Identifier
Mp00254:
Permutations
—Inverse fireworks map⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[2,1]=>[[.,.],.]
[2,1]=>[2,1]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[1,2,3]=>[3,2,1]=>[[[.,.],.],.]
[1,3,2]=>[1,3,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,1,3]=>[2,1,3]=>[2,3,1]=>[[.,[.,.]],.]
[2,3,1]=>[1,3,2]=>[3,1,2]=>[[.,.],[.,.]]
[3,1,2]=>[3,1,2]=>[1,3,2]=>[.,[[.,.],.]]
[3,2,1]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[1,2,4,3]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[1,4,2,3]=>[1,4,2,3]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[1,4,3,2]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[2,1,3,4]=>[2,1,3,4]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[2,3,4,1]=>[1,2,4,3]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,4,1,3]=>[2,4,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,4,3,1]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[3,1,2,4]=>[3,1,2,4]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,1,4,2]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,2,4,1]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,4,1,2]=>[2,4,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[3,4,2,1]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[4,1,2,3]=>[4,1,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[4,1,3,2]=>[4,1,3,2]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[4,2,1,3]=>[4,2,1,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[4,2,3,1]=>[4,1,3,2]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[4,3,1,2]=>[4,3,1,2]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,2,4,5,3]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[1,2,5,3,4]=>[1,2,5,3,4]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[1,2,5,4,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[1,3,4,2,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,4,5,2]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[1,3,5,2,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[1,3,5,4,2]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,4,2,3,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,4,2,5,3]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[1,4,3,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,5,2]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[1,4,5,2,3]=>[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[1,4,5,3,2]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,5,2,3,4]=>[1,5,2,3,4]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[1,5,2,4,3]=>[1,5,2,4,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[1,5,3,2,4]=>[1,5,3,2,4]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[1,5,3,4,2]=>[1,5,2,4,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[1,5,4,2,3]=>[1,5,4,2,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[2,1,3,5,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,4,3,5]=>[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[2,1,4,5,3]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,5,3,4]=>[2,1,5,3,4]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[2,3,1,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,3,4,1,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[2,3,4,5,1]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,3,5,1,4]=>[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,3,5,4,1]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[2,4,1,3,5]=>[2,4,1,3,5]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[2,4,1,5,3]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,4,3,1,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[2,4,3,5,1]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,4,5,1,3]=>[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,5,3,1]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[2,5,1,3,4]=>[2,5,1,3,4]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,5,1,4,3]=>[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[2,5,3,1,4]=>[1,5,3,2,4]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,3,4,1]=>[1,5,2,4,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[2,5,4,1,3]=>[2,5,4,1,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[2,5,4,3,1]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[3,1,2,4,5]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[3,1,2,5,4]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[3,1,4,2,5]=>[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[3,1,4,5,2]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[3,1,5,2,4]=>[3,1,5,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,2]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,2,4,1,5]=>[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[3,2,4,5,1]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[3,2,5,1,4]=>[3,2,5,1,4]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[3,2,5,4,1]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,4,1,2,5]=>[2,4,1,3,5]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[3,4,1,5,2]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[3,4,2,1,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[3,4,2,5,1]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[3,4,5,1,2]=>[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[3,4,5,2,1]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,5,1,2,4]=>[3,5,1,2,4]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[3,5,1,4,2]=>[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,5,2,1,4]=>[3,5,2,1,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[3,5,2,4,1]=>[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,5,4,1,2]=>[2,5,4,1,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,5,4,2,1]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[4,1,2,3,5]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[4,1,2,5,3]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,3,2,5]=>[4,1,3,2,5]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,1,3,5,2]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,3]=>[3,1,5,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[4,1,5,3,2]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,3,5]=>[4,2,1,3,5]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[4,2,1,5,3]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[4,2,3,1,5]=>[4,1,3,2,5]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,2,3,5,1]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[4,2,5,1,3]=>[3,2,5,1,4]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[4,2,5,3,1]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,3,1,2,5]=>[4,3,1,2,5]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,3,1,5,2]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,3,2,5,1]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[4,3,5,1,2]=>[3,2,5,1,4]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[4,3,5,2,1]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[4,5,1,2,3]=>[3,5,1,2,4]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[4,5,1,3,2]=>[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[4,5,2,1,3]=>[3,5,2,1,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[4,5,2,3,1]=>[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[4,5,3,1,2]=>[2,5,4,1,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,2,1]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[5,1,2,3,4]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[5,1,2,4,3]=>[5,1,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[5,1,3,2,4]=>[5,1,3,2,4]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[5,1,3,4,2]=>[5,1,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[5,1,4,2,3]=>[5,1,4,2,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[5,1,4,3,2]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[5,2,1,3,4]=>[5,2,1,3,4]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[5,2,1,4,3]=>[5,2,1,4,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[5,2,3,1,4]=>[5,1,3,2,4]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[5,2,3,4,1]=>[5,1,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[5,2,4,1,3]=>[5,2,4,1,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[5,2,4,3,1]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[5,3,1,2,4]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[5,3,1,4,2]=>[5,2,1,4,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[5,3,2,1,4]=>[5,3,2,1,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[5,3,2,4,1]=>[5,2,1,4,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[5,3,4,1,2]=>[5,2,4,1,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[5,3,4,2,1]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[5,4,1,2,3]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[5,4,1,3,2]=>[5,4,1,3,2]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[5,4,2,1,3]=>[5,4,2,1,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[5,4,2,3,1]=>[5,4,1,3,2]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[5,4,3,1,2]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,5,6,4]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,4,5,3,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,4,5,6,3]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,4,6,5,3]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,5,3,6,4]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,4,6,3]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,5,6,3,4]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,5,6,4,3]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,4,3,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,2,6,4,5,3]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,5,3,4]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,6,4]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,4,2,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,3,4,2,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,3,4,5,2,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,3,4,5,6,2]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[1,3,4,6,2,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,3,4,6,5,2]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,2,6,4]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,3,5,4,2,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,3,5,4,6,2]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,3,5,6,2,4]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,3,5,6,4,2]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,4,2,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,3,6,4,5,2]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,5,2,4]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,6,5,4,2]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[1,4,2,5,3,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,5,6,3]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,2,6,5,3]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,3,5,2,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,3,5,6,2]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,4,3,6,2,5]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,3,6,5,2]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,4,5,2,3,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,5,2,6,3]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,5,3,2,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,4,5,3,6,2]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,4,5,6,3,2]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,4,6,2,5,3]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,6,3,2,5]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,4,6,3,5,2]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,6,5,2,3]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,5,3,2]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,5,2,3,6,4]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,2,4,6,3]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[1,5,2,6,3,4]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,2,6,4,3]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,3,2,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,5,3,2,6,4]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,3,4,2,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,4,6,2]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[1,5,3,6,2,4]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,3,6,4,2]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,4,2,3,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,5,4,2,6,3]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,6,2]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,4,6,2,3]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,4,6,3,2]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,6,2,3,4]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,5,6,2,4,3]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,5,6,3,2,4]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,5,6,3,4,2]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[1,5,6,4,2,3]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[1,5,6,4,3,2]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,6,2,4,5,3]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[1,6,2,5,4,3]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,3,2,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[1,6,3,2,5,4]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,3,4,2,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,6,3,4,5,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,3,5,2,4]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[1,6,3,5,4,2]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,4,2,3,5]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[1,6,4,2,5,3]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,4,3,2,5]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[1,6,4,3,5,2]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,4,5,2,3]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[1,6,4,5,3,2]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,5,2,3,4]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[1,6,5,2,4,3]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,6,5,3,2,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[1,6,5,3,4,2]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[2,1,3,5,6,4]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,5,3,6]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[2,1,4,5,6,3]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,4,6,5,3]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,1,5,3,6,4]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,4,6,3]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,5,6,3,4]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,5,6,4,3]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,1,6,3,5,4]=>[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,4,3,5]=>[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,1,6,4,5,3]=>[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[2,3,1,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,3,1,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[2,3,1,5,6,4]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,3,1,6,4,5]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,6,5,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,3,4,1,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,3,4,1,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,3,4,5,1,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[2,3,4,5,6,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,3,4,6,1,5]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,4,6,5,1]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[2,3,5,1,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[2,3,5,1,6,4]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,3,5,4,1,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[2,3,5,4,6,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,3,5,6,1,4]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,5,6,4,1]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[2,3,6,1,4,5]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,6,1,5,4]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,6,4,1,5]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,3,6,4,5,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,6,5,1,4]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[2,3,6,5,4,1]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,4,1,3,5,6]=>[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,4,1,5,3,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[2,4,1,5,6,3]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,6,5,3]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,4,3,1,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[2,4,3,1,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,4,3,5,1,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[2,4,3,5,6,1]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,4,3,6,1,5]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,3,6,5,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,4,5,1,3,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[2,4,5,1,6,3]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,4,5,3,1,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[2,4,5,3,6,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,5,6,3,1]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,1,5,3]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,4,6,3,1,5]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,6,3,5,1]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,4,6,5,1,3]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[2,4,6,5,3,1]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,5,1,3,4,6]=>[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,5,1,3,6,4]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,5,1,4,3,6]=>[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,1,4,6,3]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,5,1,6,3,4]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,6,4,3]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,3,1,4,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[2,5,3,1,6,4]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,5,3,4,1,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,3,4,6,1]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,5,3,6,1,4]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,3,6,4,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,4,1,3,6]=>[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,4,1,6,3]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,5,4,3,1,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,5,4,3,6,1]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,5,4,6,1,3]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,4,6,3,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,6,1,3,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,5,6,1,4,3]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,6,3,1,4]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,6,3,4,1]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,6,4,1,3]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[2,5,6,4,3,1]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,6,1,3,4,5]=>[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,5,4]=>[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,4,3,5]=>[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,1,4,5,3]=>[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,3,1,4,5]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,6,3,1,5,4]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,3,4,1,5]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,4,5,1]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,3,5,1,4]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[2,6,3,5,4,1]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,4,1,3,5]=>[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,6,4,1,5,3]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,4,3,1,5]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,4,3,5,1]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,4,5,1,3]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[2,6,4,5,3,1]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,5,1,3,4]=>[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,5,3,1,4]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[2,6,5,3,4,1]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,5,4,3,1]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,1,2,5,6,4]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,2,6,5,4]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,1,4,2,5,6]=>[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[3,1,4,2,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,4,5,2,6]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[3,1,4,5,6,2]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,4,6,2,5]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,1,4,6,5,2]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,1,5,2,4,6]=>[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,5,2,6,4]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,5,4,2,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,1,5,4,6,2]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,5,6,2,4]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,1,5,6,4,2]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,1,6,2,4,5]=>[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,6,2,5,4]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,6,4,2,5]=>[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,1,6,4,5,2]=>[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,5,4,2]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,1,5,6,4]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,6,4,5]=>[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,4,1,5,6]=>[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[3,2,4,1,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,2,4,5,1,6]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[3,2,4,5,6,1]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[3,2,4,6,1,5]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,2,4,6,5,1]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,5,1,4,6]=>[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,2,5,1,6,4]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,2,5,4,1,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,2,5,4,6,1]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,2,5,6,1,4]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,2,5,6,4,1]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,6,1,4,5]=>[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,4,1,5]=>[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,2,6,4,5,1]=>[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,5,4,1]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,4,1,2,5,6]=>[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[3,4,1,2,6,5]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,5,2,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,4,1,5,6,2]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[3,4,1,6,2,5]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,6,5,2]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,4,2,1,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[3,4,2,1,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,4,2,5,1,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,4,2,5,6,1]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[3,4,2,6,1,5]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,2,6,5,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[3,4,5,1,6,2]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[3,4,5,2,1,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[3,4,5,2,6,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[3,4,5,6,1,2]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,5,6,2,1]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,4,6,1,2,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,1,5,2]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,4,6,2,1,5]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[3,4,6,2,5,1]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,4,6,5,1,2]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,6,5,2,1]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,5,1,2,4,6]=>[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,1,2,6,4]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[3,5,1,4,2,6]=>[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,1,4,6,2]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[3,5,1,6,2,4]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,6,4,2]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,5,2,1,4,6]=>[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,5,2,1,6,4]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,5,2,4,1,6]=>[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,2,4,6,1]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[3,5,2,6,1,4]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,2,6,4,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,5,4,1,2,6]=>[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,5,4,1,6,2]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,5,4,2,1,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,5,4,2,6,1]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,5,4,6,1,2]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,4,6,2,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,5,6,1,2,4]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,5,6,2,1,4]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,5,6,4,1,2]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,6,4,2,1]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,6,1,2,4,5]=>[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,2,5,4]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,1,4,2,5]=>[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,1,4,5,2]=>[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,1,5,4,2]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,2,4,1,5]=>[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,2,4,5,1]=>[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,5,4,1]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,4,1,2,5]=>[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[3,6,4,1,5,2]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,4,2,1,5]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,6,4,2,5,1]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,4,5,1,2]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,4,5,2,1]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,5,1,2,4]=>[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,6,5,1,4,2]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,5,2,4,1]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,6,5,4,1,2]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,6,5,4,2,1]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,2,5,3,6]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[4,1,2,5,6,3]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,2,6,5,3]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,1,3,2,5,6]=>[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[4,1,3,2,6,5]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,3,5,2,6]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[4,1,3,5,6,2]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,3,6,2,5]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,5,2]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,1,5,2,3,6]=>[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,5,2,6,3]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,3,2,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,5,3,6,2]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,6,2,3]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,1,5,6,3,2]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,1,6,2,3,5]=>[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,1,6,2,5,3]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,1,6,3,5,2]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,1,6,5,2,3]=>[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,6,5,3,2]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,2,1,3,5,6]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[4,2,1,3,6,5]=>[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,2,1,5,3,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,2,1,5,6,3]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,2,1,6,3,5]=>[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,2,1,6,5,3]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,3,1,5,6]=>[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[4,2,3,1,6,5]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,2,3,5,1,6]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[4,2,3,5,6,1]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,2,3,6,1,5]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,2,3,6,5,1]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,5,1,3,6]=>[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,5,1,6,3]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,2,5,3,1,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,5,3,6,1]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,2,5,6,1,3]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,2,5,6,3,1]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,6,1,3,5]=>[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,2,6,1,5,3]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,3,1,5]=>[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,2,6,3,5,1]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,5,1,3]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,2,6,5,3,1]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,1,2,5,6]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,3,1,5,2,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,1,5,6,2]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,3,1,6,5,2]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,3,2,5,1,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,2,5,6,1]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,3,2,6,5,1]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,5,1,2,6]=>[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,5,1,6,2]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,3,5,2,1,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,5,2,6,1]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,3,5,6,1,2]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,5,6,2,1]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,3,6,1,5,2]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,3,6,2,5,1]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,6,5,1,2]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,3,6,5,2,1]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,5,1,2,3,6]=>[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,5,1,2,6,3]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,3,2,6]=>[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,5,1,3,6,2]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,6,2,3]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,6,3,2]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,5,2,1,3,6]=>[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,5,2,1,6,3]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,5,2,3,1,6]=>[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,5,2,3,6,1]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,2,6,1,3]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,2,6,3,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,5,3,1,2,6]=>[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,5,3,1,6,2]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,5,3,2,1,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,5,3,2,6,1]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,5,3,6,1,2]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,3,6,2,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,5,6,1,2,3]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,3,2]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[4,5,6,2,1,3]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[4,5,6,2,3,1]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[4,5,6,3,1,2]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,6,3,2,1]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,2,5,3]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[4,6,1,3,5,2]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,6,1,5,2,3]=>[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,1,5,3,2]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[4,6,2,1,5,3]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,2,3,1,5]=>[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[4,6,2,3,5,1]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,6,2,5,1,3]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,3,1]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,6,3,1,2,5]=>[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[4,6,3,1,5,2]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[4,6,3,2,5,1]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,3,5,1,2]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,2,1]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,6,5,1,2,3]=>[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[4,6,5,1,3,2]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,5,2,1,3]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,3,1]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,5,3,1,2]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,5,3,2,1]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[5,1,2,3,6,4]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[5,1,2,4,6,3]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,2,6,3,4]=>[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,2,6,4,3]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,1,3,2,4,6]=>[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[5,1,3,2,6,4]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,3,4,2,6]=>[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[5,1,3,4,6,2]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,4]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,3,6,4,2]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,1,4,2,3,6]=>[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,1,4,2,6,3]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,4,3,2,6]=>[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,1,4,3,6,2]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,4,6,2,3]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,4,6,3,2]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,1,6,2,3,4]=>[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,1,6,2,4,3]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,1,6,3,2,4]=>[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,1,6,3,4,2]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,1,6,4,2,3]=>[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,1,6,4,3,2]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,2,1,3,4,6]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[5,2,1,3,6,4]=>[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,2,1,4,3,6]=>[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[5,2,1,4,6,3]=>[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,2,1,6,3,4]=>[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,2,1,6,4,3]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,3,1,4,6]=>[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[5,2,3,1,6,4]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,2,3,4,1,6]=>[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[5,2,3,4,6,1]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,2,3,6,1,4]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,2,3,6,4,1]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,4,1,3,6]=>[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,2,4,1,6,3]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,2,4,3,1,6]=>[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,2,4,3,6,1]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,2,4,6,1,3]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,2,4,6,3,1]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,2,6,1,3,4]=>[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,2,6,1,4,3]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,3,1,4]=>[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,2,6,3,4,1]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,4,1,3]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,2,6,4,3,1]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,1,2,4,6]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[5,3,1,2,6,4]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,3,1,4,2,6]=>[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[5,3,1,4,6,2]=>[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,3,1,6,2,4]=>[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,3,1,6,4,2]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,2,1,4,6]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,3,2,1,6,4]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,3,2,4,1,6]=>[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[5,3,2,4,6,1]=>[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,3,2,6,1,4]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,3,2,6,4,1]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,4,1,2,6]=>[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,4,1,6,2]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,4,2,1,6]=>[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,4,2,6,1]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,4,6,1,2]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,3,4,6,2,1]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,3,6,1,2,4]=>[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,3,6,1,4,2]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,6,2,1,4]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,3,6,2,4,1]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,6,4,1,2]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,3,6,4,2,1]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,1,2,3,6]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[5,4,1,2,6,3]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,4,1,3,2,6]=>[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,1,3,6,2]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,4,1,6,2,3]=>[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,4,1,6,3,2]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,2,1,3,6]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,4,2,1,6,3]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,4,2,3,1,6]=>[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,2,3,6,1]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,4,2,6,1,3]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,4,2,6,3,1]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,3,1,2,6]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,3,1,6,2]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,4,3,2,6,1]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,4,3,6,1,2]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,4,3,6,2,1]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,6,1,2,3]=>[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,4,6,1,3,2]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,2,1,3]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,4,6,2,3,1]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,3,1,2]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,4,6,3,2,1]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,6,1,2,3,4]=>[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,2,4,3]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[5,6,1,3,2,4]=>[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,6,1,3,4,2]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[5,6,1,4,2,3]=>[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,1,4,3,2]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,6,2,1,3,4]=>[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[5,6,2,1,4,3]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,6,2,3,1,4]=>[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,6,2,3,4,1]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[5,6,2,4,1,3]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,3,1]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,6,3,1,2,4]=>[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[5,6,3,1,4,2]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,6,3,2,1,4]=>[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,6,3,2,4,1]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,6,3,4,1,2]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,2,1]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,6,4,1,2,3]=>[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[5,6,4,1,3,2]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,6,4,2,1,3]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[5,6,4,2,3,1]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,6,4,3,1,2]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,2,1]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[6,1,2,4,3,5]=>[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[6,1,2,4,5,3]=>[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,1,3,2,4,5]=>[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[6,1,3,2,5,4]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,1,3,4,2,5]=>[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[6,1,3,4,5,2]=>[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[6,1,3,5,2,4]=>[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[6,1,3,5,4,2]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[6,1,4,2,5,3]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[6,1,4,3,5,2]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,1,4,5,2,3]=>[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[6,1,4,5,3,2]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[6,1,5,3,4,2]=>[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,1,5,4,2,3]=>[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,2,1,3,4,5]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[6,2,1,3,5,4]=>[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,1,4,3,5]=>[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[6,2,1,4,5,3]=>[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,2,1,5,3,4]=>[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,2,3,1,4,5]=>[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[6,2,3,1,5,4]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,3,4,1,5]=>[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,5,1,4]=>[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[6,2,3,5,4,1]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,2,4,1,3,5]=>[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[6,2,4,1,5,3]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,3,1,5]=>[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[6,2,4,3,5,1]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,5,1,3]=>[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[6,2,4,5,3,1]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,2,5,1,3,4]=>[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,2,5,3,1,4]=>[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[6,2,5,3,4,1]=>[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[6,2,5,4,3,1]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[6,3,1,2,5,4]=>[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,3,1,4,2,5]=>[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[6,3,1,4,5,2]=>[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,3,1,5,4,2]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,2,4,1,5]=>[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[6,3,2,4,5,1]=>[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,3,2,5,4,1]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,4,1,2,5]=>[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[6,3,4,1,5,2]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,3,4,2,1,5]=>[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[6,3,4,2,5,1]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,3,4,5,1,2]=>[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[6,3,4,5,2,1]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[6,3,5,1,4,2]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[6,3,5,2,4,1]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,5,4,1,2]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[6,3,5,4,2,1]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[6,4,1,2,5,3]=>[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[6,4,1,3,5,2]=>[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,4,1,5,2,3]=>[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,4,1,5,3,2]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[6,4,2,1,5,3]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,2,3,1,5]=>[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[6,4,2,3,5,1]=>[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,4,2,5,1,3]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,4,2,5,3,1]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,3,1,2,5]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[6,4,3,1,5,2]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[6,4,3,2,5,1]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,3,5,1,2]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,4,3,5,2,1]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,5,1,2,3]=>[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[6,4,5,1,3,2]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,1,3]=>[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[6,4,5,2,3,1]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,3,1,2]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[6,4,5,3,2,1]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[6,5,1,3,4,2]=>[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,5,1,4,2,3]=>[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,5,2,3,1,4]=>[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[6,5,2,3,4,1]=>[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[6,5,2,4,3,1]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,3,1,2,4]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[6,5,3,1,4,2]=>[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[6,5,3,2,4,1]=>[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,5,3,4,1,2]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[6,5,3,4,2,1]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[6,5,4,2,3,1]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,4,6,7,5]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,5,6,4,