Identifier
Mp00068:
Permutations
—Simion-Schmidt map⟶
Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00252: Permutations —restriction⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[]=>.
[1,2]=>[1,2]=>[1]=>[.,.]
[2,1]=>[2,1]=>[1]=>[.,.]
[1,2,3]=>[1,3,2]=>[1,2]=>[.,[.,.]]
[1,3,2]=>[1,3,2]=>[1,2]=>[.,[.,.]]
[2,1,3]=>[2,1,3]=>[2,1]=>[[.,.],.]
[2,3,1]=>[2,3,1]=>[2,1]=>[[.,.],.]
[3,1,2]=>[3,1,2]=>[1,2]=>[.,[.,.]]
[3,2,1]=>[3,2,1]=>[2,1]=>[[.,.],.]
[1,2,3,4]=>[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[1,2,4,3]=>[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,2,4]=>[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,4,2]=>[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[1,4,2,3]=>[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[1,4,3,2]=>[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,3,4]=>[2,1,4,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,1,4,3]=>[2,1,4,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,3,1,4]=>[2,4,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,3,4,1]=>[2,4,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[2,4,1,3]=>[2,4,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,4,3,1]=>[2,4,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[3,1,2,4]=>[3,1,4,2]=>[3,1,2]=>[[.,[.,.]],.]
[3,1,4,2]=>[3,1,4,2]=>[3,1,2]=>[[.,[.,.]],.]
[3,2,1,4]=>[3,2,1,4]=>[3,2,1]=>[[[.,.],.],.]
[3,2,4,1]=>[3,2,4,1]=>[3,2,1]=>[[[.,.],.],.]
[3,4,1,2]=>[3,4,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[3,4,2,1]=>[3,4,2,1]=>[3,2,1]=>[[[.,.],.],.]
[4,1,2,3]=>[4,1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[4,1,3,2]=>[4,1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[4,2,1,3]=>[4,2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[4,2,3,1]=>[4,2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[4,3,1,2]=>[4,3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[4,3,2,1]=>[4,3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,2,3,4,5]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,3,5,4]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,3,5]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,5,3]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,5,3,4]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,5,4,3]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,4,5]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,5,4]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,4,2,5]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,4,5,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,5,2,4]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,5,4,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,3,5]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,5,3]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,3,2,5]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,3,5,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,5,2,3]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,5,3,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,5,2,3,4]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,5,2,4,3]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,5,3,2,4]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,5,3,4,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,5,4,2,3]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,3,4,5]=>[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,3,5,4]=>[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,4,3,5]=>[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,4,5,3]=>[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,5,3,4]=>[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,4,5]=>[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,5,4]=>[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,4,1,5]=>[2,5,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,3,4,5,1]=>[2,5,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,3,5,1,4]=>[2,5,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,3,5,4,1]=>[2,5,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,4,1,3,5]=>[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,4,1,5,3]=>[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,4,3,1,5]=>[2,5,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,4,3,5,1]=>[2,5,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,4,5,1,3]=>[2,5,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,4,5,3,1]=>[2,5,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,5,1,3,4]=>[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,5,1,4,3]=>[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,5,3,1,4]=>[2,5,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,5,3,4,1]=>[2,5,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,5,4,1,3]=>[2,5,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,5,4,3,1]=>[2,5,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,1,2,4,5]=>[3,1,5,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,1,2,5,4]=>[3,1,5,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,1,4,2,5]=>[3,1,5,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,1,4,5,2]=>[3,1,5,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,1,5,2,4]=>[3,1,5,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,1,5,4,2]=>[3,1,5,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,2,1,4,5]=>[3,2,1,5,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,4,1,5]=>[3,2,5,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,4,5,1]=>[3,2,5,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[3,2,5,1,4]=>[3,2,5,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,5,4,1]=>[3,2,5,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[3,4,1,2,5]=>[3,5,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,4,1,5,2]=>[3,5,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,4,2,1,5]=>[3,5,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,4,2,5,1]=>[3,5,2,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[3,4,5,1,2]=>[3,5,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,4,5,2,1]=>[3,5,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[3,5,1,2,4]=>[3,5,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,5,1,4,2]=>[3,5,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[3,5,2,1,4]=>[3,5,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,5,2,4,1]=>[3,5,2,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[3,5,4,1,2]=>[3,5,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,5,4,2,1]=>[3,5,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[4,1,2,3,5]=>[4,1,5,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,1,2,5,3]=>[4,1,5,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,1,3,2,5]=>[4,1,5,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,1,3,5,2]=>[4,1,5,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,1,5,2,3]=>[4,1,5,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,1,5,3,2]=>[4,1,5,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,2,1,3,5]=>[4,2,1,5,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[4,2,1,5,3]=>[4,2,1,5,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[4,2,3,1,5]=>[4,2,5,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[4,2,3,5,1]=>[4,2,5,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,2,5,1,3]=>[4,2,5,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[4,2,5,3,1]=>[4,2,5,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,3,1,2,5]=>[4,3,1,5,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[4,3,1,5,2]=>[4,3,1,5,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,3,2,5,1]=>[4,3,2,5,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,3,5,1,2]=>[4,3,5,1,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[4,3,5,2,1]=>[4,3,5,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,5,1,2,3]=>[4,5,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,5,1,3,2]=>[4,5,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,5,2,1,3]=>[4,5,2,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[4,5,2,3,1]=>[4,5,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,5,3,1,2]=>[4,5,3,1,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[4,5,3,2,1]=>[4,5,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[5,1,2,3,4]=>[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[5,1,2,4,3]=>[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[5,1,3,2,4]=>[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[5,1,3,4,2]=>[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[5,1,4,2,3]=>[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[5,1,4,3,2]=>[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[5,2,1,3,4]=>[5,2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[5,2,1,4,3]=>[5,2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[5,2,3,1,4]=>[5,2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[5,2,3,4,1]=>[5,2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[5,2,4,1,3]=>[5,2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[5,2,4,3,1]=>[5,2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[5,3,1,2,4]=>[5,3,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[5,3,1,4,2]=>[5,3,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[5,3,2,1,4]=>[5,3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[5,3,2,4,1]=>[5,3,2,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[5,3,4,1,2]=>[5,3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[5,3,4,2,1]=>[5,3,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[5,4,1,2,3]=>[5,4,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[5,4,1,3,2]=>[5,4,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[5,4,2,1,3]=>[5,4,2,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[5,4,2,3,1]=>[5,4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[5,4,3,1,2]=>[5,4,3,1,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[5,4,3,2,1]=>[5,4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
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[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,4,6]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,1,5,3,6]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,1,6,3,5]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,1,5,2,6]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,1,6,2,5]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,1,4,3,6]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,1,6,3,4]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,1,4,2,6]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,1,6,2,4]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,1,3,2,6]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,1,6,2,3]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
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[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
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[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
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[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
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[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
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[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,1,4,2,5]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,1,5,2,4]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,1,3,2,5]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,1,5,2,3]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[6,5,1,3,2,4]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[6,5,1,4,2,3]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,7,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,5,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,7,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,5,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,6,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,6,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,7,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,4,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,7,4]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,7,4,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,7,6,4]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,5,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,7,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,4,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,7,4]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,7,4,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,7,5,4]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,7,4,5,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,7,4,6,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,7,5,4,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,7,5,6,4]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,7,6,4,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,7,6,5,4]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,6,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,7,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,5,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,7,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,7,5,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,7,6,5]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,6,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,7,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,3,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,7,3]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,7,3,6]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,7,6,3]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,5,7]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[2,1,3,4,6,5,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,5,3,4,6,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,5,4,6,7,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,5,4,7,6,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
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[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,4,5,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,4,7,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,5,4,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,5,7,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,7,4,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,7,5,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,3,5,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,3,7,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,5,7,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,3,4,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,3,7,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,4,7,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,3,4,6,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,3,5,4,6]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,3,5,6,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,3,6,4,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,3,6,5,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,4,3,5,6]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,4,3,6,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,4,5,7,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,4,6,5,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,4,6,7,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,4,7,5,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,4,7,6,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,4,6,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,4,7,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,6,4,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,6,7,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,7,4,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,5,7,6,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,4,5,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,4,7,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,5,4,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,5,7,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,7,4,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,6,7,5,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,7,4,5,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,7,4,6,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,7,5,4,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,7,5,6,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,7,6,4,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,2,7,6,5,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,5,6,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,5,7,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,6,5,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,6,7,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,7,5,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,7,6,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,2,6,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,2,7,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,6,2,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,6,7,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,7,2,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,5,7,6,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,2,5,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,2,7,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,5,2,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,5,7,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,7,2,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,6,7,5,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,7,2,5,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,7,2,6,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,7,5,2,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,7,5,6,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,7,6,2,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,7,6,5,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,4,6,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,4,7,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,6,4,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,6,7,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,7,4,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,2,7,6,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,2,6,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,2,7,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,6,2,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,6,7,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,7,2,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,4,7,6,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,2,4,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,2,7,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,4,2,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,4,7,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,7,2,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,6,7,4,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,7,2,4,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,7,2,6,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,7,4,2,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,7,4,6,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,7,6,2,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,5,7,6,4,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,4,5,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,4,7,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,5,4,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,5,7,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,7,4,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,7,5,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,2,5,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,2,7,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,5,2,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,5,7,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,7,2,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,4,7,5,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,2,4,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,2,7,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,4,2,7]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,4,7,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,7,2,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,5,7,4,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,7,2,4,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,7,2,5,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,7,4,2,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,7,4,5,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,7,5,2,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,7,5,4,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,2,4,5,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,2,4,6,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,2,5,4,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,2,5,6,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,2,6,4,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,2,6,5,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,4,2,5,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,4,2,6,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,4,5,2,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,4,5,6,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,4,6,2,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,4,6,5,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,5,2,4,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,5,2,6,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,5,4,2,6]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,5,4,6,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,5,6,2,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,5,6,4,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,6,2,4,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,6,2,5,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,6,4,2,5]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,6,4,5,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,6,5,2,4]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,5,7,6]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,6,5,7]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,6,7,5]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,7,5,6]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,7,6,5]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,4,6,7]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,4,7,6]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,6,4,7]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,6,7,4]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,7,4,6]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,4,5,7]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,4,7,5]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,5,4,7]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,7,4,5,6]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,7,4,6,5]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,5,6,7]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,5,7,6]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,6,5,7]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,6,7,5]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,7,5,6]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,7,6,5]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,1,6,7]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,1,7,6]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,6,1,7]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,6,7,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,7,1,6]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,5,7,6,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,1,5,7]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,1,7,5]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,5,1,7]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,5,7,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,7,1,5]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,6,7,5,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,7,1,5,6]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,7,1,6,5]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,7,5,1,6]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,7,5,6,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,7,6,1,5]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,7,6,5,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,4,6,7]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,4,7,6]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,6,4,7]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,6,7,4]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,7,4,6]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,7,6,4]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,1,6,7]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,1,7,6]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,6,1,7]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,6,7,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,7,1,6]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,4,7,6,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,1,4,7]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,1,7,4]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,4,1,7]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,4,7,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,7,1,4]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,6,7,4,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,7,1,4,6]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,7,1,6,4]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,7,4,1,6]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,7,4,6,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,7,6,1,4]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,7,6,4,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,4,5,7]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,4,7,5]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,5,4,7]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,5,7,4]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,7,4,5]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,7,5,4]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,1,5,7]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,1,7,5]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,5,1,7]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,5,7,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,7,1,5]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,4,7,5,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,1,4,7]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,1,7,4]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,4,1,7]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,4,7,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,7,1,4]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,5,7,4,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,7,1,4,5]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,7,1,5,4]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,7,4,1,5]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,7,4,5,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,7,5,1,4]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,7,5,4,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,1,4,5,6]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,1,4,6,5]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,1,5,4,6]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,1,5,6,4]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,1,6,4,5]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,4,1,5,6]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,4,1,6,5]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,4,5,1,6]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,4,5,6,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,4,6,1,5]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,4,6,5,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,5,1,4,6]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,5,1,6,4]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,5,4,1,6]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,5,4,6,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,5,6,1,4]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,5,6,4,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,6,1,4,5]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,6,4,1,5]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,6,4,5,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,5,7,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,6,5,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,6,7,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,7,5,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,7,6,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,2,6,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,2,7,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,6,2,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,6,7,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,7,2,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,7,6,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,2,5,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,2,7,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,5,2,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,5,7,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,7,2,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,7,5,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,7,2,5,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,7,2,6,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,7,5,2,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,7,5,6,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,7,6,2,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,7,6,5,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,1,5,7,6]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,1,6,5,7]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,1,6,7,5]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,1,7,5,6]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,1,7,6,5]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,1,7,6]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,6,7,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,7,1,6]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,5,7,6,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,1,5,7]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,1,7,5]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,5,1,7]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,5,7,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,7,1,5]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,6,7,5,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,7,1,5,6]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,7,1,6,5]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,7,5,1,6]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,7,5,6,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,7,6,1,5]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,2,7,6,5,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,2,7,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,6,2,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,6,7,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,7,2,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,7,6,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,2,1,7,6]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,2,6,7,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,2,7,1,6]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,2,7,6,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,6,1,7,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,6,2,7,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,6,7,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,7,1,2,6]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,7,1,6,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,7,2,1,6]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,7,2,6,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,7,6,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,7,6,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,1,2,5,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,2,7,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,5,2,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,5,7,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,7,2,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,7,5,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,2,1,5,7]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,2,1,7,5]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,2,5,1,7]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,2,5,7,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,2,7,1,5]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,2,7,5,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,5,1,2,7]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,5,1,7,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,5,2,1,7]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,5,2,7,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,5,7,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,5,7,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,7,1,2,5]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,7,1,5,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,7,2,1,5]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,7,2,5,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,7,5,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,7,5,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,1,2,5,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,1,2,6,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,1,5,2,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,1,5,6,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,1,6,2,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,1,6,5,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,2,1,5,6]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,2,1,6,5]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,2,5,1,6]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,2,5,6,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,2,6,1,5]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,2,6,5,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,5,1,2,6]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,5,1,6,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,5,2,1,6]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,5,2,6,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,5,6,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,5,6,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,6,1,2,5]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,6,1,5,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,6,2,1,5]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,6,2,5,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,6,5,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,6,5,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,1,2,4,6,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,4,7,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,6,4,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,6,7,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,7,4,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,7,6,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,2,6,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,2,7,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,6,2,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,6,7,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,7,2,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,7,6,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,2,4,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,2,7,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,4,2,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,4,7,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,7,2,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,7,4,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,7,2,4,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,7,2,6,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,7,4,2,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,7,4,6,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,7,6,2,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,7,6,4,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,4,6,7]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,1,4,7,6]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,1,6,4,7]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,1,6,7,4]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,1,7,4,6]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,1,7,6,4]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,1,6,7]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,1,7,6]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,6,1,7]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,6,7,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,7,1,6]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,4,7,6,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,1,4,7]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,1,7,4]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,4,1,7]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,4,7,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,7,1,4]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,6,7,4,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,7,1,4,6]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,7,1,6,4]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,7,4,1,6]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,7,4,6,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,7,6,1,4]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,2,7,6,4,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,1,2,6,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,2,7,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,6,2,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,6,7,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,7,2,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,7,6,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,2,1,6,7]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,2,1,7,6]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,2,6,1,7]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,2,6,7,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,2,7,1,6]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,2,7,6,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,6,1,2,7]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,6,1,7,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,6,2,1,7]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,6,2,7,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,6,7,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,6,7,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,7,1,2,6]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,7,1,6,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,7,2,1,6]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,7,2,6,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,4,7,6,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,7,6,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,1,2,4,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,2,7,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,4,2,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,4,7,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,7,2,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,7,4,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,2,1,4,7]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,2,1,7,4]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,2,4,1,7]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,2,4,7,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,2,7,1,4]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,2,7,4,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,4,1,2,7]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,4,1,7,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,4,2,1,7]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,4,2,7,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,4,7,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,4,7,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,7,1,2,4]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,7,1,4,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,7,2,1,4]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,7,2,4,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,7,4,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,7,4,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,1,2,4,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,1,2,6,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,1,4,2,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,1,4,6,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,1,6,2,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,1,6,4,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,2,1,4,6]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,2,1,6,4]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,2,4,1,6]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,2,4,6,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,2,6,1,4]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,2,6,4,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,4,1,2,6]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,4,1,6,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,4,2,1,6]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,4,2,6,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,4,6,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,4,6,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,6,1,2,4]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,6,1,4,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,6,2,1,4]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,6,2,4,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,6,4,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,6,4,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,1,2,4,5,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,4,7,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,5,4,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,5,7,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,7,4,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,7,5,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,2,5,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,2,7,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,5,2,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,5,7,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,7,2,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,7,5,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,2,4,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,2,7,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,4,2,7]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,4,7,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,7,2,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,7,4,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,7,2,4,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,7,2,5,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,7,4,2,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,7,4,5,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,7,5,2,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,7,5,4,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,4,5,7]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,1,4,7,5]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,1,5,4,7]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,1,5,7,4]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,1,7,4,5]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,1,7,5,4]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,1,5,7]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,1,7,5]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,5,1,7]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,5,7,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,7,1,5]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,4,7,5,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,1,4,7]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,1,7,4]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,4,1,7]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,4,7,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,7,1,4]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,5,7,4,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,7,1,4,5]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,7,1,5,4]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,7,4,1,5]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,7,4,5,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,7,5,1,4]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,2,7,5,4,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,1,2,5,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,2,7,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,5,2,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,5,7,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,7,2,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,7,5,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,2,1,5,7]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,2,1,7,5]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,2,5,1,7]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,2,5,7,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,2,7,1,5]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,2,7,5,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,5,1,2,7]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,5,1,7,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,5,2,1,7]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,5,2,7,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,5,7,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,5,7,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,7,1,2,5]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,7,1,5,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,7,2,1,5]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,7,2,5,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,4,7,5,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,7,5,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,1,2,4,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,1,2,7,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,1,4,2,7]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,1,4,7,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,1,7,2,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,1,7,4,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,2,1,4,7]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,2,1,7,4]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,2,4,1,7]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,2,4,7,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,2,7,1,4]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,2,7,4,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,4,1,2,7]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,4,1,7,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,4,2,1,7]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,4,2,7,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,4,7,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,4,7,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,7,1,2,4]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,7,1,4,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,7,2,1,4]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,7,2,4,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,5,7,4,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,7,4,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,1,2,4,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,1,2,5,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,1,4,2,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,1,4,5,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,1,5,2,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,1,5,4,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,2,1,4,5]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,2,1,5,4]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,2,4,1,5]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,2,4,5,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,2,5,1,4]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,2,5,4,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,4,1,2,5]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,4,1,5,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,4,2,1,5]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,4,2,5,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,4,5,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,4,5,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,5,1,2,4]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,5,1,4,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,5,2,1,4]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,5,2,4,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,6,7,5,4,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,7,5,4,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,1,2,4,5,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,2,4,6,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,2,5,4,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,2,5,6,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,2,6,4,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,2,6,5,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,4,2,5,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,4,2,6,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,4,5,2,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,4,5,6,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,4,6,2,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,4,6,5,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,5,2,4,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,5,2,6,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,5,4,2,6]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,5,4,6,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,5,6,2,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,5,6,4,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,6,2,4,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,6,2,5,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,6,4,2,5]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,6,4,5,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,6,5,2,4]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,2,1,4,5,6]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,1,4,6,5]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,1,5,4,6]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,1,5,6,4]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,1,6,4,5]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,1,6,5,4]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,4,1,5,6]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,4,1,6,5]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,4,5,1,6]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,4,5,6,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,4,6,1,5]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,4,6,5,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,5,1,4,6]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,5,1,6,4]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,5,4,1,6]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,5,4,6,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,5,6,1,4]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,5,6,4,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,6,1,4,5]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,6,4,1,5]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,6,4,5,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,6,5,1,4]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,2,6,5,4,1]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,1,2,5,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,1,2,6,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,1,5,2,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,1,5,6,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,1,6,2,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,1,6,5,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,2,1,5,6]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,2,1,6,5]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,2,5,1,6]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,2,5,6,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,2,6,1,5]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,2,6,5,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,5,1,2,6]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,5,1,6,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,5,2,1,6]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,5,2,6,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,5,6,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,5,6,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,6,1,2,5]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,6,1,5,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,6,2,1,5]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,6,2,5,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,6,5,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,6,5,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,1,2,4,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,1,2,6,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,1,4,2,6]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,1,4,6,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,1,6,2,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,1,6,4,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,2,1,4,6]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,2,1,6,4]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,2,4,1,6]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,2,4,6,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,2,6,1,4]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,2,6,4,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,4,1,2,6]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,4,1,6,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,4,2,1,6]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,4,2,6,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,4,6,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,4,6,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,6,1,2,4]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,6,1,4,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,6,2,1,4]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,6,2,4,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,6,4,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,6,4,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,1,2,4,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,1,2,5,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,1,4,2,5]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,1,4,5,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,1,5,2,4]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,2,1,4,5]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,2,4,1,5]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,2,4,5,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,2,5,1,4]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,2,5,4,1]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,4,1,2,5]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,4,1,5,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,4,2,1,5]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,4,2,5,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,4,5,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,4,5,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,5,1,2,4]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,5,2,4,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,6,5,4,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,3,5,7,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,3,6,5,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,3,6,7,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,3,7,5,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,3,7,6,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,3,6,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,3,7,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,6,3,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,6,7,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,7,3,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,5,7,6,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,3,5,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,3,7,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,5,3,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,5,7,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,7,3,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,7,5,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,7,3,5,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,7,3,6,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,7,5,3,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,7,5,6,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,7,6,3,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,7,6,5,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,5,6,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,5,7,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,6,5,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,6,7,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,7,5,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,2,7,6,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,2,6,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,2,7,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,6,2,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,6,7,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,7,2,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,5,7,6,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,2,5,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,2,7,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,5,2,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,5,7,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,7,2,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,7,5,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,7,2,5,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,7,2,6,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,7,5,2,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,7,5,6,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,7,6,2,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,7,6,5,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,3,6,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,3,7,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,6,3,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,6,7,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,7,3,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,2,7,6,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,2,6,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,2,7,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,6,2,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,6,7,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,7,2,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,3,7,6,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,2,3,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,2,7,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,3,2,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,3,7,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,7,2,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,6,7,3,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,7,2,3,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,7,2,6,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,7,3,2,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,7,3,6,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,7,6,2,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,5,7,6,3,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,3,5,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,3,7,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,5,3,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,5,7,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,7,3,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,2,7,5,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,2,5,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,2,7,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,5,2,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,5,7,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,7,2,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,7,5,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,2,3,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,2,7,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,3,2,7]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,3,7,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,7,2,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,5,7,3,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,7,2,3,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,7,2,5,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,7,3,2,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,7,3,5,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,7,5,2,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,7,5,3,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,2,3,5,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,2,3,6,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,2,5,3,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,2,5,6,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,2,6,3,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,2,6,5,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,3,2,5,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,3,2,6,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,3,5,2,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,3,5,6,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,3,6,2,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,3,6,5,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,5,2,3,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,5,2,6,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,5,3,2,6]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,5,3,6,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,5,6,2,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,5,6,3,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,6,2,3,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,6,2,5,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,6,3,2,5]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,6,3,5,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,6,5,2,3]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,3,5,7,6]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,3,6,5,7]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,3,6,7,5]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,3,7,5,6]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,3,7,6,5]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,3,6,7]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,3,7,6]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,6,3,7]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,6,7,3]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,7,3,6]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,5,7,6,3]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,3,5,7]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,3,7,5]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,5,3,7]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,5,7,3]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,7,3,5]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,6,7,5,3]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,7,3,5,6]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,7,3,6,5]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,7,5,3,6]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,7,5,6,3]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,7,6,3,5]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,1,7,6,5,3]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,5,7,6]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,6,5,7]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,6,7,5]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,7,5,6]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,7,6,5]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,1,7,6]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,6,7,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,7,1,6]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,7,6,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,1,5,7]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,1,7,5]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,5,1,7]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,5,7,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,7,1,5]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,7,5,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,7,1,5,6]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,7,1,6,5]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,7,5,1,6]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,7,5,6,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,7,6,1,5]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,7,6,5,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,3,6,7]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,3,7,6]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,6,3,7]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,6,7,3]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,7,3,6]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,7,6,3]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,1,6,7]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,1,7,6]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,6,1,7]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,6,7,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,7,1,6]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,7,6,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,1,3,7]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,1,7,3]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,3,1,7]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,3,7,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,7,1,3]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,7,3,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,7,1,3,6]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,7,1,6,3]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,7,3,1,6]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,7,3,6,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,7,6,1,3]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,7,6,3,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,3,5,7]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,3,7,5]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,5,3,7]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,5,7,3]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,7,3,5]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,7,5,3]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,1,5,7]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,1,7,5]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,5,1,7]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,5,7,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,7,1,5]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,7,5,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,1,3,7]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,1,7,3]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,3,1,7]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,3,7,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,7,1,3]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,7,3,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,7,1,3,5]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,7,1,5,3]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,7,3,1,5]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,7,3,5,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,7,5,1,3]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,7,5,3,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,1,3,5,6]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,1,3,6,5]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,1,5,3,6]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,1,5,6,3]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,1,6,3,5]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,3,1,5,6]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,3,1,6,5]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,3,5,1,6]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,3,5,6,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,3,6,1,5]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,3,6,5,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,5,1,3,6]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,5,1,6,3]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,5,3,1,6]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,5,3,6,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,5,6,1,3]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,5,6,3,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,6,1,3,5]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,6,1,5,3]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,6,3,1,5]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,6,3,5,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,6,5,1,3]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,2,5,7,6]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,2,6,5,7]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,2,6,7,5]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,2,7,5,6]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,2,7,6,5]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,2,6,7]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,2,7,6]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,6,2,7]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,6,7,2]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,7,2,6]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,5,7,6,2]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,2,5,7]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,2,7,5]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,5,2,7]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,5,7,2]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,7,2,5]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,6,7,5,2]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,7,2,5,6]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,7,2,6,5]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,7,5,2,6]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,7,5,6,2]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,7,6,2,5]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,1,7,6,5,2]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,5,7,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,6,5,7]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,1,6,7]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,1,7,6]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,6,1,7]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,6,7,1]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,7,1,6]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,7,6,1]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,1,5,7]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,1,7,5]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,5,1,7]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,5,7,1]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,7,1,5]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,7,5,1]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,7,1,5,6]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,7,1,6,5]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,7,5,1,6]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,7,5,6,1]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,7,6,1,5]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,7,6,5,1]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,1,2,7,6]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,1,6,2,7]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,1,6,7,2]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,1,7,2,6]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,1,7,6,2]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,2,1,6,7]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,2,1,7,6]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,2,6,1,7]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,2,6,7,1]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,2,7,1,6]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,2,7,6,1]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,6,1,7,2]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,6,2,7,1]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,6,7,2,1]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,7,1,2,6]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,7,1,6,2]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,7,2,1,6]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,7,2,6,1]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,5,7,6,1,2]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,7,6,2,1]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,1,2,5,7]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,1,2,7,5]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,1,5,2,7]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,1,5,7,2]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,1,7,2,5]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,1,7,5,2]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,2,1,5,7]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,2,1,7,5]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,2,5,1,7]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,2,5,7,1]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,2,7,1,5]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,2,7,5,1]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,5,1,2,7]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,5,1,7,2]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,5,2,1,7]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,5,2,7,1]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,5,7,1,2]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,5,7,2,1]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,7,1,2,5]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,7,1,5,2]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,7,2,1,5]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,7,2,5,1]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,6,7,5,1,2]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,7,5,2