]=>[6,2,7,4,5,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,4,5,3,1]=>[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,1,3,4]=>[5,2,6,7,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,3,1,4]=>[6,2,5,7,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,3,4,1]=>[7,2,5,6,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,2,4,6,5]=>[3,4,2,5,7,6,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,2,5,4,6]=>[3,4,2,6,5,7,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,2,5,6,4]=>[3,4,2,7,5,6,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,2,6,4,5]=>[3,4,2,6,7,5,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,2,6,5,4]=>[3,4,2,7,6,5,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,4,2,5,6]=>[3,5,2,4,6,7,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,4,2,6,5]=>[3,5,2,4,7,6,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,4,5,2,6]=>[3,6,2,4,5,7,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,4,5,6,2]=>[3,7,2,4,5,6,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,4,6,2,5]=>[3,6,2,4,7,5,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,4,6,5,2]=>[3,7,2,4,6,5,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,5,2,4,6]=>[3,5,2,6,4,7,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,5,2,6,4]=>[3,5,2,7,4,6,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,5,4,2,6]=>[3,6,2,5,4,7,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,5,4,6,2]=>[3,7,2,5,4,6,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,5,6,2,4]=>[3,6,2,7,4,5,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,5,6,4,2]=>[3,7,2,6,4,5,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,6,2,4,5]=>[3,5,2,6,7,4,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,6,2,5,4]=>[3,5,2,7,6,4,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,6,4,2,5]=>[3,6,2,5,7,4,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,6,4,5,2]=>[3,7,2,5,6,4,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,6,5,2,4]=>[3,6,2,7,5,4,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,1,6,5,4,2]=>[3,7,2,6,5,4,1]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,1,5,4,6]=>[4,3,2,6,5,7,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,1,5,6,4]=>[4,3,2,7,5,6,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,1,6,4,5]=>[4,3,2,6,7,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,1,5,6]=>[5,3,2,4,6,7,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,1,6,5]=>[5,3,2,4,7,6,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,5,1,6]=>[6,3,2,4,5,7,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,5,6,1]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,6,1,5]=>[6,3,2,4,7,5,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,1,4,6]=>[5,3,2,6,4,7,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,1,6,4]=>[5,3,2,7,4,6,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,4,1,6]=>[6,3,2,5,4,7,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,4,6,1]=>[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,6,1,4]=>[6,3,2,7,4,5,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,5,6,4,1]=>[7,3,2,6,4,5,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,1,4,5]=>[5,3,2,6,7,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,4,1,5]=>[6,3,2,5,7,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,4,5,1]=>[7,3,2,5,6,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,1,2,5,6]=>[4,5,2,3,6,7,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,1,2,6,5]=>[4,5,2,3,7,6,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,1,5,2,6]=>[4,6,2,3,5,7,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,1,5,6,2]=>[4,7,2,3,5,6,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,1,6,2,5]=>[4,6,2,3,7,5,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,1,6,5,2]=>[4,7,2,3,6,5,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,2,1,5,6]=>[5,4,2,3,6,7,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,2,1,6,5]=>[5,4,2,3,7,6,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,2,5,1,6]=>[6,4,2,3,5,7,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,2,5,6,1]=>[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,2,6,1,5]=>[6,4,2,3,7,5,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,2,6,5,1]=>[7,4,2,3,6,5,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,5,1,2,6]=>[5,6,2,3,4,7,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,5,1,6,2]=>[5,7,2,3,4,6,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,5,2,1,6]=>[6,5,2,3,4,7,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,5,2,6,1]=>[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,5,6,1,2]=>[6,7,2,3,4,5,1]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,5,6,2,1]=>[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,6,1,2,5]=>[5,6,2,3,7,4,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,6,1,5,2]=>[5,7,2,3,6,4,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,6,2,1,5]=>[6,5,2,3,7,4,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,6,2,5,1]=>[7,5,2,3,6,4,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,4,6,5,1,2]=>[6,7,2,3,5,4,1]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,4,6,5,2,1]=>[7,6,2,3,5,4,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,1,2,4,6]=>[4,5,2,6,3,7,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,1,2,6,4]=>[4,5,2,7,3,6,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,1,4,2,6]=>[4,6,2,