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,5,6,7,4]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,5,7,6,4]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,3,6,4,7,5]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,5,7,4]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,6,7,4,5]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,6,7,5,4]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,5,4,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,3,7,5,6,4]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,6,4,5]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,3,6,7,5]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,5,3,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,4,5,3,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,5,6,3,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,4,5,6,7,3]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,4,5,7,3,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,4,5,7,6,3]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,4,6,3,7,5]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,6,5,3,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,4,6,5,7,3]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,6,7,3,5]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,4,6,7,5,3]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,5,3,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,4,7,5,6,3]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,6,3,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,7,6,5,3]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,5,3,6,4,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,5,3,6,7,4]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,3,7,6,4]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,4,6,3,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,5,4,6,7,3]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,5,4,7,3,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,4,7,6,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,5,6,3,4,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,5,6,3,7,4]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,5,6,4,3,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,5,6,4,7,3]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,5,6,7,4,3]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,5,7,3,6,4]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,5,7,4,3,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,5,7,4,6,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,5,7,6,3,4]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,6,4,3]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,2,6,3,4,7,5]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,3,5,7,4]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,6,3,7,4,5]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,3,7,5,4]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,6,4,3,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,2,6,4,3,7,5]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,6,4,5,3,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,4,5,7,3]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,6,4,7,3,5]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,4,7,5,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,6,5,3,4,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,2,6,5,3,7,4]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,4,7,3]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,6,5,7,3,4]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,5,7,4,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,6,7,3,4,5]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,6,7,3,5,4]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,6,7,4,3,5]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,6,7,4,5,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,6,7,5,3,4]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,6,7,5,4,3]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,2,7,3,5,6,4]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,2,7,3,6,5,4]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,4,3,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,7,4,3,6,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,5,3,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,2,7,4,5,6,3]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,4,6,3,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,2,7,4,6,5,3]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,5,3,4,6]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,2,7,5,3,6,4]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,5,4,3,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,2,7,5,4,6,3]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,5,6,3,4]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,2,7,5,6,4,3]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,2,7,6,3,5,4]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,2,7,6,4,3,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,2,7,6,4,5,3]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,2,7,6,5,3,4]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,4,6,7,5]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,5,6,4,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,5,6,7,4]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,5,7,6,4]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,2,6,4,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,5,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,6,7,4,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,6,7,5,4]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,5,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,2,7,5,6,4]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,6,4,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,2,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,3,4,2,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,4,2,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,3,4,2,6,7,5]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,4,2,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,4,2,7,6,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,4,5,2,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,3,4,5,2,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,5,6,2,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,3,4,5,6,7,2]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,3,4,5,7,2,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,3,4,5,7,6,2]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,3,4,6,2,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,4,6,2,7,5]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,6,5,2,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,3,4,6,5,7,2]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,6,7,2,5]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,3,4,6,7,5,2]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,3,4,7,2,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,4,7,2,6,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,4,7,5,2,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,4,7,5,6,2]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,4,7,6,2,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,3,4,7,6,5,2]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,5,2,6,4,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,3,5,2,6,7,4]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,5,2,7,6,4]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,5,4,2,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,3,5,4,2,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,5,4,6,2,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,3,5,4,6,7,2]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,5,4,7,2,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,5,4,7,6,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,5,6,2,4,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,5,6,2,7,4]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,5,6,4,2,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,3,5,6,4,7,2]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,3,5,6,7,4,2]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,5,7,2,6,4]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,5,7,4,2,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,5,7,4,6,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,5,7,6,2,4]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,3,5,7,6,4,2]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,6,2,4,7,5]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,5,7,4]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,6,2,7,4,5]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,6,2,7,5,4]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,6,4,2,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,3,6,4,2,7,5]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,6,4,5,2,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,4,5,7,2]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,6,4,7,2,5]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,6,4,7,5,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,6,5,2,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,3,6,5,2,7,4]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,6,5,4,2,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,3,6,5,4,7,2]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,6,5,7,2,4]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,6,5,7,4,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,6,7,2,4,5]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,6,7,2,5,4]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,6,7,4,2,5]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,6,7,4,5,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,6,7,5,2,4]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,3,6,7,5,4,2]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,7,2,5,6,4]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,2,6,5,4]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,4,2,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,3,7,4,2,6,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,4,5,2,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,7,4,5,6,2]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,4,6,2,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,4,6,5,2]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,5,2,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,3,7,5,2,6,4]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,5,4,2,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,3,7,5,4,6,2]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,5,6,2,4]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,5,6,4,2]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,6,2,4,5]=>[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,3,7,6,2,5,4]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,4,2,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,3,7,6,4,5,2]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,5,2,4]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,6,5,4,2]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,4,2,3,6,7,5]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,4,2,5,3,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,4,2,5,3,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,5,6,3,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,4,2,5,6,7,3]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,4,2,5,7,3,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,2,5,7,6,3]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,2,6,3,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,6,5,3,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,4,2,6,5,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,6,7,3,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,2,6,7,5,3]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,5,3,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,2,7,5,6,3]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,6,3,5]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,7,6,5,3]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,3,2,6,7,5]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,2,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,5,2,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,4,3,5,2,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,3,5,6,2,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,4,3,5,6,7,2]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,4,3,5,7,2,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,3,5,7,6,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,3,6,2,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,3,6,2,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,3,6,5,2,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,4,3,6,5,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,3,6,7,2,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,3,6,7,5,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,3,7,2,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,5,2,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,3,7,5,6,2]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,6,2,5]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,6,5,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,5,2,3,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,4,5,2,3,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,5,2,6,3,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,5,2,6,7,3]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,5,2,7,3,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,5,2,7,6,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,5,3,2,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,4,5,3,2,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,5,3,6,2,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,5,3,6,7,2]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,5,3,7,2,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,5,3,7,6,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,4,5,6,2,7,3]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,5,6,3,2,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,4,5,6,3,7,2]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,5,6,7,2,3]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,4,5,6,7,3,2]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,4,5,7,2,3,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,5,7,2,6,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,5,7,3,2,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,4,5,7,3,6,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,5,7,6,2,3]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,4,5,7,6,3,2]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,4,6,2,3,7,5]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,6,2,5,3,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,6,2,5,7,3]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,6,2,7,3,5]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,2,7,5,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,6,3,2,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,4,6,3,2,7,5]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,6,3,5,2,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,6,3,5,7,2]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,6,3,7,2,5]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,3,7,5,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,6,5,2,3,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,6,5,2,7,3]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,6,5,3,2,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,4,6,5,3,7,2]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,6,5,7,2,3]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,5,7,3,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,6,7,2,3,5]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,6,7,3,2,5]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,6,7,5,2,3]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,4,6,7,5,3,2]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,7,2,5,3,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,4,7,2,5,6,3]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,2,6,5,3]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,3,2,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,4,7,3,2,6,5]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,5,2,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,4,7,3,5,6,2]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,7,3,6,2,5]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,6,5,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,5,2,3,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,4,7,5,2,6,3]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,5,3,2,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,7,5,3,6,2]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,5,6,2,3]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,5,6,3,2]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,6,2,3,5]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,4,7,6,2,5,3]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,4,7,6,3,2,5]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,4,7,6,3,5,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,4,7,6,5,2,3]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,6,5,3,2]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,5,2,3,6,4,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,5,2,3,6,7,4]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,3,7,6,4]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,2,4,6,3,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,5,2,4,6,7,3]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,4,7,6,3]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,5,2,6,3,4,7]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,2,6,3,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,2,6,4,3,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,2,6,4,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,2,6,7,3,4]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,2,6,7,4,3]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,2,7,3,6,4]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,2,7,4,3,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,2,7,4,6,3]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,2,7,6,3,4]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,2,7,6,4,3]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,3,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[1,5,3,2,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,5,3,2,6,4,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,5,3,2,6,7,4]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,5,3,2,7,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,3,2,7,6,4]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,3,4,2,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,3,4,2,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,3,4,6,2,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,5,3,4,6,7,2]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,5,3,4,7,2,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,3,4,7,6,2]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,5,3,6,2,4,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,3,6,2,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,3,6,4,2,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,3,6,4,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,3,6,7,2,4]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,3,6,7,4,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,3,7,2,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,3,7,2,6,4]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,7,4,2,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,3,7,4,6,2]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,7,6,2,4]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,3,7,6,4,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,4,2,3,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[1,5,4,2,3,7,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,5,4,2,6,3,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,5,4,2,6,7,3]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,5,4,2,7,3,6]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,2,7,6,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,3,6,2,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,5,4,3,6,7,2]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,5,4,3,7,2,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,3,7,6,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,4,6,2,3,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,4,6,2,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,4,6,3,2,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,4,6,3,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,4,6,7,2,3]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,4,6,7,3,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,4,7,2,3,6]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,4,7,2,6,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,4,7,3,2,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,4,7,3,6,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,4,7,6,2,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,4,7,6,3,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,6,2,3,4,7]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,5,6,2,3,7,4]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,2,4,3,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,5,6,2,4,7,3]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,2,7,3,4]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,2,7,4,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,6,3,2,4,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,5,6,3,2,7,4]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,3,4,2,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,5,6,3,4,7,2]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,3,7,2,4]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,3,7,4,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,6,4,2,3,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,6,4,2,7,3]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,4,3,2,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,5,6,4,3,7,2]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,4,7,2,3]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,4,7,3,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,6,7,2,3,4]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,7,2,4,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,6,7,3,2,4]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,5,6,7,3,4,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,6,7,4,2,3]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,5,6,7,4,3,2]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,5,7,2,3,6,4]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,5,7,2,4,6,3]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,5,7,2,6,3,4]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,2,6,4,3]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,7,3,2,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,5,7,3,2,6,4]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,3,4,2,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,5,7,3,4,6,2]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,5,7,3,6,2,4]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,3,6,4,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,7,4,2,3,6]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,5,7,4,2,6,3]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,4,3,2,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,5,7,4,3,6,2]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,4,6,2,3]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,4,6,3,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,7,6,2,3,4]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,5,7,6,2,4,3]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,6,3,2,4]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,5,7,6,3,4,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,6,4,2,3]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,6,4,3,2]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[1,6,2,3,4,7,5]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,2,3,5,7,4]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,2,3,7,4,5]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,2,3,7,5,4]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,6,2,4,3,7,5]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,2,4,5,3,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,2,4,5,7,3]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,2,4,7,3,5]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,2,4,7,5,3]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,6,2,5,3,7,4]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,2,5,4,3,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,5,4,7,3]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,2,5,7,3,4]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,2,5,7,4,3]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,2,7,3,4,5]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,7,3,5,4]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,2,7,4,3,5]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,2,7,4,5,3]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,2,7,5,3,4]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,2,7,5,4,3]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,3,2,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,6,3,2,4,7,5]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,3,2,5,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,5,7,4]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,3,2,7,4,5]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,3,2,7,5,4]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,3,4,2,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,6,3,4,2,7,5]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,3,4,5,2,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,3,4,5,7,2]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,3,4,7,2,5]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,3,4,7,5,2]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,3,5,2,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,6,3,5,2,7,4]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,3,5,4,2,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,3,5,4,7,2]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,3,5,7,2,4]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,3,5,7,4,2]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,3,7,2,4,5]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,3,7,2,5,4]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,3,7,4,2,5]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,7,4,5,2]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,3,7,5,2,4]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,3,7,5,4,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,4,2,3,5,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,6,4,2,3,7,5]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,4,2,5,3,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,4,2,5,7,3]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,4,2,7,3,5]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,4,2,7,5,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,4,3,2,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,6,4,3,2,7,5]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,4,3,5,2,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,4,3,5,7,2]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,4,3,7,2,5]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,4,3,7,5,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,4,5,2,3,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,6,4,5,2,7,3]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,5,3,2,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,4,5,3,7,2]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,5,7,2,3]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,5,7,3,2]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,4,7,2,3,5]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,4,7,2,5,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,4,7,3,2,5]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,4,7,3,5,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,4,7,5,2,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,4,7,5,3,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,5,2,3,4,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[1,6,5,2,3,7,4]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,5,2,4,3,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,6,5,2,4,7,3]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,5,2,7,3,4]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,2,7,4,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,5,3,2,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,6,5,3,2,7,4]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,3,4,2,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,6,5,3,4,7,2]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,5,3,7,2,4]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,3,7,4,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,5,4,2,3,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,6,5,4,2,7,3]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,3,7,2]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,4,7,2,3]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,4,7,3,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,5,7,2,3,4]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,5,7,2,4,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,5,7,3,2,4]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,5,7,3,4,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,5,7,4,2,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,5,7,4,3,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,7,2,3,4,5]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,7,2,3,5,4]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,7,2,4,3,5]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,7,2,4,5,3]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,7,2,5,3,4]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,2,5,4,3]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,6,7,3,2,4,5]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,6,7,3,2,5,4]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,7,3,4,2,5]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,7,3,4,5,2]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,7,3,5,2,4]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,3,5,4,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,6,7,4,2,3,5]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,6,7,4,2,5,3]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,7,4,3,2,5]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,7,4,3,5,2]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,7,4,5,2,3]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,4,5,3,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,6,7,5,2,3,4]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,6,7,5,2,4,3]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,6,7,5,3,2,4]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,6,7,5,3,4,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,6,7,5,4,2,3]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,7,5,4,3,2]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,7,2,3,5,6,4]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,7,2,3,6,5,4]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,4,5,3,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,7,2,4,5,6,3]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,7,2,4,6,5,3]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,7,2,5,3,6,4]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,5,4,3,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,2,5,4,6,3]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,5,6,3,4]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,7,2,5,6,4,3]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,2,6,4,3,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,7,2,6,4,5,3]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,2,6,5,3,4]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,7,2,6,5,4,3]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,3,2,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,7,3,2,4,6,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,5,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,7,3,2,5,6,4]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,6,4,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,7,3,2,6,5,4]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,4,2,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,7,3,4,2,6,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,3,4,5,2,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,7,3,4,5,6,2]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,3,4,6,2,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,7,3,4,6,5,2]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,3,5,2,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,7,3,5,2,6,4]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,3,5,4,2,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,3,5,4,6,2]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,3,5,6,2,4]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,7,3,5,6,4,2]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,3,6,2,4,5]=>[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,7,3,6,2,5,4]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,4,2,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,7,3,6,4,5,2]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,5,2,4]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,7,3,6,5,4,2]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,4,2,3,5,6]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,7,4,2,3,6,5]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,7,4,2,5,3,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,7,4,2,5,6,3]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,4,2,6,3,5]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,7,4,2,6,5,3]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,4,3,2,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,7,4,3,2,6,5]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,5,2,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,7,4,3,5,6,2]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,4,3,6,2,5]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,7,4,3,6,5,2]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,4,5,2,3,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,7,4,5,2,6,3]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,4,5,3,2,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,4,5,3,6,2]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,4,5,6,2,3]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,7,4,5,6,3,2]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,4,6,2,3,5]=>[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,7,4,6,2,5,3]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,4,6,3,2,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,7,4,6,3,5,2]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,4,6,5,2,3]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,7,4,6,5,3,2]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,5,2,3,4,6]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,7,5,2,3,6,4]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,7,5,2,4,3,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,7,5,2,4,6,3]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,7,5,2,6,3,4]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,7,5,2,6,4,3]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,5,3,2,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[1,7,5,3,2,6,4]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,5,3,4,2,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,7,5,3,4,6,2]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,7,5,3,6,2,4]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,7,5,3,6,4,2]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,5,4,2,3,6]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[1,7,5,4,2,6,3]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,7,5,4,3,6,2]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,5,4,6,2,3]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,7,5,4,6,3,2]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,5,6,2,3,4]=>[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,7,5,6,2,4,3]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,5,6,3,2,4]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,7,5,6,3,4,2]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,5,6,4,2,3]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,7,5,6,4,3,2]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[1,7,6,2,3,5,4]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,7,6,2,4,3,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[1,7,6,2,4,5,3]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,7,6,2,5,3,4]=>[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[1,7,6,2,5,4,3]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,3,2,4,5]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[1,7,6,3,2,5,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,7,6,3,4,2,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[1,7,6,3,4,5,2]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,7,6,3,5,2,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[1,7,6,3,5,4,2]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,4,2,3,5]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[1,7,6,4,2,5,3]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,7,6,4,3,2,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,7,6,4,3,5,2]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,7,6,4,5,2,3]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[1,7,6,4,5,3,2]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,5,2,3,4]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[1,7,6,5,2,4,3]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,7,6,5,3,2,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,7,6,5,3,4,2]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,4,6,7,5]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,5,6,4,7]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,5,6,7,4]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,5,7,4,6]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,5,7,6,4]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,3,6,4,7,5]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,5,7,4]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,6,7,4,5]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,6,7,5,4]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,3,7,4,6,5]=>[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,5,4,6]=>[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,3,7,5,6,4]=>[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,6,4,5]=>[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,4,3,6,7,5]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,5,3,6,7]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,4,5,3,7,6]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,4,5,6,3,7]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,4,5,6,7,3]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,4,5,7,3,6]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,4,5,7,6,3]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,4,6,3,5,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,4,6,3,7,5]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,4,6,5,3,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,4,6,5,7,3]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,4,6,7,3,5]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,4,6,7,5,3]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,4,7,3,5,6]=>[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,4,7,3,6,5]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,5,3,6]=>[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,4,7,5,6,3]=>[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,6,3,5]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,6,5,3]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,5,3,6,4,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,5,3,6,7,4]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,5,3,7,4,6]=>[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,3,7,6,4]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,5,4,6,7,3]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,4,7,6,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,5,6,3,4,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,5,6,3,7,4]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,5,6,4,3,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,5,6,4,7,3]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,5,6,7,3,4]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,5,6,7,4,3]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,5,7,3,4,6]=>[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,7,3,6,4]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,4,3,6]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,5,7,4,6,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,6,3,4]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,6,4,3]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,1,6,3,4,7,5]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,6,3,5,4,7]=>[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,3,5,7,4]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,6,3,7,4,5]=>[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,3,7,5,4]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,4,3,5,7]=>[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,6,4,3,7,5]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,6,4,5,3,7]=>[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,4,5,7,3]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,6,4,7,3,5]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,4,7,5,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,5,3,4,7]=>[2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,1,6,5,3,7,4]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,4,7,3]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,6,5,7,3,4]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,5,7,4,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,7,3,4,5]=>[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,6,7,3,5,4]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,6,7,4,3,5]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,6,7,4,5,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,6,7,5,3,4]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,6,7,5,4,3]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,3,4,6,5]=>[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,5,4,6]=>[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,7,3,5,6,4]=>[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,6,4,5]=>[2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,7,3,6,5,4]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,4,3,5,6]=>[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,1,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,5,3,6]=>[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,7,4,5,6,3]=>[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,4,6,3,5]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,7,4,6,5,3]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,5,3,4,6]=>[2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,1,7,5,3,6,4]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,5,4,3,6]=>[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,1,7,5,4,6,3]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,5,6,3,4]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,7,5,6,4,3]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[2,1,7,6,3,5,4]=>[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,1,7,6,4,3,5]=>[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,1,7,6,4,5,3]=>[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,1,7,6,5,3,4]=>[2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[2,3,1,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,3,1,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,3,1,4,6,7,5]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,3,1,4,7,5,6]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,1,4,7,6,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,1,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,3,1,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,3,1,5,6,4,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,3,1,5,6,7,4]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,3,1,5,7,4,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,1,5,7,6,4]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,1,6,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,3,1,6,4,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,3,1,6,5,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[2,3,1,6,5,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,3,1,6,7,4,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,1,6,7,5,4]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,1,7,4,5,6]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,1,7,4,6,5]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,5,4,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,3,1,7,5,6,4]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,6,4,5]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,3,1,7,6,5,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[2,3,4,1,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,3,4,1,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,3,4,1,6,7,5]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,3,4,1,7,5,6]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,4,1,7,6,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,3,4,5,1,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,3,4,5,7,1,6]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,4,5,7,6,1]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,3,4,6,1,5,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,3,4,6,1,7,5]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,4,6,5,1,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