Identifier
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00252: Permutations —restriction⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[]=>.
[1,2]=>[2,1]=>[1]=>[.,.]
[2,1]=>[1,2]=>[1]=>[.,.]
[1,2,3]=>[3,2,1]=>[2,1]=>[[.,.],.]
[1,3,2]=>[2,3,1]=>[2,1]=>[[.,.],.]
[2,1,3]=>[3,1,2]=>[1,2]=>[.,[.,.]]
[2,3,1]=>[1,3,2]=>[1,2]=>[.,[.,.]]
[3,1,2]=>[2,1,3]=>[2,1]=>[[.,.],.]
[3,2,1]=>[1,2,3]=>[1,2]=>[.,[.,.]]
[1,2,3,4]=>[4,3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,2,4,3]=>[3,4,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,3,2,4]=>[4,2,3,1]=>[2,3,1]=>[[.,[.,.]],.]
[1,3,4,2]=>[2,4,3,1]=>[2,3,1]=>[[.,[.,.]],.]
[1,4,2,3]=>[3,2,4,1]=>[3,2,1]=>[[[.,.],.],.]
[1,4,3,2]=>[2,3,4,1]=>[2,3,1]=>[[.,[.,.]],.]
[2,1,3,4]=>[4,3,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,1,4,3]=>[3,4,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,3,1,4]=>[4,1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,3,4,1]=>[1,4,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,4,1,3]=>[3,1,4,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,4,3,1]=>[1,3,4,2]=>[1,3,2]=>[.,[[.,.],.]]
[3,1,2,4]=>[4,2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[3,1,4,2]=>[2,4,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[3,2,1,4]=>[4,1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,2,4,1]=>[1,4,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[3,4,1,2]=>[2,1,4,3]=>[2,1,3]=>[[.,.],[.,.]]
[3,4,2,1]=>[1,2,4,3]=>[1,2,3]=>[.,[.,[.,.]]]
[4,1,2,3]=>[3,2,1,4]=>[3,2,1]=>[[[.,.],.],.]
[4,1,3,2]=>[2,3,1,4]=>[2,3,1]=>[[.,[.,.]],.]
[4,2,1,3]=>[3,1,2,4]=>[3,1,2]=>[[.,.],[.,.]]
[4,2,3,1]=>[1,3,2,4]=>[1,3,2]=>[.,[[.,.],.]]
[4,3,1,2]=>[2,1,3,4]=>[2,1,3]=>[[.,.],[.,.]]
[4,3,2,1]=>[1,2,3,4]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4,5]=>[5,4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,3,5,4]=>[4,5,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,4,3,5]=>[5,3,4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,2,4,5,3]=>[3,5,4,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,2,5,3,4]=>[4,3,5,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,5,4,3]=>[3,4,5,2,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,3,2,4,5]=>[5,4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,2,5,4]=>[4,5,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,4,2,5]=>[5,2,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,3,4,5,2]=>[2,5,4,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,3,5,2,4]=>[4,2,5,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,5,4,2]=>[2,4,5,3,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,4,2,3,5]=>[5,3,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,2,5,3]=>[3,5,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,3,2,5]=>[5,2,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,4,3,5,2]=>[2,5,3,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,4,5,2,3]=>[3,2,5,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,5,3,2]=>[2,3,5,4,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,5,2,3,4]=>[4,3,2,5,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,5,2,4,3]=>[3,4,2,5,1]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,5,3,2,4]=>[4,2,3,5,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,5,3,4,2]=>[2,4,3,5,1]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,5,4,2,3]=>[3,2,4,5,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,5,4,3,2]=>[2,3,4,5,1]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,1,3,4,5]=>[5,4,3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,1,3,5,4]=>[4,5,3,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,1,4,3,5]=>[5,3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,1,4,5,3]=>[3,5,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,1,5,3,4]=>[4,3,5,1,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,1,5,4,3]=>[3,4,5,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,3,1,4,5]=>[5,4,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,1,5,4]=>[4,5,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,4,1,5]=>[5,1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,3,4,5,1]=>[1,5,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,3,5,1,4]=>[4,1,5,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,5,4,1]=>[1,4,5,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,4,1,3,5]=>[5,3,1,4,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,4,1,5,3]=>[3,5,1,4,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,4,3,1,5]=>[5,1,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[2,4,3,5,1]=>[1,5,3,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[2,4,5,1,3]=>[3,1,5,4,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,4,5,3,1]=>[1,3,5,4,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[2,5,1,3,4]=>[4,3,1,5,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,5,1,4,3]=>[3,4,1,5,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,5,3,4,1]=>[1,4,3,5,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,5,4,1,3]=>[3,1,4,5,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,5,4,3,1]=>[1,3,4,5,2]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[3,1,2,4,5]=>[5,4,2,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[3,1,2,5,4]=>[4,5,2,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[3,1,4,2,5]=>[5,2,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[3,1,4,5,2]=>[2,5,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[3,1,5,2,4]=>[4,2,5,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[3,1,5,4,2]=>[2,4,5,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[3,2,1,4,5]=>[5,4,1,2,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[3,2,1,5,4]=>[4,5,1,2,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[3,2,4,1,5]=>[5,1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[3,2,4,5,1]=>[1,5,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[3,2,5,1,4]=>[4,1,5,2,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[3,2,5,4,1]=>[1,4,5,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[3,4,1,2,5]=>[5,2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,4,1,5,2]=>[2,5,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,4,2,1,5]=>[5,1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,4,2,5,1]=>[1,5,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,4,5,1,2]=>[2,1,5,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,5,1,2,4]=>[4,2,1,5,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[3,5,1,4,2]=>[2,4,1,5,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[3,5,2,1,4]=>[4,1,2,5,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[3,5,2,4,1]=>[1,4,2,5,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[3,5,4,1,2]=>[2,1,4,5,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[4,1,2,3,5]=>[5,3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[4,1,2,5,3]=>[3,5,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[4,1,3,2,5]=>[5,2,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[4,1,5,2,3]=>[3,2,5,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[4,1,5,3,2]=>[2,3,5,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[4,2,1,3,5]=>[5,3,1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[4,2,1,5,3]=>[3,5,1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[4,2,3,1,5]=>[5,1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,3,5,1]=>[1,5,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,5,1,3]=>[3,1,5,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[4,2,5,3,1]=>[1,3,5,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,3,1,2,5]=>[5,2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[4,3,1,5,2]=>[2,5,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[4,3,2,1,5]=>[5,1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,2,5,1]=>[1,5,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,5,1,2]=>[2,1,5,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,5,1,2,3]=>[3,2,1,5,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[4,5,1,3,2]=>[2,3,1,5,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[4,5,2,1,3]=>[3,1,2,5,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[4,5,2,3,1]=>[1,3,2,5,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,5,3,1,2]=>[2,1,3,5,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[5,1,2,3,4]=>[4,3,2,1,5]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[5,1,2,4,3]=>[3,4,2,1,5]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[5,1,3,2,4]=>[4,2,3,1,5]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[5,1,3,4,2]=>[2,4,3,1,5]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[5,1,4,2,3]=>[3,2,4,1,5]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[5,1,4,3,2]=>[2,3,4,1,5]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[5,2,1,3,4]=>[4,3,1,2,5]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[5,2,1,4,3]=>[3,4,1,2,5]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[5,2,3,1,4]=>[4,1,3,2,5]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[5,2,3,4,1]=>[1,4,3,2,5]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[5,2,4,1,3]=>[3,1,4,2,5]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[5,2,4,3,1]=>[1,3,4,2,5]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[5,3,1,2,4]=>[4,2,1,3,5]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[5,3,1,4,2]=>[2,4,1,3,5]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[5,3,2,1,4]=>[4,1,2,3,5]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[5,3,2,4,1]=>[1,4,2,3,5]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[5,3,4,1,2]=>[2,1,4,3,5]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[5,3,4,2,1]=>[1,2,4,3,5]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[5,4,1,2,3]=>[3,2,1,4,5]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[5,4,1,3,2]=>[2,3,1,4,5]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[5,4,2,1,3]=>[3,1,2,4,5]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[5,4,2,3,1]=>[1,3,2,4,5]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[5,4,3,1,2]=>[2,1,3,4,5]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]=>[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,8,3,2,4,5,6,1]=>[1,6,5,4,2,3,8,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]=>[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[2,1,6,5,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]=>[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]=>[3,1,2,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,7,8,5,3,2,1,4]=>[4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>[4,1,3,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]=>[4,1,3,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>[4,1,3,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>[4,1,3,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[4,1,3,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>[4,1,3,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]=>[4,2,1,3,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[4,2,1,3,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]=>[4,2,1,3,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>[4,2,1,3,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[7,8,6,5,2,1,3,4]=>[4,3,1,2,5,6,8,7]=>[4,3,1,2,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]=>[4,3,1,2,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]=>[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]=>[4,3,1,2,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[4,3,1,2,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>[4,3,1,2,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]=>[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]=>[5,1,3,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,8,3,4,1,2,5]=>[5,2,1,4,3,8,7,6]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>[5,3,1,2,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]=>[5,4,1,2,3,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]=>[6,1,2,3,5,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]=>[6,1,2,5,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7]=>[6,1,3,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]=>[6,1,5,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]=>[6,3,1,2,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>[6,4,1,2,3,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]=>[6,4,3,1,2,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]=>[6,4,3,1,2,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,8,5,1,2,3,4,6]=>[6,4,3,2,1,5,8,7]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8]=>[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>[6,5,2,1,4,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]=>[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]=>[6,5,4,1,2,3,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]=>[6,5,4,1,3,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]=>[6,5,4,2,1,3,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]=>[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>[7,1,2,3,4,6,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]=>[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[7,2,1,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[8,6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6,8]=>[7,4,1,3,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>[7,4,3,1,2,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]=>[7,5,1,2,4,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>[7,5,3,1,2,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>[7,6,1,2,5,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>[7,6,4,3,1,2,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]=>[3,1,2,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,7,5,2,1,3,4,8]=>[8,4,3,1,2,5,7,6]=>[4,3,1,2,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]=>[5,1,4,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[7,5,2,3,4,1,6,8]=>[8,6,1,4,3,2,5,7]=>[6,1,4,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[6,5,4,2,1,3,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>[7,1,6,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>[7,1,6,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>[7,5,4,1,3,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>[7,6,1,2,4,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]=>[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>[7,6,2,1,4,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>[7,6,3,1,2,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>[7,6,4,1,3,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[7,6,4,2,1,3,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>[7,6,5,1,2,4,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,[[[.,.],.],.]],.]]]
[4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]=>[1,3,4,7,6,5,2]=>[.,[[.,[.,[[[.,.],.],.]]],.]]
[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[2,5,6,4,8,7,3,1]=>[1,3,7,8,4,6,5,2]=>[1,3,7,4,6,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]=>[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,5,7,6,8,4,1]=>[1,4,8,6,7,5,2,3]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>[1,5,6,7,4,3,2]=>[.,[[[[.,[.,[.,.]]],.],.],.]]
[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>[1,5,7,6,4,3,2]=>[.,[[[[.,[[.,.],.]],.],.],.]]
[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>[1,6,7,3,5,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]=>[1,6,7,3,5,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]=>[1,6,7,5,2,4,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>[1,7,4,6,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,5,7,6,8,4,3,2]=>[2,3,4,8,6,7,5,1]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,6,5,7,8,4,3,2]=>[2,3,4,8,7,5,6,1]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,3,4,7,6,5,8,2]=>[2,8,5,6,7,4,3,1]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>[4,5,6,7,1,3,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>[5,6,7,1,4,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[1,2,4,3,6,8,7,5]=>[5,7,8,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>[5,6,7,4,1,3,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]=>[6,7,1,2,3,5,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]=>[6,7,1,2,5,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]=>[6,7,1,3,5,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,4,5,3,1,7,8,6]=>[6,8,7,1,3,5,4,2]=>[6,7,1,3,5,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]=>[6,7,1,5,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,3,5,1,8,7,6]=>[6,7,8,1,5,3,4,2]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,2,4,5,1,8,7,6]=>[6,7,8,1,5,4,2,3]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>[7,1,2,4,6,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,5,3,6,2,1,8,7]=>[7,8,1,2,6,3,5,4]=>[7,1,2,6,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,3,2,6,5,1,8,7]=>[7,8,1,5,6,2,3,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]=>[7,1,6,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>[7,5,6,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,4,3,5,1,6,8,7]=>[7,8,6,1,5,3,4,2]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,6,7,5,3,2,1,8]=>[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]=>[1,3,7,4,6,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]=>[1,7,2,6,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]=>[1,7,5,6,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,4,2,5,1,7,6,8]=>[8,6,7,1,5,2,4,3]=>[6,7,1,5,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>[7,1,5,6,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[3,5,4,2,6,1,7,8]=>[8,7,1,6,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[1,2,3,8,6,5,7,4]=>[4,7,5,6,8,3,2,1]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[1,3,2,8,6,5,7,4]=>[4,7,5,6,8,2,3,1]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,3,8,4,5,6,7,2]=>[2,7,6,5,4,8,3,1]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,3,8,5,4,6,7,2]=>[2,7,6,4,5,8,3,1]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,4,3,2,8,6,7,5]=>[5,7,6,8,2,3,4,1]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,4,3,8,5,6,7,2]=>[2,7,6,5,8,3,4,1]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,5,3,4,8,6,7,2]=>[2,7,6,8,4,3,5,1]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,3,8,5,7,6,4]=>[4,6,7,5,8,3,1,2]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[2,1,4,5,8,6,7,3]=>[3,7,6,8,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,1,4,8,6,5,7,3]=>[3,7,5,6,8,4,1,2]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]=>[3,7,5,4,6,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,3,1,8,6,7,5,4]=>[4,5,7,6,8,1,3,2]=>[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,6,4,5,1,8,7]=>[7,8,1,5,4,6,3,2]=>[7,1,5,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,3,6,4,5,7,8,1]=>[1,8,7,5,4,6,3,2]=>[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,5,3,4,1,8,7,6]=>[6,7,8,1,4,3,5,2]=>[6,7,1,4,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]=>[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,5,3,4,8,7,6,1]=>[1,6,7,8,4,3,5,2]=>[1,6,7,4,3,5,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,6,3,5,4,1,8,7]=>[7,8,1,4,5,3,6,2]=>[7,1,4,5,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]=>[1,7,4,5,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,6,4,3,5,7,8,1]=>[1,8,7,5,3,4,6,2]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]=>[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[3,2,1,4,8,6,7,5]=>[5,7,6,8,4,1,2,3]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,8,4,5,6,7,1]=>[1,7,6,5,4,8,2,3]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,3,1,7,6,5,8]=>[8,5,6,7,1,3,2,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,5,1,6,8,7]=>[7,8,6,1,5,3,2,4]=>[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,2,3,5,1,7,8,6]=>[6,8,7,1,5,3,2,4]=>[6,7,1,5,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,3,5,1,8,7,6]=>[6,7,8,1,5,3,2,4]=>[6,7,1,5,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,2,3,7,5,6,1,8]=>[8,1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,3,8,7,6,5,1]=>[1,5,6,7,8,3,2,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,3,4,7,6,1,8]=>[8,1,6,7,4,3,2,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,2,3,5,4,7,1,8]=>[8,1,7,4,5,3,2,6]=>[1,7,4,5,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,4,3,6,1,7,8]=>[8,7,1,6,3,4,2,5]=>[7,1,6,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,2,4,3,6,1,8,7]=>[7,8,1,6,3,4,2,5]=>[7,1,6,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[8,2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2,8]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,3,2,5,4,7,1,8]=>[8,1,7,4,5,2,3,6]=>[1,7,4,5,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]=>[6,7,1,2,4,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,4,2,1,8,7,6]=>[6,7,8,1,2,4,3,5]=>[6,7,1,2,4,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,3,4,6,5,2,1,8]=>[8,1,2,5,6,4,3,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,3,5,4,6,2,1,8]=>[8,1,2,6,4,5,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,6,4,5,2,1,8]=>[8,1,2,5,4,6,3,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[8,3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3,8]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,6,1,3,7,5,8]=>[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,4,1,6,7,3,8,5]=>[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,6,7,1,8,3,5]=>[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,7,1,3,5,8,6]=>[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,4,7,8,3,5,6]=>[6,5,3,8,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,1,5,3,7,6,8]=>[8,6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,1,5,7,3,8,6]=>[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,5,7,1,3,8,6]=>[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,5,6,7,1,3,8]=>[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,6,7,8,3]=>[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,5,1,6,3,4,7,8]=>[8,7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,1,6,3,7,4,8]=>[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,5,1,6,3,7,8,4]=>[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,6,1,3,7,8,4]=>[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,5,6,7,8,1,3,4]=>[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,7,1,3,4,8,6]=>[6,8,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,5,7,1,8,3,4,6]=>[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,5,1,3,7,4,6,8]=>[8,6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,5,1,7,4,8,6]=>[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,7,1,4,8,6]=>[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,5,1,8,3,4,6,7]=>[7,6,4,3,8,1,5,2]=>[7,6,4,3,1,5,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,6,7,1,3,4,5,8]=>[8,5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,3,6,1,7,8,4,5]=>[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,6,1,8,4,5,7]=>[7,5,4,8,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,4,1,6,8,5,7]=>[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,1,4,7,5,6,8]=>[8,6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,4,6,1,2,7,8,5]=>[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,6,7,1,8,2,5]=>[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,5,2,7,6,8]=>[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,5,7,1,2,8,6]=>[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,1,6,2,7,4,8]=>[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,6,2,7,8,4]=>[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,5,1,6,2,7,8,4]=>[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,7,1,2,8,4,6]=>[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,5,7,8,2,4,6]=>[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,5,6,2,4,8,7]=>[7,8,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,3,5,2,6,7,8,4]=>[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,6,7,2,4,5,8]=>[8,5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,7,1,2,4,5,8]=>[8,5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,3,6,2,4,7,5,8]=>[8,5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,1,6,2,4,7,8,5]=>[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,6,1,2,4,7,8,5]=>[5,8,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,6,2,7,8,4,5]=>[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,1,6,8,2,4,5,7]=>[7,5,4,2,8,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,1,6,2,4,8,5,7]=>[7,5,8,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,1,2,4,6,7,5,8]=>[8,5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,7,1,2,4,5,8,6]=>[6,8,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,3,4,2,5,8,6,7]=>[7,6,8,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,5,1,6,7,2,8,3]=>[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,4,2,5,7,3,6,8]=>[8,6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,1,5,2,3,7,8,6]=>[6,8,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,4,5,7,2,3,8,6]=>[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,1,2,8,3,6,7]=>[7,6,3,8,2,1,5,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,2,5,6,3,8,7]=>[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[1,4,5,6,7,2,8,3]=>[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,7,1,2,3,5,8]=>[8,5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,4,6,7,2,8,3,5]=>[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,6,1,2,8,3,5,7]=>[7,5,3,8,2,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,6,1,8,2,3,5,7]=>[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,6,2,3,8,5,7]=>[7,5,8,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,6,2,3,8,5,7]=>[7,5,8,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,4,6,2,3,5,8,7]=>[7,8,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,2,4,3,6,8,5,7]=>[7,5,8,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,2,4,6,7,3,5,8]=>[8,5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[1,2,4,6,3,7,8,5]=>[5,8,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,1,7,2,8,3,5,6]=>[6,5,3,8,2,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,7,1,2,8,3,5,6]=>[6,5,3,8,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,2,7,8,3,5,6]=>[6,5,3,8,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,2,7,8,3,5,6]=>[6,5,3,8,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,6,1,2,7,3,4,8]=>[8,4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,1,6,2,3,7,8,4]=>[4,8,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,6,1,2,3,7,8,4]=>[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,5,2,6,3,7,8,4]=>[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,6,1,2,8,3,4,7]=>[7,4,3,8,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,8,1,2,3,4,7]=>[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,1,6,2,3,8,4,7]=>[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,6,1,2,3,8,4,7]=>[7,4,8,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,5,6,2,3,8,4,7]=>[7,4,8,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,1,2,3,4,8,7]=>[7,8,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,5,2,6,3,4,7,8]=>[8,7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,1,7,2,8,3,4,6]=>[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,7,1,2,8,3,4,6]=>[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,8,1,2,3,4,6]=>[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,5,7,2,8,3,4,6]=>[6,4,3,8,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,3,5,7,4,6,8]=>[8,6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[1,2,3,5,7,4,8,6]=>[6,8,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,1,7,8,2,3,4,5]=>[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,1,8,2,3,4,5]=>[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[1,2,6,3,4,7,8,5]=>[5,8,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,7,3,4,8,5,6]=>[6,5,8,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[6,1,4,5,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[1,6,7,3,2,5,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[6,1,3,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[5,2,1,3,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[6,2,1,3,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[6,2,4,5,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[2,6,7,4,5,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[2,6,7,3,1,5,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[2,6,7,1,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[2,5,1,7,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[2,4,1,3,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[2,4,3,1,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[2,5,4,7,6,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[3,5,4,7,6,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[5,3,4,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[5,2,4,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[6,3,1,2,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[5,3,1,2,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[5,1,4,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[4,1,5,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[3,1,5,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[3,6,7,1,2,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[3,6,7,2,1,5,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[4,6,7,2,1,5,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[4,6,7,3,5,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[4,5,2,7,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[3,5,2,7,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[3,4,2,1,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[3,1,4,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[3,2,5,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[2,4,5,6,7,1,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[2,3,5,6,1,7,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[2,3,1,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]
[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[9,7,8,5,6,1,2,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,[.,.]]]]
[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[9,7,8,1,2,3,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[9,5,6,7,8,1,2,3,4]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]
[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>[7,6,3,1,4,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,2,7,1,3,4,5,8]=>[8,5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]=>[5,4,2,1,7,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6]=>[7,5,4,3,1,2,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[6,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,6]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7]=>[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,5,8,1,2,3,4,6]=>[6,4,3,2,1,8,5,7]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>[4,2,1,7,5,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,3,5,8,1,2,4,7]=>[7,4,2,1,8,5,3,6]=>[7,4,2,1,5,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>[6,5,4,1,7,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]=>[6,5,2,1,4,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,7,2,4,1,3,6,8]=>[8,6,3,1,4,2,7,5]=>[6,3,1,4,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,8,2,6,1,4,5,7]=>[7,5,4,1,6,2,8,3]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]=>[6,5,3,1,7,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>[6,5,2,1,7,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>[6,4,3,1,7,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]=>[6,4,2,1,7,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,8,2,4,1,3,5,6]=>[6,5,3,1,4,2,8,7]=>[6,5,3,1,4,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]=>[6,4,2,1,5,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,3,7,1,2,6,8]=>[8,6,2,1,7,3,4,5]=>[6,2,1,7,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]=>[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]=>[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,4,3,7,1,2,5,8]=>[8,5,2,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,3,2,6,1,4,5,8]=>[8,5,4,1,6,2,3,7]=>[5,4,1,6,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]=>[7,6,4,1,2,3,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,4,3,8,1,2,6,7]=>[7,6,2,1,8,3,4,5]=>[7,6,2,1,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,4,3,8,1,2,5,7]=>[7,5,2,1,8,3,4,6]=>[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]=>[7,4,2,1,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,4,2,8,1,3,5,6]=>[6,5,3,1,8,2,4,7]=>[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]=>[6,5,2,1,3,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,6,4,8,1,2,3,5]=>[5,3,2,1,8,4,6,7]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]=>[6,5,3,1,7,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]=>[6,4,3,1,5,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]=>[6,4,2,1,5,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,7,3,5,8,1,2,6]=>[6,2,1,8,5,3,7,4]=>[6,2,1,5,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,7,2,4,8,1,3,6]=>[6,3,1,8,4,2,7,5]=>[6,3,1,4,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]=>[5,2,1,6,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,8,2,6,7,1,3,4]=>[4,3,1,7,6,2,8,5]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]=>[5,3,1,6,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,6,8,1,4,7]=>[7,4,1,8,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,2,6,8,1,3,7]=>[7,3,1,8,6,2,4,5]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,3,6,8,1,2,7]=>[7,2,1,8,6,3,4,5]=>[7,2,1,6,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,5,2,4,8,1,3,7]=>[7,3,1,8,4,2,5,6]=>[7,3,1,4,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,2,7,8,1,3,6]=>[6,3,1,8,7,2,4,5]=>[6,3,1,7,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]=>[6,2,1,7,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,4,2,7,8,1,3,5]=>[5,3,1,8,7,2,4,6]=>[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]=>[4,3,1,7,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,3,4,8,1,2,6]=>[6,2,1,8,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,3,6,8,1,2,4]=>[4,2,1,8,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]=>[4,2,1,5,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[8,6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6,8]=>[4,3,1,7,5,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[8,6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6,8]=>[4,2,1,7,5,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]=>[5,3,1,6,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,3,7,2,6,1,4,8]=>[8,4,1,6,2,7,3,5]=>[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]=>[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6]=>[7,3,1,5,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,4,8,2,7,1,3,5]=>[5,3,1,7,2,8,4,6]=>[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,3,8,2,5,1,4,6]=>[6,4,1,5,2,8,3,7]=>[6,4,1,5,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]=>[6,3,1,4,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]=>[4,3,1,6,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]=>[7,3,1,5,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3,8]=>[6,4,1,5,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]=>[6,3,1,4,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6,8]=>[5,3,1,4,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]=>[7,4,1,2,3,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,5,4,2,8,1,3,7]=>[7,3,1,8,2,4,5,6]=>[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]=>[6,4,1,2,3,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]=>[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7,8]=>[6,4,1,5,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[3,1,4,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>[3,1,5,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>[3,1,4,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]=>[3,1,5,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]=>[3,1,4,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5,8]=>[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5,8]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]=>[5,1,6,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>[3,1,4,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,1,8,2,6,4,5,7]=>[7,5,4,6,2,8,1,3]=>[7,5,4,6,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,1,7,2,6,4,8,5]=>[5,8,4,6,2,7,1,3]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,5,2,8,7,4,6]=>[6,4,7,8,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,1,4,2,7,3,8,6]=>[6,8,3,7,2,4,1,5]=>[6,3,7,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,1,4,2,6,3,8,5]=>[5,8,3,6,2,4,1,7]=>[5,3,6,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,1,5,2,6,3,8,4]=>[4,8,3,6,2,5,1,7]=>[4,3,6,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,8,6,2,4,5,7]=>[7,5,4,2,6,8,1,3]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[8,1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1,8]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,1,8,6,2,3,4,5]=>[5,4,3,2,6,8,1,7]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,1,4,8,6,2,5,7]=>[7,5,2,6,8,4,1,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,1,7,5,6,2,8,4]=>[4,8,2,6,5,7,1,3]=>[4,2,6,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,4,5,8,7,2,6]=>[6,2,7,8,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,8,1,3,4,7,5,6]=>[6,5,7,4,3,1,8,2]=>[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,7,1,6,3,4,8,5]=>[5,8,4,3,6,1,7,2]=>[5,4,3,6,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,8,1,7,6,3,4,5]=>[5,4,3,6,7,1,8,2]=>[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>[6,5,4,2,1,3,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[8,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,8]=>[7,5,4,6,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,4,1,2,8,3,6,7]=>[7,6,3,8,2,1,4,5]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[5,8,1,2,7,3,4,6]=>[6,4,3,7,2,1,8,5]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,7,1,2,6,3,8,4]=>[4,8,3,6,2,1,7,5]=>[4,3,6,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,3,1,6,2,8,5,7]=>[7,5,8,2,6,1,3,4]=>[7,5,2,6,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,3,1,6,2,7,8,5]=>[5,8,7,2,6,1,3,4]=>[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4,8]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[8,4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4,8]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8]=>[5,4,2,6,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,3,1,5,6,2,8,4]=>[4,8,2,6,5,1,3,7]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[8,4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4,8]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,3,5,1,8,7,4,6]=>[6,4,7,8,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,8,1,6,7,4,5]=>[5,4,7,6,1,8,3,2]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,4,1,3,8,5,7]=>[7,5,8,3,1,4,6,2]=>[7,5,3,1,4,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,7,4,1,6,3,8,5]=>[5,8,3,6,1,4,7,2]=>[5,3,6,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,7,5,1,6,3,8,4]=>[4,8,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>[5,7,2,1,4,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,3,7,1,2,4,8,5]=>[5,8,4,2,1,7,3,6]=>[5,4,2,1,7,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,8,5,1,2,3,4,7]=>[7,4,3,2,1,5,8,6]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,8,5,1,2,7,3,4]=>[4,3,7,2,1,5,8,6]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3,8]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,4,1,6,7,8,2]=>[2,8,7,6,1,4,3,5]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,4,8,1,3,5,6]=>[6,5,3,1,8,4,7,2]=>[6,5,3,1,4,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,7,4,6,1,3,8,5]=>[5,8,3,1,6,4,7,2]=>[5,3,1,6,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,8,4,5,1,7,3,6]=>[6,3,7,1,5,4,8,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,8,6,5,1,7,3,4]=>[4,3,7,1,5,6,8,2]=>[4,3,7,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[7,3,8,5,1,2,4,6]=>[6,4,2,1,5,8,3,7]=>[6,4,2,1,5,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,3,8,6,1,2,4,5]=>[5,4,2,1,6,8,3,7]=>[5,4,2,1,6,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,3,6,5,1,2,8,4]=>[4,8,2,1,5,6,3,7]=>[4,2,1,5,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3,8]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3]=>[8,6,4,7,2,5,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[9,8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8,9]=>[6,4,3,2,7,1,5,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[9,5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5,9]=>[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[3,5,2,6,1,4,8,7]=>[7,8,4,1,6,2,5,3]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,2,6,4,1,8,7]=>[7,8,1,4,6,2,5,3]=>[7,1,4,6,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]=>[6,1,3,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]=>[7,1,3,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,6,2,1,3,8,7]=>[7,8,3,1,2,6,5,4]=>[7,3,1,2,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,1,6,4,2,8,7]=>[7,8,2,4,6,1,5,3]=>[7,2,4,6,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,6,1,3,2,8,7]=>[7,8,2,3,1,6,5,4]=>[7,2,3,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,6,3,1,2,8,7]=>[7,8,2,1,3,6,5,4]=>[7,2,1,3,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]=>[6,1,2,3,7,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]=>[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,6,7,3,8,1,2,5]=>[5,2,1,8,3,7,6,4]=>[5,2,1,3,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]=>[6,2,1,3,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]=>[6,2,4,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,1,5,7,4,8,6,3]=>[3,6,8,4,7,5,1,2]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[3,5,1,7,4,8,6,2]=>[2,6,8,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,5,7,1,3,8,6,2]=>[2,6,8,3,1,7,5,4]=>[2,6,3,1,7,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]=>[2,6,1,3,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,6,7,3,8,1,5,2]=>[2,5,1,8,3,7,6,4]=>[2,5,1,3,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,6,7,8,3,1,4,2]=>[2,4,1,3,8,7,6,5]=>[2,4,1,3,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]=>[2,4,3,1,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,6,7,1,8,3,5,2]=>[2,5,3,8,1,7,6,4]=>[2,5,3,1,7,6,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,6,1,7,8,4,5,2]=>[2,5,4,8,7,1,6,3]=>[2,5,4,7,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,1,6,7,8,4,5,3]=>[3,5,4,8,7,6,1,2]=>[3,5,4,7,6,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,1,6,7,8,4,3,5]=>[5,3,4,8,7,6,1,2]=>[5,3,4,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,1,7,8,4,2,5]=>[5,2,4,8,7,1,6,3]=>[5,2,4,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,7,1,8,3,2,5]=>[5,2,3,8,1,7,6,4]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,7,8,1,3,2,4]=>[4,2,3,1,8,7,6,5]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]=>[6,3,1,2,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,7,2,8,1,3,5]=>[5,3,1,8,2,7,6,4]=>[5,3,1,2,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,7,2,8,3,1,5]=>[5,1,3,8,2,7,6,4]=>[5,1,3,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,7,2,8,3,5,1]=>[1,5,3,8,2,7,6,4]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,6,2,7,8,4,5,1]=>[1,5,4,8,7,2,6,3]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,6,2,7,8,4,1,5]=>[5,1,4,8,7,2,6,3]=>[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,2,7,8,1,4,5]=>[5,4,1,8,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]=>[6,5,7,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,6,2,7,8,1,5,4]=>[4,5,1,8,7,2,6,3]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,6,2,7,8,5,1,4]=>[4,1,5,8,7,2,6,3]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]=>[1,3,5,2,7,6,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,6,7,2,8,5,1,3]=>[3,1,5,8,2,7,6,4]=>[3,1,5,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]=>[3,6,1,2,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,6,7,8,3,5,4]=>[4,5,3,8,7,6,1,2]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,1,7,8,2,5,4]=>[4,5,2,8,7,1,6,3]=>[4,5,2,7,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,7,1,8,2,5,3]=>[3,5,2,8,1,7,6,4]=>[3,5,2,1,7,6,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]=>[3,4,2,1,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]=>[3,1,4,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]=>[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,1,8,5,2,3]=>[3,2,5,8,1,7,6,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,1,7,8,5,2,4]=>[4,2,5,8,7,1,6,3]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,6,7,8,5,3,4]=>[4,3,5,8,7,6,1,2]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,1,7,8,5,4,2]=>[2,4,5,8,7,1,6,3]=>[2,4,5,7,1,6,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]=>[2,3,5,1,7,6,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]=>[2,3,1,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>[4,5,1,3,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]=>[7,5,6,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]=>[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]=>[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]=>[6,4,2,5,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,4,5,1,2,3,8,7]=>[7,8,3,2,1,5,4,6]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]=>[7,4,3,5,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,6,1,5,2,4,8,7]=>[7,8,4,2,5,1,6,3]=>[7,4,2,5,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]=>[7,3,2,1,5,6,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]=>[7,3,2,1,4,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6,8]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,7,4,1,8,2,3,5]=>[5,3,2,8,1,4,7,6]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]=>[6,4,2,5,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]=>[6,4,3,5,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,8,5,1,2,7,3,6]=>[6,3,7,2,1,5,8,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,4,1,2,7,3,6]=>[6,3,7,2,1,4,8,5]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,8,4,1,7,2,3,5]=>[5,3,2,7,1,4,8,6]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,6,1,7,2,3,5]=>[5,3,2,7,1,6,8,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,8,1,6,7,2,4,5]=>[5,4,2,7,6,1,8,3]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]=>[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,1,6,8,2,4,5]=>[5,4,2,8,6,1,7,3]=>[5,4,2,6,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,7,6,1,8,2,3,5]=>[5,3,2,8,1,6,7,4]=>[5,3,2,1,6,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,4,7,1,8,2,3,5]=>[5,3,2,8,1,7,4,6]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,7]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[8,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,8]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3,8]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7]=>[5,4,2,6,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,3,1,7,8,2,4,5]=>[5,4,2,8,7,1,3,6]=>[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]=>[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,3,1,8,6,2,4,5]=>[5,4,2,6,8,1,3,7]=>[5,4,2,6,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,8,1,6,2,3,5]=>[5,3,2,6,1,8,4,7]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,8,1,2,7,3,6]=>[6,3,7,2,1,8,4,5]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,5,8,1,2,7,3,6]=>[6,3,7,2,1,8,5,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,5,8,3,7,4,6]=>[6,4,7,3,8,5,1,2]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,1,8,7,2,4,5]=>[5,4,2,7,8,1,6,3]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,8,1,7,2,3,5]=>[5,3,2,7,1,8,6,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,7,8,1,6,2,3,5]=>[5,3,2,6,1,8,7,4]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,7,1,8,6,2,4,5]=>[5,4,2,6,8,1,7,3]=>[5,4,2,6,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]=>[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]=>[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,8,1,7,6,2,4,5]=>[5,4,2,6,7,1,8,3]=>[5,4,2,6,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,8,7,1,6,2,3,5]=>[5,3,2,6,1,7,8,4]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,4,7,3,8,5,1,2]=>[2,1,5,8,3,7,4,6]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]=>[3,1,6,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]=>[3,1,6,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,4,3,7,8,6,1,2]=>[2,1,6,8,7,3,4,5]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,4,3,8,6,7,1,2]=>[2,1,7,6,8,3,4,5]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,4,3,6,8,7,1,2]=>[2,1,7,8,6,3,4,5]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,4,2,6,7,1,8,3]=>[3,8,1,7,6,2,4,5]=>[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,4,2,6,7,1,3,8]=>[8,3,1,7,6,2,4,5]=>[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,3,2,6,1,7,4,8]=>[8,4,7,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,6,1,7,8,4]=>[4,8,7,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,6,1,8,7,4]=>[4,7,8,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,2,6,8,1,7,3]=>[3,7,1,8,6,2,4,5]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,2,8,6,1,7,3]=>[3,7,1,6,8,2,4,5]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,8,4,2,5,1,6,3]=>[3,6,1,5,2,4,8,7]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>[6,3,1,5,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,2,8,6,1,3,7]=>[7,3,1,6,8,2,4,5]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,2,6,1,8,4,7]=>[7,4,8,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,8,2,1,5,4,7]=>[7,4,5,1,2,8,3,6]=>[7,4,5,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]=>[6,4,5,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,8,3,2,1,5,6,4]=>[4,6,5,1,2,3,8,7]=>[4,6,5,1,2,3,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,3,8,2,1,5,7,4]=>[4,7,5,1,2,8,3,6]=>[4,7,5,1,2,3,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,4,2,7,8,1,6,3]=>[3,6,1,8,7,2,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,8,6,4]=>[4,6,8,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,6,8,4]=>[4,8,6,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,2,1,5,4,8]=>[8,4,5,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,7,2,1,5,8,4]=>[4,8,5,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,7,2,1,8,5,4]=>[4,5,8,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,4,7,2,8,1,5,3]=>[3,5,1,8,2,7,4,6]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,5,7,8,2,1,4,3]=>[3,4,1,2,8,7,5,6]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,5,8,7,2,1,3,4]=>[4,3,1,2,7,8,5,6]=>[4,3,1,2,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,3,7,2,1,4,8,5]=>[5,8,4,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,3,2,7,1,4,8,6]=>[6,8,4,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]=>[6,3,1,7,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,8,4,2,6,1,3,5]=>[5,3,1,6,2,4,8,7]=>[5,3,1,6,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,8,3,2,1,6,4,5]=>[5,4,6,1,2,3,8,7]=>[5,4,6,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,8,2,1,7,4,5]=>[5,4,7,1,2,8,3,6]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,3,2,8,1,7,4,6]=>[6,4,7,1,8,2,3,5]=>[6,4,7,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,2,8,1,4,7,6]=>[6,7,4,1,8,2,3,5]=>[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,3,8,2,1,4,7,5]=>[5,7,4,1,2,8,3,6]=>[5,7,4,1,2,3,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,8,3,2,1,4,6,5]=>[5,6,4,1,2,3,8,7]=>[5,6,4,1,2,3,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,3,8,2,1,4,5,7]=>[7,5,4,1,2,8,3,6]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]=>[3,4,2,1,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,8,4,1,6,2,5,3]=>[3,5,2,6,1,4,8,7]=>[3,5,2,6,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]=>[3,5,2,6,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,1,8,4,7,2,5,3]=>[3,5,2,7,4,8,1,6]=>[3,5,2,7,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,1,8,3,2,7,5,4]=>[4,5,7,2,3,8,1,6]=>[4,5,7,2,3,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,8,1,3,2,6,5,4]=>[4,5,6,2,3,1,8,7]=>[4,5,6,2,3,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,8,3,1,2,6,5,4]=>[4,5,6,2,1,3,8,7]=>[4,5,6,2,1,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]=>[3,5,1,6,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]=>[4,5,6,1,3,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,8,2,1,3,6,5,4]=>[4,5,6,3,1,2,8,7]=>[4,5,6,3,1,2,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]=>[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[6,1,8,2,3,7,5,4]=>[4,5,7,3,2,8,1,6]=>[4,5,7,3,2,1,6]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[5,1,2,8,3,7,6,4]=>[4,6,7,3,8,2,1,5]=>[4,6,7,3,2,1,5]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[5,2,1,8,3,7,6,4]=>[4,6,7,3,8,1,2,5]=>[4,6,7,3,1,2,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,2,8,1,3,7,5,4]=>[4,5,7,3,1,8,2,6]=>[4,5,7,3,1,2,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,2,8,3,1,7,5,4]=>[4,5,7,1,3,8,2,6]=>[4,5,7,1,3,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[3,5,1,7,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,6]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,8,4,7,5,1,2]=>[2,1,5,7,4,8,6,3]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,6,8,4,7,1,5,3]=>[3,5,1,7,4,8,6,2]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,8,3,1,7,5,4]=>[4,5,7,1,3,8,6,2]=>[4,5,7,1,3,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,6,8,1,3,7,5,4]=>[4,5,7,3,1,8,6,2]=>[4,5,7,3,1,6,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,5,1,8,3,7,6,4]=>[4,6,7,3,8,1,5,2]=>[4,6,7,3,1,5,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,5,3,8,1,7,6,4]=>[4,6,7,1,8,3,5,2]=>[4,6,7,1,3,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,5,4,8,7,1,6,3]=>[3,6,1,7,8,4,5,2]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,5,4,8,7,6,1,2]=>[2,1,6,7,8,4,5,3]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,2,4,8,7,1,6,3]=>[3,6,1,7,8,4,2,5]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[4,6,7,1,3,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]=>[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]=>[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]=>[5,6,7,2,3,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]=>[5,6,7,2,1,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,3,8,1,2,7,5,4]=>[4,5,7,2,1,8,3,6]=>[4,5,7,2,1,3,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,3,1,8,2,7,6,4]=>[4,6,7,2,8,1,3,5]=>[4,6,7,2,1,3,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,1,3,8,2,7,6,4]=>[4,6,7,2,8,3,1,5]=>[4,6,7,2,3,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,8,7,2,6,3]=>[3,6,2,7,8,4,1,5]=>[3,6,2,7,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,1,8,7,2,6,3]=>[3,6,2,7,8,1,4,5]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,4,8,1,7,2,5,3]=>[3,5,2,7,1,8,4,6]=>[3,5,2,7,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]=>[3,4,2,1,7,5,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]=>[3,6,2,7,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,5,8,7,2,6,3]=>[3,6,2,7,8,5,1,4]=>[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,8,2,7,6,4]=>[4,6,7,2,8,5,1,3]=>[4,6,7,2,5,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,6,8,1,2,7,5,4]=>[4,5,7,2,1,8,6,3]=>[4,5,7,2,1,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,6,8,2,1,7,5,4]=>[4,5,7,1,2,8,6,3]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,8,3,7,5,1,2]=>[2,1,5,7,3,8,6,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,5,3,8,7,6,1,2]=>[2,1,6,7,8,3,5,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,5,2,8,7,1,6,3]=>[3,6,1,7,8,2,5,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,5,2,8,1,7,6,4]=>[4,6,7,1,8,2,5,3]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]=>[5,6,7,2,4,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]=>[5,6,7,4,2,1,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,5,8,1,7,6,4]=>[4,6,7,1,8,5,2,3]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,5,8,7,1,6,3]=>[3,6,1,7,8,5,2,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,4,5,8,7,1,6,3]=>[3,6,1,7,8,5,4,2]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,5,8,1,7,6,4]=>[4,6,7,1,8,5,3,2]=>[4,6,7,1,5,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,3,2,6,4,8,7]=>[7,8,4,6,2,3,1,5]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,3,2,5,4,8,6]=>[6,8,4,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,4,2,5,3,8,6]=>[6,8,3,5,2,4,1,7]=>[6,3,5,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,1,4,2,5,3,8,7]=>[7,8,3,5,2,4,1,6]=>[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,4,2,6,3,8,7]=>[7,8,3,6,2,4,1,5]=>[7,3,6,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]=>[7,4,5,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,6,2,5,4,8,7]=>[7,8,4,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,2,5,3,8,7]=>[7,8,3,5,2,6,1,4]=>[7,3,5,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]=>[7,3,4,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]=>[7,3,4,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,7,1,4,3,8,6]=>[6,8,3,4,1,7,2,5]=>[6,3,4,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,8,1,4,3,7,6]=>[6,7,3,4,1,8,2,5]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,2,8,1,4,3,7,5]=>[5,7,3,4,1,8,2,6]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,2,7,1,4,3,8,5]=>[5,8,3,4,1,7,2,6]=>[5,3,4,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,2,6,1,4,3,8,5]=>[5,8,3,4,1,6,2,7]=>[5,3,4,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,2,5,1,4,3,8,6]=>[6,8,3,4,1,5,2,7]=>[6,3,4,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,1,7,2,5,3,8,6]=>[6,8,3,5,2,7,1,4]=>[6,3,5,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,7,2,5,4,8,6]=>[6,8,4,5,2,7,1,3]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,7,3,5,4,8,6]=>[6,8,4,5,3,7,1,2]=>[6,4,5,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,8,2,5,4,7,6]=>[6,7,4,5,2,8,1,3]=>[6,7,4,5,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,8,2,5,3,7,6]=>[6,7,3,5,2,8,1,4]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]=>[5,6,2,3,4,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,5,3,8,2,6,4]=>[4,6,2,8,3,5,1,7]=>[4,6,2,3,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[8,2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2,8]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,8,2,6,3,7,4]=>[4,7,3,6,2,8,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,8,2,6,3,7,5]=>[5,7,3,6,2,8,1,4]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,8,2,6,4,7,5]=>[5,7,4,6,2,8,1,3]=>[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,8,3,6,4,7,5]=>[5,7,4,6,3,8,1,2]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,7,3,6,4,8,5]=>[5,8,4,6,3,7,1,2]=>[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,7,2,6,3,8,5]=>[5,8,3,6,2,7,1,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,7,2,6,3,8,4]=>[4,8,3,6,2,7,1,5]=>[4,3,6,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,2,6,1,5,3,8,4]=>[4,8,3,5,1,6,2,7]=>[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,1,5,3,8,4]=>[4,8,3,5,1,7,2,6]=>[4,3,5,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,8,1,5,3,7,4]=>[4,7,3,5,1,8,2,6]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,5,2,7,3,8,4]=>[4,8,3,7,2,5,1,6]=>[4,3,7,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,1,4,2,7,3,8,5]=>[5,8,3,7,2,4,1,6]=>[5,3,7,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,3,2,6,4,8,5]=>[5,8,4,6,2,3,1,7]=>[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,1,3,2,7,4,8,5]=>[5,8,4,7,2,3,1,6]=>[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,3,2,7,4,8,6]=>[6,8,4,7,2,3,1,5]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]=>[6,5,7,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,4,2,8,5,7,6]=>[6,7,5,8,2,4,1,3]=>[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]=>[6,7,5,2,3,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,3,2,8,4,7,6]=>[6,7,4,8,2,3,1,5]=>[6,7,4,2,3,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,1,3,2,8,4,7,5]=>[5,7,4,8,2,3,1,6]=>[5,7,4,2,3,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]=>[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,4,8,1,3,2,6,5]=>[5,6,2,3,1,8,4,7]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,3,8,1,4,2,6,5]=>[5,6,2,4,1,8,3,7]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]=>[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,1,4,2,8,3,7,5]=>[5,7,3,8,2,4,1,6]=>[5,7,3,2,4,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,4,2,8,3,7,6]=>[6,7,3,8,2,4,1,5]=>[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,5,2,8,3,7,6]=>[6,7,3,8,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,5,2,8,4,7,6]=>[6,7,4,8,2,5,1,3]=>[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,5,3,8,4,7,6]=>[6,7,4,8,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,6,3,8,4,7,5]=>[5,7,4,8,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,6,2,8,4,7,5]=>[5,7,4,8,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,6,2,8,3,7,4]=>[4,7,3,8,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,1,5,2,8,3,7,4]=>[4,7,3,8,2,5,1,6]=>[4,7,3,2,5,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[8,3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3,8]=>[4,6,2,5,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,3,8,1,5,2,6,4]=>[4,6,2,5,1,8,3,7]=>[4,6,2,5,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,2,7,3,8,1,5,4]=>[4,5,1,8,3,7,2,6]=>[4,5,1,3,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]=>[4,5,1,7,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,8,3,7,2,6,4]=>[4,6,2,7,3,8,1,5]=>[4,6,2,7,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,8,3,7,2,6,5]=>[5,6,2,7,3,8,1,4]=>[5,6,2,7,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,8,4,7,2,6,5]=>[5,6,2,7,4,8,1,3]=>[5,6,2,7,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,7,4,8,2,6,5]=>[5,6,2,8,4,7,1,3]=>[5,6,2,4,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,7,3,8,2,6,5]=>[5,6,2,8,3,7,1,4]=>[5,6,2,3,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5]=>[4,6,2,3,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,3,8,2,6,1,5,4]=>[4,5,1,6,2,8,3,7]=>[4,5,1,6,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[8,2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2,8]=>[4,5,1,7,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,2,6,3,8,1,5,4]=>[4,5,1,8,3,6,2,7]=>[4,5,1,3,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,2,6,8,1,5,7]=>[7,5,1,8,6,2,4,3]=>[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,3,6,2,8,1,4,7]=>[7,4,1,8,2,6,3,5]=>[7,4,1,2,6,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,3,6,2,4,8,1,7]=>[7,1,8,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]=>[6,1,4,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,3,8,2,4,6,1]=>[1,6,4,2,8,3,7,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,4,2,5,8,3,6,1]=>[1,6,3,8,5,2,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]=>[6,1,3,5,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]=>[7,1,3,6,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,5,2,1,6,8,3,7]=>[7,3,8,6,1,2,5,4]=>[7,3,6,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,3,1,6,8,2,4,7]=>[7,4,2,8,6,1,3,5]=>