Identifier
-
Mp00061:
Permutations
—to increasing tree⟶
Binary trees
St000203: Binary trees ⟶ ℤ
Values
=>
Cc0010;cc-rep
[1]=>[.,.]=>1
[1,2]=>[.,[.,.]]=>2
[2,1]=>[[.,.],.]=>2
[1,2,3]=>[.,[.,[.,.]]]=>3
[1,3,2]=>[.,[[.,.],.]]=>2
[2,1,3]=>[[.,.],[.,.]]=>3
[2,3,1]=>[[.,[.,.]],.]=>2
[3,1,2]=>[[.,.],[.,.]]=>3
[3,2,1]=>[[[.,.],.],.]=>3
[1,2,3,4]=>[.,[.,[.,[.,.]]]]=>4
[1,2,4,3]=>[.,[.,[[.,.],.]]]=>3
[1,3,2,4]=>[.,[[.,.],[.,.]]]=>3
[1,3,4,2]=>[.,[[.,[.,.]],.]]=>2
[1,4,2,3]=>[.,[[.,.],[.,.]]]=>3
[1,4,3,2]=>[.,[[[.,.],.],.]]=>2
[2,1,3,4]=>[[.,.],[.,[.,.]]]=>4
[2,1,4,3]=>[[.,.],[[.,.],.]]=>3
[2,3,1,4]=>[[.,[.,.]],[.,.]]=>3
[2,3,4,1]=>[[.,[.,[.,.]]],.]=>2
[2,4,1,3]=>[[.,[.,.]],[.,.]]=>3
[2,4,3,1]=>[[.,[[.,.],.]],.]=>2
[3,1,2,4]=>[[.,.],[.,[.,.]]]=>4
[3,1,4,2]=>[[.,.],[[.,.],.]]=>3
[3,2,1,4]=>[[[.,.],.],[.,.]]=>4
[3,2,4,1]=>[[[.,.],[.,.]],.]=>3
[3,4,1,2]=>[[.,[.,.]],[.,.]]=>3
[3,4,2,1]=>[[[.,[.,.]],.],.]=>3
[4,1,2,3]=>[[.,.],[.,[.,.]]]=>4
[4,1,3,2]=>[[.,.],[[.,.],.]]=>3
[4,2,1,3]=>[[[.,.],.],[.,.]]=>4
[4,2,3,1]=>[[[.,.],[.,.]],.]=>3
[4,3,1,2]=>[[[.,.],.],[.,.]]=>4
[4,3,2,1]=>[[[[.,.],.],.],.]=>4
[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>5
[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>4
[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>4
[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]=>3
[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]=>4
[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>3
[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>4
[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>3
[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]=>3
[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]=>2
[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]=>3
[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]=>2
[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]=>4
[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]=>3
[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>3
[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]=>2
[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>3
[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]=>2
[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]=>4
[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]=>3
[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]=>3
[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>2
[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]=>3
[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>2
[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]=>5
[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]=>4
[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]=>4
[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]=>3
[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]=>4
[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>3
[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]=>4
[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]=>3
[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]=>3
[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]=>2
[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]=>3
[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]=>2
[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]=>4
[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]=>3
[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]=>3
[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]=>2
[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]=>3
[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]=>2
[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]=>4
[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]=>3
[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]=>3
[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]=>2
[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]=>3
[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]=>2
[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]=>5
[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]=>4
[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]=>4
[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]=>3
[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]=>4
[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]=>3
[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>5
[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>4
[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]=>4
[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]=>3
[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]=>4
[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]=>3
[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>4
[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]=>3
[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]=>4
[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]=>3
[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]=>3
[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]=>3
[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]=>4
[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>3
[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]=>4
[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]=>3
[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]=>3
[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]=>3
[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]=>5
[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]=>4
[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]=>4
[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]=>3
[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]=>4
[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]=>3
[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]=>5
[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]=>4
[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>4
[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]=>3
[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>4
[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]=>3
[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]=>5
[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]=>4
[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>5
[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]=>4
[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]=>4
[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]=>4
[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]=>4
[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]=>3
[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]=>4
[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]=>3
[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>4
[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]=>4
[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]=>5
[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]=>4
[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]=>4
[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]=>3
[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]=>4
[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]=>3
[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]=>5
[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]=>4
[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]=>4
[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]=>3
[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]=>4
[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]=>3
[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]=>5
[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]=>4
[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]=>5
[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]=>4
[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]=>4
[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]=>4
[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]=>5
[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]=>4
[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]=>5
[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]=>4
[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]=>5
[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]=>5
[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>6
[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>5
[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>5
[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]=>4
[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]=>5
[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]=>4
[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>5
[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>4
[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]=>4
[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]=>3
[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]=>4
[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]=>3
[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>5
[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]=>4
[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]=>4
[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]=>3
[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>4
[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]=>3
[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]=>5
[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]=>4
[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]=>4
[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]=>3
[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]=>4
[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]=>3
[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>5
[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>4
[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]=>3
[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>3
[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>4
[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]=>3
[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]=>3
[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]=>2
[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]=>3
[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]=>2
[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>4
[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]=>3
[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]=>3
[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]=>2
[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]=>3
[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]=>2
[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]=>4
[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]=>3
[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]=>3
[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]=>2
[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]=>3
[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]=>2
[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>5
[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>4
[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]=>3
[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]=>3
[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>4
[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]=>3
[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>2
[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]=>2
[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]=>4
[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>3
[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]=>3
[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]=>2
[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]=>3
[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]=>2
[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]=>4
[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>3
[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]=>3
[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]=>2
[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]=>3
[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]=>2
[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>5
[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]=>4
[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]=>3
[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]=>3
[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>4
[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]=>3
[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>2
[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]=>2
[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]=>4
[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]=>3
[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]=>3
[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]=>2
[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]=>2
[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]=>4
[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]=>3
[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]=>3
[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]=>2
[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]=>3
[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]=>2
[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]=>5
[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]=>4
[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]=>3
[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>4
[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]=>3
[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]=>4
[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]=>3
[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]=>2
[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]=>2
[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]=>4
[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]=>3
[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]=>3
[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]=>2
[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]=>3
[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]=>2
[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]=>4
[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]=>3
[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]=>3
[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]=>2
[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]=>3
[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]=>2
[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>6
[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>5
[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]=>4
[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>4
[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]=>3
[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]=>3
[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]=>3
[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]=>3
[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]=>3
[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]=>2
[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]=>3
[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]=>2
[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]=>3
[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]=>2
[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]=>3
[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]=>2
[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]=>3
[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]=>2
[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]=>3
[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]=>2
[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]=>2
[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]=>2
[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]=>3
[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]=>2
[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]=>3
[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]=>2
[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]=>3
[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]=>2
[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]=>3
[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]=>2
[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]=>2
[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]=>2
[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]=>3
[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]=>2
[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]=>2
[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]=>3
[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]=>2
[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]=>3
[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]=>2
[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]=>2
[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]=>2
[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]=>3
[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]=>2
[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]=>2
[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]=>3
[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]=>2
[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]=>3
[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]=>2
[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>6
[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>5
[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]=>4
[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]=>4
[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>3
[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]=>3
[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]=>3
[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]=>3
[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]=>4
[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>3
[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>3
[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]=>3
[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]=>3
[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>3
[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]=>3
[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]=>4
[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>3
[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]=>3
[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]=>3
[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]=>4
[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>3
[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]=>3
[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]=>3
[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>3
[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]=>3
[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]=>4
[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]=>3
[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]=>3
[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]=>4
[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>3
[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]=>3
[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]=>3
[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>3
[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]=>3
[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]=>4
[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]=>3
[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]=>3
[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]=>3
[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]=>4
[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]=>3
[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]=>3
[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]=>3
[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>6
[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]=>5
[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>4
[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]=>4
[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>3
[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]=>3
[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>3
[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>3
[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]=>4
[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>3
[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]=>3
[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>3
[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>3
[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]=>4
[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]=>5
[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>4
[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]=>4
[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>4
[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>4
[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>3
[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>3
[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]=>5
[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]=>4
[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>4
[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]=>4
[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]=>3
[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]=>4
[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]=>3
[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]=>4
[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]=>4
[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>3
[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>3
[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]=>5
[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]=>4
[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>4
[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]=>4
[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]=>3
[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]=>4
[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]=>3
[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]=>4
[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]=>4
[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]=>6
[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>5
[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>4
[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]=>4
[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>3
[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>3
[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>3
[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>3
[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>4
[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>3
[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>3
[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>3
[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>3
[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>4
[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]=>5
[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>4
[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>4
[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>4
[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>4
[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>4
[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]=>5
[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]=>4
[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>4
[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]=>5
[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]=>6
[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]=>5
[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>5
[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>5
[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]=>5
[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]=>4
[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]=>3
[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]=>4
[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]=>3
[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]=>3
[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]=>3
[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]=>5
[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]=>4
[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]=>4
[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]=>4
[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]=>5
[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]=>4
[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]=>5
[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]=>4
[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]=>5
[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]=>5
[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]=>6
[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]=>5
[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]=>4
[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]=>5
[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]=>4
[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]=>3
[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]=>3
[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]=>4
[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]=>3
[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]=>5
[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]=>4
[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]=>3
[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]=>4
[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]=>3
[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]=>4
[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]=>3
[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]=>3
[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]=>3
[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]=>3
[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>3
[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]=>4
[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]=>5
[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>4
[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>4
[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]=>4
[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]=>4
[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]=>4
[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]=>4
[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>4
[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]=>5
[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>4
[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>4
[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]=>5
[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]=>6
[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]=>5
[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>5
[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]=>5
[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]=>4
[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>4
[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]=>5
[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]=>5
[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]=>6
[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]=>5
[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]=>4
[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]=>5
[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]=>4
[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]=>5
[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]=>4
[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]=>4
[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]=>5
[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]=>6
[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]=>5
[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]=>5
[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>5
[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]=>6
[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]=>5
[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]=>6
[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]=>5
[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]=>6
[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>6
[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>7
[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>6
[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>6
[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>5
[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>6
[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>5
[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>6
[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>5
[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>5
[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>4
[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>5
[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]=>4
[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>6
[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>5
[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>5
[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>4
[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>5
[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]=>4
[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>6
[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>5
[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>5
[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>4
[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>5
[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>4
[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>6
[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>5
[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>4
[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>4
[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>5
[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>4
[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>4
[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>3
[1,2,4,5,7,3,6]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>4
[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]=>3
[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>5
[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>4
[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>4
[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>3
[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>4
[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]=>3
[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>5
[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>4
[1,2,4,7,5,3,6]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>4
[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]=>3
[1,2,4,7,6,3,5]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>4
[1,2,4,7,6,5,3]=>[.,[.,[[.,[[[.,.],.],.]],.]]]=>3
[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>6
[1,2,5,3,4,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>5
[1,2,5,3,6,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>4
[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>4
[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>5
[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>4
[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>3
[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>3
[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>5
[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>4
[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>4
[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>3
[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>4
[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]=>3
[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>5
[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>4
[1,2,5,7,4,3,6]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>4
[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>3
[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]=>4
[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]=>3
[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>6
[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>5
[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,6,3,5,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>4
[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>4
[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>5
[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>4
[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>3
[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>3
[1,2,6,5,3,4,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>5
[1,2,6,5,3,7,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>4
[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>4
[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>3
[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>3
[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>5
[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]=>4
[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>4
[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]=>3
[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]=>4
[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]=>3
[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>6
[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>5
[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,7,3,5,6,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>4
[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>5
[1,2,7,3,6,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>4
[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>5
[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>4
[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]=>3
[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]=>3
[1,2,7,5,3,4,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>5
[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>4
[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>4
[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>3
[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]=>4
[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]=>3
[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]=>5
[1,2,7,6,3,5,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]=>4
[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>4
[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]=>3
[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]=>4
[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]=>3
[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>6
[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>5
[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>4
[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>4
[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>3
[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>3
[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>3
[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>3
[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,3,4,2,7,5,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>3
[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>2
[1,3,4,5,7,2,6]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>3
[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]=>2
[1,3,4,6,2,5,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,3,4,6,2,7,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>3
[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>2
[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>3
[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]=>2
[1,3,4,7,2,5,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,3,4,7,2,6,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,3,4,7,5,2,6]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>3
[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]=>2
[1,3,4,7,6,2,5]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>3
[1,3,4,7,6,5,2]=>[.,[[.,[.,[[[.,.],.],.]]],.]]=>2
[1,3,5,2,4,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,3,5,2,4,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,5,2,6,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,3,5,2,7,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,5,2,7,6,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>2
[1,3,5,4,7,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>2
[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>3
[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>2
[1,3,5,6,7,2,4]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>3
[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]=>2
[1,3,5,7,2,4,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,3,5,7,4,2,6]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>3
[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>2
[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>3
[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]=>2
[1,3,6,2,4,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,3,6,2,4,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,3,6,2,5,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,6,2,5,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,3,6,2,7,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,6,2,7,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,3,6,4,2,5,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,3,6,4,2,7,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>2
[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>2
[1,3,6,5,2,4,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,3,6,5,2,7,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,3,6,5,4,2,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>3
[1,3,6,5,4,7,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>2
[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>2
[1,3,6,7,2,4,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,3,6,7,2,5,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,3,6,7,4,2,5]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>3
[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]=>2
[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>3
[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]=>2
[1,3,7,2,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,3,7,2,4,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,3,7,2,5,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,7,2,5,6,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,3,7,2,6,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,3,7,2,6,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,3,7,4,2,5,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,3,7,4,2,6,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,3,7,4,5,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]=>2
[1,3,7,4,6,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,7,4,6,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]=>2
[1,3,7,5,2,4,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,3,7,5,2,6,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,3,7,5,4,2,6]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>3
[1,3,7,5,4,6,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>2
[1,3,7,5,6,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,3,7,5,6,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]=>2
[1,3,7,6,2,4,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,3,7,6,2,5,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,3,7,6,4,2,5]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>3
[1,3,7,6,4,5,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]=>2
[1,3,7,6,5,2,4]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>3
[1,3,7,6,5,4,2]=>[.,[[.,[[[[.,.],.],.],.]],.]]=>2
[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>6
[1,4,2,3,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>5
[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,4,2,3,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>4
[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>4
[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,4,2,5,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,4,2,5,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>3
[1,4,2,5,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,4,2,5,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>3
[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,4,2,6,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,4,2,6,5,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,4,2,6,5,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,4,2,6,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,4,2,6,7,5,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>3
[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,4,2,7,5,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,4,2,7,6,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,4,2,7,6,5,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>3
[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>2
[1,4,3,5,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>2
[1,4,3,6,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,4,3,6,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>2
[1,4,3,7,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,4,3,7,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,4,3,7,5,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,4,3,7,6,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,4,3,7,6,5,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>2
[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>2
[1,4,5,3,7,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>2
[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>3
[1,4,5,6,3,7,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>2
[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>3
[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]=>2
[1,4,5,7,2,3,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,4,5,7,3,2,6]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>3
[1,4,5,7,3,6,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>2
[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]=>3
[1,4,5,7,6,3,2]=>[.,[[[.,[.,[[.,.],.]]],.],.]]=>2
[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,4,6,3,2,5,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,4,6,3,2,7,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>2
[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>2
[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>3
[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>2
[1,4,6,5,7,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,4,6,5,7,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>2
[1,4,6,7,2,3,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,4,6,7,2,5,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,4,6,7,3,2,5]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>3
[1,4,6,7,3,5,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>2
[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]=>3
[1,4,6,7,5,3,2]=>[.,[[[.,[[.,[.,.]],.]],.],.]]=>2
[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,4,7,3,2,5,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,4,7,3,2,6,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,4,7,3,5,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>2
[1,4,7,3,6,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,4,7,3,6,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>2
[1,4,7,5,2,3,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,4,7,5,3,2,6]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>3
[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>2
[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]=>3
[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]=>2
[1,4,7,6,2,3,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,4,7,6,2,5,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,4,7,6,3,2,5]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>3
[1,4,7,6,3,5,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>2
[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]=>3
[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]=>2
[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>6
[1,5,2,3,4,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>5
[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>4
[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>4
[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,5,2,4,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,5,2,4,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,5,2,4,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>3
[1,5,2,4,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,5,2,4,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>3
[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,5,2,6,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,5,2,6,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>3
[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,5,2,7,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,5,2,7,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,5,2,7,6,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>3
[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,5,3,2,4,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,5,3,2,6,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,5,3,2,6,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,5,3,2,7,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,5,3,2,7,6,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>2
[1,5,3,4,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>2
[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,5,3,6,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>2
[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,5,3,7,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>2
[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,5,4,2,3,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,5,4,2,6,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,5,4,2,6,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,5,4,2,7,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,5,4,2,7,6,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>2
[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>2
[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,5,4,6,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,5,4,6,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>2
[1,5,4,7,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,5,4,7,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>2
[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,5,6,2,4,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,5,6,2,4,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,5,6,2,7,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,5,6,3,2,4,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,5,6,3,2,7,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,5,6,3,4,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>2
[1,5,6,3,7,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>2
[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>3
[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>2
[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,5,6,4,7,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>2
[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>4
[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]=>3
[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>3
[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]=>2
[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]=>3
[1,5,6,7,4,3,2]=>[.,[[[[.,[.,[.,.]]],.],.],.]]=>2
[1,5,7,2,3,4,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,5,7,2,4,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,5,7,2,4,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,5,7,2,6,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,5,7,3,2,4,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,5,7,3,2,6,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,5,7,3,4,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,5,7,3,4,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>2
[1,5,7,3,6,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>2
[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,5,7,4,3,2,6]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>3
[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>2
[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>2
[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]=>4
[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]=>3
[1,5,7,6,3,2,4]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>3
[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]=>2
[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]=>3
[1,5,7,6,4,3,2]=>[.,[[[[.,[[.,.],.]],.],.],.]]=>2
[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>6
[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>5
[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,6,2,3,5,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>4
[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>4
[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,6,2,4,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,6,2,4,5,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,6,2,4,5,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>3
[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>3
[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,6,2,5,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,6,2,5,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,6,2,5,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,6,2,5,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,6,2,5,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>3
[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,6,2,7,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>3
[1,6,3,2,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,6,3,2,4,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,6,3,2,5,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,6,3,2,7,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,6,3,2,7,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>2
[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>2
[1,6,3,5,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,6,3,5,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>2
[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,6,3,7,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,6,3,7,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>2
[1,6,4,2,3,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,6,4,2,3,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,6,4,2,5,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,6,4,2,5,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,6,4,2,7,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>2
[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>2
[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,6,4,5,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,6,4,5,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>2
[1,6,4,7,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,6,4,7,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,6,4,7,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>2
[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,6,5,2,3,7,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,6,5,2,4,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,6,5,2,4,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,6,5,2,7,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,6,5,2,7,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,6,5,3,2,4,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,6,5,3,2,7,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,6,5,3,4,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>2
[1,6,5,3,7,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,6,5,3,7,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>2
[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,6,5,4,2,7,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>3
[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>2
[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>2
[1,6,5,7,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,6,5,7,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>2
[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>5
[1,6,7,2,3,5,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]=>4
[1,6,7,2,4,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]=>3
[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]=>4
[1,6,7,2,5,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]=>3
[1,6,7,3,2,4,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,6,7,3,2,5,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,6,7,3,4,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]=>2
[1,6,7,3,5,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,6,7,3,5,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]=>2
[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,6,7,4,3,2,5]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>3
[1,6,7,4,3,5,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>2
[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]=>3
[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]=>2
[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]=>4
[1,6,7,5,2,4,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]=>3
[1,6,7,5,3,2,4]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>3
[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]=>2
[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]=>3
[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]=>2
[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>6
[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]=>5
[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]=>4
[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]=>5
[1,7,2,3,6,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]=>4
[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,7,2,4,5,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]=>3
[1,7,2,4,6,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,7,2,4,6,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]=>3
[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,7,2,5,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,7,2,5,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]=>4
[1,7,2,5,6,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]=>3
[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]=>5
[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]=>4
[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,7,2,6,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]=>3
[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]=>4
[1,7,2,6,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]=>3
[1,7,3,2,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,7,3,2,4,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,7,3,2,5,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,3,2,5,6,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,7,3,2,6,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,3,2,6,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]=>2
[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]=>2
[1,7,3,5,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,7,3,5,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,7,3,5,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,7,3,5,6,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]=>2
[1,7,3,6,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,7,3,6,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]=>2
[1,7,3,6,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]=>2
[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,7,4,2,5,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,4,2,6,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,7,4,3,2,6,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>2
[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>2
[1,7,4,5,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,7,4,5,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,7,4,5,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]=>3
[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]=>2
[1,7,4,6,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,7,4,6,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,7,4,6,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,7,4,6,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]=>3
[1,7,4,6,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]=>2
[1,7,5,2,3,4,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,7,5,2,4,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,5,2,4,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,7,5,3,4,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,5,3,4,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>2
[1,7,5,3,6,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>2
[1,7,5,4,2,3,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,7,5,4,2,6,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>3
[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>2
[1,7,5,4,6,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>2
[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]=>4
[1,7,5,6,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]=>3
[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]=>2
[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]=>3
[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]=>2
[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]=>5
[1,7,6,2,3,5,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]=>4
[1,7,6,2,4,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]=>3
[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]=>4
[1,7,6,2,5,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]=>3
[1,7,6,3,2,4,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]=>2
[1,7,6,3,5,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,6,3,5,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]=>2
[1,7,6,4,2,3,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>3
[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>2
[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]=>3
[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]=>2
[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]=>4
[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]=>3
[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>3
[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]=>2
[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]=>3
[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]=>2
[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>7
[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>6
[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>5
[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>5
[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>4
[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>4
[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>4
[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>4
[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[2,1,4,5,3,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[2,1,4,5,6,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[2,1,4,5,6,7,3]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>3
[2,1,4,5,7,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[2,1,4,5,7,6,3]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>3
[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[2,1,4,6,3,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[2,1,4,6,5,3,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[2,1,4,6,5,7,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[2,1,4,6,7,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[2,1,4,6,7,5,3]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>3
[2,1,4,7,3,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[2,1,4,7,3,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[2,1,4,7,5,3,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[2,1,4,7,5,6,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[2,1,4,7,6,3,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[2,1,4,7,6,5,3]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>3
[2,1,5,3,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[2,1,5,3,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[2,1,5,3,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[2,1,5,6,4,3,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[2,1,5,6,4,7,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[2,1,5,6,7,4,3]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>3
[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[2,1,5,7,4,3,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[2,1,5,7,4,6,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[2,1,5,7,6,3,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[2,1,5,7,6,4,3]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>3
[2,1,6,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[2,1,6,3,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,6,3,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,6,3,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[2,1,6,5,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[2,1,6,5,3,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[2,1,6,7,4,3,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[2,1,6,7,5,4,3]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>3
[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,7,3,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[2,1,7,3,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,7,3,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[2,1,7,5,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[2,1,7,5,3,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[2,1,7,6,3,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]=>3
[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[2,3,1,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[2,3,1,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[2,3,1,4,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,3,1,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[2,3,1,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,3,1,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,3,1,5,6,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,3,1,5,6,7,4]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[2,3,1,5,7,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,3,1,5,7,6,4]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[2,3,1,6,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,3,1,6,4,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,3,1,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,3,1,6,5,7,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,3,1,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,3,1,6,7,5,4]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[2,3,1,7,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,3,1,7,4,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,3,1,7,5,4,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,3,1,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,3,1,7,6,4,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,3,1,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,3,4,5,1,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>3
[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>2
[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>3
[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]=>2
[2,3,4,6,1,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,3,4,6,1,7,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>3
[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>2
[2,3,4,6,7,1,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>3
[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]=>2
[2,3,4,7,1,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,3,4,7,1,6,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,3,4,7,5,1,6]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>3
[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]=>2
[2,3,4,7,6,1,5]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>3
[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]=>2
[2,3,5,1,4,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,3,5,1,4,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,3,5,1,6,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,3,5,1,7,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,5,1,7,6,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,3,5,4,1,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,3,5,4,1,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,3,5,4,6,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>2
[2,3,5,4,7,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>2
[2,3,5,6,1,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,3,5,6,1,7,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,3,5,6,4,1,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>3
[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>2
[2,3,5,6,7,1,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>3
[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]=>2
[2,3,5,7,1,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,3,5,7,1,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,3,5,7,4,1,6]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>3
[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>2
[2,3,5,7,6,1,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>3
[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]=>2
[2,3,6,1,4,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,3,6,1,4,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,3,6,1,5,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,6,1,5,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,3,6,1,7,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,6,1,7,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,3,6,4,1,5,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,3,6,4,1,7,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>2
[2,3,6,4,7,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>2
[2,3,6,5,1,4,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,3,6,5,1,7,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,3,6,5,4,1,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>3
[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>2
[2,3,6,5,7,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>2
[2,3,6,7,1,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,3,6,7,1,5,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,3,6,7,4,1,5]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>3
[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]=>2
[2,3,6,7,5,1,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>3
[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]=>2
[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,3,7,1,4,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,3,7,1,5,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,7,1,5,6,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,3,7,1,6,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,3,7,1,6,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,3,7,4,1,5,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,3,7,4,1,6,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,3,7,4,5,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]=>2
