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
[1,2]=>[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[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]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[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]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[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]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
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.
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Sorry, this map was not found in the database.