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]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>[5,3,2,4,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>[5,4,2,3,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,7,8,4,5,3,2,1]=>[3,2,1,5,4,6,7,8]=>[4,3,2,6,5,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[8,7,5,4,6,3,2,1]=>[1,2,4,5,3,6,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,4,5,6,3,2,1]=>[1,2,5,4,3,6,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,6,5,4,7,3,2,1]=>[1,3,4,5,2,6,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,4,5,6,7,3,2,1]=>[1,5,4,3,2,6,7,8]=>[2,6,5,4,3,7,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>[6,2,3,4,5,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>[6,2,3,5,4,7,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>[6,3,2,5,4,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>[6,2,5,4,3,7,8,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>[6,5,2,3,4,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>[6,5,3,2,4,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>[6,5,2,4,3,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[6,5,4,2,3,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[6,7,8,5,3,4,2,1]=>[3,2,1,4,6,5,7,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,5,7,8,3,4,2,1]=>[3,4,2,1,6,5,7,8]=>[5,4,2,3,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>[5,4,3,2,7,6,8,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,8,6,4,3,5,2,1]=>[2,1,3,5,6,4,7,8]=>[3,2,4,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,6,7,4,3,5,2,1]=>[1,3,2,5,6,4,7,8]=>[2,4,3,7,5,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,6,8,4,3,5,2,1]=>[2,3,1,5,6,4,7,8]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>[4,3,2,7,5,6,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[8,7,6,3,4,5,2,1]=>[1,2,3,6,5,4,7,8]=>[2,3,4,7,6,5,8,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[7,8,6,3,4,5,2,1]=>[2,1,3,6,5,4,7,8]=>[3,2,4,7,6,5,8,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[8,6,7,3,4,5,2,1]=>[1,3,2,6,5,4,7,8]=>[2,4,3,7,6,5,8,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>[4,2,3,7,6,5,8,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[6,7,8,3,4,5,2,1]=>[3,2,1,6,5,4,7,8]=>[4,3,2,7,6,5,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,4,5,3,6,2,1]=>[1,2,5,4,6,3,7,8]=>[2,3,7,5,4,6,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,7,5,3,4,6,2,1]=>[1,2,4,6,5,3,7,8]=>[2,3,7,4,6,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>[3,2,7,4,6,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[2,3,7,6,4,5,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>[3,2,7,6,4,5,8,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[2,3,7,6,5,4,8,1]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[8,5,6,4,3,7,2,1]=>[1,4,3,5,6,2,7,8]=>[2,7,4,3,5,6,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[8,6,4,5,3,7,2,1]=>[1,3,5,4,6,2,7,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>[2,7,5,4,3,6,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>[2,7,4,3,6,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[8,3,4,5,6,7,2,1]=>[1,6,5,4,3,2,7,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[7,6,5,4,3,8,2,1]=>[2,3,4,5,6,1,7,8]=>[7,2,3,4,5,6,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,4,3,8,2,1]=>[3,2,4,5,6,1,7,8]=>[7,3,2,4,5,6,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,4,3,8,2,1]=>[4,3,2,5,6,1,7,8]=>[7,4,3,2,5,6,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,5,4,7,3,8,2,1]=>[3,4,5,2,6,1,7,8]=>[7,5,2,3,4,6,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,6,4,7,3,8,2,1]=>[4,3,5,2,6,1,7,8]=>[7,5,3,2,4,6,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>[7,5,2,4,3,6,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>[7,5,4,2,3,6,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>[7,5,4,3,2,6,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[7,5,6,3,4,8,2,1]=>[2,4,3,6,5,1,7,8]=>[7,2,4,3,6,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>[7,4,3,2,6,5,8,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>[7,2,6,3,4,5,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,4,5,3,6,8,2,1]=>[2,5,4,6,3,1,7,8]=>[7,2,6,4,3,5,8,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>[7,2,6,3,5,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>[7,6,2,3,4,5,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,6,4,3,7,8,2,1]=>[4,3,5,6,2,1,7,8]=>[7,6,3,2,4,5,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[5,4,6,3,7,8,2,1]=>[4,5,3,6,2,1,7,8]=>[7,6,4,2,3,5,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>[7,6,5,2,3,4,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>[7,6,5,3,2,4,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>[7,6,5,4,2,3,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[3,4,5,6,7,8,2,1]=>[6,5,4,3,2,1,7,8]=>[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[7,8,6,5,4,2,3,1]=>[2,1,3,4,5,7,6,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[7,6,8,5,4,2,3,1]=>[2,3,1,4,5,7,6,8]=>[4,2,3,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[6,7,8,5,4,2,3,1]=>[3,2,1,4,5,7,6,8]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[8,6,5,7,4,2,3,1]=>[1,3,4,2,5,7,6,8]=>[2,5,3,4,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>[5,4,3,2,6,8,7,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[7,8,6,4,5,2,3,1]=>[2,1,3,5,4,7,6,8]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>[4,2,3,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>[4,3,2,6,5,8,7,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[8,7,5,4,6,2,3,1]=>[1,2,4,5,3,7,6,8]=>[2,3,6,4,5,8,7,1]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[7,8,4,5,6,2,3,1]=>[2,1,5,4,3,7,6,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[8,6,5,4,7,2,3,1]=>[1,3,4,5,2,7,6,8]=>[2,6,3,4,5,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>[2,6,4,3,5,8,7,1]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[8,6,4,5,7,2,3,1]=>[1,3,5,4,2,7,6,8]=>[2,6,3,5,4,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[8,4,5,6,7,2,3,1]=>[1,5,4,3,2,7,6,8]=>[2,6,5,4,3,8,7,1]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]
[7,6,5,4,8,2,3,1]=>[2,3,4,5,1,7,6,8]=>[6,2,3,4,5,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,7,4,8,2,3,1]=>[4,3,2,5,1,7,6,8]=>[6,4,3,2,5,8,7,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[6,7,4,5,8,2,3,1]=>[3,2,5,4,1,7,6,8]=>[6,3,2,5,4,8,7,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>[6,5,4,3,2,8,7,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,8,6,5,3,2,4,1]=>[2,1,3,4,6,7,5,8]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[8,6,7,5,3,2,4,1]=>[1,3,2,4,6,7,5,8]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>[2,3,5,4,8,6,7,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[7,8,5,6,3,2,4,1]=>[2,1,4,3,6,7,5,8]=>[3,2,5,4,8,6,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[2,5,3,4,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>[2,5,4,3,8,6,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[7,6,5,8,3,2,4,1]=>[2,3,4,1,6,7,5,8]=>[5,2,3,4,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>[5,4,3,2,8,6,7,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[2,5,4,3,8,7,6,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>[5,4,3,2,8,7,6,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[8,6,7,4,3,2,5,1]=>[1,3,2,5,6,7,4,8]=>[2,4,3,8,5,6,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
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[5,4,6,2,3,7,8,1]=>[4,5,3,7,6,2,1,8]=>[8,7,4,2,3,6,5,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>[8,7,2,3,6,5,4,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>[8,7,2,6,3,5,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,5,3,2,6,7,8,1]=>[5,4,6,7,3,2,1,8]=>[8,7,6,3,2,4,5,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>[8,7,6,4,3,2,5,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[4,5,2,3,6,7,8,1]=>[5,4,7,6,3,2,1,8]=>[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>[8,7,6,2,5,3,4,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>[8,7,6,2,5,4,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>[8,7,6,5,3,2,4,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>[8,7,6,5,2,4,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,1,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[3,2,4,5,6,7,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[8,6,7,5,4,3,1,2]=>[1,3,2,4,5,6,8,7]=>[2,4,3,5,6,7,1,8]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[7,6,8,5,4,3,1,2]=>[2,3,1,4,5,6,8,7]=>[4,2,3,5,6,7,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[6,7,8,5,4,3,1,2]=>[3,2,1,4,5,6,8,7]=>[4,3,2,5,6,7,1,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>[2,3,5,4,6,7,1,8]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[7,6,5,8,4,3,1,2]=>[2,3,4,1,5,6,8,7]=>[5,2,3,4,6,7,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[7,5,6,8,4,3,1,2]=>[2,4,3,1,5,6,8,7]=>[5,2,4,3,6,7,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[8,7,6,4,5,3,1,2]=>[1,2,3,5,4,6,8,7]=>[2,3,4,6,5,7,1,8]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[8,6,7,4,5,3,1,2]=>[1,3,2,5,4,6,8,7]=>[2,4,3,6,5,7,1,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>[3,2,6,5,4,7,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[6,5,7,4,8,3,1,2]=>[3,4,2,5,1,6,8,7]=>[6,4,2,3,5,7,1,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[7,6,4,5,8,3,1,2]=>[2,3,5,4,1,6,8,7]=>[6,2,3,5,4,7,1,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>[6,3,2,5,4,7,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>[6,2,5,3,4,7,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[7,4,5,6,8,3,1,2]=>[2,5,4,3,1,6,8,7]=>[6,2,5,4,3,7,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[5,6,4,7,8,3,1,2]=>[4,3,5,2,1,6,8,7]=>[6,5,3,2,4,7,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>[6,5,4,3,2,7,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>[2,3,4,5,7,6,1,8]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[6,7,8,5,3,4,1,2]=>[3,2,1,4,6,5,8,7]=>[4,3,2,5,7,6,1,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[3,2,5,4,7,6,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]=>[5,2,3,4,7,6,1,8]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>[5,3,2,4,7,6,1,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[7,5,6,8,3,4,1,2]=>[2,4,3,1,6,5,8,7]=>[5,2,4,3,7,6,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>[5,4,2,3,7,6,1,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>[5,4,3,2,7,6,1,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>[2,3,4,7,5,6,1,8]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>[2,3,4,7,6,5,1,8]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[3,2,7,4,5,6,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[8,7,4,5,3,6,1,2]=>[1,2,5,4,6,3,8,7]=>[2,3,7,5,4,6,1,8]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[7,8,4,5,3,6,1,2]=>[2,1,5,4,6,3,8,7]=>[3,2,7,5,4,6,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[7,8,5,3,4,6,1,2]=>[2,1,4,6,5,3,8,7]=>[3,2,7,4,6,5,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[3,2,7,6,4,5,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[8,7,3,4,5,6,1,2]=>[1,2,6,5,4,3,8,7]=>[2,3,7,6,5,4,1,8]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[3,2,7,6,5,4,1,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[8,6,5,4,3,7,1,2]=>[1,3,4,5,6,2,8,7]=>[2,7,3,4,5,6,1,8]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[8,6,4,3,5,7,1,2]=>[1,3,5,6,4,2,8,7]=>[2,7,3,6,4,5,1,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,6,3,4,5,7,1,2]=>[1,3,6,5,4,2,8,7]=>[2,7,3,6,5,4,1,8]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[8,3,4,5,6,7,1,2]=>[1,6,5,4,3,2,8,7]=>[2,7,6,5,4,3,1,8]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]=>[7,2,3,4,5,6,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,7,4,3,8,1,2]=>[3,4,2,5,6,1,8,7]=>[7,4,2,3,5,6,1,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[6,7,4,5,3,8,1,2]=>[3,2,5,4,6,1,8,7]=>[7,3,2,5,4,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[7,5,4,6,3,8,1,2]=>[2,4,5,3,6,1,8,7]=>[7,2,5,3,4,6,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[7,4,5,6,3,8,1,2]=>[2,5,4,3,6,1,8,7]=>[7,2,5,4,3,6,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[5,6,4,7,3,8,1,2]=>[4,3,5,2,6,1,8,7]=>[7,5,3,2,4,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>[7,5,4,3,2,6,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[7,6,5,3,4,8,1,2]=>[2,3,4,6,5,1,8,7]=>[7,2,3,4,6,5,1,8]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[7,5,6,3,4,8,1,2]=>[2,4,3,6,5,1,8,7]=>[7,2,4,3,6,5,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[5,6,7,3,4,8,1,2]=>[4,3,2,6,5,1,8,7]=>[7,4,3,2,6,5,1,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[7,6,3,4,5,8,1,2]=>[2,3,6,5,4,1,8,7]=>[7,2,3,6,5,4,1,8]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[7,5,4,3,6,8,1,2]=>[2,4,5,6,3,1,8,7]=>[7,2,6,3,4,5,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[7,3,4,5,6,8,1,2]=>[2,6,5,4,3,1,8,7]=>[7,2,6,5,4,3,1,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>[7,6,2,3,4,5,1,8]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[5,6,4,3,7,8,1,2]=>[4,3,5,6,2,1,8,7]=>[7,6,3,2,4,5,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[6,4,5,3,7,8,1,2]=>[3,5,4,6,2,1,8,7]=>[7,6,2,4,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[5,4,6,3,7,8,1,2]=>[4,5,3,6,2,1,8,7]=>[7,6,4,2,3,5,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[6,5,3,4,7,8,1,2]=>[3,4,6,5,2,1,8,7]=>[7,6,2,3,5,4,1,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>[7,6,3,2,5,4,1,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[6,4,3,5,7,8,1,2]=>[3,5,6,4,2,1,8,7]=>[7,6,2,5,3,4,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,3,4,5,7,8,1,2]=>[3,6,5,4,2,1,8,7]=>[7,6,2,5,4,3,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>[7,6,5,2,3,4,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[4,5,3,6,7,8,1,2]=>[5,4,6,3,2,1,8,7]=>[7,6,5,3,2,4,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[4,3,5,6,7,8,1,2]=>[5,6,4,3,2,1,8,7]=>[7,6,5,4,2,3,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,6,1,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,8,6,5,4,2,1,3]=>[2,1,3,4,5,7,8,6]=>[3,2,4,5,6,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[4,2,3,5,6,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>[4,3,2,5,6,1,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[7,6,5,8,4,2,1,3]=>[2,3,4,1,5,7,8,6]=>[5,2,3,4,6,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,1,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>[2,3,4,6,5,1,7,8]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>[2,4,3,6,5,1,7,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[6,7,8,4,5,2,1,3]=>[3,2,1,5,4,7,8,6]=>[4,3,2,6,5,1,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[8,7,5,4,6,2,1,3]=>[1,2,4,5,3,7,8,6]=>[2,3,6,4,5,1,7,8]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[7,8,5,4,6,2,1,3]=>[2,1,4,5,3,7,8,6]=>[3,2,6,4,5,1,7,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>[2,3,6,5,4,1,7,8]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[8,6,5,4,7,2,1,3]=>[1,3,4,5,2,7,8,6]=>[2,6,3,4,5,1,7,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[8,5,4,6,7,2,1,3]=>[1,4,5,3,2,7,8,6]=>[2,6,5,3,4,1,7,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[7,6,5,4,8,2,1,3]=>[2,3,4,5,1,7,8,6]=>[6,2,3,4,5,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[5,6,7,4,8,2,1,3]=>[4,3,2,5,1,7,8,6]=>[6,4,3,2,5,1,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[7,6,4,5,8,2,1,3]=>[2,3,5,4,1,7,8,6]=>[6,2,3,5,4,1,7,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>[6,3,2,5,4,1,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,5,4,7,8,2,1,3]=>[3,4,5,2,1,7,8,6]=>[6,5,2,3,4,1,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>[6,5,4,3,2,1,7,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,6,1,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,6,7,5,4,1,2,3]=>[1,3,2,4,5,8,7,6]=>[2,4,3,5,6,1,8,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[7,6,8,5,4,1,2,3]=>[2,3,1,4,5,8,7,6]=>[4,2,3,5,6,1,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[4,3,2,5,6,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[7,8,5,6,4,1,2,3]=>[2,1,4,3,5,8,7,6]=>[3,2,5,4,6,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>[2,5,4,3,6,1,8,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[7,6,5,8,4,1,2,3]=>[2,3,4,1,5,8,7,6]=>[5,2,3,4,6,1,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[7,5,6,8,4,1,2,3]=>[2,4,3,1,5,8,7,6]=>[5,2,4,3,6,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,5,7,8,4,1,2,3]=>[3,4,2,1,5,8,7,6]=>[5,4,2,3,6,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>[5,4,3,2,6,1,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>[2,4,3,6,5,1,8,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[6,7,8,4,5,1,2,3]=>[3,2,1,5,4,8,7,6]=>[4,3,2,6,5,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>[2,3,6,4,5,1,8,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[7,8,5,4,6,1,2,3]=>[2,1,4,5,3,8,7,6]=>[3,2,6,4,5,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,7,4,5,6,1,2,3]=>[1,2,5,4,3,8,7,6]=>[2,3,6,5,4,1,8,7]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[7,8,4,5,6,1,2,3]=>[2,1,5,4,3,8,7,6]=>[3,2,6,5,4,1,8,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[8,5,6,4,7,1,2,3]=>[1,4,3,5,2,8,7,6]=>[2,6,4,3,5,1,8,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[8,6,4,5,7,1,2,3]=>[1,3,5,4,2,8,7,6]=>[2,6,3,5,4,1,8,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[8,5,4,6,7,1,2,3]=>[1,4,5,3,2,8,7,6]=>[2,6,5,3,4,1,8,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[8,4,5,6,7,1,2,3]=>[1,5,4,3,2,8,7,6]=>[2,6,5,4,3,1,8,7]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>[6,2,3,4,5,1,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>[6,2,4,3,5,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>[6,4,2,3,5,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>[6,4,3,2,5,1,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>[6,2,3,5,4,1,8,7]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>[6,3,2,5,4,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>[6,2,5,3,4,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>[6,2,5,4,3,1,8,7]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>[6,5,3,2,4,1,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>[6,5,4,2,3,1,8,7]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[2,3,4,5,1,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>[3,2,4,5,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>[2,4,3,5,1,6,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]=>[4,2,3,5,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[6,7,8,5,3,2,1,4]=>[3,2,1,4,6,7,8,5]=>[4,3,2,5,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>[2,3,5,4,1,6,7,8]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]=>[3,2,5,4,1,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[8,6,5,7,3,2,1,4]=>[1,3,4,2,6,7,8,5]=>[2,5,3,4,1,6,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>[2,5,4,3,1,6,7,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[5,2,3,4,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[6,7,5,8,3,2,1,4]=>[3,2,4,1,6,7,8,5]=>[5,3,2,4,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[7,5,6,8,3,2,1,4]=>[2,4,3,1,6,7,8,5]=>[5,2,4,3,1,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>[5,4,2,3,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>[2,3,4,5,1,7,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,6,7,5,2,3,1,4]=>[1,3,2,4,7,6,8,5]=>[2,4,3,5,1,7,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,8,5,6,2,3,1,4]=>[2,1,4,3,7,6,8,5]=>[3,2,5,4,1,7,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5]=>[5,3,2,4,1,7,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[5,2,4,3,1,7,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>[5,4,3,2,1,7,6,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[2,3,4,5,1,6,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>[2,3,5,4,1,6,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>[3,2,5,4,1,6,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[8,5,6,7,3,1,2,4]=>[1,4,3,2,6,8,7,5]=>[2,5,4,3,1,6,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[7,6,5,8,3,1,2,4]=>[2,3,4,1,6,8,7,5]=>[5,2,3,4,1,6,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[5,3,2,4,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[7,5,6,8,3,1,2,4]=>[2,4,3,1,6,8,7,5]=>[5,2,4,3,1,6,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,5,7,8,3,1,2,4]=>[3,4,2,1,6,8,7,5]=>[5,4,2,3,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>[5,4,3,2,1,6,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[2,3,4,5,1,8,6,7]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,8,6,5,2,1,3,4]=>[2,1,3,4,7,8,6,5]=>[3,2,4,5,1,8,6,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[8,6,7,5,2,1,3,4]=>[1,3,2,4,7,8,6,5]=>[2,4,3,5,1,8,6,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>[4,2,3,5,1,8,6,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>[4,3,2,5,1,8,6,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>[2,3,5,4,1,8,6,7]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>[3,2,5,4,1,8,6,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>[2,5,3,4,1,8,6,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,5,6,7,2,1,3,4]=>[1,4,3,2,7,8,6,5]=>[2,5,4,3,1,8,6,7]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[7,6,5,8,2,1,3,4]=>[2,3,4,1,7,8,6,5]=>[5,2,3,4,1,8,6,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[5,4,2,3,1,8,6,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>[5,4,3,2,1,8,6,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[2,3,4,5,1,8,7,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>[3,2,4,5,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>[2,4,3,5,1,8,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>[4,2,3,5,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>[4,3,2,5,1,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>[2,3,5,4,1,8,7,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[3,2,5,4,1,8,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>[2,5,3,4,1,8,7,6]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>[2,5,4,3,1,8,7,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>[5,2,3,4,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>[5,3,2,4,1,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>[5,2,4,3,1,8,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>[5,4,2,3,1,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[5,4,3,2,1,8,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[2,3,4,1,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,8,6,4,3,2,1,5]=>[2,1,3,5,6,7,8,4]=>[3,2,4,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[8,6,7,4,3,2,1,5]=>[1,3,2,5,6,7,8,4]=>[2,4,3,1,5,6,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>[4,2,3,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>[2,3,4,1,6,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[7,8,6,3,4,2,1,5]=>[2,1,3,6,5,7,8,4]=>[3,2,4,1,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[8,6,7,3,4,2,1,5]=>[1,3,2,6,5,7,8,4]=>[2,4,3,1,6,5,7,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[7,6,8,3,4,2,1,5]=>[2,3,1,6,5,7,8,4]=>[4,2,3,1,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>[4,3,2,1,6,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>[2,3,4,1,5,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,8,6,4,2,3,1,5]=>[2,1,3,5,7,6,8,4]=>[3,2,4,1,5,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,6,8,4,2,3,1,5]=>[2,3,1,5,7,6,8,4]=>[4,2,3,1,5,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>[4,3,2,1,5,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>[2,3,4,1,7,5,6,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[7,8,6,3,2,4,1,5]=>[2,1,3,6,7,5,8,4]=>[3,2,4,1,7,5,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>[4,3,2,1,7,5,6,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>[2,3,4,1,7,6,5,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,6,8,2,3,4,1,5]=>[2,3,1,7,6,5,8,4]=>[4,2,3,1,7,6,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>[4,3,2,1,7,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[2,3,4,1,5,6,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[7,8,6,4,3,1,2,5]=>[2,1,3,5,6,8,7,4]=>[3,2,4,1,5,6,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>[4,3,2,1,5,6,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>[2,3,4,1,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,8,6,3,4,1,2,5]=>[2,1,3,6,5,8,7,4]=>[3,2,4,1,6,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>[2,4,3,1,6,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>[4,2,3,1,6,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[2,3,4,1,5,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,8,6,4,2,1,3,5]=>[2,1,3,5,7,8,6,4]=>[3,2,4,1,5,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,6,8,4,2,1,3,5]=>[2,3,1,5,7,8,6,4]=>[4,2,3,1,5,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>[4,3,2,1,5,8,6,7]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[2,3,4,1,5,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[7,8,6,4,1,2,3,5]=>[2,1,3,5,8,7,6,4]=>[3,2,4,1,5,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[8,6,7,4,1,2,3,5]=>[1,3,2,5,8,7,6,4]=>[2,4,3,1,5,8,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[7,6,8,4,1,2,3,5]=>[2,3,1,5,8,7,6,4]=>[4,2,3,1,5,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>[4,3,2,1,5,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[2,3,4,1,8,5,6,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[7,8,6,3,2,1,4,5]=>[2,1,3,6,7,8,5,4]=>[3,2,4,1,8,5,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[8,6,7,3,2,1,4,5]=>[1,3,2,6,7,8,5,4]=>[2,4,3,1,8,5,6,7]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>[4,2,3,1,8,5,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>[4,3,2,1,8,5,6,7]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>[2,3,4,1,8,6,5,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,8,6,2,3,1,4,5]=>[2,1,3,7,6,8,5,4]=>[3,2,4,1,8,6,5,7]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>[4,3,2,1,8,6,5,7]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[2,3,4,1,8,5,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>[3,2,4,1,8,5,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>[2,4,3,1,8,5,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>[4,2,3,1,8,5,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>[4,3,2,1,8,5,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[2,3,4,1,8,7,5,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>[3,2,4,1,8,7,5,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[8,6,7,2,1,3,4,5]=>[1,3,2,7,8,6,5,4]=>[2,4,3,1,8,7,5,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[7,6,8,2,1,3,4,5]=>[2,3,1,7,8,6,5,4]=>[4,2,3,1,8,7,5,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>[4,3,2,1,8,7,5,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[2,3,4,1,8,7,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>[3,2,4,1,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>[2,4,3,1,8,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>[4,2,3,1,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]=>[2,3,1,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,8,5,4,3,2,1,6]=>[2,1,4,5,6,7,8,3]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,7,4,5,3,2,1,6]=>[1,2,5,4,6,7,8,3]=>[2,3,1,5,4,6,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,7,4,3,5,2,1,6]=>[1,2,5,6,4,7,8,3]=>[2,3,1,6,4,5,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,8,4,3,5,2,1,6]=>[2,1,5,6,4,7,8,3]=>[3,2,1,6,4,5,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,7,3,4,5,2,1,6]=>[1,2,6,5,4,7,8,3]=>[2,3,1,6,5,4,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,8,3,4,5,2,1,6]=>[2,1,6,5,4,7,8,3]=>[3,2,1,6,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,8,5,4,2,3,1,6]=>[2,1,4,5,7,6,8,3]=>[3,2,1,4,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>[3,2,1,5,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,7,5,3,2,4,1,6]=>[1,2,4,6,7,5,8,3]=>[2,3,1,4,7,5,6,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>[3,2,1,4,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>[3,2,1,7,4,5,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[7,8,3,4,2,5,1,6]=>[2,1,6,5,7,4,8,3]=>[3,2,1,7,5,4,6,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,8,4,2,3,5,1,6]=>[2,1,5,7,6,4,8,3]=>[3,2,1,7,4,6,5,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,8,3,2,4,5,1,6]=>[2,1,6,7,5,4,8,3]=>[3,2,1,7,6,4,5,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,8,2,3,4,5,1,6]=>[2,1,7,6,5,4,8,3]=>[3,2,1,7,6,5,4,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[8,7,5,4,3,1,2,6]=>[1,2,4,5,6,8,7,3]=>[2,3,1,4,5,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>[3,2,1,4,5,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[8,7,5,3,4,1,2,6]=>[1,2,4,6,5,8,7,3]=>[2,3,1,4,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,7,3,4,5,1,2,6]=>[1,2,6,5,4,8,7,3]=>[2,3,1,6,5,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,7,5,4,2,1,3,6]=>[1,2,4,5,7,8,6,3]=>[2,3,1,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,8,5,4,1,2,3,6]=>[2,1,4,5,8,7,6,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[8,7,5,3,2,1,4,6]=>[1,2,4,6,7,8,5,3]=>[2,3,1,4,8,5,6,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>[3,2,1,4,8,5,6,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,8,5,3,1,2,4,6]=>[2,1,4,6,8,7,5,3]=>[3,2,1,4,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[2,3,1,4,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>[3,2,1,4,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[2,3,1,8,4,5,6,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>[3,2,1,8,4,5,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,7,3,4,2,1,5,6]=>[1,2,6,5,7,8,4,3]=>[2,3,1,8,5,4,6,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,8,3,4,2,1,5,6]=>[2,1,6,5,7,8,4,3]=>[3,2,1,8,5,4,6,7]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,8,4,2,3,1,5,6]=>[2,1,5,7,6,8,4,3]=>[3,2,1,8,4,6,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,7,3,2,4,1,5,6]=>[1,2,6,7,5,8,4,3]=>[2,3,1,8,6,4,5,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,8,3,2,4,1,5,6]=>[2,1,6,7,5,8,4,3]=>[3,2,1,8,6,4,5,7]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[8,7,2,3,4,1,5,6]=>[1,2,7,6,5,8,4,3]=>[2,3,1,8,6,5,4,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[7,8,2,3,4,1,5,6]=>[2,1,7,6,5,8,4,3]=>[3,2,1,8,6,5,4,7]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[8,7,4,3,1,2,5,6]=>[1,2,5,6,8,7,4,3]=>[2,3,1,8,4,5,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[7,8,4,3,1,2,5,6]=>[2,1,5,6,8,7,4,3]=>[3,2,1,8,4,5,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[8,7,3,4,1,2,5,6]=>[1,2,6,5,8,7,4,3]=>[2,3,1,8,5,4,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,8,3,4,1,2,5,6]=>[2,1,6,5,8,7,4,3]=>[3,2,1,8,5,4,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[8,7,4,2,1,3,5,6]=>[1,2,5,7,8,6,4,3]=>[2,3,1,8,4,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[7,8,4,2,1,3,5,6]=>[2,1,5,7,8,6,4,3]=>[3,2,1,8,4,7,5,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,7,4,1,2,3,5,6]=>[1,2,5,8,7,6,4,3]=>[2,3,1,8,4,7,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[7,8,4,1,2,3,5,6]=>[2,1,5,8,7,6,4,3]=>[3,2,1,8,4,7,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>[2,3,1,8,7,4,5,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>[3,2,1,8,7,4,5,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[8,7,2,3,1,4,5,6]=>[1,2,7,6,8,5,4,3]=>[2,3,1,8,7,5,4,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[7,8,2,3,1,4,5,6]=>[2,1,7,6,8,5,4,3]=>[3,2,1,8,7,5,4,6]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[8,7,3,1,2,4,5,6]=>[1,2,6,8,7,5,4,3]=>[2,3,1,8,7,4,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,8,3,1,2,4,5,6]=>[2,1,6,8,7,5,4,3]=>[3,2,1,8,7,4,6,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[8,7,2,1,3,4,5,6]=>[1,2,7,8,6,5,4,3]=>[2,3,1,8,7,6,4,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[7,8,2,1,3,4,5,6]=>[2,1,7,8,6,5,4,3]=>[3,2,1,8,7,6,4,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>[2,3,1,8,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[3,2,1,8,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[8,6,5,4,3,2,1,7]=>[1,3,4,5,6,7,8,2]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,5,6,4,3,2,1,7]=>[1,4,3,5,6,7,8,2]=>[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,4,5,3,2,1,7]=>[1,3,5,4,6,7,8,2]=>[2,1,3,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,5,4,6,3,2,1,7]=>[1,4,5,3,6,7,8,2]=>[2,1,5,3,4,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>[2,1,5,4,3,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,6,5,3,4,2,1,7]=>[1,3,4,6,5,7,8,2]=>[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,5,6,3,4,2,1,7]=>[1,4,3,6,5,7,8,2]=>[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,4,3,5,2,1,7]=>[1,3,5,6,4,7,8,2]=>[2,1,3,6,4,5,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,4,5,3,6,2,1,7]=>[1,5,4,6,3,7,8,2]=>[2,1,6,4,3,5,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,6,5,4,2,3,1,7]=>[1,3,4,5,7,6,8,2]=>[2,1,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,4,5,6,2,3,1,7]=>[1,5,4,3,7,6,8,2]=>[2,1,5,4,3,7,6,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,6,5,3,2,4,1,7]=>[1,3,4,6,7,5,8,2]=>[2,1,3,4,7,5,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,5,4,3,2,6,1,7]=>[1,4,5,6,7,3,8,2]=>[2,1,7,3,4,5,6,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,5,3,2,4,6,1,7]=>[1,4,6,7,5,3,8,2]=>[2,1,7,3,6,4,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,3,2,5,6,1,7]=>[1,5,6,7,4,3,8,2]=>[2,1,7,6,3,4,5,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,2,3,4,5,6,1,7]=>[1,7,6,5,4,3,8,2]=>[2,1,7,6,5,4,3,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[8,6,5,4,3,1,2,7]=>[1,3,4,5,6,8,7,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,5,6,4,3,1,2,7]=>[1,4,3,5,6,8,7,2]=>[2,1,4,3,5,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,5,4,6,3,1,2,7]=>[1,4,5,3,6,8,7,2]=>[2,1,5,3,4,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,4,5,6,3,1,2,7]=>[1,5,4,3,6,8,7,2]=>[2,1,5,4,3,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[8,6,5,3,4,1,2,7]=>[1,3,4,6,5,8,7,2]=>[2,1,3,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
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[8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>[2,1,3,4,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
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[8,6,5,3,1,2,4,7]=>[1,3,4,6,8,7,5,2]=>[2,1,3,4,8,5,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
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[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[2,1,3,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[8,5,6,1,2,3,4,7]=>[1,4,3,8,7,6,5,2]=>[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[2,1,3,8,4,5,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
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[8,6,4,2,3,1,5,7]=>[1,3,5,7,6,8,4,2]=>[2,1,3,8,4,6,5,7]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[8,6,3,2,4,1,5,7]=>[1,3,6,7,5,8,4,2]=>[2,1,3,8,6,4,5,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,6,2,3,4,1,5,7]=>[1,3,7,6,5,8,4,2]=>[2,1,3,8,6,5,4,7]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[8,6,4,3,1,2,5,7]=>[1,3,5,6,8,7,4,2]=>[2,1,3,8,4,5,7,6]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,6,3,4,1,2,5,7]=>[1,3,6,5,8,7,4,2]=>[2,1,3,8,5,4,7,6]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[2,1,3,8,4,7,5,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[2,1,3,8,4,7,6,5]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[2,1,3,8,7,4,5,6]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,6,2,3,1,4,5,7]=>[1,3,7,6,8,5,4,2]=>[2,1,3,8,7,5,4,6]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>[2,1,3,8,7,4,6,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[8,6,2,1,3,4,5,7]=>[1,3,7,8,6,5,4,2]=>[2,1,3,8,7,6,4,5]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>[2,1,3,8,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]
[8,5,4,3,2,1,6,7]=>[1,4,5,6,7,8,3,2]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,4,3,5,2,1,6,7]=>[1,5,6,4,7,8,3,2]=>[2,1,8,5,3,4,6,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>[2,1,8,5,4,3,6,7]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[8,5,3,2,4,1,6,7]=>[1,4,6,7,5,8,3,2]=>[2,1,8,3,6,4,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,4,2,5,1,6,7]=>[1,6,5,7,4,8,3,2]=>[2,1,8,6,4,3,5,7]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[8,2,3,4,5,1,6,7]=>[1,7,6,5,4,8,3,2]=>[2,1,8,6,5,4,3,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[8,4,5,3,1,2,6,7]=>[1,5,4,6,8,7,3,2]=>[2,1,8,4,3,5,7,6]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[8,3,4,5,1,2,6,7]=>[1,6,5,4,8,7,3,2]=>[2,1,8,5,4,3,7,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,4,5,2,1,3,6,7]=>[1,5,4,7,8,6,3,2]=>[2,1,8,4,3,7,5,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,5,4,1,2,3,6,7]=>[1,4,5,8,7,6,3,2]=>[2,1,8,3,4,7,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[8,4,5,1,2,3,6,7]=>[1,5,4,8,7,6,3,2]=>[2,1,8,4,3,7,6,5]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[2,1,8,3,7,4,5,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,2,3,1,4,6,7]=>[1,4,7,6,8,5,3,2]=>[2,1,8,3,7,5,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>[2,1,8,3,7,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>[2,1,8,3,7,6,4,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>[2,1,8,3,7,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[2,1,8,7,3,4,5,6]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>[2,1,8,7,4,3,5,6]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>[2,1,8,7,3,5,4,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>[2,1,8,7,5,3,4,6]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>[2,1,8,7,5,4,3,6]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[8,4,3,1,2,5,6,7]=>[1,5,6,8,7,4,3,2]=>[2,1,8,7,3,4,6,5]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[8,3,4,1,2,5,6,7]=>[1,6,5,8,7,4,3,2]=>[2,1,8,7,4,3,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,4,2,1,3,5,6,7]=>[1,5,7,8,6,4,3,2]=>[2,1,8,7,3,6,4,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,4,1,2,3,5,6,7]=>[1,5,8,7,6,4,3,2]=>[2,1,8,7,3,6,5,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[2,1,8,7,6,3,4,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>[2,1,8,7,6,4,3,5]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[2,1,8,7,6,3,5,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[2,1,8,7,6,5,3,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>[1,4,2,3,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,4,5,3,2,1,8]=>[2,3,5,4,6,7,8,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,5,3,2,1,8]=>[3,2,5,4,6,7,8,1]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,4,6,3,2,1,8]=>[2,4,5,3,6,7,8,1]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,4,7,3,2,1,8]=>[3,4,5,2,6,7,8,1]=>[1,5,2,3,4,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,5,7,3,2,1,8]=>[3,5,4,2,6,7,8,1]=>[1,5,2,4,3,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,7,3,2,1,8]=>[4,5,3,2,6,7,8,1]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>[1,5,4,3,2,6,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,7,3,4,2,1,8]=>[3,4,2,6,5,7,8,1]=>[1,4,2,3,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,3,5,2,1,8]=>[3,2,5,6,4,7,8,1]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,5,4,3,6,2,1,8]=>[2,4,5,6,3,7,8,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,6,2,1,8]=>[2,5,4,6,3,7,8,1]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,5,3,4,6,2,1,8]=>[2,4,6,5,3,7,8,1]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>[1,6,2,3,4,5,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,3,7,2,1,8]=>[4,3,5,6,2,7,8,1]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,5,3,7,2,1,8]=>[3,5,4,6,2,7,8,1]=>[1,6,2,4,3,5,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,3,7,2,1,8]=>[4,5,3,6,2,7,8,1]=>[1,6,4,2,3,5,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>[1,6,4,3,2,5,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,6,3,4,7,2,1,8]=>[4,3,6,5,2,7,8,1]=>[1,6,3,2,5,4,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,3,5,7,2,1,8]=>[3,5,6,4,2,7,8,1]=>[1,6,2,5,3,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>[1,6,5,4,3,2,7,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,6,5,4,2,3,1,8]=>[2,3,4,5,7,6,8,1]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,5,4,2,3,1,8]=>[3,2,4,5,7,6,8,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[5,6,7,4,2,3,1,8]=>[4,3,2,5,7,6,8,1]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,6,4,5,2,3,1,8]=>[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
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[7,5,4,6,2,3,1,8]=>[2,4,5,3,7,6,8,1]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
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[7,6,5,3,2,4,1,8]=>[2,3,4,6,7,5,8,1]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
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[7,6,2,3,4,5,1,8]=>[2,3,7,6,5,4,8,1]=>[1,2,3,7,6,5,4,8]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,7,2,3,4,5,1,8]=>[3,2,7,6,5,4,8,1]=>[1,3,2,7,6,5,4,8]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,6,1,8]=>[2,5,4,6,7,3,8,1]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
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[7,3,4,2,5,6,1,8]=>[2,6,5,7,4,3,8,1]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
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[6,4,5,2,3,7,1,8]=>[3,5,4,7,6,2,8,1]=>[1,7,2,4,3,6,5,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,3,2,4,7,1,8]=>[3,4,6,7,5,2,8,1]=>[1,7,2,3,6,4,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
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[6,3,4,2,5,7,1,8]=>[3,6,5,7,4,2,8,1]=>[1,7,2,6,4,3,5,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>[1,7,2,6,3,5,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,3,4,5,7,1,8]=>[3,7,6,5,4,2,8,1]=>[1,7,2,6,5,4,3,8]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,3,2,6,7,1,8]=>[5,4,6,7,3,2,8,1]=>[1,7,6,3,2,4,5,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,3,4,2,6,7,1,8]=>[4,6,5,7,3,2,8,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,3,5,2,6,7,1,8]=>[5,6,4,7,3,2,8,1]=>[1,7,6,4,2,3,5,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,5,2,3,6,7,1,8]=>[5,4,7,6,3,2,8,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,4,2,5,6,7,1,8]=>[6,5,7,4,3,2,8,1]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,2,3,5,6,7,1,8]=>[5,7,6,4,3,2,8,1]=>[1,7,6,5,2,4,3,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,2,4,5,6,7,1,8]=>[6,7,5,4,3,2,8,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,4,5,6,7,1,8]=>[7,6,5,4,3,2,8,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,5,6,4,3,1,2,8]=>[2,4,3,5,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,5,7,4,3,1,2,8]=>[3,4,2,5,6,8,7,1]=>[1,4,2,3,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,7,4,3,1,2,8]=>[4,3,2,5,6,8,7,1]=>[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[7,5,4,6,3,1,2,8]=>[2,4,5,3,6,8,7,1]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[7,4,5,6,3,1,2,8]=>[2,5,4,3,6,8,7,1]=>[1,2,5,4,3,6,8,7]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[6,5,4,7,3,1,2,8]=>[3,4,5,2,6,8,7,1]=>[1,5,2,3,4,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
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[6,4,5,7,3,1,2,8]=>[3,5,4,2,6,8,7,1]=>[1,5,2,4,3,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[5,4,6,7,3,1,2,8]=>[4,5,3,2,6,8,7,1]=>[1,5,4,2,3,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[7,6,5,3,4,1,2,8]=>[2,3,4,6,5,8,7,1]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[6,7,5,3,4,1,2,8]=>[3,2,4,6,5,8,7,1]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,5,6,3,4,1,2,8]=>[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,5,7,3,4,1,2,8]=>[3,4,2,6,5,8,7,1]=>[1,4,2,3,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,6,4,3,5,1,2,8]=>[2,3,5,6,4,8,7,1]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[1,3,2,6,5,4,8,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[7,5,4,3,6,1,2,8]=>[2,4,5,6,3,8,7,1]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
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[5,4,6,3,7,1,2,8]=>[4,5,3,6,2,8,7,1]=>[1,6,4,2,3,5,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[6,4,3,5,7,1,2,8]=>[3,5,6,4,2,8,7,1]=>[1,6,2,5,3,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[4,5,3,6,7,1,2,8]=>[5,4,6,3,2,8,7,1]=>[1,6,5,3,2,4,8,7]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[3,4,5,6,7,1,2,8]=>[6,5,4,3,2,8,7,1]=>[1,6,5,4,3,2,8,7]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[7,6,5,4,2,1,3,8]=>[2,3,4,5,7,8,6,1]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,5,4,2,1,3,8]=>[3,2,4,5,7,8,6,1]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,6,4,2,1,3,8]=>[2,4,3,5,7,8,6,1]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
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[5,6,7,4,2,1,3,8]=>[4,3,2,5,7,8,6,1]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,6,4,5,2,1,3,8]=>[2,3,5,4,7,8,6,1]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,5,4,6,2,1,3,8]=>[2,4,5,3,7,8,6,1]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[7,4,5,6,2,1,3,8]=>[2,5,4,3,7,8,6,1]=>[1,2,5,4,3,8,6,7]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
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[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[7,5,6,4,1,2,3,8]=>[2,4,3,5,8,7,6,1]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[6,5,7,4,1,2,3,8]=>[3,4,2,5,8,7,6,1]=>[1,4,2,3,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[7,6,4,5,1,2,3,8]=>[2,3,5,4,8,7,6,1]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[7,5,4,6,1,2,3,8]=>[2,4,5,3,8,7,6,1]=>[1,2,5,3,4,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[7,4,5,6,1,2,3,8]=>[2,5,4,3,8,7,6,1]=>[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
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[5,6,4,7,1,2,3,8]=>[4,3,5,2,8,7,6,1]=>[1,5,3,2,4,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[5,4,6,7,1,2,3,8]=>[4,5,3,2,8,7,6,1]=>[1,5,4,2,3,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[4,5,6,7,1,2,3,8]=>[5,4,3,2,8,7,6,1]=>[1,5,4,3,2,8,7,6]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,7,5,3,2,1,4,8]=>[3,2,4,6,7,8,5,1]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,5,6,3,2,1,4,8]=>[2,4,3,6,7,8,5,1]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,7,3,2,1,4,8]=>[3,4,2,6,7,8,5,1]=>[1,4,2,3,8,5,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
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[7,6,5,2,3,1,4,8]=>[2,3,4,7,6,8,5,1]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[6,7,5,2,3,1,4,8]=>[3,2,4,7,6,8,5,1]=>[1,3,2,4,8,6,5,7]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,5,7,2,3,1,4,8]=>[3,4,2,7,6,8,5,1]=>[1,4,2,3,8,6,5,7]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[7,6,5,3,1,2,4,8]=>[2,3,4,6,8,7,5,1]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[7,5,6,3,1,2,4,8]=>[2,4,3,6,8,7,5,1]=>[1,2,4,3,8,5,7,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,5,7,3,1,2,4,8]=>[3,4,2,6,8,7,5,1]=>[1,4,2,3,8,5,7,6]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,6,5,2,1,3,4,8]=>[2,3,4,7,8,6,5,1]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,5,6,2,1,3,4,8]=>[2,4,3,7,8,6,5,1]=>[1,2,4,3,8,7,5,6]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,5,7,2,1,3,4,8]=>[3,4,2,7,8,6,5,1]=>[1,4,2,3,8,7,5,6]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,7,6,5]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]
[6,7,5,1,2,3,4,8]=>[3,2,4,8,7,6,5,1]=>[1,3,2,4,8,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[7,5,6,1,2,3,4,8]=>[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,7,6,5]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[5,6,7,1,2,3,4,8]=>[4,3,2,8,7,6,5,1]=>[1,4,3,2,8,7,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,3,2,1,5,8]=>[3,2,5,6,7,8,4,1]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,3,4,2,1,5,8]=>[2,3,6,5,7,8,4,1]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[6,7,3,4,2,1,5,8]=>[3,2,6,5,7,8,4,1]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,6,4,2,3,1,5,8]=>[2,3,5,7,6,8,4,1]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[6,7,4,2,3,1,5,8]=>[3,2,5,7,6,8,4,1]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,6,3,2,4,1,5,8]=>[2,3,6,7,5,8,4,1]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[6,7,3,2,4,1,5,8]=>[3,2,6,7,5,8,4,1]=>[1,3,2,8,6,4,5,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,6,2,3,4,1,5,8]=>[2,3,7,6,5,8,4,1]=>[1,2,3,8,6,5,4,7]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,7,2,3,4,1,5,8]=>[3,2,7,6,5,8,4,1]=>[1,3,2,8,6,5,4,7]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[7,6,4,3,1,2,5,8]=>[2,3,5,6,8,7,4,1]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,7,4,3,1,2,5,8]=>[3,2,5,6,8,7,4,1]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[7,6,3,4,1,2,5,8]=>[2,3,6,5,8,7,4,1]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[6,7,3,4,1,2,5,8]=>[3,2,6,5,8,7,4,1]=>[1,3,2,8,5,4,7,6]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,6,4,1,2,3,5,8]=>[2,3,5,8,7,6,4,1]=>[1,2,3,8,4,7,6,5]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[1,2,3,8,7,4,5,6]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,6,2,3,1,4,5,8]=>[2,3,7,6,8,5,4,1]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,7,2,3,1,4,5,8]=>[3,2,7,6,8,5,4,1]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[7,6,3,1,2,4,5,8]=>[2,3,6,8,7,5,4,1]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[6,7,3,1,2,4,5,8]=>[3,2,6,8,7,5,4,1]=>[1,3,2,8,7,4,6,5]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[7,6,2,1,3,4,5,8]=>[2,3,7,8,6,5,4,1]=>[1,2,3,8,7,6,4,5]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,7,2,1,3,4,5,8]=>[3,2,7,8,6,5,4,1]=>[1,3,2,8,7,6,4,5]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>[1,2,3,8,7,6,5,4]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]]
[6,7,1,2,3,4,5,8]=>[3,2,8,7,6,5,4,1]=>[1,3,2,8,7,6,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[7,5,4,3,2,1,6,8]=>[2,4,5,6,7,8,3,1]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,1,6,8]=>[2,5,4,6,7,8,3,1]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,5,3,4,2,1,6,8]=>[2,4,6,5,7,8,3,1]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,3,5,2,1,6,8]=>[2,5,6,4,7,8,3,1]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,3,4,5,2,1,6,8]=>[2,6,5,4,7,8,3,1]=>[1,2,8,5,4,3,6,7]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,4,5,2,3,1,6,8]=>[2,5,4,7,6,8,3,1]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,5,3,2,4,1,6,8]=>[2,4,6,7,5,8,3,1]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,2,3,4,1,6,8]=>[2,4,7,6,5,8,3,1]=>[1,2,8,3,6,5,4,7]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[7,2,3,4,5,1,6,8]=>[2,7,6,5,4,8,3,1]=>[1,2,8,6,5,4,3,7]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[7,5,3,4,1,2,6,8]=>[2,4,6,5,8,7,3,1]=>[1,2,8,3,5,4,7,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[7,4,5,2,1,3,6,8]=>[2,5,4,7,8,6,3,1]=>[1,2,8,4,3,7,5,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,4,5,1,2,3,6,8]=>[2,5,4,8,7,6,3,1]=>[1,2,8,4,3,7,6,5]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[7,5,2,1,3,4,6,8]=>[2,4,7,8,6,5,3,1]=>[1,2,8,3,7,6,4,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[1,2,8,3,7,6,5,4]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,4,2,3,1,5,6,8]=>[2,5,7,6,8,4,3,1]=>[1,2,8,7,3,5,4,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,2,3,4,1,5,6,8]=>[2,7,6,5,8,4,3,1]=>[1,2,8,7,5,4,3,6]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[7,4,3,1,2,5,6,8]=>[2,5,6,8,7,4,3,1]=>[1,2,8,7,3,4,6,5]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[7,3,4,1,2,5,6,8]=>[2,6,5,8,7,4,3,1]=>[1,2,8,7,4,3,6,5]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[7,4,1,2,3,5,6,8]=>[2,5,8,7,6,4,3,1]=>[1,2,8,7,3,6,5,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[7,3,2,1,4,5,6,8]=>[2,6,7,8,5,4,3,1]=>[1,2,8,7,6,3,4,5]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,2,3,1,4,5,6,8]=>[2,7,6,8,5,4,3,1]=>[1,2,8,7,6,4,3,5]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[7,3,1,2,4,5,6,8]=>[2,6,8,7,5,4,3,1]=>[1,2,8,7,6,3,5,4]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[1,2,8,7,6,5,4,3]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]]
[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,3,2,1,7,8]=>[4,3,5,6,7,8,2,1]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,5,3,2,1,7,8]=>[3,5,4,6,7,8,2,1]=>[1,8,2,4,3,5,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,3,2,1,7,8]=>[4,5,3,6,7,8,2,1]=>[1,8,4,2,3,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,1,7,8]=>[5,4,3,6,7,8,2,1]=>[1,8,4,3,2,5,6,7]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[1,8,2,3,5,4,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,6,3,4,2,1,7,8]=>[4,3,6,5,7,8,2,1]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,3,5,2,1,7,8]=>[3,5,6,4,7,8,2,1]=>[1,8,2,5,3,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,6,2,1,7,8]=>[5,4,6,3,7,8,2,1]=>[1,8,5,3,2,4,6,7]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,3,5,6,2,1,7,8]=>[5,6,4,3,7,8,2,1]=>[1,8,5,4,2,3,6,7]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>[1,8,5,4,3,2,6,7]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[6,5,4,2,3,1,7,8]=>[3,4,5,7,6,8,2,1]=>[1,8,2,3,4,6,5,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[1,8,2,4,3,6,5,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,6,2,3,1,7,8]=>[4,5,3,7,6,8,2,1]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,5,3,2,4,1,7,8]=>[3,4,6,7,5,8,2,1]=>[1,8,2,3,6,4,5,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,6,3,2,4,1,7,8]=>[4,3,6,7,5,8,2,1]=>[1,8,3,2,6,4,5,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,2,3,4,1,7,8]=>[3,4,7,6,5,8,2,1]=>[1,8,2,3,6,5,4,7]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[1,8,2,6,3,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,2,5,1,7,8]=>[3,6,5,7,4,8,2,1]=>[1,8,2,6,4,3,5,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,2,3,5,1,7,8]=>[3,5,7,6,4,8,2,1]=>[1,8,2,6,3,5,4,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,2,4,5,1,7,8]=>[3,6,7,5,4,8,2,1]=>[1,8,2,6,5,3,4,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,3,2,6,1,7,8]=>[5,4,6,7,3,8,2,1]=>[1,8,6,3,2,4,5,7]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,3,4,2,6,1,7,8]=>[4,6,5,7,3,8,2,1]=>[1,8,6,2,4,3,5,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,3,5,2,6,1,7,8]=>[5,6,4,7,3,8,2,1]=>[1,8,6,4,2,3,5,7]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,5,2,3,6,1,7,8]=>[5,4,7,6,3,8,2,1]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,3,2,4,6,1,7,8]=>[4,6,7,5,3,8,2,1]=>[1,8,6,2,5,3,4,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,4,2,5,6,1,7,8]=>[6,5,7,4,3,8,2,1]=>[1,8,6,5,3,2,4,7]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,2,4,5,6,1,7,8]=>[6,7,5,4,3,8,2,1]=>[1,8,6,5,4,2,3,7]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[1,8,6,5,4,3,2,7]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,5,4,3,1,2,7,8]=>[3,4,5,6,8,7,2,1]=>[1,8,2,3,4,5,7,6]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>[1,8,4,3,2,5,7,6]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[1,8,3,2,5,4,7,6]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[6,4,3,5,1,2,7,8]=>[3,5,6,4,8,7,2,1]=>[1,8,2,5,3,4,7,6]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>[1,8,5,2,3,4,7,6]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[4,5,3,6,1,2,7,8]=>[5,4,6,3,8,7,2,1]=>[1,8,5,3,2,4,7,6]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[4,3,5,6,1,2,7,8]=>[5,6,4,3,8,7,2,1]=>[1,8,5,4,2,3,7,6]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[3,4,5,6,1,2,7,8]=>[6,5,4,3,8,7,2,1]=>[1,8,5,4,3,2,7,6]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[6,5,4,2,1,3,7,8]=>[3,4,5,7,8,6,2,1]=>[1,8,2,3,4,7,5,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>[1,8,3,2,4,7,5,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,4,5,2,1,3,7,8]=>[3,5,4,7,8,6,2,1]=>[1,8,2,4,3,7,5,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,6,2,1,3,7,8]=>[5,4,3,7,8,6,2,1]=>[1,8,4,3,2,7,5,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,5,4,1,2,3,7,8]=>[3,4,5,8,7,6,2,1]=>[1,8,2,3,4,7,6,5]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[6,4,5,1,2,3,7,8]=>[3,5,4,8,7,6,2,1]=>[1,8,2,4,3,7,6,5]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[5,4,6,1,2,3,7,8]=>[4,5,3,8,7,6,2,1]=>[1,8,4,2,3,7,6,5]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[1,8,4,3,2,7,6,5]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[6,5,2,3,1,4,7,8]=>[3,4,7,6,8,5,2,1]=>[1,8,2,3,7,5,4,6]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,2,3,1,4,7,8]=>[4,3,7,6,8,5,2,1]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,5,2,1,3,4,7,8]=>[3,4,7,8,6,5,2,1]=>[1,8,2,3,7,6,4,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>[1,8,2,3,7,6,5,4]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>[1,8,3,2,7,6,5,4]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[1,8,2,7,3,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,2,1,5,7,8]=>[3,6,5,7,8,4,2,1]=>[1,8,2,7,4,3,5,6]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,2,3,1,5,7,8]=>[3,5,7,6,8,4,2,1]=>[1,8,2,7,3,5,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,3,2,4,1,5,7,8]=>[3,6,7,5,8,4,2,1]=>[1,8,2,7,5,3,4,6]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>[1,8,2,7,5,4,3,6]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[1,8,2,7,3,4,6,5]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[6,3,4,1,2,5,7,8]=>[3,6,5,8,7,4,2,1]=>[1,8,2,7,4,3,6,5]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>[1,8,2,7,3,6,4,5]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>[1,8,2,7,3,6,5,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,3,2,1,4,5,7,8]=>[3,6,7,8,5,4,2,1]=>[1,8,2,7,6,3,4,5]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,2,3,1,4,5,7,8]=>[3,7,6,8,5,4,2,1]=>[1,8,2,7,6,4,3,5]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,3,1,2,4,5,7,8]=>[3,6,8,7,5,4,2,1]=>[1,8,2,7,6,3,5,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[1,8,2,7,6,5,4,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[1,8,7,2,3,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>[1,8,7,3,2,4,5,6]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>[1,8,7,4,2,3,5,6]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>[1,8,7,4,3,2,5,6]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>[1,8,7,3,2,5,4,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[1,8,7,2,5,3,4,6]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[1,8,7,2,5,4,3,6]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>[1,8,7,5,2,3,4,6]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>[1,8,7,5,3,2,4,6]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[1,8,7,5,4,3,2,6]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[1,8,7,2,3,4,6,5]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[4,5,3,1,2,6,7,8]=>[5,4,6,8,7,3,2,1]=>[1,8,7,3,2,4,6,5]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[4,3,5,1,2,6,7,8]=>[5,6,4,8,7,3,2,1]=>[1,8,7,4,2,3,6,5]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[3,4,5,1,2,6,7,8]=>[6,5,4,8,7,3,2,1]=>[1,8,7,4,3,2,6,5]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>[1,8,7,2,3,6,4,5]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,2,1,3,6,7,8]=>[5,4,7,8,6,3,2,1]=>[1,8,7,3,2,6,4,5]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[1,8,7,2,3,6,5,4]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>[1,8,7,2,6,3,4,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[1,8,7,2,6,3,5,4]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[1,8,7,2,6,5,3,4]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[1,8,7,2,6,5,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[1,8,7,6,2,3,4,5]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>[1,8,7,6,3,2,4,5]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[1,8,7,6,2,4,3,5]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>[1,8,7,6,4,2,3,5]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[1,8,7,6,3,2,5,4]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[1,8,7,6,2,5,4,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[1,8,7,6,5,2,3,4]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[1,8,7,6,5,3,2,4]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[1,8,7,6,5,2,4,3]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[1,8,7,6,5,4,2,3]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,8,6,4,3,2,1]=>[4,2,1,3,5,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,8,7,4,3,2,1]=>[4,3,1,2,5,6,7,8]=>[4,5,3,2,6,7,8,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[5,7,6,8,4,3,2,1]=>[4,2,3,1,5,6,7,8]=>[5,3,4,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,7,8,6,5,3,2,1]=>[5,2,1,3,4,6,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,6,7,8,5,3,2,1]=>[5,3,2,1,4,6,7,8]=>[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,5,8,7,6,3,2,1]=>[5,4,1,2,3,6,7,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[4,7,6,5,8,3,2,1]=>[5,2,3,4,1,6,7,8]=>[6,3,4,5,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,4,7,6,8,3,2,1]=>[4,5,2,3,1,6,7,8]=>[6,4,5,2,3,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,6,5,7,8,3,2,1]=>[5,3,4,2,1,6,7,8]=>[6,5,3,4,2,7,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,8,7,6,5,4,2,1]=>[6,1,2,3,4,5,7,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,6,8,7,5,4,2,1]=>[6,3,1,2,4,5,7,8]=>[4,5,3,6,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[3,5,8,7,6,4,2,1]=>[6,4,1,2,3,5,7,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,5,7,8,6,4,2,1]=>[6,4,2,1,3,5,7,8]=>[5,4,6,3,7,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,6,5,8,7,4,2,1]=>[6,3,4,1,2,5,7,8]=>[5,6,3,4,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[3,7,6,5,8,4,2,1]=>[6,2,3,4,1,5,7,8]=>[6,3,4,5,7,2,8,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[3,6,7,5,8,4,2,1]=>[6,3,2,4,1,5,7,8]=>[6,4,3,5,7,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,5,7,6,8,4,2,1]=>[6,4,2,3,1,5,7,8]=>[6,4,5,3,7,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,6,5,7,8,4,2,1]=>[6,3,4,2,1,5,7,8]=>[6,5,3,4,7,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,5,6,7,8,4,2,1]=>[6,4,3,2,1,5,7,8]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[4,3,8,7,6,5,2,1]=>[5,6,1,2,3,4,7,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,7,8,6,5,2,1]=>[5,6,2,1,3,4,7,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,3,6,8,7,5,2,1]=>[5,6,3,1,2,4,7,8]=>[5,6,4,7,2,3,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[4,3,6,7,8,5,2,1]=>[5,6,3,2,1,4,7,8]=>[6,5,4,7,2,3,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,4,8,7,6,5,2,1]=>[6,5,1,2,3,4,7,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[3,4,7,6,8,5,2,1]=>[6,5,2,3,1,4,7,8]=>[6,4,5,7,3,2,8,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[5,4,3,8,7,6,2,1]=>[4,5,6,1,2,3,7,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,5,3,7,8,6,2,1]=>[5,4,6,2,1,3,7,8]=>[6,5,7,3,2,4,8,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[3,5,4,7,8,6,2,1]=>[6,4,5,2,1,3,7,8]=>[6,5,7,3,4,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[4,3,5,8,7,6,2,1]=>[5,6,4,1,2,3,7,8]=>[5,6,7,4,2,3,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[4,3,5,7,8,6,2,1]=>[5,6,4,2,1,3,7,8]=>[6,5,7,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[3,4,5,7,8,6,2,1]=>[6,5,4,2,1,3,7,8]=>[6,5,7,4,3,2,8,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[6,5,4,3,8,7,2,1]=>[3,4,5,6,1,2,7,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,4,3,8,7,2,1]=>[4,3,5,6,1,2,7,8]=>[6,7,3,2,4,5,8,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[4,5,6,3,8,7,2,1]=>[5,4,3,6,1,2,7,8]=>[6,7,4,3,2,5,8,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[4,3,6,5,8,7,2,1]=>[5,6,3,4,1,2,7,8]=>[6,7,4,5,2,3,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[3,4,6,5,8,7,2,1]=>[6,5,3,4,1,2,7,8]=>[6,7,4,5,3,2,8,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,5,3,6,8,7,2,1]=>[5,4,6,3,1,2,7,8]=>[6,7,5,3,2,4,8,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[4,3,5,6,8,7,2,1]=>[5,6,4,3,1,2,7,8]=>[6,7,5,4,2,3,8,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[3,4,5,6,8,7,2,1]=>[6,5,4,3,1,2,7,8]=>[6,7,5,4,3,2,8,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[4,6,7,5,3,8,2,1]=>[5,3,2,4,6,1,7,8]=>[7,4,3,5,2,6,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[5,4,7,6,3,8,2,1]=>[4,5,2,3,6,1,7,8]=>[7,4,5,2,3,6,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[3,7,6,5,4,8,2,1]=>[6,2,3,4,5,1,7,8]=>[7,3,4,5,6,2,8,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[3,5,7,6,4,8,2,1]=>[6,4,2,3,5,1,7,8]=>[7,4,5,3,6,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,6,5,7,4,8,2,1]=>[6,3,4,2,5,1,7,8]=>[7,5,3,4,6,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,5,6,7,4,8,2,1]=>[6,4,3,2,5,1,7,8]=>[7,5,4,3,6,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[4,3,7,6,5,8,2,1]=>[5,6,2,3,4,1,7,8]=>[7,4,5,6,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[3,4,7,6,5,8,2,1]=>[6,5,2,3,4,1,7,8]=>[7,4,5,6,3,2,8,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[5,4,3,7,6,8,2,1]=>[4,5,6,2,3,1,7,8]=>[7,5,6,2,3,4,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[3,5,4,7,6,8,2,1]=>[6,4,5,2,3,1,7,8]=>[7,5,6,3,4,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[4,3,5,7,6,8,2,1]=>[5,6,4,2,3,1,7,8]=>[7,5,6,4,2,3,8,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[3,6,5,4,7,8,2,1]=>[6,3,4,5,2,1,7,8]=>[7,6,3,4,5,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,5,6,4,7,8,2,1]=>[6,4,3,5,2,1,7,8]=>[7,6,4,3,5,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[4,3,6,5,7,8,2,1]=>[5,6,3,4,2,1,7,8]=>[7,6,4,5,2,3,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,4,6,5,7,8,2,1]=>[6,5,3,4,2,1,7,8]=>[7,6,4,5,3,2,8,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[3,5,4,6,7,8,2,1]=>[6,4,5,3,2,1,7,8]=>[7,6,5,3,4,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,7,8,6,5,4,3,1]=>[7,2,1,3,4,5,6,8]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,7,6,8,5,4,3,1]=>[7,2,3,1,4,5,6,8]=>[5,3,4,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,6,7,8,5,4,3,1]=>[7,3,2,1,4,5,6,8]=>[5,4,3,6,7,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[2,7,6,5,8,4,3,1]=>[7,2,3,4,1,5,6,8]=>[6,3,4,5,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,6,5,7,8,4,3,1]=>[7,3,4,2,1,5,6,8]=>[6,5,3,4,7,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[2,5,6,7,8,4,3,1]=>[7,4,3,2,1,5,6,8]=>[6,5,4,3,7,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[2,4,8,7,6,5,3,1]=>[7,5,1,2,3,4,6,8]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[2,4,7,8,6,5,3,1]=>[7,5,2,1,3,4,6,8]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[2,4,7,6,8,5,3,1]=>[7,5,2,3,1,4,6,8]=>[6,4,5,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[2,4,6,7,8,5,3,1]=>[7,5,3,2,1,4,6,8]=>[6,5,4,7,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[2,4,5,8,7,6,3,1]=>[7,5,4,1,2,3,6,8]=>[5,6,7,4,3,8,2,1]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[2,4,6,5,8,7,3,1]=>[7,5,3,4,1,2,6,8]=>[6,7,4,5,3,8,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[2,4,5,6,8,7,3,1]=>[7,5,4,3,1,2,6,8]=>[6,7,5,4,3,8,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[2,7,6,5,4,8,3,1]=>[7,2,3,4,5,1,6,8]=>[7,3,4,5,6,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,5,6,7,4,8,3,1]=>[7,4,3,2,5,1,6,8]=>[7,5,4,3,6,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[2,4,7,6,5,8,3,1]=>[7,5,2,3,4,1,6,8]=>[7,4,5,6,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[2,4,6,7,5,8,3,1]=>[7,5,3,2,4,1,6,8]=>[7,5,4,6,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[2,4,5,7,6,8,3,1]=>[7,5,4,2,3,1,6,8]=>[7,5,6,4,3,8,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[2,6,5,4,7,8,3,1]=>[7,3,4,5,2,1,6,8]=>[7,6,3,4,5,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[2,5,6,4,7,8,3,1]=>[7,4,3,5,2,1,6,8]=>[7,6,4,3,5,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[2,4,6,5,7,8,3,1]=>[7,5,3,4,2,1,6,8]=>[7,6,4,5,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[2,4,5,6,7,8,3,1]=>[7,5,4,3,2,1,6,8]=>[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,6,5,8,7,4,1]=>[6,7,3,4,1,2,5,8]=>[6,7,4,5,8,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[3,2,5,7,6,8,4,1]=>[6,7,4,2,3,1,5,8]=>[7,5,6,4,8,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,2,6,5,7,8,4,1]=>[6,7,3,4,2,1,5,8]=>[7,6,4,5,8,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[2,3,8,7,6,5,4,1]=>[7,6,1,2,3,4,5,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[2,3,6,8,7,5,4,1]=>[7,6,3,1,2,4,5,8]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[2,3,7,6,8,5,4,1]=>[7,6,2,3,1,4,5,8]=>[6,4,5,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[2,3,6,7,8,5,4,1]=>[7,6,3,2,1,4,5,8]=>[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[2,3,5,8,7,6,4,1]=>[7,6,4,1,2,3,5,8]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[2,3,5,7,8,6,4,1]=>[7,6,4,2,1,3,5,8]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[2,3,6,5,8,7,4,1]=>[7,6,3,4,1,2,5,8]=>[6,7,4,5,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[2,3,5,6,8,7,4,1]=>[7,6,4,3,1,2,5,8]=>[6,7,5,4,8,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[2,3,7,6,5,8,4,1]=>[7,6,2,3,4,1,5,8]=>[7,4,5,6,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[2,3,6,7,5,8,4,1]=>[7,6,3,2,4,1,5,8]=>[7,5,4,6,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[2,3,5,7,6,8,4,1]=>[7,6,4,2,3,1,5,8]=>[7,5,6,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[2,3,6,5,7,8,4,1]=>[7,6,3,4,2,1,5,8]=>[7,6,4,5,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[2,3,5,6,7,8,4,1]=>[7,6,4,3,2,1,5,8]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,2,7,8,6,5,1]=>[5,6,7,2,1,3,4,8]=>[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,3,2,6,8,7,5,1]=>[5,6,7,3,1,2,4,8]=>[6,7,5,8,2,3,4,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[4,3,2,6,7,8,5,1]=>[5,6,7,3,2,1,4,8]=>[7,6,5,8,2,3,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,4,2,8,7,6,5,1]=>[6,5,7,1,2,3,4,8]=>[5,6,7,8,3,2,4,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[2,4,3,8,7,6,5,1]=>[7,5,6,1,2,3,4,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[2,4,3,7,8,6,5,1]=>[7,5,6,2,1,3,4,8]=>[6,5,7,8,3,4,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[2,4,3,6,8,7,5,1]=>[7,5,6,3,1,2,4,8]=>[6,7,5,8,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[2,4,3,6,7,8,5,1]=>[7,5,6,3,2,1,4,8]=>[7,6,5,8,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[3,2,4,8,7,6,5,1]=>[6,7,5,1,2,3,4,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[3,2,4,6,8,7,5,1]=>[6,7,5,3,1,2,4,8]=>[6,7,5,8,4,2,3,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[3,2,4,7,6,8,5,1]=>[6,7,5,2,3,1,4,8]=>[7,5,6,8,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[3,2,4,6,7,8,5,1]=>[6,7,5,3,2,1,4,8]=>[7,6,5,8,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[2,3,4,8,7,6,5,1]=>[7,6,5,1,2,3,4,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[2,3,4,7,8,6,5,1]=>[7,6,5,2,1,3,4,8]=>[6,5,7,8,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[2,3,4,6,8,7,5,1]=>[7,6,5,3,1,2,4,8]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[2,3,4,7,6,8,5,1]=>[7,6,5,2,3,1,4,8]=>[7,5,6,8,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[2,3,4,6,7,8,5,1]=>[7,6,5,3,2,1,4,8]=>[7,6,5,8,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[5,4,3,2,8,7,6,1]=>[4,5,6,7,1,2,3,8]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,3,2,7,8,6,1]=>[4,5,6,7,2,1,3,8]=>[7,6,8,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,2,8,7,6,1]=>[5,4,6,7,1,2,3,8]=>[6,7,8,3,2,4,5,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[3,5,4,2,8,7,6,1]=>[6,4,5,7,1,2,3,8]=>[6,7,8,3,4,2,5,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[4,3,5,2,8,7,6,1]=>[5,6,4,7,1,2,3,8]=>[6,7,8,4,2,3,5,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[3,4,5,2,7,8,6,1]=>[6,5,4,7,2,1,3,8]=>[7,6,8,4,3,2,5,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[2,5,4,3,8,7,6,1]=>[7,4,5,6,1,2,3,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[2,5,4,3,7,8,6,1]=>[7,4,5,6,2,1,3,8]=>[7,6,8,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[2,4,5,3,8,7,6,1]=>[7,5,4,6,1,2,3,8]=>[6,7,8,4,3,5,2,1]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[2,4,5,3,7,8,6,1]=>[7,5,4,6,2,1,3,8]=>[7,6,8,4,3,5,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[3,2,5,4,8,7,6,1]=>[6,7,4,5,1,2,3,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,2,5,4,7,8,6,1]=>[6,7,4,5,2,1,3,8]=>[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[4,3,2,5,8,7,6,1]=>[5,6,7,4,1,2,3,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[4,3,2,5,7,8,6,1]=>[5,6,7,4,2,1,3,8]=>[7,6,8,5,2,3,4,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[3,4,2,5,8,7,6,1]=>[6,5,7,4,1,2,3,8]=>[6,7,8,5,3,2,4,1]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[3,4,2,5,7,8,6,1]=>[6,5,7,4,2,1,3,8]=>[7,6,8,5,3,2,4,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[3,2,4,5,7,8,6,1]=>[6,7,5,4,2,1,3,8]=>[7,6,8,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[2,3,4,5,8,7,6,1]=>[7,6,5,4,1,2,3,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[2,3,4,5,7,8,6,1]=>[7,6,5,4,2,1,3,8]=>[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,6,5,3,2,8,7,1]=>[5,3,4,6,7,1,2,8]=>[7,8,3,4,2,5,6,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,4,6,3,2,8,7,1]=>[4,5,3,6,7,1,2,8]=>[7,8,4,2,3,5,6,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[3,5,6,4,2,8,7,1]=>[6,4,3,5,7,1,2,8]=>[7,8,4,3,5,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[3,5,4,6,2,8,7,1]=>[6,4,5,3,7,1,2,8]=>[7,8,5,3,4,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[3,4,5,6,2,8,7,1]=>[6,5,4,3,7,1,2,8]=>[7,8,5,4,3,2,6,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[2,6,5,4,3,8,7,1]=>[7,3,4,5,6,1,2,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[2,5,4,6,3,8,7,1]=>[7,4,5,3,6,1,2,8]=>[7,8,5,3,4,6,2,1]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[2,4,5,6,3,8,7,1]=>[7,5,4,3,6,1,2,8]=>[7,8,5,4,3,6,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[3,2,6,5,4,8,7,1]=>[6,7,3,4,5,1,2,8]=>[7,8,4,5,6,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[4,3,2,6,5,8,7,1]=>[5,6,7,3,4,1,2,8]=>[7,8,5,6,2,3,4,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[2,4,3,6,5,8,7,1]=>[7,5,6,3,4,1,2,8]=>[7,8,5,6,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[2,3,4,6,5,8,7,1]=>[7,6,5,3,4,1,2,8]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[5,4,3,2,6,8,7,1]=>[4,5,6,7,3,1,2,8]=>[7,8,6,2,3,4,5,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[4,5,3,2,6,8,7,1]=>[5,4,6,7,3,1,2,8]=>[7,8,6,3,2,4,5,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[2,5,4,3,6,8,7,1]=>[7,4,5,6,3,1,2,8]=>[7,8,6,3,4,5,2,1]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[2,4,5,3,6,8,7,1]=>[7,5,4,6,3,1,2,8]=>[7,8,6,4,3,5,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[3,4,2,5,6,8,7,1]=>[6,5,7,4,3,1,2,8]=>[7,8,6,5,3,2,4,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[2,4,3,5,6,8,7,1]=>[7,5,6,4,3,1,2,8]=>[7,8,6,5,3,4,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[3,2,4,5,6,8,7,1]=>[6,7,5,4,3,1,2,8]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[2,3,4,5,6,8,7,1]=>[7,6,5,4,3,1,2,8]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[5,7,6,4,3,2,8,1]=>[4,2,3,5,6,7,1,8]=>[8,3,4,2,5,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,7,6,5,3,2,8,1]=>[5,2,3,4,6,7,1,8]=>[8,3,4,5,2,6,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,5,7,6,3,2,8,1]=>[5,4,2,3,6,7,1,8]=>[8,4,5,3,2,6,7,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[4,6,5,7,3,2,8,1]=>[5,3,4,2,6,7,1,8]=>[8,5,3,4,2,6,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,6,7,5,4,2,8,1]=>[6,3,2,4,5,7,1,8]=>[8,4,3,5,6,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,5,7,6,4,2,8,1]=>[6,4,2,3,5,7,1,8]=>[8,4,5,3,6,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,4,6,7,5,2,8,1]=>[6,5,3,2,4,7,1,8]=>[8,5,4,6,3,2,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[3,5,4,7,6,2,8,1]=>[6,4,5,2,3,7,1,8]=>[8,5,6,3,4,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,6,5,4,7,2,8,1]=>[6,3,4,5,2,7,1,8]=>[8,6,3,4,5,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,5,6,4,7,2,8,1]=>[6,4,3,5,2,7,1,8]=>[8,6,4,3,5,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[2,7,6,5,4,3,8,1]=>[7,2,3,4,5,6,1,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,6,7,5,4,3,8,1]=>[7,3,2,4,5,6,1,8]=>[8,4,3,5,6,7,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[2,4,6,7,5,3,8,1]=>[7,5,3,2,4,6,1,8]=>[8,5,4,6,3,7,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[2,5,6,4,7,3,8,1]=>[7,4,3,5,2,6,1,8]=>[8,6,4,3,5,7,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[2,4,5,6,7,3,8,1]=>[7,5,4,3,2,6,1,8]=>[8,6,5,4,3,7,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[3,2,7,6,5,4,8,1]=>[6,7,2,3,4,5,1,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[3,2,5,7,6,4,8,1]=>[6,7,4,2,3,5,1,8]=>[8,5,6,4,7,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,2,6,5,7,4,8,1]=>[6,7,3,4,2,5,1,8]=>[8,6,4,5,7,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[2,3,7,6,5,4,8,1]=>[7,6,2,3,4,5,1,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[2,3,5,7,6,4,8,1]=>[7,6,4,2,3,5,1,8]=>[8,5,6,4,7,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[4,3,2,7,6,5,8,1]=>[5,6,7,2,3,4,1,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,3,2,6,7,5,8,1]=>[5,6,7,3,2,4,1,8]=>[8,6,5,7,2,3,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,4,2,6,7,5,8,1]=>[6,5,7,3,2,4,1,8]=>[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[2,4,3,7,6,5,8,1]=>[7,5,6,2,3,4,1,8]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[3,2,4,7,6,5,8,1]=>[6,7,5,2,3,4,1,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[2,3,4,7,6,5,8,1]=>[7,6,5,2,3,4,1,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[2,3,4,6,7,5,8,1]=>[7,6,5,3,2,4,1,8]=>[8,6,5,7,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[5,4,3,2,7,6,8,1]=>[4,5,6,7,2,3,1,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,2,7,6,8,1]=>[5,4,6,7,2,3,1,8]=>[8,6,7,3,2,4,5,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[3,5,4,2,7,6,8,1]=>[6,4,5,7,2,3,1,8]=>[8,6,7,3,4,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[2,5,4,3,7,6,8,1]=>[7,4,5,6,2,3,1,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[3,2,5,4,7,6,8,1]=>[6,7,4,5,2,3,1,8]=>[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[2,3,5,4,7,6,8,1]=>[7,6,4,5,2,3,1,8]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[4,3,2,5,7,6,8,1]=>[5,6,7,4,2,3,1,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[2,4,3,5,7,6,8,1]=>[7,5,6,4,2,3,1,8]=>[8,6,7,5,3,4,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[3,2,4,5,7,6,8,1]=>[6,7,5,4,2,3,1,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[2,3,4,5,7,6,8,1]=>[7,6,5,4,2,3,1,8]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[3,5,6,4,2,7,8,1]=>[6,4,3,5,7,2,1,8]=>[8,7,4,3,5,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[3,5,4,6,2,7,8,1]=>[6,4,5,3,7,2,1,8]=>[8,7,5,3,4,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[2,6,5,4,3,7,8,1]=>[7,3,4,5,6,2,1,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[2,5,6,4,3,7,8,1]=>[7,4,3,5,6,2,1,8]=>[8,7,4,3,5,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[2,5,4,6,3,7,8,1]=>[7,4,5,3,6,2,1,8]=>[8,7,5,3,4,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[2,4,5,6,3,7,8,1]=>[7,5,4,3,6,2,1,8]=>[8,7,5,4,3,6,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[2,3,6,5,4,7,8,1]=>[7,6,3,4,5,2,1,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[2,3,5,6,4,7,8,1]=>[7,6,4,3,5,2,1,8]=>[8,7,5,4,6,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[4,3,2,6,5,7,8,1]=>[5,6,7,3,4,2,1,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,4,2,6,5,7,8,1]=>[6,5,7,3,4,2,1,8]=>[8,7,5,6,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[2,4,3,6,5,7,8,1]=>[7,5,6,3,4,2,1,8]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[3,2,4,6,5,7,8,1]=>[6,7,5,3,4,2,1,8]=>[8,7,5,6,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[2,3,4,6,5,7,8,1]=>[7,6,5,3,4,2,1,8]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[3,5,4,2,6,7,8,1]=>[6,4,5,7,3,2,1,8]=>[8,7,6,3,4,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[2,5,4,3,6,7,8,1]=>[7,4,5,6,3,2,1,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[2,4,5,3,6,7,8,1]=>[7,5,4,6,3,2,1,8]=>[8,7,6,4,3,5,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[3,2,5,4,6,7,8,1]=>[6,7,4,5,3,2,1,8]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[2,3,5,4,6,7,8,1]=>[7,6,4,5,3,2,1,8]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[2,4,3,5,6,7,8,1]=>[7,5,6,4,3,2,1,8]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,7,8,6,5,4,3,2]=>[8,2,1,3,4,5,6,7]=>[4,3,5,6,7,8,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,6,8,7,5,4,3,2]=>[8,3,1,2,4,5,6,7]=>[4,5,3,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[1,7,6,8,5,4,3,2]=>[8,2,3,1,4,5,6,7]=>[5,3,4,6,7,8,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,6,7,8,5,4,3,2]=>[8,3,2,1,4,5,6,7]=>[5,4,3,6,7,8,1,2]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,5,8,7,6,4,3,2]=>[8,4,1,2,3,5,6,7]=>[4,5,6,3,7,8,1,2]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[1,5,7,8,6,4,3,2]=>[8,4,2,1,3,5,6,7]=>[5,4,6,3,7,8,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,6,5,8,7,4,3,2]=>[8,3,4,1,2,5,6,7]=>[5,6,3,4,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[1,5,6,8,7,4,3,2]=>[8,4,3,1,2,5,6,7]=>[5,6,4,3,7,8,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[1,7,6,5,8,4,3,2]=>[8,2,3,4,1,5,6,7]=>[6,3,4,5,7,8,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,6,7,5,8,4,3,2]=>[8,3,2,4,1,5,6,7]=>[6,4,3,5,7,8,1,2]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,5,6,7,8,4,3,2]=>[8,4,3,2,1,5,6,7]=>[6,5,4,3,7,8,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,4,8,7,6,5,3,2]=>[8,5,1,2,3,4,6,7]=>[4,5,6,7,3,8,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[1,4,6,8,7,5,3,2]=>[8,5,3,1,2,4,6,7]=>[5,6,4,7,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,4,7,6,8,5,3,2]=>[8,5,2,3,1,4,6,7]=>[6,4,5,7,3,8,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,4,5,8,7,6,3,2]=>[8,5,4,1,2,3,6,7]=>[5,6,7,4,3,8,1,2]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[1,4,6,5,8,7,3,2]=>[8,5,3,4,1,2,6,7]=>[6,7,4,5,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,7,6,5,4,8,3,2]=>[8,2,3,4,5,1,6,7]=>[7,3,4,5,6,8,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,4,5,7,6,8,3,2]=>[8,5,4,2,3,1,6,7]=>[7,5,6,4,3,8,1,2]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,6,5,4,7,8,3,2]=>[8,3,4,5,2,1,6,7]=>[7,6,3,4,5,8,1,2]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,5,6,4,7,8,3,2]=>[8,4,3,5,2,1,6,7]=>[7,6,4,3,5,8,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,5,4,6,7,8,3,2]=>[8,4,5,3,2,1,6,7]=>[7,6,5,3,4,8,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,4,5,6,7,8,3,2]=>[8,5,4,3,2,1,6,7]=>[7,6,5,4,3,8,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,3,8,7,6,5,4,2]=>[8,6,1,2,3,4,5,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[1,3,6,7,8,5,4,2]=>[8,6,3,2,1,4,5,7]=>[6,5,4,7,8,3,1,2]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,3,5,7,8,6,4,2]=>[8,6,4,2,1,3,5,7]=>[6,5,7,4,8,3,1,2]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,3,6,5,8,7,4,2]=>[8,6,3,4,1,2,5,7]=>[6,7,4,5,8,3,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[1,3,5,7,6,8,4,2]=>[8,6,4,2,3,1,5,7]=>[7,5,6,4,8,3,1,2]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,3,6,5,7,8,4,2]=>[8,6,3,4,2,1,5,7]=>[7,6,4,5,8,3,1,2]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,3,5,6,7,8,4,2]=>[8,6,4,3,2,1,5,7]=>[7,6,5,4,8,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,4,3,8,7,6,5,2]=>[8,5,6,1,2,3,4,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[1,4,3,7,8,6,5,2]=>[8,5,6,2,1,3,4,7]=>[6,5,7,8,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,4,3,6,8,7,5,2]=>[8,5,6,3,1,2,4,7]=>[6,7,5,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,4,3,7,6,8,5,2]=>[8,5,6,2,3,1,4,7]=>[7,5,6,8,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,4,3,6,7,8,5,2]=>[8,5,6,3,2,1,4,7]=>[7,6,5,8,3,4,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,3,4,8,7,6,5,2]=>[8,6,5,1,2,3,4,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[1,3,4,7,8,6,5,2]=>[8,6,5,2,1,3,4,7]=>[6,5,7,8,4,3,1,2]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]