[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]=>[7,4,3,1,2,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,6,1,4,8,2,7]=>[7,2,8,4,1,6,5,3]=>[7,2,4,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,5,6,3,8,2,7]=>[7,2,8,3,6,5,1,4]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]=>[7,2,3,6,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,6,3,2,8,1,7]=>[7,1,8,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[7,4,5,3,8,2,1,6]=>[6,1,2,8,3,5,4,7]=>[6,1,2,3,5,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,4,8,3,2,1,5]=>[5,1,2,3,8,4,7,6]=>[5,1,2,3,4,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,4,1,8,3,2,5]=>[5,2,3,8,1,4,7,6]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]=>[6,2,1,3,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,3,7,8,1,4,2,6]=>[6,2,4,1,8,7,3,5]=>[6,2,4,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,8,2,4,6,1,3]=>[3,1,6,4,2,8,5,7]=>[3,1,6,4,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[2,6,4,1,5,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,5,1,7,8,3,6,2]=>[2,6,3,8,7,1,5,4]=>[2,6,3,7,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,4,1,5,8,3,6,2]=>[2,6,3,8,5,1,4,7]=>[2,6,3,5,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,7,4,3,8,1,5,2]=>[2,5,1,8,3,4,7,6]=>[2,5,1,3,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,4,8,3,1,5,2]=>[2,5,1,3,8,4,7,6]=>[2,5,1,3,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,4,8,3,5,2,1]=>[1,2,5,3,8,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5]=>[2,4,1,3,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,1,7,3,8,4,2]=>[2,4,8,3,7,1,6,5]=>[2,4,3,7,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,6,7,3,8,4,2]=>[2,4,8,3,7,6,1,5]=>[2,4,3,7,6,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,4,7,1,8,3,5,2]=>[2,5,3,8,1,7,4,6]=>[2,5,3,1,7,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,7,8,3,1,4,5,2]=>[2,5,4,1,3,8,7,6]=>[2,5,4,1,3,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,7,2,8,4,5,1,3]=>[3,1,5,4,8,2,7,6]=>[3,1,5,4,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,2,8,4,1,3,5]=>[5,3,1,4,8,2,7,6]=>[5,3,1,4,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,7,4,8,3,2,5]=>[5,2,3,8,4,7,1,6]=>[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,1,6,7,3,2,8,4]=>[4,8,2,3,7,6,1,5]=>[4,2,3,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,6,1,7,3,2,8,4]=>[4,8,2,3,7,1,6,5]=>[4,2,3,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,7,3,2,8,4,1]=>[1,4,8,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,6,2,7,3,8,4,1]=>[1,4,8,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,6,2,7,3,1,8,4]=>[4,8,1,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,2,1,7,3,8,4]=>[4,8,3,7,1,2,6,5]=>[4,3,7,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,7,4,2,8,3,5]=>[5,3,8,2,4,7,1,6]=>[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,7,2,1,8,3,4,5]=>[5,4,3,8,1,2,7,6]=>[5,4,3,1,2,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[7,5,8,2,1,3,4,6]=>[6,4,3,1,2,8,5,7]=>[6,4,3,1,2,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,7,3,1,8,2,4,6]=>[6,4,2,8,1,3,7,5]=>[6,4,2,1,3,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,2,5,1,8,3,6]=>[6,3,8,1,5,2,4,7]=>[6,3,1,5,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,7,4,2,1,8,3,5]=>[5,3,8,1,2,4,7,6]=>[5,3,1,2,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,4,2,8,3,1,5]=>[5,1,3,8,2,4,7,6]=>[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,4,2,8,3,5,1]=>[1,5,3,8,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]=>[1,5,4,2,7,6,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,6,7,2,8,4,1,5]=>[5,1,4,8,2,7,6,3]=>[5,1,4,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,6,7,2,1,8,4,5]=>[5,4,8,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,7,3,8,2,1,4,6]=>[6,4,1,2,8,3,7,5]=>[6,4,1,2,3,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,4,7,8,2,1,5,6]=>[6,5,1,2,8,7,4,3]=>[6,5,1,2,7,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,7,8,1,4,6,2,5]=>[5,2,6,4,1,8,7,3]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,7,8,2,6,1,5]=>[5,1,6,2,8,7,4,3]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,7,3,8,2,6,1,4]=>[4,1,6,2,8,3,7,5]=>[4,1,6,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,7,2,8,5,1,4]=>[4,1,5,8,2,7,6,3]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,6,7,8,5,2,1,4]=>[4,1,2,5,8,7,6,3]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[3,6,7,8,5,2,4,1]=>[1,4,2,5,8,7,6,3]=>[1,4,2,5,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[6,4,7,8,2,5,3,1]=>[1,3,5,2,8,7,4,6]=>[1,3,5,2,7,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,1,5,7,8,2,6,3]=>[3,6,2,8,7,5,1,4]=>[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,8,1,6,2,4]=>[4,2,6,1,8,7,3,5]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,2,8,5,1,3,4]=>[4,3,1,5,8,2,7,6]=>[4,3,1,5,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,1,7,8,2,5,3]=>[3,5,2,8,7,1,4,6]=>[3,5,2,7,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,2,7,8,4,3]=>[3,4,8,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,6,2,1,7,8,4,3]=>[3,4,8,7,1,2,6,5]=>[3,4,7,1,2,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,6,2,7,1,8,4,3]=>[3,4,8,1,7,2,6,5]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,7,8,4,3,1]=>[1,3,4,8,7,2,6,5]=>[1,3,4,7,2,6,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,7,2,8,4,3,1]=>[1,3,4,8,2,7,6,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,6,7,2,1,8,4,3]=>[3,4,8,1,2,7,6,5]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,1,7,2,8,4,3]=>[3,4,8,2,7,1,6,5]=>[3,4,2,7,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,6,7,2,8,4,3]=>[3,4,8,2,7,6,1,5]=>[3,4,2,7,6,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,6,7,1,8,5,2,4]=>[4,2,5,8,1,7,6,3]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,8,5,2,4,1,3]=>[3,1,4,2,5,8,7,6]=>[3,1,4,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,8,3,5,1,4,2]=>[2,4,1,5,3,8,7,6]=>[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]=>[2,3,5,1,7,6,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,1,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]=>[2,3,4,7,6,1,5]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[5,6,1,7,8,4,3,2]=>[2,3,4,8,7,1,6,5]=>[2,3,4,7,1,6,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,6,7,1,8,4,3,2]=>[2,3,4,8,1,7,6,5]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[8,6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6,8]=>[7,5,2,4,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3,8]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,2,7,4,1,8,6]=>[6,8,1,4,7,2,3,5]=>[6,1,4,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,3,8,2,4,6,1]=>[1,6,4,2,8,3,5,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,4,5,8,3,6,1]=>[1,6,3,8,5,4,2,7]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,5,3,7,1,8,6]=>[6,8,1,7,3,5,4,2]=>[6,1,7,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[8,2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2,8]=>[7,1,3,6,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[8,1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1,8]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[8,2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2,8]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5,8]=>[7,3,4,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5,8]=>[7,2,1,4,6,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[8,1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1,8]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,5,3,7,2,1,8,6]=>[6,8,1,2,7,3,5,4]=>[6,1,2,7,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[7,4,5,8,3,2,6,1]=>[1,6,2,3,8,5,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,7,2,8,1,5]=>[5,1,8,2,7,6,3,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,4,3,6,7,2,8,5]=>[5,8,2,7,6,3,4,1]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]=>[6,2,1,7,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,4,7,1,2,8,6]=>[6,8,2,1,7,4,3,5]=>[6,2,1,7,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,5,8,2,1,4,6,3]=>[3,6,4,1,2,8,5,7]=>[3,6,4,1,2,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,8,4,1,6,2]=>[2,6,1,4,8,3,5,7]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,3,6,7,8,1,5,2]=>[2,5,1,8,7,6,3,4]=>[2,5,1,7,6,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,4,7,8,3,5,2,1]=>[1,2,5,3,8,7,4,6]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3]=>[2,4,7,6,5,1,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[4,6,1,7,8,3,5,2]=>[2,5,3,8,7,1,6,4]=>[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,6,7,1,4,8,5,2]=>[2,5,8,4,1,7,6,3]=>[2,5,4,1,7,6,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,4,1,7,8,5,3]=>[3,5,8,7,1,4,2,6]=>[3,5,7,1,4,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,6,7,1,4,8,3,5]=>[5,3,8,4,1,7,6,2]=>[5,3,4,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,6,7,8,1,2,5]=>[5,2,1,8,7,6,3,4]=>[5,2,1,7,6,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,5,3,6,7,8,2,4]=>[4,2,8,7,6,3,5,1]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,3]=>[1,4,2,7,6,5,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]=>[6,4,3,1,7,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,3,1,7,8,2,4,6]=>[6,4,2,8,7,1,3,5]=>[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,2,7,8,1,3,6]=>[6,3,1,8,7,2,5,4]=>[6,3,1,7,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,2,6,7,8,3,1,5]=>[5,1,3,8,7,6,2,4]=>[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,2,6,7,8,3,5,1]=>[1,5,3,8,7,6,2,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,6,2,7,4,8,5,1]=>[1,5,8,4,7,2,6,3]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]=>[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,2,1,6,4,7,8,5]=>[5,8,7,4,6,1,2,3]=>[5,7,4,6,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,7,4,2,1,5,8,6]=>[6,8,5,1,2,4,7,3]=>[6,5,1,2,4,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,7,3,4,2,5,8,6]=>[6,8,5,2,4,3,7,1]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,2,1,3,5,8,6]=>[6,8,5,3,1,2,7,4]=>[6,5,3,1,2,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[7,8,4,2,1,3,6,5]=>[5,6,3,1,2,4,8,7]=>[5,6,3,1,2,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,8,1,3,4,2,6,5]=>[5,6,2,4,3,1,8,7]=>[5,6,2,4,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,8,3,4,2,1,6,5]=>[5,6,1,2,4,3,8,7]=>[5,6,1,2,4,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,2,7,1,8,5,4]=>[4,5,8,1,7,2,3,6]=>[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,6,2,7,1,8,5,4]=>[4,5,8,1,7,2,6,3]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,3,8,2,5,4,1]=>[1,4,5,2,8,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,4,7,8,5,2,3,1]=>[1,3,2,5,8,7,4,6]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,6,4,7,8,1,5,3]=>[3,5,1,8,7,4,6,2]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,2,7,8,1,5,3]=>[3,5,1,8,7,2,6,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,4,5,8,6,2,1,3]=>[3,1,2,6,8,5,4,7]=>[3,1,2,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]=>[3,2,6,5,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]=>[4,3,6,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,2,7,1,3,8,5,4]=>[4,5,8,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,3,1,7,8,2,5,4]=>[4,5,2,8,7,1,3,6]=>[4,5,2,7,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,6,1,7,8,5,2,3]=>[3,2,5,8,7,1,6,4]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]=>[3,4,7,6,2,1,5]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[5,2,6,7,8,4,1,3]=>[3,1,4,8,7,6,2,5]=>[3,1,4,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,2,6,7,8,4,3,1]=>[1,3,4,8,7,6,2,5]=>[1,3,4,7,6,2,5]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,5,6,7,8,4,1,3]=>[3,1,4,8,7,6,5,2]=>[3,1,4,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,5,2,6,7,8,4,3]=>[3,4,8,7,6,2,5,1]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,4,7,8,5,2,3]=>[3,2,5,8,7,4,6,1]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,7,1,3,8,5,4]=>[4,5,8,3,1,7,6,2]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,7,8,2,1,5,4,3]=>[3,4,5,1,2,8,7,6]=>[3,4,5,1,2,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,3,8,5,1,4,2]=>[2,4,1,5,8,3,7,6]=>[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,8,5,3,1,2]=>[2,1,3,5,8,7,4,6]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,5,2,3,7,6,1,8]=>[8,1,6,7,3,2,5,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4,8]=>[7,2,1,5,6,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,6,3,4,8,7,2]=>[2,7,8,4,3,6,5,1]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,6,2,4,3,1,8]=>[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[1,7,5,4,8,3,6,2]=>[2,6,3,8,4,5,7,1]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,8,5,4,2,1,3,7]=>[7,3,1,2,4,5,8,6]=>[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[5,8,6,2,4,1,3,7]=>[7,3,1,4,2,6,8,5]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,8,2,6,5,1,3,7]=>[7,3,1,5,6,2,8,4]=>[7,3,1,5,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,2,8,6,5,1,4,7]=>[7,4,1,5,6,8,2,3]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]=>[3,7,5,6,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]=>[3,7,4,2,6,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]=>[3,7,2,4,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,1,5,4,8,2,6,3]=>[3,6,2,8,4,5,1,7]=>[3,6,2,4,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,8,6,7,4,5,3,2]=>[2,3,5,4,7,6,8,1]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]=>[3,5,2,4,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,1,7,8,2,4,5,3]=>[3,5,4,2,8,7,1,6]=>[3,5,4,2,7,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]=>[3,6,4,2,7,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,2,7,8,5,6,3]=>[3,6,5,8,7,2,1,4]=>[3,6,5,7,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,2,1,7,8,5,6,4]=>[4,6,5,8,7,1,2,3]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,8,2,7,1,5,3,6]=>[6,3,5,1,7,2,8,4]=>[6,3,5,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]=>[6,3,4,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,8,7,1,2,4,3,5]=>[5,3,4,2,1,7,8,6]=>[5,3,4,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,8,6,1,4,2,3,5]=>[5,3,2,4,1,6,8,7]=>[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,6,8,4,3,5,2]=>[2,5,3,4,8,6,7,1]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]=>[5,4,2,3,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]=>[6,4,3,1,2,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]=>[6,5,3,1,2,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,2,6,8,4,1,5,7]=>[7,5,1,4,8,6,2,3]=>[7,5,1,4,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>[7,5,1,3,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,8,2,3,1,4,7]=>[7,4,1,3,2,8,6,5]=>[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]=>[7,4,1,2,3,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5,8]=>[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,7,3,8,4,6,2]=>[2,6,4,8,3,7,5,1]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[8,4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4,8]=>[6,2,5,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]=>[7,6,1,3,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,2,3,1,8,7,6]=>[6,7,8,1,3,2,5,4]=>[6,7,1,3,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]=>[5,6,2,1,3,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[8,5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5,8]=>[4,2,6,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>[4,6,2,3,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]=>[4,7,2,3,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,6,1,2,3,8,7,4]=>[4,7,8,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,6,1,4,8,7,5]=>[5,7,8,4,1,6,2,3]=>[5,7,4,1,6,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,7,1,8,4,6,5]=>[5,6,4,8,1,7,2,3]=>[5,6,4,1,7,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,7,2,1,8,3,6,5]=>[5,6,3,8,1,2,7,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]=>[4,6,3,2,1,7,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,1,8,2,3,5,4]=>[4,5,3,2,8,1,7,6]=>[4,5,3,2,1,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>[4,5,2,3,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]=>[4,2,5,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,8,7,3,5,4,2]=>[2,4,5,3,7,8,6,1]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]=>[4,2,3,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>[4,3,5,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,8,1,2,7,6,3,4]=>[4,3,6,7,2,1,8,5]=>[4,3,6,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,8,2,1,7,6,3,5]=>[5,3,6,7,1,2,8,4]=>[5,3,6,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,2,8,1,7,6,4,5]=>[5,4,6,7,1,8,2,3]=>[5,4,6,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>[3,5,6,7,2,1,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[5,1,8,2,7,6,4,3]=>[3,4,6,7,2,8,1,5]=>[3,4,6,7,2,1,5]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[6,1,8,7,2,5,4,3]=>[3,4,5,2,7,8,1,6]=>[3,4,5,2,7,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,1,8,6,5,2,4,3]=>[3,4,2,5,6,8,1,7]=>[3,4,2,5,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,6,5,8,7,4]=>[4,7,8,5,6,2,1,3]=>[4,7,5,6,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,6,2,4,8,7,5]=>[5,7,8,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]=>[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,1,2,3,8,7,6]=>[6,7,8,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,6,1,2,3,8,7,5]=>[5,7,8,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,6,5,3,4,8,7,2]=>[2,7,8,4,3,5,6,1]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,5,2,4,8,7,3]=>[3,7,8,4,2,5,1,6]=>[3,7,4,2,5,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,5,1,2,3,8,7,4]=>[4,7,8,3,2,1,5,6]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]=>[5,7,3,2,1,4,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]=>[6,7,3,2,1,4,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,4,1,2,7,3,6,8]=>[8,6,3,7,2,1,4,5]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,4,1,8,2,3,5,7]=>[7,5,3,2,8,1,4,6]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,4,1,2,8,3,6,5]=>[5,6,3,8,2,1,4,7]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,5,1,2,8,3,6,4]=>[4,6,3,8,2,1,5,7]=>[4,6,3,2,1,5,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,1,5,2,8,4,6,3]=>[3,6,4,8,2,5,1,7]=>[3,6,4,2,5,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,7,5,3,8,4,6,2]=>[2,6,4,8,3,5,7,1]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,8,5,3,7,4,6,2]=>[2,6,4,7,3,5,8,1]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[8,1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1,8]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[8,5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5,8]=>[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4,8]=>[5,6,3,7,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6,8]=>[4,5,3,2,7,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,7,6,8,3,4,5,2]=>[2,5,4,3,8,6,7,1]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,1,6,8,2,4,5,3]=>[3,5,4,2,8,6,1,7]=>[3,5,4,2,6,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,6,1,8,2,3,5,4]=>[4,5,3,2,8,1,6,7]=>[4,5,3,2,1,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,7,1,2,8,3,6,5]=>[5,6,3,8,2,1,7,4]=>[5,6,3,2,1,7,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,7,2,8,4,6,5]=>[5,6,4,8,2,7,1,3]=>[5,6,4,2,7,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,2,7,8,5,6,4]=>[4,6,5,8,7,2,1,3]=>[4,6,5,7,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[1,4,3,8,7,5,6,2]=>[2,6,5,7,8,3,4,1]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,2,8,7,5,6,3]=>[3,6,5,7,8,2,1,4]=>[3,6,5,7,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,2,8,7,5,6,4]=>[4,6,5,7,8,2,1,3]=>[4,6,5,7,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,8,2,7,4,6,5]=>[5,6,4,7,2,8,1,3]=>[5,6,4,7,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]=>[5,4,2,6,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,1,6,2,3,5,8]=>[8,5,3,2,6,1,7,4]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,8,1,6,2,3,5,7]=>[7,5,3,2,6,1,8,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,8,1,7,2,3,5,6]=>[6,5,3,2,7,1,8,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,8,1,2,7,3,6,5]=>[5,6,3,7,2,1,8,4]=>[5,6,3,7,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,8,1,2,7,3,6,4]=>[4,6,3,7,2,1,8,5]=>[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,1,8,2,7,4,6,3]=>[3,6,4,7,2,8,1,5]=>[3,6,4,7,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[1,5,8,3,7,4,6,2]=>[2,6,4,7,3,8,5,1]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,8,7,3,4,5,2]=>[2,5,4,3,7,8,6,1]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,1,8,7,2,4,5,3]=>[3,5,4,2,7,8,1,6]=>[3,5,4,2,7,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,8,1,7,2,3,5,4]=>[4,5,3,2,7,1,8,6]=>[4,5,3,2,7,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,8,7,1,2,3,4,6]=>[6,4,3,2,1,7,8,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,8,6,1,2,3,4,7]=>[7,4,3,2,1,6,8,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,7,6,1,2,3,4,8]=>[8,4,3,2,1,6,7,5]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[7,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,7]=>[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,8,6,2,4,5,3]=>[3,5,4,2,6,8,1,7]=>[3,5,4,2,6,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,7,8,6,3,4,5,2]=>[2,5,4,3,6,8,7,1]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,1]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[8,1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1,8]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]=>[6,1,7,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]=>[7,1,6,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,5,1,6,3,8,7]=>[7,8,3,6,1,5,2,4]=>[7,3,6,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]=>[7,2,6,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]=>[7,2,6,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,3,5,1,6,2,8,7]=>[7,8,2,6,1,5,3,4]=>[7,2,6,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]=>[2,6,7,4,5,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]=>[2,6,7,3,5,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]=>[2,6,7,1,5,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]=>[2,5,7,1,6,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]=>[2,4,7,1,6,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]=>[2,4,7,3,6,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]=>[2,5,7,3,6,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]=>[2,5,7,4,6,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]=>[3,5,7,4,6,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]=>[5,2,7,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]=>[4,2,7,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]=>[1,4,7,3,6,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]=>[4,1,7,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]=>[4,3,7,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]=>[6,3,7,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]=>[5,1,7,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]=>[1,5,7,3,6,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]=>[5,1,7,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]=>[5,4,7,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,2,4,1,7,5,8,6]=>[6,8,5,7,1,4,2,3]=>[6,5,7,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]=>[5,6,7,2,4,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,6,5,7,3,8,1]=>[1,8,3,7,5,6,2,4]=>[1,3,7,5,6,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]=>[3,1,7,5,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]=>[3,5,7,1,6,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>[3,6,7,1,5,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,1,5,2,7,6,8,3]=>[3,8,6,7,2,5,1,4]=>[3,6,7,2,5,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]=>[4,6,7,2,5,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,5,3,7,6,8,4]=>[4,8,6,7,3,5,1,2]=>[4,6,7,3,5,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]=>[4,5,7,3,6,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,1,6,2,7,5,8,4]=>[4,8,5,7,2,6,1,3]=>[4,5,7,2,6,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]=>[3,5,7,2,6,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5]=>[3,4,7,1,6,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]=>[3,1,7,4,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]=>[1,3,7,4,6,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]=>[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]=>[3,2,7,4,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]=>[3,2,7,5,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]=>[4,2,7,5,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]=>[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]=>[2,4,7,5,6,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]=>[2,3,7,5,6,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]=>[2,3,7,4,6,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]=>[2,3,7,1,6,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3,8]=>[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6,8]=>[7,1,4,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,5,2,4,1,8,6]=>[6,8,1,4,2,5,7,3]=>[6,1,4,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8]=>[1,6,4,2,5,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[8,2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2,8]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,4,5,7,3,1,8,6]=>[6,8,1,3,7,5,4,2]=>[6,1,3,7,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[8,2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2,8]=>[7,1,3,5,6,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[8,2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2,8]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[8,6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6,8]=>[7,2,4,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,4,3,2,1,8,6]=>[6,8,1,2,3,4,7,5]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[4,6,8,3,2,7,5,1]=>[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,7,6,3,2,8,1,5]=>[5,1,8,2,3,6,7,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,4,6,7,3,2,8,5]=>[5,8,2,3,7,6,4,1]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[5,4,7,3,1,8,2,6]=>[6,2,8,1,3,7,4,5]=>[6,2,1,3,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,7,4,5,3,2,8,6]=>[6,8,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,7,5,1,4,2,8,6]=>[6,8,2,4,1,5,7,3]=>[6,2,4,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,7,4,2,1,3,8,6]=>[6,8,3,1,2,4,7,5]=>[6,3,1,2,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[8,3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3,8]=>[2,6,4,1,5,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[8,4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4,8]=>[2,6,3,5,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,6,3,8,7,1,5,2]=>[2,5,1,7,8,3,6,4]=>[2,5,1,7,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[1,7,4,8,6,3,5,2]=>[2,5,3,6,8,4,7,1]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,6,5,8,7,4,1,2]=>[2,1,4,7,8,5,6,3]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[3,1,5,8,6,7,4,2]=>[2,4,7,6,8,5,1,3]=>[2,4,7,6,5,1,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[4,8,1,6,7,3,5,2]=>[2,5,3,7,6,1,8,4]=>[2,5,3,7,6,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[3,6,4,1,8,7,5,2]=>[2,5,7,8,1,4,6,3]=>[2,5,7,1,4,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[8,2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2,8]=>[3,5,7,4,1,6,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[2,7,6,8,1,4,3,5]=>[5,3,4,1,8,6,7,2]=>[5,3,4,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,1,6,4,8,2,5]=>[5,2,8,4,6,1,7,3]=>[5,2,4,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,7,3,5,6,8,2,4]=>[4,2,8,6,5,3,7,1]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,7,5,8,2,4]=>[4,2,8,5,7,6,3,1]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,6,5,8,2,1,4]=>[4,1,2,8,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,6,8,5,7,2,4,1]=>[1,4,2,7,5,8,6,3]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,3,5,7,6,8,1,4]=>[4,1,8,6,7,5,3,2]=>[4,1,6,7,5,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]=>[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,2,7,6,8,3,1,5]=>[5,1,3,8,6,7,2,4]=>[5,1,3,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,2,6,8,7,3,5,1]=>[1,5,3,7,8,6,2,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,8,2,4,6,7,5,1]=>[1,5,7,6,4,2,8,3]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,7,2,6,4,8,1,5]=>[5,1,8,4,6,2,7,3]=>[5,1,4,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,2,6,1,4,7,8,5]=>[5,8,7,4,1,6,2,3]=>[5,7,4,1,6,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,3,7,2,1,8,4,6]=>[6,4,8,1,2,7,3,5]=>[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,7,3,2,1,5,8,6]=>[6,8,5,1,2,3,7,4]=>[6,5,1,2,3,7,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]=>[4,6,1,2,3,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[8,3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3,8]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,7,8,6,2,1,5,4]=>[4,5,1,2,6,8,7,3]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]=>[3,5,6,1,4,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,6,8,2,1,7,5,3]=>[3,5,7,1,2,8,6,4]=>[3,5,7,1,2,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[8,4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4,8]=>[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5,8]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[8,2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2,8]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[8,3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3,8]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,1,8,7,2,5,3]=>[3,5,2,7,8,1,6,4]=>[3,5,2,7,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1,8]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[8,2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2,8]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,1,7,8,5,6,4,3]=>[3,4,6,5,8,7,1,2]=>[3,4,6,5,7,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[8,2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[2,7,6,8,5,4,1,3]=>[3,1,4,5,8,6,7,2]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,7,2,5,8,6,4,3]=>[3,4,6,8,5,2,7,1]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,7,4,8,2,6,5,3]=>[3,5,6,2,8,4,7,1]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,8,1,6,5,2,4]=>[4,2,5,6,1,8,7,3]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,8,6,1,3,5,4]=>[4,5,3,1,6,8,7,2]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8]=>[2,4,1,5,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[8,4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4,8]=>[2,3,1,5,6,7,4]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8]=>[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]=>[7,4,2,1,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[4,6,3,5,1,2,8,7]=>[7,8,2,1,5,3,6,4]=>[7,2,1,5,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5,8]=>[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,8,1,4,5,7,3,2]=>[2,3,7,5,4,1,8,6]=>[2,3,7,5,4,1,6]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[8,7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7,8]=>[6,3,1,5,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,2,4,5,1,8,7]=>[7,8,1,5,4,2,6,3]=>[7,1,5,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,6,1,4,5,3,8,7]=>[7,8,3,5,4,1,6,2]=>[7,3,5,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,2,4,5,3,8,7]=>[7,8,3,5,4,2,1,6]=>[7,3,5,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,6,3,2,1,4,8,7]=>[7,8,4,1,2,3,6,5]=>[7,4,1,2,3,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,4,3,6,1,2,8,7]=>[7,8,2,1,6,3,4,5]=>[7,2,1,6,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,1,4,5,2,8,7]=>[7,8,2,5,4,1,3,6]=>[7,2,5,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,6,4,5,2,8,7]=>[7,8,2,5,4,6,1,3]=>[7,2,5,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]=>[6,2,1,5,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,8,7,4,2,6,3,1]=>[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,8,7,4,1,6,3,5]=>[5,3,6,1,4,7,8,2]=>[5,3,6,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[8,1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1,8]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[6,2,1,5,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]=>[6,4,3,5,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,1,6,8,5,7,3,4]=>[4,3,7,5,8,6,1,2]=>[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,7,6,4,5,8,2,1]=>[1,2,8,5,4,6,7,3]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[8,5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5,8]=>[2,3,6,1,4,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,1,8,4,7,6,2,3]=>[3,2,6,7,4,8,1,5]=>[3,2,6,7,4,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,5,8,4,7,6,1,3]=>[3,1,6,7,4,8,5,2]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,4,8,3,5,6,7,1]=>[1,7,6,5,3,8,4,2]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[4,1,8,3,5,6,7,2]=>[2,7,6,5,3,8,1,4]=>[2,7,6,5,3,1,4]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,8,4,2,5,6,7,1]=>[1,7,6,5,2,4,8,3]=>[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[8,4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4,8]=>[2,7,6,5,3,1,4]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,5,8,4,3,6,1,2]=>[2,1,6,3,4,8,5,7]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,5,3,8,4,1,7,2]=>[2,7,1,4,8,3,5,6]=>[2,7,1,4,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,8,4,6,7,3]=>[3,7,6,4,8,5,1,2]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,1,4,8,3,6,7,5]=>[5,7,6,3,8,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,6]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,3,8,4,2,6,1,5]=>[5,1,6,2,4,8,3,7]=>[5,1,6,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3,8]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,1,8,2,5,6,7,4]=>[4,7,6,5,2,8,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,3,8,1,5,6,7,4]=>[4,7,6,5,1,8,3,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,3,8,2,5,6,7,1]=>[1,7,6,5,2,8,3,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,8,2,3,5,6,7,1]=>[1,7,6,5,3,2,8,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,8,2,1,5,6,7,4]=>[4,7,6,5,1,2,8,3]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,8,1,3,5,6,7,4]=>[4,7,6,5,3,1,8,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,8,2,4,3,6,1,5]=>[5,1,6,3,4,2,8,7]=>[5,1,6,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,8,3,2,4,1,7,5]=>[5,7,1,4,2,3,8,6]=>[5,7,1,4,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,8,3,4,6,7,5]=>[5,7,6,4,3,8,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]=>[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[7,1,8,4,5,3,2,6]=>[6,2,3,5,4,8,1,7]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,7,8,4,5,3,1,6]=>[6,1,3,5,4,8,7,2]=>[6,1,3,5,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[8,7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7,8]=>[5,2,6,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,8,7,4,2,6,1,5]=>[5,1,6,2,4,7,8,3]=>[5,1,6,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,6,3,8,4,2,7,1]=>[1,7,2,4,8,3,6,5]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,8,3,6,2,1,7,5]=>[5,7,1,2,6,3,8,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]=>[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]=>[6,1,4,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,3,1,8,5,7,6]=>[6,7,5,8,1,3,4,2]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]=>[5,7,6,2,3,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,5,3,6,2,8,1,4]=>[4,1,8,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[8,6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6,8]=>[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,8,3,2,6,1,7,4]=>[4,7,1,6,2,3,8,5]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,5,3,8,6,2,7,1]=>[1,7,2,6,8,3,5,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,5,8,4,7,6,2,1]=>[1,2,6,7,4,8,5,3]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[5,8,2,4,7,6,1,3]=>[3,1,6,7,4,2,8,5]=>[3,1,6,7,4,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[8,7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7,8]=>[3,2,6,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,7,6,4,5,8,1,3]=>[3,1,8,5,4,6,7,2]=>[3,1,5,4,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[7,1,6,4,5,8,2,3]=>[3,2,8,5,4,6,1,7]=>[3,2,5,4,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]=>[4,2,1,6,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,1,8,5,3,6,7,4]=>[4,7,6,3,5,8,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,8,3,5,2,1,7,4]=>[4,7,1,2,5,3,8,6]=>[4,7,1,2,5,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,8,5,4,2,6,1,3]=>[3,1,6,2,4,5,8,7]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1,8]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,8,1,2,5,6,7,3]=>[3,7,6,5,2,1,8,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,4,8,1,5,6,7,2]=>[2,7,6,5,1,8,4,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]=>[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,4,1,8,5,6,7,3]=>[3,7,6,5,8,1,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[8,4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4,8]=>[3,7,6,5,1,2,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,5,2,4,8,6,1,3]=>[3,1,6,8,4,2,5,7]=>[3,1,6,4,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]=>[4,7,1,2,3,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,3,8,6,7,4]=>[4,7,6,8,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,4,3,5,8,1,7,2]=>[2,7,1,8,5,3,4,6]=>[2,7,1,5,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,5,4,8,6,1,2]=>[2,1,6,8,4,5,3,7]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[8,3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3,8]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,3,1,8,5,6,7,2]=>[2,7,6,5,8,1,3,4]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,1,4,8,5,6,7,2]=>[2,7,6,5,8,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,5,3,7,2,8,4,1]=>[1,4,8,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,7,4,5,8,2,1]=>[1,2,8,5,4,7,3,6]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,7,2,4,5,8,3,1]=>[1,3,8,5,4,2,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,1,7,4,8,6,3,2]=>[2,3,6,8,4,7,1,5]=>[2,3,6,4,7,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[2,5,7,4,8,6,3,1]=>[1,3,6,8,4,7,5,2]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,6,3,7,1,8,4,2]=>[2,4,8,1,7,3,6,5]=>[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[6,1,2,5,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,5,4,8,6,2,1]=>[1,2,6,8,4,5,7,3]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,7,1,4,8,6,2,3]=>[3,2,6,8,4,1,7,5]=>[3,2,6,4,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,3,1,8,2,7,4]=>[4,7,2,8,1,3,6,5]=>[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,6,3,5,8,2,7,1]=>[1,7,2,8,5,3,6,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,8,1,2,7,5]=>[5,7,2,1,8,3,6,4]=>[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,7,8,4,1,6,2,5]=>[5,2,6,1,4,8,7,3]=>[5,2,6,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,2,5,1,6,8,4,7]=>[7,4,8,6,1,5,2,3]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,2,5,4,8,1,7]=>[7,1,8,4,5,2,6,3]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,2,4,7,1,8,6]=>[6,8,1,7,4,2,5,3]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,5,8,3,7,6,1]=>[1,6,7,3,8,5,2,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,6,5,3,8,1,7]=>[7,1,8,3,5,6,2,4]=>[7,1,3,5,6,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,2,1,6,8,3,7]=>[7,3,8,6,1,2,4,5]=>[7,3,6,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,5,1,4,8,2,7]=>[7,2,8,4,1,5,3,6]=>[7,2,4,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,1,5,3,8,2,7]=>[7,2,8,3,5,1,6,4]=>[7,2,3,5,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,6,4,3,8,2,7]=>[7,2,8,3,4,6,1,5]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,7,6,2,1,8,5]=>[5,8,1,2,6,7,3,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,4,3,1,7,2,8,5]=>[5,8,2,7,1,3,4,6]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,4,3,1,8,2,6]=>[6,2,8,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,4,7,5,8,3,2,6]=>[6,2,3,8,5,7,4,1]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[7,1,3,5,8,4,2,6]=>[6,2,4,8,5,3,1,7]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]=>[6,3,1,4,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,5,8,7,1,4,6,2]=>[2,6,4,1,7,8,5,3]=>[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,5,4,8,7,3,6,2]=>[2,6,3,7,8,4,5,1]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,4,3,8,1,7,5,2]=>[2,5,7,1,8,3,4,6]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,7,1,8,6,5,2]=>[2,5,6,8,1,7,3,4]=>[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,3,8,7,6,4,2,1]=>[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,8,6,5,3,7,4,2]=>[2,4,7,3,5,6,8,1]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,8,6,3,7,4,2]=>[2,4,7,3,6,8,5,1]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,1,8,7,3,5,2]=>[2,5,3,7,8,1,6,4]=>[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,8,7,3,1,4,5,2]=>[2,5,4,1,3,7,8,6]=>[2,5,4,1,3,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,6,2,8,4,1,3,5]=>[5,3,1,4,8,2,6,7]=>[5,3,1,4,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,3,1,6,8,4,2,5]=>[5,2,4,8,6,1,3,7]=>[5,2,4,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,7,1,6,3,2,8,4]=>[4,8,2,3,6,1,7,5]=>[4,2,3,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,5,3,2,8,4]=>[4,8,2,3,5,7,1,6]=>[4,2,3,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[7,6,5,3,2,1,8,4]=>[4,8,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,8,7,4,1]=>[1,4,7,8,2,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,6,3,8,7,4,1]=>[1,4,7,8,3,6,2,5]=>[1,4,7,3,6,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,7,6,3,1,8,4]=>[4,8,1,3,6,7,2,5]=>[4,1,3,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,5,2,1,7,3,8,4]=>[4,8,3,7,1,2,5,6]=>[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,2,7,4,1,8,3,6]=>[6,3,8,1,4,7,2,5]=>[6,3,1,4,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,7,2,6,3,1,8,5]=>[5,8,1,3,6,2,7,4]=>[5,1,3,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,8,6,2,4,7,5,1]=>[1,5,7,4,2,6,8,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]=>[5,1,4,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,7,2,1,4,8,5]=>[5,8,4,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,3,7,8,2,1,5,6]=>[6,5,1,2,8,7,3,4]=>[6,5,1,2,7,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[8,3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3,8]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,8,2,5,7,1,6,4]=>[4,6,1,7,5,2,8,3]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[8,3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3,8]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]=>[4,5,1,2,6,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,7,8,2,1,6,5,3]=>[3,5,6,1,2,8,7,4]=>[3,5,6,1,2,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]=>[3,5,7,1,6,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,8,1,5,7,2,6,3]=>[3,6,2,7,5,1,8,4]=>[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]=>[4,3,1,6,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]=>[4,3,1,5,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,8,1,7,5,2,4]=>[4,2,5,7,1,8,6,3]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,6,8,2,7,4,3]=>[3,4,7,2,8,6,1,5]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[3,4,7,1,2,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,2,7,1,8,6,4,3]=>[3,4,6,8,1,7,2,5]=>[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,8,2,7,6,4,3,1]=>[1,3,4,6,7,2,8,5]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,8,7,5,4,3,1]=>[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,2,6]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,6,2,1,8,5,4,3]=>[3,4,5,8,1,2,6,7]=>[3,4,5,1,2,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,1,7,2,8,5,4,3]=>[3,4,5,8,2,7,1,6]=>[3,4,5,2,7,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,5,1,8,2,6,4,3]=>[3,4,6,2,8,1,5,7]=>[3,4,6,2,1,5,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,7,1,8,6,2,5,3]=>[3,5,2,6,8,1,7,4]=>[3,5,2,6,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,8,3,1,6,5,2,4]=>[4,2,5,6,1,3,8,7]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8]=>[2,3,5,1,6,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8]=>[2,3,4,6,1,7,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]=>[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]=>[1,6,7,3,2,4,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]=>[7,5,1,3,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]=>[1,5,4,6,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[6,8,5,2,3,1,4,7]=>[7,4,1,3,2,5,8,6]=>[7,4,1,3,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,8,6,2,3,1,4,7]=>[7,4,1,3,2,6,8,5]=>[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,8,2,6,3,1,5,7]=>[7,5,1,3,6,2,8,4]=>[7,5,1,3,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,2,8,6,4,1,5,7]=>[7,5,1,4,6,8,2,3]=>[7,5,1,4,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]=>[7,5,4,6,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,5,2,8,3,4,6]=>[6,4,3,8,2,5,1,7]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,1,6,8,2,3,4,5]=>[5,4,3,2,8,6,1,7]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,2,1,7,8,4,5,6]=>[6,5,4,8,7,1,2,3]=>[6,5,4,7,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,2,8,7,1,4,5,6]=>[6,5,4,1,7,8,2,3]=>[6,5,4,1,7,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,8,7,2,1,3,4,6]=>[6,4,3,1,2,7,8,5]=>[6,4,3,1,2,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,7,6,8,2,3,4,5]=>[5,4,3,2,8,6,7,1]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[6,5,8,2,3,1,4,7]=>[7,4,1,3,2,8,5,6]=>[7,4,1,3,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]=>[6,4,3,1,2,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,4,2,8,3,1,5,7]=>[7,5,1,3,8,2,4,6]=>[7,5,1,3,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,2,3,8,1,6,7]=>[7,6,1,8,3,2,4,5]=>[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,5,4,1,8,6,7]=>[7,6,8,1,4,5,2,3]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,2,3,1,8,6,7]=>[7,6,8,1,3,2,5,4]=>[7,6,1,3,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]=>[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]=>[7,5,3,1,2,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,4,2,1,8,3,5,6]=>[6,5,3,8,1,2,4,7]=>[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,2,8,7,3,5,6]=>[6,5,3,7,8,2,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[6,5,1,2,3,8,4,7]=>[7,4,8,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]=>[7,5,3,1,2,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,2,6,1,4,8,5,7]=>[7,5,8,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,3]=>[6,5,4,1,7,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,7,2,1,8,3,5,6]=>[6,5,3,8,1,2,7,4]=>[6,5,3,1,2,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6,8]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,7]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,8,2,1,7,3,5,6]=>[6,5,3,7,1,2,8,4]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,2,8,1,7,4,5,6]=>[6,5,4,7,1,8,2,3]=>[6,5,4,7,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]=>[6,5,4,7,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,1,8,7,2,3,4,5]=>[5,4,3,2,7,8,1,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]=>[7,4,2,1,5,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]=>[7,2,1,6,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[8,3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3,8]=>[6,4,1,2,5,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,3,7,5,1,8,4,2]=>[2,4,8,1,5,7,3,6]=>[2,4,1,5,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]=>[4,3,1,7,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]=>[6,3,1,4,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,1,5,4,3,8,7]=>[7,8,3,4,5,1,6,2]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,3,5,1,2,8,7]=>[7,8,2,1,5,3,4,6]=>[7,2,1,5,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,1,4,6,2,8,7]=>[7,8,2,6,4,1,3,5]=>[7,2,6,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,4,6,5,2,8,7]=>[7,8,2,5,6,4,1,3]=>[7,2,5,6,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[8,1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1,8]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]=>[6,1,2,5,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]=>[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6,8]=>[2,4,7,1,5,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,8,2,4,6,7,3,1]=>[1,3,7,6,4,2,8,5]=>[1,3,7,6,4,2,5]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,4,8,6,5,7,1,2]=>[2,1,7,5,6,8,4,3]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[7,5,4,8,1,6,3,2]=>[2,3,6,1,8,4,5,7]=>[2,3,6,1,4,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,1,4,6,8,2,7,3]=>[3,7,2,8,6,4,1,5]=>[3,7,2,6,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,5,4,6,7,1,8,3]=>[3,8,1,7,6,4,5,2]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,4,6,3,7,5,8,1]=>[1,8,5,7,3,6,4,2]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[4,1,6,3,8,5,7,2]=>[2,7,5,8,3,6,1,4]=>[2,7,5,3,6,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,7,4,2,8,6,5,1]=>[1,5,6,8,2,4,7,3]=>[1,5,6,2,4,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,4,1,3,5,8,6,2]=>[2,6,8,5,3,1,4,7]=>[2,6,5,3,1,4,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,5,8,4,1,7,3,2]=>[2,3,7,1,4,8,5,6]=>[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[8,5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5,8]=>[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,4,3,8,2,1,6,5]=>[5,6,1,2,8,3,4,7]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,3,7,4,1,8,2,5]=>[5,2,8,1,4,7,3,6]=>[5,2,1,4,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3,8]=>[4,6,7,5,2,1,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,1,8,2,7,6,5,4]=>[4,5,6,7,2,8,1,3]=>[4,5,6,7,2,1,3]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2]=>[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,3,7,2,6,8,5,1]=>[1,5,8,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,7,2,3,8,5,6,1]=>[1,6,5,8,3,2,7,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,8,2,1,7,5,6,4]=>[4,6,5,7,1,2,8,3]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,8,1,3,6,5,7,4]=>[4,7,5,6,3,1,8,2]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,7,8,5,4,3,1,6]=>[6,1,3,4,5,8,7,2]=>[6,1,3,4,5,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[8,7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7,8]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,8,6,7,2,4,1,5]=>[5,1,4,2,7,6,8,3]=>[5,1,4,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,8,7,4,2,6,1]=>[1,6,2,4,7,8,3,5]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[8,3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3,8]=>[5,7,2,4,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,3,5,8,2,4,1,6]=>[6,1,4,2,8,5,3,7]=>[6,1,4,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,3,4,1,8,5,7,6]=>[6,7,5,8,1,4,3,2]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,3,2,6,7,8,5]=>[5,8,7,6,2,3,1,4]=>[5,7,6,2,3,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[8,3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3,8]=>[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,8,7,4,1,3]=>[3,1,4,7,8,2,6,5]=>[3,1,4,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,8,6,5,4,7,1,3]=>[3,1,7,4,5,6,8,2]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[8,1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1,8]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,8,3,6,1,7,2,4]=>[4,2,7,1,6,3,8,5]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,8,6,5,7,3,4]=>[4,3,7,5,6,8,1,2]=>[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,1,7,5,3,6,8,4]=>[4,8,6,3,5,7,1,2]=>[4,6,3,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,7,3,5,2,1,8,4]=>[4,8,1,2,5,3,7,6]=>[4,1,2,5,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[7,1,4,2,5,6,8,3]=>[3,8,6,5,2,4,1,7]=>[3,6,5,2,4,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,4,1,6,5,8,3]=>[3,8,5,6,1,4,7,2]=>[3,5,6,1,4,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,6,1,2,8,7,3,5]=>[5,3,7,8,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,1,5,8,7,6,3]=>[3,6,7,8,5,1,4,2]=>[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,1,2,5,8,6,7,3]=>[3,7,6,8,5,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,4,2,1,5,8,7,3]=>[3,7,8,5,1,2,4,6]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[8,5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5,8]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,1,5,3,6,8,7,4]=>[4,7,8,6,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,3,5,4,6,1,8,2]=>[2,8,1,6,4,5,3,7]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,3,4,1,5,7,8,2]=>[2,8,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,3,1,5,7,6,8,2]=>[2,8,6,7,5,1,3,4]=>[2,6,7,5,1,3,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,1,4,5,6,8,7,2]=>[2,7,8,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]=>[7,1,3,6,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]=>[7,3,4,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,2,7,4,8,3,1]=>[1,3,8,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]=>[4,6,1,2,5,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,3,7,5,2,8,4,1]=>[1,4,8,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]=>[7,2,4,5,6,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,6,3,2,4,1,8,7]=>[7,8,1,4,2,3,6,5]=>[7,1,4,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,4,1,5,8,7]=>[7,8,5,1,4,2,6,3]=>[7,5,1,4,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,6,1,3,5,4,8,7]=>[7,8,4,5,3,1,6,2]=>[7,4,5,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,7,2,3,4,8,5,1]=>[1,5,8,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8]=>[5,6,1,4,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]=>[2,6,4,3,7,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,5,7,3,8,6,4,1]=>[1,4,6,8,3,7,5,2]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,6,1,3,5,8,4,2]=>[2,4,8,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]=>[2,5,1,4,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]=>[2,1,4,7,3,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,1,6,7,4,8,5,3]=>[3,5,8,4,7,6,1,2]=>[3,5,4,7,6,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,8,3,7,4,2,6,1]=>[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,8,7,4,1,2,6,5]=>[5,6,2,1,4,7,8,3]=>[5,6,2,1,4,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,8,1,3,5,2,6,4]=>[4,6,2,5,3,1,8,7]=>[4,6,2,5,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]=>[4,1,6,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,8,6,3,1,5,7,4]=>[4,7,5,1,3,6,8,2]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[2,8,4,1,6,3,7,5]=>[5,7,3,6,1,4,8,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,8,1,2,7,6,3,5]=>[5,3,6,7,2,1,8,4]=>[5,3,6,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,8,4,2,5,7,1,6]=>[6,1,7,5,2,4,8,3]=>[6,1,7,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,8,3,5,2,7,4,1]=>[1,4,7,2,5,3,8,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]=>[4,6,7,3,5,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,5,2,4,8,1,6,3]=>[3,6,1,8,4,2,5,7]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,2,8,5,7,6,1]=>[1,6,7,5,8,2,4,3]=>[1,6,7,5,2,4,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,4,1,8,7,6,5,3]=>[3,5,6,7,8,1,4,2]=>[3,5,6,7,1,4,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]=>[6,3,5,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,1,8,6,7,5,2]=>[2,5,7,6,8,1,3,4]=>[2,5,7,6,1,3,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,1,4,8,6,5,7,2]=>[2,7,5,6,8,4,1,3]=>[2,7,5,6,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,1,6,5,4,8,2,3]=>[3,2,8,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,5,6,8,4,2,1]=>[1,2,4,8,6,5,7,3]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]=>[3,4,2,6,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6,8]=>[3,4,7,1,5,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[4,3,7,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,5,2,6,3,8,1,4]=>[4,1,8,3,6,2,5,7]=>[4,1,3,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,1,2,3,6,8,7,5]=>[5,7,8,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,4,3,1,8,5,6,7]=>[7,6,5,8,1,3,4,2]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[7,5,2,8,3,4,6,1]=>[1,6,4,3,8,2,5,7]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,6,2,8,4,3,1,7]=>[7,1,3,4,8,2,6,5]=>[7,1,3,4,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]=>[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]=>[3,6,5,4,1,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,6,8,7,1,5,4,2]=>[2,4,5,1,7,8,6,3]=>[2,4,5,1,7,6,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[7,1,8,5,4,3,6,2]=>[2,6,3,4,5,8,1,7]=>[2,6,3,4,5,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,7,8,4,5,3,6,1]=>[1,6,3,5,4,8,7,2]=>[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[5,7,3,8,1,4,6,2]=>[2,6,4,1,8,3,7,5]=>[2,6,4,1,3,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,1,7,8,5,4,6,3]=>[3,6,4,5,8,7,1,2]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,1,5,8,4,6,3,7]=>[7,3,6,4,8,5,1,2]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,5,3,8,4,1,2,7]=>[7,2,1,4,8,3,5,6]=>[7,2,1,4,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,8,3,5,6,1,7]=>[7,1,6,5,3,8,4,2]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[4,1,8,3,6,5,2,7]=>[7,2,5,6,3,8,1,4]=>[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,4,8,1,7,2,5,6]=>[6,5,2,7,1,8,4,3]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]=>[5,6,2,7,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,8,2,4,7,6,5]=>[5,6,7,4,2,8,1,3]=>[5,6,7,4,2,1,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[2,3,8,1,4,6,7,5]=>[5,7,6,4,1,8,3,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,3,8,2,5,1,7,6]=>[6,7,1,5,2,8,3,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,8,4,2,5,7,1]=>[1,7,5,2,4,8,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]=>[6,1,5,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,1,4,8,3,5,7,6]=>[6,7,5,3,8,4,1,2]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,8,2,4,3,5,1,7]=>[7,1,5,3,4,2,8,6]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,8,2,3,5,1,6,7]=>[7,6,1,5,3,2,8,4]=>[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,8,2,1,4,6,5,7]=>[7,5,6,4,1,2,8,3]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,8,1,3,4,5,7,6]=>[6,7,5,4,3,1,8,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]=>[5,3,4,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]=>[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,7,6,1,4,8,2]=>[2,8,4,1,6,7,5,3]=>[2,4,1,6,7,5,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[4,1,2,3,7,6,8,5]=>[5,8,6,7,3,2,1,4]=>[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[5,6,8,2,3,1,7,4]=>[4,7,1,3,2,8,6,5]=>[4,7,1,3,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,2,4,8,1,7]=>[7,1,8,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]=>[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,8,4,2,1,5,3,6]=>[6,3,5,1,2,4,8,7]=>[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,8,2,1,6,5,3,4]=>[4,3,5,6,1,2,8,7]=>[4,3,5,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,4,1,2,5,7,3,8]=>[8,3,7,5,2,1,4,6]=>[3,7,5,2,1,4,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,4,8,1,5,7,3,6]=>[6,3,7,5,1,8,4,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,8,1,7,2,5,6]=>[6,5,2,7,1,8,3,4]=>[6,5,2,7,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,3,1,4,7,2,5,8]=>[8,5,2,7,4,1,3,6]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,8,3,4,5,1,6,2]=>[2,6,1,5,4,3,8,7]=>[2,6,1,5,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]=>[6,1,2,4,5,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,8,4,1,2,3,6,5]=>[5,6,3,2,1,4,8,7]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,8,2,1,5,3,4,6]=>[6,4,3,5,1,2,8,7]=>[6,4,3,5,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]=>[5,3,1,4,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,8,2,5,6,4,1,3]=>[3,1,4,6,5,2,8,7]=>[3,1,4,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,3,8,2,6,4,7,5]=>[5,7,4,6,2,8,3,1]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]=>[2,4,6,1,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,6,2,7,4,1,8]=>[8,1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,1,2,5,8,7,4,3]=>[3,4,7,8,5,2,1,6]=>[3,4,7,5,2,1,6]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[6,3,1,8,4,2,7,5]=>[5,7,2,4,8,1,3,6]=>[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,4,2,1,5,3,8,7]=>[7,8,3,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,4,3,7,5,8,1,2]=>[2,1,8,5,7,3,4,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]=>[6,3,5,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,7,6,4,2,8,5]=>[5,8,2,4,6,7,3,1]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,1,7,5,6,8,4,3]=>[3,4,8,6,5,7,1,2]=>[3,4,6,5,7,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,7,2,8,6,4,1,5]=>[5,1,4,6,8,2,7,3]=>[5,1,4,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,8,1,7,6,4,5,2]=>[2,5,4,6,7,1,8,3]=>[2,5,4,6,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,7,5,8,3,6,1,4]=>[4,1,6,3,8,5,7,2]=>[4,1,6,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,5,6,8,2,4,7,3]=>[3,7,4,2,8,6,5,1]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,6,8,5,3,1,4,7]=>[7,4,1,3,5,8,6,2]=>[7,4,1,3,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,6,1,4,7,3,5,8]=>[8,5,3,7,4,1,6,2]=>[5,3,7,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,7,3,8,4,1,2]=>[2,1,4,8,3,7,6,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,2,8,1,4,7,3,6]=>[6,3,7,4,1,8,2,5]=>[6,3,7,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,7,5,2,1,3,8]=>[8,3,1,2,5,7,6,4]=>[3,1,2,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4]=>[3,1,2,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,5,7,6,1,8,3,2]=>[2,3,8,1,6,7,5,4]=>[2,3,1,6,7,5,4]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,5,8,6,2,7,3,4]=>[4,3,7,2,6,8,5,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,5,7,1,2,8,3]=>[3,8,2,1,7,5,6,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,7,5,6,3,1,8,2]=>[2,8,1,3,6,5,7,4]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,6,3,4,2,8,7]=>[7,8,2,4,3,6,1,5]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,4,2,3,8,6]=>[6,8,3,2,4,1,7,5]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,7,6,4,3,8,1,2]=>[2,1,8,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[6,3,4,5,8,7,1,2]=>[2,1,7,8,5,4,3,6]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,2,4,1,8,3,7,5]=>[5,7,3,8,1,4,2,6]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,2,3,5,4,8,1,7]=>[7,1,8,4,5,3,2,6]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,1,3,4,5,8,7,2]=>[2,7,8,5,4,3,1,6]=>[2,7,5,4,3,1,6]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,1,4,2,7,6,8,3]=>[3,8,6,7,2,4,1,5]=>[3,6,7,2,4,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,6,2,4,7,8,3,5]=>[5,3,8,