Identifier
Mp00069:
Permutations
—complement⟶
Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[2,1]=>[1,2]=>[.,[.,.]]
[2,1]=>[1,2]=>[2,1]=>[[.,.],.]
[1,2,3]=>[3,2,1]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,2]=>[3,1,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,1,3]=>[2,3,1]=>[1,2,3]=>[.,[.,[.,.]]]
[2,3,1]=>[2,1,3]=>[3,2,1]=>[[[.,.],.],.]
[3,1,2]=>[1,3,2]=>[2,1,3]=>[[.,.],[.,.]]
[3,2,1]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[1,2,3,4]=>[4,3,2,1]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,3]=>[4,3,1,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[1,3,2,4]=>[4,2,3,1]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[1,3,4,2]=>[4,2,1,3]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[1,4,2,3]=>[4,1,3,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[1,4,3,2]=>[4,1,2,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,1,3,4]=>[3,4,2,1]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[2,1,4,3]=>[3,4,1,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[2,3,1,4]=>[3,2,4,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[2,3,4,1]=>[3,2,1,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[2,4,1,3]=>[3,1,4,2]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[2,4,3,1]=>[3,1,2,4]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[3,1,2,4]=>[2,4,3,1]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,1,4,2]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[3,2,1,4]=>[2,3,4,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[3,2,4,1]=>[2,3,1,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,4,1,2]=>[2,1,4,3]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,4,2,1]=>[2,1,3,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,1,2,3]=>[1,4,3,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[4,1,3,2]=>[1,4,2,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[4,2,1,3]=>[1,3,4,2]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[4,2,3,1]=>[1,3,2,4]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,3,1,2]=>[1,2,4,3]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[4,3,2,1]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,2,3,4,5]=>[5,4,3,2,1]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,4]=>[5,4,3,1,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[1,2,4,3,5]=>[5,4,2,3,1]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[1,2,4,5,3]=>[5,4,2,1,3]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[1,2,5,3,4]=>[5,4,1,3,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[1,2,5,4,3]=>[5,4,1,2,3]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[1,3,2,4,5]=>[5,3,4,2,1]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[1,3,2,5,4]=>[5,3,4,1,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[1,3,4,2,5]=>[5,3,2,4,1]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[1,3,4,5,2]=>[5,3,2,1,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[1,3,5,2,4]=>[5,3,1,4,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[1,3,5,4,2]=>[5,3,1,2,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[1,4,2,3,5]=>[5,2,4,3,1]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[1,4,2,5,3]=>[5,2,4,1,3]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[1,4,3,2,5]=>[5,2,3,4,1]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[1,4,3,5,2]=>[5,2,3,1,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[1,4,5,2,3]=>[5,2,1,4,3]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[1,4,5,3,2]=>[5,2,1,3,4]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[1,5,2,3,4]=>[5,1,4,3,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[1,5,2,4,3]=>[5,1,4,2,3]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[1,5,3,2,4]=>[5,1,3,4,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[1,5,3,4,2]=>[5,1,3,2,4]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[1,5,4,2,3]=>[5,1,2,4,3]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[1,5,4,3,2]=>[5,1,2,3,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,1,3,4,5]=>[4,5,3,2,1]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[2,1,3,5,4]=>[4,5,3,1,2]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[2,1,4,3,5]=>[4,5,2,3,1]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[2,1,4,5,3]=>[4,5,2,1,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[2,1,5,3,4]=>[4,5,1,3,2]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[2,1,5,4,3]=>[4,5,1,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,4,5]=>[4,3,5,2,1]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[2,3,1,5,4]=>[4,3,5,1,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,3,4,1,5]=>[4,3,2,5,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[2,3,4,5,1]=>[4,3,2,1,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[2,3,5,1,4]=>[4,3,1,5,2]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[2,3,5,4,1]=>[4,3,1,2,5]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[2,4,1,3,5]=>[4,2,5,3,1]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[2,4,1,5,3]=>[4,2,5,1,3]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[2,4,3,1,5]=>[4,2,3,5,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[2,4,3,5,1]=>[4,2,3,1,5]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[2,4,5,1,3]=>[4,2,1,5,3]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[2,4,5,3,1]=>[4,2,1,3,5]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[2,5,1,3,4]=>[4,1,5,3,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,5,1,4,3]=>[4,1,5,2,3]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[2,5,3,4,1]=>[4,1,3,2,5]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[2,5,4,1,3]=>[4,1,2,5,3]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[2,5,4,3,1]=>[4,1,2,3,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,1,2,4,5]=>[3,5,4,2,1]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[3,1,2,5,4]=>[3,5,4,1,2]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,1,4,2,5]=>[3,5,2,4,1]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,1,4,5,2]=>[3,5,2,1,4]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[3,1,5,2,4]=>[3,5,1,4,2]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,1,5,4,2]=>[3,5,1,2,4]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,2,1,4,5]=>[3,4,5,2,1]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[3,2,1,5,4]=>[3,4,5,1,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[3,2,4,1,5]=>[3,4,2,5,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[3,2,4,5,1]=>[3,4,2,1,5]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[3,2,5,1,4]=>[3,4,1,5,2]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[3,2,5,4,1]=>[3,4,1,2,5]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[3,4,1,2,5]=>[3,2,5,4,1]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[3,4,1,5,2]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[3,4,2,1,5]=>[3,2,4,5,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[3,4,2,5,1]=>[3,2,4,1,5]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[3,4,5,1,2]=>[3,2,1,5,4]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[3,4,5,2,1]=>[3,2,1,4,5]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[3,5,1,2,4]=>[3,1,5,4,2]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[3,5,1,4,2]=>[3,1,5,2,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,1,4]=>[3,1,4,5,2]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[3,5,2,4,1]=>[3,1,4,2,5]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[3,5,4,1,2]=>[3,1,2,5,4]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[3,5,4,2,1]=>[3,1,2,4,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,1,2,3,5]=>[2,5,4,3,1]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[4,1,2,5,3]=>[2,5,4,1,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[4,1,3,2,5]=>[2,5,3,4,1]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,1,5,2,3]=>[2,5,1,4,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[4,1,5,3,2]=>[2,5,1,3,4]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,1,3,5]=>[2,4,5,3,1]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[4,2,1,5,3]=>[2,4,5,1,3]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[4,2,3,1,5]=>[2,4,3,5,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[4,2,3,5,1]=>[2,4,3,1,5]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,2,5,1,3]=>[2,4,1,5,3]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[4,2,5,3,1]=>[2,4,1,3,5]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[4,3,1,2,5]=>[2,3,5,4,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,3,1,5,2]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,3,2,1,5]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,3,2,5,1]=>[2,3,4,1,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[4,3,5,1,2]=>[2,3,1,5,4]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,3,5,2,1]=>[2,3,1,4,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,5,1,2,3]=>[2,1,5,4,3]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[4,5,1,3,2]=>[2,1,5,3,4]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,1,3]=>[2,1,4,5,3]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[4,5,2,3,1]=>[2,1,4,3,5]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,5,3,1,2]=>[2,1,3,5,4]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,5,3,2,1]=>[2,1,3,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,2,3,4]=>[1,5,4,3,2]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[5,1,2,4,3]=>[1,5,4,2,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[5,1,3,2,4]=>[1,5,3,4,2]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[5,1,3,4,2]=>[1,5,3,2,4]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[5,1,4,2,3]=>[1,5,2,4,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[5,1,4,3,2]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[5,2,1,3,4]=>[1,4,5,3,2]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[5,2,1,4,3]=>[1,4,5,2,3]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[5,2,3,1,4]=>[1,4,3,5,2]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[5,2,3,4,1]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,2,4,1,3]=>[1,4,2,5,3]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,4,3,1]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[5,3,1,2,4]=>[1,3,5,4,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[5,3,1,4,2]=>[1,3,5,2,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[5,3,2,1,4]=>[1,3,4,5,2]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,3,2,4,1]=>[1,3,4,2,5]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,4,1,2]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,3,4,2,1]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,4,1,2,3]=>[1,2,5,4,3]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[5,4,1,3,2]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[5,4,2,1,3]=>[1,2,4,5,3]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[5,4,2,3,1]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,4,3,1,2]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,4,3,2,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,1,4,6,5,3]=>[5,6,3,1,2,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,1,5,4,6,3]=>[5,6,2,3,1,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[2,1,5,6,4,3]=>[5,6,2,1,3,4]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[2,3,1,6,5,4]=>[5,4,6,1,2,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[2,3,4,6,5,1]=>[5,4,3,1,2,6]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,5,4,1,6]=>[5,4,2,3,6,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,3,5,4,6,1]=>[5,4,2,3,1,6]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,5,6,4,1]=>[5,4,2,1,3,6]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,3,6,1,5,4]=>[5,4,1,6,2,3]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,6,4,1,5]=>[5,4,1,3,6,2]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[2,3,6,4,5,1]=>[5,4,1,3,2,6]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[2,3,6,5,1,4]=>[5,4,1,2,6,3]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,6,5,4,1]=>[5,4,1,2,3,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,1,6,5,3]=>[5,3,6,1,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,4,3,1,5,6]=>[5,3,4,6,2,1]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,3,1,6,5]=>[5,3,4,6,1,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,3,5,1,6]=>[5,3,4,2,6,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,3,5,6,1]=>[5,3,4,2,1,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,4,3,6,1,5]=>[5,3,4,1,6,2]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,3,6,5,1]=>[5,3,4,1,2,6]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[2,4,5,3,1,6]=>[5,3,2,4,6,1]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,5,3,6,1]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[2,4,5,6,3,1]=>[5,3,2,1,4,6]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,6,1,5,3]=>[5,3,1,6,2,4]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,4,6,3,1,5]=>[5,3,1,4,6,2]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,6,3,5,1]=>[5,3,1,4,2,6]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[2,4,6,5,1,3]=>[5,3,1,2,6,4]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,4,6,5,3,1]=>[5,3,1,2,4,6]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,1,4,6,3]=>[5,2,6,3,1,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,1,6,4,3]=>[5,2,6,1,3,4]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,5,3,1,6,4]=>[5,2,4,6,1,3]