[1,3,4,6,8,7,5,2]=>[8,6,5,3,1,2,4,7]=>[6,7,5,8,4,3,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[1,3,4,7,6,8,5,2]=>[8,6,5,2,3,1,4,7]=>[7,5,6,8,4,3,1,2]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]
[1,3,4,6,7,8,5,2]=>[8,6,5,3,2,1,4,7]=>[7,6,5,8,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,4,5,3,8,7,6,2]=>[8,5,4,6,1,2,3,7]=>[6,7,8,4,3,5,1,2]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[1,3,5,4,8,7,6,2]=>[8,6,4,5,1,2,3,7]=>[6,7,8,4,5,3,1,2]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[1,4,3,5,8,7,6,2]=>[8,5,6,4,1,2,3,7]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[1,4,3,5,7,8,6,2]=>[8,5,6,4,2,1,3,7]=>[7,6,8,5,3,4,1,2]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,3,4,5,8,7,6,2]=>[8,6,5,4,1,2,3,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[1,3,4,5,7,8,6,2]=>[8,6,5,4,2,1,3,7]=>[7,6,8,5,4,3,1,2]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,6,5,4,3,8,7,2]=>[8,3,4,5,6,1,2,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[1,5,6,4,3,8,7,2]=>[8,4,3,5,6,1,2,7]=>[7,8,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[1,4,6,5,3,8,7,2]=>[8,5,3,4,6,1,2,7]=>[7,8,4,5,3,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,5,4,6,3,8,7,2]=>[8,4,5,3,6,1,2,7]=>[7,8,5,3,4,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[1,3,6,5,4,8,7,2]=>[8,6,3,4,5,1,2,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[1,4,3,6,5,8,7,2]=>[8,5,6,3,4,1,2,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,3,4,6,5,8,7,2]=>[8,6,5,3,4,1,2,7]=>[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[1,3,4,5,6,8,7,2]=>[8,6,5,4,3,1,2,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,7,6,5,4,3,8,2]=>[8,2,3,4,5,6,1,7]=>[8,3,4,5,6,7,1,2]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,6,7,5,4,3,8,2]=>[8,3,2,4,5,6,1,7]=>[8,4,3,5,6,7,1,2]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,7,4,3,8,2]=>[8,3,4,2,5,6,1,7]=>[8,5,3,4,6,7,1,2]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,5,6,7,4,3,8,2]=>[8,4,3,2,5,6,1,7]=>[8,5,4,3,6,7,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,4,5,6,7,3,8,2]=>[8,5,4,3,2,6,1,7]=>[8,6,5,4,3,7,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,3,6,7,5,4,8,2]=>[8,6,3,2,4,5,1,7]=>[8,5,4,6,7,3,1,2]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,3,5,7,6,4,8,2]=>[8,6,4,2,3,5,1,7]=>[8,5,6,4,7,3,1,2]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,3,6,5,7,4,8,2]=>[8,6,3,4,2,5,1,7]=>[8,6,4,5,7,3,1,2]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,4,3,7,6,5,8,2]=>[8,5,6,2,3,4,1,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,3,4,6,7,5,8,2]=>[8,6,5,3,2,4,1,7]=>[8,6,5,7,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,5,4,3,7,6,8,2]=>[8,4,5,6,2,3,1,7]=>[8,6,7,3,4,5,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,3,5,4,7,6,8,2]=>[8,6,4,5,2,3,1,7]=>[8,6,7,4,5,3,1,2]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,3,4,5,7,6,8,2]=>[8,6,5,4,2,3,1,7]=>[8,6,7,5,4,3,1,2]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,6,5,4,3,7,8,2]=>[8,3,4,5,6,2,1,7]=>[8,7,3,4,5,6,1,2]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,5,6,4,3,7,8,2]=>[8,4,3,5,6,2,1,7]=>[8,7,4,3,5,6,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,3,5,6,4,7,8,2]=>[8,6,4,3,5,2,1,7]=>[8,7,5,4,6,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,4,3,6,5,7,8,2]=>[8,5,6,3,4,2,1,7]=>[8,7,5,6,3,4,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,3,4,6,5,7,8,2]=>[8,6,5,3,4,2,1,7]=>[8,7,5,6,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,5,4,3,6,7,8,2]=>[8,4,5,6,3,2,1,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,3,5,4,6,7,8,2]=>[8,6,4,5,3,2,1,7]=>[8,7,6,4,5,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,4,3,5,6,7,8,2]=>[8,5,6,4,3,2,1,7]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,3,4,5,6,7,8,2]=>[8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,1,7,8,6,5,4,3]=>[7,8,2,1,3,4,5,6]=>[5,4,6,7,8,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[2,1,6,8,7,5,4,3]=>[7,8,3,1,2,4,5,6]=>[5,6,4,7,8,1,2,3]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[2,1,7,6,8,5,4,3]=>[7,8,2,3,1,4,5,6]=>[6,4,5,7,8,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[2,1,6,7,8,5,4,3]=>[7,8,3,2,1,4,5,6]=>[6,5,4,7,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,1,5,8,7,6,4,3]=>[7,8,4,1,2,3,5,6]=>[5,6,7,4,8,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[2,1,5,7,8,6,4,3]=>[7,8,4,2,1,3,5,6]=>[6,5,7,4,8,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,5,8,7,4,3]=>[7,8,3,4,1,2,5,6]=>[6,7,4,5,8,1,2,3]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[2,1,5,6,8,7,4,3]=>[7,8,4,3,1,2,5,6]=>[6,7,5,4,8,1,2,3]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[2,1,7,6,5,8,4,3]=>[7,8,2,3,4,1,5,6]=>[7,4,5,6,8,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[2,1,6,7,5,8,4,3]=>[7,8,3,2,4,1,5,6]=>[7,5,4,6,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,1,5,7,6,8,4,3]=>[7,8,4,2,3,1,5,6]=>[7,5,6,4,8,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,5,7,8,4,3]=>[7,8,3,4,2,1,5,6]=>[7,6,4,5,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,1,5,6,7,8,4,3]=>[7,8,4,3,2,1,5,6]=>[7,6,5,4,8,1,2,3]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[2,1,4,8,7,6,5,3]=>[7,8,5,1,2,3,4,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[2,1,4,7,8,6,5,3]=>[7,8,5,2,1,3,4,6]=>[6,5,7,8,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,1,4,6,8,7,5,3]=>[7,8,5,3,1,2,4,6]=>[6,7,5,8,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,1,4,7,6,8,5,3]=>[7,8,5,2,3,1,4,6]=>[7,5,6,8,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,1,4,6,7,8,5,3]=>[7,8,5,3,2,1,4,6]=>[7,6,5,8,4,1,2,3]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[2,1,5,4,8,7,6,3]=>[7,8,4,5,1,2,3,6]=>[6,7,8,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[2,1,4,5,8,7,6,3]=>[7,8,5,4,1,2,3,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,1,4,5,7,8,6,3]=>[7,8,5,4,2,1,3,6]=>[7,6,8,5,4,1,2,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[2,1,6,5,4,8,7,3]=>[7,8,3,4,5,1,2,6]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[2,1,5,6,4,8,7,3]=>[7,8,4,3,5,1,2,6]=>[7,8,5,4,6,1,2,3]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[2,1,4,6,5,8,7,3]=>[7,8,5,3,4,1,2,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,1,4,5,6,8,7,3]=>[7,8,5,4,3,1,2,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,1,7,6,5,4,8,3]=>[7,8,2,3,4,5,1,6]=>[8,4,5,6,7,1,2,3]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[2,1,5,7,6,4,8,3]=>[7,8,4,2,3,5,1,6]=>[8,5,6,4,7,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,5,7,4,8,3]=>[7,8,3,4,2,5,1,6]=>[8,6,4,5,7,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,1,4,7,6,5,8,3]=>[7,8,5,2,3,4,1,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,1,4,6,7,5,8,3]=>[7,8,5,3,2,4,1,6]=>[8,6,5,7,4,1,2,3]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[2,1,5,4,7,6,8,3]=>[7,8,4,5,2,3,1,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,5,4,7,8,3]=>[7,8,3,4,5,2,1,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,1,5,6,4,7,8,3]=>[7,8,4,3,5,2,1,6]=>[8,7,5,4,6,1,2,3]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[2,1,4,5,6,7,8,3]=>[7,8,5,4,3,2,1,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[4,5,6,7,8,1,3,2]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[1,2,7,8,6,5,4,3]=>[8,7,2,1,3,4,5,6]=>[5,4,6,7,8,1,3,2]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[1,2,7,6,8,5,4,3]=>[8,7,2,3,1,4,5,6]=>[6,4,5,7,8,1,3,2]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[1,2,6,7,8,5,4,3]=>[8,7,3,2,1,4,5,6]=>[6,5,4,7,8,1,3,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,2,5,8,7,6,4,3]=>[8,7,4,1,2,3,5,6]=>[5,6,7,4,8,1,3,2]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[1,2,5,7,8,6,4,3]=>[8,7,4,2,1,3,5,6]=>[6,5,7,4,8,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,2,6,5,8,7,4,3]=>[8,7,3,4,1,2,5,6]=>[6,7,4,5,8,1,3,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[1,2,5,6,8,7,4,3]=>[8,7,4,3,1,2,5,6]=>[6,7,5,4,8,1,3,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[1,2,7,6,5,8,4,3]=>[8,7,2,3,4,1,5,6]=>[7,4,5,6,8,1,3,2]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[1,2,6,5,7,8,4,3]=>[8,7,3,4,2,1,5,6]=>[7,6,4,5,8,1,3,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,2,5,6,7,8,4,3]=>[8,7,4,3,2,1,5,6]=>[7,6,5,4,8,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,2,4,8,7,6,5,3]=>[8,7,5,1,2,3,4,6]=>[5,6,7,8,4,1,3,2]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[1,2,4,7,8,6,5,3]=>[8,7,5,2,1,3,4,6]=>[6,5,7,8,4,1,3,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[1,2,4,6,8,7,5,3]=>[8,7,5,3,1,2,4,6]=>[6,7,5,8,4,1,3,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[1,2,4,7,6,8,5,3]=>[8,7,5,2,3,1,4,6]=>[7,5,6,8,4,1,3,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[1,2,4,6,7,8,5,3]=>[8,7,5,3,2,1,4,6]=>[7,6,5,8,4,1,3,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,4,5,7,8,6,3]=>[8,7,5,4,2,1,3,6]=>[7,6,8,5,4,1,3,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,2,6,5,4,8,7,3]=>[8,7,3,4,5,1,2,6]=>[7,8,4,5,6,1,3,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[1,2,4,6,5,8,7,3]=>[8,7,5,3,4,1,2,6]=>[7,8,5,6,4,1,3,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[1,2,4,5,6,8,7,3]=>[8,7,5,4,3,1,2,6]=>[7,8,6,5,4,1,3,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[1,2,5,6,7,4,8,3]=>[8,7,4,3,2,5,1,6]=>[8,6,5,4,7,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,2,4,7,6,5,8,3]=>[8,7,5,2,3,4,1,6]=>[8,5,6,7,4,1,3,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[1,2,4,6,7,5,8,3]=>[8,7,5,3,2,4,1,6]=>[8,6,5,7,4,1,3,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,5,4,7,6,8,3]=>[8,7,4,5,2,3,1,6]=>[8,6,7,4,5,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,2,4,5,7,6,8,3]=>[8,7,5,4,2,3,1,6]=>[8,6,7,5,4,1,3,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,2,6,5,4,7,8,3]=>[8,7,3,4,5,2,1,6]=>[8,7,4,5,6,1,3,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,2,5,6,4,7,8,3]=>[8,7,4,3,5,2,1,6]=>[8,7,5,4,6,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,2,4,6,5,7,8,3]=>[8,7,5,3,4,2,1,6]=>[8,7,5,6,4,1,3,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,5,4,6,7,8,3]=>[8,7,4,5,3,2,1,6]=>[8,7,6,4,5,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,2,4,5,6,7,8,3]=>[8,7,5,4,3,2,1,6]=>[8,7,6,5,4,1,3,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,2,1,7,8,6,5,4]=>[6,7,8,2,1,3,4,5]=>[6,5,7,8,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,8,7,5,4]=>[6,7,8,3,1,2,4,5]=>[6,7,5,8,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,2,1,7,6,8,5,4]=>[6,7,8,2,3,1,4,5]=>[7,5,6,8,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,7,8,5,4]=>[6,7,8,3,2,1,4,5]=>[7,6,5,8,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,2,1,5,8,7,6,4]=>[6,7,8,4,1,2,3,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,5,7,8,6,4]=>[6,7,8,4,2,1,3,5]=>[7,6,8,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,2,1,6,5,8,7,4]=>[6,7,8,3,4,1,2,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,2,1,5,6,8,7,4]=>[6,7,8,4,3,1,2,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[3,2,1,7,6,5,8,4]=>[6,7,8,2,3,4,1,5]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,7,5,8,4]=>[6,7,8,3,2,4,1,5]=>[8,6,5,7,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,2,1,5,7,6,8,4]=>[6,7,8,4,2,3,1,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,2,1,6,5,7,8,4]=>[6,7,8,3,4,2,1,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,2,1,5,6,7,8,4]=>[6,7,8,4,3,2,1,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[2,3,1,8,7,6,5,4]=>[7,6,8,1,2,3,4,5]=>[5,6,7,8,1,3,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,1,6,8,7,5,4]=>[7,6,8,3,1,2,4,5]=>[6,7,5,8,1,3,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,1,6,7,8,5,4]=>[7,6,8,3,2,1,4,5]=>[7,6,5,8,1,3,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,3,1,5,8,7,6,4]=>[7,6,8,4,1,2,3,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,1,5,7,8,6,4]=>[7,6,8,4,2,1,3,5]=>[7,6,8,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,3,1,6,5,8,7,4]=>[7,6,8,3,4,1,2,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,6,5,8,4]=>[7,6,8,2,3,4,1,5]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,6,7,5,8,4]=>[7,6,8,3,2,4,1,5]=>[8,6,5,7,1,3,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,3,1,5,7,6,8,4]=>[7,6,8,4,2,3,1,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,3,1,5,6,7,8,4]=>[7,6,8,4,3,2,1,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[5,6,7,8,1,3,4,2]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,3,2,7,8,6,5,4]=>[8,6,7,2,1,3,4,5]=>[6,5,7,8,1,3,4,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,3,2,6,8,7,5,4]=>[8,6,7,3,1,2,4,5]=>[6,7,5,8,1,3,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[1,3,2,6,7,8,5,4]=>[8,6,7,3,2,1,4,5]=>[7,6,5,8,1,3,4,2]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[1,3,2,6,5,8,7,4]=>[8,6,7,3,4,1,2,5]=>[7,8,5,6,1,3,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[1,3,2,6,5,7,8,4]=>[8,6,7,3,4,2,1,5]=>[8,7,5,6,1,3,4,2]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[1,3,2,5,6,7,8,4]=>[8,6,7,4,3,2,1,5]=>[8,7,6,5,1,3,4,2]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[5,6,7,8,1,4,2,3]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,1,3,6,8,7,5,4]=>[7,8,6,3,1,2,4,5]=>[6,7,5,8,1,4,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,3,7,6,8,5,4]=>[7,8,6,2,3,1,4,5]=>[7,5,6,8,1,4,2,3]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,1,3,6,7,8,5,4]=>[7,8,6,3,2,1,4,5]=>[7,6,5,8,1,4,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,1,3,5,8,7,6,4]=>[7,8,6,4,1,2,3,5]=>[6,7,8,5,1,4,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,1,3,5,6,8,7,4]=>[7,8,6,4,3,1,2,5]=>[7,8,6,5,1,4,2,3]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[2,1,3,7,6,5,8,4]=>[7,8,6,2,3,4,1,5]=>[8,5,6,7,1,4,2,3]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,1,3,5,7,6,8,4]=>[7,8,6,4,2,3,1,5]=>[8,6,7,5,1,4,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,5,7,8,4]=>[7,8,6,3,4,2,1,5]=>[8,7,5,6,1,4,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,1,3,5,6,7,8,4]=>[7,8,6,4,3,2,1,5]=>[8,7,6,5,1,4,2,3]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[5,6,7,8,1,4,3,2]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[1,2,3,7,8,6,5,4]=>[8,7,6,2,1,3,4,5]=>[6,5,7,8,1,4,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[1,2,3,6,8,7,5,4]=>[8,7,6,3,1,2,4,5]=>[6,7,5,8,1,4,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,2,3,7,6,8,5,4]=>[8,7,6,2,3,1,4,5]=>[7,5,6,8,1,4,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[1,2,3,6,7,8,5,4]=>[8,7,6,3,2,1,4,5]=>[7,6,5,8,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,2,3,5,8,7,6,4]=>[8,7,6,4,1,2,3,5]=>[6,7,8,5,1,4,3,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[1,2,3,5,7,8,6,4]=>[8,7,6,4,2,1,3,5]=>[7,6,8,5,1,4,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[1,2,3,6,5,8,7,4]=>[8,7,6,3,4,1,2,5]=>[7,8,5,6,1,4,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,2,3,5,6,8,7,4]=>[8,7,6,4,3,1,2,5]=>[7,8,6,5,1,4,3,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[1,2,3,7,6,5,8,4]=>[8,7,6,2,3,4,1,5]=>[8,5,6,7,1,4,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[1,2,3,6,7,5,8,4]=>[8,7,6,3,2,4,1,5]=>[8,6,5,7,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,2,3,5,7,6,8,4]=>[8,7,6,4,2,3,1,5]=>[8,6,7,5,1,4,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[1,2,3,6,5,7,8,4]=>[8,7,6,3,4,2,1,5]=>[8,7,5,6,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,2,3,5,6,7,8,4]=>[8,7,6,4,3,2,1,5]=>[8,7,6,5,1,4,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,3,2,1,7,8,6,5]=>[5,6,7,8,2,1,3,4]=>[7,6,8,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,2,1,6,8,7,5]=>[5,6,7,8,3,1,2,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,3,2,1,7,6,8,5]=>[5,6,7,8,2,3,1,4]=>[8,6,7,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,2,1,6,7,8,5]=>[5,6,7,8,3,2,1,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,4,2,1,8,7,6,5]=>[6,5,7,8,1,2,3,4]=>[6,7,8,1,3,2,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>[7,6,8,1,3,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,4,2,1,6,7,8,5]=>[6,5,7,8,3,2,1,4]=>[8,7,6,1,3,2,4,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,4,3,1,8,7,6,5]=>[7,5,6,8,1,2,3,4]=>[6,7,8,1,3,4,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,4,3,1,6,7,8,5]=>[7,5,6,8,3,2,1,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,2,4,1,8,7,6,5]=>[6,7,5,8,1,2,3,4]=>[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,4,1,7,8,6,5]=>[6,7,5,8,2,1,3,4]=>[7,6,8,1,4,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,2,4,1,6,7,8,5]=>[6,7,5,8,3,2,1,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,3,4,1,8,7,6,5]=>[7,6,5,8,1,2,3,4]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,4,1,7,8,6,5]=>[7,6,5,8,2,1,3,4]=>[7,6,8,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,1,6,8,7,5]=>[7,6,5,8,3,1,2,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,3,4,1,7,6,8,5]=>[7,6,5,8,2,3,1,4]=>[8,6,7,1,4,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[6,7,8,1,3,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,4,3,2,7,8,6,5]=>[8,5,6,7,2,1,3,4]=>[7,6,8,1,3,4,5,2]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[1,4,3,2,6,8,7,5]=>[8,5,6,7,3,1,2,4]=>[7,8,6,1,3,4,5,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[1,4,3,2,7,6,8,5]=>[8,5,6,7,2,3,1,4]=>[8,6,7,1,3,4,5,2]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[1,4,3,2,6,7,8,5]=>[8,5,6,7,3,2,1,4]=>[8,7,6,1,3,4,5,2]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[1,3,4,2,8,7,6,5]=>[8,6,5,7,1,2,3,4]=>[6,7,8,1,4,3,5,2]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[1,3,4,2,7,8,6,5]=>[8,6,5,7,2,1,3,4]=>[7,6,8,1,4,3,5,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,3,4,2,6,8,7,5]=>[8,6,5,7,3,1,2,4]=>[7,8,6,1,4,3,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[1,3,4,2,7,6,8,5]=>[8,6,5,7,2,3,1,4]=>[8,6,7,1,4,3,5,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,3,4,2,6,7,8,5]=>[8,6,5,7,3,2,1,4]=>[8,7,6,1,4,3,5,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[6,7,8,1,4,5,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,4,3,7,8,6,5]=>[7,8,5,6,2,1,3,4]=>[7,6,8,1,4,5,2,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,3,6,7,8,5]=>[7,8,5,6,3,2,1,4]=>[8,7,6,1,4,5,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[6,7,8,1,4,5,3,2]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[1,2,4,3,7,8,6,5]=>[8,7,5,6,2,1,3,4]=>[7,6,8,1,4,5,3,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[1,2,4,3,7,6,8,5]=>[8,7,5,6,2,3,1,4]=>[8,6,7,1,4,5,3,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[1,2,4,3,6,7,8,5]=>[8,7,5,6,3,2,1,4]=>[8,7,6,1,4,5,3,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[6,7,8,1,5,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,4,7,8,6,5]=>[6,7,8,5,2,1,3,4]=>[7,6,8,1,5,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,1,4,6,8,7,5]=>[6,7,8,5,3,1,2,4]=>[7,8,6,1,5,2,3,4]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,2,1,4,7,6,8,5]=>[6,7,8,5,2,3,1,4]=>[8,6,7,1,5,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,1,4,6,7,8,5]=>[6,7,8,5,3,2,1,4]=>[8,7,6,1,5,2,3,4]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,3,1,4,8,7,6,5]=>[7,6,8,5,1,2,3,4]=>[6,7,8,1,5,3,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,1,4,6,8,7,5]=>[7,6,8,5,3,1,2,4]=>[7,8,6,1,5,3,2,4]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,3,1,4,7,6,8,5]=>[7,6,8,5,2,3,1,4]=>[8,6,7,1,5,3,2,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,1,4,6,7,8,5]=>[7,6,8,5,3,2,1,4]=>[8,7,6,1,5,3,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[6,7,8,1,5,3,4,2]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[1,3,2,4,7,8,6,5]=>[8,6,7,5,2,1,3,4]=>[7,6,8,1,5,3,4,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,3,2,4,6,8,7,5]=>[8,6,7,5,3,1,2,4]=>[7,8,6,1,5,3,4,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[1,3,2,4,7,6,8,5]=>[8,6,7,5,2,3,1,4]=>[8,6,7,1,5,3,4,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,3,2,4,6,7,8,5]=>[8,6,7,5,3,2,1,4]=>[8,7,6,1,5,3,4,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[6,7,8,1,5,4,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,1,3,4,7,8,6,5]=>[7,8,6,5,2,1,3,4]=>[7,6,8,1,5,4,2,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,1,3,4,6,7,8,5]=>[7,8,6,5,3,2,1,4]=>[8,7,6,1,5,4,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[6,7,8,1,5,4,3,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[1,2,3,4,7,8,6,5]=>[8,7,6,5,2,1,3,4]=>[7,6,8,1,5,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[1,2,3,4,6,8,7,5]=>[8,7,6,5,3,1,2,4]=>[7,8,6,1,5,4,3,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[1,2,3,4,7,6,8,5]=>[8,7,6,5,2,3,1,4]=>[8,6,7,1,5,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[1,2,3,4,6,7,8,5]=>[8,7,6,5,3,2,1,4]=>[8,7,6,1,5,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,2,1,7,8,6]=>[4,5,6,7,8,2,1,3]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,5,3,2,1,8,7,6]=>[5,4,6,7,8,1,2,3]=>[7,8,1,3,2,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,1,7,8,6]=>[5,4,6,7,8,2,1,3]=>[8,7,1,3,2,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,3,5,2,1,8,7,6]=>[5,6,4,7,8,1,2,3]=>[7,8,1,4,2,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,5,2,1,7,8,6]=>[5,6,4,7,8,2,1,3]=>[8,7,1,4,2,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,4,5,2,1,8,7,6]=>[6,5,4,7,8,1,2,3]=>[7,8,1,4,3,2,5,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,5,4,3,1,8,7,6]=>[7,4,5,6,8,1,2,3]=>[7,8,1,3,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,3,1,7,8,6]=>[7,4,5,6,8,2,1,3]=>[8,7,1,3,4,5,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,4,5,3,1,8,7,6]=>[7,5,4,6,8,1,2,3]=>[7,8,1,4,3,5,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,4,5,3,1,7,8,6]=>[7,5,4,6,8,2,1,3]=>[8,7,1,4,3,5,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,2,5,4,1,8,7,6]=>[6,7,4,5,8,1,2,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,3,5,4,1,8,7,6]=>[7,6,4,5,8,1,2,3]=>[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,5,4,1,7,8,6]=>[7,6,4,5,8,2,1,3]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[4,3,2,5,1,7,8,6]=>[5,6,7,4,8,2,1,3]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,4,2,5,1,8,7,6]=>[6,5,7,4,8,1,2,3]=>[7,8,1,5,3,2,4,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,2,4,5,1,8,7,6]=>[6,7,5,4,8,1,2,3]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,2,4,5,1,7,8,6]=>[6,7,5,4,8,2,1,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[7,8,1,3,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[1,5,4,3,2,7,8,6]=>[8,4,5,6,7,2,1,3]=>[8,7,1,3,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[1,4,5,3,2,8,7,6]=>[8,5,4,6,7,1,2,3]=>[7,8,1,4,3,5,6,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[1,4,5,3,2,7,8,6]=>[8,5,4,6,7,2,1,3]=>[8,7,1,4,3,5,6,2]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[1,3,5,4,2,8,7,6]=>[8,6,4,5,7,1,2,3]=>[7,8,1,4,5,3,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,3,5,4,2,7,8,6]=>[8,6,4,5,7,2,1,3]=>[8,7,1,4,5,3,6,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[1,3,4,5,2,8,7,6]=>[8,6,5,4,7,1,2,3]=>[7,8,1,5,4,3,6,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[7,8,1,4,5,6,2,3]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,4,5,3,8,7,6]=>[7,8,5,4,6,1,2,3]=>[7,8,1,5,4,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,4,5,3,7,8,6]=>[7,8,5,4,6,2,1,3]=>[8,7,1,5,4,6,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[7,8,1,4,5,6,3,2]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[1,2,5,4,3,7,8,6]=>[8,7,4,5,6,2,1,3]=>[8,7,1,4,5,6,3,2]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[1,2,4,5,3,8,7,6]=>[8,7,5,4,6,1,2,3]=>[7,8,1,5,4,6,3,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]
[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[7,8,1,5,6,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,1,5,4,7,8,6]=>[6,7,8,4,5,2,1,3]=>[8,7,1,5,6,2,3,4]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[7,8,1,5,6,3,4,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[2,1,3,5,4,8,7,6]=>[7,8,6,4,5,1,2,3]=>[7,8,1,5,6,4,2,3]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[7,8,1,5,6,4,3,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[1,2,3,5,4,7,8,6]=>[8,7,6,4,5,2,1,3]=>[8,7,1,5,6,4,3,2]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]
[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[7,8,1,6,2,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,1,5,7,8,6]=>[5,6,7,8,4,2,1,3]=>[8,7,1,6,2,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,4,3,1,5,8,7,6]=>[7,5,6,8,4,1,2,3]=>[7,8,1,6,3,4,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,4,3,1,5,7,8,6]=>[7,5,6,8,4,2,1,3]=>[8,7,1,6,3,4,2,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,2,4,1,5,8,7,6]=>[6,7,5,8,4,1,2,3]=>[7,8,1,6,4,2,3,5]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,2,4,1,5,7,8,6]=>[6,7,5,8,4,2,1,3]=>[8,7,1,6,4,2,3,5]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,3,4,1,5,7,8,6]=>[7,6,5,8,4,2,1,3]=>[8,7,1,6,4,3,2,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[7,8,1,6,3,4,5,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[1,3,4,2,5,7,8,6]=>[8,6,5,7,4,2,1,3]=>[8,7,1,6,4,3,5,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[7,8,1,6,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,4,3,5,7,8,6]=>[7,8,5,6,4,2,1,3]=>[8,7,1,6,4,5,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,2,4,3,5,7,8,6]=>[8,7,5,6,4,2,1,3]=>[8,7,1,6,4,5,3,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[7,8,1,6,5,2,3,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,2,1,4,5,7,8,6]=>[6,7,8,5,4,2,1,3]=>[8,7,1,6,5,2,3,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,3,1,4,5,8,7,6]=>[7,6,8,5,4,1,2,3]=>[7,8,1,6,5,3,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[8,7,1,6,5,3,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[7,8,1,6,5,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,7,8,6]=>[8,7,6,5,4,2,1,3]=>[8,7,1,6,5,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,3,2,1,8,7]=>[4,3,5,6,7,8,1,2]=>[8,1,3,2,4,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,6,3,2,1,8,7]=>[4,5,3,6,7,8,1,2]=>[8,1,4,2,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,1,8,7]=>[5,4,3,6,7,8,1,2]=>[8,1,4,3,2,5,6,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,6,5,4,2,1,8,7]=>[6,3,4,5,7,8,1,2]=>[8,1,3,4,5,2,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,6,4,2,1,8,7]=>[6,4,3,5,7,8,1,2]=>[8,1,4,3,5,2,6,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,6,5,2,1,8,7]=>[5,6,3,4,7,8,1,2]=>[8,1,4,5,2,3,6,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,6,5,2,1,8,7]=>[6,5,3,4,7,8,1,2]=>[8,1,4,5,3,2,6,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[5,4,3,6,2,1,8,7]=>[4,5,6,3,7,8,1,2]=>[8,1,5,2,3,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,3,6,2,1,8,7]=>[5,4,6,3,7,8,1,2]=>[8,1,5,3,2,4,6,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,5,4,6,2,1,8,7]=>[6,4,5,3,7,8,1,2]=>[8,1,5,3,4,2,6,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,5,6,2,1,8,7]=>[5,6,4,3,7,8,1,2]=>[8,1,5,4,2,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,5,6,2,1,8,7]=>[6,5,4,3,7,8,1,2]=>[8,1,5,4,3,2,6,7]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[2,4,6,5,3,1,8,7]=>[7,5,3,4,6,8,1,2]=>[8,1,4,5,3,6,2,7]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,5,4,6,3,1,8,7]=>[7,4,5,3,6,8,1,2]=>[8,1,5,3,4,6,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,5,6,3,1,8,7]=>[7,5,4,3,6,8,1,2]=>[8,1,5,4,3,6,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,2,6,5,4,1,8,7]=>[6,7,3,4,5,8,1,2]=>[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,3,6,5,4,1,8,7]=>[7,6,3,4,5,8,1,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,2,4,6,5,1,8,7]=>[6,7,5,3,4,8,1,2]=>[8,1,5,6,4,2,3,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,3,4,6,5,1,8,7]=>[7,6,5,3,4,8,1,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[5,4,3,2,6,1,8,7]=>[4,5,6,7,3,8,1,2]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,4,2,6,1,8,7]=>[6,4,5,7,3,8,1,2]=>[8,1,6,3,4,2,5,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,5,2,6,1,8,7]=>[5,6,4,7,3,8,1,2]=>[8,1,6,4,2,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,4,3,6,1,8,7]=>[7,4,5,6,3,8,1,2]=>[8,1,6,3,4,5,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,5,3,6,1,8,7]=>[7,5,4,6,3,8,1,2]=>[8,1,6,4,3,5,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,2,5,4,6,1,8,7]=>[6,7,4,5,3,8,1,2]=>[8,1,6,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,5,4,6,1,8,7]=>[7,6,4,5,3,8,1,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,3,2,5,6,1,8,7]=>[5,6,7,4,3,8,1,2]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,5,6,1,8,7]=>[7,6,5,4,3,8,1,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[8,1,3,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[1,5,6,4,3,2,8,7]=>[8,4,3,5,6,7,1,2]=>[8,1,4,3,5,6,7,2]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[1,4,6,5,3,2,8,7]=>[8,5,3,4,6,7,1,2]=>[8,1,4,5,3,6,7,2]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[1,4,5,6,3,2,8,7]=>[8,5,4,3,6,7,1,2]=>[8,1,5,4,3,6,7,2]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[1,3,6,5,4,2,8,7]=>[8,6,3,4,5,7,1,2]=>[8,1,4,5,6,3,7,2]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[1,3,5,6,4,2,8,7]=>[8,6,4,3,5,7,1,2]=>[8,1,5,4,6,3,7,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,4,5,3,6,2,8,7]=>[8,5,4,6,3,7,1,2]=>[8,1,6,4,3,5,7,2]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[8,1,4,5,6,7,2,3]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,1,5,6,4,3,8,7]=>[7,8,4,3,5,6,1,2]=>[8,1,5,4,6,7,2,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,4,6,5,3,8,7]=>[7,8,5,3,4,6,1,2]=>[8,1,5,6,4,7,2,3]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,1,5,4,6,3,8,7]=>[7,8,4,5,3,6,1,2]=>[8,1,6,4,5,7,2,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,4,5,6,3,8,7]=>[7,8,5,4,3,6,1,2]=>[8,1,6,5,4,7,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,2,6,5,4,3,8,7]=>[8,7,3,4,5,6,1,2]=>[8,1,4,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[1,2,5,6,4,3,8,7]=>[8,7,4,3,5,6,1,2]=>[8,1,5,4,6,7,3,2]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]
[1,2,4,6,5,3,8,7]=>[8,7,5,3,4,6,1,2]=>[8,1,5,6,4,7,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[3,2,1,6,5,4,8,7]=>[6,7,8,3,4,5,1,2]=>[8,1,5,6,7,2,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,3,1,6,5,4,8,7]=>[7,6,8,3,4,5,1,2]=>[8,1,5,6,7,3,2,4]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[8,1,5,6,7,3,4,2]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[1,3,2,5,6,4,8,7]=>[8,6,7,4,3,5,1,2]=>[8,1,6,5,7,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[8,1,5,6,7,4,2,3]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[8,1,5,6,7,4,3,2]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]
[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[8,1,6,7,2,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,1,6,5,8,7]=>[6,5,7,8,3,4,1,2]=>[8,1,6,7,3,2,4,5]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,3,1,6,5,8,7]=>[7,5,6,8,3,4,1,2]=>[8,1,6,7,3,4,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,4,1,6,5,8,7]=>[6,7,5,8,3,4,1,2]=>[8,1,6,7,4,2,3,5]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,3,4,1,6,5,8,7]=>[7,6,5,8,3,4,1,2]=>[8,1,6,7,4,3,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[8,1,6,7,4,5,2,3]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[8,1,6,7,4,5,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[8,1,6,7,5,2,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,3,1,4,6,5,8,7]=>[7,6,8,5,3,4,1,2]=>[8,1,6,7,5,3,2,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,3,2,4,6,5,8,7]=>[8,6,7,5,3,4,1,2]=>[8,1,6,7,5,3,4,2]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[8,1,6,7,5,4,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[8,1,6,7,5,4,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[8,1,7,2,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,5,3,2,1,6,8,7]=>[5,4,6,7,8,3,1,2]=>[8,1,7,3,2,4,5,6]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,5,2,1,6,8,7]=>[5,6,4,7,8,3,1,2]=>[8,1,7,4,2,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,4,3,1,6,8,7]=>[7,4,5,6,8,3,1,2]=>[8,1,7,3,4,5,2,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,5,4,1,6,8,7]=>[6,7,4,5,8,3,1,2]=>[8,1,7,4,5,2,3,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,5,4,1,6,8,7]=>[7,6,4,5,8,3,1,2]=>[8,1,7,4,5,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,4,2,5,1,6,8,7]=>[6,5,7,4,8,3,1,2]=>[8,1,7,5,3,2,4,6]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,5,1,6,8,7]=>[6,7,5,4,8,3,1,2]=>[8,1,7,5,4,2,3,6]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[2,3,4,5,1,6,8,7]=>[7,6,5,4,8,3,1,2]=>[8,1,7,5,4,3,2,6]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,4,5,3,2,6,8,7]=>[8,5,4,6,7,3,1,2]=>[8,1,7,4,3,5,6,2]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[8,1,7,4,5,6,2,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,1,5,4,6,8,7]=>[6,7,8,4,5,3,1,2]=>[8,1,7,5,6,2,3,4]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[8,1,7,5,6,4,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[8,1,7,5,6,4,3,2]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]
[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[8,1,7,6,2,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,2,1,5,6,8,7]=>[6,5,7,8,4,3,1,2]=>[8,1,7,6,3,2,4,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[2,4,3,1,5,6,8,7]=>[7,5,6,8,4,3,1,2]=>[8,1,7,6,3,4,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,2,4,1,5,6,8,7]=>[6,7,5,8,4,3,1,2]=>[8,1,7,6,4,2,3,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[2,3,4,1,5,6,8,7]=>[7,6,5,8,4,3,1,2]=>[8,1,7,6,4,3,2,5]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,3,4,2,5,6,8,7]=>[8,6,5,7,4,3,1,2]=>[8,1,7,6,4,3,5,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[8,1,7,6,4,5,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[8,1,7,6,4,5,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[8,1,7,6,5,2,3,4]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[2,3,1,4,5,6,8,7]=>[7,6,8,5,4,3,1,2]=>[8,1,7,6,5,3,2,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[8,1,7,6,5,3,4,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[8,1,7,6,5,4,2,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[8,1,7,6,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[5,7,6,4,3,2,1,8]=>[4,2,3,5,6,7,8,1]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,7,6,5,3,2,1,8]=>[5,2,3,4,6,7,8,1]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,6,7,5,3,2,1,8]=>[5,3,2,4,6,7,8,1]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,4,7,6,3,2,1,8]=>[4,5,2,3,6,7,8,1]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,5,7,6,3,2,1,8]=>[5,4,2,3,6,7,8,1]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,6,5,7,3,2,1,8]=>[5,3,4,2,6,7,8,1]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,7,6,5,4,2,1,8]=>[6,2,3,4,5,7,8,1]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,6,7,5,4,2,1,8]=>[6,3,2,4,5,7,8,1]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,5,7,6,4,2,1,8]=>[6,4,2,3,5,7,8,1]=>[1,4,5,3,6,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,3,7,6,5,2,1,8]=>[5,6,2,3,4,7,8,1]=>[1,4,5,6,2,3,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,4,7,6,5,2,1,8]=>[6,5,2,3,4,7,8,1]=>[1,4,5,6,3,2,7,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,4,6,7,5,2,1,8]=>[6,5,3,2,4,7,8,1]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,4,3,7,6,2,1,8]=>[4,5,6,2,3,7,8,1]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,5,3,7,6,2,1,8]=>[5,4,6,2,3,7,8,1]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,5,4,7,6,2,1,8]=>[6,4,5,2,3,7,8,1]=>[1,5,6,3,4,2,7,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,3,5,7,6,2,1,8]=>[5,6,4,2,3,7,8,1]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,4,5,7,6,2,1,8]=>[6,5,4,2,3,7,8,1]=>[1,5,6,4,3,2,7,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[4,6,5,3,7,2,1,8]=>[5,3,4,6,2,7,8,1]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,6,5,4,7,2,1,8]=>[6,3,4,5,2,7,8,1]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,5,6,4,7,2,1,8]=>[6,4,3,5,2,7,8,1]=>[1,6,4,3,5,2,7,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,3,6,5,7,2,1,8]=>[5,6,3,4,2,7,8,1]=>[1,6,4,5,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,6,5,7,2,1,8]=>[6,5,3,4,2,7,8,1]=>[1,6,4,5,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,7,6,5,4,3,1,8]=>[7,2,3,4,5,6,8,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,6,7,5,4,3,1,8]=>[7,3,2,4,5,6,8,1]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,6,5,7,4,3,1,8]=>[7,3,4,2,5,6,8,1]=>[1,5,3,4,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,5,6,7,4,3,1,8]=>[7,4,3,2,5,6,8,1]=>[1,5,4,3,6,7,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,4,7,6,5,3,1,8]=>[7,5,2,3,4,6,8,1]=>[1,4,5,6,3,7,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,4,6,7,5,3,1,8]=>[7,5,3,2,4,6,8,1]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,7,6,5,4,1,8]=>[6,7,2,3,4,5,8,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,5,7,6,4,1,8]=>[6,7,4,2,3,5,8,1]=>[1,5,6,4,7,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,5,6,7,4,1,8]=>[6,7,4,3,2,5,8,1]=>[1,6,5,4,7,2,3,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,3,6,7,5,4,1,8]=>[7,6,3,2,4,5,8,1]=>[1,5,4,6,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,5,7,6,4,1,8]=>[7,6,4,2,3,5,8,1]=>[1,5,6,4,7,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,3,6,5,7,4,1,8]=>[7,6,3,4,2,5,8,1]=>[1,6,4,5,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,3,2,7,6,5,1,8]=>[5,6,7,2,3,4,8,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,4,3,7,6,5,1,8]=>[7,5,6,2,3,4,8,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,2,4,6,7,5,1,8]=>[6,7,5,3,2,4,8,1]=>[1,6,5,7,4,2,3,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,3,4,7,6,5,1,8]=>[7,6,5,2,3,4,8,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[2,3,4,6,7,5,1,8]=>[7,6,5,3,2,4,8,1]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[5,4,3,2,7,6,1,8]=>[4,5,6,7,2,3,8,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,5,4,2,7,6,1,8]=>[6,4,5,7,2,3,8,1]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,4,5,2,7,6,1,8]=>[6,5,4,7,2,3,8,1]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[2,4,5,3,7,6,1,8]=>[7,5,4,6,2,3,8,1]=>[1,6,7,4,3,5,2,8]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,2,5,4,7,6,1,8]=>[6,7,4,5,2,3,8,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,3,5,4,7,6,1,8]=>[7,6,4,5,2,3,8,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[3,4,2,5,7,6,1,8]=>[6,5,7,4,2,3,8,1]=>[1,6,7,5,3,2,4,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[2,3,4,5,7,6,1,8]=>[7,6,5,4,2,3,8,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,6,5,3,2,7,1,8]=>[5,3,4,6,7,2,8,1]=>[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,6,5,2,7,1,8]=>[5,6,3,4,7,2,8,1]=>[1,7,4,5,2,3,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,6,5,2,7,1,8]=>[6,5,3,4,7,2,8,1]=>[1,7,4,5,3,2,6,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,6,5,4,3,7,1,8]=>[7,3,4,5,6,2,8,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[4,3,2,6,5,7,1,8]=>[5,6,7,3,4,2,8,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,2,6,5,7,1,8]=>[6,5,7,3,4,2,8,1]=>[1,7,5,6,3,2,4,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,4,3,6,5,7,1,8]=>[7,5,6,3,4,2,8,1]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,3,4,6,5,7,1,8]=>[7,6,5,3,4,2,8,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[3,5,4,2,6,7,1,8]=>[6,4,5,7,3,2,8,1]=>[1,7,6,3,4,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,5,4,3,6,7,1,8]=>[7,4,5,6,3,2,8,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,3,5,4,6,7,1,8]=>[7,6,4,5,3,2,8,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[1,6,7,5,4,3,2,8]=>[8,3,2,4,5,6,7,1]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,7,6,4,3,2,8]=>[8,4,2,3,5,6,7,1]=>[1,4,5,3,6,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,6,5,7,4,3,2,8]=>[8,3,4,2,5,6,7,1]=>[1,5,3,4,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,6,7,4,3,2,8]=>[8,4,3,2,5,6,7,1]=>[1,5,4,3,6,7,8,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[1,5,4,7,6,3,2,8]=>[8,4,5,2,3,6,7,1]=>[1,5,6,3,4,7,8,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,3,7,6,5,4,2,8]=>[8,6,2,3,4,5,7,1]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[1,3,5,7,6,4,2,8]=>[8,6,4,2,3,5,7,1]=>[1,5,6,4,7,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,3,6,5,7,4,2,8]=>[8,6,3,4,2,5,7,1]=>[1,6,4,5,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,3,4,6,7,5,2,8]=>[8,6,5,3,2,4,7,1]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[1,3,5,4,7,6,2,8]=>[8,6,4,5,2,3,7,1]=>[1,6,7,4,5,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,3,4,5,7,6,2,8]=>[8,6,5,4,2,3,7,1]=>[1,6,7,5,4,3,8,2]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]
[1,6,5,4,3,7,2,8]=>[8,3,4,5,6,2,7,1]=>[1,7,3,4,5,6,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,4,6,5,3,7,2,8]=>[8,5,3,4,6,2,7,1]=>[1,7,4,5,3,6,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,5,4,6,3,7,2,8]=>[8,4,5,3,6,2,7,1]=>[1,7,5,3,4,6,8,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[1,4,5,6,3,7,2,8]=>[8,5,4,3,6,2,7,1]=>[1,7,5,4,3,6,8,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,3,6,5,4,7,2,8]=>[8,6,3,4,5,2,7,1]=>[1,7,4,5,6,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,4,5,3,6,7,2,8]=>[8,5,4,6,3,2,7,1]=>[1,7,6,4,3,5,8,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,3,4,5,6,7,2,8]=>[8,6,5,4,3,2,7,1]=>[1,7,6,5,4,3,8,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[1,4,5,6,7,8,2,3]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,1,6,7,5,4,3,8]=>[7,8,3,2,4,5,6,1]=>[1,5,4,6,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,6,5,7,4,3,8]=>[7,8,3,4,2,5,6,1]=>[1,6,4,5,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,4,7,6,5,3,8]=>[7,8,5,2,3,4,6,1]=>[1,5,6,7,4,8,2,3]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,1,4,5,7,6,3,8]=>[7,8,5,4,2,3,6,1]=>[1,6,7,5,4,8,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,1,6,5,4,7,3,8]=>[7,8,3,4,5,2,6,1]=>[1,7,4,5,6,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,1,4,6,5,7,3,8]=>[7,8,5,3,4,2,6,1]=>[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,4,5,6,7,3,8]=>[7,8,5,4,3,2,6,1]=>[1,7,6,5,4,8,2,3]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[1,4,5,6,7,8,3,2]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]
[1,2,5,6,7,4,3,8]=>[8,7,4,3,2,5,6,1]=>[1,6,5,4,7,8,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[1,2,4,6,5,7,3,8]=>[8,7,5,3,4,2,6,1]=>[1,7,5,6,4,8,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,2,4,5,6,7,3,8]=>[8,7,5,4,3,2,6,1]=>[1,7,6,5,4,8,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]
[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,1,6,7,5,4,8]=>[6,7,8,3,2,4,5,1]=>[1,6,5,7,8,2,3,4]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,2,1,5,7,6,4,8]=>[6,7,8,4,2,3,5,1]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,1,5,6,7,4,8]=>[6,7,8,4,3,2,5,1]=>[1,7,6,5,8,2,3,4]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,3,1,7,6,5,4,8]=>[7,6,8,2,3,4,5,1]=>[1,5,6,7,8,3,2,4]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,1,5,7,6,4,8]=>[7,6,8,4,2,3,5,1]=>[1,6,7,5,8,3,2,4]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[1,5,6,7,8,3,4,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[1,3,2,6,7,5,4,8]=>[8,6,7,3,2,4,5,1]=>[1,6,5,7,8,3,4,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,3,2,5,7,6,4,8]=>[8,6,7,4,2,3,5,1]=>[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,3,2,5,6,7,4,8]=>[8,6,7,4,3,2,5,1]=>[1,7,6,5,8,3,4,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[2,1,3,7,6,5,4,8]=>[7,8,6,2,3,4,5,1]=>[1,5,6,7,8,4,2,3]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,1,3,6,7,5,4,8]=>[7,8,6,3,2,4,5,1]=>[1,6,5,7,8,4,2,3]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,1,3,5,6,7,4,8]=>[7,8,6,4,3,2,5,1]=>[1,7,6,5,8,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[1,5,6,7,8,4,3,2]=>[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]
[1,2,3,5,7,6,4,8]=>[8,7,6,4,2,3,5,1]=>[1,6,7,5,8,4,3,2]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[1,2,3,5,6,7,4,8]=>[8,7,6,4,3,2,5,1]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,3,2,1,6,7,5,8]=>[5,6,7,8,3,2,4,1]=>[1,7,6,8,2,3,4,5]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,2,1,7,6,5,8]=>[6,5,7,8,2,3,4,1]=>[1,6,7,8,3,2,4,5]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,4,2,1,6,7,5,8]=>[6,5,7,8,3,2,4,1]=>[1,7,6,8,3,2,4,5]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,4,3,1,6,7,5,8]=>[7,5,6,8,3,2,4,1]=>[1,7,6,8,3,4,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,4,1,7,6,5,8]=>[6,7,5,8,2,3,4,1]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[3,2,4,1,6,7,5,8]=>[6,7,5,8,3,2,4,1]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,3,4,1,7,6,5,8]=>[7,6,5,8,2,3,4,1]=>[1,6,7,8,4,3,2,5]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[2,3,4,1,6,7,5,8]=>[7,6,5,8,3,2,4,1]=>[1,7,6,8,4,3,2,5]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[1,6,7,8,3,4,5,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[1,4,3,2,6,7,5,8]=>[8,5,6,7,3,2,4,1]=>[1,7,6,8,3,4,5,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[1,7,6,8,4,3,5,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[2,1,4,3,6,7,5,8]=>[7,8,5,6,3,2,4,1]=>[1,7,6,8,4,5,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[1,6,7,8,4,5,3,2]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[1,2,4,3,6,7,5,8]=>[8,7,5,6,3,2,4,1]=>[1,7,6,8,4,5,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[1,6,7,8,5,3,4,2]=>[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]
[2,1,3,4,6,7,5,8]=>[7,8,6,5,3,2,4,1]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[1,6,7,8,5,4,3,2]=>[.,[[[[[.,[.,[.,.]]],.],.],.],.]]
[1,2,3,4,6,7,5,8]=>[8,7,6,5,3,2,4,1]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,5,4,2,1,7,6,8]=>[6,4,5,7,8,2,3,1]=>[1,7,8,3,4,2,5,6]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,3,5,2,1,7,6,8]=>[5,6,4,7,8,2,3,1]=>[1,7,8,4,2,3,5,6]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,5,4,3,1,7,6,8]=>[7,4,5,6,8,2,3,1]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,4,5,3,1,7,6,8]=>[7,5,4,6,8,2,3,1]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,2,5,4,1,7,6,8]=>[6,7,4,5,8,2,3,1]=>[1,7,8,4,5,2,3,6]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,3,5,4,1,7,6,8]=>[7,6,4,5,8,2,3,1]=>[1,7,8,4,5,3,2,6]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,4,3,5,1,7,6,8]=>[7,5,6,4,8,2,3,1]=>[1,7,8,5,3,4,2,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,2,4,5,1,7,6,8]=>[6,7,5,4,8,2,3,1]=>[1,7,8,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[2,3,4,5,1,7,6,8]=>[7,6,5,4,8,2,3,1]=>[1,7,8,5,4,3,2,6]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[1,7,8,3,4,5,6,2]=>[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]
[1,3,5,4,2,7,6,8]=>[8,6,4,5,7,2,3,1]=>[1,7,8,4,5,3,6,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,4,3,5,2,7,6,8]=>[8,5,6,4,7,2,3,1]=>[1,7,8,5,3,4,6,2]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[1,3,4,5,2,7,6,8]=>[8,6,5,4,7,2,3,1]=>[1,7,8,5,4,3,6,2]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]
[2,1,5,4,3,7,6,8]=>[7,8,4,5,6,2,3,1]=>[1,7,8,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[1,2,4,5,3,7,6,8]=>[8,7,5,4,6,2,3,1]=>[1,7,8,5,4,6,3,2]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[1,7,8,5,6,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[2,1,3,5,4,7,6,8]=>[7,8,6,4,5,2,3,1]=>[1,7,8,5,6,4,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[1,7,8,5,6,4,3,2]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[1,7,8,6,2,3,4,5]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,4,2,1,5,7,6,8]=>[6,5,7,8,4,2,3,1]=>[1,7,8,6,3,2,4,5]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[2,4,3,1,5,7,6,8]=>[7,5,6,8,4,2,3,1]=>[1,7,8,6,3,4,2,5]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[3,2,4,1,5,7,6,8]=>[6,7,5,8,4,2,3,1]=>[1,7,8,6,4,2,3,5]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[2,3,4,1,5,7,6,8]=>[7,6,5,8,4,2,3,1]=>[1,7,8,6,4,3,2,5]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[1,7,8,6,3,4,5,2]=>[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]
[1,2,4,3,5,7,6,8]=>[8,7,5,6,4,2,3,1]=>[1,7,8,6,4,5,3,2]=>[.,[[[[[.,[.,.]],.],[.,.]],.],.]]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,7,8,6,5,3,4,2]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]
[2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[1,7,8,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]
[4,6,5,3,2,1,7,8]=>[5,3,4,6,7,8,2,1]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,6,5,4,2,1,7,8]=>[6,3,4,5,7,8,2,1]=>[1,8,3,4,5,2,6,7]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,4,6,5,2,1,7,8]=>[6,5,3,4,7,8,2,1]=>[1,8,4,5,3,2,6,7]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,6,5,4,3,1,7,8]=>[7,3,4,5,6,8,2,1]=>[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,4,6,5,3,1,7,8]=>[7,5,3,4,6,8,2,1]=>[1,8,4,5,3,6,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,5,4,6,3,1,7,8]=>[7,4,5,3,6,8,2,1]=>[1,8,5,3,4,6,2,7]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,4,5,6,3,1,7,8]=>[7,5,4,3,6,8,2,1]=>[1,8,5,4,3,6,2,7]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,3,6,5,4,1,7,8]=>[7,6,3,4,5,8,2,1]=>[1,8,4,5,6,3,2,7]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,5,6,4,1,7,8]=>[7,6,4,3,5,8,2,1]=>[1,8,5,4,6,3,2,7]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,3,2,6,5,1,7,8]=>[5,6,7,3,4,8,2,1]=>[1,8,5,6,2,3,4,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,3,4,6,5,1,7,8]=>[7,6,5,3,4,8,2,1]=>[1,8,5,6,4,3,2,7]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[3,5,4,2,6,1,7,8]=>[6,4,5,7,3,8,2,1]=>[1,8,6,3,4,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,5,4,3,6,1,7,8]=>[7,4,5,6,3,8,2,1]=>[1,8,6,3,4,5,2,7]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,2,5,4,6,1,7,8]=>[6,7,4,5,3,8,2,1]=>[1,8,6,4,5,2,3,7]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]
[1,5,6,4,3,2,7,8]=>[8,4,3,5,6,7,2,1]=>[1,8,4,3,5,6,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[1,4,6,5,3,2,7,8]=>[8,5,3,4,6,7,2,1]=>[1,8,4,5,3,6,7,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[1,4,5,6,3,2,7,8]=>[8,5,4,3,6,7,2,1]=>[1,8,5,4,3,6,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,3,6,5,4,2,7,8]=>[8,6,3,4,5,7,2,1]=>[1,8,4,5,6,3,7,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]
[1,3,5,6,4,2,7,8]=>[8,6,4,3,5,7,2,1]=>[1,8,5,4,6,3,7,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[1,4,5,3,6,2,7,8]=>[8,5,4,6,3,7,2,1]=>[1,8,6,4,3,5,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,3,5,4,6,2,7,8]=>[8,6,4,5,3,7,2,1]=>[1,8,6,4,5,3,7,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[1,3,4,5,6,2,7,8]=>[8,6,5,4,3,7,2,1]=>[1,8,6,5,4,3,7,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[1,8,4,5,6,7,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[1,8,4,5,6,7,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]
[1,2,5,6,4,3,7,8]=>[8,7,4,3,5,6,2,1]=>[1,8,5,4,6,7,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[1,2,4,6,5,3,7,8]=>[8,7,5,3,4,6,2,1]=>[1,8,5,6,4,7,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[1,2,5,4,6,3,7,8]=>[8,7,4,5,3,6,2,1]=>[1,8,6,4,5,7,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[1,2,4,5,6,3,7,8]=>[8,7,5,4,3,6,2,1]=>[1,8,6,5,4,7,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]
[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[1,8,5,6,7,2,3,4]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,2,1,5,6,4,7,8]=>[6,7,8,4,3,5,2,1]=>[1,8,6,5,7,2,3,4]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,3,1,5,6,4,7,8]=>[7,6,8,4,3,5,2,1]=>[1,8,6,5,7,3,2,4]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,3,2,5,6,4,7,8]=>[8,6,7,4,3,5,2,1]=>[1,8,6,5,7,3,4,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[1,8,5,6,7,4,3,2]=>[.,[[[[[.,.],[.,[.,.]]],.],.],.]]
[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[1,8,6,7,2,3,4,5]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,2,1,6,5,7,8]=>[6,5,7,8,3,4,2,1]=>[1,8,6,7,3,2,4,5]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,4,3,1,6,5,7,8]=>[7,5,6,8,3,4,2,1]=>[1,8,6,7,3,4,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,4,1,6,5,7,8]=>[6,7,5,8,3,4,2,1]=>[1,8,6,7,4,2,3,5]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[1,8,6,7,3,4,5,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[1,8,6,7,4,5,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,8,6,7,4,5,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[3,2,1,4,6,5,7,8]=>[6,7,8,5,3,4,2,1]=>[1,8,6,7,5,2,3,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[2,3,1,4,6,5,7,8]=>[7,6,8,5,3,4,2,1]=>[1,8,6,7,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,3,2,4,6,5,7,8]=>[8,6,7,5,3,4,2,1]=>[1,8,6,7,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[2,1,3,4,6,5,7,8]=>[7,8,6,5,3,4,2,1]=>[1,8,6,7,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[1,8,6,7,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[3,5,4,2,1,6,7,8]=>[6,4,5,7,8,3,2,1]=>[1,8,7,3,4,2,5,6]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,5,4,3,1,6,7,8]=>[7,4,5,6,8,3,2,1]=>[1,8,7,3,4,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,4,5,3,1,6,7,8]=>[7,5,4,6,8,3,2,1]=>[1,8,7,4,3,5,2,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,2,5,4,1,6,7,8]=>[6,7,4,5,8,3,2,1]=>[1,8,7,4,5,2,3,6]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,3,5,4,1,6,7,8]=>[7,6,4,5,8,3,2,1]=>[1,8,7,4,5,3,2,6]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,4,3,5,1,6,7,8]=>[7,5,6,4,8,3,2,1]=>[1,8,7,5,3,4,2,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[1,8,7,3,4,5,6,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[1,4,5,3,2,6,7,8]=>[8,5,4,6,7,3,2,1]=>[1,8,7,4,3,5,6,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,3,5,4,2,6,7,8]=>[8,6,4,5,7,3,2,1]=>[1,8,7,4,5,3,6,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[1,4,3,5,2,6,7,8]=>[8,5,6,4,7,3,2,1]=>[1,8,7,5,3,4,6,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,3,4,5,2,6,7,8]=>[8,6,5,4,7,3,2,1]=>[1,8,7,5,4,3,6,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[2,1,5,4,3,6,7,8]=>[7,8,4,5,6,3,2,1]=>[1,8,7,4,5,6,2,3]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[2,1,4,5,3,6,7,8]=>[7,8,5,4,6,3,2,1]=>[1,8,7,5,4,6,2,3]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[1,8,7,4,5,6,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[1,2,4,5,3,6,7,8]=>[8,7,5,4,6,3,2,1]=>[1,8,7,5,4,6,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]
[3,2,1,5,4,6,7,8]=>[6,7,8,4,5,3,2,1]=>[1,8,7,5,6,2,3,4]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[1,8,7,5,6,3,4,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[2,1,3,5,4,6,7,8]=>[7,8,6,4,5,3,2,1]=>[1,8,7,5,6,4,2,3]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,8,7,5,6,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[2,4,3,1,5,6,7,8]=>[7,5,6,8,4,3,2,1]=>[1,8,7,6,3,4,2,5]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[1,8,7,6,3,4,5,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[1,3,4,2,5,6,7,8]=>[8,6,5,7,4,3,2,1]=>[1,8,7,6,4,3,5,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[1,8,7,6,4,5,2,3]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[1,8,7,6,4,5,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]
[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[1,8,7,6,5,3,4,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[6,8,7,1,5,4,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[1,2,3,5,8,6,7,4]=>[8,7,6,4,1,3,2,5]=>[6,8,7,5,1,4,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[1,2,3,7,5,6,4,8]=>[8,7,6,2,4,3,5,1]=>[1,5,7,6,8,4,3,2]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]]
[1,2,3,7,5,6,8,4]=>[8,7,6,2,4,3,1,5]=>[8,5,7,6,1,4,3,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[5,7,8,6,1,4,3,2]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[5,8,6,7,1,4,3,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,2,3,8,6,7,5,4]=>[8,7,6,1,3,2,4,5]=>[5,7,6,8,1,4,3,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,2,4,5,8,6,7,3]=>[8,7,5,4,1,3,2,6]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[1,2,4,7,5,6,8,3]=>[8,7,5,2,4,3,1,6]=>[8,5,7,6,4,1,3,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[1,2,4,8,5,6,7,3]=>[8,7,5,1,4,3,2,6]=>[5,8,7,6,4,1,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[1,2,4,8,6,5,7,3]=>[8,7,5,1,3,4,2,6]=>[5,8,6,7,4,1,3,2]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[1,2,5,4,8,6,7,3]=>[8,7,4,5,1,3,2,6]=>[6,8,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[1,8,4,6,5,7,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,2,6,4,5,7,3,8]=>[8,7,3,5,4,2,6,1]=>[1,7,4,6,5,8,3,2]=>[.,[[[[.,.],[[.,.],[.,.]]],.],.]]
[1,2,6,4,5,7,8,3]=>[8,7,3,5,4,2,1,6]=>[8,7,4,6,5,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[1,4,7,6,5,8,3,2]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]
[1,2,7,4,5,6,8,3]=>[8,7,2,5,4,3,1,6]=>[8,4,7,6,5,1,3,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[1,2,8,4,5,6,7,3]=>[8,7,1,5,4,3,2,6]=>[4,8,7,6,5,1,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[4,7,8,6,5,1,3,2]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[1,2,7,4,6,5,8,3]=>[8,7,2,5,3,4,1,6]=>[8,4,6,7,5,1,3,2]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[4,6,7,8,5,1,3,2]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[1,4,7,5,6,8,3,2]=>[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]
[1,2,7,5,4,6,8,3]=>[8,7,2,4,5,3,1,6]=>[8,4,7,5,6,1,3,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[4,8,7,5,6,1,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[1,2,8,5,4,7,6,3]=>[8,7,1,4,5,2,3,6]=>[4,7,8,5,6,1,3,2]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[1,2,7,5,6,4,8,3]=>[8,7,2,4,3,5,1,6]=>[8,4,6,5,7,1,3,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,2,8,5,6,4,7,3]=>[8,7,1,4,3,5,2,6]=>[4,8,6,5,7,1,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[1,2,8,5,6,7,4,3]=>[8,7,1,4,3,2,5,6]=>[4,7,6,5,8,1,3,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[1,2,8,6,5,7,4,3]=>[8,7,1,3,4,2,5,6]=>[4,7,5,6,8,1,3,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[4,5,7,6,8,1,3,2]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[1,3,2,5,8,6,7,4]=>[8,6,7,4,1,3,2,5]=>[6,8,7,5,1,3,4,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[1,3,2,7,5,6,4,8]=>[8,6,7,2,4,3,5,1]=>[1,5,7,6,8,3,4,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[5,8,7,6,1,3,4,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[5,7,8,6,1,3,4,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,3,4,5,8,6,7,2]=>[8,6,5,4,1,3,2,7]=>[6,8,7,5,4,3,1,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[1,3,4,7,5,6,8,2]=>[8,6,5,2,4,3,1,7]=>[8,5,7,6,4,3,1,2]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[1,3,4,8,5,6,7,2]=>[8,6,5,1,4,3,2,7]=>[5,8,7,6,4,3,1,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[1,3,4,8,6,5,7,2]=>[8,6,5,1,3,4,2,7]=>[5,8,6,7,4,3,1,2]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[1,3,5,4,8,6,7,2]=>[8,6,4,5,1,3,2,7]=>[6,8,7,4,5,3,1,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[1,3,6,4,5,2,7,8]=>[8,6,3,5,4,7,2,1]=>[1,8,4,6,5,3,7,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,3,6,4,5,2,8,7]=>[8,6,3,5,4,7,1,2]=>[8,1,4,6,5,3,7,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[1,3,6,4,5,7,8,2]=>[8,6,3,5,4,2,1,7]=>[8,7,4,6,5,3,1,2]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,3,6,4,5,8,7,2]=>[8,6,3,5,4,1,2,7]=>[7,8,4,6,5,3,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[1,3,8,4,5,6,7,2]=>[8,6,1,5,4,3,2,7]=>[4,8,7,6,5,3,1,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]
[1,3,7,4,6,5,2,8]=>[8,6,2,5,3,4,7,1]=>[1,4,6,7,5,3,8,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,3,7,4,6,5,8,2]=>[8,6,2,5,3,4,1,7]=>[8,4,6,7,5,3,1,2]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]
[1,3,8,4,6,7,5,2]=>[8,6,1,5,3,2,4,7]=>[4,7,6,8,5,3,1,2]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]
[1,3,8,5,4,6,7,2]=>[8,6,1,4,5,3,2,7]=>[4,8,7,5,6,3,1,2]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[1,3,8,5,7,6,4,2]=>[8,6,1,4,2,3,5,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[1,3,8,6,5,7,4,2]=>[8,6,1,3,4,2,5,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[1,3,8,7,5,6,4,2]=>[8,6,1,2,4,3,5,7]=>[4,5,7,6,8,3,1,2]=>[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]
[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[6,8,7,1,3,4,5,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[1,4,3,5,8,6,7,2]=>[8,5,6,4,1,3,2,7]=>[6,8,7,5,3,4,1,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[1,4,3,8,5,6,7,2]=>[8,5,6,1,4,3,2,7]=>[5,8,7,6,3,4,1,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[1,4,3,8,5,7,6,2]=>[8,5,6,1,4,2,3,7]=>[5,7,8,6,3,4,1,2]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[1,4,3,8,6,5,7,2]=>[8,5,6,1,3,4,2,7]=>[5,8,6,7,3,4,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,4,3,8,6,7,5,2]=>[8,5,6,1,3,2,4,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,5,3,4,2,6,7,8]=>[8,4,6,5,7,3,2,1]=>[1,8,7,3,5,4,6,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]
[1,5,3,4,2,6,8,7]=>[8,4,6,5,7,3,1,2]=>[8,1,7,3,5,4,6,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[1,7,8,3,5,4,6,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,5,3,4,2,7,8,6]=>[8,4,6,5,7,2,1,3]=>[8,7,1,3,5,4,6,2]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[7,8,1,3,5,4,6,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]
[1,5,3,4,6,7,2,8]=>[8,4,6,5,3,2,7,1]=>[1,7,6,3,5,4,8,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]
[1,5,3,4,6,7,8,2]=>[8,4,6,5,3,2,1,7]=>[8,7,6,3,5,4,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,5,3,4,7,6,2,8]=>[8,4,6,5,2,3,7,1]=>[1,6,7,3,5,4,8,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[1,8,3,6,5,4,7,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[1,6,3,4,5,7,2,8]=>[8,3,6,5,4,2,7,1]=>[1,7,3,6,5,4,8,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[1,6,3,4,5,8,7,2]=>[8,3,6,5,4,1,2,7]=>[7,8,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[3,8,7,6,5,4,1,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[3,6,7,8,5,4,1,2]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[1,6,3,5,4,2,7,8]=>[8,3,6,4,5,7,2,1]=>[1,8,3,5,6,4,7,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[3,8,7,5,6,4,1,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]
[1,8,3,5,6,4,7,2]=>[8,1,6,4,3,5,2,7]=>[3,8,6,5,7,4,1,2]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]
[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[1,3,5,6,7,4,8,2]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]
[1,7,3,6,5,4,8,2]=>[8,2,6,3,4,5,1,7]=>[8,3,5,6,7,4,1,2]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[3,8,5,6,7,4,1,2]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[1,8,3,6,5,7,4,2]=>[8,1,6,3,4,2,5,7]=>[3,7,5,6,8,4,1,2]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[3,5,6,7,8,4,1,2]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[1,8,3,6,4,5,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,6,4,3,5,8,7,2]=>[8,3,5,6,4,1,2,7]=>[7,8,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[1,7,4,3,5,6,8,2]=>[8,2,5,6,4,3,1,7]=>[8,3,7,6,4,5,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[3,8,7,6,4,5,1,2]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[1,7,4,3,6,5,2,8]=>[8,2,5,6,3,4,7,1]=>[1,3,6,7,4,5,8,2]=>[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]
[1,8,4,3,6,7,5,2]=>[8,1,5,6,3,2,4,7]=>[3,7,6,8,4,5,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[1,6,4,5,3,2,7,8]=>[8,3,5,4,6,7,2,1]=>[1,8,3,5,4,6,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[1,8,4,5,7,6,3,2]=>[8,1,5,4,2,3,6,7]=>[3,6,7,5,4,8,1,2]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[1,8,4,6,5,7,3,2]=>[8,1,5,3,4,2,6,7]=>[3,7,5,6,4,8,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[1,8,4,7,5,6,3,2]=>[8,1,5,2,4,3,6,7]=>[3,5,7,6,4,8,1,2]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]
[1,7,5,4,3,6,2,8]=>[8,2,4,5,6,3,7,1]=>[1,3,7,4,5,6,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,7,5,4,3,6,8,2]=>[8,2,4,5,6,3,1,7]=>[8,3,7,4,5,6,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[3,8,7,4,5,6,1,2]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[3,7,8,4,5,6,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[1,7,5,4,6,3,2,8]=>[8,2,4,5,3,6,7,1]=>[1,3,6,4,5,7,8,2]=>[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]
[1,8,5,4,7,6,3,2]=>[8,1,4,5,2,3,6,7]=>[3,6,7,4,5,8,1,2]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]
[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[3,8,4,6,5,7,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[1,8,6,4,5,7,3,2]=>[8,1,3,5,4,2,6,7]=>[3,7,4,6,5,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[3,4,6,7,5,8,1,2]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[1,8,6,5,4,7,3,2]=>[8,1,3,4,5,2,6,7]=>[3,7,4,5,6,8,1,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,1,3,4,8,6,7,5]=>[7,8,6,5,1,3,2,4]=>[6,8,7,1,5,4,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[5,8,7,6,1,4,2,3]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[5,7,8,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[2,1,3,8,6,5,7,4]=>[7,8,6,1,3,4,2,5]=>[5,8,6,7,1,4,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,1,3,8,6,7,5,4]=>[7,8,6,1,3,2,4,5]=>[5,7,6,8,1,4,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,1,4,8,5,6,7,3]=>[7,8,5,1,4,3,2,6]=>[5,8,7,6,4,1,2,3]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[2,1,4,8,5,7,6,3]=>[7,8,5,1,4,2,3,6]=>[5,7,8,6,4,1,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[2,1,4,8,6,5,7,3]=>[7,8,5,1,3,4,2,6]=>[5,8,6,7,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,1,4,8,6,7,5,3]=>[7,8,5,1,3,2,4,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,1,6,4,5,3,7,8]=>[7,8,3,5,4,6,2,1]=>[1,8,4,6,5,7,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[8,1,4,6,5,7,2,3]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[1,4,7,6,5,8,2,3]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,1,7,4,5,6,8,3]=>[7,8,2,5,4,3,1,6]=>[8,4,7,6,5,1,2,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[2,1,8,4,5,6,7,3]=>[7,8,1,5,4,3,2,6]=>[4,8,7,6,5,1,2,3]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[4,7,8,6,5,1,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]
[2,1,7,4,6,5,8,3]=>[7,8,2,5,3,4,1,6]=>[8,4,6,7,5,1,2,3]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[4,8,7,5,6,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[4,7,8,5,6,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,1,7,5,6,4,8,3]=>[7,8,2,4,3,5,1,6]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,1,8,5,6,4,7,3]=>[7,8,1,4,3,5,2,6]=>[4,8,6,5,7,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,1,8,5,6,7,4,3]=>[7,8,1,4,3,2,5,6]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,1,8,5,7,6,4,3]=>[7,8,1,4,2,3,5,6]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,1,8,6,5,7,4,3]=>[7,8,1,3,4,2,5,6]=>[4,7,5,6,8,1,2,3]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[4,5,7,6,8,1,2,3]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[2,3,1,4,8,6,7,5]=>[7,6,8,5,1,3,2,4]=>[6,8,7,1,5,3,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,1,5,8,6,7,4]=>[7,6,8,4,1,3,2,5]=>[6,8,7,5,1,3,2,4]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[2,3,1,8,5,6,7,4]=>[7,6,8,1,4,3,2,5]=>[5,8,7,6,1,3,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,3,1,8,5,7,6,4]=>[7,6,8,1,4,2,3,5]=>[5,7,8,6,1,3,2,4]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[2,3,1,8,6,5,7,4]=>[7,6,8,1,3,4,2,5]=>[5,8,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,1,8,6,7,5,4]=>[7,6,8,1,3,2,4,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,5,8,6,7,1]=>[7,6,5,4,1,3,2,8]=>[6,8,7,5,4,3,2,1]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]
[2,3,4,7,5,6,8,1]=>[7,6,5,2,4,3,1,8]=>[8,5,7,6,4,3,2,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[2,3,4,8,5,6,7,1]=>[7,6,5,1,4,3,2,8]=>[5,8,7,6,4,3,2,1]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]
[2,3,4,8,5,7,6,1]=>[7,6,5,1,4,2,3,8]=>[5,7,8,6,4,3,2,1]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.]
[2,3,4,8,6,5,7,1]=>[7,6,5,1,3,4,2,8]=>[5,8,6,7,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[2,3,4,8,6,7,5,1]=>[7,6,5,1,3,2,4,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[2,3,6,4,5,1,7,8]=>[7,6,3,5,4,8,2,1]=>[1,8,4,6,5,3,2,7]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,3,6,4,5,1,8,7]=>[7,6,3,5,4,8,1,2]=>[8,1,4,6,5,3,2,7]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,6,4,5,7,1,8]=>[7,6,3,5,4,2,8,1]=>[1,7,4,6,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,3,6,4,5,7,8,1]=>[7,6,3,5,4,2,1,8]=>[8,7,4,6,5,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[2,3,7,4,5,6,1,8]=>[7,6,2,5,4,3,8,1]=>[1,4,7,6,5,3,2,8]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]
[2,3,7,4,5,6,8,1]=>[7,6,2,5,4,3,1,8]=>[8,4,7,6,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
[2,3,8,4,5,6,7,1]=>[7,6,1,5,4,3,2,8]=>[4,8,7,6,5,3,2,1]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]
[2,3,7,4,6,5,8,1]=>[7,6,2,5,3,4,1,8]=>[8,4,6,7,5,3,2,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
[2,3,8,4,6,5,7,1]=>[7,6,1,5,3,4,2,8]=>[4,8,6,7,5,3,2,1]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]
[2,3,7,5,4,6,8,1]=>[7,6,2,4,5,3,1,8]=>[8,4,7,5,6,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[2,3,8,5,6,7,4,1]=>[7,6,1,4,3,2,5,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[2,3,8,5,7,6,4,1]=>[7,6,1,4,2,3,5,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[2,3,8,6,5,7,4,1]=>[7,6,1,3,4,2,5,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[2,3,8,7,5,6,4,1]=>[7,6,1,2,4,3,5,8]=>[4,5,7,6,8,3,2,1]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.]
[2,4,3,1,8,6,7,5]=>[7,5,6,8,1,3,2,4]=>[6,8,7,1,3,4,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,4,3,8,5,6,7,1]=>[7,5,6,1,4,3,2,8]=>[5,8,7,6,3,4,2,1]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]
[2,4,3,8,5,7,6,1]=>[7,5,6,1,4,2,3,8]=>[5,7,8,6,3,4,2,1]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[2,4,3,8,6,5,7,1]=>[7,5,6,1,3,4,2,8]=>[5,8,6,7,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[2,4,3,8,6,7,5,1]=>[7,5,6,1,3,2,4,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[2,5,3,4,1,6,7,8]=>[7,4,6,5,8,3,2,1]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,3,4,1,6,8,7]=>[7,4,6,5,8,3,1,2]=>[8,1,7,3,5,4,2,6]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,5,3,4,1,7,6,8]=>[7,4,6,5,8,2,3,1]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,5,3,4,6,1,7,8]=>[7,4,6,5,3,8,2,1]=>[1,8,6,3,5,4,2,7]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,3,4,6,7,1,8]=>[7,4,6,5,3,2,8,1]=>[1,7,6,3,5,4,2,8]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,3,4,6,7,8,1]=>[7,4,6,5,3,2,1,8]=>[8,7,6,3,5,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[2,5,3,4,7,6,8,1]=>[7,4,6,5,2,3,1,8]=>[8,6,7,3,5,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[2,5,3,4,8,6,7,1]=>[7,4,6,5,1,3,2,8]=>[6,8,7,3,5,4,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[2,5,3,4,8,7,6,1]=>[7,4,6,5,1,2,3,8]=>[6,7,8,3,5,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[2,6,3,4,5,1,8,7]=>[7,3,6,5,4,8,1,2]=>[8,1,3,6,5,4,2,7]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[2,6,3,4,5,7,1,8]=>[7,3,6,5,4,2,8,1]=>[1,7,3,6,5,4,2,8]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,6,3,4,5,7,8,1]=>[7,3,6,5,4,2,1,8]=>[8,7,3,6,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[2,7,3,4,5,6,8,1]=>[7,2,6,5,4,3,1,8]=>[8,3,7,6,5,4,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[2,8,3,4,5,6,7,1]=>[7,1,6,5,4,3,2,8]=>[3,8,7,6,5,4,2,1]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]
[2,8,3,4,5,7,6,1]=>[7,1,6,5,4,2,3,8]=>[3,7,8,6,5,4,2,1]=>[[[.,[[[[.,[.,.]],.],.],.]],.],.]