[2,3,7,4,6,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]=>2
[2,3,7,5,1,4,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,3,7,5,1,6,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,3,7,5,4,1,6]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>3
[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>2
[2,3,7,5,6,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]=>2
[2,3,7,6,1,4,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,3,7,6,1,5,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,3,7,6,4,1,5]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>3
[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]=>2
[2,3,7,6,5,1,4]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>3
[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]=>2
[2,4,1,3,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[2,4,1,3,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,4,1,3,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[2,4,1,3,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,4,1,3,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[2,4,1,5,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,4,1,5,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[2,4,1,5,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,4,1,5,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,4,1,6,5,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,4,1,6,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,4,1,6,7,5,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[2,4,1,7,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,4,1,7,5,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,4,1,7,5,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,4,1,7,6,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,4,1,7,6,5,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[2,4,3,1,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,4,3,1,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,4,3,1,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,4,3,1,6,7,5]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,4,3,1,7,5,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,4,3,1,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,4,3,5,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,4,3,5,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,4,3,5,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>2
[2,4,3,5,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>2
[2,4,3,6,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,4,3,6,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>2
[2,4,3,7,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,4,3,7,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,4,3,7,5,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,4,3,7,6,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>2
[2,4,5,1,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,4,5,1,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,4,5,1,6,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,4,5,1,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,4,5,1,7,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,4,5,1,7,6,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,4,5,3,1,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,4,5,3,1,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,4,5,3,6,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>2
[2,4,5,3,7,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>2
[2,4,5,6,1,3,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,4,5,6,3,1,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>3
[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>2
[2,4,5,6,7,1,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>3
[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]=>2
[2,4,5,7,1,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,4,5,7,1,6,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,4,5,7,3,1,6]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>3
[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>2
[2,4,5,7,6,1,3]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>3
[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]=>2
[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,4,6,1,3,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,4,6,1,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,4,6,1,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,4,6,3,1,7,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>2
[2,4,6,3,7,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>2
[2,4,6,5,1,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,4,6,5,1,7,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,4,6,5,3,1,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>3
[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>2
[2,4,6,5,7,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>2
[2,4,6,7,1,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,4,6,7,1,5,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,4,6,7,3,1,5]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>3
[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>2
[2,4,6,7,5,1,3]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>3
[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]=>2
[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,4,7,1,3,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,4,7,1,5,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,4,7,1,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,4,7,1,6,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,4,7,1,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,4,7,3,1,5,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,4,7,3,1,6,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,4,7,3,5,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>2
[2,4,7,3,6,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>2
[2,4,7,5,1,3,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,4,7,5,1,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,4,7,5,3,1,6]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>3
[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>2
[2,4,7,5,6,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]=>2
[2,4,7,6,1,3,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,4,7,6,1,5,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,4,7,6,3,1,5]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>3
[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>2
[2,4,7,6,5,1,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>3
[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]=>2
[2,5,1,3,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[2,5,1,3,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[2,5,1,3,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,5,1,3,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[2,5,1,3,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,5,1,3,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[2,5,1,4,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,5,1,4,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,5,1,4,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,5,1,4,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[2,5,1,4,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,5,1,4,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[2,5,1,6,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,5,1,6,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,5,1,6,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,5,1,6,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,5,1,6,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,5,1,6,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[2,5,1,7,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,5,1,7,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,5,1,7,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,5,1,7,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,5,1,7,6,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,5,1,7,6,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[2,5,3,1,4,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,5,3,1,4,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,5,3,1,6,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,5,3,1,6,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,5,3,1,7,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,5,3,1,7,6,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,5,3,4,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,5,3,4,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,5,3,4,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>2
[2,5,3,4,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>2
[2,5,3,6,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,5,3,6,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,5,3,6,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,5,3,6,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>2
[2,5,3,7,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,5,3,7,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,5,3,7,6,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>2
[2,5,4,1,3,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,5,4,1,3,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,5,4,1,6,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,5,4,1,6,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,5,4,1,7,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,5,4,1,7,6,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,5,4,3,1,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,5,4,3,1,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,5,4,3,6,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>2
[2,5,4,3,7,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>2
[2,5,4,6,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,5,4,6,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,5,4,6,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,5,4,6,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>2
[2,5,4,7,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,5,4,7,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,5,4,7,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,5,4,7,6,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>2
[2,5,6,1,3,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,5,6,1,4,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,5,6,1,4,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,5,6,1,7,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,5,6,3,1,4,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,5,6,3,1,7,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,5,6,3,4,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>2
[2,5,6,3,7,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>2
[2,5,6,4,1,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,5,6,4,3,1,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>3
[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>2
[2,5,6,4,7,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>2
[2,5,6,7,1,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[2,5,6,7,1,4,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[2,5,6,7,3,1,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>3
[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]=>2
[2,5,6,7,4,1,3]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>3
[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]=>2
[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,5,7,1,3,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,5,7,1,4,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,5,7,1,4,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,5,7,1,6,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,5,7,1,6,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,5,7,3,1,4,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,5,7,3,1,6,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,5,7,3,4,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>2
[2,5,7,3,6,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>2
[2,5,7,4,1,3,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,5,7,4,3,1,6]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>3
[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>2
[2,5,7,4,6,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>2
[2,5,7,6,1,3,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[2,5,7,6,1,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[2,5,7,6,3,1,4]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>3
[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]=>2
[2,5,7,6,4,1,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>3
[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]=>2
[2,6,1,3,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[2,6,1,3,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,6,1,3,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[2,6,1,3,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,6,1,3,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,6,1,4,5,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,6,1,4,5,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,6,1,4,7,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[2,6,1,5,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,6,1,5,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,6,1,5,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,6,1,5,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,6,1,5,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,6,1,5,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[2,6,1,7,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,6,1,7,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,6,1,7,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,6,1,7,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,6,1,7,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,6,1,7,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[2,6,3,1,4,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,6,3,1,4,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,6,3,1,5,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,6,3,1,7,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,6,3,1,7,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,6,3,4,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,6,3,4,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,6,3,4,5,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>2
[2,6,3,4,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>2
[2,6,3,5,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,6,3,5,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,6,3,5,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,6,3,5,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>2
[2,6,3,7,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,6,3,7,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,6,3,7,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,6,3,7,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>2
[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,6,4,1,3,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,6,4,1,5,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,6,4,1,5,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,6,4,1,7,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,6,4,3,1,5,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,6,4,3,1,7,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,6,4,3,5,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>2
[2,6,4,3,7,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>2
[2,6,4,5,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,6,4,5,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,6,4,5,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>2
[2,6,4,7,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,6,4,7,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,6,4,7,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>2
[2,6,5,1,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,6,5,1,4,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,6,5,1,4,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,6,5,1,7,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,6,5,1,7,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,6,5,3,1,4,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,6,5,3,1,7,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,6,5,3,4,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>2
[2,6,5,3,7,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>2
[2,6,5,4,1,3,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,6,5,4,3,1,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>3
[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>2
[2,6,5,4,7,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>2
[2,6,5,7,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,6,5,7,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,6,5,7,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,6,5,7,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>2
[2,6,7,1,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[2,6,7,1,3,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[2,6,7,1,4,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,6,7,1,4,5,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[2,6,7,1,5,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[2,6,7,1,5,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[2,6,7,3,1,4,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,6,7,3,1,5,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,6,7,3,4,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]=>2
[2,6,7,3,5,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]=>2
[2,6,7,4,1,3,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,6,7,4,1,5,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,6,7,4,3,1,5]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>3
[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>2
[2,6,7,4,5,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]=>2
[2,6,7,5,1,3,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[2,6,7,5,1,4,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[2,6,7,5,3,1,4]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>3
[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]=>2
[2,6,7,5,4,1,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>3
[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]=>2
[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[2,7,1,3,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[2,7,1,3,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,7,1,3,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[2,7,1,3,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[2,7,1,3,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[2,7,1,4,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,7,1,4,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,7,1,4,5,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,7,1,4,5,6,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[2,7,1,4,6,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,7,1,4,6,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[2,7,1,5,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,7,1,5,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,7,1,5,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,7,1,5,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,7,1,5,6,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[2,7,1,5,6,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[2,7,1,6,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[2,7,1,6,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[2,7,1,6,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,7,1,6,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[2,7,1,6,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[2,7,3,1,4,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,7,3,1,4,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,7,3,1,5,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,3,1,5,6,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,7,3,1,6,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,3,1,6,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,7,3,4,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,7,3,4,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,7,3,4,5,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]=>2
[2,7,3,4,6,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]=>2
[2,7,3,5,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,7,3,5,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,7,3,5,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,7,3,5,6,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]=>2
[2,7,3,6,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,7,3,6,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,7,3,6,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]=>2
[2,7,3,6,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]=>2
[2,7,4,1,3,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,7,4,1,3,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,7,4,1,5,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,4,1,5,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,7,4,1,6,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,7,4,3,1,5,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,7,4,3,1,6,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,7,4,3,5,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>2
[2,7,4,3,6,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>2
[2,7,4,5,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,7,4,5,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,7,4,5,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,7,4,5,6,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]=>2
[2,7,4,6,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,7,4,6,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,7,4,6,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,7,4,6,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]=>2
[2,7,5,1,3,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,7,5,1,3,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,7,5,1,4,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,5,1,4,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,7,5,1,6,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,5,1,6,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,7,5,3,1,4,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,7,5,3,1,6,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,7,5,3,4,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>2
[2,7,5,3,6,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>2
[2,7,5,4,1,3,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,7,5,4,1,6,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,7,5,4,3,1,6]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>3
[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>2
[2,7,5,4,6,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>2
[2,7,5,6,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[2,7,5,6,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[2,7,5,6,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]=>2
[2,7,5,6,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]=>2
[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[2,7,6,1,3,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,6,1,4,5,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[2,7,6,1,5,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[2,7,6,3,1,4,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,7,6,3,1,5,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,7,6,3,4,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]=>2
[2,7,6,3,5,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]=>2
[2,7,6,4,1,3,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,7,6,4,1,5,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,7,6,4,3,1,5]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>3
[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>2
[2,7,6,4,5,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]=>2
[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[2,7,6,5,3,1,4]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>3
[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]=>2
[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>3
[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]=>2
[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>7
[3,1,2,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>6
[3,1,2,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[3,1,2,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>5
[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>5
[3,1,2,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[3,1,2,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,2,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>4
[3,1,2,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[3,1,2,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>4
[3,1,2,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[3,1,2,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,2,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[3,1,2,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[3,1,2,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[3,1,2,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>4
[3,1,2,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[3,1,2,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,2,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[3,1,2,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[3,1,2,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[3,1,2,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>4
[3,1,4,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[3,1,4,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[3,1,4,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,4,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[3,1,4,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,4,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[3,1,4,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[3,1,4,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[3,1,4,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>3
[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[3,1,4,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>3
[3,1,4,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[3,1,4,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[3,1,4,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[3,1,4,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[3,1,4,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[3,1,4,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>3
[3,1,4,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[3,1,4,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[3,1,4,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[3,1,4,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[3,1,4,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>3
[3,1,5,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[3,1,5,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[3,1,5,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,5,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,5,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[3,1,5,4,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[3,1,5,4,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[3,1,5,4,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,5,4,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[3,1,5,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[3,1,5,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[3,1,5,6,4,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[3,1,5,6,4,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[3,1,5,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>3
[3,1,5,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[3,1,5,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[3,1,5,7,4,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[3,1,5,7,4,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[3,1,5,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[3,1,5,7,6,4,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>3
[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[3,1,6,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,6,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,6,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[3,1,6,4,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[3,1,6,4,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[3,1,6,4,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,6,4,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[3,1,6,4,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[3,1,6,5,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[3,1,6,5,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[3,1,6,5,4,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[3,1,6,5,4,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[3,1,6,5,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,6,5,7,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[3,1,6,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[3,1,6,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[3,1,6,7,4,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[3,1,6,7,5,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[3,1,6,7,5,4,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>3
[3,1,7,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[3,1,7,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[3,1,7,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,7,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,7,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[3,1,7,4,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[3,1,7,4,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[3,1,7,4,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[3,1,7,4,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,7,4,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[3,1,7,5,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[3,1,7,5,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[3,1,7,5,4,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[3,1,7,5,4,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[3,1,7,5,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[3,1,7,6,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[3,1,7,6,4,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[3,1,7,6,5,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]=>3
[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[3,2,4,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[3,2,4,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[3,2,4,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>3
[3,2,4,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>3
[3,2,4,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[3,2,4,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[3,2,4,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[3,2,4,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>3
[3,2,4,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[3,2,4,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[3,2,4,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[3,2,4,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>3
[3,2,5,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[3,2,5,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[3,2,5,4,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[3,2,5,4,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[3,2,5,4,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[3,2,5,4,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[3,2,5,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[3,2,5,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[3,2,5,6,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[3,2,5,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>3
[3,2,5,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[3,2,5,7,4,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[3,2,5,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>3
[3,2,6,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[3,2,6,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,6,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,6,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[3,2,6,4,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[3,2,6,4,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[3,2,6,4,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[3,2,6,4,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[3,2,6,5,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[3,2,6,5,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[3,2,6,5,4,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[3,2,6,5,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[3,2,6,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[3,2,6,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[3,2,6,7,4,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[3,2,6,7,5,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>3
[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,7,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[3,2,7,4,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[3,2,7,4,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[3,2,7,4,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[3,2,7,4,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[3,2,7,5,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[3,2,7,5,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[3,2,7,5,4,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[3,2,7,5,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[3,2,7,6,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[3,2,7,6,4,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>3
[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[3,4,1,5,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,4,1,5,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,4,1,5,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[3,4,1,5,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[3,4,1,6,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,4,1,6,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,4,1,6,5,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,4,1,6,5,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[3,4,1,7,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,4,1,7,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,4,1,7,5,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,4,1,7,6,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[3,4,2,1,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[3,4,2,1,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[3,4,2,1,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,4,2,1,6,7,5]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[3,4,2,1,7,5,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,4,2,1,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[3,4,2,5,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,4,2,5,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,4,2,5,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[3,4,2,5,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[3,4,2,6,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,4,2,6,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,4,2,6,5,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,4,2,6,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[3,4,2,7,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,4,2,7,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,4,2,7,5,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,4,2,7,6,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[3,4,5,1,2,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[3,4,5,1,2,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[3,4,5,1,6,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[3,4,5,1,7,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[3,4,5,2,1,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[3,4,5,2,1,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[3,4,5,2,6,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[3,4,5,2,7,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[3,4,5,6,1,2,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[3,4,5,6,2,1,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>4
[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>3
[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>3
[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]=>3
[3,4,5,7,1,2,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[3,4,5,7,2,1,6]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>4
[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>3
[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]=>3
[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]=>3
[3,4,6,1,2,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[3,4,6,1,2,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[3,4,6,1,5,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,4,6,1,5,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,4,6,1,7,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[3,4,6,2,1,5,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[3,4,6,2,1,7,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[3,4,6,2,5,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[3,4,6,2,7,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[3,4,6,5,1,2,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[3,4,6,5,1,7,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[3,4,6,5,2,1,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>4
[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>3
[3,4,6,5,7,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>3
[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[3,4,6,7,2,1,5]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>4
[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>3
[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]=>3
[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]=>3
[3,4,7,1,2,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[3,4,7,1,2,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[3,4,7,1,5,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[3,4,7,1,6,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[3,4,7,2,1,5,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[3,4,7,2,1,6,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[3,4,7,2,5,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[3,4,7,5,1,2,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[3,4,7,5,2,1,6]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>4
[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>3
[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]=>3
[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]=>3
[3,4,7,6,1,2,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[3,4,7,6,1,5,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[3,4,7,6,2,1,5]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>4
[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>3
[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]=>3
[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]=>3
[3,5,1,2,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[3,5,1,2,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[3,5,1,2,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,5,1,2,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[3,5,1,2,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,5,1,2,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,5,1,6,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,5,1,6,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,5,1,6,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,5,1,7,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,5,1,7,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,5,1,7,6,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[3,5,2,1,4,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[3,5,2,1,4,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[3,5,2,1,6,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,5,2,1,6,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,5,2,1,7,6,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[3,5,2,4,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,5,2,4,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,5,2,4,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[3,5,2,4,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[3,5,2,6,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,5,2,6,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,5,2,6,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,5,2,6,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[3,5,2,7,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,5,2,7,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,5,2,7,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,5,2,7,6,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[3,5,4,1,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[3,5,4,1,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[3,5,4,1,6,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,5,4,1,6,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[3,5,4,1,7,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,5,4,1,7,6,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[3,5,4,2,1,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[3,5,4,2,1,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[3,5,4,2,6,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[3,5,4,2,7,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[3,5,4,6,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,5,4,6,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,5,4,6,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,5,4,6,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>3
[3,5,4,7,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,5,4,7,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,5,4,7,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,5,4,7,6,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>3
[3,5,6,1,2,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[3,5,6,1,2,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[3,5,6,1,4,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,5,6,1,4,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,5,6,1,7,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[3,5,6,2,1,4,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[3,5,6,2,1,7,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[3,5,6,2,4,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[3,5,6,2,7,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[3,5,6,4,1,2,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[3,5,6,4,1,7,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[3,5,6,4,2,1,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>4
[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>3
[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>3
[3,5,6,7,1,2,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[3,5,6,7,1,4,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[3,5,6,7,2,1,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>4
[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>3
[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]=>3
[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]=>3
[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[3,5,7,1,2,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[3,5,7,1,4,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,5,7,1,4,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[3,5,7,1,6,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,5,7,1,6,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[3,5,7,2,1,4,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[3,5,7,2,1,6,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[3,5,7,2,6,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[3,5,7,4,1,2,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[3,5,7,4,1,6,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[3,5,7,4,2,1,6]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>4
[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>3
[3,5,7,4,6,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>3
[3,5,7,6,1,2,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[3,5,7,6,2,1,4]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>4
[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>3
[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]=>3
[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]=>3
[3,6,1,2,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[3,6,1,2,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[3,6,1,2,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,6,1,2,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,6,1,2,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[3,6,1,5,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,6,1,5,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,6,1,5,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,6,1,7,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[3,6,2,1,4,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[3,6,2,1,4,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[3,6,2,1,5,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,6,2,1,5,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[3,6,2,1,7,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[3,6,2,4,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,6,2,4,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,6,2,4,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[3,6,2,5,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,6,2,5,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,6,2,5,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,6,2,5,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,6,2,7,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,6,2,7,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[3,6,4,1,2,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[3,6,4,1,2,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[3,6,4,1,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,6,4,1,5,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[3,6,4,1,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[3,6,4,2,1,5,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[3,6,4,2,1,7,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[3,6,4,2,5,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[3,6,4,2,7,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[3,6,4,5,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,6,4,5,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,6,4,5,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>3
[3,6,4,7,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,6,4,7,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>3
[3,6,5,1,2,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[3,6,5,1,2,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[3,6,5,1,4,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,6,5,1,4,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,6,5,1,7,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[3,6,5,2,1,4,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[3,6,5,2,1,7,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[3,6,5,2,4,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[3,6,5,2,7,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[3,6,5,4,1,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[3,6,5,4,1,7,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[3,6,5,4,2,1,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>4
[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>3
[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>3
[3,6,5,7,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,6,5,7,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,6,5,7,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,6,5,7,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>3
[3,6,7,1,2,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[3,6,7,1,2,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[3,6,7,1,4,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[3,6,7,1,5,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[3,6,7,1,5,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[3,6,7,2,1,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[3,6,7,2,1,5,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[3,6,7,2,4,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[3,6,7,2,5,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[3,6,7,4,1,2,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[3,6,7,4,2,1,5]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>4
[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>3
[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]=>3
[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]=>3
[3,6,7,5,1,2,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[3,6,7,5,2,1,4]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>4
[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>3
[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]=>3
[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]=>3
[3,7,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[3,7,1,2,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[3,7,1,2,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,7,1,2,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[3,7,1,2,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[3,7,1,2,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,7,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,7,1,5,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[3,7,1,6,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[3,7,2,1,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[3,7,2,1,4,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[3,7,2,1,5,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,7,2,1,5,6,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[3,7,2,1,6,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[3,7,2,4,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,7,2,4,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,7,2,4,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[3,7,2,4,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[3,7,2,5,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,7,2,5,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,7,2,5,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,7,2,5,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[3,7,2,6,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[3,7,2,6,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[3,7,4,1,2,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[3,7,4,1,2,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[3,7,4,1,5,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[3,7,4,1,6,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[3,7,4,2,1,5,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[3,7,4,2,1,6,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[3,7,4,2,5,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[3,7,4,2,6,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[3,7,4,5,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,7,4,5,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]=>3
[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]=>3
[3,7,4,6,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,7,4,6,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]=>3
[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]=>3
[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[3,7,5,1,2,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[3,7,5,1,4,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,7,5,1,4,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[3,7,5,1,6,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[3,7,5,2,1,4,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[3,7,5,2,1,6,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[3,7,5,2,4,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[3,7,5,2,6,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[3,7,5,4,1,2,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[3,7,5,4,1,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[3,7,5,4,2,1,6]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>4
[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>3
[3,7,5,4,6,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>3
[3,7,5,6,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[3,7,5,6,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]=>3
[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]=>3
[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[3,7,6,1,2,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[3,7,6,1,4,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[3,7,6,1,5,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[3,7,6,2,1,4,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[3,7,6,2,4,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[3,7,6,4,1,2,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[3,7,6,4,2,1,5]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>4
[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>3
[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]=>3
[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]=>3
[3,7,6,5,1,2,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>4
[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>3
[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]=>3
[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]=>3
[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>7
[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>6
[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>5
[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>5
[4,1,2,5,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[4,1,2,5,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[4,1,2,5,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>4
[4,1,2,5,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>4
[4,1,2,6,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[4,1,2,6,5,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[4,1,2,6,5,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[4,1,2,6,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>4
[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[4,1,2,7,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[4,1,2,7,5,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[4,1,2,7,6,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>4
[4,1,3,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[4,1,3,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[4,1,3,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,3,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,3,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[4,1,3,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[4,1,3,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[4,1,3,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[4,1,3,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>3
[4,1,3,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[4,1,3,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>3
[4,1,3,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[4,1,3,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[4,1,3,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[4,1,3,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[4,1,3,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[4,1,3,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>3
[4,1,3,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[4,1,3,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[4,1,3,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[4,1,3,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[4,1,3,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>3
[4,1,5,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[4,1,5,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[4,1,5,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[4,1,5,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,5,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[4,1,5,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,5,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[4,1,5,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[4,1,5,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[4,1,5,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[4,1,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>3
[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[4,1,5,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[4,1,5,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>3
[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[4,1,6,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[4,1,6,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,6,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[4,1,6,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[4,1,6,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[4,1,6,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,6,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[4,1,6,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,6,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[4,1,6,5,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[4,1,6,5,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[4,1,6,5,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[4,1,6,5,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[4,1,6,5,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,6,5,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[4,1,6,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[4,1,6,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[4,1,6,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[4,1,6,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[4,1,6,7,5,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>3
[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[4,1,7,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[4,1,7,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[4,1,7,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[4,1,7,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[4,1,7,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,7,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[4,1,7,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,7,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[4,1,7,5,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[4,1,7,5,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,7,5,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[4,1,7,6,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[4,1,7,6,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[4,1,7,6,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[4,1,7,6,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]=>3
[4,2,1,3,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[4,2,1,3,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[4,2,1,3,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[4,2,1,3,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[4,2,1,3,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[4,2,1,5,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[4,2,1,5,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[4,2,1,5,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[4,2,1,5,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[4,2,1,5,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[4,2,1,5,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[4,2,1,6,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[4,2,1,6,5,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[4,2,1,6,5,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[4,2,1,6,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[4,2,1,6,7,5,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[4,2,1,7,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[4,2,1,7,5,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[4,2,1,7,5,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[4,2,1,7,6,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[4,2,3,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,2,3,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,2,3,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>3
[4,2,3,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>3
[4,2,3,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,2,3,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,2,3,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[4,2,3,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>3
[4,2,3,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,2,3,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,2,3,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[4,2,3,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>3
[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,2,5,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,2,5,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[4,2,5,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[4,2,5,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,2,5,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[4,2,5,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>3
[4,2,5,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,2,5,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[4,2,5,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>3
[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[4,2,6,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,2,6,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,2,6,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[4,2,6,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[4,2,6,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[4,2,6,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,2,6,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,2,6,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[4,2,6,7,5,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>3
[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[4,2,7,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,2,7,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,2,7,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[4,2,7,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[4,2,7,5,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,2,7,5,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,2,7,5,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[4,2,7,5,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[4,2,7,6,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,2,7,6,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>3
[4,3,1,2,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[4,3,1,2,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[4,3,1,2,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[4,3,1,2,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[4,3,1,2,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[4,3,1,5,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[4,3,1,5,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[4,3,1,5,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[4,3,1,5,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[4,3,1,5,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[4,3,1,6,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[4,3,1,6,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[4,3,1,6,5,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[4,3,1,6,5,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[4,3,1,6,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[4,3,1,6,7,5,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[4,3,1,7,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[4,3,1,7,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[4,3,1,7,5,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[4,3,1,7,5,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[4,3,2,5,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[4,3,2,5,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[4,3,2,5,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[4,3,2,5,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[4,3,2,6,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[4,3,2,6,5,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[4,3,2,7,5,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[4,3,5,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[4,3,5,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,3,5,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[4,3,5,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,3,5,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[4,3,5,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[4,3,5,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[4,3,5,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[4,3,5,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[4,3,5,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,3,5,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,3,5,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>4
[4,3,5,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,3,5,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,3,5,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>4
[4,3,6,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[4,3,6,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[4,3,6,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,3,6,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,3,6,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[4,3,6,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[4,3,6,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[4,3,6,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[4,3,6,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[4,3,6,5,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,3,6,5,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,3,6,5,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[4,3,6,5,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[4,3,6,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[4,3,6,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[4,3,6,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[4,3,6,7,5,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>4
[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[4,3,7,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[4,3,7,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,3,7,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[4,3,7,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[4,3,7,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[4,3,7,5,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,3,7,5,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,3,7,5,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>4