,1]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,1,2,5,6]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,1,2,6,5]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,1,5,2,6]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,1,5,6,2]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,1,6,2,5]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,2,1,5,6]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,2,5,1,6]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,2,5,6,1]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,2,6,5,1]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,5,1,2,6]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,5,1,6,2]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,5,2,1,6]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,5,2,6,1]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,5,6,1,2]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,5,6,2,1]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,6,1,2,5]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,6,1,5,2]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,6,2,5,1]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,2,3,7,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,2,6,3,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,2,6,7,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,2,7,3,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,2,7,6,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,2,6,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,2,7,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,6,2,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,6,7,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,7,2,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,7,6,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,2,3,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,2,7,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,3,2,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,3,7,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,7,2,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,7,3,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,2,3,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,2,6,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,3,2,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,3,6,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,6,2,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,6,3,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,1,3,7,6]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,1,6,3,7]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,1,6,7,3]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,1,7,3,6]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,1,7,6,3]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,1,7,6]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,6,7,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,7,1,6]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,3,7,6,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,1,3,7]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,1,7,3]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,3,1,7]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,3,7,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,7,1,3]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,7,3,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,7,1,3,6]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,7,1,6,3]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,7,3,1,6]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,7,3,6,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,7,6,1,3]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,7,6,3,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,2,7,6]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,6,2,7]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,6,7,2]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,7,2,6]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,7,6,2]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,2,1,6,7]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,2,1,7,6]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,2,6,7,1]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,2,7,1,6]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,2,7,6,1]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,6,1,7,2]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,6,2,7,1]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,6,7,2,1]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,7,1,2,6]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,7,1,6,2]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,7,2,1,6]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,7,2,6,1]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,3,7,6,1,2]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,7,6,2,1]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,2,7,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,3,2,7]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,3,7,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,7,2,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,7,3,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,2,1,7,3]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,2,3,7,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,2,7,1,3]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,2,7,3,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,6,3,1,7,2]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,6,3,2,7,1]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,6,3,7,2,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,7,1,3,2]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,7,2,3,1]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,6,7,3,2,1]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,7,1,2,3,6]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,1,2,6,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,1,3,2,6]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,1,3,6,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,1,6,2,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,1,6,3,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,2,1,3,6]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,2,1,6,3]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,2,3,1,6]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,2,3,6,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,2,6,1,3]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,2,6,3,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,3,1,2,6]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,7,3,1,6,2]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,7,3,2,1,6]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,7,3,2,6,1]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,7,3,6,1,2]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,7,3,6,2,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,7,6,1,2,3]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,6,1,3,2]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,6,2,1,3]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,6,2,3,1]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,6,3,1,2]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,7,6,3,2,1]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,3,5,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,2,3,7,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,2,5,3,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,2,5,7,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,2,7,3,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,2,7,5,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,2,5,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,2,7,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,5,2,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,5,7,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,7,2,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,7,5,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,2,3,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,2,7,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,3,2,7]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,3,7,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,7,2,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,7,3,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,2,3,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,2,5,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,3,2,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,3,5,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,5,2,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,5,3,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,2,1,3,5,7]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,1,3,7,5]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,1,5,3,7]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,1,5,7,3]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,1,7,3,5]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,1,7,5,3]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,1,5,7]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,1,7,5]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,5,1,7]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,5,7,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,7,1,5]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,3,7,5,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,1,3,7]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,1,7,3]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,3,1,7]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,3,7,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,7,1,3]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,5,7,3,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,7,1,3,5]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,7,1,5,3]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,7,3,1,5]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,7,3,5,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,7,5,1,3]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,2,7,5,3,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,3,1,2,5,7]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,2,7,5]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,5,2,7]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,5,7,2]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,7,2,5]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,7,5,2]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,2,1,5,7]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,2,1,7,5]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,2,5,1,7]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,2,5,7,1]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,2,7,1,5]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,2,7,5,1]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,5,1,2,7]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,5,1,7,2]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,5,2,1,7]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,5,2,7,1]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,5,7,1,2]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,5,7,2,1]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,7,1,2,5]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,7,1,5,2]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,7,2,1,5]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,7,2,5,1]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,3,7,5,1,2]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,7,5,2,1]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,5,1,2,3,7]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,2,7,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,3,2,7]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,3,7,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,7,2,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,7,3,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,2,1,3,7]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,2,1,7,3]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,2,3,1,7]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,2,3,7,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,2,7,1,3]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,2,7,3,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,3,1,2,7]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,5,3,1,7,2]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,5,3,2,1,7]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,5,3,2,7,1]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,5,3,7,1,2]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,5,3,7,2,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,5,7,1,2,3]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,7,1,3,2]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,7,2,1,3]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,7,2,3,1]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,5,7,3,1,2]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,5,7,3,2,1]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,7,1,2,3,5]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,1,2,5,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,1,3,2,5]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,1,3,5,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,1,5,2,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,1,5,3,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,2,1,3,5]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,2,1,5,3]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,2,3,1,5]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,2,3,5,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,2,5,1,3]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,2,5,3,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,3,1,2,5]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,7,3,1,5,2]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,7,3,2,1,5]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,7,3,2,5,1]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,7,3,5,1,2]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,7,3,5,2,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,7,5,1,2,3]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,5,1,3,2]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,5,2,1,3]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,5,2,3,1]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,5,3,1,2]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,7,5,3,2,1]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,1,2,3,5,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,2,3,6,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,2,5,3,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,2,5,6,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,2,6,3,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,2,6,5,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,3,2,5,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,3,2,6,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,3,5,2,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,3,5,6,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,3,6,2,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,3,6,5,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,5,2,3,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,5,2,6,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,5,3,2,6]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,5,3,6,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,5,6,2,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,5,6,3,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,6,2,3,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,6,2,5,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,6,3,2,5]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,6,3,5,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,6,5,2,3]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,2,1,3,5,6]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,1,3,6,5]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,1,5,3,6]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,1,5,6,3]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,1,6,3,5]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,3,1,5,6]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,3,1,6,5]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,3,5,1,6]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,3,5,6,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,3,6,1,5]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,3,6,5,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,5,1,3,6]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,5,1,6,3]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,5,3,1,6]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,5,3,6,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,5,6,1,3]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,5,6,3,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,6,1,3,5]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,6,3,1,5]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,6,3,5,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,3,1,2,5,6]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,1,2,6,5]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,1,5,2,6]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,1,5,6,2]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,1,6,2,5]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,2,1,5,6]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,2,5,1,6]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,2,5,6,1]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,5,1,2,6]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,5,1,6,2]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,5,2,1,6]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,5,2,6,1]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,5,6,1,2]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,5,6,2,1]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,6,1,2,5]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,5,1,2,3,6]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,1,2,6,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,1,3,2,6]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,1,3,6,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,1,6,2,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,1,6,3,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,2,1,3,6]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,2,1,6,3]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,2,3,1,6]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,2,3,6,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,2,6,1,3]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,2,6,3,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,3,1,2,6]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,5,3,1,6,2]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,5,3,2,1,6]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,5,3,2,6,1]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,5,3,6,1,2]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,5,3,6,2,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,5,6,1,2,3]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,6,1,3,2]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,6,2,1,3]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,6,2,3,1]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,6,3,1,2]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,5,6,3,2,1]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,6,1,2,3,5]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,1,2,5,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,1,3,2,5]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,1,3,5,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,1,5,2,3]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,2,1,3,5]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,2,1,5,3]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,2,3,1,5]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,2,3,5,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,2,5,1,3]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,3,1,2,5]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,6,3,1,5,2]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,6,3,2,5,1]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,6,3,5,1,2]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,6,3,5,2,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,6,5,1,2,3]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,5,2,1,3]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,5,2,3,1]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,5,3,1,2]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,3,4,7,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,3,6,4,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,3,6,7,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,3,7,4,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,3,7,6,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,3,6,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,3,7,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,6,3,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,6,7,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,7,3,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,7,6,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,3,4,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,3,7,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,4,3,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,4,7,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,7,3,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,7,4,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,7,3,4,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,7,3,6,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,7,4,3,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,7,4,6,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,7,6,3,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,7,6,4,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,4,6,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,4,7,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,6,4,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,6,7,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,7,4,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,2,7,6,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,2,6,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,2,7,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,6,2,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,6,7,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,7,2,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,7,6,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,4,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,7,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,4,2,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,4,7,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,7,2,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,7,4,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,2,4,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,2,6,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,4,2,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,4,6,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,6,2,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,6,4,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,3,6,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,3,7,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,6,3,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,6,7,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,7,3,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,2,7,6,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,2,6,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,2,7,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,6,2,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,6,7,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,7,2,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,3,7,6,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,2,3,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,2,7,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,3,2,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,3,7,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,7,2,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,6,7,3,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,7,2,3,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,7,2,6,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,7,3,2,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,7,3,6,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,7,6,2,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,4,7,6,3,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,3,4,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,3,7,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,4,3,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,4,7,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,7,3,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,2,7,4,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,2,4,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,2,7,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,4,2,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,4,7,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,7,2,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,3,7,4,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,2,3,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,2,7,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,3,2,7]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,3,7,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,7,2,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,4,7,3,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,7,2,3,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,7,2,4,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,7,3,2,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,7,3,4,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,7,4,2,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,6,7,4,3,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,2,3,4,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,2,3,6,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,2,4,3,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,2,4,6,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,2,6,3,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,2,6,4,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,3,2,4,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,3,2,6,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,3,4,2,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,3,4,6,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,3,6,2,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,3,6,4,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,4,2,3,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,4,2,6,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,4,3,2,6]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,4,3,6,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,4,6,2,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,4,6,3,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,6,2,3,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,6,2,4,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,6,3,2,4]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,6,3,4,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,6,4,2,3]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,6,4,3,2]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,3,4,7,6]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,3,6,4,7]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,3,6,7,4]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,3,7,4,6]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,3,7,6,4]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,3,6,7]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,3,7,6]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,6,3,7]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,6,7,3]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,7,3,6]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,4,7,6,3]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,3,4,7]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,3,7,4]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,4,3,7]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,4,7,3]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,7,3,4]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,6,7,4,3]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,7,3,4,6]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,7,3,6,4]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,7,4,3,6]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,7,4,6,3]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,7,6,3,4]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,4,7,6]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,6,4,7]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,6,7,4]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,7,4,6]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,7,6,4]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,1,7,6]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,6,7,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,7,1,6]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,7,6,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,1,4,7]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,1,7,4]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,4,1,7]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,4,7,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,7,1,4]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,7,4,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,7,1,4,6]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,7,1,6,4]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,7,4,1,6]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,7,4,6,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,7,6,1,4]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,7,6,4,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,3,6,7]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,3,7,6]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,6,3,7]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,6,7,3]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,7,3,6]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,7,6,3]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,1,6,7]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,1,7,6]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,6,1,7]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,6,7,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,7,1,6]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,7,6,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,1,3,7]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,1,7,3]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,3,1,7]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,3,7,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,7,1,3]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,7,3,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,7,1,3,6]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,7,1,6,3]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,7,3,1,6]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,7,3,6,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,7,6,1,3]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,7,6,3,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,3,4,7]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,3,7,4]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,4,3,7]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,4,7,3]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,7,3,4]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,7,4,3]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,1,4,7]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,1,7,4]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,4,1,7]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,4,7,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,7,1,4]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,7,4,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,1,3,7]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,1,7,3]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,3,1,7]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,3,7,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,7,1,3]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,7,3,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,7,1,3,4]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,7,1,4,3]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,7,3,1,4]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,7,3,4,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,7,4,1,3]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,7,4,3,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,1,3,4,6]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,1,3,6,4]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,1,4,3,6]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,1,4,6,3]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,1,6,3,4]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,3,1,4,6]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,3,1,6,4]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,3,4,1,6]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,3,4,6,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,3,6,1,4]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,3,6,4,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,4,1,3,6]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,4,1,6,3]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,4,3,1,6]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,4,3,6,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,4,6,1,3]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,4,6,3,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,6,1,3,4]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,6,3,1,4]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,6,3,4,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,6,4,1,3]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,2,4,7,6]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,2,6,4,7]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,2,6,7,4]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,2,7,4,6]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,2,7,6,4]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,2,6,7]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,2,7,6]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,6,2,7]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,6,7,2]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,7,2,6]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,4,7,6,2]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,2,4,7]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,2,7,4]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,4,2,7]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,4,7,2]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,7,2,4]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,6,7,4,2]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,7,2,4,6]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,7,2,6,4]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,7,4,2,6]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,7,4,6,2]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,7,6,2,4]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,2,1,4,6,7]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,1,4,7,6]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,1,6,4,7]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,1,6,7,4]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,1,7,4,6]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,1,7,6]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,6,1,7]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,6,7,1]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,7,1,6]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,7,6,1]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,1,4,7]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,1,7,4]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,4,1,7]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,4,7,1]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,7,1,4]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,7,4,1]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,7,1,4,6]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,7,4,1,6]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,7,4,6,1]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,7,6,1,4]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,1,2,7,6]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,1,6,2,7]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,1,6,7,2]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,1,7,2,6]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,1,7,6,2]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,2,1,6,7]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,2,1,7,6]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,2,6,7,1]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,2,7,1,6]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,2,7,6,1]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,6,1,7,2]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,6,2,7,1]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,6,7,2,1]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,7,1,2,6]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,7,1,6,2]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,7,2,1,6]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,7,2,6,1]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,7,6,1,2]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,4,7,6,2,1]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,1,2,4,7]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,1,2,7,4]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,1,4,2,7]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,1,4,7,2]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,1,7,2,4]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,1,7,4,2]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,2,1,4,7]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,2,1,7,4]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,2,4,1,7]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,2,4,7,1]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,2,7,1,4]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,2,7,4,1]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,4,1,2,7]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,4,1,7,2]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,4,2,1,7]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,4,2,7,1]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,4,7,1,2]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,4,7,2,1]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,7,1,2,4]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,7,1,4,2]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,7,2,1,4]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,7,2,4,1]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,7,4,1,2]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,6,7,4,2,1]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,1,2,4,6]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,1,2,6,4]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,1,4,2,6]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,1,4,6,2]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,1,6,2,4]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,2,1,4,6]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,2,4,1,6]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,2,4,6,1]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,4,1,2,6]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,4,1,6,2]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,4,2,1,6]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,4,2,6,1]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,4,6,1,2]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,4,6,2,1]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,6,1,2,4]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,6,2,1,4]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,7,6,4,1,2]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,2,3,7,6]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,2,6,3,7]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,2,6,7,3]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,2,7,3,6]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,2,7,6,3]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,2,6,7]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,2,7,6]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,6,2,7]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,6,7,2]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,7,2,6]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,3,7,6,2]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,2,3,7]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,2,7,3]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,3,2,7]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,3,7,2]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,7,2,3]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,6,7,3,2]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,7,2,3,6]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,7,2,6,3]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,7,3,2,6]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,7,3,6,2]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,7,6,2,3]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,1,7,6,3,2]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,2,1,3,6,7]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,1,3,7,6]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,1,6,3,7]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,1,6,7,3]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,1,7,3,6]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,1,6,7]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,1,7,6]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,6,7,1]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,7,1,6]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,3,7,6,1]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,1,3,7]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,1,7,3]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,3,1,7]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,3,7,1]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,7,1,3]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,6,7,3,1]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,7,1,3,6]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,7,3,1,6]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,7,3,6,1]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,2,7,6,3,1]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,3,1,2,6,7]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,1,2,7,6]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,1,6,2,7]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,1,6,7,2]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,1,7,2,6]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,6,1,7]=>[5,4,3,2,7,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,6,7,1]=>[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,6,1,7,2]=>[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,6,2,7,1]=>[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,6,7,2,1]=>[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,7,1,2,6]=>[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,7,2,1,6]=>[5,4,3,7,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,7,2,6,1]=>[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,7,6,1,2]=>[5,4,3,7,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,3,7,6,2,1]=>[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,1,2,7,3]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,1,3,2,7]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,1,3,7,2]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,1,7,2,3]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,1,7,3,2]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,1,7,3]=>[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,3,7,1]=>[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,7,1,3]=>[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,7,3,1]=>[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,6,3,1,7,2]=>[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,6,3,2,7,1]=>[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,6,3,7,2,1]=>[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,7,1,3,2]=>[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,7,2,3,1]=>[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,6,7,3,2,1]=>[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,7,1,2,3,6]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,1,2,6,3]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,1,3,2,6]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,1,3,6,2]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,1,6,2,3]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,2,1,3,6]=>[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,2,3,1,6]=>[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,2,3,6,1]=>[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,3,1,2,6]=>[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,7,3,2,1,6]=>[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,7,3,2,6,1]=>[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,7,3,6,2,1]=>[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,7,6,1,2,3]=>[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,6,1,3,2]=>[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,6,2,3,1]=>[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,7,6,3,1,2]=>[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,2,3,7,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,2,4,3,7]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,2,4,7,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,2,7,3,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,2,7,4,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,2,4,7]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,2,7,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,4,2,7]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,4,7,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,7,2,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,3,7,4,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,2,3,7]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,2,7,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,3,2,7]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,3,7,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,7,2,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,4,7,3,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,7,2,3,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,7,2,4,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,7,3,2,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,7,3,4,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,7,4,2,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,1,7,4,3,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,1,3,7,4]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,1,4,3,7]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,1,4,7,3]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,1,7,3,4]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,1,7,4,3]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,1,7,4]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,4,7,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,7,1,4]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,7,4,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,1,3,7]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,1,7,3]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,3,1,7]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,3,7,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,7,1,3]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,4,7,3,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,7,1,3,4]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,7,1,4,3]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,7,3,1,4]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,7,3,4,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,7,4,1,3]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,7,4,3,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,1,2,7,4]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,1,4,2,7]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,1,4,7,2]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,1,7,2,4]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,1,7,4,2]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,2,1,7,4]=>[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,2,4,7,1]=>[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,2,7,1,4]=>[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,2,7,4,1]=>[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,4,1,7,2]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,4,2,7,1]=>[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,4,7,2,1]=>[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,7,1,2,4]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,7,1,4,2]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,7,2,1,4]=>[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,7,2,4,1]=>[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,7,4,1,2]=>[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,7,4,2,1]=>[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,1,2,7,3]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,1,3,2,7]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,1,3,7,2]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,1,7,2,3]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,1,7,3,2]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,2,1,7,3]=>[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,2,3,7,1]=>[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,2,7,1,3]=>[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,2,7,3,1]=>[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,3,1,7,2]=>[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,6,4,3,2,7,1]=>[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,3,7,2,1]=>[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,7,1,3,2]=>[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,7,2,3,1]=>[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,7,3,2,1]=>[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,7,1,2,4,3]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,7,1,3,2,4]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,7,1,3,4,2]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,7,1,4,2,3]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,7,1,4,3,2]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,7,2,1,4,3]=>[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,7,2,3,4,1]=>[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,7,2,4,1,3]=>[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,7,2,4,3,1]=>[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,7,3,1,4,2]=>[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,7,3,2,4,1]=>[5,7,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,7,3,4,2,1]=>[5,7,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,7,4,1,3,2]=>[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,7,4,2,1,3]=>[5,7,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,7,4,2,3,1]=>[5,7,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,7,4,3,2,1]=>[5,7,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,7,1,2,3,4,6]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,2,3,6,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,2,4,3,6]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,2,4,6,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,2,6,3,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,2,6,4,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,2,4,6]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,2,6,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,4,2,6]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,4,6,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,6,2,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,6,4,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,4,2,3,6]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,4,2,6,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,4,3,2,6]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,4,3,6,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,4,6,2,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,4,6,3,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,6,2,3,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,6,2,4,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,6,3,2,4]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,6,3,4,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,6,4,2,3]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,2,1,3,4,6]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,1,3,6,4]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,1,4,3,6]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,1,4,6,3]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,1,6,3,4]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,3,1,4,6]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,3,1,6,4]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,3,4,1,6]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,3,4,6,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,3,6,1,4]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,3,6,4,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,4,1,3,6]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,4,1,6,3]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,4,3,1,6]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,4,3,6,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,4,6,1,3]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,4,6,3,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,6,1,3,4]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,6,3,1,4]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,6,3,4,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,6,4,1,3]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,2,6,4,3,1]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,3,1,2,4,6]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,1,2,6,4]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,1,4,2,6]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,1,4,6,2]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,1,6,2,4]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,2,1,4,6]=>[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,2,4,1,6]=>[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,2,4,6,1]=>[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,2,6,4,1]=>[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,4,1,2,6]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,4,1,6,2]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,4,2,1,6]=>[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,4,2,6,1]=>[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,4,6,1,2]=>[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,4,6,2,1]=>[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,6,1,2,4]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,6,2,1,4]=>[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,3,6,4,1,2]=>[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,4,1,2,3,6]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,1,2,6,3]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,1,3,2,6]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,1,3,6,2]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,1,6,2,3]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,2,1,3,6]=>[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,2,3,1,6]=>[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,2,3,6,1]=>[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,3,1,2,6]=>[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,7,4,6,1,2,3]=>[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,4,6,2,1,3]=>[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,4,6,3,1,2]=>[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,7,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,7,6,1,2,3,4]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,6,1,2,4,3]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,6,1,3,2,4]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,6,1,3,4,2]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,6,1,4,2,3]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,6,2,1,3,4]=>[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,6,2,3,1,4]=>[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,6,2,3,4,1]=>[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,6,3,1,2,4]=>[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,6,4,1,2,3]=>[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,3,4,7,5]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,3,5,4,7]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,3,5,7,4]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,3,7,4,5]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,3,7,5,4]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,3,5,7]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,3,7,5]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,5,3,7]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,5,7,3]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,7,3,5]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,4,7,5,3]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,3,4,7]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,3,7,4]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,4,3,7]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,4,7,3]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,7,3,4]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,5,7,4,3]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
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[6,2,3,1,5,4,7]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,5,7,4]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,7,4,5]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,7,5,4]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,1,7,5]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,5,7,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,7,1,5]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,7,5,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,1,4,7]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,1,7,4]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,4,1,7]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,4,7,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,7,1,4]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,7,4,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,7,1,4,5]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,7,1,5,4]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,7,4,1,5]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,7,4,5,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,7,5,1,4]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,7,5,4,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,3,5,7]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,3,7,5]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,5,3,7]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,5,7,3]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,7,3,5]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,7,5,3]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,1,5,7]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,1,7,5]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,5,1,7]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,5,7,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,7,1,5]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,7,5,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,1,3,7]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,1,7,3]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,3,1,7]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,3,7,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,7,1,3]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,7,3,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,7,1,3,5]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,7,1,5,3]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,7,3,1,5]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,7,3,5,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,7,5,1,3]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,7,5,3,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,3,4,7]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,3,7,4]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,4,3,7]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,4,7,3]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,7,3,4]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,7,4,3]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,1,4,7]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,1,7,4]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,4,1,7]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,4,7,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,7,1,4]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,7,4,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,1,3,7]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,1,7,3]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,3,1,7]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,3,7,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,7,1,3]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,7,3,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,7,1,3,4]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,7,1,4,3]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,7,3,1,4]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,7,3,4,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,7,4,1,3]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,7,4,3,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,1,3,4,5]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,1,3,5,4]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,1,4,3,5]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,1,4,5,3]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,1,5,3,4]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,1,5,4,3]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,3,1,4,5]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,3,1,5,4]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,3,4,1,5]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,3,4,5,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,3,5,1,4]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,3,5,4,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,4,1,3,5]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,4,1,5,3]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,4,3,1,5]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,4,3,5,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,4,5,1,3]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,4,5,3,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,5,1,3,4]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,5,3,1,4]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,5,3,4,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,2,4,7,5]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,2,5,4,7]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,2,5,7,4]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,2,7,4,5]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,2,7,5,4]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,2,5,7]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,2,7,5]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,5,2,7]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,5,7,2]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,7,2,5]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,4,7,5,2]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,2,4,7]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,2,7,4]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,4,2,7]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,4,7,2]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,7,2,4]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,7,4,2]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,7,2,4,5]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,7,2,5,4]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,7,4,2,5]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,7,4,5,2]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,7,5,2,4]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,2,1,4,5,7]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,1,4,7,5]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,1,5,4,7]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,1,5,7,4]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,1,7,4,5]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,1,5,7]=>[6,3,2,7,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,1,7,5]=>[6,3,2,7,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,5,7,1]=>[6,3,2,7,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,7,1,5]=>[6,3,2,7,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
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[6,4,2,7,3,1,5]=>[6,4,2,7,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,7,3,5,1]=>[6,4,2,7,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,2,7,5,3,1]=>[6,4,2,7,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,1,2,7,5]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,1,5,2,7]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,1,5,7,2]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,1,7,2,5]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,2,1,5,7]=>[6,4,3,2,1,7,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
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[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,2,7,5,1]=>[6,4,3,2,7,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,5,1,7,2]=>[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,5,2,7,1]=>[6,4,3,7,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,5,7,2,1]=>[6,4,3,7,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,7,1,2,5]=>[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,3,7,2,1,5]=>[6,4,3,7,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
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[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,1,2,7,3]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,1,3,2,7]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,1,3,7,2]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,1,7,2,3]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,1,7,3,2]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,2,1,7,3]=>[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,2,3,7,1]=>[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,2,7,1,3]=>[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,2,7,3,1]=>[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,5,3,1,7,2]=>[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,5,3,2,7,1]=>[6,4,7,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,5,3,7,2,1]=>[6,4,7,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,7,1,3,2]=>[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,7,2,3,1]=>[6,4,7,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,5,7,3,2,1]=>[6,4,7,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,7,1,2,3,5]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,1,2,5,3]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,1,3,2,5]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,1,3,5,2]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,1,5,2,3]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,2,1,3,5]=>[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,2,1,5,3]=>[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,2,3,1,5]=>[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,2,3,5,1]=>[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,3,1,2,5]=>[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,7,3,2,1,5]=>[6,4,7,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,7,3,2,5,1]=>[6,4,7,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,7,3,5,2,1]=>[6,4,7,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,7,5,1,2,3]=>[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,5,1,3,2]=>[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,7,5,2,1,3]=>[6,4,7,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,5,2,3,1]=>[6,4,7,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,7,5,3,1,2]=>[6,4,7,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
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[6,5,1,2,4,3,7]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,1,2,4,7,3]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,1,2,7,3,4]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,1,2,7,4,3]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,1,3,2,4,7]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
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[6,5,1,3,4,2,7]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,1,3,4,7,2]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
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[6,5,1,3,7,4,2]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
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[6,5,1,4,3,2,7]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
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[6,5,1,4,7,2,3]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,1,4,7,3,2]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
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[6,5,2,1,4,3,7]=>[6,5,2,1,7,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
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[6,5,2,1,7,4,3]=>[6,5,2,1,7,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
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[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,1,2,7,4]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,1,4,2,7]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,1,4,7,2]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,1,7,2,4]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
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[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
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[6,5,7,1,3,4,2]=>[6,5,7,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,7,1,4,2,3]=>[6,5,7,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
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[6,5,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,7,2,3,4,1]=>[6,5,7,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,7,2,4,3,1]=>[6,5,7,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,7,3,4,2,1]=>[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,7,4,1,2,3]=>[6,5,7,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]
[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,2,3,5,4]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
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[6,7,1,2,4,5,3]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,2,5,3,4]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,2,5,4,3]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,3,2,4,5]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
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[6,7,1,3,4,5,2]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
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[6,7,1,4,2,3,5]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
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[6,7,1,4,3,2,5]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,4,3,5,2]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,4,5,2,3]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,4,5,3,2]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,5,2,3,4]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,5,2,4,3]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,5,3,2,4]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,5,3,4,2]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,5,4,2,3]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,7,1,5,4,3,2]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
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[6,7,2,1,4,3,5]=>[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,1,4,5,3]=>[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,1,5,3,4]=>[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,3,1,5,4]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
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[6,7,2,3,5,1,4]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,3,5,4,1]=>[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,4,1,3,5]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,4,1,5,3]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,4,3,1,5]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,4,3,5,1]=>[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,4,5,1,3]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,4,5,3,1]=>[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,5,1,3,4]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,5,3,1,4]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,5,3,4,1]=>[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,5,4,1,3]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,1,2,5,4]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,1,4,2,5]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,1,4,5,2]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,1,5,2,4]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,1,5,4,2]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,2,4,5,1]=>[6,7,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,2,5,4,1]=>[6,7,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,4,1,5,2]=>[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,4,2,5,1]=>[6,7,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,4,5,2,1]=>[6,7,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,7,3,5,1,2,4]=>[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,7,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
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[6,7,4,1,2,5,3]=>[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,7,4,1,3,2,5]=>[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