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,3,4,1,6]=>[5,2,4,3,6,1]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,5,3,4,6,1]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[2,5,3,6,1,4]=>[5,2,4,1,6,3]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,3,6,4,1]=>[5,2,4,1,3,6]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,4,1,6,3]=>[5,2,3,6,1,4]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,4,3,1,6]=>[5,2,3,4,6,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,4,3,6,1]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[2,5,4,6,1,3]=>[5,2,3,1,6,4]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,4,6,3,1]=>[5,2,3,1,4,6]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,6,3,1,4]=>[5,2,1,4,6,3]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,6,3,4,1]=>[5,2,1,4,3,6]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[2,5,6,4,1,3]=>[5,2,1,3,6,4]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,6,4,3,1]=>[5,2,1,3,4,6]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,1,4,5,3]=>[5,1,6,3,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,6,3,1,4,5]=>[5,1,4,6,3,2]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,3,1,5,4]=>[5,1,4,6,2,3]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,3,4,5,1]=>[5,1,4,3,2,6]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[2,6,3,5,1,4]=>[5,1,4,2,6,3]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,3,5,4,1]=>[5,1,4,2,3,6]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,4,1,5,3]=>[5,1,3,6,2,4]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,4,3,5,1]=>[5,1,3,4,2,6]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,6,4,5,1,3]=>[5,1,3,2,6,4]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,6,4,5,3,1]=>[5,1,3,2,4,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,6,5,3,1,4]=>[5,1,2,4,6,3]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,5,3,4,1]=>[5,1,2,4,3,6]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,4,6,5,2]=>[4,6,3,1,2,5]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,1,5,4,2,6]=>[4,6,2,3,5,1]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,1,5,6,4,2]=>[4,6,2,1,3,5]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,4,2,5]=>[4,6,1,3,5,2]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,6,4,5,2]=>[4,6,1,3,2,5]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,2,1,5,6,4]=>[4,5,6,2,1,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,2,4,1,6,5]=>[4,5,3,6,1,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,4,6,5,1]=>[4,5,3,1,2,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,2,5,1,6,4]=>[4,5,2,6,1,3]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,2,5,4,1,6]=>[4,5,2,3,6,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,2,5,4,6,1]=>[4,5,2,3,1,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,2,5,6,1,4]=>[4,5,2,1,6,3]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,2,5,6,4,1]=>[4,5,2,1,3,6]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,2,6,4,1,5]=>[4,5,1,3,6,2]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,6,4,5,1]=>[4,5,1,3,2,6]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,1,6,5,2]=>[4,3,6,1,2,5]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,4,2,1,6,5]=>[4,3,5,6,1,2]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,4,2,6,5,1]=>[4,3,5,1,2,6]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,6,1,5,2]=>[4,3,1,6,2,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[3,4,6,5,2,1]=>[4,3,1,2,5,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,1,4,6,2]=>[4,2,6,3,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,1,6,4,2]=>[4,2,6,1,3,5]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,5,2,1,6,4]=>[4,2,5,6,1,3]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,5,2,6,1,4]=>[4,2,5,1,6,3]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,5,2,6,4,1]=>[4,2,5,1,3,6]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,4,1,6,2]=>[4,2,3,6,1,5]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[3,5,4,2,1,6]=>[4,2,3,5,6,1]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,5,4,2,6,1]=>[4,2,3,5,1,6]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,5,4,6,1,2]=>[4,2,3,1,6,5]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[3,5,4,6,2,1]=>[4,2,3,1,5,6]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,6,1,4,2]=>[4,2,1,6,3,5]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[3,5,6,2,1,4]=>[4,2,1,5,6,3]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,5,6,2,4,1]=>[4,2,1,5,3,6]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,5,6,4,1,2]=>[4,2,1,3,6,5]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,1,4,2,5]=>[4,1,6,3,5,2]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,4,1,5,2]=>[4,1,3,6,2,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,4,2,1,5]=>[4,1,3,5,6,2]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,4,5,1,2]=>[4,1,3,2,6,5]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,4,5,2,1]=>[4,1,3,2,5,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,1,3,5,6,2]=>[3,6,4,2,1,5]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,1,3,6,5,2]=>[3,6,4,1,2,5]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,1,5,3,6,2]=>[3,6,2,4,1,5]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,1,5,6,3,2]=>[3,6,2,1,4,5]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[4,1,6,2,5,3]=>[3,6,1,5,2,4]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,1,6,3,5,2]=>[3,6,1,4,2,5]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,2,1,5,3,6]=>[3,5,6,2,4,1]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,1,5,6,3]=>[3,5,6,2,1,4]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,2,3,6,5,1]=>[3,5,4,1,2,6]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,5,1,6,3]=>[3,5,2,6,1,4]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,5,3,1,6]=>[3,5,2,4,6,1]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,5,3,6,1]=>[3,5,2,4,1,6]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,5,6,1,3]=>[3,5,2,1,6,4]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[4,2,5,6,3,1]=>[3,5,2,1,4,6]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,6,3,1,5]=>[3,5,1,4,6,2]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,2,6,3,5,1]=>[3,5,1,4,2,6]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,3,1,5,6,2]=>[3,4,6,2,1,5]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,3,5,1,6,2]=>[3,4,2,6,1,5]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,3,2,6]=>[3,2,6,4,5,1]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,5,1,3,6,2]=>[3,2,6,4,1,5]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,6,3,2]=>[3,2,6,1,4,5]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,5,2,1,6,3]=>[3,2,5,6,1,4]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,5,2,6,1,3]=>[3,2,5,1,6,4]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[4,5,2,6,3,1]=>[3,2,5,1,4,6]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,5,3,1,6,2]=>[3,2,4,6,1,5]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,6,1,3,2]=>[3,2,1,6,4,5]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,6,1,2,5,3]=>[3,1,6,5,2,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,1,3,5,2]=>[3,1,6,4,2,5]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,1,5,2,3]=>[3,1,6,2,5,4]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,6,2,3,1,5]=>[3,1,5,4,6,2]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,2,3,5,1]=>[3,1,5,4,2,6]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,6,5,1,2,3]=>[3,1,2,6,5,4]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[5,1,2,4,6,3]=>[2,6,5,3,1,4]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,1,3,2,6,4]=>[2,6,4,5,1,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,3,4,2,6]=>[2,6,4,3,5,1]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,3,6,2,4]=>[2,6,4,1,5,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,3,6,4,2]=>[2,6,4,1,3,5]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,4,6,2,3]=>[2,6,3,1,5,4]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,4,6,3,2]=>[2,6,3,1,4,5]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,6,3,4,2]=>[2,6,1,4,3,5]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,2,1,3,6,4]=>[2,5,6,4,1,3]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,2,1,4,6,3]=>[2,5,6,3,1,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,2,3,1,6,4]=>[2,5,4,6,1,3]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
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[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,3,6,4,1]=>[2,5,4,1,3,6]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,2,4,1,6,3]=>[2,5,3,6,1,4]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,2,4,3,6,1]=>[2,5,3,4,1,6]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,2,4,6,1,3]=>[2,5,3,1,6,4]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,6,3,1,4]=>[2,5,1,4,6,3]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
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[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
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[5,3,1,6,2,4]=>[2,4,6,1,5,3]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
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[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,3,4,1,6,2]=>[2,4,3,6,1,5]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,4,1,3,6,2]=>[2,3,6,4,1,5]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,6,1,2,4,3]=>[2,1,6,5,3,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,2,4]=>[2,1,6,4,5,3]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[5,6,1,3,4,2]=>[2,1,6,4,3,5]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,1,4,2,3]=>[2,1,6,3,5,4]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[6,1,2,4,5,3]=>[1,6,5,3,2,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[6,1,3,4,2,5]=>[1,6,4,3,5,2]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[6,1,3,4,5,2]=>[1,6,4,3,2,5]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[6,1,3,5,4,2]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[6,1,4,3,5,2]=>[1,6,3,4,2,5]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,4,5,2,3]=>[1,6,3,2,5,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[6,1,4,5,3,2]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[6,1,5,3,4,2]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,1,4,5,3]=>[1,5,6,3,2,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,1,5,4]=>[1,5,4,6,2,3]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,1,5,3]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,4,3,1,5]=>[1,5,3,4,6,2]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[6,2,4,5,1,3]=>[1,5,3,2,6,4]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,4,5,3,1]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,5,3,1,4]=>[1,5,2,4,6,3]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,3,4,1]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[6,3,1,4,5,2]=>[1,4,6,3,2,5]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[6,3,4,1,5,2]=>[1,4,3,6,2,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[6,4,1,3,5,2]=>[1,3,6,4,2,5]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[6,5,1,3,4,2]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[7,1,5,6,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[6,1,5,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[1,5,7,6,4,3,2]=>[.,[[[[.,[[.,.],.]],.],.],.]]
[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[1,5,6,7,4,3,2]=>[.,[[[[.,[.,[.,.]]],.],.],.]]
[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[5,6,7,1,4,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[6,1,7,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[7,1,5,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[6,1,5,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[7,5,1,4,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>[1,5,6,4,7,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[6,5,1,4,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[5,1,7,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[5,7,1,4,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>[5,1,6,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[5,6,1,4,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[5,6,7,4,1,3,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[1,7,4,6,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[7,1,4,6,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[6,1,4,7,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[7,1,4,5,6,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[6,1,4,5,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>[1,5,4,6,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>[7,5,4,6,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>[6,5,4,7,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[5,1,4,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[5,1,4,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>[5,6,4,1,7,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>[5,6,4,7,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[1,4,6,7,5,3,2]=>[.,[[[.,[[.,[.,.]],.]],.],.]]
[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>[7,4,1,5,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[1,4,6,5,7,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[6,4,1,5,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[1,4,5,7,6,3,2]=>[.,[[[.,[.,[[.,.],.]]],.],.]]