[4,5,1,2,3,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[4,5,1,2,3,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[4,5,1,2,6,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[4,5,1,3,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,5,1,3,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,5,1,3,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,5,1,3,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[4,5,1,3,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,5,1,3,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[4,5,1,6,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,5,1,6,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,5,1,6,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,5,1,6,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,5,1,7,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,5,1,7,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,5,1,7,6,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[4,5,2,1,3,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[4,5,2,1,3,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[4,5,2,1,6,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,5,2,1,6,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[4,5,2,1,7,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,5,2,1,7,6,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[4,5,2,3,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,5,2,3,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,5,2,3,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[4,5,2,3,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[4,5,2,6,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,5,2,6,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[4,5,2,6,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[4,5,2,7,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,5,2,7,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,5,2,7,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[4,5,2,7,6,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[4,5,3,2,1,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[4,5,3,2,1,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[4,5,3,2,7,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[4,5,3,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,5,3,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,5,3,6,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[4,5,3,6,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>4
[4,5,3,7,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,5,3,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,5,3,7,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[4,5,3,7,6,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>4
[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[4,5,6,1,3,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[4,5,6,1,3,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[4,5,6,1,7,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[4,5,6,2,1,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[4,5,6,2,1,7,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[4,5,6,2,3,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[4,5,6,2,7,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[4,5,6,3,1,2,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[4,5,6,3,1,7,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>5
[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>4
[4,5,6,3,7,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>4
[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>4
[4,5,6,7,1,3,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]=>3
[4,5,6,7,2,1,3]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>4
[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>3
[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]=>4
[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>4
[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[4,5,7,1,3,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[4,5,7,1,3,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[4,5,7,1,6,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[4,5,7,2,1,3,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[4,5,7,2,1,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[4,5,7,2,3,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[4,5,7,2,6,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[4,5,7,3,1,2,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[4,5,7,3,1,6,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[4,5,7,3,2,1,6]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>5
[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>4
[4,5,7,3,6,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>4
[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]=>4
[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]=>3
[4,5,7,6,2,1,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>4
[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>3
[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]=>4
[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>4
[4,6,1,2,3,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[4,6,1,2,3,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[4,6,1,2,5,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[4,6,1,2,5,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[4,6,1,2,7,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[4,6,1,3,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,6,1,3,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,6,1,3,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,6,1,3,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[4,6,1,3,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,6,1,3,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[4,6,1,5,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,6,1,5,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,6,1,5,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,6,1,5,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[4,6,1,5,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,6,1,5,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,6,1,7,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[4,6,2,1,3,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[4,6,2,1,5,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,6,2,1,5,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[4,6,2,1,7,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,6,2,1,7,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[4,6,2,3,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,6,2,3,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,6,2,3,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[4,6,2,3,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[4,6,2,5,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,6,2,5,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,6,2,5,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[4,6,2,5,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,6,2,7,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[4,6,2,7,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[4,6,3,2,1,5,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[4,6,3,2,1,7,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[4,6,3,2,5,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[4,6,3,2,7,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[4,6,3,5,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,6,3,5,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,6,3,5,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[4,6,3,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>4
[4,6,3,7,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,6,3,7,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>4
[4,6,5,1,2,3,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[4,6,5,1,2,7,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[4,6,5,1,7,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[4,6,5,2,1,3,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[4,6,5,2,1,7,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[4,6,5,2,3,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[4,6,5,2,7,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[4,6,5,3,1,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[4,6,5,3,1,7,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[4,6,5,3,2,1,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>5
[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>4
[4,6,5,3,7,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>4
[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[4,6,5,7,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[4,6,5,7,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>4
[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[4,6,7,1,3,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[4,6,7,1,3,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[4,6,7,1,5,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[4,6,7,2,1,3,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[4,6,7,2,1,5,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[4,6,7,2,3,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[4,6,7,2,5,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[4,6,7,3,1,2,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[4,6,7,3,1,5,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[4,6,7,3,2,1,5]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>5
[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>4
[4,6,7,3,5,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>4
[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]=>4
[4,6,7,5,1,3,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]=>3
[4,6,7,5,2,1,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>4
[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>3
[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]=>4
[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>4
[4,7,1,2,3,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[4,7,1,2,3,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[4,7,1,2,5,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[4,7,1,2,6,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[4,7,1,3,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,7,1,3,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,7,1,3,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,7,1,3,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[4,7,1,3,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,7,1,3,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[4,7,1,5,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,7,1,5,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,7,1,5,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[4,7,1,5,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[4,7,1,6,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,7,1,6,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,7,2,1,5,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[4,7,2,1,6,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[4,7,2,3,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,7,2,3,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,7,2,3,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[4,7,2,3,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[4,7,2,5,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,7,2,5,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,7,2,5,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[4,7,2,5,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[4,7,2,6,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,7,2,6,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[4,7,3,2,5,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,7,3,5,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,7,3,5,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[4,7,3,5,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>4
[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>4
[4,7,5,1,2,3,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[4,7,5,2,1,3,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[4,7,5,2,1,6,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[4,7,5,2,3,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[4,7,5,2,6,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[4,7,5,3,1,2,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[4,7,5,3,1,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[4,7,5,3,2,1,6]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>5
[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>4
[4,7,5,3,6,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>4
[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]=>4
[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]=>3
[4,7,5,6,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>3
[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]=>4
[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>4
[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[4,7,6,2,1,3,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[4,7,6,2,3,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[4,7,6,3,1,2,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>5
[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>4
[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>4
[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]=>4
[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]=>3
[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>4
[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>3
[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]=>4
[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]=>4
[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>7
[5,1,2,3,4,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>6
[5,1,2,3,6,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>5
[5,1,2,3,7,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>5
[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[5,1,2,4,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[5,1,2,4,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[5,1,2,4,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>4
[5,1,2,4,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[5,1,2,4,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>4
[5,1,2,6,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[5,1,2,6,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[5,1,2,6,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[5,1,2,6,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>4
[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[5,1,2,7,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[5,1,2,7,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>4
[5,1,3,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,3,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[5,1,3,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,3,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[5,1,3,4,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,3,4,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[5,1,3,4,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[5,1,3,4,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>3
[5,1,3,4,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[5,1,3,4,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>3
[5,1,3,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,3,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[5,1,3,6,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[5,1,3,6,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[5,1,3,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[5,1,3,6,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>3
[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,3,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[5,1,3,7,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[5,1,3,7,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>3
[5,1,4,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[5,1,4,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[5,1,4,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,4,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,4,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[5,1,4,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[5,1,4,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[5,1,4,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,4,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[5,1,4,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,4,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[5,1,4,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,4,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[5,1,4,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[5,1,4,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[5,1,4,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[5,1,4,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>3
[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[5,1,4,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[5,1,4,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[5,1,4,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[5,1,4,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>3
[5,1,6,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[5,1,6,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,6,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[5,1,6,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[5,1,6,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[5,1,6,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,6,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[5,1,6,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[5,1,6,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[5,1,6,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[5,1,6,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[5,1,6,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,6,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,6,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[5,1,6,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>3
[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[5,1,7,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,7,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,7,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[5,1,7,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[5,1,7,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,7,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[5,1,7,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,7,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[5,1,7,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[5,1,7,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[5,1,7,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,7,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[5,1,7,6,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]=>3
[5,2,1,3,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[5,2,1,3,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[5,2,1,3,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[5,2,1,3,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[5,2,1,3,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[5,2,1,3,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[5,2,1,4,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,2,1,4,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,2,1,4,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[5,2,1,4,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,2,1,4,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[5,2,1,6,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,2,1,6,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,2,1,6,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,2,1,6,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[5,2,1,6,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,2,1,6,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,2,1,7,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,2,1,7,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,2,1,7,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[5,2,1,7,6,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[5,2,3,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,2,3,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,2,3,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,3,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,2,3,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,3,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>3
[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>3
[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,2,3,6,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>3
[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,2,3,7,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[5,2,3,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>3
[5,2,4,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,2,4,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,2,4,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,4,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,2,4,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,4,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[5,2,4,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,2,4,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,2,4,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[5,2,4,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>3
[5,2,4,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,2,4,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,2,4,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[5,2,4,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>3
[5,2,6,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,2,6,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,2,6,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,6,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,2,6,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,6,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,2,6,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,2,6,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,2,6,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[5,2,6,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,2,6,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,2,6,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,2,6,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[5,2,6,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>3
[5,2,7,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,2,7,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,7,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,2,7,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,2,7,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,2,7,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,2,7,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[5,2,7,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,2,7,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[5,2,7,6,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,2,7,6,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>3
[5,3,1,2,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[5,3,1,2,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[5,3,1,2,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[5,3,1,2,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[5,3,1,2,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[5,3,1,2,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[5,3,1,4,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,3,1,4,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,3,1,4,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,3,1,4,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[5,3,1,4,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,3,1,4,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[5,3,1,6,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,3,1,6,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,3,1,6,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,3,1,6,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[5,3,1,6,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,3,1,7,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,3,1,7,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,3,1,7,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[5,3,1,7,6,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[5,3,2,1,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[5,3,2,1,4,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[5,3,2,1,6,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[5,3,2,1,6,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[5,3,2,1,7,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,3,2,6,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,3,2,7,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[5,3,4,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,3,4,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,3,4,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,3,4,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,3,4,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,3,4,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,3,4,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[5,3,4,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[5,3,4,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[5,3,4,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[5,3,4,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,3,4,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,3,4,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[5,3,4,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>4
[5,3,4,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,3,4,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,3,4,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[5,3,4,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>4
[5,3,6,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,3,6,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,3,6,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,3,6,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,3,6,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[5,3,6,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[5,3,6,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[5,3,6,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,3,6,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,3,6,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[5,3,6,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[5,3,6,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,3,6,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>4
[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,3,7,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,3,7,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,3,7,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,3,7,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[5,3,7,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[5,3,7,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,3,7,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,3,7,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>4
[5,4,1,2,3,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[5,4,1,2,3,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[5,4,1,2,6,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[5,4,1,2,6,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[5,4,1,3,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,4,1,3,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,4,1,3,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,4,1,3,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[5,4,1,3,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,4,1,3,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[5,4,1,6,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,4,1,6,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,4,1,6,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,4,1,6,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[5,4,1,6,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[5,4,1,6,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[5,4,1,7,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,4,1,7,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[5,4,2,1,3,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[5,4,2,1,3,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[5,4,2,1,6,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[5,4,2,1,6,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[5,4,2,1,7,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[5,4,2,3,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,4,2,3,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,4,2,3,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[5,4,2,3,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[5,4,2,6,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,4,2,6,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,4,2,6,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[5,4,2,6,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,4,2,7,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[5,4,3,1,2,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[5,4,3,1,2,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[5,4,3,1,6,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[5,4,3,1,6,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[5,4,3,1,7,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[5,4,3,6,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,4,3,6,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,4,3,6,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>5
[5,4,3,7,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[5,4,3,7,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>5
[5,4,6,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,4,6,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,4,6,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,4,6,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,4,6,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,4,6,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[5,4,6,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[5,4,6,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[5,4,6,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[5,4,6,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[5,4,6,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[5,4,6,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[5,4,6,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>5
[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[5,4,7,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[5,4,7,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,4,7,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[5,4,7,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[5,4,7,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[5,4,7,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[5,4,7,6,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>5
[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[5,6,1,2,4,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[5,6,1,2,4,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[5,6,1,2,7,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[5,6,1,3,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[5,6,1,3,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[5,6,1,3,4,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[5,6,1,3,4,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[5,6,1,3,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[5,6,1,3,7,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[5,6,1,4,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[5,6,1,4,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[5,6,1,4,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[5,6,1,4,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[5,6,1,4,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[5,6,1,4,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[5,6,1,7,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[5,6,1,7,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[5,6,2,1,3,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[5,6,2,1,3,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[5,6,2,1,4,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,6,2,1,4,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[5,6,2,1,7,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,6,2,1,7,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,6,2,3,4,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[5,6,2,3,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,6,2,4,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[5,6,2,4,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,6,2,7,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,6,2,7,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[5,6,2,7,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[5,6,3,1,2,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[5,6,3,1,2,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[5,6,3,1,4,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,6,3,1,4,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[5,6,3,1,7,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[5,6,3,2,1,7,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[5,6,3,2,4,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,6,3,4,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>4
[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,6,3,7,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>4
[5,6,4,1,2,3,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[5,6,4,1,2,7,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[5,6,4,1,3,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,6,4,1,3,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[5,6,4,1,7,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,6,4,1,7,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[5,6,4,2,1,3,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[5,6,4,2,1,7,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[5,6,4,2,3,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[5,6,4,2,7,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[5,6,4,3,2,1,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>6
[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>5
[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>5
[5,6,4,7,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,6,4,7,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,6,4,7,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[5,6,4,7,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>5
[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>5
[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]=>4
[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]=>3
[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]=>4
[5,6,7,1,4,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]=>3
[5,6,7,2,1,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[5,6,7,2,3,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>3
[5,6,7,2,4,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>3
[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>5
[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>4
[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>4
[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>4
[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]=>5
[5,6,7,4,1,3,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]=>4
[5,6,7,4,2,1,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>5
[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>4
[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]=>5
[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>5
[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[5,7,1,2,4,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[5,7,1,2,4,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[5,7,1,2,6,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[5,7,1,3,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[5,7,1,3,4,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[5,7,1,3,4,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[5,7,1,3,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[5,7,1,3,6,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[5,7,1,4,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[5,7,1,4,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[5,7,1,4,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[5,7,1,4,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[5,7,1,4,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[5,7,1,6,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[5,7,2,1,4,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,7,2,1,4,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[5,7,2,3,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,7,2,3,4,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[5,7,2,3,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,7,2,4,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,7,2,4,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[5,7,2,4,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,7,2,6,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[5,7,3,1,4,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,7,3,1,4,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[5,7,3,2,1,4,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[5,7,3,2,4,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,7,3,4,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>4
[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>4
[5,7,4,1,2,3,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[5,7,4,1,2,6,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[5,7,4,1,3,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,7,4,1,3,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[5,7,4,1,6,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[5,7,4,2,1,3,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[5,7,4,2,3,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>6
[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>5
[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>5
[5,7,4,6,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[5,7,4,6,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>5
[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]=>5
[5,7,6,1,2,4,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]=>4
[5,7,6,1,3,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]=>3
[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]=>4
[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]=>3
[5,7,6,2,1,3,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[5,7,6,2,3,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>3
[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>3
[5,7,6,3,1,2,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>5
[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>4
[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>4
[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>4
[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]=>5
[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]=>4
[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>5
[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>4
[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]=>5
[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]=>5
[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>7
[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>6
[6,1,2,3,5,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>5
[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[6,1,2,3,7,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>5
[6,1,2,4,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[6,1,2,4,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[6,1,2,4,5,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[6,1,2,4,5,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>4
[6,1,2,4,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[6,1,2,4,7,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>4
[6,1,2,5,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[6,1,2,5,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[6,1,2,5,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[6,1,2,5,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[6,1,2,5,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[6,1,2,5,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>4
[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[6,1,2,7,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[6,1,2,7,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[6,1,2,7,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[6,1,2,7,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>4
[6,1,3,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[6,1,3,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,3,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,3,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[6,1,3,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,3,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[6,1,3,4,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[6,1,3,4,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[6,1,3,4,5,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[6,1,3,4,5,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>3
[6,1,3,4,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[6,1,3,4,7,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>3
[6,1,3,5,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[6,1,3,5,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[6,1,3,5,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[6,1,3,5,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[6,1,3,5,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[6,1,3,5,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>3
[6,1,3,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[6,1,3,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[6,1,3,7,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[6,1,3,7,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[6,1,3,7,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>3
[6,1,4,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[6,1,4,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,4,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,4,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[6,1,4,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[6,1,4,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[6,1,4,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[6,1,4,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,4,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[6,1,4,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,4,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[6,1,4,5,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[6,1,4,5,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[6,1,4,5,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[6,1,4,5,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[6,1,4,5,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[6,1,4,5,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>3
[6,1,4,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[6,1,4,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[6,1,4,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[6,1,4,7,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>3
[6,1,5,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[6,1,5,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,5,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,5,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[6,1,5,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,5,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[6,1,5,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[6,1,5,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[6,1,5,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,5,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[6,1,5,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,5,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[6,1,5,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[6,1,5,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[6,1,5,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[6,1,5,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[6,1,5,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,5,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[6,1,5,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[6,1,5,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[6,1,5,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[6,1,5,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[6,1,5,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>3
[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[6,1,7,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,7,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[6,1,7,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[6,1,7,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[6,1,7,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[6,1,7,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,7,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[6,1,7,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[6,1,7,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,7,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[6,1,7,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[6,1,7,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]=>3
[6,2,1,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[6,2,1,3,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[6,2,1,3,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,2,1,3,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[6,2,1,3,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,2,1,3,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,2,1,4,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,2,1,4,5,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,2,1,4,5,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[6,2,1,4,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,2,1,4,7,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[6,2,1,5,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,2,1,5,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,2,1,5,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,2,1,5,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,2,1,5,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,2,1,5,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[6,2,1,7,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,2,1,7,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,2,1,7,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,2,1,7,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,2,1,7,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[6,2,3,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,2,3,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,2,3,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,3,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,2,3,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,3,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>3
[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>3
[6,2,3,5,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,2,3,5,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[6,2,3,5,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>3
[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,2,3,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,2,3,7,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>3
[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,2,4,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,4,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,2,4,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[6,2,4,5,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,2,4,5,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,2,4,5,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[6,2,4,5,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>3
[6,2,4,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,2,4,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,2,4,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[6,2,4,7,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>3
[6,2,5,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,2,5,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,2,5,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,5,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,2,5,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,5,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,2,5,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,2,5,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,2,5,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[6,2,5,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[6,2,5,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,2,5,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[6,2,5,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[6,2,5,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,2,5,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[6,2,5,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>3
[6,2,7,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,2,7,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,2,7,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,7,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,2,7,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,2,7,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,2,7,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,2,7,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[6,2,7,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,2,7,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[6,2,7,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,2,7,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>3
[6,3,1,2,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[6,3,1,2,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[6,3,1,2,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,3,1,2,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[6,3,1,2,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,3,1,2,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[6,3,1,4,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,3,1,4,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,3,1,4,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,3,1,4,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[6,3,1,4,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[6,3,1,5,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,3,1,5,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,3,1,5,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,3,1,5,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,3,1,5,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,3,1,5,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[6,3,1,7,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,3,1,7,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,3,1,7,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,3,1,7,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[6,3,2,1,4,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[6,3,2,1,5,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,3,2,1,5,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[6,3,2,1,7,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,3,2,5,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[6,3,2,5,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,3,2,7,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[6,3,4,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,3,4,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,3,4,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,3,4,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,3,4,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,3,4,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,3,4,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,3,4,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[6,3,4,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[6,3,4,5,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,3,4,5,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,3,4,5,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>4
[6,3,4,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,3,4,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>4
[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,3,5,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,3,5,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,3,5,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,3,5,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,3,5,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,3,5,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[6,3,5,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[6,3,5,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,3,5,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,3,5,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[6,3,5,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[6,3,5,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,3,5,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,3,5,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[6,3,5,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>4
[6,3,7,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,3,7,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,3,7,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,3,7,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,3,7,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[6,3,7,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,3,7,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[6,3,7,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>4
[6,4,1,2,3,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[6,4,1,2,3,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[6,4,1,2,5,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,4,1,2,5,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[6,4,1,3,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,4,1,3,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,4,1,3,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,4,1,3,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[6,4,1,3,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,4,1,3,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[6,4,1,5,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,4,1,5,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,4,1,5,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,4,1,5,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,4,1,5,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,4,1,5,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,4,1,7,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,4,1,7,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[6,4,2,1,3,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[6,4,2,1,5,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,4,2,1,5,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[6,4,2,1,7,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[6,4,2,3,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,4,2,3,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,4,2,3,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[6,4,2,3,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[6,4,2,5,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,4,2,5,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,4,2,5,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[6,4,2,5,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,4,2,7,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[6,4,3,1,2,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[6,4,3,1,2,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[6,4,3,1,5,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,4,3,1,5,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[6,4,3,1,7,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[6,4,3,5,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,4,3,5,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,4,3,5,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[6,4,3,5,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>5
[6,4,3,7,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>5
[6,4,5,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,4,5,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,4,5,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,4,5,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,4,5,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[6,4,5,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,4,5,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,4,5,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[6,4,5,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[6,4,5,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[6,4,5,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[6,4,5,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[6,4,5,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>5
[6,4,7,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,4,7,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,4,7,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[6,4,7,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,4,7,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[6,4,7,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>5
[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[6,5,1,2,3,7,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[6,5,1,2,4,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,5,1,2,4,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[6,5,1,2,7,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[6,5,1,2,7,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[6,5,1,3,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,5,1,3,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,5,1,3,4,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,5,1,3,4,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[6,5,1,3,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,5,1,3,7,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[6,5,1,4,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,5,1,4,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,5,1,4,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,5,1,4,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[6,5,1,4,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[6,5,1,7,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[6,5,1,7,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[6,5,1,7,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,5,1,7,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[6,5,1,7,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[6,5,2,1,3,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[6,5,2,1,3,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[6,5,2,1,4,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,5,2,1,4,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[6,5,2,1,7,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[6,5,2,3,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,5,2,3,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,5,2,3,4,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[6,5,2,3,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[6,5,2,4,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,5,2,4,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,5,2,4,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[6,5,2,4,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[6,5,2,7,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,5,2,7,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[6,5,3,1,2,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[6,5,3,1,4,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,5,3,1,4,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[6,5,3,1,7,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[6,5,3,2,1,4,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[6,5,3,2,4,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[6,5,3,4,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,5,3,4,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[6,5,3,4,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>5
[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[6,5,3,7,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>5
[6,5,4,1,2,3,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[6,5,4,1,2,7,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[6,5,4,1,3,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,5,4,1,3,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[6,5,4,1,7,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[6,5,4,2,1,3,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[6,5,4,2,1,7,3]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[6,5,4,2,3,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]=>7
[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>6
[6,5,4,3,7,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>6
[6,5,4,7,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[6,5,4,7,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[6,5,4,7,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[6,5,4,7,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>6
[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[6,5,7,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[6,5,7,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,5,7,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[6,5,7,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,5,7,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[6,5,7,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[6,5,7,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,5,7,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[6,5,7,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>6
[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>6
[6,7,1,2,3,5,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]=>5
[6,7,1,2,4,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]=>4
[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]=>5
[6,7,1,2,5,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]=>4
[6,7,1,3,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[6,7,1,3,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]=>3
[6,7,1,3,5,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[6,7,1,3,5,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]=>3
[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[6,7,1,4,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]=>4
[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]=>3
[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]=>5
[6,7,1,5,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]=>4
[6,7,1,5,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]=>3
[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]=>4
[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]=>3
[6,7,2,1,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[6,7,2,1,4,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,2,1,4,5,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[6,7,2,1,5,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[6,7,2,3,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[6,7,2,3,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[6,7,2,3,4,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>3
[6,7,2,3,5,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>3
[6,7,2,4,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[6,7,2,4,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[6,7,2,4,5,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>3
[6,7,2,5,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[6,7,2,5,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>3
[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>3
[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[6,7,3,1,2,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[6,7,3,1,4,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[6,7,3,2,1,4,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[6,7,3,4,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]=>4
[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>4
[6,7,3,5,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]=>4
[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>4
[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[6,7,4,1,3,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,4,1,3,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[6,7,4,2,1,3,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[6,7,4,2,1,5,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[6,7,4,2,3,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[6,7,4,3,2,1,5]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>6
[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>5
[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>5
[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]=>5
[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]=>4
[6,7,4,5,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>4
[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]=>5
[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>5
[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]=>6
[6,7,5,1,2,4,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]=>5
[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]=>4
[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]=>5
[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]=>4
[6,7,5,2,1,3,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[6,7,5,2,3,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>4
[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>4
[6,7,5,3,1,2,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[6,7,5,3,2,1,4]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>6
[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>5
[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>5
[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>5
[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]=>6
[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]=>5
[6,7,5,4,2,1,3]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>6
[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]=>5
[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]=>6
[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]=>6
[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>7
[7,1,2,3,4,6,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]=>6
[7,1,2,3,5,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]=>5
[7,1,2,3,6,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]=>6
[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]=>5
[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[7,1,2,4,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[7,1,2,4,5,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]=>4
[7,1,2,4,6,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[7,1,2,4,6,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]=>4
[7,1,2,5,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[7,1,2,5,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[7,1,2,5,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]=>5