[2,7,3,4,6,5,1,8]=>[7,2,6,5,3,4,8,1]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[2,6,3,5,4,1,8,7]=>[7,3,6,4,5,8,1,2]=>[8,1,3,5,6,4,2,7]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[2,6,3,5,4,7,8,1]=>[7,3,6,4,5,2,1,8]=>[8,7,3,5,6,4,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[2,7,3,5,4,6,8,1]=>[7,2,6,4,5,3,1,8]=>[8,3,7,5,6,4,2,1]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[2,8,3,5,4,7,6,1]=>[7,1,6,4,5,2,3,8]=>[3,7,8,5,6,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[2,7,3,5,6,4,1,8]=>[7,2,6,4,3,5,8,1]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]
[2,7,3,5,6,4,8,1]=>[7,2,6,4,3,5,1,8]=>[8,3,6,5,7,4,2,1]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[2,8,3,5,6,7,4,1]=>[7,1,6,4,3,2,5,8]=>[3,7,6,5,8,4,2,1]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]
[2,7,3,6,5,4,1,8]=>[7,2,6,3,4,5,8,1]=>[1,3,5,6,7,4,2,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]
[2,8,3,7,6,5,4,1]=>[7,1,6,2,3,4,5,8]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,5,4,3,8,6,7,1]=>[7,4,5,6,1,3,2,8]=>[6,8,7,3,4,5,2,1]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[2,6,4,3,5,1,8,7]=>[7,3,5,6,4,8,1,2]=>[8,1,3,6,4,5,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,3,5,7,8,1]=>[7,3,5,6,4,2,1,8]=>[8,7,3,6,4,5,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[2,8,4,3,5,6,7,1]=>[7,1,5,6,4,3,2,8]=>[3,8,7,6,4,5,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[2,8,4,3,6,7,5,1]=>[7,1,5,6,3,2,4,8]=>[3,7,6,8,4,5,2,1]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[2,8,4,3,7,6,5,1]=>[7,1,5,6,2,3,4,8]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,6,4,5,3,1,8,7]=>[7,3,5,4,6,8,1,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,5,3,7,1,8]=>[7,3,5,4,6,2,8,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,4,5,3,7,8,1]=>[7,3,5,4,6,2,1,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[2,7,4,5,3,6,8,1]=>[7,2,5,4,6,3,1,8]=>[8,3,7,5,4,6,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,7,4,5,6,3,1,8]=>[7,2,5,4,3,6,8,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,7,4,5,6,3,8,1]=>[7,2,5,4,3,6,1,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,7,4,6,5,3,8,1]=>[7,2,5,3,4,6,1,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[2,8,4,7,5,6,3,1]=>[7,1,5,2,4,3,6,8]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[2,8,4,7,6,5,3,1]=>[7,1,5,2,3,4,6,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,7,5,4,3,6,1,8]=>[7,2,4,5,6,3,8,1]=>[1,3,7,4,5,6,2,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,7,5,4,3,6,8,1]=>[7,2,4,5,6,3,1,8]=>[8,3,7,4,5,6,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[2,8,5,4,3,7,6,1]=>[7,1,4,5,6,2,3,8]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,8,5,4,6,3,7,1]=>[7,1,4,5,3,6,2,8]=>[3,8,6,4,5,7,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[2,8,5,4,7,6,3,1]=>[7,1,4,5,2,3,6,8]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,8,7,4,6,5,3,1]=>[7,1,2,5,3,4,6,8]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,8,6,5,4,3,7,1]=>[7,1,3,4,5,6,2,8]=>[3,8,4,5,6,7,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,8,7,5,4,6,3,1]=>[7,1,2,4,5,3,6,8]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,8,7,5,6,4,3,1]=>[7,1,2,4,3,5,6,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[6,8,7,1,5,2,3,4]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[1,5,7,6,8,2,3,4]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[5,8,7,6,1,2,3,4]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[5,7,8,6,1,2,3,4]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[5,8,6,7,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,1,8,6,7,5,4]=>[6,7,8,1,3,2,4,5]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,7,5,6,8,1]=>[6,7,5,2,4,3,1,8]=>[8,5,7,6,4,2,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[3,2,4,8,5,6,7,1]=>[6,7,5,1,4,3,2,8]=>[5,8,7,6,4,2,3,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[3,2,4,8,6,7,5,1]=>[6,7,5,1,3,2,4,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[3,2,6,4,5,7,8,1]=>[6,7,3,5,4,2,1,8]=>[8,7,4,6,5,2,3,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,2,8,4,5,6,7,1]=>[6,7,1,5,4,3,2,8]=>[4,8,7,6,5,2,3,1]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]
[3,2,8,4,7,6,5,1]=>[6,7,1,5,2,3,4,8]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,7,5,6,4,1,8]=>[6,7,2,4,3,5,8,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[3,2,7,5,6,4,8,1]=>[6,7,2,4,3,5,1,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[3,2,8,5,6,4,7,1]=>[6,7,1,4,3,5,2,8]=>[4,8,6,5,7,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[3,2,8,5,6,7,4,1]=>[6,7,1,4,3,2,5,8]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[3,2,8,5,7,6,4,1]=>[6,7,1,4,2,3,5,8]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,2,8,6,5,7,4,1]=>[6,7,1,3,4,2,5,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,2,3,1,5,6,8,7]=>[5,7,6,8,4,3,1,2]=>[8,1,7,6,2,4,3,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[1,7,8,6,2,4,3,5]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[7,8,1,6,2,4,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[1,8,6,7,2,4,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[8,1,6,7,2,4,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,3,1,6,7,5,8]=>[5,7,6,8,3,2,4,1]=>[1,7,6,8,2,4,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,3,1,6,7,8,5]=>[5,7,6,8,3,2,1,4]=>[8,7,6,1,2,4,3,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[1,6,7,8,2,4,3,5]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[6,8,7,1,2,4,3,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[6,7,8,1,2,4,3,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,2,3,5,1,6,8,7]=>[5,7,6,4,8,3,1,2]=>[8,1,7,5,2,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,2,3,5,1,8,7,6]=>[5,7,6,4,8,1,2,3]=>[7,8,1,5,2,4,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,3,5,6,8,7,1]=>[5,7,6,4,3,1,2,8]=>[7,8,6,5,2,4,3,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[4,2,3,5,7,6,8,1]=>[5,7,6,4,2,3,1,8]=>[8,6,7,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[4,2,3,6,5,1,8,7]=>[5,7,6,3,4,8,1,2]=>[8,1,5,6,2,4,3,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,3,6,5,8,7,1]=>[5,7,6,3,4,1,2,8]=>[7,8,5,6,2,4,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[4,2,3,7,5,6,8,1]=>[5,7,6,2,4,3,1,8]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,2,3,8,5,6,7,1]=>[5,7,6,1,4,3,2,8]=>[5,8,7,6,2,4,3,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[4,2,3,7,6,5,8,1]=>[5,7,6,2,3,4,1,8]=>[8,5,6,7,2,4,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[4,2,3,8,7,6,5,1]=>[5,7,6,1,2,3,4,8]=>[5,6,7,8,2,4,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,3,4,1,6,8,7]=>[4,7,6,5,8,3,1,2]=>[8,1,7,2,5,4,3,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[1,7,8,2,5,4,3,6]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,2,3,4,1,7,8,6]=>[4,7,6,5,8,2,1,3]=>[8,7,1,2,5,4,3,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[7,8,1,2,5,4,3,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[5,2,3,4,7,6,8,1]=>[4,7,6,5,2,3,1,8]=>[8,6,7,2,5,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,2,3,4,8,6,7,1]=>[4,7,6,5,1,3,2,8]=>[6,8,7,2,5,4,3,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[5,2,3,4,8,7,6,1]=>[4,7,6,5,1,2,3,8]=>[6,7,8,2,5,4,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,2,3,4,5,1,8,7]=>[3,7,6,5,4,8,1,2]=>[8,1,2,6,5,4,3,7]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[6,2,3,4,5,8,7,1]=>[3,7,6,5,4,1,2,8]=>[7,8,2,6,5,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[2,7,8,6,5,4,3,1]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]
[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[7,2,3,4,6,5,8,1]=>[2,7,6,5,3,4,1,8]=>[8,2,6,7,5,4,3,1]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]
[8,2,3,4,6,5,7,1]=>[1,7,6,5,3,4,2,8]=>[2,8,6,7,5,4,3,1]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[8,2,3,4,6,7,5,1]=>[1,7,6,5,3,2,4,8]=>[2,7,6,8,5,4,3,1]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[8,2,3,4,7,6,5,1]=>[1,7,6,5,2,3,4,8]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[1,8,2,5,6,4,3,7]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[6,2,3,5,4,1,8,7]=>[3,7,6,4,5,8,1,2]=>[8,1,2,5,6,4,3,7]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]
[6,2,3,5,4,7,1,8]=>[3,7,6,4,5,2,8,1]=>[1,7,2,5,6,4,3,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[2,8,7,5,6,4,3,1]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]
[8,2,3,5,7,6,4,1]=>[1,7,6,4,2,3,5,8]=>[2,6,7,5,8,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[1,2,5,6,7,4,3,8]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[7,2,3,6,5,4,8,1]=>[2,7,6,3,4,5,1,8]=>[8,2,5,6,7,4,3,1]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[2,8,5,6,7,4,3,1]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[8,2,3,6,5,7,4,1]=>[1,7,6,3,4,2,5,8]=>[2,7,5,6,8,4,3,1]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[2,5,6,7,8,4,3,1]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[1,8,7,2,4,5,3,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[8,1,7,2,4,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[1,7,8,2,4,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,2,4,3,6,1,8,7]=>[4,7,5,6,3,8,1,2]=>[8,1,6,2,4,5,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,4,3,6,7,1,8]=>[4,7,5,6,3,2,8,1]=>[1,7,6,2,4,5,3,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[8,1,2,6,4,5,3,7]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,3,5,7,8,1]=>[3,7,5,6,4,2,1,8]=>[8,7,2,6,4,5,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[6,2,4,3,5,8,7,1]=>[3,7,5,6,4,1,2,8]=>[7,8,2,6,4,5,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[2,8,7,6,4,5,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[6,2,4,5,3,1,8,7]=>[3,7,5,4,6,8,1,2]=>[8,1,2,5,4,6,3,7]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[6,2,4,5,3,7,1,8]=>[3,7,5,4,6,2,8,1]=>[1,7,2,5,4,6,3,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,2,4,5,3,6,1,8]=>[2,7,5,4,6,3,8,1]=>[1,2,7,5,4,6,3,8]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[8,2,4,5,3,7,6,1]=>[1,7,5,4,6,2,3,8]=>[2,7,8,5,4,6,3,1]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]
[7,2,4,5,6,3,8,1]=>[2,7,5,4,3,6,1,8]=>[8,2,6,5,4,7,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[8,2,4,5,6,7,3,1]=>[1,7,5,4,3,2,6,8]=>[2,7,6,5,4,8,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[7,2,4,6,5,3,1,8]=>[2,7,5,3,4,6,8,1]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,2,4,7,6,5,3,1]=>[1,7,5,2,3,4,6,8]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[8,1,2,4,5,6,3,7]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[6,2,5,4,3,7,1,8]=>[3,7,4,5,6,2,8,1]=>[1,7,2,4,5,6,3,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[6,2,5,4,3,7,8,1]=>[3,7,4,5,6,2,1,8]=>[8,7,2,4,5,6,3,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[7,2,5,4,3,6,8,1]=>[2,7,4,5,6,3,1,8]=>[8,2,7,4,5,6,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[8,2,5,4,3,6,7,1]=>[1,7,4,5,6,3,2,8]=>[2,8,7,4,5,6,3,1]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[8,2,5,4,3,7,6,1]=>[1,7,4,5,6,2,3,8]=>[2,7,8,4,5,6,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[7,2,5,4,6,3,8,1]=>[2,7,4,5,3,6,1,8]=>[8,2,6,4,5,7,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[8,2,5,4,6,7,3,1]=>[1,7,4,5,3,2,6,8]=>[2,7,6,4,5,8,3,1]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,2,6,4,5,7,3,1]=>[1,7,3,5,4,2,6,8]=>[2,7,4,6,5,8,3,1]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,2,6,5,4,3,1,8]=>[2,7,3,4,5,6,8,1]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[7,2,6,5,4,3,8,1]=>[2,7,3,4,5,6,1,8]=>[8,2,4,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[2,8,4,5,6,7,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[8,2,6,5,4,7,3,1]=>[1,7,3,4,5,2,6,8]=>[2,7,4,5,6,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[8,2,7,5,6,4,3,1]=>[1,7,2,4,3,5,6,8]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[6,8,7,1,2,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[4,3,2,7,5,6,1,8]=>[5,6,7,2,4,3,8,1]=>[1,5,7,6,2,3,4,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,3,2,7,5,6,8,1]=>[5,6,7,2,4,3,1,8]=>[8,5,7,6,2,3,4,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[4,3,2,8,5,6,7,1]=>[5,6,7,1,4,3,2,8]=>[5,8,7,6,2,3,4,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[4,3,2,8,5,7,6,1]=>[5,6,7,1,4,2,3,8]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[8,1,7,2,5,3,4,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[1,7,8,2,5,3,4,6]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,2,4,1,7,8,6]=>[4,6,7,5,8,2,1,3]=>[8,7,1,2,5,3,4,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[7,8,1,2,5,3,4,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,2,4,6,1,8,7]=>[4,6,7,5,3,8,1,2]=>[8,1,6,2,5,3,4,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,4,7,6,1,8]=>[4,6,7,5,2,3,8,1]=>[1,6,7,2,5,3,4,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[8,1,2,6,5,3,4,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,3,2,4,6,5,8,1]=>[2,6,7,5,3,4,1,8]=>[8,2,6,7,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[8,3,2,4,6,7,5,1]=>[1,6,7,5,3,2,4,8]=>[2,7,6,8,5,3,4,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[8,3,2,4,7,6,5,1]=>[1,6,7,5,2,3,4,8]=>[2,6,7,8,5,3,4,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[1,8,2,5,6,3,4,7]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[8,1,2,5,6,3,4,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,5,4,7,1,8]=>[3,6,7,4,5,2,8,1]=>[1,7,2,5,6,3,4,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,2,5,4,6,1,8]=>[2,6,7,4,5,3,8,1]=>[1,2,7,5,6,3,4,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,3,2,5,4,6,8,1]=>[2,6,7,4,5,3,1,8]=>[8,2,7,5,6,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[2,8,7,5,6,3,4,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[2,7,8,5,6,3,4,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[8,3,2,5,6,7,4,1]=>[1,6,7,4,3,2,5,8]=>[2,7,6,5,8,3,4,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[8,3,2,6,5,7,4,1]=>[1,6,7,3,4,2,5,8]=>[2,7,5,6,8,3,4,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[8,3,2,7,5,6,4,1]=>[1,6,7,2,4,3,5,8]=>[2,5,7,6,8,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,4,2,1,6,8,7]=>[4,6,5,7,8,3,1,2]=>[8,1,7,2,4,3,5,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,2,1,7,6,8]=>[4,6,5,7,8,2,3,1]=>[1,7,8,2,4,3,5,6]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,4,2,1,7,8,6]=>[4,6,5,7,8,2,1,3]=>[8,7,1,2,4,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,3,4,2,6,1,8,7]=>[4,6,5,7,3,8,1,2]=>[8,1,6,2,4,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,2,8,6,7,1]=>[4,6,5,7,1,3,2,8]=>[6,8,7,2,4,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,3,4,2,8,7,6,1]=>[4,6,5,7,1,2,3,8]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,3,4,2,6,5,1,8]=>[2,6,5,7,3,4,8,1]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,4,2,6,5,7,1]=>[1,6,5,7,3,4,2,8]=>[2,8,6,7,4,3,5,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[8,3,4,2,6,7,5,1]=>[1,6,5,7,3,2,4,8]=>[2,7,6,8,4,3,5,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[8,3,4,2,7,6,5,1]=>[1,6,5,7,2,3,4,8]=>[2,6,7,8,4,3,5,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,3,4,5,2,1,8,7]=>[3,6,5,4,7,8,1,2]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,4,5,2,8,7,1]=>[3,6,5,4,7,1,2,8]=>[7,8,2,5,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,3,4,6,5,7,2,1]=>[1,6,5,3,4,2,7,8]=>[2,7,5,6,4,3,8,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[8,3,4,7,6,5,2,1]=>[1,6,5,2,3,4,7,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,3,5,4,2,7,1,8]=>[3,6,4,5,7,2,8,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,2,7,8,1]=>[3,6,4,5,7,2,1,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[7,3,5,4,2,6,8,1]=>[2,6,4,5,7,3,1,8]=>[8,2,7,4,5,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[8,3,5,4,2,7,6,1]=>[1,6,4,5,7,2,3,8]=>[2,7,8,4,5,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[8,3,5,4,6,7,2,1]=>[1,6,4,5,3,2,7,8]=>[2,7,6,4,5,3,8,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[7,3,6,4,5,2,1,8]=>[2,6,3,5,4,7,8,1]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[8,3,6,4,5,2,7,1]=>[1,6,3,5,4,7,2,8]=>[2,8,4,6,5,3,7,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[8,3,6,4,5,7,2,1]=>[1,6,3,5,4,2,7,8]=>[2,7,4,6,5,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[8,3,7,4,6,5,2,1]=>[1,6,2,5,3,4,7,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,3,6,5,4,2,1,8]=>[2,6,3,4,5,7,8,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,6,5,4,2,7,1]=>[1,6,3,4,5,7,2,8]=>[2,8,4,5,6,3,7,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[8,3,6,5,4,7,2,1]=>[1,6,3,4,5,2,7,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[8,3,7,5,4,6,2,1]=>[1,6,2,4,5,3,7,8]=>[2,4,7,5,6,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,3,7,5,6,4,2,1]=>[1,6,2,4,3,5,7,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,3,7,6,5,4,2,1]=>[1,6,2,3,4,5,7,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,2,8,6,7,1]=>[4,5,6,7,1,3,2,8]=>[6,8,7,2,3,4,5,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,4,3,2,5,1,8,7]=>[3,5,6,7,4,8,1,2]=>[8,1,2,6,3,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,5,2,1,8,7]=>[3,5,6,4,7,8,1,2]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,4,3,5,7,6,2,1]=>[1,5,6,4,2,3,7,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[7,4,3,6,5,2,1,8]=>[2,5,6,3,4,7,8,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,3,6,5,2,7,1]=>[1,5,6,3,4,7,2,8]=>[2,8,5,6,3,4,7,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[8,1,2,3,5,4,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,3,4,2,8,7,1]=>[3,4,6,5,7,1,2,8]=>[7,8,2,3,5,4,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[2,3,7,5,6,4,8,1]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,4,6,5,3,2,1]=>[1,2,5,3,4,6,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[8,1,5,7,4,6,2,3]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,3,5,8,7]=>[7,5,8,3,6,4,1,2]=>[8,1,5,7,3,6,2,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,1,3,5,8,7]=>[7,5,3,8,6,4,1,2]=>[8,1,4,7,3,6,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,1,4,6,3,8,5,7]=>[7,8,5,3,6,1,4,2]=>[7,1,5,8,4,6,2,3]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[7,1,5,8,3,6,2,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,1,3,8,5,7]=>[7,5,3,8,6,1,4,2]=>[7,1,4,8,3,6,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,6,8,3,5,7]=>[7,5,8,3,1,6,4,2]=>[6,1,5,8,3,7,2,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[5,1,4,8,3,7,2,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,3,6,5,7,8]=>[7,5,8,6,3,4,2,1]=>[1,8,6,7,3,5,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,4,6,3,5,7,8]=>[7,8,5,3,6,4,2,1]=>[1,8,5,7,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,4,1,6,3,5,7,8]=>[7,5,8,3,6,4,2,1]=>[1,8,5,7,3,6,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,4,6,1,3,5,7,8]=>[7,5,3,8,6,4,2,1]=>[1,8,4,7,3,6,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,1,4,6,3,7,5,8]=>[7,8,5,3,6,2,4,1]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,4,6,1,3,7,5,8]=>[7,5,3,8,6,2,4,1]=>[1,7,4,8,3,6,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,4,6,7,1,3,5,8]=>[7,5,3,2,8,6,4,1]=>[1,5,4,8,3,7,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[2,4,1,3,6,7,8,5]=>[7,5,8,6,3,2,1,4]=>[8,7,6,1,3,5,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,1,4,6,3,7,8,5]=>[7,8,5,3,6,2,1,4]=>[8,7,5,1,4,6,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,1,6,3,7,8,5]=>[7,5,8,3,6,2,1,4]=>[8,7,5,1,3,6,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,6,1,7,3,8,5]=>[7,5,3,8,2,6,1,4]=>[8,6,4,1,3,7,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,6,7,1,3,8,5]=>[7,5,3,2,8,6,1,4]=>[8,5,4,1,3,7,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,1,4,6,7,8,3,5]=>[7,8,5,3,2,1,6,4]=>[7,6,5,1,4,8,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,1,6,7,8,3,5]=>[7,5,8,3,2,1,6,4]=>[7,6,5,1,3,8,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,6,1,7,8,3,5]=>[7,5,3,8,2,1,6,4]=>[7,6,4,1,3,8,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,6,7,1,8,3,5]=>[7,5,3,2,8,1,6,4]=>[7,5,4,1,3,8,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,6,7,8,1,3,5]=>[7,5,3,2,1,8,6,4]=>[6,5,4,1,3,8,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,1,4,3,7,5,8,6]=>[7,8,5,6,2,4,1,3]=>[8,6,1,7,4,5,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[8,6,1,7,3,5,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,7,3,5,8,6]=>[7,8,5,2,6,4,1,3]=>[8,5,1,7,4,6,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,7,1,3,5,8,6]=>[7,5,2,8,6,4,1,3]=>[8,4,1,7,3,6,2,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[7,6,1,8,4,5,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,3,7,8,5,6]=>[7,5,8,6,2,1,4,3]=>[7,6,1,8,3,5,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,7,8,3,5,6]=>[7,5,8,2,1,6,4,3]=>[6,5,1,8,3,7,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,7,3,5,6,8]=>[7,8,5,2,6,4,3,1]=>[1,5,8,7,4,6,2,3]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[2,4,5,1,7,3,6,8]=>[7,5,4,8,2,6,3,1]=>[1,6,8,4,3,7,2,5]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,4,1,3,5,7,8,6]=>[7,5,8,6,4,2,1,3]=>[8,7,1,6,3,5,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,5,3,7,8,6]=>[7,5,8,4,6,2,1,3]=>[8,7,1,5,3,6,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,1,3,7,8,6]=>[7,5,4,8,6,2,1,3]=>[8,7,1,4,3,6,2,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,5,7,3,8,6]=>[7,8,5,4,2,6,1,3]=>[8,6,1,5,4,7,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,5,7,3,8,6]=>[7,5,8,4,2,6,1,3]=>[8,6,1,5,3,7,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,1,7,3,8,6]=>[7,5,4,8,2,6,1,3]=>[8,6,1,4,3,7,2,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,7,1,3,8,6]=>[7,5,4,2,8,6,1,3]=>[8,5,1,4,3,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,5,7,8,3,6]=>[7,8,5,4,2,1,6,3]=>[7,6,1,5,4,8,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,1,7,8,3,6]=>[7,5,4,8,2,1,6,3]=>[7,6,1,4,3,8,2,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,7,8,1,3,6]=>[7,5,4,2,1,8,6,3]=>[6,5,1,4,3,8,2,7]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,1,4,3,8,5,6,7]=>[7,8,5,6,1,4,3,2]=>[6,1,8,7,4,5,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,1,4,8,3,5,6,7]=>[7,8,5,1,6,4,3,2]=>[5,1,8,7,4,6,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,1,4,3,5,8,6,7]=>[7,8,5,6,4,1,3,2]=>[7,1,8,6,4,5,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,3,5,8,6,7]=>[7,5,8,6,4,1,3,2]=>[7,1,8,6,3,5,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,1,3,8,6,7]=>[7,5,4,8,6,1,3,2]=>[7,1,8,4,3,6,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,5,8,3,6,7]=>[7,5,8,4,1,6,3,2]=>[6,1,8,5,3,7,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,1,8,3,6,7]=>[7,5,4,8,1,6,3,2]=>[6,1,8,4,3,7,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,8,1,3,6,7]=>[7,5,4,1,8,6,3,2]=>[5,1,8,4,3,7,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,5,3,6,8,7]=>[7,5,8,4,6,3,1,2]=>[8,1,7,5,3,6,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,5,6,3,8,7]=>[7,5,8,4,3,6,1,2]=>[8,1,6,5,3,7,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,1,6,3,8,7]=>[7,5,4,8,3,6,1,2]=>[8,1,6,4,3,7,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,6,1,3,8,7]=>[7,5,4,3,8,6,1,2]=>[8,1,5,4,3,7,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,1,4,5,6,8,3,7]=>[7,8,5,4,3,1,6,2]=>[7,1,6,5,4,8,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,6,1,8,3,7]=>[7,5,4,3,8,1,6,2]=>[7,1,5,4,3,8,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,6,8,1,3,7]=>[7,5,4,3,1,8,6,2]=>[6,1,5,4,3,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[1,8,7,6,3,5,2,4]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,5,1,3,6,7,8]=>[7,5,4,8,6,3,2,1]=>[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,1,5,6,3,7,8]=>[7,5,8,4,3,6,2,1]=>[1,8,6,5,3,7,2,4]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,5,1,6,3,7,8]=>[7,5,4,8,3,6,2,1]=>[1,8,6,4,3,7,2,5]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,5,6,1,3,7,8]=>[7,5,4,3,8,6,2,1]=>[1,8,5,4,3,7,2,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,1,5,6,7,3,8]=>[7,5,8,4,3,2,6,1]=>[1,7,6,5,3,8,2,4]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,5,1,6,7,3,8]=>[7,5,4,8,3,2,6,1]=>[1,7,6,4,3,8,2,5]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,5,6,1,7,3,8]=>[7,5,4,3,8,2,6,1]=>[1,7,5,4,3,8,2,6]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,5,6,7,1,3,8]=>[7,5,4,3,2,8,6,1]=>[1,6,5,4,3,8,2,7]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,1,5,6,7,8,3]=>[7,5,8,4,3,2,1,6]=>[8,7,6,5,3,1,2,4]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[2,4,5,1,6,7,8,3]=>[7,5,4,8,3,2,1,6]=>[8,7,6,4,3,1,2,5]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[2,4,5,6,1,7,8,3]=>[7,5,4,3,8,2,1,6]=>[8,7,5,4,3,1,2,6]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[8,6,5,4,3,1,2,7]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[2,4,5,6,7,8,1,3]=>[7,5,4,3,2,1,8,6]=>[7,6,5,4,3,1,2,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[8,1,6,4,7,5,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[8,1,5,4,7,6,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,3,6,8,4,7]=>[7,8,4,6,3,1,5,2]=>[7,1,6,4,8,5,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[7,1,6,3,8,5,2,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,6,8,3,4,7]=>[7,4,8,3,1,6,5,2]=>[6,1,5,3,8,7,2,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[6,1,4,3,8,7,2,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,3,6,4,7,8]=>[7,8,4,6,3,5,2,1]=>[1,8,6,4,7,5,2,3]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,1,3,6,4,7,8]=>[7,4,8,6,3,5,2,1]=>[1,8,6,3,7,5,2,4]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,1,6,3,4,7,8]=>[7,4,8,3,6,5,2,1]=>[1,8,5,3,7,6,2,4]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,1,3,6,7,4,8]=>[7,4,8,6,3,2,5,1]=>[1,7,6,3,8,5,2,4]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,1,5,6,3,7,4,8]=>[7,8,4,3,6,2,5,1]=>[1,7,5,4,8,6,2,3]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,1,6,3,7,4,8]=>[7,4,8,3,6,2,5,1]=>[1,7,5,3,8,6,2,4]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,5,6,1,3,7,4,8]=>[7,4,3,8,6,2,5,1]=>[1,7,4,3,8,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[2,1,5,3,6,7,8,4]=>[7,8,4,6,3,2,1,5]=>[8,7,6,4,1,5,2,3]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,1,3,6,7,8,4]=>[7,4,8,6,3,2,1,5]=>[8,7,6,3,1,5,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,1,5,6,3,7,8,4]=>[7,8,4,3,6,2,1,5]=>[8,7,5,4,1,6,2,3]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,6,1,3,7,8,4]=>[7,4,3,8,6,2,1,5]=>[8,7,4,3,1,6,2,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,1,5,6,7,3,8,4]=>[7,8,4,3,2,6,1,5]=>[8,6,5,4,1,7,2,3]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,6,1,7,3,8,4]=>[7,4,3,8,2,6,1,5]=>[8,6,4,3,1,7,2,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,6,7,1,3,8,4]=>[7,4,3,2,8,6,1,5]=>[8,5,4,3,1,7,2,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,1,5,6,7,8,3,4]=>[7,8,4,3,2,1,6,5]=>[7,6,5,4,1,8,2,3]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,1,6,7,8,3,4]=>[7,4,8,3,2,1,6,5]=>[7,6,5,3,1,8,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,6,1,7,8,3,4]=>[7,4,3,8,2,1,6,5]=>[7,6,4,3,1,8,2,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,6,7,1,8,3,4]=>[7,4,3,2,8,1,6,5]=>[7,5,4,3,1,8,2,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,5,6,7,8,1,3,4]=>[7,4,3,2,1,8,6,5]=>[6,5,4,3,1,8,2,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,1,5,3,7,4,8,6]=>[7,8,4,6,2,5,1,3]=>[8,6,1,4,7,5,2,3]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,3,7,4,8,6]=>[7,4,8,6,2,5,1,3]=>[8,6,1,3,7,5,2,4]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[8,5,1,3,7,6,2,4]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,7,1,3,4,8,6]=>[7,4,2,8,6,5,1,3]=>[8,4,1,3,7,6,2,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,1,5,3,7,8,4,6]=>[7,8,4,6,2,1,5,3]=>[7,6,1,4,8,5,2,3]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,3,7,8,4,6]=>[7,4,8,6,2,1,5,3]=>[7,6,1,3,8,5,2,4]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[7,5,1,4,8,6,2,3]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,7,3,8,4,6]=>[7,4,8,2,6,1,5,3]=>[7,5,1,3,8,6,2,4]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,1,5,3,7,4,6,8]=>[7,8,4,6,2,5,3,1]=>[1,6,8,4,7,5,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,5,1,3,7,4,6,8]=>[7,4,8,6,2,5,3,1]=>[1,6,8,3,7,5,2,4]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,1,5,7,3,4,6,8]=>[7,8,4,2,6,5,3,1]=>[1,5,8,4,7,6,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,5,1,3,4,7,6,8]=>[7,4,8,6,5,2,3,1]=>[1,7,8,3,6,5,2,4]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[2,3,5,1,4,7,6,8]=>[7,6,4,8,5,2,3,1]=>[1,7,8,4,6,3,2,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,3,5,1,7,4,6,8]=>[7,6,4,8,2,5,3,1]=>[1,6,8,4,7,3,2,5]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,3,5,7,1,4,6,8]=>[7,6,4,2,8,5,3,1]=>[1,5,8,4,7,3,2,6]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[2,1,5,3,4,7,8,6]=>[7,8,4,6,5,2,1,3]=>[8,7,1,4,6,5,2,3]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,5,1,3,4,7,8,6]=>[7,4,8,6,5,2,1,3]=>[8,7,1,3,6,5,2,4]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,3,5,1,4,7,8,6]=>[7,6,4,8,5,2,1,3]=>[8,7,1,4,6,3,2,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,1,5,7,4,8,6]=>[7,6,8,4,2,5,1,3]=>[8,6,1,5,7,3,2,4]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,1,7,4,8,6]=>[7,6,4,8,2,5,1,3]=>[8,6,1,4,7,3,2,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,7,1,4,8,6]=>[7,6,4,2,8,5,1,3]=>[8,5,1,4,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,1,5,7,8,4,6]=>[7,6,8,4,2,1,5,3]=>[7,6,1,5,8,3,2,4]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,7,1,8,4,6]=>[7,6,4,2,8,1,5,3]=>[7,5,1,4,8,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,5,1,3,8,4,6,7]=>[7,4,8,6,1,5,3,2]=>[6,1,8,3,7,5,2,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,8,3,4,6,7]=>[7,8,4,1,6,5,3,2]=>[5,1,8,4,7,6,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,5,1,8,3,4,6,7]=>[7,4,8,1,6,5,3,2]=>[5,1,8,3,7,6,2,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,1,5,3,4,8,6,7]=>[7,8,4,6,5,1,3,2]=>[7,1,8,4,6,5,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,3,5,1,4,8,6,7]=>[7,6,4,8,5,1,3,2]=>[7,1,8,4,6,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,1,3,5,8,4,6,7]=>[7,8,6,4,1,5,3,2]=>[6,1,8,5,7,4,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[6,1,8,4,7,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[5,1,8,4,7,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,5,1,3,4,6,8,7]=>[7,4,8,6,5,3,1,2]=>[8,1,7,3,6,5,2,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,3,5,1,4,6,8,7]=>[7,6,4,8,5,3,1,2]=>[8,1,7,4,6,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,1,6,4,8,7]=>[7,6,4,8,3,5,1,2]=>[8,1,6,4,7,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,6,1,4,8,7]=>[7,6,4,3,8,5,1,2]=>[8,1,5,4,7,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,1,5,6,8,4,7]=>[7,6,8,4,3,1,5,2]=>[7,1,6,5,8,3,2,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,6,1,8,4,7]=>[7,6,4,3,8,1,5,2]=>[7,1,5,4,8,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,6,8,1,4,7]=>[7,6,4,3,1,8,5,2]=>[6,1,5,4,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,1,4,6,7,8]=>[7,6,4,8,5,3,2,1]=>[1,8,7,4,6,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,5,1,6,4,7,8]=>[7,6,4,8,3,5,2,1]=>[1,8,6,4,7,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,5,6,1,4,7,8]=>[7,6,4,3,8,5,2,1]=>[1,8,5,4,7,3,2,6]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,5,1,6,7,4,8]=>[7,6,4,8,3,2,5,1]=>[1,7,6,4,8,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,5,6,1,7,4,8]=>[7,6,4,3,8,2,5,1]=>[1,7,5,4,8,3,2,6]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,5,6,7,1,4,8]=>[7,6,4,3,2,8,5,1]=>[1,6,5,4,8,3,2,7]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[2,3,5,1,6,7,8,4]=>[7,6,4,8,3,2,1,5]=>[8,7,6,4,1,3,2,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>[8,7,5,4,1,3,2,6]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,3,5,6,7,1,8,4]=>[7,6,4,3,2,8,1,5]=>[8,6,5,4,1,3,2,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,3,5,6,7,8,1,4]=>[7,6,4,3,2,1,8,5]=>[7,6,5,4,1,3,2,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,6,1,3,7,4,8,5]=>[7,3,8,6,2,5,1,4]=>[8,6,3,1,7,5,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,1,6,3,7,8,4,5]=>[7,8,3,6,2,1,5,4]=>[7,6,4,1,8,5,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,6,1,3,7,8,4,5]=>[7,3,8,6,2,1,5,4]=>[7,6,3,1,8,5,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,6,1,7,3,8,4,5]=>[7,3,8,2,6,1,5,4]=>[7,5,3,1,8,6,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,6,7,1,3,8,4,5]=>[7,3,2,8,6,1,5,4]=>[7,4,3,1,8,6,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[6,5,4,1,8,7,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,6,7,8,1,3,4,5]=>[7,3,2,1,8,6,5,4]=>[5,4,3,1,8,7,2,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,1,6,3,7,4,5,8]=>[7,8,3,6,2,5,4,1]=>[1,6,4,8,7,5,2,3]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,6,1,3,7,4,5,8]=>[7,3,8,6,2,5,4,1]=>[1,6,3,8,7,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,1,6,7,3,4,5,8]=>[7,8,3,2,6,5,4,1]=>[1,5,4,8,7,6,2,3]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,1,3,6,4,7,5,8]=>[7,8,6,3,5,2,4,1]=>[1,7,5,8,6,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,3,1,6,4,7,5,8]=>[7,6,8,3,5,2,4,1]=>[1,7,5,8,6,3,2,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,3,6,1,4,7,5,8]=>[7,6,3,8,5,2,4,1]=>[1,7,4,8,6,3,2,5]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,1,3,6,7,4,5,8]=>[7,8,6,3,2,5,4,1]=>[1,6,5,8,7,4,2,3]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,3,6,7,1,4,5,8]=>[7,6,3,2,8,5,4,1]=>[1,5,4,8,7,3,2,6]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,1,6,3,4,7,8,5]=>[7,8,3,6,5,2,1,4]=>[8,7,4,1,6,5,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,6,1,3,4,7,8,5]=>[7,3,8,6,5,2,1,4]=>[8,7,3,1,6,5,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,1,3,6,4,7,8,5]=>[7,8,6,3,5,2,1,4]=>[8,7,5,1,6,4,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,1,6,4,7,8,5]=>[7,6,8,3,5,2,1,4]=>[8,7,5,1,6,3,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,6,1,4,7,8,5]=>[7,6,3,8,5,2,1,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,1,3,6,7,4,8,5]=>[7,8,6,3,2,5,1,4]=>[8,6,5,1,7,4,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,1,6,7,4,8,5]=>[7,6,8,3,2,5,1,4]=>[8,6,5,1,7,3,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,6,1,7,4,8,5]=>[7,6,3,8,2,5,1,4]=>[8,6,4,1,7,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,6,7,1,4,8,5]=>[7,6,3,2,8,5,1,4]=>[8,5,4,1,7,3,2,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,1,3,6,7,8,4,5]=>[7,8,6,3,2,1,5,4]=>[7,6,5,1,8,4,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,1,6,7,8,4,5]=>[7,6,8,3,2,1,5,4]=>[7,6,5,1,8,3,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,6,1,7,8,4,5]=>[7,6,3,8,2,1,5,4]=>[7,6,4,1,8,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,1,6,3,8,4,5,7]=>[7,8,3,6,1,5,4,2]=>[6,1,4,8,7,5,2,3]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[2,6,1,3,8,4,5,7]=>[7,3,8,6,1,5,4,2]=>[6,1,3,8,7,5,2,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[2,1,3,6,4,8,5,7]=>[7,8,6,3,5,1,4,2]=>[7,1,5,8,6,4,2,3]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,1,6,4,8,5,7]=>[7,6,8,3,5,1,4,2]=>[7,1,5,8,6,3,2,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,6,1,4,8,5,7]=>[7,6,3,8,5,1,4,2]=>[7,1,4,8,6,3,2,5]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,1,3,6,8,4,5,7]=>[7,8,6,3,1,5,4,2]=>[6,1,5,8,7,4,2,3]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,1,6,8,4,5,7]=>[7,6,8,3,1,5,4,2]=>[6,1,5,8,7,3,2,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,6,1,8,4,5,7]=>[7,6,3,8,1,5,4,2]=>[6,1,4,8,7,3,2,5]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,1,6,3,4,5,8,7]=>[7,8,3,6,5,4,1,2]=>[8,1,4,7,6,5,2,3]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[2,3,1,6,4,5,8,7]=>[7,6,8,3,5,4,1,2]=>[8,1,5,7,6,3,2,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,6,1,4,5,8,7]=>[7,6,3,8,5,4,1,2]=>[8,1,4,7,6,3,2,5]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,4,1,6,8,5,7]=>[7,6,5,8,3,1,4,2]=>[7,1,6,8,4,3,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,3,4,6,1,8,5,7]=>[7,6,5,3,8,1,4,2]=>[7,1,5,8,4,3,2,6]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,6,1,3,4,5,7,8]=>[7,3,8,6,5,4,2,1]=>[1,8,3,7,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[2,3,1,6,4,5,7,8]=>[7,6,8,3,5,4,2,1]=>[1,8,5,7,6,3,2,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[2,3,4,6,1,5,7,8]=>[7,6,5,3,8,4,2,1]=>[1,8,5,7,4,3,2,6]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,3,4,6,1,7,5,8]=>[7,6,5,3,8,2,4,1]=>[1,7,5,8,4,3,2,6]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,3,4,6,7,1,5,8]=>[7,6,5,3,2,8,4,1]=>[1,6,5,8,4,3,2,7]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,3,4,6,1,7,8,5]=>[7,6,5,3,8,2,1,4]=>[8,7,5,1,4,3,2,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,4,6,7,1,8,5]=>[7,6,5,3,2,8,1,4]=>[8,6,5,1,4,3,2,7]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,4,6,7,8,1,5]=>[7,6,5,3,2,1,8,4]=>[7,6,5,1,4,3,2,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,7,1,3,8,4,5,6]=>[7,2,8,6,1,5,4,3]=>[6,3,1,8,7,5,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,1,7,8,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[5,4,1,8,7,6,2,3]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,4,8,5,6]=>[7,2,8,6,5,1,4,3]=>[7,3,1,8,6,5,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,1,7,4,8,5,6]=>[7,6,8,2,5,1,4,3]=>[7,5,1,8,6,3,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,1,3,7,8,4,5,6]=>[7,8,6,2,1,5,4,3]=>[6,5,1,8,7,4,2,3]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,7,8,1,4,5,6]=>[7,6,2,1,8,5,4,3]=>[5,4,1,8,7,3,2,6]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,4,5,8,6]=>[7,2,8,6,5,4,1,3]=>[8,3,1,7,6,5,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,7,1,4,5,8,6]=>[7,6,2,8,5,4,1,3]=>[8,4,1,7,6,3,2,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,1,4,7,5,8,6]=>[7,6,8,5,2,4,1,3]=>[8,6,1,7,5,3,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,4,1,7,5,8,6]=>[7,6,5,8,2,4,1,3]=>[8,6,1,7,4,3,2,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,1,3,4,7,8,5,6]=>[7,8,6,5,2,1,4,3]=>[7,6,1,8,5,4,2,3]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,1,4,7,8,5,6]=>[7,6,8,5,2,1,4,3]=>[7,6,1,8,5,3,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,4,1,7,8,5,6]=>[7,6,5,8,2,1,4,3]=>[7,6,1,8,4,3,2,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,4,7,1,8,5,6]=>[7,6,5,2,8,1,4,3]=>[7,5,1,8,4,3,2,6]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,4,7,8,1,5,6]=>[7,6,5,2,1,8,4,3]=>[6,5,1,8,4,3,2,7]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[1,3,8,7,6,5,2,4]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]
[2,3,1,7,4,5,6,8]=>[7,6,8,2,5,4,3,1]=>[1,5,8,7,6,3,2,4]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]
[2,3,1,4,7,5,6,8]=>[7,6,8,5,2,4,3,1]=>[1,6,8,7,5,3,2,4]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]
[2,3,4,1,7,5,6,8]=>[7,6,5,8,2,4,3,1]=>[1,6,8,7,4,3,2,5]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]
[2,3,4,5,7,1,6,8]=>[7,6,5,4,2,8,3,1]=>[1,6,8,5,4,3,2,7]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,3,4,5,7,1,8,6]=>[7,6,5,4,2,8,1,3]=>[8,6,1,5,4,3,2,7]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[3,1,8,7,6,5,2,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,1,4,8,5,6,7]=>[7,6,8,5,1,4,3,2]=>[6,1,8,7,5,3,2,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[6,1,8,7,4,3,2,5]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[5,1,8,7,4,3,2,6]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,1,3,4,5,8,6,7]=>[7,8,6,5,4,1,3,2]=>[7,1,8,6,5,4,2,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]=>[7,1,8,6,5,3,2,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,1,5,8,6,7]=>[7,6,5,8,4,1,3,2]=>[7,1,8,6,4,3,2,5]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,1,8,6,7]=>[7,6,5,4,8,1,3,2]=>[7,1,8,5,4,3,2,6]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,6,8,1,7]=>[7,6,5,4,3,1,8,2]=>[7,1,6,5,4,3,2,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[8,1,6,7,3,2,5,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,6,2,5,8,7]=>[6,8,5,3,7,4,1,2]=>[8,1,5,7,4,2,6,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,6,2,5,8,7]=>[6,5,8,3,7,4,1,2]=>[8,1,5,7,3,2,6,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[7,1,6,8,4,2,5,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,6,2,8,5,7]=>[6,8,5,3,7,1,4,2]=>[7,1,5,8,4,2,6,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,6,2,8,5,7]=>[6,5,8,3,7,1,4,2]=>[7,1,5,8,3,2,6,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,1,2,8,5,7]=>[6,5,3,8,7,1,4,2]=>[7,1,4,8,3,2,6,5]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,6,8,2,5,7]=>[6,8,5,3,1,7,4,2]=>[6,1,5,8,4,2,7,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,6,8,2,5,7]=>[6,5,8,3,1,7,4,2]=>[6,1,5,8,3,2,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,1,8,2,5,7]=>[6,5,3,8,1,7,4,2]=>[6,1,4,8,3,2,7,5]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,6,8,1,2,5,7]=>[6,5,3,1,8,7,4,2]=>[5,1,4,8,3,2,7,6]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,1,4,2,6,5,7,8]=>[6,8,5,7,3,4,2,1]=>[1,8,6,7,4,2,5,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,1,4,6,2,5,7,8]=>[6,8,5,3,7,4,2,1]=>[1,8,5,7,4,2,6,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,4,1,2,6,7,5,8]=>[6,5,8,7,3,2,4,1]=>[1,7,6,8,3,2,5,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,4,6,1,2,7,5,8]=>[6,5,3,8,7,2,4,1]=>[1,7,4,8,3,2,6,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,4,6,1,7,2,5,8]=>[6,5,3,8,2,7,4,1]=>[1,6,4,8,3,2,7,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,4,6,7,1,2,5,8]=>[6,5,3,2,8,7,4,1]=>[1,5,4,8,3,2,7,6]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,1,4,2,6,7,8,5]=>[6,8,5,7,3,2,1,4]=>[8,7,6,1,4,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,1,2,6,7,8,5]=>[6,5,8,7,3,2,1,4]=>[8,7,6,1,3,2,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,1,4,6,2,7,8,5]=>[6,8,5,3,7,2,1,4]=>[8,7,5,1,4,2,6,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,6,1,2,7,8,5]=>[6,5,3,8,7,2,1,4]=>[8,7,4,1,3,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,1,6,7,2,8,5]=>[6,5,8,3,2,7,1,4]=>[8,6,5,1,3,2,7,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,6,1,7,2,8,5]=>[6,5,3,8,2,7,1,4]=>[8,6,4,1,3,2,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,6,7,1,2,8,5]=>[6,5,3,2,8,7,1,4]=>[8,5,4,1,3,2,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,1,4,6,7,8,2,5]=>[6,8,5,3,2,1,7,4]=>[7,6,5,1,4,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,1,6,7,8,2,5]=>[6,5,8,3,2,1,7,4]=>[7,6,5,1,3,2,8,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,6,1,7,8,2,5]=>[6,5,3,8,2,1,7,4]=>[7,6,4,1,3,2,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,6,7,1,8,2,5]=>[6,5,3,2,8,1,7,4]=>[7,5,4,1,3,2,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,6,7,8,1,2,5]=>[6,5,3,2,1,8,7,4]=>[6,5,4,1,3,2,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[8,6,1,7,4,2,5,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,1,2,7,5,8,6]=>[6,5,8,7,2,4,1,3]=>[8,6,1,7,3,2,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[8,5,1,7,4,2,6,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,7,1,2,5,8,6]=>[6,5,2,8,7,4,1,3]=>[8,4,1,7,3,2,6,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,1,4,2,7,8,5,6]=>[6,8,5,7,2,1,4,3]=>[7,6,1,8,4,2,5,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[7,6,1,8,3,2,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,1,4,7,2,8,5,6]=>[6,8,5,2,7,1,4,3]=>[7,5,1,8,4,2,6,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[7,5,1,8,3,2,6,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,7,1,2,8,5,6]=>[6,5,2,8,7,1,4,3]=>[7,4,1,8,3,2,6,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,1,7,8,2,5,6]=>[6,5,8,2,1,7,4,3]=>[6,5,1,8,3,2,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[6,4,1,8,3,2,7,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,1,4,2,7,5,6,8]=>[6,8,5,7,2,4,3,1]=>[1,6,8,7,4,2,5,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[3,1,4,7,2,5,6,8]=>[6,8,5,2,7,4,3,1]=>[1,5,8,7,4,2,6,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[3,4,1,7,2,5,6,8]=>[6,5,8,2,7,4,3,1]=>[1,5,8,7,3,2,6,4]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[3,4,1,2,5,7,6,8]=>[6,5,8,7,4,2,3,1]=>[1,7,8,6,3,2,5,4]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[3,1,4,5,2,7,6,8]=>[6,8,5,4,7,2,3,1]=>[1,7,8,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[3,1,4,5,7,2,6,8]=>[6,8,5,4,2,7,3,1]=>[1,6,8,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[3,4,1,5,7,2,6,8]=>[6,5,8,4,2,7,3,1]=>[1,6,8,5,3,2,7,4]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[3,4,5,1,7,2,6,8]=>[6,5,4,8,2,7,3,1]=>[1,6,8,4,3,2,7,5]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[3,4,5,1,2,7,8,6]=>[6,5,4,8,7,2,1,3]=>[8,7,1,4,3,2,6,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,1,4,5,7,2,8,6]=>[6,8,5,4,2,7,1,3]=>[8,6,1,5,4,2,7,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,5,1,7,2,8,6]=>[6,5,4,8,2,7,1,3]=>[8,6,1,4,3,2,7,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,1,4,5,7,8,2,6]=>[6,8,5,4,2,1,7,3]=>[7,6,1,5,4,2,8,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,5,1,7,8,2,6]=>[6,5,4,8,2,1,7,3]=>[7,6,1,4,3,2,8,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,5,7,8,1,2,6]=>[6,5,4,2,1,8,7,3]=>[6,5,1,4,3,2,8,7]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,1,4,2,8,5,6,7]=>[6,8,5,7,1,4,3,2]=>[6,1,8,7,4,2,5,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,8,2,5,6,7]=>[6,8,5,1,7,4,3,2]=>[5,1,8,7,4,2,6,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,8,2,5,6,7]=>[6,5,8,1,7,4,3,2]=>[5,1,8,7,3,2,6,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,8,1,2,5,6,7]=>[6,5,1,8,7,4,3,2]=>[4,1,8,7,3,2,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,5,2,8,6,7]=>[6,5,8,4,7,1,3,2]=>[7,1,8,5,3,2,6,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,1,2,8,6,7]=>[6,5,4,8,7,1,3,2]=>[7,1,8,4,3,2,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,1,5,8,2,6,7]=>[6,5,8,4,1,7,3,2]=>[6,1,8,5,3,2,7,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,5,2,6,8,7]=>[6,8,5,4,7,3,1,2]=>[8,1,7,5,4,2,6,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,1,2,6,8,7]=>[6,5,4,8,7,3,1,2]=>[8,1,7,4,3,2,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,6,1,2,8,7]=>[6,5,4,3,8,7,1,2]=>[8,1,5,4,3,2,7,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,5,6,8,2,7]=>[6,8,5,4,3,1,7,2]=>[7,1,6,5,4,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,6,1,8,2,7]=>[6,5,4,3,8,1,7,2]=>[7,1,5,4,3,2,8,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,4,5,6,8,1,2,7]=>[6,5,4,3,1,8,7,2]=>[6,1,5,4,3,2,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[1,8,7,6,4,2,5,3]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[3,4,1,5,2,6,7,8]=>[6,5,8,4,7,3,2,1]=>[1,8,7,5,3,2,6,4]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[3,4,1,5,6,2,7,8]=>[6,5,8,4,3,7,2,1]=>[1,8,6,5,3,2,7,4]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[3,4,5,1,6,2,7,8]=>[6,5,4,8,3,7,2,1]=>[1,8,6,4,3,2,7,5]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[3,1,4,5,6,7,2,8]=>[6,8,5,4,3,2,7,1]=>[1,7,6,5,4,2,8,3]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[3,4,5,1,6,7,2,8]=>[6,5,4,8,3,2,7,1]=>[1,7,6,4,3,2,8,5]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[3,4,5,6,1,7,2,8]=>[6,5,4,3,8,2,7,1]=>[1,7,5,4,3,2,8,6]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[3,1,4,5,6,7,8,2]=>[6,8,5,4,3,2,1,7]=>[8,7,6,5,4,2,1,3]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[3,4,1,5,6,7,8,2]=>[6,5,8,4,3,2,1,7]=>[8,7,6,5,3,2,1,4]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[3,4,5,1,6,7,8,2]=>[6,5,4,8,3,2,1,7]=>[8,7,6,4,3,2,1,5]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[3,4,5,6,1,7,8,2]=>[6,5,4,3,8,2,1,7]=>[8,7,5,4,3,2,1,6]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[3,4,5,6,7,1,8,2]=>[6,5,4,3,2,8,1,7]=>[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[3,1,5,2,6,4,8,7]=>[6,8,4,7,3,5,1,2]=>[8,1,6,4,7,2,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,2,6,4,8,7]=>[6,4,8,7,3,5,1,2]=>[8,1,6,3,7,2,5,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,6,2,4,8,7]=>[6,8,4,3,7,5,1,2]=>[8,1,5,4,7,2,6,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[8,1,5,3,7,2,6,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,1,2,4,8,7]=>[6,4,3,8,7,5,1,2]=>[8,1,4,3,7,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,2,6,8,4,7]=>[6,8,4,7,3,1,5,2]=>[7,1,6,4,8,2,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>[7,1,5,4,8,2,6,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,6,2,8,4,7]=>[6,4,8,3,7,1,5,2]=>[7,1,5,3,8,2,6,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,1,2,8,4,7]=>[6,4,3,8,7,1,5,2]=>[7,1,4,3,8,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,6,8,2,4,7]=>[6,8,4,3,1,7,5,2]=>[6,1,5,4,8,2,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,6,8,2,4,7]=>[6,4,8,3,1,7,5,2]=>[6,1,5,3,8,2,7,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,1,8,2,4,7]=>[6,4,3,8,1,7,5,2]=>[6,1,4,3,8,2,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,6,8,1,2,4,7]=>[6,4,3,1,8,7,5,2]=>[5,1,4,3,8,2,7,6]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,5,6,2,4,7,8]=>[6,8,4,3,7,5,2,1]=>[1,8,5,4,7,2,6,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,5,1,6,2,4,7,8]=>[6,4,8,3,7,5,2,1]=>[1,8,5,3,7,2,6,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,5,6,1,2,4,7,8]=>[6,4,3,8,7,5,2,1]=>[1,8,4,3,7,2,6,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,1,5,2,6,7,4,8]=>[6,8,4,7,3,2,5,1]=>[1,7,6,4,8,2,5,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,5,1,6,2,7,4,8]=>[6,4,8,3,7,2,5,1]=>[1,7,5,3,8,2,6,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,1,5,6,7,2,4,8]=>[6,8,4,3,2,7,5,1]=>[1,6,5,4,8,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,5,1,6,7,2,4,8]=>[6,4,8,3,2,7,5,1]=>[1,6,5,3,8,2,7,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,5,6,1,7,2,4,8]=>[6,4,3,8,2,7,5,1]=>[1,6,4,3,8,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,1,5,2,6,7,8,4]=>[6,8,4,7,3,2,1,5]=>[8,7,6,4,1,2,5,3]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,1,5,6,2,7,8,4]=>[6,8,4,3,7,2,1,5]=>[8,7,5,4,1,2,6,3]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,5,1,6,2,7,8,4]=>[6,4,8,3,7,2,1,5]=>[8,7,5,3,1,2,6,4]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,1,5,6,7,2,8,4]=>[6,8,4,3,2,7,1,5]=>[8,6,5,4,1,2,7,3]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,5,1,6,7,2,8,4]=>[6,4,8,3,2,7,1,5]=>[8,6,5,3,1,2,7,4]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,1,5,6,7,8,2,4]=>[6,8,4,3,2,1,7,5]=>[7,6,5,4,1,2,8,3]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,5,1,6,7,8,2,4]=>[6,4,8,3,2,1,7,5]=>[7,6,5,3,1,2,8,4]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,5,6,1,7,8,2,4]=>[6,4,3,8,2,1,7,5]=>[7,6,4,3,1,2,8,5]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,5,6,7,8,1,2,4]=>[6,4,3,2,1,8,7,5]=>[6,5,4,3,1,2,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[8,6,1,4,7,2,5,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,2,7,4,8,6]=>[6,4,8,7,2,5,1,3]=>[8,6,1,3,7,2,5,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[8,5,1,4,7,2,6,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,7,2,4,8,6]=>[6,4,8,2,7,5,1,3]=>[8,5,1,3,7,2,6,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,7,1,2,4,8,6]=>[6,4,2,8,7,5,1,3]=>[8,4,1,3,7,2,6,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,2,7,8,4,6]=>[6,8,4,7,2,1,5,3]=>[7,6,1,4,8,2,5,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[7,6,1,3,8,2,5,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,7,2,8,4,6]=>[6,8,4,2,7,1,5,3]=>[7,5,1,4,8,2,6,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[7,5,1,3,8,2,6,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,7,1,2,8,4,6]=>[6,4,2,8,7,1,5,3]=>[7,4,1,3,8,2,6,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,2,7,4,6,8]=>[6,8,4,7,2,5,3,1]=>[1,6,8,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,5,1,2,7,4,6,8]=>[6,4,8,7,2,5,3,1]=>[1,6,8,3,7,2,5,4]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,1,5,7,2,4,6,8]=>[6,8,4,2,7,5,3,1]=>[1,5,8,4,7,2,6,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,5,1,7,2,4,6,8]=>[6,4,8,2,7,5,3,1]=>[1,5,8,3,7,2,6,4]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[3,1,5,2,4,7,6,8]=>[6,8,4,7,5,2,3,1]=>[1,7,8,4,6,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[1,3,2,5,7,4,6,8]=>[8,6,7,4,2,5,3,1]=>[1,6,8,5,7,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[1,5,8,4,7,3,6,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[3,5,1,2,4,7,8,6]=>[6,4,8,7,5,2,1,3]=>[8,7,1,3,6,2,5,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,2,5,4,7,8,6]=>[6,8,7,4,5,2,1,3]=>[8,7,1,5,6,2,4,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[1,3,5,2,7,4,8,6]=>[8,6,4,7,2,5,1,3]=>[8,6,1,4,7,3,5,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[1,3,5,7,2,8,4,6]=>[8,6,4,2,7,1,5,3]=>[7,5,1,4,8,3,6,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[3,1,5,2,8,4,6,7]=>[6,8,4,7,1,5,3,2]=>[6,1,8,4,7,2,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,8,2,4,6,7]=>[6,4,8,1,7,5,3,2]=>[5,1,8,3,7,2,6,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,8,1,2,4,6,7]=>[6,4,1,8,7,5,3,2]=>[4,1,8,3,7,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,2,5,4,8,6,7]=>[6,8,7,4,5,1,3,2]=>[7,1,8,5,6,2,4,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,3,2,5,4,8,6,7]=>[8,6,7,4,5,1,3,2]=>[7,1,8,5,6,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,2,4,8,6,7]=>[8,6,4,7,5,1,3,2]=>[7,1,8,4,6,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,2,8,4,6,7]=>[8,6,4,7,1,5,3,2]=>[6,1,8,4,7,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,8,2,4,6,7]=>[8,6,4,1,7,5,3,2]=>[5,1,8,4,7,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[3,1,5,2,4,6,8,7]=>[6,8,4,7,5,3,1,2]=>[8,1,7,4,6,2,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,1,2,4,6,8,7]=>[6,4,8,7,5,3,1,2]=>[8,1,7,3,6,2,5,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,3,5,2,4,6,8,7]=>[8,6,4,7,5,3,1,2]=>[8,1,7,4,6,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,2,6,4,8,7]=>[8,6,4,7,3,5,1,2]=>[8,1,6,4,7,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,6,2,4,8,7]=>[8,6,4,3,7,5,1,2]=>[8,1,5,4,7,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[3,1,2,5,6,8,4,7]=>[6,8,7,4,3,1,5,2]=>[7,1,6,5,8,2,4,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,3,2,5,6,8,4,7]=>[8,6,7,4,3,1,5,2]=>[7,1,6,5,8,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,2,6,8,4,7]=>[8,6,4,7,3,1,5,2]=>[7,1,6,4,8,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[1,3,5,6,2,8,4,7]=>[8,6,4,3,7,1,5,2]=>[7,1,5,4,8,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[3,5,1,2,4,6,7,8]=>[6,4,8,7,5,3,2,1]=>[1,8,7,3,6,2,5,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[1,3,5,2,4,6,7,8]=>[8,6,4,7,5,3,2,1]=>[1,8,7,4,6,3,5,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[1,7,5,4,8,3,6,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[3,1,2,5,6,7,8,4]=>[6,8,7,4,3,2,1,5]=>[8,7,6,5,1,2,4,3]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[1,3,5,6,7,2,8,4]=>[8,6,4,3,2,7,1,5]=>[8,6,5,4,1,3,7,2]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[3,1,6,2,7,4,8,5]=>[6,8,3,7,2,5,1,4]=>[8,6,4,1,7,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,1,7,2,4,8,5]=>[6,3,8,2,7,5,1,4]=>[8,5,3,1,7,2,6,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,7,1,2,4,8,5]=>[6,3,2,8,7,5,1,4]=>[8,4,3,1,7,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,1,6,2,7,8,4,5]=>[6,8,3,7,2,1,5,4]=>[7,6,4,1,8,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,1,6,7,2,8,4,5]=>[6,8,3,2,7,1,5,4]=>[7,5,4,1,8,2,6,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,1,7,2,8,4,5]=>[6,3,8,2,7,1,5,4]=>[7,5,3,1,8,2,6,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[7,4,3,1,8,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[6,5,3,1,8,2,7,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,7,8,1,2,4,5]=>[6,3,2,1,8,7,5,4]=>[5,4,3,1,8,2,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,1,6,2,7,4,5,8]=>[6,8,3,7,2,5,4,1]=>[1,6,4,8,7,2,5,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,6,1,2,7,4,5,8]=>[6,3,8,7,2,5,4,1]=>[1,6,3,8,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,1,6,7,2,4,5,8]=>[6,8,3,2,7,5,4,1]=>[1,5,4,8,7,2,6,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,6,7,1,2,4,5,8]=>[6,3,2,8,7,5,4,1]=>[1,4,3,8,7,2,6,5]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,1,6,2,4,7,5,8]=>[6,8,3,7,5,2,4,1]=>[1,7,4,8,6,2,5,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,6,1,2,4,7,5,8]=>[6,3,8,7,5,2,4,1]=>[1,7,3,8,6,2,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,1,2,6,4,7,5,8]=>[6,8,7,3,5,2,4,1]=>[1,7,5,8,6,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,3,2,6,4,7,5,8]=>[8,6,7,3,5,2,4,1]=>[1,7,5,8,6,3,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,3,6,2,4,7,5,8]=>[8,6,3,7,5,2,4,1]=>[1,7,4,8,6,3,5,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[3,1,2,6,7,4,5,8]=>[6,8,7,3,2,5,4,1]=>[1,6,5,8,7,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,3,2,6,7,4,5,8]=>[8,6,7,3,2,5,4,1]=>[1,6,5,8,7,3,4,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,3,6,2,7,4,5,8]=>[8,6,3,7,2,5,4,1]=>[1,6,4,8,7,3,5,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,3,6,7,2,4,5,8]=>[8,6,3,2,7,5,4,1]=>[1,5,4,8,7,3,6,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[3,1,6,2,4,7,8,5]=>[6,8,3,7,5,2,1,4]=>[8,7,4,1,6,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,1,2,4,7,8,5]=>[6,3,8,7,5,2,1,4]=>[8,7,3,1,6,2,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,3,6,2,4,7,8,5]=>[8,6,3,7,5,2,1,4]=>[8,7,4,1,6,3,5,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[3,1,2,6,7,4,8,5]=>[6,8,7,3,2,5,1,4]=>[8,6,5,1,7,2,4,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,3,6,7,2,4,8,5]=>[8,6,3,2,7,5,1,4]=>[8,5,4,1,7,3,6,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[3,1,2,6,7,8,4,5]=>[6,8,7,3,2,1,5,4]=>[7,6,5,1,8,2,4,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,3,2,6,7,8,4,5]=>[8,6,7,3,2,1,5,4]=>[7,6,5,1,8,3,4,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[1,3,6,2,7,8,4,5]=>[8,6,3,7,2,1,5,4]=>[7,6,4,1,8,3,5,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[3,1,6,2,8,4,5,7]=>[6,8,3,7,1,5,4,2]=>[6,1,4,8,7,2,5,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,2,8,4,5,7]=>[6,3,8,7,1,5,4,2]=>[6,1,3,8,7,2,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,8,2,4,5,7]=>[6,3,8,1,7,5,4,2]=>[5,1,3,8,7,2,6,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,6,8,1,2,4,5,7]=>[6,3,1,8,7,5,4,2]=>[4,1,3,8,7,2,6,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,1,6,2,4,8,5,7]=>[6,8,3,7,5,1,4,2]=>[7,1,4,8,6,2,5,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[1,3,2,6,4,8,5,7]=>[8,6,7,3,5,1,4,2]=>[7,1,5,8,6,3,4,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[1,3,6,2,4,8,5,7]=>[8,6,3,7,5,1,4,2]=>[7,1,4,8,6,3,5,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[3,1,2,6,8,4,5,7]=>[6,8,7,3,1,5,4,2]=>[6,1,5,8,7,2,4,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[1,3,6,2,8,4,5,7]=>[8,6,3,7,1,5,4,2]=>[6,1,4,8,7,3,5,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[1,3,6,8,2,4,5,7]=>[8,6,3,1,7,5,4,2]=>[5,1,4,8,7,3,6,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[3,1,6,2,4,5,8,7]=>[6,8,3,7,5,4,1,2]=>[8,1,4,7,6,2,5,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,1,2,6,4,5,8,7]=>[6,8,7,3,5,4,1,2]=>[8,1,5,7,6,2,4,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,1,2,4,6,5,8,7]=>[6,8,7,5,3,4,1,2]=>[8,1,6,7,5,2,4,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,1,2,4,6,8,5,7]=>[6,8,7,5,3,1,4,2]=>[7,1,6,8,5,2,4,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[1,3,4,2,6,8,5,7]=>[8,6,5,7,3,1,4,2]=>[7,1,6,8,4,3,5,2]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[1,3,4,6,2,8,5,7]=>[8,6,5,3,7,1,4,2]=>[7,1,5,8,4,3,6,2]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[3,1,6,2,4,5,7,8]=>[6,8,3,7,5,4,2,1]=>[1,8,4,7,6,2,5,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,6,1,2,4,5,7,8]=>[6,3,8,7,5,4,2,1]=>[1,8,3,7,6,2,5,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,1,2,6,4,5,7,8]=>[6,8,7,3,5,4,2,1]=>[1,8,5,7,6,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[1,3,6,2,4,5,7,8]=>[8,6,3,7,5,4,2,1]=>[1,8,4,7,6,3,5,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[1,3,4,6,2,5,7,8]=>[8,6,5,3,7,4,2,1]=>[1,8,5,7,4,3,6,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,1,2,4,6,7,5,8]=>[6,8,7,5,3,2,4,1]=>[1,7,6,8,5,2,4,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[1,3,4,6,2,7,5,8]=>[8,6,5,3,7,2,4,1]=>[1,7,5,8,4,3,6,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[3,1,2,4,6,7,8,5]=>[6,8,7,5,3,2,1,4]=>[8,7,6,1,5,2,4,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[1,3,4,6,2,7,8,5]=>[8,6,5,3,7,2,1,4]=>[8,7,5,1,4,3,6,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[1,3,4,6,7,2,8,5]=>[8,6,5,3,2,7,1,4]=>[8,6,5,1,4,3,7,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[1,3,4,6,7,8,2,5]=>[8,6,5,3,2,1,7,4]=>[7,6,5,1,4,3,8,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[3,1,7,2,8,4,5,6]=>[6,8,2,7,1,5,4,3]=>[6,4,1,8,7,2,5,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,7,1,2,4,8,5,6]=>[6,2,8,7,5,1,4,3]=>[7,3,1,8,6,2,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,3,2,7,4,8,5,6]=>[8,6,7,2,5,1,4,3]=>[7,5,1,8,6,3,4,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[1,3,7,2,4,8,5,6]=>[8,6,2,7,5,1,4,3]=>[7,4,1,8,6,3,5,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[3,1,2,7,8,4,5,6]=>[6,8,7,2,1,5,4,3]=>[6,5,1,8,7,2,4,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,3,7,2,8,4,5,6]=>[8,6,2,7,1,5,4,3]=>[6,4,1,8,7,3,5,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[1,3,7,8,2,4,5,6]=>[8,6,2,1,7,5,4,3]=>[5,4,1,8,7,3,6,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[3,7,1,2,4,5,8,6]=>[6,2,8,7,5,4,1,3]=>[8,3,1,7,6,2,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,3,2,7,4,5,8,6]=>[8,6,7,2,5,4,1,3]=>[8,5,1,7,6,3,4,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[3,1,2,4,7,5,8,6]=>[6,8,7,5,2,4,1,3]=>[8,6,1,7,5,2,4,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,3,4,7,2,5,8,6]=>[8,6,5,2,7,4,1,3]=>[8,5,1,7,4,3,6,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[1,3,4,7,8,2,5,6]=>[8,6,5,2,1,7,4,3]=>[6,5,1,8,4,3,7,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[3,1,7,2,4,5,6,8]=>[6,8,2,7,5,4,3,1]=>[1,4,8,7,6,2,5,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[3,7,1,2,4,5,6,8]=>[6,2,8,7,5,4,3,1]=>[1,3,8,7,6,2,5,4]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[3,1,2,7,4,5,6,8]=>[6,8,7,2,5,4,3,1]=>[1,5,8,7,6,2,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[1,3,2,7,4,5,6,8]=>[8,6,7,2,5,4,3,1]=>[1,5,8,7,6,3,4,2]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]
[1,3,7,2,4,5,6,8]=>[8,6,2,7,5,4,3,1]=>[1,4,8,7,6,3,5,2]=>[.,[[[.,[[[.,.],.],.]],[.,.]],.]]
[3,1,2,4,7,5,6,8]=>[6,8,7,5,2,4,3,1]=>[1,6,8,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[1,3,2,4,7,5,6,8]=>[8,6,7,5,2,4,3,1]=>[1,6,8,7,5,3,4,2]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]
[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[1,6,8,7,4,3,5,2]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]
[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[1,5,8,7,4,3,6,2]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]
[3,1,2,4,5,7,6,8]=>[6,8,7,5,4,2,3,1]=>[1,7,8,6,5,2,4,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[1,3,4,5,7,2,6,8]=>[8,6,5,4,2,7,3,1]=>[1,6,8,5,4,3,7,2]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]]
[3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]=>[8,7,1,6,5,2,4,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[1,3,4,5,7,8,2,6]=>[8,6,5,4,2,1,7,3]=>[7,6,1,5,4,3,8,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[3,1,8,2,4,5,6,7]=>[6,8,1,7,5,4,3,2]=>[4,1,8,7,6,2,5,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,8,1,2,4,5,6,7]=>[6,1,8,7,5,4,3,2]=>[3,1,8,7,6,2,5,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,1,2,8,4,5,6,7]=>[6,8,7,1,5,4,3,2]=>[5,1,8,7,6,2,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[1,3,2,8,4,5,6,7]=>[8,6,7,1,5,4,3,2]=>[5,1,8,7,6,3,4,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[1,3,8,2,4,5,6,7]=>[8,6,1,7,5,4,3,2]=>[4,1,8,7,6,3,5,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[1,3,2,4,8,5,6,7]=>[8,6,7,5,1,4,3,2]=>[6,1,8,7,5,3,4,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[1,3,4,2,8,5,6,7]=>[8,6,5,7,1,4,3,2]=>[6,1,8,7,4,3,5,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[1,3,4,8,2,5,6,7]=>[8,6,5,1,7,4,3,2]=>[5,1,8,7,4,3,6,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[7,1,8,6,5,2,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[1,3,4,2,5,8,6,7]=>[8,6,5,7,4,1,3,2]=>[7,1,8,6,4,3,5,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[3,1,2,4,5,6,8,7]=>[6,8,7,5,4,3,1,2]=>[8,1,7,6,5,2,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[1,3,4,5,6,8,2,7]=>[8,6,5,4,3,1,7,2]=>[7,1,6,5,4,3,8,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[4,1,5,6,2,3,8,7]=>[5,8,4,3,7,6,1,2]=>[8,1,5,4,2,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[8,1,4,3,2,7,6,5]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,2,6,8,3,7]=>[5,8,4,7,3,1,6,2]=>[7,1,6,4,2,8,5,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,6,2,8,3,7]=>[5,8,4,3,7,1,6,2]=>[7,1,5,4,2,8,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,5,1,6,2,8,3,7]=>[5,4,8,3,7,1,6,2]=>[7,1,5,3,2,8,6,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>[6,1,5,4,2,8,7,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,5,6,8,1,2,3,7]=>[5,4,3,1,8,7,6,2]=>[5,1,4,3,2,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[1,8,6,4,2,7,5,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,1,5,6,2,3,7,8]=>[5,8,4,3,7,6,2,1]=>[1,8,5,4,2,7,6,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,5,1,6,2,3,7,8]=>[5,4,8,3,7,6,2,1]=>[1,8,5,3,2,7,6,4]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,1,5,2,6,7,3,8]=>[5,8,4,7,3,2,6,1]=>[1,7,6,4,2,8,5,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,5,1,6,2,7,3,8]=>[5,4,8,3,7,2,6,1]=>[1,7,5,3,2,8,6,4]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,1,5,6,7,2,3,8]=>[5,8,4,3,2,7,6,1]=>[1,6,5,4,2,8,7,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,5,1,6,7,2,3,8]=>[5,4,8,3,2,7,6,1]=>[1,6,5,3,2,8,7,4]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,5,6,1,7,2,3,8]=>[5,4,3,8,2,7,6,1]=>[1,6,4,3,2,8,7,5]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[4,1,5,2,6,7,8,3]=>[5,8,4,7,3,2,1,6]=>[8,7,6,4,2,1,5,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,1,2,6,7,8,3]=>[5,4,8,7,3,2,1,6]=>[8,7,6,3,2,1,5,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,1,6,2,7,8,3]=>[5,4,8,3,7,2,1,6]=>[8,7,5,3,2,1,6,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,6,1,2,7,8,3]=>[5,4,3,8,7,2,1,6]=>[8,7,4,3,2,1,6,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,1,5,6,7,2,8,3]=>[5,8,4,3,2,7,1,6]=>[8,6,5,4,2,1,7,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,1,6,7,2,8,3]=>[5,4,8,3,2,7,1,6]=>[8,6,5,3,2,1,7,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,6,1,7,2,8,3]=>[5,4,3,8,2,7,1,6]=>[8,6,4,3,2,1,7,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,6,7,1,2,8,3]=>[5,4,3,2,8,7,1,6]=>[8,5,4,3,2,1,7,6]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,1,5,6,7,8,2,3]=>[5,8,4,3,2,1,7,6]=>[7,6,5,4,2,1,8,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,1,6,7,8,2,3]=>[5,4,8,3,2,1,7,6]=>[7,6,5,3,2,1,8,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,6,1,7,8,2,3]=>[5,4,3,8,2,1,7,6]=>[7,6,4,3,2,1,8,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,6,7,1,8,2,3]=>[5,4,3,2,8,1,7,6]=>[7,5,4,3,2,1,8,6]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,5,1,7,2,3,8,6]=>[5,4,8,2,7,6,1,3]=>[8,5,1,3,2,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,5,7,1,2,3,8,6]=>[5,4,2,8,7,6,1,3]=>[8,4,1,3,2,7,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,1,5,2,7,8,3,6]=>[5,8,4,7,2,1,6,3]=>[7,6,1,4,2,8,5,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,1,5,7,2,8,3,6]=>[5,8,4,2,7,1,6,3]=>[7,5,1,4,2,8,6,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,5,1,7,2,8,3,6]=>[5,4,8,2,7,1,6,3]=>[7,5,1,3,2,8,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[7,4,1,3,2,8,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[6,5,1,3,2,8,7,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,5,7,8,1,2,3,6]=>[5,4,2,1,8,7,6,3]=>[5,4,1,3,2,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,1,5,2,7,3,6,8]=>[5,8,4,7,2,6,3,1]=>[1,6,8,4,2,7,5,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[4,1,5,7,2,3,6,8]=>[5,8,4,2,7,6,3,1]=>[1,5,8,4,2,7,6,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[4,5,1,7,2,3,6,8]=>[5,4,8,2,7,6,3,1]=>[1,5,8,3,2,7,6,4]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[4,5,7,1,2,3,6,8]=>[5,4,2,8,7,6,3,1]=>[1,4,8,3,2,7,6,5]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[4,5,1,2,3,7,6,8]=>[5,4,8,7,6,2,3,1]=>[1,7,8,3,2,6,5,4]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[4,1,2,5,3,7,6,8]=>[5,8,7,4,6,2,3,1]=>[1,7,8,5,2,6,4,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[1,4,2,5,3,7,6,8]=>[8,5,7,4,6,2,3,1]=>[1,7,8,5,3,6,4,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[1,4,5,2,3,7,6,8]=>[8,5,4,7,6,2,3,1]=>[1,7,8,4,3,6,5,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[4,1,2,5,7,3,6,8]=>[5,8,7,4,2,6,3,1]=>[1,6,8,5,2,7,4,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[1,4,2,5,7,3,6,8]=>[8,5,7,4,2,6,3,1]=>[1,6,8,5,3,7,4,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[1,4,5,2,7,3,6,8]=>[8,5,4,7,2,6,3,1]=>[1,6,8,4,3,7,5,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[1,4,5,7,2,3,6,8]=>[8,5,4,2,7,6,3,1]=>[1,5,8,4,3,7,6,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[4,1,5,2,3,7,8,6]=>[5,8,4,7,6,2,1,3]=>[8,7,1,4,2,6,5,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,4,5,2,3,7,8,6]=>[8,5,4,7,6,2,1,3]=>[8,7,1,4,3,6,5,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,1,2,5,7,3,8,6]=>[5,8,7,4,2,6,1,3]=>[8,6,1,5,2,7,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,4,5,2,7,3,8,6]=>[8,5,4,7,2,6,1,3]=>[8,6,1,4,3,7,5,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[1,4,5,7,2,3,8,6]=>[8,5,4,2,7,6,1,3]=>[8,5,1,4,3,7,6,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[1,4,2,5,7,8,3,6]=>[8,5,7,4,2,1,6,3]=>[7,6,1,5,3,8,4,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[1,4,5,2,7,8,3,6]=>[8,5,4,7,2,1,6,3]=>[7,6,1,4,3,8,5,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[1,4,5,7,8,2,3,6]=>[8,5,4,2,1,7,6,3]=>[6,5,1,4,3,8,7,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,1,5,8,2,3,6,7]=>[5,8,4,1,7,6,3,2]=>[5,1,8,4,2,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,5,8,1,2,3,6,7]=>[5,4,1,8,7,6,3,2]=>[4,1,8,3,2,7,6,5]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,1,5,2,3,8,6,7]=>[5,8,4,7,6,1,3,2]=>[7,1,8,4,2,6,5,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,5,1,2,3,8,6,7]=>[5,4,8,7,6,1,3,2]=>[7,1,8,3,2,6,5,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,4,2,5,3,8,6,7]=>[8,5,7,4,6,1,3,2]=>[7,1,8,5,3,6,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[1,4,5,2,3,8,6,7]=>[8,5,4,7,6,1,3,2]=>[7,1,8,4,3,6,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[4,1,2,5,8,3,6,7]=>[5,8,7,4,1,6,3,2]=>[6,1,8,5,2,7,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,4,2,5,8,3,6,7]=>[8,5,7,4,1,6,3,2]=>[6,1,8,5,3,7,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[4,5,1,2,3,6,8,7]=>[5,4,8,7,6,3,1,2]=>[8,1,7,3,2,6,5,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[8,1,7,4,3,6,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[4,1,2,5,6,3,8,7]=>[5,8,7,4,3,6,1,2]=>[8,1,6,5,2,7,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,4,5,2,6,3,8,7]=>[8,5,4,7,3,6,1,2]=>[8,1,6,4,3,7,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[1,4,5,6,2,3,8,7]=>[8,5,4,3,7,6,1,2]=>[8,1,5,4,3,7,6,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[1,4,5,6,2,8,3,7]=>[8,5,4,3,7,1,6,2]=>[7,1,5,4,3,8,6,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[1,4,5,6,8,2,3,7]=>[8,5,4,3,1,7,6,2]=>[6,1,5,4,3,8,7,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[4,1,5,2,3,6,7,8]=>[5,8,4,7,6,3,2,1]=>[1,8,7,4,2,6,5,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[1,8,7,5,3,6,4,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[1,8,7,4,3,6,5,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[4,1,2,5,6,3,7,8]=>[5,8,7,4,3,6,2,1]=>[1,8,6,5,2,7,4,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[1,4,2,5,6,3,7,8]=>[8,5,7,4,3,6,2,1]=>[1,8,6,5,3,7,4,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[1,4,5,6,2,3,7,8]=>[8,5,4,3,7,6,2,1]=>[1,8,5,4,3,7,6,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[4,1,2,5,6,7,3,8]=>[5,8,7,4,3,2,6,1]=>[1,7,6,5,2,8,4,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]]
[1,4,2,5,6,7,3,8]=>[8,5,7,4,3,2,6,1]=>[1,7,6,5,3,8,4,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[1,4,5,6,2,7,3,8]=>[8,5,4,3,7,2,6,1]=>[1,7,5,4,3,8,6,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[1,6,5,4,3,8,7,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[4,1,2,5,6,7,8,3]=>[5,8,7,4,3,2,1,6]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,4,2,5,6,7,8,3]=>[8,5,7,4,3,2,1,6]=>[8,7,6,5,3,1,4,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,4,5,2,6,7,8,3]=>[8,5,4,7,3,2,1,6]=>[8,7,6,4,3,1,5,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,4,5,6,2,7,8,3]=>[8,5,4,3,7,2,1,6]=>[8,7,5,4,3,1,6,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,4,5,6,7,2,8,3]=>[8,5,4,3,2,7,1,6]=>[8,6,5,4,3,1,7,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,4,5,6,7,8,2,3]=>[8,5,4,3,2,1,7,6]=>[7,6,5,4,3,1,8,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[8,6,4,1,2,7,5,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[8,5,4,1,2,7,6,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,6,7,1,2,3,8,5]=>[5,3,2,8,7,6,1,4]=>[8,4,3,1,2,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[7,6,3,1,2,8,5,4]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[7,5,3,1,2,8,6,4]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[6,4,3,1,2,8,7,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[5,4,3,1,2,8,7,6]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,1,6,2,7,3,5,8]=>[5,8,3,7,2,6,4,1]=>[1,6,4,8,2,7,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,6,1,2,7,3,5,8]=>[5,3,8,7,2,6,4,1]=>[1,6,3,8,2,7,5,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,1,6,7,2,3,5,8]=>[5,8,3,2,7,6,4,1]=>[1,5,4,8,2,7,6,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,6,1,7,2,3,5,8]=>[5,3,8,2,7,6,4,1]=>[1,5,3,8,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,1,6,2,3,7,5,8]=>[5,8,3,7,6,2,4,1]=>[1,7,4,8,2,6,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,1,2,6,3,7,5,8]=>[5,8,7,3,6,2,4,1]=>[1,7,5,8,2,6,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[1,7,5,8,3,6,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,1,2,6,7,3,5,8]=>[5,8,7,3,2,6,4,1]=>[1,6,5,8,2,7,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,4,2,6,7,3,5,8]=>[8,5,7,3,2,6,4,1]=>[1,6,5,8,3,7,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[1,6,4,8,3,7,5,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[1,5,4,8,3,7,6,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,1,6,2,3,7,8,5]=>[5,8,3,7,6,2,1,4]=>[8,7,4,1,2,6,5,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,1,2,6,3,7,8,5]=>[5,8,7,3,6,2,1,4]=>[8,7,5,1,2,6,4,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[4,1,2,6,7,3,8,5]=>[5,8,7,3,2,6,1,4]=>[8,6,5,1,2,7,4,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[1,4,2,6,7,3,8,5]=>[8,5,7,3,2,6,1,4]=>[8,6,5,1,3,7,4,2]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[1,4,6,2,7,3,8,5]=>[8,5,3,7,2,6,1,4]=>[8,6,4,1,3,7,5,2]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[1,4,6,7,2,3,8,5]=>[8,5,3,2,7,6,1,4]=>[8,5,4,1,3,7,6,2]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[4,1,2,6,7,8,3,5]=>[5,8,7,3,2,1,6,4]=>[7,6,5,1,2,8,4,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[1,4,2,6,7,8,3,5]=>[8,5,7,3,2,1,6,4]=>[7,6,5,1,3,8,4,2]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[1,4,6,7,2,8,3,5]=>[8,5,3,2,7,1,6,4]=>[7,5,4,1,3,8,6,2]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[4,1,6,2,8,3,5,7]=>[5,8,3,7,1,6,4,2]=>[6,1,4,8,2,7,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,6,1,8,2,3,5,7]=>[5,3,8,1,7,6,4,2]=>[5,1,3,8,2,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,1,6,2,3,8,5,7]=>[5,8,3,7,6,1,4,2]=>[7,1,4,8,2,6,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,6,1,2,3,8,5,7]=>[5,3,8,7,6,1,4,2]=>[7,1,3,8,2,6,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,1,2,6,3,8,5,7]=>[5,8,7,3,6,1,4,2]=>[7,1,5,8,2,6,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,6,3,8,5,7]=>[8,5,7,3,6,1,4,2]=>[7,1,5,8,3,6,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,4,6,2,3,8,5,7]=>[8,5,3,7,6,1,4,2]=>[7,1,4,8,3,6,5,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[4,1,2,6,8,3,5,7]=>[5,8,7,3,1,6,4,2]=>[6,1,5,8,2,7,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,6,8,3,5,7]=>[8,5,7,3,1,6,4,2]=>[6,1,5,8,3,7,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,4,6,8,2,3,5,7]=>[8,5,3,1,7,6,4,2]=>[5,1,4,8,3,7,6,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[4,1,6,2,3,5,8,7]=>[5,8,3,7,6,4,1,2]=>[8,1,4,7,2,6,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,6,1,2,3,5,8,7]=>[5,3,8,7,6,4,1,2]=>[8,1,3,7,2,6,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,1,2,6,3,5,8,7]=>[5,8,7,3,6,4,1,2]=>[8,1,5,7,2,6,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,6,3,5,8,7]=>[8,5,7,3,6,4,1,2]=>[8,1,5,7,3,6,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,4,6,2,3,5,8,7]=>[8,5,3,7,6,4,1,2]=>[8,1,4,7,3,6,5,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[4,1,2,3,6,5,8,7]=>[5,8,7,6,3,4,1,2]=>[8,1,6,7,2,5,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[1,4,2,3,6,5,8,7]=>[8,5,7,6,3,4,1,2]=>[8,1,6,7,3,5,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,2,4,6,3,5,8,7]=>[8,7,5,3,6,4,1,2]=>[8,1,5,7,4,6,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[4,1,2,3,6,8,5,7]=>[5,8,7,6,3,1,4,2]=>[7,1,6,8,2,5,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[1,2,4,3,6,8,5,7]=>[8,7,5,6,3,1,4,2]=>[7,1,6,8,4,5,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[1,2,4,6,3,8,5,7]=>[8,7,5,3,6,1,4,2]=>[7,1,5,8,4,6,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[1,2,4,6,8,3,5,7]=>[8,7,5,3,1,6,4,2]=>[6,1,5,8,4,7,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[4,1,6,2,3,5,7,8]=>[5,8,3,7,6,4,2,1]=>[1,8,4,7,2,6,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,6,1,2,3,5,7,8]=>[5,3,8,7,6,4,2,1]=>[1,8,3,7,2,6,5,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,4,2,6,3,5,7,8]=>[8,5,7,3,6,4,2,1]=>[1,8,5,7,3,6,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,4,6,2,3,5,7,8]=>[8,5,3,7,6,4,2,1]=>[1,8,4,7,3,6,5,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[4,1,2,3,6,5,7,8]=>[5,8,7,6,3,4,2,1]=>[1,8,6,7,2,5,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[1,8,5,7,4,6,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,1,2,3,6,7,5,8]=>[5,8,7,6,3,2,4,1]=>[1,7,6,8,2,5,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[1,7,6,8,3,5,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[1,2,4,6,3,7,5,8]=>[8,7,5,3,6,2,4,1]=>[1,7,5,8,4,6,3,2]=>[.,[[[[[.,.],[.,.]],[.,.]],.],.]]