[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[7,4,5,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>[6,4,5,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>[6,4,5,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>[5,4,1,6,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[5,4,6,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[5,4,6,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[4,1,6,7,5,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[4,6,1,7,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[4,6,7,1,5,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[4,1,7,5,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[4,7,1,5,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>[4,1,6,5,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[4,6,1,5,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[4,6,7,5,1,3,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[4,1,5,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[4,1,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>[4,6,5,7,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[4,5,1,7,6,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[4,5,7,1,6,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[4,5,1,6,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[4,5,6,1,7,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[4,5,6,7,1,3,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[6,1,5,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[6,5,1,7,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>[6,5,7,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[7,1,6,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[1,6,7,4,3,5,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[7,6,1,4,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[6,1,7,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>[6,7,1,4,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[7,1,5,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[6,1,5,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[7,5,1,4,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[6,5,1,4,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[5,1,7,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>[5,7,1,4,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>[5,1,6,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>[5,6,1,4,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[1,7,4,6,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[7,1,4,6,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[7,6,4,1,3,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[6,1,4,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[6,7,4,1,3,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>[1,7,4,5,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>[7,1,4,5,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>[1,6,4,5,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>[6,1,4,5,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[7,5,4,1,3,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>[7,5,4,6,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[6,5,4,1,3,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>[6,5,4,7,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[5,1,4,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>[5,7,4,1,3,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>[5,1,4,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>[5,6,4,1,3,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[5,6,4,7,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[1,4,7,6,3,5,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[7,4,1,6,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[1,4,6,7,3,5,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>[7,4,6,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[6,4,1,7,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>[6,4,7,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>[7,4,1,5,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>[6,4,1,5,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[1,4,5,7,3,6,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>[7,4,5,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>[1,4,5,6,3,7,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>[6,4,5,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>[6,4,5,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[5,4,1,7,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>[5,4,7,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>[5,4,1,6,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>[5,4,6,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>[5,4,6,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[4,1,7,6,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[4,7,1,6,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[4,1,6,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[4,6,7,1,3,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>[4,1,7,5,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>[4,7,1,5,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>[4,1,6,5,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>[4,6,1,5,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[4,1,5,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>[4,1,5,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[4,5,1,7,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[4,5,7,1,3,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>[4,5,1,6,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[4,5,6,1,3,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[1,7,6,3,5,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[7,1,6,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[1,6,7,3,5,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[7,6,1,3,5,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[6,1,7,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[6,7,1,3,5,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[6,1,5,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[6,5,1,3,7,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[5,1,7,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[5,7,1,3,6,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[5,6,1,3,7,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>[7,1,5,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>[6,1,5,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[1,5,7,3,4,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>[7,5,1,3,4,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>[1,5,6,3,4,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>[6,5,1,3,4,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[5,1,7,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[5,7,1,3,4,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>[5,1,6,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[5,6,1,3,4,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[7,1,4,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[7,6,4,3,1,5,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[6,1,4,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>[1,7,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>[7,1,4,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>[7,6,4,3,5,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>[6,1,4,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[7,5,4,3,1,6,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>[7,5,4,3,6,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>[6,5,4,3,7,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[5,1,4,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>[5,1,4,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[1,4,7,3,6,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[7,4,1,3,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[6,4,1,3,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>[7,4,1,3,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>[7,4,6,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>[6,4,1,3,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>[7,4,5,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>[7,4,5,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>[6,4,5,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>[6,4,5,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[5,4,1,3,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>[5,4,1,3,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>[5,4,6,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[4,1,7,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[4,7,1,3,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>[4,1,6,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[4,6,1,3,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[4,6,7,3,1,5,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[4,1,7,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[4,7,1,3,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>[4,1,6,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[4,6,1,3,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>[4,6,7,3,5,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[4,1,5,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>[4,7,5,3,1,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[4,1,5,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>[4,7,5,3,6,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>[4,6,5,3,1,7,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>[4,6,5,3,7,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[4,5,1,3,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>[4,5,7,3,1,6,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[4,5,1,3,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>[4,5,7,3,6,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>[4,5,6,3,1,7,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>[4,5,6,3,7,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[7,1,3,6,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[6,1,3,7,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[7,1,3,5,6,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[6,1,3,5,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[5,1,3,6,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[7,1,3,6,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[7,1,3,5,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[6,1,3,5,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>[7,5,3,1,4,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>[6,5,3,1,4,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>[6,5,3,7,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[5,1,3,7,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>[5,1,3,6,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[5,6,3,1,4,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[7,1,3,4,6,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[6,1,3,4,7,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[6,1,3,4,5,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>[7,5,3,4,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>[7,5,3,4,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>[6,5,3,4,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>[6,5,3,4,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[5,1,3,4,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[5,1,3,4,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>[7,4,3,1,5,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[6,4,3,1,5,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>[7,4,3,5,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>[7,4,3,5,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>[6,4,3,5,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>[6,4,3,5,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>[5,4,3,1,6,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>[5,4,3,6,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[4,1,3,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[4,1,3,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[4,1,3,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>[4,1,3,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[4,1,3,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[4,1,3,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>[4,7,3,5,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>[4,6,3,5,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>[4,6,3,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[4,5,3,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>[4,5,3,6,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[1,3,7,6,5,4,2]=>[.,[[.,[[[[.,.],.],.],.]],.]]
[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[1,3,7,5,6,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>[6,3,1,5,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>[6,3,5,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>[6,3,5,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[1,3,7,6,4,5,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>[1,3,7,5,4,6,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>[7,3,1,5,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[1,3,6,5,4,7,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[6,3,1,5,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>[7,3,5,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>[6,3,5,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>[6,3,5,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>[5,3,1,7,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[5,3,7,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>[5,3,1,6,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[5,3,6,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[1,3,7,4,6,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[7,3,1,4,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[6,3,1,4,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>[7,3,5,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>[6,3,5,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>[6,3,5,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>[5,3,1,4,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>[5,3,7,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>[5,3,1,4,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>[5,3,6,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>[5,3,6,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[1,3,4,7,6,5,2]=>[.,[[.,[.,[[[.,.],.],.]]],.]]
[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>[7,3,4,6,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>[6,3,4,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>[6,3,4,5,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>[5,3,4,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>[5,3,4,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[5,3,4,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>[5,3,4,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>[5,3,4,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>[5,3,4,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>[4,3,1,6,7,5,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>[4,3,6,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>[4,3,6,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>[4,3,1,7,5,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[4,3,7,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>[4,3,1,6,5,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>[4,3,6,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>[4,3,6,7,5,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>[4,3,1,5,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>[4,3,7,5,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[4,3,6,5,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>[4,3,6,5,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>[4,3,5,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>[4,3,5,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>[4,3,5,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[4,3,5,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[3,1,6,7,5,4,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[3,6,7,1,5,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>[3,1,6,5,7,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[3,1,5,7,6,4,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[3,6,5,1,7,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>[3,6,5,7,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[3,5,7,1,6,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[3,5,6,1,7,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[3,5,6,7,1,4,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>[3,1,7,5,4,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>[3,1,6,5,4,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[3,1,5,7,4,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[3,7,5,1,4,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,7,3,5,4,2,6]=>[7,1,5,3,4,6,2]=>[3,1,5,6,4,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>[3,6,5,1,4,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>[3,6,5,7,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[3,5,7,1,4,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>[3,5,1,6,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[3,5,6,1,4,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[3,1,7,4,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,7,4,3,5,2,6]=>[7,1,4,5,3,6,2]=>[3,1,6,4,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>[3,7,5,4,1,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,7,4,5,3,2,6]=>[7,1,4,3,5,6,2]=>[3,1,5,4,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[3,7,5,4,6,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>[3,6,5,4,1,7,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>[3,5,7,4,1,6,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>[3,5,7,4,6,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>[3,5,6,4,1,7,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[3,1,4,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[3,1,4,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,7,5,3,4,2,6]=>[7,1,3,5,4,6,2]=>[3,1,4,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>[3,6,4,1,5,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[3,1,4,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>[3,6,4,5,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>[3,5,4,1,7,6,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>[3,5,4,7,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>[3,5,4,1,6,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[3,5,4,7,6,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>[3,5,4,6,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>[3,5,4,6,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>[3,4,7,6,1,5,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[3,4,6,1,7,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>[3,4,1,6,5,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[3,4,6,1,5,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>[3,4,6,5,1,7,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[3,4,6,5,7,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[6,1,5,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[6,5,1,7,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[6,5,7,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[1,7,5,4,6,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[7,1,5,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[6,1,5,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[7,5,1,4,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[6,5,1,4,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[6,5,7,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[5,1,7,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[5,7,1,4,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[5,1,6,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[5,6,1,4,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[6,1,4,5,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[1,5,4,6,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[7,5,4,6,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[6,5,4,1,7,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[6,5,4,7,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[5,1,4,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[5,7,4,1,6,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[5,1,4,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[5,7,4,6,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[5,6,4,1,7,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[5,6,4,7,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[1,4,6,5,7,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[6,4,1,5,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>[6,4,5,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>[5,4,7,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>[5,4,1,6,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[5,4,6,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>[5,4,6,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>[4,1,6,5,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[4,6,1,5,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>[4,6,5,1,7,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,6,3,5,4]=>[6,7,1,2,5,3,4]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,6,4,5,3]=>[6,7,1,2,4,3,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[1,6,7,5,3,2,4]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[6,1,7,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>[6,7,1,5,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[7,1,5,6,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[1,5,7,6,3,2,4]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[7,5,1,6,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[6,5,1,7,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>[6,5,7,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[5,1,7,6,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>[5,7,1,6,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>[5,1,6,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>[5,6,1,7,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[7,1,6,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[1,6,7,4,3,2,5]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[6,1,5,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[1,5,7,4,3,2,6]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[7,5,1,4,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>[5,6,1,4,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[1,7,4,6,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[7,1,4,6,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[7,6,4,1,3,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[6,1,4,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>[6,7,4,1,3,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>[1,7,4,5,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>[6,1,4,5,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[1,5,4,7,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[7,5,4,1,3,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[6,5,4,1,3,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[5,1,4,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>[5,7,4,1,3,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