[2,3,4,6,5,7,1]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,4,6,7,1,5]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,4,6,7,5,1]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,3,4,7,1,5,6]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,4,7,1,6,5]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,4,7,5,1,6]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,4,7,5,6,1]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,4,7,6,1,5]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,3,4,7,6,5,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,5,1,4,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,3,5,1,4,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,3,5,1,6,4,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,3,5,1,6,7,4]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,3,5,1,7,4,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,5,1,7,6,4]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,5,4,1,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,3,5,4,1,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,3,5,4,6,1,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,3,5,4,6,7,1]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,3,5,4,7,1,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,5,4,7,6,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,5,6,1,4,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,3,5,6,1,7,4]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,5,6,4,1,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[2,3,5,6,4,7,1]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,5,6,7,4,1]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,3,5,7,1,4,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,5,7,1,6,4]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,7,4,1,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,5,7,4,6,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,7,6,1,4]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,3,5,7,6,4,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,6,1,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,3,6,1,4,7,5]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,3,6,1,5,4,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[2,3,6,1,5,7,4]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,3,6,1,7,4,5]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,6,1,7,5,4]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,6,4,1,5,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[2,3,6,4,1,7,5]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,3,6,4,5,1,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[2,3,6,4,5,7,1]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,3,6,4,7,1,5]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,6,4,7,5,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,6,5,1,4,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[2,3,6,5,1,7,4]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,3,6,5,4,1,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[2,3,6,5,4,7,1]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,3,6,5,7,1,4]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,6,5,7,4,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,6,7,1,4,5]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,6,7,1,5,4]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,6,7,4,1,5]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,6,7,4,5,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,6,7,5,1,4]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,3,6,7,5,4,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,7,1,4,5,6]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,7,1,4,6,5]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,7,1,5,4,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,7,1,5,6,4]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,7,1,6,4,5]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,3,7,1,6,5,4]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,7,4,1,5,6]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,3,7,4,1,6,5]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,7,4,5,1,6]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,7,4,5,6,1]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,7,4,6,1,5]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,3,7,4,6,5,1]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,7,5,1,4,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,3,7,5,1,6,4]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,7,5,4,1,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,3,7,5,4,6,1]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,7,5,6,1,4]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,3,7,5,6,4,1]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,7,6,1,4,5]=>[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,3,7,6,1,5,4]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,3,7,6,4,1,5]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[2,3,7,6,4,5,1]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,3,7,6,5,1,4]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,3,7,6,5,4,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,4,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[2,4,1,3,5,7,6]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,4,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,4,1,3,6,7,5]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,4,1,3,7,5,6]=>[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,1,3,7,6,5]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,5,3,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,1,5,3,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,1,5,6,3,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,4,1,5,6,7,3]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,4,1,5,7,3,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,1,5,7,6,3]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,1,6,3,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,1,6,5,3,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[2,4,1,6,5,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,1,6,7,3,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,1,6,7,5,3]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,1,7,3,5,6]=>[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,1,7,3,6,5]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,5,3,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,1,7,5,6,3]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,6,3,5]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,7,6,5,3]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,3,1,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[2,4,3,1,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,4,3,1,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[2,4,3,1,6,7,5]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,4,3,1,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,4,3,1,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,4,3,5,1,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,3,5,1,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,3,5,6,1,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[2,4,3,5,6,7,1]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,4,3,5,7,1,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,3,5,7,6,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,3,6,1,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,3,6,1,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,3,6,5,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[2,4,3,6,5,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,3,6,7,1,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,3,6,7,5,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,3,7,1,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,3,7,1,6,5]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,3,7,5,1,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,3,7,5,6,1]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,3,7,6,1,5]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,3,7,6,5,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,5,1,3,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,4,5,1,3,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,5,1,6,3,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,4,5,1,6,7,3]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,4,5,1,7,3,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,5,1,7,6,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,5,3,1,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,4,5,3,1,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,4,5,3,6,1,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[2,4,5,3,6,7,1]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,4,5,3,7,1,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,5,3,7,6,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[2,4,5,6,1,7,3]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,4,5,6,3,1,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[2,4,5,6,3,7,1]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,4,5,6,7,1,3]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,4,5,6,7,3,1]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,4,5,7,1,3,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,5,7,1,6,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,5,7,3,1,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,4,5,7,3,6,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,5,7,6,1,3]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,4,5,7,6,3,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,4,6,1,3,5,7]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,6,1,3,7,5]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,6,1,5,3,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[2,4,6,1,5,7,3]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,6,1,7,3,5]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,6,1,7,5,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,6,3,1,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[2,4,6,3,1,7,5]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,4,6,3,5,1,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[2,4,6,3,5,7,1]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,6,3,7,1,5]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,6,3,7,5,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,6,5,1,3,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[2,4,6,5,1,7,3]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,4,6,5,3,1,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[2,4,6,5,3,7,1]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,4,6,5,7,1,3]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,6,5,7,3,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,6,7,1,3,5]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,6,7,3,1,5]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,6,7,5,1,3]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,4,6,7,5,3,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,4,7,1,3,5,6]=>[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,7,1,3,6,5]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,5,3,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,7,1,5,6,3]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,6,3,5]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,1,6,5,3]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,7,3,1,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,4,7,3,1,6,5]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,7,3,5,1,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,7,3,5,6,1]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,3,6,1,5]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,3,6,5,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,7,5,1,3,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,4,7,5,1,6,3]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,7,5,3,1,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,4,7,5,3,6,1]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,7,5,6,1,3]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,5,6,3,1]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,7,6,1,3,5]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,4,7,6,1,5,3]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,4,7,6,3,1,5]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[2,4,7,6,3,5,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,4,7,6,5,1,3]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,4,7,6,5,3,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,5,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[2,5,1,3,4,7,6]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,5,1,3,6,4,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,5,1,3,6,7,4]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,5,1,3,7,4,6]=>[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,3,7,6,4]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,1,4,3,6,7]=>[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,1,4,3,7,6]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,4,6,3,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,5,1,4,6,7,3]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,5,1,4,7,3,6]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,4,7,6,3]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,1,6,3,4,7]=>[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,5,1,6,3,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,1,6,4,3,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[2,5,1,6,4,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,1,6,7,3,4]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,5,1,6,7,4,3]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,5,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,1,7,3,6,4]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,1,7,4,3,6]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,1,7,4,6,3]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,1,7,6,3,4]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,1,7,6,4,3]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,3,1,4,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[2,5,3,1,4,7,6]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,5,3,1,6,4,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[2,5,3,1,6,7,4]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,5,3,1,7,4,6]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,3,1,7,6,4]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,3,4,1,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,3,4,1,7,6]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,3,4,6,1,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,5,3,4,6,7,1]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,5,3,4,7,1,6]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,3,4,7,6,1]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,3,6,1,4,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,5,3,6,1,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,3,6,4,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[2,5,3,6,4,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,3,6,7,1,4]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,5,3,6,7,4,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,5,3,7,1,4,6]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,3,7,1,6,4]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,3,7,4,1,6]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,3,7,4,6,1]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,3,7,6,1,4]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,3,7,6,4,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,4,1,3,6,7]=>[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,5,4,1,3,7,6]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,4,1,6,3,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[2,5,4,1,6,7,3]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,5,4,1,7,3,6]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,4,1,7,6,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,4,3,1,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[2,5,4,3,1,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,5,4,3,6,1,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[2,5,4,3,6,7,1]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,5,4,3,7,1,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,4,3,7,6,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,4,6,1,3,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,5,4,6,1,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,4,6,3,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[2,5,4,6,3,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,4,6,7,1,3]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,5,4,6,7,3,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,5,4,7,1,3,6]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,4,7,1,6,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,4,7,3,1,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,4,7,3,6,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,4,7,6,1,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,4,7,6,3,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,6,1,3,4,7]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,5,6,1,3,7,4]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,5,6,1,4,3,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[2,5,6,1,4,7,3]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,5,6,1,7,3,4]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,6,1,7,4,3]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,3,1,4,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[2,5,6,3,1,7,4]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,5,6,3,4,1,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[2,5,6,3,4,7,1]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,5,6,3,7,1,4]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,6,3,7,4,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,4,1,3,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[2,5,6,4,1,7,3]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,5,6,4,3,1,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[2,5,6,4,3,7,1]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,5,6,4,7,1,3]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,6,4,7,3,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,7,1,3,4]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,5,6,7,1,4,3]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,7,3,1,4]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,5,6,7,3,4,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,7,4,1,3]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,5,6,7,4,3,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,5,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,5,7,1,3,6,4]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,7,1,4,3,6]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,7,1,4,6,3]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,7,1,6,3,4]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,1,6,4,3]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,7,3,1,4,6]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,5,7,3,1,6,4]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,7,3,4,1,6]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,7,3,4,6,1]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,7,3,6,1,4]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,3,6,4,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,7,4,1,3,6]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,5,7,4,1,6,3]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,7,4,3,1,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,5,7,4,3,6,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,7,4,6,1,3]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,4,6,3,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,7,6,1,3,4]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,5,7,6,1,4,3]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,7,6,3,1,4]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[2,5,7,6,3,4,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,7,6,4,1,3]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,5,7,6,4,3,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,6,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[2,6,1,3,4,7,5]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,6,1,3,5,4,7]=>[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,3,5,7,4]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,6,1,3,7,4,5]=>[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,1,3,7,5,4]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,6,1,4,3,7,5]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,1,4,5,3,7]=>[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,4,5,7,3]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,6,1,4,7,3,5]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,1,4,7,5,3]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,5,3,4,7]=>[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,1,5,3,7,4]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,1,5,4,3,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,5,4,7,3]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,1,5,7,3,4]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,1,5,7,4,3]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,7,3,4,5]=>[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,1,7,3,5,4]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,4,3,5]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,1,7,4,5,3]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,5,3,4]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,6,1,7,5,4,3]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,6,3,1,4,5,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[2,6,3,1,4,7,5]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,6,3,1,5,4,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,3,1,5,7,4]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,6,3,1,7,4,5]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,3,1,7,5,4]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,3,4,1,5,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,6,3,4,1,7,5]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,3,4,5,1,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,3,4,5,7,1]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,6,3,4,7,1,5]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,3,4,7,5,1]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,3,5,1,4,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,3,5,1,7,4]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,3,5,4,1,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,3,5,4,7,1]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,3,5,7,1,4]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,3,5,7,4,1]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,3,7,1,4,5]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,3,7,1,5,4]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,4,1,5]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,3,7,4,5,1]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,5,1,4]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,6,3,7,5,4,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,6,4,1,3,5,7]=>[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[2,6,4,1,3,7,5]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,6,4,1,5,3,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,4,1,5,7,3]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,6,4,1,7,3,5]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,4,1,7,5,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,4,3,1,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,6,4,3,1,7,5]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,6,4,3,5,1,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,4,3,5,7,1]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,6,4,3,7,1,5]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,4,3,7,5,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,4,5,1,3,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,4,5,1,7,3]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,4,5,3,1,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,4,5,3,7,1]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,4,5,7,1,3]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,4,5,7,3,1]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,4,7,1,3,5]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,4,7,1,5,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,4,7,3,1,5]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,4,7,3,5,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,4,7,5,1,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,6,4,7,5,3,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,6,5,1,3,4,7]=>[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[2,6,5,1,3,7,4]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,6,5,1,4,3,7]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,1,4,7,3]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,6,5,1,7,3,4]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,5,1,7,4,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,3,1,4,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,6,5,3,1,7,4]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,6,5,3,4,1,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,3,4,7,1]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,6,5,3,7,1,4]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,5,3,7,4,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,4,1,3,7]=>[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,5,4,1,7,3]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,6,5,4,3,1,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[2,6,5,4,3,7,1]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,6,5,4,7,1,3]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,5,4,7,3,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,7,1,3,4]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,5,7,1,4,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,7,3,1,4]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,5,7,3,4,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,7,4,1,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,6,5,7,4,3,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,6,7,1,3,4,5]=>[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,6,7,1,3,5,4]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,1,4,3,5]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,6,7,1,4,5,3]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,1,5,3,4]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,6,7,1,5,4,3]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,6,7,3,1,4,5]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,6,7,3,1,5,4]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,3,4,1,5]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,6,7,3,4,5,1]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,3,5,1,4]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,6,7,3,5,4,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,6,7,4,1,3,5]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,6,7,4,1,5,3]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,4,3,1,5]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,6,7,4,3,5,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,4,5,1,3]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,6,7,4,5,3,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,6,7,5,1,3,4]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,6,7,5,1,4,3]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,6,7,5,3,1,4]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[2,6,7,5,3,4,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,6,7,5,4,1,3]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,6,7,5,4,3,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,7,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,6,5]=>[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,5,4,6]=>[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,7,1,3,5,6,4]=>[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,6,4,5]=>[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,1,3,6,5,4]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,4,3,5,6]=>[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,7,1,4,3,6,5]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,5,3,6]=>[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,7,1,4,5,6,3]=>[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,4,6,3,5]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,1,4,6,5,3]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,5,3,4,6]=>[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,7,1,5,3,6,4]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,5,4,3,6]=>[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,1,5,4,6,3]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,5,6,3,4]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,1,5,6,4,3]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,6,3,4,5]=>[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[2,7,1,6,3,5,4]=>[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,1,6,4,3,5]=>[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,7,1,6,4,5,3]=>[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,1,6,5,3,4]=>[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,3,1,4,5,6]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,7,3,1,4,6,5]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,5,4,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,7,3,1,5,6,4]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,6,4,5]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,3,1,6,5,4]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,4,1,5,6]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,7,3,4,1,6,5]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,4,5,1,6]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,7,3,4,5,6,1]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,3,4,6,1,5]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,3,4,6,5,1]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,3,5,1,4,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,7,3,5,1,6,4]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,5,4,1,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,3,5,4,6,1]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,5,6,1,4]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,3,5,6,4,1]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,3,6,1,4,5]=>[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[2,7,3,6,1,5,4]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,4,1,5]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,7,3,6,4,5,1]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,5,1,4]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,6,5,4,1]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,4,1,3,5,6]=>[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[2,7,4,1,3,6,5]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,1,5,3,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,7,4,1,5,6,3]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,1,6,5,3]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,4,3,1,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,7,4,3,1,6,5]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,5,1,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,7,4,3,5,6,1]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,4,3,6,1,5]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,6,5,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,4,5,1,3,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,7,4,5,1,6,3]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,5,3,1,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,4,5,3,6,1]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,5,6,1,3]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,4,5,6,3,1]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,4,6,1,3,5]=>[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[2,7,4,6,1,5,3]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,4,6,3,1,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,7,4,6,3,5,1]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,4,6,5,1,3]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,4,6,5,3,1]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,5,1,3,4,6]=>[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[2,7,5,1,3,6,4]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,7,5,1,4,6,3]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,5,1,6,3,4]=>[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,5,1,6,4,3]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,5,3,1,4,6]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[2,7,5,3,1,6,4]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,3,4,1,6]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,7,5,3,4,6,1]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,5,3,6,1,4]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,5,3,6,4,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,5,4,1,3,6]=>[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[2,7,5,4,1,6,3]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,4,3,1,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,7,5,4,3,6,1]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,4,6,1,3]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,5,4,6,3,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,5,6,1,3,4]=>[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[2,7,5,6,1,4,3]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,5,6,3,1,4]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,7,5,6,3,4,1]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,5,6,4,1,3]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,5,6,4,3,1]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[2,7,6,1,3,5,4]=>[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,7,6,1,4,3,5]=>[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[2,7,6,1,4,5,3]=>[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,7,6,1,5,3,4]=>[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,3,1,4,5]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[2,7,6,3,1,5,4]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,7,6,3,4,1,5]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[2,7,6,3,4,5,1]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,7,6,3,5,1,4]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,7,6,3,5,4,1]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,4,1,3,5]=>[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[2,7,6,4,1,5,3]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,7,6,4,3,1,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[2,7,6,4,3,5,1]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,7,6,4,5,1,3]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,7,6,4,5,3,1]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,5,1,3,4]=>[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,5,3,1,4]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[2,7,6,5,3,4,1]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,5,4,3,1]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,1,2,4,6,7,5]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,1,2,4,7,6,5]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,2,5,6,4,7]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,1,2,5,6,7,4]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,1,2,5,7,4,6]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,1,2,5,7,6,4]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,2,6,4,7,5]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,2,6,5,4,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,1,2,6,5,7,4]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,2,6,7,4,5]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,1,2,6,7,5,4]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,1,2,7,4,6,5]=>[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,2,7,5,4,6]=>[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,2,7,5,6,4]=>[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,2,7,6,4,5]=>[3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,2,7,6,5,4]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,1,4,2,5,6,7]=>[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[3,1,4,2,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,4,2,6,5,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,1,4,2,6,7,5]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,4,2,7,5,6]=>[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,4,2,7,6,5]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,4,5,2,6,7]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[3,1,4,5,2,7,6]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,4,5,6,2,7]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,1,4,5,6,7,2]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,1,4,5,7,2,6]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,4,5,7,6,2]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,1,4,6,2,5,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,1,4,6,2,7,5]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,4,6,5,2,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[3,1,4,6,5,7,2]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,4,6,7,2,5]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,4,6,7,5,2]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,1,4,7,2,5,6]=>[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,4,7,2,6,5]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,4,7,5,2,6]=>[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,4,7,5,6,2]=>[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,4,7,6,2,5]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,4,7,6,5,2]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,1,5,2,4,7,6]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,5,2,6,4,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,1,5,2,6,7,4]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,5,2,7,4,6]=>[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,2,7,6,4]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,5,4,2,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[3,1,5,4,2,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,5,4,6,2,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,1,5,4,6,7,2]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,5,4,7,2,6]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,4,7,6,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,5,6,2,4,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,1,5,6,2,7,4]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,5,6,4,2,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[3,1,5,6,4,7,2]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,5,6,7,2,4]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,5,6,7,4,2]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,1,5,7,2,4,6]=>[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,5,7,2,6,4]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,5,7,4,2,6]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,5,7,4,6,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,5,7,6,2,4]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,5,7,6,4,2]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,1,6,2,4,5,7]=>[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,1,6,2,4,7,5]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,6,2,5,4,7]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,5,7,4]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,6,2,7,4,5]=>[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,6,2,7,5,4]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,6,4,2,5,7]=>[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,6,4,2,7,5]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,6,4,5,2,7]=>[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,4,5,7,2]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,6,4,7,2,5]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,6,4,7,5,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,6,5,2,4,7]=>[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,6,5,2,7,4]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,6,5,4,2,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,1,6,5,4,7,2]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,6,5,7,2,4]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,6,5,7,4,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,6,7,2,4,5]=>[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,6,7,2,5,4]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,6,7,4,2,5]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,6,7,4,5,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,6,7,5,2,4]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,6,7,5,4,2]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,1,7,2,4,5,6]=>[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,7,2,4,6,5]=>[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,5,4,6]=>[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,1,7,2,5,6,4]=>[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,6,4,5]=>[3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,2,6,5,4]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,4,2,5,6]=>[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,1,7,4,2,6,5]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,4,5,2,6]=>[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,1,7,4,5,6,2]=>[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,4,6,2,5]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,6,5,2]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,5,2,4,6]=>[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,1,7,5,2,6,4]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,5,4,2,6]=>[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,1,7,5,4,6,2]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,5,6,2,4]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,5,6,4,2]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,6,2,4,5]=>[3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,1,7,6,2,5,4]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,4,2,5]=>[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,1,7,6,4,5,2]=>[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,5,2,4]=>[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,6,5,4,2]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,1,4,6,7,5]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,5,6,4,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,1,5,6,7,4]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,5,7,4,6]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,1,6,4,7,5]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,5,7,4]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,6,7,4,5]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,6,7,5,4]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,1,7,4,6,5]=>[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,5,4,6]=>[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,2,1,7,5,6,4]=>[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,6,4,5]=>[3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7]=>[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[3,2,4,1,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,2,4,1,6,5,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,2,4,1,6,7,5]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,2,4,1,7,5,6]=>[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,4,1,7,6,5]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,4,5,1,6,7]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[3,2,4,5,1,7,6]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,2,4,5,6,1,7]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,2,4,5,6,7,1]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,2,4,5,7,1,6]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,2,4,5,7,6,1]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,2,4,6,1,5,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,2,4,6,1,7,5]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,2,4,6,5,1,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[3,2,4,6,5,7,1]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,2,4,6,7,1,5]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,2,4,6,7,5,1]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,2,4,7,1,5,6]=>[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,4,7,1,6,5]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,4,7,5,1,6]=>[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,2,4,7,5,6,1]=>[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,4,7,6,1,5]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,4,7,6,5,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,5,1,4,6,7]=>[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,2,5,1,4,7,6]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,2,5,1,6,4,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,2,5,1,6,7,4]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,2,5,1,7,4,6]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,5,1,7,6,4]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,5,4,1,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[3,2,5,4,1,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,2,5,4,6,1,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,2,5,4,6,7,1]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,2,5,4,7,1,6]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,5,4,7,6,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,5,6,1,4,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,2,5,6,1,7,4]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,2,5,6,4,1,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[3,2,5,6,4,7,1]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,2,5,6,7,1,4]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,2,5,6,7,4,1]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,2,5,7,1,4,6]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,5,7,1,6,4]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,5,7,4,1,6]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,2,5,7,4,6,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,5,7,6,1,4]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,5,7,6,4,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,6,1,4,5,7]=>[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,2,6,1,4,7,5]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,2,6,1,5,4,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,1,5,7,4]