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[8,7,6,1,2,5,4,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[1,4,2,3,6,7,8,5]=>[8,5,7,6,3,2,1,4]=>[8,7,6,1,3,5,4,2]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[1,2,4,6,3,7,8,5]=>[8,7,5,3,6,2,1,4]=>[8,7,5,1,4,6,3,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[1,2,4,6,7,3,8,5]=>[8,7,5,3,2,6,1,4]=>[8,6,5,1,4,7,3,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[1,2,4,6,7,8,3,5]=>[8,7,5,3,2,1,6,4]=>[7,6,5,1,4,8,3,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[4,1,7,2,8,3,5,6]=>[5,8,2,7,1,6,4,3]=>[6,4,1,8,2,7,5,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,7,1,2,8,3,5,6]=>[5,2,8,7,1,6,4,3]=>[6,3,1,8,2,7,5,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,1,7,8,2,3,5,6]=>[5,8,2,1,7,6,4,3]=>[5,4,1,8,2,7,6,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,7,1,2,3,8,5,6]=>[5,2,8,7,6,1,4,3]=>[7,3,1,8,2,6,5,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,1,2,7,3,8,5,6]=>[5,8,7,2,6,1,4,3]=>[7,5,1,8,2,6,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,4,2,7,3,8,5,6]=>[8,5,7,2,6,1,4,3]=>[7,5,1,8,3,6,4,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,1,2,7,8,3,5,6]=>[5,8,7,2,1,6,4,3]=>[6,5,1,8,2,7,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,4,2,7,8,3,5,6]=>[8,5,7,2,1,6,4,3]=>[6,5,1,8,3,7,4,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[1,4,7,2,8,3,5,6]=>[8,5,2,7,1,6,4,3]=>[6,4,1,8,3,7,5,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,1,7,2,3,5,8,6]=>[5,8,2,7,6,4,1,3]=>[8,4,1,7,2,6,5,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,7,1,2,3,5,8,6]=>[5,2,8,7,6,4,1,3]=>[8,3,1,7,2,6,5,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,1,2,7,3,5,8,6]=>[5,8,7,2,6,4,1,3]=>[8,5,1,7,2,6,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,4,7,2,3,5,8,6]=>[8,5,2,7,6,4,1,3]=>[8,4,1,7,3,6,5,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,1,2,3,7,5,8,6]=>[5,8,7,6,2,4,1,3]=>[8,6,1,7,2,5,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,4,2,3,7,5,8,6]=>[8,5,7,6,2,4,1,3]=>[8,6,1,7,3,5,4,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,1,2,3,7,8,5,6]=>[5,8,7,6,2,1,4,3]=>[7,6,1,8,2,5,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,2,4,7,3,8,5,6]=>[8,7,5,2,6,1,4,3]=>[7,5,1,8,4,6,3,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[1,2,4,7,8,3,5,6]=>[8,7,5,2,1,6,4,3]=>[6,5,1,8,4,7,3,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[4,1,7,2,3,5,6,8]=>[5,8,2,7,6,4,3,1]=>[1,4,8,7,2,6,5,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[4,1,2,7,3,5,6,8]=>[5,8,7,2,6,4,3,1]=>[1,5,8,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[4,1,2,3,7,5,6,8]=>[5,8,7,6,2,4,3,1]=>[1,6,8,7,2,5,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[1,6,8,7,3,5,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]]
[1,2,4,3,7,5,6,8]=>[8,7,5,6,2,4,3,1]=>[1,6,8,7,4,5,3,2]=>[.,[[[[.,[[.,.],.]],[.,.]],.],.]]
[1,2,4,7,3,5,6,8]=>[8,7,5,2,6,4,3,1]=>[1,5,8,7,4,6,3,2]=>[.,[[[[.,[[.,.],.]],[.,.]],.],.]]
[4,1,2,3,5,7,6,8]=>[5,8,7,6,4,2,3,1]=>[1,7,8,6,2,5,4,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[1,7,8,6,3,5,4,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[4,1,2,3,5,7,8,6]=>[5,8,7,6,4,2,1,3]=>[8,7,1,6,2,5,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[1,4,2,3,5,7,8,6]=>[8,5,7,6,4,2,1,3]=>[8,7,1,6,3,5,4,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[1,2,4,5,7,3,8,6]=>[8,7,5,4,2,6,1,3]=>[8,6,1,5,4,7,3,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[1,2,4,5,7,8,3,6]=>[8,7,5,4,2,1,6,3]=>[7,6,1,5,4,8,3,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[4,1,8,2,3,5,6,7]=>[5,8,1,7,6,4,3,2]=>[4,1,8,7,2,6,5,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,1,2,8,3,5,6,7]=>[5,8,7,1,6,4,3,2]=>[5,1,8,7,2,6,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,4,2,8,3,5,6,7]=>[8,5,7,1,6,4,3,2]=>[5,1,8,7,3,6,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[6,1,8,7,2,5,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,2,4,3,8,5,6,7]=>[8,7,5,6,1,4,3,2]=>[6,1,8,7,4,5,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[1,2,4,8,3,5,6,7]=>[8,7,5,1,6,4,3,2]=>[5,1,8,7,4,6,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[7,1,8,6,2,5,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,4,2,3,5,8,6,7]=>[8,5,7,6,4,1,3,2]=>[7,1,8,6,3,5,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[1,2,4,3,5,8,6,7]=>[8,7,5,6,4,1,3,2]=>[7,1,8,6,4,5,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[1,2,4,5,8,3,6,7]=>[8,7,5,4,1,6,3,2]=>[6,1,8,5,4,7,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[8,1,7,6,2,5,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[8,1,7,6,3,5,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[1,2,4,5,6,8,3,7]=>[8,7,5,4,3,1,6,2]=>[7,1,6,5,4,8,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[1,8,7,6,3,5,4,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[8,6,4,2,1,7,5,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,6,1,2,7,3,8,4]=>[4,3,8,7,2,6,1,5]=>[8,6,3,2,1,7,5,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[8,5,4,2,1,7,6,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[7,6,3,2,1,8,5,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,6,7,2,8,3,4]=>[4,8,3,2,7,1,6,5]=>[7,5,4,2,1,8,6,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[7,5,3,2,1,8,6,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,6,7,1,2,8,3,4]=>[4,3,2,8,7,1,6,5]=>[7,4,3,2,1,8,6,5]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,6,1,7,8,2,3,4]=>[4,3,8,2,1,7,6,5]=>[6,5,3,2,1,8,7,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[6,4,3,2,1,8,7,5]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,6,2,7,3,4,8]=>[4,8,3,7,2,6,5,1]=>[1,6,4,2,8,7,5,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,6,1,7,2,3,4,8]=>[4,3,8,2,7,6,5,1]=>[1,5,3,2,8,7,6,4]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,1,6,2,3,7,4,8]=>[4,8,3,7,6,2,5,1]=>[1,7,4,2,8,6,5,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,6,1,2,3,7,4,8]=>[4,3,8,7,6,2,5,1]=>[1,7,3,2,8,6,5,4]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,1,2,6,3,7,4,8]=>[4,8,7,3,6,2,5,1]=>[1,7,5,2,8,6,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[5,1,2,6,7,3,4,8]=>[4,8,7,3,2,6,5,1]=>[1,6,5,2,8,7,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[1,5,4,3,8,7,6,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[5,1,6,2,3,7,8,4]=>[4,8,3,7,6,2,1,5]=>[8,7,4,2,1,6,5,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,6,1,2,3,7,8,4]=>[4,3,8,7,6,2,1,5]=>[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[8,7,5,2,1,6,4,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,5,2,6,3,7,8,4]=>[8,4,7,3,6,2,1,5]=>[8,7,5,3,1,6,4,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,2,6,7,3,8,4]=>[4,8,7,3,2,6,1,5]=>[8,6,5,2,1,7,4,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,5,6,7,2,3,8,4]=>[8,4,3,2,7,6,1,5]=>[8,5,4,3,1,7,6,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,2,6,7,8,3,4]=>[4,8,7,3,2,1,6,5]=>[7,6,5,2,1,8,4,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,5,6,2,7,8,3,4]=>[8,4,3,7,2,1,6,5]=>[7,6,4,3,1,8,5,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,5,6,7,2,8,3,4]=>[8,4,3,2,7,1,6,5]=>[7,5,4,3,1,8,6,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,5,6,7,8,2,3,4]=>[8,4,3,2,1,7,6,5]=>[6,5,4,3,1,8,7,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,6,8,2,3,4,7]=>[4,8,3,1,7,6,5,2]=>[5,1,4,2,8,7,6,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[5,1,2,6,3,8,4,7]=>[4,8,7,3,6,1,5,2]=>[7,1,5,2,8,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,5,2,6,3,8,4,7]=>[8,4,7,3,6,1,5,2]=>[7,1,5,3,8,6,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,5,6,2,3,8,4,7]=>[8,4,3,7,6,1,5,2]=>[7,1,4,3,8,6,5,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[5,1,2,6,8,3,4,7]=>[4,8,7,3,1,6,5,2]=>[6,1,5,2,8,7,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,5,2,6,8,3,4,7]=>[8,4,7,3,1,6,5,2]=>[6,1,5,3,8,7,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,5,6,2,8,3,4,7]=>[8,4,3,7,1,6,5,2]=>[6,1,4,3,8,7,5,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[5,6,1,2,3,4,8,7]=>[4,3,8,7,6,5,1,2]=>[8,1,3,2,7,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[5,1,2,6,3,4,8,7]=>[4,8,7,3,6,5,1,2]=>[8,1,5,2,7,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,5,6,2,3,4,8,7]=>[8,4,3,7,6,5,1,2]=>[8,1,4,3,7,6,5,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,5,2,3,6,4,8,7]=>[8,4,7,6,3,5,1,2]=>[8,1,6,3,7,5,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,2,5,3,6,4,8,7]=>[8,7,4,6,3,5,1,2]=>[8,1,6,4,7,5,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[8,1,5,4,7,6,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[5,1,2,3,6,8,4,7]=>[4,8,7,6,3,1,5,2]=>[7,1,6,2,8,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,2,5,6,3,8,4,7]=>[8,7,4,3,6,1,5,2]=>[7,1,5,4,8,6,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[5,1,6,2,3,4,7,8]=>[4,8,3,7,6,5,2,1]=>[1,8,4,2,7,6,5,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,1,2,6,3,4,7,8]=>[4,8,7,3,6,5,2,1]=>[1,8,5,2,7,6,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[1,5,2,3,6,4,7,8]=>[8,4,7,6,3,5,2,1]=>[1,8,6,3,7,5,4,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[1,8,6,4,7,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[1,8,5,4,7,6,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[5,1,2,3,6,7,4,8]=>[4,8,7,6,3,2,5,1]=>[1,7,6,2,8,5,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[1,2,5,3,6,7,4,8]=>[8,7,4,6,3,2,5,1]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,2,5,6,3,7,4,8]=>[8,7,4,3,6,2,5,1]=>[1,7,5,4,8,6,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[1,2,5,3,6,7,8,4]=>[8,7,4,6,3,2,1,5]=>[8,7,6,4,1,5,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,2,5,6,3,7,8,4]=>[8,7,4,3,6,2,1,5]=>[8,7,5,4,1,6,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[1,2,5,6,7,8,3,4]=>[8,7,4,3,2,1,6,5]=>[7,6,5,4,1,8,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[5,1,7,2,8,3,4,6]=>[4,8,2,7,1,6,5,3]=>[6,4,1,2,8,7,5,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,7,1,2,8,3,4,6]=>[4,2,8,7,1,6,5,3]=>[6,3,1,2,8,7,5,4]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,1,7,8,2,3,4,6]=>[4,8,2,1,7,6,5,3]=>[5,4,1,2,8,7,6,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,7,8,1,2,3,4,6]=>[4,2,1,8,7,6,5,3]=>[4,3,1,2,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,7,1,2,3,8,4,6]=>[4,2,8,7,6,1,5,3]=>[7,3,1,2,8,6,5,4]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[7,5,1,2,8,6,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[1,5,2,7,3,8,4,6]=>[8,4,7,2,6,1,5,3]=>[7,5,1,3,8,6,4,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[5,1,2,7,8,3,4,6]=>[4,8,7,2,1,6,5,3]=>[6,5,1,2,8,7,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[1,5,2,7,8,3,4,6]=>[8,4,7,2,1,6,5,3]=>[6,5,1,3,8,7,4,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[1,5,7,2,8,3,4,6]=>[8,4,2,7,1,6,5,3]=>[6,4,1,3,8,7,5,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[5,1,7,2,3,4,8,6]=>[4,8,2,7,6,5,1,3]=>[8,4,1,2,7,6,5,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,7,1,2,3,4,8,6]=>[4,2,8,7,6,5,1,3]=>[8,3,1,2,7,6,5,4]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[8,5,1,2,7,6,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[1,5,2,7,3,4,8,6]=>[8,4,7,2,6,5,1,3]=>[8,5,1,3,7,6,4,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[1,5,7,2,3,4,8,6]=>[8,4,2,7,6,5,1,3]=>[8,4,1,3,7,6,5,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[5,1,2,3,7,4,8,6]=>[4,8,7,6,2,5,1,3]=>[8,6,1,2,7,5,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[1,2,5,7,3,4,8,6]=>[8,7,4,2,6,5,1,3]=>[8,5,1,4,7,6,3,2]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]
[5,1,2,3,7,8,4,6]=>[4,8,7,6,2,1,5,3]=>[7,6,1,2,8,5,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[1,5,2,3,7,8,4,6]=>[8,4,7,6,2,1,5,3]=>[7,6,1,3,8,5,4,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[7,5,1,4,8,6,3,2]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]
[5,1,7,2,3,4,6,8]=>[4,8,2,7,6,5,3,1]=>[1,4,8,2,7,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[5,7,1,2,3,4,6,8]=>[4,2,8,7,6,5,3,1]=>[1,3,8,2,7,6,5,4]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[1,5,8,2,7,6,4,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[1,5,8,3,7,6,4,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[1,5,7,2,3,4,6,8]=>[8,4,2,7,6,5,3,1]=>[1,4,8,3,7,6,5,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[5,1,2,3,7,4,6,8]=>[4,8,7,6,2,5,3,1]=>[1,6,8,2,7,5,4,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[1,2,5,3,7,4,6,8]=>[8,7,4,6,2,5,3,1]=>[1,6,8,4,7,5,3,2]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[1,2,5,7,3,4,6,8]=>[8,7,4,2,6,5,3,1]=>[1,5,8,4,7,6,3,2]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[1,7,8,3,6,5,4,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[1,2,3,5,7,4,6,8]=>[8,7,6,4,2,5,3,1]=>[1,6,8,5,7,4,3,2]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]]
[5,1,2,3,4,7,8,6]=>[4,8,7,6,5,2,1,3]=>[8,7,1,2,6,5,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[1,5,2,3,4,7,8,6]=>[8,4,7,6,5,2,1,3]=>[8,7,1,3,6,5,4,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[1,2,5,3,4,7,8,6]=>[8,7,4,6,5,2,1,3]=>[8,7,1,4,6,5,3,2]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]
[1,2,3,5,7,8,4,6]=>[8,7,6,4,2,1,5,3]=>[7,6,1,5,8,4,3,2]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]
[5,8,1,2,3,4,6,7]=>[4,1,8,7,6,5,3,2]=>[3,1,8,2,7,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[5,1,8,2,7,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,5,2,8,3,4,6,7]=>[8,4,7,1,6,5,3,2]=>[5,1,8,3,7,6,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[6,1,8,2,7,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,2,5,3,8,4,6,7]=>[8,7,4,6,1,5,3,2]=>[6,1,8,4,7,5,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[1,2,5,8,3,4,6,7]=>[8,7,4,1,6,5,3,2]=>[5,1,8,4,7,6,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[7,1,8,2,6,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[7,1,8,3,6,5,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,2,5,3,4,8,6,7]=>[8,7,4,6,5,1,3,2]=>[7,1,8,4,6,5,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[1,2,3,5,8,4,6,7]=>[8,7,6,4,1,5,3,2]=>[6,1,8,5,7,4,3,2]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]
[5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[8,1,7,2,6,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[8,1,7,3,6,5,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,2,5,3,4,6,8,7]=>[8,7,4,6,5,3,1,2]=>[8,1,7,4,6,5,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[1,2,3,5,6,8,4,7]=>[8,7,6,4,3,1,5,2]=>[7,1,6,5,8,4,3,2]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]
[1,5,2,3,4,6,7,8]=>[8,4,7,6,5,3,2,1]=>[1,8,7,3,6,5,4,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[1,2,5,3,4,6,7,8]=>[8,7,4,6,5,3,2,1]=>[1,8,7,4,6,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[6,4,2,1,8,7,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,7,1,2,8,3,4,5]=>[3,2,8,7,1,6,5,4]=>[6,3,2,1,8,7,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,7,8,2,3,4,5]=>[3,8,2,1,7,6,5,4]=>[5,4,2,1,8,7,6,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,7,1,8,2,3,4,5]=>[3,2,8,1,7,6,5,4]=>[5,3,2,1,8,7,6,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,7,2,3,8,4,5]=>[3,8,2,7,6,1,5,4]=>[7,4,2,1,8,6,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,7,1,2,3,8,4,5]=>[3,2,8,7,6,1,5,4]=>[7,3,2,1,8,6,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,2,7,3,8,4,5]=>[3,8,7,2,6,1,5,4]=>[7,5,2,1,8,6,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[7,5,3,1,8,6,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,7,2,3,8,4,5]=>[8,3,2,7,6,1,5,4]=>[7,4,3,1,8,6,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,2,7,8,3,4,5]=>[3,8,7,2,1,6,5,4]=>[6,5,2,1,8,7,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,2,7,8,3,4,5]=>[8,3,7,2,1,6,5,4]=>[6,5,3,1,8,7,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,7,2,8,3,4,5]=>[8,3,2,7,1,6,5,4]=>[6,4,3,1,8,7,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,7,8,2,3,4,5]=>[8,3,2,1,7,6,5,4]=>[5,4,3,1,8,7,6,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,7,2,3,4,8,5]=>[3,8,2,7,6,5,1,4]=>[8,4,2,1,7,6,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,7,1,2,3,4,8,5]=>[3,2,8,7,6,5,1,4]=>[8,3,2,1,7,6,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[8,5,2,1,7,6,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,7,2,3,4,8,5]=>[8,3,2,7,6,5,1,4]=>[8,4,3,1,7,6,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,2,3,7,4,8,5]=>[8,3,7,6,2,5,1,4]=>[8,6,3,1,7,5,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[8,6,4,1,7,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,6,7,3,4,8,5]=>[8,7,3,2,6,5,1,4]=>[8,5,4,1,7,6,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,2,3,7,8,4,5]=>[3,8,7,6,2,1,5,4]=>[7,6,2,1,8,5,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,6,3,7,8,4,5]=>[8,7,3,6,2,1,5,4]=>[7,6,4,1,8,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[6,5,4,1,8,7,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[1,4,2,8,7,6,5,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[1,5,2,8,7,6,4,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[1,5,3,8,7,6,4,2]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]
[1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[1,4,3,8,7,6,5,2]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]
[6,1,2,3,7,4,5,8]=>[3,8,7,6,2,5,4,1]=>[1,6,2,8,7,5,4,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[1,2,6,3,7,4,5,8]=>[8,7,3,6,2,5,4,1]=>[1,6,4,8,7,5,3,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]
[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[1,7,4,8,6,5,3,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]
[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[1,6,5,8,7,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[6,1,2,3,4,7,8,5]=>[3,8,7,6,5,2,1,4]=>[8,7,2,1,6,5,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,6,2,3,4,7,8,5]=>[8,3,7,6,5,2,1,4]=>[8,7,3,1,6,5,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,6,3,4,7,8,5]=>[8,7,3,6,5,2,1,4]=>[8,7,4,1,6,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,3,6,4,7,8,5]=>[8,7,6,3,5,2,1,4]=>[8,7,5,1,6,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,3,6,7,4,8,5]=>[8,7,6,3,2,5,1,4]=>[8,6,5,1,7,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,2,3,6,7,8,4,5]=>[8,7,6,3,2,1,5,4]=>[7,6,5,1,8,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[4,1,2,8,7,6,5,3]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]
[6,8,1,2,3,4,5,7]=>[3,1,8,7,6,5,4,2]=>[3,1,2,8,7,6,5,4]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]
[1,6,8,2,3,4,5,7]=>[8,3,1,7,6,5,4,2]=>[4,1,3,8,7,6,5,2]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]
[1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[6,1,3,8,7,5,4,2]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]
[1,2,6,3,8,4,5,7]=>[8,7,3,6,1,5,4,2]=>[6,1,4,8,7,5,3,2]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]
[1,2,6,8,3,4,5,7]=>[8,7,3,1,6,5,4,2]=>[5,1,4,8,7,6,3,2]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]
[6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[7,1,2,8,6,5,4,3]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]
[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[7,1,3,8,6,5,4,2]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]
[1,2,3,6,4,8,5,7]=>[8,7,6,3,5,1,4,2]=>[7,1,5,8,6,4,3,2]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]
[6,1,2,3,4,5,8,7]=>[3,8,7,6,5,4,1,2]=>[8,1,2,7,6,5,4,3]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]
[1,6,2,3,4,5,8,7]=>[8,3,7,6,5,4,1,2]=>[8,1,3,7,6,5,4,2]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]
[1,2,6,3,4,5,8,7]=>[8,7,3,6,5,4,1,2]=>[8,1,4,7,6,5,3,2]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]
[1,2,3,4,6,8,5,7]=>[8,7,6,5,3,1,4,2]=>[7,1,6,8,5,4,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[1,6,2,3,4,5,7,8]=>[8,3,7,6,5,4,2,1]=>[1,8,3,7,6,5,4,2]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]
[1,2,6,3,4,5,7,8]=>[8,7,3,6,5,4,2,1]=>[1,8,4,7,6,5,3,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]
[1,2,3,6,4,5,7,8]=>[8,7,6,3,5,4,2,1]=>[1,8,5,7,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[4,2,1,8,7,6,5,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[5,2,1,8,7,6,4,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[5,3,1,8,7,6,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,7,8,2,3,4,5,6]=>[8,2,1,7,6,5,4,3]=>[4,3,1,8,7,6,5,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[6,2,1,8,7,5,4,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,8,4,5,6]=>[8,2,7,6,1,5,4,3]=>[6,3,1,8,7,5,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[6,4,1,8,7,5,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,7,8,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[5,4,1,8,7,6,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,4,8,5,6]=>[2,8,7,6,5,1,4,3]=>[7,2,1,8,6,5,4,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,4,8,5,6]=>[8,2,7,6,5,1,4,3]=>[7,3,1,8,6,5,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,4,8,5,6]=>[8,7,2,6,5,1,4,3]=>[7,4,1,8,6,5,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[7,5,1,8,6,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,4,5,8,6]=>[2,8,7,6,5,4,1,3]=>[8,2,1,7,6,5,4,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[8,3,1,7,6,5,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,4,5,8,6]=>[8,7,2,6,5,4,1,3]=>[8,4,1,7,6,5,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,4,5,8,6]=>[8,7,6,2,5,4,1,3]=>[8,5,1,7,6,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,5,8,6]=>[8,7,6,5,2,4,1,3]=>[8,6,1,7,5,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[7,6,1,8,5,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[1,3,8,7,6,5,4,2]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]
[1,2,7,3,4,5,6,8]=>[8,7,2,6,5,4,3,1]=>[1,4,8,7,6,5,3,2]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]]
[1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[1,5,8,7,6,4,3,2]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]
[1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[1,6,8,7,5,4,3,2]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]
[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[3,1,8,7,6,5,4,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[4,1,8,7,6,5,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[5,1,8,7,6,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[6,1,8,7,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[7,1,8,6,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[8,1,5,2,7,3,4,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,2,5,4,8,1,6]=>[2,6,7,4,5,1,8,3]=>[7,2,1,5,6,3,4,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[8,4,5,2,3,7,6,1]=>[1,5,4,7,6,2,3,8]=>[2,7,8,4,3,6,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[7,4,5,2,3,8,1,6]=>[2,5,4,7,6,1,8,3]=>[7,2,1,4,3,6,5,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[8,1,2,4,3,6,5,7]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[8,1,4,2,3,7,5,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[8,1,3,5,6,2,7,4]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[8,1,3,4,2,6,7,5]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[8,1,3,2,4,5,7,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[7,2,1,3,4,5,6,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[2,6,3,8,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[6,2,3,1,4,5,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[6,3,2,1,4,5,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[7,3,1,2,4,5,8,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[7,3,1,4,2,6,8,5]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[7,3,1,5,6,2,8,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,1,7,5,4,8,3,6]=>[7,8,2,4,5,1,6,3]=>[7,4,1,5,6,8,2,3]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[3,8,1,5,4,7,6,2]=>[6,1,8,4,5,2,3,7]=>[3,7,8,5,6,2,1,4]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[3,7,8,4,2,6,1,5]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[3,7,8,2,4,5,1,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[3,6,2,8,4,5,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[3,2,6,7,4,5,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[3,5,2,4,8,6,1,7]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[3,5,4,2,8,7,1,6]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[3,6,4,8,2,7,1,5]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[3,6,5,8,7,2,1,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[4,6,5,8,7,1,2,3]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[6,4,5,1,7,8,2,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[6,3,5,1,7,2,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[6,3,4,1,2,7,8,5]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[5,3,4,2,1,7,8,6]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[7,4,1,2,3,8,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[6,4,7,2,8,1,3,5]=>[3,5,2,7,1,8,6,4]=>[6,4,2,1,3,8,5,7]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[7,4,6,2,8,3,1,5]=>[2,5,3,7,1,6,8,4]=>[6,2,4,1,3,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[2,6,4,8,3,7,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[2,6,5,8,7,3,4,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[7,3,2,6,8,4,1,5]=>[2,6,7,3,1,5,8,4]=>[6,2,5,1,7,3,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[6,5,2,1,8,3,4,7]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[7,5,1,2,8,3,4,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[7,6,1,8,2,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[6,7,8,1,3,2,5,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[5,7,8,2,1,3,4,6]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[5,6,2,8,1,3,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[4,2,6,7,3,1,5,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[4,6,2,8,3,1,5,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]=>[4,7,8,2,3,1,5,6]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[4,7,8,3,2,1,6,5]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[5,7,8,3,1,2,6,4]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[5,7,8,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[5,6,4,8,1,7,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[5,6,3,8,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[4,6,3,8,2,1,7,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[4,5,3,2,8,1,7,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[4,5,2,3,8,1,6,7]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[4,2,5,3,7,1,6,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[4,3,5,2,7,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[4,3,6,7,2,1,8,5]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[5,3,6,7,1,2,8,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[5,4,6,7,1,8,2,3]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[3,5,6,7,8,2,1,4]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[3,4,6,7,2,8,1,5]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[3,4,5,2,7,8,1,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[3,4,2,5,6,8,1,7]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[10,1,8,9,6,7,4,5,2,3]=>[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]
[6,5,4,3,2,1,8,7,10,9]=>[5,6,7,8,9,10,3,4,1,2]=>[10,1,8,9,2,3,4,5,6,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]
[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[10,1,4,5,6,7,8,9,2,3]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,7,6,5,4,3,2,10,1,8]=>[2,4,5,6,7,8,9,1,10,3]=>[9,2,1,3,4,5,6,7,8,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[2,4,3,6,5,8,7,10,9,1]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]
[5,9,8,7,1,10,4,3,2,6]=>[6,2,3,4,10,1,7,8,9,5]=>[7,3,4,5,1,2,8,9,10,6]=>[[[.,.],[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[6,5,4,3,2,1,10,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]
[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[8,9,10,1,6,7,4,5,2,3]=>[[.,[.,[.,.]]],[[[.,[.,.]],[.,.]],[.,.]]]
[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[8,9,10,1,4,5,6,7,2,3]=>[[.,[.,[.,.]]],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[8,9,10,1,2,3,4,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[6,7,8,9,10,1,4,5,2,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],[.,.]]]
[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]
[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,1,2,3]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,2,5,1,4,6,7,8]=>[6,7,4,8,5,3,2,1]=>[1,8,7,4,6,2,3,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[1,8,7,4,2,6,3,5]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,2,4,1,3,6,7,8]=>[4,7,5,8,6,3,2,1]=>[1,8,7,2,4,6,3,5]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[3,2,6,1,4,5,7,8]=>[6,7,3,8,5,4,2,1]=>[1,8,4,7,6,2,3,5]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,2,6,1,3,5,7,8]=>[5,7,3,8,6,4,2,1]=>[1,8,4,7,2,6,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,2,6,1,3,4,7,8]=>[4,7,3,8,6,5,2,1]=>[1,8,4,2,7,6,3,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,3,6,1,2,4,7,8]=>[4,6,3,8,7,5,2,1]=>[1,8,4,2,7,3,6,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[6,2,4,1,3,5,7,8]=>[3,7,5,8,6,4,2,1]=>[1,8,2,7,4,6,3,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,2,5,1,3,4,7,8]=>[3,7,4,8,6,5,2,1]=>[1,8,2,4,7,6,3,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,3,5,1,2,4,7,8]=>[3,6,4,8,7,5,2,1]=>[1,8,2,4,7,3,6,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,2,7,1,3,5,6,8]=>[5,7,2,8,6,4,3,1]=>[1,4,8,7,2,6,3,5]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,3,7,1,2,5,6,8]=>[5,6,2,8,7,4,3,1]=>[1,4,8,7,2,3,6,5]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[5,4,7,1,2,3,6,8]=>[4,5,2,8,7,6,3,1]=>[1,4,8,2,3,7,6,5]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[6,2,7,1,3,4,5,8]=>[3,7,2,8,6,5,4,1]=>[1,4,2,8,7,6,3,5]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,3,7,1,2,4,5,8]=>[3,6,2,8,7,5,4,1]=>[1,4,2,8,7,3,6,5]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[6,4,7,1,2,3,5,8]=>[3,5,2,8,7,6,4,1]=>[1,4,2,8,3,7,6,5]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[7,2,5,1,3,4,6,8]=>[2,7,4,8,6,5,3,1]=>[1,2,8,4,7,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[7,3,5,1,2,4,6,8]=>[2,6,4,8,7,5,3,1]=>[1,2,8,4,7,3,6,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,4,6,1,2,3,5,8]=>[2,5,3,8,7,6,4,1]=>[1,2,4,8,3,7,6,5]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[4,1,8,7,6,2,3,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[4,2,8,1,3,5,6,7]=>[5,7,1,8,6,4,3,2]=>[4,1,8,7,2,6,3,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,3,8,1,2,5,6,7]=>[5,6,1,8,7,4,3,2]=>[4,1,8,7,2,3,6,5]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,3,8,1,2,4,6,7]=>[4,6,1,8,7,5,3,2]=>[4,1,8,2,7,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,8,1,2,3,6,7]=>[4,5,1,8,7,6,3,2]=>[4,1,8,2,3,7,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[6,3,8,1,2,4,5,7]=>[3,6,1,8,7,5,4,2]=>[4,1,2,8,7,3,6,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[6,5,8,1,2,3,4,7]=>[3,4,1,8,7,6,5,2]=>[4,1,2,3,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[7,2,8,1,3,4,5,6]=>[2,7,1,8,6,5,4,3]=>[4,2,1,8,7,6,3,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[7,4,8,1,2,3,5,6]=>[2,5,1,8,7,6,4,3]=>[4,2,1,8,3,7,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[7,5,8,1,2,3,4,6]=>[2,4,1,8,7,6,5,3]=>[4,2,1,3,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[8,2,4,1,3,5,6,7]=>[1,7,5,8,6,4,3,2]=>[2,1,8,7,4,6,3,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[8,2,5,1,3,4,6,7]=>[1,7,4,8,6,5,3,2]=>[2,1,8,4,7,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[8,3,5,1,2,4,6,7]=>[1,6,4,8,7,5,3,2]=>[2,1,8,4,7,3,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[8,4,6,1,2,3,5,7]=>[1,5,3,8,7,6,4,2]=>[2,1,4,8,3,7,6,5]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[8,2,7,1,3,4,5,6]=>[1,7,2,8,6,5,4,3]=>[2,4,1,8,7,6,3,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[8,3,7,1,2,4,5,6]=>[1,6,2,8,7,5,4,3]=>[2,4,1,8,7,3,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,5,7,1,2,3,4,6]=>[1,4,2,8,7,6,5,3]=>[2,4,1,3,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[3,2,5,7,1,4,6,8]=>[6,7,4,2,8,5,3,1]=>[1,5,8,4,7,2,3,6]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,5,7,1,3,6,8]=>[5,7,4,2,8,6,3,1]=>[1,5,8,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,2,4,7,1,3,6,8]=>[4,7,5,2,8,6,3,1]=>[1,5,8,2,4,7,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,3,4,7,1,2,6,8]=>[4,6,5,2,8,7,3,1]=>[1,5,8,2,4,3,7,6]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,2,6,7,1,3,5,8]=>[5,7,3,2,8,6,4,1]=>[1,5,4,8,2,7,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,6,7,1,2,5,8]=>[5,6,3,2,8,7,4,1]=>[1,5,4,8,2,3,7,6]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[1,5,4,2,8,7,3,6]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,3,6,7,1,2,4,8]=>[4,6,3,2,8,7,5,1]=>[1,5,4,2,8,3,7,6]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[6,2,4,7,1,3,5,8]=>[3,7,5,2,8,6,4,1]=>[1,5,2,8,4,7,3,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,3,4,7,1,2,5,8]=>[3,6,5,2,8,7,4,1]=>[1,5,2,8,4,3,7,6]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[6,2,5,7,1,3,4,8]=>[3,7,4,2,8,6,5,1]=>[1,5,2,4,8,7,3,6]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,3,5,7,1,2,4,8]=>[3,6,4,2,8,7,5,1]=>[1,5,2,4,8,3,7,6]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[7,2,4,6,1,3,5,8]=>[2,7,5,3,8,6,4,1]=>[1,2,5,8,4,7,3,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,3,5,6,1,2,4,8]=>[2,6,4,3,8,7,5,1]=>[1,2,5,4,8,3,7,6]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,2,5,8,1,4,6,7]=>[6,7,4,1,8,5,3,2]=>[5,1,8,4,7,2,3,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,5,8,1,3,6,7]=>[5,7,4,1,8,6,3,2]=>[5,1,8,4,2,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,3,5,8,1,2,6,7]=>[5,6,4,1,8,7,3,2]=>[5,1,8,4,2,3,7,6]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,2,6,8,1,4,5,7]=>[6,7,3,1,8,5,4,2]=>[5,1,4,8,7,2,3,6]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,2,6,8,1,3,5,7]=>[5,7,3,1,8,6,4,2]=>[5,1,4,8,2,7,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,6,8,1,2,5,7]=>[5,6,3,1,8,7,4,2]=>[5,1,4,8,2,3,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[5,2,6,8,1,3,4,7]=>[4,7,3,1,8,6,5,2]=>[5,1,4,2,8,7,3,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,8,1,2,4,7]=>[4,6,3,1,8,7,5,2]=>[5,1,4,2,8,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,6,8,1,2,3,7]=>[4,5,3,1,8,7,6,2]=>[5,1,4,2,3,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[6,3,4,8,1,2,5,7]=>[3,6,5,1,8,7,4,2]=>[5,1,2,8,4,3,7,6]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[6,2,5,8,1,3,4,7]=>[3,7,4,1,8,6,5,2]=>[5,1,2,4,8,7,3,6]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[6,3,5,8,1,2,4,7]=>[3,6,4,1,8,7,5,2]=>[5,1,2,4,8,3,7,6]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[3,2,7,8,1,4,5,6]=>[6,7,2,1,8,5,4,3]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[4,3,7,8,1,2,5,6]=>[5,6,2,1,8,7,4,3]=>[5,4,1,8,2,3,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,3,7,8,1,2,4,6]=>[4,6,2,1,8,7,5,3]=>[5,4,1,2,8,3,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[5,4,7,8,1,2,3,6]=>[4,5,2,1,8,7,6,3]=>[5,4,1,2,3,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[6,2,7,8,1,3,4,5]=>[3,7,2,1,8,6,5,4]=>[5,4,2,1,8,7,3,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[7,3,4,8,1,2,5,6]=>[2,6,5,1,8,7,4,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[7,4,5,8,1,2,3,6]=>[2,5,4,1,8,7,6,3]=>[5,2,1,4,3,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[7,4,6,8,1,2,3,5]=>[2,5,3,1,8,7,6,4]=>[5,2,4,1,3,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[8,2,4,6,1,3,5,7]=>[1,7,5,3,8,6,4,2]=>[2,1,5,8,4,7,3,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[8,3,4,6,1,2,5,7]=>[1,6,5,3,8,7,4,2]=>[2,1,5,8,4,3,7,6]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[8,3,5,6,1,2,4,7]=>[1,6,4,3,8,7,5,2]=>[2,1,5,4,8,3,7,6]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[8,2,4,7,1,3,5,6]=>[1,7,5,2,8,6,4,3]=>[2,5,1,8,4,7,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,3,4,7,1,2,5,6]=>[1,6,5,2,8,7,4,3]=>[2,5,1,8,4,3,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,2,5,7,1,3,4,6]=>[1,7,4,2,8,6,5,3]=>[2,5,1,4,8,7,3,6]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[8,2,6,7,1,3,4,5]=>[1,7,3,2,8,6,5,4]=>[2,5,4,1,8,7,3,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[8,4,6,7,1,2,3,5]=>[1,5,3,2,8,7,6,4]=>[2,5,4,1,3,8,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[1,8,3,5,7,2,4,6]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,6,2,5,1,3,7,8]=>[5,3,7,4,8,6,2,1]=>[1,8,3,5,2,7,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,6,2,4,1,3,7,8]=>[4,3,7,5,8,6,2,1]=>[1,8,3,2,5,7,4,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[4,7,2,5,1,3,6,8]=>[5,2,7,4,8,6,3,1]=>[1,3,8,5,2,7,4,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,7,2,4,1,3,6,8]=>[4,2,7,5,8,6,3,1]=>[1,3,8,2,5,7,4,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,7,3,4,1,2,6,8]=>[4,2,6,5,8,7,3,1]=>[1,3,8,2,5,4,7,6]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,7,2,6,1,4,5,8]=>[6,2,7,3,8,5,4,1]=>[1,3,5,8,7,2,4,6]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[4,7,3,6,1,2,5,8]=>[5,2,6,3,8,7,4,1]=>[1,3,5,8,2,4,7,6]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,7,3,6,1,2,4,8]=>[4,2,6,3,8,7,5,1]=>[1,3,5,2,8,4,7,6]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[5,7,4,6,1,2,3,8]=>[4,2,5,3,8,7,6,1]=>[1,3,5,2,4,8,7,6]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[6,7,2,4,1,3,5,8]=>[3,2,7,5,8,6,4,1]=>[1,3,2,8,5,7,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,7,2,5,1,3,4,8]=>[3,2,7,4,8,6,5,1]=>[1,3,2,5,8,7,4,6]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[3,8,2,5,1,4,6,7]=>[6,1,7,4,8,5,3,2]=>[3,1,8,5,7,2,4,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,8,2,5,1,3,6,7]=>[5,1,7,4,8,6,3,2]=>[3,1,8,5,2,7,4,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,8,3,4,1,2,6,7]=>[4,1,6,5,8,7,3,2]=>[3,1,8,2,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,2,6,1,3,5,7]=>[5,1,7,3,8,6,4,2]=>[3,1,5,8,2,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,8,2,6,1,3,4,7]=>[4,1,7,3,8,6,5,2]=>[3,1,5,2,8,7,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,8,3,6,1,2,4,7]=>[4,1,6,3,8,7,5,2]=>[3,1,5,2,8,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,2,4,1,3,5,7]=>[3,1,7,5,8,6,4,2]=>[3,1,2,8,5,7,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[6,8,3,4,1,2,5,7]=>[3,1,6,5,8,7,4,2]=>[3,1,2,8,5,4,7,6]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[6,8,2,5,1,3,4,7]=>[3,1,7,4,8,6,5,2]=>[3,1,2,5,8,7,4,6]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[3,5,1,8,7,2,4,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[4,8,2,7,1,3,5,6]=>[5,1,7,2,8,6,4,3]=>[3,5,1,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,8,3,7,1,2,5,6]=>[5,1,6,2,8,7,4,3]=>[3,5,1,8,2,4,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,8,3,7,1,2,4,6]=>[4,1,6,2,8,7,5,3]=>[3,5,1,2,8,4,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,8,4,7,1,2,3,6]=>[4,1,5,2,8,7,6,3]=>[3,5,1,2,4,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[6,8,5,7,1,2,3,4]=>[3,1,4,2,8,7,6,5]=>[3,5,2,4,1,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[7,8,2,4,1,3,5,6]=>[2,1,7,5,8,6,4,3]=>[3,2,1,8,5,7,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[7,8,2,6,1,3,4,5]=>[2,1,7,3,8,6,5,4]=>[3,2,5,1,8,7,4,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[7,8,3,6,1,2,4,5]=>[2,1,6,3,8,7,5,4]=>[3,2,5,1,8,4,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,8,4,6,1,2,3,5]=>[2,1,5,3,8,7,6,4]=>[3,2,5,1,4,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>[1,8,5,7,2,3,4,6]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[1,8,5,2,7,3,4,6]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,2,6,1,3,7,8]=>[4,5,7,3,8,6,2,1]=>[1,8,5,2,3,7,4,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,4,2,5,1,3,7,8]=>[3,5,7,4,8,6,2,1]=>[1,8,2,5,3,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,2,4,1,3,7,8]=>[3,4,7,5,8,6,2,1]=>[1,8,2,3,5,7,4,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>[1,5,8,7,2,3,4,6]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[5,3,2,7,1,4,6,8]=>[4,6,7,2,8,5,3,1]=>[1,5,8,2,7,3,4,6]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,2,7,1,3,6,8]=>[4,5,7,2,8,6,3,1]=>[1,5,8,2,3,7,4,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,3,7,1,2,6,8]=>[4,5,6,2,8,7,3,1]=>[1,5,8,2,3,4,7,6]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,3,2,7,1,4,5,8]=>[3,6,7,2,8,5,4,1]=>[1,5,2,8,7,3,4,6]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,4,2,7,1,3,5,8]=>[3,5,7,2,8,6,4,1]=>[1,5,2,8,3,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,3,7,1,2,5,8]=>[3,5,6,2,8,7,4,1]=>[1,5,2,8,3,4,7,6]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[6,5,2,7,1,3,4,8]=>[3,4,7,2,8,6,5,1]=>[1,5,2,3,8,7,4,6]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,5,3,7,1,2,4,8]=>[3,4,6,2,8,7,5,1]=>[1,5,2,3,8,4,7,6]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,3,2,5,1,4,6,8]=>[2,6,7,4,8,5,3,1]=>[1,2,8,5,7,3,4,6]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,4,2,5,1,3,6,8]=>[2,5,7,4,8,6,3,1]=>[1,2,8,5,3,7,4,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[7,5,2,4,1,3,6,8]=>[2,4,7,5,8,6,3,1]=>[1,2,8,3,5,7,4,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>[1,2,5,8,7,3,4,6]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[7,4,2,6,1,3,5,8]=>[2,5,7,3,8,6,4,1]=>[1,2,5,8,3,7,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[7,4,3,6,1,2,5,8]=>[2,5,6,3,8,7,4,1]=>[1,2,5,8,3,4,7,6]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[7,5,2,6,1,3,4,8]=>[2,4,7,3,8,6,5,1]=>[1,2,5,3,8,7,4,6]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[7,5,3,6,1,2,4,8]=>[2,4,6,3,8,7,5,1]=>[1,2,5,3,8,4,7,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[7,6,2,4,1,3,5,8]=>[2,3,7,5,8,6,4,1]=>[1,2,3,8,5,7,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,6,2,5,1,3,4,8]=>[2,3,7,4,8,6,5,1]=>[1,2,3,5,8,7,4,6]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>[5,1,8,7,2,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[5,3,2,8,1,4,6,7]=>[4,6,7,1,8,5,3,2]=>[5,1,8,2,7,3,4,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,3,8,1,2,6,7]=>[4,5,6,1,8,7,3,2]=>[5,1,8,2,3,4,7,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,2,8,1,3,4,7]=>[3,4,7,1,8,6,5,2]=>[5,1,2,3,8,7,4,6]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[6,5,3,8,1,2,4,7]=>[3,4,6,1,8,7,5,2]=>[5,1,2,3,8,4,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[6,5,4,8,1,2,3,7]=>[3,4,5,1,8,7,6,2]=>[5,1,2,3,4,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[7,3,2,8,1,4,5,6]=>[2,6,7,1,8,5,4,3]=>[5,2,1,8,7,3,4,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,4,3,8,1,2,5,6]=>[2,5,6,1,8,7,4,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[7,5,3,8,1,2,4,6]=>[2,4,6,1,8,7,5,3]=>[5,2,1,3,8,4,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[7,5,4,8,1,2,3,6]=>[2,4,5,1,8,7,6,3]=>[5,2,1,3,4,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>[2,1,8,5,7,3,4,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[8,4,2,5,1,3,6,7]=>[1,5,7,4,8,6,3,2]=>[2,1,8,5,3,7,4,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>[2,1,8,3,5,7,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>[2,1,5,8,7,3,4,6]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[8,4,2,6,1,3,5,7]=>[1,5,7,3,8,6,4,2]=>[2,1,5,8,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,5,2,6,1,3,4,7]=>[1,4,7,3,8,6,5,2]=>[2,1,5,3,8,7,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[8,5,3,6,1,2,4,7]=>[1,4,6,3,8,7,5,2]=>[2,1,5,3,8,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>[2,1,3,8,5,7,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>[2,5,1,8,7,3,4,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[8,4,2,7,1,3,5,6]=>[1,5,7,2,8,6,4,3]=>[2,5,1,8,3,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,5,2,7,1,3,4,6]=>[1,4,7,2,8,6,5,3]=>[2,5,1,3,8,7,4,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[8,5,3,7,1,2,4,6]=>[1,4,6,2,8,7,5,3]=>[2,5,1,3,8,4,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>[2,3,5,1,8,7,4,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[8,7,3,6,1,2,4,5]=>[1,2,6,3,8,7,5,4]=>[2,3,5,1,8,4,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,7,4,6,1,2,3,5]=>[1,2,5,3,8,7,6,4]=>[2,3,5,1,4,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[3,6,2,5,8,1,4,7]=>[6,3,7,4,1,8,5,2]=>[6,1,3,5,8,2,4,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,6,2,5,8,1,3,7]=>[5,3,7,4,1,8,6,2]=>[6,1,3,5,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,5,8,1,4,6]=>[6,2,7,4,1,8,5,3]=>[6,3,1,5,8,2,4,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,7,2,5,8,1,3,6]=>[5,2,7,4,1,8,6,3]=>[6,3,1,5,2,8,4,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,5,8,1,2,6]=>[5,2,6,4,1,8,7,3]=>[6,3,1,5,2,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,7,3,4,8,1,2,6]=>[4,2,6,5,1,8,7,3]=>[6,3,1,2,5,4,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[3,7,2,6,8,1,4,5]=>[6,2,7,3,1,8,5,4]=>[6,3,5,1,8,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,7,2,6,8,1,3,5]=>[5,2,7,3,1,8,6,4]=>[6,3,5,1,2,8,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[4,7,3,6,8,1,2,5]=>[5,2,6,3,1,8,7,4]=>[6,3,5,1,2,4,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,7,4,6,8,1,2,3]=>[4,2,5,3,1,8,7,6]=>[6,3,5,2,4,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[6,7,2,4,8,1,3,5]=>[3,2,7,5,1,8,6,4]=>[6,3,2,1,5,8,4,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[6,7,3,5,8,1,2,4]=>[3,2,6,4,1,8,7,5]=>[6,3,2,5,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[3,8,2,5,7,1,4,6]=>[6,1,7,4,2,8,5,3]=>[3,6,1,5,8,2,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,8,3,5,7,1,2,6]=>[5,1,6,4,2,8,7,3]=>[3,6,1,5,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,8,2,4,7,1,3,6]=>[4,1,7,5,2,8,6,3]=>[3,6,1,2,5,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,8,3,6,7,1,2,5]=>[5,1,6,3,2,8,7,4]=>[3,6,5,1,2,4,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[5,8,4,6,7,1,2,3]=>[4,1,5,3,2,8,7,6]=>[3,6,5,2,4,1,8,7]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[6,8,2,4,7,1,3,5]=>[3,1,7,5,2,8,6,4]=>[3,6,2,1,5,8,4,7]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[6,8,3,4,7,1,2,5]=>[3,1,6,5,2,8,7,4]=>[3,6,2,1,5,4,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,8,3,5,7,1,2,4]=>[3,1,6,4,2,8,7,5]=>[3,6,2,5,1,4,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[7,8,2,4,6,1,3,5]=>[2,1,7,5,3,8,6,4]=>[3,2,6,1,5,8,4,7]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,8,3,4,6,1,2,5]=>[2,1,6,5,3,8,7,4]=>[3,2,6,1,5,4,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,8,2,5,6,1,3,4]=>[2,1,7,4,3,8,6,5]=>[3,2,6,5,1,8,4,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[7,8,3,5,6,1,2,4]=>[2,1,6,4,3,8,7,5]=>[3,2,6,5,1,4,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[4,3,2,6,8,1,5,7]=>[5,6,7,3,1,8,4,2]=>[6,1,5,8,2,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,2,6,8,1,4,7]=>[4,6,7,3,1,8,5,2]=>[6,1,5,2,8,3,4,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,2,6,8,1,3,7]=>[4,5,7,3,1,8,6,2]=>[6,1,5,2,3,8,4,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,2,5,8,1,4,7]=>[3,6,7,4,1,8,5,2]=>[6,1,2,5,8,3,4,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,5,8,1,3,7]=>[3,5,7,4,1,8,6,2]=>[6,1,2,5,3,8,4,7]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[6,5,2,4,8,1,3,7]=>[3,4,7,5,1,8,6,2]=>[6,1,2,3,5,8,4,7]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[4,3,2,7,8,1,5,6]=>[5,6,7,2,1,8,4,3]=>[6,5,1,8,2,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,3,2,7,8,1,4,6]=>[4,6,7,2,1,8,5,3]=>[6,5,1,2,8,3,4,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,4,2,7,8,1,3,6]=>[4,5,7,2,1,8,6,3]=>[6,5,1,2,3,8,4,7]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,4,3,7,8,1,2,6]=>[4,5,6,2,1,8,7,3]=>[6,5,1,2,3,4,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[6,4,2,7,8,1,3,5]=>[3,5,7,2,1,8,6,4]=>[6,5,2,1,3,8,4,7]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[7,4,2,5,8,1,3,6]=>[2,5,7,4,1,8,6,3]=>[6,2,1,5,3,8,4,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,4,3,5,8,1,2,6]=>[2,5,6,4,1,8,7,3]=>[6,2,1,5,3,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[7,3,2,6,8,1,4,5]=>[2,6,7,3,1,8,5,4]=>[6,2,5,1,8,3,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[7,4,3,6,8,1,2,5]=>[2,5,6,3,1,8,7,4]=>[6,2,5,1,3,4,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[7,6,3,4,8,1,2,5]=>[2,3,6,5,1,8,7,4]=>[6,2,3,1,5,4,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,6,3,5,8,1,2,4]=>[2,3,6,4,1,8,7,5]=>[6,2,3,5,1,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[8,3,2,5,7,1,4,6]=>[1,6,7,4,2,8,5,3]=>[2,6,1,5,8,3,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,4,2,5,7,1,3,6]=>[1,5,7,4,2,8,6,3]=>[2,6,1,5,3,8,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,3,5,7,1,2,6]=>[1,5,6,4,2,8,7,3]=>[2,6,1,5,3,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,5,2,4,7,1,3,6]=>[1,4,7,5,2,8,6,3]=>[2,6,1,3,5,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,5,3,4,7,1,2,6]=>[1,4,6,5,2,8,7,3]=>[2,6,1,3,5,4,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,4,2,6,7,1,3,5]=>[1,5,7,3,2,8,6,4]=>[2,6,5,1,3,8,4,7]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[8,4,3,6,7,1,2,5]=>[1,5,6,3,2,8,7,4]=>[2,6,5,1,3,4,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[8,5,3,6,7,1,2,4]=>[1,4,6,3,2,8,7,5]=>[2,6,5,3,1,4,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[8,6,3,5,7,1,2,4]=>[1,3,6,4,2,8,7,5]=>[2,6,3,5,1,4,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,7,2,4,6,1,3,5]=>[1,2,7,5,3,8,6,4]=>[2,3,6,1,5,8,4,7]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,7,3,4,6,1,2,5]=>[1,2,6,5,3,8,7,4]=>[2,3,6,1,5,4,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,7,2,5,6,1,3,4]=>[1,2,7,4,3,8,6,5]=>[2,3,6,5,1,8,4,7]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[8,7,3,5,6,1,2,4]=>[1,2,6,4,3,8,7,5]=>[2,3,6,5,1,4,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[1,4,6,8,2,3,5,7]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,3,7,2,6,1,4,8]=>[4,6,2,7,3,8,5,1]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,7,2,6,1,3,8]=>[4,5,2,7,3,8,6,1]=>[1,4,6,2,3,8,5,7]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,7,3,6,1,2,8]=>[4,5,2,6,3,8,7,1]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,3,7,2,5,1,4,8]=>[3,6,2,7,4,8,5,1]=>[1,4,2,6,8,3,5,7]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[1,4,2,6,3,8,5,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,7,3,5,1,2,8]=>[3,5,2,6,4,8,7,1]=>[1,4,2,6,3,5,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[7,3,6,2,5,1,4,8]=>[2,6,3,7,4,8,5,1]=>[1,2,4,6,8,3,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,6,2,5,1,3,8]=>[2,5,3,7,4,8,6,1]=>[1,2,4,6,3,8,5,7]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[7,4,6,3,5,1,2,8]=>[2,5,3,6,4,8,7,1]=>[1,2,4,6,3,5,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[4,1,6,8,2,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,8,2,6,1,4,7]=>[4,6,1,7,3,8,5,2]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,8,2,6,1,3,7]=>[4,5,1,7,3,8,6,2]=>[4,1,6,2,3,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,8,3,6,1,2,7]=>[4,5,1,6,3,8,7,2]=>[4,1,6,2,3,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,4,8,2,5,1,3,7]=>[3,5,1,7,4,8,6,2]=>[4,1,2,6,3,8,5,7]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,8,3,5,1,2,7]=>[3,5,1,6,4,8,7,2]=>[4,1,2,6,3,5,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,8,2,4,1,3,7]=>[3,4,1,7,5,8,6,2]=>[4,1,2,3,6,8,5,7]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[6,5,8,3,4,1,2,7]=>[3,4,1,6,5,8,7,2]=>[4,1,2,3,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[4,6,1,8,2,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,3,8,2,7,1,4,6]=>[4,6,1,7,2,8,5,3]=>[4,6,1,2,8,3,5,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,4,8,2,7,1,3,6]=>[4,5,1,7,2,8,6,3]=>[4,6,1,2,3,8,5,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,4,8,3,7,1,2,6]=>[4,5,1,6,2,8,7,3]=>[4,6,1,2,3,5,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,4,8,2,7,1,3,5]=>[3,5,1,7,2,8,6,4]=>[4,6,2,1,3,8,5,7]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[6,4,8,3,7,1,2,5]=>[3,5,1,6,2,8,7,4]=>[4,6,2,1,3,5,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[6,5,8,3,7,1,2,4]=>[3,4,1,6,2,8,7,5]=>[4,6,2,3,1,5,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[7,3,8,2,5,1,4,6]=>[2,6,1,7,4,8,5,3]=>[4,2,1,6,8,3,5,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[7,4,8,2,5,1,3,6]=>[2,5,1,7,4,8,6,3]=>[4,2,1,6,3,8,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,4,8,3,5,1,2,6]=>[2,5,1,6,4,8,7,3]=>[4,2,1,6,3,5,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[7,5,8,2,4,1,3,6]=>[2,4,1,7,5,8,6,3]=>[4,2,1,3,6,8,5,7]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[7,5,8,3,4,1,2,6]=>[2,4,1,6,5,8,7,3]=>[4,2,1,3,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[7,5,8,2,6,1,3,4]=>[2,4,1,7,3,8,6,5]=>[4,2,6,3,1,8,5,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[7,5,8,3,6,1,2,4]=>[2,4,1,6,3,8,7,5]=>[4,2,6,3,1,5,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[7,5,8,4,6,1,2,3]=>[2,4,1,5,3,8,7,6]=>[4,2,6,3,5,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[7,6,8,3,5,1,2,4]=>[2,3,1,6,4,8,7,5]=>[4,2,3,6,1,5,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[2,1,4,6,8,3,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,4,6,2,5,1,3,7]=>[1,5,3,7,4,8,6,2]=>[2,1,4,6,3,8,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[8,5,6,2,4,1,3,7]=>[1,4,3,7,5,8,6,2]=>[2,1,4,3,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,3,7,2,5,1,4,6]=>[1,6,2,7,4,8,5,3]=>[2,4,1,6,8,3,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,4,7,2,5,1,3,6]=>[1,5,2,7,4,8,6,3]=>[2,4,1,6,3,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,7,3,5,1,2,6]=>[1,5,2,6,4,8,7,3]=>[2,4,1,6,3,5,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,5,7,2,4,1,3,6]=>[1,4,2,7,5,8,6,3]=>[2,4,1,3,6,8,5,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,5,7,3,4,1,2,6]=>[1,4,2,6,5,8,7,3]=>[2,4,1,3,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[2,4,6,1,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[8,4,7,2,6,1,3,5]=>[1,5,2,7,3,8,6,4]=>[2,4,6,1,3,8,5,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[8,4,7,3,6,1,2,5]=>[1,5,2,6,3,8,7,4]=>[2,4,6,1,3,5,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,5,7,2,6,1,3,4]=>[1,4,2,7,3,8,6,5]=>[2,4,6,3,1,8,5,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[8,6,7,2,4,1,3,5]=>[1,3,2,7,5,8,6,4]=>[2,4,3,1,6,8,5,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[8,6,7,3,5,1,2,4]=>[1,3,2,6,4,8,7,5]=>[2,4,3,6,1,5,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[1,6,2,8,3,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,3,2,7,1,4,8]=>[3,4,6,7,2,8,5,1]=>[1,6,2,3,8,4,5,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,4,2,7,1,3,8]=>[3,4,5,7,2,8,6,1]=>[1,6,2,3,4,8,5,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,3,2,6,1,5,8]=>[2,5,6,7,3,8,4,1]=>[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,3,2,6,1,4,8]=>[2,4,6,7,3,8,5,1]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,4,2,6,1,3,8]=>[2,4,5,7,3,8,6,1]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[7,6,3,2,5,1,4,8]=>[2,3,6,7,4,8,5,1]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,6,4,2,5,1,3,8]=>[2,3,5,7,4,8,6,1]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,6,5,2,4,1,3,8]=>[2,3,4,7,5,8,6,1]=>[1,2,3,4,6,8,5,7]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,3,2,8,1,4,7]=>[3,4,6,7,1,8,5,2]=>[6,1,2,3,8,4,5,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,4,2,8,1,3,7]=>[3,4,5,7,1,8,6,2]=>[6,1,2,3,4,8,5,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,4,3,8,1,2,7]=>[3,4,5,6,1,8,7,2]=>[6,1,2,3,4,5,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,5,3,2,8,1,4,6]=>[2,4,6,7,1,8,5,3]=>[6,2,1,3,8,4,5,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,6,5,2,8,1,3,4]=>[2,3,4,7,1,8,6,5]=>[6,2,3,4,1,8,5,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[8,4,3,2,6,1,5,7]=>[1,5,6,7,3,8,4,2]=>[2,1,6,8,3,4,5,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,5,3,2,6,1,4,7]=>[1,4,6,7,3,8,5,2]=>[2,1,6,3,8,4,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,4,2,6,1,3,7]=>[1,4,5,7,3,8,6,2]=>[2,1,6,3,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,6,4,2,5,1,3,7]=>[1,3,5,7,4,8,6,2]=>[2,1,3,6,4,8,5,7]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[8,4,3,2,7,1,5,6]=>[1,5,6,7,2,8,4,3]=>[2,6,1,8,3,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,5,3,2,7,1,4,6]=>[1,4,6,7,2,8,5,3]=>[2,6,1,3,8,4,5,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,5,4,2,7,1,3,6]=>[1,4,5,7,2,8,6,3]=>[2,6,1,3,4,8,5,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[8,5,4,3,7,1,2,6]=>[1,4,5,6,2,8,7,3]=>[2,6,1,3,4,5,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,6,3,2,7,1,4,5]=>[1,3,6,7,2,8,5,4]=>[2,6,3,1,8,4,5,7]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[8,6,4,2,7,1,3,5]=>[1,3,5,7,2,8,6,4]=>[2,6,3,1,4,8,5,7]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[8,6,4,3,7,1,2,5]=>[1,3,5,6,2,8,7,4]=>[2,6,3,1,4,5,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[8,7,3,2,5,1,4,6]=>[1,2,6,7,4,8,5,3]=>[2,3,1,6,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,7,4,2,5,1,3,6]=>[1,2,5,7,4,8,6,3]=>[2,3,1,6,4,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>[2,3,6,1,8,4,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[8,7,4,2,6,1,3,5]=>[1,2,5,7,3,8,6,4]=>[2,3,6,1,4,8,5,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[8,7,4,3,6,1,2,5]=>[1,2,5,6,3,8,7,4]=>[2,3,6,1,4,5,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,7,5,3,6,1,2,4]=>[1,2,4,6,3,8,7,5]=>[2,3,6,4,1,5,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>[2,3,4,1,6,8,5,7]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>[2,3,4,6,1,8,5,7]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[3,5,7,1,2,4,6,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[3,5,7,2,1,4,6,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]=>[3,5,7,2,4,1,6,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]=>[3,5,7,2,4,6,1,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]=>[3,5,2,7,1,4,6,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[3,5,2,7,4,1,6,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]=>[3,5,2,7,4,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[3,5,2,4,7,1,6,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]=>[3,5,2,4,7,6,1,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]=>[3,2,5,7,1,4,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]=>[3,2,5,7,4,1,6,8]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[3,2,5,7,4,6,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]=>[3,2,5,4,7,1,6,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>[5,7,1,2,3,4,6,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,8,2,7,1,3]=>[3,4,5,1,7,2,8,6]=>[5,7,2,3,4,1,6,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[5,2,7,3,1,4,6,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[7,5,4,8,3,6,1,2]=>[2,4,5,1,6,3,8,7]=>[5,2,7,3,4,6,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[7,6,4,8,2,5,1,3]=>[2,3,5,1,7,4,8,6]=>[5,2,3,7,4,1,6,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[7,6,5,8,2,4,1,3]=>[2,3,4,1,7,5,8,6]=>[5,2,3,4,7,1,6,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[8,5,3,7,2,6,1,4]=>[1,4,6,2,7,3,8,5]=>[2,5,7,3,1,4,6,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[8,5,4,7,2,6,1,3]=>[1,4,5,2,7,3,8,6]=>[2,5,7,3,4,1,6,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[2,3,5,7,1,4,6,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,5,4,3,2,8,1,7]=>[3,4,5,6,7,1,8,2]=>[7,1,2,3,4,5,6,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,8,1,5]=>[2,3,5,6,7,1,8,4]=>[7,2,3,1,4,5,6,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,5,3,2,8,1,4]=>[2,3,4,6,7,1,8,5]=>[7,2,3,4,1,5,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,5,4,2,8,1,3]=>[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,1,6,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[2,7,1,3,4,5,6,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,7,4,3,2,6,1,5]=>[1,2,5,6,7,3,8,4]=>[2,3,7,1,4,5,6,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>[2,3,4,7,1,5,6,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]=>[2,3,4,7,5,1,6,8]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[2,3,4,5,7,1,6,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[8,1,2,3,4,7,5,6]=>[1,8,7,6,5,2,4,3]=>[2,7,1,8,6,5,4,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[8,1,2,3,6,4,5,7]=>[1,8,7,6,3,5,4,2]=>[2,1,6,8,7,5,4,3]=>[[.,.],[[[[.,[[.,.],.]],.],.],.]]
[5,1,2,3,8,7,4,6]=>[4,8,7,6,1,2,5,3]=>[6,7,1,2,8,5,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[8,1,2,3,6,7,4,5]=>[1,8,7,6,3,2,5,4]=>[2,7,6,1,8,5,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[8,1,2,5,3,4,6,7]=>[1,8,7,4,6,5,3,2]=>[2,1,8,5,7,6,4,3]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[8,1,2,6,3,4,5,7]=>[1,8,7,3,6,5,4,2]=>[2,1,5,8,7,6,4,3]=>[[.,.],[[[.,[[[.,.],.],.]],.],.]]