[7,1,2,5,6,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]=>4
[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]=>6
[7,1,2,6,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]=>5
[7,1,2,6,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]=>4
[7,1,2,6,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]=>5
[7,1,2,6,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]=>4
[7,1,3,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[7,1,3,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,3,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[7,1,3,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,3,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[7,1,3,4,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,3,4,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]=>3
[7,1,3,4,6,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[7,1,3,4,6,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]=>3
[7,1,3,5,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,3,5,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[7,1,3,5,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[7,1,3,5,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[7,1,3,5,6,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[7,1,3,5,6,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]=>3
[7,1,3,6,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,3,6,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[7,1,3,6,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[7,1,3,6,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]=>3
[7,1,3,6,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[7,1,3,6,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]=>3
[7,1,4,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[7,1,4,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[7,1,4,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[7,1,4,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[7,1,4,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[7,1,4,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,4,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[7,1,4,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,4,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[7,1,4,5,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]=>4
[7,1,4,5,6,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]=>3
[7,1,4,6,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,4,6,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[7,1,4,6,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[7,1,4,6,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]=>4
[7,1,4,6,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]=>3
[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[7,1,5,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,5,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,5,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[7,1,5,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[7,1,5,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,5,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[7,1,5,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[7,1,5,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[7,1,5,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[7,1,5,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,5,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,5,6,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]=>4
[7,1,5,6,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]=>3
[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]=>4
[7,1,5,6,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]=>3
[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]=>6
[7,1,6,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]=>5
[7,1,6,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]=>4
[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,6,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]=>4
[7,1,6,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[7,1,6,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[7,1,6,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]=>3
[7,1,6,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,6,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]=>3
[7,1,6,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[7,1,6,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[7,1,6,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]=>3
[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]=>5
[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]=>4
[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]=>3
[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]=>4
[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]=>3
[7,2,1,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[7,2,1,3,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,2,1,3,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[7,2,1,3,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,2,1,3,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[7,2,1,4,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,2,1,4,5,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[7,2,1,4,6,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,2,1,4,6,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[7,2,1,5,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,2,1,5,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,2,1,5,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,2,1,5,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,2,1,5,6,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,2,1,5,6,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[7,2,1,6,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,2,1,6,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,2,1,6,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,2,1,6,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,2,1,6,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[7,2,3,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,2,3,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,2,3,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,2,3,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,3,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>3
[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>3
[7,2,3,5,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,2,3,5,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[7,2,3,5,6,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>3
[7,2,3,6,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,2,3,6,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>3
[7,2,3,6,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>3
[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,2,4,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,2,4,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,4,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,2,4,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,4,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[7,2,4,5,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,2,4,5,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[7,2,4,5,6,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>3
[7,2,4,6,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,2,4,6,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,2,4,6,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[7,2,4,6,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[7,2,4,6,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[7,2,4,6,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>3
[7,2,5,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,2,5,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,5,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,2,5,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,5,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,2,5,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,2,5,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,2,5,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[7,2,5,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[7,2,5,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[7,2,5,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[7,2,5,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,2,5,6,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>3
[7,2,5,6,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>3
[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,2,6,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,2,6,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,6,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,2,6,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,2,6,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,2,6,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,2,6,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>3
[7,2,6,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>3
[7,2,6,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,2,6,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[7,2,6,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>3
[7,2,6,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,2,6,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>3
[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>3
[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[7,3,1,2,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[7,3,1,2,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,3,1,2,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,3,1,2,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[7,3,1,4,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,3,1,4,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,3,1,4,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[7,3,1,5,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,3,1,5,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,3,1,5,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,3,1,5,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,3,1,5,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,3,1,6,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,3,1,6,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,3,1,6,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[7,3,2,1,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,3,2,1,4,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,3,2,1,5,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,3,2,1,5,6,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,3,2,1,6,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[7,3,2,5,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,3,2,5,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,3,2,5,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[7,3,2,6,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[7,3,4,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,3,4,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,3,4,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,3,4,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,3,4,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,3,4,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,3,4,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,3,4,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[7,3,4,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,3,4,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[7,3,4,5,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,3,4,5,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[7,3,4,5,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]=>4
[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]=>4
[7,3,4,6,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,3,4,6,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,3,4,6,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[7,3,4,6,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]=>4
[7,3,4,6,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]=>4
[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,3,5,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,3,5,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,3,5,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,3,5,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,3,5,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,3,5,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[7,3,5,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[7,3,5,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,3,5,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,3,5,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[7,3,5,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[7,3,5,6,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,3,5,6,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[7,3,5,6,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]=>4
[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]=>4
[7,3,6,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,3,6,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,3,6,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,3,6,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,3,6,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,3,6,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,3,6,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[7,3,6,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,3,6,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[7,3,6,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]=>4
[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]=>4
[7,3,6,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]=>4
[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]=>4
[7,4,1,2,3,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[7,4,1,2,3,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[7,4,1,2,5,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[7,4,1,2,6,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,4,1,2,6,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[7,4,1,3,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,4,1,3,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,4,1,3,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[7,4,1,3,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,4,1,3,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[7,4,1,5,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,4,1,5,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,4,1,5,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,4,1,5,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,4,1,6,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[7,4,2,1,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,4,2,1,3,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,4,2,1,5,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,4,2,1,5,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,4,2,1,6,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,4,2,3,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,4,2,3,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,4,2,3,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,4,2,3,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[7,4,2,3,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,4,2,3,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,4,2,5,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,4,2,5,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,4,2,5,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,4,2,5,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,4,2,6,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[7,4,3,1,2,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,4,3,1,2,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,4,3,1,5,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,4,3,1,5,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,4,3,1,6,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[7,4,3,5,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,4,3,5,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,4,3,5,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,4,3,5,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,4,3,5,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,4,3,5,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>5
[7,4,3,6,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,4,3,6,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>5
[7,4,5,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,4,5,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,4,5,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,4,5,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[7,4,5,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,4,5,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,4,5,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[7,4,5,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,4,5,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]=>5
[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]=>4
[7,4,5,6,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>4
[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]=>5
[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>5
[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,4,6,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,4,6,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[7,4,6,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,4,6,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[7,4,6,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]=>5
[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]=>4
[7,4,6,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>4
[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]=>5
[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>5
[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[7,5,1,2,4,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,5,1,2,4,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[7,5,1,3,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,5,1,3,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,5,1,3,4,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,5,1,3,4,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[7,5,1,3,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[7,5,1,4,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,5,1,4,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,5,1,4,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,5,1,4,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,5,1,4,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,5,1,4,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,5,1,6,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,5,2,1,3,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,5,2,1,4,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,5,2,1,4,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,5,2,1,6,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,5,2,3,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,5,2,3,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,5,2,3,4,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,5,2,3,4,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[7,5,2,3,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[7,5,2,4,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,5,2,4,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,5,2,4,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,5,2,4,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,5,2,4,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[7,5,2,6,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,5,2,6,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[7,5,3,1,2,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,5,3,1,2,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,5,3,1,4,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,5,3,1,4,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,5,3,1,6,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,5,3,2,1,4,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,5,3,2,4,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,5,3,2,4,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[7,5,3,4,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,5,3,4,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,5,3,4,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>5
[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>5
[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,5,4,1,2,6,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,5,4,1,3,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,5,4,1,3,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,5,4,2,1,3,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,5,4,2,1,6,3]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,5,4,2,3,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,5,4,2,3,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[7,5,4,3,1,2,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,5,4,3,1,6,2]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]=>7
[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>6
[7,5,4,3,6,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>6
[7,5,4,6,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,5,4,6,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,5,4,6,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,5,4,6,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,5,4,6,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>6
[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]=>6
[7,5,6,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]=>5
[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]=>4
[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]=>5
[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]=>4
[7,5,6,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,5,6,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>4
[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>4
[7,5,6,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,5,6,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[7,5,6,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>5
[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>5
[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]=>6
[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]=>5
[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]=>5
[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]=>6
[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>6
[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]=>7
[7,6,1,2,3,5,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]=>6
[7,6,1,2,4,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,6,1,2,4,5,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]=>5
[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]=>6
[7,6,1,2,5,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]=>5
[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,6,1,3,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]=>4
[7,6,1,3,5,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,6,1,3,5,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]=>4
[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,6,1,4,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]=>5
[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]=>4
[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]=>6
[7,6,1,5,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]=>5
[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]=>4
[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]=>5
[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]=>4
[7,6,2,1,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,6,2,1,4,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,2,1,4,5,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,6,2,1,5,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,6,2,3,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,6,2,3,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,6,2,3,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>4
[7,6,2,3,5,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,6,2,3,5,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>4
[7,6,2,4,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,6,2,4,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,6,2,4,5,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>4
[7,6,2,5,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,6,2,5,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>4
[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>4
[7,6,3,1,2,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,6,3,1,2,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,6,3,1,4,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,6,3,2,1,4,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,6,3,2,1,5,4]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,6,3,2,4,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,3,2,4,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[7,6,3,2,5,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[7,6,3,4,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]=>5
[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>5
[7,6,3,5,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,6,3,5,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]=>5
[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>5
[7,6,4,1,2,3,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,6,4,1,3,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,4,1,3,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,6,4,2,1,3,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,6,4,2,1,5,3]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,6,4,2,3,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,4,2,3,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[7,6,4,2,5,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[7,6,4,3,1,2,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,6,4,3,1,5,2]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]=>7
[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>6
[7,6,4,3,5,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>6
[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]=>6
[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]=>5
[7,6,4,5,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>5
[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]=>6
[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>6
[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]=>7
[7,6,5,1,2,4,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]=>6
[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]=>5
[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]=>6
[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]=>5
[7,6,5,2,1,3,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,6,5,2,3,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>5
[7,6,5,2,4,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>5
[7,6,5,3,1,2,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]=>7
[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>6
[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>6
[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>6
[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]=>7
[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]=>6
[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]=>7
[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]=>6
[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]=>7
[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>7
[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>8
[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[7,6,5,8,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[8,5,4,6,3,7,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[7,6,4,5,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[7,5,4,6,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[6,5,4,7,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>6
[7,6,8,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>6
[8,7,5,6,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[8,6,5,7,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[7,6,5,8,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[8,7,6,4,5,2,3,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,6,7,5,3,2,4,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>6
[7,6,8,5,3,2,4,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>6
[8,7,5,6,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[7,6,5,8,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[7,6,8,4,3,2,5,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>6
[8,7,6,3,4,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,7,5,3,4,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,7,4,3,5,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,5,4,6,3,2,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[8,6,4,3,5,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,3,4,5,2,6,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[6,5,7,4,3,2,8,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>6
[7,6,4,5,3,2,8,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[7,6,5,3,4,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[7,6,4,3,5,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[7,5,4,3,6,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[7,4,5,6,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[6,3,4,5,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>2
[8,7,6,5,4,3,1,2]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>8
[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>7
[8,6,7,5,4,3,1,2]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[7,6,8,5,4,3,1,2]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[6,7,8,5,4,3,1,2]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>6
[8,7,5,6,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[8,6,5,7,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[7,6,5,8,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[8,7,6,4,5,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[8,7,5,4,6,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[7,6,5,4,8,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[8,7,6,5,3,4,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[8,5,6,7,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,7,5,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,5,6,8,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,5,7,8,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[8,6,7,3,4,5,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,8,4,5,3,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[8,6,5,4,3,7,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[7,6,5,4,3,8,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[6,7,4,5,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,4,7,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,4,5,7,3,8,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,4,6,3,7,8,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,7,6,5,4,2,1,3]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>8
[7,8,6,5,4,2,1,3]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>7
[8,6,7,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[6,7,8,5,4,2,1,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>6
[8,7,5,6,4,2,1,3]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[7,6,5,8,4,2,1,3]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[8,7,6,4,5,2,1,3]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[7,6,5,4,8,2,1,3]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[7,8,5,6,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,7,5,8,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[7,5,6,8,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,5,7,8,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[8,6,7,4,5,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,8,5,4,6,1,2,3]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,5,6,4,7,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,6,4,5,7,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,7,5,4,8,1,2,3]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,5,6,4,8,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,5,7,4,8,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,6,4,5,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,5,4,6,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,5,4,7,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,7,6,5,3,2,1,4]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>8
[7,8,6,5,3,2,1,4]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>7
[8,6,7,5,3,2,1,4]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[7,6,8,5,3,2,1,4]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[6,7,8,5,3,2,1,4]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>6
[8,7,5,6,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[8,6,5,7,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[8,7,6,5,2,3,1,4]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[7,8,5,6,2,3,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[8,5,6,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,7,5,8,2,3,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,5,6,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,5,7,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,8,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[6,7,5,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[7,5,6,8,3,1,2,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,5,7,8,3,1,2,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,7,8,5,2,1,3,4]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[7,8,5,6,2,1,3,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[8,5,6,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,7,5,8,2,1,3,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[7,5,6,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,5,7,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[7,5,6,8,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,5,7,8,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[8,7,6,4,3,2,1,5]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>8
[7,8,6,4,3,2,1,5]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>7
[8,6,7,4,3,2,1,5]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[7,6,8,4,3,2,1,5]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[6,7,8,4,3,2,1,5]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>6
[8,7,6,3,4,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[8,7,6,4,2,3,1,5]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,6,3,2,4,1,5]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,6,7,2,3,4,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,6,8,2,3,4,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,7,8,4,3,1,2,5]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[7,8,6,3,4,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[8,6,7,3,4,1,2,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,7,8,4,2,1,3,5]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[6,7,8,3,2,1,4,5]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[7,8,6,2,3,1,4,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[8,6,7,2,3,1,4,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,6,8,2,3,1,4,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,7,5,4,3,2,1,6]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>8
[7,8,5,4,3,2,1,6]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>7
[8,7,4,5,3,2,1,6]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[8,7,5,3,4,2,1,6]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[7,8,4,5,2,3,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[8,7,5,3,2,4,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,4,3,2,5,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[7,8,3,4,2,5,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[8,7,3,4,5,1,2,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,8,3,4,2,1,5,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[7,8,4,2,3,1,5,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,8,3,2,4,1,5,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[8,7,2,3,4,1,5,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>8
[8,5,6,4,3,2,1,7]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[8,6,4,5,3,2,1,7]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[8,6,5,3,4,2,1,7]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[8,6,5,4,2,3,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,4,5,6,2,3,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[8,6,5,3,2,4,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,5,6,2,3,4,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,5,4,3,2,6,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,4,5,2,3,6,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,5,6,3,4,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,5,3,4,6,1,2,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,4,3,5,6,1,2,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,4,5,6,2,1,3,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[8,4,5,6,1,2,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,5,6,2,3,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,6,2,3,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,3,4,5,2,1,6,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[8,4,5,2,3,1,6,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,5,2,3,4,1,6,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,4,2,3,5,1,6,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,3,4,5,1,2,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,2,3,4,1,5,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>8
[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]=>8
[6,7,5,4,3,2,1,8]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>7
[7,5,6,4,3,2,1,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[6,5,7,4,3,2,1,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[5,6,7,4,3,2,1,8]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>6
[7,6,4,5,3,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[7,5,4,6,3,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[6,5,4,7,3,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[7,6,5,3,4,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[7,6,4,3,5,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[7,5,4,3,6,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[6,5,4,3,7,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[7,6,5,4,2,3,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[6,7,4,5,2,3,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,4,7,2,3,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,4,6,7,2,3,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,6,5,3,2,4,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[7,5,6,2,3,4,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,5,7,2,3,4,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,7,3,4,2,5,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,5,4,3,2,6,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[6,5,4,3,2,7,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[5,6,3,4,2,7,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,3,4,5,2,7,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,5,3,6,2,7,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,3,4,6,2,7,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,3,5,6,2,7,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,4,6,2,3,7,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,4,6,7,3,1,2,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,5,7,3,4,1,2,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,6,7,2,1,3,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,4,5,6,1,2,3,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,4,6,7,1,2,3,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,5,6,7,1,2,3,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[6,7,5,2,3,1,4,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,5,6,2,3,1,4,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,5,7,2,3,1,4,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,7,3,4,2,1,5,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[6,7,4,2,3,1,5,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,6,2,3,4,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,3,4,5,2,1,6,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,5,2,3,4,1,6,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,4,2,3,5,1,6,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,2,3,4,1,5,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[7,1,2,3,4,5,6,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>8
[4,5,6,3,2,1,7,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[5,6,3,4,2,1,7,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[6,3,4,5,2,1,7,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[5,4,6,2,3,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,6,3,2,4,1,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[6,5,2,3,4,1,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[4,5,3,2,6,1,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,3,5,2,6,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,3,2,5,6,1,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[4,3,5,6,1,2,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[3,4,5,6,1,2,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[6,1,2,3,4,5,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>8
[5,2,3,4,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,2,3,5,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[3,2,4,5,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[2,3,4,5,1,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[5,1,2,3,4,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>8
[4,1,2,3,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>8
[3,1,2,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>8
[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>8
[6,5,4,3,8,7,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>2
[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>2
[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>2
[4,3,2,8,7,6,5,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[2,4,3,6,8,7,5,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>2
[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>2
[4,3,5,2,8,7,6,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>2
[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>2
[6,5,4,3,2,8,7,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>6
[4,3,6,5,2,8,7,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[2,4,6,5,3,8,7,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>2
[4,3,2,6,5,8,7,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>2
[4,3,2,6,7,5,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[4,3,5,2,7,6,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>2
[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>2
[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]=>2
[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>2
[1,6,8,7,5,4,3,2]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>2
[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>2
[1,6,7,8,5,4,3,2]=>[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>2
[1,5,8,7,6,4,3,2]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>2
[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>2
[1,3,5,7,8,6,4,2]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>2
[1,3,6,7,5,8,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>2
[1,4,5,3,7,8,6,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>2
[1,4,6,7,5,3,8,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>2
[1,5,6,4,7,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>2
[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>3
[2,1,4,6,8,7,5,3]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>3
[2,1,6,5,4,8,7,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[2,1,4,6,5,8,7,3]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[2,1,6,5,7,4,8,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[2,3,1,8,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[2,3,1,5,7,8,6,4]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[2,3,1,6,5,8,7,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,3,1,6,7,5,8,4]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[2,3,1,5,7,6,8,4]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[2,4,3,1,8,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[2,4,3,1,6,8,7,5]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[2,4,3,1,7,6,8,5]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[2,1,4,3,6,8,7,5]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[2,3,1,4,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[2,1,3,4,6,7,8,5]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>5
[4,5,3,2,1,8,7,6]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[4,3,5,2,1,8,7,6]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[2,5,4,3,1,8,7,6]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[2,4,5,3,1,7,8,6]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[4,3,2,5,1,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[3,4,2,5,1,7,8,6]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,4,3,5,1,7,8,6]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[3,2,4,5,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,1,4,5,3,8,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[2,3,4,1,5,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[2,1,3,4,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>6
[2,1,3,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>6
[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[4,6,5,3,2,1,8,7]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[4,3,6,5,2,1,8,7]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[4,5,3,6,2,1,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[4,3,5,6,2,1,8,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[2,4,6,5,3,1,8,7]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[4,3,2,6,5,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,4,3,6,5,1,8,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[4,3,5,2,6,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,3,2,5,6,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[1,5,4,6,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,1,4,6,5,3,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[2,3,1,6,5,4,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[2,4,3,1,6,5,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,3,4,1,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,3,1,4,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,5,3,2,1,6,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[4,3,5,2,1,6,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[2,3,5,4,1,6,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,1,4,5,3,6,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,3,4,1,5,6,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>7
[5,7,6,4,3,2,1,8]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>6
[4,7,6,5,3,2,1,8]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>5
[3,5,6,4,7,2,1,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[2,4,6,7,5,3,1,8]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>3
[2,5,6,4,7,3,1,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[4,3,2,6,7,5,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[3,4,2,6,7,5,1,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[4,5,3,2,7,6,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[4,3,5,2,7,6,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,5,6,4,2,7,1,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[3,4,2,6,5,7,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[2,1,6,7,5,4,3,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[2,3,1,6,7,5,4,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,3,1,6,5,7,4,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,3,2,1,6,7,5,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,3,4,1,7,6,5,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,1,4,3,6,7,5,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,3,1,4,6,7,5,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[4,5,3,2,1,7,6,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[2,4,5,3,1,7,6,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,4,3,5,1,7,6,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[1,4,3,5,2,7,6,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,3,1,5,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,2,4,1,5,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,3,4,1,5,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,1,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[2,3,1,5,6,4,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,2,4,1,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,3,4,1,6,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,5,3,4,2,7,8,6]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[1,5,3,4,2,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,6,4,5,3,2,8,7]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[1,8,7,5,6,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>2
[2,1,4,8,5,7,6,3]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[2,1,7,5,6,4,8,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[2,1,8,5,6,4,7,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[2,3,1,7,5,6,4,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>2
[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>2
[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>2
[2,4,3,8,5,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[2,6,3,5,4,1,8,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[2,6,3,5,4,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[2,8,3,5,4,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[2,8,3,5,7,6,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>2
[4,2,3,1,5,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,2,3,1,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,2,3,5,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[5,2,3,4,1,6,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,2,3,4,1,7,8,6]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,2,3,4,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[4,3,2,8,5,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[5,3,2,4,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,3,2,4,1,7,6,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
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[7,3,2,5,4,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
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[7,3,2,5,6,4,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,3,2,5,6,4,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[5,3,4,2,1,6,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
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[5,3,4,2,7,6,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,3,4,2,8,6,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
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[8,3,4,2,6,5,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
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[7,3,5,4,2,6,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[8,3,5,4,2,7,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
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[8,5,4,3,7,6,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
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[2,1,4,3,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,4,1,3,6,8,5,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,1,4,6,3,8,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,4,1,6,3,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,4,6,1,3,8,5,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,1,4,6,8,3,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,4,1,6,8,3,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,4,6,1,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,4,6,8,1,3,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,1,4,6,3,7,5,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,4,1,6,3,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,4,6,1,3,7,5,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,4,6,7,1,3,5,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
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[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
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[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,4,1,3,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,4,1,7,3,8,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,4,7,8,3,5,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,4,1,7,8,3,5,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,4,7,1,8,3,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,4,7,8,1,3,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,4,1,5,3,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,4,5,1,3,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,4,5,1,7,3,6,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,4,5,1,7,3,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,4,1,5,3,8,6,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,4,5,8,3,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,4,1,5,8,3,6,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,4,5,1,8,3,6,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,4,1,5,3,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,4,5,1,6,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,4,1,5,6,3,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,4,5,1,6,3,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,4,5,6,1,3,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,1,5,3,6,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,5,1,3,6,4,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,5,1,6,3,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,5,6,1,3,4,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,1,5,3,6,8,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,5,1,3,6,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,5,6,1,3,8,4,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,1,5,6,8,3,4,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,5,1,6,8,3,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,5,6,8,1,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,1,5,3,6,7,4,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,1,5,6,3,7,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,5,1,6,3,7,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,5,6,1,3,7,4,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,1,5,6,7,3,4,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,5,1,6,7,3,4,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,1,5,3,7,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,5,1,3,7,4,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,1,5,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,5,7,1,3,4,8,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,1,5,3,7,8,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,5,1,3,7,8,4,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,1,5,7,8,3,4,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,5,1,7,8,3,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,5,7,1,8,3,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,5,7,8,1,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,3,5,1,4,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,3,5,7,1,4,6,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,3,5,1,7,4,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,3,5,1,4,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,3,5,1,8,4,6,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,3,5,8,1,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,3,5,1,6,4,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,3,5,6,1,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,1,6,3,7,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,6,1,3,7,4,8,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,1,6,7,3,4,8,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,6,1,7,3,4,8,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,1,6,3,7,8,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,6,1,3,7,8,4,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,6,1,7,3,8,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,6,1,7,8,3,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,6,7,1,8,3,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,6,7,8,1,3,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,3,1,6,4,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,3,1,6,4,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,3,6,1,4,8,5,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,3,1,6,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,3,6,1,8,4,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,3,6,1,4,5,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,3,4,6,1,5,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,3,1,7,4,8,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,3,1,7,8,4,5,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,3,7,8,1,4,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,3,1,7,4,5,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,3,7,1,4,5,8,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,3,4,1,7,5,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,3,1,4,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,1,3,4,7,5,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[2,3,4,1,7,5,6,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,3,4,7,1,5,6,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,1,3,4,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[2,3,4,1,8,5,6,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,3,4,8,1,5,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[2,1,3,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[2,3,4,1,5,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,1,4,2,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,4,6,2,5,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[3,4,1,6,2,5,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,4,6,1,2,5,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,4,1,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,1,4,6,2,8,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,4,1,6,2,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,4,6,8,2,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,4,1,6,8,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,4,6,8,1,2,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,1,4,2,6,7,5,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,4,1,2,6,7,5,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,4,1,6,2,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,4,6,1,2,7,5,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,4,1,6,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,4,6,7,1,2,5,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,4,6,1,7,2,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,1,4,2,7,5,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,4,1,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,4,7,2,5,8,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[3,4,7,1,2,5,8,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,1,4,2,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,4,7,1,8,2,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,4,7,8,1,2,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,1,4,5,2,7,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,4,1,5,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,4,1,5,7,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,4,5,7,1,2,6,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,4,1,5,2,8,6,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,4,5,1,2,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,1,4,5,8,2,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,4,1,5,8,2,6,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,4,5,8,1,2,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,4,5,1,2,6,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,4,5,1,6,2,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,4,1,5,6,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,4,5,1,6,2,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,1,5,2,6,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,5,1,2,6,4,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,5,6,2,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,5,6,1,2,4,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,1,5,2,6,8,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,5,1,2,6,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,5,6,1,2,8,4,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,1,5,6,8,2,4,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,5,1,6,8,2,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,5,6,1,8,2,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,5,6,8,1,2,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,5,1,2,6,7,4,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,5,1,6,2,7,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,5,6,1,2,7,4,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,5,1,6,7,2,4,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,5,6,1,7,2,4,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,5,6,7,1,2,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,5,6,1,7,2,8,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,1,5,2,7,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,5,1,2,7,4,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,5,7,2,4,8,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[3,5,7,1,2,4,8,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,1,5,2,7,8,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,5,1,2,7,8,4,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,1,5,7,2,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,5,7,8,2,4,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,5,1,7,8,2,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,5,7,8,1,2,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,1,6,2,7,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,6,1,2,7,4,8,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,6,1,7,2,4,8,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,6,7,1,2,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,6,1,2,7,8,4,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,1,6,7,2,8,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,6,1,7,2,8,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,6,7,8,1,2,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[3,1,2,4,6,7,8,5]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>5
[3,1,2,4,7,5,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[3,1,2,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[3,1,2,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>6
[3,1,2,4,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[3,1,2,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>7
[4,1,5,2,6,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,5,1,2,6,3,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,1,5,6,2,3,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[4,5,1,6,2,3,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[4,1,5,2,6,8,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,5,1,2,6,8,3,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[4,1,5,6,2,8,3,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[4,5,6,1,2,8,3,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[4,5,1,6,8,2,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,5,6,1,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,5,6,8,1,2,3,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[4,5,1,2,6,7,3,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[4,5,1,6,2,7,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,5,6,1,2,7,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[4,5,6,1,7,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,5,6,1,7,2,8,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[4,1,5,2,7,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,5,1,2,7,3,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,5,1,7,2,3,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,1,5,2,7,8,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,5,1,2,7,8,3,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[4,1,5,7,2,8,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[4,5,1,7,2,8,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,5,7,8,1,2,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[4,1,6,2,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,6,7,2,3,8,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[4,6,7,1,2,3,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[4,6,1,2,7,8,3,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[4,6,1,7,2,8,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,6,7,1,2,8,3,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[4,1,6,7,8,2,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[4,6,1,7,8,2,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,6,7,8,1,2,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>5
[4,1,2,3,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[4,1,2,3,6,7,8,5]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>5
[4,1,2,3,7,5,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[4,1,2,3,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[4,1,2,3,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>6
[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[4,1,2,3,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[4,1,2,3,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>7
[5,1,6,2,7,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,6,1,2,7,3,8,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[5,1,6,7,2,3,8,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[5,6,1,7,2,3,8,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,6,7,1,2,3,8,4]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[5,6,1,2,7,8,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[5,1,6,7,2,8,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[5,6,7,1,2,8,3,4]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[5,1,6,7,8,2,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[5,6,1,7,8,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,6,7,1,8,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[5,1,2,3,6,4,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[5,1,2,3,6,7,8,4]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>5
[5,1,2,3,4,7,8,6]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>6
[5,1,2,3,8,4,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[5,1,2,3,4,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[5,1,2,3,4,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>7
[6,1,2,3,7,4,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[6,1,2,3,4,7,5,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[6,1,2,3,4,7,8,5]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>6
[6,1,2,3,8,4,5,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[6,1,2,3,4,8,5,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[6,1,2,3,4,5,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>7
[7,1,2,3,8,4,5,6]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[7,1,2,3,4,8,5,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[7,1,2,3,4,5,8,6]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>7