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,2,6,1,7,4,5]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,6,1,7,5,4]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,6,4,1,5,7]=>[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,2,6,4,1,7,5]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,2,6,4,5,1,7]=>[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,4,5,7,1]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,2,6,4,7,1,5]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,6,4,7,5,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,6,5,1,4,7]=>[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,6,5,1,7,4]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,2,6,5,4,1,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,2,6,5,4,7,1]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,2,6,5,7,1,4]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,6,5,7,4,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,6,7,1,4,5]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,6,7,1,5,4]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,6,7,4,1,5]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,2,6,7,4,5,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,6,7,5,1,4]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,6,7,5,4,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,7,1,4,5,6]=>[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,2,7,1,4,6,5]=>[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,5,4,6]=>[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,2,7,1,5,6,4]=>[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,6,4,5]=>[3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,4,1,5,6]=>[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,2,7,4,1,6,5]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,4,5,1,6]=>[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,2,7,4,5,6,1]=>[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,4,6,1,5]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,6,5,1]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,5,1,4,6]=>[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,2,7,5,1,6,4]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,5,4,1,6]=>[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,2,7,5,4,6,1]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,5,6,1,4]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,5,6,4,1]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,6,1,4,5]=>[3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,4,1,5]=>[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,2,7,6,4,5,1]=>[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,6,5,4,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[3,4,1,2,5,6,7]=>[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[3,4,1,2,5,7,6]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,4,1,2,6,5,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,4,1,2,6,7,5]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,4,1,2,7,5,6]=>[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,1,2,7,6,5]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,1,5,2,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[3,4,1,5,2,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,5,6,2,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,1,5,6,7,2]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,1,5,7,2,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,1,5,7,6,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,1,6,2,5,7]=>[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,1,6,2,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,6,5,2,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,4,1,6,5,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,6,7,2,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,1,6,7,5,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,1,7,2,5,6]=>[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,7,2,6,5]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,1,7,5,2,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,4,1,7,5,6,2]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,1,7,6,2,5]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,1,7,6,5,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[3,4,2,1,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,4,2,1,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,4,2,1,6,7,5]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,4,2,1,7,5,6]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,4,2,1,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[3,4,2,5,1,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,2,5,7,1,6]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,2,5,7,6,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,2,6,1,5,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,4,2,6,1,7,5]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,2,6,5,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,4,2,6,5,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,2,6,7,1,5]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,2,6,7,5,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,2,7,1,5,6]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,2,7,1,6,5]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,2,7,5,1,6]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,4,2,7,5,6,1]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,2,7,6,1,5]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,2,7,6,5,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[3,4,5,1,2,7,6]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,5,1,6,2,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,4,5,1,6,7,2]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,4,5,1,7,2,6]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,5,1,7,6,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[3,4,5,2,1,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,4,5,2,7,1,6]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,5,2,7,6,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,5,6,1,2,7]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[3,4,5,6,1,7,2]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,6,7,1,2]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[3,4,5,7,1,2,6]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,5,7,1,6,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,5,7,2,1,6]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,4,5,7,2,6,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,5,7,6,1,2]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,4,5,7,6,2,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,4,6,1,2,5,7]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,4,6,1,2,7,5]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,6,1,5,2,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[3,4,6,1,5,7,2]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,6,1,7,2,5]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,6,1,7,5,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,6,2,1,5,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[3,4,6,2,1,7,5]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,4,6,2,5,1,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[3,4,6,2,5,7,1]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,6,2,7,1,5]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,6,2,7,5,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,6,5,1,2,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[3,4,6,5,1,7,2]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,4,6,5,2,1,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[3,4,6,5,2,7,1]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,4,6,5,7,1,2]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,6,5,7,2,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,6,7,1,2,5]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,6,7,1,5,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,6,7,2,1,5]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,4,6,7,2,5,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,6,7,5,1,2]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,4,6,7,5,2,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,4,7,1,2,5,6]=>[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,1,2,6,5]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,7,1,5,2,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,4,7,1,5,6,2]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,7,1,6,2,5]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,7,1,6,5,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,7,2,1,5,6]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,7,2,1,6,5]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,7,2,5,1,6]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,4,7,2,5,6,1]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,7,2,6,1,5]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,7,2,6,5,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,7,5,1,2,6]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,4,7,5,1,6,2]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,7,5,2,1,6]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[3,4,7,5,2,6,1]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,7,5,6,1,2]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,7,5,6,2,1]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,7,6,1,2,5]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,4,7,6,1,5,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,7,6,2,1,5]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,4,7,6,2,5,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,7,6,5,1,2]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,4,7,6,5,2,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,5,1,2,4,6,7]=>[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[3,5,1,2,4,7,6]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,5,1,2,6,4,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,5,1,2,6,7,4]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,5,1,2,7,4,6]=>[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,1,2,7,6,4]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,1,4,2,6,7]=>[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[3,5,1,4,2,7,6]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,1,4,6,2,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,5,1,4,6,7,2]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,5,1,4,7,2,6]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,1,4,7,6,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,1,6,2,4,7]=>[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,1,6,2,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,6,4,2,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,5,1,6,4,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,1,6,7,4,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,5,1,7,2,4,6]=>[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,7,2,6,4]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,4,2,6]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,5,1,7,4,6,2]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,6,2,4]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,5,1,7,6,4,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,2,1,4,6,7]=>[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[3,5,2,1,4,7,6]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,5,2,1,6,4,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,5,2,1,6,7,4]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,5,2,1,7,4,6]=>[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,2,1,7,6,4]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,2,4,1,6,7]=>[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[3,5,2,4,1,7,6]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,2,4,6,1,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,5,2,4,6,7,1]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,5,2,4,7,1,6]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,2,4,7,6,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,2,6,1,4,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,2,6,1,7,4]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,2,6,4,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,5,2,6,4,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,2,6,7,4,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,5,2,7,1,4,6]=>[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,2,7,1,6,4]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,2,7,4,1,6]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,5,2,7,4,6,1]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,2,7,6,1,4]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,5,2,7,6,4,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,4,1,2,6,7]=>[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[3,5,4,1,2,7,6]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,4,1,6,2,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,5,4,1,6,7,2]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,5,4,1,7,2,6]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,4,1,7,6,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,4,2,1,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[3,5,4,2,1,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,5,4,2,6,1,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,5,4,2,6,7,1]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,5,4,2,7,1,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,4,2,7,6,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,4,6,1,2,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,4,6,1,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,4,6,2,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,5,4,6,2,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,4,6,7,1,2]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,4,6,7,2,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,5,4,7,1,2,6]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,4,7,1,6,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,4,7,2,1,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,5,4,7,2,6,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,4,7,6,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,5,4,7,6,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,6,1,2,4,7]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,5,6,1,2,7,4]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[3,5,6,1,4,7,2]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,6,1,7,2,4]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,6,1,7,4,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,6,2,1,4,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[3,5,6,2,1,7,4]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[3,5,6,2,4,7,1]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,6,2,7,1,4]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,6,2,7,4,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,6,4,1,2,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[3,5,6,4,1,7,2]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,5,6,4,2,1,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[3,5,6,4,2,7,1]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,5,6,4,7,1,2]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,6,4,7,2,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,6,7,1,2,4]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,5,6,7,1,4,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,5,6,7,2,1,4]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,5,6,7,2,4,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,5,6,7,4,1,2]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,6,7,4,2,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,7,1,2,6,4]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,7,1,4,2,6]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,5,7,1,4,6,2]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,7,1,6,2,4]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,7,1,6,4,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,7,2,1,4,6]=>[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,5,7,2,1,6,4]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,7,2,4,1,6]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,5,7,2,4,6,1]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,7,2,6,1,4]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,7,2,6,4,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,7,4,1,2,6]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,5,7,4,1,6,2]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,7,4,2,1,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[3,5,7,4,2,6,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,7,4,6,1,2]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,7,4,6,2,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,7,6,1,2,4]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,7,6,1,4,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,7,6,2,1,4]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,5,7,6,2,4,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,7,6,4,1,2]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,5,7,6,4,2,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,6,1,2,4,5,7]=>[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,6,1,2,4,7,5]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,6,1,2,5,4,7]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,2,5,7,4]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,6,1,2,7,4,5]=>[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,2,7,5,4]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,1,4,2,5,7]=>[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,1,4,2,7,5]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,1,4,5,2,7]=>[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,4,5,7,2]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,6,1,4,7,2,5]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,4,7,5,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,1,5,2,4,7]=>[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,1,5,2,7,4]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,1,5,4,2,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,1,5,4,7,2]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,1,5,7,2,4]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,5,7,4,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,1,7,2,4,5]=>[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,1,7,2,5,4]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,4,2,5]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,1,7,4,5,2]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,5,2,4]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,7,5,4,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,1,4,5,7]=>[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,2,1,4,7,5]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,6,2,1,5,4,7]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,5,7,4]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,6,2,1,7,4,5]=>[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,2,1,7,5,4]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,2,4,1,5,7]=>[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,2,4,1,7,5]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,2,4,5,1,7]=>[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,4,5,7,1]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,6,2,4,7,1,5]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,2,4,7,5,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,2,5,1,4,7]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,2,5,1,7,4]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,2,5,4,1,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,2,5,4,7,1]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,2,5,7,1,4]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,2,5,7,4,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,2,7,1,4,5]=>[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,2,7,1,5,4]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,2,7,4,1,5]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,2,7,4,5,1]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,2,7,5,1,4]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,2,7,5,4,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,4,1,2,5,7]=>[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,6,4,1,2,7,5]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,4,1,5,2,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,4,1,5,7,2]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,6,4,1,7,2,5]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,4,1,7,5,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,4,2,1,5,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,6,4,2,1,7,5]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,6,4,2,5,1,7]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,4,2,5,7,1]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,6,4,2,7,1,5]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,4,2,7,5,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,4,5,1,2,7]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,4,5,1,7,2]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,4,5,2,1,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,4,5,2,7,1]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,4,5,7,1,2]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,4,5,7,2,1]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,4,7,1,2,5]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,4,7,1,5,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,4,7,2,1,5]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,4,7,2,5,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,4,7,5,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,4,7,5,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,5,1,2,4,7]=>[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,6,5,1,2,7,4]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,5,1,4,2,7]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,5,1,4,7,2]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,5,1,7,2,4]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,5,1,7,4,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,5,2,1,4,7]=>[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,6,5,2,1,7,4]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,6,5,2,4,1,7]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,5,2,4,7,1]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,5,2,7,1,4]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,5,2,7,4,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,5,4,1,2,7]=>[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,5,4,1,7,2]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,6,5,4,2,1,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,6,5,4,2,7,1]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,6,5,4,7,1,2]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,5,4,7,2,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,5,7,1,2,4]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,5,7,1,4,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,5,7,2,1,4]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,5,7,2,4,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,5,7,4,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,5,7,4,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,7,1,2,4,5]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,6,7,1,2,5,4]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,7,1,4,2,5]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,6,7,1,4,5,2]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,7,1,5,2,4]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,1,5,4,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,2,1,4,5]=>[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,6,7,2,1,5,4]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,7,2,4,1,5]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,6,7,2,4,5,1]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,7,2,5,1,4]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,2,5,4,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,4,1,2,5]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,6,7,4,1,5,2]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,7,4,2,1,5]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[3,6,7,4,2,5,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,7,4,5,1,2]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,4,5,2,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,5,1,2,4]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,6,7,5,1,4,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,6,7,5,2,1,4]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,6,7,5,2,4,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,6,7,5,4,1,2]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,6,7,5,4,2,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,7,1,2,4,5,6]=>[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,4,6,5]=>[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,1,2,5,4,6]=>[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,7,1,2,5,6,4]=>[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,1,2,6,4,5]=>[3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,2,6,5,4]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,1,4,2,5,6]=>[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,7,1,4,2,6,5]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,4,5,2,6]=>[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,7,1,4,5,6,2]=>[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,1,4,6,2,5]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,6,5,2]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,1,5,2,4,6]=>[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,7,1,5,2,6,4]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,5,4,2,6]=>[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,7,1,5,4,6,2]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,5,6,2,4]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,5,6,4,2]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,1,6,2,4,5]=>[3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,7,1,6,2,5,4]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,4,2,5]=>[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,1,6,4,5,2]=>[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,5,2,4]=>[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,6,5,4,2]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,2,1,4,5,6]=>[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[3,7,2,1,4,6,5]=>[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,5,4,6]=>[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[3,7,2,1,5,6,4]=>[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,6,4,5]=>[3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,2,1,6,5,4]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,4,1,5,6]=>[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,7,2,4,1,6,5]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,4,5,1,6]=>[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,7,2,4,5,6,1]=>[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,2,4,6,1,5]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,4,6,5,1]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,2,5,1,4,6]=>[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,7,2,5,1,6,4]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,5,4,1,6]=>[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,7,2,5,4,6,1]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,5,6,1,4]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,5,6,4,1]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,2,6,1,4,5]=>[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,4,1,5]=>[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,2,6,4,5,1]=>[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,5,1,4]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,6,5,4,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,4,1,2,5,6]=>[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[3,7,4,1,2,6,5]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,7,4,1,5,2,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[3,7,4,1,5,6,2]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,4,1,6,2,5]=>[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,6,5,2]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,4,2,1,5,6]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[3,7,4,2,1,6,5]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,5,1,6]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[3,7,4,2,5,6,1]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,4,2,6,1,5]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,6,5,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,4,5,1,2,6]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,7,4,5,1,6,2]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,4,5,2,1,6]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,7,4,5,2,6,1]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,4,5,6,1,2]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,4,5,6,2,1]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,6,1,2,5]=>[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,7,4,6,1,5,2]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,4,6,2,1,5]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,4,6,2,5,1]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,4,6,5,1,2]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,4,6,5,2,1]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,5,1,2,4,6]=>[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[3,7,5,1,2,6,4]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,7,5,1,4,2,6]=>[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[3,7,5,1,4,6,2]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,7,5,1,6,2,4]=>[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,5,1,6,4,2]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,2,1,4,6]=>[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[3,7,5,2,1,6,4]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,2,4,1,6]=>[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[3,7,5,2,4,6,1]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,7,5,2,6,1,4]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,5,2,6,4,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,4,1,2,6]=>[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[3,7,5,4,1,6,2]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,4,2,1,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[3,7,5,4,2,6,1]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,4,6,1,2]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,5,4,6,2,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,6,1,2,4]=>[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,7,5,6,1,4,2]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,5,6,2,1,4]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,5,6,2,4,1]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,5,6,4,1,2]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,5,6,4,2,1]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,6,1,2,4,5]=>[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,7,6,1,2,5,4]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,7,6,1,4,2,5]=>[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,6,1,4,5,2]=>[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,7,6,1,5,2,4]=>[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,7,6,1,5,4,2]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,7,6,2,1,4,5]=>[3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[3,7,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,7,6,2,4,1,5]=>[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,6,2,4,5,1]=>[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,7,6,2,5,1,4]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,7,6,2,5,4,1]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,7,6,4,1,2,5]=>[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[3,7,6,4,1,5,2]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,7,6,4,2,1,5]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,7,6,4,2,5,1]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,7,6,4,5,1,2]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,7,6,4,5,2,1]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,7,6,5,1,2,4]=>[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[3,7,6,5,1,4,2]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[3,7,6,5,2,4,1]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,5,4,1,2]=>[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,5,4,2,1]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,1,2,3,6,7,5]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,2,3,7,6,5]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[4,1,2,5,3,6,7]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,1,2,5,3,7,6]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,2,5,6,3,7]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,1,2,5,6,7,3]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,1,2,5,7,3,6]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,2,5,7,6,3]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,1,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,2,6,3,7,5]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,2,6,5,3,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,1,2,6,5,7,3]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,2,6,7,3,5]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,2,6,7,5,3]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,1,2,7,3,5,6]=>[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,3,6,5]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,5,3,6]=>[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,2,7,5,6,3]=>[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,6,3,5]=>[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,7,6,5,3]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,1,3,2,5,6,7]=>[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,1,3,2,5,7,6]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,3,2,6,5,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,3,2,6,7,5]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,3,2,7,5,6]=>[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,3,2,7,6,5]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,5,2,6,7]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,1,3,5,2,7,6]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,3,5,6,2,7]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,1,3,5,6,7,2]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,1,3,5,7,2,6]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,3,5,7,6,2]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,1,3,6,2,5,7]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,3,6,2,7,5]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,3,6,5,2,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,1,3,6,5,7,2]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,3,6,7,2,5]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,3,6,7,5,2]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,1,3,7,2,5,6]=>[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,1,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,5,2,6]=>[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,3,7,5,6,2]=>[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,6,2,5]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,7,6,5,2]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,1,5,2,3,6,7]=>[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,1,5,2,3,7,6]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,5,2,6,3,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,1,5,2,6,7,3]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,5,2,7,3,6]=>[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,5,2,7,6,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,5,3,2,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[4,1,5,3,2,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,5,3,6,2,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,1,5,3,6,7,2]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,5,3,7,2,6]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,5,3,7,6,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,5,6,2,3,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,1,5,6,2,7,3]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,5,6,3,2,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,1,5,6,3,7,2]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,5,6,7,2,3]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,5,6,7,3,2]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,1,5,7,2,3,6]=>[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,5,7,2,6,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,5,7,3,2,6]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,1,5,7,3,6,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,5,7,6,2,3]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,1,5,7,6,3,2]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,6,2,3,7,5]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,6,2,5,3,7]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,2,5,7,3]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,6,2,7,3,5]=>[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,2,7,5,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,6,3,2,5,7]=>[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,6,3,2,7,5]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,6,3,5,2,7]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,3,5,7,2]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,6,3,7,2,5]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,3,7,5,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,6,5,2,3,7]=>[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,6,5,2,7,3]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,6,5,3,2,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,6,5,3,7,2]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,6,5,7,2,3]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,5,7,3,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,6,7,2,3,5]=>[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,6,7,2,5,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,6,7,3,2,5]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,1,6,7,3,5,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,6,7,5,2,3]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,1,6,7,5,3,2]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,1,7,2,3,5,6]=>[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,1,7,2,3,6,5]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,1,7,2,5,3,6]=>[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,1,7,2,5,6,3]=>[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,2,6,5,3]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,1,7,3,2,5,6]=>[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[4,1,7,3,2,6,5]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,3,5,2,6]=>[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,1,7,3,5,6,2]=>[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,1,7,3,6,2,5]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,3,6,5,2]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,1,7,5,2,3,6]=>[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[4,1,7,5,2,6,3]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,5,3,2,6]=>[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[4,1,7,5,3,6,2]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,5,6,2,3]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,5,6,3,2]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,1,7,6,2,3,5]=>[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,7,6,2,5,3]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,1,7,6,3,2,5]=>[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,7,6,3,5,2]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,1,7,6,5,2,3]=>[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,6,5,3,2]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,2,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[4,2,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[4,2,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,2,1,3,6,7,5]=>[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[4,2,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,2,1,3,7,6,5]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[4,2,1,5,3,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,2,1,5,6,3,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[4,2,1,5,6,7,3]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[4,2,1,5,7,3,6]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,2,1,5,7,6,3]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,2,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,6,3,7,5]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,2,1,6,5,3,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,1,6,5,7,3]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,2,1,6,7,3,5]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,2,1,6,7,5,3]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,2,1,7,3,6,5]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,5,3,6]=>[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,1,7,5,6,3]=>[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,6,3,5]=>[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,6,5,3]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,2,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,2,3,1,5,7,6]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,2,3,1,6,5,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,2,3,1,6,7,5]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,2,3,1,7,5,6]=>[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,3,1,7,6,5]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,3,5,1,6,7]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,2,3,5,1,7,6]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,2,3,5,6,1,7]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,2,3,5,6,7,1]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,2,3,5,7,1,6]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,2,3,5,7,6,1]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,2,3,6,1,5,7]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,2,3,6,1,7,5]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,2,3,6,5,1,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,2,3,6,5,7,1]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,2,3,6,7,1,5]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,2,3,6,7,5,1]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,2,3,7,1,5,6]=>[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,2,3,7,1,6,5]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,2,3,7,5,1,6]=>[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,2,3,7,5,6,1]=>[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,2,3,7,6,1,5]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,2,3,7,6,5,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,2,5,1,3,6,7]=>[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,2,5,1,3,7,6]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,5,1,6,3,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,2,5,1,6,7,3]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,2,5,1,7,3,6]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,5,1,7,6,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,5,3,1,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[4,2,5,3,1,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,2,5,3,6,1,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,2,5,3,6,7,1]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,2,5,3,7,1,6]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,5,3,7,6,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,5,6,1,3,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,2,5,6,1,7,3]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,2,5,6,3,1,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,2,5,6,3,7,1]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,2,5,6,7,1,3]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,2,5,6,7,3,1]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,2,5,7,1,3,6]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,5,7,1,6,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,5,7,3,1,6]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,2,5,7,3,6,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,5,7,6,1,3]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,5,7,6,3,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,2,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,6,1,3,7,5]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,6,1,5,3,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,1,5,7,3]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,6,1,7,3,5]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,6,1,7,5,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,6,3,1,5,7]=>[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,3,1,7,5]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,2,6,3,5,1,7]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,3,5,7,1]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,6,3,7,1,5]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,6,3,7,5,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,6,5,1,3,7]=>[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,6,5,1,7,3]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,2,6,5,3,1,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,6,5,3,7,1]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,2,6,5,7,1,3]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,6,5,7,3,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,6,7,1,3,5]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,6,7,1,5,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,6,7,3,1,5]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,2,6,7,3,5,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,6,7,5,1,3]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,6,7,5,3,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,2,7,1,3,5,6]=>[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,7,1,3,6,5]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,1,5,3,6]=>[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,7,1,5,6,3]=>[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,1,6,3,5]=>[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,6,5,3]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,3,1,5,6]=>[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[4,2,7,3,1,6,5]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,5,1,6]=>[