5,3,7,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,1,4,6,2]=>[4,7,2,5,3,6,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,1,6,2,4]=>[4,6,2,7,3,5,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,1,6,4,2]=>[4,7,2,6,3,5,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,2,1,4,6]=>[5,4,2,6,3,7,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,2,1,6,4]=>[5,4,2,7,3,6,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,2,4,1,6]=>[6,4,2,5,3,7,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,2,4,6,1]=>[7,4,2,5,3,6,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,2,6,1,4]=>[6,4,2,7,3,5,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,2,6,4,1]=>[7,4,2,6,3,5,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,4,1,2,6]=>[5,6,2,4,3,7,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,4,1,6,2]=>[5,7,2,4,3,6,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,4,2,1,6]=>[6,5,2,4,3,7,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,4,2,6,1]=>[7,5,2,4,3,6,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,4,6,1,2]=>[6,7,2,4,3,5,1]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,4,6,2,1]=>[7,6,2,4,3,5,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,6,1,2,4]=>[5,6,2,7,3,4,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,6,1,4,2]=>[5,7,2,6,3,4,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,6,2,1,4]=>[6,5,2,7,3,4,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,6,2,4,1]=>[7,5,2,6,3,4,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,5,6,4,1,2]=>[6,7,2,5,3,4,1]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,6,4,2,1]=>[7,6,2,5,3,4,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,1,2,4,5]=>[4,5,2,6,7,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,1,2,5,4]=>[4,5,2,7,6,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,1,4,2,5]=>[4,6,2,5,7,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,1,4,5,2]=>[4,7,2,5,6,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,1,5,2,4]=>[4,6,2,7,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,1,5,4,2]=>[4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,2,1,4,5]=>[5,4,2,6,7,3,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,2,4,1,5]=>[6,4,2,5,7,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,2,4,5,1]=>[7,4,2,5,6,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,2,5,4,1]=>[7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,4,1,2,5]=>[5,6,2,4,7,3,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,4,1,5,2]=>[5,7,2,4,6,3,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,4,2,1,5]=>[6,5,2,4,7,3,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,4,2,5,1]=>[7,5,2,4,6,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,4,5,1,2]=>[6,7,2,4,5,3,1]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,4,5,2,1]=>[7,6,2,4,5,3,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,5,1,2,4]=>[5,6,2,7,4,3,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,5,1,4,2]=>[5,7,2,6,4,3,1]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,5,2,1,4]=>[6,5,2,7,4,3,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,5,2,4,1]=>[7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,6,5,4,1,2]=>[6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,5,4,2,1]=>[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,2,3,6,5]=>[3,4,5,2,7,6,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,2,5,3,6]=>[3,4,6,2,5,7,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,2,5,6,3]=>[3,4,7,2,5,6,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,2,6,3,5]=>[3,4,6,2,7,5,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,2,6,5,3]=>[3,4,7,2,6,5,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,3,2,5,6]=>[3,5,4,2,6,7,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,3,2,6,5]=>[3,5,4,2,7,6,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,3,5,2,6]=>[3,6,4,2,5,7,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,3,5,6,2]=>[3,7,4,2,5,6,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,3,6,2,5]=>[3,6,4,2,7,5,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,3,6,5,2]=>[3,7,4,2,6,5,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,5,2,3,6]=>[3,5,6,2,4,7,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,5,2,6,3]=>[3,5,7,2,4,6,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,5,3,2,6]=>[3,6,5,2,4,7,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,5,3,6,2]=>[3,7,5,2,4,6,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,5,6,2,3]=>[3,6,7,2,4,5,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,5,6,3,2]=>[3,7,6,2,4,5,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,6,2,3,5]=>[3,5,6,2,7,4,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,6,2,5,3]=>[3,5,7,2,6,4,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,6,3,2,5]=>[3,6,5,2,7,4,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,6,3,5,2]=>[3,7,5,2,6,4,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,6,5,2,3]=>[3,6,7,2,5,4,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,6,5,3,2]=>[3,7,6,2,5,4,1]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,1,3,6,5]=>[4,3,5,2,7,6,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,1,5,3,6]=>[4,3,6,2,5,7,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,1,5,6,3]=>[4,3,7,2,5,6,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,1,6,3,5]=>[4,3,6,2,7,5,