[7,1,2,6,3,4,8,5]=>[2,8,7,3,6,5,1,4]=>[8,2,5,1,7,6,4,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[8,1,2,5,3,7,4,6]=>[1,8,7,4,6,2,5,3]=>[2,7,1,5,8,6,4,3]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[6,1,2,5,3,7,8,4]=>[3,8,7,4,6,2,1,5]=>[8,7,2,5,1,6,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,1,2,8,6,3,5,7]=>[5,8,7,1,3,6,4,2]=>[5,1,6,8,2,7,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,1,2,8,7,3,5,6]=>[5,8,7,1,2,6,4,3]=>[5,6,1,8,2,7,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,1,2,7,6,3,8,5]=>[5,8,7,2,3,6,1,4]=>[8,5,6,1,2,7,4,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[8,1,2,5,6,3,4,7]=>[1,8,7,4,3,6,5,2]=>[2,1,6,5,8,7,4,3]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[2,5,6,1,8,7,4,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[7,1,2,5,6,3,8,4]=>[2,8,7,4,3,6,1,5]=>[8,2,6,5,1,7,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,1,2,5,8,7,3,6]=>[5,8,7,4,1,2,6,3]=>[6,7,1,5,2,8,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,1,2,5,6,7,3,4]=>[1,8,7,4,3,2,6,5]=>[2,7,6,5,1,8,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[3,1,8,2,4,7,5,6]=>[6,8,1,7,5,2,4,3]=>[4,7,1,8,6,2,5,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,8,2,7,4,5,6]=>[6,8,1,7,2,5,4,3]=>[4,6,1,8,7,2,5,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,7,2,6,4,8,5]=>[6,8,2,7,3,5,1,4]=>[8,4,6,1,7,2,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,1,4,2,3,8,5,7]=>[3,8,5,7,6,1,4,2]=>[7,1,2,8,4,6,5,3]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[8,1,5,2,3,4,6,7]=>[1,8,4,7,6,5,3,2]=>[2,1,8,4,7,6,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[2,4,1,8,7,6,5,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[6,1,5,2,3,8,4,7]=>[3,8,4,7,6,1,5,2]=>[7,1,2,4,8,6,5,3]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]
[8,1,5,2,3,7,4,6]=>[1,8,4,7,6,2,5,3]=>[2,7,1,4,8,6,5,3]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[6,1,8,2,3,7,4,5]=>[3,8,1,7,6,2,5,4]=>[4,7,2,1,8,6,5,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[6,1,5,2,3,7,8,4]=>[3,8,4,7,6,2,1,5]=>[8,7,2,4,1,6,5,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[8,1,4,2,7,3,5,6]=>[1,8,5,7,2,6,4,3]=>[2,6,1,8,4,7,5,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[7,1,4,2,6,3,8,5]=>[2,8,5,7,3,6,1,4]=>[8,2,6,1,4,7,5,3]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[8,1,5,2,6,3,4,7]=>[1,8,4,7,3,6,5,2]=>[2,1,6,4,8,7,5,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[8,1,5,2,7,3,4,6]=>[1,8,4,7,2,6,5,3]=>[2,6,1,4,8,7,5,3]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[5,1,4,2,8,7,3,6]=>[4,8,5,7,1,2,6,3]=>[6,7,1,2,4,8,5,3]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[8,1,4,2,6,7,3,5]=>[1,8,5,7,3,2,6,4]=>[2,7,6,1,4,8,5,3]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[8,1,5,2,6,7,3,4]=>[1,8,4,7,3,2,6,5]=>[2,7,6,4,1,8,5,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[3,1,4,8,2,7,5,6]=>[6,8,5,1,7,2,4,3]=>[5,7,1,8,4,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,8,5,2,4,6,7]=>[6,8,1,4,7,5,3,2]=>[4,1,8,5,7,2,6,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,7,5,2,4,8,6]=>[6,8,2,4,7,5,1,3]=>[8,4,1,5,7,2,6,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,1,7,6,2,4,8,5]=>[6,8,2,3,7,5,1,4]=>[8,4,5,1,7,2,6,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,1,8,5,2,7,4,6]=>[6,8,1,4,7,2,5,3]=>[4,7,1,5,8,2,6,3]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,1,4,5,2,3,6,7]=>[1,8,5,4,7,6,3,2]=>[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[8,1,4,6,2,3,5,7]=>[1,8,5,3,7,6,4,2]=>[2,1,5,8,4,7,6,3]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[8,1,6,5,2,3,4,7]=>[1,8,3,4,7,6,5,2]=>[2,1,4,5,8,7,6,3]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]
[7,1,8,5,2,3,4,6]=>[2,8,1,4,7,6,5,3]=>[4,2,1,5,8,7,6,3]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[4,2,5,1,8,7,6,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[8,1,4,5,2,7,3,6]=>[1,8,5,4,7,2,6,3]=>[2,7,1,5,4,8,6,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[3,1,4,8,6,2,5,7]=>[6,8,5,1,3,7,4,2]=>[5,1,6,8,4,2,7,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,1,8,5,6,2,4,7]=>[6,8,1,4,3,7,5,2]=>[4,1,6,5,8,2,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,1,7,5,6,2,8,4]=>[6,8,2,4,3,7,1,5]=>[8,4,6,5,1,2,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[8,1,4,5,6,2,3,7]=>[1,8,5,4,3,7,6,2]=>[2,1,6,5,4,8,7,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[8,1,4,5,7,2,3,6]=>[1,8,5,4,2,7,6,3]=>[2,6,1,5,4,8,7,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[3,1,4,8,6,7,2,5]=>[6,8,5,1,3,2,7,4]=>[5,7,6,1,4,2,8,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,1,8,5,6,7,2,4]=>[6,8,1,4,3,2,7,5]=>[4,7,6,5,1,2,8,3]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,8,1,3,4,7,5,6]=>[7,1,8,6,5,2,4,3]=>[3,7,1,8,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,8,1,3,6,4,5,7]=>[7,1,8,6,3,5,4,2]=>[3,1,6,8,7,5,2,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,8,1,3,7,4,5,6]=>[7,1,8,6,2,5,4,3]=>[3,6,1,8,7,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,6,4,8,5]=>[7,2,8,6,3,5,1,4]=>[8,3,6,1,7,5,2,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,5,1,3,8,7,4,6]=>[7,4,8,6,1,2,5,3]=>[6,7,1,3,8,5,2,4]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,8,1,3,6,7,4,5]=>[7,1,8,6,3,2,5,4]=>[3,7,6,1,8,5,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,4,1,8,3,7,5,6]=>[7,5,8,1,6,2,4,3]=>[5,7,1,8,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,8,1,5,3,4,6,7]=>[7,1,8,4,6,5,3,2]=>[3,1,8,5,7,6,2,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,7,1,5,3,4,8,6]=>[7,2,8,4,6,5,1,3]=>[8,3,1,5,7,6,2,4]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,8,1,6,3,4,5,7]=>[7,1,8,3,6,5,4,2]=>[3,1,5,8,7,6,2,4]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[2,6,1,5,3,8,4,7]=>[7,3,8,4,6,1,5,2]=>[7,1,3,5,8,6,2,4]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,8,1,6,3,7,4,5]=>[7,1,8,3,6,2,5,4]=>[3,7,5,1,8,6,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,6,1,5,3,7,8,4]=>[7,3,8,4,6,2,1,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,4,1,8,6,3,5,7]=>[7,5,8,1,3,6,4,2]=>[5,1,6,8,3,7,2,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,1,8,7,3,5,6]=>[7,5,8,1,2,6,4,3]=>[5,6,1,8,3,7,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,8,1,5,6,3,4,7]=>[7,1,8,4,3,6,5,2]=>[3,1,6,5,8,7,2,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,8,1,7,6,3,4,5]=>[7,1,8,2,3,6,5,4]=>[3,5,6,1,8,7,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,7,1,5,6,3,8,4]=>[7,2,8,4,3,6,1,5]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,4,1,5,8,7,3,6]=>[7,5,8,4,1,2,6,3]=>[6,7,1,5,3,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,4,1,8,6,7,3,5]=>[7,5,8,1,3,2,6,4]=>[5,7,6,1,3,8,2,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[7,3,1,2,4,5,8,6]=>[2,6,8,7,5,4,1,3]=>[8,2,1,7,6,3,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[8,3,1,2,4,7,5,6]=>[1,6,8,7,5,2,4,3]=>[2,7,1,8,6,3,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,1,2,8,4,6,7]=>[4,6,8,7,1,5,3,2]=>[6,1,8,2,7,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,3,1,2,6,4,5,7]=>[1,6,8,7,3,5,4,2]=>[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[7,3,1,2,6,4,8,5]=>[2,6,8,7,3,5,1,4]=>[8,2,6,1,7,3,5,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,3,1,2,6,8,4,7]=>[4,6,8,7,3,1,5,2]=>[7,1,6,2,8,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,4,1,2,3,8,5,7]=>[3,5,8,7,6,1,4,2]=>[7,1,2,8,3,6,5,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>[8,2,3,1,7,6,5,4]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[5,8,1,2,3,7,4,6]=>[4,1,8,7,6,2,5,3]=>[3,7,1,2,8,6,5,4]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[5,4,1,2,8,3,6,7]=>[4,5,8,7,1,6,3,2]=>[6,1,8,2,3,7,5,4]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[8,4,1,2,6,3,5,7]=>[1,5,8,7,3,6,4,2]=>[2,1,6,8,3,7,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[8,4,1,2,7,3,5,6]=>[1,5,8,7,2,6,4,3]=>[2,6,1,8,3,7,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[5,8,1,2,6,3,4,7]=>[4,1,8,7,3,6,5,2]=>[3,1,6,2,8,7,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>[2,3,6,1,8,7,5,4]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[5,7,1,2,6,3,8,4]=>[4,2,8,7,3,6,1,5]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[5,4,1,2,6,8,3,7]=>[4,5,8,7,3,1,6,2]=>[7,1,6,2,3,8,5,4]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[8,4,1,2,6,7,3,5]=>[1,5,8,7,3,2,6,4]=>[2,7,6,1,3,8,5,4]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[5,8,1,2,6,7,3,4]=>[4,1,8,7,3,2,6,5]=>[3,7,6,2,1,8,5,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[4,3,1,8,2,5,6,7]=>[5,6,8,1,7,4,3,2]=>[5,1,8,7,2,3,6,4]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,3,1,6,2,8,5,7]=>[5,6,8,3,7,1,4,2]=>[7,1,5,8,2,3,6,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[8,3,1,5,2,4,6,7]=>[1,6,8,4,7,5,3,2]=>[2,1,8,5,7,3,6,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[8,3,1,6,2,4,5,7]=>[1,6,8,3,7,5,4,2]=>[2,1,5,8,7,3,6,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[7,3,1,8,2,4,5,6]=>[2,6,8,1,7,5,4,3]=>[5,2,1,8,7,3,6,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[6,3,1,5,2,8,4,7]=>[3,6,8,4,7,1,5,2]=>[7,1,2,5,8,3,6,4]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[8,3,1,5,2,7,4,6]=>[1,6,8,4,7,2,5,3]=>[2,7,1,5,8,3,6,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,3,1,6,2,7,4,5]=>[1,6,8,3,7,2,5,4]=>[2,7,5,1,8,3,6,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,3,1,5,2,7,8,4]=>[3,6,8,4,7,2,1,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[8,4,1,5,2,3,6,7]=>[1,5,8,4,7,6,3,2]=>[2,1,8,5,3,7,6,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[7,4,1,5,2,3,8,6]=>[2,5,8,4,7,6,1,3]=>[8,2,1,5,3,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[8,4,1,6,2,3,5,7]=>[1,5,8,3,7,6,4,2]=>[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[7,4,1,6,2,3,8,5]=>[2,5,8,3,7,6,1,4]=>[8,2,5,1,3,7,6,4]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,7,1,5,2,3,8,4]=>[3,2,8,4,7,6,1,5]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[8,4,1,5,2,7,3,6]=>[1,5,8,4,7,2,6,3]=>[2,7,1,5,3,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,4,1,6,2,7,3,5]=>[1,5,8,3,7,2,6,4]=>[2,7,5,1,3,8,6,4]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[6,8,1,5,2,7,3,4]=>[3,1,8,4,7,2,6,5]=>[3,7,2,5,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[4,3,1,8,7,2,5,6]=>[5,6,8,1,2,7,4,3]=>[5,6,1,8,2,3,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[8,3,1,5,6,2,4,7]=>[1,6,8,4,3,7,5,2]=>[2,1,6,5,8,3,7,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[8,3,1,7,6,2,4,5]=>[1,6,8,2,3,7,5,4]=>[2,5,6,1,8,3,7,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,3,1,5,6,2,8,4]=>[2,6,8,4,3,7,1,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[8,4,1,5,6,2,3,7]=>[1,5,8,4,3,7,6,2]=>[2,1,6,5,3,8,7,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[8,4,1,7,6,2,3,5]=>[1,5,8,2,3,7,6,4]=>[2,5,6,1,3,8,7,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[7,8,1,5,6,2,3,4]=>[2,1,8,4,3,7,6,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,4,1,5,6,2,8,3]=>[2,5,8,4,3,7,1,6]=>[8,2,6,5,3,1,7,4]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[4,3,1,5,6,8,2,7]=>[5,6,8,4,3,1,7,2]=>[7,1,6,5,2,3,8,4]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,3,1,5,8,7,2,6]=>[5,6,8,4,1,2,7,3]=>[6,7,1,5,2,3,8,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,3,1,8,6,7,2,5]=>[5,6,8,1,3,2,7,4]=>[5,7,6,1,2,3,8,4]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[8,3,1,5,6,7,2,4]=>[1,6,8,4,3,2,7,5]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[4,3,1,5,6,7,8,2]=>[5,6,8,4,3,2,1,7]=>[8,7,6,5,2,3,1,4]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[2,3,8,1,7,4,5,6]=>[7,6,1,8,2,5,4,3]=>[4,6,1,8,7,3,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,7,1,6,4,8,5]=>[7,6,2,8,3,5,1,4]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,5,1,8,7,4,6]=>[7,6,4,8,1,2,5,3]=>[6,7,1,4,8,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,8,1,6,7,4,5]=>[7,6,1,8,3,2,5,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,7,4,1,3,5,8,6]=>[7,2,5,8,6,4,1,3]=>[8,3,1,7,4,6,2,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,6,4,1,3,8,5,7]=>[7,3,5,8,6,1,4,2]=>[7,1,3,8,4,6,2,5]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,4,1,3,7,5,6]=>[7,1,5,8,6,2,4,3]=>[3,7,1,8,4,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,6,4,1,3,7,8,5]=>[7,3,5,8,6,2,1,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,7,5,1,3,4,8,6]=>[7,2,4,8,6,5,1,3]=>[8,3,1,4,7,6,2,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,8,7,1,3,4,5,6]=>[7,1,2,8,6,5,4,3]=>[3,4,1,8,7,6,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,6,8,1,3,7,4,5]=>[7,3,1,8,6,2,5,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,5,4,1,8,3,6,7]=>[7,4,5,8,1,6,3,2]=>[6,1,8,3,4,7,2,5]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,4,1,6,3,8,5]=>[7,2,5,8,3,6,1,4]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,8,5,1,7,3,4,6]=>[7,1,4,8,2,6,5,3]=>[3,6,1,4,8,7,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,7,8,1,6,3,4,5]=>[7,2,1,8,3,6,5,4]=>[4,3,6,1,8,7,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,7,5,1,6,3,8,4]=>[7,2,4,8,3,6,1,5]=>[8,3,6,4,1,7,2,5]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,5,4,1,6,8,3,7]=>[7,4,5,8,3,1,6,2]=>[7,1,6,3,4,8,2,5]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,1,8,7,3,6]=>[7,4,5,8,1,2,6,3]=>[6,7,1,3,4,8,2,5]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,8,4,1,6,7,3,5]=>[7,1,5,8,3,2,6,4]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,5,4,1,6,7,8,3]=>[7,4,5,8,3,2,1,6]=>[8,7,6,3,4,1,2,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[7,3,4,1,2,5,8,6]=>[2,6,5,8,7,4,1,3]=>[8,2,1,7,4,3,6,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[6,3,4,1,2,8,5,7]=>[3,6,5,8,7,1,4,2]=>[7,1,2,8,4,3,6,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[6,3,4,1,2,7,8,5]=>[3,6,5,8,7,2,1,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,3,5,1,2,4,8,6]=>[2,6,4,8,7,5,1,3]=>[8,2,1,4,7,3,6,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[6,3,7,1,2,4,8,5]=>[3,6,2,8,7,5,1,4]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[8,3,5,1,2,7,4,6]=>[1,6,4,8,7,2,5,3]=>[2,7,1,4,8,3,6,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>[4,7,2,1,8,3,6,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,3,5,1,2,7,8,4]=>[3,6,4,8,7,2,1,5]=>[8,7,2,4,1,3,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,7,4,1,2,3,8,5]=>[3,2,5,8,7,6,1,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[6,8,5,1,2,3,4,7]=>[3,1,4,8,7,6,5,2]=>[3,1,2,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[6,7,5,1,2,3,8,4]=>[3,2,4,8,7,6,1,5]=>[8,3,2,4,1,7,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>[2,7,1,3,4,8,6,5]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[6,8,4,1,2,7,3,5]=>[3,1,5,8,7,2,6,4]=>[3,7,2,1,4,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[6,5,4,1,2,7,8,3]=>[3,4,5,8,7,2,1,6]=>[8,7,2,3,4,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[5,3,4,1,8,2,6,7]=>[4,6,5,8,1,7,3,2]=>[6,1,8,2,4,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,1,7,2,8,6]=>[4,6,5,8,2,7,1,3]=>[8,6,1,2,4,3,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[8,3,4,1,7,2,5,6]=>[1,6,5,8,2,7,4,3]=>[2,6,1,8,4,3,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,3,4,1,6,2,8,5]=>[2,6,5,8,3,7,1,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,3,5,1,6,2,4,7]=>[1,6,4,8,3,7,5,2]=>[2,1,6,4,8,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,3,8,1,6,2,4,5]=>[2,6,1,8,3,7,5,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,3,5,1,6,2,8,4]=>[2,6,4,8,3,7,1,5]=>[8,2,6,4,1,3,7,5]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[8,5,4,1,6,2,3,7]=>[1,4,5,8,3,7,6,2]=>[2,1,6,3,4,8,7,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[7,8,5,1,6,2,3,4]=>[2,1,4,8,3,7,6,5]=>[3,2,6,4,1,8,7,5]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,5,4,1,6,2,8,3]=>[2,4,5,8,3,7,1,6]=>[8,2,6,3,4,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,3,4,1,6,8,2,7]=>[4,6,5,8,3,1,7,2]=>[7,1,6,2,4,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,3,4,1,6,7,2,5]=>[1,6,5,8,3,2,7,4]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[8,3,5,1,6,7,2,4]=>[1,6,4,8,3,2,7,5]=>[2,7,6,4,1,3,8,5]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[8,5,4,1,6,7,2,3]=>[1,4,5,8,3,2,7,6]=>[2,7,6,3,4,1,8,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[5,3,4,1,6,7,8,2]=>[4,6,5,8,3,2,1,7]=>[8,7,6,2,4,3,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,3,4,8,1,7,5,6]=>[7,6,5,1,8,2,4,3]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,7,5,1,4,8,6]=>[7,6,2,4,8,5,1,3]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,8,6,1,4,5,7]=>[7,6,1,3,8,5,4,2]=>[4,1,5,8,7,3,2,6]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[2,3,8,5,1,7,4,6]=>[7,6,1,4,8,2,5,3]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,6,5,1,7,8,4]=>[7,6,3,4,8,2,1,5]=>[8,7,4,5,1,3,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,8,4,5,1,3,6,7]=>[7,1,5,4,8,6,3,2]=>[3,1,8,5,4,7,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,7,4,5,1,3,8,6]=>[7,2,5,4,8,6,1,3]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,8,1,3,5,6]=>[7,2,5,1,8,6,4,3]=>[5,3,1,8,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,6,1,3,8,5]=>[7,2,5,3,8,6,1,4]=>[8,3,5,1,4,7,2,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,8,6,5,1,3,4,7]=>[7,1,3,4,8,6,5,2]=>[3,1,4,5,8,7,2,6]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,7,8,5,1,3,4,6]=>[7,2,1,4,8,6,5,3]=>[4,3,1,5,8,7,2,6]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,7,8,6,1,3,4,5]=>[7,2,1,3,8,6,5,4]=>[4,3,5,1,8,7,2,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,7,6,5,1,3,8,4]=>[7,2,3,4,8,6,1,5]=>[8,3,4,5,1,7,2,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,6,4,5,1,8,3,7]=>[7,3,5,4,8,1,6,2]=>[7,1,3,5,4,8,2,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,4,5,1,7,3,6]=>[7,1,5,4,8,2,6,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,8,4,6,1,7,3,5]=>[7,1,5,3,8,2,6,4]=>[3,7,5,1,4,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[7,3,4,6,1,2,8,5]=>[2,6,5,3,8,7,1,4]=>[8,2,5,1,4,3,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,3,6,5,1,2,4,7]=>[1,6,3,4,8,7,5,2]=>[2,1,4,5,8,3,7,6]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,8,5,1,2,4,6]=>[2,6,1,4,8,7,5,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[7,3,6,5,1,2,8,4]=>[2,6,3,4,8,7,1,5]=>[8,2,4,5,1,3,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[8,3,4,5,1,7,2,6]=>[1,6,5,4,8,2,7,3]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,3,6,5,1,7,2,4]=>[1,6,3,4,8,2,7,5]=>[2,7,4,5,1,3,8,6]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[6,3,4,5,1,7,8,2]=>[3,6,5,4,8,2,1,7]=>[8,7,2,5,4,3,1,6]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,3,4,8,6,1,5,7]=>[7,6,5,1,3,8,4,2]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,3,4,8,7,1,5,6]=>[7,6,5,1,2,8,4,3]=>[5,6,1,8,4,3,2,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,4,7,6,1,8,5]=>[7,6,5,2,3,8,1,4]=>[8,5,6,1,4,3,2,7]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,8,5,6,1,4,7]=>[7,6,1,4,3,8,5,2]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,7,5,6,1,8,4]=>[7,6,2,4,3,8,1,5]=>[8,4,6,5,1,3,2,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,8,4,5,6,1,3,7]=>[7,1,5,4,3,8,6,2]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,8,4,5,7,1,3,6]=>[7,1,5,4,2,8,6,3]=>[3,6,1,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,8,4,7,6,1,3,5]=>[7,1,5,2,3,8,6,4]=>[3,5,6,1,4,8,2,7]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,7,5,6,1,3,4]=>[7,1,2,4,3,8,6,5]=>[3,4,6,5,1,8,2,7]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[2,7,4,5,6,1,8,3]=>[7,2,5,4,3,8,1,6]=>[8,3,6,5,4,1,2,7]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[8,3,4,5,7,1,2,6]=>[1,6,5,4,2,8,7,3]=>[2,6,1,5,4,3,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,3,4,5,6,1,8,2]=>[2,6,5,4,3,8,1,7]=>[8,2,6,5,4,3,1,7]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[2,3,4,5,8,7,1,6]=>[7,6,5,4,1,2,8,3]=>[6,7,1,5,4,3,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,4,8,6,7,1,5]=>[7,6,5,1,3,2,8,4]=>[5,7,6,1,4,3,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[2,1,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[8,1,2,3,4,5,6,9,7]=>[2,9,8,7,6,5,4,1,3]=>[9,2,1,8,7,6,5,4,3]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[9,1,2,5,3,4,6,7,8]=>[1,9,8,5,7,6,4,3,2]=>[2,1,9,8,5,7,6,4,3]=>[[.,.],[[[[[.,.],.],[[.,.],.]],.],.]]
[3,1,4,5,6,7,8,9,2]=>[7,9,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,2,1,3]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[2,4,1,6,3,8,5,9,7]=>[8,6,9,4,7,2,5,1,3]=>[9,7,1,5,8,3,6,2,4]=>[[[.,.],.],[[[.,[.,.]],[.,.]],[.,.]]]
[9,3,1,2,4,5,6,7,8]=>[1,7,9,8,6,5,4,3,2]=>[2,1,9,8,7,6,3,5,4]=>[[.,.],[[[[[.,.],.],.],.],[[.,.],.]]]
[8,9,1,2,3,4,5,6,7]=>[2,1,9,8,7,6,5,4,3]=>[3,2,1,9,8,7,6,5,4]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[9,3,4,5,6,7,8,1,2]=>[1,7,6,5,4,3,2,9,8]=>[2,8,7,6,5,4,3,1,9]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]
[2,3,4,5,6,7,8,9,1]=>[8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[]=>[]=>[]=>.
[3,5,2,6,1,4,8,7]=>[6,4,7,3,8,5,1,2]=>[8,1,5,3,7,2,4,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,6,4,1,8,7]=>[6,4,7,3,5,8,1,2]=>[8,1,5,3,6,2,4,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,7,4,8,1,6]=>[6,4,7,2,5,1,8,3]=>[7,5,1,3,6,2,4,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,7,4,8,6,1]=>[6,4,7,2,5,1,3,8]=>[7,5,8,3,6,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[4,5,7,2,3,8,6,1]=>[5,4,2,7,6,1,3,8]=>[7,4,8,3,2,6,5,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[4,5,7,2,3,8,1,6]=>[5,4,2,7,6,1,8,3]=>[7,4,1,3,2,6,5,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,5,6,2,3,1,8,7]=>[5,4,3,7,6,8,1,2]=>[8,1,4,3,2,6,5,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,5,6,2,1,3,8,7]=>[5,4,3,7,8,6,1,2]=>[8,1,4,3,2,7,5,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,5,1,6,4,2,8,7]=>[6,4,8,3,5,7,1,2]=>[8,1,5,3,6,2,7,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,5,6,1,3,2,8,7]=>[5,4,3,8,6,7,1,2]=>[8,1,4,3,2,6,7,5]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[4,5,6,3,1,2,8,7]=>[5,4,3,6,8,7,1,2]=>[8,1,4,3,2,5,7,6]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,5,7,3,2,8,1,6]=>[5,4,2,6,7,1,8,3]=>[7,4,1,3,2,5,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,5,7,3,2,8,6,1]=>[5,4,2,6,7,1,3,8]=>[7,4,8,3,2,5,6,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[4,6,7,3,8,2,5,1]=>[5,3,2,6,1,7,4,8]=>[6,4,3,8,2,5,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[4,6,7,3,8,2,1,5]=>[5,3,2,6,1,7,8,4]=>[6,4,3,1,2,5,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,6,7,3,8,1,2,5]=>[5,3,2,6,1,8,7,4]=>[6,4,3,1,2,5,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[4,5,7,3,1,8,2,6]=>[5,4,2,6,8,1,7,3]=>[7,4,1,3,2,5,8,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[4,5,7,1,3,8,2,6]=>[5,4,2,8,6,1,7,3]=>[7,4,1,3,2,6,8,5]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[3,5,1,7,4,8,2,6]=>[6,4,8,2,5,1,7,3]=>[7,5,1,3,6,2,8,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,1,5,7,4,8,3,6]=>[7,8,4,2,5,1,6,3]=>[7,5,1,4,6,8,2,3]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,1,5,7,4,8,6,3]=>[7,8,4,2,5,1,3,6]=>[7,5,8,4,6,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[3,5,1,7,4,8,6,2]=>[6,4,8,2,5,1,3,7]=>[7,5,8,3,6,2,1,4]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[4,5,7,1,3,8,6,2]=>[5,4,2,8,6,1,3,7]=>[7,4,8,3,2,6,1,5]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[4,5,7,3,1,8,6,2]=>[5,4,2,6,8,1,3,7]=>[7,4,8,3,2,5,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[4,6,7,3,8,1,5,2]=>[5,3,2,6,1,8,4,7]=>[6,4,3,8,2,5,1,7]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[6,4,3,7,2,5,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[4,6,7,3,8,5,2,1]=>[5,3,2,6,1,4,7,8]=>[6,4,3,7,2,5,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[5,6,7,8,3,1,4,2]=>[4,3,2,1,6,8,5,7]=>[5,4,3,2,8,6,1,7]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[5,6,7,8,1,3,4,2]=>[4,3,2,1,8,6,5,7]=>[5,4,3,2,8,7,1,6]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,6,7,1,8,3,5,2]=>[5,3,2,8,1,6,4,7]=>[6,4,3,8,2,7,1,5]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,6,1,7,8,4,5,2]=>[6,3,8,2,1,5,4,7]=>[6,5,3,8,7,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[2,1,6,7,8,4,5,3]=>[7,8,3,2,1,5,4,6]=>[6,5,4,8,7,1,2,3]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,1,6,7,8,4,3,5]=>[7,8,3,2,1,5,6,4]=>[6,5,4,1,7,8,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,6,1,7,8,4,2,5]=>[6,3,8,2,1,5,7,4]=>[6,5,3,1,7,2,8,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,6,7,1,8,3,2,5]=>[5,3,2,8,1,6,7,4]=>[6,4,3,1,2,7,8,5]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[5,6,7,8,1,3,2,4]=>[4,3,2,1,8,6,7,5]=>[5,4,3,2,1,7,8,6]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[4,5,7,2,1,8,3,6]=>[5,4,2,7,8,1,6,3]=>[7,4,1,3,2,8,5,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,6,7,2,8,1,3,5]=>[5,3,2,7,1,8,6,4]=>[6,4,3,1,2,8,5,7]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,6,7,2,8,3,1,5]=>[5,3,2,7,1,6,8,4]=>[6,4,3,1,2,7,5,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,6,7,2,8,3,5,1]=>[5,3,2,7,1,6,4,8]=>[6,4,3,8,2,7,5,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[3,6,2,7,8,4,5,1]=>[6,3,7,2,1,5,4,8]=>[6,5,3,8,7,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,6,2,7,8,4,1,5]=>[6,3,7,2,1,5,8,4]=>[6,5,3,1,7,2,4,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,6,2,7,8,1,4,5]=>[6,3,7,2,1,8,5,4]=>[6,5,3,1,8,2,4,7]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,5,2,7,1,8,4,6]=>[6,4,7,2,8,1,5,3]=>[7,5,1,3,8,2,4,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[3,4,2,1,7,8,5,6]=>[6,5,7,8,2,1,4,3]=>[7,6,1,8,3,2,4,5]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,4,1,2,7,8,6,5]=>[6,5,8,7,2,1,3,4]=>[7,6,8,1,3,2,5,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[7,5,8,3,1,2,4,6]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,6,2,7,8,1,5,4]=>[6,3,7,2,1,8,4,5]=>[6,5,3,8,1,2,4,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,7,8,5,1,4]=>[6,3,7,2,1,4,8,5]=>[6,5,3,7,1,2,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,7,8,5,4,1]=>[6,3,7,2,1,4,5,8]=>[6,5,3,7,8,2,4,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[4,6,7,2,8,5,3,1]=>[5,3,2,7,1,4,6,8]=>[6,4,3,7,2,8,5,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[4,6,7,2,8,5,1,3]=>[5,3,2,7,1,4,8,6]=>[6,4,3,7,2,1,5,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[6,4,3,8,2,1,5,7]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[4,5,7,2,1,8,6,3]=>[5,4,2,7,8,1,3,6]=>[7,4,8,3,2,1,5,6]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[4,5,7,1,2,8,6,3]=>[5,4,2,8,7,1,3,6]=>[7,4,8,3,2,1,6,5]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[3,5,1,7,2,8,6,4]=>[6,4,8,2,7,1,3,5]=>[7,5,8,3,1,2,6,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,3,8,6,4]=>[7,8,4,2,6,1,3,5]=>[7,5,8,4,1,6,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,1,6,7,8,3,5,4]=>[7,8,3,2,1,6,4,5]=>[6,5,4,8,1,7,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,8,2,5,4]=>[6,3,8,2,1,7,4,5]=>[6,5,3,8,1,2,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,6,7,1,8,2,5,3]=>[5,3,2,8,1,7,4,6]=>[6,4,3,8,2,1,7,5]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[5,6,7,8,1,2,4,3]=>[4,3,2,1,8,7,5,6]=>[5,4,3,2,8,1,7,6]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[5,4,3,2,8,1,6,7]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[5,6,7,8,2,4,1,3]=>[4,3,2,1,7,5,8,6]=>[5,4,3,2,7,1,6,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[5,6,7,8,2,4,3,1]=>[4,3,2,1,7,5,6,8]=>[5,4,3,2,7,8,6,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[5,6,7,8,1,4,2,3]=>[4,3,2,1,8,5,7,6]=>[5,4,3,2,7,1,8,6]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[4,6,7,1,8,5,2,3]=>[5,3,2,8,1,4,7,6]=>[6,4,3,7,2,1,8,5]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[3,6,1,7,8,5,2,4]=>[6,3,8,2,1,4,7,5]=>[6,5,3,7,1,2,8,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[2,1,6,7,8,5,3,4]=>[7,8,3,2,1,4,6,5]=>[6,5,4,7,1,8,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,8,5,4,2]=>[6,3,8,2,1,4,5,7]=>[6,5,3,7,8,2,1,4]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[4,6,7,1,8,5,3,2]=>[5,3,2,8,1,4,6,7]=>[6,4,3,7,2,8,1,5]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[5,6,7,8,1,4,3,2]=>[4,3,2,1,8,5,6,7]=>[5,4,3,2,7,8,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[5,6,7,8,4,1,3,2]=>[4,3,2,1,5,8,6,7]=>[5,4,3,2,6,8,1,7]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[3,5,2,7,4,9,6,10,8,1]=>[8,6,9,4,7,2,5,1,3,10]=>[9,7,10,5,8,3,6,2,4,1]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[4,6,8,3,9,5,10,7,2,1]=>[7,5,3,8,2,6,1,4,9,10]=>[8,6,4,9,3,7,2,5,10,1]=>[[[[[[.,.],.],[.,.]],[.,.]],[.,[.,.]]],.]
[5,7,8,9,4,10,6,3,2,1]=>[6,4,3,2,7,1,5,8,9,10]=>[7,5,4,3,8,2,6,9,10,1]=>[[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]],.]
[6,7,8,9,10,5,4,3,2,1]=>[5,4,3,2,1,6,7,8,9,10]=>[6,5,4,3,2,7,8,9,10,1]=>[[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]],.]
[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[4,5,2,3,7,6,1,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>[7,4,3,6,5,2,1,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>[8,4,3,6,5,1,2,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[1,4,3,6,5,8,7,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>[1,5,6,3,4,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>[8,5,6,3,4,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>[7,5,6,3,4,2,1,8]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>[6,5,7,3,2,4,1,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>[5,6,7,2,3,4,1,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>[4,6,2,7,3,5,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>[4,7,2,6,5,3,1,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>[5,7,6,2,4,3,1,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[6,7,5,4,2,3,1,8]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>[7,8,5,4,1,2,3,6]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>[6,8,5,4,2,1,3,7]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>[5,8,6,2,4,1,3,7]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[4,8,2,6,5,1,3,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>[3,2,8,6,5,1,4,7]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>[3,2,1,6,5,8,7,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>[4,1,2,6,5,8,7,3]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>[5,1,6,2,4,8,7,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>[6,1,7,8,2,4,5,3]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>[5,1,7,2,8,4,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>[4,1,2,7,8,5,6,3]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>[3,2,1,7,8,5,6,4]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>[3,2,8,7,1,5,4,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>[4,8,2,7,1,5,3,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[5,8,7,2,1,4,3,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>[4,7,2,8,1,3,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>[3,2,7,8,1,4,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>[3,2,6,8,4,1,5,7]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>[5,6,8,2,3,1,4,7]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>[6,5,8,3,2,1,4,7]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>[8,5,7,3,1,4,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[1,5,7,3,8,4,6,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>[1,4,3,7,8,5,6,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>[8,4,3,7,1,5,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>[7,4,3,8,1,2,5,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>[3,2,5,4,8,1,6,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>[4,5,2,3,1,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>[5,6,1,2,3,8,7,4]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>[4,6,2,1,3,8,7,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>[3,2,7,1,8,4,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>[5,7,1,2,8,3,6,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>[6,7,1,8,2,3,5,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>[6,8,1,7,2,5,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>[5,8,1,2,7,6,3,4]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>[4,8,2,1,7,6,3,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>[3,2,8,1,7,6,4,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,3,1,2,6,5,8,7]=>[5,6,8,7,3,4,1,2]=>[8,1,6,7,2,3,5,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[5,3,1,6,2,4,8,7]=>[4,6,8,3,7,5,1,2]=>[8,1,5,2,7,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,3,1,5,2,4,8,7]=>[3,6,8,4,7,5,1,2]=>[8,1,2,5,7,3,6,4]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[7,3,1,5,2,8,4,6]=>[2,6,8,4,7,1,5,3]=>[7,2,1,5,8,3,6,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[8,4,5,1,2,7,3,6]=>[1,5,4,8,7,2,6,3]=>[2,7,1,4,3,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[7,4,5,1,2,8,3,6]=>[2,5,4,8,7,1,6,3]=>[7,2,1,4,3,8,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[6,4,5,1,2,3,8,7]=>[3,5,4,8,7,6,1,2]=>[8,1,2,4,3,7,6,5]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[5,4,6,1,2,3,8,7]=>[4,5,3,8,7,6,1,2]=>[8,1,4,2,3,7,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[2,1,6,5,3,4,8,7]=>[7,8,3,4,6,5,1,2]=>[8,1,4,5,7,6,2,3]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[3,6,1,5,2,4,8,7]=>[6,3,8,4,7,5,1,2]=>[8,1,3,5,7,2,6,4]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,5,1,2,3,8,7]=>[5,3,4,8,7,6,1,2]=>[8,1,3,4,2,7,6,5]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[5,6,4,1,2,3,8,7]=>[4,3,5,8,7,6,1,2]=>[8,1,3,2,4,7,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[6,5,4,1,2,3,8,7]=>[3,4,5,8,7,6,1,2]=>[8,1,2,3,4,7,6,5]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[7,5,4,1,2,8,3,6]=>[2,4,5,8,7,1,6,3]=>[7,2,1,3,4,8,6,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[8,6,4,1,7,2,3,5]=>[1,3,5,8,2,7,6,4]=>[2,6,3,1,4,8,7,5]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[7,6,4,1,8,2,3,5]=>[2,3,5,8,1,7,6,4]=>[6,2,3,1,4,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,7,4,1,8,2,3,5]=>[3,2,5,8,1,7,6,4]=>[6,3,2,1,4,8,7,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[5,7,4,1,2,8,3,6]=>[4,2,5,8,7,1,6,3]=>[7,3,1,2,4,8,6,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[4,7,5,1,2,8,3,6]=>[5,2,4,8,7,1,6,3]=>[7,3,1,4,2,8,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[3,7,1,5,2,8,4,6]=>[6,2,8,4,7,1,5,3]=>[7,3,1,5,8,2,6,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,1,7,5,3,8,4,6]=>[7,8,2,4,6,1,5,3]=>[7,4,1,5,8,6,2,3]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,1,8,5,3,7,4,6]=>[7,8,1,4,6,2,5,3]=>[4,7,1,5,8,6,2,3]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[3,8,1,5,2,7,4,6]=>[6,1,8,4,7,2,5,3]=>[3,7,1,5,8,2,6,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,5,1,2,7,3,6]=>[5,1,4,8,7,2,6,3]=>[3,7,1,4,2,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[5,8,4,1,2,7,3,6]=>[4,1,5,8,7,2,6,3]=>[3,7,1,2,4,8,6,5]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[6,8,4,1,7,2,3,5]=>[3,1,5,8,2,7,6,4]=>[3,6,2,1,4,8,7,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[8,7,4,1,6,2,3,5]=>[1,2,5,8,3,7,6,4]=>[2,3,6,1,4,8,7,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[5,8,6,7,1,2,3,4]=>[4,1,3,2,8,7,6,5]=>[3,5,4,2,1,8,7,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[4,8,6,1,7,2,3,5]=>[5,1,3,8,2,7,6,4]=>[3,6,4,1,2,8,7,5]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[3,8,1,6,7,2,4,5]=>[6,1,8,3,2,7,5,4]=>[3,6,5,1,8,2,7,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,1,8,6,7,3,4,5]=>[7,8,1,3,2,6,5,4]=>[4,6,5,1,8,7,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,1,7,6,8,3,4,5]=>[7,8,2,3,1,6,5,4]=>[6,4,5,1,8,7,2,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,7,1,6,8,2,4,5]=>[6,2,8,3,1,7,5,4]=>[6,3,5,1,8,2,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,6,1,8,2,3,5]=>[5,2,3,8,1,7,6,4]=>[6,3,4,1,2,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,7,6,8,1,2,3,4]=>[4,2,3,1,8,7,6,5]=>[5,3,4,2,1,8,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[5,4,7,1,2,8,3,6]=>[4,5,2,8,7,1,6,3]=>[7,4,1,2,3,8,6,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[6,4,7,1,8,2,3,5]=>[3,5,2,8,1,7,6,4]=>[6,4,2,1,3,8,7,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[7,4,6,1,8,2,3,5]=>[2,5,3,8,1,7,6,4]=>[6,2,4,1,3,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[8,4,6,1,7,2,3,5]=>[1,5,3,8,2,7,6,4]=>[2,6,4,1,3,8,7,5]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[8,3,1,6,7,2,4,5]=>[1,6,8,3,2,7,5,4]=>[2,6,5,1,8,3,7,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[7,3,1,6,8,2,4,5]=>[2,6,8,3,1,7,5,4]=>[6,2,5,1,8,3,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,3,1,7,8,2,4,5]=>[3,6,8,2,1,7,5,4]=>[6,5,2,1,8,3,7,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[5,3,1,7,2,8,4,6]=>[4,6,8,2,7,1,5,3]=>[7,5,1,2,8,3,6,4]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,3,1,2,7,8,5,6]=>[5,6,8,7,2,1,4,3]=>[7,6,1,8,2,3,5,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,1,4,3,8,7,5,6]=>[7,8,5,6,1,2,4,3]=>[6,7,1,8,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,4,1,2,8,7,5,6]=>[6,5,8,7,1,2,4,3]=>[6,7,1,8,3,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,3,1,8,7,2,4,5]=>[3,6,8,1,2,7,5,4]=>[5,6,2,1,8,3,7,4]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[7,3,1,8,6,2,4,5]=>[2,6,8,1,3,7,5,4]=>[5,2,6,1,8,3,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,4,7,1,6,2,3,5]=>[1,5,2,8,3,7,6,4]=>[2,4,6,1,3,8,7,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[7,4,8,1,6,2,3,5]=>[2,5,1,8,3,7,6,4]=>[4,2,6,1,3,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,4,8,1,2,7,3,6]=>[4,5,1,8,7,2,6,3]=>[4,7,1,2,3,8,6,5]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[4,5,8,1,2,7,3,6]=>[5,4,1,8,7,2,6,3]=>[4,7,1,3,2,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[3,5,1,8,2,7,4,6]=>[6,4,8,1,7,2,5,3]=>[5,7,1,3,8,2,6,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,1,5,8,3,7,4,6]=>[7,8,4,1,6,2,5,3]=>[5,7,1,4,8,6,2,3]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,1,6,8,7,3,4,5]=>[7,8,3,1,2,6,5,4]=>[5,6,4,1,8,7,2,3]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,6,1,8,7,2,4,5]=>[6,3,8,1,2,7,5,4]=>[5,6,3,1,8,2,7,4]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,6,8,1,7,2,3,5]=>[5,3,1,8,2,7,6,4]=>[4,6,3,1,2,8,7,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[5,6,8,7,1,2,3,4]=>[4,3,1,2,8,7,6,5]=>[4,5,3,2,1,8,7,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[7,5,8,6,1,2,3,4]=>[2,4,1,3,8,7,6,5]=>[4,2,5,3,1,8,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[8,5,7,6,1,2,3,4]=>[1,4,2,3,8,7,6,5]=>[2,4,5,3,1,8,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[5,7,8,6,1,2,3,4]=>[4,2,1,3,8,7,6,5]=>[4,3,5,2,1,8,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,7,8,1,6,2,3,5]=>[5,2,1,8,3,7,6,4]=>[4,3,6,1,2,8,7,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,7,1,8,6,2,4,5]=>[6,2,8,1,3,7,5,4]=>[5,3,6,1,8,2,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,1,7,8,6,3,4,5]=>[7,8,2,1,3,6,5,4]=>[5,4,6,1,8,7,2,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,1,8,7,6,3,4,5]=>[7,8,1,2,3,6,5,4]=>[4,5,6,1,8,7,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,8,1,7,6,2,4,5]=>[6,1,8,2,3,7,5,4]=>[3,5,6,1,8,2,7,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,7,1,6,2,3,5]=>[5,1,2,8,3,7,6,4]=>[3,4,6,1,2,8,7,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[5,8,7,6,1,2,3,4]=>[4,1,2,3,8,7,6,5]=>[3,4,5,2,1,8,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[6,8,7,5,1,2,3,4]=>[3,1,2,4,8,7,6,5]=>[3,4,2,5,1,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,4,7,3,8,5,1,2]=>[3,5,2,6,1,4,8,7]=>[6,4,2,7,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,4,7,3,5,8,1,2]=>[3,5,2,6,4,1,8,7]=>[7,4,2,6,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,4,7,2,5,1,8,3]=>[3,5,2,7,4,8,1,6]=>[8,4,2,6,3,1,5,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[5,4,2,7,6,1,3,8]=>[4,5,7,2,3,8,6,1]=>[1,5,6,2,3,8,4,7]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,4,2,7,6,1,8,3]=>[4,5,7,2,3,8,1,6]=>[8,5,6,2,3,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,4,3,7,6,8,1,2]=>[4,5,6,2,3,1,8,7]=>[7,5,6,2,3,4,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[5,4,3,7,8,6,1,2]=>[4,5,6,2,1,3,8,7]=>[6,5,7,2,3,4,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[6,4,8,3,5,7,1,2]=>[3,5,1,6,4,2,8,7]=>[4,7,2,6,3,5,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,4,3,8,6,7,1,2]=>[4,5,6,1,3,2,8,7]=>[5,7,6,2,3,4,1,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[5,4,3,6,8,7,1,2]=>[4,5,6,3,1,2,8,7]=>[6,7,5,2,3,4,1,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[5,4,2,6,7,1,8,3]=>[4,5,7,3,2,8,1,6]=>[8,6,5,2,3,1,4,7]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[5,4,2,6,7,1,3,8]=>[4,5,7,3,2,8,6,1]=>[1,6,5,2,3,8,4,7]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,3,2,6,1,7,4,8]=>[4,6,7,3,8,2,5,1]=>[1,7,5,2,8,3,4,6]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,2,6,1,7,8,4]=>[4,6,7,3,8,2,1,5]=>[8,7,5,2,1,3,4,6]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[5,3,2,6,1,8,7,4]=>[4,6,7,3,8,1,2,5]=>[7,8,5,2,1,3,4,6]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[5,4,2,6,8,1,7,3]=>[4,5,7,3,1,8,2,6]=>[6,8,5,2,3,1,4,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,4,2,8,6,1,7,3]=>[4,5,7,1,3,8,2,6]=>[5,8,6,2,3,1,4,7]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[4,8,2,6,3,1,5,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[7,8,4,2,5,1,6,3]=>[2,1,5,7,4,8,3,6]=>[3,2,8,6,4,1,5,7]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[7,8,4,2,5,1,3,6]=>[2,1,5,7,4,8,6,3]=>[3,2,1,6,4,8,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,4,2,8,6,1,3,7]=>[4,5,7,1,3,8,6,2]=>[5,1,6,2,3,8,4,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,2,6,1,8,4,7]=>[4,6,7,3,8,1,5,2]=>[7,1,5,2,8,3,4,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,2,1,6,8,5,7]=>[5,6,7,8,3,1,4,2]=>[7,1,6,8,2,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,1,8,6,5,7]=>[5,6,7,8,1,3,4,2]=>[6,1,7,8,2,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,3,2,8,1,6,4,7]=>[4,6,7,1,8,3,5,2]=>[5,1,7,2,8,3,4,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,8,2,1,5,4,7]=>[3,6,1,7,8,4,5,2]=>[4,1,2,7,8,3,5,6]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,2,1,5,4,6]=>[2,1,6,7,8,4,5,3]=>[3,2,1,7,8,4,5,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[7,8,3,2,1,5,6,4]=>[2,1,6,7,8,4,3,5]=>[3,2,8,7,1,4,5,6]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[6,3,8,2,1,5,7,4]=>[3,6,1,7,8,4,2,5]=>[4,8,2,7,1,3,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[5,8,7,2,1,3,4,6]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[5,4,2,7,8,1,6,3]=>[4,5,7,2,1,8,3,6]=>[6,5,8,2,3,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,3,2,7,1,8,6,4]=>[4,6,7,2,8,1,3,5]=>[7,5,8,2,1,3,4,6]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[5,3,2,7,1,6,8,4]=>[4,6,7,2,8,3,1,5]=>[8,5,7,2,1,3,4,6]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,7,2,1,5,4,8]=>[3,6,2,7,8,4,5,1]=>[1,4,2,7,8,3,5,6]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,7,2,1,5,8,4]=>[3,6,2,7,8,4,1,5]=>[8,4,2,7,1,3,5,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[6,3,7,2,1,8,5,4]=>[3,6,2,7,8,1,4,5]=>[7,4,2,8,1,3,5,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[6,4,7,2,8,1,5,3]=>[3,5,2,7,1,8,4,6]=>[6,4,2,8,3,1,5,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,5,7,8,2,1,4,3]=>[3,4,2,1,7,8,5,6]=>[5,4,2,3,8,1,6,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,5,8,7,2,1,3,4]=>[3,4,1,2,7,8,6,5]=>[4,5,2,3,1,8,6,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,3,7,2,1,8,4,5]=>[3,6,2,7,8,1,5,4]=>[7,4,2,1,8,3,5,6]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[6,3,7,2,1,4,8,5]=>[3,6,2,7,8,5,1,4]=>[8,4,2,1,7,3,5,6]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[6,3,7,2,1,4,5,8]=>[3,6,2,7,8,5,4,1]=>[1,4,2,8,7,3,5,6]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,3,2,7,1,4,8,6]=>[4,6,7,2,8,5,1,3]=>[8,5,1,2,7,3,4,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,4,2,8,7,1,3,6]=>[4,5,7,1,2,8,6,3]=>[5,6,1,2,3,8,4,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[7,8,4,2,6,1,3,5]=>[2,1,5,7,3,8,6,4]=>[3,2,6,1,4,8,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,8,3,2,1,6,4,5]=>[2,1,6,7,8,3,5,4]=>[3,2,7,1,8,4,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,3,8,2,1,7,4,5]=>[3,6,1,7,8,2,5,4]=>[4,7,2,1,8,3,5,6]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[5,3,2,8,1,7,4,6]=>[4,6,7,1,8,2,5,3]=>[5,7,1,2,8,3,4,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,2,1,8,7,5,6]=>[5,6,7,8,1,2,4,3]=>[6,7,1,8,2,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,1,7,5,8,6]=>[5,6,7,8,2,4,1,3]=>[8,6,1,7,2,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,3,2,1,7,5,6,8]=>[5,6,7,8,2,4,3,1]=>[1,6,8,7,2,3,4,5]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,3,2,1,8,5,7,6]=>[5,6,7,8,1,4,2,3]=>[6,8,1,7,2,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,3,2,8,1,4,7,6]=>[4,6,7,1,8,5,2,3]=>[5,8,1,2,7,3,4,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,8,2,1,4,7,5]=>[3,6,1,7,8,5,2,4]=>[4,8,2,1,7,3,5,6]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[7,8,3,2,1,4,6,5]=>[2,1,6,7,8,5,3,4]=>[3,2,8,1,7,4,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,3,8,2,1,4,5,7]=>[3,6,1,7,8,5,4,2]=>[4,1,2,8,7,3,5,6]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,2,1,8,5,6,7]=>[5,6,7,8,1,4,3,2]=>[6,1,8,7,2,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,2,1,5,8,6,7]=>[5,6,7,8,4,1,3,2]=>[7,1,8,6,2,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,8,5,6,1,2,4,3]=>[2,1,4,3,8,7,5,6]=>[3,2,5,4,8,1,7,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[7,8,4,1,6,2,5,3]=>[2,1,5,8,3,7,4,6]=>[3,2,6,8,4,1,7,5]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[7,8,1,4,6,2,5,3]=>[2,1,8,5,3,7,4,6]=>[3,2,6,8,5,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[6,1,8,4,7,2,5,3]=>[3,8,1,5,2,7,4,6]=>[4,6,2,8,5,1,7,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[4,6,3,8,5,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[1,6,8,3,2,7,5,4]=>[8,3,1,6,7,2,4,5]=>[4,7,3,8,1,5,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[6,1,8,3,2,7,5,4]=>[3,8,1,6,7,2,4,5]=>[4,7,2,8,1,5,6,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[7,8,1,3,2,6,5,4]=>[2,1,8,6,7,3,4,5]=>[3,2,7,8,1,5,6,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,8,3,1,2,6,5,4]=>[2,1,6,8,7,3,4,5]=>[3,2,7,8,1,4,6,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[3,2,6,7,5,4,1,8]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]
[7,8,2,4,6,1,5,3]=>[2,1,7,5,3,8,4,6]=>[3,2,6,8,5,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[7,8,2,3,1,6,5,4]=>[2,1,7,6,8,3,4,5]=>[3,2,7,8,1,5,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,8,2,1,3,6,5,4]=>[2,1,7,8,6,3,4,5]=>[3,2,7,8,1,6,4,5]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,8,1,2,3,6,5,4]=>[2,1,8,7,6,3,4,5]=>[3,2,7,8,1,6,5,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,1,8,2,3,7,5,4]=>[3,8,1,7,6,2,4,5]=>[4,7,2,8,1,6,5,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,6,8,2,3,7,5,4]=>[8,3,1,7,6,2,4,5]=>[4,7,3,8,1,6,5,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,5,2,8,3,7,6,4]=>[8,4,7,1,6,2,3,5]=>[5,7,8,3,1,6,4,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,1,2,8,3,7,6,4]=>[4,8,7,1,6,2,3,5]=>[5,7,8,2,1,6,4,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,2,1,8,3,7,6,4]=>[4,7,8,1,6,2,3,5]=>[5,7,8,2,1,6,3,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[6,2,8,1,3,7,5,4]=>[3,7,1,8,6,2,4,5]=>[4,7,2,8,1,6,3,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,2,8,3,1,7,5,4]=>[3,7,1,6,8,2,4,5]=>[4,7,2,8,1,5,3,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[4,6,2,8,5,1,3,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[6,3,8,4,7,5,1,2]=>[3,6,1,5,2,4,8,7]=>[4,6,2,7,5,3,1,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[3,6,8,4,7,5,1,2]=>[6,3,1,5,2,4,8,7]=>[4,6,3,7,5,2,1,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[2,6,8,4,7,1,5,3]=>[7,3,1,5,2,8,4,6]=>[4,6,3,8,5,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[2,6,8,3,1,7,5,4]=>[7,3,1,6,8,2,4,5]=>[4,7,3,8,1,5,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,6,8,1,3,7,5,4]=>[7,3,1,8,6,2,4,5]=>[4,7,3,8,1,6,2,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,5,1,8,3,7,6,4]=>[7,4,8,1,6,2,3,5]=>[5,7,8,3,1,6,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[5,7,8,4,1,6,3,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[2,4,1,3,8,7,6,5]=>[7,5,8,6,1,2,3,4]=>[6,7,8,1,3,5,2,4]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,5,3,8,1,7,6,4]=>[7,4,6,1,8,2,3,5]=>[5,7,8,3,1,4,2,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,5,4,8,7,1,6,3]=>[7,4,5,1,2,8,3,6]=>[5,6,8,3,4,1,2,7]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[3,5,4,8,7,6,1,2]=>[6,4,5,1,2,3,8,7]=>[5,6,7,3,4,2,1,8]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[5,3,4,8,7,6,1,2]=>[4,6,5,1,2,3,8,7]=>[5,6,7,2,4,3,1,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[5,2,4,8,7,1,6,3]=>[4,7,5,1,2,8,3,6]=>[5,6,8,2,4,1,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[5,7,8,2,1,4,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,2,1,3,8,7,6,5]=>[5,7,8,6,1,2,3,4]=>[6,7,8,1,2,5,3,4]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,1,2,3,8,7,6,5]=>[5,8,7,6,1,2,3,4]=>[6,7,8,1,2,5,4,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[1,4,2,3,8,7,6,5]=>[8,5,7,6,1,2,3,4]=>[6,7,8,1,3,5,4,2]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[4,1,3,2,8,7,6,5]=>[5,8,6,7,1,2,3,4]=>[6,7,8,1,2,4,5,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,3,1,2,8,7,6,5]=>[5,6,8,7,1,2,3,4]=>[6,7,8,1,2,3,5,4]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,3,8,1,2,7,5,4]=>[3,6,1,8,7,2,4,5]=>[4,7,2,8,1,3,6,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[5,3,1,8,2,7,6,4]=>[4,6,8,1,7,2,3,5]=>[5,7,8,2,1,3,6,4]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[5,1,3,8,2,7,6,4]=>[4,8,6,1,7,2,3,5]=>[5,7,8,2,1,4,6,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[5,7,8,3,1,4,6,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[1,5,4,8,7,2,6,3]=>[8,4,5,1,2,7,3,6]=>[5,6,8,3,4,1,7,2]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[5,1,4,8,7,2,6,3]=>[4,8,5,1,2,7,3,6]=>[5,6,8,2,4,1,7,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[5,4,1,8,7,2,6,3]=>[4,5,8,1,2,7,3,6]=>[5,6,8,2,3,1,7,4]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,4,8,1,7,2,5,3]=>[3,5,1,8,2,7,4,6]=>[4,6,2,8,3,1,7,5]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[6,5,8,7,1,2,4,3]=>[3,4,1,2,8,7,5,6]=>[4,5,2,3,8,1,7,6]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,6,8,7,3,4,1,2]=>[4,3,1,2,6,5,8,7]=>[4,5,3,2,7,6,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[5,6,8,7,2,1,4,3]=>[4,3,1,2,7,8,5,6]=>[4,5,3,2,8,1,6,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[4,5,1,8,7,2,6,3]=>[5,4,8,1,2,7,3,6]=>[5,6,8,3,2,1,7,4]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[4,1,5,8,7,2,6,3]=>[5,8,4,1,2,7,3,6]=>[5,6,8,4,2,1,7,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[1,4,5,8,7,2,6,3]=>[8,5,4,1,2,7,3,6]=>[5,6,8,4,3,1,7,2]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[1,3,5,8,2,7,6,4]=>[8,6,4,1,7,2,3,5]=>[5,7,8,4,1,3,6,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[3,1,5,8,2,7,6,4]=>[6,8,4,1,7,2,3,5]=>[5,7,8,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[3,6,8,1,2,7,5,4]=>[6,3,1,8,7,2,4,5]=>[4,7,3,8,1,2,6,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,6,8,2,1,7,5,4]=>[6,3,1,7,8,2,4,5]=>[4,7,3,8,1,2,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,6,8,2,7,1,5,3]=>[5,3,1,7,2,8,4,6]=>[4,6,3,8,2,1,5,7]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[4,6,8,3,7,5,1,2]=>[5,3,1,6,2,4,8,7]=>[4,6,3,7,2,5,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,5,3,8,7,6,1,2]=>[5,4,6,1,2,3,8,7]=>[5,6,7,3,2,4,1,8]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[4,5,2,8,7,1,6,3]=>[5,4,7,1,2,8,3,6]=>[5,6,8,3,2,1,4,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[3,5,2,8,1,7,6,4]=>[6,4,7,1,8,2,3,5]=>[5,7,8,3,1,2,4,6]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,4,2,8,7,6,5]=>[6,8,5,7,1,2,3,4]=>[6,7,8,1,4,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,1,2,4,8,7,6,5]=>[6,8,7,5,1,2,3,4]=>[6,7,8,1,5,2,4,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,2,5,8,1,7,6,4]=>[6,7,4,1,8,2,3,5]=>[5,7,8,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[4,2,5,8,7,1,6,3]=>[5,7,4,1,2,8,3,6]=>[5,6,8,4,2,1,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[4,3,5,8,7,6,1,2]=>[5,6,4,1,2,3,8,7]=>[5,6,7,4,2,3,1,8]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[3,4,5,8,7,6,1,2]=>[6,5,4,1,2,3,8,7]=>[5,6,7,4,3,2,1,8]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[2,4,5,8,7,1,6,3]=>[7,5,4,1,2,8,3,6]=>[5,6,8,4,3,1,2,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,3,5,8,1,7,6,4]=>[7,6,4,1,8,2,3,5]=>[5,7,8,4,1,3,2,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,1,3,2,6,5,8,7]=>[5,8,6,7,3,4,1,2]=>[8,1,6,7,2,4,5,3]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,3,2,6,4,8,7]=>[4,8,6,7,3,5,1,2]=>[8,1,6,2,7,4,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[6,1,3,2,5,4,8,7]=>[3,8,6,7,4,5,1,2]=>[8,1,2,6,7,4,5,3]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[7,1,3,2,5,4,8,6]=>[2,8,6,7,4,5,1,3]=>[8,2,1,6,7,4,5,3]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[7,1,4,2,5,3,8,6]=>[2,8,5,7,4,6,1,3]=>[8,2,1,6,4,7,5,3]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[6,1,4,2,5,3,8,7]=>[3,8,5,7,4,6,1,2]=>[8,1,2,6,4,7,5,3]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[2,1,6,3,5,4,8,7]=>[7,8,3,6,4,5,1,2]=>[8,1,4,6,7,5,2,3]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[4,1,6,2,5,3,8,7]=>[5,8,3,7,4,6,1,2]=>[8,1,4,6,2,7,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[6,2,5,1,4,3,8,7]=>[3,7,4,8,5,6,1,2]=>[8,1,2,4,6,7,3,5]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[5,2,6,1,4,3,8,7]=>[4,7,3,8,5,6,1,2]=>[8,1,4,2,6,7,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,7,1,4,3,8,6]=>[4,7,2,8,5,6,1,3]=>[8,4,1,2,6,7,3,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[5,2,8,1,4,3,7,6]=>[4,7,1,8,5,6,2,3]=>[4,8,1,2,6,7,3,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[7,2,6,1,4,3,8,5]=>[2,7,3,8,5,6,1,4]=>[8,2,4,1,6,7,3,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,2,5,1,4,3,8,6]=>[2,7,4,8,5,6,1,3]=>[8,2,1,4,6,7,3,5]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[4,1,7,2,5,3,8,6]=>[5,8,2,7,4,6,1,3]=>[8,4,1,6,2,7,5,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[2,1,7,3,5,4,8,6]=>[7,8,2,6,4,5,1,3]=>[8,4,1,6,7,5,2,3]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,1,8,2,5,4,7,6]=>[6,8,1,7,4,5,2,3]=>[4,8,1,6,7,2,5,3]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,2,6,1,4,3,7,5]=>[1,7,3,8,5,6,2,4]=>[2,8,4,1,6,7,3,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[8,1,4,3,7,2,6,5]=>[1,8,5,6,2,7,3,4]=>[2,6,8,1,4,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,1,5,3,8,2,6,4]=>[2,8,4,6,1,7,3,5]=>[6,2,8,4,1,5,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[8,2,6,1,5,3,7,4]=>[1,7,3,8,4,6,2,5]=>[2,8,4,6,1,7,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,1,8,2,6,4,7,5]=>[6,8,1,7,3,5,2,4]=>[4,8,6,1,7,2,5,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,1,8,3,6,4,7,5]=>[7,8,1,6,3,5,2,4]=>[4,8,6,1,7,5,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[7,2,6,1,5,3,8,4]=>[2,7,3,8,4,6,1,5]=>[8,2,4,6,1,7,3,5]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,2,8,1,5,3,7,4]=>[3,7,1,8,4,6,2,5]=>[4,8,2,6,1,7,3,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,1,5,2,6,3,7,4]=>[1,8,4,7,3,6,2,5]=>[2,8,6,4,1,7,5,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[8,1,3,2,6,4,7,5]=>[1,8,6,7,3,5,2,4]=>[2,8,6,1,7,4,5,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[5,1,3,2,7,4,8,6]=>[4,8,6,7,2,5,1,3]=>[8,6,1,2,7,4,5,3]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[4,1,3,2,7,5,8,6]=>[5,8,6,7,2,4,1,3]=>[8,6,1,7,2,4,5,3]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[2,1,4,3,8,5,7,6]=>[7,8,5,6,1,4,2,3]=>[6,8,1,7,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,3,2,8,4,7,6]=>[4,8,6,7,1,5,2,3]=>[6,8,1,2,7,4,5,3]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[6,1,3,2,8,4,7,5]=>[3,8,6,7,1,5,2,4]=>[6,8,2,1,7,4,5,3]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[8,3,7,1,4,2,6,5]=>[1,6,2,8,5,7,3,4]=>[2,4,8,1,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,1,4,2,8,3,7,6]=>[4,8,5,7,1,6,2,3]=>[6,8,1,2,4,7,5,3]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[3,1,5,2,8,4,7,6]=>[6,8,4,7,1,5,2,3]=>[6,8,1,4,7,2,5,3]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,1,5,3,8,4,7,6]=>[7,8,4,6,1,5,2,3]=>[6,8,1,4,7,5,2,3]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,1,6,3,8,4,7,5]=>[7,8,3,6,1,5,2,4]=>[6,8,4,1,7,5,2,3]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,1,6,2,8,4,7,5]=>[6,8,3,7,1,5,2,4]=>[6,8,4,1,7,2,5,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,1,6,2,8,3,7,5]=>[5,8,3,7,1,6,2,4]=>[6,8,4,1,2,7,5,3]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[5,1,6,2,8,3,7,4]=>[4,8,3,7,1,6,2,5]=>[6,8,4,2,1,7,5,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[7,3,8,1,5,2,6,4]=>[2,6,1,8,4,7,3,5]=>[4,2,8,6,1,3,7,5]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,2,8,3,7,1,5,4]=>[3,7,1,6,2,8,4,5]=>[4,6,2,8,1,5,3,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,3,7,2,6,1,5,4]=>[1,6,2,7,3,8,4,5]=>[2,4,6,8,1,3,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,1,8,3,7,2,6,4]=>[4,8,1,6,2,7,3,5]=>[4,6,8,2,1,5,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[4,1,8,3,7,2,6,5]=>[5,8,1,6,2,7,3,4]=>[4,6,8,1,2,5,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,1,8,4,7,2,6,5]=>[6,8,1,5,2,7,3,4]=>[4,6,8,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,8,4,7,3,6,5]=>[7,8,1,5,2,6,3,4]=>[4,6,8,1,5,7,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,7,4,8,3,6,5]=>[7,8,2,5,1,6,3,4]=>[6,4,8,1,5,7,2,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,3,8,2,6,1,5,4]=>[2,6,1,7,3,8,4,5]=>[4,2,6,8,1,3,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[8,2,6,3,7,1,5,4]=>[1,7,3,6,2,8,4,5]=>[2,6,4,8,1,5,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,2,6,3,8,1,5,4]=>[2,7,3,6,1,8,4,5]=>[6,2,4,8,1,5,3,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,6,8,1,5,7]=>[6,5,7,3,1,8,4,2]=>[6,1,5,8,3,2,4,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[5,3,6,2,8,1,4,7]=>[4,6,3,7,1,8,5,2]=>[6,1,4,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,6,2,4,8,1,7]=>[4,6,3,7,5,1,8,2]=>[7,1,4,2,6,3,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,3,8,2,4,1,6]=>[4,2,6,1,7,5,8,3]=>[5,3,1,2,7,4,6,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,4,2,5,8,3,1,6]=>[2,5,7,4,1,6,8,3]=>[6,2,1,5,3,7,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,1,6,8,3,7]=>[5,4,7,8,3,1,6,2]=>[7,1,6,3,2,8,4,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,3,1,6,8,2,4,7]=>[4,6,8,3,1,7,5,2]=>[6,1,5,2,8,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,2,8,1,3,4,7]=>[4,3,7,1,8,6,5,2]=>[5,1,3,2,8,7,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[4,5,1,6,3,8,2,7]=>[5,4,8,3,6,1,7,2]=>[7,1,5,3,2,6,8,4]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[4,5,6,3,2,8,1,7]=>[5,4,3,6,7,1,8,2]=>[7,1,4,3,2,5,6,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,4,5,3,8,2,1,6]=>[2,5,4,6,1,7,8,3]=>[6,2,1,4,3,5,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,7,4,8,3,2,1,5]=>[3,2,5,1,6,7,8,4]=>[5,3,2,1,4,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,7,4,1,8,3,2,5]=>[3,2,5,8,1,6,7,4]=>[6,3,2,1,4,7,8,5]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[7,4,5,3,1,8,2,6]=>[2,5,4,6,8,1,7,3]=>[7,2,1,4,3,5,8,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,5,8,3,2,6]=>[5,2,8,4,1,6,7,3]=>[6,3,1,5,2,7,8,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[5,3,7,8,1,4,2,6]=>[4,6,2,1,8,5,7,3]=>[5,4,1,2,7,3,8,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[5,2,8,4,7,3,1,6]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[4,5,1,7,8,3,6,2]=>[5,4,8,2,1,6,3,7]=>[6,5,8,3,2,7,1,4]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[6,7,4,3,8,1,5,2]=>[3,2,5,6,1,8,4,7]=>[6,3,2,8,4,5,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,7,4,8,3,1,5,2]=>[3,2,5,1,6,8,4,7]=>[5,3,2,8,4,6,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,7,4,8,3,5,2,1]=>[3,2,5,1,6,4,7,8]=>[5,3,2,7,4,6,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,6,7,3,1,8,4,2]=>[4,3,2,6,8,1,5,7]=>[7,4,3,2,8,5,1,6]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[5,6,1,7,3,8,4,2]=>[4,3,8,2,6,1,5,7]=>[7,5,3,2,8,6,1,4]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[6,7,2,8,4,5,1,3]=>[3,2,7,1,5,4,8,6]=>[5,3,2,7,6,1,4,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,7,2,8,4,1,3,5]=>[3,2,7,1,5,8,6,4]=>[5,3,2,1,6,8,4,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,1,6,7,3,2,8,4]=>[4,8,3,2,6,7,1,5]=>[8,5,4,2,1,6,7,3]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[5,6,1,7,3,2,8,4]=>[4,3,8,2,6,7,1,5]=>[8,5,3,2,1,6,7,4]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[5,6,7,3,2,1,8,4]=>[4,3,2,6,7,8,1,5]=>[8,4,3,2,1,5,6,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[5,6,7,3,2,8,4,1]=>[4,3,2,6,7,1,5,8]=>[7,4,3,2,8,5,6,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[5,6,2,7,3,8,4,1]=>[4,3,7,2,6,1,5,8]=>[7,5,3,2,8,6,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[5,6,2,7,3,1,8,4]=>[4,3,7,2,6,8,1,5]=>[8,5,3,2,1,6,4,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,6,2,1,7,3,8,4]=>[4,3,7,8,2,6,1,5]=>[8,6,3,2,1,7,4,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[6,1,7,4,2,8,3,5]=>[3,8,2,5,7,1,6,4]=>[7,4,2,1,5,8,6,3]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[6,7,2,1,8,3,4,5]=>[3,2,7,8,1,6,5,4]=>[6,3,2,1,8,7,4,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[7,5,8,2,1,3,4,6]=>[2,4,1,7,8,6,5,3]=>[4,2,1,3,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[5,7,3,1,8,2,4,6]=>[4,2,6,8,1,7,5,3]=>[6,3,1,2,8,4,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,7,1,5,2,8,3,6]=>[5,2,8,4,7,1,6,3]=>[7,3,1,5,2,8,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[7,4,2,5,1,8,3,6]=>[2,5,7,4,8,1,6,3]=>[7,2,1,5,3,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,7,4,2,8,3,1,5]=>[3,2,5,7,1,6,8,4]=>[6,3,2,1,4,7,5,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[3,6,7,2,8,4,5,1]=>[6,3,2,7,1,5,4,8]=>[6,4,3,8,7,2,5,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,6,7,2,8,4,1,5]=>[6,3,2,7,1,5,8,4]=>[6,4,3,1,7,2,5,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,7,3,8,2,1,4,6]=>[4,2,6,1,7,8,5,3]=>[5,3,1,2,8,4,6,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,4,7,8,2,1,5,6]=>[6,5,2,1,7,8,4,3]=>[5,4,1,8,3,2,6,7]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,7,8,1,4,6,2,5]=>[6,2,1,8,5,3,7,4]=>[4,3,7,1,6,2,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,8,2,6,1,5]=>[6,5,2,1,7,3,8,4]=>[5,4,7,1,3,2,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,7,3,8,2,6,1,4]=>[4,2,6,1,7,3,8,5]=>[5,3,7,2,1,4,6,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,6,7,2,8,5,1,4]=>[6,3,2,7,1,4,8,5]=>[6,4,3,7,1,2,5,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,6,7,8,5,2,1,4]=>[6,3,2,1,4,7,8,5]=>[5,4,3,6,1,2,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[6,4,7,8,2,1,5,3]=>[3,5,2,1,7,8,4,6]=>[5,4,2,8,3,1,6,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[4,1,5,7,8,2,6,3]=>[5,8,4,2,1,7,3,6]=>[6,5,8,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[6,7,2,8,5,1,3,4]=>[3,2,7,1,4,8,6,5]=>[5,3,2,6,1,8,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[6,4,1,7,8,2,5,3]=>[3,5,8,2,1,7,4,6]=>[6,5,2,8,3,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[5,1,6,2,7,8,4,3]=>[4,8,3,7,2,1,5,6]=>[7,6,4,2,8,1,5,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,6,2,1,7,8,4,3]=>[4,3,7,8,2,1,5,6]=>[7,6,3,2,8,1,4,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[5,6,2,7,1,8,4,3]=>[4,3,7,2,8,1,5,6]=>[7,5,3,2,8,1,4,6]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[5,6,7,2,8,4,3,1]=>[4,3,2,7,1,5,6,8]=>[6,4,3,2,7,8,5,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[5,1,6,7,2,8,4,3]=>[4,8,3,2,7,1,5,6]=>[7,5,4,2,8,1,6,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[6,4,2,8,3,1,7,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,6,7,1,8,5,2,4]=>[6,3,2,8,1,4,7,5]=>[6,4,3,7,1,2,8,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,7,8,3,5,1,4,2]=>[3,2,1,6,4,8,5,7]=>[4,3,2,6,8,5,1,7]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[4,6,7,8,1,5,3,2]=>[5,3,2,1,8,4,6,7]=>[5,4,3,7,2,8,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[5,6,1,7,8,4,3,2]=>[4,3,8,2,1,5,6,7]=>[6,5,3,2,7,8,1,4]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[5,6,7,1,8,4,3,2]=>[4,3,2,8,1,5,6,7]=>[6,4,3,2,7,8,1,5]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[8,6,1,3,4,2,5,7]=>[1,3,8,6,5,7,4,2]=>[2,1,3,8,6,5,7,4]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[8,3,2,5,1,6,4,7]=>[1,6,7,4,8,3,5,2]=>[2,1,7,5,8,3,4,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,3,2,7,4,1,8,6]=>[4,6,7,2,5,8,1,3]=>[8,5,1,2,6,3,4,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,5,3,8,2,4,6,1]=>[2,4,6,1,7,5,3,8]=>[5,2,8,3,7,4,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,2,4,5,8,3,6,1]=>[2,7,5,4,1,6,3,8]=>[6,2,8,5,4,7,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[2,4,5,3,7,1,8,6]=>[7,5,4,6,2,8,1,3]=>[8,6,1,4,3,5,2,7]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[8,2,4,5,6,1,3,7]=>[1,7,5,4,3,8,6,2]=>[2,1,6,5,4,8,3,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[8,1,2,4,5,6,3,7]=>[1,8,7,5,4,3,6,2]=>[2,1,7,6,5,8,4,3]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[8,2,5,1,3,6,4,7]=>[1,7,4,8,6,3,5,2]=>[2,1,7,4,8,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[8,5,6,2,1,4,3,7]=>[1,4,3,7,8,5,6,2]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,5,3,6,4,1,2,7]=>[1,4,6,3,5,8,7,2]=>[2,1,5,3,6,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,4,1,5,6,3,2,7]=>[1,5,8,4,3,6,7,2]=>[2,1,6,5,3,7,8,4]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[4,5,3,7,2,1,8,6]=>[5,4,6,2,7,8,1,3]=>[8,5,1,3,2,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,3,6,7,2,8,5,1]=>[5,6,3,2,7,1,4,8]=>[7,5,4,8,2,3,6,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,4,3,6,7,2,8,5]=>[8,5,6,3,2,7,1,4]=>[8,6,5,1,3,4,7,2]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[4,1,5,3,7,2,8,6]=>[5,8,4,6,2,7,1,3]=>[8,6,1,4,2,5,7,3]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[5,3,4,7,1,2,8,6]=>[4,6,5,2,8,7,1,3]=>[8,5,1,2,4,3,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[7,5,8,2,1,4,6,3]=>[2,4,1,7,8,5,3,6]=>[4,2,8,3,7,1,5,6]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[7,5,3,8,4,1,6,2]=>[2,4,6,1,5,8,3,7]=>[5,2,8,3,6,4,1,7]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[1,6,4,7,8,3,5,2]=>[8,3,5,2,1,6,4,7]=>[6,5,3,8,4,7,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[3,5,6,7,8,4,1,2]=>[6,4,3,2,1,5,8,7]=>[6,5,4,3,7,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[3,1,5,6,7,8,4,2]=>[6,8,4,3,2,1,5,7]=>[7,6,5,4,8,2,1,3]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[4,6,1,7,8,3,5,2]=>[5,3,8,2,1,6,4,7]=>[6,5,3,8,2,7,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,6,7,1,4,8,5,2]=>[6,3,2,8,5,1,4,7]=>[7,4,3,8,6,2,1,5]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[6,2,4,1,7,8,5,3]=>[3,7,5,8,2,1,4,6]=>[7,6,2,8,4,1,3,5]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[4,3,6,7,8,1,2,5]=>[5,6,3,2,1,8,7,4]=>[6,5,4,1,2,3,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[3,5,6,7,8,2,1,4]=>[6,4,3,2,1,7,8,5]=>[6,5,4,3,1,2,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,5,6,7,8,2,4,1]=>[6,4,3,2,1,7,5,8]=>[6,5,4,3,8,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[5,2,7,1,3,8,4,6]=>[4,7,2,8,6,1,5,3]=>[7,4,1,2,8,6,3,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[5,3,1,7,8,2,4,6]=>[4,6,8,2,1,7,5,3]=>[6,5,1,2,8,3,7,4]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,2,6,7,8,3,5,1]=>[5,7,3,2,1,6,4,8]=>[6,5,4,8,2,7,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[3,6,2,7,4,8,5,1]=>[6,3,7,2,5,1,4,8]=>[7,5,3,8,6,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,2,1,6,4,7,8,5]=>[6,7,8,3,5,2,1,4]=>[8,7,5,1,6,2,3,4]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,7,4,2,1,5,8,6]=>[6,2,5,7,8,4,1,3]=>[8,3,1,7,4,2,5,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[1,7,3,4,2,5,8,6]=>[8,2,6,5,7,4,1,3]=>[8,3,1,7,5,4,6,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[4,7,2,1,3,5,8,6]=>[5,2,7,8,6,4,1,3]=>[8,3,1,7,2,6,4,5]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,8,1,3,4,2,6,5]=>[2,1,8,6,5,7,3,4]=>[3,2,8,1,6,5,7,4]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[7,8,3,4,2,1,6,5]=>[2,1,6,5,7,8,3,4]=>[3,2,8,1,5,4,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,6,2,7,1,8,5,4]=>[6,3,7,2,8,1,4,5]=>[7,5,3,8,1,2,4,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[2,6,4,7,8,1,5,3]=>[7,3,5,2,1,8,4,6]=>[6,5,3,8,4,1,2,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[4,6,2,7,8,1,5,3]=>[5,3,7,2,1,8,4,6]=>[6,5,3,8,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[7,4,5,8,6,2,1,3]=>[2,5,4,1,3,7,8,6]=>[5,2,6,4,3,1,7,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[7,4,1,5,8,6,2,3]=>[2,5,8,4,1,3,7,6]=>[6,2,7,5,3,1,8,4]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[7,5,8,2,1,6,3,4]=>[2,4,1,7,8,3,6,5]=>[4,2,7,3,1,8,5,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,1,2,6,7,8,4,3]=>[4,8,7,3,2,1,5,6]=>[7,6,5,2,8,1,4,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,2,6,7,8,4,1,3]=>[4,7,3,2,1,5,8,6]=>[6,5,4,2,7,1,3,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[5,2,6,7,8,4,3,1]=>[4,7,3,2,1,5,6,8]=>[6,5,4,2,7,8,3,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[2,5,6,7,8,4,1,3]=>[7,4,3,2,1,5,8,6]=>[6,5,4,3,7,1,2,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,6,4,7,8,5,2,3]=>[8,3,5,2,1,4,7,6]=>[6,5,3,7,4,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,6,7,1,3,8,5,4]=>[7,3,2,8,6,1,4,5]=>[7,4,3,8,1,6,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[6,7,8,2,1,5,4,3]=>[3,2,1,7,8,4,5,6]=>[4,3,2,7,8,1,5,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,7,3,8,5,1,4,2]=>[3,2,6,1,4,8,5,7]=>[5,3,2,6,8,4,1,7]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[4,5,2,3,7,6,1,8]=>[5,4,7,6,2,3,8,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,4,3,7,2,5,1,8]=>[3,5,6,2,7,4,8,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[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]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[4,6,2,7,3,5,1,8]=>[5,3,7,2,6,4,8,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,6,7,4,5,1,8]=>[6,7,3,2,5,4,8,1]=>[1,5,4,7,6,2,3,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,7,2,6,5,3,1,8]=>[5,2,7,3,4,6,8,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,7,6,2,4,3,1,8]=>[4,2,3,7,5,6,8,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,7,5,4,8,3,6,2]=>[8,2,4,5,1,6,3,7]=>[6,3,8,4,5,7,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[6,8,5,4,2,1,3,7]=>[3,1,4,5,7,8,6,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,8,6,2,4,1,3,7]=>[4,1,3,7,5,8,6,2]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,8,2,6,5,1,3,7]=>[5,1,7,3,4,8,6,2]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,8,6,5,1,4,7]=>[6,7,1,3,4,8,5,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,1,2,6,5,8,7,3]=>[5,8,7,3,4,1,2,6]=>[7,8,5,6,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,1,6,2,4,8,7,3]=>[4,8,3,7,5,1,2,6]=>[7,8,4,2,6,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,1,5,4,2,8,7,3]=>[3,8,4,5,7,1,2,6]=>[7,8,2,4,5,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[7,1,5,4,8,2,6,3]=>[2,8,4,5,1,7,3,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,1,5,4,7,6,2,3]=>[1,8,4,5,2,3,7,6]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[1,8,6,7,4,5,3,2]=>[8,1,3,2,5,4,6,7]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,1,6,7,4,5,2,3]=>[1,8,3,2,5,4,7,6]=>[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[7,1,6,8,4,2,5,3]=>[2,8,3,1,5,7,4,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[6,1,7,8,2,4,5,3]=>[3,8,2,1,7,5,4,6]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[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]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,2,1,7,8,5,6,4]=>[6,7,8,2,1,4,3,5]=>[6,5,8,7,1,2,3,4]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[3,2,8,7,1,5,4,6]=>[6,7,1,2,8,4,5,3]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[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]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[6,8,7,1,2,4,3,5]=>[3,1,2,8,7,5,6,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[7,8,6,1,4,2,3,5]=>[2,1,3,8,5,7,6,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,7,6,8,4,3,5,2]=>[8,2,3,1,5,6,4,7]=>[5,3,4,8,6,7,1,2]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[1,6,7,8,3,4,5,2]=>[8,3,2,1,6,5,4,7]=>[5,4,3,8,7,6,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[8,6,7,1,3,4,2,5]=>[1,3,2,8,6,5,7,4]=>[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[7,6,8,1,3,2,4,5]=>[2,3,1,8,6,7,5,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[5,7,8,2,1,3,4,6]=>[4,2,1,7,8,6,5,3]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[4,7,2,8,1,3,5,6]=>[5,2,7,1,8,6,4,3]=>[5,3,1,8,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,2,6,8,4,1,5,7]=>[6,7,3,1,5,8,4,2]=>[5,1,4,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,6,2,8,3,1,5,7]=>[5,3,7,1,6,8,4,2]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,6,8,2,3,1,4,7]=>[4,3,1,7,6,8,5,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[6,5,8,3,2,1,4,7]=>[3,4,1,6,7,8,5,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,5,8,3,1,2,4,6]=>[2,4,1,6,8,7,5,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,8,5,7,3]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[1,5,7,3,8,4,6,2]=>[8,4,2,6,1,5,3,7]=>[6,4,8,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,4,3,7,8,5,6,2]=>[8,5,6,2,1,4,3,7]=>[6,5,8,7,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[8,4,3,7,1,5,2,6]=>[1,5,6,2,8,4,7,3]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,4,3,8,2,1,5,7]=>[3,5,6,1,7,8,4,2]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,3,8,1,6,7]=>[5,4,7,6,1,8,3,2]=>[6,1,8,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,2,5,4,8,1,6,7]=>[6,7,4,5,1,8,3,2]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,5,2,3,1,8,7,6]=>[5,4,7,6,8,1,2,3]=>[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,4,3,1,2,8,7,5]=>[3,5,6,8,7,1,2,4]=>[7,8,2,1,3,4,6,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[7,4,3,1,8,2,6,5]=>[2,5,6,8,1,7,3,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[8,4,3,1,7,6,2,5]=>[1,5,6,8,2,3,7,4]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[1,5,8,3,7,6,4,2]=>[8,4,1,6,2,3,5,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[8,5,1,3,7,6,2,4]=>[1,4,8,6,2,3,7,5]=>[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[7,5,1,3,8,2,6,4]=>[2,4,8,6,1,7,3,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[6,5,1,3,2,8,7,4]=>[3,4,8,6,7,1,2,5]=>[7,8,2,3,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[5,6,1,2,3,8,7,4]=>[4,3,8,7,6,1,2,5]=>[7,8,3,2,1,6,5,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[4,6,2,1,3,8,7,5]=>[5,3,7,8,6,1,2,4]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[3,2,6,1,4,8,7,5]=>[6,7,3,8,5,1,2,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,2,7,1,8,4,6,5]=>[6,7,2,8,1,5,3,4]=>[6,4,8,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,7,2,1,8,3,6,5]=>[5,2,7,8,1,6,3,4]=>[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[5,7,1,2,8,3,6,4]=>[4,2,8,7,1,6,3,5]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[6,7,1,8,2,3,5,4]=>[3,2,8,1,7,6,4,5]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[7,6,1,8,3,2,5,4]=>[2,3,8,1,6,7,4,5]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[8,6,1,7,3,5,2,4]=>[1,3,8,2,6,4,7,5]=>[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,6,8,7,3,5,4,2]=>[8,3,1,2,6,4,5,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[1,7,8,6,5,3,4,2]=>[8,2,1,3,4,6,5,7]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>[2,3,5,6,1,7,8,4]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,8,1,6,5,2,3,4]=>[2,1,8,3,4,7,6,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,8,1,7,2,5,3,4]=>[3,1,8,2,7,4,6,5]=>[3,5,2,7,1,8,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[5,8,1,2,7,6,3,4]=>[4,1,8,7,2,3,6,5]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[4,8,2,1,7,6,3,5]=>[5,1,7,8,2,3,6,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,2,8,1,7,6,4,5]=>[6,7,1,8,2,3,5,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,1,2,8,7,6,5,3]=>[5,8,7,1,2,3,4,6]=>[5,6,7,8,2,1,4,3]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[5,1,8,2,7,6,4,3]=>[4,8,1,7,2,3,5,6]=>[4,6,7,2,8,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,1,8,7,2,5,4,3]=>[3,8,1,2,7,4,5,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[7,1,8,6,5,2,4,3]=>[2,8,1,3,4,7,5,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[8,1,7,6,5,4,2,3]=>[1,8,2,3,4,5,7,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[3,1,2,6,5,8,7,4]=>[6,8,7,3,4,1,2,5]=>[7,8,5,6,1,2,4,3]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,1,6,2,4,8,7,5]=>[6,8,3,7,5,1,2,4]=>[7,8,4,1,6,2,5,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,1,5,2,4,8,7,6]=>[6,8,4,7,5,1,2,3]=>[7,8,1,4,6,2,5,3]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,5,1,2,3,8,7,6]=>[5,4,8,7,6,1,2,3]=>[7,8,1,3,2,6,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[1,6,5,3,4,8,7,2]=>[8,3,4,6,5,1,2,7]=>[7,8,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[6,1,5,2,4,8,7,3]=>[3,8,4,7,5,1,2,6]=>[7,8,2,4,6,1,5,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[6,4,1,2,3,8,7,5]=>[3,5,8,7,6,1,2,4]=>[7,8,2,1,3,6,5,4]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[5,4,1,2,3,8,7,6]=>[4,5,8,7,6,1,2,3]=>[7,8,1,2,3,6,5,4]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[5,4,1,2,7,3,6,8]=>[4,5,8,7,2,6,3,1]=>[1,6,8,2,3,7,5,4]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[7,4,1,2,8,3,6,5]=>[2,5,8,7,1,6,3,4]=>[6,2,8,1,3,7,5,4]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[7,1,5,2,8,4,6,3]=>[2,8,4,7,1,5,3,6]=>[6,2,8,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,7,5,3,8,4,6,2]=>[8,2,4,6,1,5,3,7]=>[6,3,8,4,7,5,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[1,8,5,3,7,4,6,2]=>[8,1,4,6,2,5,3,7]=>[3,6,8,4,7,5,1,2]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[8,1,5,2,7,4,6,3]=>[1,8,4,7,2,5,3,6]=>[2,6,8,4,7,1,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[8,5,1,2,7,3,6,4]=>[1,4,8,7,2,6,3,5]=>[2,6,8,3,1,7,5,4]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[8,4,1,2,7,3,6,5]=>[1,5,8,7,2,6,3,4]=>[2,6,8,1,3,7,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[7,4,1,6,2,3,5,8]=>[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[8,6,1,7,2,3,5,4]=>[1,3,8,2,7,6,4,5]=>[2,5,3,8,1,7,6,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,8,6,7,3,4,5,2]=>[8,1,3,2,6,5,4,7]=>[3,5,4,8,7,6,1,2]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[1,7,6,8,3,4,5,2]=>[8,2,3,1,6,5,4,7]=>[5,3,4,8,7,6,1,2]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[4,7,1,2,8,3,6,5]=>[5,2,8,7,1,6,3,4]=>[6,3,8,1,2,7,5,4]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,1,7,2,8,4,6,5]=>[6,8,2,7,1,5,3,4]=>[6,4,8,1,7,2,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,1,2,7,8,5,6,4]=>[6,8,7,2,1,4,3,5]=>[6,5,8,7,1,2,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,4,3,8,7,5,6,2]=>[8,5,6,1,2,4,3,7]=>[5,6,8,7,3,4,1,2]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[4,1,2,8,7,5,6,3]=>[5,8,7,1,2,4,3,6]=>[5,6,8,7,2,1,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[3,1,2,8,7,5,6,4]=>[6,8,7,1,2,4,3,5]=>[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[3,1,8,2,7,4,6,5]=>[6,8,1,7,2,5,3,4]=>[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,1,8,7,2,4,5,6]=>[6,8,1,2,7,5,4,3]=>[4,5,1,8,7,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,7,6,2,4,5,8]=>[6,8,2,3,7,5,4,1]=>[1,4,5,8,7,2,6,3]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[4,8,1,7,2,3,5,6]=>[5,1,8,2,7,6,4,3]=>[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,8,1,2,7,3,6,5]=>[5,1,8,7,2,6,3,4]=>[3,6,8,1,2,7,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[5,1,8,2,7,4,6,3]=>[4,8,1,7,2,5,3,6]=>[4,6,8,2,7,1,5,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[1,5,8,3,7,4,6,2]=>[8,4,1,6,2,5,3,7]=>[4,6,8,3,7,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[1,6,8,7,3,4,5,2]=>[8,3,1,2,6,5,4,7]=>[4,5,3,8,7,6,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[6,8,1,7,2,3,5,4]=>[3,1,8,2,7,6,4,5]=>[3,5,2,8,1,7,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,8,7,1,2,3,4,5]=>[3,1,2,8,7,6,5,4]=>[3,4,2,1,8,7,6,5]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[5,8,7,1,2,3,4,6]=>[4,1,2,8,7,6,5,3]=>[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[1,7,8,6,3,4,5,2]=>[8,2,1,3,6,5,4,7]=>[4,3,5,8,7,6,1,2]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[1,8,7,6,3,4,5,2]=>[8,1,2,3,6,5,4,7]=>[3,4,5,8,7,6,1,2]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[3,2,5,1,6,4,8,7]=>[6,7,4,8,3,5,1,2]=>[8,1,6,4,7,2,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,4,7,1,8,6]=>[6,7,4,5,2,8,1,3]=>[8,6,1,4,5,2,3,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,3,7,1,8,6]=>[5,7,4,6,2,8,1,3]=>[8,6,1,4,2,5,3,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,2,5,3,6,1,8,7]=>[5,7,4,6,3,8,1,2]=>[8,1,6,4,2,5,3,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,1,6,3,8,7]=>[5,7,4,8,3,6,1,2]=>[8,1,6,4,2,7,3,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,4,6,2,8,7]=>[6,8,4,5,3,7,1,2]=>[8,1,6,4,5,2,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,1,5,3,6,2,8,7]=>[5,8,4,6,3,7,1,2]=>[8,1,6,4,2,5,7,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[4,3,5,1,6,2,8,7]=>[5,6,4,8,3,7,1,2]=>[8,1,6,4,2,3,7,5]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,3,5,2,7,1,8,6]=>[5,6,4,7,2,8,1,3]=>[8,6,1,4,2,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,3,6,2,7,1,8,5]=>[5,6,3,7,2,8,1,4]=>[8,6,4,1,2,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,3,6,1,7,2,8,5]=>[5,6,3,8,2,7,1,4]=>[8,6,4,1,2,3,7,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[4,3,5,1,7,2,8,6]=>[5,6,4,8,2,7,1,3]=>[8,6,1,4,2,3,7,5]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[2,1,5,4,7,3,8,6]=>[7,8,4,5,2,6,1,3]=>[8,6,1,4,5,7,2,3]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[4,3,6,1,7,5,8,2]=>[5,6,3,8,2,4,1,7]=>[8,6,4,7,2,3,1,5]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[5,1,6,3,7,4,8,2]=>[4,8,3,6,2,5,1,7]=>[8,6,4,2,7,5,1,3]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,1,6,3,7,5,8,2]=>[5,8,3,6,2,4,1,7]=>[8,6,4,7,2,5,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,1,6,4,7,5,8,2]=>[6,8,3,5,2,4,1,7]=>[8,6,4,7,5,2,1,3]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[2,1,6,4,7,5,8,3]=>[7,8,3,5,2,4,1,6]=>[8,6,4,7,5,1,2,3]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,1,6,4,7,3,8,5]=>[7,8,3,5,2,6,1,4]=>[8,6,4,1,5,7,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,1,6,4,7,2,8,5]=>[6,8,3,5,2,7,1,4]=>[8,6,4,1,5,2,7,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,1,6,3,7,2,8,5]=>[5,8,3,6,2,7,1,4]=>[8,6,4,1,2,5,7,3]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[5,3,6,1,7,2,8,4]=>[4,6,3,8,2,7,1,5]=>[8,6,4,2,1,3,7,5]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[5,3,6,2,7,1,8,4]=>[4,6,3,7,2,8,1,5]=>[8,6,4,2,1,3,5,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[5,3,6,2,7,4,8,1]=>[4,6,3,7,2,5,1,8]=>[8,6,4,2,7,3,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[5,2,6,3,7,4,8,1]=>[4,7,3,6,2,5,1,8]=>[8,6,4,2,7,5,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[5,2,6,3,7,1,8,4]=>[4,7,3,6,2,8,1,5]=>[8,6,4,2,1,5,3,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[4,2,5,1,7,3,8,6]=>[5,7,4,8,2,6,1,3]=>[8,6,1,4,2,7,3,5]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,2,6,1,7,3,8,5]=>[5,7,3,8,2,6,1,4]=>[8,6,4,1,2,7,3,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[3,2,6,4,7,5,8,1]=>[6,7,3,5,2,4,1,8]=>[8,6,4,7,5,2,3,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,2,6,4,7,1,8,5]=>[6,7,3,5,2,8,1,4]=>[8,6,4,1,5,2,3,7]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,2,6,1,7,4,8,5]=>[6,7,3,8,2,5,1,4]=>[8,6,4,1,7,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,2,4,1,7,5,8,6]=>[6,7,5,8,2,4,1,3]=>[8,6,1,7,4,2,3,5]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,1,4,2,7,6,8,5]=>[6,8,5,7,2,3,1,4]=>[8,6,7,1,4,2,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,5,7,1,8,4]=>[6,7,3,4,2,8,1,5]=>[8,6,4,5,1,2,3,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[4,2,6,1,7,5,8,3]=>[5,7,3,8,2,4,1,6]=>[8,6,4,7,2,1,3,5]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[4,2,5,1,7,6,8,3]=>[5,7,4,8,2,3,1,6]=>[8,6,7,4,2,1,3,5]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[3,1,5,2,7,6,8,4]=>[6,8,4,7,2,3,1,5]=>[8,6,7,4,1,2,5,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[2,1,6,3,7,5,8,4]=>[7,8,3,6,2,4,1,5]=>[8,6,4,7,1,5,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[5,4,6,2,7,1,8,3]=>[4,5,3,7,2,8,1,6]=>[8,6,4,2,3,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[5,4,6,1,7,2,8,3]=>[4,5,3,8,2,7,1,6]=>[8,6,4,2,3,1,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,1,6,5,7,3,8,4]=>[7,8,3,4,2,6,1,5]=>[8,6,4,5,1,7,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,1,6,5,7,3,8,2]=>[5,8,3,4,2,6,1,7]=>[8,6,4,5,2,7,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[5,4,6,1,7,3,8,2]=>[4,5,3,8,2,6,1,7]=>[8,6,4,2,3,7,1,5]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[5,4,6,3,7,1,8,2]=>[4,5,3,6,2,8,1,7]=>[8,6,4,2,3,5,1,7]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[8,3,5,2,1,6,4,7]=>[1,6,4,7,8,3,5,2]=>[2,1,7,4,8,3,5,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,5,2,4,1,8,6]=>[6,2,4,7,5,8,1,3]=>[8,3,1,4,6,2,5,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[8,3,7,5,2,4,6,1]=>[1,6,2,4,7,5,3,8]=>[2,4,8,5,7,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,2,4,5,7,3,6,1]=>[1,7,5,4,2,6,3,8]=>[2,6,8,5,4,7,3,1]=>[[.,[[[[.,[.,.]],.],[.,.]],.]],.]