[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,3,2,5,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[7,4,5,2,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,6,2,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,6,5,1,3,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[5,7,4,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[4,8,5,1,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[3,8,1,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,4,7,2,1,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,4,6,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[7,3,2,6,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,6,1,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[5,7,8,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,7,1,8,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,1,7,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[2,1,4,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[9,10,8,7,6,5,4,3,1,2]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>9
[3,2,5,7,1,4,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,2,5,7,1,3,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,2,4,7,1,3,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,2,6,7,1,3,5,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,3,6,7,1,2,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,2,5,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[3,2,5,8,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,2,5,8,1,3,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,3,5,8,1,2,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,2,4,8,1,3,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[3,2,6,8,1,4,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,2,6,8,1,3,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,2,6,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,2,4,8,1,3,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,3,4,8,1,2,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,2,5,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,3,5,8,1,2,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,4,5,8,1,2,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[3,2,7,8,1,4,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,3,7,8,1,2,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,4,7,8,1,2,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,2,7,8,1,3,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,3,7,8,1,2,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,4,7,8,1,2,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[7,2,4,8,1,3,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[7,3,4,8,1,2,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[7,3,5,8,1,2,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[7,4,5,8,1,2,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[7,4,6,8,1,2,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,3,4,6,1,2,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,3,5,6,1,2,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,2,4,7,1,3,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,2,5,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,3,5,7,1,2,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,2,6,7,1,3,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,4,6,7,1,2,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[4,3,2,6,8,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,3,2,6,8,1,4,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,4,2,6,8,1,3,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,4,3,6,8,1,2,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,3,2,5,8,1,4,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,4,3,5,8,1,2,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,5,2,4,8,1,3,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[4,3,2,7,8,1,5,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,3,2,7,8,1,4,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,4,2,7,8,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,4,3,7,8,1,2,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,4,2,7,8,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,4,3,7,8,1,2,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,4,2,5,8,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,4,3,5,8,1,2,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,5,2,6,8,1,3,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,5,3,6,8,1,2,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,6,2,4,8,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,3,2,5,7,1,4,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,4,2,5,7,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,5,2,4,7,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,3,2,6,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,5,2,6,7,1,3,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,5,3,6,7,1,2,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,6,2,4,7,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,6,2,5,7,1,3,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,6,3,5,7,1,2,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,7,2,4,6,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,7,3,4,6,1,2,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,7,2,5,6,1,3,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[4,3,7,2,6,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,7,2,6,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,3,7,2,5,1,4,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,4,7,2,5,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,4,7,3,5,1,2,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,3,8,2,6,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,3,8,2,6,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,8,2,6,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,8,3,6,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,3,8,2,5,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,4,8,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,4,8,3,5,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,5,8,2,4,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,5,8,3,4,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,3,8,2,7,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,3,8,2,7,1,4,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,8,2,7,1,3,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,8,3,7,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,3,8,2,7,1,4,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,4,8,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,3,8,2,5,1,4,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,4,8,3,5,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,5,8,2,4,1,3,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,5,8,2,6,1,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,5,8,4,6,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,6,8,2,5,1,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,6,8,3,5,1,2,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,6,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,5,6,2,4,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,7,3,5,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,5,7,2,4,1,3,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,3,7,2,6,1,4,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,7,2,6,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,7,3,6,1,2,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,5,7,2,6,1,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,6,7,2,4,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,6,7,2,5,1,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,6,7,3,5,1,2,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,8,3,7,2,6,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,3,7,2,6,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,4,7,2,6,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,4,7,3,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,3,7,2,5,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,4,7,2,5,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,4,7,3,5,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,5,7,2,4,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,3,6,2,5,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,4,6,2,5,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,4,6,3,5,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,5,6,2,4,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,5,4,3,2,8,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[7,6,5,4,2,8,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,5,4,3,2,7,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,4,3,2,6,1,5]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,5,3,2,6,1,4]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,5,4,2,6,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,6,3,2,5,1,4]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,6,4,2,5,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,7,6,5,2,4,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>7
[8,1,2,3,4,7,5,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[8,1,2,3,6,4,5,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[8,1,2,3,7,4,5,6]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[3,1,7,2,6,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,8,2,6,7,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[5,1,4,2,7,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,4,2,6,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,5,2,6,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,4,2,6,8,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[8,1,4,2,6,7,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[8,1,5,2,6,7,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,1,4,8,2,7,5,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,1,4,5,2,3,8,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[7,1,4,6,2,3,8,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[6,1,4,5,2,8,3,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,1,4,5,2,7,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,1,4,6,2,7,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,1,4,7,6,2,8,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[8,1,4,5,6,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[8,1,4,5,7,2,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[2,7,1,3,6,4,8,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,8,1,3,6,7,4,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,4,1,8,3,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,7,1,5,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,7,1,6,3,4,8,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,6,1,5,3,8,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,8,1,5,3,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,4,1,7,6,3,8,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,8,1,5,6,3,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,8,1,5,7,3,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,4,1,8,6,7,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,7,1,2,6,3,8,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[5,8,1,2,6,7,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[6,7,1,5,2,3,8,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,8,1,5,2,7,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,1,5,6,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,3,8,1,4,7,5,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,3,8,1,6,4,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,3,8,1,7,4,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,3,7,1,6,4,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,3,5,1,8,7,4,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,6,8,1,3,7,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,5,4,1,7,3,8,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,7,4,1,6,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,7,8,1,6,3,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,7,5,1,6,3,8,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,5,4,1,6,8,3,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,5,4,1,8,7,3,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,8,4,1,6,7,3,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,8,5,1,6,7,3,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[6,3,4,1,2,8,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,3,4,1,2,7,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,3,5,1,2,8,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,3,5,1,2,7,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,3,8,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,3,4,1,8,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,4,1,6,2,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,4,1,7,2,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,5,1,6,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,5,1,7,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,3,8,1,6,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,5,4,1,6,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,5,4,1,6,7,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,3,7,5,1,4,8,6]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,3,7,6,1,4,8,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,6,4,5,1,8,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,4,5,1,7,3,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,4,6,1,7,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,6,4,5,1,7,8,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[7,3,4,5,1,2,8,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,3,4,6,1,2,8,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,6,4,5,1,2,8,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,6,4,5,1,7,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,3,4,5,1,7,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[8,1,2,3,4,5,6,9,7]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>8
[7,1,2,3,4,5,9,6,8]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[9,1,2,3,4,5,8,6,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[7,1,2,3,4,5,8,9,6]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>7
[8,3,9,6,1,7,2,4,5]=>[[[.,.],[[.,.],.]],[[.,.],[.,[.,.]]]]=>6
[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>2
[3,5,2,7,4,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,5,1,6,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,5,6,1,3,2,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,5,1,7,4,8,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[3,6,1,7,8,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,6,1,7,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[4,6,7,1,8,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,6,2,7,8,4,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[3,6,2,7,8,5,1,4]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[4,5,7,1,2,8,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[3,5,1,7,2,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[2,1,5,7,3,8,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[4,6,7,1,8,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[4,6,7,1,8,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,6,1,7,8,5,2,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[6,5,8,7,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[2,5,4,7,6,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[5,4,3,8,7,6,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[6,4,8,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,2,5,6,1,8,7,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,8,1,3,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,2,3,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,3,8,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[7,8,3,2,1,6,5,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[7,8,4,2,6,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,4,2,8,7,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,5,3,7,1,6,8,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,6,7,3,1,5,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[7,8,5,6,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,4,8,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,4,5,1,2,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[7,4,5,1,2,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,6,1,5,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,8,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,8,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,7,1,6,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,4,7,1,2,8,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,4,7,1,8,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,4,6,1,8,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,4,7,1,6,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,4,8,1,6,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,4,8,1,2,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,5,8,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,5,1,8,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,5,8,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[4,6,8,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,7,8,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,4,7,3,8,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,7,3,5,8,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,7,2,5,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,2,7,6,1,8,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,4,3,7,6,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,4,3,7,8,6,1,2]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[6,4,8,3,5,7,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,4,3,8,6,7,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,4,2,6,7,1,8,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,4,2,6,7,1,3,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,3,2,6,1,7,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,2,6,1,8,7,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,4,2,6,8,1,7,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,4,2,8,6,1,7,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,4,8,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,8,4,2,5,1,6,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,8,4,2,5,1,3,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[5,3,2,6,1,8,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,3,2,1,6,8,5,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[5,3,2,8,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,3,8,2,1,5,4,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,8,3,2,1,5,4,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[5,4,2,7,8,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,3,2,7,1,8,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,3,2,7,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,3,7,2,1,5,4,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,3,7,2,1,8,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,4,7,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,7,8,2,1,4,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,3,7,2,1,8,4,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,3,7,2,1,4,8,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[5,3,2,7,1,4,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,8,4,2,6,1,3,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,8,3,2,1,6,4,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,3,8,2,1,7,4,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[5,3,2,8,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,3,2,1,7,5,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,3,2,1,8,5,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,3,2,8,1,4,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,3,8,2,1,4,7,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,8,3,2,1,4,6,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[7,8,1,3,2,6,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[2,6,8,1,3,7,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[2,4,1,3,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[5,1,3,8,2,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[1,5,3,8,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[4,5,1,8,7,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,6,8,1,2,7,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[4,1,3,2,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,3,2,6,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,3,2,5,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,3,2,5,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,3,2,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,4,2,5,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,4,2,5,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,4,2,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,4,2,6,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,6,3,5,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,6,2,5,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,6,2,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,7,2,5,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,7,2,5,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,7,3,5,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,8,3,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,8,2,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,8,2,5,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,8,2,6,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,8,2,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,8,2,6,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,8,3,6,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,7,3,6,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,7,2,6,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,7,2,6,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,5,2,6,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,5,2,7,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,4,2,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,4,2,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,3,2,6,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,3,2,6,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,3,2,7,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,3,2,7,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,3,2,7,5,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,4,2,8,5,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,3,2,8,5,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,3,2,8,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,3,2,8,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,4,2,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,4,2,8,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,5,2,8,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,5,2,8,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,5,3,8,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,6,3,8,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,6,2,8,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,6,2,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,6,2,8,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,5,2,8,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,3,7,2,6,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,3,8,2,6,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,3,6,2,8,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,3,6,2,4,8,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,7,3,8,2,4,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,4,2,5,8,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[7,4,2,5,8,3,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[4,5,2,6,3,8,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,5,1,6,3,8,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,4,5,3,1,8,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,5,8,2,4,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,3,5,8,1,4,6,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[4,5,1,7,8,3,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[6,7,4,3,8,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,7,4,8,3,1,5,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[5,6,1,7,3,8,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[6,7,2,8,4,5,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,1,7,4,8,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,6,1,7,3,2,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,7,1,5,2,8,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,4,2,5,1,8,3,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,7,4,2,1,8,3,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,7,4,2,8,3,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[5,7,3,8,2,1,4,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[5,7,3,8,2,6,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,4,7,8,2,1,5,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[5,6,1,7,2,8,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,1,6,7,2,8,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[3,6,7,1,8,5,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,3,2,5,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,2,7,4,1,8,6]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,2,5,1,3,6,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,5,6,2,1,4,3,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,5,3,7,2,1,8,6]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[4,3,6,7,2,8,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,3,4,7,1,2,8,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,5,3,8,4,1,6,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,4,5,8,3,6,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,6,1,7,8,3,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[5,2,7,1,3,8,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,6,2,7,4,8,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[1,7,3,4,2,5,8,6]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[7,8,4,2,1,3,6,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[7,8,3,4,2,1,6,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,3,2,7,1,8,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,5,8,2,1,6,3,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,6,1,7,8,5,2,3]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,6,7,1,3,8,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[4,6,2,7,3,5,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,1,6,2,4,8,7,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[7,6,8,1,3,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,5,7,3,1,4,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,4,3,7,1,5,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,4,3,1,8,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,7,1,2,8,3,6,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[6,7,1,8,2,3,5,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,8,1,7,2,5,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,1,8,2,7,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[7,1,8,6,5,2,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[6,1,5,2,4,8,7,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[4,7,1,2,8,3,6,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,7,2,8,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,1,8,2,7,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,8,1,2,7,3,6,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[5,8,1,2,7,3,6,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[6,8,1,7,2,3,5,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[7,8,1,6,2,3,5,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,3,5,2,7,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,3,6,2,7,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[4,3,6,2,7,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,3,6,2,7,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,3,6,2,7,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,4,6,2,7,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,4,6,2,7,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[3,1,6,5,7,4,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[4,1,6,5,7,3,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[5,1,6,4,7,3,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[5,4,6,3,7,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,3,5,2,1,6,4,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,6,3,5,1,4,2,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[8,5,7,4,3,2,6,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>6
[5,4,7,3,1,8,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[1,7,4,5,3,2,8,6]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[3,7,5,1,4,2,8,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,7,4,2,1,3,8,6]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[4,8,1,6,7,3,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,6,4,1,8,7,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[2,7,6,8,1,4,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,7,1,6,4,8,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,7,2,6,4,8,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,3,7,2,1,8,4,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,7,3,2,1,5,8,6]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[8,7,6,1,3,4,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,3,6,7,2,1,5,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,7,6,3,5,2,4,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,5,3,7,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,7,2,1,3,6,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[8,2,6,7,1,3,5,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,6,1,8,7,2,5,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[1,7,4,8,2,6,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[3,7,8,1,6,5,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,7,2,4,5,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,6,3,2,1,4,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[5,4,3,6,1,2,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,5,7,4,1,6,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,5,3,8,4,1,7,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,3,8,4,2,6,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[8,1,2,3,5,6,7,4]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>5
[7,8,2,4,3,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,3,2,4,1,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[2,1,7,8,5,4,3,6]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[7,1,8,4,5,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[2,7,8,4,5,3,1,6]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[4,8,3,6,2,1,7,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[8,6,3,1,4,2,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[2,4,3,1,8,5,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[4,1,3,2,6,8,7,5]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[8,6,3,5,1,2,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,8,3,2,6,1,7,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[2,1,7,6,5,8,3,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,8,3,5,2,1,7,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,4,3,5,8,1,7,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[3,7,8,4,1,6,2,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,6,2,5,4,8,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,4,2,1,6,8,3,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[4,6,1,5,3,8,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,6,4,3,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,3,6,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[4,3,7,6,2,1,8,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[6,4,3,1,7,2,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[1,4,7,5,8,3,2,6]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>3
[6,4,3,8,1,7,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,5,3,1,8,6,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[5,7,1,6,3,2,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[6,1,7,5,3,2,8,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[7,6,5,3,2,1,8,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[6,5,2,1,7,3,8,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[2,4,8,6,3,7,5,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>2
[7,3,6,2,4,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,3,7,8,2,1,5,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[8,3,6,2,7,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,8,3,6,2,1,5,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[4,2,6,8,1,7,5,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[5,4,8,2,7,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[3,6,8,1,7,5,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,1,6,8,2,7,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[6,5,2,8,1,7,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,6,2,1,8,5,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[6,1,7,2,8,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[4,7,1,8,6,2,5,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,7,4,6,1,5,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,8,1,7,5,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[7,1,8,6,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>3
[6,4,2,7,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,4,2,6,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,7,2,6,3,5,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,5,2,3,1,4,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[1,8,6,7,2,3,4,5]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,7,6,8,2,3,4,5]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[6,5,8,2,3,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,2,3,8,1,6,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,4,2,3,1,8,6,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,2,6,1,4,8,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,2,7,1,8,4,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,2,8,1,7,4,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,3,5,6,1,2,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,5,2,7,1,8,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,6,1,5,4,3,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[6,4,3,5,1,2,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[3,1,4,6,5,2,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[8,1,4,7,2,6,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,6,3,5,1,7,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,5,4,8,1,6,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[6,5,8,4,1,7,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[8,5,3,7,4,1,6,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,1,4,8,3,7,6,5]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[3,1,8,2,7,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[4,3,8,7,2,1,6,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,3,5,8,2,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[2,3,4,1,8,5,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[8,3,5,6,2,7,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[2,1,8,6,5,7,3,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,7,3,5,2,1,8,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[2,7,4,1,6,5,8,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[8,5,2,4,6,1,7,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,1,5,3,6,8,7,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[6,5,2,1,4,3,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,5,2,7,4,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,3,7,5,2,1,6,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[6,3,7,5,2,8,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[3,1,6,5,4,2,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[5,6,3,2,4,1,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[2,6,1,3,5,4,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[8,7,2,3,4,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,6,3,7,4,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,1,8,7,4,3,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,8,4,1,6,3,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,1,5,3,8,7,6,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[7,5,2,4,8,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,4,1,8,7,6,5,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[7,1,6,5,4,8,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,6,2,5,1,7,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,5,2,6,3,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,7,8,6,3,4,1,2]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[2,7,8,4,5,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[5,7,3,8,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[3,4,8,1,7,2,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,3,8,2,5,1,7,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[2,1,4,8,3,5,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[6,8,2,4,3,5,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,8,4,1,6,5,3,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,8,4,1,6,5,7,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[7,5,8,2,4,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,2,8,3,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,5,8,2,1,3,7,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[6,5,2,7,3,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,5,2,8,3,7,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[6,5,8,2,4,3,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,5,8,2,4,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[7,5,2,8,3,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,5,2,8,3,7,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,5,2,7,3,4,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,1,6,7,4,3,2,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[7,1,6,8,4,3,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[3,1,4,8,6,2,7,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,1,6,5,8,3,2,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[4,1,6,5,7,3,2,8]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[4,5,2,6,3,7,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,5,2,7,3,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,1,6,5,8,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[7,5,2,6,3,8,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[4,1,2,3,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>6
[7,8,4,2,1,5,3,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,3,8,1,7,2,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,8,1,6,5,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[5,3,6,2,7,4,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,2,1,5,3,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[6,4,3,7,5,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,4,7,1,5,3,6,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,6,1,4,7,3,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[1,6,5,8,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[5,7,1,4,2,3,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,3,7,8,2,1,6,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,4,2,7,1,3,8,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,4,2,5,1,3,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,5,3,6,1,7,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,3,6,2,4,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,3,6,7,1,2,8,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,7,1,5,2,3,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[6,4,7,5,2,8,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,4,8,5,2,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,8,2,6,3,7,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,4,6,7,2,8,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,3,7,2,4,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,4,7,3,8,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,4,6,3,8,1,2,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,6,3,7,1,2,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,5,3,7,1,8,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>2
[5,4,8,6,2,7,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,8,3,5,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,8,1,5,7,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[6,3,7,1,2,8,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[7,2,6,1,8,3,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,4,6,3,8,7,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,3,8,1,7,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,6,8,2,3,5,1,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,7,3,8,2,5,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,4,7,8,2,6,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,8,6,2,5,1,3,4]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[6,5,4,1,7,8,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,5,3,1,7,2,8,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[6,5,3,1,8,2,7,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,5,8,3,1,2,6,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,5,8,4,1,6,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,5,4,8,1,7,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,5,3,8,1,2,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,5,3,7,1,2,8,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,5,4,7,1,8,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,5,2,1,8,7,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[3,4,7,1,8,2,6,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[4,6,3,7,2,5,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,8,4,3,1,2,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[5,6,8,4,2,1,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[6,7,8,1,5,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,7,8,1,5,2,4,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,7,8,1,5,3,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,2,7,8,1,6,5,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[6,7,8,1,5,4,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,7,2,8,1,5,6,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[3,2,7,8,1,5,6,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[4,7,3,8,1,5,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[4,6,3,8,2,1,7,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[4,5,3,2,8,1,7,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[4,5,3,2,8,1,6,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,6,3,8,2,1,5,7]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[5,6,8,3,2,1,4,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[6,7,8,1,4,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,7,8,1,4,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,7,8,1,2,5,3,4]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[6,7,8,1,2,5,4,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[6,7,8,1,3,2,5,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,2,7,8,1,4,6,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,7,8,1,3,2,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,7,8,1,2,4,3,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[6,7,8,1,2,3,5,4]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[6,3,7,5,2,1,8,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[3,6,1,7,5,2,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,6,5,7,1,4,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[6,5,2,7,4,1,8,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,6,1,8,7,2,4,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[1,6,5,7,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,6,1,5,8,4,7,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[5,7,1,6,3,8,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[5,1,4,7,2,8,6,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[2,5,4,6,1,7,8,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[7,3,4,1,2,6,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[1,8,4,5,2,3,7,6]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[7,3,5,1,6,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,3,8,1,5,4,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,4,8,5,1,3,7,6]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,7,8,5,6,3,4,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[2,6,8,5,7,3,1,4]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[4,6,7,5,8,3,1,2]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[6,4,5,7,1,2,8,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,6,4,7,2,8,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[1,8,4,6,2,7,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[4,6,3,2,8,7,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[1,8,4,7,2,6,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[2,1,4,3,6,5,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,8,4,3,1,7,5,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,7,5,3,1,8,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[2,5,3,1,7,6,8,4]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[4,7,1,6,5,8,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,8,2,6,5,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,7,1,5,8,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,7,6,1,5,8,3,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,6,2,1,5,8,3,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[7,6,2,5,8,3,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,5,2,6,8,4,1,3]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,4,2,6,7,5,1,3]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[3,7,8,5,6,2,1,4]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[3,7,8,4,2,6,1,5]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[3,6,2,8,4,5,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,2,4,1,3,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,2,5,1,7,3,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,3,6,7,2,1,8,5]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[4,7,1,8,6,5,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[4,7,1,2,8,6,5,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[4,6,8,1,2,7,5,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[6,8,7,1,5,3,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[7,8,1,6,3,5,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[8,5,7,1,6,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,5,7,1,2,6,3,4]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,2,4,8,1,7,5,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,5,7,2,1,6,3,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,5,7,2,3,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,8,4,2,7,1,6,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,5,2,7,3,1,6,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,8,4,7,2,1,6,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,8,1,7,3,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,5,7,3,1,6,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,5,7,3,1,2,6,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[4,8,5,7,1,6,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,8,5,1,7,2,6,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[8,5,3,1,7,2,6,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,5,3,7,1,2,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,5,2,3,7,1,6,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,3,2,5,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,5,4,1,3,2,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,7,4,1,6,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,3,2,5,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,4,1,3,7,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,7,4,1,6,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,7,6,5,2,1,4,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[8,7,4,3,6,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[8,3,2,7,6,4,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,7,4,3,6,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,7,6,5,2,4,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>6
[8,3,2,5,4,7,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,1,8,5,4,7,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,3,2,7,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,7,6,5,3,1,4,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[8,7,6,5,4,1,3,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[8,3,2,7,6,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,1,8,7,6,3,5,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[7,4,3,1,8,6,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,6,5,1,8,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,6,4,1,8,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[6,4,2,1,8,7,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[5,3,2,1,8,7,6,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,1,3,4,8,2,5,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[7,1,5,6,8,2,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[7,1,4,6,8,2,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[7,1,3,5,8,2,4,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[7,4,5,2,3,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,3,5,2,4,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,3,5,2,4,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[3,1,8,6,7,4,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[4,1,8,6,7,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,6,7,3,4,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,7,3,4,1,6,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,6,2,7,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,4,7,3,5,1,6,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,1,8,4,7,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[4,1,8,5,7,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[3,1,8,5,7,4,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[2,1,8,5,7,4,6,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[7,3,6,2,5,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,4,6,2,3,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,6,2,3,1,7,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,6,2,4,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,4,6,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,3,6,2,8,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[7,8,5,6,1,3,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[3,6,1,4,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,6,1,2,5,7,3,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[7,8,4,5,3,1,6,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[5,7,3,6,1,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,3,6,7,2,1,8,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[4,3,7,8,1,2,6,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,7,8,6,1,3,4,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[6,7,1,5,2,8,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,7,5,3,8,4,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,4,6,1,2,5,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[7,4,6,3,1,5,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[3,5,7,4,1,6,2,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[6,4,8,3,1,7,2,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,4,8,1,2,7,3,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,8,5,3,1,2,7,4]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[3,5,7,1,2,8,6,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[4,2,6,1,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,2,5,6,1,8,7,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[3,7,1,2,5,4,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,7,4,1,5,8,6,3]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[5,2,8,1,3,7,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,1,6,8,3,4,7,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,6,8,3,1,5,7,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[3,6,4,8,5,1,7,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[5,7,4,6,2,8,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[2,4,8,1,7,3,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[5,8,4,7,3,1,6,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,3,8,2,7,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,3,8,1,2,6,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,8,5,3,1,7,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[8,4,5,1,2,6,3,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[1,6,3,7,2,8,4,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[6,3,2,7,8,5,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,1,3,4,6,2,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[5,4,8,7,2,6,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[2,8,4,7,1,5,3,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,1,4,6,2,5,3,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[1,8,4,7,2,5,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,8,3,1,7,5,4,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,3,8,1,7,6,4,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,4,1,8,7,6,5,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[8,4,2,6,1,5,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,8,2,7,6,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[8,5,6,1,2,4,3,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,8,1,2,7,5,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[4,8,1,7,2,5,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,1,6,2,5,8,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,5,1,8,2,4,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[7,1,3,5,2,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,2,5,1,8,3,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,3,7,1,8,2,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,1,8,7,6,2,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[5,7,8,6,2,4,1,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[5,7,1,6,2,4,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,3,5,7,2,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,3,5,8,2,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,3,5,7,2,1,8,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,4,5,7,3,6,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,4,8,6,3,1,7,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[5,8,1,6,2,4,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,3,5,8,2,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[2,3,4,1,8,6,5,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,3,5,6,2,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[2,3,8,5,1,4,7,6]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[8,3,5,7,2,1,6,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[7,4,5,6,3,1,8,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,4,5,6,3,1,7,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[7,3,5,6,2,8,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,3,5,8,2,1,6,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[7,3,5,6,2,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[8,7,5,6,1,4,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,6,4,1,8,5,7,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[7,3,5,1,2,8,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[7,8,1,6,3,4,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[8,3,5,7,2,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[2,3,4,1,8,7,5,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,3,8,1,6,4,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,3,8,1,4,5,7,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[2,1,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[9,1,2,3,4,5,6,7,10,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>9
[7,1,2,3,4,5,6,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>8
[2,1,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>11
[8,4,3,6,5,1,7,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,5,6,3,4,1,7,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,6,5,4,3,1,7,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[8,1,7,2,6,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,8,2,4,7,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,1,3,8,2,7,5,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,8,7,1,3,5,4,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[8,7,6,1,5,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,5,7,3,1,6,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[1,5,4,8,2,7,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[8,4,3,7,1,6,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,6,1,3,4,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,2,6,1,5,4,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,2,7,1,4,6,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,7,1,3,2,6,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,7,1,2,4,5,3,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[6,8,1,2,4,3,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[5,8,1,3,2,4,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,2,3,5,4,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[7,1,2,3,4,6,5,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[8,1,2,3,4,5,7,6]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>7
[2,8,3,1,5,7,4,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[5,3,7,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,1,7,8,2,3,6,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[4,1,3,7,5,8,6,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[5,6,1,3,2,8,7,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,6,3,2,1,8,7,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[5,7,3,2,8,1,6,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,7,3,2,8,6,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[6,7,3,8,2,1,5,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[1,5,7,4,8,3,6,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[6,7,1,8,3,5,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,7,1,8,3,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[6,7,2,8,3,5,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,2,7,8,1,4,5,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,2,7,8,1,5,4,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[5,1,7,2,8,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[6,1,7,8,2,5,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[6,7,1,8,2,5,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,7,8,5,4,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,7,1,8,5,3,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,3,8,5,2,7,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[6,3,8,4,2,7,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,3,7,5,2,8,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,5,2,7,4,8,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,7,1,4,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,8,3,5,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,3,7,4,2,8,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[3,8,6,7,1,4,5,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[5,6,1,8,7,3,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[8,6,5,4,2,7,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>6
[7,8,1,6,3,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,1,7,6,8,3,2,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,4,3,1,6,8,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,1,8,7,5,6,3,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,1,7,6,5,2,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[1,8,6,7,4,5,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,8,5,7,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[7,8,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,3,7,4,5,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,8,3,7,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,7,3,8,5,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,7,2,8,5,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,7,1,8,5,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,7,1,8,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,7,2,8,5,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,8,2,7,4,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,2,7,4,5,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,8,2,6,4,5,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,8,1,6,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,8,1,7,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,8,1,7,4,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,8,5,6,1,7,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[1,8,5,6,2,7,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[4,8,1,7,3,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,8,1,7,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,8,1,7,3,5,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,2,6,3,5,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,2,7,3,5,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,8,2,7,3,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,8,2,7,3,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,7,2,8,4,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,7,1,8,4,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[1,8,4,7,3,6,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,8,5,7,3,6,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,8,6,7,3,5,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[5,8,6,7,1,4,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,8,6,7,1,5,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,8,6,7,1,5,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,5,1,8,6,7,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,6,1,8,5,7,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,8,5,7,1,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,8,4,7,1,6,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,6,1,8,4,7,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,7,1,6,2,8,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,8,1,6,2,7,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,8,1,6,2,7,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,1,5,2,6,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[1,7,3,6,2,8,4,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,7,3,6,1,8,4,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,7,4,8,3,5,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,4,5,2,8,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,4,6,2,3,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,4,6,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,4,8,3,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,4,5,3,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,4,6,3,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,4,8,3,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,3,7,2,4,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,3,7,2,8,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,3,8,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,4,8,2,7,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,4,6,2,7,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,4,5,2,7,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,4,5,2,6,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,4,5,2,3,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,4,6,2,3,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,4,8,2,3,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,3,8,2,4,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,3,4,2,8,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,6,3,5,2,7,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,6,3,5,2,8,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,6,3,8,2,5,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,8,3,6,2,5,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,3,6,2,4,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,3,5,2,4,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,3,5,2,4,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,3,5,2,6,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,3,6,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,8,3,6,2,7,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,6,3,8,2,7,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,6,3,7,2,8,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,7,3,6,2,5,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,7,3,6,2,8,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,7,3,8,2,6,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,4,8,2,6,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,3,6,2,8,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,3,6,2,4,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,3,5,2,4,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,3,5,2,8,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,4,8,2,5,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,5,8,2,4,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,5,7,2,3,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,4,8,2,3,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,3,8,2,4,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,7,3,4,2,8,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,3,4,2,6,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,3,4,2,8,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,7,4,8,2,3,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,4,7,2,3,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,4,7,2,3,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,4,6,2,3,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,3,6,2,4,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,3,7,2,4,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,3,7,2,4,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,8,3,7,2,5,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,7,3,8,2,5,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,7,3,5,2,8,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,7,3,5,2,6,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,5,3,7,2,6,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,5,3,7,2,8,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,5,3,8,2,7,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,8,3,5,2,7,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,3,4,2,7,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,3,4,2,7,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[7,8,3,4,2,6,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[6,8,3,4,2,5,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,8,3,4,2,6,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,8,3,5,2,6,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,5,3,8,2,6,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[4,5,3,6,2,8,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>5
[5,6,4,2,3,1,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,4,5,3,1,2,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[4,6,8,1,7,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,4,5,3,1,7,6,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,3,2,8,7,4,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[5,7,8,6,2,3,1,4]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[5,8,7,6,3,2,1,4]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>5