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,1,6,5,3]=>[4,3,7,2,6,5,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,3,1,5,6]=>[5,3,4,2,6,7,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,3,1,6,5]=>[5,3,4,2,7,6,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,3,5,1,6]=>[6,3,4,2,5,7,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,3,5,6,1]=>[7,3,4,2,5,6,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,3,6,1,5]=>[6,3,4,2,7,5,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,3,6,5,1]=>[7,3,4,2,6,5,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,5,1,3,6]=>[5,3,6,2,4,7,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,5,1,6,3]=>[5,3,7,2,4,6,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,5,3,1,6]=>[6,3,5,2,4,7,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,5,3,6,1]=>[7,3,5,2,4,6,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,5,6,1,3]=>[6,3,7,2,4,5,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,5,6,3,1]=>[7,3,6,2,4,5,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,1,3,5]=>[5,3,6,2,7,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,1,5,3]=>[5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,3,1,5]=>[6,3,5,2,7,4,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,3,5,1]=>[7,3,5,2,6,4,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,5,1,3]=>[6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,5,3,1]=>[7,3,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,1,2,6,5]=>[4,5,3,2,7,6,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,1,5,2,6]=>[4,6,3,2,5,7,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,1,5,6,2]=>[4,7,3,2,5,6,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,1,6,2,5]=>[4,6,3,2,7,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,1,6,5,2]=>[4,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,2,5,1,6]=>[6,4,3,2,5,7,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,2,5,6,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,5,1,2,6]=>[5,6,3,2,4,7,1]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,5,1,6,2]=>[5,7,3,2,4,6,1]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,5,2,1,6]=>[6,5,3,2,4,7,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,5,2,6,1]=>[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,5,6,1,2]=>[6,7,3,2,4,5,1]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,5,6,2,1]=>[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,6,1,2,5]=>[5,6,3,2,7,4,1]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,6,1,5,2]=>[5,7,3,2,6,4,1]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,6,2,5,1]=>[7,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,6,5,1,2]=>[6,7,3,2,5,4,1]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,6,5,2,1]=>[7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,5,1,2,3,6]=>[4,5,6,2,3,7,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,1,2,6,3]=>[4,5,7,2,3,6,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,1,3,2,6]=>[4,6,5,2,3,7,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,1,3,6,2]=>[4,7,5,2,3,6,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,1,6,2,3]=>[4,6,7,2,3,5,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,1,6,3,2]=>[4,7,6,2,3,5,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,2,1,3,6]=>[5,4,6,2,3,7,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,2,1,6,3]=>[5,4,7,2,3,6,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,2,3,1,6]=>[6,4,5,2,3,7,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,2,3,6,1]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,2,6,1,3]=>[6,4,7,2,3,5,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,2,6,3,1]=>[7,4,6,2,3,5,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,3,1,2,6]=>[5,6,4,2,3,7,1]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,5,3,1,6,2]=>[5,7,4,2,3,6,1]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,5,3,2,1,6]=>[6,5,4,2,3,7,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,5,3,2,6,1]=>[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,5,3,6,1,2]=>[6,7,4,2,3,5,1]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,5,3,6,2,1]=>[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,6,1,3,2]=>[5,7,6,2,3,4,1]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,5,6,2,1,3]=>[6,5,7,2,3,4,1]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,6,2,3,1]=>[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,5,6,3,1,2]=>[6,7,5,2,3,4,1]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,5,6,3,2,1]=>[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,6,1,2,3,5]=>[4,5,6,2,7,3,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,1,2,5,3]=>[4,5,7,2,6,3,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,1,3,2,5]=>[4,6,5,2,7,3,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,1,3,5,2]=>[4,7,5,2,6,3,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,1,5,2,3]=>[4,6,7,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,1,5,3,2]=>[4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,2,1,3,5]=>[5,4,6,2,7,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,2,1,5,3]=>[5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,2,3,1,5]=>[6,4,5,2,7,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,2,3,5,1]=>[7,4,5,2,6,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,2,5,1,3]=>[6,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,3,1,2,5]=>[5,6,4,2,7,