[8,2,5,4,6,1,3,7]=>[1,7,4,5,3,8,6,2]=>[2,1,6,4,5,8,3,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,1,5,6,4,3,2,7]=>[1,8,4,3,5,6,7,2]=>[2,1,5,4,6,7,8,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[5,7,4,3,2,1,8,6]=>[4,2,5,6,7,8,1,3]=>[8,3,1,2,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,6,8,3,2,7,5,1]=>[5,3,1,6,7,2,4,8]=>[4,7,3,8,2,5,6,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[4,7,6,3,2,8,1,5]=>[5,2,3,6,7,1,8,4]=>[7,3,4,1,2,5,6,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,6,7,3,2,8,5]=>[8,5,3,2,6,7,1,4]=>[8,5,4,1,3,6,7,2]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[5,4,7,3,1,8,2,6]=>[4,5,2,6,8,1,7,3]=>[7,4,1,2,3,5,8,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[1,7,4,5,3,2,8,6]=>[8,2,5,4,6,7,1,3]=>[8,3,1,5,4,6,7,2]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[5,7,4,2,1,3,8,6]=>[4,2,5,7,8,6,1,3]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,3,7,5,1,4,6,2]=>[1,6,2,4,8,5,3,7]=>[2,4,8,5,7,3,1,6]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]
[4,6,3,8,7,1,5,2]=>[5,3,6,1,2,8,4,7]=>[5,6,3,8,2,4,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,7,4,8,6,3,5,2]=>[8,2,5,1,3,6,4,7]=>[5,3,6,8,4,7,1,2]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[8,4,7,6,3,5,2,1]=>[1,5,2,3,6,4,7,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,1,5,8,6,7,4,2]=>[6,8,4,1,3,2,5,7]=>[5,7,6,4,8,2,1,3]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[3,6,4,1,8,7,5,2]=>[6,3,5,8,1,2,4,7]=>[6,7,3,8,4,2,1,5]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[3,7,1,6,4,8,2,5]=>[6,2,8,3,5,1,7,4]=>[7,3,5,1,6,2,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,6,8,5,7,2,4,1]=>[6,3,1,4,2,7,5,8]=>[4,6,3,5,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[2,3,5,7,6,8,1,4]=>[7,6,4,2,3,1,8,5]=>[7,5,6,4,1,3,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,1,6,5,7,8,3,4]=>[7,8,3,4,2,1,6,5]=>[7,6,4,5,1,8,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,2,7,6,8,3,1,5]=>[5,7,2,3,1,6,8,4]=>[6,4,5,1,2,7,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[4,2,6,8,7,3,5,1]=>[5,7,3,1,2,6,4,8]=>[5,6,4,8,2,7,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,8,2,4,6,7,5,1]=>[6,1,7,5,3,2,4,8]=>[3,7,6,8,5,2,4,1]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[3,7,2,6,4,8,1,5]=>[6,2,7,3,5,1,8,4]=>[7,3,5,1,6,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,1,4,7,8,5]=>[6,7,3,8,5,2,1,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,3,7,2,1,8,4,6]=>[4,6,2,7,8,1,5,3]=>[7,4,1,2,8,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,7,3,2,1,5,8,6]=>[5,2,6,7,8,4,1,3]=>[8,3,1,7,2,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,7,6,1,3,4,2,5]=>[1,2,3,8,6,5,7,4]=>[2,3,4,1,7,6,8,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]=>[2,4,8,3,1,5,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[3,7,8,6,2,1,5,4]=>[6,2,1,3,7,8,4,5]=>[4,3,5,8,1,2,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,7,4,8,1,6,5,3]=>[7,2,5,1,8,3,4,6]=>[5,3,7,8,4,1,2,6]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[4,6,8,2,1,7,5,3]=>[5,3,1,7,8,2,4,6]=>[4,7,3,8,2,1,5,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[8,4,1,5,7,2,6,3]=>[1,5,8,4,2,7,3,6]=>[2,6,8,5,3,1,7,4]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[8,5,3,7,1,6,2,4]=>[1,4,6,2,8,3,7,5]=>[2,5,7,3,1,4,8,6]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[8,5,7,2,1,3,6,4]=>[1,4,2,7,8,6,3,5]=>[2,4,8,3,1,7,5,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[8,2,6,7,1,3,5,4]=>[1,7,3,2,8,6,4,5]=>[2,5,4,8,1,7,3,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,3,6,1,7,5,2,4]=>[1,6,3,8,2,4,7,5]=>[2,6,4,7,1,3,8,5]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,2,6,5,7,4,1,3]=>[1,7,3,4,2,5,8,6]=>[2,6,4,5,7,1,3,8]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,1,7,8,5,6,4,3]=>[7,8,2,1,4,3,5,6]=>[5,4,7,6,8,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[8,2,5,7,6,4,3,1]=>[1,7,4,2,3,5,6,8]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[2,7,8,6,1,3,5,4]=>[7,2,1,3,8,6,4,5]=>[4,3,5,8,1,7,2,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]=>[2,3,4,6,8,5,1,7]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]
[8,4,7,6,5,1,3,2]=>[1,5,2,3,4,8,6,7]=>[2,4,5,6,3,8,1,7]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[8,7,1,5,6,4,3,2]=>[1,2,8,4,3,5,6,7]=>[2,3,6,5,7,8,1,4]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,5,3,7,2,1,4,6]=>[1,4,6,2,7,8,5,3]=>[2,5,1,3,8,4,6,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,8,1,4,5,7,3,2]=>[3,1,8,5,4,2,6,7]=>[3,7,2,6,5,8,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,6,2,4,5,1,8,7]=>[6,3,7,5,4,8,1,2]=>[8,1,3,6,5,2,4,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[6,1,2,4,5,3,8,7]=>[3,8,7,5,4,6,1,2]=>[8,1,2,6,5,7,4,3]=>[[.,.],[.,[[[[.,.],[.,.]],.],.]]]
[6,3,1,4,5,2,8,7]=>[3,6,8,5,4,7,1,2]=>[8,1,2,6,5,3,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[3,1,6,4,5,2,8,7]=>[6,8,3,5,4,7,1,2]=>[8,1,4,6,5,2,7,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[5,8,7,4,2,6,3,1]=>[4,1,2,5,7,3,6,8]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,8,7,4,1,6,3,5]=>[7,1,2,5,8,3,6,4]=>[3,4,7,1,5,8,2,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,6,8,5,7,3,4]=>[7,8,3,1,4,2,6,5]=>[5,7,4,6,1,8,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,1,8,4,7,6,2,3]=>[4,8,1,5,2,3,7,6]=>[4,6,7,2,5,1,8,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,4,8,3,5,6,7,1]=>[7,5,1,6,4,3,2,8]=>[4,8,7,6,3,5,2,1]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]
[8,4,1,3,5,6,7,2]=>[1,5,8,6,4,3,2,7]=>[2,8,7,6,3,5,1,4]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[6,5,3,8,4,1,7,2]=>[3,4,6,1,5,8,2,7]=>[5,8,2,3,6,4,1,7]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,1,5,8,4,6,7,3]=>[7,8,4,1,5,3,2,6]=>[5,8,7,4,6,1,2,3]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[2,1,4,8,3,6,7,5]=>[7,8,5,1,6,3,2,4]=>[5,8,7,1,4,6,2,3]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,4,3,8,2,1,7,5]=>[3,5,6,1,7,8,2,4]=>[5,8,2,1,3,4,6,7]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[3,1,8,2,5,6,7,4]=>[6,8,1,7,4,3,2,5]=>[4,8,7,6,1,2,5,3]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,8,1,5,6,7,4]=>[7,6,1,8,4,3,2,5]=>[4,8,7,6,1,3,2,5]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[4,3,8,2,5,6,7,1]=>[5,6,1,7,4,3,2,8]=>[4,8,7,6,2,3,5,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[3,8,2,1,5,6,7,4]=>[6,1,7,8,4,3,2,5]=>[3,8,7,6,1,2,4,5]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[8,1,2,3,5,6,7,4]=>[1,8,7,6,4,3,2,5]=>[2,8,7,6,1,5,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[6,8,3,2,4,1,7,5]=>[3,1,6,7,5,8,2,4]=>[3,8,2,1,6,4,5,7]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,7,8,5,4,3,6]=>[7,8,2,1,4,5,6,3]=>[5,4,1,6,7,8,2,3]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[5,7,3,8,1,4,2,6]=>[4,2,6,1,8,5,7,3]=>[5,3,1,2,7,4,8,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[5,7,8,4,3,6,2,1]=>[4,2,1,5,6,3,7,8]=>[4,3,7,2,5,6,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,8,3,6,2,1,7,5]=>[5,1,6,3,7,8,2,4]=>[3,8,5,1,2,4,6,7]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[8,6,3,1,4,2,7,5]=>[1,3,6,8,5,7,2,4]=>[2,8,3,1,6,4,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,4,3,1,8,5,7,6]=>[7,5,6,8,1,4,2,3]=>[6,8,1,7,3,4,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,3,2,6,8,7,5]=>[5,8,6,7,3,1,2,4]=>[7,8,6,1,2,4,5,3]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[8,6,3,5,1,2,7,4]=>[1,3,6,4,8,7,2,5]=>[2,8,3,5,1,4,7,6]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[5,8,3,2,6,1,7,4]=>[4,1,6,7,3,8,2,5]=>[3,8,6,2,1,4,5,7]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[2,1,7,6,5,8,3,4]=>[7,8,2,3,4,1,6,5]=>[7,4,5,6,1,8,2,3]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,1,8,5,3,6,7,4]=>[7,8,1,4,6,3,2,5]=>[4,8,7,5,1,6,2,3]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,8,4,1,5,6,7,3]=>[7,1,5,8,4,3,2,6]=>[3,8,7,6,4,1,2,5]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[4,8,1,2,5,6,7,3]=>[5,1,8,7,4,3,2,6]=>[3,8,7,6,2,1,5,4]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[3,4,8,1,5,6,7,2]=>[6,5,1,8,4,3,2,7]=>[4,8,7,6,3,2,1,5]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[3,4,2,8,5,6,7,1]=>[6,5,7,1,4,3,2,8]=>[5,8,7,6,3,2,4,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[2,4,1,8,5,6,7,3]=>[7,5,8,1,4,3,2,6]=>[5,8,7,6,3,1,2,4]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[4,1,2,8,5,6,7,3]=>[5,8,7,1,4,3,2,6]=>[5,8,7,6,2,1,4,3]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[8,4,2,1,5,6,7,3]=>[1,5,7,8,4,3,2,6]=>[2,8,7,6,3,1,4,5]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[7,5,2,4,8,6,1,3]=>[2,4,7,5,1,3,8,6]=>[6,2,7,3,5,1,4,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[6,5,3,2,8,1,7,4]=>[3,4,6,7,1,8,2,5]=>[6,8,2,3,1,4,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,5,3,8,6,7,4]=>[7,8,4,6,1,3,2,5]=>[6,8,7,4,1,5,2,3]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[6,4,3,5,8,1,7,2]=>[3,5,6,4,1,8,2,7]=>[6,8,2,5,3,4,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[7,3,5,4,8,6,1,2]=>[2,6,4,5,1,3,8,7]=>[6,2,7,4,5,3,1,8]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[8,3,4,1,5,6,7,2]=>[1,6,5,8,4,3,2,7]=>[2,8,7,6,4,3,1,5]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[4,3,1,8,5,6,7,2]=>[5,6,8,1,4,3,2,7]=>[5,8,7,6,2,3,1,4]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[3,1,4,8,5,6,7,2]=>[6,8,5,1,4,3,2,7]=>[5,8,7,6,4,2,1,3]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[6,5,3,7,2,8,4,1]=>[3,4,6,2,7,1,5,8]=>[7,5,2,3,8,4,6,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[5,1,7,4,8,6,3,2]=>[4,8,2,5,1,3,6,7]=>[6,4,7,2,5,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[5,6,3,7,1,8,4,2]=>[4,3,6,2,8,1,5,7]=>[7,5,3,2,8,4,1,6]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[3,7,5,4,8,6,2,1]=>[6,2,4,5,1,3,7,8]=>[6,3,7,4,5,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,7,1,4,8,6,2,3]=>[4,2,8,5,1,3,7,6]=>[6,3,7,2,5,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,6,3,1,8,2,7,4]=>[4,3,6,8,1,7,2,5]=>[6,8,3,2,1,4,7,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[4,6,3,8,1,2,7,5]=>[5,3,6,1,8,7,2,4]=>[5,8,3,1,2,4,7,6]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[3,7,8,4,1,6,2,5]=>[6,2,1,5,8,3,7,4]=>[4,3,7,1,5,2,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,1,6,8,4,7]=>[6,7,4,8,3,1,5,2]=>[7,1,6,4,8,2,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,2,4,7,1,8,6]=>[6,4,7,5,2,8,1,3]=>[8,6,1,3,5,2,4,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,2,5,8,3,7,6,1]=>[5,7,4,1,6,2,3,8]=>[5,7,8,4,2,6,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,4,2,1,6,8,3,7]=>[4,5,7,8,3,1,6,2]=>[7,1,6,2,3,8,4,5]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,5,1,4,8,2,7]=>[3,6,4,8,5,1,7,2]=>[7,1,2,4,6,3,8,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[5,1,6,4,3,8,2,7]=>[4,8,3,5,6,1,7,2]=>[7,1,4,2,5,6,8,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[5,4,3,2,7,1,8,6]=>[4,5,6,7,2,8,1,3]=>[8,6,1,2,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,3,6,2,8,7,5,1]=>[5,6,3,7,1,2,4,8]=>[6,7,4,8,2,3,5,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[4,3,7,6,2,1,8,5]=>[5,6,2,3,7,8,1,4]=>[8,4,5,1,2,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[7,5,4,3,1,8,2,6]=>[2,4,5,6,8,1,7,3]=>[7,2,1,3,4,5,8,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[2,8,5,7,4,6,1,3]=>[7,1,4,2,5,3,8,6]=>[3,5,7,4,6,1,2,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,5,8,7,1,4,6,2]=>[6,4,1,2,8,5,3,7]=>[4,5,8,3,7,2,1,6]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[1,4,5,8,7,3,6,2]=>[8,5,4,1,2,6,3,7]=>[5,6,8,4,3,7,1,2]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[4,3,7,1,8,6,5,2]=>[5,6,2,8,1,3,4,7]=>[6,4,7,8,2,3,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[4,8,3,7,6,5,2,1]=>[5,1,6,2,3,4,7,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,8,7,6,4,2,1]=>[4,6,1,2,3,5,7,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[6,2,7,3,8,4,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[4,6,1,8,7,3,5,2]=>[5,3,8,1,2,6,4,7]=>[5,6,3,8,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,8,7,3,1,4,5,2]=>[3,1,2,6,8,5,4,7]=>[3,4,2,8,7,5,1,6]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[7,3,1,6,8,4,2,5]=>[2,6,8,3,1,5,7,4]=>[6,2,5,1,7,3,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[6,3,4,1,5,7,8,2]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[5,7,1,6,3,2,8,4]=>[4,2,8,3,6,7,1,5]=>[8,3,5,2,1,6,7,4]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[6,1,7,5,3,2,8,4]=>[3,8,2,4,6,7,1,5]=>[8,4,2,5,1,6,7,3]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[7,6,5,3,2,1,8,4]=>[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,5,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[6,5,3,2,8,7,4,1]=>[3,4,6,7,1,2,5,8]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,2,6,3,8,7,4,1]=>[4,7,3,6,1,2,5,8]=>[6,7,4,2,8,5,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[5,2,7,6,3,1,8,4]=>[4,7,2,3,6,8,1,5]=>[8,4,5,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[6,5,2,1,7,3,8,4]=>[3,4,7,8,2,6,1,5]=>[8,6,2,3,1,7,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,7,2,6,3,1,8,5]=>[5,2,7,3,6,8,1,4]=>[8,3,5,1,2,6,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,4,8,6,3,7,5,1]=>[7,5,1,3,6,2,4,8]=>[4,7,5,8,3,6,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[3,8,6,2,4,7,5,1]=>[6,1,3,7,5,2,4,8]=>[3,7,4,8,6,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[4,3,7,8,2,1,5,6]=>[5,6,2,1,7,8,4,3]=>[5,4,1,8,2,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,3,7,1,4,6,2,5]=>[1,6,2,8,5,3,7,4]=>[2,4,7,1,6,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,8,2,5,7,1,6,4]=>[6,1,7,4,2,8,3,5]=>[3,6,8,5,1,2,4,7]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]=>[3,2,5,8,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[8,7,3,6,2,5,4,1]=>[1,2,6,3,7,4,5,8]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,7,8,2,1,6,5,3]=>[5,2,1,7,8,3,4,6]=>[4,3,7,8,2,1,5,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[4,2,6,8,1,7,5,3]=>[5,7,3,1,8,2,4,6]=>[5,7,4,8,2,1,3,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[4,8,1,5,7,2,6,3]=>[5,1,8,4,2,7,3,6]=>[3,6,8,5,2,1,7,4]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[5,8,3,7,1,6,2,4]=>[4,1,6,2,8,3,7,5]=>[3,5,7,2,1,4,8,6]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[5,8,7,2,6,1,3,4]=>[4,1,2,7,3,8,6,5]=>[3,4,6,2,1,8,5,7]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[8,6,2,7,5,1,3,4]=>[1,3,7,2,4,8,6,5]=>[2,5,3,6,1,8,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,6,8,1,7,5,2,4]=>[6,3,1,8,2,4,7,5]=>[4,6,3,7,1,2,8,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[5,7,2,3,8,1,4,6]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[5,2,7,1,8,6,4,3]=>[4,7,2,8,1,3,5,6]=>[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,8,2,7,6,4,3,1]=>[4,1,7,2,3,5,6,8]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,6,2,1,8,5,4,3]=>[2,3,7,8,1,4,5,6]=>[6,2,3,7,8,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]=>[2,3,5,7,4,8,1,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]=>[2,4,6,3,7,8,1,5]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[4,2,5,6,7,8,1,3]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,3,7,6,1,8]=>[4,5,7,6,2,3,8,1]=>[1,6,7,2,3,5,4,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,2,7,3,5,1,8]=>[3,5,7,2,6,4,8,1]=>[1,5,2,7,3,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,2,6,3,5,1,8]=>[2,5,7,3,6,4,8,1]=>[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,4,2,6,3,1,5,7]=>[1,5,7,3,6,8,4,2]=>[2,1,5,8,3,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,7,6,4,5,1,8]=>[6,7,2,3,5,4,8,1]=>[1,4,5,7,6,2,3,8]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[4,7,2,6,3,5,1,8]=>[5,2,7,3,6,4,8,1]=>[1,3,5,7,2,6,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,6,5,2,3,8,4,7]=>[8,3,4,7,6,1,5,2]=>[7,1,3,4,8,6,5,2]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]
[1,7,5,2,8,3,4,6]=>[8,2,4,7,1,6,5,3]=>[6,3,1,4,8,7,5,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[6,8,5,2,3,1,4,7]=>[3,1,4,7,6,8,5,2]=>[3,1,2,4,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[3,2,8,6,4,1,5,7]=>[6,7,1,3,5,8,4,2]=>[4,1,5,8,6,2,3,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[3,2,1,6,4,8,5,7]=>[6,7,8,3,5,1,4,2]=>[7,1,5,8,6,2,3,4]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[7,1,5,2,8,3,4,6]=>[2,8,4,7,1,6,5,3]=>[6,2,1,4,8,7,5,3]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[8,1,6,7,2,3,4,5]=>[1,8,3,2,7,6,5,4]=>[2,5,4,1,8,7,6,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,2,1,7,8,4,5,6]=>[6,7,8,2,1,5,4,3]=>[6,5,1,8,7,2,3,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,2,8,7,1,4,5,6]=>[6,7,1,2,8,5,4,3]=>[4,5,1,8,7,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[5,8,7,2,1,3,4,6]=>[4,1,2,7,8,6,5,3]=>[3,4,1,2,8,7,5,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[6,5,8,2,3,1,4,7]=>[3,4,1,7,6,8,5,2]=>[4,1,2,3,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[8,5,7,2,1,3,4,6]=>[1,4,2,7,8,6,5,3]=>[2,4,1,3,8,7,5,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[5,4,2,3,8,1,6,7]=>[4,5,7,6,1,8,3,2]=>[6,1,8,2,3,5,4,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,2,5,4,1,8,6,7]=>[6,7,4,5,8,1,3,2]=>[7,1,8,4,5,2,3,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,5,2,3,1,8,6,7]=>[5,4,7,6,8,1,3,2]=>[7,1,8,3,2,5,4,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,4,2,1,3,8,5,7]=>[3,5,7,8,6,1,4,2]=>[7,1,2,8,3,6,4,5]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[8,4,2,1,7,3,5,6]=>[1,5,7,8,2,6,4,3]=>[2,6,1,8,3,7,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,5,8,2,7,3,4,6]=>[8,4,1,7,2,6,5,3]=>[4,6,1,3,8,7,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[8,5,1,2,7,3,4,6]=>[1,4,8,7,2,6,5,3]=>[2,6,1,3,8,7,5,4]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[6,2,1,3,8,7,5,4]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[6,5,1,2,3,8,4,7]=>[3,4,8,7,6,1,5,2]=>[7,1,2,3,8,6,5,4]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[4,6,2,1,3,8,5,7]=>[5,3,7,8,6,1,4,2]=>[7,1,3,8,2,6,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,6,1,4,8,5,7]=>[6,7,3,8,5,1,4,2]=>[7,1,4,8,6,2,3,5]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[4,7,2,1,8,3,5,6]=>[5,2,7,8,1,6,4,3]=>[6,3,1,8,2,7,4,5]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,6,8,7,2,3,4,5]=>[8,3,1,2,7,6,5,4]=>[4,5,3,1,8,7,6,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[7,8,1,6,2,3,4,5]=>[2,1,8,3,7,6,5,4]=>[3,2,5,1,8,7,6,4]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[6,8,1,7,2,3,4,5]=>[3,1,8,2,7,6,5,4]=>[3,5,2,1,8,7,6,4]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[3,2,1,8,7,4,5,6]=>[6,7,8,1,2,5,4,3]=>[5,6,1,8,7,2,3,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[6,1,8,7,2,3,4,5]=>[3,8,1,2,7,6,5,4]=>[4,5,2,1,8,7,6,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>[3,4,5,1,8,7,6,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[8,3,7,5,2,1,4,6]=>[1,6,2,4,7,8,5,3]=>[2,4,1,5,8,3,6,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,3,7,5,1,8,4,2]=>[3,6,2,4,8,1,5,7]=>[7,4,2,5,8,3,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[8,5,2,7,4,1,3,6]=>[1,4,7,2,5,8,6,3]=>[2,5,1,3,6,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[2,6,1,5,4,3,8,7]=>[7,3,8,4,5,6,1,2]=>[8,1,3,5,6,7,2,4]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,1,2,8,7]=>[3,5,6,4,8,7,1,2]=>[8,1,2,5,3,4,7,6]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,3,1,4,6,2,8,7]=>[4,6,8,5,3,7,1,2]=>[8,1,6,2,5,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,1,4,7,2,6,3,5]=>[1,8,5,2,7,3,6,4]=>[2,5,7,1,4,8,6,3]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[3,4,7,8,5,2,1,6]=>[6,5,2,1,4,7,8,3]=>[5,4,1,6,3,2,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,8,2,4,6,7,3,1]=>[4,1,7,5,3,2,6,8]=>[3,7,6,2,5,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[7,5,4,8,1,6,3,2]=>[2,4,5,1,8,3,6,7]=>[5,2,7,3,4,8,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,6,8,2,7,3]=>[4,8,5,3,1,7,2,6]=>[6,8,5,2,4,1,7,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,5,4,6,7,1,8,3]=>[7,4,5,3,2,8,1,6]=>[8,6,5,3,4,1,2,7]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[4,1,6,3,8,5,7,2]=>[5,8,3,6,1,4,2,7]=>[6,8,4,7,2,5,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,7,4,2,8,6,5,1]=>[6,2,5,7,1,3,4,8]=>[6,3,7,8,4,2,5,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[7,4,1,3,5,8,6,2]=>[2,5,8,6,4,1,3,7]=>[7,2,8,6,3,5,1,4]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,1,4,8,3,7,6,5]=>[7,8,5,1,6,2,3,4]=>[5,7,8,1,4,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,3,1,2,5,7,6,4]=>[1,6,8,7,4,2,3,5]=>[2,7,8,6,1,3,5,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,1,8,2,7,6,5,4]=>[6,8,1,7,2,3,4,5]=>[4,6,7,8,1,2,5,3]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[2,3,8,1,6,7,5,4]=>[7,6,1,8,3,2,4,5]=>[4,7,6,8,1,3,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,7,2,3,8,5,6,1]=>[5,2,7,6,1,4,3,8]=>[6,3,8,7,2,5,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[2,8,1,3,6,5,7,4]=>[7,1,8,6,3,4,2,5]=>[3,8,6,7,1,5,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,7,1,6,3,4,2,5]=>[1,2,8,3,6,5,7,4]=>[2,3,5,1,7,6,8,4]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[3,8,6,7,2,4,1,5]=>[6,1,3,2,7,5,8,4]=>[3,5,4,1,7,2,6,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[4,5,8,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,3,6,1,4,2,7,5]=>[1,6,3,8,5,7,2,4]=>[2,8,4,1,6,3,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,3,4,1,8,5,7,6]=>[7,6,5,8,1,4,2,3]=>[6,8,1,7,4,3,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,1,3,2,6,7,8,5]=>[5,8,6,7,3,2,1,4]=>[8,7,6,1,2,4,5,3]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[8,3,5,6,2,7,1,4]=>[1,6,4,3,7,2,8,5]=>[2,7,5,4,1,3,6,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[5,3,6,1,8,7,2,4]=>[4,6,3,8,1,2,7,5]=>[6,7,4,2,1,3,8,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[5,6,2,8,7,4,1,3]=>[4,3,7,1,2,5,8,6]=>[5,6,3,2,7,1,4,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[7,8,5,6,1,4,2,3]=>[2,1,4,3,8,5,7,6]=>[3,2,5,4,7,1,8,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,1,6,4,5,7,2,3]=>[1,8,3,5,4,2,7,6]=>[2,7,4,6,5,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,1,8,6,5,7,3,4]=>[7,8,1,3,4,2,6,5]=>[4,7,5,6,1,8,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,1,7,5,3,6,8,4]=>[7,8,2,4,6,3,1,5]=>[8,4,7,5,1,6,2,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,7,3,5,2,1,8,4]=>[3,2,6,4,7,8,1,5]=>[8,3,2,5,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[7,1,4,2,5,6,8,3]=>[2,8,5,7,4,3,1,6]=>[8,2,7,6,4,1,5,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[4,1,2,5,8,6,7,3]=>[5,8,7,4,1,3,2,6]=>[6,8,7,5,2,1,4,3]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[8,5,2,4,6,1,7,3]=>[1,4,7,5,3,8,2,6]=>[2,8,6,3,5,1,4,7]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[4,3,1,5,7,6,8,2]=>[5,6,8,4,2,3,1,7]=>[8,6,7,5,2,3,1,4]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[3,1,4,5,6,8,7,2]=>[6,8,5,4,3,1,2,7]=>[7,8,6,5,4,2,1,3]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[6,5,2,1,4,3,8,7]=>[3,4,7,8,5,6,1,2]=>[8,1,2,3,6,7,4,5]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[6,5,2,7,4,8,3,1]=>[3,4,7,2,5,1,6,8]=>[7,5,2,3,6,8,4,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[6,3,7,5,2,8,4,1]=>[3,6,2,4,7,1,5,8]=>[7,4,2,5,8,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[3,1,6,5,4,2,8,7]=>[6,8,3,4,5,7,1,2]=>[8,1,4,5,6,2,7,3]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,7,2,3,4,8,5,1]=>[3,2,7,6,5,1,4,8]=>[7,3,2,8,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[8,7,2,3,4,1,6,5]=>[1,2,7,6,5,8,3,4]=>[2,3,8,1,6,5,4,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,1,7,3,8,4,6,2]=>[4,8,2,6,1,5,3,7]=>[6,4,8,2,7,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,5,7,3,8,6,4,1]=>[7,4,2,6,1,3,5,8]=>[6,4,7,3,8,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[3,6,7,4,1,8,5,2]=>[6,3,2,5,8,1,4,7]=>[7,4,3,8,5,2,1,6]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[2,1,6,7,4,8,5,3]=>[7,8,3,2,5,1,4,6]=>[7,5,4,8,6,1,2,3]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,1,8,7,4,3,6,5]=>[7,8,1,2,5,6,3,4]=>[4,5,8,1,6,7,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,8,7,4,1,2,6,5]=>[6,1,2,5,8,7,3,4]=>[3,4,8,1,5,2,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,8,1,3,5,2,6,4]=>[2,1,8,6,4,7,3,5]=>[3,2,8,6,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,8,6,3,1,5,7,4]=>[7,1,3,6,8,4,2,5]=>[3,8,4,7,1,5,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,1,6,3,2,5,4,7]=>[1,8,3,6,7,4,5,2]=>[2,1,4,7,8,5,6,3]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]
[2,8,4,1,6,3,7,5]=>[7,1,5,8,3,6,2,4]=>[3,8,6,1,4,7,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,8,3,5,2,7,4,1]=>[3,1,6,4,7,2,5,8]=>[3,7,2,5,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,1,5,3,8,7,6,4]=>[7,8,4,6,1,2,3,5]=>[6,7,8,4,1,5,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[6,5,3,2,8,7,1,4]=>[3,4,6,7,1,2,8,5]=>[6,7,2,3,1,4,5,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[7,5,2,4,8,1,6,3]=>[2,4,7,5,1,8,3,6]=>[6,2,8,3,5,1,4,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,4,2,8,5,7,6,1]=>[6,5,7,1,4,2,3,8]=>[5,7,8,6,3,2,4,1]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[2,4,1,8,7,6,5,3]=>[7,5,8,1,2,3,4,6]=>[5,6,7,8,3,1,2,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[8,4,2,1,7,5,3,6]=>[1,5,7,8,2,4,6,3]=>[2,6,1,7,3,8,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,1,8,6,7,5,2]=>[5,6,8,1,3,2,4,7]=>[5,7,6,8,2,3,1,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[3,1,4,8,6,5,7,2]=>[6,8,5,1,3,4,2,7]=>[5,8,6,7,4,2,1,3]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[3,7,5,6,8,4,2,1]=>[6,2,4,3,1,5,7,8]=>[6,3,5,4,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[6,7,3,2,1,8,4,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[4,6,2,5,8,3,7,1]=>[5,3,7,4,1,6,2,8]=>[6,8,3,5,2,7,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,5,2,6,3,8,1,4]=>[2,4,7,3,6,1,8,5]=>[7,2,5,3,1,6,4,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,8,3,4,6,1]=>[2,4,7,1,6,5,3,8]=>[5,2,8,3,7,6,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[4,7,2,8,1,5,3,6]=>[5,2,7,1,8,4,6,3]=>[5,3,1,7,2,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,7,2,1,4,5,6,3]=>[1,2,7,8,5,4,3,6]=>[2,3,8,7,6,1,4,5]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[5,7,8,6,3,4,1,2]=>[4,2,1,3,6,5,8,7]=>[4,3,5,2,7,6,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[7,1,8,5,4,3,6,2]=>[2,8,1,4,5,6,3,7]=>[4,2,8,5,6,7,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[2,7,8,4,5,3,6,1]=>[7,2,1,5,4,6,3,8]=>[4,3,8,6,5,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[2,1,7,8,5,4,6,3]=>[7,8,2,1,4,5,3,6]=>[5,4,8,6,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[8,4,1,3,7,2,6,5]=>[1,5,8,6,2,7,3,4]=>[2,6,8,1,3,5,7,4]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,3,8,1,4,6,7,5]=>[7,6,1,8,5,3,2,4]=>[4,8,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[4,3,8,2,5,1,7,6]=>[5,6,1,7,4,8,2,3]=>[4,8,1,6,2,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,3,8,4,2,5,7,1]=>[3,6,1,5,7,4,2,8]=>[4,8,2,7,5,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,4,3,8,2,5,1,6]=>[2,5,6,1,7,4,8,3]=>[5,2,1,7,3,4,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,1,4,8,3,5,7,6]=>[7,8,5,1,6,4,2,3]=>[5,8,1,7,4,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,8,2,1,4,6,5,7]=>[6,1,7,8,5,3,4,2]=>[3,1,7,8,6,2,4,5]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,8,7,6,1,4,3,5]=>[7,1,2,3,8,5,6,4]=>[3,4,5,1,7,8,2,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,5,8,6,1,4,2,3]=>[2,4,1,3,8,5,7,6]=>[4,2,5,3,7,1,8,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,5,7,2,4,1,6,8]=>[6,4,2,7,5,8,3,1]=>[1,4,8,3,6,2,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,5,8,2,4,1,6,3]=>[2,4,1,7,5,8,3,6]=>[4,2,8,3,6,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,8,5,3,4,1,7,6]=>[7,1,4,6,5,8,2,3]=>[3,8,1,4,6,5,2,7]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,8,7,6,1,4,5,3]=>[7,1,2,3,8,5,4,6]=>[3,4,5,8,7,1,2,6]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[2,8,5,3,6,1,7,4]=>[7,1,4,6,3,8,2,5]=>[3,8,6,4,1,5,2,7]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[6,5,2,8,3,1,7,4]=>[3,4,7,1,6,8,2,5]=>[5,8,2,3,1,6,4,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,5,2,8,3,1,4,7]=>[3,4,7,1,6,8,5,2]=>[5,1,2,3,8,6,4,7]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[3,5,6,2,1,8,7,4]=>[6,4,3,7,8,1,2,5]=>[7,8,4,3,1,2,5,6]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[3,5,7,6,1,4,8,2]=>[6,4,2,3,8,5,1,7]=>[8,4,5,3,7,2,1,6]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[3,5,7,2,4,1,8,6]=>[6,4,2,7,5,8,1,3]=>[8,4,1,3,6,2,5,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[3,5,7,2,4,6,8,1]=>[6,4,2,7,5,3,1,8]=>[8,4,7,3,6,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[6,5,2,7,3,1,8,4]=>[3,4,7,2,6,8,1,5]=>[8,5,2,3,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[5,1,6,7,4,3,8,2]=>[4,8,3,2,5,6,1,7]=>[8,5,4,2,6,7,1,3]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[5,1,6,8,7,3,4,2]=>[4,8,3,1,2,6,5,7]=>[5,6,4,2,8,7,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[4,1,2,3,8,7,5,6]=>[5,8,7,6,1,2,4,3]=>[6,7,1,8,2,5,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,1,2,3,8,6,5,7]=>[5,8,7,6,1,3,4,2]=>[6,1,7,8,2,5,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,1,2,3,8,5,7,6]=>[5,8,7,6,1,4,2,3]=>[6,8,1,7,2,5,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[7,1,6,8,4,3,5,2]=>[2,8,3,1,5,6,4,7]=>[5,2,4,8,6,7,1,3]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[6,1,2,8,4,5,7,3]=>[3,8,7,1,5,4,2,6]=>[5,8,2,7,6,1,4,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[6,5,8,2,4,3,1,7]=>[3,4,1,7,5,6,8,2]=>[4,1,2,3,6,7,5,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,2,8,3,4,1,6]=>[2,4,7,1,6,5,8,3]=>[5,2,1,3,7,6,4,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[7,1,6,8,4,3,2,5]=>[2,8,3,1,5,6,7,4]=>[5,2,4,1,6,7,8,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[5,7,8,6,3,4,2,1]=>[4,2,1,3,6,5,7,8]=>[4,3,5,2,7,6,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[4,1,8,3,6,5,7,2]=>[5,8,1,6,3,4,2,7]=>[4,8,6,7,2,5,1,3]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[3,1,4,8,6,5,2,7]=>[6,8,5,1,3,4,7,2]=>[5,1,6,7,4,2,8,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[7,1,6,5,8,3,2,4]=>[2,8,3,4,1,6,7,5]=>[6,2,4,5,1,7,8,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[4,1,6,7,8,3,2,5]=>[5,8,3,2,1,6,7,4]=>[6,5,4,1,2,7,8,3]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[4,5,2,6,3,7,1,8]=>[5,4,7,3,6,2,8,1]=>[1,7,5,3,2,6,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,5,2,7,3,8,1,6]=>[5,4,7,2,6,1,8,3]=>[7,5,1,3,2,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,5,6,2,4,8,1,7]=>[6,4,3,7,5,1,8,2]=>[7,1,4,3,6,2,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,7,5,6,8,4,1,2]=>[6,2,4,3,1,5,8,7]=>[6,3,5,4,7,2,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[6,1,2,5,8,4,7,3]=>[3,8,7,4,1,5,2,6]=>[6,8,2,5,7,1,4,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>[7,8,1,6,2,5,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,1,2,3,7,8,6,5]=>[5,8,7,6,2,1,3,4]=>[7,6,8,1,2,5,4,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,1,2,6,8,5,7,3]=>[5,8,7,3,1,4,2,6]=>[6,8,5,7,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[4,1,2,5,6,8,7,3]=>[5,8,7,4,3,1,2,6]=>[7,8,6,5,2,1,4,3]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[4,5,2,6,3,7,8,1]=>[5,4,7,3,6,2,1,8]=>[8,7,5,3,2,6,4,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[7,8,5,6,1,4,3,2]=>[2,1,4,3,8,5,6,7]=>[3,2,5,4,7,8,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[7,8,4,2,1,5,3,6]=>[2,1,5,7,8,4,6,3]=>[3,2,1,7,4,8,5,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,4,1,2,5,7,3,8]=>[3,5,8,7,4,2,6,1]=>[1,7,2,6,3,8,5,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,3,1,4,7,2,5,8]=>[3,6,8,5,2,7,4,1]=>[1,6,2,8,5,3,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[7,8,3,4,5,1,6,2]=>[2,1,6,5,4,8,3,7]=>[3,2,8,6,5,4,1,7]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[7,8,3,5,4,2,1,6]=>[2,1,6,4,5,7,8,3]=>[3,2,1,5,6,4,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[7,8,4,1,2,3,6,5]=>[2,1,5,8,7,6,3,4]=>[3,2,8,1,4,7,6,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[3,2,5,6,7,4,1,8]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[7,8,2,6,4,1,3,5]=>[2,1,7,3,5,8,6,4]=>[3,2,5,1,6,8,4,7]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,8,2,5,6,4,1,3]=>[2,1,7,4,3,5,8,6]=>[3,2,6,5,7,1,4,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]=>[3,2,5,6,7,8,1,4]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[6,2,1,7,5,4,3,8]=>[3,7,8,2,4,5,6,1]=>[1,5,2,6,7,8,3,4]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[2,1,8,7,5,4,3,6]=>[7,8,1,2,4,5,6,3]=>[4,5,1,6,7,8,2,3]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[1,3,8,2,6,4,7,5]=>[8,6,1,7,3,5,2,4]=>[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[5,3,7,1,6,4,8,2]=>[4,6,2,8,3,5,1,7]=>[8,4,6,2,7,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[5,3,6,2,7,4,1,8]=>[4,6,3,7,2,5,8,1]=>[1,6,4,2,7,3,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,1,2,5,8,7,4,3]=>[3,8,7,4,1,2,5,6]=>[6,7,2,5,8,1,4,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[6,4,2,1,5,3,8,7]=>[3,5,7,8,4,6,1,2]=>[8,1,2,6,3,7,4,5]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,7,1,5,3,6,8]=>[7,5,2,8,4,6,3,1]=>[1,4,8,6,3,7,2,5]=>[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]
[2,1,7,5,6,8,4,3]=>[7,8,2,4,3,1,5,6]=>[7,4,6,5,8,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,7,2,8,6,4,1,5]=>[6,2,7,1,3,5,8,4]=>[5,3,6,1,7,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,8,1,7,6,4,5,2]=>[6,1,8,2,3,5,4,7]=>[3,5,6,8,7,2,1,4]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]
[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[3,5,7,4,8,6,1,2]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[2,7,5,8,3,6,1,4]=>[7,2,4,1,6,3,8,5]=>[5,3,7,4,1,6,2,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,5,6,8,2,4,7,3]=>[8,4,3,1,7,5,2,6]=>[5,8,4,3,7,1,6,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,6,8,5,3,1,4,7]=>[7,3,1,4,6,8,5,2]=>[4,1,3,5,8,6,2,7]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,1,4,7,3,5,8]=>[7,3,8,5,2,6,4,1]=>[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,5,6,7,2,8,1,3]=>[5,4,3,2,7,1,8,6]=>[7,5,4,3,2,1,6,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[4,5,7,6,1,8,3,2]=>[5,4,2,3,8,1,6,7]=>[7,4,5,3,2,8,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,5,8,6,2,7,3,4]=>[8,4,1,3,7,2,6,5]=>[4,7,5,3,1,8,6,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[5,8,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[5,1,6,3,4,2,8,7]=>[4,8,3,6,5,7,1,2]=>[8,1,4,2,6,5,7,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,7,1,4,2,3,8,6]=>[4,2,8,5,7,6,1,3]=>[8,3,1,2,5,7,6,4]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]
[6,1,3,4,5,8,7,2]=>[3,8,6,5,4,1,2,7]=>[7,8,2,6,5,4,1,3]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[5,1,4,2,7,6,8,3]=>[4,8,5,7,2,3,1,6]=>[8,6,7,2,4,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,6,2,4,7,8,3,5]=>[8,3,7,5,2,1,6,4]=>[7,6,3,1,5,8,4,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[5,7,2,4,1,6,3,8]=>[4,2,7,5,8,3,6,1]=>[1,3,7,2,5,8,4,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,1,4,2,8,5,3,7]=>[3,8,5,7,1,4,6,2]=>[6,1,2,7,4,8,5,3]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[6,7,5,8,1,4,3,2]=>[3,2,4,1,8,5,6,7]=>[5,3,2,4,7,8,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[5,8,7,6,3,4,1,2]=>[4,1,2,3,6,5,8,7]=>[3,4,5,2,7,6,1,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[5,8,7,6,2,3,1,4]=>[4,1,2,3,7,6,8,5]=>[3,4,5,2,1,7,6,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,2,7,8,1,6,3,5]=>[5,7,2,1,8,3,6,4]=>[5,4,7,1,2,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,1,8,7,6,5,3,4]=>[7,8,1,2,3,4,6,5]=>[4,5,6,7,1,8,2,3]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,4,7,8,2,6,5]=>[6,8,5,2,1,7,3,4]=>[6,5,8,1,4,2,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,5,6,8,2]=>[6,8,2,5,4,3,1,7]=>[8,4,7,6,5,2,1,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[4,8,1,2,5,3,7,6]=>[5,1,8,7,4,6,2,3]=>[3,8,1,6,2,7,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[3,8,5,6,1,4,7,2]=>[6,1,4,3,8,5,2,7]=>[3,8,5,4,7,2,1,6]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[5,3,7,8,2,1,6,4]=>[4,6,2,1,7,8,3,5]=>[5,4,8,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[4,5,7,2,8,1,3,6]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[4,5,3,6,8,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,7,8,5,1,2,4,6]=>[6,2,1,4,8,7,5,3]=>[4,3,1,5,8,2,7,6]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,7,1,6,4,2,5,8]=>[6,2,8,3,5,7,4,1]=>[1,3,5,8,6,2,7,4]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[4,7,8,6,3,5,1,2]=>[5,2,1,3,6,4,8,7]=>[4,3,5,7,2,6,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]=>[3,4,5,6,7,2,1,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,7,6,5,3,4,8]=>[7,8,2,3,4,6,5,1]=>[1,4,5,6,8,7,2,3]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[2,8,1,6,4,5,3,7]=>[7,1,8,3,5,4,6,2]=>[3,1,5,7,6,8,2,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,7,5,1,4,3,6]=>[7,1,2,4,8,5,6,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,8,6,7,5,1,3,4]=>[7,1,3,2,4,8,6,5]=>[3,5,4,6,1,8,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,7,8,6,5,4,1,3]=>[7,2,1,3,4,5,8,6]=>[4,3,5,6,7,1,2,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[6,3,1,2,7,4,8,5]=>[3,6,8,7,2,5,1,4]=>[8,6,2,1,7,3,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,4,2,5,1,3,8,6]=>[2,5,7,4,8,6,1,3]=>[8,2,1,5,3,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,5,3,6,1,7,2,4]=>[1,4,6,3,8,2,7,5]=>[2,7,5,3,1,4,8,6]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[7,3,6,2,4,8,1,5]=>[2,6,3,7,5,1,8,4]=>[7,2,4,1,6,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,1,2,5,8,6]=>[5,6,2,8,7,4,1,3]=>[8,4,1,7,2,3,6,5]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,7,1,4,8,5]=>[6,3,7,2,8,5,1,4]=>[8,5,3,1,7,2,4,6]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,3,6,7,1,2,8,4]=>[4,6,3,2,8,7,1,5]=>[8,5,4,2,1,3,7,6]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[6,3,7,4,1,2,8,5]=>[3,6,2,5,8,7,1,4]=>[8,4,2,1,5,3,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,7,1,5,2,3,8,6]=>[5,2,8,4,7,6,1,3]=>[8,3,1,5,2,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[3,7,5,1,2,4,8,6]=>[6,2,4,8,7,5,1,3]=>[8,3,1,4,7,2,6,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[7,6,4,2,3,8,1,5]=>[2,3,5,7,6,1,8,4]=>[7,2,3,1,4,6,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[4,7,6,3,8,1,2,5]=>[5,2,3,6,1,8,7,4]=>[6,3,4,1,2,5,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,7,4,2,3,8,1,6]=>[4,2,5,7,6,1,8,3]=>[7,3,1,2,4,6,5,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,1,4,8,2,5]=>[6,2,3,8,5,1,7,4]=>[7,3,4,1,6,2,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,7,2,6,1,8,3,4]=>[4,2,7,3,8,1,6,5]=>[7,3,5,2,1,8,4,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[6,4,7,5,2,8,1,3]=>[3,5,2,4,7,1,8,6]=>[7,4,2,5,3,1,6,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,8,4,3,7,1,2,5]=>[3,1,5,6,2,8,7,4]=>[3,6,2,1,4,5,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[6,8,5,3,7,1,2,4]=>[3,1,4,6,2,8,7,5]=>[3,6,2,4,1,5,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,8,5,7,1,2,4,6]=>[6,1,4,2,8,7,5,3]=>[3,5,1,4,8,2,7,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,8,5,7,1,3,4,6]=>[7,1,4,2,8,6,5,3]=>[3,5,1,4,8,7,2,6]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[6,3,7,5,8,1,2,4]=>[3,6,2,4,1,8,7,5]=>[6,4,2,5,1,3,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[2,7,6,4,8,1,3,5]=>[7,2,3,5,1,8,6,4]=>[6,3,4,1,5,8,2,7]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,6,5,8,1,2,4,7]=>[6,3,4,1,8,7,5,2]=>[5,1,3,4,8,2,7,6]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,5,7,4,8,1,3,6]=>[7,4,2,5,1,8,6,3]=>[6,4,1,3,5,8,2,7]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[5,4,6,7,2,8,1,3]=>[4,5,3,2,7,1,8,6]=>[7,5,4,2,3,1,6,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[7,4,6,3,8,1,2,5]=>[2,5,3,6,1,8,7,4]=>[6,2,4,1,3,5,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[8,4,6,3,7,1,2,5]=>[1,5,3,6,2,8,7,4]=>[2,6,4,1,3,5,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[8,4,1,6,7,2,3,5]=>[1,5,8,3,2,7,6,4]=>[2,6,5,1,3,8,7,4]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[7,4,1,6,8,2,3,5]=>[2,5,8,3,1,7,6,4]=>[6,2,5,1,3,8,7,4]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,4,1,7,8,2,3,6]=>[4,5,8,2,1,7,6,3]=>[6,5,1,2,3,8,7,4]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[6,5,3,7,1,8,2,4]=>[3,4,6,2,8,1,7,5]=>[7,5,2,3,1,4,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[5,3,6,4,7,8,1,2]=>[4,6,3,5,2,1,8,7]=>[7,6,4,2,5,3,1,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[6,3,7,4,8,5,1,2]=>[3,6,2,5,1,4,8,7]=>[6,4,2,7,5,3,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[4,7,1,5,8,6,2,3]=>[5,2,8,4,1,3,7,6]=>[6,3,7,5,2,1,8,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[8,6,1,7,5,2,3,4]=>[1,3,8,2,4,7,6,5]=>[2,5,3,6,1,8,7,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[5,7,2,8,1,6,3,4]=>[4,2,7,1,8,3,6,5]=>[5,3,7,2,1,8,4,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[6,3,7,8,5,1,2,4]=>[3,6,2,1,4,8,7,5]=>[5,4,2,6,1,3,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,3,8,7,1,2,5,6]=>[5,6,1,2,8,7,4,3]=>[4,5,1,8,2,3,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,3,8,7,1,2,4,6]=>[4,6,1,2,8,7,5,3]=>[4,5,1,2,8,3,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,3,7,6,1,2,4,5]=>[1,6,2,3,8,7,5,4]=>[2,4,5,1,8,3,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,4,7,6,1,2,3,5]=>[1,5,2,3,8,7,6,4]=>[2,4,5,1,3,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[5,4,8,7,1,2,3,6]=>[4,5,1,2,8,7,6,3]=>[4,5,1,2,3,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[2,5,8,7,1,3,4,6]=>[7,4,1,2,8,6,5,3]=>[4,5,1,3,8,7,2,6]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[7,5,8,6,4,1,2,3]=>[2,4,1,3,5,8,7,6]=>[4,2,5,3,6,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,8,4,7,5,1,2,3]=>[3,1,5,2,4,8,7,6]=>[3,5,2,6,4,1,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[5,8,7,1,6,2,3,4]=>[4,1,2,8,3,7,6,5]=>[3,4,6,2,1,8,7,5]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[2,8,7,6,1,3,4,5]=>[7,1,2,3,8,6,5,4]=>[3,4,5,1,8,7,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,8,7,6,1,2,4,5]=>[6,1,2,3,8,7,5,4]=>[3,4,5,1,8,2,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,7,6,1,2,3,5]=>[5,1,2,3,8,7,6,4]=>[3,4,5,1,2,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[5,6,3,1,4,2,8,7]=>[4,3,6,8,5,7,1,2]=>[8,1,3,2,6,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,8,7,4,5,1,6,2]=>[6,1,2,5,4,8,3,7]=>[3,4,8,6,5,2,1,7]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]
[6,7,1,4,5,8,2,3]=>[3,2,8,5,4,1,7,6]=>[7,3,2,6,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,7,8,5,3,6,4]=>[7,8,2,1,4,6,3,5]=>[5,4,8,6,1,7,2,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,7,3,8,1,2,6,4]=>[4,2,6,1,8,7,3,5]=>[5,3,8,2,1,4,7,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[2,7,8,4,1,6,5,3]=>[7,2,1,5,8,3,4,6]=>[4,3,7,8,5,1,2,6]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[6,5,3,1,8,4,7,2]=>[3,4,6,8,1,5,2,7]=>[6,8,2,3,7,4,1,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[6,4,3,8,1,5,7,2]=>[3,5,6,1,8,4,2,7]=>[5,8,2,7,3,4,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,6,3,1,2,5,7,4]=>[1,3,6,8,7,4,2,5]=>[2,8,3,7,1,4,6,5]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,7,1,4,2,6,5,3]=>[1,2,8,5,7,3,4,6]=>[2,3,7,8,5,1,6,4]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]
[7,3,8,4,1,6,5,2]=>[2,6,1,5,8,3,4,7]=>[4,2,7,8,5,3,1,6]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]
[2,3,4,5,6,7,8,1,9]=>[8,7,6,5,4,3,2,9,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[2,4,5,6,7,8,9,1,3]=>[8,6,5,4,3,2,1,9,7]=>[8,7,6,5,4,3,1,2,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[3,4,5,6,7,8,9,1,2]=>[7,6,5,4,3,2,1,9,8]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[2,3,4,5,6,7,8,9,10,1]=>[9,8,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[2,3,4,5,6,7,8,9,1,10]=>[9,8,7,6,5,4,3,2,10,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,1,8,9]=>[8,7,6,5,4,3,9,2,1]=>[1,9,7,6,5,4,3,2,8]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[1,4,5,6,7,8,9,2,3]=>[9,6,5,4,3,2,1,8,7]=>[8,7,6,5,4,3,1,9,2]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[2,4,5,6,7,8,9,10,1,3]=>[9,7,6,5,4,3,2,1,10,8]=>[9,8,7,6,5,4,3,1,2,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]
[3,4,5,6,7,8,9,10,1,2]=>[8,7,6,5,4,3,2,1,10,9]=>[9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[3,6,4,5,7,2,8,1]=>[6,3,5,4,2,7,1,8]=>[8,6,3,5,4,2,7,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[5,3,2,7,4,6,8,1]=>[4,6,7,2,5,3,1,8]=>[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,3,2,5,1,8,4,7]=>[3,6,7,4,8,1,5,2]=>[7,1,2,5,8,3,4,6]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,2,6,3,4,7,1,5]=>[1,7,3,6,5,2,8,4]=>[2,7,4,1,6,5,3,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[7,2,6,3,4,5,8,1]=>[2,7,3,6,5,4,1,8]=>[8,2,4,7,6,5,3,1]=>[[[.,.],[[.,[[[.,.],.],.]],.]],.]
[3,6,2,7,4,5,8,1]=>[6,3,7,2,5,4,1,8]=>[8,5,3,7,6,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[4,2,5,7,3,6,8,1]=>[5,7,4,2,6,3,1,8]=>[8,5,7,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[3,7,6,2,4,5,8,1]=>[6,2,3,7,5,4,1,8]=>[8,3,4,7,6,2,5,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[2,7,6,3,4,5,8,1]=>[7,2,3,6,5,4,1,8]=>[8,3,4,7,6,5,2,1]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]
[5,7,3,1,2,8,4,6]=>[4,2,6,8,7,1,5,3]=>[7,3,1,2,8,4,6,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[5,6,2,3,1,8,4,7]=>[4,3,7,6,8,1,5,2]=>[7,1,3,2,8,5,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[6,8,3,5,2,7,1,4]=>[3,1,6,4,7,2,8,5]=>[3,7,2,5,1,4,6,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[7,8,5,2,3,6,1,4]=>[2,1,4,7,6,3,8,5]=>[3,2,7,4,1,6,5,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,8,1,7,3,4,5,6]=>[7,1,8,2,6,5,4,3]=>[3,5,1,8,7,6,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,8,6,1,7,2,4,5]=>[6,1,3,8,2,7,5,4]=>[3,6,4,1,8,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,1,7,5,8,2,3,6]=>[5,8,2,4,1,7,6,3]=>[6,4,1,5,2,8,7,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[6,3,7,1,2,8,4,5]=>[3,6,2,8,7,1,5,4]=>[7,4,2,1,8,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,3,1,5,8,2,4,6]=>[2,6,8,4,1,7,5,3]=>[6,2,1,5,8,3,7,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,2,1,5,8,4,6,7]=>[6,7,8,4,1,5,3,2]=>[6,1,8,5,7,2,3,4]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,1,3,6,8,2,7]=>[4,5,8,6,3,1,7,2]=>[7,1,6,2,3,5,8,4]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[1,5,3,4,6,8,2,7]=>[8,4,6,5,3,1,7,2]=>[7,1,6,3,5,4,8,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[4,3,5,1,6,8,2,7]=>[5,6,4,8,3,1,7,2]=>[7,1,6,4,2,3,8,5]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[5,4,6,3,8,7,1,2]=>[4,5,3,6,1,2,8,7]=>[6,7,4,2,3,5,1,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[5,3,2,8,7,1,4,6]=>[4,6,7,1,2,8,5,3]=>[5,6,1,2,8,3,4,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,3,1,8,7,2,4,6]=>[4,6,8,1,2,7,5,3]=>[5,6,1,2,8,3,7,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,5,3,7,6,1,2,4]=>[1,4,6,2,3,8,7,5]=>[2,5,6,3,1,4,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[6,1,8,3,7,2,4,5]=>[3,8,1,6,2,7,5,4]=>[4,6,2,1,8,5,7,3]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[6,3,8,1,7,2,4,5]=>[3,6,1,8,2,7,5,4]=>[4,6,2,1,8,3,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,7,3,8,2,5,1,4]=>[3,2,6,1,7,4,8,5]=>[5,3,2,7,1,4,6,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,7,8,1,6,2,4,5]=>[6,2,1,8,3,7,5,4]=>[4,3,6,1,8,2,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,2,8,6,1,3,4,5]=>[2,7,1,3,8,6,5,4]=>[4,2,5,1,8,7,3,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,3,8,7,2,4,5,6]=>[8,6,1,2,7,5,4,3]=>[4,5,1,8,7,3,6,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[1,7,8,3,6,2,4,5]=>[8,2,1,6,3,7,5,4]=>[4,3,6,1,8,5,7,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[5,4,8,7,6,1,2,3]=>[4,5,1,2,3,8,7,6]=>[4,5,6,2,3,1,8,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,8,3,7,5,1,2,4]=>[3,1,6,2,4,8,7,5]=>[3,5,2,6,1,4,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[8,1,6,7,3,2,4,5]=>[1,8,3,2,6,7,5,4]=>[2,5,4,1,8,6,7,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[8,1,5,3,6,2,4,7]=>[1,8,4,6,3,7,5,2]=>[2,1,6,4,8,5,7,3]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[7,5,1,3,6,2,4,8]=>[2,4,8,6,3,7,5,1]=>[1,2,6,3,8,5,7,4]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[7,5,8,3,6,2,4,1]=>[2,4,1,6,3,7,5,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,4,8,3,2,6,5,1]=>[2,5,1,6,7,3,4,8]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,4,1,3,2,6,5,8]=>[2,5,8,6,7,3,4,1]=>[1,2,7,8,3,5,6,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[8,1,4,3,2,7,6,5]=>[1,8,5,6,7,2,3,4]=>[2,7,8,1,4,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,1,5,3,6,2,7,4]=>[1,8,4,6,3,7,2,5]=>[2,8,6,4,1,5,7,3]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[8,1,4,3,2,6,7,5]=>[1,8,5,6,7,3,2,4]=>[2,8,7,1,4,5,6,3]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[7,4,8,3,2,5,6,1]=>[2,5,1,6,7,4,3,8]=>[4,2,8,7,3,5,6,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[6,4,3,8,2,5,7,1]=>[3,5,6,1,7,4,2,8]=>[5,8,2,7,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,4,3,1,2,5,8,7]=>[3,5,6,8,7,4,1,2]=>[8,1,2,7,3,4,6,5]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,4,1,3,2,5,8,6]=>[2,5,8,6,7,4,1,3]=>[8,2,1,7,3,5,6,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[7,5,1,3,6,2,8,4]=>[2,4,8,6,3,7,1,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[7,5,8,3,6,2,1,4]=>[2,4,1,6,3,7,8,5]=>[4,2,6,3,1,5,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[6,4,3,8,2,5,1,7]=>[3,5,6,1,7,4,8,2]=>[5,1,2,7,3,4,6,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,7,2,5,8,1]=>[3,5,6,2,7,4,1,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,4,3,2,8,6,1,7]=>[4,5,6,7,1,3,8,2]=>[6,1,7,2,3,4,5,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,3,2,8,7,1,6]=>[4,5,6,7,1,2,8,3]=>[6,7,1,2,3,4,5,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,7,8,2,3]=>[3,4,5,8,2,1,7,6]=>[7,6,2,3,4,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,4,3,1,2,7,8,5]=>[3,5,6,8,7,2,1,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[5,4,3,2,1,8,6,7]=>[4,5,6,7,8,1,3,2]=>[7,1,8,2,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,4,1,8,7,2,3]=>[3,4,5,8,1,2,7,6]=>[6,7,2,3,4,1,8,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[7,5,1,4,8,6,2,3]=>[2,4,8,5,1,3,7,6]=>[6,2,7,3,5,1,8,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,4,3,8,2,7,5,1]=>[3,5,6,1,7,2,4,8]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,5,3,8,7,2,4,1]=>[3,4,6,1,2,7,5,8]=>[5,6,2,3,8,4,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,5,3,1,8,2,4,7]=>[3,4,6,8,1,7,5,2]=>[6,1,2,3,8,4,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[7,5,1,3,8,2,4,6]=>[2,4,8,6,1,7,5,3]=>[6,2,1,3,8,5,7,4]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[7,6,1,8,3,2,4,5]=>[2,3,8,1,6,7,5,4]=>[5,2,3,1,8,6,7,4]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[7,6,1,8,4,5,2,3]=>[2,3,8,1,5,4,7,6]=>[5,2,3,7,6,1,8,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[7,6,8,1,4,5,2,3]=>[2,3,1,8,5,4,7,6]=>[4,2,3,7,6,1,8,5]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[6,5,3,7,8,2,4,1]=>[3,4,6,2,1,7,5,8]=>[6,5,2,3,8,4,7,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[6,4,3,7,2,8,5,1]=>[3,5,6,2,7,1,4,8]=>[7,5,2,8,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,4,3,7,2,1,5,8]=>[3,5,6,2,7,8,4,1]=>[1,5,2,8,3,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,4,8,3,2,1,5,6]=>[2,5,1,6,7,8,4,3]=>[4,2,1,8,3,5,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[7,4,8,3,2,1,6,5]=>[2,5,1,6,7,8,3,4]=>[4,2,8,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[5,4,3,2,8,1,7,6]=>[4,5,6,7,1,8,2,3]=>[6,8,1,2,3,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,4,3,7,2,1,8,5]=>[3,5,6,2,7,8,1,4]=>[8,5,2,1,3,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,4,3,2,7,8,1,6]=>[4,5,6,7,2,1,8,3]=>[7,6,1,2,3,4,5,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,2,6,8,1,7]=>[4,5,6,7,3,1,8,2]=>[7,1,6,2,3,4,5,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,2,1,3,4,8,7]=>[4,3,7,8,6,5,1,2]=>[8,1,3,2,7,6,4,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,8,2,7,4,1,3,6]=>[4,1,7,2,5,8,6,3]=>[3,5,1,2,6,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,3,7,8,2,1,4,6]=>[4,6,2,1,7,8,5,3]=>[5,4,1,2,8,3,6,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,1,7,8,4,3,5,6]=>[7,8,2,1,5,6,4,3]=>[5,4,1,8,6,7,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[8,3,7,4,1,5,6,2]=>[1,6,2,5,8,4,3,7]=>[2,4,8,7,5,3,1,6]=>[[.,[[.,[[[.,.],.],.]],.]],[.,.]]
[7,8,1,2,5,4,6,3]=>[2,1,8,7,4,5,3,6]=>[3,2,8,6,7,1,5,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,1,8,3,2,4,5,7]=>[3,8,1,6,7,5,4,2]=>[4,1,2,8,7,5,6,3]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[8,4,1,3,7,6,2,5]=>[1,5,8,6,2,3,7,4]=>[2,6,7,1,3,5,8,4]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,5,1,6,8,3,4,2]=>[2,4,8,3,1,6,5,7]=>[6,2,5,3,8,7,1,4]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[6,7,2,3,8,1,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[4,7,2,8,1,3,6,5]=>[5,2,7,1,8,6,3,4]=>[5,3,8,1,2,7,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,3,8,6,1,2,5,4]=>[2,6,1,3,8,7,4,5]=>[4,2,5,8,1,3,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,4,7,1,8,2,6,5]=>[6,5,2,8,1,7,3,4]=>[6,4,8,1,3,2,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[3,1,8,7,5,6,4,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[1,7,2,4,3,5,6,8]=>[8,2,7,5,6,4,3,1]=>[1,3,8,7,5,6,4,2]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[1,6,2,4,3,5,7,8]=>[8,3,7,5,6,4,2,1]=>[1,8,3,7,5,6,4,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[1,6,2,5,3,4,7,8]=>[8,3,7,4,6,5,2,1]=>[1,8,3,5,7,6,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[1,7,2,5,3,4,6,8]=>[8,2,7,4,6,5,3,1]=>[1,3,8,5,7,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,7,2,6,3,4,5,8]=>[8,2,7,3,6,5,4,1]=>[1,3,5,8,7,6,4,2]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[3,5,1,7,8,6,4,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[5,3,1,7,8,6,4,2]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]
[1,6,2,8,3,5,4,7]=>[8,3,7,1,6,4,5,2]=>[5,1,3,7,8,6,4,2]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]
[1,5,2,8,3,6,4,7]=>[8,4,7,1,6,3,5,2]=>[5,1,7,3,8,6,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,4,2,8,3,6,5,7]=>[8,5,7,1,6,3,4,2]=>[5,1,7,8,3,6,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,3,2,8,4,6,5,7]=>[8,6,7,1,5,3,4,2]=>[5,1,7,8,6,3,4,2]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[5,1,7,8,6,4,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[1,3,2,7,4,6,5,8]=>[8,6,7,2,5,3,4,1]=>[1,5,7,8,6,3,4,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]
[1,4,2,7,3,6,5,8]=>[8,5,7,2,6,3,4,1]=>[1,5,7,8,3,6,4,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,5,2,7,3,6,4,8]=>[8,4,7,2,6,3,5,1]=>[1,5,7,3,8,6,4,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[1,5,3,7,8,6,4,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[1,3,5,7,8,6,4,2]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]
[1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[3,1,5,7,8,6,4,2]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]
[1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[3,1,7,5,8,6,4,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]]
[1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[1,7,3,5,8,6,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[1,5,2,4,3,7,6,8]=>[8,4,7,5,6,2,3,1]=>[1,7,8,3,5,6,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[1,6,2,4,3,7,5,8]=>[8,3,7,5,6,2,4,1]=>[1,7,3,8,5,6,4,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[1,7,2,4,3,6,5,8]=>[8,2,7,5,6,3,4,1]=>[1,3,7,8,5,6,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]
[1,8,2,4,3,6,5,7]=>[8,1,7,5,6,3,4,2]=>[3,1,7,8,5,6,4,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[1,7,2,3,4,6,5,8]=>[8,2,7,6,5,3,4,1]=>[1,3,7,8,6,5,4,2]=>[.,[[.,[[[[.,[.,.]],.],.],.]],.]]
[1,8,2,3,4,7,5,6]=>[8,1,7,6,5,2,4,3]=>[3,7,1,8,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[1,8,2,4,3,7,5,6]=>[8,1,7,5,6,2,4,3]=>[3,7,1,8,5,6,4,2]=>[[.,[.,.]],[[[[.,.],[.,.]],.],.]]