[3,6,1,8,7,4,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[3,8,1,6,7,5,2,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[6,7,4,2,8,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,8,4,2,7,5,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[2,1,8,6,7,5,3,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,3,2,6,7,5,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[6,7,5,8,1,3,4,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,6,5,8,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,3,2,6,8,1,5,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,5,7,8,1,2,4,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[8,1,3,7,4,6,5,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[8,1,3,5,4,7,6,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[6,1,5,4,3,8,7,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[6,3,2,7,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,4,7,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,5,2,1,4,3,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,8,2,6,1,5,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,7,2,6,3,4,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,8,1,6,3,2,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,1,8,6,4,2,7,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[8,1,6,7,4,3,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[2,5,8,3,1,7,4,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,8,1,3,6,4,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[8,2,5,1,7,3,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,7,2,3,1,6,8,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[1,6,3,8,2,4,7,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[5,3,8,1,2,7,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,3,6,1,2,8,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,2,3,4,1,7,8,5]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,1,4,8,2,7,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[5,1,4,7,2,8,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[1,7,4,5,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[4,1,5,8,2,7,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[5,1,4,2,7,8,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[5,3,7,1,8,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,1,7,8,2,6,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,1,7,8,3,4,6,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>11
[4,7,8,5,6,2,1,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[4,7,8,3,2,1,5,6]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[5,7,8,3,2,1,4,6]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[4,7,3,5,2,1,6,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[4,3,6,2,5,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,6,3,2,5,1,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,6,7,1,3,2,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,5,1,3,7,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,5,1,4,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,3,6,1,5,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,3,6,1,7,2,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,3,4,1,2,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,2,6,1,4,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,5,2,7,4,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,3,2,1,5,7,4,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[4,2,6,1,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,3,5,1,2,7,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,4,5,1,7,2,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,5,3,1,4,7,2,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,3,1,8,5,4,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,4,5,1,2,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[3,4,5,1,8,2,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[1,8,4,6,3,7,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[2,3,1,8,6,7,4,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,5,1,6,7,4,8,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[2,5,1,6,7,4,3,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[3,5,6,1,7,4,2,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,8,2,4,3,7,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,7,1,5,8,2,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,3,2,4,6,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,3,2,4,6,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[3,2,5,1,7,4,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,2,5,1,8,4,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,2,5,6,1,7,8,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,7,6,1,8,3,4,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[5,8,6,1,7,3,4,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[3,2,5,1,6,4,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,8,6,5,1,7,4,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,7,6,5,1,8,4,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,2,4,1,8,5,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,2,4,1,7,5,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,2,4,1,5,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,8,5,1,7,6,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[3,7,5,1,8,6,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[6,5,7,3,1,8,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[2,5,7,4,1,6,3,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,5,7,4,1,6,8,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[5,4,7,3,6,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,7,8,3,1,6,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,4,3,8,5,1,7,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,8,4,3,6,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,4,8,3,6,1,7,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,3,6,7,1,8,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,5,4,6,1,7,3,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,2,5,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[2,4,1,7,5,8,6,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,4,1,7,5,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,6,4,1,8,5,3,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,4,8,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[2,5,8,4,1,6,3,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[4,8,3,2,6,1,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[3,8,2,5,1,6,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[4,3,8,2,6,7,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,3,2,6,7,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[4,3,7,2,6,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,3,7,8,2,6,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[3,2,5,7,1,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,3,2,7,1,5,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,3,2,7,8,1,5,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,3,2,7,1,4,8,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,8,4,2,1,7,3,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[2,4,1,7,3,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,8,3,7,2,1,5,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[4,3,7,2,8,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,8,3,2,7,1,5,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[6,3,2,8,1,4,7,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>2
[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>2
[10,9,8,7,6,5,4,3,2,1,11]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>11
[1,11,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>2
[8,4,5,2,3,1,7,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,6,7,2,5,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,1,5,2,4,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,3,5,2,4,1,7,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,3,7,2,4,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,6,7,4,5,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,6,7,3,5,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,7,3,6,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,1,7,5,6,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,3,7,2,6,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,1,7,2,4,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,3,2,7,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,1,8,3,7,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,5,2,4,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,4,7,2,3,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,6,7,2,3,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,5,7,2,6,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,6,7,2,5,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,4,7,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,4,7,2,6,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,7,4,6,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,1,7,4,6,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,4,7,3,6,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[2,8,4,6,1,5,7,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[5,2,7,8,1,4,6,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,4,8,5,2,3,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,3,5,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[3,7,5,8,1,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[4,6,8,5,1,3,2,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[5,6,8,1,4,3,2,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,8,4,1,5,6,3,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[4,6,8,1,5,3,2,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,7,3,8,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[7,1,3,8,4,6,5,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[2,8,7,4,1,6,5,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[6,4,8,2,5,3,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,2,3,1,8,5,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,8,1,5,3,4,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,5,1,4,8,2,6,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,8,1,5,4,7,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,8,1,4,3,7,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[3,6,4,8,1,7,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,7,1,4,2,8,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,7,8,1,5,2,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,7,1,3,2,4,8,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,8,1,3,7,2,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,8,1,7,3,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,8,1,7,4,3,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,3,7,1,5,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,8,6,1,4,7,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,7,4,8,1,6,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,1,7,6,4,3,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[5,6,2,7,3,4,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,6,2,8,3,5,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,5,1,7,3,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,6,2,7,3,8,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,6,2,7,3,8,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,6,2,7,4,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,6,3,8,4,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,6,2,8,3,7,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,5,1,7,3,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>2
[4,6,3,5,2,1,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[8,7,2,4,5,3,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,1,7,4,3,6,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,7,3,5,1,4,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,8,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,7,2,4,1,6,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,8,3,6,2,1,7,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[2,5,7,3,6,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[1,5,7,3,6,8,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>2
[8,4,3,7,6,1,5,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,2,4,7,1,6,5,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[6,7,1,3,5,8,4,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[3,8,4,7,6,1,5,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[8,1,4,7,2,6,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[8,1,3,2,7,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[2,8,3,1,7,6,5,4]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[6,7,1,2,8,5,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[8,3,2,1,7,6,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,4,2,7,1,6,5,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,5,7,2,1,6,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,2,7,8,1,6,4,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,1,8,3,7,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[5,1,7,8,2,6,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[6,7,1,8,2,5,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,8,1,7,2,6,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[3,8,1,2,7,6,5,4]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[2,8,1,3,7,6,5,4]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[6,7,1,8,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,6,5,1,8,3,7,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,6,5,1,8,2,7,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[4,6,5,1,8,7,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[4,5,6,1,8,7,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,5,6,1,8,2,7,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,5,6,1,8,3,7,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,4,6,1,3,8,7,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[3,4,6,1,2,8,7,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[2,3,6,1,4,8,7,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[8,1,3,4,2,7,6,5]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[2,7,1,4,3,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[3,7,1,4,2,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,7,1,3,2,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,1,6,7,2,3,5,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[6,5,2,1,8,3,7,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,1,5,2,7,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,4,2,3,1,8,7,6]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,1,2,3,4,7,6,5]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>6
[2,4,6,1,5,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,4,1,6,5,8,3,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,4,1,6,5,8,7,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,4,1,6,8,5,7,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[2,4,1,6,8,5,3,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,4,6,1,8,5,3,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,4,6,3,1,8,5,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[2,4,3,1,6,8,5,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,4,6,1,8,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[4,6,2,8,5,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,4,2,8,7,5,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[2,6,4,1,8,7,5,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[6,4,2,8,7,5,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[1,6,4,7,3,8,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[6,8,1,3,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[6,7,1,3,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[6,4,2,1,5,8,3,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,5,3,4,1,8,6,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,3,5,2,1,8,6,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,4,2,5,1,6,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,3,2,1,5,6,4,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[4,2,7,8,1,3,6,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,2,6,8,1,3,7,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,2,6,7,1,3,8,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,8,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,6,3,5,4,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,1,6,2,8,7,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[4,8,1,5,2,3,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,8,1,6,4,3,2,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,1,5,7,4,3,2,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,8,1,7,4,3,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[5,6,1,7,4,3,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,1,7,8,4,3,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[7,8,1,6,5,3,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,8,3,5,4,1,7,6]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[7,8,1,4,6,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,1,5,8,4,3,2,6]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[5,8,7,1,4,3,2,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,4,7,5,1,3,8,6]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[7,8,5,4,1,3,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[3,5,6,4,1,8,2,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[9,10,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[4,3,6,2,8,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,2,4,5,1,3,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[1,6,7,4,8,3,5,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[2,4,6,1,7,5,3,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,4,6,2,7,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[2,5,4,1,6,7,3,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[5,6,3,2,7,1,4,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[5,6,3,2,7,1,8,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,4,6,2,8,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[2,4,1,7,8,5,3,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,5,4,1,6,3,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,6,3,2,1,8,4,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[5,3,8,2,1,6,4,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,3,2,8,5,1,6,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,6,4,3,2,1,7,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[7,6,4,3,2,1,8,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[5,4,7,2,1,8,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,7,3,2,1,6,4,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,3,7,2,5,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,3,7,2,8,1,4,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[3,2,6,1,7,4,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,3,5,2,1,8,4,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[5,3,8,2,1,4,7,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[8,3,5,2,1,4,7,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,8,6,5,4,3,2,1,9]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>8
[8,9,7,6,5,4,3,2,1,10]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>9
[7,6,8,5,4,3,2,1,9]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,7,1,6,2,8,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,7,1,6,2,8,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[2,7,6,5,1,8,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[2,3,6,5,1,4,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,3,6,4,1,5,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,3,6,1,5,4,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,7,6,1,4,8,5,3]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[2,7,6,1,4,8,3,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,7,6,4,1,8,5,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[6,3,5,1,8,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,7,1,6,3,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,1,6,2,5,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[1,8,6,7,2,5,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,8,5,7,2,6,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[5,8,1,7,2,6,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,8,6,7,1,5,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,5,7,1,6,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,1,7,5,6,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,8,1,7,4,6,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,8,4,7,1,6,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,8,1,7,2,6,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[1,8,4,7,2,6,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[4,8,1,7,5,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,8,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,8,1,7,4,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[1,8,3,7,2,6,4,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[3,8,1,7,2,6,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,8,2,7,4,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,8,2,7,5,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,8,2,7,5,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,8,3,7,5,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,8,3,7,1,6,4,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,1,7,3,6,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,5,2,8,6,4,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[7,3,8,6,2,5,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,4,3,8,1,2,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,4,2,8,1,3,7,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,8,1,4,2,6,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,5,3,1,4,2,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,5,6,1,2,8,7,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[3,5,7,1,8,6,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,2,5,6,1,3,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>6
[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,1,2,3,4,5,6,7,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[9,1,2,3,4,5,6,7,8,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[10,1,2,3,4,5,6,7,8,9,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>11
[5,6,4,3,8,7,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[4,6,8,5,3,7,1,2]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[7,8,1,4,2,6,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,1,7,8,2,4,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,1,8,6,3,4,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[2,6,4,1,7,5,8,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[7,6,5,8,1,4,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[1,6,4,3,7,2,8,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[7,8,2,4,6,3,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[7,8,4,6,3,1,2,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[6,7,5,8,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[1,7,5,8,2,6,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[7,6,5,8,1,2,4,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,1,7,6,8,4,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[7,2,5,8,1,6,4,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,5,6,2,4,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,2,6,3,7,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,1,6,5,7,3,2,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,8,1,6,3,7,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[1,8,5,6,3,7,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[5,7,6,1,4,2,8,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[4,7,6,1,5,2,8,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[1,7,6,4,5,2,8,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[3,8,1,6,5,7,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,5,4,1,6,2,3]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[8,3,2,6,5,7,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,4,6,2,5,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,7,3,6,8,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,3,6,2,5,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,8,3,2,5,1,4,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,8,1,2,5,6,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[4,1,6,2,5,7,3,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,1,8,6,4,7,3,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,5,7,1,4,2,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,6,8,1,3,2,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[7,5,6,8,1,4,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,4,7,1,6,5,3,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,6,1,7,4,8,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,6,1,5,7,4,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[3,1,7,5,6,4,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[6,1,7,5,3,8,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[3,8,4,1,7,2,6,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,7,4,1,8,5,2,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[6,7,1,4,8,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,7,1,8,4,5,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[8,4,2,1,7,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[6,4,3,1,5,8,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,1,8,7,4,6,3,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[2,6,1,4,3,5,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,6,1,4,3,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,8,1,4,3,6,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,8,1,4,6,3,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,6,1,4,8,3,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,2,6,1,8,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,2,4,1,8,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,2,6,1,4,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,2,8,1,3,6,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,4,8,1,3,6,5,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,4,1,8,3,6,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,4,8,3,6,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,4,8,1,6,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,6,8,1,4,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,3,5,2,8,1,7,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,3,7,2,6,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[4,3,8,2,6,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,1,7,6,8,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,3,5,2,6,1,7,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,3,5,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,5,7,2,4,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,5,8,2,4,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,6,8,2,4,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,7,2,6,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,4,8,2,6,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,7,4,8,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,1,7,4,8,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[5,4,6,3,8,1,7,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,8,1,5,7,3,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[7,6,4,1,3,8,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[1,7,5,6,3,2,8,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[2,7,1,8,3,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,7,3,5,8,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[8,7,2,6,3,5,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[7,8,1,6,4,2,5,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[1,8,6,7,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>2
[6,3,5,2,1,4,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[8,5,2,7,4,3,1,6]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,5,3,7,1,4,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,1,8,5,7,4,3,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[6,5,3,7,1,8,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,3,7,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[8,3,6,2,1,4,7,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[5,3,7,6,2,1,8,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[5,3,6,2,8,7,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,4,1,5,7,6,8,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[4,8,7,3,2,1,6,5]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[5,8,7,6,4,2,1,3]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>5
[5,8,7,6,4,3,1,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>5
[7,3,4,2,1,6,5,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,3,5,2,6,4,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,5,7,1,3,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,4,6,7,1,8,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[6,4,5,7,2,1,8,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,3,5,2,7,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,1,2,3,4,5,6,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[1,4,3,6,2,5,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,4,3,7,2,5,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,4,3,7,2,6,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,5,4,8,2,6,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,5,4,8,3,7,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[7,8,1,4,5,3,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,8,7,4,1,6,5,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[4,8,3,6,1,5,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,2,8,1,3,5,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,6,3,8,7,1,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[2,5,1,3,8,4,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,4,8,1,3,7,6,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[6,3,8,1,5,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,1,3,8,2,4,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[1,5,4,8,2,7,6,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[5,1,6,2,8,7,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[3,4,8,7,1,2,6,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[3,4,8,1,7,2,6,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[7,8,2,5,4,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,7,1,4,8,3,5,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,1,6,2,4,8,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,7,6,5,1,8,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[6,1,3,5,4,8,7,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[4,7,1,6,2,3,8,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,7,1,2,5,3,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[6,3,2,1,7,4,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,5,4,3,2,1,8,6]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[7,1,8,5,3,6,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[5,8,3,2,7,1,6,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,7,3,1,6,5,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,7,2,6,1,5,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[1,8,5,7,2,4,6,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[3,8,6,1,7,2,5,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,7,2,6,8,4,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[3,6,5,8,1,4,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,5,4,8,3,2,1,7]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[6,5,3,8,7,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[6,4,7,8,1,5,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,5,8,7,1,3,6,4]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[5,3,8,7,2,1,6,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[5,1,7,8,4,3,2,6]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[4,7,1,8,3,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,5,3,8,1,4,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,7,1,6,3,2,8,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[6,8,1,4,3,7,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,3,2,4,1,6,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,7,1,4,3,8,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,2,6,3,4,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,2,7,3,4,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,7,2,8,3,4,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,8,7,1,4,2,6,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,7,8,1,4,2,6,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,6,8,1,4,2,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,6,7,1,4,2,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[8,1,7,4,5,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[6,7,3,2,4,1,8,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,7,2,4,3,6,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,1,2,3,5,6,8,4]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>5
[8,6,2,4,3,1,7,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,6,2,4,3,1,8,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,1,2,3,5,7,8,4]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>5
[2,4,8,1,7,3,6,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,8,1,4,7,2,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[6,8,1,7,3,5,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[6,8,1,2,7,3,5,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,1,8,7,6,5,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>3
[5,6,1,2,4,3,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,5,8,1,7,2,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,5,1,8,7,2,6,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[7,1,4,8,2,6,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[3,7,8,1,2,6,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[2,7,8,1,3,6,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[8,2,5,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,8,1,6,7,5,3,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[8,4,7,2,3,6,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,5,2,4,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,3,5,7,1,2,6,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,8,7,1,3,6,2,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[8,5,4,7,1,6,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,4,7,1,2,6,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[1,6,5,8,2,7,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[8,5,6,3,1,7,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,3,8,2,7,5,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,8,4,2,7,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,4,5,7,3,1,6,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,4,2,5,7,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,3,4,7,2,6,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[8,3,7,2,4,6,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,7,3,4,5,1,6,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,7,2,3,6,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,3,4,8,2,1,6,5]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,1,4,5,2,3,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[8,1,5,4,3,2,7,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[4,5,3,2,8,7,1,6]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[8,1,6,4,3,7,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,1,7,4,3,6,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[6,7,3,2,5,4,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[6,5,4,1,7,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,1,5,6,7,2,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[8,1,3,2,6,7,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[8,1,5,7,6,2,4,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[4,6,7,5,3,8,1,2]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[3,6,7,5,1,4,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[8,1,6,7,5,4,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[8,1,7,6,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>3
[2,7,6,1,5,4,3,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,6,4,1,5,2,7,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,6,5,1,3,2,7,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,1,5,8,2,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,1,7,6,4,8,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[5,7,1,3,8,4,6,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[5,7,1,8,4,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[7,1,4,5,2,8,6,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[8,1,7,5,3,2,6,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[8,3,7,1,2,6,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,1,8,6,4,7,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[7,8,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[7,5,6,3,1,4,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,5,8,3,1,4,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,8,5,3,1,4,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,8,5,3,1,6,2,4]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,8,5,3,1,6,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[7,8,5,3,6,4,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,5,8,3,4,1,6,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,5,6,3,4,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,5,6,3,1,2,8,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,5,3,6,1,2,8,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,5,3,6,4,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,5,3,6,4,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,5,3,8,4,6,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,5,3,1,8,2,6,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,5,3,8,1,6,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,5,3,8,6,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,5,3,8,6,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[7,5,8,3,6,4,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,5,8,3,6,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,5,8,3,1,6,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[7,5,3,6,1,4,2,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,5,8,6,3,1,4,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,5,8,6,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,5,6,8,3,1,4,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[7,5,3,4,1,8,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,5,6,3,1,8,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,5,6,3,1,8,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[7,5,6,3,8,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,5,6,3,8,4,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,5,3,6,1,8,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,5,3,1,6,8,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[7,5,3,4,8,1,6,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,3,2,6,4,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[5,3,2,7,4,8,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[7,6,4,3,8,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
[8,6,4,3,7,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>6
[7,3,2,5,4,8,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[2,1,7,5,4,8,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[7,3,2,8,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[6,3,2,8,7,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>2
[8,3,5,2,4,1,6,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[1,6,5,8,2,4,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[1,4,3,8,2,6,7,5]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[4,3,6,2,7,5,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,6,3,2,1,8,5,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[5,4,7,3,8,6,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,8,7,1,4,2,6,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[1,8,4,3,5,2,7,6]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[1,6,3,4,2,8,7,5]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,8,3,6,2,7,5,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[2,4,1,7,8,6,3,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,4,6,2,5,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,5,7,3,6,4,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[2,8,1,7,5,4,3,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,5,1,8,6,4,3,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[8,6,5,3,2,1,7,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[4,6,3,2,7,5,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[1,4,3,7,2,5,8,6]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[7,4,8,3,1,6,2,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[5,7,4,3,1,8,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[1,8,5,3,7,2,6,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[7,3,8,2,1,6,4,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,3,5,2,1,8,6,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[8,7,6,4,3,1,5,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[2,4,8,1,6,5,3,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[7,1,8,6,3,5,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[8,6,2,4,7,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[7,1,5,4,3,8,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[2,5,1,4,7,8,6,3]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[6,3,8,2,4,7,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,5,8,7,2,3,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,5,7,8,2,4,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,3,4,2,8,5,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,3,8,1,2,7,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,8,3,1,5,6,4,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,8,7,1,5,4,2,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,7,4,1,6,2,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[8,4,7,2,5,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[4,7,8,1,2,3,6,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[2,8,6,1,5,3,7,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[7,6,5,1,3,8,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,7,5,2,1,3,8,4]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[6,8,5,7,2,1,3,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[6,3,5,2,1,7,4,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,8,5,3,1,4,2,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[1,6,4,7,2,5,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,6,4,8,2,5,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,6,5,8,2,4,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,6,5,7,2,4,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,3,4,2,8,6,5]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,7,5,6,2,8,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,4,6,2,8,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,3,5,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,3,4,2,8,5,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[3,7,5,6,1,4,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[4,7,1,3,8,2,5,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,7,8,1,2,6,5,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[1,8,7,3,6,2,5,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[6,8,7,5,3,2,1,4]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>6
[7,8,1,5,4,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,1,5,2,4,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[1,7,6,8,2,5,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,6,8,4,5,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[5,7,6,8,1,4,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,8,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[1,7,6,8,2,4,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[7,8,1,3,2,6,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,1,6,2,4,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[1,8,6,7,2,4,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[7,8,1,4,2,6,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,1,4,2,5,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,6,5,4,3,1,8,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[6,8,5,4,3,2,1,7]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>7
[7,9,6,5,4,3,2,1,8]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>8
[7,1,5,4,3,8,6,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[6,8,1,4,3,2,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,10,7,6,5,4,3,2,1,9]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>9
[6,8,5,4,1,2,7,3]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[6,8,2,4,3,7,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,5,8,4,3,2,1,6]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[8,4,7,5,2,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,4,6,8,2,1,7,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,4,6,5,2,1,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[2,7,5,1,8,4,3,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,8,7,1,4,6,5,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[5,7,1,2,4,3,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[6,3,7,2,4,8,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[2,5,3,7,4,1,8,6]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[3,6,4,7,5,1,8,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[8,4,7,6,2,3,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,7,1,4,8,5,6,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[8,1,6,4,7,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,4,7,1,5,2,3,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,2,3,7,1,5,6,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[4,3,8,2,7,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,8,4,2,1,3,7,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[2,8,3,7,1,5,6,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[6,8,1,2,4,5,3,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[8,1,6,2,4,5,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,3,8,6,2,5,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,8,4,3,7,6,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[2,8,6,1,7,4,5,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[7,2,8,1,3,6,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,5,8,1,2,4,7,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[4,5,8,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[5,8,3,6,7,4,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[2,4,3,7,1,8,5,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,7,1,4,3,8,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,4,1,8,6,3,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,2,5,6,1,4,7,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[2,6,1,8,3,7,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,7,1,6,2,8,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,5,2,4,8,1,7,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,8,2,5,1,6,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[1,5,4,8,2,6,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[2,8,4,5,1,6,7,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[5,4,8,3,7,6,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,1,5,8,6,2,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[5,3,4,8,1,6,7,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[7,5,8,4,1,2,6,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,5,8,4,6,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,4,8,7,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,5,4,8,1,2,7,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,5,4,1,8,2,7,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[6,5,4,7,1,2,8,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,5,4,7,8,1,3,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,5,3,7,1,4,2,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,1,6,4,7,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,1,5,4,3,7,6,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[8,1,5,4,3,7,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,5,3,8,1,4,2,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,4,3,1,5,2,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[6,4,3,1,5,7,2,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,1,5,4,3,6,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,7,3,8,4,5,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,7,5,6,1,8,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,5,3,8,6,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,8,3,6,5,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,6,1,7,3,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,6,1,8,2,7,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,6,1,8,4,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,8,1,6,5,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,5,1,8,6,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,6,4,5,1,8,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,6,4,8,1,5,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,3,6,1,5,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,3,4,1,6,5,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[7,8,2,5,3,4,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,8,1,5,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[1,8,3,6,2,7,4,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,6,4,8,2,7,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,7,5,8,2,6,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,5,6,3,8,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[6,7,2,5,3,4,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,7,1,5,3,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,4,2,7,5,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,4,1,7,5,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,7,5,8,1,4,3,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,3,1,7,5,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,3,1,8,4,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,8,6,7,1,4,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,1,4,3,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,7,2,5,4,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,5,2,7,3,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,5,1,8,2,7,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,4,1,8,2,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,4,1,8,6,7,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,6,8,2,4,5,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,6,2,8,3,5,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,5,2,3,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,6,2,3,7,1,5,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,6,2,7,3,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,6,7,2,4,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,7,2,5,1,6,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,7,2,1,4,6,3,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,5,2,7,1,6,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,7,2,1,4,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,5,2,7,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,4,3,1,7,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,5,7,4,1,6,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,5,7,4,1,2,6,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[8,7,3,5,1,2,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,4,7,2,1,5,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,3,2,7,1,5,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,7,3,1,4,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,3,2,1,7,4,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,6,3,2,1,5,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[6,4,2,7,3,8,5,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[2,1,4,7,6,3,8,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[4,1,3,7,6,2,8,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[8,4,6,1,3,2,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,7,1,4,6,8,5,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[6,5,7,2,8,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[6,5,8,2,1,7,3,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[2,1,6,5,8,4,7,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[2,1,6,8,5,4,3,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[3,8,1,2,6,7,4,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[5,8,4,7,2,1,3,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[6,7,5,4,1,2,8,3]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[2,5,3,1,6,4,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,3,1,8,6,5,4,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,5,3,1,8,6,4,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,6,3,1,8,5,4,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,5,3,8,1,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,4,3,8,1,6,5,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,4,8,1,3,5,7,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,8,5,7,1,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,8,4,7,1,5,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,4,1,7,5,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,6,1,4,7,8,5,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[3,8,1,6,5,4,2,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,1,8,6,3,5,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,1,3,2,7,8,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,7,4,1,6,8,3,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[5,4,8,2,7,6,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,8,2,6,3,4,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,6,1,8,5,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,8,1,5,7,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[1,7,6,8,2,3,5,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[7,6,8,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[6,7,4,3,1,8,5,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[7,4,2,6,8,5,1,3]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,1,6,8,5,4,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[1,7,6,8,3,2,5,4]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[7,6,8,3,1,2,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,6,8,2,3,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,7,1,8,5,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[4,6,5,8,7,1,3,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[5,4,6,7,1,2,8,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,3,6,7,2,1,5,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[5,2,6,7,1,4,8,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,3,4,2,1,8,6,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,3,5,2,7,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,6,2,8,1,4,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,4,2,3,1,6,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,8,4,2,1,6,5,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,4,3,8,7,5,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[6,2,4,1,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,6,1,4,2,3,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,6,2,4,1,7,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[4,8,6,5,3,2,1,7]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>5
[5,7,1,3,4,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,8,1,3,4,2,6,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,8,7,6,3,2,1,5]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>5
[4,3,8,1,6,2,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,3,8,7,2,5,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,8,4,3,7,1,6,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,8,7,1,3,4,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[4,3,8,2,7,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[1,4,3,8,2,6,5,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[4,3,2,8,1,6,5,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,1,3,8,2,6,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,7,8,1,5,4,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,4,8,1,6,2,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,1,7,8,5,3,2,6]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[2,6,8,4,7,3,1,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[7,6,2,8,3,5,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[3,1,4,8,2,6,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[4,8,3,6,2,1,5,7]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[4,8,1,2,5,6,3,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[8,1,3,5,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,6,1,5,8,4,2,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[6,5,4,3,8,2,1,7]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[1,4,3,6,2,7,8,5]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[1,5,4,3,7,2,8,6]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[8,6,2,7,4,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,6,2,1,4,3,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[1,6,4,7,2,3,8,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[2,5,7,4,1,8,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[6,3,2,1,7,8,4,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,1,3,7,4,2,6,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[8,3,5,2,7,6,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,3,2,8,1,6,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,2,6,8,1,5,4,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[3,7,1,8,2,6,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[2,1,7,3,8,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[8,6,7,5,1,4,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,8,3,6,2,1,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[5,8,4,2,6,1,3,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,8,3,2,5,1,7,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[4,3,7,2,5,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,7,3,1,8,6,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,4,3,6,1,8,7,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,8,3,2,1,4,7,6]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[6,4,2,7,1,5,3,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,3,2,6,1,5,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,5,4,1,8,7,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[5,3,2,1,6,4,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,2,7,1,5,4,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,8,7,1,5,4,3,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,8,1,6,5,4,3,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[4,5,8,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[8,1,3,5,7,2,4,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,6,8,1,7,2,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[8,1,2,3,5,4,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[2,7,8,1,3,5,4,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[8,6,4,1,7,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[3,6,8,1,2,5,4,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[7,1,4,2,8,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,8,2,5,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,7,2,1,6,5,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,7,6,3,2,1,5,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[2,1,7,5,4,3,8,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,1,7,8,3,6,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[8,3,7,5,2,6,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[8,5,2,7,4,6,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,3,2,4,1,7,5,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,4,2,3,1,8,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,6,1,4,3,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,7,1,8,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,8,1,4,5,3,2,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[8,7,5,1,3,4,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[5,8,1,6,3,7,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[8,3,5,6,1,7,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,7,3,6,5,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[4,3,2,5,7,1,8,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[3,2,4,6,1,5,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,6,8,1,4,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,6,4,8,2,1,7,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[2,6,7,5,1,8,3,4]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[6,7,5,2,4,1,8,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,7,2,5,3,8,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,7,4,5,2,1,8,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[2,5,7,8,6,3,1,4]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>3
[5,1,7,8,6,3,2,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,3,2,7,5,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,7,4,2,5,1,8,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,3,5,1,8,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,7,5,1,8,6,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,6,7,4,1,8,3,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,1,6,7,3,8,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[3,6,5,1,8,4,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[3,6,5,1,8,4,2,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[4,6,1,5,8,2,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,9,6,5,4,3,2,1,7]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>8
[8,7,5,4,3,1,6,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[11,10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>11
[8,3,4,6,2,1,5,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[3,5,2,6,8,4,1,7]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[2,5,6,1,8,4,3,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,6,1,3,7,8,4,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[5,6,1,7,8,3,4,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[6,4,7,3,1,2,8,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[2,5,6,3,1,7,8,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[6,3,7,2,8,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,3,7,2,8,4,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,3,2,7,1,8,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,7,3,8,2,1,6,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[7,4,5,8,1,2,6,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,5,1,7,3,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,1,3,6,8,2,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[5,3,2,1,8,4,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,3,2,1,6,8,4,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,4,1,8,5,2,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,8,4,1,7,6,3,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,1,4,2,7,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,3,6,2,8,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,2,3,7,1,8,6,5]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,4,2,3,7,1,5,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[5,1,4,2,8,7,6,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[2,7,5,4,1,8,6,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[5,2,4,7,1,8,6,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[5,3,4,7,1,8,6,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,8,5,1,4,7,6,3]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[6,5,3,8,4,7,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,3,8,2,7,4,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,5,1,7,8,4,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[1,8,4,3,7,2,6,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[8,4,7,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,7,1,3,2,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,6,4,1,3,2,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[2,8,1,5,4,7,6,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[3,5,1,7,6,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,1,5,2,6,8,7,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[4,5,8,3,2,1,6,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[4,6,2,7,8,5,1,3]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[5,6,2,7,8,4,1,3]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[7,1,2,3,4,8,6,5]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>6
[5,8,1,2,4,3,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,1,6,8,2,4,7,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[3,6,2,8,1,5,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,6,1,3,8,4,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[8,2,5,1,3,7,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,1,3,7,2,6,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,3,2,6,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,3,2,8,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[4,8,6,1,5,3,7,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[3,6,1,8,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[8,3,2,1,5,4,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[2,5,1,8,4,3,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,4,6,8,1,2,7,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,7,3,2,8,1,6,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,7,3,6,1,5,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,4,7,3,8,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[2,8,6,1,5,7,3,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[1,8,3,4,2,7,6,5]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[5,7,3,2,4,1,8,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,2,5,6,1,7,4,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,1,5,2,8,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[1,8,6,4,5,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[1,8,5,3,6,2,7,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[2,5,4,1,8,7,6,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[4,7,2,6,5,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,1,4,2,7,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,3,5,6,1,8,7,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[5,1,3,6,4,8,7,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[2,3,1,7,5,4,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,8,4,1,5,3,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,8,4,1,5,7,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[1,8,3,5,2,7,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,3,8,6,1,4,7,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,6,1,7,5,8,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,6,1,7,4,8,5,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,6,1,7,4,8,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,6,4,1,7,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,6,4,1,5,8,7,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[2,6,1,5,4,8,7,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,6,1,4,7,8,5,3]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[2,6,1,5,4,8,3,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,4,6,3,1,8,7,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[3,6,5,4,1,8,7,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,1,6,2,8,7,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[8,7,6,3,5,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