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,7,3,5,6,1]=>[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,3,6,1,5]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,6,5,1]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,5,1,3,6]=>[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[4,2,7,5,1,6,3]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,5,3,1,6]=>[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[4,2,7,5,3,6,1]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,5,6,1,3]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,5,6,3,1]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,6,1,3,5]=>[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,2,7,6,1,5,3]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,6,3,1,5]=>[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,6,3,5,1]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,6,5,1,3]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,2,7,6,5,3,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,1,2,5,6,7]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[4,3,1,2,5,7,6]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[4,3,1,2,6,5,7]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,3,1,2,6,7,5]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[4,3,1,2,7,5,6]=>[4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,3,1,2,7,6,5]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,3,1,5,2,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[4,3,1,5,2,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,1,5,6,2,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[4,3,1,5,6,7,2]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[4,3,1,5,7,2,6]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,3,1,5,7,6,2]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,3,1,6,2,5,7]=>[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,6,2,7,5]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,1,6,5,2,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,1,6,5,7,2]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,1,6,7,2,5]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,3,1,6,7,5,2]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,3,1,7,2,5,6]=>[4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,3,1,7,2,6,5]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,5,2,6]=>[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,1,7,5,6,2]=>[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,6,2,5]=>[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,6,5,2]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,1,6,7,5]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,1,7,5,6]=>[4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,5,1,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[4,3,2,5,1,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,2,5,6,1,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[4,3,2,5,6,7,1]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[4,3,2,5,7,1,6]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,3,2,5,7,6,1]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,3,2,6,1,5,7]=>[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,2,6,1,7,5]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,2,6,5,1,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,2,6,5,7,1]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,2,6,7,1,5]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,3,2,6,7,5,1]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,3,2,7,1,5,6]=>[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,3,2,7,1,6,5]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,5,1,6]=>[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,2,7,5,6,1]=>[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,6,1,5]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,7,6,5,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,5,1,2,6,7]=>[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,3,5,1,2,7,6]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,3,5,1,6,2,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,3,5,1,6,7,2]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,3,5,1,7,2,6]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,5,1,7,6,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,5,2,1,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[4,3,5,2,1,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,3,5,2,6,1,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,3,5,2,6,7,1]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,3,5,2,7,1,6]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,5,2,7,6,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,5,6,1,2,7]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,3,5,6,1,7,2]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,5,6,2,1,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,3,5,6,2,7,1]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,5,6,7,1,2]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,3,5,6,7,2,1]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,3,5,7,1,2,6]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,5,7,1,6,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,3,5,7,2,1,6]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,3,5,7,2,6,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,3,5,7,6,1,2]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,3,5,7,6,2,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,3,6,1,2,5,7]=>[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,6,1,2,7,5]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,3,6,1,5,2,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,1,5,7,2]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,3,6,1,7,2,5]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,6,1,7,5,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,6,2,1,5,7]=>[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,2,1,7,5]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,3,6,2,5,1,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,2,5,7,1]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,3,6,2,7,1,5]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,6,2,7,5,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,6,5,1,2,7]=>[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,6,5,1,7,2]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,3,6,5,2,1,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,6,5,2,7,1]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,3,6,5,7,1,2]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,6,5,7,2,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,3,6,7,1,2,5]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,6,7,1,5,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,3,6,7,2,1,5]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,3,6,7,2,5,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,3,6,7,5,1,2]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,3,6,7,5,2,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,3,7,1,2,5,6]=>[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,7,1,2,6,5]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,3,7,1,5,2,6]=>[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,3,7,1,5,6,2]=>[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,3,7,1,6,2,5]=>[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,6,5,2]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,2,1,5,6]=>[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,2,5,1,6]=>[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,3,7,2,5,6,1]=>[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,2,6,5,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,5,1,2,6]=>[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[4,3,7,5,1,6,2]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,5,2,1,6]=>[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[4,3,7,5,2,6,1]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,5,6,1,2]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,5,6,2,1]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,6,1,2,5]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,7,6,1,5,2]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,3,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,6,2,5,1]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,3,7,6,5,1,2]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,7,6,5,2,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,5,1,2,3,6,7]=>[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,5,1,2,3,7,6]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,5,1,2,6,3,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,5,1,2,6,7,3]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,5,1,2,7,3,6]=>[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,1,2,7,6,3]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,1,3,2,6,7]=>[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[4,5,1,3,2,7,6]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,5,1,3,6,2,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,5,1,3,6,7,2]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,5,1,3,7,2,6]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,1,3,7,6,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,1,6,2,3,7]=>[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,5,1,6,2,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,1,6,3,2,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,5,1,6,3,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,1,6,7,2,3]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,1,6,7,3,2]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,5,1,7,2,3,6]=>[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,1,7,2,6,3]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,1,7,3,2,6]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,5,1,7,3,6,2]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,1,7,6,2,3]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,1,7,6,3,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,2,1,3,6,7]=>[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[4,5,2,1,3,7,6]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,5,2,1,6,3,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,5,2,1,6,7,3]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,5,2,1,7,3,6]=>[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,2,1,7,6,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,2,3,1,6,7]=>[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[4,5,2,3,1,7,6]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,5,2,3,6,1,7]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,5,2,3,6,7,1]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,5,2,3,7,1,6]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,2,3,7,6,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,2,6,1,3,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,5,2,6,1,7,3]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,2,6,3,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,5,2,6,3,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,2,6,7,1,3]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,2,6,7,3,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,5,2,7,1,3,6]=>[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,2,7,1,6,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,7,3,1,6]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,5,2,7,3,6,1]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,7,6,1,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,2,7,6,3,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,3,1,2,6,7]=>[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[4,5,3,1,2,7,6]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,3,1,6,2,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,5,3,1,6,7,2]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,5,3,1,7,2,6]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,3,1,7,6,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,3,2,1,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[4,5,3,2,1,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,5,3,2,7,1,6]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,3,2,7,6,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,3,6,1,2,7]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,5,3,6,1,7,2]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,3,6,7,1,2]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,5,3,7,1,2,6]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,3,7,1,6,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,3,7,2,1,6]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,5,3,7,2,6,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,3,7,6,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,3,7,6,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,6,1,2,3,7]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,6,1,2,7,3]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,6,1,3,2,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,1,3,7,2]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,6,1,7,2,3]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,6,1,7,3,2]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,6,2,1,3,7]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,6,2,1,7,3]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,5,6,2,3,1,7]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,2,3,7,1]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,6,2,7,1,3]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,6,2,7,3,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,6,3,1,2,7]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,5,6,3,1,7,2]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,5,6,3,7,1,2]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,6,7,1,2,3]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,7,1,3,2]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,6,7,2,1,3]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,5,6,7,2,3,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,6,7,3,1,2]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[4,5,7,1,2,3,6]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,7,1,2,6,3]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,1,3,2,6]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,5,7,1,3,6,2]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,1,6,2,3]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,7,1,6,3,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,7,2,1,3,6]=>[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,5,7,2,1,6,3]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,7,2,3,1,6]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,5,7,2,3,6,1]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,2,6,1,3]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,7,2,6,3,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,7,3,1,2,6]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,5,7,3,1,6,2]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,7,3,2,1,6]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,5,7,3,2,6,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,7,3,6,1,2]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,7,3,6,2,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,7,6,1,2,3]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,7,6,1,3,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,7,6,2,1,3]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,5,7,6,2,3,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,7,6,3,1,2]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,5,7,6,3,2,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,6,1,2,3,5,7]=>[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,6,1,2,3,7,5]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,1,2,5,3,7]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,6,1,2,5,7,3]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,1,2,7,3,5]=>[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,1,2,7,5,3]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,1,3,2,5,7]=>[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,6,1,3,2,7,5]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,1,3,5,2,7]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,6,1,3,5,7,2]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,1,3,7,2,5]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,1,3,7,5,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,1,5,2,3,7]=>[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,5,2,7,3]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,1,5,3,2,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,6,1,5,3,7,2]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,1,5,7,2,3]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,1,5,7,3,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,1,7,2,3,5]=>[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,1,7,2,5,3]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,1,7,3,2,5]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,6,1,7,3,5,2]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,1,7,5,2,3]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,1,7,5,3,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,2,1,3,5,7]=>[4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,6,2,1,3,7,5]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,6,2,1,5,3,7]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,6,2,1,5,7,3]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,6,2,1,7,3,5]=>[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,2,1,7,5,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,2,3,1,5,7]=>[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,6,2,3,1,7,5]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,2,3,5,1,7]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,6,2,3,5,7,1]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,2,3,7,1,5]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,2,3,7,5,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,2,5,1,3,7]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,2,5,1,7,3]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,2,5,3,1,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,6,2,5,3,7,1]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,2,5,7,1,3]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,2,5,7,3,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,2,7,1,3,5]=>[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,2,7,1,5,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,2,7,3,1,5]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,6,2,7,3,5,1]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,2,7,5,1,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,2,7,5,3,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,3,1,2,5,7]=>[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,3,1,2,7,5]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,6,3,1,5,2,7]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,6,3,1,5,7,2]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,6,3,1,7,2,5]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,3,1,7,5,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,3,2,1,5,7]=>[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,6,3,2,1,7,5]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,6,3,2,5,1,7]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,6,3,2,5,7,1]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,6,3,2,7,1,5]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,3,2,7,5,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,3,5,1,2,7]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,3,5,1,7,2]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,3,5,2,1,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,6,3,5,2,7,1]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,3,5,7,1,2]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,3,5,7,2,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,3,7,1,2,5]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,3,7,1,5,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,3,7,2,1,5]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,6,3,7,2,5,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,3,7,5,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,3,7,5,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,5,1,2,3,7]=>[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,6,5,1,2,7,3]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,6,5,1,3,2,7]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,5,1,3,7,2]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,6,5,1,7,2,3]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,1,7,3,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,5,2,1,3,7]=>[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[4,6,5,2,1,7,3]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,6,5,2,3,1,7]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,5,2,3,7,1]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,6,5,2,7,1,3]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,2,7,3,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,5,3,1,2,7]=>[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,5,3,1,7,2]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,6,5,3,2,1,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[4,6,5,3,2,7,1]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,6,5,3,7,1,2]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,3,7,2,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,5,7,1,2,3]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,7,1,3,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,5,7,2,1,3]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,6,5,7,2,3,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,5,7,3,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,5,7,3,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,7,1,2,3,5]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,6,7,1,2,5,3]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,7,1,3,2,5]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,7,1,3,5,2]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,7,1,5,2,3]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,1,5,3,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,6,7,2,1,3,5]=>[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,6,7,2,1,5,3]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,7,2,3,1,5]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,7,2,3,5,1]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,7,2,5,1,3]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,2,5,3,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,6,7,3,1,2,5]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,6,7,3,1,5,2]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,7,3,2,1,5]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,6,7,3,2,5,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,7,3,5,1,2]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,3,5,2,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,6,7,5,1,2,3]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,7,5,1,3,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,7,5,2,1,3]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,6,7,5,2,3,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,7,5,3,1,2]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,6,7,5,3,2,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,7,1,2,3,5,6]=>[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,2,3,6,5]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,7,1,2,5,3,6]=>[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[4,7,1,2,5,6,3]=>[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,7,1,2,6,3,5]=>[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,2,6,5,3]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,1,3,2,5,6]=>[4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[4,7,1,3,2,6,5]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,3,5,2,6]=>[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[4,7,1,3,5,6,2]=>[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,7,1,3,6,2,5]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,3,6,5,2]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,1,5,2,3,6]=>[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,7,1,5,2,6,3]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,5,3,2,6]=>[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[4,7,1,5,3,6,2]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,5,6,2,3]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,5,6,3,2]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,1,6,2,5,3]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,1,6,3,2,5]=>[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,1,6,3,5,2]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,1,6,5,2,3]=>[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,6,5,3,2]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,2,1,3,5,6]=>[4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[4,7,2,1,3,6,5]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,2,1,5,3,6]=>[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,7,2,1,5,6,3]=>[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,2,1,6,3,5]=>[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,6,5,3]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,2,3,1,5,6]=>[4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[4,7,2,3,1,6,5]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,2,3,5,1,6]=>[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[4,7,2,3,5,6,1]=>[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,7,2,3,6,1,5]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,2,3,6,5,1]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,2,5,1,3,6]=>[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,7,2,5,1,6,3]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,2,5,3,1,6]=>[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[4,7,2,5,3,6,1]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,2,5,6,1,3]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,2,5,6,3,1]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,2,6,1,3,5]=>[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,2,6,1,5,3]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,6,3,1,5]=>[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,2,6,3,5,1]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,6,5,1,3]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,2,6,5,3,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,1,2,5,6]=>[4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[4,7,3,1,2,6,5]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,3,1,5,2,6]=>[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,7,3,1,5,6,2]=>[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,3,1,6,2,5]=>[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,6,5,2]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,3,2,1,5,6]=>[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[4,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,2,5,1,6]=>[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,7,3,2,5,6,1]=>[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,6,5,1]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,3,5,1,2,6]=>[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,7,3,5,1,6,2]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,3,5,2,1,6]=>[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[4,7,3,5,2,6,1]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,3,5,6,1,2]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,3,5,6,2,1]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,3,6,1,2,5]=>[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,3,6,1,5,2]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,3,6,2,5,1]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,6,5,1,2]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,3,6,5,2,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,5,1,2,3,6]=>[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,7,5,1,2,6,3]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,5,1,3,2,6]=>[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,7,5,1,3,6,2]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,5,1,6,2,3]=>[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,5,1,6,3,2]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,5,2,1,3,6]=>[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[4,7,5,2,1,6,3]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,5,2,3,1,6]=>[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,7,5,2,3,6,1]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,5,2,6,1,3]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,5,2,6,3,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,5,3,1,2,6]=>[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[4,7,5,3,1,6,2]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,5,3,2,1,6]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[4,7,5,3,2,6,1]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,5,3,6,1,2]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,5,3,6,2,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,5,6,1,2,3]=>[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,5,6,1,3,2]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,5,6,2,1,3]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,5,6,2,3,1]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,5,6,3,1,2]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,5,6,3,2,1]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,6,1,2,3,5]=>[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,7,6,1,2,5,3]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,6,1,3,2,5]=>[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,7,6,1,3,5,2]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,6,1,5,2,3]=>[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,7,6,1,5,3,2]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,2,1,3,5]=>[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[4,7,6,2,1,5,3]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,7,6,2,3,1,5]=>[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,7,6,2,3,5,1]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,6,2,5,1,3]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,7,6,2,5,3,1]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,3,1,2,5]=>[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[4,7,6,3,1,5,2]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,7,6,3,2,5,1]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,7,6,3,5,1,2]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,7,6,3,5,2,1]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,5,1,2,3]=>[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,7,6,5,1,3,2]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[4,7,6,5,2,1,3]=>[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,7,6,5,2,3,1]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[4,7,6,5,3,1,2]=>[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,5,3,2,1]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,1,2,3,6,4,7]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,1,2,3,6,7,4]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[5,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,7,6,4]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,1,2,4,3,6,7]=>[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,4,3,7,6]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,2,4,6,3,7]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,1,2,4,6,7,3]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[5,1,2,4,7,3,6]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,7,6,3]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,1,2,6,3,4,7]=>[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,1,2,6,3,7,4]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,2,6,4,3,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,1,2,6,4,7,3]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,2,6,7,3,4]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,1,2,6,7,4,3]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,1,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,1,2,7,3,6,4]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,1,2,7,4,3,6]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,2,7,4,6,3]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,1,2,7,6,3,4]=>[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,2,7,6,4,3]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,1,3,2,4,6,7]=>[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[5,1,3,2,4,7,6]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,1,3,2,6,4,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,3,2,6,7,4]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,1,3,2,7,4,6]=>[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,2,7,6,4]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,1,3,4,2,6,7]=>[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,3,4,2,7,6]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,3,4,6,2,7]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,1,3,4,6,7,2]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[5,1,3,4,7,2,6]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,7,6,2]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,1,3,6,2,4,7]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,1,3,6,2,7,4]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,3,6,4,2,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,1,3,6,4,7,2]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,3,6,7,2,4]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,1,3,6,7,4,2]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,1,3,7,2,4,6]=>[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,1,3,7,2,6,4]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,1,3,7,4,2,6]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,4,6,2]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,1,3,7,6,2,4]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,3,7,6,4,2]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,1,4,2,3,6,7]=>[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,1,4,2,3,7,6]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,1,4,2,6,3,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,4,2,6,7,3]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,1,4,2,7,3,6]=>[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,2,7,6,3]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,1,4,3,2,6,7]=>[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,4,3,2,7,6]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,3,6,2,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,4,3,6,7,2]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,1,4,3,7,2,6]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,3,7,6,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,1,4,6,2,3,7]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,1,4,6,2,7,3]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,4,6,3,2,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,1,4,6,3,7,2]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,4,6,7,2,3]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,1,4,6,7,3,2]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,1,4,7,2,3,6]=>[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,1,4,7,2,6,3]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,1,4,7,3,2,6]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,3,6,2]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,1,4,7,6,2,3]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,4,7,6,3,2]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,1,6,2,3,4,7]=>[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,1,6,2,3,7,4]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,6,2,4,3,7]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,6,2,4,7,3]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,6,2,7,3,4]=>[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,6,2,7,4,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,3,2,4,7]=>[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,6,3,2,7,4]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,6,3,4,2,7]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,6,3,4,7,2]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,6,3,7,2,4]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,6,3,7,4,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,4,2,3,7]=>[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,1,6,4,2,7,3]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,6,4,3,2,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,1,6,4,3,7,2]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,6,4,7,2,3]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,6,4,7,3,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,7,2,3,4]=>[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,6,7,2,4,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,1,6,7,3,2,4]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,6,7,3,4,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,1,6,7,4,2,3]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,1,6,7,4,3,2]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,1,7,2,3,4,6]=>[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,1,7,2,3,6,4]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,1,7,2,4,3,6]=>[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,1,7,2,4,6,3]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,1,7,2,6,3,4]=>[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,2,6,4,3]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,1,7,3,2,4,6]=>[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,1,7,3,2,6,4]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,1,7,3,4,2,6]=>[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,1,7,3,4,6,2]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,1,7,3,6,2,4]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,3,6,4,2]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,1,7,4,2,3,6]=>[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,1,7,4,2,6,3]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,1,7,4,3,2,6]=>[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,1,7,4,3,6,2]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,1,7,4,6,2,3]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,4,6,3,2]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,1,7,6,2,3,4]=>[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,1,7,6,2,4,3]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,1,7,6,3,2,4]=>[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,1,7,6,3,4,2]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,1,7,6,4,2,3]=>[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,6,4,3,2]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,2,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[5,2,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[5,2,1,3,6,4,7]=>[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[5,2,1,3,6,7,4]=>[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[5,2,1,3,7,4,6]=>[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,1,3,7,6,4]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,2,1,4,3,6,7]=>[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,2,1,4,3,7,6]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,4,6,3,7]=>[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[5,2,1,4,6,7,3]=>[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[5,2,1,4,7,3,6]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,1,4,7,6,3]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,2,1,6,3,4,7]=>[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,1,6,3,7,4]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,2,1,6,4,3,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,1,6,4,7,3]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,2,1,6,7,3,4]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,2,1,6,7,4,3]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,2,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,2,1,7,3,6,4]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,1,7,4,3,6]=>[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,1,7,4,6,3]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,1,7,6,3,4]=>[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,7,6,4,3]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,2,3,1,4,6,7]=>[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[5,2,3,1,4,7,6]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,2,3,1,6,4,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,3,1,6,7,4]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,2,3,1,7,4,6]=>[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,2,3,1,7,6,4]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,2,3,4,1,6,7]=>[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,2,3,4,1,7,6]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,2,3,4,6,1,7]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,2,3,4,6,7,1]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[5,2,3,4,7,1,6]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,2,3,4,7,6,1]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,2,3,6,1,4,7]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,2,3,6,1,7,4]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,3,6,4,1,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,2,3,6,4,7,1]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,3,6,7,1,4]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,2,3,6,7,4,1]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,2,3,7,1,4,6]=>[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,3,7,1,6,4]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,3,7,4,1,6]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,2,3,7,4,6,1]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,3,7,6,1,4]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,2,3,7,6,4,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,2,4,1,3,6,7]=>[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,2,4,1,3,7,6]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,2,4,1,6,3,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,1,6,7,3]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,2,4,1,7,3,6]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,2,4,1,7,6,3]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,2,4,3,1,6,7]=>[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,2,4,3,1,7,6]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,2,4,3,6,1,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,3,6,7,1]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,2,4,3,7,1,6]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,2,4,3,7,6,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,2,4,6,1,3,7]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,2,4,6,1,7,3]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,4,6,3,1,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,2,4,6,3,7,1]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,4,6,7,1,3]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,2,4,6,7,3,1]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,2,4,7,1,3,6]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,4,7,1,6,3]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,4,7,3,1,6]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,2,4,7,3,6,1]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,4,7,6,1,3]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,2,4,7,6,3,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,2,6,1,3,4,7]=>[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,6,1,3,7,4]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,2,6,1,4,3,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,6,1,4,7,3]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,2,6,1,7,3,4]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,2,6,1,7,4,3]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,6,3,1,4,7]=>[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,6,3,1,7,4]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,6,3,4,1,7]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,6,3,4,7,1]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,2,6,3,7,1,4]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,2,6,3,7,4,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,6,4,1,3,7]=>[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,2,6,4,1,7,3]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,6,4,3,1,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,2,6,4,3,7,1]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,6,4,7,1,3]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,2,6,4,7,3,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,6,7,1,3,4]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,6,7,1,4,3]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,6,7,3,1,4]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,2,6,7,3,4,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,6,7,4,1,3]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,2,6,7,4,3,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,2,7,1,3,4,6]=>[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,2,7,1,3,6,4]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,7,1,4,3,6]=>[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,7,1,4,6,3]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,7,1,6,3,4]=>[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,6,4,3]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,7,3,1,4,6]=>[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,2,7,3,1,6,4]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,3,4,1,6]=>[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,7,3,4,6,1]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,7,3,6,1,4]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,3,6,4,1]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,7,4,1,3,6]=>[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,7,4,1,6,3]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,4,3,1,6]=>[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,2,7,4,3,6,1]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,4,6,1,3]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,4,6,3,1]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,7,6,1,3,4]=>[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,2,7,6,1,4,3]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,7,6,3,1,4]=>[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,6,3,4,1]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,7,6,4,1,3]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,2,7,6,4,3,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,3,1,2,4,6,7