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,1,4,2,8,5,3,7]=>[7,3,5,8,2,4,1,6]=>[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,5,8,1,4,3,2]=>[2,3,4,1,8,5,7,6]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]=>[4,1,3,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,7,2,6,5,3,8]=>[8,3,5,6,2,7,1,4]=>[3,5,6,2,7,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,8,2,1,5,6,3,7]=>[7,3,6,5,1,2,8,4]=>[7,3,6,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,2,7,8,1,6,3,5]=>[5,3,6,1,8,7,2,4]=>[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]=>[5,6,2,7,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,7,4,5,6,8,2]=>[2,8,6,5,4,7,1,3]=>[2,6,5,4,7,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,8,6,3,5,7,1,2]=>[2,1,7,5,3,6,8,4]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,8,1,2,5,3,7,6]=>[6,7,3,5,2,1,8,4]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,8,6,5,2,4,1,7]=>[7,1,4,2,5,6,8,3]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,8,5,6,1,4,7,2]=>[2,7,4,1,6,5,8,3]=>[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,7,8,2,1,6,4]=>[4,6,1,2,8,7,3,5]=>[4,6,1,2,7,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,6,7,8,5,1,4,2]=>[2,4,1,5,8,7,6,3]=>[2,4,1,5,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,7,6,8,5,2,1,4]=>[4,1,2,5,8,6,7,3]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,7,8,5,1,2,4,6]=>[6,4,2,1,5,8,7,3]=>[6,4,2,1,5,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,7,1,6,4,2,5,8]=>[8,5,2,4,6,1,7,3]=>[5,2,4,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,8,6,2,3,5,7]=>[7,5,3,2,6,8,1,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,7,8,6,3,5,1,2]=>[2,1,5,3,6,8,7,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,8,1,6,4,5,3,7]=>[7,3,5,4,6,1,8,2]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,8,7,5,1,4,3,6]=>[6,3,4,1,5,7,8,2]=>[6,3,4,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,8,6,7,5,1,3,4]=>[4,3,1,5,7,6,8,2]=>[4,3,1,5,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,7,8,6,5,4,1,3]=>[3,1,4,5,6,8,7,2]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[7,5,3,6,1,8,2,4]=>[4,2,8,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]=>[4,2,1,7,6,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,6,4,2,3,8,1,5]=>[5,1,8,3,2,4,6,7]=>[5,1,3,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]=>[5,2,4,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[7,4,8,5,2,6,1,3]=>[3,1,6,2,5,8,4,7]=>[3,1,6,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[4,1,7,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,8,5,3,7,1,2,4]=>[4,2,1,7,3,5,8,6]=>[4,2,1,7,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,7,4,8,1,3,6]=>[6,3,1,8,4,7,5,2]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,4,6,7,2,8,1,3]=>[3,1,8,2,7,6,4,5]=>[3,1,2,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,6,3,7,1,8,2,5]=>[5,2,8,1,7,3,6,4]=>[5,2,1,7,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,5,8,6,2,3]=>[3,2,6,8,5,1,7,4]=>[3,2,6,5,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,5,1,2,8,6,3,4]=>[4,3,6,8,2,1,5,7]=>[4,3,6,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,5,3,8,1,6,2,4]=>[4,2,6,1,8,3,5,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,7,2,8,1,6,3,4]=>[4,3,6,1,8,2,7,5]=>[4,3,6,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,3,8,7,1,2,5,6]=>[6,5,2,1,7,8,3,4]=>[6,5,2,1,7,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,8,4,7,5,1,2,3]=>[3,2,1,5,7,4,8,6]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]=>[4,6,2,1,3,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[8,7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[7,1,8,4,2,6,5,3]=>[3,5,6,2,4,8,1,7]=>[3,5,6,2,4,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,5,3,1,8,4,7,2]=>[2,7,4,8,1,3,5,6]=>[2,7,4,1,3,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,4,7,6,2,3,8,1]=>[1,8,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[5,6,2,3,1,8,4,7]=>[7,4,8,1,3,2,6,5]=>[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]=>[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,8,6,3,7,2,4,5]=>[5,4,2,7,3,6,8,1]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[4,8,1,5,7,2,3,6]=>[6,3,2,7,5,1,8,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,3,4,6,8,2,7]=>[7,2,8,6,4,3,5,1]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]=>[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,5,3,4,8,7,1,2]=>[2,1,7,8,4,3,5,6]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,3,8,1,7,2,4,5]=>[5,4,2,7,1,8,3,6]=>[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,7,8,2,4,6,1,5]=>[5,1,6,4,2,8,7,3]=>[5,1,6,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,3,8,2,5,1,4]=>[4,1,5,2,8,3,7,6]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,2,8,6,1,3,4,5]=>[5,4,3,1,6,8,2,7]=>[5,4,3,1,6,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,1,5,8,7,2,3,6]=>[6,3,2,7,8,5,1,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,4,8,7,6,1,2,3]=>[3,2,1,6,7,8,4,5]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]=>[4,2,1,5,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[8,1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1,8]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,8,3,2,6,5,1]=>[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[8,1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1,8]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,7]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]=>[1,7,5,2,3,4,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,4,1,3,2,5,8,6]=>[6,8,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,1,3,2,6,8,5]=>[5,8,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,5,1,3,6,2,8,4]=>[4,8,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]=>[3,2,6,4,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]=>[4,1,2,6,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]=>[5,1,6,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,4,8,3,2,5,1,6]=>[6,1,5,2,3,8,4,7]=>[6,1,5,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,3,2,8,6,1,7]=>[7,1,6,8,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,5,4,8,7,1,2,3]=>[3,2,1,7,8,4,5,6]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,5,4,1,7,8,2,3]=>[3,2,8,7,1,4,5,6]=>[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,4,3,1,2,7,8,5]=>[5,8,7,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]=>[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>[3,2,6,4,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,3,1,8,2,4,7]=>[7,4,2,8,1,3,5,6]=>[7,4,2,1,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,5,1,3,8,2,4,6]=>[6,4,2,8,3,1,5,7]=>[6,4,2,3,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]=>[5,4,2,3,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]=>[3,2,5,4,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,6,8,1,4,5,2,3]=>[3,2,5,4,1,8,6,7]=>[3,2,5,4,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,6,8,1,3,2,5,4]=>[4,5,2,3,1,8,6,7]=>[4,5,2,3,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,6]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,3,7,2,1,5,8]=>[8,5,1,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]=>[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,5,8,3,1,2,6,4]=>[4,6,2,1,3,8,5,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,8,4,1,6,2,3]=>[3,2,6,1,4,8,5,7]=>[3,2,6,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,4,8,1,7,2,3]=>[3,2,7,1,8,4,5,6]=>[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,3,8,1,2,7,4]=>[4,7,2,1,8,3,5,6]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,5,4,7,1,8,2,3]=>[3,2,8,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,5,3,7,8,2,1,4]=>[4,1,2,8,7,3,5,6]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,4,3,7,2,8,1,5]=>[5,1,8,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,4,3,2,6,8,1,7]=>[7,1,8,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]=>[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]=>[6,5,3,4,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[3,4,7,1,2,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,7,2,8,1,3,6,5]=>[5,6,3,1,8,2,7,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[7,3,8,6,1,2,5,4]=>[4,5,2,1,6,8,3,7]=>[4,5,2,1,6,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]=>[5,6,2,1,7,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,3,8,5,1,7,2]=>[2,7,1,5,8,3,6,4]=>[2,7,1,5,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,3,8,5,1,2,7]=>[7,2,1,5,8,3,6,4]=>[7,2,1,5,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,8,3,4,1,2,7]=>[7,2,1,4,3,8,6,5]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,8,3,4,1,7,2]=>[2,7,1,4,3,8,6,5]=>[2,7,1,4,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,6,7,2,4,3,1,8]=>[8,1,3,4,2,7,6,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,6,8,4,3,1,7,2]=>[2,7,1,3,4,8,6,5]=>[2,7,1,3,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,6,8,4,3,1,2,7]=>[7,2,1,3,4,8,6,5]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,7,8,4,1,6,3,2]=>[2,3,6,1,4,8,7,5]=>[2,3,6,1,4,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,7,8,4,1,3,6,2]=>[2,6,3,1,4,8,7,5]=>[2,6,3,1,4,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,6,8,4,2,1,7,3]=>[3,7,1,2,4,8,6,5]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,6,8,2,4,1,7,3]=>[3,7,1,4,2,8,6,5]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,8,5,1,7,3]=>[3,7,1,5,8,2,6,4]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,8,5,1,7,4]=>[4,7,1,5,8,6,2,3]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,8,5,1,4,7]=>[7,4,1,5,8,6,2,3]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,2,8,5,1,3,7]=>[7,3,1,5,8,2,6,4]=>[7,3,1,5,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,8,2,4,1,3,7]=>[7,3,1,4,2,8,6,5]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,8,4,2,1,3,7]=>[7,3,1,2,4,8,6,5]=>[7,3,1,2,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,7,8,4,1,3,2,6]=>[6,2,3,1,4,8,7,5]=>[6,2,3,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,7,8,4,1,2,6,3]=>[3,6,2,1,4,8,7,5]=>[3,6,2,1,4,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,8,4,1,2,3,6]=>[6,3,2,1,4,8,7,5]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]=>[3,4,2,5,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]=>[4,2,3,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,8,1,3,5,2,4]=>[4,2,5,3,1,8,7,6]=>[4,2,5,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]=>[4,3,6,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]=>[5,3,6,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,2,7,8,1,6,4,5]=>[5,4,6,1,8,7,2,3]=>[5,4,6,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,3]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,7,2,8,1,6,5,3]=>[3,5,6,1,8,2,7,4]=>[3,5,6,1,2,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]=>[3,4,6,1,2,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]=>[2,4,5,3,1,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]=>[2,4,3,5,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]=>[2,3,4,5,1,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,7,8,1,5,4,2,3]=>[3,2,4,5,1,8,7,6]=>[3,2,4,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]=>[3,2,5,4,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]=>[2,3,5,4,1,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,7,8,1,4,3,5,2]=>[2,5,3,4,1,8,7,6]=>[2,5,3,4,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,6]=>[2,5,4,3,1,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,8,2,1,4,6,3]=>[3,6,4,1,2,8,7,5]=>[3,6,4,1,2,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,7,2,8,1,5,6,3]=>[3,6,5,1,8,2,7,4]=>[3,6,5,1,2,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,7,8,1,5,6,4]=>[4,6,5,1,8,7,2,3]=>[4,6,5,1,7,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,6,8,4,1,7,5]=>[5,7,1,4,8,6,2,3]=>[5,7,1,4,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,2,8,3,1,7,5]=>[5,7,1,3,8,2,6,4]=>[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]=>[4,7,1,2,3,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,7,8,3,1,4,6,2]=>[2,6,4,1,3,8,7,5]=>[2,6,4,1,3,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,7,8,3,1,6,4,2]=>[2,4,6,1,3,8,7,5]=>[2,4,6,1,3,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>[5,2,6,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,7,3,8,1,6,5,2]=>[2,5,6,1,8,3,7,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,7,3,8,1,5,6,2]=>[2,6,5,1,8,3,7,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]=>[6,7,1,2,3,5,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,5,2,3,8,1,7,6]=>[6,7,1,8,3,2,5,4]=>[6,7,1,3,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,5,3,2,8,1,6,7]=>[7,6,1,8,2,3,5,4]=>[7,6,1,2,3,5,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,7,3,8,1,2,6,5]=>[5,6,2,1,8,3,7,4]=>[5,6,2,1,3,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,7,3,8,1,2,5,6]=>[6,5,2,1,8,3,7,4]=>[6,5,2,1,3,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,7,8,3,1,2,4,6]=>[6,4,2,1,3,8,7,5]=>[6,4,2,1,3,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]=>[4,6,2,1,3,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,8,3,1,4,2,6]=>[6,2,4,1,3,8,7,5]=>[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]=>[7,4,1,2,3,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,2,7,8,1,5,4,6]=>[6,4,5,1,8,7,2,3]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]=>[6,3,4,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,8,1,3,4,2,5]=>[5,2,4,3,1,8,7,6]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,8,1,4,2,5,3]=>[3,5,2,4,1,8,7,6]=>[3,5,2,4,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,8,1,4,2,3,5]=>[5,3,2,4,1,8,7,6]=>[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,8,1,2,5,3,4]=>[4,3,5,2,1,8,7,6]=>[4,3,5,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]=>[3,4,5,2,1,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,7,8,1,2,4,5,3]=>[3,5,4,2,1,8,7,6]=>[3,5,4,2,1,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]=>[4,5,2,3,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,8,2,1,3,6,4]=>[4,6,3,1,2,8,7,5]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,7,8,1,4,6,5]=>[5,6,4,1,8,7,2,3]=>[5,6,4,1,7,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,7,8,1,3,2,4,5]=>[5,4,2,3,1,8,7,6]=>[5,4,2,3,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,8,1,2,4,3,5]=>[5,3,4,2,1,8,7,6]=>[5,3,4,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,7,8,1,2,3,5,4]=>[4,5,3,2,1,8,7,6]=>[4,5,3,2,1,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,2,8,5,1,6,4,3]=>[3,4,6,1,5,8,2,7]=>[3,4,6,1,5,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[3,1,6,5,4,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[4,7,1,5,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,2,8,5,1,4,7]=>[7,4,1,5,8,2,3,6]=>[7,4,1,5,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,3,7,1,5,6,8,2]=>[2,8,6,5,1,7,3,4]=>[2,6,5,1,7,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,1,8,7,6,3,4]=>[4,3,6,7,8,1,2,5]=>[4,3,6,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,2,4,7,8,6,1,5]=>[5,1,6,8,7,4,2,3]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,6,2,7,3,8]=>[8,3,7,2,6,4,5,1]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]=>[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,1,6,3,8,4,2]=>[2,4,8,3,6,1,7,5]=>[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]=>[5,6,2,1,4,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,3,2,5,4,1,8]=>[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,7,3,2,5,4,8,1]=>[1,8,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,8,3,2,5,4,7,6]=>[6,7,4,5,2,3,8,1]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]=>[4,3,6,5,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]=>[3,4,5,6,1,2,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]=>[2,4,5,1,6,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,4,6,5,1,3,2,8]=>[8,2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,8,6,4,3,7,2,5]=>[5,2,7,3,4,6,8,1]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,5,7,4,3,1,8,2]=>[2,8,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,4,7,5,1,3,8,2]=>[2,8,3,1,5,7,4,6]=>[2,3,1,5,7,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,7,1,5,4,8,2]=>[2,8,4,5,1,7,3,6]=>[2,4,5,1,7,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,1,7,5,4,8,3]=>[3,8,4,5,7,1,2,6]=>[3,4,5,7,1,2,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,8,5,1,3,7,6]=>[6,7,3,1,5,8,4,2]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,8,4,3,1,7,6]=>[6,7,1,3,4,8,5,2]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,6,8,4,3,7,1,5]=>[5,1,7,3,4,8,6,2]=>[5,1,7,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>[1,5,6,3,4,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,8,7,4,3,6,5,2]=>[2,5,6,3,4,7,8,1]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,8,7,5,6,3,4,2]=>[2,4,3,6,5,7,8,1]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,6,8,5,7,3,1,4]=>[4,1,3,7,5,8,6,2]=>[4,1,3,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,5,8,6,7,1,3,4]=>[4,3,1,7,6,8,5,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,8,6,1,7,3,5]=>[5,3,7,1,6,8,4,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,1,8,6,7,4,5]=>[5,4,7,6,8,1,2,3]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,2,1,7,6,8,4,3]=>[3,4,8,6,7,1,2,5]=>[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,3,7,1,6,8,4,2]=>[2,4,8,6,1,7,3,5]=>[2,4,6,1,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,7,6,1,8,3,2]=>[2,3,8,1,6,7,4,5]=>[2,3,1,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]=>[2,3,1,6,7,5,4]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[4,6,7,5,8,3,1,2]=>[2,1,3,8,5,7,6,4]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[1,8,6,5,7,3,2,4]=>[4,2,3,7,5,6,8,1]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,7,5,6,8,2,3,1]=>[1,3,2,8,6,5,7,4]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]=>[3,1,2,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,3,6,1,7,8,2,4]=>[4,2,8,7,1,6,3,5]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,1,6,7,8,3,4]=>[4,3,8,7,6,1,2,5]=>[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,1,5,7,3,8,4]=>[4,8,3,7,5,1,2,6]=>[4,3,7,5,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,4,5,7,1,2,8,3]=>[3,8,2,1,7,5,4,6]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,5,4,7,2,1,8,3]=>[3,8,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,6,4,7,2,8,1,3]=>[3,1,8,2,7,4,6,5]=>[3,1,2,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[1,8,4,6,2,7,3,5]=>[5,3,7,2,6,4,8,1]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,7,3,2,6,8,4,1]=>[1,4,8,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,6,3,2,7,8,1,4]=>[4,1,8,7,2,3,6,5]=>[4,1,7,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,5,3,2,7,1,8,4]=>[4,8,1,7,2,3,5,6]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,4,3,2,1,7,8,5]=>[5,8,7,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,2,1,4,3,7,8,5]=>[5,8,7,3,4,1,2,6]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]=>[6,7,2,1,4,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,3,2,8,6,5,1]=>[1,5,6,8,2,3,7,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[1,8,3,2,7,6,5,4]=>[4,5,6,7,2,3,8,1]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,8,4,7,2,6,5,3]=>[3,5,6,2,7,4,8,1]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,4,8,2,6,5,1]=>[1,5,6,2,8,4,7,3]=>[1,5,6,2,4,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]=>[5,1,7,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,5,4,8,2,1,7,6]=>[6,7,1,2,8,4,5,3]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,5,8,1,2,7,6]=>[6,7,2,1,8,5,4,3]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,1,8,2,7,6]=>[6,7,2,8,1,5,3,4]=>[6,7,2,1,5,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,1,5,8,3,7,6]=>[6,7,3,8,5,1,2,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,1,6,8,7,3,5]=>[5,3,7,8,6,1,2,4]=>[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,3,6,1,8,7,2,5]=>[5,2,7,8,1,6,3,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,5,8,6,2,4,1]=>[1,4,2,6,8,5,7,3]=>[1,4,2,6,5,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[1,8,5,7,6,2,4,3]=>[3,4,2,6,7,5,8,1]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,8,6,7,5,4,2,3]=>[3,2,4,5,7,6,8,1]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,7,8,5,4,1,2]=>[2,1,4,5,8,7,6,3]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[3,5,7,8,6,1,4,2]=>[2,4,1,6,8,7,5,3]=>[2,4,1,6,7,5,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,4,7,8,1,6,5,2]=>[2,5,6,1,8,7,4,3]=>[2,5,6,1,7,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,2,1,7,8,6,5,3]=>[3,5,6,8,7,1,2,4]=>[3,5,6,7,1,2,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,3,8,1,7,6,5,4]=>[4,5,6,7,1,8,3,2]=>[4,5,6,7,1,3,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,4,8,7,1,6,5,3]=>[3,5,6,1,7,8,4,2]=>[3,5,6,1,7,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[2,5,8,7,6,1,4,3]=>[3,4,1,6,7,8,5,2]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,6,8,7,5,4,1,3]=>[3,1,4,5,7,8,6,2]=>[3,1,4,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,7,5,1,8,4,3,2]=>[2,3,4,8,1,5,7,6]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,8,4,1,6,7,5,3]=>[3,5,7,6,1,4,8,2]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,8,2,6,5,7,1,3]=>[3,1,7,5,6,2,8,4]=>[3,1,7,5,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,2,1,3,7,6,8,5]=>[5,8,6,7,3,1,2,4]=>[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[8,1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1,8]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,3,1,4,2,6,8,5]=>[5,8,6,2,4,1,3,7]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]=>[3,2,6,5,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>[4,1,2,6,5,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]=>[5,1,6,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,8,2,4,5,1,6]=>[6,1,5,4,2,8,7,3]=>[6,1,5,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,8,4,5,1,7]=>[7,1,5,4,8,2,6,3]=>[7,1,5,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[3,5,2,4,8,6,1,7]=>[7,1,6,8,4,2,5,3]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]=>[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>[1,5,7,3,4,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]=>[4,3,7,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]=>[7,4,3,1,2,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]=>[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,8,2,3,1,5,6]=>[6,5,1,3,2,8,7,4]=>[6,5,1,3,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]=>[6,1,7,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]=>[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,4,2,5,6,8,1,7]=>[7,1,8,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>[4,2,5,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,8,3,6,5,2,1,4]=>[4,1,2,5,6,3,8,7]=>[4,1,2,5,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,8,4,2,7,1,6,3]=>[3,6,1,7,2,4,8,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,8,4,1,7,2,6,3]=>[3,6,2,7,1,4,8,5]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>[3,2,6,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5,8]=>[4,6,2,1,7,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[8,5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5,8]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,1,8,7,6,3,5,4]=>[4,5,3,6,7,8,1,2]=>[4,5,3,6,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,6,2,1,8,7,3]=>[3,7,8,1,2,6,5,4]=>[3,7,1,2,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>[2,5,6,1,3,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]=>[3,5,7,1,4,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,3,1,5,8,6,2,4]=>[4,2,6,8,5,1,3,7]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]=>[7,4,6,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]=>[6,1,4,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]=>[1,4,3,7,6,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,8,5,7,3,4,1]=>[1,4,3,7,5,8,2,6]=>[1,4,3,7,5,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]=>[6,3,5,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,8,5,7,3,6,2]=>[2,6,3,7,5,8,1,4]=>[2,6,3,7,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[5,2,6,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]=>[1,5,3,7,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]=>[5,3,7,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,4,8,5,6,2,3,1]=>[1,3,2,6,5,8,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,8,5,6,2,4,1]=>[1,4,2,6,5,8,3,7]=>[1,4,2,6,5,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,8,4,6,2,5,1]=>[1,5,2,6,4,8,3,7]=>[1,5,2,6,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]=>[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]=>[3,7,2,6,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]=>[1,5,4,2,6,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]=>[2,4,3,1,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,8,1,3,6,2,5,4]=>[4,5,2,6,3,1,8,7]=>[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,3,8,4,7,2,5,6]=>[6,5,2,7,4,8,3,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]=>[3,7,5,2,1,6,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,4,8,2,5,7,3,6]=>[6,3,7,5,2,8,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>[3,1,6,5,4,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]=>[5,4,3,6,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,8,1,4,2,3,6,5]=>[5,6,3,2,4,1,8,7]=>[5,6,3,2,4,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,8,5,1,4,2,6,3]=>[3,6,2,4,1,5,8,7]=>[3,6,2,4,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,8,4,5,3,1,6,2]=>[2,6,1,3,5,4,8,7]=>[2,6,1,3,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>[5,1,7,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,4,8,5,3,1,6,7]=>[7,6,1,3,5,8,4,2]=>[7,6,1,3,5,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,5,8,1,4,7,6,3]=>[3,6,7,4,1,8,5,2]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,5,8,4,7,6,1,2]=>[2,1,6,7,4,8,5,3]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,6,2,4,7,3,8,5]=>[5,8,3,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,6,2,1,4,7,8,3]=>[3,8,7,4,1,2,6,5]=>[3,7,4,1,2,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,6,2,5,3,1,8,7]=>[7,8,1,3,5,2,6,4]=>[7,1,3,5,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,5,1,3,6,8,2]=>[2,8,6,3,1,5,7,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]=>[4,1,2,7,6,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,1,7,5,2,4,8,3]=>[3,8,4,2,5,7,1,6]=>[3,4,2,5,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>[7,5,4,2,1,3,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,4,7,2,5,3,8,6]=>[6,8,3,5,2,7,4,1]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]=>[7,5,2,4,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,7,5,8,2,4,3]=>[3,4,2,8,5,7,6,1]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]=>[2,4,1,7,6,5,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]=>[4,3,1,6,7,5,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,7,5,6,8,4,1,3]=>[3,1,4,8,6,5,7,2]=>[3,1,4,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>[6,4,3,5,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]=>[2,7,6,4,5,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>[6,2,5,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[5,6,2,1,7,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,7,3,8,5,2,6,4]=>[4,6,2,5,8,3,7,1]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]=>[7,5,2,6,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]=>[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]=>[2,4,3,1,6,7,5]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,6,5,8,1,3,4,2]=>[2,4,3,1,8,5,6,7]=>[2,4,3,1,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>[7,5,2,3,4,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]=>[5,6,2,4,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]=>[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]=>[3,6,7,1,5,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[2,6,3,4,5,8,1,7]=>[7,1,8,5,4,3,6,2]=>[7,1,5,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,3,6,4,8,5,1,2]=>[2,1,5,8,4,6,3,7]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,1,4,8,3,5,6]=>[6,5,3,8,4,1,2,7]=>[6,5,3,4,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,6,5,3,8,4,2]=>[2,4,8,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]=>[4,1,3,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]=>[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,1,5,2,8,3,4,7]=>[7,4,3,8,2,5,1,6]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]=>[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,5,6,4,1,2,8,3]=>[3,8,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]=>[6,1,3,4,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]=>[3,5,2,1,6,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>[6,3,5,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,8,1,4,2,5,7,3]=>[3,7,5,2,4,1,8,6]=>[3,7,5,2,4,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]=>[2,4,5,7,3,1,6]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]=>[2,4,6,5,3,1,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]=>[2,5,4,6,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>[3,1,5,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]=>[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,2,3,5,4,1,6,8]=>[8,6,1,4,5,3,2,7]=>[6,1,4,5,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[1,5,7,2,3,8,6,4]=>[4,6,8,3,2,7,5,1]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]=>[1,4,6,7,3,2,5]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,2,8,1,3,7,4,5]=>[5,4,7,3,1,8,2,6]=>[5,4,7,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,8,2,3,5,4,7,1]=>[1,7,4,5,3,2,8,6]=>[1,7,4,5,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,8,2,4,1,5,7,3]=>[3,7,5,1,4,2,8,6]=>[3,7,5,1,4,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,8,3,1,2,4,7,5]=>[5,7,4,2,1,3,8,6]=>[5,7,4,2,1,3,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,6,4,1,5,7,3,8]=>[8,3,7,5,1,4,6,2]=>[3,7,5,1,4,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]=>[4,1,7,5,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,5,1,7,8,3,6,4]=>[4,6,3,8,7,1,5,2]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]=>[1,7,4,6,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]=>[3,6,5,7,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,4,7,6,8,5,1,3]=>[3,1,5,8,6,7,4,2]=>[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,5,3,7,6,1,8,4]=>[4,8,1,6,7,3,5,2]=>[4,1,6,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]=>[2,6,1,4,7,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,3,4,1,8,6,7,2]=>[2,7,6,8,1,4,3,5]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,8,4,6,1,7,3]=>[3,7,1,6,4,8,2,5]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,8,6,5,3,7,1]=>[1,7,3,5,6,8,2,4]=>[1,7,3,5,6,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,8,6,7,5,3,2]=>[2,3,5,7,6,8,1,4]=>[2,3,5,7,6,1,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]=>[3,1,2,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[2,4,6,1,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,1,3,8,6,7,2,4]=>[4,2,7,6,8,3,1,5]=>[4,2,7,6,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,7,6,4,2,8,3]=>[3,8,2,4,6,7,5,1]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]=>[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]=>[5,3,7,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]=>[3,6,7,2,1,5,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,5,1,2,6,8,7,3]=>[3,7,8,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]=>[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]=>[4,6,2,1,7,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]=>[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]=>[2,6,7,1,3,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]=>[2,6,5,7,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[3,4,6,5,8,7,1,2]=>[2,1,7,8,5,6,4,3]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>[1,7,2,5,6,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]=>[1,7,4,2,6,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,2,5,6,1,8,7,3]=>[3,7,8,1,6,5,2,4]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,3,1,6,8,7,2]=>[2,7,8,6,1,3,5,4]=>[2,7,6,1,3,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,2,6,8,5,4,7]=>[7,4,5,8,6,2,1,3]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[6,3,7,4,5,1,8,2]=>[2,8,1,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,7,5,8,1,4]=>[4,1,8,5,7,3,6,2]=>[4,1,5,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,4,6,2,8,1,3]=>[3,1,8,2,6,4,7,5]=>[3,1,2,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,4,8,1,7,3,5,6]=>[6,5,3,7,1,8,4,2]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,4,7,3,1,6,2]=>[2,6,1,3,7,4,8,5]=>[2,6,1,3,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,8,2,7,1,5,4]=>[4,5,1,7,2,8,3,6]=>[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,8,5,3,1,7,4,2]=>[2,4,7,1,3,5,8,6]=>[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,2,7,8,5,1,4]=>[4,1,5,8,7,2,3,6]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]=>[6,2,1,4,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,8,7,3,4,1,2,5]=>[5,2,1,4,3,7,8,6]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,8,4,7,1,5,3,2]=>[2,3,5,1,7,4,8,6]=>[2,3,5,1,7,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,5]=>[2,3,6,1,7,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,8,7,6,1,2,4]=>[4,2,1,6,7,8,3,5]=>[4,2,1,6,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,3,8,7,6,1,2,5]=>[5,2,1,6,7,8,3,4]=>[5,2,1,6,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,8,3,7,5,1,2,6]=>[6,2,1,5,7,3,8,4]=>[6,2,1,5,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]=>[7,2,1,5,6,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,8,4,7,5,1,2,6]=>[6,2,1,5,7,4,8,3]=>[6,2,1,5,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,8,7,6,1,2,5]=>[5,2,1,6,7,8,4,3]=>[5,2,1,6,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,5,8,7,6,1,2,4]=>[4,2,1,6,7,8,5,3]=>[4,2,1,6,7,5,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,5,8,7,1,6,3,2]=>[2,3,6,1,7,8,5,4]=>[2,3,6,1,7,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,5,8,7,2,6,3,1]=>[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,8,2,7,6,4,1]=>[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,5,8,1,7,6,4,2]=>[2,4,6,7,1,8,5,3]=>[2,4,6,7,1,5,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,8,1,7,6,4,3]=>[3,4,6,7,1,8,5,2]=>[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,8,7,1,6,3,4]=>[4,3,6,1,7,8,5,2]=>[4,3,6,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,8,7,1,6,3,5]=>[5,3,6,1,7,8,4,2]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,8,4,7,1,5,3,6]=>[6,3,5,1,7,4,8,2]=>[6,3,5,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2,8]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1,8]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,8,4,7,2,5,3,6]=>[6,3,5,2,7,4,8,1]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,8,7,2,6,3,5]=>[5,3,6,2,7,8,4,1]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,8,2,7,6,4,3]=>[3,4,6,7,2,8,5,1]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,5,8,3,7,6,4,1]=>[1,4,6,7,3,8,5,2]=>[1,4,6,7,3,5,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,8,3,2,7,5,4,6]=>[6,4,5,7,2,3,8,1]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[8,1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1,8]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[8,2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2,8]=>[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,8,3,1,7,5,4,6]=>[6,4,5,7,1,3,8,2]=>[6,4,5,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,3,8,1,7,6,4,5]=>[5,4,6,7,1,8,3,2]=>[5,4,6,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,4,1,8,7,6,5,2]=>[2,5,6,7,8,1,4,3]=>[2,5,6,7,1,4,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,1,8,7,6,5,2]=>[2,5,6,7,8,1,3,4]=>[2,5,6,7,1,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]=>[3,5,6,7,1,2,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,8,2,1,7,5,4,6]=>[6,4,5,7,1,2,8,3]=>[6,4,5,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[8,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,8]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[8,4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4,8]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,2,8,7,1,6,3,5]=>[5,3,6,1,7,8,2,4]=>[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,8,7,1,6,3,4]=>[4,3,6,1,7,8,2,5]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,8,1,7,6,4,3]=>[3,4,6,7,1,8,2,5]=>[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,3,8,1,7,6,4,2]=>[2,4,6,7,1,8,3,5]=>[2,4,6,7,1,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,3,8,2,7,6,4,1]=>[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,8,3,2,7,5,4,1]=>[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,8,3,1,7,5,4,2]=>[2,4,5,7,1,3,8,6]=>[2,4,5,7,1,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,8,2,1,7,5,4,3]=>[3,4,5,7,1,2,8,6]=>[3,4,5,7,1,2,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]=>[4,3,5,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,7,2,1,4,3,5]=>[5,3,4,1,2,7,8,6]=>[5,3,4,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5,8]=>[7,3,4,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,8,7,1,2,4,3,6]=>[6,3,4,2,1,7,8,5]=>[6,3,4,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,8,1,2,7,5,4,3]=>[3,4,5,7,2,1,8,6]=>[3,4,5,7,2,1,6]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[6,8,2,3,7,5,4,1]=>[1,4,5,7,3,2,8,6]=>[1,4,5,7,3,2,6]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,8,3,7,6,4,1]=>[1,4,6,7,3,8,2,5]=>[1,4,6,7,3,2,5]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,1,8,3,7,6,4,2]=>[2,4,6,7,3,8,1,5]=>[2,4,6,7,3,1,5]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[5,1,8,7,2,6,3,4]=>[4,3,6,2,7,8,1,5]=>[4,3,6,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,8,7,2,6,3,5]=>[5,3,6,2,7,8,1,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,8,1,7,2,5,3,6]=>[6,3,5,2,7,1,8,4]=>[6,3,5,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4,8]=>[7,3,5,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3,8]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,8,1,2,7,5,4,6]=>[6,4,5,7,2,1,8,3]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,1,8,2,7,6,4,5]=>[5,4,6,7,2,8,1,3]=>[5,4,6,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>[4,5,6,7,2,1,3]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,1,3,8,7,6,5,2]=>[2,5,6,7,8,3,1,4]=>[2,5,6,7,3,1,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]=>[2,5,6,7,4,1,3]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[2,1,8,3,7,6,4,5]=>[5,4,6,7,3,8,1,2]=>[5,4,6,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,8,1,3,7,5,4,6]=>[6,4,5,7,3,1,8,2]=>[6,4,5,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[8,2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2,8]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[8,1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1,8]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,8,2,3,7,5,4,6]=>[6,4,5,7,3,2,8,1]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[3,1,6,2,5,8,4,7]=>[7,4,8,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,8,2,4,7,6]=>[6,7,4,2,8,1,5,3]=>[6,7,4,2,1,5,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[1,4,2,6,5,8,3,7]=>[7,3,8,5,6,2,4,1]=>[7,3,5,6,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,5,2,6,4,8,3,7]=>[7,3,8,4,6,2,5,1]=>[7,3,4,6,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]=>[6,4,2,5,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[1,6,4,2,8,7,3,5]=>[5,3,7,8,2,4,6,1]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,7,2,8,5,3,6,4]=>[4,6,3,5,8,2,7,1]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]=>[3,1,4,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,3,4,1,8,6,5,7]=>[7,5,6,8,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7,8]=>[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,4,1,8,5,7,3]=>[3,7,5,8,1,4,6,2]=>[3,7,5,1,4,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,8,1,6,3,4,2,5]=>[5,2,4,3,6,1,8,7]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]=>[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,6,8,1,4,3,5,2]=>[2,5,3,4,1,8,6,7]=>[2,5,3,4,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,8,3,1,4,6,2]=>[2,6,4,1,3,8,5,7]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]=>[5,6,2,1,3,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[8,6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6,8]=>[4,7,3,5,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]=>[7,6,5,2,3,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]=>[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[4,2,1,5,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,4,5,1,8,3,2]=>[2,3,8,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,7,6,8,1,2,3]=>[3,2,1,8,6,7,4,5]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,3,7,8,6,1,2,4]=>[4,2,1,6,8,7,3,5]=>[4,2,1,6,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,8,4,5,7,1,2,6]=>[6,2,1,7,5,4,8,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,8,6,7,1,2,5]=>[5,2,1,7,6,8,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,6,7,1,8,3,2]=>[2,3,8,1,7,6,5,4]=>[2,3,1,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,5,6,2,7,4,8,1]=>[1,8,4,7,2,6,5,3]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]=>[2,4,7,1,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[2,5,6,1,8,7,4,3]=>[3,4,7,8,1,6,5,2]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2,8]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,4,8,6,2,3,7,5]=>[5,7,3,2,6,8,4,1]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[1,5,6,2,8,4,7,3]=>[3,7,4,8,2,6,5,1]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,5,6,3,4,7,8,1]=>[1,8,7,4,3,6,5,2]=>[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[1,4,2,6,8,5,7,3]=>[3,7,5,8,6,2,4,1]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[8,2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2,8]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,8,3,1,5,7,4,6]=>[6,4,7,5,1,3,8,2]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,4,1,6,7,8,5,2]=>[2,5,8,7,6,1,4,3]=>[2,5,7,6,1,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,3,1,7,6,8,5,2]=>[2,5,8,6,7,1,3,4]=>[2,5,6,7,1,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,7,2,6,4,8,1]=>[1,8,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,7,3,1,5,8,4,2]=>[2,4,8,5,1,3,7,6]=>[2,4,5,1,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,2,1,8,5,4,3]=>[3,4,5,8,1,2,7,6]=>[3,4,5,1,2,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,2,8,1,5,3,4]=>[4,3,5,1,8,2,7,6]=>[4,3,5,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,8,2,1,4,3,5]=>[5,3,4,1,2,8,7,6]=>[5,3,4,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,1,2,8,4,5,3]=>[3,5,4,8,2,1,7,6]=>[3,5,4,2,1,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,7,1,3,4,8,5,2]=>[2,5,8,4,3,1,7,6]=>[2,5,4,3,1,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,2,7,3,4,6,8,1]=>[1,8,6,4,3,7,2,5]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,7,3,4,8,6,2]=>[2,6,8,4,3,7,1,5]=>[2,6,4,3,7,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,7,8,2,3,6,4]=>[4,6,3,2,8,7,1,5]=>[4,6,3,2,7,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,8,7,2,3,6,5]=>[5,6,3,2,7,8,1,4]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,8,1,2,7,4,5,6]=>[6,5,4,7,2,1,8,3]=>[6,5,4,7,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,1,3,7,5,8,6,2]=>[2,6,8,5,7,3,1,4]=>[2,6,5,7,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[3,1,4,5,7,8,6,2]=>[2,6,8,7,5,4,1,3]=>[2,6,7,5,4,1,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[8,2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2,8]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[1,2,8,3,4,6,7,5]=>[5,7,6,4,3,8,2,1]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[5,2,6,4,1,8,7,3]=>[3,7,8,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,1,6,4,2,8,7,3]=>[3,7,8,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]=>[4,6,2,3,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,6]=>[4,5,2,3,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,2,1,8,3,6,4]=>[4,6,3,8,1,2,7,5]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,2,7,1,8,4,6,3]=>[3,6,4,8,1,7,2,5]=>[3,6,4,1,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,7,8,5,4,1,3]=>[3,1,4,5,8,7,2,6]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,1,8,2,5,3,4]=>[4,3,5,2,8,1,7,6]=>[4,3,5,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,5,2,8,4,7,3,1]=>[1,3,7,4,8,2,5,6]=>[1,3,7,4,2,5,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,3,4,5,8,7,2,1]=>[1,2,7,8,5,4,3,6]=>[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,8,5,6,7,2,1]=>[1,2,7,6,5,8,3,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,6,4,2,8,7,5,1]=>[1,5,7,8,2,4,6,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]=>[5,6,2,7,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]=>[6,3,1,7,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,4,3,1,6,8,2,7]=>[7,2,8,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]=>[1,3,7,2,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,4,8,1,7,2,6,3]=>[3,6,2,7,1,8,4,5]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,3,8,2,6,4,1]=>[1,4,6,2,8,3,7,5]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,2,8,6,4,3,5,1]=>[1,5,3,4,6,8,2,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,8,7,4,2,3]=>[3,2,4,7,8,6,1,5]=>[3,2,4,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,3]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]=>[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]=>[2,1,6,3,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]=>[2,1,6,5,3,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,8,5,6,2,3]=>[3,2,6,5,8,1,7,4]=>[3,2,6,5,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]=>[3,1,6,4,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]=>[3,1,5,4,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]=>[3,2,5,4,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>[3,2,5,4,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>[3,2,6,4,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,8,5,6,2,7,3,4]=>[4,3,7,2,6,5,8,1]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>[5,2,6,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>[4,2,6,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]=>[4,2,5,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]=>[4,1,5,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>[4,1,5,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]=>[4,1,6,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]=>[5,1,6,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]=>[3,1,6,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>[4,1,6,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]=>[4,1,5,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]=>[3,1,5,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]=>[3,1,4,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]=>[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,1,8,6,7,3,4]=>[4,3,7,6,8,1,5,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]=>[5,2,6,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,1,6,2,8,4,5]=>[5,4,8,2,6,1,7,3]=>[5,4,2,6,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]=>[4,3,6,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]=>[4,3,6,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[6,7,4,8,3,5,1,2]=>[2,1,5,3,8,4,7,6]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,4,8,3,6,1,2]=>[2,1,6,3,8,4,7,5]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,8,4,5,3,7,1,2]=>[2,1,7,3,5,4,8,6]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,4,6,3,7,1,2]=>[2,1,7,3,6,4,8,5]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,4,8,2,7,1,3]=>[3,1,7,2,8,4,6,5]=>[3,1,7,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]=>[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]=>[3,1,7,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,4,5,2,6,1,3]=>[3,1,6,2,5,4,8,7]=>[3,1,6,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,4,5,2,3,1,7]=>[7,1,3,2,5,4,8,6]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5]=>[7,1,3,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,8,3,6,2,5,1,7]=>[7,1,5,2,6,3,8,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]=>[7,1,4,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]=>[6,1,4,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]=>[4,1,6,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,3,6,2,7,1,4]=>[4,1,7,2,6,3,8,5]=>[4,1,7,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,8,3,6,2,7,1,5]=>[5,1,7,2,6,3,8,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,7,3,8,2,6,1,5]=>[5,1,6,2,8,3,7,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,4,8,2,6,1,3]=>[3,1,6,2,8,4,7,5]=>[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]=>[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,7,3,5,2,8,1,4]=>[4,1,8,2,5,3,7,6]=>[4,1,2,5,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]=>[3,1,5,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,5,8,2,4,1,3]=>[3,1,4,2,8,5,7,6]=>[3,1,4,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,8,5,7,2,3,1,4]=>[4,1,3,2,7,5,8,6]=>[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,4,8,2,3,1,5]=>[5,1,3,2,8,4,7,6]=>[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]=>[5,1,4,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,4,8,2,3,1,6]=>[6,1,3,2,8,4,7,5]=>[6,1,3,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5]=>[6,1,3,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,4,7,2,3,1,5]=>[5,1,3,2,7,4,8,6]=>[5,1,3,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,4,6,2,3,1,5]=>[5,1,3,2,6,4,8,7]=>[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,3,6,2,4,1,5]=>[5,1,4,2,6,3,8,7]=>[5,1,4,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,8,3,7,2,4,1,6]=>[6,1,4,2,7,3,8,5]=>[6,1,4,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,8,3,7,2,5,1,6]=>[6,1,5,2,7,3,8,4]=>[6,1,5,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]=>[6,1,5,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,8,6,2,3,1,4]=>[4,1,3,2,6,8,7,5]=>[4,1,3,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[3,7,1,8,6,4,5,2]=>[2,5,4,6,8,1,7,3]=>[2,5,4,6,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,7,4,2,8,1,5,3]=>[3,5,1,8,2,4,7,6]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[3,1,5,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,8,6,7,3,1,2,4]=>[4,2,1,3,7,6,8,5]=>[4,2,1,3,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,7,5,8,1,3,4,2]=>[2,4,3,1,8,5,7,6]=>[2,4,3,1,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,6,8,1,4,2,3]=>[3,2,4,1,8,6,5,7]=>[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,8,7,4,6,1,3]=>[3,1,6,4,7,8,2,5]=>[3,1,6,4,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,3,2,7,5,1,8,4]=>[4,8,1,5,7,2,3,6]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]=>[6,5,7,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,1,8,3,2,4,6,7]=>[7,6,4,2,3,8,1,5]=>[7,6,4,2,3,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,5,4,2,6,8,1,3]=>[3,1,8,6,2,4,5,7]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2,8]=>[6,5,3,1,4,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,3,4,1,7,8,5]=>[5,8,7,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[4,7,8,5,6,2,1,3]=>[3,1,2,6,5,8,7,4]=>[3,1,2,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]=>[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,8,4,2,5,1,3]=>[3,1,5,2,4,8,7,6]=>[3,1,5,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]=>[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]=>[4,5,1,2,3,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,7,8,3,2,1,5,4]=>[4,5,1,2,3,8,7,6]=>[4,5,1,2,3,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,7,8,3,2,1,6,4]=>[4,6,1,2,3,8,7,5]=>[4,6,1,2,3,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,7,8,4,3,5,6,1]=>[1,6,5,3,4,8,7,2]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[3,7,8,4,2,5,1,6]=>[6,1,5,2,4,8,7,3]=>[6,1,5,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]=>[6,5,1,2,3,7,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,7,8,3,2,1,4,6]=>[6,4,1,2,3,8,7,5]=>[6,4,1,2,3,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,6,3,8,2,1,4,5]=>[5,4,1,2,8,3,6,7]=>[5,4,1,2,3,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,3,8,2,1,4,7]=>[7,4,1,2,8,3,6,5]=>[7,4,1,2,3,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]=>[7,1,5,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[3,6,4,7,2,5,1,8]=>[8,1,5,2,7,4,6,3]=>[1,5,2,7,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,3,7,2,1,5,8]=>[8,5,1,2,7,3,6,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]=>[4,1,2,7,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]=>[6,1,7,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,4,2,8,6,1,7]=>[7,1,6,8,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,6,3,8,2,1,7,4]=>[4,7,1,2,8,3,6,5]=>[4,7,1,2,3,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[7,5,3,2,8,1,6,4]=>[4,6,1,8,2,3,5,7]=>[4,6,1,2,3,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[8,5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5,8]=>[3,1,6,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,4,2,8,6,1,3]=>[3,1,6,8,2,4,5,7]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,5,4,2,8,7,1,3]=>[3,1,7,8,2,4,5,6]=>[3,1,7,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,6,5,8,7,2,1,3]=>[3,1,2,7,8,5,6,4]=>[3,1,2,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,5,4,2,7,8,1,3]=>[3,1,8,7,2,4,5,6]=>[3,1,7,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5,8]=>[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,2,6,1,8,4]=>[4,8,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,6,3,7,2,1,8,4]=>[4,8,1,2,7,3,6,5]=>[4,1,2,7,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,6,4,7,2,8,1,5]=>[5,1,8,2,7,4,6,3]=>[5,1,2,7,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,5,3,2,7,1,8,6]=>[6,8,1,7,2,3,5,4]=>[6,1,7,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,4,3,2,1,6,8,5]=>[5,8,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,5,4,2,6,8,1,7]=>[7,1,8,6,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,3,8,5,2,1,6,7]=>[7,6,1,2,5,8,3,4]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]=>[6,1,2,5,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]=>[6,1,5,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]=>[5,3,7,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,5,3,1,4,7,2,8]=>[8,2,7,4,1,3,5,6]=>[2,7,4,1,3,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,4,1,5,8,3,7,6]=>[6,7,3,8,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,1,5,3,8,7,6]=>[6,7,8,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,5,1,2,8,7,6]=>[6,7,8,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,6,8,2,7,1,5]=>[5,1,7,2,8,6,4,3]=>[5,1,7,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[2,3,1,8,6,7,4,5]=>[5,4,7,6,8,1,3,2]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,8,3,2,6,7,5,4]=>[4,5,7,6,2,3,8,1]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,6,8,7,1,4,2]=>[2,4,1,7,8,6,5,3]=>[2,4,1,7,6,5,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]=>[2,3,1,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]=>[4,2,3,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,1,5,8,3,2,4,7]=>[7,4,2,3,8,5,1,6]=>[7,4,2,3,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,3,2,4,6,1,5,8]=>[8,5,1,6,4,2,3,7]=>[5,1,6,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,6,5,1,8,4,2]=>[2,4,8,1,5,6,7,3]=>[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,2,4,1,6,8,5,7]=>[7,5,8,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4,8]=>[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,6,1,8,4,7,3]=>[3,7,4,8,1,6,2,5]=>[3,7,4,1,6,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,4,2,3,8,5,1,6]=>[6,1,5,8,3,2,4,7]=>[6,1,5,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,5,1,6,4,2,3,8]=>[8,3,2,4,6,1,5,7]=>[3,2,4,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,2,4,1,8,6,5,7]=>[7,5,6,8,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,3]=>[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,6,1,7,5,3,8]=>[8,3,5,7,1,6,2,4]=>[3,5,7,1,6,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,5,4,6,8,1,7,3]=>[3,7,1,8,6,4,5,2]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[3,7,6,1,4,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[7,3,5,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,8,2,5,1,6,7,4]=>[4,7,6,1,5,2,8,3]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,2,1,8,5,3,7,4]=>[4,7,3,5,8,1,2,6]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,8,4,2,1,7,3,6]=>[6,3,7,1,2,4,8,5]=>[6,3,7,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,1,5,2,4,3,8,7]=>[7,8,3,4,2,5,1,6]=>[7,3,4,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]=>[2,3,1,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]=>[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]=>[2,5,4,6,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]=>[5,6,4,7,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]=>[2,3,1,6,4,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,8,3,6,1,7,5]=>[5,7,1,6,3,8,4,2]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,5,8,7,3,1,2,4]=>[4,2,1,3,7,8,5,6]=>[4,2,1,3,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,8,2,4,6,3]=>[3,6,4,2,8,7,5,1]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]=>[7,6,5,1,2,4,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,7,5,8,1,4,6,2]=>[2,6,4,1,8,5,7,3]=>[2,6,4,1,5,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,4,8,2,5,3,1,7]=>[7,1,3,5,2,8,4,6]=>[7,1,3,5,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,8,1,5,4,7,3,6]=>[6,3,7,4,5,1,8,2]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,1,2,8,7,3,5]=>[5,3,7,8,2,1,4,6]=>[5,3,7,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,6,4,8,1,7,2,5]=>[5,2,7,1,8,4,6,3]=>[5,2,7,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,1,2,8,3,7,5]=>[5,7,3,8,2,1,4,6]=>[5,7,3,2,1,4,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,7,4,8,1,6,2,5]=>[5,2,6,1,8,4,7,3]=>[5,2,6,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[7,8,3,4,1,5,2,6]=>[6,2,5,1,4,3,8,7]=>[6,2,5,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,3,4,1,6,2,5]=>[5,2,6,1,4,3,8,7]=>[5,2,6,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,3,4,1,7,2,5]=>[5,2,7,1,4,3,8,6]=>[5,2,7,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,3,4,1,8,2,5]=>[5,2,8,1,4,3,7,6]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[6,2,1,4,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,8,3,4,1,7,2,6]=>[6,2,7,1,4,3,8,5]=>[6,2,7,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,8,3,4,1,6,2,7]=>[7,2,6,1,4,3,8,5]=>[7,2,6,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,3,4,1,5,2,7]=>[7,2,5,1,4,3,8,6]=>[7,2,5,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,3,4,1,5,2,8]=>[8,2,5,1,4,3,7,6]=>[2,5,1,4,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,8,3,4,1,7]=>[7,1,4,3,8,2,6,5]=>[7,1,4,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,6,2,7,3,4,1,8]=>[8,1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,8,3,5,1,7]=>[7,1,5,3,8,2,6,4]=>[7,1,5,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,3,5,1,6,2,8]=>[8,2,6,1,5,3,7,4]=>[2,6,1,5,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,8,3,5,1,6,2,7]=>[7,2,6,1,5,3,8,4]=>[7,2,6,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,8,3,5,1,7,2,6]=>[6,2,7,1,5,3,8,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,7,3,5,1,8,2,6]=>[6,2,8,1,5,3,7,4]=>[6,2,1,5,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]=>[4,7,1,3,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,5,1,7,3,8]=>[8,3,7,1,5,2,6,4]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,5,1,8,3,7]=>[7,3,8,1,5,2,6,4]=>[7,3,1,5,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]=>[6,2,7,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]=>[5,1,3,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]=>[3,1,4,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,3,8,4,7,1,2]=>[2,1,7,4,8,3,6,5]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]=>[3,1,7,4,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,6,2,8,3,7,1,4]=>[4,1,7,3,8,2,6,5]=>[4,1,7,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,2,8,3,7,1,5]=>[5,1,7,3,8,2,6,4]=>[5,1,7,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,5,1,8,3,6,2,7]=>[7,2,6,3,8,1,5,4]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[4,3,8,1,5,6,7,2]=>[2,7,6,5,1,8,3,4]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,8,3,6,1,4,7,2]=>[2,7,4,1,6,3,8,5]=>[2,7,4,1,6,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,5,7,3,6,8,4,2]=>[2,4,8,6,3,7,5,1]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[5,8,7,3,6,1,4,2]=>[2,4,1,6,3,7,8,5]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,8,7,6,1,5,2]=>[2,5,1,6,7,8,3,4]=>[2,5,1,6,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,8,7,1,6,5,3]=>[3,5,6,1,7,8,2,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,7,1,8,4,5,2,3]=>[3,2,5,4,8,1,7,6]=>[3,2,5,4,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,7,1,5,8,2,6,4]=>[4,6,2,8,5,1,7,3]=>[4,6,2,5,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,5,1,8,3,7,4]=>[4,7,3,8,1,5,6,2]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,6,5,1,8,2,7,4]=>[4,7,2,8,1,5,6,3]=>[4,7,2,1,5,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,6,5,1,8,7,2,3]=>[3,2,7,8,1,5,6,4]=>[3,2,7,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,6,4,1,8,7,2,3]=>[3,2,7,8,1,4,6,5]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[6,4,5,1,8,7,2,3]=>[3,2,7,8,1,5,4,6]=>[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,4,6,1,8,7,2,3]=>[3,2,7,8,1,6,4,5]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,6,1,8,7,2,3]=>[3,2,7,8,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,6,1,8,2,7,4]=>[4,7,2,8,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,6,1,8,3,7,4]=>[4,7,3,8,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,4,6,1,3,8,7,5]=>[5,7,8,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,6,1,2,8,7,5]=>[5,7,8,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,1,2,8,7,5]=>[5,7,8,2,1,6,3,4]=>[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,3,6,1,8,2,7,4]=>[4,7,2,8,1,6,3,5]=>[4,7,2,1,6,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,3,1,5,8,2,6,4]=>[4,6,2,8,5,1,3,7]=>[4,6,2,5,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1,8]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[8,1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1,8]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,2,1,5,8,3,6,4]=>[4,6,3,8,5,1,2,7]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,2,5,1,8,3,7,4]=>[4,7,3,8,1,5,2,6]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,6,1,3,8,7,5]=>[5,7,8,3,1,6,2,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,3,6,1,4,8,7,5]=>[5,7,8,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,5,3,1,8,7,6]=>[6,7,8,1,3,5,2,4]=>[6,7,1,3,5,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,4,1,3,8,7,5]=>[5,7,8,3,1,4,2,6]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,1,4,3,8,6,5]=>[5,6,8,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[8,1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1,8]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,3,1,4,2,8,6,5]=>[5,6,8,2,4,1,3,7]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,3,4,1,2,8,7,5]=>[5,7,8,2,1,4,3,6]=>[5,7,2,1,4,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,6,3,1,2,8,7,5]=>[5,7,8,2,1,3,6,4]=>[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,6,4,1,2,8,7,5]=>[5,7,8,2,1,4,6,3]=>[5,7,2,1,4,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,6,4,1,3,8,7,5]=>[5,7,8,3,1,4,6,2]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,7,1,4,3,8,6,5]=>[5,6,8,3,4,1,7,2]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,4,2,8,6,5]=>[5,6,8,2,4,1,7,3]=>[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,1,3,2,8,6,5]=>[5,6,8,2,3,1,7,4]=>[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1,8]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,7,1,2,3,8,6,5]=>[5,6,8,3,2,1,7,4]=>[5,6,3,2,1,7,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,7,1,2,4,8,6,5]=>[5,6,8,4,2,1,7,3]=>[5,6,4,2,1,7,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,7,1,3,4,8,6,5]=>[5,6,8,4,3,1,7,2]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,3,1,4,8,7,5]=>[5,7,8,4,1,3,6,2]=>[5,7,4,1,3,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,6,2,1,4,8,7,5]=>[5,7,8,4,1,2,6,3]=>[5,7,4,1,2,6,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,6,2,1,8,3,7,4]=>[4,7,3,8,1,2,6,5]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,5,2,1,8,3,7,4]=>[4,7,3,8,1,2,5,6]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[8,1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1,8]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,4,1,2,3,8,6,5]=>[5,6,8,3,2,1,4,7]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,4,2,1,3,8,7,5]=>[5,7,8,3,1,2,4,6]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,4,2,3,1,8,7,6]=>[6,7,8,1,3,2,4,5]=>[6,7,1,3,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,5,2,4,1,8,7,6]=>[6,7,8,1,4,2,5,3]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,3,2,1,4,8,7,5]=>[5,7,8,4,1,2,3,6]=>[5,7,4,1,2,3,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,3,1,2,4,8,6,5]=>[5,6,8,4,2,1,3,7]=>[5,6,4,2,1,3,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,2,1,3,4,8,6,5]=>[5,6,8,4,3,1,2,7]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,2,3,1,4,8,7,5]=>[5,7,8,4,1,3,2,6]=>[5,7,4,1,3,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,4,6,3,5,8,1,7]=>[7,1,8,5,3,6,4,2]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,2,6,5,8,1,7,3]=>[3,7,1,8,5,6,2,4]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,5,8,3,7,1]=>[1,7,3,8,5,6,2,4]=>[1,7,3,5,6,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,6,8,1,5,7,3]=>[3,7,5,1,8,6,4,2]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,6,8,1,5,3,7]=>[7,3,5,1,8,6,4,2]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,6,8,5,1,3,7]=>[7,3,1,5,8,6,2,4]=>[7,3,1,5,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,1,8,3,7,5]=>[5,7,3,8,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,4,2,1,5,8,3,7]=>[7,3,8,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,3,4,1,8,6,7]=>[7,6,8,1,4,3,5,2]=>[7,6,1,4,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,2,8,6,1,7,3,5]=>[5,3,7,1,6,8,2,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,2,7,8,1,3,6,5]=>[5,6,3,1,8,7,2,4]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,6,8,1,3,7,5]=>[5,7,3,1,8,6,2,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,7,3,8,5,1,2,6]=>[6,2,1,5,8,3,7,4]=>[6,2,1,5,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,8,3,5,4,7,1,2]=>[2,1,7,4,5,3,8,6]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,4,8,7,3]=>[3,7,8,4,5,2,6,1]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,2,1,5,4,8,7,3]=>[3,7,8,4,5,1,2,6]=>[3,7,4,5,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,3,6,1,8,2,7,5]=>[5,7,2,8,1,6,3,4]=>[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,3,8,5,4,1,6,7]=>[7,6,1,4,5,8,3,2]=>[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,6,1,5,8,2,7]=>[7,2,8,5,1,6,4,3]=>[7,2,5,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,6,4,7,8,2,5]=>[5,2,8,7,4,6,1,3]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,8,7,1,4,3,2,6]=>[6,2,3,4,1,7,8,5]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[7,8,4,6,1,3,2,5]=>[5,2,3,1,6,4,8,7]=>[5,2,3,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]