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[6,7,4,1,5,2,3]=>[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,7,4,1,5,3,2]=>[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,2,1,5,3]=>[6,7,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,2,3,5,1]=>[6,7,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,2,5,1,3]=>[6,7,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,2,5,3,1]=>[6,7,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,7,4,3,1,5,2]=>[6,7,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[6,7,4,3,2,5,1]=>[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
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[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
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[6,7,5,1,2,4,3]=>[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,7,5,1,3,2,4]=>[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,7,5,1,3,4,2]=>[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[6,7,5,1,4,2,3]=>[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
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[6,7,5,2,4,1,3]=>[6,7,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[6,7,5,2,4,3,1]=>[6,7,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,7,5,3,1,4,2]=>[6,7,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
[6,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]
[6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[6,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]
[6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
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[7,1,2,3,4,6,5]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[7,1,2,3,5,4,6]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[7,1,2,3,5,6,4]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[7,1,2,3,6,4,5]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[7,1,2,3,6,5,4]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[7,1,2,4,5,3,6]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[7,2,5,3,1,6,4]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,3,4,1,6]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,3,4,6,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,3,6,1,4]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,3,6,4,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,4,1,3,6]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,4,1,6,3]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,4,3,1,6]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,4,3,6,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,4,6,1,3]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,4,6,3,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,6,1,3,4]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,6,1,4,3]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,6,3,1,4]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,6,3,4,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,6,4,1,3]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,5,6,4,3,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,1,3,4,5]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,1,3,5,4]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,1,4,3,5]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,1,4,5,3]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,1,5,3,4]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,3,1,4,5]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,3,1,5,4]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,3,4,1,5]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,3,4,5,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,3,5,1,4]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,3,5,4,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,4,1,3,5]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,4,1,5,3]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,4,3,1,5]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,4,3,5,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,4,5,1,3]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,4,5,3,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,5,1,3,4]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,5,3,1,4]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,5,3,4,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,5,4,1,3]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,2,4,6,5]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,2,5,4,6]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,2,5,6,4]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,2,6,4,5]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,2,6,5,4]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,4,2,5,6]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,4,2,6,5]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,4,5,2,6]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,4,5,6,2]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,4,6,2,5]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,4,6,5,2]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,5,2,4,6]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,5,2,6,4]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,5,4,2,6]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,5,4,6,2]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,5,6,2,4]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,5,6,4,2]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,6,2,4,5]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,6,2,5,4]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,6,4,2,5]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,6,4,5,2]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,6,5,2,4]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,1,4,6,5]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,1,5,4,6]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,1,5,6,4]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,1,6,4,5]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,4,1,6,5]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,4,6,1,5]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,4,6,5,1]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,5,1,4,6]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,5,1,6,4]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,5,4,1,6]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,5,4,6,1]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,5,6,1,4]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,5,6,4,1]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,6,1,4,5]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,6,4,1,5]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,6,4,5,1]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,6,5,1,4]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,1,2,6,5]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,1,5,2,6]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,1,5,6,2]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,1,6,2,5]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,1,6,5,2]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,2,1,6,5]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,2,5,6,1]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,2,6,1,5]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,2,6,5,1]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,5,1,6,2]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,5,2,6,1]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,5,6,2,1]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,6,1,2,5]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,6,1,5,2]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,6,2,1,5]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,6,2,5,1]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,6,5,1,2]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,6,5,2,1]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,1,2,4,6]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,1,2,6,4]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,1,4,2,6]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,1,4,6,2]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,1,6,2,4]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,1,6,4,2]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,2,1,4,6]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,2,1,6,4]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,2,4,1,6]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,2,4,6,1]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,2,6,1,4]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,2,6,4,1]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,4,1,2,6]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,4,1,6,2]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,4,2,1,6]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,4,2,6,1]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,4,6,1,2]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,4,6,2,1]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,6,1,2,4]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,6,1,4,2]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,6,2,1,4]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,6,2,4,1]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,6,4,1,2]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,6,4,2,1]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,1,2,4,5]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,1,2,5,4]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,1,4,2,5]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,1,4,5,2]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,1,5,2,4]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,2,1,4,5]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,2,4,1,5]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,2,4,5,1]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,4,1,2,5]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,4,1,5,2]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,4,2,1,5]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,4,2,5,1]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,4,5,1,2]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,4,5,2,1]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,5,1,2,4]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,5,1,4,2]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,5,2,4,1]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,2,3,6,5]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,2,5,3,6]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,2,5,6,3]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,2,6,3,5]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,2,6,5,3]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,3,2,5,6]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,3,2,6,5]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,3,5,2,6]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,3,5,6,2]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,3,6,2,5]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,3,6,5,2]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,5,2,3,6]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,5,2,6,3]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,5,3,2,6]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,5,3,6,2]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,5,6,2,3]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,5,6,3,2]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,6,2,3,5]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,6,2,5,3]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,6,3,2,5]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,6,3,5,2]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,6,5,2,3]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,1,3,6,5]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,1,5,3,6]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,1,5,6,3]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,1,6,3,5]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,1,6,5,3]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,3,1,6,5]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,3,6,1,5]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,3,6,5,1]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,5,1,3,6]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,5,1,6,3]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,5,3,1,6]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,5,3,6,1]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,5,6,1,3]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,5,6,3,1]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,6,1,3,5]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,6,3,1,5]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,6,3,5,1]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,1,2,6,5]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,1,5,2,6]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,1,5,6,2]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,1,6,2,5]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,1,6,5,2]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,5,1,6,2]=>[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,5,6,2,1]=>[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,6,1,2,5]=>[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,1,2,6,3]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,1,3,2,6]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,1,3,6,2]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,1,6,2,3]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,1,6,3,2]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,2,1,6,3]=>[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,2,6,1,3]=>[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,2,6,3,1]=>[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,5,3,1,6,2]=>[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,6,1,3,2]=>[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,6,1,2,3,5]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,1,2,5,3]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,1,3,2,5]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,1,3,5,2]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,1,5,2,3]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,2,1,3,5]=>[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,2,1,5,3]=>[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,2,3,1,5]=>[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,2,3,5,1]=>[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,3,1,2,5]=>[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,6,3,1,5,2]=>[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,6,3,2,5,1]=>[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,6,3,5,2,1]=>[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,6,5,1,2,3]=>[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,5,2,1,3]=>[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,5,3,1,2]=>[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,2,3,6,4]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,2,4,3,6]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,2,4,6,3]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,2,6,3,4]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,2,6,4,3]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,2,4,6]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,2,6,4]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,4,2,6]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,4,6,2]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,6,2,4]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,6,4,2]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,4,2,3,6]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,4,2,6,3]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,4,3,2,6]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,4,3,6,2]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,4,6,2,3]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,4,6,3,2]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,6,2,3,4]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,6,2,4,3]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,6,3,2,4]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,6,3,4,2]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,6,4,2,3]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,6,4,3,2]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,1,3,6,4]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,1,4,3,6]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,1,4,6,3]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,1,6,3,4]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,1,6,4,3]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,3,1,6,4]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,3,6,1,4]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,3,6,4,1]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,4,1,3,6]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,4,1,6,3]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,4,3,1,6]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,4,3,6,1]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,4,6,1,3]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,4,6,3,1]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,6,1,3,4]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,6,1,4,3]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,6,3,1,4]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,6,3,4,1]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,6,4,1,3]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,1,2,6,4]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,1,4,2,6]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,1,4,6,2]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,1,6,2,4]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,1,6,4,2]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,2,1,6,4]=>[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,4,1,6,2]=>[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,6,1,2,4]=>[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,6,1,4,2]=>[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,3,6,4,1,2]=>[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,3,6,4,2,1]=>[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,1,2,6,3]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,1,3,2,6]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,1,3,6,2]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,1,6,2,3]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,2,1,6,3]=>[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,2,6,3,1]=>[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[7,5,4,3,1,6,2]=>[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,6,1,3,2]=>[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,6,1,2,4,3]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,6,1,3,2,4]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,6,1,3,4,2]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,6,1,4,2,3]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,6,2,4,3,1]=>[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,6,3,1,4,2]=>[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[7,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,2,3,5,4]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,2,4,3,5]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,2,4,5,3]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,2,5,3,4]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,2,5,4,3]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,3,2,4,5]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,3,2,5,4]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,3,4,2,5]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,3,4,5,2]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,3,5,2,4]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,3,5,4,2]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,4,2,3,5]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,4,2,5,3]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,4,3,2,5]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,4,3,5,2]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,4,5,2,3]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,4,5,3,2]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,5,2,3,4]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,5,2,4,3]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,5,3,2,4]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,5,3,4,2]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,5,4,2,3]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,1,3,5,4]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,1,4,3,5]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,1,4,5,3]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,1,5,3,4]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,3,1,5,4]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,3,5,1,4]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,3,5,4,1]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,4,1,3,5]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,4,1,5,3]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,4,3,1,5]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,4,3,5,1]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,4,5,1,3]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,4,5,3,1]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,5,1,3,4]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,5,3,1,4]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,5,3,4,1]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,1,2,5,4]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,1,4,2,5]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,1,4,5,2]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,1,5,2,4]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,1,5,4,2]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,4,1,5,2]=>[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,5,1,2,4]=>[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,3,5,4,1,2]=>[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,1,2,5,3]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,1,3,2,5]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,1,3,5,2]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,1,5,2,3]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,1,5,3,2]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,2,1,5,3]=>[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,2,5,1,3]=>[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,2,5,3,1]=>[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[7,6,4,3,1,5,2]=>[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,5,1,3,2]=>[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[7,6,5,1,2,4,3]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[7,6,5,1,3,2,4]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[7,6,5,1,3,4,2]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[7,6,5,1,4,2,3]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]
[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]
[7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]
[7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]
[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,8,5,6,4,3,2,1]=>[7,8,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,5,6,8,4,3,2,1]=>[7,5,8,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,7,8,4,3,2,1]=>[6,5,8,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,7,8,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[8,7,6,4,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,8,6,4,5,3,2,1]=>[7,8,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[8,6,7,4,5,3,2,1]=>[8,6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[8,6,4,5,7,3,2,1]=>[8,6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[8,5,4,6,7,3,2,1]=>[8,5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,7,4,5,8,3,2,1]=>[6,8,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,6,7,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,7,6,5,3,4,2,1]=>[8,7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,8,6,5,3,4,2,1]=>[7,8,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[8,6,7,5,3,4,2,1]=>[8,6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,6,7,8,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,5,4,3,6,2,1]=>[8,7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[8,7,4,3,5,6,2,1]=>[8,7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[8,7,3,4,5,6,2,1]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,5,3,4,6,7,2,1]=>[8,5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,5,6,4,3,8,2,1]=>[7,5,8,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,5,7,4,3,8,2,1]=>[6,5,8,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,7,4,3,8,2,1]=>[5,8,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,6,3,7,8,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,8,6,5,4,2,3,1]=>[7,8,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[8,7,5,6,4,2,3,1]=>[8,7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,6,7,8,4,2,3,1]=>[5,8,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,7,6,4,5,2,3,1]=>[8,7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,5,6,4,7,2,3,1]=>[8,5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,7,6,5,3,2,4,1]=>[8,7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[6,7,8,5,3,2,4,1]=>[6,8,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,7,8,3,2,4,1]=>[5,8,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,6,5,2,3,4,1]=>[8,7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,8,5,2,3,4,1]=>[7,6,8,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[8,5,6,7,2,3,4,1]=>[8,5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,8,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,7,6,3,4,2,5,1]=>[8,7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[8,6,7,3,4,2,5,1]=>[8,6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,7,6,3,2,4,5,1]=>[8,7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,8,2,3,4,5,1]=>[6,8,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,7,4,3,5,2,6,1]=>[8,7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,8,4,2,3,5,6,1]=>[7,8,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,5,6,4,3,2,7,1]=>[8,5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[8,5,6,3,4,2,7,1]=>[8,5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,6,4,3,5,2,7,1]=>[8,6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[8,6,3,4,5,2,7,1]=>[8,6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,4,5,3,6,2,7,1]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,6,5,4,2,3,7,1]=>[8,6,5,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[8,5,6,4,2,3,7,1]=>[8,5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,5,4,3,2,6,7,1]=>[8,5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[8,5,3,4,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,4,5,2,3,6,7,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,3,2,4,5,6,7,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,5,6,3,4,2,8,1]=>[7,5,8,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,5,6,3,7,2,8,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,4,7,2,8,1]=>[6,5,3,8,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,7,4,2,3,8,1]=>[6,5,8,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,6,7,4,2,3,8,1]=>[5,8,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,7,4,5,2,3,8,1]=>[6,8,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,5,4,7,2,3,8,1]=>[6,5,4,8,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,4,6,7,2,3,8,1]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,6,7,2,3,8,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,3,2,4,5,8,1]=>[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,6,3,2,7,8,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,6,2,7,8,1]=>[5,4,3,8,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,6,2,3,7,8,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,2,3,4,7,8,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,4,5,7,8,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,4,3,2,6,7,8,1]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,4,2,6,7,8,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,5,6,7,8,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,5,6,7,8,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,3,5,6,7,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[8,6,7,5,4,3,1,2]=>[8,6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[8,7,5,6,4,3,1,2]=>[8,7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[5,6,7,8,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[8,7,6,4,5,3,1,2]=>[8,7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,8,6,4,5,3,1,2]=>[7,8,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,6,5,8,3,4,1,2]=>[7,6,5,8,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[6,7,5,8,3,4,1,2]=>[6,8,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,5,7,8,3,4,1,2]=>[6,5,8,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,6,7,8,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,8,5,4,3,6,1,2]=>[7,8,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,8,4,5,3,6,1,2]=>[7,8,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[8,7,4,3,5,6,1,2]=>[8,7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,8,4,3,5,6,1,2]=>[7,8,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,8,3,4,5,6,1,2]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,5,4,6,3,7,1,2]=>[8,5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,5,6,4,3,8,1,2]=>[7,5,8,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[5,6,7,4,3,8,1,2]=>[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,4,5,3,8,1,2]=>[6,8,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,4,7,3,8,1,2]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,6,3,7,8,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,3,4,7,8,1,2]=>[6,5,3,8,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,4,3,6,7,8,1,2]=>[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,3,5,6,7,8,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,5,6,7,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]
[5,6,7,8,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]
[6,7,8,5,4,1,2,3]=>[6,8,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[8,6,5,7,4,1,2,3]=>[8,6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,6,7,8,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[8,5,6,4,7,1,2,3]=>[8,5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,4,5,6,7,1,2,3]=>[8,4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,7,6,5,3,2,1,4]=>[8,7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,8,5,6,3,2,1,4]=>[7,8,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[5,6,7,8,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,6,5,2,3,1,4]=>[8,7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[8,7,5,6,2,3,1,4]=>[8,7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,8,5,6,2,3,1,4]=>[7,8,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,5,8,2,3,1,4]=>[6,8,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,5,6,8,2,3,1,4]=>[7,5,8,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,6,7,8,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,7,6,5,3,1,2,4]=>[8,7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[6,7,5,8,3,1,2,4]=>[6,8,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,6,7,8,3,1,2,4]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,7,6,5,2,1,3,4]=>[8,7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,8,5,6,2,1,3,4]=>[7,8,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,8,2,1,3,4]=>[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,6,7,8,2,1,3,4]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,7,6,5,1,2,3,4]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,8,5,6,1,2,3,4]=>[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,6,5,8,1,2,3,4]=>[7,6,5,8,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,5,6,8,1,2,3,4]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,6,7,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[8,7,6,4,3,2,1,5]=>[8,7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,8,3,2,4,1,5]=>[6,8,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,7,6,3,4,1,2,5]=>[8,7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[8,6,7,3,4,1,2,5]=>[8,6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[8,6,7,2,3,1,4,5]=>[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,7,6,1,2,3,4,5]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,8,5,4,3,2,1,6]=>[7,8,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,8,3,4,5,2,1,6]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,4,5,2,3,1,6]=>[7,8,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,8,3,4,2,5,1,6]=>[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,7,4,5,1,2,3,6]=>[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,8,4,3,2,1,5,6]=>[7,8,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,8,3,4,2,1,5,6]=>[7,8,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,4,2,3,1,5,6]=>[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,7,4,1,2,3,5,6]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,8,3,2,1,4,5,6]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,7,2,3,1,4,5,6]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,8,1,2,3,4,5,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,6,5,4,3,2,1,7]=>[8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[8,5,6,4,2,3,1,7]=>[8,5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,6,4,5,2,3,1,7]=>[8,6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,5,4,2,3,6,1,7]=>[8,5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,3,2,4,5,6,1,7]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,6,5,4,3,1,2,7]=>[8,6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[8,6,4,5,3,1,2,7]=>[8,6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[8,5,6,3,4,1,2,7]=>[8,5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,4,5,3,6,1,2,7]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,5,6,4,2,1,3,7]=>[8,5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,5,6,4,1,2,3,7]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,5,6,3,2,1,4,7]=>[8,5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,5,6,2,3,1,4,7]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,5,6,3,1,2,4,7]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,5,6,1,2,3,4,7]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[8,6,4,3,2,1,5,7]=>[8,6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[8,6,3,4,2,1,5,7]=>[8,6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,4,3,5,2,1,6,7]=>[8,4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,4,5,2,3,1,6,7]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,2,3,4,5,1,6,7]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,4,5,1,2,6,7]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,5,4,2,1,3,6,7]=>[8,5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,5,3,2,1,4,6,7]=>[8,5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,4,3,2,1,5,6,7]=>[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,3,1,2,4,5,6,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,5,4,7,3,2,1,8]=>[6,5,4,8,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,5,6,3,4,2,1,8]=>[7,5,8,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,6,4,3,5,2,1,8]=>[7,6,4,3,8,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,5,6,4,2,3,1,8]=>[7,5,8,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[5,6,7,4,2,3,1,8]=>[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,6,4,5,2,3,1,8]=>[7,6,4,8,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[6,7,4,5,2,3,1,8]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,6,4,7,2,3,1,8]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,7,3,2,4,1,8]=>[5,8,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,3,4,2,5,1,8]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,4,2,3,5,1,8]=>[6,8,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,4,3,2,6,1,8]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,4,5,3,2,6,1,8]=>[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,3,4,2,6,1,8]=>[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,4,2,3,6,1,8]=>[7,5,4,2,8,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,4,5,2,3,6,1,8]=>[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,5,4,3,2,7,1,8]=>[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,3,4,2,7,1,8]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,4,5,2,7,1,8]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,3,6,2,7,1,8]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,2,4,7,1,8]=>[6,5,3,2,8,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,2,3,5,7,1,8]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,3,2,6,7,1,8]=>[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,2,5,6,7,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,4,5,6,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,4,5,1,2,8]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,3,4,7,1,2,8]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,5,6,7,1,2,8]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,7,4,1,2,3,8]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[7,5,4,6,1,2,3,8]=>[7,5,4,8,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[5,4,6,7,1,2,3,8]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[7,6,5,3,2,1,4,8]=>[7,6,5,3,2,1,8,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[5,6,7,2,1,3,4,8]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,6,5,1,2,3,4,8]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,4,3,2,1,5,8]=>[7,6,4,3,2,1,8,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,3,4,2,1,5,8]=>[7,6,3,8,2,1,5,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[6,7,4,2,3,1,5,8]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,3,1,2,4,5,8]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,1,2,3,4,5,8]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,5,4,3,2,1,6,8]=>[7,5,4,3,2,1,8,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,4,5,3,2,1,6,8]=>[7,4,8,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,5,2,1,6,8]=>[7,4,3,8,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,3,2,4,1,6,8]=>[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,5,1,2,3,6,8]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,5,3,1,2,4,6,8]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,3,1,2,5,6,8]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,1,2,3,4,5,6,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,5,6,3,2,1,7,8]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,4,2,1,7,8]=>[6,5,3,8,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,6,2,3,1,7,8]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,3,2,4,1,7,8]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,3,2,6,1,7,8]=>[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,4,3,1,2,7,8]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,3,4,1,2,7,8]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,3,5,1,2,7,8]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,5,2,1,3,7,8]=>[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,6,2,1,3,7,8]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,6,2,1,3,7,8]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,1,2,3,7,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,3,2,1,5,7,8]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,3,4,2,1,5,7,8]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,2,1,3,5,7,8]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,2,3,1,6,7,8]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,2,4,1,6,7,8]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,3,4,1,6,7,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,2,5,1,6,7,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,1,6,7,8]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,4,1,2,6,7,8]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,2,1,4,6,7,8]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,3,1,4,6,7,8]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,5,6,7,8]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,5,6,7,8]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,1,2,5,6,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,3,5,6,7,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,3,5,6,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,2,1,4,5,6,7,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,3,4,5,6,7,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,7,6,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,8,6,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,8,7,4,3,2,1]=>[6,5,8,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,6,8,7,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,6,8,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,8,7,6,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,8,6,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,8,7,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,8,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,8,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,8,7,6,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,8,6,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,5,8,7,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,8,7,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,5,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,5,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,6,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,5,7,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,7,8,6,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,3,8,7,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,6,8,7,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,7,6,4,3,8,2,1]=>[5,8,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,3,7,6,8,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,8,7,6,5,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,8,6,5,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,8,7,5,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,8,7,6,5,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,7,8,6,5,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,3,2,8,7,6,1]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,7,8,6,1]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,2,5,8,7,6,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,5,7,8,6,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,5,8,7,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,7,8,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,5,3,2,8,7,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,3,2,8,7,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,6,2,8,7,1]=>[5,4,3,8,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,2,6,5,8,7,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,6,5,8,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,3,2,6,8,7,1]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,2,5,6,8,7,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,5,6,8,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,5,3,7,2,8,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,6,5,8,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,6,7,5,8,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,7,6,5,8,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,6,7,5,8,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,3,2,7,6,8,1]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,2,5,7,6,8,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,5,7,6,8,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,2,6,5,7,8,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,6,5,7,8,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,8,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[3,2,1,4,7,8,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,6,8,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,7,6,8,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,6,7,8,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,2,4,8,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,6,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,7,6,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,6,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,8,7,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,8,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,6,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,7,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,8,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,7,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,6,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,7,6,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,6,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,2,5,4,1,8,7,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,4,1,7,8,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,1,8,7,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,1,7,8,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,4,5,1,8,7,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,4,3,2,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,3,2,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,3,2,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,4,2,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,2,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,2,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,5,4,3,8,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,8,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,4,3,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,4,3,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,5,3,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,5,3,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,4,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,4,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,5,4,8,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,7,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,5,4,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,5,8,7,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,5,7,8,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,5,8,7,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,3,2,5,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,2,5,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,2,5,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,4,3,5,8,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,7,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,3,5,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,4,5,8,7,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,5,7,8,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,2,4,5,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,5,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,5,8,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,5,7,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,5,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,5,3,2,1,8,7]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,3,2,1,8,7]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,5,2,1,8,7]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,6,2,1,8,7]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,6,5,1,8,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,3,2,6,1,8,7]=>[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,2,5,6,1,8,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,5,4,3,2,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,4,3,2,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,6,3,2,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,5,4,2,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,6,2,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,6,5,4,3,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,3,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,3,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,3,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,3,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,3,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,6,5,4,8,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,2,6,5,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,6,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,6,5,4,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,4,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,5,6,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,6,5,8,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,4,2,6,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,4,3,6,5,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,6,5,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,2,5,4,1,6,8,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,5,4,3,6,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,6,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,6,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,6,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,5,6,8,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,1,5,6,8,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,4,2,5,6,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,4,3,5,6,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,6,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,4,5,6,8,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,2,4,5,6,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,5,6,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,6,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,7,6,5,2,1,8]=>[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,7,6,2,1,8]=>[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,5,7,2,1,8]=>[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,7,6,5,4,3,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
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[2,4,6,7,5,3,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
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[2,3,6,5,7,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,7,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
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[3,4,2,6,7,5,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,4,7,6,5,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,7,5,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,7,6,1,8]=>[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,2,5,7,6,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,4,5,7,6,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,3,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,3,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,4,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,5,7,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,3,6,5,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,5,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,6,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,6,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,6,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,6,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,4,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,5,4,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,7,4,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,7,4,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,7,6,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,5,7,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,6,7,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,7,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,6,5,4,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,6,4,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,5,7,4,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,7,4,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,6,7,5,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,4,7,6,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,5,7,6,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,7,6,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,6,3,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,3,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,5,4,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,4,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,6,5,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,6,5,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,3,6,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,5,6,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,6,7,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,6,5,4,3,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,4,3,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,4,3,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,5,3,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,7,3,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,7,3,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,6,5,4,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,5,4,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,6,7,4,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,7,5,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,6,4,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,5,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,4,6,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,5,6,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,7,6,5,4,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,7,5,4,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,6,4,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,5,7,4,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,6,7,4,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,2,5,7,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,6,5,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,6,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,6,7,5,4,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,6,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,7,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,5,7,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,5,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,5,6,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,7,6,5,8]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,6,7,5,8]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,3,2,7,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,2,6,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,2,6,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,4,3,6,7,5,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,4,7,6,5,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,2,4,6,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,6,7,5,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,6,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,2,5,4,1,7,6,8]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,5,1,7,6,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,5,4,2,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,5,2,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,2,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,5,4,3,7,6,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,5,4,7,6,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,2,5,4,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,5,4,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,2,1,5,7,6,8]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,4,3,5,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,4,5,7,6,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
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[1,8,3,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
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[1,7,3,6,5,4,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,3,5,2,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,3,5,8,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,3,5,6,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,3,6,5,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,3,6,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,3,6,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,5,3,2,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,5,3,2,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,5,3,8,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,5,3,6,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,3,6,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,5,6,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,5,6,3,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,6,5,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,3,6,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,3,6,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,3,6,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,3,7,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,4,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,5,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,5,4,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,8,6,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,8,6,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,8,5,6,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,8,5,7,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,8,6,5,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,8,6,7,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,8,6,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,8,6,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,5,6,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,5,7,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,8,6,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,3,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,7,8,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,8,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,4,5,6,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,4,5,7,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,5,8,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,4,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,4,6,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,4,7,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,4,8,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,6,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,5,6,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,4,6,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,6,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,6,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,5,6,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,5,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,6,3,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,5,3,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,8,6,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,6,4,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,6,8,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,3,5,6,8,7,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,5,8,7,6,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,6,5,8,7,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,5,6,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,8,5,6,7,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,8,5,7,6,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,7,6,5,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,8,6,7,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,3,8,7,6,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,3,4,1,6,8,7]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,1,7,8,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,3,4,1,8,7,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,3,4,5,8,7,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,4,7,8,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,4,3,1,6,7,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,1,6,8,7]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,1,7,6,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,3,1,8,7,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,4,5,3,8,7,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,5,4,3,7,8,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,7,5,6,8,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,8,5,6,7,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,8,5,7,6,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,8,6,7,5,1]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,4,1,6,8,7]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,1,7,6,8]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,4,1,8,7,6]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,3,2,4,6,5,7,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,4,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,4,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,2,5,4,1,7,8]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,2,5,4,1,8,7]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,5,4,6,1,8]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,3,2,5,4,7,6,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,5,6,4,7,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,5,6,7,4,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,5,7,6,4,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,6,5,7,4,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,7,5,6,4,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,7,6,5,4,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,4,2,7,6,8,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,4,2,8,6,7,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,4,2,5,1,8,7]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,4,2,7,1,8]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,5,4,2,6,1,8]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,3,2,8,6,7,1]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,4,3,5,2,1,8,7]=>[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,3,4,2,1,8,7]=>[6,5,3,8,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,5,3,4,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,5,3,4,7,6,2,1]=>[8,5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,3,4,6,5,2,1]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,6,3,5,4,2,7,1]=>[8,6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,7,3,5,4,6,2,1]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,7,3,5,6,4,2,1]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,7,3,6,5,4,2,1]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,5,4,3,2,7,6,1]=>[8,5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,1,4,6,3,5,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,8,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,8,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,8,3,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,5,7,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,7,5,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,3,5,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,7,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,3,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,8,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,5,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,5,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,8,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,8,3,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,3,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,8,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,8,5,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,3,5,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,8,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,8,3,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,8,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,7,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,4,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,4,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,8,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,8,3,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,4,7,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,7,4,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,7,4,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,3,4,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,7,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,7,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,3,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,8,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,4,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,4,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,8,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,8,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,8,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,4,6,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,8,4,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,8,3,4,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,8,4,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,6,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,8,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,6,7,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,7,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,4,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,4,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,8,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,8,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,4,5,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,7,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,4,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,8,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,8,4,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,3,4,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,8,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,8,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,5,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,5,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,5,7,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,7,8,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,8,4,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,8,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,8,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,8,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,8,4,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,5,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,5,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,8,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,5,6,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,5,6,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,7,8,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,4,5,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,8,4,5,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,8,5,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,5,8,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,6,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,6,5,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,5,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,8,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,8,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,8,2,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,5,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,7,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,7,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,7,2,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,7,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,2,7,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,7,2,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,6,7,8,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,7,8,1,2,5]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,5,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,7,2,5,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,8,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,5,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,5,7,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,7,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,2,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,5,7,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,2,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,8,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,7,8,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,8,5,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,8,2,5,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,5,8,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,8,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,8,2,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,5,6,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,2,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,8,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,6,8,1,2,7]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,6,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,2,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,7,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,6,7,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,6,7,1,8,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,4,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,4,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,8,4,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,8,2,4,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,4,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,7,4,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,7,4,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,7,2,4,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,6,7,8,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,2,7,8,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,7,2,8,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,7,8,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,7,8,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,7,4,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,2,4,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,7,8,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,2,8,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,8,2,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,7,4,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,7,2,4,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,4,7,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,5,2,4,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,7,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,7,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,2,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,2,4,7,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,5,2,4,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,7,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,7,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,2,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,7,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,7,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,2,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,8,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,2,8,4,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,8,2,4,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,4,8,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,2,5,4,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,5,8,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,8,2,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,2,4,6,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,5,2,6,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,2,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,6,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,2,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,8,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,2,4,6,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,5,2,4,6,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,2,4,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,6,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,2,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,7,2,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,6,7,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,2,7,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,7,2,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,7,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,2,7,4,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,2,4,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,7,8,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,2,8,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,7,8,2,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,4,7,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,2,6,4,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,2,4,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,2,4,7,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,2,6,4,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,2,4,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,2,7,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,7,2,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,6,7,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,2,7,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,7,8,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,2,8,4,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,8,2,4,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,4,8,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,2,6,4,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,2,4,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,2,4,5,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,6,2,4,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,6,2,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,6,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,6,8,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,2,4,5,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,4,6,2,5,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,6,2,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,6,7,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,6,7,8,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,1,2,8,4,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,8,2,4,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,4,8,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,2,7,4,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,2,4,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,2,8,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,8,2,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,1,2,4,5,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,7,2,4,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,2,7,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,7,2,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,7,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,2,7,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,7,8,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,1,2,4,5,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,7,2,4,5,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,7,2,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,7,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,2,4,5,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,2,8,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,2,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,8,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,2,8,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,8,2,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,5,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,2,5,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,2,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,8,2,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,6,8,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,2,6,3,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,2,3,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,2,3,8,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,6,8,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,2,8,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,2,8,3,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,8,2,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,8,2,3,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,6,3,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,2,3,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,2,7,3,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,7,2,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,7,2,3,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,6,7,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,2,7,8,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,7,2,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,7,2,8,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,7,8,2,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,7,8,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,7,3,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,2,3,8,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,7,8,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,2,8,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,2,8,3,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,7,3,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,2,3,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,3,7,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,3,7,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,3,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,3,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,7,3,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,7,3,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,7,3,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,7,2,3,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,2,3,7,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,3,7,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,5,2,3,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,7,3,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,7,3,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,7,3,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,7,2,3,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,7,8,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,7,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,7,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,7,8,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,2,8,3,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,8,2,3,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,8,1,2,3,6,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,2,3,8,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,3,8,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,3,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,3,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,8,3,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,8,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,8,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,8,2,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,6,3,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,5,2,6,3,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,6,8,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,6,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,6,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,8,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,2,3,6,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,3,6,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,3,6,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,3,6,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,6,3,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,5,2,6,3,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,2,3,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,6,7,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,6,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,2,6,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,2,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,7,2,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,5,6,7,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