]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[5,3,1,2,4,7,6]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[5,3,1,2,6,4,7]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[5,3,1,2,6,7,4]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[5,3,1,2,7,4,6]=>[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,3,1,2,7,6,4]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,3,1,4,2,6,7]=>[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,3,1,4,2,7,6]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,1,4,6,2,7]=>[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[5,3,1,4,6,7,2]=>[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[5,3,1,4,7,2,6]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,3,1,4,7,6,2]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,3,1,6,2,4,7]=>[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,1,6,2,7,4]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,1,6,4,2,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,6,4,7,2]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,1,6,7,2,4]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,3,1,6,7,4,2]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,3,1,7,2,4,6]=>[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,1,7,2,6,4]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,1,7,4,2,6]=>[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,4,6,2]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,1,7,6,2,4]=>[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,3,1,7,6,4,2]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,2,1,4,6,7]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,3,2,1,4,7,6]=>[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[5,3,2,1,6,4,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,2,1,6,7,4]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[5,3,2,1,7,4,6]=>[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,2,1,7,6,4]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,3,2,4,1,6,7]=>[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,3,2,4,1,7,6]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,2,4,6,1,7]=>[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[5,3,2,4,6,7,1]=>[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[5,3,2,4,7,1,6]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,3,2,4,7,6,1]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,3,2,6,1,4,7]=>[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,6,1,7,4]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,2,6,4,1,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,6,4,7,1]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,2,6,7,1,4]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,3,2,6,7,4,1]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,3,2,7,1,4,6]=>[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,2,7,1,6,4]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,2,7,4,1,6]=>[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,2,7,4,6,1]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,2,7,6,1,4]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,3,2,7,6,4,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,4,1,2,6,7]=>[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,3,4,1,2,7,6]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,3,4,1,6,2,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,4,1,6,7,2]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,3,4,1,7,2,6]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,3,4,1,7,6,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,3,4,2,1,6,7]=>[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,3,4,2,1,7,6]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,3,4,2,6,1,7]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,4,2,6,7,1]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,3,4,2,7,1,6]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,3,4,2,7,6,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,3,4,6,1,2,7]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,3,4,6,1,7,2]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,3,4,6,2,1,7]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,3,4,6,2,7,1]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,3,4,6,7,1,2]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,3,4,6,7,2,1]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,3,4,7,1,2,6]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,4,7,1,6,2]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,3,4,7,2,1,6]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,3,4,7,2,6,1]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,3,4,7,6,1,2]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,3,4,7,6,2,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,3,6,1,2,4,7]=>[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,3,6,1,2,7,4]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,6,1,4,2,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,6,1,4,7,2]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,6,1,7,2,4]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,1,7,4,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,3,6,2,1,4,7]=>[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,6,2,1,7,4]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,3,6,2,4,1,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,6,2,4,7,1]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,6,2,7,1,4]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,2,7,4,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,3,6,4,1,2,7]=>[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,3,6,4,1,7,2]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,3,6,4,2,1,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,3,6,4,2,7,1]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,3,6,4,7,1,2]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,6,4,7,2,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,3,6,7,1,2,4]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,3,6,7,1,4,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,3,6,7,2,1,4]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,3,6,7,2,4,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,6,7,4,2,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,3,7,1,2,6,4]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,3,7,1,4,2,6]=>[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,3,7,1,4,6,2]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,3,7,1,6,2,4]=>[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,7,1,6,4,2]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,7,2,1,4,6]=>[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,3,7,2,1,6,4]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,3,7,2,4,1,6]=>[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,3,7,2,4,6,1]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,3,7,2,6,1,4]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,7,2,6,4,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,7,4,1,2,6]=>[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,3,7,4,1,6,2]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,3,7,4,2,1,6]=>[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,3,7,4,2,6,1]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,3,7,4,6,1,2]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,7,4,6,2,1]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,7,6,1,2,4]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,3,7,6,1,4,2]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,7,6,2,1,4]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,6,2,4,1]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,7,6,4,1,2]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,3,7,6,4,2,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,4,1,2,3,6,7]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[5,4,1,2,3,7,6]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[5,4,1,2,6,3,7]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[5,4,1,2,6,7,3]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[5,4,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,4,1,2,7,6,3]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,4,1,3,2,6,7]=>[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[5,4,1,3,2,7,6]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,4,1,3,6,2,7]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[5,4,1,3,6,7,2]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[5,4,1,3,7,2,6]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,4,1,3,7,6,2]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,4,1,6,2,3,7]=>[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,4,1,6,2,7,3]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,1,6,3,2,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,4,1,6,3,7,2]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,1,6,7,2,3]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,4,1,6,7,3,2]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,4,1,7,2,3,6]=>[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,4,1,7,2,6,3]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,1,7,3,2,6]=>[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,1,7,3,6,2]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,1,7,6,2,3]=>[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,4,1,7,6,3,2]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,2,1,3,6,7]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,4,2,1,3,7,6]=>[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[5,4,2,1,6,3,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,2,1,6,7,3]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[5,4,2,1,7,3,6]=>[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,2,1,7,6,3]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,4,2,3,1,6,7]=>[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[5,4,2,3,1,7,6]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,4,2,3,6,1,7]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[5,4,2,3,6,7,1]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[5,4,2,3,7,1,6]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,4,2,3,7,6,1]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,4,2,6,1,3,7]=>[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,4,2,6,1,7,3]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,2,6,3,1,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,4,2,6,3,7,1]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,2,6,7,1,3]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,4,2,6,7,3,1]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,4,2,7,1,3,6]=>[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,4,2,7,1,6,3]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,2,7,3,1,6]=>[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,2,7,3,6,1]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,2,7,6,1,3]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,4,2,7,6,3,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,3,1,2,6,7]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,4,3,1,2,7,6]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[5,4,3,1,6,2,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,1,6,7,2]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,1,7,6,2]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,2,6,1,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,2,6,7,1]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,2,7,6,1]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,4,3,6,1,2,7]=>[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,4,3,6,1,7,2]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,3,6,2,1,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,4,3,6,2,7,1]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,3,6,7,1,2]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,4,3,6,7,2,1]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,4,3,7,1,2,6]=>[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,4,3,7,1,6,2]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,3,7,2,1,6]=>[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,3,7,2,6,1]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,3,7,6,1,2]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,4,3,7,6,2,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,6,1,2,3,7]=>[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,4,6,1,2,7,3]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,6,1,3,2,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,4,6,1,3,7,2]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,6,1,7,2,3]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,6,1,7,3,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,6,2,1,3,7]=>[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,4,6,2,1,7,3]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,6,2,3,1,7]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,4,6,2,3,7,1]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,6,2,7,1,3]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,6,2,7,3,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,6,3,1,2,7]=>[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,6,3,1,7,2]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,6,3,2,1,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,4,6,3,2,7,1]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,6,3,7,1,2]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,6,3,7,2,1]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,6,7,1,2,3]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,4,6,7,1,3,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,4,6,7,2,1,3]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,4,6,7,2,3,1]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,4,6,7,3,1,2]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,4,6,7,3,2,1]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,4,7,1,2,6,3]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,4,7,1,3,2,6]=>[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,4,7,1,3,6,2]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,4,7,1,6,2,3]=>[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,7,1,6,3,2]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,7,2,1,3,6]=>[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,7,2,1,6,3]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,2,3,1,6]=>[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,4,7,2,3,6,1]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,4,7,2,6,1,3]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,7,2,6,3,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,7,3,1,2,6]=>[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,4,7,3,1,6,2]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,3,2,1,6]=>[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,4,7,3,2,6,1]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,3,6,1,2]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,7,3,6,2,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,7,6,1,2,3]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,4,7,6,1,3,2]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,4,7,6,2,1,3]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,6,2,3,1]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,4,7,6,3,1,2]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,4,7,6,3,2,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,6,1,2,3,4,7]=>[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[5,6,1,2,3,7,4]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,6,1,2,4,3,7]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,6,1,2,4,7,3]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,6,1,2,7,3,4]=>[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,1,2,7,4,3]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,1,3,2,4,7]=>[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[5,6,1,3,2,7,4]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,1,3,4,2,7]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,6,1,3,4,7,2]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,6,1,3,7,2,4]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,1,3,7,4,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,1,4,2,3,7]=>[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,1,4,2,7,3]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,1,4,3,2,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[5,6,1,4,3,7,2]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,1,4,7,2,3]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,1,4,7,3,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,1,7,2,3,4]=>[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,1,7,2,4,3]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,1,7,3,2,4]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,6,1,7,3,4,2]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,1,7,4,2,3]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,1,7,4,3,2]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,6,2,1,3,4,7]=>[4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[5,6,2,1,3,7,4]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,6,2,1,4,3,7]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,6,2,1,4,7,3]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,6,2,1,7,3,4]=>[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,2,1,7,4,3]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,2,3,1,4,7]=>[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[5,6,2,3,1,7,4]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,2,3,4,1,7]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,6,2,3,4,7,1]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,6,2,3,7,1,4]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,3,7,4,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,2,4,1,3,7]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,2,4,1,7,3]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,2,4,3,1,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[5,6,2,4,3,7,1]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,2,4,7,1,3]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,2,4,7,3,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,2,7,1,3,4]=>[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,2,7,1,4,3]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,7,3,1,4]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,6,2,7,3,4,1]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,7,4,1,3]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,2,7,4,3,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,6,3,1,2,4,7]=>[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,6,3,1,2,7,4]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,6,3,1,4,2,7]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,6,3,1,4,7,2]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,6,3,1,7,2,4]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,3,1,7,4,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,3,2,1,4,7]=>[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,3,2,1,7,4]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,6,3,2,4,1,7]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,6,3,2,4,7,1]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,6,3,2,7,1,4]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,3,2,7,4,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,3,4,1,2,7]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,3,4,1,7,2]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,3,4,2,1,7]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[5,6,3,4,2,7,1]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,3,4,7,1,2]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,3,4,7,2,1]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,3,7,1,2,4]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,3,7,1,4,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,3,7,2,1,4]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,6,3,7,2,4,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,3,7,4,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,3,7,4,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,6,4,1,2,3,7]=>[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[5,6,4,1,2,7,3]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,6,4,1,3,2,7]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,6,4,1,3,7,2]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,6,4,1,7,2,3]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,4,1,7,3,2]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,4,2,1,3,7]=>[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,4,2,1,7,3]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,6,4,2,3,1,7]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,6,4,2,3,7,1]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,6,4,2,7,1,3]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,4,2,7,3,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,4,3,1,2,7]=>[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,6,4,3,1,7,2]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,6,4,3,2,1,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,6,4,3,2,7,1]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,6,4,3,7,1,2]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,4,7,1,2,3]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,4,7,1,3,2]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,4,7,2,1,3]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,6,4,7,2,3,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,4,7,3,1,2]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,6,7,1,2,3,4]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,6,7,1,2,4,3]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,7,1,3,2,4]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,6,7,1,3,4,2]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,7,1,4,2,3]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,1,4,3,2]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,6,7,2,1,3,4]=>[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,6,7,2,1,4,3]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,7,2,3,1,4]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,6,7,2,3,4,1]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,7,2,4,1,3]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,2,4,3,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,6,7,3,1,2,4]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,6,7,3,1,4,2]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,7,3,2,1,4]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[5,6,7,3,2,4,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,7,3,4,1,2]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,3,4,2,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,6,7,4,1,2,3]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,7,4,1,3,2]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,4,2,1,3]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,6,7,4,2,3,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,4,3,1,2]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[5,7,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,2,3,6,4]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,7,1,2,4,3,6]=>[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,7,1,2,4,6,3]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,7,1,2,6,3,4]=>[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,1,2,6,4,3]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,1,3,2,4,6]=>[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,7,1,3,2,6,4]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,1,3,4,2,6]=>[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,7,1,3,4,6,2]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,7,1,3,6,2,4]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,1,3,6,4,2]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,1,4,2,3,6]=>[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,7,1,4,2,6,3]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,7,1,4,3,6,2]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,1,4,6,2,3]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,1,4,6,3,2]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,1,6,2,3,4]=>[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,7,1,6,2,4,3]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,1,6,3,2,4]=>[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,1,6,3,4,2]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,1,6,4,2,3]=>[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,6,4,3,2]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[5,7,2,1,3,6,4]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,7,2,1,4,3,6]=>[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,2,1,4,6,3]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,7,2,1,6,3,4]=>[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,1,6,4,3]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,2,3,1,4,6]=>[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,7,2,3,1,6,4]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,2,3,4,1,6]=>[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,7,2,3,4,6,1]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,7,2,3,6,1,4]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,2,3,6,4,1]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,2,4,1,3,6]=>[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,7,2,4,1,6,3]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,2,4,3,1,6]=>[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,7,2,4,3,6,1]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,2,4,6,1,3]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,2,4,6,3,1]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,2,6,1,3,4]=>[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,7,2,6,1,4,3]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,2,6,3,1,4]=>[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,2,6,3,4,1]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,2,6,4,1,3]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,2,6,4,3,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,3,1,2,4,6]=>[5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[5,7,3,1,2,6,4]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,7,3,1,4,2,6]=>[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,3,1,4,6,2]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,7,3,1,6,2,4]=>[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,3,1,6,4,2]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,3,2,1,4,6]=>[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[5,7,3,2,1,6,4]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,3,2,4,1,6]=>[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,3,2,4,6,1]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,7,3,2,6,1,4]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,3,2,6,4,1]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,3,4,1,2,6]=>[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,7,3,4,1,6,2]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,3,4,2,1,6]=>[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,7,3,4,2,6,1]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,3,4,6,1,2]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,3,4,6,2,1]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,3,6,1,2,4]=>[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,7,3,6,1,4,2]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,2,1,4]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,3,6,2,4,1]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,4,1,2]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,3,6,4,2,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,4,1,2,3,6]=>[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[5,7,4,1,2,6,3]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,7,4,1,3,2,6]=>[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,7,4,1,3,6,2]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,7,4,1,6,2,3]=>[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,4,1,6,3,2]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,4,2,1,3,6]=>[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,7,4,2,1,6,3]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,4,2,3,1,6]=>[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,7,4,2,3,6,1]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,7,4,2,6,1,3]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,4,2,6,3,1]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,4,3,1,2,6]=>[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,7,4,3,1,6,2]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[5,7,4,3,2,6,1]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,4,3,6,1,2]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,4,3,6,2,1]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,4,6,1,2,3]=>[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,7,4,6,1,3,2]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,4,6,2,1,3]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,4,6,2,3,1]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,4,6,3,1,2]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,4,6,3,2,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,6,1,2,3,4]=>[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,7,6,1,2,4,3]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,7,6,1,3,2,4]=>[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,7,6,1,3,4,2]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,7,6,1,4,2,3]=>[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,6,1,4,3,2]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,6,2,1,3,4]=>[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,7,6,2,1,4,3]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,6,2,3,1,4]=>[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,7,6,2,3,4,1]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,7,6,2,4,1,3]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,6,2,4,3,1]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,6,3,1,2,4]=>[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,7,6,3,1,4,2]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,6,3,2,1,4]=>[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,7,6,3,2,4,1]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,6,3,4,1,2]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,6,3,4,2,1]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,6,4,1,2,3]=>[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,7,6,4,1,3,2]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,4,2,1,3]=>[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,7,6,4,2,3,1]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,4,3,1,2]=>[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,6,4,3,2,1]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[6,1,2,3,4,7,5]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,3,5,4,7]=>[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,2,3,5,7,4]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,3,7,4,5]=>[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,2,3,7,5,4]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,2,4,3,5,7]=>[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[6,1,2,4,3,7,5]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,2,4,5,3,7]=>[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,2,4,5,7,3]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,2,4,7,3,5]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,2,4,7,5,3]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,2,5,3,4,7]=>[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,1,2,5,3,7,4]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,2,5,4,3,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,5,4,7,3]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,2,5,7,3,4]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,2,5,7,4,3]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,2,7,3,4,5]=>[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,1,2,7,3,5,4]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,2,7,4,3,5]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,2,7,4,5,3]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,2,7,5,3,4]=>[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,1,2,7,5,4,3]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,1,3,2,4,5,7]=>[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[6,1,3,2,4,7,5]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,1,3,2,5,4,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,5,7,4]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,1,3,2,7,4,5]=>[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,3,2,7,5,4]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,3,4,2,5,7]=>[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[6,1,3,4,2,7,5]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,3,4,5,2,7]=>[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,3,4,5,7,2]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,7,2,5]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,3,4,7,5,2]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,3,5,2,4,7]=>[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,1,3,5,2,7,4]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,3,5,4,2,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,3,5,4,7,2]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,3,5,7,2,4]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,3,5,7,4,2]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,3,7,2,4,5]=>[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,1,3,7,2,5,4]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,3,7,4,2,5]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,3,7,4,5,2]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,3,7,5,2,4]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,1,3,7,5,4,2]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,1,4,2,3,5,7]=>[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[6,1,4,2,3,7,5]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,1,4,2,5,3,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,4,2,5,7,3]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,1,4,2,7,3,5]=>[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,4,2,7,5,3]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,4,3,2,5,7]=>[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[6,1,4,3,2,7,5]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,1,4,3,5,2,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,4,3,5,7,2]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,1,4,3,7,2,5]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,4,3,7,5,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,4,5,2,3,7]=>[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,1,4,5,2,7,3]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,4,5,3,2,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,4,5,3,7,2]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,4,5,7,2,3]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,4,5,7,3,2]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,4,7,2,3,5]=>[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,1,4,7,2,5,3]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,4,7,3,2,5]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,4,7,3,5,2]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,4,7,5,2,3]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,1,4,7,5,3,2]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,1,5,2,3,4,7]=>[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[6,1,5,2,3,7,4]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,1,5,2,4,3,7]=>[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,1,5,2,4,7,3]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,1,5,2,7,3,4]=>[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,5,2,7,4,3]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,5,3,2,4,7]=>[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,1,5,3,2,7,4]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,1,5,3,4,2,7]=>[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,1,5,3,4,7,2]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,1,5,3,7,2,4]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,5,3,7,4,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,5,4,2,3,7]=>[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,1,5,4,2,7,3]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,1,5,4,3,2,7]=>[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,4,3,7,2]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,1,5,4,7,2,3]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,5,4,7,3,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,5,7,2,3,4]=>[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,1,5,7,2,4,3]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,5,7,3,2,4]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,5,7,3,4,2]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,5,7,4,2,3]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,1,5,7,4,3,2]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,1,7,2,3,4,5]=>[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,1,7,2,3,5,4]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,1,7,2,4,3,5]=>[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,7,2,4,5,3]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,1,7,2,5,3,4]=>[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,1,7,2,5,4,3]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,1,7,3,2,4,5]=>[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,1,7,3,2,5,4]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,1,7,3,4,2,5]=>[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,7,3,4,5,2]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,1,7,3,5,2,4]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,1,7,3,5,4,2]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,1,7,4,2,3,5]=>[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,1,7,4,2,5,3]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,1,7,4,3,2,5]=>[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,1,7,4,3,5,2]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,1,7,4,5,2,3]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,1,7,4,5,3,2]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,1,7,5,2,3,4]=>[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[6,1,7,5,2,4,3]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,1,7,5,3,2,4]=>[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,1,7,5,3,4,2]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,1,7,5,4,2,3]=>[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,1,7,5,4,3,2]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,2,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[6,2,1,3,4,7,5]=>[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,2,1,3,5,4,7]=>[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,3,5,7,4]=>[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,2,1,3,7,4,5]=>[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,2,1,3,7,5,4]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,2,1,4,3,5,7]=>[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[6,2,1,4,3,7,5]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,2,1,4,5,3,7]=>[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,4,5,7,3]=>[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,2,1,4,7,3,5]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,2,1,4,7,5,3]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,2,1,5,3,4,7]=>[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,2,1,5,3,7,4]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,2,1,5,4,3,7]=>[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,5,4,7,3]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,2,1,5,7,3,4]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,2,1,5,7,4,3]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,2,1,7,3,4,5]=>[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,2,1,7,3,5,4]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,1,7,4,3,5]=>[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,1,7,4,5,3]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,1,7,5,3,4]=>[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,2,1,7,5,4,3]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,2,3,1,4,5,7]=>[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[6,2,3,1,4,7,5]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,2,3,1,5,4,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,2,3,1,5,7,4]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,2,3,1,7,4,5]=>[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,3,1,7,5,4]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,3,4,1,5,7]=>[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[6,2,3,4,1,7,5]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,2,3,4,5,1,7]=>[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,2,3,4,5,7,1]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,2,3,4,7,1,5]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,3,4,7,5,1]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,2,3,5,1,4,7]=>[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,2,3,5,1,7,4]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,2,3,5,4,1,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,2,3,5,4,7,1]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,2,3,5,7,1,4]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,3,5,7,4,1]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,2,3,7,1,4,5]=>[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,3,7,1,5,4]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,3,7,4,1,5]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,3,7,4,5,1]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,3,7,5,1,4]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,3,7,5,4,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,2,4,1,3,5,7]=>[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[6,2,4,1,3,7,5]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,2,4,1,5,3,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,2,4,1,5,7,3]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,2,4,1,7,3,5]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,1,7,5,3]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,4,3,1,5,7]=>[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[6,2,4,3,1,7,5]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,2,4,3,5,1,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,2,4,3,5,7,1]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,2,4,3,7,1,5]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,3,7,5,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,4,5,1,3,7]=>[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,2,4,5,1,7,3]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,2,4,5,3,1,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,2,4,5,3,7,1]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,2,4,5,7,1,3]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,4,5,7,3,1]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,2,4,7,1,3,5]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,4,7,1,5,3]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,4,7,3,1,5]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,4,7,3,5,1]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,4,7,5,1,3]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,4,7,5,3,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,2,5,1,3,4,7]=>[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[6,2,5,1,3,7,4]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,2,5,1,4,3,7]=>[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,1,4,7,3]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,2,5,1,7,3,4]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,5,1,7,4,3]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,5,3,1,4,7]=>[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,2,5,3,1,7,4]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,2,5,3,4,1,7]=>[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,3,4,7,1]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,2,5,3,7,1,4]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,5,3,7,4,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,5,4,1,3,7]=>[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,2,5,4,1,7,3]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,2,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,2,5,4,3,7,1]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,2,5,4,7,1,3]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,5,4,7,3,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,5,7,1,3,4]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,5,7,1,4,3]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,5,7,3,1,4]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,5,7,3,4,1]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,5,7,4,1,3]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,5,7,4,3,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,2,7,1,3,4,5]=>[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,2,7,1,3,5,4]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,7,1,4,3,5]=>[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,7,1,4,5,3]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,7,1,5,3,4]=>[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,1,5,4,3]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,2,7,3,1,4,5]=>[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,2,7,3,1,5,4]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,7,3,4,1,5]=>[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,7,3,4,5,1]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,7,3,5,1,4]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,3,5,4,1]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,2,7,4,1,3,5]=>[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,2,7,4,1,5,3]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,7,4,3,1,5]=>[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,7,4,3,5,1]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,7,4,5,1,3]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,4,5,3,1]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,2,7,5,1,3,4]=>[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[6,2,7,5,1,4,3]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,2,7,5,3,1,4]=>[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,2,7,5,3,4,1]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,2,7,5,4,1,3]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,2,7,5,4,3,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,3,1,2,4,5,7]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[6,3,1,2,4,7,5]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,3,1,2,