>[5,1,4,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>[5,6,4,1,3,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[1,4,7,6,3,2,5]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>[1,4,6,7,3,2,5]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>[7,4,6,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[6,4,1,7,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>[6,4,7,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>[1,4,7,5,3,2,6]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>[7,4,1,5,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>[6,4,1,5,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>[1,4,5,7,3,2,6]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[7,4,5,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>[6,4,5,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[5,4,1,7,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>[5,4,7,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>[5,4,1,6,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>[5,4,6,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[4,1,7,6,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>[4,7,1,6,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>[4,1,6,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>[4,6,7,1,3,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[4,1,7,5,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>[4,7,1,5,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>[4,1,6,5,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>[4,6,1,5,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>[4,1,5,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>[4,5,1,7,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>[4,5,7,1,3,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>[4,5,1,6,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>[4,5,6,1,3,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[7,1,6,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[1,6,7,3,5,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[7,6,1,3,5,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[6,1,7,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[6,7,1,3,5,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[1,7,5,3,6,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[7,1,5,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[7,6,5,3,1,2,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[6,1,5,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[1,5,7,3,6,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[7,5,1,3,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[1,5,6,3,7,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[7,5,6,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[6,5,1,3,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[6,5,7,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[5,1,7,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[5,7,1,3,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[5,1,6,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[5,7,6,3,1,2,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[5,6,1,3,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[7,1,6,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[1,6,7,3,4,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[6,1,7,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[1,7,5,3,4,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[6,1,5,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[1,5,7,3,4,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[7,5,1,3,4,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[6,5,1,3,4,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[5,7,1,3,4,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[5,1,6,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[5,6,1,3,4,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[7,1,4,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[7,6,4,3,1,2,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[6,1,4,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[7,1,4,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[6,1,4,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[7,5,4,3,1,2,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[5,1,4,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[5,1,4,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[1,4,7,3,6,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[7,4,1,3,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[7,4,6,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[6,4,1,3,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[6,4,7,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[1,4,7,3,5,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[7,4,1,3,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[6,4,1,3,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[1,4,5,3,7,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[7,4,5,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[7,4,5,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[6,4,5,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[5,4,1,3,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[5,4,7,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[5,4,1,3,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[5,4,6,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[4,1,7,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[4,7,1,3,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[4,1,6,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[4,7,6,3,1,2,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[4,6,1,3,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[4,6,7,3,1,2,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[4,1,7,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[4,7,1,3,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[4,1,6,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[4,6,1,3,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[4,1,5,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[4,7,5,3,1,2,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[4,1,5,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[4,6,5,3,1,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[4,5,1,3,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[4,5,7,3,1,2,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[4,5,1,3,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[4,5,6,3,1,2,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[7,1,3,6,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[6,1,3,7,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[1,7,3,5,6,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[7,1,3,5,6,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[7,6,3,5,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[6,1,3,5,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[7,5,3,1,6,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[6,5,3,1,7,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[5,1,3,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[7,1,3,6,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[7,6,3,1,4,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[6,1,3,7,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[1,7,3,5,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[7,1,3,5,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[6,1,3,5,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[1,5,3,7,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[7,5,3,1,4,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[6,5,3,1,4,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[5,1,3,7,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[5,1,3,6,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[5,6,3,1,4,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[7,1,3,4,6,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[7,6,3,4,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[6,1,3,4,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[6,1,3,4,5,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[1,5,3,4,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[7,5,3,4,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[6,5,3,4,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[5,1,3,4,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[5,1,3,4,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[1,4,3,7,6,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[7,4,3,1,6,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[7,4,3,6,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[6,4,3,1,7,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[6,4,3,7,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[1,4,3,7,5,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[7,4,3,1,5,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[6,4,3,1,5,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[1,4,3,5,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[7,4,3,5,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[6,4,3,5,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[5,4,3,1,7,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[5,4,3,7,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[5,4,3,1,6,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[5,4,3,6,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[4,1,3,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[4,1,3,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[4,1,3,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[4,1,3,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[4,1,3,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[4,5,3,7,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[4,5,3,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[1,3,7,6,5,2,4]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[7,3,1,6,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[7,3,6,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[6,3,1,7,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[6,3,7,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[1,3,7,5,6,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[7,3,1,5,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[7,3,6,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[6,3,1,5,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[6,3,7,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[1,3,5,6,7,2,4]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[7,3,5,6,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[6,3,5,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[6,3,5,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[5,3,1,7,6,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[5,3,1,6,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[5,3,6,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[1,3,7,6,4,2,5]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[7,3,1,6,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[1,3,6,7,4,2,5]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[7,3,6,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[6,3,1,7,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[6,3,7,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[1,3,7,5,4,2,6]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[7,3,1,5,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[1,3,6,5,4,2,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[6,3,1,5,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[1,3,5,7,4,2,6]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[7,3,5,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,5,4,1,7]=>[6,2,5,3,4,7,1]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[5,3,1,7,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[5,3,7,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[5,3,1,6,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[5,3,6,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[1,3,7,4,6,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[7,3,6,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[6,3,1,4,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[6,3,7,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[1,3,7,4,5,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[7,3,1,4,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,4,3,5,1,7]=>[6,2,4,5,3,7,1]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[6,3,1,4,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[1,3,5,4,7,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[7,3,5,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,4,5,3,1,7]=>[6,2,4,3,5,7,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[6,3,5,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[5,3,1,4,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[5,3,7,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[5,3,1,4,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[5,3,6,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[1,3,4,7,6,2,5]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[7,3,4,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[7,3,4,6,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[6,3,4,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[6,3,4,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[1,3,4,7,5,2,6]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[7,3,4,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,3,4,1,7]=>[6,2,3,5,4,7,1]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[6,3,4,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[1,3,4,5,7,2,6]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[7,3,4,5,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[6,3,4,5,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[5,3,4,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[5,3,4,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[5,3,4,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>[5,3,4,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[4,3,7,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[4,3,1,6,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[4,3,6,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[4,3,1,7,5,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[4,3,7,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[4,3,1,6,5,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[4,3,6,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[4,3,1,5,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[4,3,7,5,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[4,3,1,5,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[4,3,6,5,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[4,3,5,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[4,3,5,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[4,3,5,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[3,1,7,6,5,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[3,1,6,7,5,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[3,7,6,1,5,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[3,6,7,1,5,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[3,1,7,5,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[3,1,6,5,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[3,7,6,5,1,2,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[3,6,1,5,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[3,6,7,5,1,2,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[3,1,5,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[3,7,5,1,6,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[3,1,5,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[3,7,5,6,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[3,6,5,7,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[3,5,1,7,6,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[3,5,7,1,6,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[3,5,7,6,1,2,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[3,5,6,7,1,2,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[3,1,7,6,4,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[3,1,6,7,4,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[3,7,6,1,4,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[3,6,7,1,4,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[3,1,7,5,4,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[3,1,6,5,4,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[3,1,5,7,4,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[3,7,5,1,4,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[3,1,5,6,4,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[3,6,5,1,4,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[3,5,1,7,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[3,5,7,1,4,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[3,5,1,6,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[3,5,6,1,4,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[3,1,7,4,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[3,1,6,4,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[3,7,6,4,1,2,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[3,6,7,4,1,2,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[3,1,7,4,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[3,1,6,4,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[3,7,5,4,1,2,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[3,1,5,4,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[3,6,5,4,1,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[3,5,7,4,1,2,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[3,5,6,4,1,2,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[3,1,4,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[3,7,4,1,6,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[3,1,4,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[3,7,4,6,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[3,6,4,1,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[3,6,4,7,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[3,1,4,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[3,7,4,1,5,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[3,1,4,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[3,6,4,1,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[3,7,4,5,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[3,1,4,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[3,6,4,5,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[3,5,4,1,7,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[3,5,4,7,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[3,5,4,1,6,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[3,5,4,6,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[3,4,1,7,6,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[3,4,7,1,6,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[3,4,7,6,1,2,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[3,4,1,7,5,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[3,4,7,1,5,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[3,4,1,6,5,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[3,4,6,1,5,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[3,4,7,5,1,2,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[3,4,6,5,1,2,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[3,4,5,1,7,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[3,4,5,7,1,2,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[3,4,5,1,6,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[3,4,5,6,1,2,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[1,6,7,5,2,4,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[7,6,1,5,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[6,1,7,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[6,7,1,5,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[1,7,5,6,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[7,1,5,6,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[1,6,5,7,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[7,6,5,1,2,4,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[6,1,5,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>[6,7,5,1,2,4,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>[7,5,6,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[6,5,1,7,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>[6,5,7,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[5,1,6,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>[5,7,6,1,2,4,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[5,6,1,7,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[1,7,5,4,2,6,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[7,1,5,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[1,6,5,4,2,7,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[6,1,5,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>[6,7,5,4,2,1,3]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[7,5,1,4,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[6,5,1,4,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[5,1,7,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>[5,7,1,4,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>[5,1,6,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>[5,6,1,4,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>[5,6,7,4,2,1,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[1,7,4,6,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[7,1,4,6,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>[1,6,4,5,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>[7,6,4,5,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>[6,1,4,5,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>[6,7,4,5,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[7,5,4,1,2,6,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>[7,5,4,6,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[6,5,4,1,2,7,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>[6,5,4,7,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>[5,7,4,1,2,6,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>[5,1,4,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>[5,6,4,1,2,7,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>[5,6,4,7,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[1,4,7,6,2,5,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>[7,4,6,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>[6,4,1,5,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>[6,4,7,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>[6,4,5,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>[5,4,7,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>[5,4,1,6,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>[5,4,7,6,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>[5,4,6,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>[5,4,6,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[4,1,7,6,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[4,1,6,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>[4,1,6,5,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>[4,6,1,5,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>[4,6,7,5,2,1,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,7,5,4,6,2]=>[5,7,1,3,4,2,6]=>[4,7,5,6,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>[4,6,5,1,2,7,