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[1,4,5,6,2,7,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,7,2,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,7,8,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,2,7,3,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,2,3,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,2,3,8,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,2,8,3,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,2,8,3,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,8,2,3,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,8,2,3,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,7,3,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,2,3,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,2,3,5,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,3,7,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,3,7,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,6,3,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,6,7,3,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,6,7,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,7,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,2,3,7,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,3,7,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,6,2,3,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,6,7,3,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,6,2,7,3,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,7,2,3,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,6,7,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,7,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,7,2,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,7,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,2,8,3,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,8,2,3,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,8,1,2,3,5,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,2,3,8,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,3,8,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,6,3,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,3,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,6,8,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,8,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,8,2,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,2,3,5,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,3,5,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,6,3,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,3,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,3,6,5,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,3,6,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,3,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,3,6,8,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,4,3,6,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,3,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,8,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,2,3,5,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,3,5,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,6,3,5,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,3,5,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,3,6,5,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,4,6,3,5,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,3,6,7,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,4,6,3,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,7,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,3,6,7,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,3,6,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,3,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,6,7,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,2,8,3,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,8,2,3,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,8,1,2,3,5,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,3,8,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,7,3,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,3,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,7,8,3,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,7,8,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,8,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,8,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,2,3,5,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,3,5,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,7,3,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,3,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,3,7,5,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,4,3,7,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,7,3,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,3,7,8,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,3,7,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,3,7,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,7,3,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,7,8,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,2,3,5,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,3,5,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
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[1,6,2,3,7,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,7,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,3,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,8,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,2,3,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,7,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,7,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,3,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,4,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,4,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,4,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,7,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,4,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,4,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,4,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,7,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,7,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,2,3,4,5,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,8,2,3,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,8,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,8,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,3,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,4,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,4,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,8,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,4,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,4,5,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,6,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,4,5,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,4,5,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,4,5,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,2,3,4,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,8,3,4,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,8,3,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,2,3,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,3,8,4,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,3,8,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,8,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,8,3,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,3,4,8,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,3,4,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,4,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,4,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,8,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,3,4,5,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,3,4,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,4,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,4,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,7,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,7,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,3,4,5,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,4,5,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,4,5,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,7,5,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,8,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,5,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,2,6,1,4,8,7]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,2,5,4,8,1,6]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,4,5,2,3,7,6,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,5,2,3,8,1,6]=>[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,4,5,2,3,1,8,7]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,6,2,1,3,8,7]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,1,5,4,2,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,5,1,3,2,8,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,4,3,1,2,8,7]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[8,6,4,3,7,2,5,1]=>[8,6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,4,3,8,2,1,5]=>[7,6,4,3,8,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,7,4,3,8,1,2,5]=>[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,4,3,1,8,2,6]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,7,5,1,3,8,2,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,5,4,8,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,5,4,8,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,5,4,7,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,5,1,3,7,6,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,4,3,1,7,6,2]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,8,4,3,7,1,5,2]=>[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,8,5,7,3,1,4,2]=>[6,8,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,8,6,7,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,8,6,1,7,3,5,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,1,6,7,4,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,8,4,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,6,1,8,3,2,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,8,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,4,7,2,1,8,3,6]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,7,2,8,1,3,5]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,4,6,2,8,3,1,5]=>[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,4,6,2,7,3,5,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,3,2,6,7,4,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,2,6,8,4,1,5]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,2,7,8,1,4,5]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,7,1,8,4,6]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,2,8,7,6,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,8,7,1,5,4]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,2,8,6,5,1,4]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,8,2,6,5,1,3]=>[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,8,2,1,7,6,3]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,8,1,2,7,6,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,1,8,2,7,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,5,8,3,7,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,8,7,2,5,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,8,1,7,2,5,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,8,7,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,5,8,6,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,8,6,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,7,8,1,6,5,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,8,6,5,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,7,1,6,5,3,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,1,4,3,6,5,8,7,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[10,3,2,5,4,7,6,9,8,1]=>[10,3,2,9,8,7,6,5,4,1]=>[3,2,9,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[2,1,5,6,3,4,8,7,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,5,4,3,8,7,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[10,5,4,3,2,7,6,9,8,1]=>[10,5,4,3,2,9,8,7,6,1]=>[5,4,3,2,9,8,7,6,1]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]
[2,1,8,5,4,7,6,3,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,10,5,4,7,6,9,8,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,7,8,3,4,5,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,7,3,8,4,6,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,7,8,5,6,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,8,7,6,5,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[10,3,2,7,6,5,4,9,8,1]=>[10,3,2,9,8,7,6,5,4,1]=>[3,2,9,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[2,1,8,7,6,5,4,3,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[9,7,6,5,4,3,2,10,1,8]=>[9,7,6,5,4,3,2,10,1,8]=>[9,7,6,5,4,3,2,1,8]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[10,7,6,5,4,3,2,9,8,1]=>[10,7,6,5,4,3,2,9,8,1]=>[7,6,5,4,3,2,9,8,1]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[2,1,10,7,6,5,4,9,8,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,10,7,6,9,8,5]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[4,3,2,1,10,7,6,9,8,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[10,3,2,9,6,5,8,7,4,1]=>[10,3,2,9,8,7,6,5,4,1]=>[3,2,9,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[2,1,10,9,6,5,8,7,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,7,8,9,10,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,8,9,3,10,4,5,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,8,3,9,10,4,6,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,8,9,10,5,6,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,7,9,5,10,6,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,7,3,9,4,10,6,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,7,9,3,4,10,5,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,6,3,4,9,10,7,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,6,5,9,10,7,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,6,5,10,9,8,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[10,3,2,5,4,9,8,7,6,1]=>[10,3,2,9,8,7,6,5,4,1]=>[3,2,9,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[2,1,6,5,4,3,10,9,8,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[10,5,4,3,2,9,8,7,6,1]=>[10,5,4,3,2,9,8,7,6,1]=>[5,4,3,2,9,8,7,6,1]=>[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]
[2,1,10,5,4,9,8,7,6,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,10,9,8,7,6,5]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[10,3,2,9,8,7,6,5,4,1]=>[10,3,2,9,8,7,6,5,4,1]=>[3,2,9,8,7,6,5,4,1]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[5,2,4,1,3,6,7,8]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,6,1,2,4,7,8]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,2,7,1,3,4,6,8]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,1,2,4,6,8]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,4,6,1,2,3,5,8]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,2,8,1,3,4,6,7]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,4,8,1,2,3,5,6]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,5,7,1,2,3,4,6]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,2,5,7,1,4,6,8]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,4,7,1,3,6,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,7,1,3,4,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,8,1,4,6,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,4,8,1,3,6,7]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,6,8,1,4,5,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,6,8,1,3,4,7]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,8,1,4,5,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,7,8,1,2,3,6]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,3,4,6,1,2,5,7]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,5,6,1,2,4,7]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,5,7,1,2,4,6]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,5,1,4,7,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,2,5,1,3,7,8]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,2,5,1,4,6,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,7,3,4,1,2,6,8]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,6,1,4,5,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,7,3,6,1,2,4,8]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,8,2,5,1,3,6,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,3,4,1,2,6,7]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,8,2,6,1,4,5,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,2,6,1,3,5,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,3,6,1,2,4,7]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,8,4,5,1,2,3,7]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,8,2,7,1,4,5,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,2,7,1,3,5,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,3,7,1,2,4,6]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,2,6,1,4,7,8]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,4,1,3,7,8]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,2,7,1,4,6,8]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,3,7,1,2,5,8]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,5,2,7,1,3,4,8]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,3,2,8,1,4,6,7]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,3,8,1,2,5,7]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,5,2,8,1,3,4,7]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,5,4,8,1,2,3,6]=>[7,5,4,8,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[8,4,3,7,1,2,5,6]=>[8,4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,7,2,4,1,3,5,6]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[8,7,2,5,1,3,4,6]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[8,7,2,6,1,3,4,5]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[8,7,4,6,1,2,3,5]=>[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,2,5,8,1,4,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,7,3,4,8,1,2,6]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,6,8,1,4,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,7,3,4,8,1,2,5]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,5,8,1,2,4]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,8,2,5,7,1,4,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,6,7,1,4,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,8,3,6,7,1,2,4]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,8,3,5,7,1,2,4]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,2,6,8,1,3,7]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,2,5,8,1,4,7]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,7,8,1,3,6]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,3,2,5,7,1,4,6]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,6,7,1,4,5]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,7,2,6,1,3,8]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,7,2,5,1,4,8]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,7,2,5,1,3,8]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,6,2,5,1,4,8]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,4,8,2,6,1,3,7]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,8,2,5,1,4,7]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,8,2,5,1,3,7]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,8,2,7,1,3,6]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,8,2,7,1,4,5]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,8,2,7,1,3,5]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,8,2,5,1,4,6]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,8,2,6,1,4,5]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,3,6,2,5,1,4,7]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,4,6,2,5,1,3,7]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,5,6,2,4,1,3,7]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,3,7,2,5,1,4,6]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,4,7,3,5,1,2,6]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,5,7,2,4,1,3,6]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,3,7,2,6,1,4,5]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,4,7,2,6,1,3,5]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,4,7,3,6,1,2,5]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,5,7,2,6,1,3,4]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,6,7,2,4,1,3,5]=>[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,6,7,2,5,1,3,4]=>[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,6,7,3,5,1,2,4]=>[8,6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,3,2,7,1,6,8]=>[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,3,2,7,1,4,8]=>[6,5,3,2,8,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,3,2,6,1,4,8]=>[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,3,2,8,1,6,7]=>[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,3,2,8,1,4,7]=>[6,5,3,2,8,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,3,2,8,1,4,6]=>[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,6,4,3,8,1,2,5]=>[7,6,4,3,8,1,5,2]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[8,5,3,2,6,1,4,7]=>[8,5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,5,3,2,7,1,4,6]=>[8,5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,4,2,6,1,3,5]=>[8,7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,7,4,3,6,1,2,5]=>[8,7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[8,7,6,3,5,1,2,4]=>[8,7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,8,3,7,2,6,1,5]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,8,3,7,2,6,1,4]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,4,7,2,6,1,3]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,4,7,3,6,1,2]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,8,3,7,2,5,1,4]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,4,7,2,5,1,3]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,8,4,7,3,5,1,2]=>[6,8,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,8,5,7,2,4,1,3]=>[6,8,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,8,5,7,3,4,1,2]=>[6,8,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,8,3,6,2,5,1,4]=>[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,4,6,2,5,1,3]=>[7,8,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,8,4,6,3,5,1,2]=>[7,8,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,8,5,6,2,4,1,3]=>[7,8,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,3,8,2,7,1,5]=>[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,3,8,2,7,1,4]=>[6,5,3,8,2,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,3,8,2,6,1,4]=>[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,6,4,8,2,5,1,3]=>[7,6,4,8,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[8,5,3,7,2,6,1,4]=>[8,5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,5,4,7,2,6,1,3]=>[8,5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,5,4,7,3,6,1,2]=>[8,5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[8,6,4,7,2,5,1,3]=>[8,6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,7,5,6,2,4,1,3]=>[8,7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[8,5,4,3,2,7,1,6]=>[8,5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[8,7,5,4,2,6,1,3]=>[8,7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[8,7,6,5,2,4,1,3]=>[8,7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,1,2,3,6,4,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,2,8,3,7,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,2,5,3,4,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,3,4,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,2,8,6,3,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,8,7,3,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,6,3,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,2,5,6,3,8,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,2,5,8,7,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,8,6,7,3,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,4,2,3,5,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,3,4,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,6,3,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,2,6,3,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,6,3,8,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,2,3,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,8,2,3,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,2,3,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,5,2,3,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,6,2,3,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,2,3,8,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,6,2,8,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,3,1,2,4,7,5,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,2,6,4,5,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,2,7,4,5,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,2,6,7,4,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,8,2,5,6,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,2,5,8,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,2,8,5,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,8,2,7,5,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,2,7,8,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,3,1,5,2,4,6,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,6,2,4,5,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,5,2,7,4,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,6,2,7,4,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,1,5,2,3,4,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,2,3,8,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,8,1,5,2,7,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,3,1,5,8,2,6,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,7,2,8,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,8,6,2,5,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,8,7,2,5,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,6,2,8,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,3,1,5,6,2,4,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,5,7,2,4,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,7,6,2,4,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,8,1,5,6,2,3,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,3,1,5,6,8,2,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,5,8,7,2,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,8,6,7,2,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,3,1,5,6,7,2,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,5,6,7,8,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,8,4,1,2,3,5,7]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,1,2,3,8,5]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,8,4,1,2,7,3,5]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,3,4,1,8,2,6,7]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,7,2,8,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,6,8,2,7]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,8,7,2,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,4,1,6,7,8,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,3,6,5,1,2,4,7]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,4,5,1,7,2,6]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,4,6,1,7,2,5]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,6,5,1,7,2,4]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,4,5,8,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,8,6,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,8,5,6,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,4,5,6,7,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,1,4,8,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,4,1,8,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,4,8,1,6]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,4,8,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,7,2,3,8,6,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,3,8,1,6]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,3,1,8,7]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,1,3,8,7]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,6,4,2,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,6,1,3,2,8,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,3,1,2,8,7]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,3,2,8,1,6]=>[4,8,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,3,2,8,6,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,3,8,2,5,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,3,8,2,1,5]=>[4,8,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,3,8,1,2,5]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,3,1,8,2,6]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,1,3,8,2,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,1,7,4,8,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,5,7,4,8,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,8,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,7,4,8,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,7,1,3,8,6,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,3,1,8,6,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,3,8,1,5,2]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,3,8,5,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,3,8,5,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,7,8,3,1,4,2]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,7,8,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,6,7,1,8,3,5,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,7,8,4,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,6,7,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,8,4,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,7,1,8,3,2,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,8,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,5,7,2,1,8,3,6]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,8,1,3,5]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,8,3,1,5]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,8,3,5,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,7,8,4,5,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,8,4,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,8,1,4,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,1,8,4,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,1,7,8,5,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,1,2,7,8,6,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,2,7,1,8,6,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,8,1,5,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,8,5,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,8,5,4,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,7,2,8,5,3,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,8,5,1,3]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,2,8,1,5,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,1,8,6,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,1,2,8,6,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,1,7,2,8,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,5,7,3,8,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,8,2,5,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,7,1,8,2,5,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,8,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,8,2,1,4,3]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,8,2,4,1,3]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,8,2,4,3,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,8,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,6,7,1,8,5,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,7,8,5,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,6,7,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,8,5,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,7,1,8,5,3,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,8,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,6,7,8,4,1,3,2]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,1,5,6,4,3,8,7,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,7,4,8,6,3,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,7,4,9,6,10,8,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,7,8,6,5,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,7,8,5,4,3,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,7,9,5,4,10,8,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,7,9,6,10,8,5]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,8,9,5,10,7,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,6,5,9,10,8,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,6,4,3,9,10,8,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,5,8,4,9,10,7,6,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,8,9,10,7,6,5]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,7,8,9,10,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[6,5,8,7,3,4,1,2]=>[6,5,8,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,6,7,4,5,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,7,4,5,2,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,7,6,2,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,4,7,6,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,4,3,8,7,6,1,2]=>[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,4,8,3,7,5,1,2]=>[6,4,8,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,5,6,8,7,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,5,6,1,8,7,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,8,1,4,5,2,3,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,3,2,8,6,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,8,1,3,2,5,4,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,2,3,8,1,6,7,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,8,2,1,7,5,4]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,8,3,2,1,6,5,4]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,4,2,6,1,5,3]=>[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,2,8,7,1,6,3]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,3,7,2,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,3,2,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,5,6,2,1,4,3]=>[7,8,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,3,1,2,8,7,5,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,1,3,8,5,7,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,2,6,5,8,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,4,5,1,2,8,3,6]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,1,6,5,3,4,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,2,4,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,5,1,2,3,8,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,6,4,1,8,2,3,5]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[6,7,4,1,8,2,3,5]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,1,2,8,3,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,5,2,8,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,5,3,8,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,3,7,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,5,2,7,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,5,1,2,7,3,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,8,4,1,7,2,3,5]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[8,7,4,1,6,2,3,5]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,8,6,7,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,8,6,1,7,2,3,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,1,6,7,2,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,8,6,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,8,2,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,6,1,8,2,3,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,4,6,1,8,2,3,5]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,3,1,6,7,2,4,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,2,7,8,5,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,4,3,8,7,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,8,7,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,4,8,1,6,2,3,5]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,5,8,1,2,7,3,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,1,8,2,7,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,5,8,3,7,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,8,7,2,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,8,1,7,2,3,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,8,7,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,5,8,6,1,2,3,4]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,7,8,6,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,7,8,1,6,2,3,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,8,6,2,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,8,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,7,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,7,6,2,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,7,1,6,2,3,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,7,6,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,4,7,3,8,5,1,2]=>[6,4,8,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,7,3,5,8,1,2]=>[6,4,8,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,7,2,5,1,8,3]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,2,7,6,1,3,8]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,7,6,1,8,3]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,3,7,6,8,1,2]=>[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,7,8,6,1,2]=>[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,4,8,3,5,7,1,2]=>[6,4,8,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,4,3,8,6,7,1,2]=>[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,3,6,8,7,1,2]=>[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,2,6,7,1,8,3]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,6,7,1,3,8]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,2,6,1,7,4,8]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,1,7,8,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,6,1,8,7,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,6,8,1,7,3]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,2,8,6,1,7,3]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,8,2,5,1,7,3]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,4,2,5,1,6,3]=>[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,8,4,2,5,1,3,6]=>[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,2,8,6,1,3,7]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,2,6,1,8,4,7]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,1,6,8,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,8,1,6,4,7]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,8,2,1,5,4,7]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,8,3,2,1,5,4,6]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,3,2,1,5,6,4]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,8,2,1,5,7,4]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,8,1,6,7,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,7,8,1,6,3]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,2,7,1,8,6,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,1,6,8,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,7,1,6,4,8]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,7,2,1,5,4,8]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,1,5,8,4]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,1,8,5,4]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,7,2,8,1,5,3]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,5,7,8,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,8,7,2,1,3,4]=>[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,7,2,1,8,4,5]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,1,4,8,5]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,7,2,1,4,5,8]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,7,1,4,8,6]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,2,8,7,1,3,6]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,8,4,2,6,1,3,5]=>[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,8,3,2,1,6,4,5]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,8,2,1,7,4,5]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,2,8,1,7,4,6]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,7,5,8,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,7,5,6,8]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,8,5,7,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,8,1,4,7,6]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,8,2,1,4,7,5]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,8,3,2,1,4,6,5]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,8,2,1,4,5,7]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,3,2,1,8,5,6,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,2,1,5,8,6,7]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,8,5,6,1,2,4,3]=>[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,8,1,4,6,2,5,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,3,2,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,3,2,6,5,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,3,4,6,5,1,2]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,8,1,2,3,6,5,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,8,2,3,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,8,3,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,8,4,7,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,5,8,3,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,4,8,7,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,2,3,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,1,3,8,7,6,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,3,8,7,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,3,8,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,2,8,7,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,2,8,7,6,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,3,8,2,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,8,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,6,8,7,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,8,7,2,1,4,3]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,8,7,2,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,5,8,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,8,2,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,6,8,2,7,1,5,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,8,3,7,5,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,8,1,7,6,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,8,1,7,6,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,5,8,7,6,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,5,8,7,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,3,2,6,5,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,3,2,5,4,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,2,5,3,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,6,3,5,4,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,5,3,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,6,1,4,3,8,7]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,1,4,3,8,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,8,1,4,3,7,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,2,5,3,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,7,3,5,4,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,5,4,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,2,5,3,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,4,3,8,2,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,8,2,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,8,2,6,3,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,3,6,4,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,4,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,6,3,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,3,2,6,4,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,3,2,7,5,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,4,3,8,5,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,8,5,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,4,8,1,3,2,6,5]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,5,2,8,3,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,5,3,8,4,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,8,4,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,8,3,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,3,7,2,6,1,5,4]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,8,3,7,2,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,4,7,3,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,8,3,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,8,2,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,3,8,2,6,1,5,4]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,2,6,3,7,1,5,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,8,1,5,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,7,3,8,2,4,1,6]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,5,6,3,8,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,3,2,8,1,7]=>[4,8,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,7,4,1,8,3,2,5]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,3,8,1,5,2]=>[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,7,3,8,4,2,1]=>[5,8,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,2,7,3,8,4,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,2,1,8,3,4,5]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,4,2,8,3,1,5]=>[6,8,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,3,8,2,6,1,4]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,5,7,8,2,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,2,7,8,4,3,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,2,1,8,4,3]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,5,3,6,2,4,1,7]=>[8,5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,2,4,5,6,1,3,7]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,6,7,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,3,7,2,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,4,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,6,7,8,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,3,6,7,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,7,1,3,8,4,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,7,8,3,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,7,4,8,5,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,7,4,8,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,4,7,8,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,7,3,4,2,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,3,4,2,6,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,3,4,2,1,6,5]=>[7,8,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,6,2,7,1,8,5,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,5,6,7,8,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,6,7,8,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,7,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,3,8,5,1,4,2]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,4,3,7,2,5,1,8]=>[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,5,6,3,4,8,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,5,4,1,3,2,6]=>[8,7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,8,5,4,2,1,3,7]=>[6,8,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,1,2,6,5,8,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,5,4,8,2,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,8,4,2,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,2,7,8,5,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,8,7,1,5,4,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,2,7,1,5,3,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,7,2,1,4,3,6]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,7,6,1,4,3,2,5]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[1,7,6,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,8,2,1,3,4,6]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,2,8,1,3,5,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,8,3,2,1,4,7]=>[6,5,8,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,5,7,3,1,4,2,6]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,7,8,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,4,3,7,1,5,2,6]=>[8,4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,4,3,8,2,1,5,7]=>[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,2,3,1,8,7,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,3,1,8,2,6,5]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[1,5,8,3,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,8,2,3,5,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,8,7,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,6,5,2,3,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,7,2,5,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,2,8,7,6,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,8,6,5,2,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,5,3,4,8,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,2,8,4,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,5,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,8,2,4,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,4,3,8,7,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,8,7,5,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,5,8,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,7,2,3,5,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,8,1,6,2,3,5,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,6,2,4,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,8,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,5,3,7,6,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,5,3,6,2,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,5,4,7,3,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,7,6,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,6,4,7,2,8,1]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,1,7,4,8,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,3,7,5,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,6,4,7,5,8,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,3,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,7,2,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,6,1,7,2,8,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,2,7,4,8,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,6,1,7,3,8,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,3,7,5,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,7,3,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,5,2,7,6,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,5,3,7,6,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,5,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,7,5,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,6,1,7,4,8,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,6,2,7,1,8,3]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,6,5,7,2,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,6,5,7,3,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,7,3,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,2,5,4,6,1,3,7]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,5,7,4,3,2,6,1]=>[8,5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,6,8,3,2,7,5,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,3,2,8,1,5]=>[4,8,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,6,7,3,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,5,3,2,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,5,7,4,2,1,6,3]=>[8,5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,3,7,5,1,4,6,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,4,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,4,7,6,3,5,2,1]=>[8,4,7,6,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,6,5,8,7,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,4,8,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,3,5,6,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,7,5,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,5,7,6,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,8,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,8,7,3,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,2,4,6,7,5,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,4,8,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,7,6,1,3,4,2,5]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[8,5,7,3,2,1,6,4]=>[8,5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,6,3,5,2,4,1]=>[8,7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,6,8,2,1,7,5,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,7,8,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,8,5,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,5,8,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,6,3,5,1,4,2]=>[8,7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[8,4,7,6,5,1,3,2]=>[8,4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,5,3,7,2,1,4,6]=>[8,5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,8,1,4,5,7,3,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,2,4,5,1,8,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,8,7,4,2,6,3,1]=>[5,8,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,7,8,4,5,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,8,7,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,8,1,7,2,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,5,7,4,1,6,3,2]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,8,4,7,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,3,5,6,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,8,4,3,6,1,2]=>[7,5,8,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,5,8,4,6,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,3,6,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,8,2,1,7,5]=>[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,3,8,4,2,6,1,5]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,3,1,2,5,6,7,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,1,5,6,7,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,3,4,6,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,8,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,8,1,4,2,6]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,8,4,5,3,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,8,4,5,3,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,8,4,3,6,2,1]=>[5,8,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,5,3,8,2,4,1,6]=>[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,1,3,2,6,8,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,3,6,2,8,1,4]=>[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,8,3,2,6,1,7,4]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,5,4,1,6,2,3]=>[8,7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[2,7,6,4,5,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,5,8,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,3,6,1,8,2,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,6,5,8,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,3,6,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,5,4,2,6,1,3]=>[7,8,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,2,8,5,6,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,2,8,5,6,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,2,4,8,6,1,3]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,3,2,8,1,7,4]=>[6,5,3,2,8,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,1,5,3,8,6,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,8,5,6,7,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,3,7,1,8,4,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,6,2,5,4,8,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,7,1,8,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,5,8,3,7,6,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,3,2,7,1,8,6]=>[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,8,2,7,6,1]=>[5,4,3,8,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,7,6,2,1,8,5]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,7,5,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,5,8,4,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,8,5,7,4,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,8,7,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,8,7,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,4,3,8,1,7,5,2]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,8,3,7,6,5,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,8,7,6,4,2,1]=>[5,3,8,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,3,1,8,6,4,2]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,8,6,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,6,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,6,5,3,2,1,8,4]=>[7,6,5,3,2,1,8,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[6,5,3,2,8,7,4,1]=>[6,5,3,2,8,7,4,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,2,1,7,3,8,4]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,2,7,4,1,8,3,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,6,2,4,1,8,5]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,3,7,8,2,1,5,6]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,8,2,5,7,1,6,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,6,2,7,1,5,4]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,8,3,6,2,1,5,4]=>[7,8,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,7,3,6,2,5,4,1]=>[8,7,3,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,7,8,2,1,6,5,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,8,2,7,1,6,3]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,3,7,1,6,2,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,5,2,8,1,7,4,3]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,2,7,1,8,6,4,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,2,7,6,4,3,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,8,7,5,4,3,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,6,2,1,8,5,4,3]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[8,7,4,6,1,5,3,2]=>[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,5,7,1,6,4,3,2]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,8,1,7,5,4,3,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,8,6,5,4,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,4,2,7,3,5,1,8]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,5,2,3,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,2,8,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,6,4,8,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,1,5,2,8,3,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,5,2,7,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,8,2,3,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,2,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,8,7,1,4,5,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,8,7,2,1,3,4,6]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,7,6,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,4,2,3,8,1,6,7]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,2,5,4,1,8,6,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,2,3,1,8,6,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,2,1,3,8,5,7]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,8,7,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,2,7,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,6,2,3,4,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,7,2,3,4,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,2,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,7,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,2,7,1,8,3,4]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,4,3,5,1,2,8,7]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,8,5,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,8,2,4,6,7,3,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,8,6,5,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,5,4,8,1,6,3,2]=>[7,5,4,8,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,1,6,3,8,5,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,5,8,4,1,7,3,2]=>[6,5,8,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,1,4,8,3,7,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,8,2,1,6,5]=>[7,4,3,8,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[8,3,1,2,5,7,6,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,1,7,5,6,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,7,8,5,4,3,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,8,7,4,2,6,1]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,8,7,2,1,6,5]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,5,8,2,4,1,6]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,3,2,6,7,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,6,1,8,7,2,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,8,5,6,1,4,2,3]=>[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[2,8,6,5,4,7,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,8,3,6,1,7,2,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,8,6,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,6,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,5,6,8,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,2,5,8,6,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,2,1,5,8,7,3]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,5,3,6,8,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,5,7,6,8,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,2,1,4,3,8,7]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,6,3,2,4,1,8,7]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,6,2,4,1,5,8,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,6,7,4,8,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,7,4,3,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,1,3,5,2,6,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,8,7,3,2,6,1,4]=>[5,8,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,1,5,3,8,7,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,8,7,1,4]=>[6,5,3,2,8,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,4,2,8,5,7,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,8,6,7,5,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,1,6,5,4,8,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,5,2,6,3,8,1,4]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,1,2,3,6,8,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,2,8,1,5,3,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,7,8,6,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,8,5,4,3,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,3,8,1,4,6,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,8,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,8,4,6,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,8,4,3,6,2,1]=>[7,5,8,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,4,8,3,5,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,3,6,5,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,4,8,3,5,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,2,1,4,6,5,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,5,8,6,1,4,2,3]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[2,8,5,6,7,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,5,3,4,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,5,3,4,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,8,6,1,4,3,2]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,1,2,3,7,6,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,8,7,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,8,6,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,8,6,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,7,6,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,8,5,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,6,8,4,3,5,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,5,2,8,3,4,1,6]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,1,6,8,4,3,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,8,6,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,8,3,6,5,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,3,6,2,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,6,5,8,3,2,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,6,7,8,3,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,7,3,2,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,5,6,8,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,6,5,8,3,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,2,3,5,8,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,3,7,8,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,8,3,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,8,5,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,6,8,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,8,5,6,1,4,3,2]=>[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,8,3,5,4,2,1,6]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,3,6,5,4,1,2]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,8,1,6,5,4,3,2]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,8,7,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,8,2,6,4,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,7,1,6,4,8,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,2,1,5,3,8,7]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,8,7,5,6,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,3,7,6,4,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,5,6,8,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,8,6,4,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,1,7,6,4,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,7,5,8,3,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,8,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,8,1,4,7,3,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,8,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,8,3,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,6,4,3,8,1,2]=>[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,6,2,4,7,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,7,6,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,8,7,6,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,2,6,5,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,7,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,5,6,8,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,8,6,3,5,7,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,3,7,8,2,1,6,4]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,8,7,1,6,4,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,7,8,5,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,4,2,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,8,6,2,3,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,7,6,5,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,6,5,3,4,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,8,6,5,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,7,1,4,8,5]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,7,6,3,8,1,2,5]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,8,4,3,7,1,2,5]=>[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,8,6,2,7,1,3,5]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,4,6,3,7,1,2,5]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,3,7,6,1,2,4,5]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,4,8,7,1,2,3,6]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,8,2,7,1,3,5]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,3,8,2,1,6,4]=>[7,5,3,8,2,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,8,7,4,5,1,6,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,5,8,2,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,1,7,8,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,8,1,2,6,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,8,4,2,6,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,4,3,8,1,5,7,2]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,4,5,6,7,8,9,2,3]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[8,5,3,6,2,7,1,4]=>[8,5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,2,7,3,4,5,8,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,6,2,7,4,5,8,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,5,7,3,6,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,7,6,2,3,8,1]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,3,2,8,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,3,5,2,7,1,4]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,2,1,7,3,4,5]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,8,6,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,3,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,5,8,2,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,3,8,2,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,7,1,8,4,5]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,8,4,6,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,3,4,6,8,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,4,5,8,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,3,4,8,7,1,2]=>[6,5,3,8,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,3,8,2,5,1,4]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,2,8,7,1,4,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,7,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,8,7,3,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,7,2,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,8,7,2,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,8,3,7,5,1,2,4]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,5,8,3,6,2,4,1]=>[7,5,8,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,8,3,2,6,5,1]=>[7,4,8,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,8,3,2,5,6,1]=>[7,4,8,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,4,3,8,2,5,7,1]=>[6,4,3,8,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,8,3,6,2,1,4]=>[7,5,8,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,8,3,2,6,1,5]=>[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,8,3,2,5,1,6]=>[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,4,3,8,2,5,1,7]=>[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,7,2,5,8,1]=>[6,4,3,8,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,2,8,6,1,7]=>[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,8,7,1,6]=>[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,3,8,7,2,1,4]=>[6,5,3,8,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,4,3,8,2,7,5,1]=>[6,4,3,8,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,3,8,7,2,4,1]=>[6,5,3,8,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,7,8,2,4,1]=>[6,5,3,8,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,3,7,2,8,5,1]=>[6,4,3,8,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,7,2,1,5,8]=>[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,4,8,3,2,1,5,6]=>[7,4,8,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,8,3,2,1,6,5]=>[7,4,8,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,3,2,8,1,7,6]=>[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,4,3,7,2,1,8,5]=>[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,3,7,8,2,1,4]=>[6,5,3,8,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,3,7,2,8,1,5]=>[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,4,3,2,7,8,1,6]=>[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,3,2,6,8,1,7]=>[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,7,8,2,1,4,6]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,1,7,8,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,7,4,1,5,6,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,8,1,2,5,4,6,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,8,7,4,2,1,6,3]=>[5,8,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,2,1,8,7,4,3]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,7,2,8,1,3,6,5]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,2,4,3,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,4,3,5,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,3,4,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,5,3,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,3,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,6,3,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,3,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,3,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,8,3,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,8,3,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,3,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,8,4,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,4,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,4,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,7,4,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,7,3,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,3,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,3,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,6,3,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,6,3,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,3,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,5,3,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,3,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,3,7,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,3,7,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,4,3,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,4,3,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,3,4,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,3,4,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,3,4,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,4,3,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,4,3,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,3,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,3,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,3,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,5,3,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,3,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,6,3,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,6,3,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,4,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,8,4,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,3,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,8,3,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,8,3,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,3,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,3,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,6,3,7,2,5,1,8]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,7,8,4,1,6,2,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,8,4,1,6,3,2]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,8,4,1,3,6,2]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,8,4,2,1,7,3]=>[5,8,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,8,4,2,1,3,7]=>[5,8,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,8,4,1,3,2,6]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,8,4,1,2,6,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,8,4,1,2,3,6]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,8,2,1,6,3,4]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,2,8,1,6,3,5]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,8,1,6,4,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,8,1,6,5,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,7,2,8,1,6,5,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,7,8,2,1,6,4,3]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,8,2,1,4,6,3]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,2,8,1,5,6,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,7,8,1,5,6,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,7,8,1,5,4,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,7,8,2,1,4,3,6]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,8,2,1,3,6,4]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,8,1,4,6,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,7,5,2,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,5,4,2,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,6,5,7,3,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,4,5,3,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,4,3,5,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,5,2,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,3,2,8,5,1,4,7]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,1,7,5,2,8,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,6,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,2,1,7,5,8,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,4,8,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,8,4,2,3,7,1]=>[6,5,8,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,6,5,7,3,4,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,4,6,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,8,4,6,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,4,8,6,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,8,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,6,2,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,4,7,1,8,3,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,6,1,4,8,2,7]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,4,3,2,1,6,5,8]=>[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,7,3,2,5,4,8,1]=>[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,8,3,2,5,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,2,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,3,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,8,5,4,7,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,6,8,4,3,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,7,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,8,5,7,3,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,7,1,6,8,4,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,6,1,8,3,2]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,8,6,5,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,6,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,4,6,7,1,8,2,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,3,6,1,7,8,2,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,4,7,2,8,1,3]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,8,4,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,2,6,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,3,2,7,1,8,4]=>[6,5,3,2,8,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,4,3,2,1,7,8,5]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,3,4,1,2,8,7,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,8,3,2,7,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,5,8,3,7,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,8,7,3,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,6,8,7,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,5,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,7,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,7,8,5,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,8,6,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,7,8,6,5,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,8,7,5,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,12,9,8,11,10,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,10,7,6,9,8,5,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,7,6,9,8,11,10,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,7,6,11,10,9,8,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,9,8,7,6,11,10,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,4,3,12,9,8,11,10,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,5,4,7,6,3,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,5,4,7,6,3,12,11,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,5,4,7,6,9,8,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,4,7,6,9,8,11,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,4,7,6,11,10,9,8,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,5,4,9,8,7,6,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,4,9,8,7,6,11,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,4,11,8,7,10,9,6,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,4,11,10,9,8,7,6,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,7,6,5,4,9,8,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,7,6,5,4,9,8,11,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,7,6,5,4,11,10,9,8,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,9,6,5,8,7,4,11,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,9,8,7,6,5,4,11,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]