5,4,7]=>[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[6,3,1,2,5,7,4]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,3,1,2,7,4,5]=>[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,3,1,2,7,5,4]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,3,1,4,2,5,7]=>[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[6,3,1,4,2,7,5]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,1,4,5,2,7]=>[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,3,1,4,5,7,2]=>[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,3,1,4,7,2,5]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,1,4,7,5,2]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,3,1,5,2,4,7]=>[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,1,5,2,7,4]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,1,5,4,2,7]=>[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,3,1,5,4,7,2]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,1,5,7,2,4]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,1,5,7,4,2]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,3,1,7,2,4,5]=>[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,3,1,7,2,5,4]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,3,1,7,4,2,5]=>[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,1,7,4,5,2]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,3,1,7,5,2,4]=>[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,1,7,5,4,2]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,2,1,4,5,7]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[6,3,2,1,4,7,5]=>[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,3,2,1,5,4,7]=>[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,5,7,4]=>[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,3,2,1,7,4,5]=>[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,3,2,1,7,5,4]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,3,2,4,1,5,7]=>[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[6,3,2,4,1,7,5]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,2,4,5,1,7]=>[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,3,2,4,5,7,1]=>[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,3,2,4,7,1,5]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,2,4,7,5,1]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,3,2,5,1,4,7]=>[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,2,5,1,7,4]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,2,5,4,1,7]=>[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,3,2,5,4,7,1]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,2,5,7,1,4]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,2,5,7,4,1]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,3,2,7,1,4,5]=>[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,3,2,7,1,5,4]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,3,2,7,4,1,5]=>[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,2,7,4,5,1]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,3,2,7,5,1,4]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,2,7,5,4,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,4,1,2,5,7]=>[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[6,3,4,1,2,7,5]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,3,4,1,5,2,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,3,4,1,5,7,2]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,3,4,1,7,2,5]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,4,1,7,5,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,3,4,2,1,5,7]=>[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[6,3,4,2,1,7,5]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,3,4,2,5,1,7]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,3,4,2,5,7,1]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,3,4,2,7,1,5]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,4,2,7,5,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,3,4,5,1,2,7]=>[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,3,4,5,1,7,2]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,3,4,5,2,1,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,3,4,5,2,7,1]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,3,4,5,7,1,2]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,3,4,5,7,2,1]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,3,4,7,1,2,5]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,3,4,7,1,5,2]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,3,4,7,2,1,5]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,3,4,7,2,5,1]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,3,4,7,5,1,2]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,3,4,7,5,2,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,3,5,1,2,4,7]=>[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[6,3,5,1,2,7,4]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,3,5,1,4,2,7]=>[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,3,5,1,4,7,2]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,3,5,1,7,2,4]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,5,1,7,4,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,3,5,2,1,4,7]=>[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,3,5,2,1,7,4]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,3,5,2,4,1,7]=>[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,3,5,2,4,7,1]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,3,5,2,7,1,4]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,5,2,7,4,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,3,5,4,1,2,7]=>[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,3,5,4,1,7,2]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,3,5,4,2,1,7]=>[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,3,5,4,2,7,1]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,3,5,4,7,1,2]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,5,4,7,2,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,3,5,7,1,2,4]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,3,5,7,1,4,2]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,3,5,7,2,1,4]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,3,5,7,2,4,1]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,3,5,7,4,1,2]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,3,5,7,4,2,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,3,7,1,2,4,5]=>[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,3,7,1,2,5,4]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,7,1,4,2,5]=>[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,7,1,4,5,2]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,7,1,5,2,4]=>[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,3,7,1,5,4,2]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,2,1,4,5]=>[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,3,7,2,1,5,4]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,7,2,4,1,5]=>[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,7,2,4,5,1]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,7,2,5,1,4]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,3,7,2,5,4,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,4,1,2,5]=>[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,3,7,4,1,5,2]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,7,4,2,1,5]=>[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,3,7,4,2,5,1]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,7,4,5,1,2]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,3,7,4,5,2,1]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,5,1,2,4]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[6,3,7,5,1,4,2]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,7,5,2,1,4]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,3,7,5,2,4,1]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,7,5,4,1,2]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,3,7,5,4,2,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,1,2,3,5,7]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[6,4,1,2,3,7,5]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[6,4,1,2,5,3,7]=>[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[6,4,1,2,5,7,3]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,4,1,2,7,3,5]=>[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,4,1,2,7,5,3]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,4,1,3,2,5,7]=>[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,4,1,3,2,7,5]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,4,1,3,5,2,7]=>[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[6,4,1,3,5,7,2]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,4,1,3,7,2,5]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,4,1,3,7,5,2]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,4,1,5,2,3,7]=>[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,1,5,2,7,3]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,4,1,5,3,2,7]=>[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,4,1,5,3,7,2]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,4,1,5,7,2,3]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,4,1,5,7,3,2]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,4,1,7,2,3,5]=>[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,4,1,7,2,5,3]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,1,7,3,2,5]=>[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,4,1,7,3,5,2]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,1,7,5,2,3]=>[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,4,1,7,5,3,2]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[6,4,2,1,3,7,5]=>[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[6,4,2,1,5,3,7]=>[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,4,2,1,5,7,3]=>[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,4,2,1,7,3,5]=>[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,2,1,7,5,3]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,4,2,3,1,5,7]=>[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,4,2,3,1,7,5]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,4,2,3,5,1,7]=>[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[6,4,2,3,5,7,1]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,4,2,3,7,1,5]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,4,2,3,7,5,1]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,4,2,5,1,3,7]=>[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,2,5,1,7,3]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,4,2,5,3,1,7]=>[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,4,2,5,3,7,1]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,4,2,5,7,1,3]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,4,2,5,7,3,1]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,4,2,7,1,3,5]=>[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,4,2,7,1,5,3]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,2,7,3,1,5]=>[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,4,2,7,3,5,1]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,2,7,5,1,3]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,4,2,7,5,3,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,3,1,2,5,7]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[6,4,3,1,2,7,5]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,4,3,1,5,2,7]=>[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,4,3,1,5,7,2]=>[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,4,3,1,7,2,5]=>[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,3,1,7,5,2]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,3,2,1,7,5]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,4,3,2,5,1,7]=>[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,4,3,2,5,7,1]=>[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,4,3,2,7,1,5]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,3,2,7,5,1]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,4,3,5,1,2,7]=>[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,3,5,1,7,2]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,4,3,5,2,1,7]=>[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,4,3,5,2,7,1]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,4,3,5,7,1,2]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,4,3,5,7,2,1]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,4,3,7,1,2,5]=>[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,4,3,7,1,5,2]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,3,7,2,1,5]=>[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,4,3,7,2,5,1]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,3,7,5,1,2]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,4,3,7,5,2,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,5,1,2,3,7]=>[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[6,4,5,1,2,7,3]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,4,5,1,3,2,7]=>[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,4,5,1,3,7,2]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,4,5,1,7,2,3]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,5,1,7,3,2]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,4,5,2,1,3,7]=>[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,4,5,2,1,7,3]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,4,5,2,3,1,7]=>[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,4,5,2,3,7,1]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,4,5,2,7,1,3]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,5,2,7,3,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,4,5,3,1,2,7]=>[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,4,5,3,1,7,2]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,4,5,3,2,1,7]=>[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,4,5,3,2,7,1]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,4,5,3,7,1,2]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,5,3,7,2,1]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,4,5,7,1,2,3]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,5,7,1,3,2]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,4,5,7,2,1,3]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,4,5,7,2,3,1]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,4,5,7,3,1,2]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,4,5,7,3,2,1]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,4,7,1,2,3,5]=>[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,4,7,1,2,5,3]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,4,7,1,3,2,5]=>[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,7,1,3,5,2]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,4,7,1,5,2,3]=>[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,1,5,3,2]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,7,2,1,3,5]=>[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,4,7,2,1,5,3]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,4,7,2,3,1,5]=>[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,7,2,3,5,1]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,4,7,2,5,1,3]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,2,5,3,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,7,3,1,2,5]=>[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,4,7,3,1,5,2]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,4,7,3,2,1,5]=>[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,4,7,3,2,5,1]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,4,7,3,5,1,2]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,3,5,2,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,7,5,1,2,3]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[6,4,7,5,1,3,2]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,4,7,5,2,1,3]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,4,7,5,2,3,1]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,4,7,5,3,1,2]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,4,7,5,3,2,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[6,5,1,2,3,7,4]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[6,5,1,2,4,3,7]=>[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[6,5,1,2,4,7,3]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[6,5,1,2,7,3,4]=>[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,1,2,7,4,3]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,5,1,3,2,4,7]=>[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[6,5,1,3,2,7,4]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,1,3,4,2,7]=>[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[6,5,1,3,4,7,2]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[6,5,1,3,7,2,4]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,1,3,7,4,2]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,5,1,4,2,3,7]=>[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,5,1,4,2,7,3]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,3,7,2]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,1,4,7,2,3]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,1,4,7,3,2]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,5,1,7,2,3,4]=>[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,1,7,2,4,3]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,1,7,3,2,4]=>[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,1,7,3,4,2]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,1,7,4,2,3]=>[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,5,1,7,4,3,2]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,5,2,1,3,4,7]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[6,5,2,1,3,7,4]=>[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[6,5,2,1,4,3,7]=>[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[6,5,2,1,4,7,3]=>[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[6,5,2,1,7,3,4]=>[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,2,1,7,4,3]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,2,3,1,4,7]=>[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[6,5,2,3,1,7,4]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,2,3,4,1,7]=>[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[6,5,2,3,4,7,1]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[6,5,2,3,7,1,4]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,2,3,7,4,1]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,5,2,4,1,3,7]=>[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,5,2,4,1,7,3]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,2,4,3,1,7]=>[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,2,4,3,7,1]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,2,4,7,1,3]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,2,4,7,3,1]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,5,2,7,1,3,4]=>[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,2,7,1,4,3]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,2,7,3,1,4]=>[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,2,7,3,4,1]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,2,7,4,1,3]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,5,2,7,4,3,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,5,3,1,2,4,7]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[6,5,3,1,2,7,4]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,5,3,1,4,2,7]=>[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[6,5,3,1,4,7,2]=>[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[6,5,3,1,7,2,4]=>[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,3,1,7,4,2]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,3,2,1,4,7]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,3,2,1,7,4]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,3,2,4,1,7]=>[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[6,5,3,2,4,7,1]=>[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[6,5,3,2,7,1,4]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,3,2,7,4,1]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,3,4,1,2,7]=>[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,5,3,4,1,7,2]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,3,4,2,1,7]=>[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,3,4,2,7,1]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,3,4,7,1,2]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,3,4,7,2,1]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,5,3,7,1,2,4]=>[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,3,7,1,4,2]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,3,7,2,1,4]=>[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,3,7,2,4,1]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,3,7,4,1,2]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,5,3,7,4,2,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,5,4,1,2,3,7]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[6,5,4,1,2,7,3]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,5,4,1,3,2,7]=>[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[6,5,4,1,3,7,2]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,5,4,1,7,2,3]=>[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,4,1,7,3,2]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,4,2,1,3,7]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,4,2,1,7,3]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,4,2,3,1,7]=>[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[6,5,4,2,3,7,1]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,5,4,2,7,1,3]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,4,2,7,3,1]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,4,3,1,2,7]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,4,3,1,7,2]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,4,3,7,1,2]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,4,3,7,2,1]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,4,7,1,2,3]=>[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,4,7,1,3,2]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,4,7,2,1,3]=>[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,4,7,2,3,1]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,4,7,3,1,2]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,5,4,7,3,2,1]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,5,7,1,2,3,4]=>[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,7,1,2,4,3]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,5,7,1,3,2,4]=>[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,5,7,1,3,4,2]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,5,7,1,4,2,3]=>[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,5,7,1,4,3,2]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,7,2,1,3,4]=>[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,5,7,2,1,4,3]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,5,7,2,3,1,4]=>[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,5,7,2,3,4,1]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,5,7,2,4,1,3]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,5,7,2,4,3,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,7,3,1,2,4]=>[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,5,7,3,1,4,2]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,5,7,3,2,1,4]=>[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,5,7,3,2,4,1]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,5,7,3,4,1,2]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,5,7,3,4,2,1]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,7,4,1,2,3]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[6,5,7,4,1,3,2]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,5,7,4,2,1,3]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,5,7,4,2,3,1]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,5,7,4,3,1,2]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,7,1,2,3,4,5]=>[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,2,3,5,4]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,7,1,2,4,3,5]=>[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,7,1,2,4,5,3]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,7,1,2,5,3,4]=>[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,1,2,5,4,3]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,1,3,2,4,5]=>[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,7,1,3,2,5,4]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,1,3,4,2,5]=>[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,7,1,3,4,5,2]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,7,1,3,5,2,4]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,1,3,5,4,2]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,1,4,2,3,5]=>[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,7,1,4,2,5,3]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,1,4,3,2,5]=>[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,7,1,4,3,5,2]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,1,4,5,2,3]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,1,4,5,3,2]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,1,5,2,3,4]=>[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,7,1,5,2,4,3]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,1,5,3,2,4]=>[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,7,1,5,3,4,2]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,1,5,4,2,3]=>[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,1,5,4,3,2]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,2,1,3,4,5]=>[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[6,7,2,1,3,5,4]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,7,2,1,4,3,5]=>[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,7,2,1,4,5,3]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,7,2,1,5,3,4]=>[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,2,1,5,4,3]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,2,3,1,4,5]=>[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,7,2,3,1,5,4]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,2,3,4,1,5]=>[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,7,2,3,4,5,1]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,7,2,3,5,1,4]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,2,3,5,4,1]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,2,4,1,3,5]=>[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,7,2,4,1,5,3]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,2,4,3,1,5]=>[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,7,2,4,3,5,1]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,2,4,5,1,3]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,2,4,5,3,1]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,2,5,1,3,4]=>[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,7,2,5,1,4,3]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,2,5,3,1,4]=>[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,7,2,5,3,4,1]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,2,5,4,1,3]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,2,5,4,3,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,3,1,2,4,5]=>[5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[6,7,3,1,2,5,4]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,7,3,1,4,2,5]=>[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,7,3,1,4,5,2]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,7,3,1,5,2,4]=>[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,3,1,5,4,2]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,3,2,1,4,5]=>[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[6,7,3,2,1,5,4]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,3,2,4,1,5]=>[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,7,3,2,4,5,1]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,7,3,2,5,1,4]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,3,2,5,4,1]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,3,4,1,2,5]=>[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,7,3,4,1,5,2]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,3,4,2,1,5]=>[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,7,3,4,2,5,1]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,3,4,5,1,2]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,3,4,5,2,1]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,3,5,1,2,4]=>[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,7,3,5,1,4,2]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,3,5,2,1,4]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,7,3,5,2,4,1]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,3,5,4,1,2]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,5,4,2,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,4,1,2,3,5]=>[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[6,7,4,1,2,5,3]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,7,4,1,3,2,5]=>[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,7,4,1,3,5,2]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,7,4,1,5,2,3]=>[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,4,1,5,3,2]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,4,2,1,3,5]=>[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[6,7,4,2,1,5,3]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,4,2,3,1,5]=>[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,7,4,2,3,5,1]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,7,4,2,5,1,3]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,4,2,5,3,1]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,4,3,1,2,5]=>[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,7,4,3,1,5,2]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,4,3,2,1,5]=>[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,7,4,3,2,5,1]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,4,3,5,1,2]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,4,3,5,2,1]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,4,5,1,2,3]=>[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[6,7,4,5,1,3,2]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,4,5,2,1,3]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,7,4,5,2,3,1]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,4,5,3,1,2]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,4,5,3,2,1]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,5,1,2,3,4]=>[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[6,7,5,1,2,4,3]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,7,5,1,3,2,4]=>[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,7,5,1,3,4,2]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,7,5,1,4,2,3]=>[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,5,1,4,3,2]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,5,2,1,3,4]=>[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[6,7,5,2,1,4,3]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,7,5,2,3,1,4]=>[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,7,5,2,3,4,1]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,7,5,2,4,1,3]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,5,2,4,3,1]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,5,3,1,2,4]=>[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[6,7,5,3,1,4,2]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,7,5,3,2,1,4]=>[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[6,7,5,3,2,4,1]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,7,5,3,4,1,2]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,5,3,4,2,1]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,5,4,1,2,3]=>[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[6,7,5,4,1,3,2]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,7,5,4,2,1,3]=>[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[6,7,5,4,2,3,1]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,7,5,4,3,1,2]=>[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,2,3,5,4,6]=>[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[7,1,2,3,5,6,4]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,2,3,6,4,5]=>[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,1,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,4,3,5,6]=>[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[7,1,2,4,3,6,5]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,4,5,3,6]=>[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[7,1,2,4,5,6,3]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,2,4,6,3,5]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,1,2,4,6,5,3]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,5,3,4,6]=>[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[7,1,2,5,3,6,4]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,5,4,3,6]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,1,2,5,4,6,3]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,5,6,3,4]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,1,2,5,6,4,3]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,6,3,4,5]=>[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,1,2,6,3,5,4]=>[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,2,6,4,3,5]=>[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,1,2,6,4,5,3]=>[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,2,6,5,3,4]=>[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,1,2,6,5,4,3]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,3,2,4,5,6]=>[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[7,1,3,2,4,6,5]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,5,4,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,1,3,2,5,6,4]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,6,4,5]=>[7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,1,3,2,6,5,4]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,4,2,5,6]=>[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[7,1,3,4,2,6,5]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,3,4,5,2,6]=>[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[7,1,3,4,5,6,2]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,3,4,6,2,5]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,1,3,4,6,5,2]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,3,5,2,4,6]=>[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[7,1,3,5,2,6,4]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,3,5,4,2,6]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,1,3,5,4,6,2]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,3,5,6,2,4]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,1,3,5,6,4,2]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,3,6,2,4,5]=>[7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,1,3,6,2,5,4]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,4,2,5]=>[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,1,3,6,4,5,2]=>[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,5,2,4]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,1,3,6,5,4,2]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,4,2,3,5,6]=>[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[7,1,4,2,3,6,5]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,4,2,5,3,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,1,4,2,5,6,3]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,1,4,2,6,5,3]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,4,3,2,5,6]=>[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[7,1,4,3,2,6,5]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,3,5,2,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,1,4,3,5,6,2]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,4,3,6,2,5]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,1,4,3,6,5,2]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,4,5,2,3,6]=>[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[7,1,4,5,2,6,3]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,4,5,3,2,6]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,1,4,5,3,6,2]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,4,5,6,2,3]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,1,4,5,6,3,2]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,4,6,2,3,5]=>[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,1,4,6,2,5,3]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,4,6,3,2,5]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,1,4,6,3,5,2]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,4,6,5,2,3]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,1,4,6,5,3,2]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,5,2,3,4,6]=>[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[7,1,5,2,3,6,4]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,5,2,4,3,6]=>[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,1,5,2,4,6,3]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,5,2,6,3,4]=>[7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,1,5,2,6,4,3]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,3,2,4,6]=>[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[7,1,5,3,2,6,4]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,5,3,4,2,6]=>[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,1,5,3,4,6,2]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,1,5,3,6,2,4]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,1,5,3,6,4,2]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,4,2,3,6]=>[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[7,1,5,4,2,6,3]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,5,4,3,2,6]=>[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[7,1,5,4,3,6,2]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,5,4,6,2,3]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,1,5,4,6,3,2]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,5,6,2,3,4]=>[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,1,5,6,2,4,3]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,5,6,3,2,4]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,1,5,6,3,4,2]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,5,6,4,2,3]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,1,5,6,4,3,2]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[7,1,6,2,3,5,4]=>[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,1,6,2,4,3,5]=>[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,1,6,2,4,5,3]=>[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,1,6,2,5,3,4]=>[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,1,6,2,5,4,3]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,3,2,4,5]=>[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,1,6,3,2,5,4]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,6,3,4,2,5]=>[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,1,6,3,4,5,2]=>[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,1,6,3,5,2,4]=>[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,1,6,3,5,4,2]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,4,2,3,5]=>[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[7,1,6,4,2,5,3]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,6,4,3,2,5]=>[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,1,6,4,3,5,2]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,6,4,5,2,3]=>[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,1,6,4,5,3,2]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,5,2,3,4]=>[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,1,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,1,6,5,3,4,2]=>[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,1,6,5,4,2,3]=>[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[7,2,1,3,4,6,5]=>[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,3,5,4,6]=>[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[7,2,1,3,5,6,4]=>[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,3,6,4,5]=>[7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,2,1,3,6,5,4]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,4,3,5,6]=>[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[7,2,1,4,3,6,5]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,4,5,3,6]=>[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[7,2,1,4,5,6,3]=>[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,4,6,3,5]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,2,1,4,6,5,3]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,5,3,4,6]=>[7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,2,1,5,3,6,4]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,5,4,3,6]=>[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,2,1,5,4,6,3]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,5,6,3,4]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,2,1,5,6,4,3]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,6,3,4,5]=>[7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,2,1,6,3,5,4]=>[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,1,6,4,3,5]=>[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,2,1,6,4,5,3]=>[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,1,6,5,3,4]=>[7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,2,1,6,5,4,3]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,3,1,4,5,6]=>[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[7,2,3,1,4,6,5]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,3,1,5,4,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,2,3,1,5,6,4]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,3,1,6,4,5]=>[7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,3,1,6,5,4]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,3,4,1,5,6]=>[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[7,2,3,4,1,6,5]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,3,4,5,1,6]=>[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[7,2,3,4,5,6,1]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,2,3,4,6,1,5]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,2,3,4,6,5,1]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,3,5,1,4,6]=>[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[7,2,3,5,1,6,4]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,3,5,4,1,6]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,2,3,5,4,6,1]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,3,5,6,1,4]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,2,3,5,6,4,1]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,3,6,1,4,5]=>[7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,2,3,6,1,5,4]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,3,6,4,1,5]=>[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,2,3,6,4,5,1]=>[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,3,6,5,1,4]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,2,3,6,5,4,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[7,2,4,1,3,6,5]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,5,3,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,2,4,1,5,6,3]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,4,1,6,3,5]=>[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,4,1,6,5,3]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,4,3,1,5,6]=>[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[7,2,4,3,1,6,5]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,3,5,1,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,2,4,3,5,6,1]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,4,3,6,1,5]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,4,3,6,5,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,4,5,1,3,6]=>[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[7,2,4,5,1,6,3]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,4,5,3,1,6]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,2,4,5,3,6,1]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,4,5,6,1,3]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,2,4,5,6,3,1]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,4,6,1,3,5]=>[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,2,4,6,1,5,3]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,4,6,3,1,5]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,2,4,6,3,5,1]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,4,6,5,1,3]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,2,4,6,5,3,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,5,1,3,4,6]=>[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[7,2,5,1,3,6,4]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,5,1,4,3,6]=>[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,2,5,1,4,6,3]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,5,1,6,3,4]=>[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,5,1,6,4,3]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,5,3,1,4,6]=>[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[7,2,5,3,1,6,4]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,3,4,1,6]=>[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,2,5,3,4,6,1]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,5,3,6,1,4]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,5,3,6,4,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,5,4,1,3,6]=>[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[7,2,5,4,1,6,3]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,4,3,1,6]=>[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[7,2,5,4,3,6,1]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,4,6,1,3]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,5,4,6,3,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,5,6,1,3,4]=>[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,2,5,6,1,4,3]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,5,6,3,1,4]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,2,5,6,3,4,1]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,5,6,4,1,3]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,2,5,6,4,3,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[7,2,6,1,3,5,4]=>[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,2,6,1,4,3,5]=>[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,2,6,1,4,5,3]=>[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,2,6,1,5,3,4]=>[7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,3,1,4,5]=>[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,2,6,3,1,5,4]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,6,3,4,1,5]=>[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,2,6,3,4,5,1]=>[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,2,6,3,5,1,4]=>[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,2,6,3,5,4,1]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,4,1,3,5]=>[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[7,2,6,4,1,5,3]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,6,4,3,1,5]=>[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,2,6,4,3,5,1]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,6,4,5,1,3]=>[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,2,6,4,5,3,1]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,5,1,3,4]=>[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,5,3,1,4]=>[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,2,6,5,3,4,1]=>[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,5,4,1,3]=>[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,2,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,1,2,4,5,6]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[.,[[[[.,[[.,.],.]],.],.],.]]