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>[4,6,5,7,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>[4,5,7,6,2,1,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>[4,5,6,7,2,1,3]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>[1,6,5,7,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[6,1,5,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[6,5,1,7,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[1,7,6,4,2,3,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>[7,1,6,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>[6,1,7,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[1,7,5,4,2,3,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[6,1,5,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>[7,5,1,4,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>[6,5,1,4,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>[5,7,1,4,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>[5,1,6,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>[5,6,1,4,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[1,7,4,6,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[7,1,4,6,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>[7,6,4,1,2,3,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[6,1,4,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>[1,7,4,5,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>[6,1,4,5,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>[1,5,4,7,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>[7,5,4,6,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>[6,5,4,1,2,3,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>[5,7,4,1,2,3,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>[5,1,4,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>[5,6,4,1,2,3,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[1,4,7,6,2,3,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>[6,4,7,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>[1,4,7,5,2,3,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>[7,4,1,5,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>[6,4,1,5,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>[7,4,5,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,6,5,4,7,1]=>[5,6,2,3,4,1,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>[6,4,5,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>[5,4,1,6,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>[5,4,6,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[4,1,7,6,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[4,1,6,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[4,7,1,5,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>[4,1,6,5,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>[4,6,1,5,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>[4,7,5,1,2,3,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>[4,1,5,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>[4,6,5,1,2,3,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>[4,5,1,6,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[7,1,6,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[1,6,7,3,2,5,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[7,6,1,3,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[6,1,7,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[6,7,1,3,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[7,1,5,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[6,1,5,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>[6,7,5,3,2,1,4]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[1,5,7,3,2,6,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[7,5,1,3,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>[1,5,6,3,2,7,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>[7,5,6,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[6,5,1,3,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>[6,5,7,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[5,1,7,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>[5,1,6,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>[5,6,1,3,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[1,7,6,3,2,4,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>[7,1,6,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>[1,6,7,3,2,4,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>[6,1,7,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>[6,7,1,3,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>[7,1,5,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[6,1,5,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[1,5,7,3,2,4,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>[7,5,1,3,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>[1,5,6,3,2,4,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>[7,5,6,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>[6,5,1,3,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[5,1,7,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>[5,7,1,3,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>[5,1,6,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>[5,6,1,3,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[1,7,4,3,2,6,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[7,1,4,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[6,1,4,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>[6,7,4,3,2,1,5]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>[7,1,4,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[6,1,4,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[5,1,4,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[5,1,4,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[5,6,4,3,2,1,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[1,4,7,3,2,6,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>[1,4,6,3,2,7,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>[7,4,6,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[6,4,1,3,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>[6,4,7,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[1,4,7,3,2,5,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>[7,4,1,3,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[1,4,6,3,2,5,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>[6,4,1,3,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>[7,4,5,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>[6,4,5,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[5,4,1,3,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>[5,4,7,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>[5,4,1,3,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>[5,4,6,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[4,1,7,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>[4,7,1,3,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>[4,1,6,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>[4,6,1,3,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>[4,6,7,3,2,1,5]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[4,1,7,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>[4,7,1,3,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[4,1,6,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[4,6,1,3,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[4,1,5,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>[4,7,5,3,2,1,6]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>[4,1,5,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>[4,6,5,3,2,1,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[4,5,1,3,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>[4,5,7,3,2,1,6]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>[4,5,1,3,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[7,1,3,6,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[7,6,3,1,2,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[6,1,3,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[7,1,3,5,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>[6,1,3,5,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[7,5,3,1,2,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[6,5,3,1,2,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[5,1,3,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>[5,1,3,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>[5,6,3,7,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[1,7,3,6,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[7,1,3,6,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>[7,6,3,1,2,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[6,1,3,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>[7,1,3,5,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[6,1,3,5,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[7,5,3,1,2,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>[5,1,3,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>[5,6,3,1,2,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>[7,1,3,4,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>[6,1,3,4,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>[6,7,3,4,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>[7,1,3,4,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,4,2,6,1,7]=>[5,3,4,6,2,7,1]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>[6,1,3,4,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,4,6,2,1,7]=>[5,3,4,2,6,7,1]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>[5,1,3,4,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>[5,7,3,4,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>[5,1,3,4,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>[5,6,3,4,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[7,4,3,1,2,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>[1,4,3,6,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[6,4,3,1,2,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>[1,4,3,7,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>[7,4,3,1,2,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>[1,4,3,6,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>[6,4,3,1,2,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>[7,4,3,5,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>[6,4,3,5,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[5,4,3,1,2,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>[5,4,3,1,2,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[4,1,3,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>[4,1,3,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[4,1,3,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>[4,1,3,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>[4,1,3,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>[4,7,3,5,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>[4,1,3,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>[4,6,3,5,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>[4,5,3,7,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>[4,5,3,6,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[1,3,7,6,2,5,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[7,3,1,6,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[1,3,6,7,2,5,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>[7,3,6,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[6,3,1,7,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>[6,3,7,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>[1,3,7,5,2,6,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>[7,3,1,5,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[1,3,6,5,2,7,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[6,3,1,5,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>[7,3,5,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>[7,3,5,6,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>[6,3,5,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[5,3,1,7,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>[5,3,7,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>[5,3,1,6,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[5,3,6,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>[5,3,6,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[1,3,7,6,2,4,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[1,3,6,7,2,4,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>[7,3,6,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>[6,3,1,7,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>[6,3,7,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[1,3,7,5,2,4,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>[7,3,1,5,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[1,3,6,5,2,4,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>[6,3,1,5,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[1,3,5,7,2,4,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>[7,3,5,6,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>[5,3,1,6,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>[5,3,6,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[1,3,7,4,2,6,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>[1,3,6,4,2,7,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>[7,3,6,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>[6,3,1,4,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>[6,3,7,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>[1,3,7,4,2,5,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>[7,3,1,4,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>[1,3,6,4,2,5,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>[7,3,6,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>[6,3,1,4,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>[7,3,5,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>[7,3,5,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>[6,3,5,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>[5,3,1,4,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>[5,3,7,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>[5,3,1,4,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>[5,3,6,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[1,3,4,7,2,6,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>[7,3,4,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>[1,3,4,6,2,7,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>[7,3,4,6,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>[6,3,4,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>[6,3,4,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[1,3,4,7,2,5,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>[7,3,4,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>[1,3,4,6,2,5,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>[7,3,4,6,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>[6,3,4,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>[7,3,4,5,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>[7,3,4,5,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>[6,3,4,5,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>[5,3,4,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>[5,3,4,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>[5,3,4,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>[5,3,4,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[4,3,1,7,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>[4,3,7,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>[4,3,1,6,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>[4,3,6,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>[4,3,6,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>[4,3,1,7,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>[4,3,1,6,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>[4,3,6,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[4,3,1,5,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>[4,3,7,5,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>[4,3,1,5,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>[4,3,6,5,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>[4,3,5,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>[4,3,5,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>[4,3,5,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>[4,3,5,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[3,1,7,6,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[3,1,6,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>[3,7,6,1,2,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[3,6,7,1,2,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>[3,1,7,5,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>[3,1,6,5,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>[3,6,1,5,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[3,6,7,5,2,1,4]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[3,1,5,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>[3,7,5,1,2,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>[3,1,5,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[3,7,5,6,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>[3,6,5,1,2,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>[3,6,5,7,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[3,5,7,1,2,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>[3,5,7,6,2,1,4]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[3,5,6,1,2,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[3,5,6,7,2,1,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[3,1,6,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[3,6,7,1,2,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[3,1,7,5,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[3,1,6,5,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[3,1,5,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>[3,1,5,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>[3,6,5,1,2,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[3,5,6,1,2,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[3,1,7,4,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>[3,1,6,4,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>[3,7,6,4,2,1,5]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>[3,6,7,4,2,1,5]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>[3,1,7,4,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>[3,1,6,4,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>[3,1,5,4,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>[3,7,5,4,2,1,6]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>[3,1,5,4,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>[3,6,5,4,2,1,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>[3,5,7,4,2,1,6]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>[3,5,6,4,2,1,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[3,1,4,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[3,7,4,1,2,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>[3,1,4,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>[3,7,4,6,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>[3,6,4,1,2,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>[3,6,4,7,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[3,1,4,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>[3,7,4,1,2,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>[3,1,4,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>[3,6,4,1,2,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>[3,1,4,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>[3,7,4,5,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>[3,1,4,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>[3,6,4,5,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>[3,5,4,1,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>[3,5,4,7,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>[3,5,4,1,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>[3,5,4,6,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[3,4,7,1,2,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>[3,4,7,6,2,1,5]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[3,4,6,1,2,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>[3,4,6,7,2,1,5]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[3,4,7,1,2,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[3,4,6,1,2,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>[3,4,7,5,2,1,6]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>[3,4,6,5,2,1,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[3,4,5,1,2,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>[3,4,5,7,2,1,6]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[3,4,5,1,2,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>[3,4,5,6,2,1,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[1,7,6,2,5,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[7,1,6,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[1,6,7,2,5,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[7,6,1,2,5,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[6,7,1,2,5,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[7,1,5,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[1,6,5,2,7,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[6,1,5,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[1,5,7,2,6,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[1,5,6,2,7,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[6,5,1,2,7,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[5,1,7,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[5,7,1,2,6,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[5,6,1,2,7,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[7,6,1,2,4,5,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>[1,7,5,2,4,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[7,1,5,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>[1,6,5,2,4,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>[7,6,5,2,4,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>[6,1,5,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[1,5,7,2,4,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[7,5,1,2,4,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>[1,5,6,2,4,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>[6,5,1,2,4,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>[6,5,7,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[5,1,7,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[5,7,1,2,4,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[5,1,6,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[5,6,1,2,4,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>[5,6,7,2,4,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[1,7,4,2,6,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[7,6,4,2,1,5,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>[6,7,4,2,1,5,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>[1,6,4,2,5,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>[7,6,4,2,5,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[6,1,4,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[1,5,4,2,7,6,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[7,5,4,2,1,6,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>[1,5,4,2,6,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[6,5,4,2,1,7,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[5,1,4,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[5,1,4,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>[5,6,4,2,1,7,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