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,6,3,1,5,2]=>[5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,6,3,2,1,5]=>[6,5,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,6,3,2,5,1]=>[7,5,4,2,6,3,1]=>[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,6,3,5,1,2]=>[6,7,4,2,5,3,1]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,6,3,5,2,1]=>[7,6,4,2,5,3,1]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,6,5,1,2,3]=>[5,6,7,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,5,2,1,3]=>[6,5,7,2,4,3,1]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,5,2,3,1]=>[7,5,6,2,4,3,1]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,6,5,3,1,2]=>[6,7,5,2,4,3,1]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,6,5,3,2,1]=>[7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,2,3,6,4]=>[3,4,5,7,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,2,4,3,6]=>[3,4,6,5,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,2,4,6,3]=>[3,4,7,5,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,2,6,3,4]=>[3,4,6,7,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,2,6,4,3]=>[3,4,7,6,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,3,2,4,6]=>[3,5,4,6,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,3,2,6,4]=>[3,5,4,7,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,3,4,2,6]=>[3,6,4,5,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,3,4,6,2]=>[3,7,4,5,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,3,6,2,4]=>[3,6,4,7,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,3,6,4,2]=>[3,7,4,6,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,4,2,3,6]=>[3,5,6,4,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,4,2,6,3]=>[3,5,7,4,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,4,3,6,2]=>[3,7,5,4,2,6,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,4,6,2,3]=>[3,6,7,4,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,4,6,3,2]=>[3,7,6,4,2,5,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,6,2,3,4]=>[3,5,6,7,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,6,2,4,3]=>[3,5,7,6,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,6,3,2,4]=>[3,6,5,7,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,6,3,4,2]=>[3,7,5,6,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,6,4,2,3]=>[3,6,7,5,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,1,6,4,3,2]=>[3,7,6,5,2,4,1]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,1,3,6,4]=>[4,3,5,7,2,6,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,1,4,3,6]=>[4,3,6,5,2,7,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,1,4,6,3]=>[4,3,7,5,2,6,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,1,6,3,4]=>[4,3,6,7,2,5,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,1,6,4,3]=>[4,3,7,6,2,5,1]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,3,1,4,6]=>[5,3,4,6,2,7,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,3,1,6,4]=>[5,3,4,7,2,6,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,3,4,1,6]=>[6,3,4,5,2,7,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,3,4,6,1]=>[7,3,4,5,2,6,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,3,6,1,4]=>[6,3,4,7,2,5,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,3,6,4,1]=>[7,3,4,6,2,5,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,4,1,3,6]=>[5,3,6,4,2,7,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,4,1,6,3]=>[5,3,7,4,2,6,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,4,3,1,6]=>[6,3,5,4,2,7,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,4,3,6,1]=>[7,3,5,4,2,6,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,4,6,1,3]=>[6,3,7,4,2,5,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,4,6,3,1]=>[7,3,6,4,2,5,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,6,1,3,4]=>[5,3,6,7,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,6,1,4,3]=>[5,3,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,6,3,1,4]=>[6,3,5,7,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,6,3,4,1]=>[7,3,5,6,2,4,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,6,4,1,3]=>[6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,2,6,4,3,1]=>[7,3,6,5,2,4,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,2,6,4]=>[4,5,3,7,2,6,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,4,2,6]=>[4,6,3,5,2,7,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,4,6,2]=>[4,7,3,5,2,6,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,2,4]=>[4,6,3,7,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,4,2]=>[4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,2,1,6,4]=>[5,4,3,7,2,6,1]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,2,4,1,6]=>[6,4,3,5,2,7,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,2,4,6,1]=>[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,2,6,1,4]=>[6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,2,6,4,1]=>[7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,4,1,2,6]=>[5,6,3,4,2,7,1]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,4,1,6,2]=>[5,7,3,4,2,6,1]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,4,2,1,6]=>[6,5,3,4,2,7,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,4,2,6,1]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,4,6,1,2]=>[6,7,3,4,2,5,1]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,4,6,2,1]=>[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,6,1,2,4]=>[5,6,3,7,