[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,2,5,4,7,8,3]=>[3,8,7,4,5,2,1,6]=>[3,7,4,5,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,3,6,4,1,7,2,8]=>[8,2,7,1,4,6,3,5]=>[2,7,1,4,6,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,1,5,8,3,7,4]=>[4,7,3,8,5,1,2,6]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[3,2,6,1,7,4,5,8]=>[8,5,4,7,1,6,2,3]=>[5,4,7,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,4,1,3,7,8,6]=>[6,8,7,3,1,4,5,2]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,3,2,8,6,1,4,5]=>[5,4,1,6,8,2,3,7]=>[5,4,1,6,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,1,6,2,8,3,4]=>[4,3,8,2,6,1,7,5]=>[4,3,2,6,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,7,6,5,1,8,3,4]=>[4,3,8,1,5,6,7,2]=>[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,7,6,5,1,8,4,3]=>[3,4,8,1,5,6,7,2]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,3,5,1,8,6,4,2]=>[2,4,6,8,1,5,3,7]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,4,8,7,6,1,5]=>[5,1,6,7,8,4,3,2]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[7,4,1,5,8,2,3,6]=>[6,3,2,8,5,1,4,7]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,7,6,4,5,8,3,1]=>[1,3,8,5,4,6,7,2]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[2,3,4,8,7,1,6,5]=>[5,6,1,7,8,4,3,2]=>[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,3,4,8,1,7,6,5]=>[5,6,7,1,8,4,3,2]=>[5,6,7,1,4,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,3,5,4,8,2,7,1]=>[1,7,2,8,4,5,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,3,4,8,1,5,7,6]=>[6,7,5,1,8,4,3,2]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,8,2,6,1,5,3,4]=>[4,3,5,1,6,2,8,7]=>[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]=>[4,3,5,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,8,5,7,2,6,3,4]=>[4,3,6,2,7,5,8,1]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,8,1,7,2,6,3,4]=>[4,3,6,2,7,1,8,5]=>[4,3,6,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,8,2,7,1,6,3,4]=>[4,3,6,1,7,2,8,5]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,8,6,7,1,5,3,4]=>[4,3,5,1,7,6,8,2]=>[4,3,5,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,8,5,7,1,6,3,4]=>[4,3,6,1,7,5,8,2]=>[4,3,6,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,8,1,7,5,6,3,4]=>[4,3,6,5,7,1,8,2]=>[4,3,6,5,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,8,2,7,4,6,3,5]=>[5,3,6,4,7,2,8,1]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,8,1,7,4,6,3,5]=>[5,3,6,4,7,1,8,2]=>[5,3,6,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,8,4,7,1,6,3,5]=>[5,3,6,1,7,4,8,2]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,2,7,1,6,3,5]=>[5,3,6,1,7,2,8,4]=>[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,8,1,7,2,6,3,5]=>[5,3,6,2,7,1,8,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,8,4,7,2,6,3,5]=>[5,3,6,2,7,4,8,1]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,8,1,7,5,6,2,3]=>[3,2,6,5,7,1,8,4]=>[3,2,6,5,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,8,3,7,5,6,2,4]=>[4,2,6,5,7,3,8,1]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,8,1,7,5,6,2,4]=>[4,2,6,5,7,1,8,3]=>[4,2,6,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,8,1,7,4,6,2,5]=>[5,2,6,4,7,1,8,3]=>[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,8,3,7,4,6,2,5]=>[5,2,6,4,7,3,8,1]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,8,3,7,2,6,4,5]=>[5,4,6,2,7,3,8,1]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,8,1,7,2,6,4,5]=>[5,4,6,2,7,1,8,3]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,8,2,7,1,6,4,5]=>[5,4,6,1,7,2,8,3]=>[5,4,6,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,8,2,7,4,6,1,5]=>[5,1,6,4,7,2,8,3]=>[5,1,6,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,8,2,7,5,6,1,4]=>[4,1,6,5,7,2,8,3]=>[4,1,6,5,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,8,2,7,5,6,1,3]=>[3,1,6,5,7,2,8,4]=>[3,1,6,5,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,8,3,7,5,6,1,2]=>[2,1,6,5,7,3,8,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,8,4,7,5,6,1,3]=>[3,1,6,5,7,4,8,2]=>[3,1,6,5,7,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,8,3,7,5,6,1,4]=>[4,1,6,5,7,3,8,2]=>[4,1,6,5,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,8,3,7,4,6,1,5]=>[5,1,6,4,7,3,8,2]=>[5,1,6,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,8,3,7,1,6,4,5]=>[5,4,6,1,7,3,8,2]=>[5,4,6,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,8,1,7,3,6,4,5]=>[5,4,6,3,7,1,8,2]=>[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,2,8,6,4,1,3]=>[3,1,4,6,8,2,5,7]=>[3,1,4,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,1,8,6,2,3,4]=>[4,3,2,6,8,1,5,7]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,8,6,1,5,2,3]=>[3,2,5,1,6,8,4,7]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,8,4,5,2,6,3]=>[3,6,2,5,4,8,1,7]=>[3,6,2,5,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,1,7,4,2,5,3]=>[3,5,2,4,7,1,8,6]=>[3,5,2,4,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,6,7,4,2,8,5,3]=>[3,5,8,2,4,7,6,1]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,6,7,3,8,5,2,4]=>[4,2,5,8,3,7,6,1]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,1,8,3,5,6,2,4]=>[4,2,6,5,3,8,1,7]=>[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,8,6,2,5,1,4]=>[4,1,5,2,6,8,3,7]=>[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,2,8,6,1,3,5]=>[5,3,1,6,8,2,4,7]=>[5,3,1,6,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,3,1,8,4,2,5,6]=>[6,5,2,4,8,1,3,7]=>[6,5,2,4,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,2,8,4,1,5,3,6]=>[6,3,5,1,4,8,2,7]=>[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,2,8,3,5,1,6,4]=>[4,6,1,5,3,8,2,7]=>[4,6,1,5,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,8,3,4,6,1,5]=>[5,1,6,4,3,8,2,7]=>[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,7,8,2,6,3,4]=>[4,3,6,2,8,7,5,1]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,3,8,5,7,4,1]=>[1,4,7,5,8,3,2,6]=>[1,4,7,5,3,2,6]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[6,2,4,8,5,3,1,7]=>[7,1,3,5,8,4,2,6]=>[7,1,3,5,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,3,1,4,8,5,2,7]=>[7,2,5,8,4,1,3,6]=>[7,2,5,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,3,7,8,5,4,1]=>[1,4,5,8,7,3,6,2]=>[1,4,5,7,3,6,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[2,6,3,7,8,4,5,1]=>[1,5,4,8,7,3,6,2]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,4,7,3,5,6,8,1]=>[1,8,6,5,3,7,4,2]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[2,4,7,3,6,8,5,1]=>[1,5,8,6,3,7,4,2]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,5,3,7,8,1,6,4]=>[4,6,1,8,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,1,5,4,7,8,2,6]=>[6,2,8,7,4,5,1,3]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,1,4,8,2,6,7]=>[7,6,2,8,4,1,3,5]=>[7,6,2,4,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,4,8,6,1,3,7]=>[7,3,1,6,8,4,2,5]=>[7,3,1,6,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,2,3,8,4,6,7,1]=>[1,7,6,4,8,3,2,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,8,2,3,6,1,7,5]=>[5,7,1,6,3,2,8,4]=>[5,7,1,6,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,8,2,3,5,7,1,6]=>[6,1,7,5,3,2,8,4]=>[6,1,7,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,4,7,8,3,6,2,5]=>[5,2,6,3,8,7,4,1]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,8,1,3,6,7,2,5]=>[5,2,7,6,3,1,8,4]=>[5,2,7,6,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,3,8,2,4,7,1,6]=>[6,1,7,4,2,8,3,5]=>[6,1,7,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,4,3,8,1,2,7,6]=>[6,7,2,1,8,3,4,5]=>[6,7,2,1,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,4,2,8,1,3,7,5]=>[5,7,3,1,8,2,4,6]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,3,8,2,5,1,7,4]=>[4,7,1,5,2,8,3,6]=>[4,7,1,5,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,8,1,4,7,2,5]=>[5,2,7,4,1,8,3,6]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,8,1,3,6,2,7,4]=>[4,7,2,6,3,1,8,5]=>[4,7,2,6,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,5,7,4,2,6,8,3]=>[3,8,6,2,4,7,5,1]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,8,1,4,2,6,3,7]=>[7,3,6,2,4,1,8,5]=>[7,3,6,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,8,4,1,2,7,6,3]=>[3,6,7,2,1,4,8,5]=>[3,6,7,2,1,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,5,1,2,8,7,3,4]=>[4,3,7,8,2,1,5,6]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]=>[7,2,4,6,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,2,6,4,1,7,3,8]=>[8,3,7,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,1,7,5,2,8,3]=>[3,8,2,5,7,1,6,4]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,1,7,2,6,3,8]=>[8,3,6,2,7,1,5,4]=>[3,6,2,7,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,5,6,1,2,8,7,4]=>[4,7,8,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,5,7,1,8,6,2,4]=>[4,2,6,8,1,7,5,3]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,7,5,1,8,4]=>[4,8,1,5,7,2,6,3]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,5,7,1,8,6,3]=>[3,6,8,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,4,7,2,8,6,1,5]=>[5,1,6,8,2,7,4,3]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,4,5,8,2,7,1,6]=>[6,1,7,2,8,5,4,3]=>[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,4,6,2,8,1,5,7]=>[7,5,1,8,2,6,4,3]=>[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,2,6,8,1,7,4]=>[4,7,1,8,6,2,5,3]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,5,6,1,3,8,7]=>[7,8,3,1,6,5,2,4]=>[7,3,1,6,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,3,1,2,5,6,8,7]=>[7,8,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4,8]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,1,6,5,4,8,2,7]=>[7,2,8,4,5,6,1,3]=>[7,2,4,5,6,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[8,7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7,8]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7,8]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[8,4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4,8]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,7,6,5,8,1,2,3]=>[3,2,1,8,5,6,7,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[5,6,4,3,8,7,1,2]=>[2,1,7,8,3,4,6,5]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,6,5,8,1,4,2,3]=>[3,2,4,1,8,5,6,7]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,8,6,7,3,2,1,4]=>[4,1,2,3,7,6,8,5]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]=>[4,7,1,2,3,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,1,4,2,8,5,7,3]=>[3,7,5,8,2,4,1,6]=>[3,7,5,2,4,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,8,6,2,7,3,4]=>[4,3,7,2,6,8,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6,8]=>[4,3,2,7,5,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,6,5,8,1,2,4,3]=>[3,4,2,1,8,5,6,7]=>[3,4,2,1,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,2,1,3,6,7,8,5]=>[5,8,7,6,3,1,2,4]=>[5,7,6,3,1,2,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,7,6,1,5,2,8,3]=>[3,8,2,5,1,6,7,4]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,4,7,2,5,8,3,6]=>[6,3,8,5,2,7,4,1]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,2,7,6,5,1,4,8]=>[8,4,1,5,6,7,2,3]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,2,7,6,5,8,3,4]=>[4,3,8,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[4,8,2,6,1,5,3,7]=>[7,3,5,1,6,2,8,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,6,2,5,1,8,7]=>[7,8,1,5,2,6,3,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]=>[4,3,6,5,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,3,7,4,8,2,5,6]=>[6,5,2,8,4,7,3,1]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,8,7,6,3,1,2,4]=>[4,2,1,3,6,7,8,5]=>[4,2,1,3,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[7,5,6,8,1,4,3,2]=>[2,3,4,1,8,6,5,7]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,2,7,8,5,4,3,6]=>[6,3,4,5,8,7,2,1]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]=>[7,5,6,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,6,4,7,5,8,2,3]=>[3,2,8,5,7,4,6,1]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,2,7,6,8,3,4,5]=>[5,4,3,8,6,7,2,1]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,7,1,8,4,5,3,6]=>[6,3,5,4,8,1,7,2]=>[6,3,5,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4,8]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,4,2,1,8,5,3,6]=>[6,3,5,8,1,2,4,7]=>[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,5,8,4,7,2,1]=>[1,2,7,4,8,5,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,4,3,8,6,7,2,1]=>[1,2,7,6,8,3,4,5]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,2,8,5,7,4,6,1]=>[1,6,4,7,5,8,2,3]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,1,8,7,4,6,3,5]=>[5,3,6,4,7,8,1,2]=>[5,3,6,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]=>[7,5,3,4,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,6,1,4,8,3,5,7]=>[7,5,3,8,4,1,6,2]=>[7,5,3,4,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,6,1,8,3,5,7]=>[7,5,3,8,1,6,2,4]=>[7,5,3,1,6,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,2,4,1,8,3,5,7]=>[7,5,3,8,1,4,2,6]=>[7,5,3,1,4,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,2,1,6,8,3,5,7]=>[7,5,3,8,6,1,2,4]=>[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]=>[7,5,6,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,8,1,6,3,5,7]=>[7,5,3,6,1,8,2,4]=>[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,3,6,1,5,2,8,7]=>[7,8,2,5,1,6,3,4]=>[7,2,5,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,5,2,8,1,7,6]=>[6,7,1,8,2,5,3,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,3,7,2,6,5,8,1]=>[1,8,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,8,2,6,1,7,5]=>[5,7,1,6,2,8,3,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,6,8,1,5,2]=>[2,5,1,8,6,7,3,4]=>[2,5,1,6,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,5,4,8,1,7,2]=>[2,7,1,8,4,5,3,6]=>[2,7,1,4,5,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,5,8,1,7,4]=>[4,7,1,8,5,6,2,3]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,4,1,8,5,6,3]=>[3,6,5,8,1,4,2,7]=>[3,6,5,1,4,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,4,8,2,6,1,7,3]=>[3,7,1,6,2,8,4,5]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,5,8,3,7,4]=>[4,7,3,8,5,6,1,2]=>[4,7,3,5,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,3,4,7,1,8,6]=>[6,8,1,7,4,3,5,2]=>[6,1,7,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,4,1,3,8,2,6,7]=>[7,6,2,8,3,1,4,5]=>[7,6,2,3,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,7,3,8,4,2,6]=>[6,2,4,8,3,7,5,1]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,8,1,7,4,3,5,2]=>[2,5,3,4,7,1,8,6]=>[2,5,3,4,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,4,8,7,1,5,2,3]=>[3,2,5,1,7,8,4,6]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,4,8,3,7,5,1]=>[1,5,7,3,8,4,2,6]=>[1,5,7,3,4,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,1,8,5,7,4,3,6]=>[6,3,4,7,5,8,1,2]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,3,7,1,8,4,2]=>[2,4,8,1,7,3,5,6]=>[2,4,1,7,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,4,7,5,8,1,2]=>[2,1,8,5,7,4,3,6]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,8,3,7,1,2,6,5]=>[5,6,2,1,7,3,8,4]=>[5,6,2,1,7,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,3,7,8,2,4,6,1]=>[1,6,4,2,8,7,3,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,6,3,1,8,7,2,4]=>[4,2,7,8,1,3,6,5]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,8,7,3,2,1,6,5]=>[5,6,1,2,3,7,8,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,8,7,3,6,5,2,1]=>[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[5,8,7,6,3,1,4,2]=>[2,4,1,3,6,7,8,5]=>[2,4,1,3,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,8,7,6,3,2,4,1]=>[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,8,7,6,2,1,4,3]=>[3,4,1,2,6,7,8,5]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,5]=>[3,1,2,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[7,3,4,2,1,6,5,8]=>[8,5,6,1,2,4,3,7]=>[5,6,1,2,4,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,3,5,2,6,1,4,8]=>[8,4,1,6,2,5,3,7]=>[4,1,6,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,3,5,2,6,4,1,8]=>[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,5,2,7,4,8,1]=>[1,8,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,1,5,6,4,3,8]=>[8,3,4,6,5,1,2,7]=>[3,4,6,5,1,2,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,3,5,1,6,4,2,8]=>[8,2,4,6,1,5,3,7]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,4,5,6,1,3,2,8]=>[8,2,3,1,6,5,4,7]=>[2,3,1,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,4,5,7,3,2,8,6]=>[6,8,2,3,7,5,4,1]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[1,4,6,7,3,8,2,5]=>[5,2,8,3,7,6,4,1]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[6,4,5,7,3,1,8,2]=>[2,8,1,3,7,5,4,6]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,4,5,7,1,3,8,2]=>[2,8,3,1,7,5,4,6]=>[2,3,1,7,5,4,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,5,1,7,4,8,2]=>[2,8,4,7,1,5,3,6]=>[2,4,7,1,5,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,1,5,7,4,8,3]=>[3,8,4,7,5,1,2,6]=>[3,4,7,5,1,2,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,2,1,5,7,4,8,6]=>[6,8,4,7,5,1,2,3]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,6,7,3,8,1,5]=>[5,1,8,3,7,6,4,2]=>[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,4,6,7,3,8,5,2]=>[2,5,8,3,7,6,4,1]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,5,6,7,8,3,1,4]=>[4,1,3,8,7,6,5,2]=>[4,1,3,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[3,2,1,6,7,8,4,5]=>[5,4,8,7,6,1,2,3]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,2,1,6,7,8,4,3]=>[3,4,8,7,6,1,2,5]=>[3,4,7,6,1,2,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,3,6,1,7,8,4,2]=>[2,4,8,7,1,6,3,5]=>[2,4,7,1,6,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,6,7,1,8,3,2]=>[2,3,8,1,7,6,4,5]=>[2,3,1,7,6,4,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,5,6,7,8,3,2,4]=>[4,2,3,8,7,6,5,1]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[6,4,5,7,2,1,8,3]=>[3,8,1,2,7,5,4,6]=>[3,1,2,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,4,6,7,2,8,3,1]=>[1,3,8,2,7,6,4,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,2,7,8,4,1]=>[1,4,8,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,6,2,7,8,1,4]=>[4,1,8,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,3,5,2,7,1,8,4]=>[4,8,1,7,2,5,3,6]=>[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,3,4,2,1,7,8,5]=>[5,8,7,1,2,4,3,6]=>[5,7,1,2,4,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,4,1,2,7,8,6]=>[6,8,7,2,1,4,3,5]=>[6,7,2,1,4,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,3,6,2,7,8,1,5]=>[5,1,8,7,2,6,3,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,3,6,2,7,8,5,1]=>[1,5,8,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,6,2,7,8,5,4]=>[4,5,8,7,2,6,3,1]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,4,6,7,2,8,5,3]=>[3,5,8,2,7,6,4,1]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,4,6,7,2,8,5,1]=>[1,5,8,2,7,6,4,3]=>[1,5,2,7,6,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[3,4,5,7,2,1,8,6]=>[6,8,1,2,7,5,4,3]=>[6,1,2,7,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,2,1,5,7,3,8,6]=>[6,8,3,7,5,1,2,4]=>[6,3,7,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,2,1,6,7,8,3,5]=>[5,3,8,7,6,1,2,4]=>[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,3,6,1,7,8,2,5]=>[5,2,8,7,1,6,3,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,6,7,8,2,4,3]=>[3,4,2,8,7,6,5,1]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,5,6,7,8,4,2,3]=>[3,2,4,8,7,6,5,1]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,4,6,7,1,8,5,2]=>[2,5,8,1,7,6,4,3]=>[2,5,1,7,6,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,6,1,7,8,5,2]=>[2,5,8,7,1,6,3,4]=>[2,5,7,1,6,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,6,7,8,5,3]=>[3,5,8,7,6,1,2,4]=>[3,5,7,6,1,2,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,3,6,1,7,8,5,4]=>[4,5,8,7,1,6,3,2]=>[4,5,7,1,6,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[2,4,6,7,1,8,5,3]=>[3,5,8,1,7,6,4,2]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,5,6,7,8,1,4,3]=>[3,4,1,8,7,6,5,2]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,4,3,7,6,8,2,5]=>[5,2,8,6,7,3,4,1]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,3,7,5,8,2,6]=>[6,2,8,5,7,3,4,1]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,3,7,2,6,5,8]=>[8,5,6,2,7,3,4,1]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,5,3,7,4,8,2,6]=>[6,2,8,4,7,3,5,1]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,2,6,5,8,4,7]=>[7,4,8,5,6,2,3,1]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,5,4,8,2,6,3,7]=>[7,3,6,2,8,4,5,1]=>[7,3,6,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,4,8,3,7,2,6]=>[6,2,7,3,8,4,5,1]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,8,4,5,2,6,1]=>[1,6,2,5,4,8,7,3]=>[1,6,2,5,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,8,3,6,1,5,7,2]=>[2,7,5,1,6,3,8,4]=>[2,7,5,1,6,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,8,3,1,6,4,7,2]=>[2,7,4,6,1,3,8,5]=>[2,7,4,6,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,1,8,6,2,4,3]=>[3,4,2,6,8,1,5,7]=>[3,4,2,6,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,4,1,8,2,6,3,5]=>[5,3,6,2,8,1,4,7]=>[5,3,6,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,1,8,4,2,6,3,5]=>[5,3,6,2,4,8,1,7]=>[5,3,6,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>[7,4,2,5,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[6,1,3,8,5,2,4,7]=>[7,4,2,5,8,3,1,6]=>[7,4,2,5,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,8,3,6,2,5,4]=>[4,5,2,6,3,8,1,7]=>[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,3,1,8,4,2,6,5]=>[5,6,2,4,8,1,3,7]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,8,4,1,6,5,3]=>[3,5,6,1,4,8,2,7]=>[3,5,6,1,4,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,8,3,6,5,1,4]=>[4,1,5,6,3,8,2,7]=>[4,1,5,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,2,8,3,6,1,5,4]=>[4,5,1,6,3,8,2,7]=>[4,5,1,6,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,1,8,2,3,6,5,4]=>[4,5,6,3,2,8,1,7]=>[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[6,1,2,8,3,5,4,7]=>[7,4,5,3,8,2,1,6]=>[7,4,5,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,5,2,3,8,4,7,6]=>[6,7,4,8,3,2,5,1]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[5,1,2,3,8,4,7,6]=>[6,7,4,8,3,2,1,5]=>[6,7,4,3,2,1,5]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,2,3,8,1,4,7,6]=>[6,7,4,1,8,3,2,5]=>[6,7,4,1,3,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,2,8,1,3,5,4,7]=>[7,4,5,3,1,8,2,6]=>[7,4,5,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,2,4,1,8,7,3,5]=>[5,3,7,8,1,4,2,6]=>[5,3,7,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,3,1,4,2,8,5,7]=>[7,5,8,2,4,1,3,6]=>[7,5,2,4,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,1,6,4,2,8,5,7]=>[7,5,8,2,4,6,1,3]=>[7,5,2,4,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,6,3,8,7,1,5,4]=>[4,5,1,7,8,3,6,2]=>[4,5,1,7,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,3,8,5,1,4,7]=>[7,4,1,5,8,3,6,2]=>[7,4,1,5,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,1,8,3,4,7,6]=>[6,7,4,3,8,1,5,2]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,5,1,3,8,4,7,6]=>[6,7,4,8,3,1,5,2]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,2,5,3,8,4,7,6]=>[6,7,4,8,3,5,2,1]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[1,2,4,8,3,7,6,5]=>[5,6,7,3,8,4,2,1]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,4,8,1,3,7,6,5]=>[5,6,7,3,1,8,4,2]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,4,8,3,7,1,6,5]=>[5,6,1,7,3,8,4,2]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,4,8,3,7,6,1,5]=>[5,1,6,7,3,8,4,2]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,5,3,8,1,7,4,6]=>[6,4,7,1,8,3,5,2]=>[6,4,7,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,4,1,3,8,7,6]=>[6,7,8,3,1,4,5,2]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,5,4,8,2,7,6]=>[6,7,2,8,4,5,1,3]=>[6,7,2,4,5,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,3,1,4,8,2,7,6]=>[6,7,2,8,4,1,3,5]=>[6,7,2,4,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,3,8,4,7,1,6]=>[6,1,7,4,8,3,2,5]=>[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,8,2,3,7,6,1,5]=>[5,1,6,7,3,2,8,4]=>[5,1,6,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,8,2,3,7,1,6,5]=>[5,6,1,7,3,2,8,4]=>[5,6,1,7,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,8,1,2,3,7,6,5]=>[5,6,7,3,2,1,8,4]=>[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[1,4,8,2,3,7,6,5]=>[5,6,7,3,2,8,4,1]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[1,4,8,3,7,2,6,5]=>[5,6,2,7,3,8,4,1]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,3,8,1,5,2,4,7]=>[7,4,2,5,1,8,3,6]=>[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,3,8,1,2,4,7,6]=>[6,7,4,2,1,8,3,5]=>[6,7,4,2,1,3,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,1,3,8,2,4,7,6]=>[6,7,4,2,8,3,1,5]=>[6,7,4,2,3,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,5,3,8,2,4,7,6]=>[6,7,4,2,8,3,5,1]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[1,5,4,8,2,7,6,3]=>[3,6,7,2,8,4,5,1]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,8,2,7,6,3]=>[3,6,7,2,8,4,1,5]=>[3,6,7,2,4,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,8,1,2,7,6,3]=>[3,6,7,2,1,8,4,5]=>[3,6,7,2,1,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,5,1,2,8,7,4,3]=>[3,4,7,8,2,1,5,6]=>[3,4,7,2,1,5,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,3,1,6,4,2,8,7]=>[7,8,2,4,6,1,3,5]=>[7,2,4,6,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,1,6,2,8,7,4,3]=>[3,4,7,8,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,1,5,8,2,7,6,3]=>[3,6,7,2,8,5,1,4]=>[3,6,7,2,5,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,1,2,5,8,7,6,3]=>[3,6,7,8,5,2,1,4]=>[3,6,7,5,2,1,4]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[1,4,2,5,8,7,6,3]=>[3,6,7,8,5,2,4,1]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,3,5,2,8,7,4,6]=>[6,4,7,8,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,1,2,8,7,4,6]=>[6,4,7,8,2,1,5,3]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,2,8,7,5,1,4]=>[4,1,5,7,8,2,6,3]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,6,1,8,7,3,5]=>[5,3,7,8,1,6,2,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,1,5,8,2,7,6]=>[6,7,2,8,5,1,3,4]=>[6,7,2,5,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,5,2,8,7,1,4,6]=>[6,4,1,7,8,2,5,3]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,8,7,1,2,6,5]=>[5,6,2,1,7,8,4,3]=>[5,6,2,1,7,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,4,8,1,7,2,6,5]=>[5,6,2,7,1,8,4,3]=>[5,6,2,7,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,3,4,8,7,2,6,5]=>[5,6,2,7,8,4,3,1]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,3,4,8,2,7,6,5]=>[5,6,7,2,8,4,3,1]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,8,1,2,7,6,5]=>[5,6,7,2,1,8,4,3]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,4,8,2,7,1,6,5]=>[5,6,1,7,2,8,4,3]=>[5,6,1,7,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,8,2,7,6,1,5]=>[5,1,6,7,2,8,4,3]=>[5,1,6,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,5,8,1,7,6,3]=>[3,6,7,1,8,5,2,4]=>[3,6,7,1,5,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]=>[6,7,5,2,1,3,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,1,4,2,5,8,7,6]=>[6,7,8,5,2,4,1,3]=>[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,8,2,1,5,3,6,4]=>[4,6,3,5,1,2,8,7]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,4,1,2,7,3,5,8]=>[8,5,3,7,2,1,4,6]=>[5,3,7,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,7,5,4,1,8,6]=>[6,8,1,4,5,7,3,2]=>[6,1,4,5,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[6,3,1,5,4,2,7,8]=>[8,7,2,4,5,1,3,6]=>[7,2,4,5,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,8,1,5,4,2,6,3]=>[3,6,2,4,5,1,8,7]=>[3,6,2,4,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,8,3,5,4,1,6,2]=>[2,6,1,4,5,3,8,7]=>[2,6,1,4,5,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,8,2,5,4,1,3,6]=>[6,3,1,4,5,2,8,7]=>[6,3,1,4,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,8,2,5,4,6,1,3]=>[3,1,6,4,5,2,8,7]=>[3,1,6,4,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,6,1,4,7,8,2]=>[2,8,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,3,6,2,4,7,1,8]=>[8,1,7,4,2,6,3,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,4,2,1,7,3,8,5]=>[5,8,3,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,3,7,5,8,6,1,2]=>[2,1,6,8,5,7,3,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,7,1,8,3,6,5]=>[5,6,3,8,1,7,2,4]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,6,7,4,8,1,5]=>[5,1,8,4,7,6,2,3]=>[5,1,4,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,1,6,7,4,8,5,2]=>[2,5,8,4,7,6,1,3]=>[2,5,4,7,6,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[1,7,6,5,3,8,4,2]=>[2,4,8,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,7,6,5,3,8,1,4]=>[4,1,8,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,7,6,5,2,4,8,3]=>[3,8,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,7,6,5,3,1,4,8]=>[8,4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,7,1,4,8,3,5,6]=>[6,5,3,8,4,1,7,2]=>[6,5,3,4,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,7,6,4,8,5,1,2]=>[2,1,5,8,4,6,7,3]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,7,6,3,8,4,1,2]=>[2,1,4,8,3,6,7,5]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,1,6,2,4,8,3,7]=>[7,3,8,4,2,6,1,5]=>[7,3,4,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,6,5,2,1,3,8]=>[8,3,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,7,6,5,2,8,1,3]=>[3,1,8,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,7,6,5,1,8,3,2]=>[2,3,8,1,5,6,7,4]=>[2,3,1,5,6,7,4]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,7,6,5,2,8,3,4]=>[4,3,8,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,7,6,5,3,2,8,4]=>[4,8,2,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[4,7,6,5,1,2,8,3]=>[3,8,2,1,5,6,7,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,7,6,5,3,1,8,2]=>[2,8,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[6,1,3,5,4,8,7,2]=>[2,7,8,4,5,3,1,6]=>[2,7,4,5,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,2,6,3,4,1,7,8]=>[8,7,1,4,3,6,2,5]=>[7,1,4,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,1,6,2,4,7,8,3]=>[3,8,7,4,2,6,1,5]=>[3,7,4,2,6,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,2,6,3,4,8,7,5]=>[5,7,8,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[1,7,2,4,8,3,6,5]=>[5,6,3,8,4,2,7,1]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,4,2,8,3,5,7]=>[7,5,3,8,2,4,1,6]=>[7,5,3,2,4,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,1,8,2,6,3,5,7]=>[7,5,3,6,2,8,1,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,7,2,1,5,3,6,8]=>[8,6,3,5,1,2,7,4]=>[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,7,1,6,2,3,8,5]=>[5,8,3,2,6,1,7,4]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,7,2,6,8,3,5,4]=>[4,5,3,8,6,2,7,1]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,2,6,7,4,8,5,3]=>[3,5,8,4,7,6,2,1]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,1,6,7,4,2,8,5]=>[5,8,2,4,7,6,1,3]=>[5,2,4,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,2,8,5,4,6,1,7]=>[7,1,6,4,5,8,2,3]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,6,3,5,8,1,2]=>[2,1,8,5,3,6,7,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,1,2,5,3,8,6]=>[6,8,3,5,2,1,7,4]=>[6,3,5,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,7,6,5,2,4,1,8]=>[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[3,7,6,5,1,4,8,2]=>[2,8,4,1,5,6,7,3]=>[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,7,6,5,2,1,8,4]=>[4,8,1,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,7,6,5,8,2,4,3]=>[3,4,2,8,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,6,5,8,1,4,2]=>[2,4,1,8,5,6,7,3]=>[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,7,6,5,1,2,4,8]=>[8,4,2,1,5,6,7,3]=>[4,2,1,5,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[3,1,6,8,4,2,5,7]=>[7,5,2,4,8,6,1,3]=>[7,5,2,4,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,6,8,3,5,1,2]=>[2,1,5,3,8,6,7,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,7,6,5,1,4,3,8]=>[8,3,4,1,5,6,7,2]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,7,6,5,8,1,3,4]=>[4,3,1,8,5,6,7,2]=>[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,7,6,5,8,4,1,3]=>[3,1,4,8,5,6,7,2]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,3,2,1,7,4,8,5]=>[5,8,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,2,1,7,3,5,8,6]=>[6,8,5,3,7,1,2,4]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,3,7,2,1,5,8,6]=>[6,8,5,1,2,7,3,4]=>[6,5,1,2,7,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,5,2,1,8,4,3,7]=>[7,3,4,8,1,2,5,6]=>[7,3,4,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,8,5,3,6,4,2]=>[2,4,6,3,5,8,1,7]=>[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,6,5,8,1,4,2,7]=>[7,2,4,1,8,5,6,3]=>[7,2,4,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,3,6,8,2,1,5,7]=>[7,5,1,2,8,6,3,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,4,1,6,8,2,3,7]=>[7,3,2,8,6,1,4,5]=>[7,3,2,6,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,5,2,1,7,8,3,4]=>[4,3,8,7,1,2,5,6]=>[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,1,8,4,7,5,2]=>[2,5,7,4,8,1,3,6]=>[2,5,7,4,1,3,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,2,8,1,7,3,6,4]=>[4,6,3,7,1,8,2,5]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,3,8,1,6,4,2]=>[2,4,6,1,8,3,7,5]=>[2,4,6,1,3,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,3,8,7,2,1,6,4]=>[4,6,1,2,7,8,3,5]=>[4,6,1,2,7,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,3]=>[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,2]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[9,8,7,6,5,4,1,2,3]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[9,8,7,6,5,1,2,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]
[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[9,8,7,6,1,2,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]
[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[9,8,7,1,2,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,8,2,4,1,6]=>[6,1,4,2,8,5,7,3]=>[6,1,4,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,8,5,7,2,4,1,6]=>[6,1,4,2,7,5,8,3]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,5,3,8,1,4,2,6]=>[6,2,4,1,8,3,5,7]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,8,1,4,3,7,2,5]=>[5,2,7,3,4,1,8,6]=>[5,2,7,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,6,2,8,3,1,4,5]=>[5,4,1,3,8,2,6,7]=>[5,4,1,3,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,8,3,7,1,4,2,6]=>[6,2,4,1,7,3,8,5]=>[6,2,4,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,3,4,8,7,5]=>[5,7,8,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,8,1,2,6,3,5,4]=>[4,5,3,6,2,1,8,7]=>[4,5,3,6,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,4,8,2,7,3,5,6]=>[6,5,3,7,2,8,4,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,8,5,4,7,3,6]=>[6,3,7,4,5,8,2,1]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,3,8,5,4,2,7,6]=>[6,7,2,4,5,8,3,1]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,3,6,8,4,7,1,5]=>[5,1,7,4,8,6,3,2]=>[5,1,7,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,3,6,8,4,7,5,2]=>[2,5,7,4,8,6,3,1]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,4,8,1,7,3,6,5]=>[5,6,3,7,1,8,4,2]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,4,8,5,7,6,1,2]=>[2,1,6,7,5,8,4,3]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,2,6,8,4,5,7,3]=>[3,7,5,4,8,6,2,1]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,1,2,4,3,6,8]=>[8,6,3,4,2,1,5,7]=>[6,3,4,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,4,6,1,5,2,3,8]=>[8,3,2,5,1,6,4,7]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,4,2,6,3,5,8]=>[8,5,3,6,2,4,1,7]=>[5,3,6,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,8,1,4,7,2,3,5]=>[5,3,2,7,4,1,8,6]=>[5,3,2,7,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,6,4,2,8,3,5,7]=>[7,5,3,8,2,4,6,1]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,6,3,8,5,4,2,7]=>[7,2,4,5,8,3,6,1]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,8,1,7,3,5,4,2]=>[2,4,5,3,7,1,8,6]=>[2,4,5,3,7,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,1,3,6,5,4,2,8]=>[8,2,4,5,6,3,1,7]=>[2,4,5,6,3,1,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,3,1,6,5,4,2,8]=>[8,2,4,5,6,1,3,7]=>[2,4,5,6,1,3,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,2,1,4,6,3,5,8]=>[8,5,3,6,4,1,2,7]=>[5,3,6,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[6,8,1,2,7,3,5,4]=>[4,5,3,7,2,1,8,6]=>[4,5,3,7,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,6,2,3,8,5,4,7]=>[7,4,5,8,3,2,6,1]=>[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,5,8,2,7,6,3,4]=>[4,3,6,7,2,8,5,1]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[5,1,8,2,7,6,3,4]=>[4,3,6,7,2,8,1,5]=>[4,3,6,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[5,8,2,7,6,3,4,1]=>[1,4,3,6,7,2,8,5]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,2,8,1,7,3,5,4]=>[4,5,3,7,1,8,2,6]=>[4,5,3,7,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,8,2,1,7,4,3,5]=>[5,3,4,7,1,2,8,6]=>[5,3,4,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,4,1,2,8,5,7]=>[7,5,8,2,1,4,6,3]=>[7,5,2,1,4,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,1,6,3,8,5,4,7]=>[7,4,5,8,3,6,1,2]=>[7,4,5,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,1,8,7,6,3,4]=>[4,3,6,7,8,1,5,2]=>[4,3,6,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,3,8,7,4,6,1]=>[1,6,4,7,8,3,5,2]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,8,7,6,5,1,3]=>[3,1,5,6,7,8,4,2]=>[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,5,3,8,7,1,6,4]=>[4,6,1,7,8,3,5,2]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,5,8,4,1,7,6,3]=>[3,6,7,1,4,8,5,2]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,8,7,1,4,2,6]=>[6,2,4,1,7,8,5,3]=>[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,8,4,1,7,6,2]=>[2,6,7,1,4,8,3,5]=>[2,6,7,1,4,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,8,7,6,3,5,1]=>[1,5,3,6,7,8,2,4]=>[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,2,8,7,6,5,3,1]=>[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,2,4]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]=>[2,3,5,6,7,1,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,8,7,6,5,1,2]=>[2,1,5,6,7,8,3,4]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,3,1,8,7,2,5,4]=>[4,5,2,7,8,1,3,6]=>[4,5,2,7,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,8,3,7,6,1,4,2]=>[2,4,1,6,7,3,8,5]=>[2,4,1,6,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,1,3,8,7,6,2,4]=>[4,2,6,7,8,3,1,5]=>[4,2,6,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,5,3,8,7,6,2,4]=>[4,2,6,7,8,3,5,1]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,8,4,7,2,6,3]=>[3,6,2,7,4,8,5,1]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,8,4,7,2,6,3]=>[3,6,2,7,4,8,1,5]=>[3,6,2,7,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,8,7,4,6,1,2,3]=>[3,2,1,6,4,7,8,5]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,8,5,1,2,4,7,3]=>[3,7,4,2,1,5,8,6]=>[3,7,4,2,1,5,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,6,3,1,2,4,8,7]=>[7,8,4,2,1,3,6,5]=>[7,4,2,1,3,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,6,2,4,3,1,8,7]=>[7,8,1,3,4,2,6,5]=>[7,1,3,4,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,1,2,4,3,8,7]=>[7,8,3,4,2,1,6,5]=>[7,3,4,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,8,1,7,2,3,6]=>[6,3,2,7,1,8,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,8,1,7,2,6,3]=>[3,6,2,7,1,8,5,4]=>[3,6,2,7,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,3,2,5,8,7,4,6]=>[6,4,7,8,5,2,3,1]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,5,1,8,7,4,6,2]=>[2,6,4,7,8,1,5,3]=>[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,5,1,8,7,2,6,4]=>[4,6,2,7,8,1,5,3]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,6,1,2,8,5,7]=>[7,5,8,2,1,6,3,4]=>[7,5,2,1,6,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,8,3,1,7,2,6]=>[6,2,7,1,3,8,5,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,2,8,7,1,3,6]=>[6,3,1,7,8,2,5,4]=>[6,3,1,7,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,5,8,7,1,6,4]=>[4,6,1,7,8,5,2,3]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,4,8,7,6,2,1,5]=>[5,1,2,6,7,8,4,3]=>[5,1,2,6,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[3,1,4,8,7,6,2,5]=>[5,2,6,7,8,4,1,3]=>[5,2,6,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,4,8,7,6,5,1,2]=>[2,1,5,6,7,8,4,3]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,3,4,8,7,6,2,5]=>[5,2,6,7,8,4,3,1]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,4,8,7,6,2,5,1]=>[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[3,2,5,8,7,4,6,1]=>[1,6,4,7,8,5,2,3]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,8,3,1,7,6,2]=>[2,6,7,1,3,8,5,4]=>[2,6,7,1,3,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,1,3,5,8,7,4,6]=>[6,4,7,8,5,3,1,2]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,7,8,1,2,6,5,4]=>[4,5,6,2,1,8,7,3]=>[4,5,6,2,1,7,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[8,2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2,8]=>[5,3,6,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,8,3,7,2,5,4]=>[4,5,2,7,3,8,6,1]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[8,5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5,8]=>[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,8,1,7,4,3]=>[3,4,7,1,8,2,6,5]=>[3,4,7,1,2,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[8,3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3,8]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,8,2,7,5,1,4]=>[4,1,5,7,2,8,3,6]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,2,1,8,4,3,7,6]=>[6,7,3,4,8,1,2,5]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,6,3,2,7,8,5]=>[5,8,7,2,3,6,1,4]=>[5,7,2,3,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,6,5,7,1,3,8,4]=>[4,8,3,1,7,5,6,2]=>[4,3,1,7,5,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,5,4,1,7,2,8,3]=>[3,8,2,7,1,4,5,6]=>[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,3,6,8,7,2,4,1]=>[1,4,2,7,8,6,3,5]=>[1,4,2,7,6,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,8,7,3,1,5,6,2]=>[2,6,5,1,3,7,8,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,8,5,3,6,1,2,4]=>[4,2,1,6,3,5,8,7]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,6,3,1,4,2,8]=>[8,2,4,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,8,3,1,4,2,6]=>[6,2,4,1,3,8,5,7]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,8,5,3,1,4,2,6]=>[6,2,4,1,3,5,8,7]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,8,5,3,1,6,2,4]=>[4,2,6,1,3,5,8,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,8,5,3,4,1,6,2]=>[2,6,1,4,3,5,8,7]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,8,5,3,1,4,6,2]=>[2,6,4,1,3,5,8,7]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,8,5,3,1,2,6,4]=>[4,6,2,1,3,5,8,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,3,8,1,2,6,4]=>[4,6,2,1,8,3,5,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,8,3,4,1,6,2]=>[2,6,1,4,3,8,5,7]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,8,3,4,6,1,2]=>[2,1,6,4,3,8,5,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,5,6,3,4,1,8,2]=>[2,8,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,6,3,1,4,8,2]=>[2,8,4,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,3,1,2,8,4]=>[4,8,2,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,3,6,1,2,8,4]=>[4,8,2,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,3,4,1,2,8,6]=>[6,8,2,1,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,3,1,4,2,6,8]=>[8,6,2,4,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,1,4,2,8,6]=>[6,8,2,4,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,1,6,2,8,4]=>[4,8,2,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,1,6,4,8,2]=>[2,8,4,6,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,3,6,1,4,8,2]=>[2,8,4,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,6,4,1,8,2]=>[2,8,1,4,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,3,6,4,8,1,2]=>[2,1,8,4,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,3,8,4,6,1,2]=>[2,1,6,4,8,3,5,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,5,3,8,1,4,6,2]=>[2,6,4,1,8,3,5,7]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,1,8,4,6,2]=>[2,6,4,8,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,1,8,2,6,4]=>[4,6,2,8,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,3,1,8,2,4,6]=>[6,4,2,8,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,5,3,1,6,2,4,8]=>[8,4,2,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,1,6,4,2,8]=>[8,2,4,6,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,3,1,8,4,2,6]=>[6,2,4,8,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,1,8,6,2,4]=>[4,2,6,8,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,8,3,1,6,2,4]=>[4,2,6,1,3,8,5,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,6,1,4,2,8]=>[8,2,4,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,6,4,1,2,8]=>[8,2,1,4,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,3,8,4,1,2,6]=>[6,2,1,4,8,3,5,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,8,6,3,1,2,4]=>[4,2,1,3,6,8,5,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,6,8,3,1,4,2]=>[2,4,1,3,8,6,5,7]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,3,8,1,2,4]=>[4,2,1,8,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,3,4,1,6,2,8]=>[8,2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,4,1,8,2,6]=>[6,2,8,1,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,5,6,3,1,8,2,4]=>[4,2,8,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,6,3,1,8,4,2]=>[2,4,8,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,3,8,1,4,2]=>[2,4,1,8,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,3,8,4,1,2]=>[2,1,4,8,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,3,6,8,4,1,2]=>[2,1,4,8,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,3,6,8,1,4,2]=>[2,4,1,8,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,6,1,8,4,2]=>[2,4,8,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,1,6,8,4,2]=>[2,4,8,6,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,3,1,6,8,2,4]=>[4,2,8,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,1,4,8,2,6]=>[6,2,8,4,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,3,1,4,6,2,8]=>[8,2,6,4,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,1,2,6,4,8]=>[8,4,6,2,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,3,1,2,8,4,6]=>[6,4,8,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,3,1,4,8,6,2]=>[2,6,8,4,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,4,1,8,6,2]=>[2,6,8,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,4,8,1,6,2]=>[2,6,1,8,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,4,8,6,1,2]=>[2,1,6,8,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,5,3,4,6,1,8,2]=>[2,8,1,6,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,5,3,4,1,6,8,2]=>[2,8,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,3,1,4,6,8,2]=>[2,8,6,4,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,1,2,6,8,4]=>[4,8,6,2,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,4,7,3,8,5,2,1]=>[1,2,5,8,3,7,4,6]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,4,3,2,8,6,1]=>[1,6,8,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[4,6,8,3,5,7,1,2]=>[2,1,7,5,3,8,6,4]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,3,6,5,2,1,8]=>[8,1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[5,2,6,3,7,4,1,8]=>[8,1,4,7,3,6,2,5]=>[1,4,7,3,6,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,1,8,4,5,6]=>[6,5,4,8,1,2,3,7]=>[6,5,4,1,2,3,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,8,3,7,5,4,1,2]=>[2,1,4,5,7,3,8,6]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,8,1,7,5,4,3,6]=>[6,3,4,5,7,1,8,2]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]=>[6,7,2,3,4,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[8,6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6,8]=>[4,7,1,2,3,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[3,1,4,6,8,7,2,5]=>[5,2,7,8,6,4,1,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,1,6,4,8,5,2,3]=>[3,2,5,8,4,6,1,7]=>[3,2,5,4,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5,8]=>[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[8,6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6,8]=>[1,3,7,5,4,2,6]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[4,7,8,1,2,3,6,5]=>[5,6,3,2,1,8,7,4]=>[5,6,3,2,1,7,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[8,4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[1,5,8,2,4,7,3,6]=>[6,3,7,4,2,8,5,1]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,5,7,2,4,6,8,3]=>[3,8,6,4,2,7,5,1]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,7,6,5,2,8,4,3]=>[3,4,8,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,7,3,4,2,8,5,6]=>[6,5,8,2,4,3,7,1]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,3,5,6,1,4,8,2]=>[2,8,4,1,6,5,3,7]=>[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,7,5,6,1,4,8,2]=>[2,8,4,1,6,5,7,3]=>[2,4,1,6,5,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[8,2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2,8]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[8,6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6,8]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,6,1,4,2,8,5,7]=>[7,5,8,2,4,1,6,3]=>[7,5,2,4,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,7,4,3,5,8,2]=>[2,8,5,3,4,7,6,1]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,7,1,4,3,5,8,2]=>[2,8,5,3,4,1,7,6]=>[2,5,3,4,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,6,1,4,3,5,8,2]=>[2,8,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,5,4,1,6,7,8,2]=>[2,8,7,6,1,4,5,3]=>[2,7,6,1,4,5,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,7,1,6,3,5,8,2]=>[2,8,5,3,6,1,7,4]=>[2,5,3,6,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,1,4,7,6,5,8,2]=>[2,8,5,6,7,4,1,3]=>[2,5,6,7,4,1,3]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,1,7,4,3,5,8,2]=>[2,8,5,3,4,7,1,6]=>[2,5,3,4,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,6,4,3,5,8,2]=>[2,8,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,6,4,3,5,8,2]=>[2,8,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[8,1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1,8]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[8,4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4,8]=>[6,5,2,7,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,1,3,8,2,5,6]=>[6,5,2,8,3,1,7,4]=>[6,5,2,3,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,4,1,3,8,2,5,6]=>[6,5,2,8,3,1,4,7]=>[6,5,2,3,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,6,4,2,8,5,7]=>[7,5,8,2,4,6,3,1]=>[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,3,1,2,8,5,6]=>[6,5,8,2,1,3,7,4]=>[6,5,2,1,3,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,7,8,1,2,6,5,3]=>[3,5,6,2,1,8,7,4]=>[3,5,6,2,1,7,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,8,1,4,2,7,5,3]=>[3,5,7,2,4,1,8,6]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,1]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,8,1,3,7,2,5,6]=>[6,5,2,7,3,1,8,4]=>[6,5,2,7,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[8,7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7,8]=>[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,5,7,3,2,1,4]=>[4,1,2,3,7,5,8,6]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,8,4,3,7,2,5,6]=>[6,5,2,7,3,4,8,1]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[2,8,3,4,7,6,1,5]=>[5,1,6,7,4,3,8,2]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[3,7,8,4,6,2,1,5]=>[5,1,2,6,4,8,7,3]=>[5,1,2,6,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,4,6,8,2,1,5]=>[5,1,2,8,6,4,7,3]=>[5,1,2,6,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[2,4,3,7,8,6,1,5]=>[5,1,6,8,7,3,4,2]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,4,7,3,8,2,5,6]=>[6,5,2,8,3,7,4,1]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,7,6,8,3,2,1,4]=>[4,1,2,3,8,6,7,5]=>[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[2,5,3,4,8,6,1,7]=>[7,1,6,8,4,3,5,2]=>[7,1,6,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,7,5,4,8,2,1,6]=>[6,1,2,8,4,5,7,3]=>[6,1,2,4,5,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[7,1,3,4,2,8,5,6]=>[6,5,8,2,4,3,1,7]=>[6,5,2,4,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,1,4,3,8,2,5,7]=>[7,5,2,8,3,4,1,6]=>[7,5,2,3,4,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,1,7,3,8,2,5,6]=>[6,5,2,8,3,7,1,4]=>[6,5,2,3,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[8,1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1,8]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[8,2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2,8]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[4,2,3,7,8,6,1,5]=>[5,1,6,8,7,3,2,4]=>[5,1,6,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,2,3,4,8,6,1,7]=>[7,1,6,8,4,3,2,5]=>[7,1,6,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,5,6,3,8,1,4]=>[4,1,8,3,6,5,7,2]=>[4,1,3,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,7,2,6,3,8,1,4]=>[4,1,8,3,6,2,7,5]=>[4,1,3,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,6,8,4,1,3]=>[3,1,4,8,6,2,7,5]=>[3,1,4,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,2,5,6,8,4,1,3]=>[3,1,4,8,6,5,2,7]=>[3,1,4,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,2,3,8,5,6,1,7]=>[7,1,6,5,8,3,2,4]=>[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,2,3,8,7,6,1,4]=>[4,1,6,7,8,3,2,5]=>[4,1,6,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[8,2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2,8]=>[4,1,6,5,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,1,8,3,7,2,5,4]=>[4,5,2,7,3,8,1,6]=>[4,5,2,7,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,8,4,2,6,5,3]=>[3,5,6,2,4,8,7,1]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,1,8,2,5,6,3]=>[3,6,5,2,8,1,7,4]=>[3,6,5,2,1,7,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,7,4,8,5,2,1,6]=>[6,1,2,5,8,4,7,3]=>[6,1,2,5,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[2,4,3,8,5,6,1,7]=>[7,1,6,5,8,3,4,2]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,4,8,3,6,2,5,7]=>[7,5,2,6,3,8,4,1]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,5,8,6,3,2,1,4]=>[4,1,2,3,6,8,5,7]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,5,8,7,3,2,1,4]=>[4,1,2,3,7,8,5,6]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[8,5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5,8]=>[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[2,5,3,8,7,6,1,4]=>[4,1,6,7,8,3,5,2]=>[4,1,6,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[3,7,5,8,6,2,1,4]=>[4,1,2,6,8,5,7,3]=>[4,1,2,6,5,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,8,6,5,2,1,4]=>[4,1,2,5,6,8,7,3]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,8,7,3,6,2,5,4]=>[4,5,2,6,3,7,8,1]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,8,7,5,3,2,1,4]=>[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,6,8,3,4,1,2]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,4,7,5,8,1,2]=>[2,1,8,5,7,4,6,3]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,6,8,1,4,2,3]=>[3,2,4,1,8,6,7,5]=>[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[7,8,5,6,1,3,2,4]=>[4,2,3,1,6,5,8,7]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,8,6,7,1,3,2,4]=>[4,2,3,1,7,6,8,5]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,8,1,4,2,5,3,6]=>[6,3,5,2,4,1,8,7]=>[6,3,5,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,2,1,4,3,6,5]=>[5,6,3,4,1,2,8,7]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,8,1,2,4,3,5,6]=>[6,5,3,4,2,1,8,7]=>[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,3,6,5,8,7,1,2]=>[2,1,7,8,5,6,3,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,4,6,5,7,8,1,2]=>[2,1,8,7,5,6,4,3]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[8,7,6,5,4,3,1,9,2]=>[2,9,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,8,7,6,5,4,3,1,10,2]=>[2,10,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,10,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,10,8]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,11,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,11,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[6,8,5,4,1,2,7,3]=>[3,7,2,1,4,5,8,6]=>[3,7,2,1,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,8,5,7,3,2,1,6]=>[6,1,2,3,7,5,8,4]=>[6,1,2,3,7,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,1,7,6,8,4,3,2]=>[2,3,4,8,6,7,1,5]=>[2,3,4,6,7,1,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,4,5,8,1,2,7,3]=>[3,7,2,1,8,5,4,6]=>[3,7,2,1,5,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,3,6,4,1,8,7]=>[7,8,1,4,6,3,2,5]=>[7,1,4,6,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,7,6,8,2,5,1]=>[1,5,2,8,6,7,3,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[6,3,7,2,4,8,5,1]=>[1,5,8,4,2,7,3,6]=>[1,5,4,2,7,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,4,3,8,2,5,6,1]=>[1,6,5,2,8,3,4,7]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,7,2,8,5,6,1]=>[1,6,5,8,2,7,4,3]=>[1,6,5,2,7,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,2,3,4,8,5,6,1]=>[1,6,5,8,4,3,2,7]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,1,7,4,5,8,6,3]=>[3,6,8,5,4,7,1,2]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,8,2,6,4,1,5,3]=>[3,5,1,4,6,2,8,7]=>[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[7,2,8,4,3,5,6,1]=>[1,6,5,3,4,8,2,7]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,5,4,3,8,1,6]=>[6,1,8,3,4,5,7,2]=>[6,1,3,4,5,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[4,1,3,8,5,6,7,2]=>[2,7,6,5,8,3,1,4]=>[2,7,6,5,3,1,4]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,2,8,1,3,6,4,5]=>[5,4,6,3,1,8,2,7]=>[5,4,6,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,7]=>[2,3,1,6,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,4,8,1,2,7,3]=>[3,7,2,1,8,4,5,6]=>[3,7,2,1,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,5,1,6,2,3,8,4]=>[4,8,3,2,6,1,5,7]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,5,4,7,1,2,8,3]=>[3,8,2,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,5,3,7,1,4,8,2]=>[2,8,4,1,7,3,5,6]=>[2,4,1,7,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,3,1,5,8,7,2]=>[2,7,8,5,1,3,4,6]=>[2,7,5,1,3,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,5,3,1,2,7,8,4]=>[4,8,7,2,1,3,5,6]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,7,3,8,4,5,1,2]=>[2,1,5,4,8,3,7,6]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,5,3,8,6,7,1,2]=>[2,1,7,6,8,3,5,4]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,8,3,6,5,7,1,2]=>[2,1,7,5,6,3,8,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,4,7,1,8,2,3]=>[3,2,8,1,7,4,6,5]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,1,8,6,7,2,3]=>[3,2,7,6,8,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,8,4,5,1,6,2,3]=>[3,2,6,1,5,4,8,7]=>[3,2,6,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,4,5,1,8,2,7]=>[7,2,8,1,5,4,6,3]=>[7,2,1,5,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,6,4,8,1,5,3,7]=>[7,3,5,1,8,4,6,2]=>[7,3,5,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,8,3,6,2,7,4,5]=>[5,4,7,2,6,3,8,1]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,6,4,7,3,5,1,8]=>[8,1,5,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,7,5,8,1,4,2,3]=>[3,2,4,1,8,5,7,6]=>[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,8,6,7,2,3,1,4]=>[4,1,3,2,7,6,8,5]=>[4,1,3,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,7,2,3,1,8,4,5]=>[5,4,8,1,3,2,7,6]=>[5,4,1,3,