>[5,6,4,2,7,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[7,4,1,2,6,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[6,4,1,2,5,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[5,4,1,2,6,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[4,6,7,2,1,5,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[4,1,6,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,7,3,5,6,2]=>[4,7,1,5,3,2,6]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[4,6,1,2,5,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[4,6,7,2,5,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[4,7,5,2,1,6,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,7,5,3,6,2]=>[4,7,1,3,5,2,6]=>[4,7,5,2,6,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[4,6,5,2,1,7,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[4,6,5,2,7,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[4,5,7,2,1,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[4,5,7,2,6,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>[4,5,6,2,1,7,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[4,5,6,2,7,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[1,6,5,2,7,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[7,6,5,2,1,3,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[6,1,5,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[6,7,5,2,1,3,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[7,5,6,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[6,5,1,2,7,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[5,7,6,2,1,3,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]=>[5,6,7,2,1,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[1,7,6,2,4,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[7,1,6,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[7,6,1,2,4,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[6,1,7,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[6,7,1,2,4,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[1,7,5,2,4,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[7,1,5,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[1,6,5,2,4,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[6,1,5,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[1,5,7,2,4,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[7,5,1,2,4,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[1,5,6,2,4,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[6,5,1,2,4,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[5,1,7,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[5,7,1,2,4,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[5,1,6,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>[5,6,1,2,4,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>[1,6,4,2,7,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>[7,6,4,2,1,3,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>[6,1,4,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>[6,7,4,2,1,3,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>[1,7,4,2,5,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>[7,1,4,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>[1,6,4,2,5,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>[6,1,4,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>[1,5,4,2,7,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>[7,5,4,2,1,3,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>[1,5,4,2,6,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>[6,5,4,2,1,3,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>[5,7,4,2,1,3,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>[5,1,4,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>[5,6,4,2,1,3,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>[7,4,1,2,6,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>[7,4,1,2,5,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,6,3,5,7,1]=>[4,6,2,5,3,1,7]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>[6,4,1,2,5,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,6,5,3,7,1]=>[4,6,2,3,5,1,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>[5,4,1,2,6,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[4,1,7,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[4,7,1,2,6,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[4,7,6,2,1,3,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[4,6,1,2,7,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[4,6,7,2,1,3,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>[4,7,1,2,5,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>[4,1,6,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>[4,6,1,2,5,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>[4,7,5,2,1,3,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>[4,6,5,2,1,3,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>[4,5,7,2,1,3,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>[4,5,1,2,6,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>[4,5,6,2,1,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[1,7,6,2,3,5,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[7,1,6,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>[7,6,1,2,3,5,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[6,1,7,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[6,7,1,2,3,5,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>[1,6,5,2,3,7,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>[7,6,5,2,3,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>[6,1,5,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>[6,7,5,2,3,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>[6,5,1,2,3,7,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>[6,5,7,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>[5,7,6,2,3,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>[5,6,7,2,3,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[1,7,5,2,3,4,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[6,1,5,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>[5,1,6,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>[7,1,4,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>[1,6,4,2,3,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>[7,6,4,2,3,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>[6,1,4,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>[6,7,4,2,3,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>[7,1,4,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[1,6,4,2,3,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[7,6,4,2,3,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[6,1,4,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[1,5,4,2,3,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>[7,5,4,2,3,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[7,5,4,2,3,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[6,5,4,2,3,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[5,1,4,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>[5,7,4,2,3,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[5,1,4,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[5,6,4,2,3,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>[7,4,1,2,3,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>[6,4,1,2,3,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>[7,4,1,2,3,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>[6,4,1,2,3,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[5,4,1,2,3,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>[5,4,1,2,3,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[4,1,7,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[4,7,1,2,3,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>[4,1,6,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>[4,7,6,2,3,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[4,6,1,2,3,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>[4,6,7,2,3,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[4,7,1,2,3,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[4,6,1,2,3,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>[4,7,5,2,3,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>[4,1,5,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>[4,6,5,2,3,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[4,5,1,2,3,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>[4,5,7,2,3,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[4,5,1,2,3,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>[4,5,6,2,3,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[1,7,3,2,6,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[7,1,3,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[6,1,3,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>[7,1,3,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>[6,1,3,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>[1,5,3,2,6,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[5,1,3,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>[5,1,3,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>[5,6,3,2,1,7,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[7,1,3,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>[6,1,3,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>[6,7,3,2,1,4,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>[6,1,3,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>[1,5,3,2,7,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>[1,5,3,2,6,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>[5,1,3,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>[5,7,3,2,1,4,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[7,1,3,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>[1,6,3,2,4,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>[6,1,3,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>[7,1,3,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[6,1,3,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>[7,5,3,2,4,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[6,5,3,2,4,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>[5,7,3,2,4,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[5,1,3,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[5,6,3,2,4,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[4,1,3,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>[4,1,3,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>[4,6,3,2,1,7,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>[4,6,3,2,7,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>[4,1,3,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>[4,6,3,2,1,5,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>[4,1,3,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>[4,7,3,2,5,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[4,1,3,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>[4,6,3,2,5,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[4,5,3,2,1,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>[4,5,3,2,7,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[4,5,3,2,1,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[1,3,7,2,6,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[7,3,1,2,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>[1,3,6,2,7,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[6,3,1,2,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[1,3,7,2,5,6,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>[7,3,1,2,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>[1,3,6,2,5,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>[6,3,1,2,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>[1,3,5,2,7,6,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>[7,3,5,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>[1,3,5,2,6,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>[7,3,5,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>[6,3,5,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>[6,3,5,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[5,3,1,2,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>[5,3,1,2,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>[5,3,6,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,2,1,3,5,7]=>[4,2,6,7,5,3,1]=>[1,3,7,2,6,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>[1,3,6,2,7,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>[7,3,6,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>[6,3,1,2,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,2,3,1,5,7]=>[4,2,6,5,7,3,1]=>[1,3,7,2,5,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>[7,3,1,2,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>[1,3,6,2,5,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>[6,3,1,2,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[1,3,5,2,7,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>[7,3,5,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>[6,3,5,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>[5,3,1,2,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>[5,3,7,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>[5,3,1,2,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>[5,3,6,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[1,3,7,2,4,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>[7,3,1,2,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[1,3,6,2,4,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>[7,3,6,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[6,3,1,2,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>[6,3,7,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[1,3,7,2,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[1,3,6,2,4,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[7,3,6,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>[6,3,1,2,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[1,3,5,2,4,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[1,3,5,2,4,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[7,3,5,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>[6,3,5,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>[5,3,1,2,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>[5,3,7,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>[5,3,1,2,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>[5,3,6,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>[7,3,4,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>[7,3,4,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>[6,3,4,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>[6,3,4,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[1,3,4,2,7,5,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>[7,3,4,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[7,3,4,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>[6,3,4,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>[7,3,4,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>[7,3,4,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>[6,3,4,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>[5,3,4,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>[5,3,4,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>[5,3,4,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>[5,3,4,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[4,3,1,2,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>[4,3,1,2,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[4,3,6,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>[4,3,6,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>[4,3,1,2,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>[4,3,6,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>[4,3,1,2,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>[4,3,7,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>[4,3,1,2,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>[4,3,6,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>[4,3,5,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>[4,3,5,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>[4,3,5,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>[4,3,5,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[3,1,7,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[3,7,1,2,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>[3,1,6,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[3,6,1,2,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>[3,6,7,2,1,5,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,7,1,3,2,5,6]=>[4,1,7,5,6,3,2]=>[3,1,7,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[3,7,1,2,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>[3,1,6,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[3,6,1,2,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>[3,6,7,2,5,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>[3,1,5,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>[3,7,5,2,1,6,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>[3,1,5,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>[3,7,5,2,6,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>[3,6,5,2,1,7,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>[3,6,5,2,7,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>[3,5,7,2,1,6,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>[3,5,7,2,6,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>[3,5,6,2,1,7,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>[3,5,6,2,7,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[3,7,1,2,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>[3,7,6,2,1,4,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>[3,6,7,2,1,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>[3,1,7,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>[3,1,6,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>[3,6,1,2,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>[3,7,5,2,1,4,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>[3,1,5,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>[3,6,5,2,1,4,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>[3,5,7,2,1,4,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>[3,5,6,2,1,4,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,3,1,2,5,6]=>[4,1,5,7,6,3,2]=>[3,1,7,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[3,7,6,2,4,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[3,6,7,2,4,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[3,1,7,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[3,1,5,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>[3,7,5,2,4,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[3,1,5,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>[3,6,5,2,4,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[3,5,6,2,4,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>[3,1,4,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>[3,7,4,2,1,6,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>[3,1,4,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[3,7,4,2,6,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>[3,6,4,2,1,7,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>[3,6,4,2,7,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[3,1,4,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>[3,7,4,2,1,5,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[3,1,4,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>[3,6,4,2,1,5,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[3,1,4,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>[3,7,4,2,5,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>[3,1,4,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>[3,6,4,2,5,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>[3,5,4,2,1,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>[3,5,4,2,7,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>[3,5,4,2,1,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>[3,5,4,2,6,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>[3,4,7,2,1,6,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>[3,4,6,2,1,7,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[3,4,6,2,7,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>[3,4,7,2,1,5,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[3,4,6,2,1,5,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>[3,4,7,2,5,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>[3,4,6,2,5,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[3,4,5,2,1,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>[3,4,5,2,7,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>[3,4,5,2,1,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>[3,4,5,2,6,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[1,7,2,6,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[7,1,2,6,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[1,6,2,7,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[6,1,2,7,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[1,7,2,5,6,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[7,1,2,5,6,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>[1,6,2,5,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[6,1,2,5,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[1,5,2,7,6,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[5,1,2,6,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[5,6,2,1,7,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[5,6,2,7,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[1,7,2,6,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>[7,6,2,1,4,5,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[6,1,2,7,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>[6,7,2,1,4,5,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>[1,7,2,5,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>[7,1,2,5,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>[1,6,2,5,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>[6,1,2,5,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>[1,5,2,7,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>[7,5,2,1,4,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>[1,5,2,6,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>[6,5,2,1,4,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[5,1,2,7,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>[5,7,2,1,4,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>[5,1,2,6,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[5,6,2,1,4,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>[5,6,2,7,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[1,7,2,4,6,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[7,1,2,4,6,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[6,1,2,4,7,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>[1,6,2,4,5,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>[7,6,2,4,5,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[6,1,2,4,5,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>[6,7,2,4,5,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>[1,5,2,4,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>[7,5,2,4,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>[1,5,2,4,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>[7,5,2,4,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>[6,5,2,4,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>[6,5,2,4,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[5,1,2,4,