[8,3,7,2,6,5,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[8,5,7,2,6,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[8,6,7,2,5,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[8,1,7,2,6,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[8,5,7,6,4,1,3,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,7,6,1,5,2,4,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[6,8,1,3,2,5,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,8,1,4,2,5,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,2,5,3,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,8,1,4,3,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,8,1,4,3,7,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,8,2,5,3,7,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,2,5,4,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,5,1,4,3,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,6,1,4,3,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,6,5,8,1,4,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,6,1,5,3,7,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,8,3,6,4,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,8,2,6,4,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,8,2,6,3,7,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,8,1,5,3,7,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,8,1,5,2,6,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,8,1,3,2,6,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,7,6,8,1,3,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,7,5,8,1,3,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,7,1,3,2,6,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,7,1,4,2,6,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,7,5,8,1,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,7,6,8,1,4,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,7,4,8,1,5,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,7,1,5,2,6,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,7,2,6,5,8,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,7,3,6,5,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,6,3,7,1,5,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,7,4,3,5,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,3,8,2,4,1,6,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,8,4,2,3,1,6,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[5,8,4,2,3,1,7,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,4,2,8,5,3,1,7]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[6,4,5,3,7,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,4,2,5,1,7,3,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,7,2,4,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,3,6,8,2,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,1,4,5,8,2,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[6,8,1,4,2,3,7,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,7,1,4,2,3,8,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,6,1,5,8,3,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,8,1,2,5,7,3,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,7,3,1,5,8,4,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[1,6,7,4,5,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[6,3,4,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>2
[7,5,2,6,8,1,4,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,5,2,7,1,4,3,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,1,7,2,4,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,8,6,3,4,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[7,1,3,6,2,8,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,7,4,1,5,3,8,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[7,4,8,6,2,3,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,5,2,8,4,6,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,6,3,8,4,7,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[6,5,7,2,8,4,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[2,3,5,1,8,4,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,3,6,1,8,5,4,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,6,1,7,5,8,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,7,1,2,8,6,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[6,4,5,7,2,8,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,3,4,7,2,8,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,3,6,2,7,1,4,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,3,5,2,4,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,5,2,3,7,1,4,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,3,5,2,7,1,4,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,6,2,4,7,1,5,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,5,2,3,6,1,4,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,1,5,7,2,3,6,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[1,7,5,8,2,3,6,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[2,5,7,1,8,3,6,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[4,7,1,3,8,5,6,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[1,8,3,7,2,4,5,6]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[4,1,8,5,3,2,7,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[11,12,9,10,7,8,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[3,1,2,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[3,6,8,7,1,2,5,4]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[6,5,7,2,4,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[3,4,1,6,5,8,7,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[3,1,4,6,2,8,7,5]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[8,4,7,5,2,1,6,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,1,4,7,2,3,6,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[5,4,7,6,3,8,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[4,6,3,7,5,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,7,4,3,8,1,2,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,3,8,2,1,6,5,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[3,7,2,6,8,5,1,4]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[6,8,7,1,4,2,5,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,6,1,4,2,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,4,1,8,5,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[8,5,6,1,4,2,3,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,6,1,7,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,5,4,6,1,8,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,6,2,5,4,1,7,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,6,2,5,4,3,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,7,2,5,1,6,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,1,3,7,5,2,8,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,1,3,6,2,8,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[8,1,3,6,2,7,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[7,1,8,2,6,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[4,1,7,8,2,6,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[5,6,1,8,2,7,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,2,7,8,1,6,5,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,8,7,1,6,5,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[3,8,7,1,6,5,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[4,8,7,5,1,6,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[8,4,6,7,1,5,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[3,4,6,5,1,2,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,3,1,7,6,4,8,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,6,7,1,2,8,4,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[3,7,1,6,2,8,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[2,7,1,3,8,6,5,4]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[7,8,1,2,6,5,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[3,8,1,6,2,7,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,6,8,1,2,7,4,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[5,3,6,4,2,8,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,3,6,4,2,8,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,4,3,1,8,2,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,4,2,1,8,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,8,4,2,7,3,1,6]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[8,6,2,5,7,4,1,3]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,5,2,6,4,3,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,1,3,7,2,6,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[2,6,1,7,3,5,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,4,8,2,7,3,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,8,3,2,6,4,1,7]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,3,8,2,6,4,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,8,1,7,2,5,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,7,2,5,4,3,1,6]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[3,5,7,4,2,6,1,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[3,5,4,7,1,6,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,10,4,9,3,8,2,7,1,6]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[2,1,7,3,8,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,8,2,7,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[4,1,7,2,8,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,3,2,8,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,8,2,4,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,7,2,5,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,5,2,8,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,7,2,8,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,8,2,7,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,8,2,4,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,6,2,4,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,8,2,4,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,8,2,5,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,6,2,5,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[8,1,6,2,7,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,8,2,7,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,7,2,8,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,7,2,5,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,1,7,2,4,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[5,1,6,2,4,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,5,2,4,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,6,2,4,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,6,2,5,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,6,2,8,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,1,8,2,6,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>5
[7,4,8,1,5,2,3,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[1,8,5,4,7,2,6,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[6,3,2,8,5,7,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,5,4,3,8,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[7,6,3,8,5,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[5,4,8,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[2,1,7,8,3,6,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[5,4,3,1,6,7,2,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[7,8,1,3,2,4,6,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,2,3,7,1,8,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,6,7,3,1,8,4,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,6,7,1,3,5,4,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[5,1,4,7,8,2,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[1,5,3,6,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[7,6,5,4,2,1,8,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[8,5,4,3,2,1,7,6]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[8,7,4,3,2,1,6,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[4,6,7,1,5,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,2,5,6,1,4,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[7,3,5,2,4,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,3,4,1,6,2,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,3,2,5,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,3,4,1,5,2,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[1,7,4,6,2,8,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[5,6,1,4,7,3,8,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[5,3,2,1,7,4,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,1,4,6,5,8,7,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[7,1,5,2,6,8,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,7,4,6,1,8,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,3,2,6,7,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,8,6,1,7,5,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,4,7,3,6,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,4,8,3,6,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,10,7,9,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,6,8,5,7,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,6,9,5,7,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,6,9,5,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,7,8,4,6,3,5,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,7,9,4,6,3,5,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,6,8,4,7,3,5,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,6,9,4,7,3,5,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,6,9,4,8,3,5,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,5,8,4,7,3,6,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,5,9,4,7,3,6,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,5,9,4,8,3,6,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[6,10,5,9,4,8,3,7,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,7,8,5,6,2,4,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,7,9,5,6,2,4,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,6,8,5,7,2,4,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,6,9,5,7,2,4,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,6,9,5,8,2,4,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,7,8,4,6,2,5,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,7,9,4,6,2,5,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,6,8,4,7,2,5,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,6,9,4,7,2,5,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,6,9,4,8,2,5,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,5,8,4,7,2,6,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,5,9,4,7,2,6,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,5,9,4,8,2,6,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[6,10,5,9,4,8,2,7,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,7,8,3,6,2,5,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,7,9,3,6,2,5,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,6,8,3,7,2,5,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,6,9,3,7,2,5,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,6,9,3,8,2,5,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,5,8,3,7,2,6,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,5,9,3,7,2,6,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,5,9,3,8,2,6,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[6,10,5,9,3,8,2,7,1,4]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[9,10,4,8,3,7,2,6,1,5]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[8,10,4,9,3,7,2,6,1,5]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[7,10,4,9,3,8,2,6,1,5]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[6,10,4,9,3,8,2,7,1,5]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[10,12,9,11,7,8,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,7,9,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,7,9,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,7,10,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,6,8,5,7,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,6,8,5,7,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,6,9,5,7,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,6,9,5,7,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,6,10,5,7,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,6,9,5,8,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,6,9,5,8,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,6,10,5,8,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,6,10,5,9,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,7,8,4,6,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,7,8,4,6,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,7,9,4,6,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,7,9,4,6,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,7,10,4,6,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,6,8,4,7,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,6,8,4,7,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,6,9,4,7,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,6,9,4,7,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,6,10,4,7,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,6,9,4,8,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,6,9,4,8,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,6,10,4,8,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,6,10,4,9,3,5,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,5,8,4,7,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,5,8,4,7,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,5,9,4,7,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,5,9,4,7,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,5,10,4,7,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,5,9,4,8,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,5,9,4,8,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,5,10,4,8,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,5,10,4,9,3,6,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,6,10,5,9,4,8,3,7,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,6,11,5,9,4,8,3,7,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,6,11,5,10,4,8,3,7,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,6,11,5,10,4,9,3,7,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[7,12,6,11,5,10,4,9,3,8,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,7,8,5,6,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,7,8,5,6,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,7,9,5,6,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,7,9,5,6,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,7,10,5,6,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,6,8,5,7,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,6,8,5,7,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,6,9,5,7,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,6,9,5,7,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,6,10,5,7,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,6,9,5,8,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,6,9,5,8,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,6,10,5,8,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,6,10,5,9,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,7,8,4,6,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,7,8,4,6,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,7,9,4,6,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,7,9,4,6,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,7,10,4,6,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,6,8,4,7,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,6,8,4,7,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,6,9,4,7,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,6,9,4,7,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,6,10,4,7,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,6,9,4,8,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,6,9,4,8,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,6,10,4,8,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,6,10,4,9,2,5,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,5,8,4,7,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,5,8,4,7,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,5,9,4,7,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,5,9,4,7,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,5,10,4,7,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,5,9,4,8,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,5,9,4,8,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,5,10,4,8,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,5,10,4,9,2,6,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,6,10,5,9,4,8,2,7,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,6,11,5,9,4,8,2,7,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,6,11,5,10,4,8,2,7,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,6,11,5,10,4,9,2,7,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[7,12,6,11,5,10,4,9,2,8,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,7,8,3,6,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,7,8,3,6,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,7,9,3,6,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,7,9,3,6,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,7,10,3,6,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,6,8,3,7,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,6,8,3,7,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,6,9,3,7,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,6,9,3,7,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,6,10,3,7,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,6,9,3,8,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,6,9,3,8,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,6,10,3,8,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,6,10,3,9,2,5,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,5,8,3,7,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,5,8,3,7,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,5,9,3,7,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,5,9,3,7,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,5,10,3,7,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,5,9,3,8,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,5,9,3,8,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,5,10,3,8,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,5,10,3,9,2,6,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,6,10,5,9,3,8,2,7,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,6,11,5,9,3,8,2,7,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,6,11,5,10,3,8,2,7,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,6,11,5,10,3,9,2,7,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[7,12,6,11,5,10,3,9,2,8,1,4]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,9,10,4,8,3,7,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,9,11,4,8,3,7,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,8,10,4,9,3,7,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,8,11,4,9,3,7,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,8,11,4,10,3,7,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,7,10,4,9,3,8,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,7,11,4,9,3,8,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,7,11,4,10,3,8,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,7,11,4,10,3,9,2,6,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,6,10,4,9,3,8,2,7,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,6,11,4,9,3,8,2,7,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,6,11,4,10,3,8,2,7,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,6,11,4,10,3,9,2,7,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[7,12,6,11,4,10,3,9,2,8,1,5]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[11,12,5,10,4,9,3,8,2,7,1,6]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[10,12,5,11,4,9,3,8,2,7,1,6]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[9,12,5,11,4,10,3,8,2,7,1,6]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,12,5,11,4,10,3,9,2,7,1,6]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[7,12,5,11,4,10,3,9,2,8,1,6]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[6,12,5,11,4,10,3,9,2,8,1,7]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[2,1,7,3,5,8,6,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[2,1,7,3,6,8,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,1,6,8,3,7,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,1,8,3,5,7,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,1,6,3,5,8,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,8,4,7,5,1,6,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[8,4,3,6,1,7,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,6,1,8,3,5,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,7,3,1,5,6,4,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,4,7,1,8,5,3,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,1,8,3,6,7,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,8,1,5,7,2,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[1,8,6,7,4,2,5,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[3,4,7,1,5,2,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,6,7,4,1,5,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[4,3,2,7,1,5,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,5,8,2,3,7,1,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,8,5,3,1,7,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[5,7,8,6,1,3,2,4]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,4,8,1,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,3,2,6,4,8,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[1,8,4,5,2,6,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[1,8,4,3,6,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[7,3,2,6,8,5,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,5,2,8,4,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,4,5,8,2,1,3,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,4,2,8,3,5,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,3,4,8,2,5,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[7,5,4,8,3,6,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[7,1,5,4,8,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[7,3,2,5,8,4,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[7,4,6,3,8,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,4,6,2,7,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[6,5,7,8,4,1,3,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[7,5,6,8,2,4,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,4,6,2,8,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,3,2,6,8,5,1,7]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[6,5,7,8,3,1,4,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,4,7,3,8,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,4,7,3,8,1,2,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,3,2,5,4,8,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,4,5,2,3,8,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,4,7,3,8,1,6,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,6,2,8,3,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,3,2,6,8,4,1,7]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[5,4,7,2,8,1,3,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,4,7,2,8,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,3,2,7,8,1,6,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,3,2,7,8,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,7,1,3,5,4,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[6,4,7,3,5,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[3,6,1,7,5,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,6,1,3,5,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[7,3,2,5,6,1,4,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[2,7,8,4,1,5,6,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[2,7,1,8,5,6,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[8,2,4,5,1,6,7,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[7,6,3,5,8,4,1,2]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,6,3,8,4,5,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,6,4,8,1,5,7,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[7,6,5,1,4,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,8,5,4,1,2,6,3]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[7,6,5,1,3,2,8,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,6,5,1,3,4,2,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,6,4,3,1,8,7,5]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,5,8,4,1,6,2,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,5,8,4,1,6,7,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[2,5,8,4,1,7,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[7,6,5,1,8,2,4,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,6,5,1,4,8,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,6,4,5,1,7,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,5,6,4,1,7,8,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[7,8,5,4,1,6,3,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[2,5,6,4,1,7,3,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,6,4,5,1,7,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[7,8,6,2,1,3,5,4]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[4,6,1,5,3,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,6,1,4,2,5,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,3,4,2,8,7,5]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[4,8,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[7,4,2,1,8,6,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,6,2,5,3,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,7,6,8,1,5,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,4,5,8,3,1,2,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[3,6,8,1,5,2,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,1,6,8,3,7,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[6,5,3,4,8,1,7,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,2,8,1,5,3,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,1,5,8,3,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,8,5,6,4,1,3,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[7,6,8,3,5,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,8,4,7,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,7,4,2,5,3,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,4,2,5,6,3,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[3,7,2,5,6,4,1,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[6,7,4,8,2,1,5,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[4,1,8,5,6,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[6,1,8,5,3,7,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[3,8,1,5,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,1,6,5,3,7,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,6,3,5,1,7,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,5,4,6,1,2,8,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[3,2,5,6,1,7,8,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,8,4,7,2,1,3,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[4,8,6,5,1,7,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[1,7,4,6,2,3,8,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[5,7,4,6,1,3,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,6,4,1,3,5,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,8,1,5,6,4,2,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,6,4,1,5,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,5,4,1,3,2,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,3,2,6,1,4,7,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,6,1,3,8,7,5,4]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[2,7,1,6,4,8,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,7,1,6,5,3,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,8,1,7,6,5,4,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[8,3,2,7,1,6,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[4,1,8,7,3,2,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[4,1,7,2,8,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[3,7,1,8,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[3,6,8,5,1,4,7,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[7,3,5,8,2,1,4,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,4,2,8,1,6,5,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,7,5,3,2,1,6,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[6,8,4,5,2,1,7,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[4,7,5,1,3,8,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[5,1,7,6,3,8,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[5,1,7,6,4,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[5,1,8,7,6,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>3
[8,5,2,1,7,6,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,5,2,1,6,3,7,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,1,8,6,3,2,7,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[8,4,2,5,7,3,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[5,4,8,2,7,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,4,8,7,3,6,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,3,7,2,4,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,7,4,2,8,1,3,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[6,5,2,7,1,3,8,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,6,5,4,2,1,7,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[6,4,7,3,1,8,2,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,6,3,8,5,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,4,8,1,3,2,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,4,8,6,3,1,5,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,1,3,4,5,2,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,2,8,1,5,4,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,1,8,4,3,7,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[3,7,1,4,2,5,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,8,5,3,2,7,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[1,7,3,6,2,8,5,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[3,8,1,5,6,4,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[8,5,4,1,3,6,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[5,1,3,4,6,2,7,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,1,4,2,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,5,2,6,4,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,5,2,7,4,8,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,5,2,7,4,9,6,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,5,2,7,1,6,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,4,2,8,7,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,8,7,6,1,5,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[6,1,8,7,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>3
[3,1,8,7,6,5,4,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>3
[4,8,1,7,6,5,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[6,5,3,1,8,7,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[6,4,3,1,8,7,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[5,4,3,1,8,7,6,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,5,2,1,8,6,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[5,4,2,1,8,7,6,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,3,2,1,8,6,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[6,3,2,1,8,7,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,2,3,6,1,4,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,2,3,8,1,4,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,4,2,3,6,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,4,2,3,8,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,3,6,2,4,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,3,8,2,4,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,4,8,5,3,7,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,3,2,4,5,1,8,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[7,8,4,2,6,3,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[4,3,6,8,1,2,7,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,1,7,2,8,3,9,4,10,5]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[7,1,8,2,9,3,10,4,11,5,12,6]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,6,5,8,7,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[2,1,6,3,5,8,7,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[2,4,1,3,8,5,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,6,1,3,8,5,7,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[2,4,1,8,3,5,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[2,8,1,4,3,5,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,8,1,3,6,5,7,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[5,6,4,2,7,3,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[5,7,1,4,6,3,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[5,8,1,4,6,3,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[6,8,1,4,5,3,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[6,7,1,4,5,3,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[3,7,1,5,4,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,7,1,4,5,3,8,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[5,7,1,4,6,3,8,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[5,4,7,2,8,3,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,4,7,2,8,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,6,4,2,8,3,1,7]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[5,8,1,4,6,3,2,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[3,8,1,5,4,6,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,6,1,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,3,8,1,4,2,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,4,7,2,8,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,8,1,4,7,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,8,1,4,5,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[3,8,1,5,4,7,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,6,1,5,4,8,7,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[3,6,1,5,4,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,4,2,6,5,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[3,8,1,5,4,2,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,8,1,4,7,3,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[6,4,7,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[3,7,1,5,4,8,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[3,4,1,2,8,5,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,7,1,5,4,2,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[9,8,7,6,5,4,2,1,3]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[9,8,7,6,5,3,2,1,4]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[8,7,6,3,5,2,1,4]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[9,8,7,6,4,3,2,1,5]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[8,7,4,6,3,2,1,5]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[9,8,7,5,4,3,2,1,6]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[8,5,7,4,3,2,1,6]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[9,8,6,5,4,3,2,1,7]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[9,7,6,5,4,3,2,1,8]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>9
[10,9,8,7,6,5,4,2,1,3]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[10,9,8,7,6,5,3,2,1,4]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[10,9,8,7,6,4,3,2,1,5]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[10,9,8,7,5,4,3,2,1,6]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[8,5,4,7,3,2,1,6]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[10,9,8,6,5,4,3,2,1,7]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[6,5,8,4,3,2,1,7]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>7
[9,6,8,5,4,3,2,1,7]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[10,9,7,6,5,4,3,2,1,8]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[5,8,7,4,3,2,1,6]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>6
[10,8,7,6,5,4,3,2,1,9]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>10
[4,1,7,2,5,8,6,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[6,5,2,8,1,7,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,8,3,5,1,7,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,4,3,8,7,1,6,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,5,4,3,7,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[8,3,7,4,2,6,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[2,8,6,5,1,7,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[6,3,2,8,4,1,7,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,8,3,4,1,7,5,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,4,2,8,3,1,7,6]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,8,4,3,1,7,6,5]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[2,8,5,3,1,7,6,4]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[2,8,6,4,1,7,5,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,8,7,5,1,6,4,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[8,3,7,5,2,6,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[8,4,7,6,2,5,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[4,8,7,6,1,5,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[7,4,8,6,2,1,5,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,3,8,5,2,1,6,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,3,8,4,2,1,6,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,5,4,3,8,2,1,6]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[8,7,4,6,3,5,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[6,4,7,8,3,1,2,5]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,3,4,8,2,1,5,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,6,4,8,3,2,1,5]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>7
[7,5,8,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[6,5,8,7,3,1,4,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[6,3,2,4,8,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,4,8,7,3,1,5,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,6,4,7,3,2,5,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[8,3,4,7,2,5,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[8,3,5,7,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[8,4,6,7,2,3,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[7,4,6,8,2,1,3,5]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[1,8,4,6,3,5,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[2,7,6,1,8,5,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[2,7,6,8,1,4,5,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[2,7,6,1,8,5,3,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[6,3,5,1,7,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[1,8,4,5,2,7,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,8,4,5,2,7,6,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[3,7,1,6,8,5,2,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,3,1,8,6,4,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[1,8,4,5,2,6,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,8,4,5,2,3,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[2,5,7,4,6,3,8,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[5,4,2,7,8,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[5,1,8,4,6,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[5,3,6,2,4,8,7,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[2,5,4,1,8,6,3,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,7,6,1,8,2,5,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[8,2,3,6,1,4,7,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,5,4,1,3,8,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[7,2,3,6,1,4,8,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,5,4,8,1,3,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,4,7,1,3,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,6,5,1,3,4,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,8,1,6,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[6,8,4,2,5,1,7,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,3,2,1,5,7,4,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,4,2,8,5,1,7,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,6,4,7,1,5,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,6,4,8,1,5,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,8,7,1,6,5,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,6,5,7,1,4,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,3,2,4,7,1,5,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[2,5,3,7,1,6,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,7,5,8,1,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,7,6,8,1,5,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,6,7,5,1,4,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,8,6,5,1,4,2,3]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[3,1,7,5,4,2,8,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,1,8,5,4,6,3,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,2,7,1,5,3,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,6,8,1,5,4,2,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,7,1,2,6,3,8,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,7,8,1,5,3,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[8,7,2,1,4,5,3,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,7,5,6,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,7,4,1,6,5,3,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,5,1,4,7,6,8,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[2,6,4,1,7,5,3,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,6,5,7,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,5,7,8,1,4,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,2,6,1,5,3,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,5,6,7,1,4,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,6,8,5,1,4,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[2,7,6,1,4,5,3,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,8,6,5,1,4,3,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[5,3,6,2,1,8,7,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,3,7,2,8,4,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,2,4,5,1,3,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,2,4,5,1,8,7,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[3,1,4,5,2,8,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[1,6,4,5,2,8,7,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[5,8,4,3,6,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[1,4,8,3,6,7,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>2
[4,3,8,2,1,7,5,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,3,5,8,2,7,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,6,4,5,8,1,3,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[7,3,6,1,8,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,5,2,1,7,4,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[5,3,4,6,2,8,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,4,7,2,3,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,5,7,2,8,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,3,7,2,4,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[8,7,6,1,4,5,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,7,6,1,3,2,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,7,4,5,1,6,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,6,4,1,7,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,4,6,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,3,5,4,2,1,7,6]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[5,8,1,7,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,3,4,2,6,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[3,6,7,5,2,4,1,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[5,8,1,7,4,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,8,1,7,3,6,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,4,6,5,2,8,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,6,7,1,4,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[1,8,4,6,2,5,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[3,1,8,2,5,6,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,5,1,8,2,6,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,5,1,2,8,4,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[2,8,7,1,4,6,5,3]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[8,7,2,4,1,6,5,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[1,7,3,8,2,6,4,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,8,3,7,2,5,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[4,7,8,1,3,2,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,5,3,8,4,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[8,3,5,7,1,6,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[4,8,1,7,2,3,6,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,7,1,8,2,6,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,3,6,1,4,5,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,7,4,6,1,2,5,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,4,6,1,2,8,3,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,6,8,1,2,7,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[4,8,1,5,2,7,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[8,6,7,4,1,2,5,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[6,4,8,1,2,5,3,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[7,8,6,4,1,2,5,3]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[8,6,2,5,3,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[1,8,3,4,2,7,5,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,8,3,4,1,6,7,5]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[8,7,2,3,1,6,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,1,3,5,7,2,4,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[7,1,3,6,2,5,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,1,3,6,2,4,7,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[7,1,8,2,5,6,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[6,1,5,8,2,7,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[4,5,2,8,1,6,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,2,5,8,1,4,7,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[2,8,7,1,6,4,5,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[8,4,5,7,1,6,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[6,2,3,1,5,4,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,2,3,1,4,6,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,6,1,4,5,3,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,5,6,1,3,2,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,5,7,1,2,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[6,7,1,4,2,5,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,7,1,3,5,6,4,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[7,8,1,2,5,3,6,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[1,6,5,7,2,3,8,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[1,5,3,8,2,6,4,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[6,7,5,2,1,8,4,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[3,4,7,1,8,6,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[7,4,2,5,3,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,5,8,1,6,3,2,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,5,1,6,8,3,2,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[6,4,3,1,7,8,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[7,5,2,8,1,4,3,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,6,1,7,3,8,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[6,7,1,3,2,8,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,4,2,7,1,8,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,7,3,2,1,4,8,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[7,2,4,1,8,3,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,2,4,7,1,8,5,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[1,8,4,5,3,6,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[5,2,4,8,1,3,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,4,5,2,3,8,7,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[6,4,2,5,3,8,7,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[6,4,8,7,2,5,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[2,1,8,6,4,7,5,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[1,6,3,5,2,4,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[2,4,8,1,5,3,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,4,8,1,6,2,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,7,5,1,8,4,6,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[4,8,1,6,3,5,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,3,2,8,5,7,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,7,3,2,5,1,8,6]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[2,4,3,5,1,8,6,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,2,8,1,4,6,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,1,6,8,2,3,7,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[4,5,1,2,8,3,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,6,2,8,4,7,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,4,5,1,8,7,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,3,6,8,2,1,7,5]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[4,3,2,5,8,1,7,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,1,2,3,4,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>6
[8,3,5,6,2,4,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[8,1,2,3,4,6,5,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>7
[7,5,8,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,4,6,3,7,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,8,3,4,1,5,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,8,2,5,7,4,1,3]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[2,5,7,6,3,1,8,4]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[8,3,6,7,1,5,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[4,8,6,1,3,5,2,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[4,3,7,2,5,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,6,8,3,2,1,5,7]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[7,3,8,2,5,4,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,7,3,6,2,1,8,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[5,4,3,7,1,8,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,8,1,5,7,4,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[8,7,5,3,6,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
[3,7,1,6,4,2,8,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,7,2,6,3,8,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,3,7,2,8,1,4,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,3,2,8,7,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[7,3,8,2,6,5,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,8,7,2,5,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,6,1,8,7,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[5,6,1,2,8,7,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[7,5,2,8,1,6,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,8,7,1,6,4,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[11,9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>11
[8,5,4,3,7,2,1,6]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[6,5,4,8,3,2,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[5,4,6,8,3,1,2,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[2,6,7,4,5,3,1,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[6,8,3,2,7,1,5,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,5,6,8,2,1,4,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[4,7,1,6,5,2,8,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,4,6,1,8,5,2,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,8,1,4,2,6,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,8,2,4,1,6,7,5]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,4,3,7,5,1,6,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,4,7,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,7,5,6,1,3,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[5,7,6,4,3,1,8,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[3,7,5,1,8,2,6,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[6,1,7,8,2,5,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,7,5,2,8,1,4,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,4,8,2,3,6,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[3,1,4,8,2,5,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[8,1,7,2,4,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[8,1,3,6,2,5,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[2,7,1,6,3,5,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[8,1,5,6,2,3,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,7,1,4,5,3,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,7,1,6,2,5,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,7,1,4,5,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,3,6,1,5,4,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,3,4,1,5,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,2,4,1,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,2,5,1,3,7,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,7,1,2,8,3,5,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[5,2,6,1,3,7,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,4,6,1,5,3,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,7,1,3,5,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,7,1,4,2,6,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,7,1,6,2,3,8,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,3,6,1,2,7,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,4,6,1,5,2,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[8,5,6,2,7,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,7,6,1,5,3,8,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[7,6,2,4,5,3,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[6,1,7,5,3,8,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[8,5,2,7,1,6,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,8,6,1,7,2,4,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,8,1,7,2,6,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,1,5,7,2,6,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[8,1,7,2,5,6,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,7,8,5,1,6,2,4]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[6,5,2,7,8,1,4,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,7,2,1,5,6,3,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,6,7,1,5,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,5,6,2,1,8,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[3,6,4,8,7,1,5,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[5,8,2,3,1,6,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,7,8,4,1,6,3,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[4,1,7,6,3,8,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,6,1,5,2,3,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,2,3,5,1,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,2,5,1,8,3,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,8,5,1,6,7,2,3]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,8,5,1,6,7,2,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[5,6,3,2,8,1,4,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,6,2,8,5,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,1,3,7,5,2,6,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[6,3,8,1,4,2,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,1,5,8,2,6,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[5,1,8,2,6,7,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[5,3,2,8,4,6,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,4,2,6,5,3,1,7]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,3,6,2,5,4,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,7,8,2,3,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[1,8,3,7,2,6,5,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,5,4,8,3,2,7,6]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[7,3,6,1,2,5,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,4,7,1,3,2,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,7,4,8,2,1,3,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[7,4,6,2,1,5,3,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[3,6,1,8,2,4,7,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,6,1,8,3,7,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,1,8,7,3,6,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[4,1,8,7,6,2,5,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[1,6,4,5,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,7,4,5,2,3,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,7,3,5,2,4,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,6,3,5,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,8,6,7,3,4,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,8,5,7,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,7,3,4,2,6,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,8,4,7,3,5,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[1,7,3,6,2,5,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,7,3,6,2,4,5,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,7,4,6,2,3,5,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,8,5,6,2,3,4,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,8,5,6,2,4,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,6,4,7,2,8,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[8,4,6,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,4,8,2,3,6,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,4,8,5,2,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,8,5,3,4,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[6,8,3,7,2,1,4,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[1,8,5,7,2,3,4,6]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[6,1,5,7,8,2,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[1,6,5,8,2,3,4,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[7,6,2,3,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,6,2,3,1,7,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,7,1,3,8,2,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[7,6,8,1,5,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,4,1,7,5,8,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,4,6,5,2,8,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,4,1,7,8,6,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[6,4,2,7,5,8,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,4,2,7,5,3,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[4,8,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,4,7,1,6,2,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,4,7,1,6,2,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,8,1,6,3,4,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,4,7,2,6,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,4,3,7,5,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,8,3,2,1,6,4,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[8,6,5,3,7,2,4,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[7,5,4,3,8,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>6
[5,2,6,1,8,3,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,2,7,1,8,3,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,4,8,6,2,5,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[6,3,8,2,4,5,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,3,8,1,5,2,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,3,7,8,2,4,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,4,7,2,6,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,8,2,7,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,3,6,8,2,4,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[5,6,3,4,2,1,8,7]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,3,4,2,1,5,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[5,6,4,2,1,3,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[2,1,8,5,6,4,3,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,4,2,1,5,6,3,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,3,4,2,1,8,5,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,6,2,4,1,8,5,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,1,7,8,6,4,3,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[7,8,4,2,1,6,3,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[2,6,1,8,4,3,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,5,7,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[6,3,7,2,5,4,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,3,2,7,5,4,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,4,2,6,3,1,7,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[1,7,6,3,4,2,8,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[6,8,5,2,3,1,7,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[4,1,3,7,5,2,8,6]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[4,8,2,7,1,5,6,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,5,8,2,3,1,7,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[1,5,3,8,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[6,4,2,8,3,1,7,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,4,2,3,8,1,7,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,8,3,2,7,6,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[4,3,8,2,7,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,3,2,8,1,7,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[4,7,8,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,4,2,7,1,6,8,5]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,6,1,8,4,3,2,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[3,5,1,6,2,8,7,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[3,5,2,7,8,4,1,6]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[5,1,6,8,2,4,3,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[5,3,7,8,2,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[3,2,4,8,1,5,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,4,6,7,2,3,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,4,6,8,2,3,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,3,8,7,2,4,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,4,8,7,2,3,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[4,7,8,6,2,3,1,5]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[8,5,7,6,2,3,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,5,8,6,2,3,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,1,7,6,4,2,8,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[4,1,6,5,3,8,7,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[4,6,1,5,3,8,7,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,6,5,3,1,8,7,4]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[2,6,5,1,8,7,3,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,6,5,8,1,7,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,6,1,5,8,3,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[4,1,6,5,8,3,7,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[6,4,3,8,7,1,5,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,4,8,3,7,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[1,4,6,8,5,3,7,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>2
[2,6,8,5,1,7,3,4]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[4,6,3,8,1,5,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[4,6,3,8,5,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,3,6,8,1,5,7,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[4,1,3,6,8,7,5,2]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>3
[4,3,6,8,1,7,5,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[6,5,2,8,7,3,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[4,6,1,8,3,7,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>2
[2,3,7,1,4,8,6,5]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[6,5,2,4,3,7,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,4,2,5,3,7,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,4,7,6,2,3,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,3,2,7,4,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,3,2,6,4,7,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,3,2,6,1,8,5,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,3,1,8,4,5,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[7,8,1,4,3,5,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,2,3,4,6,8,5]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>6
[6,1,2,3,4,8,7,5]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>6
[8,1,2,3,4,6,7,5]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>6