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,2,7,5,6,1,8]=>[8,1,6,5,7,2,4,3]=>[1,6,5,7,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,3,1,8,4,7,5,6]=>[6,5,7,4,8,1,3,2]=>[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[7,8,2,3,1,6,4,5]=>[5,4,6,1,3,2,8,7]=>[5,4,6,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,7,3,6,1,8]=>[8,1,6,3,7,2,5,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,2,5,1,8,6,7]=>[7,6,8,1,5,2,4,3]=>[7,6,1,5,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[7,1,5,8,4,6,2,3]=>[3,2,6,4,8,5,1,7]=>[3,2,6,4,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6,8]=>[3,5,2,4,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6,8]=>[4,2,1,5,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6,8]=>[4,5,2,3,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,6,1,8,3,5,2,4]=>[4,2,5,3,8,1,6,7]=>[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,6,1,3,8,5,2,4]=>[4,2,5,8,3,1,6,7]=>[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,6,8,2,4,5,1,3]=>[3,1,5,4,2,8,6,7]=>[3,1,5,4,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,6,2,8,3,5,1,4]=>[4,1,5,3,8,2,6,7]=>[4,1,5,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,6,2,3,8,5,1,4]=>[4,1,5,8,3,2,6,7]=>[4,1,5,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[8,7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7,8]=>[4,3,6,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7,8]=>[4,6,3,2,5,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[8,5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5,8]=>[4,6,7,1,3,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[8,6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6,8]=>[4,5,1,7,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[8,6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6,8]=>[4,5,1,3,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[8,6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6,8]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,8,7,3,4,1,5,2]=>[2,5,1,4,3,7,8,6]=>[2,5,1,4,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[8,7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7,8]=>[4,3,6,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7,8]=>[5,3,6,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[8,4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4,8]=>[5,3,6,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[8,5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5,8]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5,8]=>[6,3,4,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,8,7,3,1,4,2,6]=>[6,2,4,1,3,7,8,5]=>[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,8,7,3,1,4,6,2]=>[2,6,4,1,3,7,8,5]=>[2,6,4,1,3,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[8,5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5,8]=>[3,6,4,1,2,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[8,5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5,8]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[8,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,8]=>[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[8,7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7,8]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[8,7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7,8]=>[5,3,6,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4,8]=>[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]=>[5,6,7,2,1,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[8,6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6,8]=>[4,5,2,7,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[8,5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5,8]=>[4,6,7,2,3,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[8,5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5,8]=>[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5,8]=>[3,6,2,1,4,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[8,1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1,8]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[8,1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1,8]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,1,5,8,4,2,7,3]=>[3,7,2,4,8,5,1,6]=>[3,7,2,4,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,8,3,6,4,1,2,7]=>[7,2,1,4,6,3,8,5]=>[7,2,1,4,6,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,2,8,6,4,1,3,7]=>[7,3,1,4,6,8,2,5]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4,8]=>[3,2,6,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[8,4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4,8]=>[3,6,2,1,5,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[8,4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4,8]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[8,7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7,8]=>[4,6,2,1,5,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[8,3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3,8]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,8,6,3,5,1,2,7]=>[7,2,1,5,3,6,8,4]=>[7,2,1,5,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,8,7,3,1,5,2,6]=>[6,2,5,1,3,7,8,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4,8]=>[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3,8]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3,8]=>[5,4,6,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[8,7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7,8]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7,8]=>[5,4,2,6,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7,8]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7,8]=>[5,6,4,2,1,3,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[8,3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3,8]=>[5,6,4,7,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3,8]=>[4,6,5,1,7,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[8,4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4,8]=>[3,6,5,1,2,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,8,7,4,1,2,5,6]=>[6,5,2,1,4,7,8,3]=>[6,5,2,1,4,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[8,7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7,8]=>[5,4,3,6,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7,8]=>[5,4,6,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7,8]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,6,5,4,1,2,8,7]=>[7,8,2,1,4,5,6,3]=>[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[5,8,1,3,7,6,4,2]=>[2,4,6,7,3,1,8,5]=>[2,4,6,7,3,1,5]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[2,1,5,8,7,6,3,4]=>[4,3,6,7,8,5,1,2]=>[4,3,6,7,5,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,7,1,5,2,8,4]=>[4,8,2,5,1,7,3,6]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,5,8,4,7,3]=>[3,7,4,8,5,6,1,2]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,8,4,7,2,1,3,6]=>[6,3,1,2,7,4,8,5]=>[6,3,1,2,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,3,8,2,4,5,7,1]=>[1,7,5,4,2,8,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,6,3,1,5,2,4,8]=>[8,4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,7,3,1,5,2,8,4]=>[4,8,2,5,1,3,7,6]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,8,3,1,5,2,7,4]=>[4,7,2,5,1,3,8,6]=>[4,7,2,5,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,8,4,5,1,2,7,3]=>[3,7,2,1,5,4,8,6]=>[3,7,2,1,5,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,7,4,5,1,2,8,3]=>[3,8,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]=>[4,3,5,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,3,6,1,5,2,4,8]=>[8,4,2,5,1,6,3,7]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,4,6,5,1,2,3,8]=>[8,3,2,1,5,6,4,7]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,7,5,4,1,2,8,3]=>[3,8,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,8,6,4,1,7,2,3]=>[3,2,7,1,4,6,8,5]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,7,6,4,1,8,2,3]=>[3,2,8,1,4,6,7,5]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,6,7,4,1,8,2,3]=>[3,2,8,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,5,7,4,1,2,8,3]=>[3,8,2,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,7,5,1,2,8,3]=>[3,8,2,1,5,7,4,6]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,1,7,5,3,8,4]=>[4,8,3,5,7,1,2,6]=>[4,3,5,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,3,8,1,5,2,7,4]=>[4,7,2,5,1,8,3,6]=>[4,7,2,5,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,4,8,5,1,2,7,3]=>[3,7,2,1,5,8,4,6]=>[3,7,2,1,5,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,5,8,4,1,2,7,3]=>[3,7,2,1,4,8,5,6]=>[3,7,2,1,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,6,8,4,1,7,2,3]=>[3,2,7,1,4,8,6,5]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,8,5,7,1,2,3]=>[3,2,1,7,5,8,6,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,5,8,6,7,1,2,3]=>[3,2,1,7,6,8,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,8,6,1,7,2,3]=>[3,2,7,1,6,8,4,5]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,8,1,6,7,2,4]=>[4,2,7,6,1,8,3,5]=>[4,2,7,6,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,2,1,8,6,7,3,4]=>[4,3,7,6,8,1,2,5]=>[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,2,1,7,6,8,3,4]=>[4,3,8,6,7,1,2,5]=>[4,3,6,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,4,7,6,1,8,2,3]=>[3,2,8,1,6,7,4,5]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,7,6,8,1,2,3]=>[3,2,1,8,6,7,5,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,6,7,5,8,1,2,3]=>[3,2,1,8,5,7,6,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,8,6,5,7,1,2,3]=>[3,2,1,7,5,6,8,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,8,5,6,7,1,2,3]=>[3,2,1,7,6,5,8,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,7,5,6,8,1,2,3]=>[3,2,1,8,6,5,7,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,5,7,8,1,2,3]=>[3,2,1,8,7,5,6,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,7,4,6,1,8,2,3]=>[3,2,8,1,6,4,7,5]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,8,4,6,1,7,2,3]=>[3,2,7,1,6,4,8,5]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,8,3,1,6,7,2,4]=>[4,2,7,6,1,3,8,5]=>[4,2,7,6,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,7,3,1,6,8,2,4]=>[4,2,8,6,1,3,7,5]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,3,1,7,8,2,4]=>[4,2,8,7,1,3,6,5]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,2,1,4,3,8,7,5]=>[5,7,8,3,4,1,2,6]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,8,3,1,7,6,2,4]=>[4,2,6,7,1,3,8,5]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,7,4,8,1,6,2,3]=>[3,2,6,1,8,4,7,5]=>[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,2,1,6,8,7,3,4]=>[4,3,7,8,6,1,2,5]=>[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,4,6,8,1,7,2,3]=>[3,2,7,1,8,6,4,5]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,7,5,8,6,1,2,3]=>[3,2,1,6,8,5,7,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,8,5,7,6,1,2,3]=>[3,2,1,6,7,5,8,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,8,6,7,5,1,2,3]=>[3,2,1,5,7,6,8,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,7,6,8,5,1,2,3]=>[3,2,1,5,8,6,7,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,6,7,8,5,1,2,3]=>[3,2,1,5,8,7,6,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,5,7,8,6,1,2,3]=>[3,2,1,6,8,7,5,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,7,8,1,6,2,3]=>[3,2,6,1,8,7,4,5]=>[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,7,1,8,6,2,4]=>[4,2,6,8,1,7,3,5]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,1,7,8,6,3,4]=>[4,3,6,8,7,1,2,5]=>[4,3,6,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,3,8,1,7,6,2,4]=>[4,2,6,7,1,8,3,5]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,4,8,7,1,6,2,3]=>[3,2,6,1,7,8,4,5]=>[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,8,7,5,1,2,3]=>[3,2,1,5,7,8,6,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,7,8,6,5,1,2,3]=>[3,2,1,5,6,8,7,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,2,8,3,6,4,7,5]=>[5,7,4,6,3,8,2,1]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,5,3,8,1,6,4,7]=>[7,4,6,1,8,3,5,2]=>[7,4,6,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,4,7,1,5,3,8]=>[8,3,5,1,7,4,6,2]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,5,7,1,4,3,8]=>[8,3,4,1,7,5,6,2]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,8,5,7,2,6,4,1]=>[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,4,8,6,1,2,5,7]=>[7,5,2,1,6,8,4,3]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,5,7,1,4,8,6,3]=>[3,6,8,4,1,7,5,2]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,4,8,1,5,7,6,3]=>[3,6,7,5,1,8,4,2]=>[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[2,4,3,8,1,6,5,7]=>[7,5,6,1,8,3,4,2]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,8,1,7,5,6,4,3]=>[3,4,6,5,7,1,8,2]=>[3,4,6,5,7,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[2,3,8,1,6,5,7,4]=>[4,7,5,6,1,8,3,2]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,4,8,1,3,5,7,6]=>[6,7,5,3,1,8,4,2]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,5,7,6,1,2,4,8]=>[8,4,2,1,6,7,5,3]=>[4,2,1,6,7,5,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,5,7,6,2,4,8,1]=>[1,8,4,2,6,7,5,3]=>[1,4,2,6,7,5,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,8,6,7,2,3,5,1]=>[1,5,3,2,7,6,8,4]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,8,6,7,1,2,3,5]=>[5,3,2,1,7,6,8,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,8,6,7,1,3,5,2]=>[2,5,3,1,7,6,8,4]=>[2,5,3,1,7,6,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,4,8,6,1,5,7,2]=>[2,7,5,1,6,8,4,3]=>[2,7,5,1,6,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,8,5,7,1,6,4,2]=>[2,4,6,1,7,5,8,3]=>[2,4,6,1,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,8,5,6,1,7,4]=>[4,7,1,6,5,8,2,3]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,8,5,7,2,1,6,4]=>[4,6,1,2,7,5,8,3]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,4,8,6,2,1,5,7]=>[7,5,1,2,6,8,4,3]=>[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,7,6,2,1,4,8]=>[8,4,1,2,6,7,5,3]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[4,8,6,7,2,1,3,5]=>[5,3,1,2,7,6,8,4]=>[5,3,1,2,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,8,6,7,3,5,2,1]=>[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,8,6,7,3,4,2,1]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,8,6,7,2,1,3,4]=>[4,3,1,2,7,6,8,5]=>[4,3,1,2,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,8,6,7,2,1,4,3]=>[3,4,1,2,7,6,8,5]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,8,6,7,2,1,5,3]=>[3,5,1,2,7,6,8,4]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,1,7,5,2,8,6]=>[6,8,2,5,7,1,3,4]=>[6,2,5,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,2,8,5,1,7,6]=>[6,7,1,5,8,2,3,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,8,5,1,6,7,2]=>[2,7,6,1,5,8,3,4]=>[2,7,6,1,5,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,8,6,7,1,5,3,2]=>[2,3,5,1,7,6,8,4]=>[2,3,5,1,7,6,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,8,6,7,1,4,3,2]=>[2,3,4,1,7,6,8,5]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,8,6,7,2,3,4,1]=>[1,4,3,2,7,6,8,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,8,6,7,2,4,3,1]=>[1,3,4,2,7,6,8,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,8,6,7,1,2,4,3]=>[3,4,2,1,7,6,8,5]=>[3,4,2,1,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,3,8,5,1,6,7]=>[7,6,1,5,8,3,2,4]=>[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,2,8,5,1,7,6,3]=>[3,6,7,1,5,8,2,4]=>[3,6,7,1,5,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,8,5,6,1,7]=>[7,1,6,5,8,2,4,3]=>[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,2,4,8,6,1,5,7]=>[7,5,1,6,8,4,2,3]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,2,5,7,6,1,4,8]=>[8,4,1,6,7,5,2,3]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,8,6,7,1,3,2,5]=>[5,2,3,1,7,6,8,4]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,8,6,7,1,2,5,3]=>[3,5,2,1,7,6,8,4]=>[3,5,2,1,7,6,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,8,6,7,2,5,3,1]=>[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,6,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,3,8,5,2,6,7,1]=>[1,7,6,2,5,8,3,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,3,8,5,1,2,6,7]=>[7,6,2,1,5,8,3,4]=>[7,6,2,1,5,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,2,6,7,5,1,3,8]=>[8,3,1,5,7,6,2,4]=>[3,1,5,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,8,5,7,1,4,2,6]=>[6,2,4,1,7,5,8,3]=>[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,8,4,7,1,5,2,6]=>[6,2,5,1,7,4,8,3]=>[6,2,5,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,2,8,4,6,1,7]=>[7,1,6,4,8,2,5,3]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,1,7,4,6,2,8]=>[8,2,6,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,8,4,7,2,5,1,6]=>[6,1,5,2,7,4,8,3]=>[6,1,5,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,3,8,5,2,6,7]=>[7,6,2,5,8,3,1,4]=>[7,6,2,5,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,2,6,7,5,3,8]=>[8,3,5,7,6,2,1,4]=>[3,5,7,6,2,1,4]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[4,2,6,7,5,3,8,1]=>[1,8,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,8,6,7,3,2,5,1]=>[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,8,6,7,3,1,2,5]=>[5,2,1,3,7,6,8,4]=>[5,2,1,3,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,1,5,7,6,2,4,8]=>[8,4,2,6,7,5,1,3]=>[4,2,6,7,5,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,4,1,7,5,6,2,8]=>[8,2,6,5,7,1,4,3]=>[2,6,5,7,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,7,5,2,8,6,3]=>[3,6,8,2,5,7,1,4]=>[3,6,2,5,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,6,7,5,2,3,8]=>[8,3,2,5,7,6,1,4]=>[3,2,5,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,8,6,7,2,3,1,5]=>[5,1,3,2,7,6,8,4]=>[5,1,3,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,8,6,7,3,2,4,1]=>[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,8,6,7,4,2,3,1]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,8,6,7,4,1,2,3]=>[3,2,1,4,7,6,8,5]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,8,6,7,4,1,3,2]=>[2,3,1,4,7,6,8,5]=>[2,3,1,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,8,6,7,3,1,4,2]=>[2,4,1,3,7,6,8,5]=>[2,4,1,3,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,8,6,7,3,1,5,2]=>[2,5,1,3,7,6,8,4]=>[2,5,1,3,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,6,7,5,3,8,2]=>[2,8,3,5,7,6,1,4]=>[2,3,5,7,6,1,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[4,1,7,5,3,2,8,6]=>[6,8,2,3,5,7,1,4]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,2,8,5,3,1,7,6]=>[6,7,1,3,5,8,2,4]=>[6,7,1,3,5,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,1,6,7,5,3,8]=>[8,3,5,7,6,1,2,4]=>[3,5,7,6,1,2,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,8,6,7,3,2,1,5]=>[5,1,2,3,7,6,8,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,8,6,7,4,2,1,3]=>[3,1,2,4,7,6,8,5]=>[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,8,6,7,4,3,1,2]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[2,5,4,3,6,8,1,7]=>[7,1,8,6,3,4,5,2]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[8,3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3,8]=>[1,6,2,5,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,7,8,4,3,6,2]=>[2,6,3,4,8,7,1,5]=>[2,6,3,4,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,3,5,8,6,2,4]=>[4,2,6,8,5,3,7,1]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,8,1,5,7,2,4]=>[4,2,7,5,1,8,6,3]=>[4,2,7,5,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,5,8,3,1,6,2]=>[2,6,1,3,8,5,7,4]=>[2,6,1,3,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,7,8,2,3,1,6,5]=>[5,6,1,3,2,8,7,4]=>[5,6,1,3,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,8,4,2,1,6,5,3]=>[3,5,6,1,2,4,8,7]=>[3,5,6,1,2,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,8,4,2,1,5,6,3]=>[3,6,5,1,2,4,8,7]=>[3,6,5,1,2,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,2,3,4,8,7,1,5]=>[5,1,7,8,4,3,2,6]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,2,3,4,7,8,1,5]=>[5,1,8,7,4,3,2,6]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,8,3,4,6,2,1,5]=>[5,1,2,6,4,3,8,7]=>[5,1,2,6,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,8,3,6,4,2,1,5]=>[5,1,2,4,6,3,8,7]=>[5,1,2,4,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,8,3,5,6,2,1,4]=>[4,1,2,6,5,3,8,7]=>[4,1,2,6,5,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,2,3,8,7,5,1,4]=>[4,1,5,7,8,3,2,6]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,2,3,7,8,5,1,4]=>[4,1,5,8,7,3,2,6]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,2,6,3,8,1,7,4]=>[4,7,1,8,3,6,2,5]=>[4,7,1,3,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,2,5,8,7,1,4]=>[4,1,7,8,5,2,3,6]=>[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,3,2,8,4,7,1,5]=>[5,1,7,4,8,2,3,6]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,4,3,8,7,5,1,2]=>[2,1,5,7,8,3,4,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,3,7,8,5,1,2]=>[2,1,5,8,7,3,4,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,2,4,1,7,3,5,8]=>[8,5,3,7,1,4,2,6]=>[5,3,7,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,3,2,7,4,8,1,5]=>[5,1,8,4,7,2,3,6]=>[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,3,2,5,7,8,1,4]=>[4,1,8,7,5,2,3,6]=>[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,2,3,6,1,8,4]=>[4,8,1,6,3,2,7,5]=>[4,1,6,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,8,2,3,6,1,7,4]=>[4,7,1,6,3,2,8,5]=>[4,7,1,6,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,5,8,3,2,1,6]=>[6,1,2,3,8,5,7,4]=>[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,5,6,8,3,2,1,7]=>[7,1,2,3,8,6,5,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,6,8,5,3,2,1,7]=>[7,1,2,3,5,8,6,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,6,1,4,2,3,7,8]=>[8,7,3,2,4,1,6,5]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,8,4,3,7,1,2]=>[2,1,7,3,4,8,6,5]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,1,4,2,3,8,7]=>[7,8,3,2,4,1,6,5]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,8,3,4,1,7,6]=>[6,7,1,4,3,8,2,5]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,8,6,3,2,1,7]=>[7,1,2,3,6,8,5,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,6,5,8,3,2,1,7]=>[7,1,2,3,8,5,6,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,7,5,6,3,2,1,8]=>[8,1,2,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,2,3,4,5,8,1,7]=>[7,1,8,5,4,3,2,6]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,1,4,3,6,2,8,7]=>[7,8,2,6,3,4,1,5]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,1,4,3,7,2,8,6]=>[6,8,2,7,3,4,1,5]=>[6,2,7,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,1,4,3,8,2,7,6]=>[6,7,2,8,3,4,1,5]=>[6,7,2,3,4,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,6,2,4,1,7,8,3]=>[3,8,7,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,4,1,8,7,3]=>[3,7,8,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,2,4,1,8,6,3]=>[3,6,8,1,4,2,7,5]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,1,4,2,8,7,5,3]=>[3,5,7,8,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,1,4,2,7,8,5,3]=>[3,5,8,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,8,2,4,1,7,6,3]=>[3,6,7,1,4,2,8,5]=>[3,6,7,1,4,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,7,4,1,6,8,3]=>[3,8,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,1,3,7,2,6,8]=>[8,6,2,7,3,1,4,5]=>[6,2,7,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,8,6,4,3,7,1,2]=>[2,1,7,3,4,6,8,5]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,8,1,4,2,3,7,6]=>[6,7,3,2,4,1,8,5]=>[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,6,3,4,2,7,8]=>[8,7,2,4,3,6,1,5]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,8,6,5,3,2,1,7]=>[7,1,2,3,5,6,8,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,8,5,6,3,2,1,7]=>[7,1,2,3,6,5,8,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,4,7,8,3,2,1,6]=>[6,1,2,3,8,7,4,5]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,8,7,3,2,1,6]=>[6,1,2,3,7,8,4,5]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[4,6,8,7,3,2,1,5]=>[5,1,2,3,7,8,6,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,6,7,8,3,2,1,5]=>[5,1,2,3,8,7,6,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,7,6,8,3,2,1,5]=>[5,1,2,3,8,6,7,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,7,8,5,3,2,1,6]=>[6,1,2,3,5,8,7,4]=>[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,7,1,3,4,2,6,8]=>[8,6,2,4,3,1,7,5]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,8,4,2,3,6,7]=>[7,6,3,2,4,8,1,5]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,1,7,4,2,3,6,8]=>[8,6,3,2,4,7,1,5]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,8,1,3,4,2,6,7]=>[7,6,2,4,3,1,8,5]=>[7,6,2,4,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,8,7,5,3,2,1,6]=>[6,1,2,3,5,7,8,4]=>[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,7,8,6,3,2,1,5]=>[5,1,2,3,6,8,7,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[7,3,8,1,5,4,6,2]=>[2,6,4,5,1,8,3,7]=>[2,6,4,5,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,3,7,8,5,2,1,6]=>[6,1,2,5,8,7,3,4]=>[6,1,2,5,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[6,5,4,3,8,2,1,7]=>[7,1,2,8,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[4,6,8,3,7,2,5,1]=>[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,3,2,1,7,8,4,5]=>[5,4,8,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[8,6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6,8]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,8,4,3,2,1,6,7]=>[7,6,1,2,3,4,8,5]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,4,7,3,2,1,8,5]=>[5,8,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,7,3,2,1,6,8]=>[8,6,1,2,3,7,4,5]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,5,3,7,2,1,4,8]=>[8,4,1,2,7,3,5,6]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,8,3,6,2,1,4,7]=>[7,4,1,2,6,3,8,5]=>[7,4,1,2,6,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,3,7,8,2,1,4,5]=>[5,4,1,2,8,7,3,6]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,3,7,6,2,1,4,8]=>[8,4,1,2,6,7,3,5]=>[4,1,2,6,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,8,7,6,2,1,4,5]=>[5,4,1,2,6,7,8,3]=>[5,4,1,2,6,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,8,4,2,6,1,3,7]=>[7,3,1,6,2,4,8,5]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,8,7,2,5,1,3,6]=>[6,3,1,5,2,7,8,4]=>[6,3,1,5,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,8,3,2,6,1,4,7]=>[7,4,1,6,2,3,8,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,8,3,2,5,1,7,6]=>[6,7,1,5,2,3,8,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,2,5,1,8,6]=>[6,8,1,5,2,7,3,4]=>[6,1,5,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,8,7,2,5,1,4,6]=>[6,4,1,5,2,7,8,3]=>[6,4,1,5,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,2,7,5,1,3,8]=>[8,3,1,5,7,2,4,6]=>[3,1,5,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,3,2,7,5,1,4,8]=>[8,4,1,5,7,2,3,6]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,3,2,6,7,1,4,8]=>[8,4,1,7,6,2,3,5]=>[4,1,7,6,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,8,2,6,5,1,4,7]=>[7,4,1,5,6,2,8,3]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,7,8,5,1,3,4]=>[4,3,1,5,8,7,2,6]=>[4,3,1,5,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,2,7,6,8,1,3,4]=>[4,3,1,8,6,7,2,5]=>[4,3,1,6,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,2,7,6,5,1,3,8]=>[8,3,1,5,6,7,2,4]=>[3,1,5,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,8,7,6,5,1,3,4]=>[4,3,1,5,6,7,8,2]=>[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,5,4,3,1,7,8,2]=>[2,8,7,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,7,3,1,5,8,2]=>[2,8,5,1,3,7,4,6]=>[2,5,1,3,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,4,7,3,1,8,6,2]=>[2,6,8,1,3,7,4,5]=>[2,6,1,3,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,4,3,7,1,5,8,2]=>[2,8,5,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,3,6,1,8,7,2]=>[2,7,8,1,6,3,4,5]=>[2,7,1,6,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,8,1,4,5,2]=>[2,5,4,1,8,7,3,6]=>[2,5,4,1,7,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,3,7,6,1,4,8,2]=>[2,8,4,1,6,7,3,5]=>[2,4,1,6,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,6,1,5,8,2]=>[2,8,5,1,6,7,3,4]=>[2,5,1,6,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,8,7,6,1,4,5,2]=>[2,5,4,1,6,7,8,3]=>[2,5,4,1,6,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,5,4,2,1,7,3,8]=>[8,3,7,1,2,4,5,6]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,7,2,1,5,3,8]=>[8,3,5,1,2,7,4,6]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,8,7,2,1,5,3,6]=>[6,3,5,1,2,7,8,4]=>[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,8,3,2,1,4,7,6]=>[6,7,4,1,2,3,8,5]=>[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,8,3,2,1,5,7,6]=>[6,7,5,1,2,3,8,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,7,2,1,4,8,6]=>[6,8,4,1,2,7,3,5]=>[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,8,7,2,1,4,5,6]=>[6,5,4,1,2,7,8,3]=>[6,5,4,1,2,7,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,5,2,7,1,4,3,8]=>[8,3,4,1,7,2,5,6]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,8,2,6,1,4,3,7]=>[7,3,4,1,6,2,8,5]=>[7,3,4,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,4,2,7,1,5,3,8]=>[8,3,5,1,7,2,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,2,6,1,8,3,7]=>[7,3,8,1,6,2,4,5]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,3,2,6,1,5,8,7]=>[7,8,5,1,6,2,3,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,2,7,8,1,4,3,5]=>[5,3,4,1,8,7,2,6]=>[5,3,4,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,2,7,6,1,5,3,8]=>[8,3,5,1,6,7,2,4]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,6,1,4,5,8]=>[8,5,4,1,6,7,2,3]=>[5,4,1,6,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,5,4,1,8,7,3,2]=>[2,3,7,8,1,4,5,6]=>[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,8,4,1,6,7,3,2]=>[2,3,7,6,1,4,8,5]=>[2,3,7,6,1,4,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,4,7,1,5,8,3,2]=>[2,3,8,5,1,7,4,6]=>[2,3,5,1,7,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,7,1,6,8,3,2]=>[2,3,8,6,1,7,4,5]=>[2,3,6,1,7,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,8,7,1,5,6,3,2]=>[2,3,6,5,1,7,8,4]=>[2,3,6,5,1,7,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,4,3,1,6,8,7,2]=>[2,7,8,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,8,3,1,5,6,7,2]=>[2,7,6,5,1,3,8,4]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,8,7,1,5,4,6,2]=>[2,6,4,5,1,7,8,3]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,8,2,1,6,4,3,7]=>[7,3,4,6,1,2,8,5]=>[7,3,4,6,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,3,2,1,5,4,8,7]=>[7,8,4,5,1,2,3,6]=>[7,4,5,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,3,2,1,6,4,8,7]=>[7,8,4,6,1,2,3,5]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,8,2,1,5,4,6,7]=>[7,6,4,5,1,2,8,3]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,2,7,1,5,4,3,8]=>[8,3,4,5,1,7,2,6]=>[3,4,5,1,7,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,7,1,6,4,3,8]=>[8,3,4,6,1,7,2,5]=>[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,7,1,5,6,3,8]=>[8,3,6,5,1,7,2,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,7,1,5,4,6,8]=>[8,6,4,5,1,7,2,3]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,8,7,1,5,4,3,6]=>[6,3,4,5,1,7,8,2]=>[6,3,4,5,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,1,7,8,4,3,2]=>[2,3,4,8,7,1,5,6]=>[2,3,4,7,1,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,8,1,6,7,4,3,2]=>[2,3,4,7,6,1,8,5]=>[2,3,4,7,6,1,5]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,4,1,7,5,8,3,2]=>[2,3,8,5,7,1,4,6]=>[2,3,5,7,1,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,4,1,6,7,8,3,2]=>[2,3,8,7,6,1,4,5]=>[2,3,7,6,1,4,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,8,1,6,5,7,3,2]=>[2,3,7,5,6,1,8,4]=>[2,3,7,5,6,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,3,1,7,5,4,8,2]=>[2,8,4,5,7,1,3,6]=>[2,4,5,7,1,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,3,1,6,7,4,8,2]=>[2,8,4,7,6,1,3,5]=>[2,4,7,6,1,3,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,3,1,6,5,7,8,2]=>[2,8,7,5,6,1,3,4]=>[2,7,5,6,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,8,1,6,5,4,7,2]=>[2,7,4,5,6,1,8,3]=>[2,7,4,5,6,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,2,1,6,7,4,3,8]=>[8,3,4,7,6,1,2,5]=>[3,4,7,6,1,2,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,2,1,6,5,7,3,8]=>[8,3,7,5,6,1,2,4]=>[3,7,5,6,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,8,1,6,5,4,3,7]=>[7,3,4,5,6,1,8,2]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,1,7,8,5,4,3,2]=>[2,3,4,5,8,7,1,6]=>[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,1,7,6,5,8,3,2]=>[2,3,8,5,6,7,1,4]=>[2,3,5,6,7,1,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,1,7,6,5,4,8,2]=>[2,8,4,5,6,7,1,3]=>[2,4,5,6,7,1,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,4,1,8,5,2,3,6]=>[6,3,2,5,8,1,4,7]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,4,2,8,3,6,5]=>[5,6,3,8,2,4,1,7]=>[5,6,3,2,4,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,8,2,5,3,6,4]=>[4,6,3,5,2,8,1,7]=>[4,6,3,5,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,8,6,3,7,4,5]=>[5,4,7,3,6,8,1,2]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6,8]=>[3,4,7,2,5,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[8,5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5,8]=>[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,7,5,4,3,8,6]=>[6,8,3,4,5,7,1,2]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,1,8,4,5,3,6,7]=>[7,6,3,5,4,8,1,2]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,1,7,8,3,6,5,4]=>[4,5,6,3,8,7,1,2]=>[4,5,6,3,7,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,8,5,7,6,3,4]=>[4,3,6,7,5,8,1,2]=>[4,3,6,7,5,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,1,4,8,5,7,3,6]=>[6,3,7,5,8,4,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,1,5,4,6,8,3,7]=>[7,3,8,6,4,5,1,2]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5,8]=>[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,5,1,4,6,8,3,2]=>[2,3,8,6,4,1,5,7]=>[2,3,6,4,1,5,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,4,1,5,2,3,8,7]=>[7,8,3,2,5,1,4,6]=>[7,3,2,5,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3,8]=>[4,1,6,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,3,7,4,6,8,1,2]=>[2,1,8,6,4,7,3,5]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,8,3,7,6,2,1,4]=>[4,1,2,6,7,3,8,5]=>[4,1,2,6,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,4,8,6,3,1,7]=>[7,1,3,6,8,4,2,5]=>[7,1,3,6,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,2,6,3,8,5,1,7]=>[7,1,5,8,3,6,2,4]=>[7,1,5,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,8,2,4,7,5,1,6]=>[6,1,5,7,4,2,8,3]=>[6,1,5,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,8,7,5,4,1,2]=>[2,1,4,5,7,8,6,3]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[8,5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5,8]=>[3,1,6,4,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,8,2,1,7,6,4,3]=>[3,4,6,7,1,2,8,5]=>[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,3,8,1,5,7,4,2]=>[2,4,7,5,1,8,3,6]=>[2,4,7,5,1,3,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[8,3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3,8]=>[6,5,7,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,2,4,3,1,5,8,6]=>[6,8,5,1,3,4,2,7]=>[6,5,1,3,4,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,8,3,1,5,4,6,2]=>[2,6,4,5,1,3,8,7]=>[2,6,4,5,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,8,1,4,6,5,3]=>[3,5,6,4,1,8,2,7]=>[3,5,6,4,1,2,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,2,3,1,4,5,8,7]=>[7,8,5,4,1,3,2,6]=>[7,5,4,1,3,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,1,4,3,2,8,7]=>[7,8,2,3,4,1,6,5]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,7,1,8,3,6,2,4]=>[4,2,6,3,8,1,7,5]=>[4,2,6,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,8,1,4,5,3,2,7]=>[7,2,3,5,4,1,8,6]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,1,5,4,3,8,2]=>[2,8,3,4,5,1,7,6]=>[2,3,4,5,1,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[8,7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7,8]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,5,7,1,3,8,2,4]=>[4,2,8,3,1,7,5,6]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2,8]=>[5,3,7,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,8,1,6,3,7,4,2]=>[2,4,7,3,6,1,8,5]=>[2,4,7,3,6,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[8,3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3,8]=>[2,4,7,1,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,5,4,8,2,1,3,6]=>[6,3,1,2,8,4,5,7]=>[6,3,1,2,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,3,6,5,4,1,8,2]=>[2,8,1,4,5,6,3,7]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[8,3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3,8]=>[7,2,1,5,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[7,3,5,8,1,6,2,4]=>[4,2,6,1,8,5,3,7]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,3,5,4,1,2,8,7]=>[7,8,2,1,4,5,3,6]=>[7,2,1,4,5,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,3,5,1,4,8,7]=>[7,8,4,1,5,3,6,2]=>[7,4,1,5,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,7,8,5,1,6,4,3]=>[3,4,6,1,5,8,7,2]=>[3,4,6,1,5,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[8,7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7,8]=>[2,4,1,5,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,8,3,4,6,1,5,7]=>[7,5,1,6,4,3,8,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,7,4,3,6,1,8,5]=>[5,8,1,6,3,4,7,2]=>[5,1,6,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,4,7,2,8,1,5,6]=>[6,5,1,8,2,7,4,3]=>[6,5,1,2,7,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,3,2,5,7,1,8,6]=>[6,8,1,7,5,2,3,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,2,3,5,8,1,6,7]=>[7,6,1,8,5,3,2,4]=>[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,2,8,4,7,1,6,5]=>[5,6,1,7,4,8,2,3]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[8,2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2,8]=>[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,8,4,7,1,6,5,2]=>[2,5,6,1,7,4,8,3]=>[2,5,6,1,7,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,4,6,1,5,8,7]=>[7,8,5,1,6,4,2,3]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[8,3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3,8]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,8,4,6,5,7,1,3]=>[3,1,7,5,6,4,8,2]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,3,8,4,6,7,1,5]=>[5,1,7,6,4,8,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,8,7,1,6]=>[6,1,7,8,5,3,4,2]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,2,4,5,6,8,1,7]=>[7,1,8,6,5,4,2,3]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,5,1,6,8,2,7,4]=>[4,7,2,8,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,7,1,5,6,8,3]=>[3,8,6,5,1,7,4,2]=>[3,6,5,1,7,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,6,3,7,5,8,2,4]=>[4,2,8,5,7,3,6,1]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,5,4,8,1,6,2]=>[2,6,1,8,4,5,7,3]=>[2,6,1,4,5,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,5,1,6,2,8,3,4]=>[4,3,8,2,6,1,5,7]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,6,1,5,8,2,3,7]=>[7,3,2,8,5,1,6,4]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,8,5,4,3,2,7,1]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,9,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,8,5,4,3,7,2,1]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]=>[2,6,1,3,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[9,7,6,5,4,3,1,8,2]=>[2,8,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,5,7,4,1,8,6,3]=>[3,6,8,1,4,7,5,2]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,4,3,1,7,8,5,2]=>[2,5,8,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,7,2,8,4,5,1]=>[1,5,4,8,2,7,3,6]=>[1,5,4,2,7,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,3,7,2,8,4,1,5]=>[5,1,4,8,2,7,3,6]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,3,7,8,5,2,1,4]=>[4,1,2,5,8,7,3,6]=>[4,1,2,5,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[8,1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1,8]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,2,7,4,1,8,6]=>[6,8,1,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,3,7,1,6,2,8,4]=>[4,8,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4,8]=>[7,3,5,6,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[8,6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6,8]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,7,1,6,5,8,3,2]=>[2,3,8,5,6,1,7,4]=>[2,3,5,6,1,7,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,8,7,6,3,1,2]=>[2,1,3,6,7,8,4,5]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,3,8,2,7,4,1,5]=>[5,1,4,7,2,8,3,6]=>[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,1,7,8,4,2,6]=>[6,2,4,8,7,1,5,3]=>[6,2,4,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,2,8,1,5,6,7,3]=>[3,7,6,5,1,8,2,4]=>[3,7,6,5,1,2,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,5,6,2,8,4,1,7]=>[7,1,4,8,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,7,8,4,1,6,2]=>[2,6,1,4,8,7,5,3]=>[2,6,1,4,7,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,7,8,2,4,5,6,1]=>[1,6,5,4,2,8,7,3]=>[1,6,5,4,2,7,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,1,5,7,3,8,6,2]=>[2,6,8,3,7,5,1,4]=>[2,6,3,7,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]
[5,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]
[4,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]
[3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[8,10,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[6,9,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[7,10,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]
[4,8,6,5,7,3,2,1]=>[1,2,3,7,5,6,8,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[5,9,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[6,10,9,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]
[3,8,7,5,4,6,2,1]=>[1,2,6,4,5,7,8,3]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[4,9,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[5,10,9,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]
[2,8,7,6,4,3,5,1]=>[1,5,3,4,6,7,8,2]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[3,8,7,4,5,6,2,1]=>[1,2,6,5,4,7,8,3]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[3,9,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,9,3]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[4,10,9,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]
[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,9,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,9,2]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[3,10,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]
[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[3,6,1,8,5,2,7,4]=>[4,7,2,5,8,1,6,3]=>[4,7,2,5,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,4,2,6,3,8]=>[8,3,6,2,4,7,5,1]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,2,8,4,1,7,6,3]=>[3,6,7,1,4,8,2,5]=>[3,6,7,1,4,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,8,3,4,5,1,7,2]=>[2,7,1,5,4,3,8,6]=>[2,7,1,5,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,1,4,7,2,8,5]=>[5,8,2,7,4,1,3,6]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[8,5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5,8]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,2,1,7,5,8,4]=>[4,8,5,7,1,2,6,3]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,7,2,6,5,8,1,3]=>[3,1,8,5,6,2,7,4]=>[3,1,5,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,5,2,4,8,7,6,3]=>[3,6,7,8,4,2,5,1]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,4,2,5,8,7,3,6]=>[6,3,7,8,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,2,6,4,8,3,7,5]=>[5,7,3,8,4,6,2,1]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[1,2,6,8,5,3,7,4]=>[4,7,3,5,8,6,2,1]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[2,6,1,5,4,8,3,7]=>[7,3,8,4,5,1,6,2]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,2,6,1,7,8,4,3]=>[3,4,8,7,1,6,2,5]=>[3,4,7,1,6,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,1,6,2,8,7,3,4]=>[4,3,7,8,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,2,4,1,7,8,6,3]=>[3,6,8,7,1,4,2,5]=>[3,6,7,1,4,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,2,3,4,5,9,7,6,8]=>[8,6,7,9,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,2,3,4,9,6,5,7,8]=>[8,7,5,6,9,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,2,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,2,3,9,5,4,6,7,8]=>[8,7,6,4,5,9,3,2,1]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[1,2,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,2,9,4,3,5,6,7,8]=>[8,7,6,5,3,4,9,2,1]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[1,2,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,9,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,9,1]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[1,2,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[8,3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[8,3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,8,1,3,2,5,4,7]=>[7,4,5,2,3,1,8,6]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,8,1,4,2,5,3,7]=>[7,3,5,2,4,1,8,6]=>[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,8,3,6,1,4,2,5]=>[5,2,4,1,6,3,8,7]=>[5,2,4,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,2,5,3,6,1,4]=>[4,1,6,3,5,2,8,7]=>[4,1,6,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,8,2,5,1,4,3,6]=>[6,3,4,1,5,2,8,7]=>[6,3,4,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,1,4,3,6,2,5]=>[5,2,6,3,4,1,8,7]=>[5,2,6,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,8,1,4,3,7,2,6]=>[6,2,7,3,4,1,8,5]=>[6,2,7,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,8,2,5,1,4,3,7]=>[7,3,4,1,5,2,8,6]=>[7,3,4,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,2,5,3,7,1,4]=>[4,1,7,3,5,2,8,6]=>[4,1,7,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,8,2,5,4,7,1,3]=>[3,1,7,4,5,2,8,6]=>[3,1,7,4,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,4,7,6,8,1,3]=>[3,1,8,6,7,4,5,2]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,5,3,7,6,8,1,4]=>[4,1,8,6,7,3,5,2]=>[4,1,6,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,5,1,4,3,7,6,8]=>[8,6,7,3,4,1,5,2]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,1,4,3,7,5,8]=>[8,5,7,3,4,1,6,2]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,5,8,1,4,3,7]=>[7,3,4,1,8,5,6,2]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,1,5,3,7,4,8]=>[8,4,7,3,5,1,6,2]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,3,7,4,8,1,5]=>[5,1,8,4,7,3,6,2]=>[5,1,4,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,6,4,7,5,8,1,3]=>[3,1,8,5,7,4,6,2]=>[3,1,5,7,4,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,8,3,6,4,7,1,2]=>[2,1,7,4,6,3,8,5]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,8,2,6,4,7,1,3]=>[3,1,7,4,6,2,8,5]=>[3,1,7,4,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,8,2,6,3,7,1,5]=>[5,1,7,3,6,2,8,4]=>[5,1,7,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,8,1,5,3,7,2,6]=>[6,2,7,3,5,1,8,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,8,1,5,2,6,3,7]=>[7,3,6,2,5,1,8,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,8,3,7,1,5,2,6]=>[6,2,5,1,7,3,8,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,3,7,1,4,2,5]=>[5,2,4,1,7,3,8,6]=>[5,2,4,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,8,1,3,2,6,4,7]=>[7,4,6,2,3,1,8,5]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,8,4,7,1,3,2,6]=>[6,2,3,1,7,4,8,5]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,4,7,1,3,2,5]=>[5,2,3,1,7,4,8,6]=>[5,2,3,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,8,5,7,1,3,2,4]=>[4,2,3,1,7,5,8,6]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,6,8,2,4,1,3]=>[3,1,4,2,8,6,7,5]=>[3,1,4,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,6,8,1,3,2,5]=>[5,2,3,1,8,6,7,4]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,7,5,8,1,3,2,6]=>[6,2,3,1,8,5,7,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,7,1,3,2,6,5,8]=>[8,5,6,2,3,1,7,4]=>[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,4,2,6,5,8]=>[8,5,6,2,4,1,7,3]=>[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,5,8,1,4,2,6]=>[6,2,4,1,8,5,7,3]=>[6,2,4,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,6,8,1,4,2,5]=>[5,2,4,1,8,6,7,3]=>[5,2,4,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,6,8,2,5,1,4]=>[4,1,5,2,8,6,7,3]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,6,8,2,5,1,3]=>[3,1,5,2,8,6,7,4]=>[3,1,5,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,5,8,3,6,1,2]=>[2,1,6,3,8,5,7,4]=>[2,1,6,3,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,5,8,2,6,1,3]=>[3,1,6,2,8,5,7,4]=>[3,1,6,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,5,8,2,6,1,4]=>[4,1,6,2,8,5,7,3]=>[4,1,6,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,4,8,2,6,1,5]=>[5,1,6,2,8,4,7,3]=>[5,1,6,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,4,8,1,5,2,6]=>[6,2,5,1,8,4,7,3]=>[6,2,5,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,1,5,2,6,4,8]=>[8,4,6,2,5,1,7,3]=>[4,6,2,5,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,2,6,1,5,4,8]=>[8,4,5,1,6,2,7,3]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,2,6,5,8,1,4]=>[4,1,8,5,6,2,7,3]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,6,5,8,1,2]=>[2,1,8,5,6,3,7,4]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,8,4,7,1,2]=>[2,1,7,4,8,5,6,3]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,6,5,8,4,7,1,3]=>[3,1,7,4,8,5,6,2]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,6,5,8,3,7,1,4]=>[4,1,7,3,8,5,6,2]=>[4,1,7,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,6,3,7,1,5,4,8]=>[8,4,5,1,7,3,6,2]=>[4,5,1,7,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]=>[1,3,5,2,4,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,4,3,8,2,5,1]=>[1,5,2,8,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,4,8,5,2,3,1]=>[1,3,2,5,8,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,4,3,7,2,1,5]=>[5,1,2,7,3,4,8,6]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,4,3,5,1,8,2]=>[2,8,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,5,4,8,2,1]=>[1,2,8,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,8,3,7,5,2,4,1]=>[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,3,5,8,2,4,1]=>[1,4,2,8,5,3,6,7]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,3,5,2,4,8,1]=>[1,8,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,2,5,1,8,3]=>[3,8,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,2,8,4,1,5,3]=>[3,5,1,4,8,2,6,7]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,3,8,2,4,1,5]=>[5,1,4,2,8,3,6,7]=>[5,1,4,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,3,4,8,2,5,1]=>[1,5,2,8,4,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,3,7,4,5,2,1]=>[1,2,5,4,7,3,8,6]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,7,3,5,8,4,2,1]=>[1,2,4,8,5,3,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[5,7,8,3,6,2,1,4]=>[4,1,2,6,3,8,7,5]=>[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,8,3,6,7,2,1,4]=>[4,1,2,7,6,3,8,5]=>[4,1,2,7,6,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,3,4,8,7,2,5,1]=>[1,5,2,7,8,4,3,6]=>[1,5,2,7,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[6,3,8,4,7,2,1,5]=>[5,1,2,7,4,8,3,6]=>[5,1,2,7,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,2,8,4,1,7,5,3]=>[3,5,7,1,4,8,2,6]=>[3,5,7,1,4,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,7,4,1,5,3,8]=>[8,3,5,1,4,7,2,6]=>[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,4,7,5,8,2,1]=>[1,2,8,5,7,4,3,6]=>[1,2,5,7,4,3,6]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[6,3,5,7,8,4,2,1]=>[1,2,4,8,7,5,3,6]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[5,7,3,6,8,2,1,4]=>[4,1,2,8,6,3,7,5]=>[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,8,3,7,2,1,4]=>[4,1,2,7,3,8,6,5]=>[4,1,2,7,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,7,3,4,1,8,2]=>[2,8,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,7,8,3,5,2,1]=>[1,2,5,3,8,7,6,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,6,8,3,5,7,2,1]=>[1,2,7,5,3,8,6,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,7,3,5,6,8,2,1]=>[1,2,8,6,5,3,7,4]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,7,3,5,8,2,6,1]=>[1,6,2,8,5,3,7,4]=>[1,6,2,5,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,7,8,2,1,6]=>[6,1,2,8,7,4,3,5]=>[6,1,2,7,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,3,8,2,4,1,6,7]=>[7,6,1,4,2,8,3,5]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,3,4,8,2,6,1,7]=>[7,1,6,2,8,4,3,5]=>[7,1,6,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,8,3,6,2,5,7,1]=>[1,7,5,2,6,3,8,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,8,3,5,7,2,6,1]=>[1,6,2,7,5,3,8,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,8,3,5,6,7,2,1]=>[1,2,7,6,5,3,8,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,7,8,3,5,6,2,1]=>[1,2,6,5,3,8,7,4]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,7,8,3,6,2,5,1]=>[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,8,3,6,7,2,5,1]=>[1,5,2,7,6,3,8,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,8,3,7,2,5,6,1]=>[1,6,5,2,7,3,8,4]=>[1,6,5,2,7,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,4,8,2,7,6,1]=>[1,6,7,2,8,4,3,5]=>[1,6,7,2,4,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,8,2,4,1,7,6]=>[6,7,1,4,2,8,3,5]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,8,4,1,7,3,6]=>[6,3,7,1,4,8,2,5]=>[6,3,7,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,4,2,5,1,8,7,3]=>[3,7,8,1,5,2,4,6]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,3,5,8,2,1,7]=>[7,1,2,8,5,3,4,6]=>[7,1,2,5,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,3,5,8,7,2,4,1]=>[1,4,2,7,8,5,3,6]=>[1,4,2,7,5,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,8,3,7,2,6,4,1]=>[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,4,8,2,1,6]=>[6,1,2,8,4,3,7,5]=>[6,1,2,4,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,8,4,2,3,1,6,7]=>[7,6,1,3,2,4,8,5]=>[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,8,4,2,3,1,7,6]=>[6,7,1,3,2,4,8,5]=>[6,7,1,3,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,5,3,8,2,1,7]=>[7,1,2,8,3,5,4,6]=>[7,1,2,3,5,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,4,8,5,3,7,2,1]=>[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,3,8,5,7,2,1]=>[1,2,7,5,8,3,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,2,8,5,3,1,7]=>[7,1,3,5,8,2,4,6]=>[7,1,3,5,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,2,7,3,1,8,5]=>[5,8,1,3,7,2,4,6]=>[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,3,7,8,5,2,1]=>[1,2,5,8,7,3,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,7,1,8,2]=>[2,8,1,7,3,5,4,6]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,4,2,3,1,6,8]=>[8,6,1,3,2,4,7,5]=>[6,1,3,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,3,7,1,8,2,4]=>[4,2,8,1,7,3,6,5]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,3,4,7,1,8,2]=>[2,8,1,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,6,3,4,8,2,1,7]=>[7,1,2,8,4,3,6,5]=>[7,1,2,4,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,3,5,7,4,8,2,1]=>[1,2,8,4,7,5,3,6]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[6,3,5,4,7,8,2,1]=>[1,2,8,7,4,5,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,4,3,5,7,1,8,2]=>[2,8,1,7,5,3,4,6]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,4,2,5,1,7,3,8]=>[8,3,7,1,5,2,4,6]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,7,2,4,1,6,8]=>[8,6,1,4,2,7,3,5]=>[6,1,4,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,4,7,2,6,1,8]=>[8,1,6,2,7,4,3,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,3,6,2,5,8,1]=>[1,8,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,6,8,2,5,1]=>[1,5,2,8,6,3,7,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,6,7,3,5,8,2,1]=>[1,2,8,5,3,7,6,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,5,7,8,3,6,2,1]=>[1,2,6,3,8,7,5,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,5,8,3,6,7,2,1]=>[1,2,7,6,3,8,5,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,5,8,3,7,2,6,1]=>[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,6,8,2,1,7]=>[7,1,2,8,6,4,3,5]=>[7,1,2,6,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,3,6,8,2,1,4,7]=>[7,4,1,2,8,6,3,5]=>[7,4,1,2,6,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,3,6,7,1,8,2,4]=>[4,2,8,1,7,6,3,5]=>[4,2,1,7,6,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,3,4,6,7,1,8,2]=>[2,8,1,7,6,4,3,5]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,6,3,5,7,8,2,1]=>[1,2,8,7,5,3,6,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,5,7,3,6,8,2,1]=>[1,2,8,6,3,7,5,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,5,6,8,3,7,2,1]=>[1,2,7,3,8,6,5,4]=>[1,2,7,3,6,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,2,1,6,5,4,9,8,7]=>[7,8,9,4,5,6,1,2,3]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[2,1,7,8,5,3,4,6]=>[6,4,3,5,8,7,1,2]=>[6,4,3,5,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,2,8,5,4,1,7,6]=>[6,7,1,4,5,8,2,3]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,1,6,8,4,3,2]=>[2,3,4,8,6,1,7,5]=>[2,3,4,6,1,7,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,8,1,2,5,7,3,6]=>[6,3,7,5,2,1,8,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[8,4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4,8]=>[1,3,7,5,2,6,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[8,3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3,8]=>[1,5,2,7,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[3,8,1,4,7,2,5,6]=>[6,5,2,7,4,1,8,3]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,8,4,6,2,5,3]=>[3,5,2,6,4,8,7,1]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,4,8,5,1,6,2]=>[2,6,1,5,8,4,7,3]=>[2,6,1,5,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,7,1,6,5,4,8,2]=>[2,8,4,5,6,1,7,3]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,7,3,1,5,8,4,6]=>[6,4,8,5,1,3,7,2]=>[6,4,5,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,7,4,6,8,1,3,5]=>[5,3,1,8,6,4,7,2]=>[5,3,1,6,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,7,5,8,6,4,1,3]=>[3,1,4,6,8,5,7,2]=>[3,1,4,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[8,2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[3,8,7,1,6,4,5,2]=>[2,5,4,6,1,7,8,3]=>[2,5,4,6,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,6,8,2,7,4,1,5]=>[5,1,4,7,2,8,6,3]=>[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,5,2,8,7,4,6,3]=>[3,6,4,7,8,2,5,1]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,4,2,7,8,1,6,5]=>[5,6,1,8,7,2,4,3]=>[5,6,1,7,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,3,7,5,6,8,2]=>[2,8,6,5,7,3,1,4]=>[2,6,5,7,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,3,8,1,7,4,2,5]=>[5,2,4,7,1,8,3,6]=>[5,2,4,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,8,7,1,4,2,3]=>[3,2,4,1,7,8,5,6]=>[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,1,7,3,8,5,2,6]=>[6,2,5,8,3,7,1,4]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,1,4,5,8,2,7]=>[7,2,8,5,4,1,6,3]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,7,4,5,3,8,2]=>[2,8,3,5,4,7,6,1]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,1,7,3,5,4,8,2]=>[2,8,4,5,3,7,1,6]=>[2,4,5,3,7,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,1,2,5,8,4,7]=>[7,4,8,5,2,1,3,6]=>[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,7,2,8,5,3,6]=>[6,3,5,8,2,7,4,1]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,8,7,2,4,1,3]=>[3,1,4,2,7,8,6,5]=>[3,1,4,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,8,5,7,1,2,4,3]=>[3,4,2,1,7,5,8,6]=>[3,4,2,1,7,5,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,8,4,1,7,5,6,3]=>[3,6,5,7,1,4,8,2]=>[3,6,5,7,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[8,2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2,8]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,8,2,1,5,7,3,4]=>[4,3,7,5,1,2,8,6]=>[4,3,7,5,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,2,8,4,1,6,3,5]=>[5,3,6,1,4,8,2,7]=>[5,3,6,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,2,4,8,6,5,3,7]=>[7,3,5,6,8,4,2,1]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,1,5,6,8,4,3,2]=>[2,3,4,8,6,5,1,7]=>[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[2,7,8,1,4,6,3,5]=>[5,3,6,4,1,8,7,2]=>[5,3,6,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,8,2,5,7,1,6,3]=>[3,6,1,7,5,2,8,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,1,6,8,5,3,7,2]=>[2,7,3,5,8,6,1,4]=>[2,7,3,5,6,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,2,6,4,8,3,1,7]=>[7,1,3,8,4,6,2,5]=>[7,1,3,4,6,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,1,3,4,5,8,2]=>[2,8,5,4,3,1,7,6]=>[2,5,4,3,1,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,7,3,2,4,8,5,6]=>[6,5,8,4,2,3,7,1]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,3,6,5,2,8,4,7]=>[7,4,8,2,5,6,3,1]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,1,6,5,3,4,8,2]=>[2,8,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,7,2,4,3,8,6]=>[6,8,3,4,2,7,1,5]=>[6,3,4,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,8,4,5,7,3,6]=>[6,3,7,5,4,8,1,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,6,3,8,4,7,5,1]=>[1,5,7,4,8,3,6,2]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,1,5,6,8,3,7,4]=>[4,7,3,8,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,8,3,6,2,7,1]=>[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,5,4,8,6,2]=>[2,6,8,4,5,7,1,3]=>[2,6,4,5,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,2,5,8,4,7,3,6]=>[6,3,7,4,8,5,2,1]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,3,6,8,5,2,7,4]=>[4,7,2,5,8,6,3,1]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,6,2,4,5,8,1,3]=>[3,1,8,5,4,2,6,7]=>[3,1,5,4,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]
[1,4,7,2,6,3,5,8]=>[8,5,3,6,2,7,4,1]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,3,7,5,8,1,2]=>[2,1,8,5,7,3,6,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,4,3,8,1,2,6]=>[6,2,1,8,3,4,7,5]=>[6,2,1,3,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,2,3,8,5,6,1,4]=>[4,1,6,5,8,3,2,7]=>[4,1,6,5,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,4,1,6,5,8,3,2]=>[2,3,8,5,6,1,4,7]=>[2,3,5,6,1,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,5,8,7,3,6]=>[6,3,7,8,5,1,2,4]=>[6,3,7,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,8,2,5,4,1,6,3]=>[3,6,1,4,5,2,8,7]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,6,1,8,2,7,4,3]=>[3,4,7,2,8,1,6,5]=>[3,4,7,2,1,6,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,8,6,1,7,5,4]=>[4,5,7,1,6,8,2,3]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,8,7,1,6,5,4,2]=>[2,4,5,6,1,7,8,3]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,7,8,5,1,4,3,2]=>[2,3,4,1,5,8,7,6]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,8,5,4,1,6,2]=>[2,6,1,4,5,8,3,7]=>[2,6,1,4,5,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,1,7,6,4,8,5]=>[5,8,4,6,7,1,3,2]=>[5,4,6,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,5,3,8,2,7,6]=>[6,7,2,8,3,5,1,4]=>[6,7,2,3,5,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,5,2,6,4,3,1,8]=>[8,1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,7,6,3,5,4,1,8]=>[8,1,4,5,3,6,7,2]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,6,5,7,4,1,3,8]=>[8,3,1,4,7,5,6,2]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,5,6,8,4,3,7,1]=>[1,7,3,4,8,6,5,2]=>[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]=>[7,6,3,4,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,3,2,1,7,6,5,9,8,10]=>[10,8,9,5,6,7,1,2,3,4]=>[8,9,5,6,7,1,2,3,4]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[10,3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3,10]=>[8,6,9,4,7,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]
[10,9,4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4,9,10]=>[7,5,3,8,2,6,1,4,9]=>[[[[[.,.],.],[.,.]],[.,.]],[.,[.,.]]]