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>[5,7,2,4,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[5,1,2,4,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>[5,7,2,4,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>[5,6,2,4,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[1,4,2,7,6,5,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[1,4,2,6,7,5,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>[7,4,2,1,5,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>[1,4,2,6,5,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>[6,4,2,1,5,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[1,4,2,5,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[7,4,2,5,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>[7,4,2,5,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>[6,4,2,5,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>[6,4,2,5,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>[5,4,2,1,6,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>[5,4,2,6,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>[5,4,2,6,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>[4,6,2,1,7,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>[4,7,2,1,5,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>[4,1,2,6,5,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,7,3,4,6,2]=>[3,7,1,5,4,2,6]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>[4,6,2,1,5,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>[4,6,2,7,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>[4,7,2,5,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>[4,7,2,5,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>[4,6,2,5,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>[4,6,2,5,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>[4,5,2,1,7,6,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>[4,5,2,7,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>[4,5,2,1,6,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>[4,5,2,7,6,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>[4,5,2,6,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>[4,5,2,6,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[7,1,2,6,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>[7,6,2,1,5,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>[6,7,2,1,5,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>[1,6,2,5,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>[7,6,2,5,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[6,1,2,5,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[6,7,2,5,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>[7,5,2,1,6,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>[7,5,2,6,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>[6,5,2,1,7,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>[6,5,2,7,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>[5,6,2,1,7,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>[7,1,2,6,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>[7,6,2,1,4,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>[6,1,2,7,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>[6,7,2,1,4,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[1,7,2,5,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[7,1,2,5,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[1,6,2,5,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[6,1,2,5,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[1,5,2,7,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>[7,5,2,1,4,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>[1,5,2,6,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>[6,5,2,1,4,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>[5,1,2,7,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[5,7,2,1,4,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>[5,1,2,6,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>[5,6,2,1,4,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[1,7,2,4,6,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[7,1,2,4,6,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>[7,6,2,4,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[6,1,2,4,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>[6,7,2,4,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[1,7,2,4,5,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[7,1,2,4,5,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>[1,6,2,4,5,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>[6,1,2,4,5,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>[1,5,2,4,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>[7,5,2,4,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>[1,5,2,4,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>[6,5,2,4,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[5,1,2,4,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>[5,1,2,4,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[1,4,2,7,6,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>[7,4,2,1,6,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>[1,4,2,6,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>[6,4,2,1,7,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>[1,4,2,7,5,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>[7,4,2,1,5,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>[1,4,2,6,5,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,2,6,3,4,7,1]=>[3,6,2,5,4,1,7]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>[6,4,2,1,5,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[1,4,2,5,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>[1,4,2,5,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>[6,4,2,5,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[5,4,2,1,7,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>[5,4,2,1,6,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>[5,4,2,6,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[4,1,2,7,6,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>[4,7,2,1,6,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[4,1,2,6,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>[4,7,2,6,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>[4,6,2,1,7,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>[4,1,2,7,5,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>[4,1,2,6,5,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>[4,6,2,1,5,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[4,1,2,5,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[4,7,2,5,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>[4,1,2,5,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>[4,6,2,5,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>[4,5,2,1,7,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[4,5,2,7,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>[4,5,2,1,6,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>[4,5,2,6,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[7,1,2,6,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[6,1,2,7,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>[1,6,2,5,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>[7,6,2,5,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>[6,1,2,5,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>[6,7,2,5,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>[7,5,2,1,3,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>[7,5,2,6,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>[6,5,2,1,3,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>[6,5,2,7,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>[5,7,2,6,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>[5,6,2,1,3,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]=>[5,6,2,7,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>[7,6,2,1,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>[6,7,2,1,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[7,1,2,5,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[6,1,2,5,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>[6,5,2,1,3,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,3,2,6,7,4,1]=>[3,5,6,2,1,4,7]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>[5,1,2,6,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>[5,6,2,1,3,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>[7,1,2,4,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>[1,6,2,4,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>[7,6,2,4,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>[6,1,2,4,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>[6,7,2,4,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[6,1,2,4,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[1,5,2,4,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>[7,5,2,4,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[7,5,2,4,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[6,5,2,4,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[5,1,2,4,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>[5,7,2,4,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[5,6,2,4,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>[7,4,2,1,3,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>[1,4,2,6,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>[7,4,2,6,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>[6,4,2,1,3,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>[6,4,2,7,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>[7,4,2,1,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>[1,4,2,5,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>[7,4,2,5,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>[7,4,2,5,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>[6,4,2,5,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[5,4,2,1,3,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>[5,4,2,7,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>[5,4,2,1,3,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>[5,4,2,6,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[4,1,2,7,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>[4,7,2,6,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[4,6,2,1,3,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>[4,6,2,7,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>[4,1,2,6,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>[4,1,2,5,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>[4,7,2,5,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>[4,1,2,5,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>[4,6,2,5,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>[4,5,2,1,3,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>[4,5,2,7,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>[4,5,2,1,3,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[1,7,2,3,6,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>[7,6,2,3,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[6,1,2,3,7,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[6,7,2,3,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>[1,6,2,3,5,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>[7,6,2,3,5,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>[6,7,2,3,5,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[7,5,2,3,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>[7,5,2,3,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>[6,5,2,3,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>[6,5,2,3,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>[5,7,2,3,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]=>[5,6,2,3,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[7,1,2,3,6,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>[7,6,2,3,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>[6,7,2,3,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>[7,1,2,3,5,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[7,6,2,3,5,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[6,1,2,3,5,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>[7,5,2,3,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>[6,5,2,3,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,2,6,7,3,1]=>[3,4,6,2,1,5,7]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[5,1,2,3,7,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>[5,7,2,3,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>[5,1,2,3,6,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[7,1,2,3,4,6,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>[7,6,2,3,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>[6,7,2,3,4,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[1,5,2,3,4,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>[7,5,2,3,4,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[7,5,2,3,4,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[6,5,2,3,4,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[5,1,2,3,4,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>[5,7,2,3,4,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[5,6,2,3,4,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>[7,4,2,3,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>[1,4,2,3,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>[7,4,2,3,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>[6,4,2,3,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>[6,4,2,3,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>[7,4,2,3,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[7,4,2,3,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>[6,4,2,3,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[1,4,2,3,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>[7,4,2,3,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[7,4,2,3,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[6,4,2,3,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[5,4,2,3,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>[5,4,2,3,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[5,4,2,3,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[5,4,2,3,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>[4,7,2,3,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>[4,7,2,3,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>[4,6,2,3,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>[4,6,2,3,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[4,7,2,3,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[4,6,2,3,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>[4,7,2,3,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[4,6,2,3,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>[4,5,2,3,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>[4,5,2,3,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[4,5,2,3,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[4,5,2,3,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>[7,3,2,1,5,6,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>[7,3,2,5,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>[6,3,2,5,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>[5,3,2,1,6,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>[7,3,2,6,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>[7,3,2,5,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>[7,3,2,1,4,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>[5,3,2,7,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>[5,3,2,6,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>[4,3,2,6,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>[4,3,2,7,5,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>[4,3,2,5,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[4,3,2,5,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[3,1,2,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[3,1,2,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>[3,6,2,7,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,1,3,2,4,6]=>[3,1,7,5,6,4,2]=>[3,1,2,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>[3,7,2,1,5,6,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>[3,1,2,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>[3,6,2,1,5,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[3,1,2,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>[3,7,2,5,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>[3,7,2,5,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>[3,6,2,5,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>[3,6,2,5,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>[3,5,2,1,7,6,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>[3,5,2,7,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>[3,5,2,1,6,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>[3,5,2,7,6,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>[3,5,2,6,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>[3,5,2,6,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[3,1,2,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>[3,7,2,1,6,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[3,1,2,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>[3,7,2,6,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>[3,6,2,1,7,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>[3,1,2,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>[3,7,2,1,5,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>[3,1,2,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>[3,6,2,1,5,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[3,1,2,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>[3,7,2,5,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>[3,1,2,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[3,6,2,5,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>[3,5,2,7,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>[3,5,2,1,6,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>[3,5,2,6,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,7,3,1,2,4,6]=>[3,1,5,7,6,4,2]=>[3,1,2,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>[3,7,2,1,4,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>[3,1,2,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>[3,7,2,6,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>[3,6,2,1,4,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>[3,6,2,7,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[3,1,2,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>[3,7,2,1,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>[3,1,2,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>[3,6,2,1,4,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[3,1,2,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[3,7,2,5,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>[3,1,2,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>[3,6,2,5,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[3,5,2,1,4,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[3,5,2,7,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>[3,5,2,1,4,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>[3,5,2,6,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>[3,7,2,4,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[3,1,2,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[3,7,2,4,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>[3,6,2,4,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>[3,7,2,4,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>[3,1,2,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>[3,6,2,4,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[3,1,2,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[3,7,2,4,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>[3,6,2,4,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[3,5,2,4,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>[3,5,2,4,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>[3,5,2,4,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>[3,5,2,4,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>[3,4,2,1,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>[3,4,2,7,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>[3,4,2,1,6,7,5]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>[3,4,2,7,6,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>[3,4,2,6,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>[3,4,2,6,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>[3,4,2,1,7,5,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>[3,4,2,7,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>[3,4,2,1,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>[3,4,2,6,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>[3,4,2,1,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>[3,4,2,7,5,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[3,4,2,1,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>[3,4,2,6,5,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>[3,4,2,5,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[3,4,2,5,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[3,4,2,5,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[3,4,2,5,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]
[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>[7,2,1,5,6,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>[6,2,1,5,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[7,2,5,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>[7,2,5,6,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>[6,2,5,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>[6,2,5,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[5,2,1,6,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[5,2,6,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[5,2,6,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>[7,2,1,6,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>[7,2,6,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>[6,2,1,7,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>[6,2,7,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>[7,2,1,5,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>[6,2,1,5,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>[7,2,5,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>[7,2,5,6,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>[6,2,5,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>[6,2,5,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>[5,2,1,7,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>[5,2,7,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>[5,2,1,6,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>[5,2,6,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>[5,2,6,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[7,2,1,4,6,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>[7,2,6,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>[6,2,1,4,7,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>[7,2,6,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>[6,2,1,4,5,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>[7,2,5,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>[6,2,5,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>[6,2,5,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>[5,2,1,4,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>[5,2,1,4,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,[[[.,.],.],.]],.]]]