[7,4,6,1,8,3,5,2]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,4,6,2,7,5,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,2,6,8,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,3,1,7,5,2]=>[6,8,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,4,6,5,7,1,8,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,4,1,7,5,3,2]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,5,3,1,8,4,2]=>[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,8,4,2,6,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,7,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,2,1,7,6,8,4]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,3,7,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,2,7,6,8,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,2,7,6,8,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,5,8,2,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,6,5,8,2,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,2,3,1,7,6,8,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,2,1,7,6,8,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,5,2,7,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,5,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,6,2,1,5,8,3,4]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[8,3,1,5,7,6,2,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,6,4,8,2,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,2,6,4,7,1,5,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,3,5,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,3,7,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,5,2,6,8,4,1,3]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[8,2,6,5,7,1,4,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,5,7,6,1,4]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,3,2,7,6,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,2,1,3,7,6,8,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,4,2,3,7,6,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,3,5,7,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,3,5,8,2,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,2,8,4,5,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,8,6,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,2,1,8,3,4,7]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,7,8,2,3,1,5,6]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,8,3,2,1,6,5]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,3,8,1,2,7,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,6,7,2,1,8,5]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,2,5,6,8,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,8,1,2,7,5,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,8,1,6,3,5,2,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,1,3,6,5,2,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,3,6,5,2,1,4]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,7,3,4,8,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,5,7,1,6,2,3,4]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[8,5,7,1,2,6,3,4]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,6,8,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,3,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,2,1,7,3,5,4]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,5,7,1,2,3,6,4]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[8,5,7,2,3,1,6,4]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,4,2,7,1,6,3]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,8,7,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,2,5,4,7,1,6,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,7,6,1,2,4,3,5]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[8,7,6,1,4,2,3,5]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[5,8,4,7,2,1,6,3]=>[5,8,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,8,7,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,4,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,7,3,2,5,1,4]=>[6,8,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,1,7,3,2,5,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[8,5,7,3,1,6,2,4]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,5,7,1,3,2,6,4]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[8,5,7,3,1,2,6,4]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,8,5,1,7,2,6,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,8,1,3,7,2,5,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,6,2,8,1,7,5,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,4,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,5,3,7,2,1,6,4]=>[8,5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,6,1,3,2,4,5]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[8,5,3,2,7,1,6,4]=>[8,5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,8,5,2,7,1,6,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,7,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,2,4,5,7,1,6,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,1,5,2,7,6,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,5,4,2,1,7,3,6]=>[8,5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,5,4,2,1,7,6,3]=>[8,5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,7,4,1,6,3,2,5]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,7,4,1,6,3,5,2]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,7,4,1,6,5,3,2]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,5,4,3,1,7,6,2]=>[8,5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,8,5,3,7,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,5,4,3,1,7,2,6]=>[8,5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[8,7,4,1,6,5,2,3]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,7,4,1,6,2,5,3]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,7,6,5,2,1,4,3]=>[8,7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[8,7,4,3,6,2,1,5]=>[8,7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[8,3,2,7,6,4,1,5]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,7,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,7,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,7,6,4,5,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,7,4,3,6,2,5,1]=>[8,7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[8,7,6,5,2,4,3,1]=>[8,7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[8,7,4,2,6,5,3,1]=>[8,7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,7,4,2,6,3,5,1]=>[8,7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,7,4,2,6,3,1,5]=>[8,7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,3,1,7,6,4,2,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,7,6,4,5,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,7,6,5,4,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,5,4,7,6,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,5,4,7,2,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,7,6,5,2,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,1,7,6,2,5,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,7,4,2,6,1,5,3]=>[8,7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,7,4,2,6,5,1,3]=>[8,7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[8,5,4,2,3,7,1,6]=>[8,5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,3,2,5,4,7,1,6]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,5,4,7,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,7,6,5,1,4]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,7,4,3,6,5,1,2]=>[8,7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[8,7,6,5,3,1,4,2]=>[8,7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[8,7,6,5,1,3,2,4]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[8,7,6,5,1,3,4,2]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[8,7,6,5,1,4,3,2]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[8,7,6,5,4,1,3,2]=>[8,7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]
[8,7,4,3,6,1,5,2]=>[8,7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[8,3,2,7,6,1,5,4]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,7,6,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,7,6,1,4,5]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,7,6,5,1,4,2,3]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[8,7,6,5,1,2,4,3]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,5,6,2,1,8,7,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,5,2,7,4,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,4,3,1,8,6,5,2]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,6,5,1,8,4,3,2]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,4,1,8,5,3,2]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[6,4,2,1,8,7,5,3]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,4,2,7,5,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,7,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,2,1,8,7,6,4]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,7,1,6,8,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,2,8,6,5,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,1,3,4,8,2,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,8,2,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,2,3,1,8,6,7,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,2,1,6,8,7,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,2,5,7,3,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,7,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,3,8,7,5,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,4,6,8,2,3,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,8,2,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,2,3,1,6,4,8,7]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,6,7,3,5,2,4,1]=>[8,6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,5,2,4,1,8,6]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,3,5,2,4,1,8,7]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,4,1,6,3,8,7]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,6,3,5,2,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,8,5,7,3,4,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,7,3,5,2,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,7,4,5,3,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,6,7,3,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,6,7,3,4,1,5,2]=>[8,6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[8,5,7,3,4,1,6,2]=>[8,5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,4,7,3,5,1,6,2]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,8,5,7,3,6,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,5,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,3,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,6,2,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,8,4,7,3,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,4,7,3,6,2,5,1]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,3,6,2,5,1,8,4]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,4,1,7,3,8,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,5,7,3,6,2,4,1]=>[8,5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,5,7,4,6,2,3,1]=>[8,5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,2,3,1,7,4,8,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,5,6,2,3,1,7,4]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,5,6,2,4,1,7,3]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,4,1,8,6,7,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,2,8,6,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,6,3,8,5,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,8,5,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,4,6,2,5,1,7,3]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,7,3,8,4,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,8,5,6,2,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,5,6,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,8,5,6,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,8,5,6,1,3,4,2]=>[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,8,1,3,6,2,5,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,8,4,7,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,4,7,2,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,8,2,5,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,5,4,6,3,2]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,3,5,6,4,1,2]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,8,1,4,2,3,6,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,8,4,3,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,4,8,3,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,8,4,7,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,2,4,7,3,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,5,1,3,6,8,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,3,6,2,4,1,8]=>[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,7,3,6,1,4,8,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,7,2,1,8,4]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,7,2,5,3,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,8,4,2,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,7,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,6,7,8,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,2,7,6,1,4,3,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,7,5,6,8,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,4,5,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,8,5,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,8,5,6,7,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,8,6,1,7,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,7,3,8,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,3,6,2,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,8,6,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,8,6,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,6,5,8,1,3,4,2]=>[7,6,5,8,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[1,6,4,3,8,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,4,8,2,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,3,4,5,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,3,8,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,5,2,7,1,8,4,3]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,6,7,4,2,8,1,3]=>[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,6,4,1,8,3,2]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,7,1,5,2,8,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,7,5,2,4,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,4,2,3,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,3,4,2,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,4,6,1,2,5,3,8]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,1,4,2,5,3,6,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,4,2,5,7,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,4,2,5,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,7,5,4,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,3,7,5,4,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,3,5,6,4,2,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,2,3,4,7,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,5,7,2,3,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,2,3,7,6,4,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,8,3,1,2,4,7,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,4,7,8,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,8,5,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,1,8,6,7,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,8,6,5,3,7,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,8,5,7,6,3,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,4,2,7,5,8,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,6,7,5,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,8,7,6,2,4,1]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,4,7,6,2,1,3]=>[5,8,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,7,4,3,6,1,2]=>[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,3,8,7,2,5,1,4]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,8,3,7,1,6,4,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,3,7,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,6,4,2,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,7,4,1,6,2,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,8,5,3,1,2,7,4]=>[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,6,2,7,5,1,4,8]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,8,1,6,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,5,8,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,5,8,6,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,3,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,7,3,8,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,2,5,4,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,7,2,4,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,8,1,3,7,4,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,1,6,8,3,4,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,8,5,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,3,7,5,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,6,2,8,1,3]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,3,4,6,1,8,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,8,4,7,3,1,6,2]=>[5,8,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,8,3,1,7,5,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,3,8,2,7,1,5,4]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,8,1,2,6,4,7]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,6,2,8,5,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,5,3,1,7,4,2]=>[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,6,3,7,1,2,4,8]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,6,3,7,2,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,2,4,6,7,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,8,4,7,1,5,3,2]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,8,4,7,2,5,3,1]=>[6,8,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,4,8,7,2,6,3,1]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,8,7,1,6,3,2]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,8,4,7,5,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,8,7,6,1,2,5]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,8,7,6,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,8,7,2,6,3,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,4,7,2,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,7,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,2,7,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,7,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,2,7,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,2,7,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,1,8,7,6,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,8,7,6,5,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,1,8,7,6,5,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,2,1,7,5,4,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,8,7,1,6,3,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,8,1,7,6,4,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,8,1,7,6,4,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,8,2,7,6,4,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,8,3,2,7,5,4,1]=>[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,3,1,7,5,4,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,2,1,7,5,4,3]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,5,6,1,2,4,3,7]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,8,1,2,7,5,4,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,8,7,2,6,3,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,3,1,2,6,5,4,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,1,2,7,5,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,3,8,7,6,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,3,7,6,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,2,3,7,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,7,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,6,8,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,8,2,4,7,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,5,2,8,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,6,5,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,2,6,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,5,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,4,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,5,4,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,4,7,3,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,6,3,8,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,5,4,2,8,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,4,7,5,2,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,5,2,8,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,4,5,2,8,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,8,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,3,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,3,8,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,6,5,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,8,6,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,8,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,6,2,1,8,3,4,5]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[1,7,6,4,2,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,2,6,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,5,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,6,5,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,5,3,8,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,3,8,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,6,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,2,7,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,4,2,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,8,6,3,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,3,1,6,2,4,7,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,8,3,2,4,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,7,3,2,4,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,7,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,2,8,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,5,2,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,2,6,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,3,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,5,3,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,8,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,6,3,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,7,3,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,5,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,2,8,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,3,2,6,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,7,3,2,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,7,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,7,5,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,6,3,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,8,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,3,6,5,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,8,6,2,4,1,3]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,1,8,6,3,4,5,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,3,8,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,3,6,8,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,8,7,6,2,4,1,3]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,5,6,2,8,1,4]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,7,6,5,8,3,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,8,4,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,1,6,3,4,2,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,8,6,7,4,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,6,7,9,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,8,10,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[1,8,2,3,4,5,6,9,7]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[8,5,6,3,4,1,7,2]=>[8,5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,6,5,4,3,1,7,2]=>[8,6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[1,7,6,5,4,2,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,5,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,5,4,1,6,3,2]=>[8,7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,8,5,4,2,1,7,3]=>[6,8,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,2,1,7,6,4,5,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,3,7,6,2,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,6,5,2,4,3,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,7,6,3,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,7,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,2,6,4,3,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,3,8,2,7,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,2,1,8,4,7,5,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,8,7,1,6,5,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,2,7,1,6,5,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,7,2,1,6,4,3]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,7,6,1,5,4,3,2]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[1,8,7,2,6,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,2,5,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,8,3,2,1,7,4]=>[6,5,8,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,5,7,3,1,6,4,2]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,6,8,4,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,8,2,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,4,3,7,1,6,5,2]=>[8,4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,4,3,1,2,6,5,8]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[1,5,4,2,3,6,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,2,4,5,3,8]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,7,2,3,6,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,2,3,5,6,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,2,4,3,7,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,3,2,5,6,7,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,2,3,4,6,5,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,7,3,8,5,1,2,4]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,4,5,1,8,3,2]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,8,4,5,7,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,8,6,7,1,2,5]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,8,6,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,8,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,2,8,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,6,8,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,1,6,7,8,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,7,6,8,5,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,7,8,1,6,3,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,2,6,4,8,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,3,1,5,8,4,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,1,8,5,4,3]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,1,2,8,4,5,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,4,8,5,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,8,7,2,3,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,1,2,7,4,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,3,7,5,8,6,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,3,4,7,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,2,3,4,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,4,6,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,6,5,8,7,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,1,4,8,7,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,4,1,8,7,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,3,2,8,1,6,4]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,7,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,4,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,8,3,5,2,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,7,8,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,8,3,2,5,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,2,7,1,8,4,6,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,1,7,8,5,6,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,2,7,8,6,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,5,7,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,8,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,8,2,5,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,8,5,2,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,7,8,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,8,5,3,2,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,4,8,5,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,3,8,4,2,7,1,5]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,7,1,6,8,2,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,3,7,5,2,8,1,4]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,8,4,3,7,2,1]=>[6,5,8,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,2,7,4,3,5,8,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,6,5,4,2,7,3,1]=>[8,6,5,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,6,5,2,8,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,3,4,8,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,8,4,2,7,3,1]=>[6,5,8,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,8,2,6,4,7,3,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,8,5,3,2,6,4,1]=>[7,8,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,8,3,1,7,2,5,4]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,8,6,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,5,2,6,4,3,1]=>[8,7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,8,1,6,3,2,5,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,2,8,5,7,3,6,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,1,5,8,4,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,3,1,8,4,2,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,3,8,4,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,5,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,8,3,5,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,3,1,4,7,5,6,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,5,8,3,6,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,6,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,8,2,7,3,1]=>[6,5,4,8,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[8,6,4,7,5,3,2,1]=>[8,6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,8,3,2,6,4,1]=>[7,5,8,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,4,6,8,2,7,3,1]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,8,7,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,8,6,5,3,2,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,8,7,6,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,7,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,3,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,7,5,3,2,1]=>[6,8,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,8,7,2,5,4,3,1]=>[6,8,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,6,7,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,8,6,7,4,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,6,7,4,5,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,6,7,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,5,7,4,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,8,3,6,4,5,1,2]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,7,4,8,5,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,8,5,6,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,2,8,5,6,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,7,3,8,5,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,8,5,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,1,6,4,5,2,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,7,4,5,2,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,7,4,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,8,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,8,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,7,3,5,2,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,8,4,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,8,4,6,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,1,8,4,6,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,4,7,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,4,7,3,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,5,7,3,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,5,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,7,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,6,7,3,5,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,8,6,7,2,4,1,3]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,6,7,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,5,2,8,6,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,8,5,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,7,1,5,2,3]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,6,2,8,4,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,2,6,1,8,4,5]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,1,6,2,8,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,8,1,5,2,6,3,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,8,2,6,1,7,3,5]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,7,3,6,2,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,5,6,7,8,9]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,8,9,7]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,7,8,9,6]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,6,7,8,9,5]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,5,6,7,8,9,4]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,4,5,6,7,8,9,3]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,3,4,5,6,7,8,9,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,8,9,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,4,5,6,9,8,7]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,9,10,8]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,4,5,8,7,9,6]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,8,9,10,7]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,4,7,6,8,9,5]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,7,8,9,10,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,6,5,7,8,9,4]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,6,7,8,9,10,5]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,5,4,6,7,8,9,3]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,5,6,7,8,9,10,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,4,3,5,6,7,8,9,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,4,5,6,7,8,9,10,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,3,4,5,6,7,8,9,10,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[6,7,4,8,3,5,1,2]=>[6,8,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,5,2,8,1,3]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,4,6,2,3,1,8]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,6,3,8,1,2]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,7,4,8,3,6,1,2]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,8,4,5,3,7,1,2]=>[6,8,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,8,4,6,3,7,1,2]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,4,8,3,7,1,2]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,6,3,7,2,4,1,8]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,7,2,8,1,4]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,8,2,7,1,4]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,4,8,2,7,1,3]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,4,6,2,7,1,3]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,8,4,5,2,7,1,3]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,4,5,2,6,1,3]=>[7,8,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,8,4,5,2,3,1,7]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,8,4,6,2,3,1,7]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,4,8,2,3,1,7]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,3,8,2,4,1,7]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,4,2,8,1,7]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,3,5,2,7,1,8]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,5,2,8,1,7]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,8,2,5,1,7]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,3,6,2,5,1,7]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,8,3,6,2,4,1,7]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,8,3,5,2,4,1,7]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,8,3,5,2,4,1,6]=>[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,3,5,2,6,1,4]=>[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,8,3,6,2,7,1,4]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,8,3,6,2,7,1,5]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,8,2,7,1,5]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,3,7,2,8,1,5]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,6,2,5,1,8]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,6,2,8,1,5]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,8,2,6,1,5]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,7,4,8,2,6,1,3]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,3,6,2,8,1,4]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,6,2,4,1,8]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,3,5,2,4,1,8]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,5,2,8,1,4]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,4,8,2,5,1,3]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,5,8,2,4,1,3]=>[6,8,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,8,5,7,2,3,1,4]=>[6,8,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,4,8,2,3,1,5]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,3,8,2,4,1,5]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,4,2,8,1,5]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,3,4,2,6,1,8]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,3,4,2,8,1,6]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,4,8,2,3,1,6]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,4,7,2,3,1,6]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,8,4,7,2,3,1,5]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,4,6,2,3,1,5]=>[7,8,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,8,3,6,2,4,1,5]=>[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,8,3,7,2,4,1,5]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,8,3,7,2,4,1,6]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,8,3,7,2,5,1,6]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,8,2,5,1,6]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,5,2,8,1,6]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,5,2,6,1,8]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,7,2,6,1,8]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,7,2,8,1,6]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,8,2,7,1,6]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,3,5,2,7,1,6]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,8,3,4,2,7,1,6]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,8,3,4,2,7,1,5]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,8,3,4,2,6,1,5]=>[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,8,3,4,2,5,1,7]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,8,3,4,2,6,1,7]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,8,3,5,2,6,1,7]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,8,2,6,1,7]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,3,6,2,8,1,7]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,5,2,1,8,3,6]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,5,2,1,7,6,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,1,3,8,7]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,4,2,3,1,8,7]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,8,1,7,3,2,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,8,1,6,3,5,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,4,8,1,6,5,3,2]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,8,7,2,1,3,4]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,5,7,6,4,2,1,3]=>[8,5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,6,8,7,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,8,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,8,5,2,4,3,1]=>[7,6,8,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[5,7,8,6,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,7,6,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,8,7,5,3,2,4,1]=>[6,8,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,8,4,2,6,5,3,1]=>[7,8,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,8,7,2,6,3,5,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,6,2,7,3,1,5]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,1,8,7,4,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,8,6,4,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,1,6,7,5,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,8,2,5,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,6,2,8,1,3,5]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,4,2,8,1,5,3]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,8,4,2,7,5,1,3]=>[6,8,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,8,6,7,5,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,6,7,5,1,4]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,6,4,3,7,5,1,2]=>[8,6,4,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,8,6,7,3,1,2,4]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,6,5,8,1,4,3,2]=>[7,6,5,8,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[8,6,5,7,4,1,3,2]=>[8,6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[7,6,4,3,8,1,5,2]=>[7,6,4,3,8,1,5,2]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,7,6,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,8,1,4,2,3]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[1,6,2,5,4,7,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,2,7,5,4,8,3,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,1,5,3,4,8,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,5,6,8,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,4,5,6,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,3,2,7,5,1,8,4]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,1,8,5,2,4,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,6,3,5,4,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,1,2,8,6,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,2,6,8,5,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,3,1,5,2,4,7,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,6,1,5,7,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,5,6,4,2,1,7,3]=>[8,5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,7,5,6,3,2,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,3,6,5,8,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,7,3,2,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,7,3,1,8,4,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,1,3,7,8,5,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,9,6,5,4,3,2,1]=>[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,6,9,5,4,3,2,1]=>[8,7,6,9,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[9,10,8,7,6,5,4,3,2,1]=>[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,10,7,6,5,4,3,2,1]=>[9,8,10,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,4,2,7,8,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,8,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,7,5,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,8,5,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,2,8,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,4,8,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,4,7,5,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,5,4,2,6,8,1,3]=>[7,5,4,2,8,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,7,5,3,4,6,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,6,3,1,8,7,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,2,6,4,3,1,7,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,8,4,3,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,2,3,5,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,1,3,2,5,7]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,8,7,4,3,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,8,2,4,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,8,1,2,7,4,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,7,5,4,2,6,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,2,4,6,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,4,2,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,8,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,6,1,2,8,4,7]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,6,3,2,7,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,5,3,8,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,2,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,1,6,5,2,4,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,5,2,8,7,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,3,1,6,2,5,4,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,5,4,2,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,8,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,6,2,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,5,2,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,8,7,1,3,4,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,8,2,7,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,6,2,8,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,6,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,6,3,4,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,6,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,8,5,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,7,6,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,6,8,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,7,1,8,2,4,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,7,4,3,2,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,7,2,1,3,5,6]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,7,3,4,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,7,8,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,8,1,3,4,7,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,1,8,6,3,4,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,6,8,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,8,5,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,5,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,7,3,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,8,3,4,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,8,7,5,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,8,4,2,6,1,3]=>[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,6,3,7,2,1,5,4]=>[8,6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,3,8,2,1,5,4]=>[7,6,3,8,2,1,5,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,7,8,3,2,1,5,6]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,3,8,2,1,4,5]=>[7,6,3,8,2,1,5,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[8,6,3,7,2,1,4,5]=>[8,6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,4,3,2,1,6,5,7]=>[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,2,1,7,5,8]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,4,3,2,1,8,5,7]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,4,3,2,1,8,5,6]=>[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[8,4,3,2,1,7,5,6]=>[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,4,3,2,1,7,6,5]=>[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,3,2,8,1,6,4]=>[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[8,5,4,2,7,6,1,3]=>[8,5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,4,2,8,6,1,3]=>[7,5,4,2,8,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,5,4,2,8,7,1,3]=>[6,5,4,2,8,7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,4,2,7,8,1,3]=>[6,5,4,2,8,7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[8,5,4,2,6,7,1,3]=>[8,5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,5,3,2,6,1,7,4]=>[8,5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,3,2,6,1,8,4]=>[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,3,2,1,6,8,5]=>[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[8,4,3,2,1,6,7,5]=>[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,4,3,2,1,5,7,6]=>[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,3,2,1,5,8,6]=>[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,4,3,2,1,5,8,7]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,6,3,4,1,2,8,7]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,5,3,7,2,6,4,1]=>[8,5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,5,7,4,2,6,3,1]=>[8,5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,8,4,2,6,1,3]=>[7,5,8,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,1,7,8,5,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,8,3,7,5,1,4,2]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,8,1,6,2,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,4,1,7,6,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,5,7,3,6,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,5,3,8,2,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,8,3,2,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,8,5,2,1,6,7]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,1,3,2,5,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,1,4,2,7,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,5,7,2,6,8]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,5,2,6,8]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,7,2,3,1,5,8]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,1,4,7,5,8]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,4,6,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,8,5,1,6]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,1,5,7,4,8]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,2,1,5,3,7,8]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,1,7,5,3,6,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,4,1,3,7,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,5,1,7,2,3,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,5,2,1,4,7,8,3]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,8,4,5,3,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,8,6,3,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,4,6,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,6,7,2,8,3,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,5,6,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,6,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,8,6,7,3,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,3,2,6,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,6,7,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,6,8,7,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,8,7,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,8,6,7,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,5,6,7,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,6,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,2,5,3,7,1,6,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,2,4,3,7,1,6,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,2,4,7,1,5,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,1,5,6,8,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,8,2,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,2,4,6,1,5,7]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,2,4,7,6,1,5]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,6,1,8,3,7,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,8,4,7,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,2,4,8,6,1,5]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[8,5,6,1,7,3,4,2]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,2,5,8,1,6,7,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,8,4,1,6,7,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,8,2,1,6,3,7]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,2,5,6,1,8,4,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,8,1,6,4,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,8,5,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,5,1,6,7,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,1,6,8,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,5,7,1,6,4,8]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,2,7,8,1,5,4]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,5,2,1,7,8,4,3]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,1,7,5,3,8,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,1,7,4,6,8]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,7,8,4,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,8,1,7,4,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,4,7,5,8,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,2,1,8,4,6,7]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,9,8,7,5,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[1,9,8,6,5,7,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,9,8,5,7,6,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,10,9,8,6,7,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[8,4,5,2,3,1,7,6]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,2,5,3,4,1,7,6]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,5,2,4,1,7,6]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,7,2,4,1,6,5]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,4,5,3,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,6,7,4,5,1,3,2]=>[8,6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[8,6,7,3,5,1,4,2]=>[8,6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[8,5,7,3,6,1,4,2]=>[8,5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,4,7,5,6,1,3,2]=>[8,4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,4,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,2,7,3,6,1,5,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,7,4,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,2,7,3,4,1,6,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,4,7,2,3,1,6,5]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,3,2,8,6,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,6,7,2,3,1,5,4]=>[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,5,7,2,6,1,4,3]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,2,7,5,6,1,4,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,6,7,2,5,1,4,3]=>[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,1,8,6,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,7,5,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,2,7,4,6,1,5,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,4,7,2,6,3,5,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,4,7,2,6,1,5,3]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,5,7,1,6,2,4,3]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,1,8,5,7,3,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,5,7,4,6,1,3,2]=>[8,5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,5,7,1,6,3,4,2]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[8,4,7,3,6,1,5,2]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,8,7,3,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,4,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,8,4,5,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,7,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,8,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,6,8,7,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,7,8,1,4,6,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,2,7,8,5,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,3,8,5,6,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,2,8,5,6,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,2,1,8,5,6,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,7,5,8,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,5,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,5,8,6,3,4,2,1]=>[7,5,8,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,4,8,3,6,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,3,5,6,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,8,4,1,3,2,7]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,6,8,1,5,3,2,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,8,4,5,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,8,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,1,8,5,4,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,3,8,4,6,5,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,8,4,3,6,1,2]=>[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,3,2,8,5,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,3,2,8,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,4,8,5,6,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,8,4,5,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,8,5,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,2,5,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,5,2,4,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,4,8,2,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,2,8,4,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,5,4,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,4,3,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,8,5,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,4,8,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,8,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,5,7,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,8,7,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,2,8,4,3,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,7,2,8,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,4,2,8,3,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,2,8,5,3,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,8,4,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,7,8,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,3,2,4,8,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,2,7,3,5,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,5,8,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,7,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,3,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,8,4,3,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,8,4,7,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,7,4,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,8,6,4,3,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,3,4,1,8,2,6]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,8,3,4,1,7,2,6]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,8,3,4,1,6,2,7]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,1,6,2,8]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,5,1,7,3,8]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,5,1,8,3,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,1,4,5,2,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,8,7,4,3,6,2,1]=>[5,8,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,8,7,4,3,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,8,7,4,1,6,3,2]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,8,3,6,1,4,7,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,8,1,2,5,6,7,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,7,2,4,1,6,3,5]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,8,7,4,2,6,1,3]=>[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,6,8,4,5,7,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,8,3,6,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,8,3,6,1,2,7,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,8,2,5,6,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,1,8,5,6,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,7,6,2,3,8,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,7,3,6,8,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,7,6,8,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,7,1,3,5,8,4,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,8,4,7,6,1,5,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,1,7,6,5,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,7,1,2,8,5,4,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,1,7,6,8,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,2,7,8,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,2,8,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,5,7,1,2,6,4,3]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,4,8,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,8,7,6,1,5,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,2,7,8,1,6,4,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,8,2,7,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,1,2,7,6,5,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,8,3,7,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,8,3,7,6,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,7,2,6,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,7,1,8,2,5,4,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,8,1,2,7,6,5,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,2,3,7,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,8,4,5,2,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,1,5,8,2,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,5,1,8,7,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,1,8,7,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,6,1,8,2,7,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,4,2,8,6,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,2,4,8,6,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,1,4,8,7,5]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,2,1,8,3,7,4]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,4,2,1,3,8,7,5]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,2,4,1,8,7,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,3,6,5,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,5,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,8,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,5,3,8,7,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,8,3,7,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,4,3,8,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,8,5,3,7,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,4,6,8,5,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,8,5,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,8,3,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,8,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,8,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,2,8,7,3,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,8,7,1,3]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,4,6,3,8,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,8,3,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,8,7,5,3,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,6,4,8,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,8,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,8,7,5,1,3]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,2,4,8,7,3,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,4,7,3,8,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,4,5,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,8,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,3,8,2,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,7,4,8,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,4,5,8,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,5,8,2,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,8,1,3,7,2,4,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,3,8,2,4,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,2,4,8,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,8,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,4,2,1,5,8,3,7]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,4,8,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,2,5,1,3,7,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,1,3,8,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,2,1,5,4,8,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,1,5,4,7,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,1,4,5,7,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,4,5,8,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,1,4,7,5,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,1,5,7,4,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,2,5,1,7,3,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,2,5,1,8,3,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,2,1,5,8,4,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,4,8,5,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,5,8,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,1,7,4,5,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,8,4,5,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,8,5,4,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,8,5,7,4]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,8,7,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,6,2,7,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,5,4,8,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,7,5,4,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,6,7,8,5,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,6,3,8,7,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,8,5,4,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,2,5,4,8,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,5,8,3,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,2,5,7,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,2,8,7,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,8,1,2,4,6,5,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,8,6,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,7,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,7,4,3,2,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,8,6,4,3,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,7,6,4,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,5,6,3,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,1,6,5,3,2,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,8,5,6,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,5,6,3,7,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,6,8,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,4,8,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,7,3,8,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,2,3,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,4,5,8,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,4,6,3,2,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,5,7,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,4,3,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,7,8,4,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,8,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,6,5,1,4,3,2,8]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[1,2,3,4,5,6,9,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,8,6,9,7]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,7,5,8,9,6]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,6,4,7,8,9,5]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,5,3,6,7,8,9,4]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,4,2,5,6,7,8,9,3]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[9,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[9,8,7,5,6,3,4,1,2]=>[9,8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[9,8,7,6,5,3,4,1,2]=>[9,8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[9,8,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[9,10,7,8,5,6,3,4,1,2]=>[9,10,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]
[10,9,7,8,5,6,3,4,1,2]=>[10,9,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]
[10,9,8,7,5,6,3,4,1,2]=>[10,9,8,7,5,6,3,4,1,2]=>[9,8,7,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],.],.],.]