[10,9,8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8,9,10]=>[6,4,3,2,7,1,5,8,9]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]
[8,7,6,5,4,3,2,10,1,9]=>[9,1,10,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,3,8,4,6,5]=>[5,6,4,8,3,7,1,2]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,8,2,7,3,6,5]=>[5,6,3,7,2,8,1,4]=>[5,6,3,7,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,7,2,8,3,6,5]=>[5,6,3,8,2,7,1,4]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,3,2,8,4,6,5]=>[5,6,4,8,2,3,1,7]=>[5,6,4,2,3,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,8,2,4,3,6,5]=>[5,6,3,4,2,8,1,7]=>[5,6,3,4,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1,8]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,5,2,8,3,6,4]=>[4,6,3,8,2,5,1,7]=>[4,6,3,2,5,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,7,2,8,3,6,4]=>[4,6,3,8,2,7,1,5]=>[4,6,3,2,7,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,8,2,7,3,6,4]=>[4,6,3,7,2,8,1,5]=>[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,1,8,2,4,3,7,6]=>[6,7,3,4,2,8,1,5]=>[6,7,3,4,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1,8]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,8,2,4,3,7,5]=>[5,7,3,4,2,8,1,6]=>[5,7,3,4,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,1,8,2,5,3,7,4]=>[4,7,3,5,2,8,1,6]=>[4,7,3,5,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[8,1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1,8]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[8,1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1,8]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,8,2,7,3,5,4]=>[4,5,3,7,2,8,1,6]=>[4,5,3,7,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,1,7,2,8,3,5,4]=>[4,5,3,8,2,7,1,6]=>[4,5,3,2,7,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,1,7,2,5,3,8,4]=>[4,8,3,5,2,7,1,6]=>[4,3,5,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,1,7,2,4,3,8,5]=>[5,8,3,4,2,7,1,6]=>[5,3,4,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,6,2,4,3,8,7]=>[7,8,3,4,2,6,1,5]=>[7,3,4,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,5,2,4,3,8,6]=>[6,8,3,4,2,5,1,7]=>[6,3,4,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,6,2,4,3,8,5]=>[5,8,3,4,2,6,1,7]=>[5,3,4,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,6,2,5,3,8,4]=>[4,8,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,6,2,8,3,5,4]=>[4,5,3,8,2,6,1,7]=>[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,8,2,6,3,5,4]=>[4,5,3,6,2,8,1,7]=>[4,5,3,6,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,8,2,7,5,4,6,3]=>[3,6,4,5,7,2,8,1]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,8,6,4,7,2,3,5]=>[5,3,2,7,4,6,8,1]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,8,4,2,6,3,5,7]=>[7,5,3,6,2,4,8,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,8,1,5,2,3,6]=>[6,3,2,5,1,8,4,7]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,7,2,6,3,5,8]=>[8,5,3,6,2,7,1,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,8,3,2,4,1,6]=>[6,1,4,2,3,8,5,7]=>[6,1,4,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,8,5,4,3,6,2,7]=>[7,2,6,3,4,5,8,1]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,8,5,4,3,7,2,6]=>[6,2,7,3,4,5,8,1]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,8,5,4,7,2,6,3]=>[3,6,2,7,4,5,8,1]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,8,4,2,5,3,7,6]=>[6,7,3,5,2,4,8,1]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[1,8,5,4,2,6,7,3]=>[3,7,6,2,4,5,8,1]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,4,8,2,1,3,5,6]=>[6,5,3,1,2,8,4,7]=>[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[4,1,7,3,2,5,6,8]=>[8,6,5,2,3,7,1,4]=>[6,5,2,3,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,5,4,8,2,3,6,1]=>[1,6,3,2,8,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,4,8,2,1,3,7,5]=>[5,7,3,1,2,8,4,6]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,3,8,1,5,6,2,4]=>[4,2,6,5,1,8,3,7]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,7,2,6,8,4,5]=>[5,4,8,6,2,7,1,3]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,7,4,2,6,8,3]=>[3,8,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,6,3,2,5,8,7]=>[7,8,5,2,3,6,1,4]=>[7,5,2,3,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,3,7,1,2,8,6]=>[6,8,2,1,7,3,4,5]=>[6,2,1,7,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,3,1,6,2,5,7,8]=>[8,7,5,2,6,1,3,4]=>[7,5,2,6,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,5,4,3,7,1,8,2]=>[2,8,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,4,2,7,1,6,8,3]=>[3,8,6,1,7,2,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,1,7,3,8,2,4]=>[4,2,8,3,7,1,5,6]=>[4,2,3,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,3,2,8,5,7,1,4]=>[4,1,7,5,8,2,3,6]=>[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,5,4,2,8,3,7,1]=>[1,7,3,8,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,4,3,8,7,1,2]=>[2,1,7,8,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,5,4,8,6,1,3,2]=>[2,3,1,6,8,4,5,7]=>[2,3,1,6,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,3,8,5,4,1,2]=>[2,1,4,5,8,3,6,7]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,3,8,1,7,5,2,4]=>[4,2,5,7,1,8,3,6]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,8,3,1,7,4,2]=>[2,4,7,1,3,8,5,6]=>[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,8,2,1,7,3,6]=>[6,3,7,1,2,8,4,5]=>[6,3,7,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,4,3,8,1,6,2,7]=>[7,2,6,1,8,3,4,5]=>[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,4,3,7,1,6,2,8]=>[8,2,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,2,8,5,1,3,7]=>[7,3,1,5,8,2,4,6]=>[7,3,1,5,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,4,8,5,1,2,3]=>[3,2,1,5,8,4,6,7]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,2,8,6,3,1,4,5]=>[5,4,1,3,6,8,2,7]=>[5,4,1,3,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,2,8,6,1,5,3,4]=>[4,3,5,1,6,8,2,7]=>[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,7,8,3,6,4,5]=>[5,4,6,3,8,7,1,2]=>[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,4,1,7,8,2,3,5]=>[5,3,2,8,7,1,4,6]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,2,1,6,7,3,5,8]=>[8,5,3,7,6,1,2,4]=>[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,3,1,5,2,7,6,8]=>[8,6,7,2,5,1,3,4]=>[6,7,2,5,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,2,7,3,8,1,6]=>[6,1,8,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,1,5,3,2,8,6,7]=>[7,6,8,2,3,5,1,4]=>[7,6,2,3,5,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,1,6,2,8,7,4,5]=>[5,4,7,8,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,3,1,7,8,5,2,4]=>[4,2,5,8,7,1,3,6]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,4,1,7,8,2,6,3]=>[3,6,2,8,7,1,4,5]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,2,6,1,8,7,3]=>[3,7,8,1,6,2,4,5]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,4,1,7,8,3,2]=>[2,3,8,7,1,4,5,6]=>[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,3,1,6,7,2,8]=>[8,2,7,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,5,4,2,7,8,3,1]=>[1,3,8,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,4,2,6,3,8,7,1]=>[1,7,8,3,6,2,4,5]=>[1,7,3,6,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,1,5,2,6,8,7]=>[7,8,6,2,5,1,3,4]=>[7,6,2,5,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,2,1,6,7,8,3]=>[3,8,7,6,1,2,4,5]=>[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,4,3,1,6,7,8,2]=>[2,8,7,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,3,8,1,2,5,7,4]=>[4,7,5,2,1,8,3,6]=>[4,7,5,2,1,3,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,6,7,1,2,5,8,4]=>[4,8,5,2,1,7,6,3]=>[4,5,2,1,7,6,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,8,3,1,2,5,6,4]=>[4,6,5,2,1,3,8,7]=>[4,6,5,2,1,3,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,8,1,3,2,4,6,5]=>[5,6,4,2,3,1,8,7]=>[5,6,4,2,3,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,8,2,1,3,5,4,6]=>[6,4,5,3,1,2,8,7]=>[6,4,5,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,2,3,7,1,8,6,4]=>[4,6,8,1,7,3,2,5]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,5,3,6,1,8,7,4]=>[4,7,8,1,6,3,5,2]=>[4,7,1,6,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,7,3,1,8,4,5]=>[5,4,8,1,3,7,6,2]=>[5,4,1,3,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,6,7,1,3,5,4,8]=>[8,4,5,3,1,7,6,2]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,2,8,3,1,7,4,5]=>[5,4,7,1,3,8,2,6]=>[5,4,7,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,2,5,7,1,8,4,6]=>[6,4,8,1,7,5,2,3]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,3,1,2,7,8,6,5]=>[5,6,8,7,2,1,3,4]=>[5,6,7,2,1,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,1,2,7,3,6,4,8]=>[8,4,6,3,7,2,1,5]=>[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,1,4,7,8,2,3,6]=>[6,3,2,8,7,4,1,5]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,4,7,8,6,1,2]=>[2,1,6,8,7,4,3,5]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,4,6,8,7,1,2]=>[2,1,7,8,6,4,5,3]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,5,4,6,8,2,3,7]=>[7,3,2,8,6,4,5,1]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,6,7,3,2,4,8,5]=>[5,8,4,2,3,7,6,1]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,3,6,2,7,8,4]=>[4,8,7,2,6,3,5,1]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,3,7,2,6,8,4]=>[4,8,6,2,7,3,1,5]=>[4,6,2,7,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,2,4,7,8,1,6,3]=>[3,6,1,8,7,4,2,5]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,7,6,1,8,3]=>[3,8,1,6,7,5,2,4]=>[3,1,6,7,5,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,5,2,8,6,1,7,3]=>[3,7,1,6,8,2,5,4]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,1,8,2,6,7,4]=>[4,7,6,2,8,1,3,5]=>[4,7,6,2,1,3,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[6,1,8,3,2,4,7,5]=>[5,7,4,2,3,8,1,6]=>[5,7,4,2,3,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,5,7,6,8,1,2]=>[2,1,8,6,7,5,3,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,1,5,7,6,2,3,8]=>[8,3,2,6,7,5,1,4]=>[3,2,6,7,5,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,5,1,8,6,2,3,7]=>[7,3,2,6,8,1,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,1,8,3,6,4,7]=>[7,4,6,3,8,1,2,5]=>[7,4,6,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,2,1,8,7,5,6]=>[6,5,7,8,1,2,4,3]=>[6,5,7,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[7,6,5,8,2,1,4,3]=>[3,4,1,2,8,5,6,7]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,8,4,1,3,2]=>[2,3,1,4,8,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[9,6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6,9]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,8,2,4,5,1,3,6]=>[6,3,1,5,4,2,8,7]=>[6,3,1,5,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,7,2,5,1,3,8]=>[8,3,1,5,2,7,6,4]=>[3,1,5,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,8,1,3,2,4,5,6]=>[6,5,4,2,3,1,8,7]=>[6,5,4,2,3,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,8,4,1,5,2,3,6]=>[6,3,2,5,1,4,8,7]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,6,7,2,1,4,5,8]=>[8,5,4,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,2,3,6,1,4,7,8]=>[8,7,4,1,6,3,2,5]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,3,6,1,4,7,8]=>[8,7,4,1,6,3,5,2]=>[7,4,1,6,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,6,7,3,1,4,5,8]=>[8,5,4,1,3,7,6,2]=>[5,4,1,3,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,6,7,1,5,2,3,8]=>[8,3,2,5,1,7,6,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,7,3,5,8,1,2]=>[2,1,8,5,3,7,6,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,4,7,1,5,2,3,8]=>[8,3,2,5,1,7,4,6]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,3,1,4,5,8]=>[8,5,4,1,3,7,2,6]=>[5,4,1,3,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,2,5,6,1,4,7,8]=>[8,7,4,1,6,5,2,3]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,2,6,1,4,7,8]=>[8,7,4,1,6,2,5,3]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,1,4,6,7,2,3,8]=>[8,3,2,7,6,4,1,5]=>[3,2,7,6,4,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,5,4,6,7,8,1,2]=>[2,1,8,7,6,4,5,3]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,5,4,6,7,2,3,8]=>[8,3,2,7,6,4,5,1]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,7,3,2,4,5,8]=>[8,5,4,2,3,7,6,1]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,3,6,2,4,7,8]=>[8,7,4,2,6,3,5,1]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]=>[7,4,2,6,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,2,4,6,7,1,3,8]=>[8,3,1,7,6,4,2,5]=>[3,1,7,6,4,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,4,6,7,1,3,8]=>[8,3,1,7,6,4,5,2]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,6,7,4,5,1,3,8]=>[8,3,1,5,4,7,6,2]=>[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,2,7,4,5,1,3,8]=>[8,3,1,5,4,7,2,6]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,5,6,7,1,3,8]=>[8,3,1,7,6,5,2,4]=>[3,1,7,6,5,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,5,2,6,7,1,3,8]=>[8,3,1,7,6,2,5,4]=>[3,1,7,6,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,3,1,6,2,4,7,8]=>[8,7,4,2,6,1,3,5]=>[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,1,7,3,2,4,5,8]=>[8,5,4,2,3,7,1,6]=>[5,4,2,3,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,1,7,4,5,2,3,8]=>[8,3,2,5,4,7,1,6]=>[3,2,5,4,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,3,7,4,5,8,1,2]=>[2,1,8,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,4,1,6,7,2,3,8]=>[8,3,2,7,6,1,4,5]=>[3,2,7,6,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,2,1,6,3,4,7,8]=>[8,7,4,3,6,1,2,5]=>[7,4,3,6,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,7,4,6,1,8,3,2]=>[2,3,8,1,6,4,7,5]=>[2,3,1,6,4,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,8,6,1,7,5,2,3]=>[3,2,5,7,1,6,8,4]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,3,5,8,6,4]=>[4,6,8,5,3,7,1,2]=>[4,6,5,3,7,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,2,7,3,8,5,4,6]=>[6,4,5,8,3,7,2,1]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,2]=>[3,1,4,5,6,7,8,2]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[2,8,7,6,5,1,4,3]=>[3,4,1,5,6,7,8,2]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,6,8,7,4,3,1,2]=>[2,1,3,4,7,8,6,5]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[2,4,8,1,6,3,7,5]=>[5,7,3,6,1,8,4,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,5,7,8,3,1,4,2]=>[2,4,1,3,8,7,5,6]=>[2,4,1,3,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,6,7,8,1,5,2,3]=>[3,2,5,1,8,7,6,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,7,1,5,3,8,6]=>[6,8,3,5,1,7,2,4]=>[6,3,5,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4,8]=>[6,3,5,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,7,1,8,5,6,3,4]=>[4,3,6,5,8,1,7,2]=>[4,3,6,5,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,8,3,6,7,1,2]=>[2,1,7,6,3,8,5,4]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,2,3,4,8,1,5,6]=>[6,5,1,8,4,3,2,7]=>[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,2,3,8,5,1,4,6]=>[6,4,1,5,8,3,2,7]=>[6,4,1,5,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,8,2,3,6,1,4,5]=>[5,4,1,6,3,2,8,7]=>[5,4,1,6,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,6,5,1,2,3,8,4]=>[4,8,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[4,2,8,3,6,1,7,5]=>[5,7,1,6,3,8,2,4]=>[5,7,1,6,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,5,8,4,1,6,7,2]=>[2,7,6,1,4,8,5,3]=>[2,7,6,1,4,5,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,6,5,1,2,8,3,4]=>[4,3,8,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,6,5,1,8,2,3,4]=>[4,3,2,8,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,8,5,4,1,6,3,2]=>[2,3,6,1,4,5,8,7]=>[2,3,6,1,4,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,4,2,1,8,6,5,3]=>[3,5,6,8,1,2,4,7]=>[3,5,6,1,2,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,1,4,3,8,5,2,7]=>[7,2,5,8,3,4,1,6]=>[7,2,5,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,8,1,4,5,6,2,7]=>[7,2,6,5,4,1,8,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,9,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,9,7]=>[2,4,1,6,3,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,6,8,3,5,1,4,2]=>[2,4,1,5,3,8,6,7]=>[2,4,1,5,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[8,9,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[9,10,7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7,10,9]=>[2,4,1,3,6,5,8,7,9]=>[[.,[.,.]],[.,[[.,.],[[.,.],[.,.]]]]]
[9,10,7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7,10,9]=>[2,4,1,6,3,5,8,7,9]=>[[.,[.,.]],[[.,.],[.,[[.,.],[.,.]]]]]
[9,10,7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7,10,9]=>[2,4,1,6,3,8,5,7,9]=>[[.,[.,.]],[[.,.],[[.,.],[.,[.,.]]]]]
[9,7,10,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,10,7,9]=>[2,4,1,6,3,8,5,7,9]=>[[.,[.,.]],[[.,.],[[.,.],[.,[.,.]]]]]
[7,8,6,3,5,1,4,2]=>[2,4,1,5,3,6,8,7]=>[2,4,1,5,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,8,7,6,1,4,2]=>[2,4,1,6,7,8,3,5]=>[2,4,1,6,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,5,8,4,7,1,3,2]=>[2,3,1,7,4,8,5,6]=>[2,3,1,7,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[10,8,9,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]
[3,4,7,5,6,2,1,8]=>[8,1,2,6,5,7,4,3]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[7,8,3,5,6,1,4,2]=>[2,4,1,6,5,3,8,7]=>[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,8,2,5,7,4,6]=>[6,4,7,5,2,8,1,3]=>[6,4,7,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[8,3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3,8]=>[5,7,4,1,6,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,8,1,6,4,3,7,5]=>[5,7,3,4,6,1,8,2]=>[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,6,1,3,8,7,5,4]=>[4,5,7,8,3,1,6,2]=>[4,5,7,3,1,6,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,5,7,1,3,8,6,4]=>[4,6,8,3,1,7,5,2]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,8,1,5,7,4,3]=>[3,4,7,5,1,8,6,2]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[2,7,1,5,8,4,6,3]=>[3,6,4,8,5,1,7,2]=>[3,6,4,5,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,7,1,6,4,8,3,5]=>[5,3,8,4,6,1,7,2]=>[5,3,4,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,1,6,5,3,8,4]=>[4,8,3,5,6,1,7,2]=>[4,3,5,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,2]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[8,3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3,8]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,1,8,7,3,2,6,5]=>[5,6,2,3,7,8,1,4]=>[5,6,2,3,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,7,2,8,6,5,3]=>[3,5,6,8,2,7,1,4]=>[3,5,6,2,7,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,1,8,6,5,4,2]=>[2,4,5,6,8,1,7,3]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,7,6,1,4,2,5,8]=>[8,5,2,4,1,6,7,3]=>[5,2,4,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,5,1,4,6,8,2]=>[2,8,6,4,1,5,7,3]=>[2,6,4,1,5,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,6,8,5,1,4,7,2]=>[2,7,4,1,5,8,6,3]=>[2,7,4,1,5,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,3,5,8,2,1,4,6]=>[6,4,1,2,8,5,3,7]=>[6,4,1,2,5,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,3,6,2,1,4,5,8]=>[8,5,4,1,2,6,3,7]=>[5,4,1,2,6,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,3,6,2,1,5,4,8]=>[8,4,5,1,2,6,3,7]=>[4,5,1,2,6,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,2,8,1,6,5,3]=>[3,5,6,1,8,2,4,7]=>[3,5,6,1,2,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[8,7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7,8]=>[4,6,1,2,3,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,5,2,6,3,1,4,8]=>[8,4,1,3,6,2,5,7]=>[4,1,3,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,6,2,1,8,3,5]=>[5,3,8,1,2,6,4,7]=>[5,3,1,2,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,8,4,5,2,1,7,3]=>[3,7,1,2,5,4,8,6]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,6,8,5,1,7,3,2]=>[2,3,7,1,5,8,6,4]=>[2,3,7,1,5,6,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,7,5,1,3,8,6,2]=>[2,6,8,3,1,5,7,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,7,6,1,5,3,2,8]=>[8,2,3,5,1,6,7,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,1,7,6,3,8,2,4]=>[4,2,8,3,6,7,1,5]=>[4,2,3,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,1,7,6,4,2,8,3]=>[3,8,2,4,6,7,1,5]=>[3,2,4,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,5]=>[2,3,4,6,7,1,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[8,5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5,8]=>[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[8,5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5,8]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,8,6,3,2,7,4]=>[4,7,2,3,6,8,1,5]=>[4,7,2,3,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,6,1,7,4,8,2,5]=>[5,2,8,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,8,6,3,7,2,5]=>[5,2,7,3,6,8,1,4]=>[5,2,7,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4,8]=>[6,1,3,7,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,4,6,8,5,7,1,2]=>[2,1,7,5,8,6,4,3]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,4,8,2,7,3,6,1]=>[1,6,3,7,2,8,4,5]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,8,7,3,6,1,2]=>[2,1,6,3,7,8,4,5]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[8,5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5,8]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,3,8,7,1,2,5]=>[5,2,1,7,8,3,4,6]=>[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,7,2,4,8,1,5]=>[5,1,8,4,2,7,3,6]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,8,4,2,7,3,1]=>[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,7,4,2,8,1,3,6]=>[6,3,1,8,2,4,7,5]=>[6,3,1,2,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,5,2,7,1,3,8,4]=>[4,8,3,1,7,2,5,6]=>[4,3,1,7,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[8,6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6,8]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,7,3,1,8,2,5]=>[5,2,8,1,3,7,4,6]=>[5,2,1,3,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,7,4,3,8,6,1,2]=>[2,1,6,8,3,4,7,5]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,8,3,5,2,1]=>[1,2,5,3,8,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,3,8,2,4,1]=>[1,4,2,8,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,2,1,9,8,7,10]=>[10,7,8,9,1,2,3,4,5,6]=>[7,8,9,1,2,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,2,1,9,8,7,6,10]=>[10,6,7,8,9,1,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[5,4,3,2,1,8,7,6,10,9]=>[9,10,6,7,8,1,2,3,4,5]=>[9,6,7,8,1,2,3,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,3,2,1,7,6,5,10,9,8]=>[8,9,10,5,6,7,1,2,3,4]=>[8,9,5,6,7,1,2,3,4]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>[8,9,6,7,4,5,1,2,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,1,2]=>[9,8,7,5,6,3,4,1,2]=>[[[[[[.,.],.],.],[.,.]],[.,.]],[.,.]]
[2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]=>[9,8,7,6,5,3,4,1,2]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[5,2,3,4,7,1,8,6]=>[6,8,1,7,4,3,2,5]=>[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[8,4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4,8]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,8,2,4,5,1,3,7]=>[7,3,1,5,4,2,8,6]=>[7,3,1,5,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,7,2,5,1,4,8]=>[8,4,1,5,2,7,6,3]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,7,3,1,5,2,8]=>[8,2,5,1,3,7,6,4]=>[2,5,1,3,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,8,1,2,4,7,3,6]=>[6,3,7,4,2,1,8,5]=>[6,3,7,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,8,1,3,5,2,7,4]=>[4,7,2,5,3,1,8,6]=>[4,7,2,5,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,8,3,1,4,5,7,2]=>[2,7,5,4,1,3,8,6]=>[2,7,5,4,1,3,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,5,1,8,2,3,6,4]=>[4,6,3,2,8,1,5,7]=>[4,6,3,2,1,5,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,1,8,2,3,4,7,5]=>[5,7,4,3,2,8,1,6]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,3,8,4,2,6,7,1]=>[1,7,6,2,4,8,3,5]=>[1,7,6,2,4,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,8,4,6,3,7,2]=>[2,7,3,6,4,8,1,5]=>[2,7,3,6,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,1,8,3,5,7,2,6]=>[6,2,7,5,3,8,1,4]=>[6,2,7,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,7,2,6,1,8,5]=>[5,8,1,6,2,7,4,3]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,7,3,2,6,8,1]=>[1,8,6,2,3,7,5,4]=>[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,5,7,2,3,6,8,1]=>[1,8,6,3,2,7,5,4]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,6,3,4,7,5,8,1]=>[1,8,5,7,4,3,6,2]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,6,4,2,7,5,8,1]=>[1,8,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,5,2,7,1,6,8,3]=>[3,8,6,1,7,2,5,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,1,6,5,8,2,7]=>[7,2,8,5,6,1,4,3]=>[7,2,5,6,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,2,8,5,7,3,6]=>[6,3,7,5,8,2,1,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,1,4,8,6,2,7,3]=>[3,7,2,6,8,4,1,5]=>[3,7,2,6,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,3,1,4,8,5,6,2]=>[2,6,5,8,4,1,3,7]=>[2,6,5,4,1,3,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,6,3,1,7,4,2,8]=>[8,2,4,7,1,3,6,5]=>[2,4,7,1,3,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,4,1,8,5,2,6]=>[6,2,5,8,1,4,3,7]=>[6,2,5,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,4,2,8,7,1,5,3]=>[3,5,1,7,8,2,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,4,8,1,5,3,6]=>[6,3,5,1,8,4,2,7]=>[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,5,1,4,8]=>[8,4,1,5,7,3,6,2]=>[4,1,5,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[7,1,3,8,5,2,4,6]=>[6,4,2,5,8,3,1,7]=>[6,4,2,5,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,3,7,8,2,4,6]=>[6,4,2,8,7,3,5,1]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[3,2,6,7,1,8,4,5]=>[5,4,8,1,7,6,2,3]=>[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,3,1,7,8,5,2]=>[2,5,8,7,1,3,6,4]=>[2,5,7,1,3,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,3,1,6,7,8,4,2]=>[2,4,8,7,6,1,3,5]=>[2,4,7,6,1,3,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,1,6,2,7,8,5,3]=>[3,5,8,7,2,6,1,4]=>[3,5,7,2,6,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,1,3,4,8,7,5,6]=>[6,5,7,8,4,3,1,2]=>[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]
[5,6,7,8,9,10,3,4,1,2]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,9,8,7,6,5]=>[[.,.],[[.,.],[[[[[.,.],.],.],.],.]]]
[7,8,9,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,9,8,7]=>[[.,.],[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,1,8,7,5,4,3,2]=>[2,3,4,5,7,8,1,6]=>[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]=>[2,4,5,6,7,1,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,8,7,1,4,3,2]=>[2,3,4,1,7,8,5,6]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,3,1,8,7,4,2]=>[2,4,7,8,1,3,5,6]=>[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]=>[2,6,7,1,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,2,1,8,6,4,3]=>[3,4,6,8,1,2,5,7]=>[3,4,6,1,2,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]=>[3,6,7,1,2,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,1,8,6,5,4]=>[4,5,6,8,1,2,3,7]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,2,1,8,7,5,4]=>[4,5,7,8,1,2,3,6]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]=>[2,4,6,8,1,3,5,7,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[8,6,4,2,1,10,9,7,5,3]=>[3,5,7,9,10,1,2,4,6,8]=>[3,5,7,9,1,2,4,6,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[6,2,3,8,1,4,5,7]=>[7,5,4,1,8,3,2,6]=>[7,5,4,1,3,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[8,3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3,8]=>[7,5,1,4,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,8,5,3,7,1,2]=>[2,1,7,3,5,8,4,6]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,6,2,1,7,5,3,8]=>[8,3,5,7,1,2,6,4]=>[3,5,7,1,2,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,6,8,1,2,7,5]=>[5,7,2,1,8,6,3,4]=>[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,5,8,7,2,6,4,3]=>[3,4,6,2,7,8,5,1]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,6,3,5,7,8]=>[8,7,5,3,6,1,2,4]=>[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,6,8,4,5,7,2,1]=>[1,2,7,5,4,8,6,3]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[6,7,1,4,5,3,8,2]=>[2,8,3,5,4,1,7,6]=>[2,3,5,4,1,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,8,1,5,4,6,2,7]=>[7,2,6,4,5,1,8,3]=>[7,2,6,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,3,1,4,2,8,5]=>[5,8,2,4,1,3,7,6]=>[5,2,4,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,1,2,8,5,7,6]=>[6,7,5,8,2,1,4,3]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,5]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,2,7,3,1,8,6]=>[6,8,1,3,7,2,5,4]=>[6,1,3,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,2,7,1,8,6,3,4]=>[4,3,6,8,1,7,2,5]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,3,8,7,4,5]=>[5,4,7,8,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,2,8,1,7,3,4]=>[4,3,7,1,8,2,5,6]=>[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[8,5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,2,8,3,1,7,6]=>[6,7,1,3,8,2,4,5]=>[6,7,1,3,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[8,4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4,8]=>[1,3,5,2,6,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,7]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,4,3,8,2,1,6]=>[6,1,2,8,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[4,7,8,6,1,2,5,3]=>[3,5,2,1,6,8,7,4]=>[3,5,2,1,6,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,8,6,1,2,4,3]=>[3,4,2,1,6,8,7,5]=>[3,4,2,1,6,7,5]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,4,7,8,3,1,2,5]=>[5,2,1,3,8,7,4,6]=>[5,2,1,3,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,3,4,8,2,1,5,6]=>[6,5,1,2,8,4,3,7]=>[6,5,1,2,4,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,6,4,8,3,2,1,5]=>[5,1,2,3,8,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,5,8,6,2,1,4,3]=>[3,4,1,2,6,8,5,7]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,5,8,7,3,1,4,2]=>[2,4,1,3,7,8,5,6]=>[2,4,1,3,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,4,8,7,3,1,5,2]=>[2,5,1,3,7,8,4,6]=>[2,5,1,3,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[8,6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6,8]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>[1,6,5,2,7,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,4,8,7,1,5,6,2]=>[2,6,5,1,7,8,4,3]=>[2,6,5,1,7,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3,8]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[8,4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4,8]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,6,8,7,1,3,5,2]=>[2,5,3,1,7,8,6,4]=>[2,5,3,1,7,6,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,8,7,1,3,4,2]=>[2,4,3,1,7,8,6,5]=>[2,4,3,1,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,4,6,8,2,1,3,5]=>[5,3,1,2,8,6,4,7]=>[5,3,1,2,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,6,1,4,7,8,3]=>[3,8,7,4,1,6,5,2]=>[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,7,5,3,8,4,1,6]=>[6,1,4,8,3,5,7,2]=>[6,1,4,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,5,1,7,4,2,8,3]=>[3,8,2,4,7,1,5,6]=>[3,2,4,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,1,7,3,5,2,8]=>[8,2,5,3,7,1,6,4]=>[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,7,3,4,2,8,5]=>[5,8,2,4,3,7,1,6]=>[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,3,8,1,6,5,2,4]=>[4,2,5,6,1,8,3,7]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[8,3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3,8]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,7,4,2,8,6,3]=>[3,6,8,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,8,1,7,6,5,3,4]=>[4,3,5,6,7,1,8,2]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,2,8,6,5,1,7,3]=>[3,7,1,5,6,8,2,4]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,4,2,8,5,1,7,3]=>[3,7,1,5,8,2,4,6]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[8,6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6,8]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,6,4,8,1,5,2,3]=>[3,2,5,1,8,4,6,7]=>[3,2,5,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,1,6,4,2,3,8,7]=>[7,8,3,2,4,6,1,5]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,2,3,8,7,5,1,6]=>[6,1,5,7,8,3,2,4]=>[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,8,7,1,6,5,2,4]=>[4,2,5,6,1,7,8,3]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,4,3,8,1,6,7,5]=>[5,7,6,1,8,3,4,2]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,4,3,7,1,6,8,5]=>[5,8,6,1,7,3,4,2]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,3,7,8,5,1,6]=>[6,1,5,8,7,3,2,4]=>[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,1,6,4,2,3,7,8]=>[8,7,3,2,4,6,1,5]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,4,7,8,1,5,2,3]=>[3,2,5,1,8,7,4,6]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7,8]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,7,8,1,4,2,3]=>[3,2,4,1,8,7,5,6]=>[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,7,8,6,1,5,2,3]=>[3,2,5,1,6,8,7,4]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,2,4,7,8,1,5,6]=>[6,5,1,8,7,4,2,3]=>[6,5,1,7,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,2,4,8,7,1,5,6]=>[6,5,1,7,8,4,2,3]=>[6,5,1,7,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,8,7,6,1,5,2,3]=>[3,2,5,1,6,7,8,4]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,8,7,6,1,4,2,3]=>[3,2,4,1,6,7,8,5]=>[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[8,6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6,8]=>[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,6,7,4,2,3,8]=>[8,3,2,4,7,6,1,5]=>[3,2,4,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,4,8,1,5,2,3]=>[3,2,5,1,8,4,7,6]=>[3,2,5,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4,8]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[8,3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3,8]=>[6,5,1,7,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,3,2,4,8,1,5,6]=>[6,5,1,8,4,2,3,7]=>[6,5,1,4,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,3,7,1,6,4,8]=>[8,4,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[8,4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4,8]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[7,4,6,8,1,5,2,3]=>[3,2,5,1,8,6,4,7]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,6,8,4,2,3,7]=>[7,3,2,4,8,6,1,5]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,2,3,7,5,1,6,8]=>[8,6,1,5,7,3,2,4]=>[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,5,8,1,6,2,4]=>[4,2,6,1,8,5,7,3]=>[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,3,7,1,6,5,8]=>[8,5,6,1,7,3,4,2]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,4,7,1,5,8,6,3]=>[3,6,8,5,1,7,4,2]=>[3,6,5,1,7,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,2,4,7,6,1,5,8]=>[8,5,1,6,7,4,2,3]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,6,8,1,5,2,3]=>[3,2,5,1,8,6,7,4]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[8,5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5,8]=>[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6,8]=>[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[7,6,8,5,1,4,2,3]=>[3,2,4,1,5,8,6,7]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,8,7,5,1,4,2,3]=>[3,2,4,1,5,7,8,6]=>[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,8,7,1,4,2,3]=>[3,2,4,1,7,8,6,5]=>[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,8,7,1,5,2,3]=>[3,2,5,1,7,8,6,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,6,7,1,5,8,3]=>[3,8,5,1,7,6,4,2]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,2,4,6,1,5,7,8]=>[8,7,5,1,6,4,2,3]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,6]=>[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[7,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,7]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>[6,2,4,5,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,7,1,2,6,3,8,5]=>[5,8,3,6,2,1,7,4]=>[5,3,6,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,7,8,6,1,4,3,2]=>[2,3,4,1,6,8,7,5]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,6,8,7,1,4,3,2]=>[2,3,4,1,7,8,6,5]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,8,5,7,1,4,3,2]=>[2,3,4,1,7,5,8,6]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[8,6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6,8]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,7,8,1,4,3,2]=>[2,3,4,1,8,7,5,6]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,1,8,4,6,7,2]=>[2,7,6,4,8,1,3,5]=>[2,7,6,4,1,3,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[8,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,8]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,8,5,1,4,3,2]=>[2,3,4,1,5,8,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,6]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,5,1,7,4,6,8,2]=>[2,8,6,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,7,6,8,1,4,3,2]=>[2,3,4,1,8,6,7,5]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]=>[6,7,4,2,1,3,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[1,6,4,5,8,2,3,7]=>[7,3,2,8,5,4,6,1]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[3,4,8,5,6,7,1,2]=>[2,1,7,6,5,8,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,6,3,4,8]=>[8,4,3,6,5,1,7,2]=>[4,3,6,5,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,7,1,4,3,6,5,8]=>[8,5,6,3,4,1,7,2]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,7,2,5,6,8,1]=>[1,8,6,5,2,7,3,4]=>[1,6,5,2,7,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,6,3,1,4,5,8,7]=>[7,8,5,4,1,3,6,2]=>[7,5,4,1,3,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,7,1,4,2,6,8,5]=>[5,8,6,2,4,1,7,3]=>[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,7,1,5,6,2,8,4]=>[4,8,2,6,5,1,7,3]=>[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,1,5,6,8,2,3]=>[3,2,8,6,5,1,7,4]=>[3,2,6,5,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[8,5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5,8]=>[4,1,3,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[8,4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4,8]=>[5,1,7,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[8,4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4,8]=>[6,1,7,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,7,3,2,5,6,1,8]=>[8,1,6,5,2,3,7,4]=>[1,6,5,2,3,7,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,3,4,6,2,8,1,7]=>[7,1,8,2,6,4,3,5]=>[7,1,2,6,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,3,7,4,2,8,1,6]=>[6,1,8,2,4,7,3,5]=>[6,1,2,4,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,4,7,2,3,8,1,5]=>[5,1,8,3,2,7,4,6]=>[5,1,3,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,5,7,2,8,3,1,4]=>[4,1,3,8,2,7,5,6]=>[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,2,4,8,6,1]=>[1,6,8,4,2,7,3,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,6,5,1,8,3,4,7]=>[7,4,3,8,1,5,6,2]=>[7,4,3,1,5,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[8,7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7,8]=>[3,2,5,4,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8]=>[4,5,2,3,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7,8]=>[5,6,1,3,4,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[8,7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7,8]=>[3,2,6,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5,8]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[8,5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5,8]=>[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[8,4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4,8]=>[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[8,3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3,8]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,7,3,4,2,1,8,6]=>[6,8,1,2,4,3,7,5]=>[6,1,2,4,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,4,2,3,1,8,5]=>[5,8,1,3,2,4,7,6]=>[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,5,3,1,2,8,4]=>[4,8,2,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,5,4,1,8,2,3]=>[3,2,8,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,2,1,6,3,7,8,5]=>[5,8,7,3,6,1,2,4]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,1,8,3,5,6,7]=>[7,6,5,3,8,1,2,4]=>[7,6,5,3,1,2,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,2,1,7,3,5,6,8]=>[8,6,5,3,7,1,2,4]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,8,2,4,1,3,6,5]=>[5,6,3,1,4,2,8,7]=>[5,6,3,1,4,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,6,1,5,4,7,8,3]=>[3,8,7,4,5,1,6,2]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,6,3,5,8,7,1,2]=>[2,1,7,8,5,3,6,4]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,6,1,4,8,7,2]=>[2,7,8,4,1,6,5,3]=>[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,6,8,4,1,5,7]=>[7,5,1,4,8,6,3,2]=>[7,5,1,4,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,7,5,1,8,3,4,6]=>[6,4,3,8,1,5,7,2]=>[6,4,3,1,5,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,7,5,2,1,3,6,8]=>[8,6,3,1,2,5,7,4]=>[6,3,1,2,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,5,6,2,4,1,7,8]=>[8,7,1,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[2,5,6,1,4,8,3,7]=>[7,3,8,4,1,6,5,2]=>[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,1,8,4,2,6,3,7]=>[7,3,6,2,4,8,1,5]=>[7,3,6,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,8,4,6,2,5,3,7]=>[7,3,5,2,6,4,8,1]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,7,5,6,8,3,1]=>[1,3,8,6,5,7,4,2]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,4,8,7,5,6,3,1]=>[1,3,6,5,7,8,4,2]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[2,5,3,8,4,7,6,1]=>[1,6,7,4,8,3,5,2]=>[1,6,7,4,3,5,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[2,8,5,7,3,6,4,1]=>[1,4,6,3,7,5,8,2]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,1,8,5,2,7,6,4]=>[4,6,7,2,5,8,1,3]=>[4,6,7,2,5,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[8,3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3,8]=>[2,4,6,1,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[8,3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3,8]=>[2,7,5,4,1,6,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,8,6,3,4,5,7,1]=>[1,7,5,4,3,6,8,2]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,6,8,3,4,5,7,1]=>[1,7,5,4,3,8,6,2]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,5,7,3,4,8,6,1]=>[1,6,8,4,3,7,5,2]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[2,7,8,5,3,6,4,1]=>[1,4,6,3,5,8,7,2]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[2,7,6,3,4,8,5,1]=>[1,5,8,4,3,6,7,2]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[3,1,8,7,2,6,4,5]=>[5,4,6,2,7,8,1,3]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[8,3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3,8]=>[2,5,4,1,6,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,8,1,7,2,3,6,5]=>[5,6,3,2,7,1,8,4]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,7,2,3,6,5,8]=>[8,5,6,3,2,7,1,4]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,1,8,2,6,4,5]=>[5,4,6,2,8,1,7,3]=>[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,7,8,2,5,6,4]=>[4,6,5,2,8,7,1,3]=>[4,6,5,2,7,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,6,5,8,2,7,4]=>[4,7,2,8,5,6,1,3]=>[4,7,2,5,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,3,5,8,7,1,4,2]=>[2,4,1,7,8,5,3,6]=>[2,4,1,7,5,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,3,8,5,1,6,4,2]=>[2,4,6,1,5,8,3,7]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,6,1,4,8,5,2]=>[2,5,8,4,1,6,3,7]=>[2,5,4,1,6,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,8,3,6,1,4,5,2]=>[2,5,4,1,6,3,8,7]=>[2,5,4,1,6,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,4,8,1,2,3,6,5]=>[5,6,3,2,1,8,4,7]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[8,7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7,8]=>[3,5,2,1,6,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,4,6,1,2,8,3,5]=>[5,3,8,2,1,6,4,7]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[6,4,1,2,8,5,7,3]=>[3,7,5,8,2,1,4,6]=>[3,7,5,2,1,4,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,7,1,2,3,6,4,8]=>[8,4,6,3,2,1,7,5]=>[4,6,3,2,1,7,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,6,8,1,2,7,4,5]=>[5,4,7,2,1,8,6,3]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,8,6,1,2,3,7,5]=>[5,7,3,2,1,6,8,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[8,4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4,8]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,8,1,5,2,7,3,6]=>[6,3,7,2,5,1,8,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,2,5,3,8,7,6]=>[6,7,8,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,4,8,7,5,2,6]=>[6,2,5,7,8,4,1,3]=>[6,2,5,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,6,8,7,5,1,2]=>[2,1,5,7,8,6,3,4]=>[2,1,5,7,6,3,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,4,1,8,2,7,6,3]=>[3,6,7,2,8,1,4,5]=>[3,6,7,2,1,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,4,1,8,2,7,3,6]=>[6,3,7,2,8,1,4,5]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6,8]=>[3,5,2,1,4,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,4,8,1,2,5,3,7]=>[7,3,5,2,1,8,4,6]=>[7,3,5,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,7,3,1,4,8,5,2]=>[2,5,8,4,1,3,7,6]=>[2,5,4,1,3,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,6,3,8,7,1,4,2]=>[2,4,1,7,8,3,6,5]=>[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,1,6,8,2,7,3]=>[3,7,2,8,6,1,4,5]=>[3,7,2,6,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,7,1,2,8,6,3]=>[3,6,8,2,1,7,4,5]=>[3,6,2,1,7,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,7,4,1,2,8,3,5]=>[5,3,8,2,1,4,7,6]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,5,1,2,3,7,8,4]=>[4,8,7,3,2,1,5,6]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[8,6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6,8]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,5,1,2,3,7,4,8]=>[8,4,7,3,2,1,5,6]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,7,4,1,2,5,3,8]=>[8,3,5,2,1,4,7,6]=>[3,5,2,1,4,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[7,8,6,4,1,2,5,3]=>[3,5,2,1,4,6,8,7]=>[3,5,2,1,4,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,8,3,4,2,7,5,6]=>[6,5,7,2,4,3,8,1]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[6,2,5,8,1,4,7,3]=>[3,7,4,1,8,5,2,6]=>[3,7,4,1,5,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,7,1,4,2,5,3,8]=>[8,3,5,2,4,1,7,6]=>[3,5,2,4,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,8,1,2,5,3,6,4]=>[4,6,3,5,2,1,8,7]=>[4,6,3,5,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,6,7,5,3,8,4,2]=>[2,4,8,3,5,7,6,1]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,5,7,3,8,2,4,1]=>[1,4,2,8,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,6,7,5,8,3,1]=>[1,3,8,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,2,5,7,3,8,6,1]=>[1,6,8,3,7,5,2,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,8,4,1,3,7]=>[7,3,1,4,8,6,2,5]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,4,3,1,7,8,2,5]=>[5,2,8,7,1,3,4,6]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,3,5,4,8,2,6]=>[6,2,8,4,5,3,1,7]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,2,6,3,7,8,5,1]=>[1,5,8,7,3,6,2,4]=>[1,5,7,3,6,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,7,2,1,8,6,4]=>[4,6,8,1,2,7,5,3]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[6,3,7,8,2,5,4,1]=>[1,4,5,2,8,7,3,6]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,7,8,5,2,6,4]=>[4,6,2,5,8,7,3,1]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,8,2,4,6,3,5,7]=>[7,5,3,6,4,2,8,1]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,2,8,3,5,1,4,6]=>[6,4,1,5,3,8,2,7]=>[6,4,1,5,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,4,6,2,5,8]=>[8,5,2,6,4,7,3,1]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,5,7,4,3,6,2,8]=>[8,2,6,3,4,7,5,1]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,8,4,5,3,6,2,7]=>[7,2,6,3,5,4,8,1]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,8,5,3,4,7,2,6]=>[6,2,7,4,3,5,8,1]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,8,2,4,6,3,7,5]=>[5,7,3,6,4,2,8,1]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[1,8,2,5,4,6,7,3]=>[3,7,6,4,5,2,8,1]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,6,2,7,1,4,5,8]=>[8,5,4,1,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,8,1,2,4,7,5]=>[5,7,4,2,1,8,3,6]=>[5,7,4,2,1,3,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[1,3,7,4,6,2,8,5]=>[5,8,2,6,4,7,3,1]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,4,7,5,2,6,8,3]=>[3,8,6,2,5,7,4,1]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,2,7,1,3,8,6]=>[6,8,3,1,7,2,5,4]=>[6,3,1,7,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,2,3,6,1,8,7]=>[7,8,1,6,3,2,5,4]=>[7,1,6,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,5,3,7,1,8,2]=>[2,8,1,7,3,5,6,4]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,5,4,7,1,6,8,3]=>[3,8,6,1,7,4,5,2]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,3,8,6,7,1,5]=>[5,1,7,6,8,3,2,4]=>[5,1,7,6,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,2,4,8,5,1,7,3]=>[3,7,1,5,8,4,2,6]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,4,8,1,3,7,6]=>[6,7,3,1,8,4,2,5]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,2,5,4,8,3,7,1]=>[1,7,3,8,4,5,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,4,3,5,8,2,7,1]=>[1,7,2,8,5,3,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,3,4,8,1,6,7]=>[7,6,1,8,4,3,2,5]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,2,4,7,1,6,8]=>[8,6,1,7,4,2,5,3]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,3,4,8,1,6,2,7]=>[7,2,6,1,8,4,3,5]=>[7,2,6,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,3,7,1,6,2,8]=>[8,2,6,1,7,3,5,4]=>[2,6,1,7,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,4,8,5,1,3,7]=>[7,3,1,5,8,4,2,6]=>[7,3,1,5,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,6,3,8,5,1,2,4]=>[4,2,1,5,8,3,6,7]=>[4,2,1,5,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,3,7,8,2,5,6]=>[6,5,2,8,7,3,4,1]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,6,7,3,8,1,5]=>[5,1,8,3,7,6,2,4]=>[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,5,7,4,2,8,6,3]=>[3,6,8,2,4,7,5,1]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,3,7,2,8,6,4,5]=>[5,4,6,8,2,7,3,1]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,3,7,8,6,2,5]=>[5,2,6,8,7,3,4,1]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,6,8,2,7,4]=>[4,7,2,8,6,3,5,1]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,2,7,1,8,6,3]=>[3,6,8,1,7,2,5,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,5,7,8,1,2]=>[2,1,8,7,5,6,3,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,3,5,6,8,1,7]=>[7,1,8,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,2,6,4,7,8,3,1]=>[1,3,8,7,4,6,2,5]=>[1,3,7,4,6,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,6,7,3,8,5,1]=>[1,5,8,3,7,6,2,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,5,6,8,1,7,4]=>[4,7,1,8,6,5,2,3]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,7,8,5,6,1,2,4]=>[4,2,1,6,5,8,7,3]=>[4,2,1,6,5,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,6,1,8,4,7,2,5]=>[5,2,7,4,8,1,6,3]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,8,4,7,2,5]=>[5,2,7,4,8,6,1,3]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,1,6,8,3,2,7,5]=>[5,7,2,3,8,6,1,4]=>[5,7,2,3,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,6,1,8,3,2,7,5]=>[5,7,2,3,8,1,6,4]=>[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,8,1,3,2,6,5]=>[5,6,2,3,1,8,7,4]=>[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,8,3,1,2,6,5]=>[5,6,2,1,3,8,7,4]=>[5,6,2,1,3,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,7,8,3,4,6,5,1]=>[1,5,6,4,3,8,7,2]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[4,7,8,2,1,3,6,5]=>[5,6,3,1,2,8,7,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,6,1,8,2,3,7,5]=>[5,7,3,2,8,1,6,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,6,8,2,3,7,5]=>[5,7,3,2,8,6,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,1,2,8,3,7,6]=>[6,7,3,8,2,1,5,4]=>[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,2,1,8,3,7,6]=>[6,7,3,8,1,2,5,4]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,6,2,8,1,3,7,5]=>[5,7,3,1,8,2,6,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,6,2,8,4,7,1,5]=>[5,1,7,4,8,2,6,3]=>[5,1,7,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,3,6,8,4,7,5,1]=>[1,5,7,4,8,6,3,2]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,2,6,8,4,7,1,5]=>[5,1,7,4,8,6,2,3]=>[5,1,7,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,6,8,3,1,7,5]=>[5,7,1,3,8,6,2,4]=>[5,7,1,3,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,5,1,8,3,7,6]=>[6,7,3,8,1,5,2,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,2,5,8,3,7,6]=>[6,7,3,8,5,2,1,4]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]=>[6,7,3,4,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,2,4,1,3,8,7,6]=>[6,7,8,3,1,4,2,5]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,5,3,8,1,7,6]=>[6,7,1,8,3,5,2,4]=>[6,7,1,3,5,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