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,6,1,4,2]=>[5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,6,2,1,4]=>[6,5,3,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,3,6,4,1,2]=>[6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,6,4,2,1]=>[7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,1,2,6,3]=>[4,5,7,3,2,6,1]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,1,3,2,6]=>[4,6,5,3,2,7,1]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,1,3,6,2]=>[4,7,5,3,2,6,1]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,1,6,2,3]=>[4,6,7,3,2,5,1]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,1,6,3,2]=>[4,7,6,3,2,5,1]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,2,1,6,3]=>[5,4,7,3,2,6,1]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,2,3,1,6]=>[6,4,5,3,2,7,1]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,2,3,6,1]=>[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,2,6,1,3]=>[6,4,7,3,2,5,1]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,2,6,3,1]=>[7,4,6,3,2,5,1]=>[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,5,4,3,1,6,2]=>[5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,5,4,3,6,1,2]=>[6,7,4,3,2,5,1]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,5,4,3,6,2,1]=>[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,5,4,6,1,2,3]=>[5,6,7,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,6,1,3,2]=>[5,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,4,6,2,1,3]=>[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,6,2,3,1]=>[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,4,6,3,1,2]=>[6,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,5,4,6,3,2,1]=>[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,5,6,1,2,3,4]=>[4,5,6,7,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,6,1,2,4,3]=>[4,5,7,6,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,6,1,3,2,4]=>[4,6,5,7,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,6,1,3,4,2]=>[4,7,5,6,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,6,1,4,2,3]=>[4,6,7,5,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,6,1,4,3,2]=>[4,7,6,5,2,3,1]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,6,2,1,3,4]=>[5,4,6,7,2,3,1]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,2,1,4,3]=>[5,4,7,6,2,3,1]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,2,3,1,4]=>[6,4,5,7,2,3,1]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,2,3,4,1]=>[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,2,4,1,3]=>[6,4,7,5,2,3,1]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,2,4,3,1]=>[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,3,1,2,4]=>[5,6,4,7,2,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,6,3,1,4,2]=>[5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,6,3,2,1,4]=>[6,5,4,7,2,3,1]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,6,3,2,4,1]=>[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,6,4,1,2,3]=>[5,6,7,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,6,4,1,3,2]=>[5,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,6,4,2,1,3]=>[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,2,3,5,4]=>[3,4,5,7,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,2,4,3,5]=>[3,4,6,5,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,2,4,5,3]=>[3,4,7,5,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,2,5,3,4]=>[3,4,6,7,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,2,5,4,3]=>[3,4,7,6,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,3,2,4,5]=>[3,5,4,6,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,3,2,5,4]=>[3,5,4,7,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,3,4,2,5]=>[3,6,4,5,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,3,4,5,2]=>[3,7,4,5,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,3,5,2,4]=>[3,6,4,7,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,3,5,4,2]=>[3,7,4,6,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,4,2,3,5]=>[3,5,6,4,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,4,2,5,3]=>[3,5,7,4,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,4,3,2,5]=>[3,6,5,4,7,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,4,3,5,2]=>[3,7,5,4,6,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,4,5,2,3]=>[3,6,7,4,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,4,5,3,2]=>[3,7,6,4,5,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,5,2,3,4]=>[3,5,6,7,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,5,2,4,3]=>[3,5,7,6,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,5,3,2,4]=>[3,6,5,7,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,5,3,4,2]=>[3,7,5,6,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,5,4,2,3]=>[3,6,7,5,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,1,3,5,4]=>[4,3,5,7,6,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,1,4,3,5]=>[4,3,6,5,7,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,1,4,5,3]=>[4,3,7,5,6,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,1,5,3,4]=>[4,3,6,7,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,3,1,4,5]=>[5,3,4,6,7,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,3,1,5,4]=>[5,3,4,7,6,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,3,4,1,5]=>[6,3,4,5,7,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,3,5,1,4]=>[6,3,4,7,5,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,4,1,3,5]=>[5,3,6,4,7,