[10,9,8,7,6,5,3,4,1,2]=>[10,9,8,7,6,5,3,4,1,2]=>[9,8,7,6,5,3,4,1,2]=>[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]
[10,9,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[3,6,2,5,4,1,7,8]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,7,4,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,3,7,5,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,6,7,2,5,8,1,3]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,7,5,4,3,8,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,3,5,8,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,4,3,6,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,6,3,2,7,1,4,8]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,3,2,7,1,8,4]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,6,2,8,1,7,3]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,2,1,6,4,7,8]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,6,4,3,2,1,7,5]=>[8,6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,4,3,2,1,8,5]=>[7,6,4,3,2,1,8,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,8,4,3,2,1,6,5]=>[7,8,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,4,7,2,1,8,6,3]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,8,3,2,6,1,4]=>[7,5,8,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,3,7,2,5,1,8,4]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,5,7,8,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,8,1,4,5]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,2,1,4,7,6,8]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,8,6,1,4,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,7,3,2,1,5,6]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,5,2,1,4,6,8,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,7,9,8,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[7,8,3,5,4,6,1,2]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,6,3,7,5,2,4,1]=>[8,6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,7,6,3,8,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,8,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,8,7,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,8,5,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,8,7,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,8,7,5,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,4,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,1,8,4,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,5,8,6,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,8,5,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,8,3,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,1,6,2,5,3,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,6,7,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,7,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,5,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,4,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,2,7,1,6,3,5]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,4,7,2,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,7,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,7,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,7,5,6,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,1,7,4,6,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,3,7,4,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,7,2,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,7,2,6,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,7,1,6,4,5]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,7,4,6,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,7,5,6,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,4,7,5,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,4,7,5,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,3,7,5,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,3,7,4,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,8,6,4,1,3]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,1,8,4,5,2,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,7,4,2,5,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,7,4,2,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,3,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,3,5,6,2,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,3,8,6,2,5,1,4]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,5,7,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,2,3,8,5,7,4,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,4,7,8,3,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,3,8,2,5,1,7,4]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,7,4,2,6,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,6,4,1,7,3,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,2,7,5,1,8,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,8,1,7,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,5,6,8,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,3,6,8,4,7,2,1]=>[5,3,8,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,7,2,5,4,8,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,6,5,8,3,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,5,4,7,6,3,2,1]=>[8,5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,6,8,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,8,4,3,6,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,8,2,4,3,5,1]=>[6,8,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,7,6,2,8,3,5,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,3,5,8,6,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,7,3,1,4,6,2,5]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,7,6,3,2,5,4,1]=>[8,7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[8,7,2,5,1,3,6,4]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[8,4,6,5,7,1,2,3]=>[8,4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,8,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,9,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,8,9,2,3,4,5,6,7]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,10,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,2,9,3,4,5,6,7]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,7,9,2,3,4,5,6,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,9,10,2,3,4,5,6,7,8]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[3,6,4,8,7,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,2,4,7,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,4,8,1,5,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,7,2,5,8,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,6,4,8,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,5,4,2,8,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,2,7,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,4,2,6,5,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,6,4,8,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,5,3,2,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,8,5,3,1,7,2,6]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,4,5,3,2,8,1,6]=>[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,8,3,6,1,4,2,7]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,4,6,2,5,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,5,8,1,7,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,8,7,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,6,3,4,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,8,3,6,5,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,8,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,6,5,8,1,4,2,3]=>[7,6,5,8,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[5,8,6,7,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,4,3,7,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,3,4,8,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,5,2,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,3,5,4,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,3,8,2,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,8,5,7,4,3,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,8,2,1,7,4]=>[6,5,3,8,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,8,7,4,1,3,2,6]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,7,8,4,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,7,5,3,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,4,5,3,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,8,4,2,3,1,7]=>[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,7,5,8,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,5,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,1,5,6,2,7,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,5,6,1,7,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,2,5,7,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,6,5,7,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,6,5,8,1,2,4,3]=>[7,6,5,8,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[5,2,8,6,1,7,3,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,2,8,6,5,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,3,6,7,8,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,2,6,7,8,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,8,5,6,3,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,2,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,4,2,6,5,8,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,7,3,5,6,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,4,1,2,8,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,6,1,5,2,8,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,6,4,5,2,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,6,5,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,6,5,7,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,2,6,5,7,1,4]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,8,5,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,7,2,5,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,4,7,1,5,8]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,6,7,5,8,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,2,7,6,5,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,2,6,1,5,3,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,8,1,2,5,6,3,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,6,2,5,7,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,6,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,8,4,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,3,6,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,3,6,2,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,7,4,8,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,7,6,3,1,2,4]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,5,6,8,1,4,3,2]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[1,2,7,8,5,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,3,6,5,8,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,8,1,7,5,2,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,6,1,5,7,4,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,8,6,5,4,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,4,7,5,8,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,5,3,6,2,7,4,1]=>[8,5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,7,4,6,8,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,8,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,6,8,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,5,6,8,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,8,5,6,2,7,3,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,8,1,6,2,4,5,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,4,7,2,5,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,8,3,2,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,2,5,8,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,2,8,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,6,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,2,5,8,7,3,4,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,3,8,7,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,8,7,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,8,6,7,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,8,7,5,6,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,1,6,3,5,8,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,6,4,3,5,8,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,3,5,8,7]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,1,8,3,5,7]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,6,4,3,8,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,4,3,6,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,8,2,1,4,3,5,7]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,1,8,4,6,3,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,8,3,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,8,1,3,5,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,8,3,5,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,3,8,5,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,6,8,5,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,4,3,8,6,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,8,6,5,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,8,3,6,5,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,8,6,3,5,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,4,8,3,6,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,6,3,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,8,2,1,3,5,7]=>[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,8,2,1,3,5,7]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,6,8,4,3,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,6,4,3,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,8,6,2,1,3,5,7]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,5,4,8,3,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,8,4,5,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,8,4,6,3,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,5,2,6,1,7,4]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,2,6,3,5,1,7,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,2,4,3,6,1,7,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,8,5,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,8,5,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,5,6,2,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,2,6,4,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,2,7,4,5,3,8,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,4,8,2,6,1,7,3]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,6,5,8,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,8,7,11,12,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,9,10,8,7,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,9,11,8,12,10,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,10,11,12,9,8,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,7,8,6,5,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,7,8,6,5,11,12,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,7,9,6,10,8,5,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,7,9,6,11,8,12,10,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,7,10,6,11,12,9,8,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,8,9,10,7,6,5,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,8,9,11,7,6,12,10,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,8,10,11,7,12,9,6,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,9,10,11,12,8,7,6,5]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,6,4,3,8,7,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,6,4,3,8,7,11,12,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,6,4,3,9,10,8,7,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,6,4,3,9,11,8,12,10,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,6,4,3,10,11,12,9,8,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,7,4,8,6,3,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,7,4,8,6,3,11,12,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,7,4,9,6,10,8,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,7,4,9,6,11,8,12,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,7,4,10,6,11,12,9,8,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,8,4,9,10,7,6,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,8,4,9,11,7,6,12,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,8,4,10,11,7,12,9,6,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,5,9,4,10,11,12,8,7,6,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,7,8,5,4,3,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,7,8,5,4,3,11,12,10,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,7,9,5,4,10,8,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,7,9,5,4,11,8,12,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,7,10,5,4,11,12,9,8,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,8,9,5,10,7,4,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,8,9,5,11,7,4,12,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,8,10,5,11,7,12,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,9,10,5,11,12,8,7,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,7,8,9,10,6,5,4,3,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,7,8,9,11,6,5,4,12,10,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,7,8,10,11,6,5,12,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,7,9,10,11,6,12,8,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,9,10,11,12,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[4,2,1,8,5,3,6,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,8,4,3,2,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,3,2,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,3,8,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,3,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,7,4,3,5,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,6,4,1,3,8,2,5]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[1,7,5,6,3,2,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,7,8,5,3,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,8,3,7,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,1,7,3,5,8,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,8,7,4,5,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,2,6,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,5,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,6,4,2,5,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,7,6,1,5,3,4,2]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[1,8,6,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,3,5,2,1,4,8,7]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,1,4,6,2,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,4,6,3,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,7,4,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,2,5,7,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,7,6,8,4,2,3,1]=>[5,8,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,7,6,2,1,8,4]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,8,6,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,6,7,5,4,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,8,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,6,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,1,2,8,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,7,2,5,6,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,6,4,7,1,8,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,6,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,7,6,1,5,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,7,6,5,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,7,6,5,4,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,7,2,6,5,3,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,7,2,6,5,1,3]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,7,2,6,1,5,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,7,2,1,6,5,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,7,3,1,6,5,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,8,7,3,2,1,6,5]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,7,3,2,6,1,5]=>[4,8,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,7,3,2,6,5,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,7,3,6,2,5,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,7,3,6,2,1,5]=>[4,8,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,7,3,6,1,5,2]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,8,7,3,6,5,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,8,7,3,6,5,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,8,7,6,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,7,6,3,1,4,2]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,8,7,6,3,2,4,1]=>[5,8,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,7,6,2,4,3,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,7,6,2,1,4,3]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,7,6,4,2,3,1]=>[5,8,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,7,6,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,7,6,4,1,3,2]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,8,7,6,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,3,5,2,6,1,4,8]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,4,5,7,3,2,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,7,3,8,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,5,7,4,8,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,6,7,3,8,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,7,3,8,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,7,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,6,7,8,3,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,6,1,7,8,4,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,6,7,1,8,3,2]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,5,6,7,8,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,4,6,7,2,8,3,1]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,6,2,7,8,4,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,5,2,7,1,8,4]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,2,1,7,8,5]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,4,1,2,7,8,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,3,6,2,7,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,7,2,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,5,7,3,8,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,7,8,3,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,6,7,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,7,8,4,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,6,7,8,5,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,2,5,4,7,6,9,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,4,2,5,3,7,6,9,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,3,2,5,4,7,6,9,8,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,4,3,7,6,8,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,7,5,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,7,2,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,7,4,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,6,5,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,8,2,6,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,8,3,7,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,5,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,4,5,3,6,2]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,4,2,6,3,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,3,8,5,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,3,6,2,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,2,3,6,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,2,3,8,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,3,8,1,4,7,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,2,5,3,8,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,8,3,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,8,3,7,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,8,2,3,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,3,7,2,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,8,1,2,4,7,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,3,8,2,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,8,2,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,8,2,7,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,8,7,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,2,5,8,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,8,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,2,8,7,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,8,7,5,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,5,8,2,7,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,8,7,1,4,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,4,8,7,2,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,8,2,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,2,5,8,7,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,8,1,5,4,2,6,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,3,6,1,4,7,8,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,2,1,7,3,8,5]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,7,5,8,6,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,7,6,5,3,8,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,7,6,5,3,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,2,4,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,6,4,8,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,6,5,2,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,3,2,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,4,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,4,8,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,2,6,3,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,2,6,8,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,4,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,6,3,5,8,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,7,6,5,8,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,6,5,8,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,6,5,8,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,7,3,5,8,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,4,3,2,1,8,6]=>[7,5,4,3,2,1,8,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[8,5,3,2,1,7,6,4]=>[8,5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,2,1,8,4,3,7]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,7,6,2,4,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,7,3,6,4,8,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,8,5,3,6,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,6,2,3,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,3,2,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,3,2,7,1,6,4]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,3,1,6,5,4,2]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,7,2,6,1,5,4,3]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[1,8,5,7,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,7,2,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,2,6,8,4,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,4,8,3,2,1,7]=>[6,5,4,8,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[8,4,3,7,2,1,6,5]=>[8,4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,6,8,2,1,5,7]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,2,5,8,3,1,7]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,5,2,1,7,8,3,4]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,4,2,8,7,3,5,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,5,3,8,7,4,1,2]=>[6,5,3,8,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,5,3,7,6,4,2,1]=>[8,5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,8,1,7,3,6,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,8,2,1,7,5,3]=>[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,3,8,1,6,4,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,8,7,2,1,6,4]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,3,7,6,1,5,4,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,2,7,6,5,1,4,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,8,7,6,2,1,5]=>[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,8,6,4,3,2,1]=>[7,5,8,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,8,7,3,6,4,2,1]=>[5,8,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,8,7,6,2,5,3,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,7,6,5,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,7,6,5,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,6,9,4,7,2,5,1,3]=>[8,6,9,4,7,2,5,1,3]=>[8,6,4,7,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,6,5,4,3,2,9,1,7]=>[8,6,5,4,3,2,9,1,7]=>[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[4,1,2,6,5,3,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,8,3,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,8,7,3,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,8,5,2,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,5,8,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,7,5,2,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,2,3,8,6,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,5,8,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,4,3,7,2,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,1,7,3,4,8,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,4,3,8,2,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,2,3,6,8,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,8,5,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,5,4,3,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,8,3,7,1,4,2,6]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,3,4,6,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,5,6,8,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,6,3,4,8,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,1,2,6,3,5,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,4,8,2,7,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,5,4,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,5,4,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,6,8,4,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,8,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,8,5,7,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,6,8,4,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,4,6,1,5,2,3,8]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,1,4,2,6,3,5,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,4,7,2,3,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,4,2,8,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,8,5,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,7,3,5,4,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,3,6,5,4,2,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,6,5,4,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,2,7,3,5,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,2,3,8,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,2,7,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,2,7,6,3,4,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,8,2,1,7,4,3,5]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,1,6,3,8,5,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,3,8,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,8,7,6,5,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,8,7,6,3,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,8,7,6,5,3,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,8,7,6,5,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,8,7,6,5,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,8,3,7,6,1,4,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,3,8,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,8,1,7,2,3,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,8,1,7,2,6,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,3,2,5,8,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,8,7,4,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,8,7,2,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,8,3,1,7,2,6]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,8,7,6,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,4,8,7,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,8,3,1,7,6,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,3,5,8,7,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,8,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,4,8,2,6,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,3,7,5,2,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,3,7,8,2,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,3,7,4,1,5,2]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,6,8,3,7,5,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,5,7,4,2,6,1,3]=>[8,5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,2,3,5,7,1,6,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,8,3,7,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,5,7,1,2,6,4]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,6,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,8,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,5,6,3,1,7,4,2]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,8,4,5,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,5,7,1,6,2,4]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,8,3,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,3,8,2,7,5,1,4]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,4,2,7,1,5,3]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,6,4,7,3,1,5,2]=>[8,6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,3,2,8,5,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,2,8,4,3,7,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,4,1,8,2,7,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,3,2,7,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,2,6,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,5,6,2,3,8,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,4,6,8,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,8,7,1,2,5]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,1,6,8,7,2,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,3,6,8,7,2,4,1]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,1,8,6,7,3,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,2,8,6,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,7,8,6,5,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,7,8,6,1,5,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,6,8,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,7,3,1,5,2,4,6]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,1,5,8,2,6,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,4,2,3,8,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,7,6,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,4,6,8,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,8,5,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,3,2,8,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,2,8,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,8,7,3,1,5,6,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,4,2,3,8,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,3,8,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,5,8,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,5,8,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,8,3,6,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,8,6,4,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,3,5,8,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,8,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,5,3,1,4,2,6,8]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,4,2,8,6]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,2,8,4]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,4,8,2]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,8,4,6,2]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,8,2,6,4]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,8,2,4,6]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,2,4,8]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,4,2,8]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,8,4,2,6]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,8,6,2,4]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,8,4,2]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,6,8,2,4]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,4,8,2,6]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,4,6,2,8]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,2,6,4,8]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,2,8,4,6]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,2,8,6,4]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,4,8,6,2]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,4,6,8,2]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,2,6,8,4]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,3,1,2,4,8,6]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,6,2,5,4,1,8,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,8,4,7,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,8,3,2,7,6,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,3,8,5,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,6,3,7,5,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,5,3,2,7,6,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,5,8,4,7,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,3,2,8,6,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,8,3,6,5,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,8,3,7,5,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,8,6,7,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,6,7,5,4,1]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,8,5,4,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,6,7,5,4,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,5,4,7,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,8,6,5,4,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,8,7,5,4,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,5,3,2,8,6,1]=>[7,4,8,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,1,7,5,4,8,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,8,3,5,7,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,8,1,2,4,5,7,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[8,3,5,2,4,1,6,7]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,6,8,4,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,8,3,6,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,8,2,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,8,2,6,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,3,2,5,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,7,8,2,6,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,2,7,8,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,4,3,5,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,2,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,6,2,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,8,4,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,2,6,8,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,3,2,7,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,3,2,7,4,1,8]=>[6,5,3,2,8,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,1,7,3,8,5,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,3,7,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,2,8,4,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,7,3,8,5,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,8,2,4,5,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,7,6,1,2,4,5,3]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,4,6,2,5,3,1,8]=>[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,1,8,6,5,4,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,4,3,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,4,3,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,3,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,6,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,7,2,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,3,2,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,4,3,1,8,6,2]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,8,7,2,5,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,8,7,5,2,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,4,8,6,3,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,6,8,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,4,8,7,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,3,8,7,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,8,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,4,8,5,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,7,2,6,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,4,7,5,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,4,1,8,5,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,7,1,5,4,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,2,8,7,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,4,6,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,5,8,6,4,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,7,8,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,4,8,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,8,3,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,6,3,5,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,7,6,3,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,4,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,3,4,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,2,3,5,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,4,5,2,3,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,6,8,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,5,8,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,8,5,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,3,8,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,4,2,6,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,4,6,2,8,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,4,3,8,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,4,3,2,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,5,1,4,8,6,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,4,7,8,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,8,2,4,7,1,5]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,4,2,8,5,1,7]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,6,8,1,3,5,2,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,7,6,8,2,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,1,7,5,6,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,7,6,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,4,7,2,5,3,6,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,8,1,2,3,6,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,6,5,1,3,8,2,4]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,3,4,8,2]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[8,4,5,3,7,2,6,1]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,5,2,8,1,6,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,5,2,7,1,3,6]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,5,2,1,7,4,8]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,5,3,1,4,2,7]=>[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,6,4,8,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,8,2,4,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,2,4,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,2,4,7,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,2,4,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,2,4,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,7,2,4,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,2,4,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,2,4,6,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,8,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,3,2,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,8,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,4,2,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,4,3,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,7,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,3,4,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,2,3,8,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,2,8,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,5,2,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,2,8,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,2,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,6,2,4,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,3,2,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,4,2,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,6,2,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,5,2,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,3,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,3,2,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,4,2,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,2,8,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,4,2,3,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,2,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,2,8,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,3,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,4,2,8,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,7,4,3,5,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,4,3,5,8,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,6,4,3,5,8,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,6,4,3,5,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,4,2,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,8,1,2,6,5,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,8,1,4,2,7,5,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,8,6,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,3,7,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,3,4,7,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,8,6,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,3,8,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,6,8,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,3,4,8,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,2,8,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,7,3,8,2,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,7,5,6,3,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,8,4,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,3,8,5,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,8,3,6,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,3,8,7,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,7,3,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,6,8,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,6,8,4,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,4,7,6,8,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,6,5,8,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,4,6,5,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,4,8,6,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,4,6,5,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,4,7,5,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,2,7,5,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,8,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,5,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,8,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,5,4,6,2,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,1,5,2,4,3,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,2,6,5,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,5,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,6,5,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,6,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,4,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,6,8,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,8,5,6,1,3,2,4]=>[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,8,6,7,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,3,2,7,6,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,3,2,6,4,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,1,6,2,4,3,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,6,7,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,4,2,6,3,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,1,4,2,5,3,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,1,2,4,3,5,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,3,6,5,8,7,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,6,5,7,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,2,3,8,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,5,3,7,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,5,2,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,4,2,6,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,4,3,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,3,2,5,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,2,5,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,4,8,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,3,2,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,4,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,3,9,8,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[7,1,5,4,3,8,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,6,5,4,8,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,1,4,3,2,7,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,8,5,4,3,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,9,6,5,4,3,2,8,7]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,8,7,6,5,4,3,10,9,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,2,4,3,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,10,7,6,5,4,3,2,9,8]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,9,8,7,6,5,4,3,11,10,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[1,3,6,5,4,9,8,7,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[7,6,5,1,3,8,4,2]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[1,6,3,4,8,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,8,3,7,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,2,3,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,4,7,2,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,9,2,5,4,3,8,7,6]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,11,8,7,6,5,4,3,2,10,9]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[7,1,8,2,5,4,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,6,4,7,5,1,8,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,8,7,3,5,6,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,8,7,3,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,8,7,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,8,5,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,8,3,1,5,6,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,1,4,8,5,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,4,5,8,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,6,7,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,8,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,1,5,8,4,3]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,4,1,2,3,8,5]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,7,8,1,3,5,6,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,1,7,2,5,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,4,6,7,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,8,6,2,1,4,7]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,5,2,8,3,1,7]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,8,1,2,4,5,3,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,6,5,8,2,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,8,4,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,3,8,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,3,8,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,3,4,8,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,5,4,3,1,6,7,2]=>[8,5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,5,8,6,3,4,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,8,5,6,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,5,2,8,1,7,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,5,2,3,6,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,2,5,6,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,8,3,5,6,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,8,2,3,6,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,8,1,2,3,7,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,7,3,2,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,2,8,6,1,7,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,2,5,1,6,7,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,8,5,6,7,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,4,8,2,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,4,5,1,8,2,3]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,5,8,4,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,2,3,1,6,5,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,3,4,1,8,2,7]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,8,1,5,3,6,2,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,3,8,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,6,2,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,8,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,4,7,3,5,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,4,5,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,4,8,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,4,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,8,2,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,6,3,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,7,5,6,3,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,5,3,8,2,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,8,6,7,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,2,7,5,6,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,1,7,5,8,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,2,5,4,6,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,1,8,2,7,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,8,6,7,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,2,5,1,8,6,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,2,8,1,6,5,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,5,1,6,4,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,2,8,1,6,3,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,5,8,4,6,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,6,7,2,4,1,5,3]=>[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,7,2,5,1,6,3,4]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[8,7,4,1,2,3,6,5]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,7,4,1,2,6,3,5]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,5,7,4,1,6,2,3]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,5,7,4,1,2,6,3]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,8,3,6,4,1,2,7]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,3,2,6,5,1,4,7]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,6,3,5,1,2,7]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,8,7,3,1,5,2,6]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,7,3,1,4,2,6,5]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,7,3,1,6,2,4,5]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,7,3,1,2,6,4,5]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,7,3,1,2,4,6,5]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,8,5,6,7,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,6,8,5,7,3,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,2,7,3,8,5,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,5,8,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,3,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,6,2,8,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,4,3,8,2,1,5,6]=>[7,4,3,8,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,7,1,4,6,8,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,5,7,1,6,3,2,4]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,6,3,5,8,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,5,8,4,3,7,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,1,6,5,8,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,5,4,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,5,6,2,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,1,2,6,7,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,8,4,7,2,1,3,6]=>[5,8,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,8,4,3,7,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,8,2,6,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,5,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,4,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,4,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,2,6,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,2,3,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,4,6,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,3,5,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,3,6,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,5,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,8,3,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,3,4,6,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,2,4,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,3,1,5,2,8,4]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,3,1,5,2,7,4]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,4,5,1,2,7,3]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,5,1,2,8,3]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,8,6,4,1,7,2,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,7,6,4,1,8,2,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,7,4,1,8,2,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,5,7,4,1,2,8,3]=>[6,5,8,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,5,8,4,1,2,7,3]=>[6,5,8,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,6,8,4,1,7,2,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,8,6,1,7,2,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,3,8,1,6,7,2,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,6,1,8,2,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,6,8,1,7,2,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,8,1,6,2,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,3,7,1,8,6,2,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,8,1,7,6,2,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,8,7,1,6,2,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,5,4,7,3,6,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,7,5,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,6,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,7,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,6,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,5,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,2,3,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,7,5,4,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,6,4,1,5,7]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,2,8,3,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,8,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,6,4,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,6,3,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,8,7,5,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,8,6,4,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,4,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,6,3,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,6,4,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,6,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,8,5,4,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,8,4,2,3,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,8,4,3,5,7,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,8,3,1,6,7]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,1,8,3,5,7,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,7,4,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,8,7,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,6,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,6,3,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,8,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,4,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,4,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,8,4,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,3,8,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,8,3,7,5,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,4,2,7,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,6,3,4,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,8,4,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,7,4,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,7,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,6,7,2,3,5,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,6,7,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,6,7,2,1,3,4]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,6,7,2,1,4,3]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,1,7,5,2,8,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,8,6,7,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,8,6,7,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,6,7,2,4,3,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,6,7,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,2,8,5,6,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,6,7,2,5,3,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,2,8,4,6,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,1,7,4,6,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,3,8,5,2,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,6,7,5,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,2,6,7,5,3,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,7,5,6,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,7,5,2,8,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,5,2,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,6,7,3,2,4,1]=>[5,8,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,6,7,4,2,3,1]=>[5,8,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,6,7,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,8,6,7,4,1,3,2]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,8,6,7,3,1,4,2]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,7,5,3,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,5,3,2,8,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,2,1,6,7,5,3,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,6,7,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,6,7,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,7,8,5,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,4,7,8,5,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,8,4,7,5,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,3,5,7,2,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,8,1,6,5,4,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,3,7,5,8,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,8,6,3,5,2,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,8,6,2,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,2,5,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,3,6,4,5,2,1]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,7,8,6,2,1,4,3]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,7,2,4,5,1,6,8]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,6,4,5,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,1,7,5,2,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,5,8,6,1,2,4,3]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,6,8,7,3,1,4,2]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,4,3,6,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,3,6,7,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,7,3,6,5,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,7,6,3,4,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,8,6,2,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,4,5,6,1,2,7]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,3,5,7,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,4,3,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,5,6,4,3,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,6,5,4,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,8,5,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,5,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,6,5,8,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,1,5,7,2,3,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,2,5,8,6,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,5,8,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,2,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,6,8,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,4,1,8,5,3,2]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,3,1,8,5,2]=>[6,8,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,3,2,5,8,6,1,4]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,7,6,8,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,2,6,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,4,2,8,5,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,2,5,4,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,8,5,4,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,6,8,5,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,6,8,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,8,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,6,3,2,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,7,3,1,8,5,4,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,1,8,5,4,3,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,4,6,7,1,2,8,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,3,6,7,2,1,5,8]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