[7,3,1,2,4,6,5]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,3,1,2,5,4,6]=>[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[7,3,1,2,5,6,4]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,3,1,2,6,4,5]=>[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,3,1,2,6,5,4]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,1,4,2,5,6]=>[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[7,3,1,4,2,6,5]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,1,4,5,2,6]=>[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[7,3,1,4,5,6,2]=>[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,3,1,4,6,2,5]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,3,1,4,6,5,2]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,1,5,2,4,6]=>[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,3,1,5,2,6,4]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,1,5,4,2,6]=>[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,3,1,5,4,6,2]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,1,5,6,2,4]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,3,1,5,6,4,2]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,1,6,2,4,5]=>[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,3,1,6,2,5,4]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,4,2,5]=>[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,3,1,6,4,5,2]=>[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,5,2,4]=>[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,3,1,6,5,4,2]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[.,[[[[.,[.,[.,.]]],.],.],.]]
[7,3,2,1,4,6,5]=>[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,5,4,6]=>[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[7,3,2,1,5,6,4]=>[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,6,4,5]=>[7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,4,1,5,6]=>[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[7,3,2,4,1,6,5]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,4,5,1,6]=>[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[7,3,2,4,5,6,1]=>[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,3,2,4,6,1,5]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,3,2,4,6,5,1]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,5,1,4,6]=>[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,3,2,5,1,6,4]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,5,4,1,6]=>[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,3,2,5,4,6,1]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,5,6,1,4]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,3,2,5,6,4,1]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,6,1,4,5]=>[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,4,1,5]=>[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,3,2,6,4,5,1]=>[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,5,1,4]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,3,2,6,5,4,1]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,4,1,2,5,6]=>[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[7,3,4,1,2,6,5]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,3,4,1,5,2,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,3,4,1,5,6,2]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,4,1,6,2,5]=>[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,3,4,1,6,5,2]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,4,2,1,5,6]=>[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[7,3,4,2,1,6,5]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,4,2,5,1,6]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,3,4,2,5,6,1]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,3,4,2,6,1,5]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,3,4,2,6,5,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,4,5,1,2,6]=>[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[7,3,4,5,1,6,2]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,3,4,5,2,1,6]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,3,4,5,2,6,1]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,3,4,5,6,1,2]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[7,3,4,5,6,2,1]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,3,4,6,1,2,5]=>[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,3,4,6,1,5,2]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,4,6,2,1,5]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,3,4,6,2,5,1]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,4,6,5,1,2]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,3,4,6,5,2,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,3,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[7,3,5,1,2,6,4]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,3,5,1,4,2,6]=>[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,3,5,1,4,6,2]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,3,5,1,6,2,4]=>[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,3,5,1,6,4,2]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,5,2,1,4,6]=>[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[7,3,5,2,1,6,4]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,5,2,4,1,6]=>[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,3,5,2,4,6,1]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,3,5,2,6,1,4]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,3,5,2,6,4,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,5,4,1,2,6]=>[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[7,3,5,4,1,6,2]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,5,4,2,1,6]=>[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[7,3,5,4,2,6,1]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,5,4,6,1,2]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,3,5,4,6,2,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,5,6,1,2,4]=>[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,3,5,6,1,4,2]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,5,6,2,1,4]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,3,5,6,2,4,1]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,5,6,4,1,2]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,3,5,6,4,2,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,3,6,1,2,4,5]=>[7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[7,3,6,1,2,5,4]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,6,1,4,2,5]=>[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,3,6,1,4,5,2]=>[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,6,1,5,2,4]=>[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,3,6,1,5,4,2]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,6,2,1,4,5]=>[7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,6,2,4,1,5]=>[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,3,6,2,4,5,1]=>[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,3,6,2,5,4,1]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,6,4,1,2,5]=>[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[7,3,6,4,1,5,2]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,6,4,2,1,5]=>[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,3,6,4,2,5,1]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,6,4,5,1,2]=>[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,3,6,4,5,2,1]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,6,5,1,2,4]=>[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[7,3,6,5,1,4,2]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,3,6,5,2,4,1]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,5,4,1,2]=>[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,3,6,5,4,2,1]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[7,4,1,2,3,6,5]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[7,4,1,2,5,3,6]=>[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[7,4,1,2,5,6,3]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,4,1,2,6,3,5]=>[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,4,1,2,6,5,3]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,4,1,3,2,5,6]=>[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[7,4,1,3,2,6,5]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,3,5,2,6]=>[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[7,4,1,3,5,6,2]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,4,1,3,6,2,5]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,4,1,3,6,5,2]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,4,1,5,2,3,6]=>[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,4,1,5,2,6,3]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,1,5,3,2,6]=>[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,4,1,5,3,6,2]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,1,5,6,2,3]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,4,1,5,6,3,2]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,4,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,4,1,6,2,5,3]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,1,6,3,2,5]=>[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,4,1,6,3,5,2]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,1,6,5,2,3]=>[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,4,1,6,5,3,2]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,4,2,1,3,5,6]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[.,[[[.,[[.,[.,.]],.]],.],.]]
[7,4,2,1,3,6,5]=>[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,2,1,5,3,6]=>[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[7,4,2,1,5,6,3]=>[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,4,2,1,6,3,5]=>[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,2,1,6,5,3]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,2,3,1,5,6]=>[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[7,4,2,3,1,6,5]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,2,3,5,1,6]=>[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[7,4,2,3,5,6,1]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,4,2,3,6,1,5]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,4,2,3,6,5,1]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,4,2,5,1,3,6]=>[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,4,2,5,1,6,3]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,2,5,3,1,6]=>[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,4,2,5,3,6,1]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,2,5,6,1,3]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,4,2,5,6,3,1]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,4,2,6,1,3,5]=>[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,4,2,6,1,5,3]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,2,6,3,1,5]=>[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,4,2,6,3,5,1]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,2,6,5,1,3]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,4,2,6,5,3,1]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,4,3,1,2,5,6]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[.,[[[.,[.,[[.,.],.]]],.],.]]
[7,4,3,1,2,6,5]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,3,1,5,2,6]=>[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[7,4,3,1,5,6,2]=>[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,4,3,1,6,2,5]=>[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,3,1,6,5,2]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,5,1,6]=>[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[7,4,3,2,5,6,1]=>[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,4,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,3,2,6,5,1]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,5,1,2,6]=>[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,4,3,5,1,6,2]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,3,5,2,1,6]=>[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,4,3,5,2,6,1]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,3,5,6,1,2]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,4,3,5,6,2,1]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,4,3,6,1,2,5]=>[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,4,3,6,1,5,2]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,4,3,6,2,5,1]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,3,6,5,1,2]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,4,3,6,5,2,1]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,4,5,1,2,3,6]=>[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[7,4,5,1,2,6,3]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,5,1,3,2,6]=>[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,4,5,1,3,6,2]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,5,1,6,2,3]=>[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,4,5,1,6,3,2]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,5,2,1,3,6]=>[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[7,4,5,2,1,6,3]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,2,3,1,6]=>[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,4,5,2,3,6,1]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,5,2,6,1,3]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,4,5,2,6,3,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,5,3,1,2,6]=>[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[7,4,5,3,1,6,2]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,3,2,1,6]=>[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[7,4,5,3,2,6,1]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,3,6,1,2]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,4,5,3,6,2,1]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,5,6,1,2,3]=>[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[7,4,5,6,1,3,2]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,4,5,6,2,1,3]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,4,5,6,2,3,1]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,4,5,6,3,1,2]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[7,4,5,6,3,2,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,4,6,1,2,3,5]=>[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[7,4,6,1,2,5,3]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,6,1,3,2,5]=>[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,4,6,1,3,5,2]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,6,1,5,2,3]=>[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,4,6,1,5,3,2]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,2,1,3,5]=>[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,4,6,2,1,5,3]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,6,2,3,1,5]=>[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,4,6,2,3,5,1]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,6,2,5,1,3]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,4,6,2,5,3,1]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,3,1,2,5]=>[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[7,4,6,3,1,5,2]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,6,3,2,1,5]=>[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,4,6,3,2,5,1]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,6,3,5,1,2]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,4,6,3,5,2,1]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,5,1,2,3]=>[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[7,4,6,5,1,3,2]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,5,2,1,3]=>[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,4,6,5,2,3,1]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,5,3,1,2]=>[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,4,6,5,3,2,1]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[.,[[.,[[[[.,.],.],.],.]],.]]
[7,5,1,2,3,6,4]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[7,5,1,2,4,3,6]=>[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[7,5,1,2,4,6,3]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[7,5,1,2,6,3,4]=>[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,5,1,2,6,4,3]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,5,1,3,2,4,6]=>[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[7,5,1,3,2,6,4]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,1,3,4,2,6]=>[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[7,5,1,3,4,6,2]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[7,5,1,3,6,2,4]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,5,1,3,6,4,2]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,5,1,4,2,3,6]=>[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[7,5,1,4,2,6,3]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,1,4,3,2,6]=>[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[7,5,1,4,3,6,2]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,1,4,6,2,3]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,5,1,4,6,3,2]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,5,1,6,2,3,4]=>[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,5,1,6,2,4,3]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,6,3,2,4]=>[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,5,1,6,3,4,2]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,1,6,4,2,3]=>[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,5,1,6,4,3,2]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[7,5,2,1,3,6,4]=>[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,5,2,1,4,3,6]=>[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[7,5,2,1,4,6,3]=>[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,5,2,1,6,3,4]=>[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,2,1,6,4,3]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,2,3,1,4,6]=>[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[7,5,2,3,1,6,4]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,3,4,1,6]=>[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[7,5,2,3,4,6,1]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[7,5,2,3,6,1,4]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,5,2,3,6,4,1]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,5,2,4,1,3,6]=>[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[7,5,2,4,1,6,3]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,4,3,1,6]=>[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[7,5,2,4,3,6,1]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,4,6,1,3]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,5,2,4,6,3,1]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,5,2,6,1,3,4]=>[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,5,2,6,1,4,3]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,6,3,1,4]=>[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,5,2,6,3,4,1]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,2,6,4,1,3]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,5,2,6,4,3,1]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,3,1,2,4,6]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[7,5,3,1,2,6,4]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,5,3,1,4,2,6]=>[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[7,5,3,1,4,6,2]=>[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,5,3,1,6,2,4]=>[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,3,1,6,4,2]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,3,2,1,4,6]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[7,5,3,2,1,6,4]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,3,2,4,1,6]=>[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[7,5,3,2,4,6,1]=>[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,5,3,2,6,1,4]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,3,2,6,4,1]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,3,4,1,2,6]=>[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[7,5,3,4,1,6,2]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,3,4,2,1,6]=>[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[7,5,3,4,2,6,1]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,3,4,6,1,2]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,5,3,4,6,2,1]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,5,3,6,1,2,4]=>[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,5,3,6,1,4,2]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,6,2,1,4]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,5,3,6,2,4,1]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,6,4,1,2]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,5,3,6,4,2,1]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,4,1,2,3,6]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[.,[[.,[.,[[[.,.],.],.]]],.]]
[7,5,4,1,2,6,3]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,5,4,1,3,2,6]=>[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[7,5,4,1,3,6,2]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,5,4,1,6,2,3]=>[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,4,1,6,3,2]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,4,2,1,3,6]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[7,5,4,2,1,6,3]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,3,1,6]=>[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[7,5,4,2,3,6,1]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,5,4,2,6,1,3]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,4,2,6,3,1]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,4,3,1,2,6]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[7,5,4,3,1,6,2]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[7,5,4,3,2,6,1]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,6,1,2]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,4,3,6,2,1]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,4,6,1,2,3]=>[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,5,4,6,1,3,2]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,4,6,2,1,3]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,5,4,6,2,3,1]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,4,6,3,1,2]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[7,5,4,6,3,2,1]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,6,1,2,3,4]=>[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[7,5,6,1,2,4,3]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,5,6,1,3,2,4]=>[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,5,6,1,3,4,2]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,5,6,1,4,2,3]=>[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,5,6,1,4,3,2]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,6,2,1,3,4]=>[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,5,6,2,1,4,3]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,6,2,3,1,4]=>[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,5,6,2,3,4,1]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,5,6,2,4,1,3]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,5,6,2,4,3,1]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,6,3,1,2,4]=>[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[7,5,6,3,1,4,2]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,6,3,2,1,4]=>[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,5,6,3,2,4,1]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,6,3,4,1,2]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[7,5,6,3,4,2,1]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,6,4,1,2,3]=>[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[7,5,6,4,1,3,2]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,4,2,1,3]=>[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,5,6,4,2,3,1]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,4,3,1,2]=>[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[7,5,6,4,3,2,1]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]
[7,6,1,2,3,5,4]=>[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[7,6,1,2,4,3,5]=>[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[7,6,1,2,4,5,3]=>[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[7,6,1,2,5,3,4]=>[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,3,2,4,5]=>[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[7,6,1,3,2,5,4]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,1,3,4,2,5]=>[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[7,6,1,3,4,5,2]=>[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[7,6,1,3,5,2,4]=>[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[7,6,1,3,5,4,2]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,4,2,3,5]=>[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[7,6,1,4,2,5,3]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,1,4,3,2,5]=>[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[7,6,1,4,3,5,2]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,1,4,5,2,3]=>[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[7,6,1,4,5,3,2]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,5,2,3,4]=>[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[7,6,1,5,2,4,3]=>[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,1,5,3,2,4]=>[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[7,6,1,5,3,4,2]=>[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,1,5,4,2,3]=>[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[7,6,2,1,3,5,4]=>[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,6,2,1,4,3,5]=>[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[7,6,2,1,4,5,3]=>[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,6,2,1,5,3,4]=>[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,3,1,4,5]=>[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[7,6,2,3,1,5,4]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,2,3,4,1,5]=>[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[7,6,2,3,4,5,1]=>[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[7,6,2,3,5,1,4]=>[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[7,6,2,3,5,4,1]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,2,4,1,3,5]=>[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[7,6,2,4,1,5,3]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,2,4,3,1,5]=>[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[7,6,2,4,3,5,1]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,2,4,5,1,3]=>[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[7,6,2,4,5,3,1]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,2,5,1,3,4]=>[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[7,6,2,5,1,4,3]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,2,5,3,1,4]=>[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[7,6,2,5,3,4,1]=>[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,2,5,4,1,3]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,2,5,4,3,1]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,1,2,4,5]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[7,6,3,1,2,5,4]=>[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,6,3,1,4,2,5]=>[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[7,6,3,1,4,5,2]=>[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,6,3,1,5,2,4]=>[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,6,3,1,5,4,2]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,6,3,2,4,1,5]=>[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[7,6,3,2,4,5,1]=>[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,6,3,2,5,1,4]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,6,3,2,5,4,1]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,3,4,1,2,5]=>[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[7,6,3,4,1,5,2]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,3,4,2,1,5]=>[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[7,6,3,4,2,5,1]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,3,4,5,1,2]=>[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[7,6,3,4,5,2,1]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,3,5,1,2,4]=>[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[7,6,3,5,1,4,2]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,3,5,2,1,4]=>[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[7,6,3,5,2,4,1]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,3,5,4,1,2]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,3,5,4,2,1]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,[[[.,.],.],.]],.]]]
[7,6,4,1,2,5,3]=>[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,6,4,1,3,2,5]=>[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[7,6,4,1,3,5,2]=>[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,6,4,1,5,2,3]=>[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,6,4,1,5,3,2]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,2,1,3,5]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[7,6,4,2,1,5,3]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,6,4,2,3,1,5]=>[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[7,6,4,2,3,5,1]=>[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,6,4,2,5,1,3]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,6,4,2,5,3,1]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[7,6,4,3,1,5,2]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[7,6,4,3,2,5,1]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,6,4,3,5,1,2]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,6,4,3,5,2,1]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,5,1,2,3]=>[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[7,6,4,5,1,3,2]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,4,5,2,1,3]=>[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[7,6,4,5,2,3,1]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,6,4,5,3,1,2]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,4,5,3,2,1]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[7,6,5,1,2,4,3]=>[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,6,5,1,3,2,4]=>[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[7,6,5,1,3,4,2]=>[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,6,5,1,4,2,3]=>[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,6,5,2,3,1,4]=>[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[7,6,5,2,3,4,1]=>[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[7,6,5,2,4,3,1]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[7,6,5,3,1,4,2]=>[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[7,6,5,3,2,4,1]=>[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,6,5,3,4,1,2]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[7,6,5,3,4,2,1]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[7,6,5,4,2,3,1]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
Map
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.