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,4,1,5,3]=>[5,3,7,4,6,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,4,3,1,5]=>[6,3,5,4,7,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,4,3,5,1]=>[7,3,5,4,6,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,4,5,1,3]=>[6,3,7,4,5,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,4,5,3,1]=>[7,3,6,4,5,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,5,1,3,4]=>[5,3,6,7,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,5,3,1,4]=>[6,3,5,7,4,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,5,3,4,1]=>[7,3,5,6,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,5,4,1,3]=>[6,3,7,5,4,2,1]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,2,5,4]=>[4,5,3,7,6,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,4,2,5]=>[4,6,3,5,7,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,4,5,2]=>[4,7,3,5,6,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,5,2,4]=>[4,6,3,7,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,5,4,2]=>[4,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,2,4,1,5]=>[6,4,3,5,7,2,1]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,2,4,5,1]=>[7,4,3,5,6,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,2,5,1,4]=>[6,4,3,7,5,2,1]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,2,5,4,1]=>[7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,4,1,2,5]=>[5,6,3,4,7,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,4,1,5,2]=>[5,7,3,4,6,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,4,2,1,5]=>[6,5,3,4,7,2,1]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,4,2,5,1]=>[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,4,5,1,2]=>[6,7,3,4,5,2,1]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,5,1,2,4]=>[5,6,3,7,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,5,1,4,2]=>[5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,5,2,1,4]=>[6,5,3,7,4,2,1]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,5,2,4,1]=>[7,5,3,6,4,2,1]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,5,4,1,2]=>[6,7,3,5,4,2,1]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,1,2,5,3]=>[4,5,7,3,6,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,1,3,2,5]=>[4,6,5,3,7,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,1,3,5,2]=>[4,7,5,3,6,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,1,5,2,3]=>[4,6,7,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,1,5,3,2]=>[4,7,6,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,2,1,5,3]=>[5,4,7,3,6,2,1]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,2,3,1,5]=>[6,4,5,3,7,2,1]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,2,3,5,1]=>[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,2,5,1,3]=>[6,4,7,3,5,2,1]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,2,5,3,1]=>[7,4,6,3,5,2,1]=>[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,4,3,1,5,2]=>[5,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,4,3,2,5,1]=>[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,4,3,5,1,2]=>[6,7,4,3,5,2,1]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,4,5,1,2,3]=>[5,6,7,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,5,1,3,2]=>[5,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,5,2,1,3]=>[6,5,7,3,4,2,1]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,2,4,3]=>[4,5,7,6,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,3,2,4]=>[4,6,5,7,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,3,4,2]=>[4,7,5,6,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,4,2,3]=>[4,6,7,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,2,3,1,4]=>[6,4,5,7,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,2,3,4,1]=>[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,2,4,1,3]=>[6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,2,4,3,1]=>[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,6,5,3,1,4,2]=>[5,7,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,6,5,3,2,4,1]=>[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[7,5,6,8,2,3,1,4]=>[7,5,6,8,2,3,1,4]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[6,7,5,8,3,1,2,4]=>[6,7,5,8,3,1,2,4]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[6,5,7,8,2,1,3,4]=>[6,5,7,8,2,1,3,4]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,8,5,4,7,6,3]=>[2,1,8,5,4,7,6,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,8,7]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[8,3,2,5,4,7,6,1]=>[8,3,2,5,4,7,6,1]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[8,3,2,7,6,5,4,1]=>[8,3,2,7,6,5,4,1]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[8,5,4,3,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,8,5,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,8,7]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,5,7,3,8,4,6]=>[2,1,5,7,3,8,4,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,6,7,8,3,4,5]=>[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,4,1,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,8,5,6]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,5,1,6,2,4,8,7]=>[3,5,1,6,2,4,8,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,8,4,6]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,6,1,7,8,2,4,5]=>[3,6,1,7,8,2,4,5]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,8,7]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[4,5,7,1,2,8,3,6]=>[4,5,7,1,2,8,3,6]