,2,6,7,1,4,8,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,3,8,1,4,2,7]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,8,2,3,1,6,5]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,2,1,3,7,8,4]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,8,3,4,6,2,1,5]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,3,6,4,2,1,5]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,8,3,5,6,2,1,4]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,6,8,4,3,7,1,2]=>[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,2,7,4,1,6,8,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,6,4,3,7,1,2]=>[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,8,7,3,5,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,2,4,3,5,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,8,4,7,3,1,2,6]=>[5,8,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,8,3,7,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,8,2,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,8,2,6,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,3,7,5,6,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,7,3,5,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,4,8,3,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,3,8,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,2,1,8,6,5,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,1,8,2,6,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,7,8,4,1,2,5]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,7,8,5,3,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,8,3,6,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,3,2,8,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,8,7,4,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,8,2,6,5,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,4,7,8,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,7,8,5,2,1,6]=>[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,7,2,8,4,6,5,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,6,8,4,7,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,8,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,8,2,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,4,8,1,6,5,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,8,6,2,4,1,5]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[6,2,8,7,4,3,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,3,4,2,8,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,4,8,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,4,8,6,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,4,8,5,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,3,4,8,6,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,8,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,5,7,3,8,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,8,4,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,8,3,7,2,5,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,4,6,3,2,8,1,5]=>[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,4,3,6,2,7,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,4,3,7,2,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,3,4,1,2,8,6]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,8,3,6,1,5,2]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,3,8,6,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,6,2,1,4,3,8,5]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[1,5,7,3,2,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,3,2,5,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,2,3,6,7,4,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,7,2,3,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,7,4,1,6,8,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,1,8,4,2,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,3,7,5,8,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,8,7,1,5,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,8,3,1,7,5,2,4]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,2,7,8,5,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,4,8,1,6,2,5,3]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,1,8,2,6,5,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,3,8,6,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,7,2,1,4,8]=>[6,5,3,8,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,7,6,2,1,4,8]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,4,2,6,1,3,7]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,8,7,2,5,1,3,6]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,3,2,6,1,4,7]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,2,7,5,1,4,8]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,8,2,6,5,1,4,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,3,7,1,5,8,2]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,4,7,2,1,5,3,8]=>[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,8,7,2,1,5,3,6]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,2,7,1,4,3,8]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,2,7,6,1,4,5,8]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,7,1,5,6,3,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,2,1,6,4,8,7]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,8,2,1,5,4,6,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,7,1,6,4,3,8]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,1,6,5,7,8,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,8,1,6,5,4,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,6,5,7,3,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,7,6,5,8,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,8,1,2,6,3,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,5,7,2,6,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,5,6,2,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,5,6,8,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,8,2,6,7,1,3]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,7,2,3,5,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,7,8,3,5,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,8,1,7,6,3,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,3,6,7,2,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,4,2,8,3,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,2,5,3,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,6,5,4,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,8,6,3,7,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,3,8,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,4,5,3,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,8,3,6,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,7,6,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,5,7,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,8,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,2,4,7,5,1,6]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,8,7,5,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,1,4,5,3,2,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,5,4,3,8,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[8,3,5,6,1,7,4,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,2,4,7,5,1,6,3]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,6,1,5,8,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,8,4,6,5,7,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,8,4,6,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,8,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,8,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,8,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,7,8,6,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,6,8,2,7,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,4,8,2,1,7,3]=>[5,8,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,2,7,8,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,5,2,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,5,8,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,7,8,6,3,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,5,3,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,5,4,2,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,8,6,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,7,2,6,5,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,7,4,1,5,2,8,3]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,6,7,4,5,2,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,7,5,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,3,7,8,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,4,2,1,8,3]=>[6,8,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,7,4,2,5,1,8,3]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,6,7,3,8,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,4,8,1,6,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,4,8,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,2,6,8,4,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,5,6,8,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,6,3,8,2,1,7]=>[4,8,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,7,8,4,5,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,7,1,4,8,6,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,6,3,7,4,8,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,2,1,4,3,8,5]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,7,2,8,4,1,5]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,7,8,6,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,2,1,3,8,5,4]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,1,3,6,8,2,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,2,1,8,4,7,6]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,2,4,5,8,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,2,1,6,8,4,7]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,4,6,5,8,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,5,8,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,1,8,5,2,7,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,3,2,8,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,5,8,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,7,4,1,2,6,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,2,5,8,6,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,3,5,6,8,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,8,6,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,5,6,7,3,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,8,3,5,6,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,3,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,5,3,1,2,8,6]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,2,7,4,1,8,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,2,4,6,7,1,3,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,7,6,1,8,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,3,2,5,8,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,7,3,4,6,2,1]=>[5,8,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,1,6,2,8,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,8,4,2,5,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,4,7,1,8,6,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,3,2,4,6,5,1,7]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,6,4,1,5,2,7]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,4,8,5,7,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,7,5,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,4,8,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,5,8,6,7,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,3,5,8,6,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,5,3,8,4,7,1,2]=>[6,5,3,8,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,2,3,1,6,8,7,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,2,1,8,6,7,4]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,8,2,7,4,1,5]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,1,7,8,4,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,4,5,8,3,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,4,3,7,2,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,4,7,2,3,1,5,6]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,5,3,6,2,7,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,8,7,4,6,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,6,4,5,8,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,4,6,5,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,7,6,8,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,5,2,6,8,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,5,2,6,7,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,6,2,1,3,7,4]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,7,8,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,4,5,6,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,2,6,7,8,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,7,8,4,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,8,4,1,6,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,8,4,1,2,7]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,8,4,1,6,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,1,7,8,5,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,2,1,8,5,4,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,8,4,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,2,1,4,8,6,5]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,1,8,5,6,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,8,4,5,6,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,1,4,5,6,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,5,6,7,8,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,5,7,3,8,6,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,7,8,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,8,5,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,3,8,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,7,8,5,2,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,8,3,5,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,2,8,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,8,3,5,6,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,3,2,5,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,6,3,8,1,2,7]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,7,3,8,1,6,2]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,8,3,2,1,6,7]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,3,2,8,5,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,8,3,2,5,1,7]=>[4,8,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,2,3,1,8,6,5]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,8,3,2,5,6,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,2,3,1,5,6,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,7,2,3,4,8,6,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,2,3,8,4,6,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,1,2,3,4,8,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,8,4,5,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,3,4,5,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,5,7,2,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,8,1,5,7,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,7,5,2,3,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,2,7,5,3,1,6,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,8,6,3,2,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,1,5,3,2,4,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,7,5,3,2,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,6,4,2,3,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,3,6,5,2,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,2,3,6,5,1,7,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,8,6,5,7,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,5,6,7,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,8,7,6,5,3,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,6,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,9,8,7,6,5,4,2,3]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[6,3,2,8,5,1,7,4]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,4,7,2,5,6,3,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,8,6,4,1,3,7,2]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,8,6,1,5,3,7,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,8,5,2,7,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,8,6,7,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,3,5,4,1,7,2]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,5,6,3,4,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,4,2,6,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,8,4,1,7,6,3]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,6,3,4,7,2,5,1]=>[8,6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,3,4,5,1,7,2]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,6,3,2,5,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,6,5,8,2,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,3,5,4,6,8,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,2,5,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,1,5,8,7,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,4,6,8,1,2,7,3]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,8,4,1,3,5,7,2]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,3,5,7,8,6,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,2,7,4,6,1,3,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,3,4,2,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,3,2,4,1,8,6]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,3,6,7,8,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,6,3,2,5,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,5,6,2,7,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,5,2,8,6,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,6,4,5,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,3,6,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,1,7,5,8,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,8,1,4,2,7,3,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,8,2,4,5,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,4,1,6,8,7,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,4,1,7,6,8,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,4,7,3,5,6,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,7,5,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,5,8,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,7,8,5,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,6,8,5,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,5,2,4,8,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,4,8,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,4,8,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,7,5,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,8,5,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,5,8,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,8,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,4,8,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,8,5,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,5,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,8,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,2,6,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,8,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,8,2,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,3,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,7,8,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,8,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,2,4,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,3,4,8,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,7,4,8,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,4,2,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,4,2,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,4,2,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,4,7,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,4,8,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,4,8,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,4,8,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,5,2,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,6,2,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,6,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,6,8,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,5,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,8,5,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,7,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,7,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,8,6,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,8,5,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,8,6,2,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,6,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,6,2,8,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,4,7,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,7,6,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,7,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,8,6,5,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,5,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,2,8,5,7,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,3,8,6,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,8,5,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,6,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,6,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,5,4,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,6,1,7,8,4,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,1,3,7,8,6,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,8,5,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,1,7,8,6,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,1,2,8,6,7,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,3,6,8,5,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,8,6,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,7,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,7,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,5,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,6,8,7,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,9,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,9,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,9,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,9,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,10,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,4,5,9,7,6,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,10,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,4,9,6,5,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,10,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,8,4,5,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,9,5,4,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,10,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,3,4,2,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,9,4,3,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,10,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,4,3,2,5,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,9,3,2,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,10,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[8,7,6,1,5,2,4,3]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[6,8,1,3,2,5,4,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,8,1,4,2,5,3,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,8,1,4,3,6,2,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,5,4,7,6,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,6,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,4,8,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,5,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,8,4,7,1,3,2,5]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,6,8,2,4,1,3]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,7,1,4,2,6,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,2,6,4,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,2,6,1,5,4,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,6,5,8,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,8,4,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,5,8,4,7,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,8,3,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,3,5,1,8,2]=>[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,6,8,3,5,7,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,3,5,6,8,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,3,5,6,7,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,8,3,5,6,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,8,3,6,2,5,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,2,8,4,1,7,3,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,4,2,3,1,6,7]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,4,2,3,1,7,6]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,2,8,5,3,1,7]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,4,2,3,1,6,8]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,3,7,1,8,2,4]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,4,7,1,8,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,7,3,5,8,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,8,3,6,7,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,8,3,7,2,6,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,6,8,2,1,4,7]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,3,5,7,8,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,3,6,8,2,1]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,2,6,5,1,8,7,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,2,5,3,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,2,4,6,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,5,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,2,3,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,6,1,2,4,8,7]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,5,8,4,2,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,8,2,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,7,5,8,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,8,2,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,8,5,2,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,3,7,5,1,2,4,6]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,8,4,2,3,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,8,1,7,4,2,3,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,8,5,4,2,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,4,5,2,3,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,7,8,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,8,1,4,2,3,7,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,8,3,1,2,7,4,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,2,8,4,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,1,4,2,3,8,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,3,6,8,5,7,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,3,6,8,7,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,5,7,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,4,6,2,5,7,3,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,1,4,7,2,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,8,4,6,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,4,8,5,1,6,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,5,4,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,7,5,8,6,4,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,8,7,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,2,7,8,1,6,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,3,7,5,6,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,8,5,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,4,5,8,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,7,4,5,3,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,8,5,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,6,8,7,2,4,1,3]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,8,2,1,5,7,3,4]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,2,4,8,6,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,6,8,4,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,6,8,5,3,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,7,1,3,4,5,8,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,7,3,2,4,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,5,2,8,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,5,3,4,8,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,8,7,3,5,2,6,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,7,6,2,5,3,8,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,5,3,6,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,4,8,6,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,2,4,7,6,3,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,7,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,5,8,2,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,3,8,2,6,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,4,7,2,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,8,4,7,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,6,2,8,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,8,4,5,7,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,5,7,3,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,8,5,4,3,6,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,8,5,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,4,8,6,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,6,5,3,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,8,5,2,7,3,6,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,5,2,8,4,6,1,3]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,1,5,6,8,3,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,8,3,2,7,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,2,7,4,3,6,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,6,4,8,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,2,5,7,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,3,5,7,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,6,4,7,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,4,2,7,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,6,5,2,7,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,4,3,8,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,5,8,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,4,6,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,6,4,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,6,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,4,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,5,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,8,5,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,7,6,8,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,8,3,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,8,5,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,8,5,4,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,4,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,8,2,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,8,2,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,8,3,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,7,4,8,1,2,6]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,6,7,5,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,5,6,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,4,6,8,1,2,7]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,4,7,5,8,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,4,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,7,3,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,7,3,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,6,5,8,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,4,6,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,5,6,8,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,8,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,8,2,5,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,8,2,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,4,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,8,7,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,7,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,8,7,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,7,6,8,5,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,8,5,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,8,7,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,8,7,6,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,7,3,4,5,8,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,5,6,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,7,3,6,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,2,3,8,1,5]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,3,5,2,7,1,4,6]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,1,6,2,3,4,5,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,5,8,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,8,3,6,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,8,4,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,6,8,2,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,4,6,8,2,7,1]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,2,8,7,1,4,6,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,3,7,2,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,7,2,4,5,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,8,2,6,1,3,5]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,7,6,2,3,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,2,3,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,7,2,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,6,1,3,4,5,2]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[3,6,2,4,7,1,8,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,6,4,8,5,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,8,3,7,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,10,6,9,4,7,2,5,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,7,10,5,9,3,8,6,4]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,6,10,4,9,8,7,5]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,4,5,10,9,8,7,6]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[3,4,1,6,5,8,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,4,8,7,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,2,7,4,1,3,6,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,6,5,2,8,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,6,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,7,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,6,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,5,8,6,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,8,3,7,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,6,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,6,7,5,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,2,6,8,5,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,2,4,3,6,1,5,7]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,8,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,3,2,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,3,4,2,5,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,6,1,4,2,7,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,8,5,7,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,5,6,1,4,2,3,7]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,6,4,5,7,2,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,3,6,8,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,8,7,6,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,5,8,6,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,5,8,7,3,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,4,6,1,7,3,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,3,6,8,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,6,8,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,3,7,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,6,5,2,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,2,6,5,4,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,7,5,2,6,3,1,8]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,4,7,6,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,2,5,1,6,4,3]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,8,2,6,5,1,7,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,5,2,6,1,7,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,3,6,2,8,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,4,7,3,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,2,6,5,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,7,8,2,6,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,2,8,6,1,7,5,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,7,2,6,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,6,3,8,4,1,7,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,8,6,5,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,7,5,1,6,4,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,8,6,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,3,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,7,4,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,5,1,2,8,6,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,6,2,8,5,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,2,3,8,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,2,6,5,4,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,8,1,6,2,7,5,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,5,1,2,7,6,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,3,7,4,8,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,8,2,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,3,4,7,5,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,4,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,5,8,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,4,2,8,1,5]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,6,4,5,2,8,1,3]=>[7,6,4,8,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[6,5,4,2,7,3,1,8]=>[6,5,4,2,8,7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,5,3,4,8,2,7,1]=>[6,5,3,8,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,3,1,7,2,5,4,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,5,2,6,4,3,1,8]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,1,6,2,5,4,3,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,6,8,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,4,2,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,7,3,4,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,8,3,5,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,6,8,2,7,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,8,3,7,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,6,8,2,7,3,1,5]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,8,7,3,4,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,8,1,7,2,5,4,3]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,8,7,4,5,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,6,4,3,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,5,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,2,4,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,5,3,2,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,6,5,2,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,3,2,5,4,7,1]=>[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,8,4,5,2,3,7,1]=>[6,8,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,7,8,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,4,8,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,3,2,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,6,5,3,7,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,7,6,3,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,7,5,6,1,2,8]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,5,8,6,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,5,6,8,7,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,2,1,7,6,5,9,8,10]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,9,6,5,8,7,10]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,7,6,5,10,8,9]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,8,6,5,10,7,9]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,10,6,5,9,7,8]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,8,7,5,10,6,9]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,10,7,5,9,6,8]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,10,9,7,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,8,7,5,6,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,10,7,5,9,6,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,10,9,8,5,6,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,5,3,4,8,7,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,6,5,3,4,10,9,7,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,8,5,3,7,4,6,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,10,5,3,7,4,9,6,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,10,5,3,9,8,4,6,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,8,7,6,3,4,5,10,9]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,10,7,6,3,4,9,5,8]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,10,9,6,3,8,4,5,7]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,10,9,8,7,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,6,5,8,7,12,11,9,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,10,9,7,8,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,12,9,7,11,8,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,6,5,12,11,10,7,8,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,8,7,5,6,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,8,7,5,6,12,11,9,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,10,7,5,9,6,8,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,7,5,9,6,11,8,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,7,5,11,10,6,8,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,10,9,8,5,6,7,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,9,8,5,6,11,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,11,8,5,10,6,7,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,4,3,12,11,10,9,5,6,7,8]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,3,4,8,7,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,3,4,8,7,12,11,9,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,3,4,10,9,7,8,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,3,4,12,9,7,11,8,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,6,5,3,4,12,11,10,7,8,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,5,3,7,4,6,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,5,3,7,4,6,12,11,9,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,5,3,7,4,9,6,8,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,3,7,4,9,6,11,8,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,3,7,4,11,10,6,8,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,5,3,9,8,4,6,7,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,3,9,8,4,6,11,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,3,11,8,4,10,6,7,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,5,3,11,10,9,4,6,7,8]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,7,6,3,4,5,10,9,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,8,7,6,3,4,5,12,11,9,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,7,6,3,4,9,5,8,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,7,6,3,4,9,5,11,8,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,7,6,3,4,11,10,5,8,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,9,6,3,8,4,5,7,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,9,6,3,8,4,5,11,7,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,6,3,8,4,10,5,7,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,6,3,10,9,4,5,7,8]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,10,9,8,7,3,4,5,6,12,11]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,9,8,7,3,4,5,11,6,10]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,8,7,3,4,10,5,6,9]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,10,7,3,9,4,5,6,8]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,12,11,10,9,8,3,4,5,6,7]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[2,1,7,3,8,4,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,2,7,3,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,8,3,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,3,2,8,4,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,2,4,3,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,8,3,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,4,3,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,4,3,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,5,3,8,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,8,3,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,2,6,3,5,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,2,7,5,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,4,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,4,7,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,2,6,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,4,8,1,5,2,3,6]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,7,2,6,3,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,8,3,2,4,1,6]=>[7,5,8,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,8,5,4,3,6,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,3,7,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,7,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,2,5,3,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,4,2,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,3,2,5,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,8,2,1,3,7,5]=>[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,3,2,5,8,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,6,2,5,7,8]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,4,8,2,1,7,3,6]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,7,8,3,6,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,6,7,3,5,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,5,2,7,6,8]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,5,3,2,8,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,5,2,6,8,7]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,8,1,3,2,4,6,5]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,2,3,7,1,8,6,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,5,7,1,8,4,6]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,2,7,8,6,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,4,6,8,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,4,6,8,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,3,2,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,6,2,7,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,5,7,6,8,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,5,7,6,2,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,2,1,8,7,5,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,7,2,5,1,3,8]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,8,1,3,2,4,5,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,2,3,6,1,4,7,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,7,1,5,2,3,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,3,5,8,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,5,6,1,4,7,8]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,1,4,7,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,4,6,7,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,4,6,7,2,3,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,3,2,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,6,2,4,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,3,5,2,4,1,6,8]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,6,7,5,2,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,7,2,5,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,6,2,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,1,7,2,6,8,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,3,2,1,7,4,8,6]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,4,5,8,7,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,5,4,6,8,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,4,5,8,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,5,6,8,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,6,5,8,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,4,5,2,6,8,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,2,1,4,7,8,6]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,1,5,2,6,8,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,6,8,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,4,6,5,8,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,3,2,5,6,8,1,4]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,1,5,4,6,8,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,4,6,5,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,8,6,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,5,8,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,4,6,8,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,7,6,1,8,2,5,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,8,6,1,7,5,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,8,2,6,1,5,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,8,6,3,5,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,8,6,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,8,3,6,7,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,8,6,3,5,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,4,5,7,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,8,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,7,3,6,8,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,3,7,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,5,7,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,5,6,8,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,5,7,4,6,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,7,3,6,4,5,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,8,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,4,7,5,1,6,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,4,3,6,1,7,5,2]=>[8,4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,8,3,6,4,5,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,7,4,5,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,7,4,5,6,8]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,6,8,4,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,3,7,4,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,6,7,4,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,8,4,5,6,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,8,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,5,7,2,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,6,8,4,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,8,3,6,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,7,8,3,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,4,8,6,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,8,4,3,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,5,3,7,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,2,8,4,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,6,3,8,5,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,5,3,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,8,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,7,8,6,3,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,2,8,4,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,7,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,3,2,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,2,8,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,2,4,5,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,3,5,6,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,8,7,4,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,2,6,4,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,2,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,4,3,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,6,4,7,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,5,3,8,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,5,3,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,3,7,5,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,7,5,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,4,8,6,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,2,7,6,4,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,6,3,2,5,4,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,4,3,6,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,5,3,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,3,4,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,7,4,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,1,4,8,5,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,8,6,1,2,3,7]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,6,8,7,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,8,2,7,4,3,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,8,6,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,6,3,5,8,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,3,8,6,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,5,3,2,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,2,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,2,7,6,5,8,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,8,4,3,6,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,6,7,3,2,8,1,4]=>[5,8,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,2,1,4,8,6,7]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,6,2,8,1,5,4,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,3,2,6,8,5,1,4]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,8,5,2,4,6,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,2,3,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,4,2,8,3,5,1,7]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,5,4,8,3,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,4,6,3,7,2,5,1]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,5,6,8,3,4,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,4,6,2,7,5,3,1]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,5,6,7,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,6,8,4,3,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,8,2,4,1,3]=>[7,5,8,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,4,6,2,8,5,1,3]=>[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,2,8,1,3,6]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,2,8,1,6,3]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,5,6,7,8,9,2,4]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,4,5,6,7,8,2,9,3]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,4,5,6,7,8,9,10,2,3]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,3,4,5,6,7,8,9,10,11,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[1,3,4,8,2,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,1,6,2,5,7,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,6,2,1,5,7,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,1,7,5,8,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,6,8,5,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,6,8,2,1,5,7,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,8,2,1,3,5,7,4]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,8,2,3,5,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,5,2,6,1,3,8]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,8,1,5,3,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,2,7,1,3,8]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,7,4,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,3,8,4,1,5,2]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,8,4,5,6,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,8,3,6,7,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,5,8,3,7,6,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,6,5,1,2,3,8,4]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,4,2,8,3]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,4,2,3,8]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,2,4,3,8]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,2,4,8,3]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,3,2,8,4]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,3,2,4,8]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,3,4,2,8]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,4,3,8,2]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,2,8,4,3]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,2,8,3,4]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,8,2,4,3]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,8,2,3,4]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,8,3,2,4]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,4,8,2,3]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,4,8,3,2]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,8,3,4,2]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,1,8,4,2,3]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,1,7,6,2,8,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,4,2,5,8,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,6,4,5,7,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,3,4,7,5,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,8,6,1,7,3,2,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,8,4,5,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,2,3,8,4,7,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,1,3,8,6,4,5,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,6,7,2,5,8,3,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,4,2,8,3,1,7]=>[6,5,4,2,8,7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,7,6,2,8,1,5,3]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,2,1,8,6,7,5]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,4,8,7,5,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,8,3,7,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,8,3,6,4,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,5,3,6,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,4,5,6,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,4,2,5,3,1,8]=>[6,8,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,2,5,6,4,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,8,5,2,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,1,2,3,7,5]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,8,5,6,3,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,8,2,5,6,4,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,5,2,7,6,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,2,4,6,7,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,3,6,7,8,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,4,6,3,2,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,2,6,4,1,7,8,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,6,7,8,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,3,1,6,7,8,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,3,2,6,7,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,5,4,6,1,2,8,3]=>[7,5,4,8,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,2,5,6,1,7,8,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,7,5,6,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,2,7,5,6,1,3,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,6,2,3,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,6,4,7,3,1,2,5]=>[8,6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,1,5,3,8,2]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,7,4,2,3,6,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,3,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,1,5,4,7,3,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,8,1,5,6,4,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,4,1,2,5,3,7]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,6,4,1,5,2,8,3]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[3,5,1,4,6,7,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,4,3,5,2,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,8,7,3,2,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,2,8,6,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,8,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,5,1,3,8,6,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,6,1,5,3,2,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,7,4,8,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,8,6,3,7,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,6,8,5,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,3,7,2,4,8,1,5]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,8,4,2,7,3,1]=>[5,8,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,4,2,8,1,3,6]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,2,7,1,3,8,4]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,5,4,3,2,1,9,8,7,10]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[6,5,4,3,2,1,8,7,9,10]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[4,3,2,1,8,7,6,5,9,10]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,7,6,5,10,9,8]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,7,6,5,8,9,10]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,6,5,8,7,9,10]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,6,5,7,8,9,10]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,8,7,9,10]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,6,5,7,8,9,10]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,4,3,5,6,7,8,9,10]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[3,7,2,4,6,5,1,8]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,8,4,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,5,2,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,1,4,2,5,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,5,3,6,8,2,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,4,6,3,8,5,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,2,6,4,1,8,7,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,1,8,7,6,4]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,3,2,8,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,2,7,6,5,1,3,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,2,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,3,1,5,4,2,8]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,8,1,5,6,4,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,4,1,2,5,7,3]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,6,4,1,5,2,3,8]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[3,5,1,4,6,7,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,8,2,1,3,7,6]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,5,8,7,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,3,5,4,6,2,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,3,2,5,7,6,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,3,5,2,4,7,6,9,8]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[4,6,7,3,1,5,2,8]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,8,1,3,5,2,7,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,8,3,1,4,5,7,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,8,3,5,7,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,3,2,6,8,1]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,7,2,3,6,8,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,1,6,8,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,6,5,8,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,2,8,5,7,3,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,3,8,5,2,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,3,7,8,2,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,6,7,1,8,4,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,6,2,7,8,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,3,4,8,7,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,8,1,4,2,3,5,7]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,8,2,3,6,5,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,2,3,6,4,1,5,7]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,4,3,6,2,1,5,7]=>[8,4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,3,6,2,4,1,5,7]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,8,2,4,1,5,7]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,4,7,8,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,4,2,7,5,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,2,5,6,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,4,2,7,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,3,6,2,8,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,5,2,4,8,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,2,8,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,4,2,5,6,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,8,5,3,1,6,2,7]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,2,8,5,7,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,6,8,7,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,4,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,4,5,8,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,7,3,5,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,7,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,3,5,7,8,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,2,5,4,1,7,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,3,5,2,8,1,7]=>[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,5,3,8,4,2,1,7]=>[6,5,3,8,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,8,1,7,5,6,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,6,7,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,7,2,6,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,4,8,6,2,3,7,1]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,3,6,5,8,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,6,3,5,8,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,6,5,7,