[1,7,2,4,3,8,5,6]=>[8,2,7,5,6,1,4,3]=>[7,3,1,8,5,6,4,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[1,6,2,4,3,8,5,7]=>[8,3,7,5,6,1,4,2]=>[7,1,3,8,5,6,4,2]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[1,5,2,4,3,8,6,7]=>[8,4,7,5,6,1,3,2]=>[7,1,8,3,5,6,4,2]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[1,6,2,5,3,8,4,7]=>[8,3,7,4,6,1,5,2]=>[7,1,3,5,8,6,4,2]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]
[1,7,2,5,3,8,4,6]=>[8,2,7,4,6,1,5,3]=>[7,3,1,5,8,6,4,2]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]
[1,8,2,5,3,7,4,6]=>[8,1,7,4,6,2,5,3]=>[3,7,1,5,8,6,4,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[3,7,5,1,8,6,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[7,3,5,1,8,6,4,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[1,3,2,8,4,7,5,6]=>[8,6,7,1,5,2,4,3]=>[5,7,1,8,6,3,4,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[1,4,2,8,3,7,5,6]=>[8,5,7,1,6,2,4,3]=>[5,7,1,8,3,6,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[1,5,2,8,3,7,4,6]=>[8,4,7,1,6,2,5,3]=>[5,7,1,3,8,6,4,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[1,6,2,8,3,7,4,5]=>[8,3,7,1,6,2,5,4]=>[5,7,3,1,8,6,4,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[5,3,7,1,8,6,4,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[3,5,7,1,8,6,4,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[4,6,3,7,2,5,1,8]=>[5,3,6,2,7,4,8,1]=>[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,3,7,5,2,1,8]=>[5,3,6,2,4,7,8,1]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,3,8,5,1,7,2]=>[5,3,6,1,4,8,2,7]=>[5,8,3,6,2,4,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,6,3,8,5,1,2,7]=>[5,3,6,1,4,8,7,2]=>[5,1,3,6,2,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[5,6,8,3,4,1,2,7]=>[4,3,1,6,5,8,7,2]=>[4,1,3,2,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,2,7,5,3,1,8]=>[5,3,7,2,4,6,8,1]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,6,7,2,4,3,1,8]=>[4,3,2,7,5,6,8,1]=>[1,4,3,2,6,7,5,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[5,6,8,4,3,1,7,2]=>[4,3,1,5,6,8,2,7]=>[4,8,3,2,5,6,1,7]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[4,3,7,2,5,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,7,8,4,1,6,3,2]=>[4,2,1,5,8,3,6,7]=>[4,3,7,2,5,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[5,6,8,2,4,1,7,3]=>[4,3,1,7,5,8,2,6]=>[4,8,3,2,6,1,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[4,6,2,8,5,1,7,3]=>[5,3,7,1,4,8,2,6]=>[5,8,3,6,2,1,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[3,2,6,8,5,1,7,4]=>[6,7,3,1,4,8,2,5]=>[5,8,4,6,1,2,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,2,6,8,5,1,4,7]=>[6,7,3,1,4,8,5,2]=>[5,1,4,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,7,8,4,1,2,6,3]=>[4,2,1,5,8,7,3,6]=>[4,3,8,2,5,1,7,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[6,7,8,1,5,2,4,3]=>[3,2,1,8,4,7,5,6]=>[4,3,2,6,8,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,7,8,1,3,5,2,4]=>[3,2,1,8,6,4,7,5]=>[4,3,2,7,1,6,8,5]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[4,7,2,8,1,6,3,5]=>[5,2,7,1,8,3,6,4]=>[5,3,7,1,2,8,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,8,1,6,5,4]=>[6,7,2,1,8,3,4,5]=>[5,4,7,8,1,2,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[5,7,8,2,1,6,4,3]=>[4,2,1,7,8,3,5,6]=>[4,3,7,2,8,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[6,7,8,1,5,4,3,2]=>[3,2,1,8,4,5,6,7]=>[4,3,2,6,7,8,1,5]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[6,7,8,1,5,4,2,3]=>[3,2,1,8,4,5,7,6]=>[4,3,2,6,7,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,7,8,1,3,4,5,2]=>[3,2,1,8,6,5,4,7]=>[4,3,2,8,7,6,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[5,7,8,2,1,4,6,3]=>[4,2,1,7,8,5,3,6]=>[4,3,8,2,7,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[4,7,2,8,1,5,6,3]=>[5,2,7,1,8,4,3,6]=>[5,3,8,7,2,1,4,6]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[3,2,6,8,4,1,7,5]=>[6,7,3,1,5,8,2,4]=>[5,8,4,1,6,2,3,7]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,6,2,8,3,1,7,5]=>[5,3,7,1,6,8,2,4]=>[5,8,3,1,2,6,4,7]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[5,6,8,3,2,1,7,4]=>[4,3,1,6,7,8,2,5]=>[4,8,3,2,1,5,6,7]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[5,7,8,3,1,6,4,2]=>[4,2,1,6,8,3,5,7]=>[4,3,7,2,8,5,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[4,7,3,8,1,6,5,2]=>[5,2,6,1,8,3,4,7]=>[5,3,7,8,2,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[4,7,3,8,1,5,6,2]=>[5,2,6,1,8,4,3,7]=>[5,3,8,7,2,4,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[4,6,3,8,2,1,7,5]=>[5,3,6,1,7,8,2,4]=>[5,8,3,1,2,4,6,7]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,5,2,3,8,1,7,6]=>[5,4,7,6,1,8,2,3]=>[6,8,1,3,2,5,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,5,4,8,1,7,6]=>[6,7,4,5,1,8,2,3]=>[6,8,1,4,5,2,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,3,8,2,1,5,7]=>[5,3,6,1,7,8,4,2]=>[5,1,3,8,2,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,7,3,8,1,2,6,5]=>[5,2,6,1,8,7,3,4]=>[5,3,8,1,2,4,7,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[4,7,3,8,1,2,5,6]=>[5,2,6,1,8,7,4,3]=>[5,3,1,8,2,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,7,8,3,1,2,4,6]=>[4,2,1,6,8,7,5,3]=>[4,3,1,2,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[5,7,8,3,1,2,6,4]=>[4,2,1,6,8,7,3,5]=>[4,3,8,2,1,5,7,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[5,6,8,3,2,1,4,7]=>[4,3,1,6,7,8,5,2]=>[4,1,3,2,8,5,6,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,7,8,2,1,4,3,6]=>[4,2,1,7,8,5,6,3]=>[4,3,1,2,7,8,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[6,7,8,1,3,4,2,5]=>[3,2,1,8,6,5,7,4]=>[4,3,2,1,7,6,8,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[6,7,8,1,4,3,2,5]=>[3,2,1,8,5,6,7,4]=>[4,3,2,1,6,7,8,5]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[6,7,8,1,4,2,3,5]=>[3,2,1,8,5,7,6,4]=>[4,3,2,1,6,8,7,5]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[6,7,8,1,2,5,4,3]=>[3,2,1,8,7,4,5,6]=>[4,3,2,7,8,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,7,8,1,2,4,5,3]=>[3,2,1,8,7,5,4,6]=>[4,3,2,8,7,1,6,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[6,7,8,1,3,2,5,4]=>[3,2,1,8,6,7,4,5]=>[4,3,2,8,1,6,7,5]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[5,7,8,2,1,3,6,4]=>[4,2,1,7,8,6,3,5]=>[4,3,8,2,1,7,5,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[6,7,8,1,3,2,4,5]=>[3,2,1,8,6,7,5,4]=>[4,3,2,1,8,6,7,5]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[6,7,8,1,2,4,3,5]=>[3,2,1,8,7,5,6,4]=>[4,3,2,1,7,8,6,5]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[6,7,8,1,2,3,5,4]=>[3,2,1,8,7,6,4,5]=>[4,3,2,8,1,7,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[7,2,8,5,1,6,4,3]=>[2,7,1,4,8,3,5,6]=>[4,2,7,5,8,1,3,6]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,7,5,2,6,4,8]=>[8,6,2,4,7,3,5,1]=>[1,4,7,5,8,3,6,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]
[2,8,5,4,3,1,7,6]=>[7,1,4,5,6,8,2,3]=>[3,8,1,4,5,6,2,7]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,8,4,5,6,1,7,3]=>[7,1,5,4,3,8,2,6]=>[3,8,6,5,4,1,2,7]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[2,8,6,5,7,3,1,4]=>[7,1,3,4,2,6,8,5]=>[3,6,4,5,1,7,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,8,4,5,3,7,1,6]=>[7,1,5,4,6,2,8,3]=>[3,7,1,5,4,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,8,4,3,5,6,1,7]=>[7,1,5,6,4,3,8,2]=>[3,1,7,6,4,5,2,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[4,2,7,6,5,1,3,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[1,5,3,6,8,4,7,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[5,8,2,6,1,4,3,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,3,2,8,5,1,4,7]=>[3,6,7,1,4,8,5,2]=>[5,1,2,6,8,3,4,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,8,5,1,3,7,2]=>[3,5,1,4,8,6,2,7]=>[4,8,2,5,3,7,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,3,7,5,2,1,8,4]=>[3,6,2,4,7,8,1,5]=>[8,4,2,5,1,3,6,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[4,3,7,5,1,2,8,6]=>[5,6,2,4,8,7,1,3]=>[8,4,1,5,2,3,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[4,3,7,1,5,6,8,2]=>[5,6,2,8,4,3,1,7]=>[8,4,7,6,2,3,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,4,1,2,7,6,8,5]=>[6,5,8,7,2,3,1,4]=>[8,6,7,1,3,2,5,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,4,2,1,7,5,8,6]=>[6,5,7,8,2,4,1,3]=>[8,6,1,7,3,2,4,5]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[6,5,2,7,4,1,8,3]=>[3,4,7,2,5,8,1,6]=>[8,5,2,3,6,1,4,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[3,5,2,6,4,8,7,1]=>[6,4,7,3,5,1,2,8]=>[7,8,5,3,6,2,4,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[5,6,1,8,7,2,4,3]=>[4,3,8,1,2,7,5,6]=>[5,6,3,2,8,1,7,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,3,5,8,2,7,4,1]=>[3,6,4,1,7,2,5,8]=>[5,7,2,4,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,8,4,2,3,7,1]=>[3,4,1,5,7,6,2,8]=>[4,8,2,3,5,7,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,2,5,8,3,7,1,4]=>[3,7,4,1,6,2,8,5]=>[5,7,2,4,1,6,3,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,5,2,7,4,6,3,8]=>[8,4,7,2,5,3,6,1]=>[1,5,7,3,6,8,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[5,2,1,8,7,6,3,4]=>[4,7,8,1,2,3,6,5]=>[5,6,7,2,1,8,3,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,4,8,6,1,7,5]=>[7,6,5,1,3,8,2,4]=>[5,8,6,1,4,3,2,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,4,8,6,5,1,7]=>[7,6,5,1,3,4,8,2]=>[5,1,6,7,4,3,2,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,7,3,5,8,6,1,4]=>[7,2,6,4,1,3,8,5]=>[6,3,7,5,1,4,2,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,8,6,1,5]=>[6,7,5,2,1,3,8,4]=>[6,5,7,1,4,2,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,3,6,4,1,8,7,2]=>[4,6,3,5,8,1,2,7]=>[7,8,4,2,5,3,1,6]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[5,3,6,1,4,8,2,7]=>[4,6,3,8,5,1,7,2]=>[7,1,4,2,6,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,3,5,1,8,2,7,4]=>[3,6,4,8,1,7,2,5]=>[6,8,2,4,1,3,7,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,7,6,5,8,3,4,1]=>[7,2,3,4,1,6,5,8]=>[6,3,4,5,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[3,2,4,1,7,8,5,6]=>[6,7,5,8,2,1,4,3]=>[7,6,1,8,4,2,3,5]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,1,4,7,2,8,6,3]=>[4,8,5,2,7,1,3,6]=>[7,5,8,2,4,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,6,4,7,8,2,5,1]=>[6,3,5,2,1,7,4,8]=>[6,5,3,8,4,2,7,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,1,4,6,8,5,7,2]=>[6,8,5,3,1,4,2,7]=>[6,8,5,7,4,2,1,3]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[2,5,4,6,1,7,8,3]=>[7,4,5,3,8,2,1,6]=>[8,7,5,3,4,1,2,6]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[7,2,1,4,3,6,5,8]=>[2,7,8,5,6,3,4,1]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[7,3,4,1,2,6,5,8]=>[2,6,5,8,7,3,4,1]=>[1,2,7,8,4,3,6,5]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[7,4,3,2,1,6,5,8]=>[2,5,6,7,8,3,4,1]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,6,3,2,5,4,1,8]=>[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[6,7,3,2,5,4,8,1]=>[3,2,6,7,4,5,1,8]=>[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,8,3,2,5,4,7,6]=>[8,1,6,7,4,5,2,3]=>[3,8,1,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[1,8,4,5,2,3,7,6]=>[8,1,5,4,7,6,2,3]=>[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[7,3,5,1,6,2,4,8]=>[2,6,4,8,3,7,5,1]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,2,1,6,5,4,3,8]=>[2,7,8,3,4,5,6,1]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[7,4,6,5,1,3,2,8]=>[2,5,3,4,8,6,7,1]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[1,8,5,4,3,2,7,6]=>[8,1,4,5,6,7,2,3]=>[3,8,1,4,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[6,3,7,1,5,4,8,2]=>[3,6,2,8,4,5,1,7]=>[8,4,2,6,7,3,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[6,2,1,7,5,4,8,3]=>[3,7,8,2,4,5,1,6]=>[8,5,2,6,7,1,3,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[3,2,1,8,5,4,7,6]=>[6,7,8,1,4,5,2,3]=>[5,8,1,6,7,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,3,8,1,5,4,7,6]=>[7,6,1,8,4,5,2,3]=>[4,8,1,6,7,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,4,8,5,1,3,7,6]=>[7,5,1,4,8,6,2,3]=>[4,8,1,5,3,7,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,5,8,4,3,1,7,6]=>[7,4,1,5,6,8,2,3]=>[4,8,1,3,5,6,2,7]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,6,8,4,3,7,1,5]=>[7,3,1,5,6,2,8,4]=>[4,7,3,1,5,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,7,8,4,3,6,5,1]=>[7,2,1,5,6,3,4,8]=>[4,3,7,8,5,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,8,7,4,3,6,5,2]=>[8,1,2,5,6,3,4,7]=>[3,4,7,8,5,6,1,2]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[2,7,8,5,6,3,4,1]=>[7,2,1,4,3,6,5,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,4,8,6,1,7,3,5]=>[7,5,1,3,8,2,6,4]=>[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,2,1,8,6,7,4,5]=>[6,7,8,1,3,2,5,4]=>[5,7,6,1,8,2,3,4]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[5,3,7,1,6,8,4,2]=>[4,6,2,8,3,1,5,7]=>[7,4,6,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[5,4,7,6,1,8,3,2]=>[4,5,2,3,8,1,6,7]=>[7,4,5,2,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[4,5,7,6,8,1,3,2]=>[5,4,2,3,1,8,6,7]=>[6,4,5,3,2,8,1,7]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,8,6,5,7,3,2,4]=>[8,1,3,4,2,6,7,5]=>[3,6,4,5,1,7,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[1,8,5,6,7,2,3,4]=>[8,1,4,3,2,7,6,5]=>[3,6,5,4,1,8,7,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[4,7,5,6,8,2,3,1]=>[5,2,4,3,1,7,6,8]=>[6,3,5,4,2,8,7,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,6,5,7,8,2,1,3]=>[5,3,4,2,1,7,8,6]=>[6,5,3,4,2,1,7,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[5,4,6,7,1,8,2,3]=>[4,5,3,2,8,1,7,6]=>[7,5,4,2,3,1,8,6]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,3,6,1,7,8,2,4]=>[4,6,3,8,2,1,7,5]=>[7,6,4,2,1,3,8,5]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[6,3,5,1,7,2,8,4]=>[3,6,4,8,2,7,1,5]=>[8,6,2,4,1,3,7,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,4,5,7,1,2,8,3]=>[3,5,4,2,8,7,1,6]=>[8,5,2,4,3,1,7,6]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[6,5,4,7,2,1,8,3]=>[3,4,5,2,7,8,1,6]=>[8,5,2,3,4,1,6,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[5,6,4,7,2,8,1,3]=>[4,3,5,2,7,1,8,6]=>[7,5,3,2,4,1,6,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,8,4,6,2,7,3,5]=>[8,1,5,3,7,2,6,4]=>[3,7,5,1,4,8,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[5,7,3,2,6,8,4,1]=>[4,2,6,7,3,1,5,8]=>[7,3,6,2,8,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,6,3,2,7,8,1,4]=>[4,3,6,7,2,1,8,5]=>[7,6,3,2,1,4,5,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[6,4,3,2,1,7,8,5]=>[3,5,6,7,8,2,1,4]=>[8,7,2,1,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,2,1,4,3,7,8,5]=>[3,7,8,5,6,2,1,4]=>[8,7,2,1,5,6,3,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,2,1,4,3,8,7,6]=>[4,7,8,5,6,1,2,3]=>[7,8,1,2,5,6,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,3,4,1,2,8,7,6]=>[4,6,5,8,7,1,2,3]=>[7,8,1,2,4,3,6,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,6,3,2,8,7,1,5]=>[5,3,6,7,1,2,8,4]=>[6,7,3,1,2,4,5,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,7,3,2,8,6,5,1]=>[5,2,6,7,1,3,4,8]=>[6,3,7,8,2,4,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,8,3,2,7,6,5,4]=>[8,1,6,7,2,3,4,5]=>[3,6,7,8,1,4,5,2]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[1,8,4,7,2,6,5,3]=>[8,1,5,2,7,3,4,6]=>[3,5,7,8,4,1,6,2]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[3,7,4,8,2,6,5,1]=>[6,2,5,1,7,3,4,8]=>[5,3,7,8,4,2,6,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[3,6,4,8,2,7,1,5]=>[6,3,5,1,7,2,8,4]=>[5,7,3,1,4,2,6,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,5,4,8,2,1,7,6]=>[6,4,5,1,7,8,2,3]=>[5,8,1,3,4,2,6,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,5,1,8,2,7,6]=>[5,6,4,8,1,7,2,3]=>[6,8,1,4,2,3,7,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[4,2,1,5,8,3,7,6]=>[5,7,8,4,1,6,2,3]=>[6,8,1,5,2,7,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,1,6,8,7,3,5]=>[5,7,8,3,1,2,6,4]=>[6,7,5,1,2,8,3,4]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[4,3,6,1,8,7,2,5]=>[5,6,3,8,1,2,7,4]=>[6,7,4,1,2,3,8,5]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[3,5,6,8,7,1,2,4]=>[6,4,3,1,2,8,7,5]=>[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[3,6,5,8,7,2,1,4]=>[6,3,4,1,2,7,8,5]=>[5,6,3,4,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,7,5,8,6,2,4,1]=>[6,2,4,1,3,7,5,8]=>[5,3,6,4,8,2,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,8,6,7,5,4,2,3]=>[8,1,3,2,4,5,7,6]=>[3,5,4,6,7,1,8,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[3,6,7,8,5,4,1,2]=>[6,3,2,1,4,5,8,7]=>[5,4,3,6,7,2,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[3,5,7,8,6,1,4,2]=>[6,4,2,1,3,8,5,7]=>[5,4,6,3,8,2,1,7]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[3,4,7,8,1,6,5,2]=>[6,5,2,1,8,3,4,7]=>[5,4,7,8,3,2,1,6]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]
[4,2,1,7,8,6,5,3]=>[5,7,8,2,1,3,4,6]=>[6,5,7,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,3,8,1,7,6,5,4]=>[7,6,1,8,2,3,4,5]=>[4,6,7,8,1,3,2,5]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,8,7,1,6,5,3]=>[7,5,1,2,8,3,4,6]=>[4,5,7,8,3,1,2,6]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[8,9,10,11,12,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,[.,[.,.]]]]]]]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[6,2,4,8,3,7,1,5]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[8,3,5,1,7,4,6,2]=>[1,6,4,8,2,5,3,7]=>[2,6,8,4,7,3,1,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]
[4,6,2,1,7,5,8,3]=>[5,3,7,8,2,4,1,6]=>[8,6,3,7,2,1,4,5]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,4,6,2,7,5,8,3]=>[8,5,3,7,2,4,1,6]=>[8,6,4,7,3,1,5,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,7,5,2,6,8,4,3]=>[8,2,4,7,3,1,5,6]=>[7,3,6,4,8,1,5,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,8,4,3,1,7,5,2]=>[3,1,5,6,8,2,4,7]=>[3,7,2,8,4,5,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,6,8,4,1,7,5,2]=>[6,3,1,5,8,2,4,7]=>[4,7,3,8,5,2,1,6]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[3,6,7,5,1,8,4,2]=>[6,3,2,4,8,1,5,7]=>[7,4,3,5,8,2,1,6]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[3,4,6,5,7,1,8,2]=>[6,5,3,4,2,8,1,7]=>[8,6,4,5,3,2,1,7]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[6,8,4,1,7,5,3,2]=>[3,1,5,8,2,4,6,7]=>[3,6,2,7,4,8,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,7,5,3,1,8,4,2]=>[3,2,4,6,8,1,5,7]=>[7,3,2,4,8,5,1,6]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[5,3,2,1,7,6,8,4]=>[4,6,7,8,2,3,1,5]=>[8,6,7,2,1,3,4,5]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[2,7,5,1,6,8,4,3]=>[7,2,4,8,3,1,5,6]=>[7,3,6,4,8,1,2,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,4,6,1,7,5,8,3]=>[7,5,3,8,2,4,1,6]=>[8,6,4,7,3,1,2,5]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[4,8,2,6,5,7,1,3]=>[5,1,7,3,4,2,8,6]=>[3,7,5,6,2,1,4,8]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[4,6,1,2,7,5,8,3]=>[5,3,8,7,2,4,1,6]=>[8,6,3,7,2,1,5,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[7,5,1,2,6,8,4,3]=>[2,4,8,7,3,1,5,6]=>[7,2,6,3,8,1,5,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[8,4,1,2,6,7,5,3]=>[1,5,8,7,3,2,4,6]=>[2,7,6,8,3,1,5,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[5,3,1,2,7,6,8,4]=>[4,6,8,7,2,3,1,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[1,2,5,3,7,6,8,4]=>[8,7,4,6,2,3,1,5]=>[8,6,7,4,1,5,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[8,4,1,6,7,5,2,3]=>[1,5,8,3,2,4,7,6]=>[2,6,5,7,3,1,8,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[5,2,3,1,7,6,8,4]=>[4,7,6,8,2,3,1,5]=>[8,6,7,2,1,4,3,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[3,5,2,1,7,6,8,4]=>[6,4,7,8,2,3,1,5]=>[8,6,7,3,1,2,4,5]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,5,2,7,6,8,4]=>[8,6,4,7,2,3,1,5]=>[8,6,7,4,1,3,5,2]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[7,6,2,1,5,8,3,4]=>[2,3,7,8,4,1,6,5]=>[7,2,3,6,1,8,4,5]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[8,3,1,5,7,6,2,4]=>[1,6,8,4,2,3,7,5]=>[2,6,7,5,1,3,8,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[6,2,4,1,7,5,8,3]=>[3,7,5,8,2,4,1,6]=>[8,6,2,7,4,1,3,5]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,2,5,1,7,4,8,3]=>[3,7,4,8,2,5,1,6]=>[8,6,2,4,7,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>[8,6,2,4,7,1,5,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[8,3,5,7,6,2,1,4]=>[1,6,4,2,3,7,8,5]=>[2,5,6,4,1,3,7,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[1,8,3,5,7,6,2,4]=>[8,1,6,4,2,3,7,5]=>[3,6,7,5,1,4,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[8,6,2,7,4,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[8,2,6,5,7,1,4,3]=>[1,7,3,4,2,8,5,6]=>[2,6,4,5,8,1,3,7]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,6,8,2,5,7,1,4]=>[6,3,1,7,4,2,8,5]=>[4,7,3,6,1,2,5,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,2,1,3,7,6,8,5]=>[5,7,8,6,2,3,1,4]=>[8,6,7,1,2,5,3,4]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[6,8,2,3,5,7,1,4]=>[3,1,7,6,4,2,8,5]=>[3,7,2,6,1,5,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,7,1,3,5,8,2,4]=>[3,2,8,6,4,1,7,5]=>[7,3,2,6,1,5,8,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[8,3,5,7,6,1,2,4]=>[1,6,4,2,3,8,7,5]=>[2,5,6,4,1,3,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,1,2,4,7,6,8,5]=>[6,8,7,5,2,3,1,4]=>[8,6,7,1,5,2,4,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,1,2,4,3,6,5,7]=>[1,8,7,5,6,3,4,2]=>[2,1,7,8,5,6,4,3]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[2,7,8,3,4,5,6,1]=>[7,2,1,6,5,4,3,8]=>[4,3,8,7,6,5,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[2,6,3,8,4,5,7,1]=>[7,3,6,1,5,4,2,8]=>[5,8,3,7,6,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[6,3,2,1,4,5,8,7]=>[3,6,7,8,5,4,1,2]=>[8,1,2,7,6,3,4,5]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,4,2,6,8,5]=>[2,6,8,5,7,3,1,4]=>[8,2,7,1,5,3,6,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,8,5,6,1,2,3]=>[5,2,1,4,3,8,7,6]=>[4,3,6,5,2,1,8,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,7,8,5,6,2,1,4]=>[6,2,1,4,3,7,8,5]=>[4,3,6,5,1,2,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[3,7,8,4,2,6,1,5]=>[6,2,1,5,7,3,8,4]=>[4,3,7,1,5,2,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,7,8,2,4,5,1,6]=>[6,2,1,7,5,4,8,3]=>[4,3,1,7,6,2,5,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,6,2,8,4,5,1,7]=>[6,3,7,1,5,4,8,2]=>[5,1,3,7,6,2,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[2,3,6,7,4,5,8,1]=>[7,6,3,2,5,4,1,8]=>[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[4,6,5,8,7,1,2,3]=>[5,3,4,1,2,8,7,6]=>[5,6,3,4,2,1,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[6,4,5,1,7,8,2,3]=>[3,5,4,8,2,1,7,6]=>[7,6,2,4,3,1,8,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,4,1,2,3,8,5,6]=>[2,5,8,7,6,1,4,3]=>[7,2,1,8,3,6,5,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[6,2,4,1,3,7,5,8]=>[3,7,5,8,6,2,4,1]=>[1,7,2,8,4,6,3,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[2,6,4,8,3,7,5,1]=>[7,3,5,1,6,2,4,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[2,6,5,8,7,3,4,1]=>[7,3,4,1,2,6,5,8]=>[5,6,3,4,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[6,2,5,1,7,3,4,8]=>[3,7,4,8,2,6,5,1]=>[1,6,2,4,8,7,3,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,5,2,1,8,3,4,7]=>[3,4,7,8,1,6,5,2]=>[6,1,2,3,8,7,4,5]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[2,5,6,7,8,3,4,1]=>[7,4,3,2,1,6,5,8]=>[6,5,4,3,8,7,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[2,4,6,7,3,8,5,1]=>[7,5,3,2,6,1,4,8]=>[7,5,4,8,3,6,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[4,2,6,7,3,1,5,8]=>[5,7,3,2,6,8,4,1]=>[1,5,4,8,2,6,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,7,8,2,3,1,5,6]=>[5,2,1,7,6,8,4,3]=>[4,3,1,8,2,6,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,6,4,8,1,7,2,3]=>[4,3,5,1,8,2,7,6]=>[5,7,3,2,4,1,8,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[5,8,3,2,1,4,7,6]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[4,2,5,3,7,1,6,8]=>[5,7,4,6,2,8,3,1]=>[1,6,8,4,2,5,3,7]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,3,6,7,2,1,8,5]=>[5,6,3,2,7,8,1,4]=>[8,5,4,1,2,3,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,4,6,7,2,8,1,5]=>[6,5,3,2,7,1,8,4]=>[7,5,4,1,3,2,6,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,4,5,2,7,8,1,6]=>[6,5,4,7,2,1,8,3]=>[7,6,1,4,3,2,5,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,5,6,8,1,7]=>[6,5,7,4,3,1,8,2]=>[7,1,6,5,3,2,4,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[5,2,7,8,6,4,1,3]=>[4,7,2,1,3,5,8,6]=>[5,4,6,2,7,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,1,2,7,8,6,4,3]=>[4,8,7,2,1,3,5,6]=>[6,5,7,2,8,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,7,1,8,6,5,2,3]=>[5,2,8,1,3,4,7,6]=>[5,3,6,7,2,1,8,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[7,8,1,6,3,5,2,4]=>[2,1,8,3,6,4,7,5]=>[3,2,5,7,1,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,8,3,6,5,2,1,4]=>[2,1,6,3,4,7,8,5]=>[3,2,5,6,1,4,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,7,2,8,6,1,5,3]=>[5,2,7,1,3,8,4,6]=>[5,3,6,8,2,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[4,2,7,1,8,6,5,3]=>[5,7,2,8,1,3,4,6]=>[6,4,7,8,2,1,3,5]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[7,8,2,3,6,5,1,4]=>[2,1,7,6,3,4,8,5]=>[3,2,6,7,1,5,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,8,2,7,1,3,5,4]=>[3,1,7,2,8,6,4,5]=>[3,5,2,8,1,7,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,8,7,2,5,3,1,4]=>[3,1,2,7,4,6,8,5]=>[3,4,2,6,1,7,5,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,2,4,8,7,1,5,3]=>[3,7,5,1,2,8,4,6]=>[5,6,2,8,4,1,3,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[1,6,8,3,7,4,5,2]=>[8,3,1,6,2,5,4,7]=>[4,6,3,8,7,5,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[1,6,8,3,4,7,5,2]=>[8,3,1,6,5,2,4,7]=>[4,7,3,8,6,5,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[8,7,6,2,1,4,3,5]=>[1,2,3,7,8,5,6,4]=>[2,3,4,1,7,8,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,8,4,2,7,1,6,3]=>[4,1,5,7,2,8,3,6]=>[3,6,8,2,4,1,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[1,8,7,5,3,4,6,2]=>[8,1,2,4,6,5,3,7]=>[3,4,8,5,7,6,1,2]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[8,7,6,2,4,3,1,5]=>[1,2,3,7,5,6,8,4]=>[2,3,4,1,6,7,5,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,7,6,1,2,4,3,5]=>[1,2,3,8,7,5,6,4]=>[2,3,4,1,7,8,6,5]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[8,7,6,1,4,2,3,5]=>[1,2,3,8,5,7,6,4]=>[2,3,4,1,6,8,7,5]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[8,7,6,4,1,3,2,5]=>[1,2,3,5,8,6,7,4]=>[2,3,4,1,5,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,8,4,7,2,1,6,3]=>[4,1,5,2,7,8,3,6]=>[3,5,8,2,4,1,6,7]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[1,8,7,5,4,3,6,2]=>[8,1,2,4,5,6,3,7]=>[3,4,8,5,6,7,1,2]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[1,6,8,4,3,7,5,2]=>[8,3,1,5,6,2,4,7]=>[4,7,3,8,5,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,8,7,3,2,5,1,4]=>[3,1,2,6,7,4,8,5]=>[3,4,2,7,1,5,6,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[8,5,7,3,1,6,2,4]=>[1,4,2,6,8,3,7,5]=>[2,4,7,3,1,5,8,6]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[8,5,7,3,1,2,6,4]=>[1,4,2,6,8,7,3,5]=>[2,4,8,3,1,5,7,6]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,8,4,7,1,2,6,3]=>[4,1,5,2,8,7,3,6]=>[3,5,8,2,4,1,7,6]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[5,8,4,1,7,2,6,3]=>[4,1,5,8,2,7,3,6]=>[3,6,8,2,4,1,7,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[5,8,4,7,1,6,2,3]=>[4,1,5,2,8,3,7,6]=>[3,5,7,2,4,1,8,6]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[8,2,5,6,7,4,1,3]=>[1,7,4,3,2,5,8,6]=>[2,6,5,4,7,1,3,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[4,8,5,7,1,6,2,3]=>[5,1,4,2,8,3,7,6]=>[3,5,7,4,2,1,8,6]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[8,5,3,7,1,2,6,4]=>[1,4,6,2,8,7,3,5]=>[2,5,8,3,1,4,7,6]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[6,8,1,3,7,2,5,4]=>[3,1,8,6,2,7,4,5]=>[3,6,2,8,1,5,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[4,6,2,8,1,7,5,3]=>[5,3,7,1,8,2,4,6]=>[5,7,3,8,2,1,4,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[1,6,4,8,3,7,5,2]=>[8,3,5,1,6,2,4,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[1,8,7,4,5,3,6,2]=>[8,1,2,5,4,6,3,7]=>[3,4,8,6,5,7,1,2]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[4,8,5,7,2,1,6,3]=>[5,1,4,2,7,8,3,6]=>[3,5,8,4,2,1,6,7]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[8,5,3,7,2,1,6,4]=>[1,4,6,2,7,8,3,5]=>[2,5,8,3,1,4,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[8,7,6,3,1,4,2,5]=>[1,2,3,6,8,5,7,4]=>[2,3,4,1,7,5,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,7,6,1,3,2,4,5]=>[1,2,3,8,6,7,5,4]=>[2,3,4,1,8,6,7,5]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[4,8,5,2,7,1,6,3]=>[5,1,4,7,2,8,3,6]=>[3,6,8,4,2,1,5,7]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[1,8,7,4,3,5,6,2]=>[8,1,2,5,6,4,3,7]=>[3,4,8,7,5,6,1,2]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[1,8,7,3,4,5,6,2]=>[8,1,2,6,5,4,3,7]=>[3,4,8,7,6,5,1,2]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[8,2,4,5,7,1,6,3]=>[1,7,5,4,2,8,3,6]=>[2,6,8,5,4,1,3,7]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]
[6,3,1,5,4,2,8,7]=>[3,6,8,4,5,7,1,2]=>[8,1,2,5,6,3,7,4]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[8,3,1,5,2,7,6,4]=>[1,6,8,4,7,2,3,5]=>[2,7,8,5,1,3,6,4]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[8,5,4,2,1,7,6,3]=>[1,4,5,7,8,2,3,6]=>[2,7,8,3,4,1,5,6]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[6,5,4,2,1,3,8,7]=>[3,4,5,7,8,6,1,2]=>[8,1,2,3,4,7,5,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,4,2,3,1,8,7]=>[3,4,5,7,6,8,1,2]=>[8,1,2,3,4,6,5,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,3,2,5,1,4,8,7]=>[3,6,7,4,8,5,1,2]=>[8,1,2,5,7,3,4,6]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,3,1,2,8,7]=>[3,4,5,6,8,7,1,2]=>[8,1,2,3,4,5,7,6]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,4,1,3,2,8,7]=>[3,4,5,8,6,7,1,2]=>[8,1,2,3,4,6,7,5]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[8,7,4,1,6,3,2,5]=>[1,2,5,8,3,6,7,4]=>[2,3,6,1,4,7,8,5]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,5,4,1,3,7,6,2]=>[1,4,5,8,6,2,3,7]=>[2,7,8,3,4,6,1,5]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[8,3,2,5,1,7,6,4]=>[1,6,7,4,8,2,3,5]=>[2,7,8,5,1,3,4,6]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[2,1,8,5,3,7,6,4]=>[7,8,1,4,6,2,3,5]=>[4,7,8,5,1,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[8,3,2,5,1,7,4,6]=>[1,6,7,4,8,2,5,3]=>[2,7,1,5,8,3,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,5,4,3,1,7,2,6]=>[1,4,5,6,8,2,7,3]=>[2,7,1,3,4,5,8,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,7,4,1,6,2,5,3]=>[1,2,5,8,3,7,4,6]=>[2,3,6,8,4,1,7,5]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]
[8,7,6,5,2,1,4,3]=>[1,2,3,4,7,8,5,6]=>[2,3,4,5,8,1,6,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[8,7,4,3,6,2,1,5]=>[1,2,5,6,3,7,8,4]=>[2,3,6,1,4,5,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,1,8,7,6,4,3,5]=>[7,8,1,2,3,5,6,4]=>[4,5,6,1,7,8,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,3,2,7,6,4,5,1]=>[1,6,7,2,3,5,4,8]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[8,7,4,3,6,2,5,1]=>[1,2,5,6,3,7,4,8]=>[2,3,6,8,4,5,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,6,5,2,4,3,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[8,3,1,7,6,5,4,2]=>[1,6,8,2,3,4,5,7]=>[2,5,6,7,8,3,1,4]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[8,3,1,5,4,7,2,6]=>[1,6,8,4,5,2,7,3]=>[2,7,1,5,6,3,8,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,3,1,7,6,5,2,4]=>[1,6,8,2,3,4,7,5]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[8,3,1,7,6,2,5,4]=>[1,6,8,2,3,7,4,5]=>[2,5,6,8,1,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[2,1,8,5,4,7,3,6]=>[7,8,1,4,5,2,6,3]=>[4,7,1,5,6,8,2,3]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,7,6,5,3,1,4,2]=>[1,2,3,4,6,8,5,7]=>[2,3,4,5,8,6,1,7]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[8,7,6,5,1,3,2,4]=>[1,2,3,4,8,6,7,5]=>[2,3,4,5,1,7,8,6]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[8,7,6,5,1,3,4,2]=>[1,2,3,4,8,6,5,7]=>[2,3,4,5,8,7,1,6]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]
[8,7,6,5,1,4,3,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,5,7,8,1,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,6,5,4,1,3,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,6,8,1,7]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,4,3,6,1,5,2]=>[1,2,5,6,3,8,4,7]=>[2,3,6,8,4,5,1,7]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[8,3,2,7,6,1,5,4]=>[1,6,7,2,3,8,4,5]=>[2,5,6,8,1,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,7,6,5,1,4,2,3]=>[1,2,3,4,8,5,7,6]=>[2,3,4,5,7,1,8,6]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,7,6,5,1,2,4,3]=>[1,2,3,4,8,7,5,6]=>[2,3,4,5,8,1,7,6]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[4,5,6,2,1,8,7,3]=>[5,4,3,7,8,1,2,6]=>[7,8,4,3,2,1,5,6]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[1,6,3,4,7,8,5,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>[6,2,7,8,3,4,1,5]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[6,2,3,4,7,8,1,5]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[6,7,2,8,3,1,4,5]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[1,6,3,7,4,8,5,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[6,7,8,2,1,3,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[4,5,7,1,6,8,2,3]=>[5,4,2,8,3,1,7,6]=>[7,4,6,3,2,1,8,5]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>[6,1,2,3,7,8,5,4]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]
[6,4,1,2,8,5,3,7]=>[3,5,8,7,1,4,6,2]=>[6,1,2,7,3,8,5,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[5,3,1,2,8,6,4,7]=>[4,6,8,7,1,3,5,2]=>[6,1,7,2,8,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,1,2,5,8,3,4,7]=>[3,8,7,4,1,6,5,2]=>[6,1,2,5,8,7,4,3]=>[[.,.],[.,[[[.,[[.,.],.]],.],.]]]
[7,1,3,4,8,2,5,6]=>[2,8,6,5,1,7,4,3]=>[6,2,1,8,5,4,7,3]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[7,1,5,6,8,2,3,4]=>[2,8,4,3,1,7,6,5]=>[6,2,5,4,1,8,7,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[6,8,7,2,1,4,3,5]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[3,5,2,1,6,8,7,4]=>[6,4,7,8,3,1,2,5]=>[7,8,6,3,1,2,4,5]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[1,6,2,5,7,3,4,8]=>[8,3,7,4,2,6,5,1]=>[1,6,3,5,8,7,4,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[6,2,1,5,8,7,3,4]=>[3,7,8,4,1,2,6,5]=>[6,7,2,5,1,8,3,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[7,3,1,5,8,6,2,4]=>[2,6,8,4,1,3,7,5]=>[6,2,7,5,1,3,8,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[7,3,1,4,8,6,2,5]=>[2,6,8,5,1,3,7,4]=>[6,2,7,1,5,3,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,2,1,3,8,7,4,6]=>[4,7,8,6,1,2,5,3]=>[6,7,1,2,8,5,3,4]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[7,4,1,3,8,5,2,6]=>[2,5,8,6,1,4,7,3]=>[6,2,1,7,3,5,8,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[7,5,1,3,8,4,2,6]=>[2,4,8,6,1,5,7,3]=>[6,2,1,3,7,5,8,4]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[3,6,7,1,4,8,2,5]=>[6,3,2,8,5,1,7,4]=>[7,4,3,1,6,2,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,6,1,4,8,3,2,5]=>[2,3,8,5,1,6,7,4]=>[6,2,3,1,5,7,8,4]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[4,2,1,3,8,7,5,6]=>[5,7,8,6,1,2,4,3]=>[6,7,1,8,2,5,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,3,1,6,4,8,7]=>[4,7,6,8,3,5,1,2]=>[8,1,6,2,7,4,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[7,4,5,2,3,1,8,6]=>[2,5,4,7,6,8,1,3]=>[8,2,1,4,3,6,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,6,7,3,5,2,4,1]=>[1,3,2,6,4,7,5,8]=>[2,4,3,6,8,5,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,3,5,2,4,1,8,7]=>[3,6,4,7,5,8,1,2]=>[8,1,2,4,6,3,5,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,4,1,6,3,8,7]=>[4,7,5,8,3,6,1,2]=>[8,1,6,2,4,7,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,1,6,3,5,2,8,7]=>[5,8,3,6,4,7,1,2]=>[8,1,4,6,2,5,7,3]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,4,1,5,2,8,7]=>[3,6,5,8,4,7,1,2]=>[8,1,2,6,4,3,7,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[5,2,6,3,4,1,8,7]=>[4,7,3,6,5,8,1,2]=>[8,1,4,2,6,5,3,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,2,7,3,4,1,8,6]=>[4,7,2,6,5,8,1,3]=>[8,4,1,2,6,5,3,7]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[6,2,7,3,4,1,8,5]=>[3,7,2,6,5,8,1,4]=>[8,4,2,1,6,5,3,7]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,1,7,3,5,2,8,6]=>[5,8,2,6,4,7,1,3]=>[8,4,1,6,2,5,7,3]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[8,4,1,6,5,2,7,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[8,6,7,3,4,1,5,2]=>[1,3,2,6,5,8,4,7]=>[2,4,3,8,6,5,1,7]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[8,5,7,3,4,1,6,2]=>[1,4,2,6,5,8,3,7]=>[2,4,8,3,6,5,1,7]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[2,6,4,3,8,7,5,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[8,4,7,3,5,1,6,2]=>[1,5,2,6,4,8,3,7]=>[2,4,8,6,3,5,1,7]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]
[5,1,8,4,7,3,6,2]=>[4,8,1,5,2,6,3,7]=>[4,6,8,2,5,7,1,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[4,1,8,5,7,3,6,2]=>[5,8,1,4,2,6,3,7]=>[4,6,8,5,2,7,1,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[2,1,8,5,7,4,6,3]=>[7,8,1,4,2,5,3,6]=>[4,6,8,5,7,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[8,4,6,1,2,5,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>[8,4,6,2,1,5,7,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[6,2,7,3,5,1,8,4]=>[3,7,2,6,4,8,1,5]=>[8,4,2,6,1,5,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,2,4,1,7,3,8,6]=>[4,7,5,8,2,6,1,3]=>[8,6,1,2,4,7,3,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,5,7,4,6,2,3,1]=>[1,4,2,5,3,7,6,8]=>[2,4,6,3,5,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[5,2,3,1,7,4,8,6]=>[4,7,6,8,2,5,1,3]=>[8,6,1,2,7,4,3,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[4,2,3,1,7,5,8,6]=>[5,7,6,8,2,4,1,3]=>[8,6,1,7,2,4,3,5]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[3,1,4,2,8,6,7,5]=>[6,8,5,7,1,3,2,4]=>[6,8,7,1,4,2,5,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,2,3,1,8,5,7,4]=>[3,7,6,8,1,4,2,5]=>[6,8,2,7,1,4,3,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,5,6,2,3,1,7,4]=>[1,4,3,7,6,8,2,5]=>[2,8,4,3,1,6,5,7]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[7,3,8,5,6,2,4,1]=>[2,6,1,4,3,7,5,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[8,5,6,2,4,1,7,3]=>[1,4,3,7,5,8,2,6]=>[2,8,4,3,6,1,5,7]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,1,6,3,8,5,7,4]=>[7,8,3,6,1,4,2,5]=>[6,8,4,7,1,5,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,6,2,8,5,7,4]=>[6,8,3,7,1,4,2,5]=>[6,8,4,7,1,2,5,3]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[4,1,6,2,8,5,7,3]=>[5,8,3,7,1,4,2,6]=>[6,8,4,7,2,1,5,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,1,6,2,8,4,7,3]=>[4,8,3,7,1,5,2,6]=>[6,8,4,2,7,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[8,4,6,2,5,1,7,3]=>[1,5,3,7,4,8,2,6]=>[2,8,4,6,3,1,5,7]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[6,2,7,3,8,4,5,1]=>[3,7,2,6,1,5,4,8]=>[6,4,2,8,7,5,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[8,4,5,1,6,2,7,3]=>[1,5,4,8,3,7,2,6]=>[2,8,6,4,3,1,7,5]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[3,1,8,5,6,2,7,4]=>[6,8,1,4,3,7,2,5]=>[4,8,6,5,1,2,7,3]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,1,7,4,8,5,6,3]=>[7,8,2,5,1,4,3,6]=>[6,4,8,7,5,1,2,3]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[3,1,7,4,8,5,6,2]=>[6,8,2,5,1,4,3,7]=>[6,4,8,7,5,2,1,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[4,1,7,3,8,5,6,2]=>[5,8,2,6,1,4,3,7]=>[6,4,8,7,2,5,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[8,4,5,1,7,3,6,2]=>[1,5,4,8,2,6,3,7]=>[2,6,8,4,3,7,1,5]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[7,8,5,6,1,3,4,2]=>[2,1,4,3,8,6,5,7]=>[3,2,5,4,8,7,1,6]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[7,8,1,3,6,2,5,4]=>[2,1,8,6,3,7,4,5]=>[3,2,6,8,1,5,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,3,8,4,7,2,5,6]=>[8,6,1,5,2,7,4,3]=>[4,6,1,8,5,3,7,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[1,6,3,8,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,6,1,2,5,7,3,8]=>[5,3,8,7,4,2,6,1]=>[1,7,3,6,2,8,5,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,8,2,4,5,6,1,3]=>[2,1,7,5,4,3,8,6]=>[3,2,7,6,5,1,4,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[7,8,2,1,6,3,4,5]=>[2,1,7,8,3,6,5,4]=>[3,2,6,1,8,7,4,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[7,8,3,5,6,4,1,2]=>[2,1,6,4,3,5,8,7]=>[3,2,6,5,7,4,1,8]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[7,8,1,4,2,3,6,5]=>[2,1,8,5,7,6,3,4]=>[3,2,8,1,5,7,6,4]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[7,8,5,1,4,2,6,3]=>[2,1,4,8,5,7,3,6]=>[3,2,8,4,6,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[7,8,4,5,3,1,6,2]=>[2,1,5,4,6,8,3,7]=>[3,2,8,5,4,6,1,7]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,5,8,4,3,2,7,6]=>[8,4,1,5,6,7,2,3]=>[4,8,1,3,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[5,6,1,4,3,2,7,8]=>[4,3,8,5,6,7,2,1]=>[1,8,3,2,5,6,7,4]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[2,6,4,8,3,7,1,5]=>[7,3,5,1,6,2,8,4]=>[5,7,3,1,4,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[1,4,6,8,3,7,5,2]=>[8,5,3,1,6,2,4,7]=>[5,7,4,8,3,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,4,8,5,3,1,6,7]=>[7,5,1,4,6,8,3,2]=>[4,1,8,5,3,6,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,6,2,4,7,3,8,5]=>[8,3,7,5,2,6,1,4]=>[8,6,3,1,5,7,4,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[5,6,2,1,4,7,8,3]=>[4,3,7,8,5,2,1,6]=>[8,7,3,2,6,1,4,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[4,6,2,5,3,1,8,7]=>[5,3,7,4,6,8,1,2]=>[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,7,5,1,3,6,8,2]=>[5,2,4,8,6,3,1,7]=>[8,3,7,4,2,6,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,3,6,1,4,8,2]=>[4,2,6,3,8,5,1,7]=>[8,3,5,2,7,4,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[5,3,6,7,2,1,8,4]=>[4,6,3,2,7,8,1,5]=>[8,5,4,2,1,3,6,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[6,1,7,5,2,4,8,3]=>[3,8,2,4,7,5,1,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,3,1,2,4,5,8,7]=>[3,6,8,7,5,4,1,2]=>[8,1,2,7,6,3,5,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[1,4,7,2,5,3,8,6]=>[8,5,2,7,4,6,1,3]=>[8,4,1,6,3,7,5,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,6,7,8,3,5,1,2]=>[5,3,2,1,6,4,8,7]=>[5,4,3,7,2,6,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,6,7,5,8,2,4,3]=>[8,3,2,4,1,7,5,6]=>[6,4,3,5,8,1,7,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[3,5,6,7,8,1,4,2]=>[6,4,3,2,1,8,5,7]=>[6,5,4,3,8,2,1,7]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,7,5,6,8,4,1,3]=>[7,2,4,3,1,5,8,6]=>[6,3,5,4,7,1,2,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,1,6,8,4,5,3,7]=>[7,8,3,1,5,4,6,2]=>[5,1,4,7,6,8,2,3]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,1,8,5,4,6,7,2]=>[6,8,1,4,5,3,2,7]=>[4,8,7,5,6,2,1,3]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[3,4,7,1,5,2,6,8]=>[6,5,2,8,4,7,3,1]=>[1,4,8,6,3,2,7,5]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[5,4,8,1,2,3,7,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[1,7,3,8,5,2,6,4]=>[8,2,6,1,4,7,3,5]=>[5,3,8,6,1,4,7,2]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[5,7,8,6,3,2,1,4]=>[4,2,1,3,6,7,8,5]=>[4,3,5,2,1,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[5,7,8,6,1,3,4,2]=>[4,2,1,3,8,6,5,7]=>[4,3,5,2,8,7,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[7,6,5,8,1,3,4,2]=>[2,3,4,1,8,6,5,7]=>[5,2,3,4,8,7,1,6]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[7,1,3,4,8,2,6,5]=>[2,8,6,5,1,7,3,4]=>[6,2,8,1,5,4,7,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[3,6,5,4,1,2,7,8]=>[6,3,4,5,8,7,2,1]=>[1,8,3,4,5,2,7,6]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[2,6,3,4,5,8,1,7]=>[7,3,6,5,4,1,8,2]=>[7,1,3,6,5,4,2,8]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[2,6,4,1,8,3,7,5]=>[7,3,5,8,1,6,2,4]=>[6,8,3,1,4,7,2,5]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[7,3,6,4,8,5,1,2]=>[2,6,3,5,1,4,8,7]=>[6,2,4,7,5,3,1,8]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]
[7,2,1,4,8,3,5,6]=>[2,7,8,5,1,6,4,3]=>[6,2,1,8,5,7,3,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,6,2,7,3,1,4,8]=>[4,3,7,2,6,8,5,1]=>[1,5,3,2,8,6,4,7]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[6,7,1,5,2,8,3,4]=>[3,2,8,4,7,1,6,5]=>[7,3,2,5,1,8,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,7,5,2,4,8,3,6]=>[8,2,4,7,5,1,6,3]=>[7,3,1,4,6,8,5,2]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]
[6,1,5,2,8,3,4,7]=>[3,8,4,7,1,6,5,2]=>[6,1,2,4,8,7,5,3]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]
[1,6,5,4,2,3,8,7]=>[8,3,4,5,7,6,1,2]=>[8,1,3,4,5,7,6,2]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]
[7,1,5,3,4,2,8,6]=>[2,8,4,6,5,7,1,3]=>[8,2,1,4,6,5,7,3]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[7,6,1,5,3,2,8,4]=>[2,3,8,4,6,7,1,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[7,5,6,4,1,2,8,3]=>[2,4,3,5,8,7,1,6]=>[8,2,4,3,5,1,7,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,7,5,4,3,1,8,2]=>[3,2,4,5,6,8,1,7]=>[8,3,2,4,5,6,1,7]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[7,5,2,4,3,1,6,8]=>[2,4,7,5,6,8,3,1]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,4,6,1,2,5,3,8]=>[2,5,3,8,7,4,6,1]=>[1,2,4,7,3,8,6,5]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[7,1,4,2,5,3,6,8]=>[2,8,5,7,4,6,3,1]=>[1,2,8,6,4,7,5,3]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]
[6,8,1,3,7,5,4,2]=>[3,1,8,6,2,4,5,7]=>[3,6,2,7,8,5,1,4]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[7,4,2,6,5,1,3,8]=>[2,5,7,3,4,8,6,1]=>[1,2,5,6,3,8,4,7]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[7,4,6,3,1,5,2,8]=>[2,5,3,6,8,4,7,1]=>[1,2,4,7,3,5,8,6]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[6,8,1,2,3,4,7,5]=>[3,1,8,7,6,5,2,4]=>[3,8,2,1,7,6,5,4]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[1,5,7,2,3,8,6,4]=>[8,4,2,7,6,1,3,5]=>[7,4,8,3,1,6,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[5,1,8,2,3,6,7,4]=>[4,8,1,7,6,3,2,5]=>[4,8,7,2,1,6,5,3]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[5,8,2,3,7,6,4,1]=>[4,1,7,6,2,3,5,8]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,8,2,3,5,4,7,1]=>[3,1,7,6,4,5,2,8]=>[3,8,2,6,7,5,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,6,4,1,5,7,3,8]=>[7,3,5,8,4,2,6,1]=>[1,7,3,6,4,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,6,3,5,7,1,4,8]=>[7,3,6,4,2,8,5,1]=>[1,6,3,5,8,4,2,7]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[2,5,3,6,8,4,7,1]=>[7,4,6,3,1,5,2,8]=>[6,8,5,3,7,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[2,1,4,7,8,5,6,3]=>[7,8,5,2,1,4,3,6]=>[6,5,8,7,4,1,2,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[2,5,3,7,6,1,8,4]=>[7,4,6,2,3,8,1,5]=>[8,5,6,3,1,4,2,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,5,7,8,1,4,6,3]=>[7,4,2,1,8,5,3,6]=>[5,4,8,3,7,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[4,2,8,6,5,3,7,1]=>[5,7,1,3,4,6,2,8]=>[4,8,5,6,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,2,8,5,7,6,3,1]=>[5,7,1,4,2,3,6,8]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,4,2,7,5,8,6,3]=>[8,5,7,2,4,1,3,6]=>[7,5,8,6,3,1,4,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[4,1,8,6,7,5,3,2]=>[5,8,1,3,2,4,6,7]=>[4,6,5,7,2,8,1,3]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[5,8,4,7,6,2,1,3]=>[4,1,5,2,3,7,8,6]=>[3,5,6,2,4,1,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[6,4,8,3,1,7,2,5]=>[3,5,1,6,8,2,7,4]=>[4,7,2,1,3,5,8,6]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[3,5,7,2,8,4,1,6]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[5,8,7,4,1,6,2,3]=>[4,1,2,5,8,3,7,6]=>[3,4,7,2,5,1,8,6]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,4,8,1,2,7,3,5]=>[3,5,1,8,7,2,6,4]=>[4,7,2,1,3,8,6,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[6,8,5,2,4,3,7,1]=>[3,1,4,7,5,6,2,8]=>[3,8,2,4,6,7,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,5,1,2,7,6,3,8]=>[5,4,8,7,2,3,6,1]=>[1,6,7,3,2,8,5,4]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[4,5,1,2,6,8,7,3]=>[5,4,8,7,3,1,2,6]=>[7,8,6,3,2,1,5,4]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[3,5,6,1,8,4,7,2]=>[6,4,3,8,1,5,2,7]=>[6,8,4,3,7,2,1,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[3,5,7,1,2,8,6,4]=>[6,4,2,8,7,1,3,5]=>[7,4,8,3,1,2,6,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[3,6,2,7,5,1,4,8]=>[6,3,7,2,4,8,5,1]=>[1,5,3,6,8,2,4,7]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[1,6,4,8,2,7,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,6,3,1,2,7,5,8]=>[5,3,6,8,7,2,4,1]=>[1,7,3,8,2,4,6,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[4,5,3,1,7,6,2,8]=>[5,4,6,8,2,3,7,1]=>[1,6,7,3,2,4,8,5]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[4,2,5,7,1,6,3,8]=>[5,7,4,2,8,3,6,1]=>[1,5,7,4,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[3,1,4,7,5,6,2,8]=>[6,8,5,2,4,3,7,1]=>[1,5,7,6,4,2,8,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]]
[3,4,6,5,8,7,1,2]=>[6,5,3,4,1,2,8,7]=>[6,7,4,5,3,2,1,8]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[3,1,4,5,8,6,7,2]=>[6,8,5,4,1,3,2,7]=>[6,8,7,5,4,2,1,3]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[3,4,6,8,5,2,7,1]=>[6,5,3,1,4,7,2,8]=>[5,8,4,6,3,2,7,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,2,5,6,1,8,7,3]=>[5,7,4,3,8,1,2,6]=>[7,8,5,4,2,1,3,6]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,1,7,5,8,6,4,3]=>[7,8,2,4,1,3,5,6]=>[6,4,7,5,8,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,2,7,5,3,8,6,4]=>[8,7,2,4,6,1,3,5]=>[7,4,8,5,1,6,3,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,1,2,7,3,8,6,5]=>[5,8,7,2,6,1,3,4]=>[7,5,8,1,2,6,4,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,4,1,7,5,2,3,8]=>[3,5,8,2,4,7,6,1]=>[1,5,2,6,3,8,7,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,1,3,7,5,2,4,8]=>[3,8,6,2,4,7,5,1]=>[1,5,2,6,8,4,7,3]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[3,1,2,6,8,5,4,7]=>[6,8,7,3,1,4,5,2]=>[6,1,5,7,8,2,4,3]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,1,2,5,4,8,6]=>[6,2,8,7,4,5,1,3]=>[8,3,1,6,7,2,5,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[1,3,7,2,4,8,6,5]=>[8,6,2,7,5,1,3,4]=>[7,4,8,1,6,3,5,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,4,1,7,8,6,5,3]=>[7,5,8,2,1,3,4,6]=>[6,5,7,8,3,1,2,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[3,4,7,5,1,8,6,2]=>[6,5,2,4,8,1,3,7]=>[7,4,8,5,3,2,1,6]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[2,7,4,1,5,8,6,3]=>[7,2,5,8,4,1,3,6]=>[7,3,8,6,4,1,2,5]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[2,3,7,1,5,8,6,4]=>[7,6,2,8,4,1,3,5]=>[7,4,8,6,1,3,2,5]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,2,8,1,3,7,4,6]=>[4,7,1,8,6,2,5,3]=>[4,7,1,2,8,6,3,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[2,1,6,8,3,4,7,5]=>[7,8,3,1,6,5,2,4]=>[5,8,4,1,7,6,2,3]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,6,8,3,1,5,7,4]=>[7,3,1,6,8,4,2,5]=>[4,8,3,7,1,5,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,8,6,4,1,5,7,3]=>[7,1,3,5,8,4,2,6]=>[3,8,4,7,5,1,2,6]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[3,6,4,8,5,1,7,2]=>[6,3,5,1,4,8,2,7]=>[5,8,3,6,4,2,1,7]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[6,3,7,4,5,1,8,2]=>[3,6,2,5,4,8,1,7]=>[8,4,2,6,5,3,1,7]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,6,3,7,5,8,1,4]=>[7,3,6,2,4,1,8,5]=>[7,5,3,6,1,4,2,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[5,2,1,7,8,3,4,6]=>[4,7,8,2,1,6,5,3]=>[6,5,1,2,8,7,3,4]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[4,7,2,3,6,8,1,5]=>[5,2,7,6,3,1,8,4]=>[7,3,6,1,2,5,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[5,2,7,3,6,8,1,4]=>[4,7,2,6,3,1,8,5]=>[7,4,6,2,1,5,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[5,7,4,6,2,8,1,3]=>[4,2,5,3,7,1,8,6]=>[7,3,5,2,4,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,7,3,4,6,1,8,2]=>[4,2,6,5,3,8,1,7]=>[8,3,6,2,5,4,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[5,3,8,4,6,1,7,2]=>[4,6,1,5,3,8,2,7]=>[4,8,6,2,5,3,1,7]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[8,5,2,4,1,6,7,3]=>[1,4,7,5,8,3,2,6]=>[2,8,7,3,5,1,4,6]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[8,2,3,5,1,6,7,4]=>[1,7,6,4,8,3,2,5]=>[2,8,7,5,1,4,3,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[4,2,8,3,6,7,1,5]=>[5,7,1,6,3,2,8,4]=>[4,7,6,1,2,5,3,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,4,8,1,7,3,5,6]=>[7,5,1,8,2,6,4,3]=>[4,6,1,8,3,7,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,4,1,3,6,2,5,7]=>[1,5,8,6,3,7,4,2]=>[2,1,6,8,3,5,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[4,8,3,1,7,2,5,6]=>[5,1,6,8,2,7,4,3]=>[3,6,1,8,2,4,7,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,2,8,4,7,1,6,3]=>[4,7,1,5,2,8,3,6]=>[4,6,8,2,5,1,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[5,8,4,7,3,1,6,2]=>[4,1,5,2,6,8,3,7]=>[3,5,8,2,4,6,1,7]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[4,6,8,3,1,7,5,2]=>[5,3,1,6,8,2,4,7]=>[4,7,3,8,2,5,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,3,8,2,7,1,5,4]=>[3,6,1,7,2,8,4,5]=>[4,6,2,8,1,3,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[6,3,1,8,2,4,7,5]=>[3,6,8,1,7,5,2,4]=>[5,8,2,1,7,3,6,4]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[5,3,8,1,2,6,4,7]=>[4,6,1,8,7,3,5,2]=>[4,1,7,2,8,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,1,6,2,3,8]=>[4,2,5,8,3,7,6,1]=>[1,3,6,2,4,8,7,5]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[8,5,4,1,2,6,3,7]=>[1,4,5,8,7,3,6,2]=>[2,1,7,3,4,8,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[5,1,8,4,2,7,3,6]=>[4,8,1,5,7,2,6,3]=>[4,7,1,2,5,8,6,3]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[1,6,2,8,5,3,7,4]=>[8,3,7,1,4,6,2,5]=>[5,8,3,6,1,7,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,8,5,3,1,7,4,2]=>[3,1,4,6,8,2,5,7]=>[3,7,2,4,8,5,1,6]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[8,4,5,1,2,6,3,7]=>[1,5,4,8,7,3,6,2]=>[2,1,7,4,3,8,6,5]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[1,5,3,2,8,4,7,6]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[1,6,3,7,2,8,4,5]=>[8,3,6,2,7,1,5,4]=>[7,5,3,1,8,4,6,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[6,3,2,7,8,5,1,4]=>[3,6,7,2,1,4,8,5]=>[6,5,2,7,1,3,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[4,5,7,8,3,1,6,2]=>[5,4,2,1,6,8,3,7]=>[5,4,8,3,2,6,1,7]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[4,7,2,5,8,1,6,3]=>[5,2,7,4,1,8,3,6]=>[6,3,8,5,2,1,4,7]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[8,1,3,4,6,2,5,7]=>[1,8,6,5,3,7,4,2]=>[2,1,6,8,5,4,7,3]=>[[.,.],[[[[.,[.,.]],.],[.,.]],.]]
[3,8,2,4,6,7,1,5]=>[6,1,7,5,3,2,8,4]=>[3,7,6,1,5,2,4,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,5,6,8,2,7,1,4]=>[6,4,3,1,7,2,8,5]=>[5,7,4,3,1,2,6,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,4,5,6,8,1,7,3]=>[7,5,4,3,1,8,2,6]=>[6,8,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[4,8,3,5,6,1,7,2]=>[5,1,6,4,3,8,2,7]=>[3,8,6,5,2,4,1,7]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[5,6,2,3,7,8,1,4]=>[4,3,7,6,2,1,8,5]=>[7,6,3,2,1,5,4,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,8,7,3,4,1,2,6]=>[4,1,2,6,5,8,7,3]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[6,8,7,3,4,1,2,5]=>[3,1,2,6,5,8,7,4]=>[3,4,2,1,6,5,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,8,4,7,1,5,3,2]=>[3,1,5,2,8,4,6,7]=>[3,5,2,7,4,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,8,4,7,2,5,3,1]=>[3,1,5,2,7,4,6,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,4,8,7,2,6,3,1]=>[4,5,1,2,7,3,6,8]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,4,8,7,1,6,3,2]=>[4,5,1,2,8,3,6,7]=>[4,5,7,2,3,8,1,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[5,3,8,7,6,1,2,4]=>[4,6,1,2,3,8,7,5]=>[4,5,6,2,1,3,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[4,3,8,7,6,1,2,5]=>[5,6,1,2,3,8,7,4]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,8,4,7,5,1,2,6]=>[6,1,5,2,4,8,7,3]=>[3,5,1,6,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,8,7,6,1,2,5]=>[6,5,1,2,3,8,7,4]=>[4,5,6,1,3,2,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,5,8,7,6,1,2,4]=>[6,4,1,2,3,8,7,5]=>[4,5,6,3,1,2,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[4,5,8,7,6,1,2,3]=>[5,4,1,2,3,8,7,6]=>[4,5,6,3,2,1,8,7]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[4,5,8,7,1,6,3,2]=>[5,4,1,2,8,3,6,7]=>[4,5,7,3,2,8,1,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[4,5,8,7,2,6,3,1]=>[5,4,1,2,7,3,6,8]=>[4,5,7,3,2,8,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[3,5,8,2,7,6,4,1]=>[6,4,1,7,2,3,5,8]=>[4,6,7,3,8,2,5,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,5,8,1,7,6,4,2]=>[6,4,1,8,2,3,5,7]=>[4,6,7,3,8,2,1,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[2,5,8,1,7,6,4,3]=>[7,4,1,8,2,3,5,6]=>[4,6,7,3,8,1,2,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[2,5,8,7,1,6,3,4]=>[7,4,1,2,8,3,6,5]=>[4,5,7,3,1,8,2,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,4,8,7,1,6,3,5]=>[7,5,1,2,8,3,6,4]=>[4,5,7,1,3,8,2,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,8,4,7,1,5,3,6]=>[7,1,5,2,8,4,6,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,1,4,6,2,5,3,7]=>[1,8,5,3,7,4,6,2]=>[2,1,5,7,4,8,6,3]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,8,4,7,2,5,3,6]=>[8,1,5,2,7,4,6,3]=>[3,5,1,7,4,8,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[1,4,8,7,2,6,3,5]=>[8,5,1,2,7,3,6,4]=>[4,5,7,1,3,8,6,2]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[1,5,8,7,2,6,3,4]=>[8,4,1,2,7,3,6,5]=>[4,5,7,3,1,8,6,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[1,5,8,2,7,6,4,3]=>[8,4,1,7,2,3,5,6]=>[4,6,7,3,8,1,5,2]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,5,8,3,7,6,4,1]=>[7,4,1,6,2,3,5,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[1,4,2,8,7,6,5,3]=>[8,5,7,1,2,3,4,6]=>[5,6,7,8,3,1,4,2]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[1,3,8,2,7,6,4,5]=>[8,6,1,7,2,3,5,4]=>[4,6,7,1,8,3,5,2]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[1,8,3,2,7,5,4,6]=>[8,1,6,7,2,4,5,3]=>[3,6,1,7,8,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[8,1,3,2,6,5,4,7]=>[1,8,6,7,3,4,5,2]=>[2,1,6,7,8,4,5,3]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[8,2,3,1,6,5,4,7]=>[1,7,6,8,3,4,5,2]=>[2,1,6,7,8,4,3,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,8,3,1,7,5,4,6]=>[7,1,6,8,2,4,5,3]=>[3,6,1,7,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,8,1,7,6,4,5]=>[7,6,1,8,2,3,5,4]=>[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,4,1,8,7,6,5,2]=>[6,5,8,1,2,3,4,7]=>[5,6,7,8,3,2,1,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[4,3,1,8,7,6,5,2]=>[5,6,8,1,2,3,4,7]=>[5,6,7,8,2,3,1,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[4,2,1,8,7,6,5,3]=>[5,7,8,1,2,3,4,6]=>[5,6,7,8,2,1,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,8,2,1,7,5,4,6]=>[6,1,7,8,2,4,5,3]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,3,2,1,6,5,4,7]=>[1,6,7,8,3,4,5,2]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,4,2,6,1,5,3,7]=>[1,5,7,3,8,4,6,2]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,8,7,1,6,3,5]=>[5,7,1,2,8,3,6,4]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,2,8,7,1,6,3,4]=>[4,7,1,2,8,3,6,5]=>[4,5,7,2,1,8,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[5,2,8,1,7,6,4,3]=>[4,7,1,8,2,3,5,6]=>[4,6,7,2,8,1,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[5,3,8,1,7,6,4,2]=>[4,6,1,8,2,3,5,7]=>[4,6,7,2,8,3,1,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[5,3,8,2,7,6,4,1]=>[4,6,1,7,2,3,5,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,8,3,2,7,5,4,1]=>[3,1,6,7,2,4,5,8]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,8,3,1,7,5,4,2]=>[3,1,6,8,2,4,5,7]=>[3,6,2,7,8,4,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[6,8,2,1,7,5,4,3]=>[3,1,7,8,2,4,5,6]=>[3,6,2,7,8,1,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[6,8,2,7,1,5,3,4]=>[3,1,7,2,8,4,6,5]=>[3,5,2,7,1,8,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,8,7,2,1,4,3,5]=>[3,1,2,7,8,5,6,4]=>[3,4,2,1,7,8,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[8,5,6,1,2,4,3,7]=>[1,4,3,8,7,5,6,2]=>[2,1,4,3,7,8,6,5]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]]
[5,8,7,1,2,4,3,6]=>[4,1,2,8,7,5,6,3]=>[3,4,1,2,7,8,6,5]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]
[6,8,1,2,7,5,4,3]=>[3,1,8,7,2,4,5,6]=>[3,6,2,7,8,1,5,4]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[6,8,2,3,7,5,4,1]=>[3,1,7,6,2,4,5,8]=>[3,6,2,7,8,5,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,2,8,3,7,6,4,1]=>[4,7,1,6,2,3,5,8]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,8,3,7,6,4,2]=>[4,8,1,6,2,3,5,7]=>[4,6,7,2,8,5,1,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[5,1,8,7,2,6,3,4]=>[4,8,1,2,7,3,6,5]=>[4,5,7,2,1,8,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[4,1,8,7,2,6,3,5]=>[5,8,1,2,7,3,6,4]=>[4,5,7,1,2,8,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[4,8,1,7,2,5,3,6]=>[5,1,8,2,7,4,6,3]=>[3,5,1,7,2,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,4,1,6,2,5,3,7]=>[1,5,8,3,7,4,6,2]=>[2,1,5,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[3,1,8,2,7,6,4,5]=>[6,8,1,7,2,3,5,4]=>[4,6,7,1,8,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,1,2,8,7,6,5,4]=>[6,8,7,1,2,3,4,5]=>[5,6,7,8,1,2,4,3]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[3,1,4,8,7,6,5,2]=>[6,8,5,1,2,3,4,7]=>[5,6,7,8,4,2,1,3]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[2,1,8,3,7,6,4,5]=>[7,8,1,6,2,3,5,4]=>[4,6,7,1,8,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,8,1,3,7,5,4,6]=>[7,1,8,6,2,4,5,3]=>[3,6,1,7,8,5,2,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,2,1,3,6,5,4,7]=>[1,7,8,6,3,4,5,2]=>[2,1,6,7,8,5,3,4]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,1,2,3,6,5,4,7]=>[1,8,7,6,3,4,5,2]=>[2,1,6,7,8,5,4,3]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]
[1,8,2,3,7,5,4,6]=>[8,1,7,6,2,4,5,3]=>[3,6,1,7,8,5,4,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[1,2,8,3,7,6,4,5]=>[8,7,1,6,2,3,5,4]=>[4,6,7,1,8,5,3,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[1,4,3,6,8,2,5,7]=>[8,5,6,3,1,7,4,2]=>[6,1,5,8,3,4,7,2]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[3,5,1,8,2,4,7,6]=>[6,4,8,1,7,5,2,3]=>[5,8,1,3,7,2,6,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,4,5,2,8,3,7,6]=>[8,5,4,7,1,6,2,3]=>[6,8,1,4,3,7,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[1,4,2,6,5,8,3,7]=>[8,5,7,3,4,1,6,2]=>[7,1,5,6,3,8,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[1,6,4,2,5,8,3,7]=>[8,3,5,7,4,1,6,2]=>[7,1,3,6,4,8,5,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]
[1,2,6,5,4,8,3,7]=>[8,7,3,4,5,1,6,2]=>[7,1,4,5,6,8,3,2]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[7,1,5,4,2,8,3,6]=>[2,8,4,5,7,1,6,3]=>[7,2,1,4,5,8,6,3]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]
[1,4,7,5,2,8,3,6]=>[8,5,2,4,7,1,6,3]=>[7,4,1,5,3,8,6,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[7,1,3,5,2,8,4,6]=>[2,8,6,4,7,1,5,3]=>[7,2,1,5,8,4,6,3]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[7,2,5,1,8,3,4,6]=>[2,7,4,8,1,6,5,3]=>[6,2,1,4,8,7,3,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[1,4,5,2,8,7,3,6]=>[8,5,4,7,1,2,6,3]=>[6,7,1,4,3,8,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[1,6,4,2,8,3,7,5]=>[8,3,5,7,1,6,2,4]=>[6,8,3,1,4,7,5,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[1,2,5,3,8,7,6,4]=>[8,7,4,6,1,2,3,5]=>[6,7,8,4,1,5,3,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[1,2,8,6,5,3,7,4]=>[8,7,1,3,4,6,2,5]=>[4,8,5,6,1,7,3,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,5,2,8,6,3,7,4]=>[8,4,7,1,3,6,2,5]=>[5,8,6,3,1,7,4,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[1,6,4,2,8,7,3,5]=>[8,3,5,7,1,2,6,4]=>[6,7,3,1,4,8,5,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[6,2,1,8,7,3,4,5]=>[3,7,8,1,2,6,5,4]=>[5,6,2,1,8,7,3,4]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[7,3,1,6,2,8,4,5]=>[2,6,8,3,7,1,5,4]=>[7,2,5,1,8,3,6,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,2,7,5,3,8,4]=>[8,3,7,2,4,6,1,5]=>[8,5,3,6,1,7,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,2,6,5,3,8,7,4]=>[8,7,3,4,6,1,2,5]=>[7,8,4,5,1,6,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,5,2,6,3,8,7,4]=>[8,4,7,3,6,1,2,5]=>[7,8,5,3,1,6,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[1,5,2,7,6,3,8,4]=>[8,4,7,2,3,6,1,5]=>[8,5,6,3,1,7,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[7,4,1,3,5,8,6,2]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]
[4,1,2,8,6,3,7,5]=>[5,8,7,1,3,6,2,4]=>[5,8,6,1,2,7,4,3]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[3,1,8,6,2,4,7,5]=>[6,8,1,3,7,5,2,4]=>[4,8,5,1,7,2,6,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,3,7,1,8,2,5,6]=>[5,6,2,8,1,7,4,3]=>[6,4,1,8,2,3,7,5]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[7,1,8,3,2,4,6,5]=>[2,8,1,6,7,5,3,4]=>[4,2,8,1,7,5,6,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,8,7,3,2,4,6,5]=>[8,1,2,6,7,5,3,4]=>[3,4,8,1,7,5,6,2]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[1,7,4,2,8,3,6,5]=>[8,2,5,7,1,6,3,4]=>[6,3,8,1,4,7,5,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[1,4,8,5,2,7,3,6]=>[8,5,1,4,7,2,6,3]=>[4,7,1,5,3,8,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[8,5,3,1,7,2,4,6]=>[1,4,6,8,2,7,5,3]=>[2,6,1,3,8,4,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,6,2,1,7,3,4,5]=>[1,3,7,8,2,6,5,4]=>[2,6,3,1,8,7,4,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,8,6,4,2,7,3,5]=>[8,1,3,5,7,2,6,4]=>[3,7,4,1,5,8,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[1,8,5,2,6,3,7,4]=>[8,1,4,7,3,6,2,5]=>[3,8,6,4,1,7,5,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[1,5,2,7,3,8,6,4]=>[8,4,7,2,6,1,3,5]=>[7,5,8,3,1,6,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[1,2,8,5,3,7,6,4]=>[8,7,1,4,6,2,3,5]=>[4,7,8,5,1,6,3,2]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[1,2,6,3,8,7,5,4]=>[8,7,3,6,1,2,4,5]=>[6,7,4,8,1,5,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,2,7,6,3,8,5,4]=>[8,7,2,3,6,1,4,5]=>[7,4,5,8,1,6,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>[7,5,3,8,1,6,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,7,4,2,8,6,3,5]=>[8,2,5,7,1,3,6,4]=>[6,3,7,1,4,8,5,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[7,1,8,3,2,6,4,5]=>[2,8,1,6,7,3,5,4]=>[4,2,7,1,8,5,6,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[7,2,1,8,6,3,4,5]=>[2,7,8,1,3,6,5,4]=>[5,2,6,1,8,7,3,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,2,8,7,5,3,6,4]=>[8,7,1,2,4,6,3,5]=>[4,5,8,6,1,7,3,2]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>[4,7,5,8,1,6,3,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>[6,4,7,8,1,5,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[4,1,7,3,6,5,8,2]=>[5,8,2,6,3,4,1,7]=>[8,4,6,7,2,5,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[8,1,7,6,3,4,5,2]=>[1,8,2,3,6,5,4,7]=>[2,4,5,8,7,6,1,3]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[5,7,8,6,2,4,1,3]=>[4,2,1,3,7,5,8,6]=>[4,3,5,2,7,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[6,4,1,5,2,7,3,8]=>[3,5,8,4,7,2,6,1]=>[1,7,2,5,3,8,6,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[8,1,4,5,3,7,6,2]=>[1,8,5,4,6,2,3,7]=>[2,7,8,5,4,6,1,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[6,1,4,5,3,8,7,2]=>[3,8,5,4,6,1,2,7]=>[7,8,2,5,4,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,1,4,5,3,7,8,2]=>[3,8,5,4,6,2,1,7]=>[8,7,2,5,4,6,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[5,1,7,8,6,2,4,3]=>[4,8,2,1,3,7,5,6]=>[5,4,6,2,8,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[6,1,4,8,3,5,7,2]=>[3,8,5,1,6,4,2,7]=>[5,8,2,7,4,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[7,1,4,5,3,8,6,2]=>[2,8,5,4,6,1,3,7]=>[7,2,8,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[7,1,4,5,3,6,8,2]=>[2,8,5,4,6,3,1,7]=>[8,2,7,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[8,1,4,5,3,6,7,2]=>[1,8,5,4,6,3,2,7]=>[2,8,7,5,4,6,1,3]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[7,4,1,5,2,6,3,8]=>[2,5,8,4,7,3,6,1]=>[1,2,7,5,3,8,6,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[6,3,5,7,2,1,4,8]=>[3,6,4,2,7,8,5,1]=>[1,5,2,4,8,3,6,7]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,8,2,1,7,4]=>[3,6,4,1,7,8,2,5]=>[5,8,2,4,1,3,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[6,4,5,8,3,7,2,1]=>[3,5,4,1,6,2,7,8]=>[5,7,2,4,3,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,7,6,2,4,1,3]=>[4,1,2,3,7,5,8,6]=>[3,4,5,2,7,1,6,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[5,4,1,8,2,3,7,6]=>[4,5,8,1,7,6,2,3]=>[5,8,1,2,3,7,6,4]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[8,4,1,5,2,6,3,7]=>[1,5,8,4,7,3,6,2]=>[2,1,7,5,3,8,6,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[6,3,5,8,2,1,4,7]=>[3,6,4,1,7,8,5,2]=>[5,1,2,4,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,4,1,8,6,5,7]=>[7,6,5,8,1,3,4,2]=>[6,1,7,8,4,3,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[8,3,5,6,2,1,4,7]=>[1,6,4,3,7,8,5,2]=>[2,1,5,4,8,3,6,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,8,6,1,5,7,4]=>[7,6,1,3,8,4,2,5]=>[4,8,5,7,1,3,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,8,6,7,1,3,5,4]=>[7,1,3,2,8,6,4,5]=>[3,5,4,8,1,7,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,4,5,6,3,1,7,2]=>[1,5,4,3,6,8,2,7]=>[2,8,5,4,3,6,1,7]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[7,3,5,8,2,1,6,4]=>[2,6,4,1,7,8,3,5]=>[5,2,8,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[7,3,5,6,2,1,4,8]=>[2,6,4,3,7,8,5,1]=>[1,2,5,4,8,3,6,7]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,7,6,5,1,3,4,8]=>[7,2,3,4,8,6,5,1]=>[1,3,4,5,8,7,2,6]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[8,7,5,6,1,4,2,3]=>[1,2,4,3,8,5,7,6]=>[2,3,5,4,7,1,8,6]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,6,1,3,8,5,7,4]=>[7,3,8,6,1,4,2,5]=>[6,8,3,7,1,5,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,4,1,5,2,3,7,6]=>[1,5,8,4,7,6,2,3]=>[2,8,1,5,3,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[7,8,1,6,3,4,2,5]=>[2,1,8,3,6,5,7,4]=>[3,2,5,1,7,6,8,4]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,8,6,1,7,3,4,5]=>[7,1,3,8,2,6,5,4]=>[3,6,4,1,8,7,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,8,1,6,4,7,5]=>[7,6,1,8,3,5,2,4]=>[4,8,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,8,1,4,5,7,6]=>[7,6,1,8,5,4,2,3]=>[4,8,1,7,6,3,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,8,6,1,4,3,5,7]=>[7,1,3,8,5,6,4,2]=>[3,1,4,8,6,7,2,5]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[1,2,3,4,5,6,7,9,8]=>[9,8,7,6,5,4,3,1,2]=>[9,1,8,7,6,5,4,3,2]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>[1,9,8,7,6,5,4,2,3]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[1,2,3,4,5,6,7,8,10,9]=>[10,9,8,7,6,5,4,3,1,2]=>[10,1,9,8,7,6,5,4,3,2]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]
[2,1,3,4,5,6,7,8,9,10]=>[9,10,8,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,4,2,3]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[1,2,3,4,5,6,7,8,9,11,10]=>[11,10,9,8,7,6,5,4,3,1,2]=>[11,1,10,9,8,7,6,5,4,3,2]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[9,1,2,3,4,5,6,7,10,8]=>[2,10,9,8,7,6,5,4,1,3]=>[10,2,1,9,8,7,6,5,4,3]=>[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]
[1,8,2,3,4,5,6,9,7]=>[9,2,8,7,6,5,4,1,3]=>[9,3,1,8,7,6,5,4,2]=>[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]
[1,7,6,5,4,2,3,8]=>[8,2,3,4,5,7,6,1]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[1,8,6,5,2,7,3,4]=>[8,1,3,4,7,2,6,5]=>[3,7,4,5,1,8,6,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[7,8,5,4,1,3,6,2]=>[2,1,4,5,8,6,3,7]=>[3,2,8,4,5,7,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[5,8,6,2,4,1,7,3]=>[4,1,3,7,5,8,2,6]=>[3,8,4,2,6,1,5,7]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[3,2,1,7,6,4,5,8]=>[6,7,8,2,3,5,4,1]=>[1,5,6,8,7,2,3,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[4,1,3,7,6,2,5,8]=>[5,8,6,2,3,7,4,1]=>[1,5,6,8,2,4,7,3]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[5,1,7,3,6,2,4,8]=>[4,8,2,6,3,7,5,1]=>[1,4,6,2,8,5,7,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[6,1,7,5,3,2,4,8]=>[3,8,2,4,6,7,5,1]=>[1,4,2,5,8,6,7,3]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[7,1,6,5,2,4,3,8]=>[2,8,3,4,7,5,6,1]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[2,8,4,5,1,7,6,3]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,2,7,6,3,4,5,8]=>[8,7,2,3,6,5,4,1]=>[1,4,5,8,7,6,3,2]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]]
[1,2,8,3,7,4,5,6]=>[8,7,1,6,2,5,4,3]=>[4,6,1,8,7,5,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[2,4,6,8,1,7,5,3]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[4,2,6,1,7,8,5,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[5,1,8,3,2,7,4,6]=>[4,8,1,6,7,2,5,3]=>[4,7,1,2,8,5,6,3]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[4,1,3,8,2,7,5,6]=>[5,8,6,1,7,2,4,3]=>[5,7,1,8,2,4,6,3]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[3,2,1,8,4,7,5,6]=>[6,7,8,1,5,2,4,3]=>[5,7,1,8,6,2,3,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,2,8,7,1,6,5,4]=>[6,7,1,2,8,3,4,5]=>[4,5,7,8,1,2,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]=>[3,5,7,8,2,1,4,6]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]=>[3,4,7,2,8,1,5,6]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[6,8,7,1,3,5,4,2]=>[3,1,2,8,6,4,5,7]=>[3,4,2,7,8,6,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[7,8,6,1,5,3,4,2]=>[2,1,3,8,4,6,5,7]=>[3,2,4,6,8,7,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>[2,3,4,6,7,8,1,5]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,8,7,2,6,5,3,4]=>[8,1,2,7,3,4,6,5]=>[3,4,6,7,1,8,5,2]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[1,7,8,2,5,6,3,4]=>[8,2,1,7,4,3,6,5]=>[4,3,7,6,1,8,5,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,6,8,1,4,3,5,2]=>[2,3,1,8,5,6,4,7]=>[4,2,3,8,6,7,1,5]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[6,5,8,3,2,1,7,4]=>[3,4,1,6,7,8,2,5]=>[4,8,2,3,1,5,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[7,5,8,3,1,4,6,2]=>[2,4,1,6,8,5,3,7]=>[4,2,8,3,7,5,1,6]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]=>[2,4,7,3,8,5,1,6]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[1,6,8,4,2,7,3,5]=>[8,3,1,5,7,2,6,4]=>[4,7,3,1,5,8,6,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[7,4,3,8,1,5,6,2]=>[2,5,6,1,8,4,3,7]=>[5,2,8,7,3,4,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>[1,8,2,6,3,4,7,5]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[7,4,3,1,2,6,5,8]=>[2,5,6,8,7,3,4,1]=>[1,2,7,8,3,4,6,5]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[1,5,4,2,3,6,7,8]=>[8,4,5,7,6,3,2,1]=>[1,8,7,3,4,6,5,2]=>[.,[[[[.,.],.],[.,[[.,.],.]]],.]]