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[4,6,7,1,8,2,3,5]=>[4,6,7,1,8,2,3,5]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,8,7]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[7,3,2,5,4,8,1,6]=>[7,3,2,5,4,8,1,6]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[8,4,5,2,3,7,6,1]=>[8,4,5,2,3,7,6,1]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,8,1,6]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[6,4,5,2,3,1,8,7]=>[6,4,5,2,3,1,8,7]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,4,6,2,1,3,8,7]=>[5,4,6,2,1,3,8,7]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,6,1,5,4,2,8,7]=>[3,6,1,5,4,2,8,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,6,5,1,3,2,8,7]=>[4,6,5,1,3,2,8,7]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,6,4,3,1,2,8,7]=>[5,6,4,3,1,2,8,7]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[7,6,4,3,8,2,1,5]=>[7,6,4,3,8,2,1,5]=>[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[6,7,4,3,8,1,2,5]=>[6,7,4,3,8,1,2,5]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[5,7,4,3,1,8,2,6]=>[5,7,4,3,1,8,2,6]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[4,7,5,1,3,8,2,6]=>[4,7,5,1,3,8,2,6]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,8,2,6]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,8,3,6]=>[2,1,7,5,4,8,3,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,8,1,5,4,7,6,2]=>[3,8,1,5,4,7,6,2]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,8,5,1,3,7,6,2]=>[4,8,5,1,3,7,6,2]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[6,8,4,3,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[6,8,5,7,3,1,4,2]=>[6,8,5,7,3,1,4,2]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,8,6,7,1,3,4,2]=>[5,8,6,7,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[4,8,6,1,7,3,5,2]=>[4,8,6,1,7,3,5,2]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,8,1,6,7,4,5,2]=>[3,8,1,6,7,4,5,2]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,8,6,7,4,5,3]=>[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,7,6,8,4,3,5]=>[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,7,1,6,8,4,2,5]=>[3,7,1,6,8,4,2,5]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,7,6,1,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,7,6,8,1,3,2,4]=>[5,7,6,8,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,8,3,6]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[6,4,7,2,8,1,3,5]=>[6,4,7,2,8,1,3,5]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[7,4,6,2,8,3,1,5]=>[7,4,6,2,8,3,1,5]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[8,4,6,2,7,3,5,1]=>[8,4,6,2,7,3,5,1]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[8,3,2,6,7,4,5,1]=>[8,3,2,6,7,4,5,1]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[7,3,2,6,8,4,1,5]=>[7,3,2,6,8,4,1,5]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[6,3,2,7,8,1,4,5]=>[6,3,2,7,8,1,4,5]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[5,3,2,7,1,8,4,6]=>[5,3,2,7,1,8,4,6]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,1,2,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[6,3,2,8,7,1,5,4]=>[6,3,2,8,7,1,5,4]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,3,2,8,6,5,1,4]=>[7,3,2,8,6,5,1,4]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[7,4,8,2,6,5,1,3]=>[7,4,8,2,6,5,1,3]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,4,8,2,1,7,6,3]=>[5,4,8,2,1,7,6,3]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,5,8,1,2,7,6,3]=>[4,5,8,1,2,7,6,3]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,5,1,8,2,7,6,4]=>[3,5,1,8,2,7,6,4]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,5,8,3,7,6,4]=>[2,1,5,8,3,7,6,4]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,6,8,7,3,5,4]=>[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,6,1,8,7,2,5,4]=>[3,6,1,8,7,2,5,4]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,6,8,1,7,2,5,3]=>[4,6,8,1,7,2,5,3]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,6,8,7,1,2,4,3]=>[5,6,8,7,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[7,5,8,6,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[5,7,8,6,1,4,2,3]=>[5,7,8,6,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[4,7,8,1,6,5,2,3]=>[4,7,8,1,6,5,2,3]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,7,1,8,6,5,2,4]=>[3,7,1,8,6,5,2,4]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,1,7,8,6,5,3,4]=>[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,8,7,1,6,5,3,2]=>[4,8,7,1,6,5,3,2]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[6,5,8,7,3,4,1,2]=>[7,8,5,6,2,1,4,3]=>[7,8,5,6,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,4,3,8,7,6,1,2]=>[7,8,3,2,1,6,5,4]=>[7,8,3,2,1,6,5,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[6,4,8,3,7,5,1,2]=>[7,8,4,2,6,1,5,3]=>[7,8,4,2,6,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,3,8,2,1,7,5,4]=>[5,4,2,8,7,1,6,3]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,8,3,2,1,6,5,4]=>[5,4,3,8,7,6,1,2]=>[5,4,3,8,7,6,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[7,8,4,2,6,1,5,3]=>[6,4,8,3,7,5,1,2]=>[6,4,8,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[5,4,2,8,7,1,6,3]=>[6,3,8,2,1,7,5,4]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[7,8,5,6,2,1,4,3]=>[6,5,8,7,3,4,1,2]=>[6,5,8,7,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
Map
inverse
Description
Sends a permutation to its inverse.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.