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,3,5,7,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,4,3,8,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,8,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,6,8,1,3,5,7,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,8,3,5,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,6,3,8,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,6,8,3,5,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,8,5,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,3,6,8,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,8,6,5,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,3,6,5,7,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,5,7,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,8,3,6,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,6,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,6,3,5,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,8,6,1,3,5,7,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,8,1,4,3,5,7,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,6,8,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,4,3,5,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,1,7,2,5,3]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,8,1,4,5,3,7,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,4,5,3,2,8]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,1,5,4,6,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,1,5,4,6,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,6,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,1,4,5,3,8,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,8,1,5,4,6,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,2,7,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,8,2,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,3,1,4,2,5,7]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,4,2,8,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,5,4,7,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,7,6,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,6,8,7,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,3,1,4,7,2,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,8,1,4,5,3,2,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,8,1,5,4,7,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,8,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,5,4,7,2,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,3,1,4,2,5,8]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,3,1,4,2,7,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,4,5,2,8]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,5,4,2,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,1,5,4,2,7,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,3,1,4,7,5,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,1,5,4,8,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,8,5,7,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,2,5,8,7,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,4,2,8,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,3,1,4,5,8,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,3,1,4,5,2,7]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,8,1,5,4,2,6,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,7,8,6,5,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,7,2,5,8,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,2,5,8,4,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,8,7,4,5,3,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,8,6,2,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,7,1,8,6,3,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,5,2,8,1,7,3,4]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,3,2,8,4,1,7,5]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,2,8,3,1,7,6]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,7,8,6,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,3,2,4,8,1,5,7]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,8,7,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,8,4,6,3,5,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,6,3,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,6,3,2,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,8,6,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,8,4,5,2,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,2,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,7,6,4,8,5,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,6,8,7,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,6,8,5,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,4,3,6,2,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,1,6,8,5,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,8,4,5,2,6,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,4,6,5,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,4,5,2,3,6,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,4,6,3,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,2,4,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,5,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,5,4,3,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,2,4,7,3,6,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,8,3,2,4,7,5,1]=>[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,2,8,6,1,5,4,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,3,6,2,4,8,7,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,2,8,6,1,4,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,5,1,4,8,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,2,6,3,4,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,3,6,4,8,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,5,8,3,4,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,5,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,3,5,8,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,4,8,1,3,6,2,5]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,1,2,3,5,8,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,5,4,8,1,3,2,6]=>[7,5,4,8,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,5,2,6,7,1,8,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,1,6,5,2,7,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,3,1,7,2,4,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,5,6,1,8,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,8,4,2,5,1,7,3]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,5,3,8,4,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,1,4,7,2,6,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,3,6,4,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,8,3,5,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,2,5,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,4,6,1,5,2,3]=>[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,8,7,6,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,7,4,8,1,5,2,3]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[8,3,2,4,7,1,5,6]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,6,8,7,1,4,2,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,2,4,6,1,5,7,8]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,8,5,4,6,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,8,5,2,3,6,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,5,3,8,4,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,8,3,1,5,4,2,7]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,2,1,5,8,4,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,1,3,2,8,6,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,2,8,3,4,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,7,2,1,5,3,4,8]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,7,8,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,7,1,4,5,6,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,6,4,5,8,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,5,1,4,7,6,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,8,7,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[8,3,1,4,5,6,7,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,5,8,4,3,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,3,1,5,4,6,7,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,5,6,3,8,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,2,5,8,3,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,6,8,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,5,1,7,4,6,8,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,5,6,4,8,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,6,5,4,8,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,6,8,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,3,1,6,5,8,7,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,6,4,5,2,8,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,2,6,3,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,4,8,6,3,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,5,6,7,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,3,5,6,7,2,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,5,8,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,3,6,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,6,7,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,1,5,6,7,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,8,2,5,6,7,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,1,4,3,6,2,5,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,3,1,8,5,7,6,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,8,7,5,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,3,5,8,2,7,1,4]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,4,8,6,2,3,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,4,5,8,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,8,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,3,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,5,6,7,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,8,5,6,7,3,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,5,6,7,3,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,3,8,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,8,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,4,8,6,1,2,7]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,8,5,6,7,2,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,8,5,6,7,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,2,6,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,6,2,8,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,3,7,2,4,8,6,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,7,6,1,4,5,2,3]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[8,7,6,1,3,2,5,4]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[8,7,4,5,1,6,2,3]=>[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,5,6,4,1,7,2,3]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,5,6,3,1,2,7,4]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,4,6,2,3,1,7,5]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,4,2,3,1,8,5]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,5,3,1,2,8,4]=>[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,2,4,3,8,7,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,1,3,4,8,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,8,2,1,3,4,5,7]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,1,8,4,5,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,6,3,7,5,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,3,7,8,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,3,8,6,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,7,8,6,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,8,3,5,6,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,6,7,5,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,7,5,6,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,6,8,7,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,3,8,7,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,3,5,6,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,6,2,7,3,5,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,3,6,5,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,3,6,8,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,8,6,7,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,7,6,5,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,5,7,6,8]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,5,8,6,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,8,3,7,6,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,3,5,6,8,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,2,1,3,6,8]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,6,8,4,5,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,6,4,2,3,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,4,6,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,5,1,6,7,3,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,8,5,2,1,6,7,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,4,6,2,5,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,1,4,6,2,5,7]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,8,2,6,4,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,1,2,8,4,7,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,8,5,1,7,4]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,7,3,6,5,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,7,2,4,1,6,5,3]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[1,8,7,2,3,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,2,6,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,8,2,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,3,6,4,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,3,2,4,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,2,8,4,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,7,2,4,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,7,2,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,8,1,3,2,5,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,4,2,3,5,6,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,3,8,4,6,7,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,8,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,5,7,1,6,4,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,7,6,1,4,5,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,7,2,3,6,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,7,1,8,2,6,4,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,4,8,1,2,3,6,5]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,7,4,6,1,2,5,3]=>[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,6,1,2,8,3,5]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,8,6,1,2,3,7,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,3,8,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,6,8,7,5,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,4,8,5,2]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,6,3,8,7,1,4,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,4,1,2,8,3,5]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,1,2,5,3,8]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,4,6,3,5,7,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,3,7,2,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,2,3,4,5,1,7,6]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,3,4,2,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,2,3,1,6,5,4]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,8,2,4,6,1,7,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,8,2,3,1,7,6]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,4,7,5,3,6,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,2,5,4,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,1,8,3,7,5,4,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,8,2,5,6,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,5,2,8,1,6,7,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,8,5,1,6,7,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,8,2,5,7,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,8,5,6,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,7,4,1,6,5,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,4,8,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,6,8,4,1,7,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,6,1,3,2,7,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,1,2,6,3,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,7,1,4,2,5,3,8]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,8,1,2,5,3,6,4]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,6,7,5,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,7,5,3,8,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,2,6,5,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,4,8,2,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,8,2,6,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,3,2,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,3,5,7,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,4,8,3,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,8,4,2,6,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,2,3,5,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,6,7,5,8,3,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,7,5,2,8,4,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,2,5,6,1,4,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,8,6,4,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,5,7,3,8,6,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,6,8,3,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,8,1,6,3,2,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,3,8,2,6,1]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,1,3,5,4,8,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,4,5,7,3,8,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,6,3,7,8,5,2,1]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,6,7,8,4,2,1]=>[5,3,8,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,3,6,7,8,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,1,3,2,8,4,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,2,6,3,7,8,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,7,4,1,8,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,1,8,3,4,2,5,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,7,8,3,2,5,1,4]=>[6,8,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,6,2,7,1,8,5,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,7,4,8,5,2,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,8,5,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,7,8,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,7,2,1,8,5,3,4]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,7,4,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,4,6,3,5,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,4,6,2,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,4,3,6,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,5,3,6,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,3,4,7,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,4,6,3,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,4,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,6,2,7,1,4,5,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,7,4,6,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,5,2,6,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,2,7,1,3,8,6]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,3,7,1,8,2]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,4,8,1,3,7,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,5,4,8,3,7,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,5,2,4,7,1,6,8]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,3,7,8,2,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,4,2,8,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,2,8,6,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,3,7,8,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,6,8,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,2,7,1,8,6,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,5,7,8,1,2]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,6,7,3,8,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,2,3,1,8,7]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,2,5,3,8,7,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,5,8,7,3,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,5,2,3,8,7,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,8,7,2,4,5,3,1]=>[6,8,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,4,8,7,5,3,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,6,8,7,5,3,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,5,8,7,3,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,4,5,8,7,3,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,2,3,6,8,7,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,8,7,4,5,3,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,1,6,8,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,8,6,7,5,3,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,8,4,7,5,3,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,8,2,7,5,3,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,8,7,2,5,3,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,8,2,7,3,1]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,6,8,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,6,4,7,5,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,8,6,2,7,5,3,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,5,7,4,8,3,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,3,2,5,8,4,1]=>[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,6,3,5,8,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,3,5,2,4,8,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,4,6,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,6,8,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,8,2,5,3,7,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,8,1,5,4,3,6,2]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,8,5,4,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,1,7,4,2,5,6]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,8,5,6,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,8,4,7,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,6,8,3,2,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,8,1,3,2,6,5]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,8,3,1,2,6,5]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,7,8,2,1,3,6,5]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,6,8,2,3,7,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,2,8,1,3,7,5]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,8,4,7,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,2,5,8,3,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,4,1,3,8,7,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,2,4,8,7,1,6]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,1,4,8,7,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,8,7,1,2,4]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,4,1,5,8,7,2,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,3,5,8,2,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,6,8,2,1,7,5]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,2,1,4,8,7,6]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,2,5,8,7,1,6]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,3,1,4,8,7,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,5,7,4,2,8,3,1]=>[6,5,8,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,2,3,7,8,4,5,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,5,6,7,3,4,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,8,4,7,2,6,1]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,2,6,4,7,1,3,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,8,5,1,7,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,1,8,2,6,7,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,4,6,3,7,1,5,2]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,1,8,7,5,6,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,3,6,7,1,5,4,2]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,7,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,3,8,4,2,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,6,1,3,5,2,7]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,8,3,2,4,7,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,4,3,8,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,2,1,6,4,5,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,8,3,2,1,5,7]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,5,3,8,7,6,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,1,5,7,4,6,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,4,8,3,7,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,8,3,1,6,5,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,8,2,1,7,4,5,3]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,1,6,4,2,8,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,1,2,7,5,8,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,5,8,7,4,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,7,2,4,6,1,8,5]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,8,1,7,6,3,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,8,7,5,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,7,4,2,5,1,3,8]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,5,1,6,2,8,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,4,6,3,1,8,2]=>[5,8,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,2,7,3,1,6,8]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,8,4,5,7,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,7,4,5,3,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,8,4,3,5,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,4,2,8,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,7,3,5,4,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,8,7,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,8,5,6,3,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,8,3,4,5,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,4,6,5,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,6,5,3,4,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,5,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,2,1,7,5,8,3,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,5,6,8,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,6,7,5,8,2,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,7,3,6,5,2,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,8,7,4,5,3,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,7,4,3,5,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,4,2,6,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,7,3,6,2,5,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,7,6,1,2,4,3]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,8,7,6,2,1,3,4]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,2,6,8,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,2,7,3,6,5,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,2,4,5,6,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,4,1,6,7,5]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,8,6,5,3,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,2,1,4,6,7,5]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,5,4,6,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,7,5,6,3,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,8,7,3,4,5,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,2,4,6,5,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,8,7,6,1,3,4,2]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,8,7,6,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,5,6,2,3,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,1,5,2,6,4,7]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,7,5,3,4,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,7,5,4,3,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,6,3,2,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,7,6,1,3,2,4]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,8,7,6,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[8,4,7,2,5,1,6,3]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,1,2,6,8,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,2,3,4,8,1,6]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,1,3,8,4,2,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,8,6,5,4,2,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,2,3,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,2,5,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,8,3,5,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,5,8,6,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,6,4,2,8,1,3]=>[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,3,7,8,6,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,8,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,4,8,5,1,2,7]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,8,3,4,2,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,8,5,2,1,3,6,7]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,1,6,2,5,4,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,4,5,2,6,8]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,2,1,5,4,7,8]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,1,6,7,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,2,1,3,7,4,8]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,1,2,8,3,5,4]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,1,2,5,4,3,8]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,2,6,1,3,7,4,8]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,6,1,2,7,4,8]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,2,7,5,4,1,3,6]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,5,6,2,7,1,4,3]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,6,1,5,3,8,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,7,6,4,1,3,8,2]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,8,6,7,1,5,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,8,6,4,1,2,7,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,8,7,2,1,6,3,4]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,1,2,8,5,6,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,8,6,2,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,6,3,4,8,1,7,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,8,1,5,3,7,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,4,8,7,1,5,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,8,2,4,3,6,7,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,1,8,4,3,5,2]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,7,6,3,8,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,7,6,5,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,8,7,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,8,5,1,6,7,2,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,1,8,6,7,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,6,3,2,8,1,4,7]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,8,7,5,1,6,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,4,8,7,5,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,8,2,6,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,5,8,2,6,7,3,1]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,8,1,6,7,3,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,8,1,4,6,7,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,8,6,2,5,3,1,7]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,4,3,2,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,2,8,4,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,4,3,1,2,6,8]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,7,4,3,8,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,4,2,7,6,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,3,7,2,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,6,8,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,1,6,7,2,5,4]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,7,6,1,2,5,3,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,5,4,8,3,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,4,8,2,1,3,6]=>[5,8,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,8,2,5,1,3,7]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,6,3,8,5,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,6,8,4,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,3,6,1,7,4,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,6,4,1,8,5,2,3]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[1,6,4,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,1,2,7,5,3]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,4,8,1,6,3,5,2]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,1,8,2,4,7,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,8,7,6,2,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,8,7,2,4,6]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,5,8,6,4,3,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,8,7,6,2,5,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,4,5,2,3,7,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,5,2,4,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,7,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,7,3,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,4,2,6,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,8,4,7,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,5,6,2,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,8,4,6,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,9,6,7,4,5,2,3,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,6,7,8,9,4,5,2,3,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,9,4,5,6,7,2,3,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,4,7,8,5,6,9,2,3,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,4,5,6,7,8,9,2,3,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,9,6,7,2,3,4,5,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,6,7,8,9,2,3,4,5,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,9,2,5,6,3,4,7,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,7,8,5,6,3,4,9,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,5,6,7,8,3,4,9,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,9,2,3,4,5,6,7,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,7,8,3,4,5,6,9,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,6,7,4,5,8,9,10]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,6,4,7,2,8,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,3,5,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,8,6,2,3,5,1,7]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,7,5,3,4,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,4,8,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,8,7,4,1,2,3,6]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,7,3,5,8,2,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,6,4,8,2,3,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,5,7,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,7,6,1,2,3,5,8]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,5,8,2,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,8,4,1,2,3,7]=>[6,5,8,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[8,5,7,4,1,2,3,6]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,5,7,4,8,2,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,8,6,3,4,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,8,7,2,3,5,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,7,2,3,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,8,6,2,3,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,8,7,2,3,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,8,7,6,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,9,8,7,5,4,6,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,8,7,3,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,9,8,7,4,6,5,3,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,10,9,8,7,5,6,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[7,1,5,8,3,4,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,2,5,6,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,4,2,3,8,5,7,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,5,8,3,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,4,6,5,2,3,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,5,8,2,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,3,8,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,3,2,5,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,5,2,8,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,5,3,8,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,6,5,3,2,8]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,4,2,7,5,3,8,1]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,7,8,6,2,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,4,2,3,8,5,1,7]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,5,8,1,3]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,2,7,5,3,1,8]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,8,7,3,5,1,2,6]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,8,7,1,3,5,2,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,4,7,2,6,1,8,3]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,5,6,3,8,2,4,1]=>[7,5,8,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[8,5,6,3,7,2,4,1]=>[8,5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,4,6,3,5,2,7,1]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,4,7,3,5,2,6,1]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,5,7,3,4,2,6,1]=>[8,5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,5,8,3,4,2,6,1]=>[7,5,8,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[5,3,6,2,4,7,8,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,6,1,4,8,7,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,2,4,6,8,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,1,5,6,8,7,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,1,5,8,6,3,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,8,6,7,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,5,8,7,6,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,5,7,8,6,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,5,8,6,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,4,8,2,5]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,1,4,8,2,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,1,5,7,8,2,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,1,8,5,4,6,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,5,7,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,7,5,4,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,7,1,8,4,3,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,2,1,8,4,3,5]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,2,1,8,4,5,3]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,1,8,5,6,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,6,5,4,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,3,1,6,7,8,5,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,1,6,8,7,5,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,8,5,7,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,6,8,5,3,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,6,1,8,4,3,7]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,8,7,4,3]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,8,7,3,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,8,3,4,7]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,1,6,8,3,7,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,6,7,8,2,5]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,3,1,5,8,2,4]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,1,7,8,6,3,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,1,8,7,6,4,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,6,4,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,6,4,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,4,6,5,7]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,4,6,7,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,4,7,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,1,8,7,4,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,2,1,7,8,3,6,5]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,7,1,8,3,6,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,2,1,8,3,5,4]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,7,1,8,3,4,6]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,1,7,8,3,5,6]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,1,8,4,5,7,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,4,3,1,8,2,5,6]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,3,8,2,4,5,1,7]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,4,3,8,1,5,2,7]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,3,7,8,2,4,1,5]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,8,2,4,6,7,1]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,4,2,6,1,3,8]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,7,2,4,5,1,8]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,6,7,8,2,4,1]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,4,2,1,5,8,7]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,6,3,8,5,4,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,8,6,3,5,4,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,8,6,4,2,1,3,7]=>[5,8,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,1,5,7,8,6,3]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,6,2,1,8,4,3,5]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[2,1,8,5,6,4,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,8,5,6,3,7]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,6,3,8,4,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,2,1,8,5,7]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,7,8,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,7,8,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,3,7,8,5]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,6,2,1,3,8,5]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,3,2,8,4,1,7]=>[6,5,3,2,8,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,3,7,2,5,4,1,8]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,6,7,3,4,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,6,3,4,2,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,6,3,2,5,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,1,7,5,4,8,6]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,2,8,7,1,5,6,4]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,7,8,2,4,5,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,8,2,6,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,2,3,1,6,8,7]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,3,2,4,7,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,3,5,6,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,2,4,5,6,3]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,4,7,6,3,2,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,3,6,2,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,3,7,2,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,7,3,2,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,7,8,1,2,5,3,6]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,2,7,1,6,8,5]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,6,3,4,7,8,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,8,3,4,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,8,7,5,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,8,2,5,7,6]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,3,6,7,4,2,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,2,4,8,6,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,6,4,7,2,5,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,2,4,7,1,8,6,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,6,7,3,8,4,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,7,5,2,6,3,4,1]=>[8,7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,4,6,7,8,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,6,4,7,5,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,5,4,7,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,5,6,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,4,8,5,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,5,4,8,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,2,7,5,8,3,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,3,7,5,2,8]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,3,6,7,8,5,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,6,4,7,8,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,3,7,8,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,8,7,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,5,2,3,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,8,3,7,2,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,3,5,7,6,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,6,2,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,2,6,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,7,6,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,6,2,4,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,4,6,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,4,6,2,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,4,2,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,4,7,2,6,8]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,4,7,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,4,7,2,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,4,2,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,4,8,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,4,8,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,8,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,7,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,2,8,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,7,8,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,2,7,4,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,6,2,8,7,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,7,2,5,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,3,5,2,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,5,2,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,7,4,3,8,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,4,8,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,3,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,3,8,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,2,8,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,3,8,2,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,6,7,8,2,1,5]=>[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,5,2,7,8,4,1,6]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,7,4,8,3,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,3,6,4,7,8,2,1]=>[5,3,8,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,2,6,8,4,7,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,5,4,6,8,7,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,2,8,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,3,8,7,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,2,4,8,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,7,3,8,6,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,4,7,8,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,8,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,5,3,7,2,4,1,6]=>[8,5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,2,4,7,3,1,5,6]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,4,2,8,1,7]=>[6,5,3,8,2,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,2,4,8,1,5,6,7]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,6,8,7,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,8,4,1,7,6,5]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,6,4,8,2,3,1,5]=>[7,6,4,8,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[5,7,6,8,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,6,4,7,2,3,1,5]=>[8,6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,2,3,7,4,1,6,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,8,6,2,3,1,4]=>[7,5,8,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,1,6,4,2,3,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,6,5,3,8,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,5,8,3,7,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,6,5,8,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,5,8,7,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,6,5,3,8,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,8,5,3,7,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,8,1,5,7,3,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,8,5,7,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,6,8,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,6,8,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,6,8,3,5,1,7,2]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,6,8,3,1,5,7,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,6,8,5,7,2]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,3,6,8,7,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,6,3,8,7,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,6,3,8,7,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,6,8,3,7,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,8,1,3,7,5,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,4,8,7,3,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,8,7,3,5,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,7,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,4,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,2,8,5,4,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,2,7,5,4,8,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,4,2,5,3,7,1,8]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,2,8,5,3,4,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,2,1,6,8,4,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,2,6,8,4,3,7]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,2,8,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,2,1,8,6,4,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,8,2,7,4,3,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,2,3,4,8,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,8,2,3,5,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,8,1,4,3,5,2,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,3,4,6,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,8,2,3,4,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,2,1,5,6,4,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,8,2,1,6,5,4,7]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,7,8,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,2,5,4,1,6,7]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,1,8,6,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,8,7,3,5,4,2,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,3,2,8,4,5,1,6]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,7,8,4,3,5,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,8,3,5,4,2,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,7,1,3,4,8,2,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,8,1,3,4,7,2,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,7,2,3,4,6,8,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,2,3,4,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,2,7,4,5,1,6]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,8,7,3,5,6,1,2]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,8,1,6,3,7,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,8,2,5,1,7,6,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,7,6,4,2,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,6,2,4,3,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,7,6,3,4,2,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,7,3,6,5,8,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,7,5,8,3]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,7,2,6,8,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,7,5,6,3,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,8,7,6,4,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,7,6,4,1,2,5]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,7,5,6,8,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,3,5,4,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,5,7,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,6,7,2,1,4,8,3]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,6,5,7,8,2,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,4,2,3,6,8,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,5,8,3,4,6,7,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,3,1,2,4,7,6,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,2,4,1,7,8,6]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,7,2,8,6,4,3,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,3,2,8,6,4,1,5]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,7,8,4,6,3,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,7,2,6,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,3,5,2,6,1,8,4]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,8,6,4,3,7,1,5]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,3,2,6,4,7,1,5]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,8,7,6,5,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,8,7,3,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,7,3,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,5,8,3,7,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,8,3,7,2,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,8,4,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,4,2,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,2,3,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,8,4,3,7,6,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,8,4,3,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,8,4,1,2,7,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,6,8,4,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,8,6,5,4,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,8,6,2,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,4,8,3,2,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,6,2,8,7,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,8,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,8,2,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,8,2,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,4,5,8,3,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,8,3,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,5,8,3,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,5,4,8,7,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,4,8,2,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,5,3,8,2,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,3,4,8,2,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,5,4,8,2,7,6]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,4,2,8,6,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,2,3,8,6,4]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,2,4,3,8,6,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,6,5,4,3,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,3,2,8,6]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,4,2,6,7,8,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,3,4,2,6,1,7,5]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,6,7,3,5,4,1,8]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,8,3,5,4,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,8,3,5,4,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,5,4,8]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,2,6,1,8,5]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,3,1,5,6,8,2]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,7,4,1,5,8,3,2]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,1,6,8,3,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,8,2,6,5,3,7]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,8,2,1,5,3,7]=>[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,8,5,7,6,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,5,6,1,3,2,4,7]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,8,1,5,3,2,4,6]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,3,7,4,1,2,5,6]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,8,1,7,3,2,4,5]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,8,4,3,6,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[8,3,1,7,4,6,2,5]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,3,4,7,1,2,6,5]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[8,2,3,6,7,1,5,4]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,8,1,4,7]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,4,6,8,1,7]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,5,3,6,8,1,7]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,1,3,6,8,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,7,3,4,5,8,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,7,4,5,8,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,1,2,7,8,4]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,2,6,1,7,8,4]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,2,6,7,4,8,1]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,3,6,1,7,8,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,6,1,3,7,8,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,7,3,5,8,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,2,4,8,1,5,6]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,1,3,4,6,8,2,5]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,7,2,4,6,8,1,5]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,7,2,5,8,1,4]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,3,5,7,2,8,1,4]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,4,5,7,3,8,1]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,7,1,2,5,8,3]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,2,4,7,3,8,1]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,4,6,2,7,8,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,4,5,2,6,1,3,7]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,5,4,2,1,6,3,7]=>[8,5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,3,7,4,1,8,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,3,7,8,1,2,4]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,5,3,2,7,8,1,4]=>[6,5,3,2,8,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,5,3,2,7,4,8,1]=>[6,5,3,2,8,7,4,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,6,7,4,1,2,8,3]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,8,5,6,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,8,5,6,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,8,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,5,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,5,8,6,1,4,2]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,5,8,6,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,7,8,6,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,5,7,8,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,7,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,8,1,5,6,3,4,2]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,5,6,3,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,8,6,3,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,7,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,5,3,8,6,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,5,8,3,6,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,8,1,5,3,6,4,2]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,3,7,1,8,6,4,2]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,7,5,3,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,3,8,6,1,4,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,7,5,8,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,8,5,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,7,8,6,3,1,4,2]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,5,8,6,1,3,4,2]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[1,7,8,3,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,7,3,8,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,7,1,8,5,6,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,7,1,5,8,6,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,3,5,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,3,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,5,1,7,8,6,4,2]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,8,1,3,5,6,4,2]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,8,3,5,6,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,8,5,6,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,1,3,5,8,6,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[5,7,3,4,8,1,6,2]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,1,8,6,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,1,6,8,2]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,4,6,1,2,8]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,4,2,6,8]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,4,2,8,6]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,7,3,8,4,1,6]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,6,7,5,4,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,3,4,6,8,5,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,7,6,1,8,3,5,2]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,8,4,6,7,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,8,1,5,6,7,2,4]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,8,3,6,7,5,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,3,2,1,8,5]=>[7,4,8,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,8,7,2,3,1,5,6]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,2,1,8,5,7,3]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,7,3,6,8,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,8,4,6,3]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,8,3,6,1,4]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,8,1,2,5,6,3]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,2,7,8,6,3,5,1]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,1,4,8,3,5,6,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,8,6,3,1,5,7,2]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,7,4,8,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,5,2,8,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,6,4,8,7,5,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,8,5,1,4]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,2,5,8,7,1,4]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,5,8,7,6,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,6,2,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,3,6,1,8,7,4]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,2,4,6,3,8,7,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,5,2,8,7,6,3]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,4,2,8,6,5,3]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,5,3,2,8,7,6]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,2,4,1,8,7,5]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,5,2,8,7,6,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,6,4,2,8,7,5,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,2,6,1,8,7,3]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,3,6,2,8,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,8,3,2,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,5,8,2,1,7,6,3]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,5,1,4,8,7]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,8,4,1,3,7,6]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,8,2,4,7,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,4,1,7,2,8,6,5]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,2,1,7,4,8,6]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,2,3,8,7,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,5,2,3,8,7,6,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[5,2,8,1,3,7,6,4]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,2,8,3,7,6,5]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,3,7,5,8,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,3,7,4,5,8,6,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[3,8,7,6,4,5,1,2]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,6,5,2,8,3,7,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,1,7,3,6,8,5,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,7,4,8,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,8,6,3,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,8,2,7,3,6,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,8,4,7,5,6]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,7,1,5,6,8]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,2,7,3,1,4,6,8]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,7,2,8,4,6,5]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,4,2,5,8,6,7,3]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,3,8,2,1,4,7]=>[6,5,3,8,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,6,2,7,1,3,8]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,6,2,1,8,5,3,4]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[1,7,5,8,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,8,4,1,3,7,5,2]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[8,3,1,7,5,4,6,2]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,8,7,4,6,5,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,8,7,6,3,5,4]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,8,3,6,5,4,2]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[4,1,8,7,5,6,3,2]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,7,8,4,6,3,5]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,8,3,7]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,2,3,4,6,1,5,7]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,2,3,4,7,1,6,5]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,4,5,1,8,2]=>[3,8,7,6,5,1,4,2]=>[3,7,