[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[7,2,4,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>[7,2,4,6,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[6,2,4,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>[7,2,4,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>[7,2,4,6,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>[6,2,4,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>[6,2,4,7,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[7,2,4,5,6,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>[6,2,4,5,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>[6,2,4,5,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>[5,2,4,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>[5,2,4,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>[5,2,4,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>[5,2,4,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>[5,2,4,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>[5,2,4,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[4,2,1,6,7,5,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,1,7,2,4,5,3]=>[2,7,1,6,4,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[4,2,6,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[4,2,1,7,5,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>[4,2,1,6,5,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[4,2,6,7,5,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[4,2,1,5,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[4,2,7,5,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[4,2,1,5,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[4,2,7,5,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[4,2,6,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[4,2,5,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[4,2,5,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[7,2,1,6,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[7,2,6,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[6,2,1,7,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[7,2,1,5,6,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[7,2,6,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[6,2,1,5,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[7,2,5,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[7,2,5,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[6,2,5,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[5,2,1,7,6,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[5,2,1,6,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[5,2,7,6,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[7,2,1,6,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[7,2,6,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[6,2,1,7,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[6,2,7,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[7,2,1,5,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[6,2,1,5,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[1,2,5,7,4,3,6]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[7,2,5,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[6,2,5,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[5,2,1,7,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[5,2,7,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[5,2,1,6,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[5,2,6,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[7,2,1,4,6,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[7,2,6,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[6,2,1,4,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[7,2,1,4,5,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[6,2,1,4,5,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[7,2,5,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[6,2,5,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[5,2,1,4,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[5,2,1,4,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[1,2,4,7,6,3,5]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[7,2,4,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[7,2,4,6,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[6,2,4,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[6,2,4,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[7,2,4,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[6,2,4,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[7,2,4,5,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[6,2,4,5,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[5,2,4,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[5,2,4,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[5,2,4,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[5,2,4,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[4,2,1,7,6,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[4,2,1,6,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[4,2,7,6,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[4,2,1,7,5,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[4,2,1,6,5,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[4,2,1,5,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[4,2,7,5,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[4,2,1,5,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[7,2,1,6,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[7,2,6,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[6,2,1,7,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[7,2,1,5,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[7,2,6,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[6,2,1,5,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[6,2,7,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[5,2,1,7,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[5,2,1,6,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[5,2,7,6,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[5,2,6,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[5,2,6,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[7,2,1,6,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[6,2,1,7,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]=>[6,2,7,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[7,2,1,5,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[6,2,1,5,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[7,2,5,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[6,2,5,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[5,2,1,6,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[5,2,6,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[6,2,1,4,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[6,2,7,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[7,2,1,4,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[5,2,7,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[5,2,1,4,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[5,2,6,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[7,2,4,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[7,2,4,6,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[7,2,4,5,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[5,2,4,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[5,2,4,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[5,2,4,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[5,2,4,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[4,2,1,6,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[4,2,7,6,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[4,2,6,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[4,2,1,7,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[4,2,1,5,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[4,2,7,5,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[4,2,1,5,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[4,2,5,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[4,2,5,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[1,2,7,3,6,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[7,2,1,3,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[6,2,1,3,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[6,2,7,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[7,2,1,3,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[1,2,6,3,5,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[7,2,6,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[6,2,1,3,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[6,2,7,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[7,2,5,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[7,2,5,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[6,2,5,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[5,2,1,3,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[5,2,7,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[5,2,1,3,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[5,2,7,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[5,2,6,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[5,2,6,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[7,2,1,3,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[7,2,6,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[6,2,1,3,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]=>[6,2,7,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[7,2,1,3,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[6,2,1,3,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[7,2,5,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[6,2,5,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[5,2,1,3,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[5,2,7,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[5,2,1,3,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[5,2,6,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[6,2,1,3,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[6,2,7,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[7,2,1,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[6,2,1,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[7,2,5,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[6,2,5,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[5,2,1,3,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[5,2,7,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[5,2,1,3,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[5,2,6,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[4,2,1,3,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[4,2,7,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[4,2,1,3,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[4,2,7,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[4,2,6,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[4,2,6,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[4,2,1,3,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[4,2,7,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[4,2,6,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[4,2,1,3,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[4,2,7,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[4,2,1,3,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[4,2,6,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[4,2,5,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[4,2,5,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[4,2,5,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[7,2,3,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[7,2,3,6,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[7,2,3,5,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[7,2,3,5,6,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[5,2,3,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[7,2,3,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[7,2,3,6,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[7,2,3,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[7,2,3,5,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[6,2,3,5,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[5,2,3,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[5,2,3,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[7,2,3,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>[6,2,3,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>[5,2,3,7,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[5,2,3,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>[5,2,3,6,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>[4,2,3,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>[4,2,3,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>[4,2,3,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>[4,2,3,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>[4,2,3,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[4,2,3,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>[4,2,3,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[4,2,3,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[4,2,3,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[4,2,3,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[4,2,3,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[4,2,3,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>[3,2,6,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>[3,2,6,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>[3,2,7,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>[3,2,6,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>[3,2,6,7,5,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,1,4,2,3,5]=>[2,1,7,4,6,5,3]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>[3,2,7,5,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>[3,2,7,5,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>[3,2,6,5,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>[3,2,6,5,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,5,2,3,4]=>[2,1,7,3,6,5,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>[3,2,5,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>[3,2,5,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>[3,2,5,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>[3,2,7,6,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>[3,2,6,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>[3,2,6,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>[3,2,7,5,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>[3,2,6,5,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>[3,2,5,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>[3,2,5,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>[3,2,7,6,4,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>[3,2,6,7,4,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>[3,2,6,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>[3,2,7,5,4,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[3,2,5,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>[3,2,5,7,4,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>[3,2,5,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[3,2,5,6,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[3,2,7,4,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>[3,2,7,4,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>[3,2,6,4,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>[3,2,6,4,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>[3,2,7,4,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>[3,2,6,4,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>[3,2,7,4,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[3,2,6,4,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>[3,2,5,4,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[3,2,5,4,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>[3,2,4,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>[3,2,4,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>[3,2,4,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>[3,2,4,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>[3,2,4,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>[3,2,4,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>[3,2,4,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>[3,2,4,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[3,2,4,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[2,6,1,7,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[2,7,1,5,6,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[2,6,1,5,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[2,1,5,7,6,4,3]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[2,7,5,1,6,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>[2,7,5,6,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[2,6,5,1,7,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[2,5,1,7,6,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[2,5,1,6,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[2,7,1,6,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>[2,7,6,1,4,5,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[2,6,1,7,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>[2,7,1,5,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>[2,6,1,5,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>[2,7,5,1,4,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>[2,1,5,6,4,7,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>[2,7,5,6,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>[2,6,5,1,4,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[2,5,1,7,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>[2,5,1,6,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[2,7,1,4,6,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>[2,7,6,4,1,5,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[2,6,1,4,7,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[2,7,1,4,5,6,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>[2,7,6,4,5,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[2,6,1,4,5,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>[2,7,5,4,1,6,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>[2,7,5,4,6,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[2,5,1,4,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[2,5,1,4,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[2,1,4,6,7,5,3]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>[2,7,4,6,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>[2,7,4,1,5,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>[2,7,4,6,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[2,6,4,1,5,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[2,7,4,5,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>[2,7,4,5,6,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>[2,5,4,1,7,6,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>[2,5,4,1,6,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[2,4,1,7,6,5,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[2,4,1,6,7,5,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[2,4,1,7,5,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>[2,4,1,6,5,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[2,4,1,5,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[2,7,6,1,5,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[2,6,1,7,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[2,6,1,5,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[2,1,5,7,6,3,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>[2,7,5,1,6,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>[2,7,5,6,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>[2,6,5,1,7,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[2,5,1,7,6,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[2,5,1,6,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>[2,7,1,6,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>[2,6,1,7,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>[2,7,1,5,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[2,6,1,5,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>[2,7,5,1,4,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>[2,6,5,1,4,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[2,5,1,7,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>[2,5,1,6,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[2,7,1,4,6,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>[2,7,6,4,1,3,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>[2,7,1,4,5,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>[2,6,1,4,5,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>[2,6,5,4,1,3,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[2,5,1,4,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>[2,5,1,4,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[2,1,4,7,6,3,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>[2,7,4,6,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>[2,6,4,1,7,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>[2,1,4,7,5,3,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>[2,7,4,1,5,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>[2,6,4,1,5,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>[2,6,4,5,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[2,5,4,1,7,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>[2,5,4,1,6,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[2,4,1,7,6,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[2,4,1,6,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>[2,4,1,7,5,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[2,4,1,5,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>[2,4,1,5,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[2,7,1,6,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[2,7,6,1,3,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>[2,7,1,5,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[2,1,6,5,3,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>[2,7,6,5,3,1,4]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[2,7,5,1,3,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[2,7,5,6,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[2,5,1,7,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>[2,5,1,6,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[2,7,1,6,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[2,6,1,7,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[2,7,1,5,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[2,1,6,5,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[2,6,1,5,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>[2,7,5,1,3,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>[2,6,5,1,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[2,5,1,7,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[2,5,1,6,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>[2,7,1,4,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>[2,7,6,4,3,1,5]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>[2,7,1,4,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>[2,7,5,4,3,1,6]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>[2,5,1,4,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>[2,5,1,4,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[2,1,4,7,3,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>[2,7,4,1,3,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>[2,7,4,6,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>[2,7,4,1,3,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>[2,7,4,5,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>[2,5,4,1,3,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>[2,5,4,1,3,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[2,4,1,7,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>[2,4,1,5,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[2,1,7,3,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[2,7,1,3,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[2,1,6,3,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>[2,7,6,3,1,5,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[2,6,1,3,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[2,7,1,3,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>[2,1,6,3,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>[2,7,6,3,5,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[2,6,1,3,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[2,7,5,3,1,6,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>[2,7,5,3,6,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>[2,6,5,3,1,7,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[2,7,1,3,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>[2,7,6,3,1,4,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[2,6,1,3,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>[2,7,1,3,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[2,6,1,3,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>[2,7,5,3,1,4,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>[2,6,5,3,1,4,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[2,5,1,3,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>[2,5,1,3,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[2,7,1,3,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>[2,7,6,3,4,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[2,6,1,3,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>[2,7,5,3,4,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[2,5,1,3,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[2,5,1,3,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>[2,7,4,3,1,6,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>[2,7,4,3,6,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>[2,6,4,3,1,7,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>[2,7,4,3,1,5,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>[2,6,4,3,1,5,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>[2,7,4,3,5,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[2,4,1,3,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[2,4,1,3,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[2,4,1,3,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[2,4,1,3,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[2,4,1,3,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[2,7,3,1,6,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>[2,7,3,6,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[2,6,3,1,7,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>[2,7,3,1,5,6,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>[2,7,3,6,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[2,7,3,5,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>[2,7,3,5,6,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>[2,6,3,5,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[2,5,3,1,7,6,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[2,5,3,1,6,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>[2,7,3,1,6,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>[2,7,3,6,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>[2,6,3,1,7,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>[2,7,3,1,5,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[2,6,3,1,5,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>[2,7,3,5,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>[2,6,3,5,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[2,5,3,1,7,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[2,5,3,1,6,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[2,7,3,1,4,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>[2,7,3,6,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>[2,6,3,1,4,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>[2,7,3,1,4,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[2,6,3,1,4,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>[2,7,3,5,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[2,5,3,1,4,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>[2,5,3,1,4,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[2,7,3,4,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>[2,7,3,4,6,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[2,6,3,4,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>[2,7,3,4,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[2,6,3,4,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[2,7,3,4,5,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[2,3,1,6,7,5,4]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[2,3,1,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[2,3,1,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[2,3,1,5,7,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>[2,3,1,5,6,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[2,3,1,6,4,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[8,3,1,2,6,4,5,7]=>[1,6,8,7,3,5,4,2]=>[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[2,8,4,5,1,7,3,6]=>[7,1,5,4,8,2,6,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[1,5,6,3,4,8,7,2]=>[8,4,3,6,5,1,2,7]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[7,1,5,4,8,2,6,3]=>[2,8,4,5,1,7,3,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,1,7,2,8,4,6,3]=>[4,8,2,7,1,5,3,6]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,1,2,7,8,5,6,3]=>[5,8,7,2,1,4,3,6]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[4,8,2,7,1,5,3,6]=>[5,1,7,2,8,4,6,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,8,7,2,1,4,3,6]=>[4,1,2,7,8,5,6,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,6,8,7,3,5,4,2]=>[8,3,1,2,6,4,5,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,8,2,6,4,7,5]=>[8,6,1,7,3,5,2,4]=>[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
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
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
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.