[7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>[1,2,7,3,5,8,6,4]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[6,5,1,4,3,2,7,8]=>[3,4,8,5,6,7,2,1]=>[1,8,2,3,5,6,7,4]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[4,6,2,1,5,3,7,8]=>[5,3,7,8,4,6,2,1]=>[1,8,3,6,2,7,4,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,6,1,5,4,7,8]=>[6,7,3,8,4,5,2,1]=>[1,8,4,6,7,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,7,1,2,4,5,3,8]=>[3,2,8,7,5,4,6,1]=>[1,3,2,7,6,8,5,4]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]]
[7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>[1,2,3,6,7,8,5,4]=>[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]
[8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>[2,8,3,6,1,7,5,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,7,2,3,6,4,5,8]=>[8,2,7,6,3,5,4,1]=>[1,3,6,8,7,5,4,2]=>[.,[[.,[[[.,[[.,.],.]],.],.]],.]]
[8,7,1,2,3,6,5,4]=>[1,2,8,7,6,3,4,5]=>[2,3,7,8,1,6,5,4]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[7,8,1,2,3,5,6,4]=>[2,1,8,7,6,4,3,5]=>[3,2,8,7,1,6,5,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[6,8,1,2,4,3,7,5]=>[3,1,8,7,5,6,2,4]=>[3,8,2,1,6,7,5,4]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[4,8,2,1,3,5,7,6]=>[5,1,7,8,6,4,2,3]=>[3,8,1,7,2,6,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,8,1,4,5,7,6]=>[6,7,1,8,5,4,2,3]=>[4,8,1,7,6,2,3,5]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[1,8,7,6,2,4,5,3]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[1,8,7,2,5,6,4,3]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[6,1,2,3,5,4,7,8]=>[3,8,7,6,4,5,2,1]=>[1,8,2,6,7,5,4,3]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]
[7,1,2,3,4,6,5,8]=>[2,8,7,6,5,3,4,1]=>[1,2,7,8,6,5,4,3]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]]
[8,1,2,3,4,5,7,6]=>[1,8,7,6,5,4,2,3]=>[2,8,1,7,6,5,4,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,7,4,5,1,8,3,2]=>[3,2,5,4,8,1,6,7]=>[7,3,2,5,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[5,4,7,6,8,1,2,3]=>[4,5,2,3,1,8,7,6]=>[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,8,4,5,7,1,2,6]=>[6,1,5,4,2,8,7,3]=>[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,5,6,7,1,8,3,2]=>[5,4,3,2,8,1,6,7]=>[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[3,5,6,2,7,4,8,1]=>[6,4,3,7,2,5,1,8]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[3,5,6,1,7,8,4,2]=>[6,4,3,8,2,1,5,7]=>[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[2,5,6,1,8,7,4,3]=>[7,4,3,8,1,2,5,6]=>[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[2,5,6,8,1,7,3,4]=>[7,4,3,1,8,2,6,5]=>[5,7,4,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[8,2,4,5,1,6,3,7]=>[1,7,5,4,8,3,6,2]=>[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,4,8,6,2,3,7,5]=>[8,5,1,3,7,6,2,4]=>[4,8,5,1,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[1,5,6,2,8,4,7,3]=>[8,4,3,7,1,5,2,6]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,5,6,3,4,7,8,1]=>[7,4,3,6,5,2,1,8]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[1,4,2,6,8,5,7,3]=>[8,5,7,3,1,4,2,6]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[8,1,3,2,5,4,6,7]=>[1,8,6,7,4,5,3,2]=>[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[8,2,3,1,5,6,4,7]=>[1,7,6,8,4,3,5,2]=>[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,8,3,1,5,7,4,6]=>[7,1,6,8,4,2,5,3]=>[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,4,1,6,8,7,5,3]=>[7,5,8,3,1,2,4,6]=>[6,7,5,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[3,4,1,6,7,8,5,2]=>[6,5,8,3,2,1,4,7]=>[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[4,3,1,7,6,8,5,2]=>[5,6,8,2,3,1,4,7]=>[7,5,6,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[5,4,7,2,1,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[5,3,7,2,6,4,8,1]=>[4,6,2,7,3,5,1,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,7,3,1,5,8,4,2]=>[3,2,6,8,4,1,5,7]=>[7,3,2,6,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[6,7,2,1,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,7,2,8,1,5,3,4]=>[3,2,7,1,8,4,6,5]=>[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[6,7,8,2,1,4,3,5]=>[3,2,1,7,8,5,6,4]=>[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[6,7,1,2,8,4,5,3]=>[3,2,8,7,1,5,4,6]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[6,7,1,3,4,8,5,2]=>[3,2,8,6,5,1,4,7]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[5,2,7,3,4,6,8,1]=>[4,7,2,6,5,3,1,8]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,1,7,3,4,8,6,2]=>[4,8,2,6,5,1,3,7]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[5,1,7,8,2,3,6,4]=>[4,8,2,1,7,6,3,5]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,1,8,7,2,3,6,5]=>[5,8,1,2,7,6,3,4]=>[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[3,8,1,2,7,4,5,6]=>[6,1,8,7,2,5,4,3]=>[3,6,1,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,1,3,7,5,8,6,2]=>[5,8,6,2,4,1,3,7]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,1,4,5,7,8,6,2]=>[6,8,5,4,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[2,1,8,3,4,7,6,5]=>[7,8,1,6,5,2,3,4]=>[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[8,2,1,3,4,6,5,7]=>[1,7,8,6,5,3,4,2]=>[2,1,7,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,8,2,3,4,5,7,6]=>[8,1,7,6,5,4,2,3]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[1,2,8,3,4,6,7,5]=>[8,7,1,6,5,3,2,4]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[4,2,1,6,5,8,7,3]=>[5,7,8,3,4,1,2,6]=>[7,8,5,6,2,1,3,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[5,2,6,1,4,8,7,3]=>[4,7,3,8,5,1,2,6]=>[7,8,4,2,6,1,3,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,2,6,4,1,8,7,3]=>[4,7,3,5,8,1,2,6]=>[7,8,4,2,5,1,3,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,2,7,4,8,1,6,3]=>[4,7,2,5,1,8,3,6]=>[6,4,8,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,2,7,4,8,6,1,3]=>[4,7,2,5,1,3,8,6]=>[6,4,7,2,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,7,2,3,8,6,1,4]=>[4,2,7,6,1,3,8,5]=>[6,3,7,2,1,5,4,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[5,7,2,3,8,1,6,4]=>[4,2,7,6,1,8,3,5]=>[6,3,8,2,1,5,4,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[5,6,2,3,1,8,7,4]=>[4,3,7,6,8,1,2,5]=>[7,8,3,2,1,5,4,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[5,6,2,1,3,8,7,4]=>[4,3,7,8,6,1,2,5]=>[7,8,3,2,1,6,4,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[5,1,6,4,2,8,7,3]=>[4,8,3,5,7,1,2,6]=>[7,8,4,2,5,1,6,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[5,6,1,3,2,8,7,4]=>[4,3,8,6,7,1,2,5]=>[7,8,3,2,1,5,6,4]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]
[5,6,3,1,2,8,7,4]=>[4,3,6,8,7,1,2,5]=>[7,8,3,2,1,4,6,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[5,6,3,2,1,8,7,4]=>[4,3,6,7,8,1,2,5]=>[7,8,3,2,1,4,5,6]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[5,7,3,2,8,1,6,4]=>[4,2,6,7,1,8,3,5]=>[6,3,8,2,1,4,5,7]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[5,7,3,2,8,6,1,4]=>[4,2,6,7,1,3,8,5]=>[6,3,7,2,1,4,5,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[6,7,3,8,2,1,5,4]=>[3,2,6,1,7,8,4,5]=>[5,3,2,8,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[6,7,3,8,1,2,5,4]=>[3,2,6,1,8,7,4,5]=>[5,3,2,8,1,4,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[5,7,3,1,8,2,6,4]=>[4,2,6,8,1,7,3,5]=>[6,3,8,2,1,4,7,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[5,7,1,3,8,2,6,4]=>[4,2,8,6,1,7,3,5]=>[6,3,8,2,1,5,7,4]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[5,1,7,4,8,2,6,3]=>[4,8,2,5,1,7,3,6]=>[6,4,8,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,5,7,4,8,3,6,2]=>[8,4,2,5,1,6,3,7]=>[6,4,8,3,5,7,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,5,7,4,8,6,3,2]=>[8,4,2,5,1,3,6,7]=>[6,4,7,3,5,8,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,4,8,6,2,3]=>[4,8,2,5,1,3,7,6]=>[6,4,7,2,5,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,7,1,3,8,6,2,4]=>[4,2,8,6,1,3,7,5]=>[6,3,7,2,1,5,8,4]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[6,3,7,2,1,4,8,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[6,7,3,8,1,5,2,4]=>[3,2,6,1,8,4,7,5]=>[5,3,2,7,1,4,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,7,3,8,5,2,1,4]=>[3,2,6,1,4,7,8,5]=>[5,3,2,6,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[6,7,8,3,1,4,2,5]=>[3,2,1,6,8,5,7,4]=>[4,3,2,1,7,5,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[6,7,1,8,3,5,2,4]=>[3,2,8,1,6,4,7,5]=>[5,3,2,7,1,6,8,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[6,1,7,8,4,5,2,3]=>[3,8,2,1,5,4,7,6]=>[5,4,2,7,6,1,8,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[1,6,7,8,4,5,3,2]=>[8,3,2,1,5,4,6,7]=>[5,4,3,7,6,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[1,6,7,8,4,3,5,2]=>[8,3,2,1,5,6,4,7]=>[5,4,3,8,6,7,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,1,7,8,4,2,5,3]=>[3,8,2,1,5,7,4,6]=>[5,4,2,8,6,1,7,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[6,7,1,8,3,2,5,4]=>[3,2,8,1,6,7,4,5]=>[5,3,2,8,1,6,7,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[5,7,2,1,8,3,6,4]=>[4,2,7,8,1,6,3,5]=>[6,3,8,2,1,7,4,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[6,7,2,8,1,3,5,4]=>[3,2,7,1,8,6,4,5]=>[5,3,2,8,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[6,7,2,8,3,1,5,4]=>[3,2,7,1,6,8,4,5]=>[5,3,2,8,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[6,7,2,8,3,5,1,4]=>[3,2,7,1,6,4,8,5]=>[5,3,2,7,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[6,2,7,8,4,5,1,3]=>[3,7,2,1,5,4,8,6]=>[5,4,2,7,6,1,3,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,2,7,8,4,1,5,3]=>[3,7,2,1,5,8,4,6]=>[5,4,2,8,6,1,3,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,2,7,8,1,4,5,3]=>[3,7,2,1,8,5,4,6]=>[5,4,2,8,7,1,3,6]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[5,2,7,1,8,4,6,3]=>[4,7,2,8,1,5,3,6]=>[6,4,8,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[4,2,1,7,8,5,6,3]=>[5,7,8,2,1,4,3,6]=>[6,5,8,7,2,1,3,4]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[4,1,2,7,8,6,5,3]=>[5,8,7,2,1,3,4,6]=>[6,5,7,8,2,1,4,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[6,2,7,8,1,5,4,3]=>[3,7,2,1,8,4,5,6]=>[5,4,2,7,8,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,2,7,8,5,1,4,3]=>[3,7,2,1,4,8,5,6]=>[5,4,2,6,8,1,3,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,2,7,8,5,4,1,3]=>[3,7,2,1,4,5,8,6]=>[5,4,2,6,7,1,3,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,7,2,8,5,3,1,4]=>[3,2,7,1,4,6,8,5]=>[5,3,2,6,1,7,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[5,7,2,1,8,6,3,4]=>[4,2,7,8,1,3,6,5]=>[6,3,7,2,1,8,4,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[5,7,1,2,8,6,3,4]=>[4,2,8,7,1,3,6,5]=>[6,3,7,2,1,8,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[5,1,7,2,8,6,4,3]=>[4,8,2,7,1,3,5,6]=>[6,4,7,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,5,7,3,8,6,4,2]=>[8,4,2,6,1,3,5,7]=>[6,4,7,3,8,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,6,7,8,3,5,4,2]=>[8,3,2,1,6,4,5,7]=>[5,4,3,7,8,6,1,2]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[6,1,7,8,2,5,4,3]=>[3,8,2,1,7,4,5,6]=>[5,4,2,7,8,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,7,1,8,2,5,3,4]=>[3,2,8,1,7,4,6,5]=>[5,3,2,7,1,8,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[6,7,8,2,4,1,3,5]=>[3,2,1,7,5,8,6,4]=>[4,3,2,1,6,8,5,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[6,7,8,2,4,3,1,5]=>[3,2,1,7,5,6,8,4]=>[4,3,2,1,6,7,5,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[6,7,1,8,5,2,3,4]=>[3,2,8,1,4,7,6,5]=>[5,3,2,6,1,8,7,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[6,1,7,8,5,2,4,3]=>[3,8,2,1,4,7,5,6]=>[5,4,2,6,8,1,7,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,6,7,8,5,3,4,2]=>[8,3,2,1,4,6,5,7]=>[5,4,3,6,8,7,1,2]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[6,1,7,8,5,4,2,3]=>[3,8,2,1,4,5,7,6]=>[5,4,2,6,7,1,8,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,7,1,8,5,3,2,4]=>[3,2,8,1,4,6,7,5]=>[5,3,2,6,1,7,8,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[6,7,8,4,1,3,2,5]=>[3,2,1,5,8,6,7,4]=>[4,3,2,1,5,7,8,6]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[6,3,8,5,2,7,4,1]=>[3,6,1,4,7,2,5,8]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,6,1,4,8,7,3,2]=>[4,3,8,5,1,2,6,7]=>[6,7,3,2,5,8,1,4]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[3,6,4,8,5,7,1,2]=>[6,3,5,1,4,2,8,7]=>[5,7,3,6,4,2,1,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[5,1,4,8,6,3,7,2]=>[4,8,5,1,3,6,2,7]=>[5,8,6,2,4,7,1,3]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[3,4,7,1,8,6,5,2]=>[6,5,2,8,1,3,4,7]=>[6,4,7,8,3,2,1,5]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]]
[3,6,8,7,1,4,2,5]=>[6,3,1,2,8,5,7,4]=>[4,5,3,1,7,2,8,6]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[5,3,7,1,6,8,2,4]=>[4,6,2,8,3,1,7,5]=>[7,4,6,2,1,3,8,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[4,3,8,5,6,7,2,1]=>[5,6,1,4,3,2,7,8]=>[4,7,6,5,2,3,8,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[4,6,1,2,7,8,5,3]=>[5,3,8,7,2,1,4,6]=>[7,6,3,8,2,1,5,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[3,6,4,2,8,7,5,1]=>[6,3,5,7,1,2,4,8]=>[6,7,3,8,4,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,3,7,5,2,8,1,4]=>[3,6,2,4,7,1,8,5]=>[7,4,2,5,1,3,6,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,3,8,7,4,1,2,6]=>[4,6,1,2,5,8,7,3]=>[4,5,1,2,6,3,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,3,8,7,1,5,6,2]=>[5,6,1,2,8,4,3,7]=>[4,5,8,7,2,3,1,6]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[8,3,6,1,2,5,7,4]=>[1,6,3,8,7,4,2,5]=>[2,8,4,7,1,3,6,5]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[5,6,1,8,7,3,2,4]=>[4,3,8,1,2,6,7,5]=>[5,6,3,2,1,7,8,4]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]
[5,4,2,7,3,6,8,1]=>[4,5,7,2,6,3,1,8]=>[8,5,7,2,3,6,4,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[6,4,1,5,3,8,2,7]=>[3,5,8,4,6,1,7,2]=>[7,1,2,5,3,6,8,4]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[8,2,6,3,4,7,5,1]=>[1,7,3,6,5,2,4,8]=>[2,7,4,8,6,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[7,2,6,3,5,4,8,1]=>[2,7,3,6,4,5,1,8]=>[8,2,4,6,7,5,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,5,3,4,8,1]=>[7,2,3,4,6,5,1,8]=>[8,3,4,5,7,6,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[6,5,4,3,1,8,2,7]=>[3,4,5,6,8,1,7,2]=>[7,1,2,3,4,5,8,6]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,5,4,1,8,3,2,6]=>[2,4,5,8,1,6,7,3]=>[6,2,1,3,4,7,8,5]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[5,4,6,3,1,8,2,7]=>[4,5,3,6,8,1,7,2]=>[7,1,4,2,3,5,8,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,2,6,4,7,3,1]=>[4,1,7,3,5,2,6,8]=>[3,7,5,2,6,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,8,6,2,5,7,4,1]=>[6,1,3,7,4,2,5,8]=>[3,7,4,6,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,8,5,3,2,6,4,1]=>[2,1,4,6,7,3,5,8]=>[3,2,7,4,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,5,2,6,4,3,1]=>[1,2,4,7,3,5,6,8]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[8,7,1,6,2,5,4,3]=>[1,2,8,3,7,4,5,6]=>[2,3,5,7,8,1,6,4]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,8,1,6,3,2,5,4]=>[2,1,8,3,6,7,4,5]=>[3,2,5,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,8,1,7,3,5,6,4]=>[7,1,8,2,6,4,3,5]=>[3,5,8,7,1,6,2,4]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[3,8,6,1,7,4,5,2]=>[6,1,3,8,2,5,4,7]=>[3,6,4,8,7,2,1,5]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[4,8,1,3,7,2,6,5]=>[5,1,8,6,2,7,3,4]=>[3,6,8,1,2,5,7,4]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,2,8,5,7,3,6,1]=>[5,7,1,4,2,6,3,8]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,7,3,1,8,4,2,5]=>[3,2,6,8,1,5,7,4]=>[6,3,2,1,7,4,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,6,1,8,4,3,2,5]=>[2,3,8,1,5,6,7,4]=>[5,2,3,1,6,7,8,4]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>[2,5,3,8,6,1,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[8,1,2,7,3,4,6,5]=>[1,8,7,2,6,5,3,4]=>[2,5,8,1,7,6,4,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[8,3,1,4,7,5,6,2]=>[1,6,8,5,2,4,3,7]=>[2,6,8,7,5,3,1,4]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]]
[7,3,1,5,8,4,2,6]=>[2,6,8,4,1,5,7,3]=>[6,2,1,5,7,3,8,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,2,1,5,8,3,6,7]=>[5,7,8,4,1,6,3,2]=>[6,1,8,5,2,7,3,4]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,4,2,7,1,8,3,6]=>[4,5,7,2,8,1,6,3]=>[7,5,1,2,3,8,4,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,7,5,6,8,3,2,1]=>[5,2,4,3,1,6,7,8]=>[6,3,5,4,2,7,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[6,5,4,8,2,7,3,1]=>[3,4,5,1,7,2,6,8]=>[5,7,2,3,4,8,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[8,6,4,7,5,3,2,1]=>[1,3,5,2,4,6,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,1,8,3,7,6,2,4]=>[4,8,1,6,2,3,7,5]=>[4,6,7,2,1,5,8,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[7,5,8,3,2,6,4,1]=>[2,4,1,6,7,3,5,8]=>[4,2,7,3,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,6,8,2,4,7,5,1]=>[6,3,1,7,5,2,4,8]=>[4,7,3,8,6,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[5,7,3,8,2,6,4,1]=>[4,2,6,1,7,3,5,8]=>[5,3,7,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,4,6,8,2,7,3,1]=>[4,5,3,1,7,2,6,8]=>[5,7,4,2,3,8,6,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[4,7,2,8,6,3,5,1]=>[5,2,7,1,3,6,4,8]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[3,6,8,1,7,2,5,4]=>[6,3,1,8,2,7,4,5]=>[4,6,3,8,1,2,7,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,3,8,7,4,5,6,1]=>[7,6,1,2,5,4,3,8]=>[4,5,8,7,6,3,2,1]=>[[[[.,[.,[[[.,.],.],.]]],.],.],.]
[2,1,8,7,5,6,3,4]=>[7,8,1,2,4,3,6,5]=>[4,5,7,6,1,8,2,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[8,2,7,6,3,5,4,1]=>[1,7,2,3,6,4,5,8]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[8,1,7,6,5,2,4,3]=>[1,8,2,3,4,7,5,6]=>[2,4,5,6,8,1,7,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,1,8,6,5,3,2,4]=>[2,8,1,3,4,6,7,5]=>[4,2,5,6,1,7,8,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[1,2,8,7,6,3,4,5]=>[8,7,1,2,3,6,5,4]=>[4,5,6,1,8,7,3,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[1,3,8,7,4,6,2,5]=>[8,6,1,2,5,3,7,4]=>[4,5,7,1,6,3,8,2]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[1,5,8,3,7,6,2,4]=>[8,4,1,6,2,3,7,5]=>[4,6,7,3,1,5,8,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[5,1,6,8,7,4,2,3]=>[4,8,3,1,2,5,7,6]=>[5,6,4,2,7,1,8,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,8,4,7,5,3,2,1]=>[3,1,5,2,4,6,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,8,7,6,4,5,2,1]=>[6,1,2,3,5,4,7,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,8,7,6,5,3,4,1]=>[7,1,2,3,4,6,5,8]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[1,8,7,6,5,4,2,3]=>[8,1,2,3,4,5,7,6]=>[3,4,5,6,7,1,8,2]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,8,6,7,3,4,1,2]=>[4,1,3,2,6,5,8,7]=>[3,5,4,2,7,6,1,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[4,8,6,7,3,5,1,2]=>[5,1,3,2,6,4,8,7]=>[3,5,4,7,2,6,1,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[3,8,6,7,4,5,1,2]=>[6,1,3,2,5,4,8,7]=>[3,5,4,7,6,2,1,8]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[2,8,6,7,4,5,1,3]=>[7,1,3,2,5,4,8,6]=>[3,5,4,7,6,1,2,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[1,8,6,7,4,5,2,3]=>[8,1,3,2,5,4,7,6]=>[3,5,4,7,6,1,8,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[1,8,5,7,4,6,2,3]=>[8,1,4,2,5,3,7,6]=>[3,5,7,4,6,1,8,2]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[3,8,5,7,4,6,1,2]=>[6,1,4,2,5,3,8,7]=>[3,5,7,4,6,2,1,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[4,8,5,7,3,6,1,2]=>[5,1,4,2,6,3,8,7]=>[3,5,7,4,2,6,1,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[7,8,3,6,4,5,1,2]=>[2,1,6,3,5,4,8,7]=>[3,2,5,7,6,4,1,8]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]
[6,8,3,7,4,5,1,2]=>[3,1,6,2,5,4,8,7]=>[3,5,2,7,6,4,1,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[5,8,3,7,4,6,1,2]=>[4,1,6,2,5,3,8,7]=>[3,5,7,2,6,4,1,8]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[3,7,4,8,5,6,1,2]=>[6,2,5,1,4,3,8,7]=>[5,3,7,6,4,2,1,8]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[4,7,3,8,5,6,1,2]=>[5,2,6,1,4,3,8,7]=>[5,3,7,6,2,4,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[4,7,2,8,5,6,1,3]=>[5,2,7,1,4,3,8,6]=>[5,3,7,6,2,1,4,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[4,7,1,8,5,6,2,3]=>[5,2,8,1,4,3,7,6]=>[5,3,7,6,2,1,8,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[5,3,7,6,1,2,8,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,7,2,8,5,6,1,4]=>[6,2,7,1,4,3,8,5]=>[5,3,7,6,1,2,4,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,7,3,8,5,6,1,4]=>[7,2,6,1,4,3,8,5]=>[5,3,7,6,1,4,2,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,7,4,8,5,6,1,3]=>[7,2,5,1,4,3,8,6]=>[5,3,7,6,4,1,2,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[5,8,2,7,4,6,1,3]=>[4,1,7,2,5,3,8,6]=>[3,5,7,2,6,1,4,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[6,8,2,7,4,5,1,3]=>[3,1,7,2,5,4,8,6]=>[3,5,2,7,6,1,4,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[7,8,2,6,4,5,1,3]=>[2,1,7,3,5,4,8,6]=>[3,2,5,7,6,1,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[7,8,1,6,4,5,2,3]=>[2,1,8,3,5,4,7,6]=>[3,2,5,7,6,1,8,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[6,8,1,7,4,5,2,3]=>[3,1,8,2,5,4,7,6]=>[3,5,2,7,6,1,8,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[5,8,1,7,4,6,2,3]=>[4,1,8,2,5,3,7,6]=>[3,5,7,2,6,1,8,4]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[1,7,4,8,5,6,2,3]=>[8,2,5,1,4,3,7,6]=>[5,3,7,6,4,1,8,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[5,3,7,6,1,4,8,2]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,8,5,6,1,7,3,4]=>[7,1,4,3,8,2,6,5]=>[3,7,5,4,1,8,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,8,5,6,2,7,3,4]=>[8,1,4,3,7,2,6,5]=>[3,7,5,4,1,8,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[1,7,3,8,4,6,2,5]=>[8,2,6,1,5,3,7,4]=>[5,3,7,1,6,4,8,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[4,8,1,7,3,6,2,5]=>[5,1,8,2,6,3,7,4]=>[3,5,7,1,2,6,8,4]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,8,1,7,3,6,2,4]=>[4,1,8,2,6,3,7,5]=>[3,5,7,2,1,6,8,4]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[6,8,1,7,3,5,2,4]=>[3,1,8,2,6,4,7,5]=>[3,5,2,7,1,6,8,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[7,8,2,6,3,5,1,4]=>[2,1,7,3,6,4,8,5]=>[3,2,5,7,1,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,8,2,7,3,5,1,4]=>[3,1,7,2,6,4,8,5]=>[3,5,2,7,1,6,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,8,2,7,3,6,1,4]=>[4,1,7,2,6,3,8,5]=>[3,5,7,2,1,6,4,8]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,8,2,7,3,6,1,5]=>[5,1,7,2,6,3,8,4]=>[3,5,7,1,2,6,4,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[2,7,3,8,4,6,1,5]=>[7,2,6,1,5,3,8,4]=>[5,3,7,1,6,4,2,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,7,2,8,4,6,1,5]=>[6,2,7,1,5,3,8,4]=>[5,3,7,1,6,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,7,1,8,4,6,2,5]=>[6,2,8,1,5,3,7,4]=>[5,3,7,1,6,2,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,4,7,3,6,2,5]=>[8,1,5,2,6,3,7,4]=>[3,5,7,1,4,6,8,2]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,8,4,7,3,6,1,5]=>[7,1,5,2,6,3,8,4]=>[3,5,7,1,4,6,2,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,8,4,7,2,6,1,5]=>[6,1,5,2,7,3,8,4]=>[3,5,7,1,4,2,6,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,8,5,7,2,6,1,3]=>[5,1,4,2,7,3,8,6]=>[3,5,7,4,2,1,6,8]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[3,8,5,7,2,6,1,4]=>[6,1,4,2,7,3,8,5]=>[3,5,7,4,1,2,6,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[2,8,5,7,3,6,1,4]=>[7,1,4,2,6,3,8,5]=>[3,5,7,4,1,6,2,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[1,8,5,7,3,6,2,4]=>[8,1,4,2,6,3,7,5]=>[3,5,7,4,1,6,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[1,8,6,7,3,5,2,4]=>[8,1,3,2,6,4,7,5]=>[3,5,4,7,1,6,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,8,6,7,3,5,1,4]=>[7,1,3,2,6,4,8,5]=>[3,5,4,7,1,6,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,8,6,7,2,5,1,4]=>[6,1,3,2,7,4,8,5]=>[3,5,4,7,1,2,6,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,8,6,7,2,5,1,3]=>[5,1,3,2,7,4,8,6]=>[3,5,4,7,2,1,6,8]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[5,8,6,7,2,4,1,3]=>[4,1,3,2,7,5,8,6]=>[3,5,4,2,7,1,6,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[6,8,5,7,1,4,2,3]=>[3,1,4,2,8,5,7,6]=>[3,5,2,4,7,1,8,6]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,8,6,7,1,4,2,3]=>[4,1,3,2,8,5,7,6]=>[3,5,4,2,7,1,8,6]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[4,8,6,7,1,5,2,3]=>[5,1,3,2,8,4,7,6]=>[3,5,4,7,2,1,8,6]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[3,8,6,7,1,5,2,4]=>[6,1,3,2,8,4,7,5]=>[3,5,4,7,1,2,8,6]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,5,2,8,6,7,3,4]=>[8,4,7,1,3,2,6,5]=>[5,7,6,3,1,8,4,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,5,1,8,6,7,3,4]=>[7,4,8,1,3,2,6,5]=>[5,7,6,3,1,8,2,4]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[2,6,1,8,5,7,3,4]=>[7,3,8,1,4,2,6,5]=>[5,7,3,6,1,8,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,6,2,8,5,7,3,4]=>[8,3,7,1,4,2,6,5]=>[5,7,3,6,1,8,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,8,5,7,1,6,2,4]=>[6,1,4,2,8,3,7,5]=>[3,5,7,4,1,2,8,6]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[6,8,4,7,1,5,2,3]=>[3,1,5,2,8,4,7,6]=>[3,5,2,7,4,1,8,6]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[7,8,4,6,1,5,2,3]=>[2,1,5,3,8,4,7,6]=>[3,2,5,7,4,1,8,6]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[7,8,3,6,1,5,2,4]=>[2,1,6,3,8,4,7,5]=>[3,2,5,7,1,4,8,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[6,8,3,7,1,5,2,4]=>[3,1,6,2,8,4,7,5]=>[3,5,2,7,1,4,8,6]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[4,8,3,7,1,6,2,5]=>[5,1,6,2,8,3,7,4]=>[3,5,7,1,2,4,8,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,8,4,7,1,6,2,5]=>[6,1,5,2,8,3,7,4]=>[3,5,7,1,4,2,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,6,2,8,4,7,3,5]=>[8,3,7,1,5,2,6,4]=>[5,7,3,1,6,8,4,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[2,6,1,8,4,7,3,5]=>[7,3,8,1,5,2,6,4]=>[5,7,3,1,6,8,2,4]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[3,7,2,6,1,8,4,5]=>[6,2,7,3,8,1,5,4]=>[7,3,5,1,8,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,7,1,6,2,8,4,5]=>[6,2,8,3,7,1,5,4]=>[7,3,5,1,8,2,6,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,8,1,6,2,7,3,5]=>[5,1,8,3,7,2,6,4]=>[3,7,5,1,2,8,6,4]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[5,8,1,6,2,7,3,4]=>[4,1,8,3,7,2,6,5]=>[3,7,5,2,1,8,6,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[7,8,1,5,2,6,3,4]=>[2,1,8,4,7,3,6,5]=>[3,2,7,5,1,8,6,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,8,2,5,1,6,3,4]=>[2,1,7,4,8,3,6,5]=>[3,2,7,5,1,8,4,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,8,2,5,1,7,3,4]=>[3,1,7,4,8,2,6,5]=>[3,7,2,5,1,8,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,8,2,6,1,7,3,4]=>[4,1,7,3,8,2,6,5]=>[3,7,5,2,1,8,4,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[4,8,2,6,1,7,3,5]=>[5,1,7,3,8,2,6,4]=>[3,7,5,1,2,8,4,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[1,7,3,6,2,8,4,5]=>[8,2,6,3,7,1,5,4]=>[7,3,5,1,8,4,6,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,7,3,6,1,8,4,5]=>[7,2,6,3,8,1,5,4]=>[7,3,5,1,8,4,2,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,4,5,6,7,8,9,3]=>[9,8,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,1,3,2]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[1,3,4,5,6,7,8,9,2]=>[9,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[1,2,3,4,5,6,9,8,7]=>[9,8,7,6,5,4,1,2,3]=>[8,9,1,7,6,5,4,3,2]=>[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]
[1,4,3,5,6,7,8,9,2]=>[9,6,7,5,4,3,2,1,8]=>[9,8,7,6,5,3,4,1,2]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[3,2,4,5,6,7,8,9,1]=>[7,8,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,2,3,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[1,3,4,5,6,7,8,9,10,2]=>[10,8,7,6,5,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[6,7,4,8,3,5,1,2]=>[3,2,5,1,6,4,8,7]=>[5,3,2,7,4,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[6,7,4,5,2,8,1,3]=>[3,2,5,4,7,1,8,6]=>[7,3,2,5,4,1,6,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[5,7,4,6,2,3,1,8]=>[4,2,5,3,7,6,8,1]=>[1,3,5,2,4,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,7,4,6,3,8,1,2]=>[4,2,5,3,6,1,8,7]=>[7,3,5,2,4,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,8,3,6,1,2]=>[4,2,5,1,6,3,8,7]=>[5,3,7,2,4,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[6,8,4,5,3,7,1,2]=>[3,1,5,4,6,2,8,7]=>[3,7,2,5,4,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,8,4,6,3,7,1,2]=>[4,1,5,3,6,2,8,7]=>[3,7,5,2,4,6,1,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[5,6,4,8,3,7,1,2]=>[4,3,5,1,6,2,8,7]=>[5,7,3,2,4,6,1,8]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[5,6,3,7,2,4,1,8]=>[4,3,6,2,7,5,8,1]=>[1,5,3,2,7,4,6,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,3,7,2,8,1,4]=>[4,3,6,2,7,1,8,5]=>[7,5,3,2,1,4,6,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[5,6,3,8,2,7,1,4]=>[4,3,6,1,7,2,8,5]=>[5,7,3,2,1,4,6,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[5,6,4,8,2,7,1,3]=>[4,3,5,1,7,2,8,6]=>[5,7,3,2,4,1,6,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,8,4,6,2,7,1,3]=>[4,1,5,3,7,2,8,6]=>[3,7,5,2,4,1,6,8]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[6,8,4,5,2,7,1,3]=>[3,1,5,4,7,2,8,6]=>[3,7,2,5,4,1,6,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[7,8,4,5,2,6,1,3]=>[2,1,5,4,7,3,8,6]=>[3,2,7,5,4,1,6,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[6,8,4,5,2,3,1,7]=>[3,1,5,4,7,6,8,2]=>[3,1,2,5,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[5,8,4,6,2,3,1,7]=>[4,1,5,3,7,6,8,2]=>[3,1,5,2,4,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,4,8,2,3,1,7]=>[4,3,5,1,7,6,8,2]=>[5,1,3,2,4,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,6,3,8,2,4,1,7]=>[4,3,6,1,7,5,8,2]=>[5,1,3,2,7,4,6,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,3,4,2,8,1,7]=>[4,3,6,5,7,1,8,2]=>[7,1,3,2,5,4,6,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,3,5,2,7,1,8]=>[5,3,6,4,7,2,8,1]=>[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,3,5,2,8,1,7]=>[5,3,6,4,7,1,8,2]=>[7,1,3,5,2,4,6,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,6,3,8,2,5,1,7]=>[5,3,6,1,7,4,8,2]=>[5,1,3,7,2,4,6,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,8,3,6,2,5,1,7]=>[5,1,6,3,7,4,8,2]=>[3,1,5,7,2,4,6,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,8,3,6,2,4,1,7]=>[4,1,6,3,7,5,8,2]=>[3,1,5,2,7,4,6,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,3,5,2,4,1,7]=>[3,1,6,4,7,5,8,2]=>[3,1,2,5,7,4,6,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,3,5,2,4,1,6]=>[2,1,6,4,7,5,8,3]=>[3,2,1,5,7,4,6,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[7,8,3,5,2,6,1,4]=>[2,1,6,4,7,3,8,5]=>[3,2,7,5,1,4,6,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[5,8,3,6,2,7,1,4]=>[4,1,6,3,7,2,8,5]=>[3,7,5,2,1,4,6,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[4,8,3,6,2,7,1,5]=>[5,1,6,3,7,2,8,4]=>[3,7,5,1,2,4,6,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[4,6,3,8,2,7,1,5]=>[5,3,6,1,7,2,8,4]=>[5,7,3,1,2,4,6,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,6,3,7,2,8,1,5]=>[5,3,6,2,7,1,8,4]=>[7,5,3,1,2,4,6,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,7,3,6,2,5,1,8]=>[5,2,6,3,7,4,8,1]=>[1,3,5,7,2,4,6,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,7,3,6,2,8,1,5]=>[5,2,6,3,7,1,8,4]=>[7,3,5,1,2,4,6,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,7,3,8,2,6,1,5]=>[5,2,6,1,7,3,8,4]=>[5,3,7,1,2,4,6,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[5,7,4,8,2,6,1,3]=>[4,2,5,1,7,3,8,6]=>[5,3,7,2,4,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,7,3,6,2,8,1,4]=>[4,2,6,3,7,1,8,5]=>[7,3,5,2,1,4,6,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[5,7,3,6,2,4,1,8]=>[4,2,6,3,7,5,8,1]=>[1,3,5,2,7,4,6,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,7,3,5,2,4,1,8]=>[3,2,6,4,7,5,8,1]=>[1,3,2,5,7,4,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,7,3,5,2,8,1,4]=>[3,2,6,4,7,1,8,5]=>[7,3,2,5,1,4,6,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[6,7,4,8,2,5,1,3]=>[3,2,5,1,7,4,8,6]=>[5,3,2,7,4,1,6,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,7,5,8,2,4,1,3]=>[3,2,4,1,7,5,8,6]=>[5,3,2,4,7,1,6,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,8,5,7,2,3,1,4]=>[3,1,4,2,7,6,8,5]=>[3,5,2,4,1,7,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,7,4,8,2,3,1,5]=>[3,2,5,1,7,6,8,4]=>[5,3,2,1,4,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[6,7,3,8,2,4,1,5]=>[3,2,6,1,7,5,8,4]=>[5,3,2,1,7,4,6,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[6,7,3,4,2,8,1,5]=>[3,2,6,5,7,1,8,4]=>[7,3,2,1,5,4,6,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,7,3,4,2,6,1,8]=>[4,2,6,5,7,3,8,1]=>[1,3,7,2,5,4,6,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,7,3,4,2,8,1,6]=>[4,2,6,5,7,1,8,3]=>[7,3,1,2,5,4,6,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,7,4,8,2,3,1,6]=>[4,2,5,1,7,6,8,3]=>[5,3,1,2,4,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,8,4,7,2,3,1,6]=>[4,1,5,2,7,6,8,3]=>[3,5,1,2,4,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,8,4,7,2,3,1,5]=>[3,1,5,2,7,6,8,4]=>[3,5,2,1,4,7,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[7,8,4,6,2,3,1,5]=>[2,1,5,3,7,6,8,4]=>[3,2,5,1,4,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[7,8,3,6,2,4,1,5]=>[2,1,6,3,7,5,8,4]=>[3,2,5,1,7,4,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,8,3,7,2,4,1,5]=>[3,1,6,2,7,5,8,4]=>[3,5,2,1,7,4,6,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[5,8,3,7,2,4,1,6]=>[4,1,6,2,7,5,8,3]=>[3,5,1,2,7,4,6,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,8,3,7,2,5,1,6]=>[5,1,6,2,7,4,8,3]=>[3,5,1,7,2,4,6,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,8,2,5,1,6]=>[5,2,6,1,7,4,8,3]=>[5,3,1,7,2,4,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,5,2,8,1,6]=>[5,2,6,4,7,1,8,3]=>[7,3,1,5,2,4,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,5,2,6,1,8]=>[5,2,6,4,7,3,8,1]=>[1,3,7,5,2,4,6,8]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,5,3,7,2,6,1,8]=>[5,4,6,2,7,3,8,1]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,5,3,7,2,8,1,6]=>[5,4,6,2,7,1,8,3]=>[7,5,1,3,2,4,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,8,2,7,1,6]=>[5,4,6,1,7,2,8,3]=>[5,7,1,3,2,4,6,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,8,3,5,2,7,1,6]=>[5,1,6,4,7,2,8,3]=>[3,7,1,5,2,4,6,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,8,3,4,2,7,1,6]=>[4,1,6,5,7,2,8,3]=>[3,7,1,2,5,4,6,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,8,3,4,2,7,1,5]=>[3,1,6,5,7,2,8,4]=>[3,7,2,1,5,4,6,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[7,8,3,4,2,6,1,5]=>[2,1,6,5,7,3,8,4]=>[3,2,7,1,5,4,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,8,3,4,2,5,1,7]=>[3,1,6,5,7,4,8,2]=>[3,1,2,7,5,4,6,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,8,3,4,2,6,1,7]=>[4,1,6,5,7,3,8,2]=>[3,1,7,2,5,4,6,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,8,3,5,2,6,1,7]=>[5,1,6,4,7,3,8,2]=>[3,1,7,5,2,4,6,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,3,8,2,6,1,7]=>[5,4,6,1,7,3,8,2]=>[5,1,7,3,2,4,6,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,3,6,2,8,1,7]=>[5,4,6,3,7,1,8,2]=>[7,1,5,3,2,4,6,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[5,6,4,2,3,1,8,7]=>[4,3,5,7,6,8,1,2]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,5,3,1,2,8,7]=>[3,5,4,6,8,7,1,2]=>[8,1,2,4,3,5,7,6]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,6,1,3,2,8,7]=>[4,5,3,8,6,7,1,2]=>[8,1,4,2,3,6,7,5]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[4,6,8,1,7,3,2,5]=>[5,3,1,8,2,6,7,4]=>[4,6,3,1,2,7,8,5]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[4,7,8,1,6,3,5,2]=>[5,2,1,8,3,6,4,7]=>[4,3,6,8,2,7,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[7,4,8,1,6,5,3,2]=>[2,5,1,8,3,4,6,7]=>[4,2,6,7,3,8,1,5]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[8,4,5,3,1,7,6,2]=>[1,5,4,6,8,2,3,7]=>[2,7,8,4,3,5,1,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[5,4,7,1,3,8,2,6]=>[4,5,2,8,6,1,7,3]=>[7,4,1,2,3,6,8,5]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[6,4,8,1,7,5,2,3]=>[3,5,1,8,2,4,7,6]=>[4,6,2,7,3,1,8,5]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[8,4,6,3,7,2,1,5]=>[1,5,3,6,2,7,8,4]=>[2,6,4,1,3,5,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[3,4,5,2,1,6,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[7,8,4,2,6,5,3,1]=>[2,1,5,7,3,4,6,8]=>[3,2,6,7,4,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,8,7,2,6,3,5,1]=>[5,1,2,7,3,6,4,8]=>[3,4,6,8,2,7,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[3,6,4,1,2,7,5,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[4,7,6,2,8,1,3,5]=>[5,2,3,7,1,8,6,4]=>[6,3,4,1,2,8,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[6,7,4,2,8,1,5,3]=>[3,2,5,7,1,8,4,6]=>[6,3,2,8,4,1,5,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[3,6,2,7,4,1,5,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[2,1,8,6,7,5,3,4]=>[7,8,1,3,2,4,6,5]=>[4,6,5,7,1,8,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,3,2,6,7,5,1,4]=>[1,6,7,3,2,4,8,5]=>[2,6,5,7,1,3,4,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[5,8,6,7,3,1,2,4]=>[4,1,3,2,6,8,7,5]=>[3,5,4,2,1,6,8,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[5,2,3,4,7,8,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,4,3,8,1,5,2]=>[2,3,5,6,1,8,4,7]=>[6,2,3,8,4,5,1,7]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[7,3,2,6,8,1,5,4]=>[2,6,7,3,1,8,4,5]=>[6,2,5,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[2,1,7,6,8,3,5,4]=>[7,8,2,3,1,6,4,5]=>[6,4,5,8,1,7,2,3]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,5,6,8,1,4,2,3]=>[2,4,3,1,8,5,7,6]=>[5,2,4,3,7,1,8,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[5,4,2,3,8,1,7,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[8,1,3,7,4,6,5,2]=>[1,8,6,2,5,3,4,7]=>[2,5,7,8,6,4,1,3]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]
[1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[1,7,3,5,6,8,4,2]=>[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]
[6,1,5,4,3,8,7,2]=>[3,8,4,5,6,1,2,7]=>[7,8,2,4,5,6,1,3]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[6,1,8,3,4,5,7,2]=>[3,8,1,6,5,4,2,7]=>[4,8,2,7,6,5,1,3]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[7,1,5,3,4,8,6,2]=>[2,8,4,6,5,1,3,7]=>[7,2,8,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[7,1,4,3,5,6,8,2]=>[2,8,5,6,4,3,1,7]=>[8,2,7,6,4,5,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[8,1,3,4,5,6,7,2]=>[1,8,6,5,4,3,2,7]=>[2,8,7,6,5,4,1,3]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[8,5,2,1,4,3,7,6]=>[1,4,7,8,5,6,2,3]=>[2,8,1,3,6,7,4,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[6,5,2,8,4,1,3,7]=>[3,4,7,1,5,8,6,2]=>[5,1,2,3,6,8,4,7]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[5,6,2,1,4,8,3,7]=>[4,3,7,8,5,1,6,2]=>[7,1,3,2,6,8,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,2,6,3,5,4,7,8]=>[8,7,3,6,4,5,2,1]=>[1,8,4,6,7,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[5,8,1,6,3,2,4,7]=>[4,1,8,3,6,7,5,2]=>[3,1,5,2,8,6,7,4]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[6,3,8,5,2,1,4,7]=>[3,6,1,4,7,8,5,2]=>[4,1,2,5,8,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,6,4,2,1,7,3]=>[1,4,3,5,7,8,2,6]=>[2,8,4,3,5,1,6,7]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[7,2,5,8,3,1,6,4]=>[2,7,4,1,6,8,3,5]=>[5,2,8,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[7,2,1,3,8,6,4,5]=>[2,7,8,6,1,3,5,4]=>[6,2,7,1,8,5,3,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[5,8,2,4,1,3,7,6]=>[4,1,7,5,8,6,2,3]=>[3,8,1,2,5,7,4,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,7,2,6,3,4,1,5]=>[1,2,7,3,6,5,8,4]=>[2,3,5,1,7,6,4,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[4,8,1,6,3,2,7,5]=>[5,1,8,3,6,7,2,4]=>[3,8,5,1,2,6,7,4]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[8,1,6,7,4,3,2,5]=>[1,8,3,2,5,6,7,4]=>[2,5,4,1,6,7,8,3]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[3,5,8,7,2,4,1,6]=>[6,4,1,2,7,5,8,3]=>[4,5,1,3,7,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,1,3,7,8,5,6]=>[5,7,8,6,2,1,4,3]=>[7,6,1,8,2,5,3,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,4,1,3,8,7,5,6]=>[7,5,8,6,1,2,4,3]=>[6,7,1,8,3,5,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,8,1,3,6,4,7,5]=>[7,1,8,6,3,5,2,4]=>[3,8,6,1,7,5,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[6,8,2,3,4,1,5,7]=>[3,1,7,6,5,8,4,2]=>[3,1,2,8,6,5,4,7]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[5,1,8,3,2,4,6,7]=>[4,8,1,6,7,5,3,2]=>[4,1,8,2,7,5,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,9,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,9,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9]=>[4,2,3,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,3,9,2,1]=>[2,3,4,5,6,7,1,8,9]=>[8,2,3,4,5,6,7,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,3,2,9,1]=>[2,3,4,5,6,7,8,1,9]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,10,8,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,8,9,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9]=>[4,3,2,5,6,7,8,9,1]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[9,8,10,7,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9,10]=>[4,2,3,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,10,5,4,3,2,1]=>[2,3,4,5,1,6,7,8,9,10]=>[6,2,3,4,5,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,3,10,2,1]=>[2,3,4,5,6,7,8,1,9,10]=>[9,2,3,4,5,6,7,8,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,6,5,4,3,1,2,9]=>[2,3,4,5,6,7,9,8,1]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[9,8,7,6,5,4,3,2,10,1]=>[2,3,4,5,6,7,8,9,1,10]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[1,4,2,7,8,6,3,5]=>[8,5,7,2,1,3,6,4]=>[6,5,7,1,3,8,4,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[1,6,2,4,8,5,3,7]=>[8,3,7,5,1,4,6,2]=>[6,1,3,7,5,8,4,2]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[1,6,2,4,7,5,3,8]=>[8,3,7,5,2,4,6,1]=>[1,6,3,7,5,8,4,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[1,7,3,8,5,2,4,6]=>[8,2,6,1,4,7,5,3]=>[5,3,1,6,8,4,7,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[1,7,3,2,8,6,4,5]=>[8,2,6,7,1,3,5,4]=>[6,3,7,1,8,4,5,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[4,2,5,7,8,6,1,3]=>[5,7,4,2,1,3,8,6]=>[6,5,7,4,2,1,3,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[7,2,3,1,8,5,6,4]=>[2,7,6,8,1,4,3,5]=>[6,2,8,7,1,4,3,5]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[8,2,5,1,7,3,4,6]=>[1,7,4,8,2,6,5,3]=>[2,6,1,4,8,7,3,5]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[6,2,1,8,3,4,7,5]=>[3,7,8,1,6,5,2,4]=>[5,8,2,1,7,6,3,4]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[6,2,8,3,5,1,7,4]=>[3,7,1,6,4,8,2,5]=>[4,8,2,6,1,5,3,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,2,4,8,5,7,1,3]=>[3,7,5,1,4,2,8,6]=>[5,7,2,6,4,1,3,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[1,3,6,4,8,5,7,2]=>[8,6,3,5,1,4,2,7]=>[6,8,4,7,5,3,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[1,3,6,4,7,5,8,2]=>[8,6,3,5,2,4,1,7]=>[8,6,4,7,5,3,1,2]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[6,2,4,7,5,8,1,3]=>[3,7,5,2,4,1,8,6]=>[7,5,2,6,4,1,3,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,2,1,3,7,8,4,5]=>[3,7,8,6,2,1,5,4]=>[7,6,2,1,8,5,3,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[7,8,2,1,4,3,5,6]=>[2,1,7,8,5,6,4,3]=>[3,2,1,8,6,7,4,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[7,6,4,2,3,1,8,5]=>[2,3,5,7,6,8,1,4]=>[8,2,3,1,4,6,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[5,7,2,3,1,6,8,4]=>[4,2,7,6,8,3,1,5]=>[8,3,7,2,1,5,4,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[7,5,4,2,6,8,1,3]=>[2,4,5,7,3,1,8,6]=>[7,2,6,3,4,1,5,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,7,5,3,4,6,8,2]=>[8,2,4,6,5,3,1,7]=>[8,3,7,4,6,5,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[8,2,5,4,6,7,1,3]=>[1,7,4,5,3,2,8,6]=>[2,7,6,4,5,1,3,8]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[5,2,6,3,1,8,7,4]=>[4,7,3,6,8,1,2,5]=>[7,8,4,2,1,5,3,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[8,2,6,4,3,1,7,5]=>[1,7,3,5,6,8,2,4]=>[2,8,4,1,5,6,3,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[8,2,7,4,1,3,5,6]=>[1,7,2,5,8,6,4,3]=>[2,4,1,8,5,7,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>[4,1,8,7,5,6,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[1,7,4,2,3,5,6,8]=>[8,2,5,7,6,4,3,1]=>[1,3,8,7,4,6,5,2]=>[.,[[.,[[[.,.],.],[[.,.],.]]],.]]
[6,8,4,1,3,2,5,7]=>[3,1,5,8,6,7,4,2]=>[3,1,2,8,4,6,7,5]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[1,8,7,4,3,2,5,6]=>[8,1,2,5,6,7,4,3]=>[3,4,1,8,5,6,7,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[1,6,3,8,2,4,7,5]=>[8,3,6,1,7,5,2,4]=>[5,8,3,1,7,4,6,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[5,3,8,1,2,7,4,6]=>[4,6,1,8,7,2,5,3]=>[4,7,1,2,8,3,6,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,1,8,3,2,6,4,7]=>[4,8,1,6,7,3,5,2]=>[4,1,7,2,8,5,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,7,3,1,2,6,4,8]=>[4,2,6,8,7,3,5,1]=>[1,3,7,2,8,4,6,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[1,7,5,4,2,6,3,8]=>[8,2,4,5,7,3,6,1]=>[1,3,7,4,5,8,6,2]=>[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]
[1,5,8,2,4,6,3,7]=>[8,4,1,7,5,3,6,2]=>[4,1,7,3,6,8,5,2]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[1,5,8,4,2,7,3,6]=>[8,4,1,5,7,2,6,3]=>[4,7,1,3,5,8,6,2]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]
[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[6,8,4,1,3,7,5,2]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[5,3,1,6,7,2,4,8]=>[4,6,8,3,2,7,5,1]=>[1,6,5,2,8,3,7,4]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[5,3,6,1,2,8,4,7]=>[4,6,3,8,7,1,5,2]=>[7,1,4,2,8,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,6,3,2,7,8,4,5]=>[8,3,6,7,2,1,5,4]=>[7,6,3,1,8,4,5,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[1,7,4,5,3,8,6,2]=>[8,2,5,4,6,1,3,7]=>[7,3,8,5,4,6,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[6,3,4,1,2,5,8,7]=>[3,6,5,8,7,4,1,2]=>[8,1,2,7,4,3,6,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[6,3,1,4,2,7,5,8]=>[3,6,8,5,7,2,4,1]=>[1,7,2,8,5,3,6,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>[3,1,8,7,6,4,5,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[8,6,3,2,4,1,7,5]=>[1,3,6,7,5,8,2,4]=>[2,8,3,1,6,4,5,7]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[8,5,3,2,6,7,1,4]=>[1,4,6,7,3,2,8,5]=>[2,7,6,3,1,4,5,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[4,5,2,6,8,1,7,3]=>[5,4,7,3,1,8,2,6]=>[6,8,5,3,2,1,4,7]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[4,2,5,6,7,8,1,3]=>[5,7,4,3,2,1,8,6]=>[7,6,5,4,2,1,3,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[5,2,3,6,7,1,8,4]=>[4,7,6,3,2,8,1,5]=>[8,6,5,2,1,4,3,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[6,2,3,4,1,7,8,5]=>[3,7,6,5,8,2,1,4]=>[8,7,2,1,5,4,3,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[7,2,3,1,4,5,8,6]=>[2,7,6,8,5,4,1,3]=>[8,2,1,7,6,4,3,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[8,6,1,4,3,2,5,7]=>[1,3,8,5,6,7,4,2]=>[2,1,3,8,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[8,3,1,6,5,2,4,7]=>[1,6,8,3,4,7,5,2]=>[2,1,5,6,8,3,7,4]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,7,5,1,8,2,4,6]=>[6,2,4,8,1,7,5,3]=>[6,3,1,4,8,2,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,1,5,2,8,7,3,6]=>[5,8,4,7,1,2,6,3]=>[6,7,1,4,2,8,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,1,2,4,6,5,3,7]=>[1,8,7,5,3,4,6,2]=>[2,1,6,7,5,8,4,3]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[8,2,6,5,1,3,4,7]=>[1,7,3,4,8,6,5,2]=>[2,1,4,5,8,7,3,6]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[8,1,2,6,4,5,3,7]=>[1,8,7,3,5,4,6,2]=>[2,1,5,7,6,8,4,3]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]
[8,1,2,5,6,4,3,7]=>[1,8,7,4,3,5,6,2]=>[2,1,6,5,7,8,4,3]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]
[8,1,2,6,5,4,3,7]=>[1,8,7,3,4,5,6,2]=>[2,1,5,6,7,8,4,3]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]
[1,4,7,6,2,8,3,5]=>[8,5,2,3,7,1,6,4]=>[7,4,5,1,3,8,6,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[5,1,4,7,2,8,3,6]=>[4,8,5,2,7,1,6,3]=>[7,5,1,2,4,8,6,3]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]
[5,7,2,8,1,3,4,6]=>[4,2,7,1,8,6,5,3]=>[5,3,1,2,8,7,4,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[5,2,8,7,1,3,4,6]=>[4,7,1,2,8,6,5,3]=>[4,5,1,2,8,7,3,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[1,4,2,8,6,7,3,5]=>[8,5,7,1,3,2,6,4]=>[5,7,6,1,3,8,4,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[3,1,2,6,4,8,7,5]=>[6,8,7,3,5,1,2,4]=>[7,8,5,1,6,2,4,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,1,2,7,4,6,8,5]=>[6,8,7,2,5,3,1,4]=>[8,5,7,1,6,2,4,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,2,3,6,8,5,7,4]=>[8,7,6,3,1,4,2,5]=>[6,8,5,7,1,4,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,4,2,7,6,8,3,5]=>[8,5,7,2,3,1,6,4]=>[7,5,6,1,3,8,4,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[3,1,2,8,4,6,7,5]=>[6,8,7,1,5,3,2,4]=>[5,8,7,1,6,2,4,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,1,2,7,6,4,8,5]=>[6,8,7,2,3,5,1,4]=>[8,5,6,1,7,2,4,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,3,7,1,8,2,4,6]=>[4,6,2,8,1,7,5,3]=>[6,4,1,2,8,3,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,8,7,2,1,3,5,6]=>[5,1,2,7,8,6,4,3]=>[3,4,1,8,2,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,8,1,3,4,7,6]=>[4,7,1,8,6,5,2,3]=>[4,8,1,2,7,6,3,5]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[1,2,3,7,8,5,6,4]=>[8,7,6,2,1,4,3,5]=>[6,5,8,7,1,4,3,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[1,2,3,7,5,8,6,4]=>[8,7,6,2,4,1,3,5]=>[7,5,8,6,1,4,3,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[1,4,2,7,3,8,6,5]=>[8,5,7,2,6,1,3,4]=>[7,5,8,1,3,6,4,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[3,1,7,2,8,6,4,5]=>[6,8,2,7,1,3,5,4]=>[6,4,7,1,8,2,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,1,7,8,3,4,6,5]=>[7,8,2,1,6,5,3,4]=>[5,4,8,1,7,6,2,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,2,3,8,7,5,6,4]=>[8,7,6,1,2,4,3,5]=>[5,6,8,7,1,4,3,2]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[10,1,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[2,1,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,1,11,10,9,8,7,6,5,4,3]=>[[.,.],[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[4,7,8,5,6,2,1,3]=>[5,2,1,4,3,7,8,6]=>[4,3,6,5,2,1,7,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[5,7,8,4,2,6,1,3]=>[4,2,1,5,7,3,8,6]=>[4,3,7,2,5,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[6,7,8,4,2,5,1,3]=>[3,2,1,5,7,4,8,6]=>[4,3,2,7,5,1,6,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[7,6,3,8,2,1,5,4]=>[2,3,6,1,7,8,4,5]=>[5,2,3,8,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[6,7,8,3,2,1,5,4]=>[3,2,1,6,7,8,4,5]=>[4,3,2,8,1,5,6,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,7,8,3,2,1,6,4]=>[4,2,1,6,7,8,3,5]=>[4,3,8,2,1,5,6,7]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[2,7,8,4,3,5,6,1]=>[7,2,1,5,6,4,3,8]=>[4,3,8,7,5,6,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[3,7,8,4,2,5,1,6]=>[6,2,1,5,7,4,8,3]=>[4,3,1,7,5,2,6,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[4,7,8,3,2,1,5,6]=>[5,2,1,6,7,8,4,3]=>[4,3,1,8,2,5,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,7,8,3,2,1,4,6]=>[4,2,1,6,7,8,5,3]=>[4,3,1,2,8,5,6,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,6,4,8,3,5,7,1]=>[7,3,5,1,6,4,2,8]=>[5,8,3,7,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[2,6,4,7,3,5,8,1]=>[7,3,5,2,6,4,1,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[3,6,4,7,2,5,1,8]=>[6,3,5,2,7,4,8,1]=>[1,5,3,7,4,2,6,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[4,6,3,7,2,1,5,8]=>[5,3,6,2,7,8,4,1]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,6,3,7,2,1,4,8]=>[4,3,6,2,7,8,5,1]=>[1,5,3,2,8,4,6,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,3,2,1,6,5,7]=>[1,5,6,7,8,3,4,2]=>[2,1,7,8,3,4,5,6]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,4,3,2,1,7,5,8]=>[3,5,6,7,8,2,4,1]=>[1,7,2,8,3,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,2,7,1,6,8]=>[5,4,6,7,2,8,3,1]=>[1,6,8,3,2,4,5,7]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,5,4,2,8,6,1,7]=>[6,4,5,7,1,3,8,2]=>[6,1,7,3,4,2,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[6,4,3,2,1,8,5,7]=>[3,5,6,7,8,1,4,2]=>[7,1,2,8,3,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,3,2,1,8,5,6]=>[2,5,6,7,8,1,4,3]=>[7,2,1,8,3,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,4,3,2,1,7,5,6]=>[1,5,6,7,8,2,4,3]=>[2,7,1,8,3,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,4,3,2,1,7,6,5]=>[1,5,6,7,8,2,3,4]=>[2,7,8,1,3,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[7,4,3,2,1,8,6,5]=>[2,5,6,7,8,1,3,4]=>[7,2,8,1,3,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,3,2,1,8,7,5]=>[3,5,6,7,8,1,2,4]=>[7,8,2,1,3,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[7,5,3,2,8,1,6,4]=>[2,4,6,7,1,8,3,5]=>[6,2,8,3,1,4,5,7]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[6,5,4,2,8,7,1,3]=>[3,4,5,7,1,2,8,6]=>[6,7,2,3,4,1,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[4,6,5,8,7,2,1,3]=>[5,3,4,1,2,7,8,6]=>[5,6,3,4,2,1,7,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,6,5,7,8,3,4,1]=>[7,3,4,2,1,6,5,8]=>[6,5,3,4,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[6,5,4,2,7,8,1,3]=>[3,4,5,7,2,1,8,6]=>[7,6,2,3,4,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[8,5,3,2,6,1,7,4]=>[1,4,6,7,3,8,2,5]=>[2,8,6,3,1,4,5,7]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[5,6,3,7,2,1,8,4]=>[4,3,6,2,7,8,1,5]=>[8,5,3,2,1,4,6,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,6,4,7,2,8,1,5]=>[6,3,5,2,7,1,8,4]=>[7,5,3,1,4,2,6,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,6,4,7,3,8,5,1]=>[7,3,5,2,6,1,4,8]=>[7,5,3,8,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[3,5,4,2,7,8,1,6]=>[6,4,5,7,2,1,8,3]=>[7,6,1,3,4,2,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,5,3,2,7,1,8,6]=>[5,4,6,7,2,8,1,3]=>[8,6,1,3,2,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,4,3,2,1,6,7,5]=>[1,5,6,7,8,3,2,4]=>[2,8,7,1,3,4,5,6]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[8,4,3,2,1,5,7,6]=>[1,5,6,7,8,4,2,3]=>[2,8,1,7,3,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[7,4,3,2,1,5,8,6]=>[2,5,6,7,8,4,1,3]=>[8,2,1,7,3,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,4,3,2,1,5,8,7]=>[3,5,6,7,8,4,1,2]=>[8,1,2,7,3,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,2,6,8,1,7]=>[6,4,5,7,3,1,8,2]=>[7,1,6,3,4,2,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[8,1,3,2,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[4,2,7,3,5,1,6,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[5,4,7,6,1,8,2,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[3,5,2,6,8,4,1,7]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[4,2,1,5,7,3,6,8]=>[5,7,8,4,2,6,3,1]=>[1,6,8,5,2,7,3,4]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,5,2,3,7,1,6,8]=>[5,4,7,6,2,8,3,1]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[4,2,5,8,3,1,6,7]=>[5,7,4,1,6,8,3,2]=>[5,1,8,4,2,6,3,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,4,2,8,6,7]=>[6,8,4,5,7,1,3,2]=>[7,1,8,4,5,2,6,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,3,8,5,2,1,6,7]=>[5,6,1,4,7,8,3,2]=>[4,1,8,5,2,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,3,2,7,5,1,6,8]=>[5,6,7,2,4,8,3,1]=>[1,5,8,6,2,3,4,7]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[4,6,3,2,5,1,7,8]=>[5,3,6,7,4,8,2,1]=>[1,8,3,6,2,4,5,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,6,7,1,3,2,5,8]=>[5,3,2,8,6,7,4,1]=>[1,4,3,8,2,6,7,5]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[4,5,1,7,3,2,6,8]=>[5,4,8,2,6,7,3,1]=>[1,5,8,3,2,6,7,4]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[2,5,1,4,3,7,8,6]=>[7,4,8,5,6,2,1,3]=>[8,7,1,3,5,6,2,4]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[5,3,1,4,2,7,6,8]=>[4,6,8,5,7,2,3,1]=>[1,7,8,2,5,3,6,4]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[4,3,1,5,7,2,6,8]=>[5,6,8,4,2,7,3,1]=>[1,6,8,5,2,3,7,4]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[1,8,3,6,2,4,7,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[5,3,6,4,1,2,7,8]=>[4,6,3,5,8,7,2,1]=>[1,8,4,2,5,3,7,6]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[6,2,4,1,3,7,8,5]=>[3,7,5,8,6,2,1,4]=>[8,7,2,1,4,6,3,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[1,6,3,8,2,4,7,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[5,6,2,7,1,3,4,8]=>[4,3,7,2,8,6,5,1]=>[1,5,3,2,8,7,4,6]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,6,7,2,3,1,5,8]=>[5,3,2,7,6,8,4,1]=>[1,4,3,8,2,6,5,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,6,1,4,7,5,8]=>[6,7,3,8,5,2,4,1]=>[1,7,4,8,6,2,3,5]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,6,7,2,4,5,1,8]=>[6,3,2,7,5,4,8,1]=>[1,4,3,7,6,2,5,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[3,7,2,4,8,5,1,6]=>[6,2,7,5,1,4,8,3]=>[6,3,1,7,5,2,4,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,2,1,4,6,3,8,5]=>[2,7,8,5,3,6,1,4]=>[8,2,6,1,5,7,3,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,3,1,4,6,8,2,5]=>[2,6,8,5,3,1,7,4]=>[7,2,6,1,5,3,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,4,2,1,5,3,7,8]=>[3,5,7,8,4,6,2,1]=>[1,8,2,6,3,7,4,5]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[1,8,4,6,2,7,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,1,7,5,3,6,8]=>[5,7,8,2,4,6,3,1]=>[1,5,8,6,2,7,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,4,1,5,6,2,3,8]=>[2,5,8,4,3,7,6,1]=>[1,2,6,5,3,8,7,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[7,3,1,5,2,6,4,8]=>[2,6,8,4,7,3,5,1]=>[1,2,7,5,8,3,6,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,2,1,5,3,6,8,4]=>[2,7,8,4,6,3,1,5]=>[8,2,7,5,1,6,3,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,2,5,1,3,7,8,4]=>[3,7,4,8,6,2,1,5]=>[8,7,2,4,1,6,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[6,4,5,1,7,2,3,8]=>[3,5,4,8,2,7,6,1]=>[1,6,2,4,3,8,7,5]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[1,8,4,2,5,7,3,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[4,6,5,1,7,2,3,8]=>[5,3,4,8,2,7,6,1]=>[1,6,3,4,2,8,7,5]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[6,5,2,1,4,7,8,3]=>[3,4,7,8,5,2,1,6]=>[8,7,2,3,6,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,5,3,1,4,7,2,8]=>[3,4,6,8,5,2,7,1]=>[1,7,2,3,6,4,8,5]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[2,4,1,5,8,3,7,6]=>[7,5,8,4,1,6,2,3]=>[6,8,1,5,3,7,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,4,1,5,3,8,7,6]=>[7,5,8,4,6,1,2,3]=>[7,8,1,5,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,4,5,1,8,2,7,6]=>[6,5,4,8,1,7,2,3]=>[6,8,1,4,3,2,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,8,4,5,3,2,7,6]=>[8,1,5,4,6,7,2,3]=>[3,8,1,5,4,6,7,2]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[3,4,5,8,2,1,7,6]=>[6,5,4,1,7,8,2,3]=>[5,8,1,4,3,2,6,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,4,6,2,1,7,5,8]=>[6,5,3,7,8,2,4,1]=>[1,7,4,8,3,2,5,6]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,5,6,2,7,1,8,4]=>[6,4,3,7,2,8,1,5]=>[8,6,4,3,1,2,5,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,5,6,2,7,8,1,4]=>[6,4,3,7,2,1,8,5]=>[7,6,4,3,1,2,5,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,4,6,8,2,7,1,5]=>[6,5,3,1,7,2,8,4]=>[5,7,4,1,3,2,6,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[1,8,4,6,3,7,5,2]=>[8,1,5,3,6,2,4,7]=>[3,7,5,8,4,6,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[3,4,6,2,8,7,5,1]=>[6,5,3,7,1,2,4,8]=>[6,7,4,8,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[3,5,6,2,7,4,1,8]=>[6,4,3,7,2,5,8,1]=>[1,6,4,3,7,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,5,6,7,2,8,3,1]=>[5,4,3,2,7,1,6,8]=>[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[3,5,6,8,7,2,4,1]=>[6,4,3,1,2,7,5,8]=>[5,6,4,3,8,2,7,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[3,5,6,8,7,2,1,4]=>[6,4,3,1,2,7,8,5]=>[5,6,4,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[4,5,6,7,2,1,8,3]=>[5,4,3,2,7,8,1,6]=>[8,5,4,3,2,1,6,7]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[3,4,6,1,8,7,2,5]=>[6,5,3,8,1,2,7,4]=>[6,7,4,1,3,2,8,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,4,1,6,8,7,3,5]=>[7,5,8,3,1,2,6,4]=>[6,7,5,1,3,8,2,4]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,3,1,8,6,7,4,5]=>[7,6,8,1,3,2,5,4]=>[5,7,6,1,8,3,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,5,6,1,7,4,2,8]=>[6,4,3,8,2,5,7,1]=>[1,6,4,3,7,2,8,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[3,5,6,1,7,4,8,2]=>[6,4,3,8,2,5,1,7]=>[8,6,4,3,7,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[3,4,6,1,8,7,5,2]=>[6,5,3,8,1,2,4,7]=>[6,7,4,8,3,2,1,5]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[3,4,6,8,1,7,5,2]=>[6,5,3,1,8,2,4,7]=>[5,7,4,8,3,2,1,6]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[2,4,8,6,1,7,5,3]=>[7,5,1,3,8,2,4,6]=>[4,7,5,8,3,1,2,6]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,8,5,6,7,2,4,3]=>[8,1,4,3,2,7,5,6]=>[3,6,5,4,8,1,7,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[4,5,6,7,8,1,3,2]=>[5,4,3,2,1,8,6,7]=>[6,5,4,3,2,8,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[4,5,6,7,1,3,8,2]=>[5,4,3,2,8,6,1,7]=>[8,5,4,3,2,7,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[4,5,6,7,1,3,2,8]=>[5,4,3,2,8,6,7,1]=>[1,5,4,3,2,7,8,6]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[4,5,6,7,3,1,8,2]=>[5,4,3,2,6,8,1,7]=>[8,5,4,3,2,6,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[3,5,6,8,7,4,1,2]=>[6,4,3,1,2,5,8,7]=>[5,6,4,3,7,2,1,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[5,8,2,4,3,7,1,6]=>[4,1,7,5,6,2,8,3]=>[3,7,1,2,5,6,4,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,2,5,6,1,8,3,7]=>[5,7,4,3,8,1,6,2]=>[7,1,5,4,2,8,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,2,5,6,1,7,3,8]=>[5,7,4,3,8,2,6,1]=>[1,7,5,4,2,8,3,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,1,5,8,3,2,4,7]=>[3,8,4,1,6,7,5,2]=>[5,1,2,4,8,6,7,3]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[3,8,2,4,7,1,5,6]=>[6,1,7,5,2,8,4,3]=>[3,6,1,8,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[4,3,5,6,7,1,8,2]=>[5,6,4,3,2,8,1,7]=>[8,6,5,4,2,3,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[3,7,1,5,6,8,2,4]=>[6,2,8,4,3,1,7,5]=>[7,3,6,5,1,2,8,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[8,3,2,4,6,1,5,7]=>[1,6,7,5,3,8,4,2]=>[2,1,6,8,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,4,6,1,5,8]=>[2,6,7,5,3,8,4,1]=>[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,2,5,1,7,4,6,8]=>[6,7,4,8,2,5,3,1]=>[1,6,8,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,5,1,8,4,6,7]=>[6,7,4,8,1,5,3,2]=>[6,1,8,4,7,2,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,1,7,8,4,6]=>[6,7,4,8,2,1,5,3]=>[7,6,1,4,8,2,3,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[7,8,3,2,4,6,1,5]=>[2,1,6,7,5,3,8,4]=>[3,2,7,1,6,4,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[6,1,5,7,8,3,2,4]=>[3,8,4,2,1,6,7,5]=>[6,5,2,4,1,7,8,3]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[6,1,5,8,7,3,2,4]=>[3,8,4,1,2,6,7,5]=>[5,6,2,4,1,7,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[3,2,5,1,6,4,7,8]=>[6,7,4,8,3,5,2,1]=>[1,8,6,4,7,2,3,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,2,4,1,8,7,5,6]=>[6,7,5,8,1,2,4,3]=>[6,7,1,8,4,2,3,5]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,2,5,1,6,8,7,4]=>[6,7,4,8,3,1,2,5]=>[7,8,6,4,1,2,3,5]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[3,8,6,5,1,7,4,2]=>[6,1,3,4,8,2,5,7]=>[3,7,4,5,8,2,1,6]=>[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]
[3,7,6,5,1,8,4,2]=>[6,2,3,4,8,1,5,7]=>[7,3,4,5,8,2,1,6]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[6,5,1,7,8,4,2,3]=>[3,4,8,2,1,5,7,6]=>[6,5,2,3,7,1,8,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[3,2,5,1,6,7,8,4]=>[6,7,4,8,3,2,1,5]=>[8,7,6,4,1,2,3,5]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,2,4,1,8,5,6,7]=>[6,7,5,8,1,4,3,2]=>[6,1,8,7,4,2,3,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,1,7,5,6,8]=>[6,7,5,8,2,4,3,1]=>[1,6,8,7,4,2,3,5]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>[6,8,1,7,4,2,3,5]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>[6,8,1,4,7,2,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,1,6,7,4,8]=>[6,7,4,8,3,2,5,1]=>[1,7,6,4,8,2,3,5]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[6,5,1,7,4,2,3,8]=>[3,4,8,2,5,7,6,1]=>[1,5,2,3,6,8,7,4]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[6,5,1,8,4,2,3,7]=>[3,4,8,1,5,7,6,2]=>[5,1,2,3,6,8,7,4]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]
[8,4,2,3,7,5,1,6]=>[1,5,7,6,2,4,8,3]=>[2,6,1,7,3,5,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[6,8,4,1,2,7,3,5]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[6,8,4,2,1,7,3,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[8,4,6,1,7,3,5,2]=>[1,5,3,8,2,6,4,7]=>[2,6,4,8,3,7,1,5]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[5,2,6,1,8,4,7,3]=>[4,7,3,8,1,5,2,6]=>[6,8,4,2,7,1,3,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[7,4,2,3,8,5,1,6]=>[2,5,7,6,1,4,8,3]=>[6,2,1,7,3,5,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,5,1,6,4,2,3,7]=>[1,4,8,3,5,7,6,2]=>[2,1,5,3,6,8,7,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]
[7,5,1,6,4,2,3,8]=>[2,4,8,3,5,7,6,1]=>[1,2,5,3,6,8,7,4]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[3,2,5,1,7,6,4,8]=>[6,7,4,8,2,3,5,1]=>[1,6,7,4,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,2,5,1,8,6,4,7]=>[6,7,4,8,1,3,5,2]=>[6,1,7,4,8,2,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,6,1,8,5,7,3]=>[5,7,3,8,1,4,2,6]=>[6,8,4,7,2,1,3,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[8,5,1,6,7,4,2,3]=>[1,4,8,3,2,5,7,6]=>[2,6,5,3,7,1,8,4]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[3,2,4,1,8,6,5,7]=>[6,7,5,8,1,3,4,2]=>[6,1,7,8,4,2,3,5]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,4,1,5,8,6,7]=>[6,7,5,8,4,1,3,2]=>[7,1,8,6,4,2,3,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[3,2,5,1,7,8,6,4]=>[6,7,4,8,2,1,3,5]=>[7,6,8,4,1,2,3,5]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[7,8,5,1,6,4,2,3]=>[2,1,4,8,3,5,7,6]=>[3,2,6,4,7,1,8,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,7,5,1,8,6,4,2]=>[6,2,4,8,1,3,5,7]=>[6,3,7,4,8,2,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[3,2,5,1,8,7,6,4]=>[6,7,4,8,1,2,3,5]=>[6,7,8,4,1,2,3,5]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[6,5,7,3,1,8,4,2]=>[3,4,2,6,8,1,5,7]=>[7,4,2,3,8,5,1,6]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[4,6,3,7,1,8,5,2]=>[5,3,6,2,8,1,4,7]=>[7,5,3,8,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[4,6,3,7,5,1,8,2]=>[5,3,6,2,4,8,1,7]=>[8,5,3,6,2,4,1,7]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[4,2,6,1,7,5,3,8]=>[5,7,3,8,2,4,6,1]=>[1,6,4,7,2,8,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[2,5,7,4,1,6,3,8]=>[7,4,2,5,8,3,6,1]=>[1,4,7,3,5,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[2,5,7,4,1,6,8,3]=>[7,4,2,5,8,3,1,6]=>[8,4,7,3,5,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,4,7,3,6,1,8,2]=>[4,5,2,6,3,8,1,7]=>[8,4,6,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,8,3,1,6,2]=>[4,5,2,1,6,8,3,7]=>[5,4,8,2,3,6,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[4,3,7,5,1,8,6,2]=>[5,6,2,4,8,1,3,7]=>[7,4,8,5,2,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[6,4,3,8,5,1,7,2]=>[3,5,6,1,4,8,2,7]=>[5,8,2,6,3,4,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,8,4,3,6,1,7,2]=>[4,1,5,6,3,8,2,7]=>[3,8,6,2,4,5,1,7]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[5,4,8,3,6,1,7,2]=>[4,5,1,6,3,8,2,7]=>[4,8,6,2,3,5,1,7]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[5,4,3,6,7,1,8,2]=>[4,5,6,3,2,8,1,7]=>[8,6,5,2,3,4,1,7]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[2,5,4,6,1,7,3,8]=>[7,4,5,3,8,2,6,1]=>[1,7,5,3,4,8,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[3,2,5,8,1,6,7,4]=>[6,7,4,1,8,3,2,5]=>[5,8,7,4,1,2,3,6]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[2,5,4,6,8,1,7,3]=>[7,4,5,3,1,8,2,6]=>[6,8,5,3,4,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[4,8,7,2,5,1,3,6]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[4,6,2,1,8,5,7,3]=>[5,3,7,8,1,4,2,6]=>[6,8,3,7,2,1,4,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,4,1,7,5,8,6,3]=>[7,5,8,2,4,1,3,6]=>[7,5,8,6,3,1,2,4]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[2,4,1,7,5,3,8,6]=>[7,5,8,2,4,6,1,3]=>[8,5,1,6,3,7,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[6,1,3,7,4,8,2,5]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,8,2,1,6,3,7]=>[4,5,1,7,8,3,6,2]=>[4,1,7,2,3,8,5,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,8,4,1,6,3,7]=>[7,4,1,5,8,3,6,2]=>[4,1,7,3,5,8,2,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,5,6,1,8,4,7]=>[6,7,4,3,8,1,5,2]=>[7,1,5,4,8,2,3,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[4,8,3,2,6,1,5,7]=>[5,1,6,7,3,8,4,2]=>[3,1,6,8,2,4,5,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,2,8,1,6,4,7]=>[6,4,7,1,8,3,5,2]=>[5,1,7,3,8,2,4,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,1,6,8,5,4,7]=>[6,7,8,3,1,4,5,2]=>[6,1,5,7,8,2,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,2,7,1,5,4,8,6]=>[6,7,2,8,4,5,1,3]=>[8,4,1,6,7,2,3,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[3,2,7,1,5,8,6,4]=>[6,7,2,8,4,1,3,5]=>[7,4,8,6,1,2,3,5]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[3,8,2,5,1,6,7,4]=>[6,1,7,4,8,3,2,5]=>[3,8,7,5,1,2,4,6]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[4,8,3,2,6,7,1,5]=>[5,1,6,7,3,2,8,4]=>[3,7,6,1,2,4,5,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[4,3,8,2,6,7,1,5]=>[5,6,1,7,3,2,8,4]=>[4,7,6,1,2,3,5,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[4,3,2,6,7,8,1,5]=>[5,6,7,3,2,1,8,4]=>[7,6,5,1,2,3,4,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,3,2,6,7,1,5,8]=>[5,6,7,3,2,8,4,1]=>[1,6,5,8,2,3,4,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,7,2,6,8,1,5]=>[5,6,2,7,3,1,8,4]=>[7,4,6,1,2,3,5,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,7,8,2,6,1,5]=>[5,6,2,1,7,3,8,4]=>[5,4,7,1,2,3,6,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,5,7,4,8,1,6,3]=>[7,4,2,5,1,8,3,6]=>[6,4,8,3,5,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[3,2,5,7,8,1,6,4]=>[6,7,4,2,1,8,3,5]=>[6,5,8,4,1,2,3,7]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,2,5,7,1,6,8,4]=>[6,7,4,2,8,3,1,5]=>[8,5,7,4,1,2,3,6]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]