,5,4,8,7,1,6]=>[6,1,7,8,4,5,2,3]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,2,4,8,7,1,6]=>[6,1,7,8,4,2,5,3]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,1,4,2,3,8,7,6]=>[6,7,8,3,2,4,1,5]=>[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]=>[6,7,2,3,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]=>[6,7,2,1,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,5,3,1,8,2,7,6]=>[6,7,2,8,1,3,5,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,5,1,3,8,2,7,6]=>[6,7,2,8,3,1,5,4]=>[6,7,2,3,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,4,8,7,2,6]=>[6,2,7,8,4,5,1,3]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,1,4,8,7,2,6]=>[6,2,7,8,4,1,5,3]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,4,1,8,7,2,6]=>[6,2,7,8,1,4,5,3]=>[6,2,7,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,5,8,7,1,2,4]=>[4,2,1,7,8,5,6,3]=>[4,2,1,7,5,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[3,4,5,1,8,7,2,6]=>[6,2,7,8,1,5,4,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,5,8,7,2,6]=>[6,2,7,8,5,1,4,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,3,5,8,2,7,6]=>[6,7,2,8,5,3,1,4]=>[6,7,2,5,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,3,6,8,2,1,7,5]=>[5,7,1,2,8,6,3,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,4,6,8,3,7,5,1]=>[1,5,7,3,8,6,4,2]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,4,5,2,8,7,1,6]=>[6,1,7,8,2,5,4,3]=>[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]=>[6,7,2,4,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,3,4,2,8,7,6]=>[6,7,8,2,4,3,1,5]=>[6,7,2,4,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,3,2,4,8,7,6]=>[6,7,8,4,2,3,1,5]=>[6,7,4,2,3,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]=>[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,3,2,5,8,1,7,6]=>[6,7,1,8,5,2,3,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,2,5,8,7,1,6]=>[6,1,7,8,5,2,4,3]=>[6,1,7,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,2,4,5,8,7,1,6]=>[6,1,7,8,5,4,2,3]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,2,3,5,8,1,7,6]=>[6,7,1,8,5,3,2,4]=>[6,7,1,5,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,3,1,4,8,7,6]=>[6,7,8,4,1,3,2,5]=>[6,7,4,1,3,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,5,7,3,8,4,6,1]=>[1,6,4,8,3,7,5,2]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,1,2,7,5,8,4]=>[4,8,5,7,2,1,6,3]=>[4,5,7,2,1,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7,10]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6,9]=>[7,1,8,2,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[9,7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7,9]=>[6,8,1,2,3,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5,8]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,5,4,8,3,2,7,1]=>[1,7,2,3,8,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,3,9,2,8,1]=>[1,8,2,9,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,8,5,1]=>[1,5,8,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[8,7,6,5,4,3,2,10,9,1]=>[1,9,10,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,3,1,4,8,2,5,6]=>[6,5,2,8,4,1,3,7]=>[6,5,2,4,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,1,2,5,8,3,6]=>[6,3,8,5,2,1,4,7]=>[6,3,5,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,7,4,2,5,1,3,8]=>[8,3,1,5,2,4,7,6]=>[3,1,5,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,2,4,6,8,1,3]=>[3,1,8,6,4,2,7,5]=>[3,1,6,4,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,5,1,6,2,8,3]=>[3,8,2,6,1,5,7,4]=>[3,2,6,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,7,4,6,3,1,8,2]=>[2,8,1,3,6,4,7,5]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[7,5,1,4,3,2,8,6]=>[6,8,2,3,4,1,5,7]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[8,6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6,8]=>[1,5,7,3,2,4,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,4,7,1,3,8,5,2]=>[2,5,8,3,1,7,4,6]=>[2,5,3,1,7,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,4,2,7,3,1,6,8]=>[8,6,1,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,5,1,2,7,6,8,3]=>[3,8,6,7,2,1,5,4]=>[3,6,7,2,1,5,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,4,6,8,3,1,2,7]=>[7,2,1,3,8,6,4,5]=>[7,2,1,3,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,8,1,3,7,2,5]=>[5,2,7,3,1,8,4,6]=>[5,2,7,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,1,3,8,5,2,7]=>[7,2,5,8,3,1,6,4]=>[7,2,5,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,8,4,5,7,2,6]=>[6,2,7,5,4,8,3,1]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,6,7,4,5,3,1,8]=>[8,1,3,5,4,7,6,2]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[2,6,8,4,3,5,1,7]=>[7,1,5,3,4,8,6,2]=>[7,1,5,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,3,7,4,2,8,5,6]=>[6,5,8,2,4,7,3,1]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,5,8,6,2,1,3,4]=>[4,3,1,2,6,8,5,7]=>[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,8,1,3,6,5,4,7]=>[7,4,5,6,3,1,8,2]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,8,7,3,5,4,1,6]=>[6,1,4,5,3,7,8,2]=>[6,1,4,5,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[3,4,2,6,8,7,1,5]=>[5,1,7,8,6,2,4,3]=>[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[8,4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4,8]=>[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,8,4,1,2,6,5]=>[5,6,2,1,4,8,3,7]=>[5,6,2,1,4,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,8,3,2,7,1,5,4]=>[4,5,1,7,2,3,8,6]=>[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,8,5,6,3,7,1,4]=>[4,1,7,3,6,5,8,2]=>[4,1,7,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[7,4,2,5,8,1,6,3]=>[3,6,1,8,5,2,4,7]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,8,3,4,5,1,6]=>[6,1,5,4,3,8,7,2]=>[6,1,5,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,7,1,2,4,6,5,8]=>[8,5,6,4,2,1,7,3]=>[5,6,4,2,1,7,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,5,6,8,2,1,4,3]=>[3,4,1,2,8,6,5,7]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,6,5,2,7,4,8]=>[8,4,7,2,5,6,1,3]=>[4,7,2,5,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,8,6,5,3,4,1,7]=>[7,1,4,3,5,6,8,2]=>[7,1,4,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,2,3,5,6,8,4]=>[4,8,6,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,4,6,2,8,5,7,1]=>[1,7,5,8,2,6,4,3]=>[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,2,1,7,5,8,3,6]=>[6,3,8,5,7,1,2,4]=>[6,3,5,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,2,6,5,1,3,8]=>[8,3,1,5,6,2,7,4]=>[3,1,5,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,2,5,8,6]=>[6,8,5,2,1,4,7,3]=>[6,5,2,1,4,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,7,1,6,5,2,8,3]=>[3,8,2,5,6,1,7,4]=>[3,2,5,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,7,3,6,5,1,8,2]=>[2,8,1,5,6,3,7,4]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,7,1,6,8,5,2]=>[2,5,8,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,5,6,8,3]=>[3,8,6,5,7,1,2,4]=>[3,6,5,7,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,8,6,7,1,5]=>[5,1,7,6,8,4,2,3]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,2,6,8,7,3,1,5]=>[5,1,3,7,8,6,2,4]=>[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,4,6,1,8,5,2,7]=>[7,2,5,8,1,6,4,3]=>[7,2,5,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,6,7,5,8,2,3]=>[3,2,8,5,7,6,1,4]=>[3,2,5,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,3,7,1,6,8,2,5]=>[5,2,8,6,1,7,3,4]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,7,5,6,8,2,1]=>[1,2,8,6,5,7,3,4]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,1,7,3,6,5,2,8]=>[8,2,5,6,3,7,1,4]=>[2,5,6,3,7,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,8,7,4,5,3,1,6]=>[6,1,3,5,4,7,8,2]=>[6,1,3,5,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,8,7,4,3,5,1,6]=>[6,1,5,3,4,7,8,2]=>[6,1,5,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,8,1,4,2,6,5,7]=>[7,5,6,2,4,1,8,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]=>[5,2,6,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,8,7,6,1,2,4,3]=>[3,4,2,1,6,7,8,5]=>[3,4,2,1,6,7,5]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,8,7,6,2,1,3,4]=>[4,3,1,2,6,7,8,5]=>[4,3,1,2,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,7,2,6,8,5,3]=>[3,5,8,6,2,7,1,4]=>[3,5,6,2,7,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,2,7,3,6,1,8,5]=>[5,8,1,6,3,7,2,4]=>[5,1,6,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,7,3,6,5,8,1]=>[1,8,5,6,3,7,2,4]=>[1,5,6,3,7,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,8,2,4,5,6,7,1]=>[1,7,6,5,4,2,8,3]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,8,2,4,1,6,7,5]=>[5,7,6,1,4,2,8,3]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,8,5,6,2,4,1,7]=>[7,1,4,2,6,5,8,3]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[2,8,6,5,3,7,1,4]=>[4,1,7,3,5,6,8,2]=>[4,1,7,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,8,6,5,1,4,7,2]=>[2,7,4,1,5,6,8,3]=>[2,7,4,1,5,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,8,2,1,4,6,7,5]=>[5,7,6,4,1,2,8,3]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,8,2,5,4,6,7,1]=>[1,7,6,4,5,2,8,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,7,5,6,3,8,1]=>[1,8,3,6,5,7,2,4]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,7,5,6,1,8,3]=>[3,8,1,6,5,7,2,4]=>[3,1,6,5,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,6,7,5,3,1,8]=>[8,1,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,2,6,1,4,5,8,7]=>[7,8,5,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,8,7,3,4,5,1,6]=>[6,1,5,4,3,7,8,2]=>[6,1,5,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,8,1,2,4,6,5,7]=>[7,5,6,4,2,1,8,3]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,8,7,6,1,3,4,2]=>[2,4,3,1,6,7,8,5]=>[2,4,3,1,6,7,5]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,8,7,6,2,3,4,1]=>[1,4,3,2,6,7,8,5]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,8,1,5,2,6,4,7]=>[7,4,6,2,5,1,8,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,8,7,5,3,4,1,6]=>[6,1,4,3,5,7,8,2]=>[6,1,4,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,8,7,5,4,3,1,6]=>[6,1,3,4,5,7,8,2]=>[6,1,3,4,5,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[5,8,7,6,1,3,2,4]=>[4,2,3,1,6,7,8,5]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,8,7,6,4,1,2,3]=>[3,2,1,4,6,7,8,5]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,4,1,7,3,6,8,2]=>[2,8,6,3,7,1,4,5]=>[2,6,3,7,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,4,7,6,2,5,8,1]=>[1,8,5,2,6,7,4,3]=>[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[3,2,8,6,7,1,4,5]=>[5,4,1,7,6,8,2,3]=>[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,8,3,6,5,2,1,7]=>[7,1,2,5,6,3,8,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,4,1,5,3,7,8]=>[8,7,3,5,1,4,2,6]=>[7,3,5,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,3,5,8,6,2,4]=>[4,2,6,8,5,3,1,7]=>[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,2,3,5,1,4,8,7]=>[7,8,4,1,5,3,2,6]=>[7,4,1,5,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,6,2,8,5,1,4,3]=>[3,4,1,5,8,2,6,7]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[8,2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2,8]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,3,8,1,4,6]=>[6,4,1,8,3,2,7,5]=>[6,4,1,3,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,8,7,6,5,2,4]=>[4,2,5,6,7,8,1,3]=>[4,2,5,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,8,6,7,3,4,2,5]=>[5,2,4,3,7,6,8,1]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[9,1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[8,1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1,8]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,3,4,6,5,7,8,9,1]=>[1,9,8,7,5,6,4,3,2]=>[1,8,7,5,6,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[10,1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1,10]=>[9,8,7,5,6,4,3,2,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]
[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,9]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[3,4,5,6,7,8,9,10,11,12,1,2]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[11,12,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[1,2,3,4,5,6,7,8,9,10,11,12]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]
[5,8,7,4,1,2,3,6]=>[6,3,2,1,4,7,8,5]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[8,5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5,8]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,4,7,3,6,2,8,1]=>[1,8,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,3,8,2,1,6,5,4]=>[4,5,6,1,2,8,3,7]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,4,3,8,5,2,1,6]=>[6,1,2,5,8,3,4,7]=>[6,1,2,5,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,5,2,8,4,3,1,7]=>[7,1,3,4,8,2,5,6]=>[7,1,3,4,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,3,2,8,6,5,1,7]=>[7,1,5,6,8,2,3,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,3,8,7,5,1,6,2]=>[2,6,1,5,7,8,3,4]=>[2,6,1,5,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,5,8,6,1,4,7]=>[7,4,1,6,8,5,2,3]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[8,4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4,8]=>[1,6,2,5,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,7,8,5,1,2,6]=>[6,2,1,5,8,7,3,4]=>[6,2,1,5,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,3,7,8,4,1,2,6]=>[6,2,1,4,8,7,3,5]=>[6,2,1,4,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,5,8,3,1,4,7]=>[7,4,1,3,8,5,2,6]=>[7,4,1,3,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,4,8,3,1,5,7]=>[7,5,1,3,8,4,2,6]=>[7,5,1,3,4,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,2,3,8,4,1,6,7]=>[7,6,1,4,8,3,2,5]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,3,8,7,4,1,6,2]=>[2,6,1,4,7,8,3,5]=>[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,3,2,8,6,4,1,7]=>[7,1,4,6,8,2,3,5]=>[7,1,4,6,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,5,3,8,4,2,1,6]=>[6,1,2,4,8,3,5,7]=>[6,1,2,4,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[8,7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,4,3,8,2,6,1]=>[1,6,2,8,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,4,5,3,8,2,7,1]=>[1,7,2,8,3,5,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,3,8,2,5,1]=>[1,5,2,8,3,6,4,7]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,3,8,2,4,1]=>[1,4,2,8,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[8,5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,4,6,3,5,2,8,1]=>[1,8,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[8,4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[8,4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[8,5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,5,8,4,3,2,6,1]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,8,4,3,2,7,1]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,8,3,4,2,7,1]=>[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,8,3,4,2,6,1]=>[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,8,3,5,2,6,1]=>[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,8,3,5,2,7,1]=>[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,7,3,5,2,8,1]=>[1,8,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,4,7,3,8,2,5,1]=>[1,5,2,8,3,7,4,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,8,2,6,1]=>[1,6,2,8,3,7,4,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,3,8,2,7,1]=>[1,7,2,8,3,6,4,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,2,4,6,8,1]=>[1,8,6,4,2,7,3,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,7,3,1,5,8,2,4]=>[4,2,8,5,1,3,7,6]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[7,5,2,8,6,3,4,1]=>[1,4,3,6,8,2,5,7]=>[1,4,3,6,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,8,6,2,5,3,1]=>[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,8,6,2,4,5,1]=>[1,5,4,2,6,8,3,7]=>[1,5,4,2,6,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,4,3,1,8,2,5,6]=>[6,5,2,8,1,3,4,7]=>[6,5,2,1,3,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,4,2,8,5,6,1,3]=>[3,1,6,5,8,2,4,7]=>[3,1,6,5,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,8,5,2,4,6,1]=>[1,6,4,2,5,8,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,8,4,5,6,2,1]=>[1,2,6,5,4,8,3,7]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[6,3,8,2,4,5,1,7]=>[7,1,5,4,2,8,3,6]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,3,8,2,5,7,4,1]=>[1,4,7,5,2,8,3,6]=>[1,4,7,5,2,3,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,4,3,8,1,5,2,7]=>[7,2,5,1,8,3,4,6]=>[7,2,5,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,7,8,2,4,1,5]=>[5,1,4,2,8,7,3,6]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,7,3,8,2,4,1]=>[1,4,2,8,3,7,6,5]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,7,2,6,8,1,3]=>[3,1,8,6,2,7,4,5]=>[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,8,2,4,6,7,1]=>[1,7,6,4,2,8,3,5]=>[1,7,6,4,2,3,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,3,8,2,4,7,5,1]=>[1,5,7,4,2,8,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,7,4,2,6,8,1,3]=>[3,1,8,6,2,4,7,5]=>[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,4,8,2,7,5,1,3]=>[3,1,5,7,2,8,4,6]=>[3,1,5,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,7,4,2,6,1,3,8]=>[8,3,1,6,2,4,7,5]=>[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,4,2,3,8,1,7]=>[7,1,8,3,2,4,6,5]=>[7,1,3,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,3,7,8,2,4,1]=>[1,4,2,8,7,3,6,5]=>[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,8,2,4,7,1]=>[1,7,4,2,8,3,6,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,3,7,2,4,5,1,8]=>[8,1,5,4,2,7,3,6]=>[1,5,4,2,7,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,3,7,2,5,8,4,1]=>[1,4,8,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,6,8,2,4,7,1]=>[1,7,4,2,8,6,3,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,6,7,8,2,4,1]=>[1,4,2,8,7,6,3,5]=>[1,4,2,7,6,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,8,6,3,5,4,1,7]=>[7,1,4,5,3,6,8,2]=>[7,1,4,5,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,7,8,3,2,1,5]=>[5,1,2,3,8,7,4,6]=>[5,1,2,3,7,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,6,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,6,5,4,3,8,2,1,9]=>[9,1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,2,8,1,9]=>[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,9,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,9,6]=>[7,1,2,3,4,5,8,6]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,9,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[8,7,6,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[6,4,3,7,5,2,1,8]=>[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,2,8,4,1,7]=>[7,1,4,8,2,3,5,6]=>[7,1,4,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[8,7,6,5,4,9,3,2,1,10]=>[10,1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[6,5,2,7,8,4,1,3]=>[3,1,4,8,7,2,5,6]=>[3,1,4,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[8,7,6,5,4,3,9,2,1,10]=>[10,1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[7,10,9,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,9,10,7]=>[8,1,2,3,4,5,6,9,7]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[9,8,10,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[6,5,8,7,4,3,2,1,9]=>[9,1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[9,8,7,10,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[5,9,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,9,5]=>[6,1,2,3,4,7,8,5]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[6,4,3,2,5,8,1,7]=>[7,1,8,5,2,3,4,6]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[9,8,7,6,5,10,4,3,2,1,11]=>[11,1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,3,7,2,5,4,1,8]=>[8,1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[9,8,7,6,5,4,10,3,2,1,11]=>[11,1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[6,3,2,7,5,4,1,8]=>[8,1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[9,8,7,6,5,4,3,2,10,1,11]=>[11,1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,2,1,10,11]=>[11,10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[1,5,3,8,2,6,7,4]=>[4,7,6,2,8,3,5,1]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,8,1,2,4,5,6,3]=>[3,6,5,4,2,1,8,7]=>[3,6,5,4,2,1,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,3,6,7,4,1,8,5]=>[5,8,1,4,7,6,3,2]=>[5,1,4,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[8,7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7,8]=>[1,4,3,6,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[8,6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6,8]=>[1,4,3,7,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,8,5,6,3,2,1]=>[1,2,3,6,5,8,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[6,3,8,5,4,7,1,2]=>[2,1,7,4,5,8,3,6]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,1,6,3,7,8,2,5]=>[5,2,8,7,3,6,1,4]=>[5,2,7,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,2,1,7,8,3,5]=>[5,3,8,7,1,2,6,4]=>[5,3,7,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,7,4,3,8,6,1]=>[1,6,8,3,4,7,5,2]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,7,6,8,2,3,1,4]=>[4,1,3,2,8,6,7,5]=>[4,1,3,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,3,7,8,4,1,6,5]=>[5,6,1,4,8,7,3,2]=>[5,6,1,4,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,6,5,8,1,7,3,4]=>[4,3,7,1,8,5,6,2]=>[4,3,7,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,1,6,5,8,3,7,2]=>[2,7,3,8,5,6,1,4]=>[2,7,3,5,6,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,6,8,5,3,1,7,4]=>[4,7,1,3,5,8,6,2]=>[4,7,1,3,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,8,5,7,1,3,4]=>[4,3,1,7,5,8,2,6]=>[4,3,1,7,5,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,4,5,6,8,9,7,1]=>[1,7,9,8,6,5,4,3,2]=>[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]
[1,6,2,8,5,3,4,7]=>[7,4,3,5,8,2,6,1]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,8,1,4,3,5,2,6]=>[6,2,5,3,4,1,8,7]=>[6,2,5,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[6,1,2,8,5,3,4,7]=>[7,4,3,5,8,2,1,6]=>[7,4,3,5,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,3,7,2,6,1,8,4]=>[4,8,1,6,2,7,3,5]=>[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,8,7,6,2,4,1,5]=>[5,1,4,2,6,7,8,3]=>[5,1,4,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,4,2,1,7,5,8,3]=>[3,8,5,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,2,8,7,3,6,1,5]=>[5,1,6,3,7,8,2,4]=>[5,1,6,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,3,4,8,6,1,5]=>[5,1,6,8,4,3,2,7]=>[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,3,4,8,2,7,5]=>[5,7,2,8,4,3,6,1]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,4,2,6,7,8,1,5]=>[5,1,8,7,6,2,4,3]=>[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,2,6,8,7,5]=>[5,7,8,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[8,3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3,8]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,7,3,5,4,1,8]=>[8,1,4,5,3,7,6,2]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[2,7,8,3,5,4,1,6]=>[6,1,4,5,3,8,7,2]=>[6,1,4,5,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,6,8,3,5,4,1,7]=>[7,1,4,5,3,8,6,2]=>[7,1,4,5,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,7,1,2,8,5,3,6]=>[6,3,5,8,2,1,7,4]=>[6,3,5,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,8,1,2,7,5,3,6]=>[6,3,5,7,2,1,8,4]=>[6,3,5,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,1,6,3,7,5,4,8]=>[8,4,5,7,3,6,1,2]=>[4,5,7,3,6,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,7,1,3,6,8,4,5]=>[5,4,8,6,3,1,7,2]=>[5,4,6,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,7,3,2,8,1,4,5]=>[5,4,1,8,2,3,7,6]=>[5,4,1,2,3,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[7,3,4,2,6,1,8,5]=>[5,8,1,6,2,4,3,7]=>[5,1,6,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,1,2,8,5,3,6]=>[6,3,5,8,2,1,4,7]=>[6,3,5,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7,8]=>[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,4,1,2,6,5,3,8]=>[8,3,5,6,2,1,4,7]=>[3,5,6,2,1,4,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,4,3,1,5,6,8,2]=>[2,8,6,5,1,3,4,7]=>[2,6,5,1,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,7,4,1,5,8,3,2]=>[2,3,8,5,1,4,7,6]=>[2,3,5,1,4,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,7,5,1,6,8,3,2]=>[2,3,8,6,1,5,7,4]=>[2,3,6,1,5,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,3,1,7,6,8,2]=>[2,8,6,7,1,3,5,4]=>[2,6,7,1,3,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,6,1,2,7,5,3,8]=>[8,3,5,7,2,1,6,4]=>[3,5,7,2,1,6,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,7,1,3,6,5,4,8]=>[8,4,5,6,3,1,7,2]=>[4,5,6,3,1,7,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,1,8,2,6,5,3,7]=>[7,3,5,6,2,8,1,4]=>[7,3,5,6,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,6,1,2,8,5,3,7]=>[7,3,5,8,2,1,6,4]=>[7,3,5,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[8,4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4,8]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[4,5,3,1,8,6,7,2]=>[2,7,6,8,1,3,5,4]=>[2,7,6,1,3,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,8,5,6,3,1,7,2]=>[2,7,1,3,6,5,8,4]=>[2,7,1,3,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,1,3,4,8,6,7,2]=>[2,7,6,8,4,3,1,5]=>[2,7,6,4,3,1,5]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,4,3,8,1,6,7,2]=>[2,7,6,1,8,3,4,5]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[8,5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5,8]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,4,8,2,1,5,3,7]=>[7,3,5,1,2,8,4,6]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,7,3,2,5,1,4,8]=>[8,4,1,5,2,3,7,6]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,8,3,2,5,1,4,7]=>[7,4,1,5,2,3,8,6]=>[7,4,1,5,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,7,1,4,6,8,3,2]=>[2,3,8,6,4,1,7,5]=>[2,3,6,4,1,7,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,1,3,4,7,6,8,2]=>[2,8,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,1,4,2,7,5,3,8]=>[8,3,5,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,3,7,1,6,8,2]=>[2,8,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,7,5,4,1,8,3,2]=>[2,3,8,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[7,6,4,2,1,5,3,8]=>[8,3,5,1,2,4,6,7]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[8,1,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,1,8]=>[2,3,4,5,6,7,1,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,10,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,10,2]=>[3,1,4,5,6,7,8,9,2]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[3,2,8,7,6,5,1,4]=>[4,1,5,6,7,8,2,3]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[9,1,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,1,9]=>[2,3,4,5,6,7,8,1,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[3,8,7,4,6,5,2,1]=>[1,2,5,6,4,7,8,3]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[2,8,7,6,3,5,4,1]=>[1,4,5,3,6,7,8,2]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[8,6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6,8]=>[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,7,2,5,1,8,3,4]=>[4,3,8,1,5,2,7,6]=>[4,3,1,5,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[8,4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4,8]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[7,3,1,8,5,6,2,4]=>[4,2,6,5,8,1,3,7]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,8,5,2,3,4,7,1]=>[1,7,4,3,2,5,8,6]=>[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,6,3,7,2,5,8,1]=>[1,8,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,7,3,2,5,1,8,4]=>[4,8,1,5,2,3,7,6]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,8,3,6,4,1,2]=>[2,1,4,6,3,8,7,5]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,8,5,6,4,1,2]=>[2,1,4,6,5,8,7,3]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[3,7,8,5,6,1,4,2]=>[2,4,1,6,5,8,7,3]=>[2,4,1,6,5,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,7,5,8,6,3,4,2]=>[2,4,3,6,8,5,7,1]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,7,5,8,6,1,4,2]=>[2,4,1,6,8,5,7,3]=>[2,4,1,6,5,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,7,5,8,6,4,1,2]=>[2,1,4,6,8,5,7,3]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,7,3,8,6,4,1,2]=>[2,1,4,6,8,3,7,5]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,3,8,5,6,4,1,2]=>[2,1,4,6,5,8,3,7]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,3,5,8,6,4,1,2]=>[2,1,4,6,8,5,3,7]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,3,5,8,6,1,4,2]=>[2,4,1,6,8,5,3,7]=>[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,3,8,5,6,1,4,2]=>[2,4,1,6,5,8,3,7]=>[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,8,1,5,6,3,4,2]=>[2,4,3,6,5,1,8,7]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,1,8,5,6,3,4,2]=>[2,4,3,6,5,8,1,7]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,1,5,8,6,3,4,2]=>[2,4,3,6,8,5,1,7]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,1,5,3,8,6,4,2]=>[2,4,6,8,3,5,1,7]=>[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,1,5,8,3,6,4,2]=>[2,4,6,3,8,5,1,7]=>[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,8,1,5,3,6,4,2]=>[2,4,6,3,5,1,8,7]=>[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,8,3,5,1,6,4,2]=>[2,4,6,1,5,3,8,7]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,5,8,1,6,4,2]=>[2,4,6,1,8,5,3,7]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,7,5,3,8,6,4,2]=>[2,4,6,8,3,5,7,1]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,7,3,1,8,6,4,2]=>[2,4,6,8,1,3,7,5]=>[2,4,6,1,3,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,7,3,8,6,1,4,2]=>[2,4,1,6,8,3,7,5]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,5,8,1,6,4,2]=>[2,4,6,1,8,5,7,3]=>[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,7,5,8,3,6,4,2]=>[2,4,6,3,8,5,7,1]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,7,8,5,3,6,4,2]=>[2,4,6,3,5,8,7,1]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,7,8,5,1,6,4,2]=>[2,4,6,1,5,8,7,3]=>[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,7,8,3,6,1,4,2]=>[2,4,1,6,3,8,7,5]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,8,6,3,1,4,2]=>[2,4,1,3,6,8,7,5]=>[2,4,1,3,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[7,5,8,6,1,3,4,2]=>[2,4,3,1,6,8,5,7]=>[2,4,3,1,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,7,8,1,6,3,4,2]=>[2,4,3,6,1,8,7,5]=>[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,7,8,1,3,6,4,2]=>[2,4,6,3,1,8,7,5]=>[2,4,6,3,1,7,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,7,1,8,3,6,4,2]=>[2,4,6,3,8,1,7,5]=>[2,4,6,3,1,7,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,7,1,8,6,3,4,2]=>[2,4,3,6,8,1,7,5]=>[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,1,8,6,3,4,2]=>[2,4,3,6,8,1,5,7]=>[2,4,3,6,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,8,1,6,3,4,2]=>[2,4,3,6,1,8,5,7]=>[2,4,3,6,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,8,5,1,6,3,4,2]=>[2,4,3,6,1,5,8,7]=>[2,4,3,6,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,8,5,1,3,6,4,2]=>[2,4,6,3,1,5,8,7]=>[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,5,8,1,3,6,4,2]=>[2,4,6,3,1,8,5,7]=>[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,5,1,8,3,6,4,2]=>[2,4,6,3,8,1,5,7]=>[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,5,1,3,8,6,4,2]=>[2,4,6,8,3,1,5,7]=>[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,7,1,3,8,6,4,2]=>[2,4,6,8,3,1,7,5]=>[2,4,6,3,1,7,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,5,6,2,4,1,8,7]=>[7,8,1,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,4,7,6,2,8,1,3]=>[3,1,8,2,6,7,4,5]=>[3,1,2,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,6,8,1,3,5,2,4]=>[4,2,5,3,1,8,6,7]=>[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,1,5,7,8,4,6,3]=>[3,6,4,8,7,5,1,2]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,6,3,7,5,1,8,4]=>[4,8,1,5,7,3,6,2]=>[4,1,5,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,3,7,2,8,5,1,4]=>[4,1,5,8,2,7,3,6]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,1,4,7,3,8,6]=>[6,8,3,7,4,1,5,2]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,2,3,5,1,8,6,4]=>[4,6,8,1,5,3,2,7]=>[4,6,1,5,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,3,1,7,2,8,6,4]=>[4,6,8,2,7,1,3,5]=>[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,7,8,4,6,3,5]=>[5,3,6,4,8,7,1,2]=>[5,3,6,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,8,7,2,6,4,1]=>[1,4,6,2,7,8,5,3]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,8,2,7,1,6,4,3]=>[3,4,6,1,7,2,8,5]=>[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,1,6,4,5,8,3,7]=>[7,3,8,5,4,6,1,2]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[8,6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6,8]=>[4,1,2,5,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,6,3,8,5,2,1,7]=>[7,1,2,5,8,3,6,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,3,7,5,2,8,1]=>[1,8,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,5,7,8,2,6,1,4]=>[4,1,6,2,8,7,5,3]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,2,4,1,3,8,7]=>[7,8,3,1,4,2,6,5]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[7,6,3,8,5,2,4,1]=>[1,4,2,5,8,3,6,7]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[8,2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2,8]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[7,2,3,4,6,1,8,5]=>[5,8,1,6,4,3,2,7]=>[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[8,2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2,8]=>[6,1,5,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[7,2,3,4,6,8,5,1]=>[1,5,8,6,4,3,2,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,8,3,6,5,1,4,2]=>[2,4,1,5,6,3,8,7]=>[2,4,1,5,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,3,6,1,5,8,7]=>[7,8,5,1,6,3,2,4]=>[7,5,1,6,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,8,3,7,5,1,6,2]=>[2,6,1,5,7,3,8,4]=>[2,6,1,5,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,3,4,7,8,6,1]=>[1,6,8,7,4,3,2,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[8,2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2,8]=>[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,2,3,4,8,7,1,6]=>[6,1,7,8,4,3,2,5]=>[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,2,3,4,6,8,1,7]=>[7,1,8,6,4,3,2,5]=>[7,1,6,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,2,8,5,7,6,1,3]=>[3,1,6,7,5,8,2,4]=>[3,1,6,7,5,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,6,4,5,1,8,2]=>[2,8,1,5,4,6,7,3]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,8,6,4,5,1,2,7]=>[7,2,1,5,4,6,8,3]=>[7,2,1,5,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,7,3,6,5,8,2,1]=>[1,2,8,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,8,3,7,5,2,1,6]=>[6,1,2,5,7,3,8,4]=>[6,1,2,5,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[8,7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7,8]=>[4,2,1,5,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[8,2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2,8]=>[4,3,6,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,2,7,5,8,6,3,1]=>[1,3,6,8,5,7,2,4]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,8,1,7,3,6,4,2]=>[2,4,6,3,7,1,8,5]=>[2,4,6,3,7,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,7,8,4,6,3,1]=>[1,3,6,4,8,7,2,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,8,3,7,6,1,4]=>[4,1,6,7,3,8,2,5]=>[4,1,6,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[8,2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2,8]=>[5,4,6,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,8,3,2,5,7,1,4]=>[4,1,7,5,2,3,8,6]=>[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,3,8,5,4,2,1]=>[1,2,4,5,8,3,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,2,3,4,7,5,8,1]=>[1,8,5,7,4,3,2,6]=>[1,5,7,4,3,2,6]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,3,4,8,5,1,7]=>[7,1,5,8,4,3,2,6]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[8,2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2,8]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,3,4,1,8,5,7]=>[7,5,8,1,4,3,2,6]=>[7,5,1,4,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,4,8,7,5,1]=>[1,5,7,8,4,3,2,6]=>[1,5,7,4,3,2,6]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,8,3,1,5,7,4,2]=>[2,4,7,5,1,3,8,6]=>[2,4,7,5,1,3,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,2,3,4,1,8,6,5]=>[5,6,8,1,4,3,2,7]=>[5,6,1,4,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,3,4,1,5,8,6]=>[6,8,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,5,8,7,1,6,2,4]=>[4,2,6,1,7,8,5,3]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[8,7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7,8]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,8,5,7,4,6,3,1]=>[1,3,6,4,7,5,8,2]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,1,8,5,7,4,2,6]=>[6,2,4,7,5,8,1,3]=>[6,2,4,7,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[8,3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[8,3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3,8]=>[1,7,5,4,2,6,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,8,6,4,3,5,7,1]=>[1,7,5,3,4,6,8,2]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,6,8,3,5,4,7,1]=>[1,7,4,5,3,8,6,2]=>[1,7,4,5,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,7,5,8,4,6,3,1]=>[1,3,6,4,8,5,7,2]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[8,4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4,8]=>[5,3,1,6,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,8,1,7,6,3,2,5]=>[5,2,3,6,7,1,8,4]=>[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,1,7,6,2,3,5,8]=>[8,5,3,2,6,7,1,4]=>[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,1,8,6,2,5,4]=>[4,5,2,6,8,1,7,3]=>[4,5,2,6,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,7,6,4,5,2,8]=>[8,2,5,4,6,7,1,3]=>[2,5,4,6,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,1,7,5,8,4,2,6]=>[6,2,4,8,5,7,1,3]=>[6,2,4,5,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,1,6,8,7,5,2,4]=>[4,2,5,7,8,6,1,3]=>[4,2,5,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,3,8,7,5,2,4,1]=>[1,4,2,5,7,8,3,6]=>[1,4,2,5,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,5,8,4,2,6,1]=>[1,6,2,4,8,5,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,6,4,2,8,5,1]=>[1,5,8,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,8,3,6,2,5,4,1]=>[1,4,5,2,6,3,8,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,8,2,1,6,3,5]=>[5,3,6,1,2,8,4,7]=>[5,3,6,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[8,7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7,8]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,8,5,2,1,4,3,6]=>[6,3,4,1,2,5,8,7]=>[6,3,4,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,2,3,1,4,8,6]=>[6,8,4,1,3,2,5,7]=>[6,4,1,3,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,6,2,3,8,1,5]=>[5,1,8,3,2,6,4,7]=>[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,4,2,5,8,3,7,1]=>[1,7,3,8,5,2,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,1,5,3,8,2,6]=>[6,2,8,3,5,1,7,4]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,7,8,1,3,6,2,5]=>[5,2,6,3,1,8,7,4]=>[5,2,6,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,1,3,4,6,2,8]=>[8,2,6,4,3,1,7,5]=>[2,6,4,3,1,7,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,7,1,4,2,3,6,8]=>[8,6,3,2,4,1,7,5]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,8,1,3,2,4,6,7]=>[7,6,4,2,3,1,8,5]=>[7,6,4,2,3,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,8,6,1,3,2,7,5]=>[5,7,2,3,1,6,8,4]=>[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[8,4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4,8]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,4,8,7,2,3,6,1]=>[1,6,3,2,7,8,4,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,4,8,7,3,1,2,6]=>[6,2,1,3,7,8,4,5]=>[6,2,1,3,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,8,3,7,2,5,4,1]=>[1,4,5,2,7,3,8,6]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,6,8,2,3,7,1]=>[1,7,3,2,8,6,4,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,4,2,8,3,6,1]=>[1,6,3,8,2,4,7,5]=>[1,6,3,2,4,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,4,7,2,1,8,3,5]=>[5,3,8,1,2,7,4,6]=>[5,3,1,2,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,5,3,4,1,2,8,7]=>[7,8,2,1,4,3,5,6]=>[7,2,1,4,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,8,5,4,1,3,2,7]=>[7,2,3,1,4,5,8,6]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,4,3,7,1,5,2,8]=>[8,2,5,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,2,6,1,5,3,8]=>[8,3,5,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,2,5,6,1,3,8]=>[8,3,1,6,5,2,4,7]=>[3,1,6,5,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,4,2,8,1,5,7,3]=>[3,7,5,1,8,2,4,6]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,3,7,8,2,5,1,4]=>[4,1,5,2,8,7,3,6]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,3,5,6,4,2,1,8]=>[8,1,2,4,6,5,3,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,3,1,5,6,2,8]=>[8,2,6,5,1,3,4,7]=>[2,6,5,1,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,4,5,2,6,1,3,8]=>[8,3,1,6,2,5,4,7]=>[3,1,6,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,2,8,6,4,1]=>[1,4,6,8,2,7,3,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,8,2,6,7,4,1]=>[1,4,7,6,2,8,3,5]=>[1,4,7,6,2,3,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,3,8,2,5,4,7,1]=>[1,7,4,5,2,8,3,6]=>[1,7,4,5,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,4,8,2,1,5,7,3]=>[3,7,5,1,2,8,4,6]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,4,3,1,8,2,7,5]=>[5,7,2,8,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,7,8,2,6,4,1]=>[1,4,6,2,8,7,3,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,7,8,5,6,3,2,1]=>[1,2,3,6,5,8,7,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[5,3,7,6,8,2,4,1]=>[1,4,2,8,6,7,3,5]=>[1,4,2,6,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,8,4,6,2,1,3]=>[3,1,2,6,4,8,7,5]=>[3,1,2,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,8,4,3,6,7,1,2]=>[2,1,7,6,3,4,8,5]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,8,6,4,7,2,1,3]=>[3,1,2,7,4,6,8,5]=>[3,1,2,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,8,6,2,7,4,1]=>[1,4,7,2,6,8,3,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,7,5,8,6,3,2,1]=>[1,2,3,6,8,5,7,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[6,3,8,7,2,4,1,5]=>[5,1,4,2,7,8,3,6]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,8,7,2,6,4,1]=>[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,8,6,7,2,4,1]=>[1,4,2,7,6,8,3,5]=>[1,4,2,7,6,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,7,8,6,2,4,1]=>[1,4,2,6,8,7,3,5]=>[1,4,2,6,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,6,4,8,2,1,3]=>[3,1,2,8,4,6,7,5]=>[3,1,2,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,8,4,6,7,2,1,3]=>[3,1,2,7,6,4,8,5]=>[3,1,2,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,4,2,8,1,7,3,5]=>[5,3,7,1,8,2,4,6]=>[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,2,4,3,7,8,1]=>[1,8,7,3,4,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,6,2,8,7,1,3]=>[3,1,7,8,2,6,4,5]=>[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,3,8,7,2,4,1]=>[1,4,2,7,8,3,6,5]=>[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,7,4,3,1,8,2,5]=>[5,2,8,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,7,4,3,6,8,1,2]=>[2,1,8,6,3,4,7,5]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,3,8,6,2,4,1]=>[1,4,2,6,8,3,7,5]=>[1,4,2,6,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[4,6,8,5,7,3,2,1]=>[1,2,3,7,5,8,6,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[5,6,8,3,7,2,4,1]=>[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,4,6,8,2,7,1,3]=>[3,1,7,2,8,6,4,5]=>[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,8,5,7,1,4,2]=>[2,4,1,7,5,8,6,3]=>[2,4,1,7,5,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,8,4,5,1,3,2,6]=>[6,2,3,1,5,4,8,7]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,1,3,2,5,4,8]=>[8,4,5,2,3,1,7,6]=>[4,5,2,3,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,1,4,3,5,2,8]=>[8,2,5,3,4,1,7,6]=>[2,5,3,4,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,8,2,3,1,5,4,6]=>[6,4,5,1,3,2,8,7]=>[6,4,5,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,8,2,4,3,5,1,6]=>[6,1,5,3,4,2,8,7]=>[6,1,5,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,8,2,4,1,5,3,6]=>[6,3,5,1,4,2,8,7]=>[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,6,5,7,3,8]=>[8,3,7,5,6,2,4,1]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,6,1,4,2,7,3,8]=>[8,3,7,2,4,1,6,5]=>[3,7,2,4,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,4,1,5,3,8]=>[8,3,5,1,4,2,7,6]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,2,4,3,5,1,8]=>[8,1,5,3,4,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,7,2,3,1,5,4,8]=>[8,4,5,1,3,2,7,6]=>[4,5,1,3,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,3,5,4,8,1,2]=>[2,1,8,4,5,3,7,6]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,4,1,6,5,7,3,8]=>[8,3,7,5,6,1,4,2]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,5,2,6,4,7,3,8]=>[8,3,7,4,6,2,5,1]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,5,1,6,4,7,3,8]=>[8,3,7,4,6,1,5,2]=>[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,6,5,7,4,8,1,2]=>[2,1,8,4,7,5,6,3]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,6,2,4,3,7,1,8]=>[8,1,7,3,4,2,6,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,5,2,6,1,7,3,8]=>[8,3,7,1,6,2,5,4]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,5,1,6,3,7,2,8]=>[8,2,7,3,6,1,5,4]=>[2,7,3,6,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,5,3,6,1,7,2,8]=>[8,2,7,1,6,3,5,4]=>[2,7,1,6,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,3,4,1,7,2,8]=>[8,2,7,1,4,3,6,5]=>[2,7,1,4,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,1,4,3,7,2,8]=>[8,2,7,3,4,1,6,5]=>[2,7,3,4,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,6,1,3,2,7,4,8]=>[8,4,7,2,3,1,6,5]=>[4,7,2,3,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,6,4,7,1,3,2,8]=>[8,2,3,1,7,4,6,5]=>[2,3,1,7,4,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,5,8,1,3,2,4]=>[4,2,3,1,8,5,7,6]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,1,3,2,7,6,8]=>[8,6,7,2,3,1,5,4]=>[6,7,2,3,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,5,7,1,3,2,8]=>[8,2,3,1,7,5,6,4]=>[2,3,1,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,1,3,2,7,5,8]=>[8,5,7,2,3,1,6,4]=>[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,4,3,6,2,7,5,8]=>[8,5,7,2,6,3,4,1]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,4,1,6,5,7,2,8]=>[8,2,7,5,6,1,4,3]=>[2,7,5,6,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,5,2,3,1,7,6,8]=>[8,6,7,1,3,2,5,4]=>[6,7,1,3,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,5,3,7,6,8,1,2]=>[2,1,8,6,7,3,5,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,5,7,3,8,1,2]=>[2,1,8,3,7,5,6,4]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,6,5,7,2,3,1,8]=>[8,1,3,2,7,5,6,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[3,5,1,6,4,7,2,8]=>[8,2,7,4,6,1,5,3]=>[2,7,4,6,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,5,3,6,4,7,2,8]=>[8,2,7,4,6,3,5,1]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,5,3,6,2,7,4,8]=>[8,4,7,2,6,3,5,1]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,2,6,1,7,4,8]=>[8,4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,5,2,6,4,7,1,8]=>[8,1,7,4,6,2,5,3]=>[1,7,4,6,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,4,2,6,1,7,5,8]=>[8,5,7,1,6,2,4,3]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,3,1,7,5,8]=>[8,5,7,1,3,2,6,4]=>[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,3,6,1,7,5,8]=>[8,5,7,1,6,3,4,2]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,5,3,6,4,7,1,8]=>[8,1,7,4,6,3,5,2]=>[1,7,4,6,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,6,1,7,4,8]=>[8,4,7,1,6,3,5,2]=>[4,7,1,6,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,6,2,7,5,4,8,1]=>[1,8,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,4,6,8,5,7,2,1]=>[1,2,7,5,8,6,4,3]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[4,2,5,7,3,1,8,6]=>[6,8,1,3,7,5,2,4]=>[6,1,3,7,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,6,2,8,7,3,1]=>[1,3,7,8,2,6,5,4]=>[1,3,7,2,6,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,5,6,8,1,7,4,3]=>[3,4,7,1,8,6,5,2]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,5,6,1,8,7,3,2]=>[2,3,7,8,1,6,5,4]=>[2,3,7,1,6,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,5,6,3,1,8,7,2]=>[2,7,8,1,3,6,5,4]=>[2,7,1,3,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,6,2,1,7,5,8]=>[8,5,7,1,2,6,3,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,6,3,2,1,7,5,8]=>[8,5,7,1,2,3,6,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,6,3,1,7,5,2,8]=>[8,2,5,7,1,3,6,4]=>[2,5,7,1,3,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,5,3,7,6,1,8,2]=>[2,8,1,6,7,3,5,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,5,1,7,3,8,6,2]=>[2,6,8,3,7,1,5,4]=>[2,6,3,7,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,5,7,1,4,3,8,6]=>[6,8,3,4,1,7,5,2]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,5,7,6,1,8,2]=>[2,8,1,6,7,5,3,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,2,6,1,7,5,8]=>[8,5,7,1,6,2,3,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,3,1,6,2,7,4,8]=>[8,4,7,2,6,1,3,5]=>[4,7,2,6,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,3,2,7,4,8]=>[8,4,7,2,3,6,1,5]=>[4,7,2,3,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,6,1,4,7,5,3,8]=>[8,3,5,7,4,1,6,2]=>[3,5,7,4,1,6,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,6,1,7,4,2,5,8]=>[8,5,2,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,1,7,5,3,2,8]=>[8,2,3,5,7,1,6,4]=>[2,3,5,7,1,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,1,6,3,7,4,2,8]=>[8,2,4,7,3,6,1,5]=>[2,4,7,3,6,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,6,4,2,1,7,8]=>[8,7,1,2,4,6,3,5]=>[7,1,2,4,6,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,3,2,6,4,1,7,8]=>[8,7,1,4,6,2,3,5]=>[7,1,4,6,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,6,3,1,7,4,8]=>[8,4,7,1,3,6,2,5]=>[4,7,1,3,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,3,1,7,8,5]=>[5,8,7,1,3,6,2,4]=>[5,7,1,3,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,6,2,1,7,4,5,8]=>[8,5,4,7,1,2,6,3]=>[5,4,7,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,2,7,4,1,5,8]=>[8,5,1,4,7,2,6,3]=>[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,7,2,8,6,4,1]=>[1,4,6,8,2,7,5,3]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[2,4,7,1,3,6,5,8]=>[8,5,6,3,1,7,4,2]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,6,1,3,7,5,4,8]=>[8,4,5,7,3,1,6,2]=>[4,5,7,3,1,6,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,6,1,7,5,2,4,8]=>[8,4,2,5,7,1,6,3]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,6,2,7,4,3,8]=>[8,3,4,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,2,6,4,3,1,7,8]=>[8,7,1,3,4,6,2,5]=>[7,1,3,4,6,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,2,1,6,4,3,7,8]=>[8,7,3,4,6,1,2,5]=>[7,3,4,6,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,4,2,1,6,3,7,8]=>[8,7,3,6,1,2,4,5]=>[7,3,6,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,4,2,6,3,1,7,8]=>[8,7,1,3,6,2,4,5]=>[7,1,3,6,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,4,1,6,2,7,3,8]=>[8,3,7,2,6,1,4,5]=>[3,7,2,6,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,4,2,7,3,8]=>[8,3,7,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,6,1,7,5,4,8,2]=>[2,8,4,5,7,1,6,3]=>[2,4,5,7,1,6,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,6,1,5,4,3,7,8]=>[8,7,3,4,5,1,6,2]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,1,6,2,5,4,7,8]=>[8,7,4,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,6,4,3,2,7,8]=>[8,7,2,3,4,6,1,5]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,1,6,3,2,7,8]=>[8,7,2,3,6,1,4,5]=>[7,2,3,6,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,4,3,1,6,2,7,8]=>[8,7,2,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[8,2,1,7,6,5,4,3,9]=>[9,3,4,5,6,7,1,2,8]=>[3,4,5,6,7,1,2,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,3,1,6,5,4,8,2]=>[2,8,4,5,6,1,3,7]=>[2,4,5,6,1,3,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,2,8,1,5,4,3,6]=>[6,3,4,5,1,8,2,7]=>[6,3,4,5,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,2,7,6,5,8,1,3]=>[3,1,8,5,6,7,2,4]=>[3,1,5,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,8,2,6,5,4,1,7]=>[7,1,4,5,6,2,8,3]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[10,1,11,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,11,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[9,2,1,8,7,6,5,4,3,10]=>[10,3,4,5,6,7,8,1,2,9]=>[3,4,5,6,7,8,1,2,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]
[7,3,2,1,5,4,6,8]=>[8,6,4,5,1,2,3,7]=>[6,4,5,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,2,8,6,1,4,3,5]=>[5,3,4,1,6,8,2,7]=>[5,3,4,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,2,7,6,8,4,1,3]=>[3,1,4,8,6,7,2,5]=>[3,1,4,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,8,7,2,5,4,1,6]=>[6,1,4,5,2,7,8,3]=>[6,1,4,5,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,2,9,8,7,6,5,4,1,10]=>[10,1,4,5,6,7,8,9,2,3]=>[1,4,5,6,7,8,9,2,3]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[2,11,10,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,10,11,2]=>[3,1,4,5,6,7,8,9,10,2]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]
[11,1,12,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,12,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]]
[7,5,1,6,8,4,3,2]=>[2,3,4,8,6,1,5,7]=>[2,3,4,6,1,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,4,2,1,5,6,3,8]=>[8,3,6,5,1,2,4,7]=>[3,6,5,1,2,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,2,8,6,5,1,3,4]=>[4,3,1,5,6,8,2,7]=>[4,3,1,5,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,3,2,6,7,4,1,8]=>[8,1,4,7,6,2,3,5]=>[1,4,7,6,2,3,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,3,7,2,5,6,1,8]=>[8,1,6,5,2,7,3,4]=>[1,6,5,2,7,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,12,11,10,9,8,7,6,5,4,1,3]=>[3,1,4,5,6,7,8,9,10,11,12,2]=>[3,1,4,5,6,7,8,9,10,11,2]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]
[5,3,1,7,8,4,2,6]=>[6,2,4,8,7,1,3,5]=>[6,2,4,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,7,1,8,3,4,2,5]=>[5,2,4,3,8,1,7,6]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[7,8,3,5,1,4,2,6]=>[6,2,4,1,5,3,8,7]=>[6,2,4,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,7,1,8,3,4]=>[4,3,8,1,7,2,6,5]=>[4,3,1,7,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,2,4,3,8,1,5]=>[5,1,8,3,4,2,7,6]=>[5,1,3,4,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,4,3,8,6,7,1,5]=>[5,1,7,6,8,3,4,2]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,8,2,7,4,5,3,6]=>[6,3,5,4,7,2,8,1]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,4,8,3,6,1,7]=>[7,1,6,3,8,4,5,2]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,3,1,8,5,6,4,7]=>[7,4,6,5,8,1,3,2]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,3,6,4,8,1,2]=>[2,1,8,4,6,3,7,5]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,3,1,6,4,8]=>[8,4,6,1,3,2,7,5]=>[4,6,1,3,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,2,4,3,6,1,8]=>[8,1,6,3,4,2,7,5]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,1,5,3,8]=>[8,3,5,1,7,2,6,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,7,1,6,2,5,3,8]=>[8,3,5,2,6,1,7,4]=>[3,5,2,6,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,7,1,5,3,6,2,8]=>[8,2,6,3,5,1,7,4]=>[2,6,3,5,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,6,3,5,1,7,2,8]=>[8,2,7,1,5,3,6,4]=>[2,7,1,5,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,3,5,1,4,2,8]=>[8,2,4,1,5,3,7,6]=>[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,6,3,7,1,4,2,8]=>[8,2,4,1,7,3,6,5]=>[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,7,1,6,3,4,2,8]=>[8,2,4,3,6,1,7,5]=>[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,8,5,6,3,4,2,7]=>[7,2,4,3,6,5,8,1]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,8,5,6,4,7,2,3]=>[3,2,7,4,6,5,8,1]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,7,1,6,4,8,2,3]=>[3,2,8,4,6,1,7,5]=>[3,2,4,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,8,1,7,2,3]=>[3,2,7,1,8,5,6,4]=>[3,2,7,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,1,4,2,8,5,6]=>[6,5,8,2,4,1,7,3]=>[6,5,2,4,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,1,4,2,8,6,7]=>[7,6,8,2,4,1,5,3]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,5,8,3,7,1,2]=>[2,1,7,3,8,5,6,4]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,6,5,8,2,3,1,7]=>[7,1,3,2,8,5,6,4]=>[7,1,3,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,4,2,6,5,8,1,7]=>[7,1,8,5,6,2,4,3]=>[7,1,5,6,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,4,6,2,8,1,7]=>[7,1,8,2,6,4,5,3]=>[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[1,8,3,5,4,7,2,6]=>[6,2,7,4,5,3,8,1]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,4,2,7,1,8,5,6]=>[6,5,8,1,7,2,4,3]=>[6,5,1,7,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,7,2,3,1,8,5,6]=>[6,5,8,1,3,2,7,4]=>[6,5,1,3,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,3,8,1,7,5,6]=>[6,5,7,1,8,3,4,2]=>[6,5,7,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,3,8,4,7,1,6]=>[6,1,7,4,8,3,5,2]=>[6,1,7,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,6,3,8,1,7,4,5]=>[5,4,7,1,8,3,6,2]=>[5,4,7,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,7,1,8,3,6,4,5]=>[5,4,6,3,8,1,7,2]=>[5,4,6,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,8,3,5,7,1,4,2]=>[2,4,1,7,5,3,8,6]=>[2,4,1,7,5,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,1,8,4,5,3,7]=>[7,3,5,4,8,1,6,2]=>[7,3,5,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,8,4,5,2,7,3]=>[3,7,2,5,4,8,6,1]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,8,1,2,3,4,6,5]=>[5,6,4,3,2,1,8,7]=>[5,6,4,3,2,1,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,6,4,5,8,3,7,1]=>[1,7,3,8,5,4,6,2]=>[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[3,7,8,1,5,6,2,4]=>[4,2,6,5,1,8,7,3]=>[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,1,7,3,2,5,8]=>[8,5,2,3,7,1,6,4]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,7,3,4,8,6,2]=>[2,6,8,4,3,7,5,1]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,2,3,4,5,8,6,1]=>[1,6,8,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,4,8,3,6,7,1,2]=>[2,1,7,6,3,8,4,5]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,5,4,3,8,1,7,2]=>[2,7,1,8,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,1,3,2,9]=>[9,2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[1,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,2,7,4,1,6,3,8]=>[8,3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,7,3,1,5,6,2,8]=>[8,2,6,5,1,3,7,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,8,3,4,1,6,7,2]=>[2,7,6,1,4,3,8,5]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,5,8,4,2,6,7,3]=>[3,7,6,2,4,8,5,1]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,6,3,8,5,2,7,4]=>[4,7,2,5,8,3,6,1]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,3,7,1,6,4,8]=>[8,4,6,1,7,3,2,5]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,3,7,5,1,4,8]=>[8,4,1,5,7,3,2,6]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,4,8,6,2,5]=>[5,2,6,8,4,3,7,1]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,2,3,4,8,1,7,5]=>[5,7,1,8,4,3,2,6]=>[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[8,7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7,8]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[8,5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5,8]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9]=>[4,5,6,1,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[9,8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8,9]=>[5,3,2,6,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[9,8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8,9]=>[6,4,7,2,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7]=>[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[10,9,8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[10,9,8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8,9,10]=>[4,5,6,1,2,3,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]
[10,9,4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4,9,10]=>[5,6,7,8,1,2,3,4,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]
[10,9,2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2,9,10]=>[7,8,5,6,3,4,1,2,9]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]]
[10,7,1,9,2,3,4,5,6,8]=>[8,6,5,4,3,2,9,1,7,10]=>[8,6,5,4,3,2,9,1,7]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[8,1,10,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,10,1,8]=>[9,7,6,5,4,3,2,1,8]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[4,5,6,1,7,3,8,2]=>[2,8,3,7,1,6,5,4]=>[2,3,7,1,6,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,2,7,5,4,8,3,6]=>[6,3,8,4,5,7,2,1]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[3,2,7,5,4,8,1,6]=>[6,1,8,4,5,7,2,3]=>[6,1,4,5,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,4,8,1,3,7,5,6]=>[6,5,7,3,1,8,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,5,8,1,7,3,6,4]=>[4,6,3,7,1,8,5,2]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,8,1,5,7,3,6,4]=>[4,6,3,7,5,1,8,2]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[8,3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3,8]=>[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,8,6,1,4,7,5,2]=>[2,5,7,4,1,6,8,3]=>[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[2,6,8,1,5,7,3,4]=>[4,3,7,5,1,8,6,2]=>[4,3,7,5,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,7,1,5,8,3,4,6]=>[6,4,3,8,5,1,7,2]=>[6,4,3,5,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,7,1,6,3,8,4,5]=>[5,4,8,3,6,1,7,2]=>[5,4,3,6,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,7,6,1,8,5,2,3]=>[3,2,5,8,1,6,7,4]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,5,8,1,2,6,4]=>[4,6,2,1,8,5,7,3]=>[4,6,2,1,5,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,3,6,1,2,8,4,5]=>[5,4,8,2,1,6,3,7]=>[5,4,2,1,6,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,4,8,1,6,5,2,3]=>[3,2,5,6,1,8,4,7]=>[3,2,5,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,6,1,8,2,5,3]=>[3,5,2,8,1,6,4,7]=>[3,5,2,1,6,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,4,5,8,6,1,2,3]=>[3,2,1,6,8,5,4,7]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,8,4,5,1,7,2,3]=>[3,2,7,1,5,4,8,6]=>[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,8,5,1,7,2,3]=>[3,2,7,1,5,8,6,4]=>[3,2,7,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,1,7,6,2,3,8,4]=>[4,8,3,2,6,7,1,5]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,7,6,2,8,3,4]=>[4,3,8,2,6,7,1,5]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,8,7,6,2,3,4]=>[4,3,2,6,7,8,1,5]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[8,5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5,8]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[8,5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5,8]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,6,1,8,4,7,5,2]=>[2,5,7,4,8,1,6,3]=>[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,6,1,8,7,5,2,3]=>[3,2,5,7,8,1,6,4]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[8,4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4,8]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,8,5,1,7,2,3,6]=>[6,3,2,7,1,5,8,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,1,8,7,2,3,6]=>[6,3,2,7,8,1,5,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,8,7,1,2,5,6]=>[6,5,2,1,7,8,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,8,4,1,7,2,3,6]=>[6,3,2,7,1,4,8,5]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[8,6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6,8]=>[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,4,8,7,1,2,5,3]=>[3,5,2,1,7,8,4,6]=>[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,6,8,3,7,1,4,2]=>[2,4,1,7,3,8,6,5]=>[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,1,2,8,5,3]=>[3,5,8,2,1,7,4,6]=>[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,5,1,2,7,3,8,4]=>[4,8,3,7,2,1,5,6]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[6,5,1,8,2,7,3,4]=>[4,3,7,2,8,1,5,6]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6,8]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6,8]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,5,1,8,7,2,3,4]=>[4,3,2,7,8,1,5,6]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,5,1,7,2,8,3,4]=>[4,3,8,2,7,1,5,6]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,5,1,7,2,3,8,4]=>[4,8,3,2,7,1,5,6]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,7,4,1,8,2,3,6]=>[6,3,2,8,1,4,7,5]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,6,8,7,4,1,2,3]=>[3,2,1,4,7,8,6,5]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,8,5,7,4,1,2,3]=>[3,2,1,4,7,5,8,6]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,2,6,7,4,1,8,5]=>[5,8,1,4,7,6,2,3]=>[5,1,4,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,2,7,1,4,8,3]=>[3,8,4,1,7,2,6,5]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,3,8,1,7,4,5]=>[5,4,7,1,8,3,2,6]=>[5,4,7,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,1,8,2,5,7,3,6]=>[6,3,7,5,2,8,1,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,8,4,7,2,5,6]=>[6,5,2,7,4,8,1,3]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,2,3,8,4,1,7,5]=>[5,7,1,4,8,3,2,6]=>[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,4,1,5,3,8,7]=>[7,8,3,5,1,4,6,2]=>[7,3,5,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,2,7,6,4,1,8,5]=>[5,8,1,4,6,7,2,3]=>[5,1,4,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,1,7,6,8,3]=>[3,8,6,7,1,4,5,2]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,1,4,7,8,3,5]=>[5,3,8,7,4,1,2,6]=>[5,3,7,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,5,1,7,8,3,4]=>[4,3,8,7,1,5,6,2]=>[4,3,7,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,7,5,2,1,6,3,8]=>[8,3,6,1,2,5,7,4]=>[3,6,1,2,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,3,7,8,1,6,5]=>[5,6,1,8,7,3,2,4]=>[5,6,1,7,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,8,3,1,7,2,4,6]=>[6,4,2,7,1,3,8,5]=>[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,8,3,1,5,2,4,7]=>[7,4,2,5,1,3,8,6]=>[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,2,7,1,6,3,5,8]=>[8,5,3,6,1,7,2,4]=>[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,7,4,2,6,3,8]=>[8,3,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,8,4,2,1,5,3,7]=>[7,3,5,1,2,4,8,6]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,8,5,2,1,7,3,4]=>[4,3,7,1,2,5,8,6]=>[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,8,2,1,4,7,3,6]=>[6,3,7,4,1,2,8,5]=>[6,3,7,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,8,3,2,5,1,7,4]=>[4,7,1,5,2,3,8,6]=>[4,7,1,5,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,8,4,3,1,5,7,2]=>[2,7,5,1,3,4,8,6]=>[2,7,5,1,3,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,8,4,2,1,5,7,3]=>[3,7,5,1,2,4,8,6]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,8,3,2,1,4,5,7]=>[7,5,4,1,2,3,8,6]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,1,7,3,2,4,6,8]=>[8,6,4,2,3,7,1,5]=>[6,4,2,3,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,2,1,8,3,6,7,4]=>[4,7,6,3,8,1,2,5]=>[4,7,6,3,1,2,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,3,8,1,6,2,7,5]=>[5,7,2,6,1,8,3,4]=>[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,7,2,1,6,8,3]=>[3,8,6,1,2,7,4,5]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,1,7,3,4,8,6]=>[6,8,4,3,7,1,2,5]=>[6,4,3,7,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,4,3,1,7,5,8,2]=>[2,8,5,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,1,7,2,6,8,4]=>[4,8,6,2,7,1,3,5]=>[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,1,7,6,4,8,5]=>[5,8,4,6,7,1,2,3]=>[5,4,6,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,2,1,6,5,8,3,7]=>[7,3,8,5,6,1,2,4]=>[7,3,5,6,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,2,1,8,5,7,3,6]=>[6,3,7,5,8,1,2,4]=>[6,3,7,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,4,3,1,8,5,6,2]=>[2,6,5,8,1,3,4,7]=>[2,6,5,1,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,4,2,1,8,5,6,3]=>[3,6,5,8,1,2,4,7]=>[3,6,5,1,2,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,3,2,1,7,4,5,8]=>[8,5,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,4,2,1,7,5,3,8]=>[8,3,5,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,2,1,8,6,3,4]=>[4,3,6,8,1,2,5,7]=>[4,3,6,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,1,8,4,2,7,3,5]=>[5,3,7,2,4,8,1,6]=>[5,3,7,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,2,1,8,3,7,4,5]=>[5,4,7,3,8,1,2,6]=>[5,4,7,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,2,1,7,3,6,4,8]=>[8,4,6,3,7,1,2,5]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,3,2,7,6,1,4,8]=>[8,4,1,6,7,2,3,5]=>[4,1,6,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,3,2,8,6,1,4,7]=>[7,4,1,6,8,2,3,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,8,7,1,4,5]=>[5,4,1,7,8,2,3,6]=>[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,2,8,1,7,3,5,6]=>[6,5,3,7,1,8,2,4]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,3,8,7,2,1,5,6]=>[6,5,1,2,7,8,3,4]=>[6,5,1,2,7,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,1,5,8,4,7,3,6]=>[6,3,7,4,8,5,1,2]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,3,2,5,8,1,6,7]=>[7,6,1,8,5,2,3,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,3,2,5,7,1,6,8]=>[8,6,1,7,5,2,3,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,3,1,6,2,7,5,8]=>[8,5,7,2,6,1,3,4]=>[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,1,7,2,8,5,6]=>[6,5,8,2,7,1,3,4]=>[6,5,2,7,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,1,7,2,8,6,3]=>[3,6,8,2,7,1,4,5]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,5,3,1,7,8,4,2]=>[2,4,8,7,1,3,5,6]=>[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,2,1,7,8,3,5]=>[5,3,8,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,4,2,1,6,7,3,8]=>[8,3,7,6,1,2,4,5]=>[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,3,2,1,6,7,4,8]=>[8,4,7,6,1,2,3,5]=>[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,4,2,1,7,8,5,3]=>[3,5,8,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,2,6,8,1,7,4]=>[4,7,1,8,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]=>[6,5,7,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,2,1,4,6,8,5,7]=>[7,5,8,6,4,1,2,3]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,3,2,6,1,7,8,5]=>[5,8,7,1,6,2,3,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,1,6,7,8,4]=>[4,8,7,6,1,2,3,5]=>[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[8,6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6,8]=>[3,2,7,5,4,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,2,8,3,7,4,6,1]=>[1,6,4,7,3,8,2,5]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,2,8,5,4,7,3,1]=>[1,3,7,4,5,8,2,6]=>[1,3,7,4,5,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,8,6,5,7,2,3,4]=>[4,3,2,7,5,6,8,1]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,2,8,4,3,6,7,1]=>[1,7,6,3,4,8,2,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,4,2,7,3,6,1,8]=>[8,1,6,3,7,2,4,5]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,2,8,3,6,1,7]=>[7,1,6,3,8,2,4,5]=>[7,1,6,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,5,3,8,4,7,2,1]=>[1,2,7,4,8,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,8,4,3,7,1,6]=>[6,1,7,3,4,8,2,5]=>[6,1,7,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,2,8,3,7,4,1,5]=>[5,1,4,7,3,8,2,6]=>[5,1,4,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,4,2,7,3,1,8,6]=>[6,8,1,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,4,3,7,1,2,8,5]=>[5,8,2,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,4,3,8,1,2,7,5]=>[5,7,2,1,8,3,4,6]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,6,3,8,4,2,1,5]=>[5,1,2,4,8,3,6,7]=>[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,5,1,6,3,4]=>[4,3,6,1,5,8,2,7]=>[4,3,6,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,2,8,4,3,1,5,6]=>[6,5,1,3,4,8,2,7]=>[6,5,1,3,4,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,5,3,8,4,2,6,1]=>[1,6,2,4,8,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,2,7,3,1,5,8]=>[8,5,1,3,7,2,4,6]=>[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,6,4,8,2,3,5,1]=>[1,5,3,2,8,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,8,1,2,5,3,4]=>[4,3,5,2,1,8,6,7]=>[4,3,5,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,3,1,7,8,4,6,2]=>[2,6,4,8,7,1,3,5]=>[2,6,4,7,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,3,2,7,8,4,6,1]=>[1,6,4,8,7,2,3,5]=>[1,6,4,7,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,1,6,3,8,7,2]=>[2,7,8,3,6,1,4,5]=>[2,7,3,6,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,5,1,7,8,2,3,4]=>[4,3,2,8,7,1,5,6]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[6,3,1,7,8,4,2,5]=>[5,2,4,8,7,1,3,6]=>[5,2,4,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,3,2,7,8,4,1,5]=>[5,1,4,8,7,2,3,6]=>[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,2,1,6,3,8,4]=>[4,8,3,6,1,2,7,5]=>[4,3,6,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,2,6,4,5,8,3,7]=>[7,3,8,5,4,6,2,1]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[6,5,1,4,2,3,8,7]=>[7,8,3,2,4,1,5,6]=>[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,1,8,7,3,6,4,5]=>[5,4,6,3,7,8,1,2]=>[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,8,7,4,2,6,1]=>[1,6,2,4,7,8,5,3]=>[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[7,5,1,8,4,2,6,3]=>[3,6,2,4,8,1,5,7]=>[3,6,2,4,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,6,8,5,2,7,4,1]=>[1,4,7,2,5,8,6,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[2,1,6,5,4,8,3,7]=>[7,3,8,4,5,6,1,2]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,1,7,8,4,6,5,3]=>[3,5,6,4,8,7,1,2]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,1,7,4,3,5,8,6]=>[6,8,5,3,4,7,1,2]=>[6,5,3,4,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,5,7,8,4,6,1,2]=>[2,1,6,4,8,7,5,3]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[7,5,2,8,4,6,3,1]=>[1,3,6,4,8,2,5,7]=>[1,3,6,4,2,5,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[8,6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6,8]=>[4,1,7,5,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,8,2,4,3,1,5,6]=>[6,5,1,3,4,2,8,7]=>[6,5,1,3,4,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,6,3,8,1,5,4,2]=>[2,4,5,1,8,3,6,7]=>[2,4,5,1,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,2,7,1,3,5,8,4]=>[4,8,5,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,1,8,2,3,5,4,7]=>[7,4,5,3,2,8,1,6]=>[7,4,5,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,2,4,1,6,3,8,5]=>[5,8,3,6,1,4,2,7]=>[5,3,6,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[8,4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4,8]=>[6,2,5,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,3,1,4,6,8,5,2]=>[2,5,8,6,4,1,3,7]=>[2,5,6,4,1,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,3,8,5,2,6,4,1]=>[1,4,6,2,5,8,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,8,7,1,6,5,2]=>[2,5,6,1,7,8,3,4]=>[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,7,1,8,5,2,6,3]=>[3,6,2,5,8,1,7,4]=>[3,6,2,5,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,2,4,7,8,6,1]=>[1,6,8,7,4,2,3,5]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,3,4,2,8,7,1,6]=>[6,1,7,8,2,4,3,5]=>[6,1,7,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,2,4,3,6,8,1,7]=>[7,1,8,6,3,4,2,5]=>[7,1,6,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,8,6,5,4,1,2,7]=>[7,2,1,4,5,6,8,3]=>[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,7,5,6,3,8,2,1]=>[1,2,8,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,8,5,7,2,3,1,6]=>[6,1,3,2,7,5,8,4]=>[6,1,3,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,2,7,5,8,3,6,1]=>[1,6,3,8,5,7,2,4]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,8,5,7,1,4,6,2]=>[2,6,4,1,7,5,8,3]=>[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,8,2,7,3,4,6,1]=>[1,6,4,3,7,2,8,5]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,8,2,5,4,3,1,7]=>[7,1,3,4,5,2,8,6]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,2,4,5,3,8,1]=>[1,8,3,5,4,2,7,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,7,2,8,3,6,1,4]=>[4,1,6,3,8,2,7,5]=>[4,1,6,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,1,3,6,4,2,8,7]=>[7,8,2,4,6,3,1,5]=>[7,2,4,6,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,1,8,7,4,6,2,3]=>[3,2,6,4,7,8,1,5]=>[3,2,6,4,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,8,3,7,5,4,2,1]=>[1,2,4,5,7,3,8,6]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[6,1,3,4,7,5,8,2]=>[2,8,5,7,4,3,1,6]=>[2,5,7,4,3,1,6]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,3,2,1,4,8,5,7]=>[7,5,8,4,1,2,3,6]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[6,2,3,1,4,7,8,5]=>[5,8,7,4,1,3,2,6]=>[5,7,4,1,3,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,2,1,4,8,7,5,3]=>[3,5,7,8,4,1,2,6]=>[3,5,7,4,1,2,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,2,8,3,5,7,4,1]=>[1,4,7,5,3,8,2,6]=>[1,4,7,5,3,2,6]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[5,2,1,3,6,4,8,7]=>[7,8,4,6,3,1,2,5]=>[7,4,6,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,1,8,3,5,4,6,2]=>[2,6,4,5,3,8,1,7]=>[2,6,4,5,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,1,2,4,8,5,6,3]=>[3,6,5,8,4,2,1,7]=>[3,6,5,4,2,1,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[7,1,3,2,4,8,6,5]=>[5,6,8,4,2,3,1,7]=>[5,6,4,2,3,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,2,1,3,4,5,8,6]=>[6,8,5,4,3,1,2,7]=>[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,8,1,5,4,3,2]=>[2,3,4,5,1,8,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,1,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,1,7]=>[2,3,4,5,6,8,1,7]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[6,1,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,1,6]=>[2,3,4,5,7,8,1,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,8,7,6,1,3,2]=>[2,3,1,6,7,8,4,5]=>[2,3,1,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,1,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,1,5]=>[2,3,4,6,7,8,1,5]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,1,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,1,4]=>[2,3,5,6,7,8,1,4]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,3]=>[2,4,5,6,7,8,1,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,6,1,8,5,4,3,2]=>[2,3,4,5,8,1,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[8,1,10,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,10,1,8]=>[2,3,4,5,6,7,9,1,8]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[6,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,6]=>[2,3,4,7,1,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,1,10,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,10,1,7]=>[2,3,4,5,6,8,9,1,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[6,1,10,9,8,7,5,4,3,2]=>[2,3,4,5,7,8,9,10,1,6]=>[2,3,4,5,7,8,9,1,6]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[6,5,8,7,4,1,3,2]=>[2,3,1,4,7,8,5,6]=>[2,3,1,4,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,1,10,9,8,7,6,4,3,2]=>[2,3,4,6,7,8,9,10,1,5]=>[2,3,4,6,7,8,9,1,5]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[4,1,10,9,8,7,6,5,3,2]=>[2,3,5,6,7,8,9,10,1,4]=>[2,3,5,6,7,8,9,1,4]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[3,2,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,2,3]=>[1,4,5,6,7,8,2,3]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,1,3]=>[2,4,5,6,7,8,9,1,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]
[4,8,6,3,7,5,1,2]=>[2,1,5,7,3,6,8,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,4,8,3,7,1,6,2]=>[2,6,1,7,3,8,4,5]=>[2,6,1,7,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,8,4,3,1,2,6,5]=>[5,6,2,1,3,4,8,7]=>[5,6,2,1,3,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,5,1,4,3,2,8,7]=>[7,8,2,3,4,1,5,6]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,1,4,7,3,8]=>[8,3,7,4,1,5,6,2]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,6,4,5,2,1,8,7]=>[7,8,1,2,5,4,6,3]=>[7,1,2,5,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,7,4,1,3,8,6,2]=>[2,6,8,3,1,4,7,5]=>[2,6,3,1,4,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,5,4,2,3,8,1,6]=>[6,1,8,3,2,4,5,7]=>[6,1,3,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,2,6,7,3,1,4,8]=>[8,4,1,3,7,6,2,5]=>[4,1,3,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,4,3,8,6,1,5,7]=>[7,5,1,6,8,3,4,2]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[7,8,1,3,5,6,2,4]=>[4,2,6,5,3,1,8,7]=>[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,8,3,1,5,6,2,4]=>[4,2,6,5,1,3,8,7]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,1,3,8,5,6,2,4]=>[4,2,6,5,8,3,1,7]=>[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,7,8,3,5,6,2,4]=>[4,2,6,5,3,8,7,1]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,1,7,8,3,4,6,2]=>[2,6,4,3,8,7,1,5]=>[2,6,4,3,7,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[1,5,7,8,3,4,6,2]=>[2,6,4,3,8,7,5,1]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[3,7,1,5,8,6,2,4]=>[4,2,6,8,5,1,7,3]=>[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,7,8,2,5,6,4]=>[4,6,5,2,8,7,3,1]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,7,8,5,2,6,4]=>[4,6,2,5,8,7,1,3]=>[4,6,2,5,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,3,7,5,8,2,6,4]=>[4,6,2,8,5,7,3,1]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,7,5,8,2,6,4]=>[4,6,2,8,5,7,1,3]=>[4,6,2,5,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,5,7,1,8,4,6,2]=>[2,6,4,8,1,7,5,3]=>[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,7,8,1,4,6,2]=>[2,6,4,1,8,7,5,3]=>[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,7,8,4,6,1,2]=>[2,1,6,4,8,7,3,5]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,7,8,4,1,6,2]=>[2,6,1,4,8,7,3,5]=>[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,3,7,8,1,4,6,2]=>[2,6,4,1,8,7,3,5]=>[2,6,4,1,7,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,3,7,1,8,4,6,2]=>[2,6,4,8,1,7,3,5]=>[2,6,4,1,7,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,5,3,7,8,4,2,6]=>[6,2,4,8,7,3,5,1]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,7,8,4,2,6]=>[6,2,4,8,7,3,1,5]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[7,8,3,2,6,1,4,5]=>[5,4,1,6,2,3,8,7]=>[5,4,1,6,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,8,2,6,1,7,5]=>[5,7,1,6,2,8,4,3]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,8,4,1,5,6,3,2]=>[2,3,6,5,1,4,8,7]=>[2,3,6,5,1,4,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,8,1,4,5,6,3,2]=>[2,3,6,5,4,1,8,7]=>[2,3,6,5,4,1,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,8,1,2,6,3,4,5]=>[5,4,3,6,2,1,8,7]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,8,5,1,4,6,3,2]=>[2,3,6,4,1,5,8,7]=>[2,3,6,4,1,5,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,8,4,5,1,6,3,2]=>[2,3,6,1,5,4,8,7]=>[2,3,6,1,5,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,8,4,1,6,7,2]=>[2,7,6,1,4,8,3,5]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,4,8,1,5,3,7]=>[7,3,5,1,8,4,2,6]=>[7,3,5,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,8,5,1,6,7,2]=>[2,7,6,1,5,8,4,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,5,8,1,4,6,7,2]=>[2,7,6,4,1,8,5,3]=>[2,7,6,4,1,5,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,4,8,2,6,3,7,5]=>[5,7,3,6,2,8,4,1]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,3,8,1,4,6,7,2]=>[2,7,6,4,1,8,3,5]=>[2,7,6,4,1,3,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[4,2,6,8,1,5,3,7]=>[7,3,5,1,8,6,2,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,4,2,8,1,5,3,6]=>[6,3,5,1,8,2,4,7]=>[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,1,7,5,8,4,3,2]=>[2,3,4,8,5,7,1,6]=>[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,2,1,8,4,5,3,7]=>[7,3,5,4,8,1,2,6]=>[7,3,5,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,2,7,8,5,3,4,6]=>[6,4,3,5,8,7,2,1]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[6,3,7,8,5,4,1,2]=>[2,1,4,5,8,7,3,6]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,1,5,7,8,4,3,2]=>[2,3,4,8,7,5,1,6]=>[2,3,4,7,5,1,6]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[1,7,5,6,8,4,3,2]=>[2,3,4,8,6,5,7,1]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[3,1,8,4,5,6,7,2]=>[2,7,6,5,4,8,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,1,4,8,6,5,3,7]=>[7,3,5,6,8,4,1,2]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,4,1,8,6,5,3,7]=>[7,3,5,6,8,1,4,2]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,2,1,8,6,5,3,7]=>[7,3,5,6,8,1,2,4]=>[7,3,5,6,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,2,7,8,5,1,4,6]=>[6,4,1,5,8,7,2,3]=>[6,4,1,5,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,7,8,5,1,4,6]=>[6,4,1,5,8,7,3,2]=>[6,4,1,5,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,7,3,8,5,1,4,6]=>[6,4,1,5,8,3,7,2]=>[6,4,1,5,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,6,2,8,5,1,4,7]=>[7,4,1,5,8,2,6,3]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,2,8,7,5,3,6]=>[6,3,5,7,8,2,1,4]=>[6,3,5,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,2,8,7,5,3,6]=>[6,3,5,7,8,2,4,1]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,3,6,8,5,4,1,2]=>[2,1,4,5,8,6,3,7]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,2,1,8,5,3,4,6]=>[6,4,3,5,8,1,2,7]=>[6,4,3,5,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,6,8,4,5,3,7]=>[7,3,5,4,8,6,2,1]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,1,6,5,8,4,3,2]=>[2,3,4,8,5,6,1,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,7,1,8,4,3,2]=>[2,3,4,8,1,7,5,6]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,7,6,1,8,4,3,2]=>[2,3,4,8,1,6,7,5]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,7,1,5,8,4,3,2]=>[2,3,4,8,5,1,7,6]=>[2,3,4,5,1,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,7,3,8,5,4,1,2]=>[2,1,4,5,8,3,7,6]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,1,2,8,4,5,3,6]=>[6,3,5,4,8,2,1,7]=>[6,3,5,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,6,1,5,8,4,3,2]=>[2,3,4,8,5,1,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,5,6,1,8,4,3,2]=>[2,3,4,8,1,6,5,7]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,3,5,8,7,1,2,4]=>[4,2,1,7,8,5,3,6]=>[4,2,1,7,5,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,7,2,1,6,3,8,5]=>[5,8,3,6,1,2,7,4]=>[5,3,6,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,4,2,5,3,7,8]=>[8,7,3,5,2,4,1,6]=>[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,7,5,4,2,8,6]=>[6,8,2,4,5,7,3,1]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,1,3,5,4,2,7,8]=>[8,7,2,4,5,3,1,6]=>[7,2,4,5,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,1,2,5,4,7,3,8]=>[8,3,7,4,5,2,1,6]=>[3,7,4,5,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,1,6,3,4,7,8,2]=>[2,8,7,4,3,6,1,5]=>[2,7,4,3,6,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,2,6,3,4,7,1,8]=>[8,1,7,4,3,6,2,5]=>[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,4,7,5,8,6,1,2]=>[2,1,6,8,5,7,4,3]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,4,7,1,5,3,8,6]=>[6,8,3,5,1,7,4,2]=>[6,3,5,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,6,7,4,8,1,5]=>[5,1,8,4,7,6,3,2]=>[5,1,4,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,3,6,7,4,8,5,2]=>[2,5,8,4,7,6,3,1]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,6,5,3,1,8,4]=>[4,8,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[5,2,6,1,4,7,8,3]=>[3,8,7,4,1,6,2,5]=>[3,7,4,1,6,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,7,6,5,2,1,8,3]=>[3,8,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,3,6,2,4,1,7,8]=>[8,7,1,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,4,2,1,3,6,8]=>[8,6,3,1,2,4,7,5]=>[6,3,1,2,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,3,1,5,4,7,8,2]=>[2,8,7,4,5,1,3,6]=>[2,7,4,5,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,3,6,1,4,2,7,8]=>[8,7,2,4,1,6,3,5]=>[7,2,4,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,4,2,6,3,8,5]=>[5,8,3,6,2,4,7,1]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,4,1,2,3,6,8]=>[8,6,3,2,1,4,7,5]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,4,1,2,5,3,7,8]=>[8,7,3,5,2,1,4,6]=>[7,3,5,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,7,6,3,8,5,1,2]=>[2,1,5,8,3,6,7,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,6,5,2,8,1,4]=>[4,1,8,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,7,2,6,1,3,8,5]=>[5,8,3,1,6,2,7,4]=>[5,3,1,6,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,7,1,6,8,3,5,4]=>[4,5,3,8,6,1,7,2]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,7,6,5,8,1,4,3]=>[3,4,1,8,5,6,7,2]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[9,1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1,9]=>[6,8,7,5,4,3,2,1]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]
[2,3,4,5,6,9,7,8,1]=>[1,8,7,9,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,8,4,3,7,5,6,2]=>[2,6,5,7,3,4,8,1]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,2,8,6,4,7,3,1]=>[1,3,7,4,6,8,2,5]=>[1,3,7,4,6,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,8,4,1,2,5,3,6]=>[6,3,5,2,1,4,8,7]=>[6,3,5,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,8,1,2,6,5,3,4]=>[4,3,5,6,2,1,8,7]=>[4,3,5,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,8,2,7,5,3,6]=>[6,3,5,7,2,8,4,1]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,3,4,7,2,5,8]=>[8,5,2,7,4,3,1,6]=>[5,2,7,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,8,2,1,6,3,5,4]=>[4,5,3,6,1,2,8,7]=>[4,5,3,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,1,2,7,5,4,3,8]=>[8,3,4,5,7,2,1,6]=>[3,4,5,7,2,1,6]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[1,2,8,7,5,4,3,6]=>[6,3,4,5,7,8,2,1]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[5,1,7,3,6,4,8,2]=>[2,8,4,6,3,7,1,5]=>[2,4,6,3,7,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,2,1,5,7,4,3,8]=>[8,3,4,7,5,1,2,6]=>[3,4,7,5,1,2,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,2,3,7,4,1,5,8]=>[8,5,1,4,7,3,2,6]=>[5,1,4,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,4,8,7,5,6,1,2]=>[2,1,6,5,7,8,4,3]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,3,8,7,4,1,5,6]=>[6,5,1,4,7,8,3,2]=>[6,5,1,4,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,7,3,8,6,4,1,5]=>[5,1,4,6,8,3,7,2]=>[5,1,4,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,8,3,7,6,4,5,2]=>[2,5,4,6,7,3,8,1]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[5,2,7,1,4,6,8,3]=>[3,8,6,4,1,7,2,5]=>[3,6,4,1,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,6,7,5,2,1,8,3]=>[3,8,1,2,5,7,6,4]=>[3,1,2,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[6,3,1,4,5,7,8,2]=>[2,8,7,5,4,1,3,6]=>[2,7,5,4,1,3,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,3,1,4,6,2,7,8]=>[8,7,2,6,4,1,3,5]=>[7,2,6,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,1,2,4,7,6,8,3]=>[3,8,6,7,4,2,1,5]=>[3,6,7,4,2,1,5]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[5,7,4,1,2,6,3,8]=>[8,3,6,2,1,4,7,5]=>[3,6,2,1,4,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,8,1,2,6,7,3,5]=>[5,3,7,6,2,1,8,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,1,7,8,2,6,3,5]=>[5,3,6,2,8,7,1,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[3,1,2,4,6,8,7,5]=>[5,7,8,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,1,8,4,5,7,6,2]=>[2,6,7,5,4,8,1,3]=>[2,6,7,5,4,1,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[3,2,8,5,4,7,1,6]=>[6,1,7,4,5,8,2,3]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,2,8,1,5,3,7,6]=>[6,7,3,5,1,8,2,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,8,5,7,6,1,2]=>[2,1,6,7,5,8,3,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,8,2,1,6,3,7,5]=>[5,7,3,6,1,2,8,4]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,8,6,5,2,7,1,4]=>[4,1,7,2,5,6,8,3]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,8,5,6,1,7,4,2]=>[2,4,7,1,6,5,8,3]=>[2,4,7,1,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,5,7,8,1,2,6,4]=>[4,6,2,1,8,7,5,3]=>[4,6,2,1,7,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,7,8,5,2,1,6,4]=>[4,6,1,2,5,8,7,3]=>[4,6,1,2,5,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,7,2,8,4,1,6,5]=>[5,6,1,4,8,2,7,3]=>[5,6,1,4,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,8,1,7,4,6,5,3]=>[3,5,6,4,7,1,8,2]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,8,7,5,1,6,4,3]=>[3,4,6,1,5,7,8,2]=>[3,4,6,1,5,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,8,6,7,5,1,4,3]=>[3,4,1,5,7,6,8,2]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[8,5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5,8]=>[3,4,6,2,7,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[8,7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7,8]=>[3,6,2,5,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,6,3,1,5,2,8,4]=>[4,8,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,5,1,8,2,6,3,4]=>[4,3,6,2,8,1,5,7]=>[4,3,6,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[8,7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7,8]=>[6,2,4,5,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,6,2,3,4,8,5,1]=>[1,5,8,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,8,7,6,5,2,4,1]=>[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,9,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,9,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,4,7,8,5]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]=>[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[3,8,7,6,5,2,1,4]=>[4,1,2,5,6,7,8,3]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,5,4,7,2,6,1,8]=>[8,1,6,2,7,4,5,3]=>[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,1,2,5,7,4,8,3]=>[3,8,4,7,5,2,1,6]=>[3,4,7,5,2,1,6]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[6,3,2,7,4,1,8,5]=>[5,8,1,4,7,2,3,6]=>[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,1,7,5,8,4,6,3]=>[3,6,4,8,5,7,1,2]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,7,3,6,8,4,1,5]=>[5,1,4,8,6,3,7,2]=>[5,1,4,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,1,8,3,4,7,5,6]=>[6,5,7,4,3,8,1,2]=>[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,1,7,2,4,8,3,6]=>[6,3,8,4,2,7,1,5]=>[6,3,4,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,2,6,7,1,8,5]=>[5,8,1,7,6,2,4,3]=>[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,8,7,2,1,6,4]=>[4,6,1,2,7,8,5,3]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[1,7,2,3,6,8,5,4]=>[4,5,8,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,5,6,4,8,2,7,1]=>[1,7,2,8,4,6,5,3]=>[1,7,2,4,6,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[3,5,1,4,8,2,7,6]=>[6,7,2,8,4,1,5,3]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,7,5,4,8,2,6,3]=>[3,6,2,8,4,5,7,1]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,5,1,6,4,8,2]=>[2,8,4,6,1,5,7,3]=>[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,7,5,4,8,1,3,6]=>[6,3,1,8,4,5,7,2]=>[6,3,1,4,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,7,5,4,8,6,1,3]=>[3,1,6,8,4,5,7,2]=>[3,1,6,4,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,5,4,8,6,3,2]=>[2,3,6,8,4,5,7,1]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,5,1,4,8,7,3,6]=>[6,3,7,8,4,1,5,2]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,4,2,8,7,1,5]=>[5,1,7,8,2,4,6,3]=>[5,1,7,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,5,2,4,8,1,6,7]=>[7,6,1,8,4,2,5,3]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,6,4,8,1,2,7]=>[7,2,1,8,4,6,5,3]=>[7,2,1,4,6,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,5,6,4,8,7,2,3]=>[3,2,7,8,4,6,5,1]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,4,1,8,7,2,5]=>[5,2,7,8,1,4,6,3]=>[5,2,7,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,4,5,8,7,2,1]=>[1,2,7,8,5,4,6,3]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[1,6,4,3,8,5,2,7]=>[7,2,5,8,3,4,6,1]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,4,5,8,2,6]=>[6,2,8,5,4,3,1,7]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,6,1,4,5,3,8,2]=>[2,8,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,1,3,5,4,8,2]=>[2,8,4,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,1,3,2,5,8,4,6]=>[6,4,8,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,4,2,8,5,3,7]=>[7,3,5,8,2,4,6,1]=>[7,3,5,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,6,5,8,2,4,3,1]=>[1,3,4,2,8,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,8,3,1,4,2]=>[2,4,1,3,8,5,6,7]=>[2,4,1,3,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,6,4,3,8,5,7,1]=>[1,7,5,8,3,4,6,2]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,2,3,1,5,8,6,4]=>[4,6,8,5,1,3,2,7]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,1,5,6,3,8,4,2]=>[2,4,8,3,6,5,1,7]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,3,6,5,1,4,8,2]=>[2,8,4,1,5,6,3,7]=>[2,4,1,5,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,6,5,3,8,1,4]=>[4,1,8,3,5,6,2,7]=>[4,1,3,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,2,3,1,4,8,6,5]=>[5,6,8,4,1,3,2,7]=>[5,6,4,1,3,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,3,5,4,8,6,1]=>[1,6,8,4,5,3,2,7]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,6,4,5,8,1,7,3]=>[3,7,1,8,5,4,6,2]=>[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,5,6,4,8,3,7,2]=>[2,7,3,8,4,6,5,1]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,5,6,4,8,3,1,7]=>[7,1,3,8,4,6,5,2]=>[7,1,3,4,6,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[3,5,6,1,4,7,8,2]=>[2,8,7,4,1,6,5,3]=>[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,6,1,3,4,5,8,2]=>[2,8,5,4,3,1,6,7]=>[2,5,4,3,1,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,1,3,2,4,8,5,6]=>[6,5,8,4,2,3,1,7]=>[6,5,4,2,3,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,6,1,5,3,4,8,2]=>[2,8,4,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,6,1,5,4,3,8,2]=>[2,8,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,6,4,5,8,3,2,7]=>[7,2,3,8,5,4,6,1]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,6,5,8,1,3,2,4]=>[4,2,3,1,8,5,6,7]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,6,8,7,2,1,5]=>[5,1,2,7,8,6,4,3]=>[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,5,6,8,2,1,7,4]=>[4,7,1,2,8,6,5,3]=>[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,2,1,5,3,7,8,6]=>[6,8,7,3,5,1,2,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,5,6,3,1,8,7]=>[7,8,1,3,6,5,2,4]=>[7,1,3,6,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,5,6,8,1,7,2,4]=>[4,2,7,1,8,6,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,5,6,3,2,8,7]=>[7,8,2,3,6,5,1,4]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,3,1,7,2,8,6]=>[6,8,2,7,1,3,5,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,1,3,5,2,7,8,6]=>[6,8,7,2,5,3,1,4]=>[6,7,2,5,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,5,4,7,3,8,6,1]=>[1,6,8,3,7,4,5,2]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[3,5,7,1,8,4,2,6]=>[6,2,4,8,1,7,5,3]=>[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,1,5,3,2,7,8,6]=>[6,8,7,2,3,5,1,4]=>[6,7,2,3,5,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,5,3,7,1,2,8,6]=>[6,8,2,1,7,3,5,4]=>[6,2,1,7,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,3,6,1,2,7,5,8]=>[8,5,7,2,1,6,3,4]=>[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]=>[7,6,4,2,3,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,6,1,7,4,5,2,8]=>[8,2,5,4,7,1,6,3]=>[2,5,4,7,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,4,2,6,7,8]=>[8,7,6,2,4,3,1,5]=>[7,6,2,4,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]=>[7,6,2,4,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,2,3,7,1,8,6]=>[6,8,1,7,3,2,5,4]=>[6,1,7,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,2,6,1,3,7,5,8]=>[8,5,7,3,1,6,2,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,6,2,1,3,7,5,8]=>[8,5,7,3,1,2,6,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,6,2,1,7,4,8,5]=>[5,8,4,7,1,2,6,3]=>[5,4,7,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,4,7,6,5,2,8]=>[8,2,5,6,7,4,1,3]=>[2,5,6,7,4,1,3]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[3,6,2,7,1,5,8,4]=>[4,8,5,1,7,2,6,3]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,7,1,3,5,8]=>[8,5,3,1,7,2,6,4]=>[5,3,1,7,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,7,1,8,2,6,4]=>[4,6,2,8,1,7,5,3]=>[4,6,2,1,7,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,6,1,7,2,5,8,4]=>[4,8,5,2,7,1,6,3]=>[4,5,2,7,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,5,3,4,7,8,1]=>[1,8,7,4,3,5,6,2]=>[1,7,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[3,6,1,7,5,4,2,8]=>[8,2,4,5,7,1,6,3]=>[2,4,5,7,1,6,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]=>[7,6,2,3,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]=>[7,6,2,3,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,4,5,1,3,8,2]=>[2,8,3,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,6,7,5,3,4,8,2]=>[2,8,4,3,5,7,6,1]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,6,2,3,8,4,1,5]=>[5,1,4,8,3,2,6,7]=>[5,1,4,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,6,7,5,8,2,3,4]=>[4,3,2,8,5,7,6,1]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[6,2,5,8,3,4,7,1]=>[1,7,4,3,8,5,2,6]=>[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,2,3,8,7,4,1,5]=>[5,1,4,7,8,3,2,6]=>[5,1,4,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,4,7,3,5,8,6,1]=>[1,6,8,5,3,7,4,2]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[2,5,3,7,1,8,4,6]=>[6,4,8,1,7,3,5,2]=>[6,4,1,7,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,2,8,3,1,4,6,7]=>[7,6,4,1,3,8,2,5]=>[7,6,4,1,3,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,8,1,3,6,4,7,2]=>[2,7,4,6,3,1,8,5]=>[2,7,4,6,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,8,1,4,3,6,2,7]=>[7,2,6,3,4,1,8,5]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,8,4,1,3,7,6,2]=>[2,6,7,3,1,4,8,5]=>[2,6,7,3,1,4,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,4,5,3,8,1,7,2]=>[2,7,1,8,3,5,4,6]=>[2,7,1,3,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,5,1,3,6,2,8,7]=>[7,8,2,6,3,1,5,4]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,6,5,1,7,3,8]=>[8,3,7,1,5,6,2,4]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,5,7,2,1,6,8]=>[8,6,1,2,7,5,3,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,4,7,6,8,1,2,5]=>[5,2,1,8,6,7,4,3]=>[5,2,1,6,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,6,2,5,8,7,1]=>[1,7,8,5,2,6,4,3]=>[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,5,2,4,6,1,8,7]=>[7,8,1,6,4,2,5,3]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,2,5,1,6,8,3,7]=>[7,3,8,6,1,5,2,4]=>[7,3,6,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,8,2,3,6,5,7,4]=>[4,7,5,6,3,2,8,1]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,2,8,3,5,7,1,6]=>[6,1,7,5,3,8,2,4]=>[6,1,7,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,3,8,6,5,7,1,2]=>[2,1,7,5,6,8,3,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,3,7,2,6,5,8,4]=>[4,8,5,6,2,7,3,1]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,3,6,4,2,5,8,7]=>[7,8,5,2,4,6,3,1]=>[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,5,4,7,3,6,8,2]=>[2,8,6,3,7,4,5,1]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,3,8,4,1,7,6]=>[6,7,1,4,8,3,2,5]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,5,3,4,8,2,1,6]=>[6,1,2,8,4,3,5,7]=>[6,1,2,4,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,2,8,3,4,1,5,6]=>[6,5,1,4,3,8,2,7]=>[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,4,3,8,5,2,6,1]=>[1,6,2,5,8,3,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,2,7,3,1,5,8]=>[8,5,1,3,7,2,6,4]=>[5,1,3,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,6,3,8,2,4,5,1]=>[1,5,4,2,8,3,6,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,8,5,1,3,4,6]=>[6,4,3,1,5,8,2,7]=>[6,4,3,1,5,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,3,7,6,8,4,2]=>[2,4,8,6,7,3,5,1]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,7,8,2,4,5]=>[5,4,2,8,7,3,6,1]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,3,7,8,5,2,6]=>[6,2,5,8,7,3,4,1]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,2,6,5,7,8,3,1]=>[1,3,8,7,5,6,2,4]=>[1,3,7,5,6,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,6,7,5,8,1,3]=>[3,1,8,5,7,6,2,4]=>[3,1,5,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,2,4,7,8,5,1,6]=>[6,1,5,8,7,4,2,3]=>[6,1,5,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,2,6,7,8,1,4,5]=>[5,4,1,8,7,6,2,3]=>[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,6,5,8,2,7,3]=>[3,7,2,8,5,6,1,4]=>[3,7,2,5,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,6,5,8,4,7,2]=>[2,7,4,8,5,6,1,3]=>[2,7,4,5,6,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,2,6,5,8,4,7,1]=>[1,7,4,8,5,6,2,3]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,3,7,1,6,5,8,2]=>[2,8,5,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,6,4,8,3,7,1]=>[1,7,3,8,4,6,2,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,8,3,7,2]=>[2,7,3,8,4,6,1,5]=>[2,7,3,4,6,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,6,4,8,2,7,3]=>[3,7,2,8,4,6,1,5]=>[3,7,2,4,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,6,4,8,1,7,3]=>[3,7,1,8,4,6,2,5]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,5,8,1,6,2]=>[2,6,1,8,5,7,3,4]=>[2,6,1,5,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,5,8,2,6,1]=>[1,6,2,8,5,7,3,4]=>[1,6,2,5,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,7,4,8,2,6,1]=>[1,6,2,8,4,7,3,5]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,7,4,8,1,6,2]=>[2,6,1,8,4,7,3,5]=>[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,8,1,6,2,7,3]=>[3,7,2,6,1,8,4,5]=>[3,7,2,6,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,7,2,6,1,8,5]=>[5,8,1,6,2,7,3,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,3,7,1,5,2,8,6]=>[6,8,2,5,1,7,3,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,3,7,1,6,2,8,5]=>[5,8,2,6,1,7,3,4]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,4,8,2,6,3,7,1]=>[1,7,3,6,2,8,4,5]=>[1,7,3,6,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,8,1,6,3,7,2]=>[2,7,3,6,1,8,4,5]=>[2,7,3,6,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.