[2,8,1,3,5,4,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,3,2,5,1,8,6,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,3,2,8,4,5,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,6,2,3,4,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,6,2,3,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,3,2,7,4,5,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,3,7,2,6,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,8,1,5,2,7,6,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,1,3,8,5,2,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[5,1,4,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[4,3,7,2,6,5,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[1,6,8,5,7,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[4,6,1,2,5,8,3,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[7,8,6,5,1,2,4,3]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[7,4,8,5,3,1,6,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[6,8,5,2,4,1,7,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[2,3,1,6,8,5,7,4]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[7,3,2,5,1,4,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,3,8,1,6,5,4,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,1,4,7,2,5,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,5,2,4,1,7,8,6]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,3,2,8,6,4,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[2,7,8,4,6,3,1,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[7,3,5,2,6,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,5,2,3,6,1,7,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,3,2,6,4,7,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,5,8,7,1,2,6,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[3,6,8,4,7,2,1,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[3,5,8,4,7,2,1,6]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[5,6,8,1,3,2,7,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,6,8,4,3,2,1,7]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>6
[7,1,4,8,6,2,5,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,1,5,8,7,2,6,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,1,4,8,7,2,6,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[1,6,4,8,2,7,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,6,4,8,3,2,7,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[2,6,5,1,8,7,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[1,6,5,4,8,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[1,6,5,3,8,2,7,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[7,6,2,4,3,8,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,1,5,4,3,2,8,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,7,1,3,6,8,4,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[6,7,3,2,8,1,4,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,3,4,2,6,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,4,8,2,1,5,3,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,8,3,2,5,1,4,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[8,7,2,6,5,4,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,5,6,1,3,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,4,6,1,5,2,3,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,5,2,6,1,4,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,1,7,4,3,2,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[5,7,8,1,3,2,6,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,8,1,6,7,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[6,5,7,1,8,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,5,8,1,3,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,1,8,4,3,6,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,4,5,1,7,2,3,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,6,8,1,7,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,5,8,1,2,7,3,4]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,8,1,7,3,2,6,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,3,4,7,1,2,6,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,4,8,2,1,3,6,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,4,3,8,1,2,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[4,3,5,2,6,8,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,3,5,7,2,8,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,3,5,7,2,6,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[4,3,6,7,1,5,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[4,6,3,5,1,7,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[3,5,6,4,1,7,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[3,5,2,6,1,7,8,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,2,3,6,1,7,8,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,3,7,2,5,8,1,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,3,5,7,2,8,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,3,5,7,2,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[6,2,4,5,1,7,8,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,4,2,6,7,3,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[1,5,4,6,2,7,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[6,5,7,2,8,1,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,6,4,7,1,3,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,4,5,2,6,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,5,3,4,1,6,2,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,4,5,3,1,6,2,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,4,3,5,6,1,8,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,7,3,4,1,5,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,4,5,2,8,1,3,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,6,3,4,1,2,8,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,7,3,2,5,1,8,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,4,5,2,7,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,4,5,2,7,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,4,5,2,6,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,4,5,6,1,2,8,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,5,6,2,1,3,8,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[6,5,7,2,1,8,3,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[5,4,6,7,3,1,8,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[1,7,8,5,6,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[3,7,5,8,6,1,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[1,5,7,8,6,3,4,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>2
[5,3,7,8,1,6,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,8,1,5,6,3,4,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[7,1,8,5,6,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[1,3,7,8,5,6,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>2
[1,7,8,3,5,6,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>2
[5,7,1,8,3,6,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,1,3,5,8,6,4,2]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>3
[5,3,7,1,4,2,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,3,5,8,1,2,6,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,5,6,2,8,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,7,2,5,8,3,1,6]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[6,2,4,5,1,3,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,4,7,6,2,8,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,8,7,1,4,6,2,3]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[4,7,6,1,8,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[4,7,3,2,1,8,6,5]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,7,5,2,3,1,8,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,7,2,6,4,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,1,7,4,3,2,8,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[6,8,3,4,2,1,7,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,5,8,3,7,4,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,3,7,2,8,5,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,1,3,8,7,2,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,1,5,6,2,8,7,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[4,1,5,2,8,7,6,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[7,4,2,5,1,8,6,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[1,5,3,6,2,8,7,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[2,4,8,7,1,3,6,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[4,5,1,2,8,7,6,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[8,1,6,4,3,7,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[8,2,3,1,4,6,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,7,3,8,2,1,5,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[8,3,7,2,1,5,4,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[5,4,6,2,7,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[2,4,1,8,5,7,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[8,1,2,3,4,5,9,6,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[4,2,3,6,1,5,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,8,1,7,3,6,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,2,3,4,1,8,6,5]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,2,3,4,1,5,8,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[8,6,7,4,1,5,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[8,7,4,5,6,1,3,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,7,5,1,4,6,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,5,8,7,1,2,6,4]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[3,8,7,1,5,6,2,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[5,7,1,8,2,6,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,8,7,1,5,6,3,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,1,8,2,4,6,5,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[1,8,3,7,2,5,6,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[5,7,1,8,2,3,6,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[8,6,3,7,4,1,5,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,4,2,7,5,6,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,8,6,1,7,2,5,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[4,7,1,8,2,6,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,2,7,1,6,3,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,2,7,1,3,6,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,7,3,1,5,6,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,3,7,2,5,6,1,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[3,1,8,5,7,4,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[2,6,8,3,5,4,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[4,8,1,7,6,3,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[3,7,1,8,6,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,1,7,6,4,5,2,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[3,1,7,5,8,4,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[7,3,6,4,2,8,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[7,4,8,2,1,6,3,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,7,4,6,3,2,5,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[7,8,5,2,1,4,3,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,5,2,3,1,4,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,4,6,2,3,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,2,5,8,3,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[4,6,5,8,1,3,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,7,1,5,3,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,8,6,1,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[8,4,6,2,1,3,7,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[5,4,6,8,2,3,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[6,4,7,2,1,8,3,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,5,3,4,1,2,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,8,5,4,1,3,2,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,4,3,7,1,5,2,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[9,6,7,5,4,3,2,1,8]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[6,3,7,8,2,5,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,3,8,7,2,4,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,3,8,7,2,6,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[5,4,6,2,8,7,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,4,6,8,2,7,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,3,6,7,1,8,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,1,3,6,7,2,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,6,4,8,1,5,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[3,5,7,4,1,6,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[3,5,7,1,2,6,4,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[4,5,1,8,2,3,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,7,1,8,2,6,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,7,1,3,2,5,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,8,2,4,3,5,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,7,2,4,3,5,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,4,1,6,5,7,3,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,5,1,6,4,7,3,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,5,1,6,3,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,5,1,3,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,6,5,7,1,3,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,6,1,3,2,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[1,4,3,6,2,7,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[3,4,1,6,5,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,5,4,6,1,7,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,5,1,6,4,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[3,5,2,6,4,7,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,4,3,6,1,7,5,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,5,3,6,1,7,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,6,1,7,3,8,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,5,7,3,1,8,4,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,7,4,1,8,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[4,6,3,2,1,7,5,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,3,2,6,1,7,5,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,6,1,7,5,3,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,4,7,1,3,6,5,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[7,4,2,1,5,6,3,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[4,3,7,2,5,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,7,1,6,3,5,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[8,7,3,6,1,5,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,4,2,1,7,8,3,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,3,6,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[2,3,1,8,4,7,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,3,7,2,8,5,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[1,6,3,8,2,7,5,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,7,5,3,8,2,6,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[3,7,8,5,2,4,1,6]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[4,1,7,6,3,2,8,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[8,4,2,7,6,3,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,4,7,3,1,6,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[2,6,8,5,7,4,1,3]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[5,7,4,6,2,1,8,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,7,1,8,3,4,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,3,1,8,5,6,4,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,7,1,6,2,5,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,7,1,5,3,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[1,8,5,6,3,4,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[4,6,5,8,1,7,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,4,3,8,1,7,5,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,1,4,8,7,2,5,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[6,1,8,4,7,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[7,4,5,2,8,6,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[7,4,5,8,1,6,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,8,1,4,6,2,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,4,2,6,3,5,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,4,8,5,2,1,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,1,8,4,3,5,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,7,1,4,8,3,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[2,6,7,4,8,3,5,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[2,6,7,4,8,3,1,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[7,8,1,3,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,6,7,1,8,5,3,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,7,1,8,3,5,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,8,1,7,3,5,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,8,1,5,3,7,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,5,2,4,1,6,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,1,8,4,6,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[3,7,1,8,6,4,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[3,8,1,7,6,4,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[8,7,2,4,3,5,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,1,7,4,6,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,7,2,5,3,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,6,2,5,3,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,4,5,2,3,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[5,4,6,3,1,2,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[4,7,3,2,8,6,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[2,1,7,6,8,5,3,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[3,7,6,1,8,5,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[7,1,3,6,4,8,5,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[6,4,8,3,5,1,7,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,8,3,6,7,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[3,6,1,8,4,5,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,3,2,4,1,8,7,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,3,7,4,2,6,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,7,4,1,5,6,2,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[8,3,5,2,7,4,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,2,4,8,1,3,6,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[3,1,8,6,7,5,2,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[1,5,8,4,6,3,7,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[3,8,1,4,6,7,5,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[4,3,8,2,5,1,6,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,7,3,5,1,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,4,7,6,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[5,4,8,6,2,7,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[4,3,7,2,8,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[6,4,7,2,5,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[2,6,8,4,7,3,5,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[8,5,4,1,7,6,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,5,8,1,2,6,3,4]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[6,2,5,7,1,4,8,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,8,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,4,1,8,5,3,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,4,8,6,3,1,7,5]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[3,4,1,5,2,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[3,5,6,1,8,7,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,1,4,6,2,7,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[3,5,1,6,7,4,8,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,5,1,6,7,4,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[4,5,6,1,7,3,2,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[6,4,2,7,8,5,1,3]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,1,6,2,4,7,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[7,6,2,1,4,8,3,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,7,1,5,4,8,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,8,6,1,4,7,3,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,5,8,4,7,3,1,6]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[3,7,2,5,4,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,1,7,5,4,8,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[5,1,8,4,7,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,8,2,4,7,3,1,6]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[6,8,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[8,5,2,4,7,3,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,1,5,4,7,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,6,3,1,4,7,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,6,4,1,7,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,1,3,2,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,4,3,1,7,8,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,4,2,5,1,6,3,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,3,6,5,2,1,7,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,3,6,5,2,1,8,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[5,4,2,8,1,3,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,4,2,5,1,8,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,3,8,5,2,7,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[8,4,2,5,1,3,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,3,6,1,8,4,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,4,8,1,3,7,5,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[2,5,8,1,7,3,6,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,8,6,1,4,7,5,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[2,7,1,5,8,3,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[7,3,6,1,2,8,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,6,1,8,7,5,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,8,5,7,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[7,3,8,1,5,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,1,7,5,3,6,2,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,5,2,3,1,7,8,6]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,6,2,7,1,4,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,3,2,7,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,6,3,1,8,7,4,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,3,6,4,2,8,7,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[4,1,8,2,5,7,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,6,4,1,5,3,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[6,8,5,2,1,7,3,4]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,8,3,2,5,1,7,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[4,2,8,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,4,2,1,6,7,3,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,4,3,7,1,2,8,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,4,3,8,1,2,7,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[6,1,5,4,3,2,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[8,7,6,1,3,5,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,1,6,5,7,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[7,8,6,2,5,3,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[6,1,3,5,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,4,7,6,3,1,5,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,6,2,5,7,1,4,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,8,7,1,3,2,5,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[1,8,5,6,2,4,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[2,3,1,7,8,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[4,5,6,1,2,8,7,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[5,1,3,2,7,8,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[7,6,2,8,4,3,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[5,3,8,1,7,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,3,8,4,2,1,7,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[2,5,8,3,1,6,7,4]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[2,8,1,6,3,4,7,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[8,3,4,2,1,6,5,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,4,7,2,5,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,4,5,2,6,3,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,5,8,1,2,6,4,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[5,8,6,1,3,4,2,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,3,4,5,2,8,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,7,4,3,6,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,6,1,7,4,2,8,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[6,4,7,8,2,1,3,5]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,5,8,4,1,3,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[2,7,3,1,8,6,4,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[7,6,8,1,2,4,3,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[7,6,8,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,4,5,2,7,6,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,8,5,1,6,2,7,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[6,3,5,7,1,4,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[3,7,8,4,1,5,6,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[3,6,1,2,5,8,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,6,1,5,8,2,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,6,5,1,4,8,3,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,5,1,8,4,7,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[8,4,3,7,1,2,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[4,1,7,2,6,8,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,5,8,1,2,7,4,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,6,8,1,2,4,7,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[4,1,3,8,7,2,6,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,5,8,1,7,2,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,6,8,1,7,3,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,1,5,8,2,3,7,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[5,1,8,7,4,2,6,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[5,1,7,4,8,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[5,4,3,1,6,2,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,8,1,3,2,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,8,6,4,3,7,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,1,7,6,5,3,8,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[3,4,1,7,8,5,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[8,5,6,2,7,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,4,2,5,6,1,7,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,8,6,1,5,3,2,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,5,4,7,1,6,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,5,8,7,3,6,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>2
[5,7,1,8,4,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,8,3,2,7,6,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[2,5,3,1,8,6,7,4]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[2,8,5,6,1,4,7,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[4,8,6,1,5,2,7,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,6,4,8,5,1,7,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[8,4,7,6,2,1,5,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[3,5,7,6,4,1,8,2]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[8,6,2,3,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[4,7,3,2,1,8,5,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[3,1,7,2,5,8,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,8,3,1,6,5,4,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,8,1,2,5,7,4,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[6,5,3,7,8,4,1,2]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,4,5,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,3,2,6,8,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,1,3,8,4,2,7,6]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,1,8,4,3,6,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[5,6,8,1,7,3,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[7,4,6,8,2,1,5,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[3,8,2,7,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,1,6,5,4,8,3,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[7,6,3,8,1,5,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,3,8,5,2,6,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[4,7,1,8,5,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,3,4,2,8,7,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,8,5,7,1,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[5,7,2,8,3,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,1,3,6,4,2,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[5,1,8,7,4,6,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[5,1,6,4,3,2,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,8,3,6,4,7,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[6,5,8,7,4,1,3,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,7,2,5,6,1,4,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,7,4,2,1,3,8,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[6,4,3,8,5,7,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,8,4,2,3,1,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,4,8,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,5,2,4,7,1,3,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,5,7,4,1,8,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,6,4,5,1,8,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,6,4,1,3,7,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[5,3,6,1,8,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,8,1,4,7,3,5,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,1,8,5,4,7,6,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[4,5,1,8,2,7,6,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,6,1,7,8,4,2,3]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[4,6,8,1,7,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,8,6,1,7,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[5,6,7,1,8,3,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,6,7,1,3,2,8,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[7,4,6,2,3,5,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,2,5,7,3,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,4,5,6,1,8,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[4,7,5,1,6,8,2,3]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[8,5,4,1,3,2,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,4,8,3,7,1,6,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,7,1,8,2,5,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[8,1,6,7,2,5,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,1,7,6,5,8,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,1,4,7,2,8,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,4,5,2,6,8,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,2,5,1,3,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,5,8,1,7,3,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[8,6,2,7,4,5,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,2,8,1,7,3,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,2,3,8,1,5,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[5,8,3,2,7,1,4,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,5,8,1,6,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[5,4,8,1,6,2,3,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,7,4,3,8,1,6,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,7,4,8,3,1,2,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[3,4,8,1,2,5,7,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[6,1,3,4,8,2,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[6,7,5,8,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,7,4,8,1,3,5,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,7,5,8,4,1,3,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,7,4,8,2,1,3,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[3,8,1,7,5,2,6,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,1,8,7,5,6,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,1,8,6,7,5,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,1,7,8,6,4,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,7,1,8,5,4,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,8,3,2,6,1,4,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,4,2,8,1,5,3,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,7,6,1,8,4,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[5,3,6,4,2,7,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[2,3,1,8,7,5,4,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,3,8,5,2,1,7,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[5,1,8,6,3,7,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[8,5,2,6,3,7,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[6,1,8,7,4,2,5,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[4,3,2,8,7,6,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[2,4,5,1,3,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[4,1,8,6,3,2,7,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[7,4,2,8,6,3,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,5,2,6,3,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,4,8,5,2,6,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[7,4,6,3,1,8,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[2,3,1,7,5,8,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,4,8,5,2,1,6,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[4,1,8,5,7,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,1,7,4,8,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,3,4,8,1,2,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,3,5,8,1,2,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,4,3,8,1,7,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,4,3,8,1,6,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,6,8,4,1,7,3,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[5,4,2,7,6,8,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,8,7,1,4,5,3,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[4,6,1,8,7,3,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[4,3,5,2,8,7,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,7,6,8,1,5,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,8,6,1,7,3,5,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,7,5,1,6,8,2,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,6,5,8,1,4,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[3,6,7,4,1,8,2,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[7,5,8,2,6,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,3,2,6,1,8,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,4,7,2,3,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[3,8,1,6,7,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,8,4,6,1,5,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,6,2,4,1,3,7,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[4,7,5,1,8,6,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[3,5,1,6,8,4,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[8,3,7,4,2,1,6,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[3,7,1,5,2,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,2,3,5,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,6,3,1,4,8,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[5,1,7,4,3,8,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[7,4,8,2,1,5,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,4,3,8,1,5,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,3,4,2,8,5,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,8,6,1,5,2,7,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,6,7,1,5,2,8,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[7,1,3,8,4,2,6,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,4,2,1,5,8,3,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[7,3,2,6,4,8,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,4,2,7,3,8,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,4,8,3,1,5,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[3,5,2,7,1,6,8,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,1,3,7,4,8,5,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[2,5,1,4,3,8,6,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,6,2,4,8,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,3,2,7,1,6,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,8,5,6,1,4,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[7,6,4,8,3,2,5,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[4,3,7,2,1,6,5,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[2,5,8,1,4,3,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,7,4,8,1,3,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,7,4,1,8,3,6,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,5,1,8,4,2,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,7,8,1,5,3,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,8,7,1,3,6,4,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[2,8,7,1,6,3,5,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,7,6,1,5,4,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[6,8,1,7,5,2,4,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,7,8,4,3,1,2,6]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[5,8,6,4,3,2,1,7]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>6
[2,4,7,1,5,3,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,3,6,2,4,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[5,3,6,1,4,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[9,1,2,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>8
[10,1,2,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>9
[9,1,2,3,4,5,7,8,6]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>7
[2,3,4,5,6,9,7,8,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>2
[2,3,4,5,6,7,8,10,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>2
[6,8,1,5,2,4,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,4,3,1,7,8,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,1,7,5,8,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[3,4,1,7,5,8,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,8,3,6,2,1,4,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[6,3,2,1,8,4,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,8,1,5,3,2,6,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[7,3,4,6,1,5,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,8,3,2,4,1,6,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,2,7,1,8,3,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,2,7,1,4,8,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,6,8,3,7,4,5,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[2,5,8,3,7,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[4,2,7,1,3,8,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,2,5,1,3,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,3,6,1,7,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,4,2,3,7,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[7,6,3,8,1,2,5,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,4,2,3,8,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,6,2,7,1,3,5,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[4,1,7,8,2,3,6,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[5,3,8,1,6,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,8,1,3,7,4,5,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[7,2,8,1,6,3,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,8,2,7,1,4,5,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[4,8,1,2,6,7,3,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[2,8,7,5,1,6,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[8,2,4,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,6,1,4,2,8,7,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,1,7,4,3,8,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[1,7,4,3,6,2,8,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[1,8,3,4,2,6,7,5]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[7,3,8,1,2,6,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,8,4,1,6,5,2,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,7,2,4,5,1,6,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,1,8,7,5,3,6,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[7,5,8,4,1,6,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,6,3,8,1,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,6,3,1,5,2,8,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,4,2,6,1,3,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,5,8,1,7,4,3,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[7,6,2,5,4,8,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,6,5,1,8,4,3,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[4,2,3,7,1,5,8,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[3,2,4,8,1,5,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,4,8,3,1,7,5,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[4,8,3,2,1,7,6,5]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,8,3,7,2,1,5,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[3,5,8,1,7,2,6,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[7,6,4,8,1,5,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,1,7,6,4,8,3,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[5,4,8,7,2,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,4,1,8,6,2,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[7,3,6,5,2,8,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,5,2,6,1,7,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,4,2,6,8,3,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[6,5,2,8,1,4,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,4,8,1,5,2,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[7,6,8,2,5,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[3,5,4,7,6,1,8,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[3,5,7,4,6,2,1,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[5,3,7,6,2,4,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,7,5,4,1,8,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,7,5,1,4,8,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[3,7,5,1,4,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[5,3,7,1,6,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,5,7,1,4,2,6,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,5,4,7,1,6,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[3,2,5,7,1,4,8,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[3,5,7,1,4,2,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,1,7,5,8,4,6,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[3,8,6,4,1,7,5,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,7,6,4,1,8,5,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,7,4,1,8,6,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[3,8,4,1,7,6,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[4,2,5,8,1,6,7,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[8,3,2,5,6,1,4,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[2,6,5,7,1,8,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[2,5,1,8,7,4,3,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[8,6,3,4,1,5,2,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,6,8,5,1,4,7,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[2,5,8,7,4,1,6,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[7,6,2,4,5,1,8,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[7,3,4,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[8,5,6,2,1,3,7,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,3,5,2,4,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,3,7,2,4,6,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,7,3,2,4,1,6,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[5,3,2,4,7,1,6,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[3,2,5,1,4,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,8,5,1,7,6,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[8,5,6,2,7,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[3,6,4,1,8,7,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[1,5,6,4,8,3,7,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[7,6,5,8,1,3,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,5,7,1,8,4,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,3,6,1,2,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,2,6,1,3,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[2,1,4,8,6,3,7,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[8,4,2,6,7,3,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[5,8,1,4,3,6,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,4,5,3,8,1,7,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,3,5,7,2,1,6,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[3,8,5,6,1,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,4,8,1,7,6,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[6,4,8,3,1,7,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[3,6,5,8,7,1,4,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[7,8,4,2,5,3,1,6]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,5,2,4,6,3,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,4,7,5,2,6,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[7,5,2,1,8,3,6,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,5,2,6,3,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,7,4,1,5,2,6,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,6,3,1,4,2,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,5,2,8,6,3,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,5,7,6,3,1,4,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,4,6,3,1,7,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,4,7,5,2,1,8,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[6,3,5,2,8,7,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[6,3,5,2,7,4,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,7,4,2,6,3,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[3,2,6,8,1,5,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[8,6,2,7,1,5,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,6,8,3,1,5,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,3,7,2,8,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,5,2,8,6,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,7,3,8,1,5,6,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[8,4,6,5,3,1,7,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,8,1,2,4,3,6,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[6,1,3,4,2,8,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[1,8,5,7,4,2,6,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[8,1,7,6,3,5,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[3,6,8,5,7,4,1,2]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[4,6,7,1,2,8,5,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[3,6,1,8,2,7,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,1,6,7,5,3,2,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[8,7,2,5,4,6,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[3,8,5,1,6,4,2,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,5,8,4,7,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[4,5,8,1,7,6,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[1,5,8,4,7,3,6,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[2,6,4,1,7,8,3,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,2,3,4,1,6,8,5]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[7,2,3,8,1,6,5,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,6,4,8,7,1,5,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[7,1,3,8,2,6,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[3,1,6,5,8,4,7,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[5,1,6,4,8,3,7,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[4,3,7,2,6,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,4,8,2,6,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[4,1,7,8,6,3,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,8,3,2,1,4,7,5]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[1,8,3,5,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[6,8,3,5,1,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,1,3,4,2,6,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,1,3,2,5,6,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[10,1,3,2,5,4,7,6,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[12,1,3,2,5,4,7,6,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,3,6,2,1,8,5,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[5,8,3,4,2,1,7,6]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[5,8,3,7,2,1,6,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[2,5,7,1,8,6,3,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,2,4,5,1,3,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,4,1,8,5,6,3,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,5,1,6,7,3,8,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[2,8,4,1,7,5,3,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,2,6,8,1,7,4,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,6,2,3,5,1,4,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[8,6,2,4,1,5,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,3,2,6,5,4,1,7]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,3,2,5,7,4,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[3,6,1,8,7,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[8,1,3,5,7,6,4,2]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>3
[2,8,3,7,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>2
[8,2,3,7,1,6,5,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[2,4,8,5,7,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>2
[6,1,8,2,7,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[8,1,5,2,7,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[8,1,7,2,4,6,5,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[5,8,6,3,2,1,7,4]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[6,5,7,2,4,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,7,1,3,2,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,8,1,3,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,5,8,2,1,4,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[1,5,4,8,2,3,7,6]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[7,5,8,2,3,1,4,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,3,5,4,2,1,8,6]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,3,2,8,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,7,4,2,1,8,5,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,7,3,2,1,8,5,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,5,8,2,3,7,4,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[3,7,4,1,6,5,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,7,6,1,5,2,8,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,7,1,5,8,4,3,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,7,6,1,8,4,3,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,7,6,1,5,8,2,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,5,8,6,4,1,7,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[4,7,2,3,1,6,8,5]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,4,6,2,8,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,1,8,6,4,7,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,1,8,5,6,3,7,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[6,7,2,3,1,5,8,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,5,2,3,8,1,6,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,5,1,6,2,8,7,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[7,4,3,6,5,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[3,8,5,4,1,7,6,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[1,5,4,8,2,3,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[6,8,1,3,5,4,7,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[2,5,8,4,6,3,1,7]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[7,1,5,4,8,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[7,3,2,5,8,1,6,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,7,5,1,8,3,6,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,7,1,3,2,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[8,4,7,6,3,5,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,1,8,5,3,7,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[8,6,5,1,7,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,2,3,7,1,4,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,8,4,7,3,1,5,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[8,4,6,7,1,2,5,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,8,2,6,1,4,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,8,4,7,2,1,5,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[4,1,8,7,5,6,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[2,1,8,3,5,7,6,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[3,5,8,1,7,6,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[4,8,3,7,6,12,5,11,2,10,1,9]=>[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]=>5
[4,7,3,6,5,10,2,9,8,12,1,11]=>[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>5
[6,3,7,2,5,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,8,3,2,1,7,4,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,8,1,7,5,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,4,7,8,5,3,1,6]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>3
[8,5,6,7,3,1,4,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,7,5,3,2,6,4,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>6
[2,8,3,1,6,5,7,4]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[8,4,5,2,3,7,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,4,7,5,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[2,8,4,1,5,7,6,3]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[2,8,5,4,1,7,6,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[2,6,1,8,7,5,3,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[3,1,8,2,5,7,6,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[3,1,6,8,7,2,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,8,4,5,1,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,1,4,5,7,2,3,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[5,3,8,6,2,7,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,8,1,4,5,2,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,6,8,1,4,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,7,8,1,2,6,3,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[3,7,1,6,2,4,8,5]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,1,7,2,5,8,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[6,1,5,2,7,8,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[5,7,8,1,2,6,3,4]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[7,8,6,3,1,5,2,4]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[1,7,4,8,2,5,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[3,8,6,1,4,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[7,1,8,2,4,6,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[7,6,8,4,1,5,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[7,3,2,8,1,5,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,3,2,8,4,5,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[1,6,4,8,3,5,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[4,8,2,5,3,7,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[7,3,5,4,2,8,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[4,3,7,2,1,8,6,5]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,2,4,7,1,3,8,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[6,1,8,4,7,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[7,6,8,2,5,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,1,2,3,4,5,6,7,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>9
[3,5,8,6,1,2,7,4]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[3,5,8,4,1,7,2,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[7,6,4,8,5,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[6,1,7,4,5,3,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[6,1,3,7,4,2,8,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[1,8,6,7,2,5,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[7,3,4,8,1,6,5,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,7,2,4,6,1,5,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,4,6,2,8,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,3,2,8,5,4,1,7]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[5,3,4,2,7,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,3,5,1,2,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,1,7,2,5,6,4,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,8,6,1,7,4,3,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[8,5,2,6,1,3,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,8,5,1,6,4,7,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[5,2,3,1,4,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,1,3,4,2,8,6,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[4,7,3,2,8,5,1,6]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[4,3,7,2,8,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,3,4,1,2,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,8,7,4,3,1,6,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[3,1,7,8,2,5,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,4,5,1,8,2,3,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,2,3,1,8,4,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,1,4,8,3,7,5,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[4,8,1,6,7,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[6,3,7,8,2,4,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[8,5,2,4,3,1,7,6]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,5,1,4,3,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,8,1,3,2,6,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,6,3,8,1,5,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,3,5,1,2,6,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,7,2,8,4,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,6,5,1,7,2,4,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,5,2,6,4,8,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,3,8,2,4,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,8,4,2,1,7,5,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[6,5,3,1,4,8,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,1,7,8,6,4,2,5]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[3,8,1,7,6,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,1,7,6,4,2,5,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[1,7,5,8,2,4,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[6,1,5,2,4,8,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[8,3,7,2,5,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[1,7,4,8,3,2,6,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[6,1,5,4,3,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[1,6,5,7,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,7,5,6,2,3,4,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,7,5,8,2,3,4,6]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[2,1,5,8,6,3,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[2,5,3,8,6,1,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[6,3,2,5,8,1,7,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,3,2,8,6,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,8,4,6,1,3,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[3,8,4,1,5,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[3,6,4,1,8,2,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,6,4,1,5,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,6,4,2,7,1,8,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,3,2,5,4,1,8,6]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,3,2,5,1,8,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,7,3,2,6,1,8,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[5,7,3,2,6,4,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[2,7,5,3,1,8,6,4]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[7,5,2,8,4,3,1,6]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[7,3,2,4,1,8,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[4,3,7,5,2,6,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[4,3,5,2,8,6,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,4,8,6,2,3,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[8,3,2,7,4,6,5,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[5,1,3,8,7,2,6,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,1,5,2,4,8,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[3,8,5,1,4,7,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,4,6,1,3,2,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,4,5,7,2,6,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,5,2,6,7,3,1,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[8,1,7,5,3,6,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[1,7,6,8,5,2,4,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[5,6,3,7,1,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,4,2,3,5,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,2,3,6,1,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,2,8,1,5,3,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,8,2,5,7,3,1,6]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[3,8,5,1,4,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[7,3,6,2,8,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[3,7,2,8,4,5,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,5,1,8,4,6,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,6,2,7,8,3,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[4,6,1,3,8,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,3,6,2,1,8,7,5]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[3,7,4,5,1,6,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,1,4,5,2,8,7,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[5,3,6,8,2,7,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,3,6,8,2,7,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[1,5,8,3,6,7,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>2
[5,1,6,2,7,3,8,4,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,5,2,6,3,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,7,8,4,1,5,2,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[1,8,5,7,2,4,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,8,3,6,2,4,5,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[5,3,2,6,8,4,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[3,1,8,6,4,7,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[3,1,6,8,5,4,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[5,3,2,8,7,6,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[5,3,8,2,7,6,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,5,4,8,3,7,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>6
[4,8,5,1,3,7,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[4,3,8,7,2,6,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[2,7,5,1,8,4,6,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[7,8,5,2,1,6,4,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[7,6,4,8,1,2,5,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,5,4,8,3,2,6,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>6
[3,8,4,6,1,7,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,1,4,7,2,3,8,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,1,3,4,5,6,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>7
[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>8
[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>9
[6,1,3,5,8,2,4,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[5,6,4,3,1,8,2,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,1,7,5,8,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[6,7,1,3,8,4,5,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[6,7,3,2,1,8,4,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[2,7,1,8,4,6,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,7,5,8,1,6,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,2,5,7,1,4,6,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[8,2,4,7,1,5,6,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[8,4,3,7,6,5,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,5,6,7,4,1,3,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,4,2,7,5,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,3,4,2,7,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,3,5,2,7,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,5,2,6,7,4,1,3]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,5,3,7,6,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,6,2,5,7,3,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,6,2,4,7,3,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[2,7,4,6,1,5,8,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[4,7,1,6,5,3,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[4,8,1,6,5,3,2,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[5,7,6,1,4,3,2,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,8,6,1,4,3,2,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,2,3,7,1,6,8,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[3,6,7,1,4,2,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[5,7,6,1,4,3,8,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[6,8,1,7,5,4,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,1,3,6,8,2,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[8,1,4,6,5,2,7,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,1,5,4,6,3,2,8]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[6,1,5,4,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[7,5,4,6,1,3,2,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,8,3,5,1,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[4,5,3,8,2,1,7,6]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[7,3,8,2,6,5,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[2,4,1,8,7,3,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,4,7,8,2,1,6,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,6,4,7,1,5,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,7,4,8,2,1,6,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[8,4,6,7,2,5,1,3]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,7,3,2,8,1,5,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,4,3,1,6,2,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,3,7,2,8,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,6,3,2,1,8,7,5]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[5,7,8,4,3,2,1,6]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>6
[4,5,3,2,8,6,1,7]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[6,8,7,4,3,2,1,5]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>6
[3,7,4,1,5,8,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[6,8,1,4,3,7,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[6,7,1,4,3,8,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[4,7,1,5,3,8,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,1,6,4,8,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,5,3,6,1,7,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[3,7,1,8,2,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[3,8,1,7,4,5,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,8,2,5,4,7,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,5,8,6,1,2,7,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[4,6,8,5,2,7,1,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[3,7,8,5,2,6,1,4]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[4,6,5,1,7,3,8,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[6,3,2,5,1,7,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,6,5,8,1,7,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,1,7,6,3,4,2,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[7,1,8,6,4,5,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,8,4,3,1,7,2,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,8,1,3,7,5,6,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[6,7,5,3,8,1,2,4]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[6,8,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[5,1,4,2,6,8,7,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[6,3,2,4,7,1,8,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,3,6,2,8,5,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[2,8,3,7,5,1,6,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[6,4,8,7,2,1,5,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,3,2,5,6,1,8,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[7,1,5,6,2,3,8,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[4,1,3,7,2,5,8,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[1,7,5,6,2,3,8,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[3,6,7,5,2,8,1,4]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[6,5,4,1,3,8,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,3,5,4,2,8,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,8,4,5,1,6,7,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[2,4,1,8,5,7,6,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,8,3,7,4,1,6,5]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[2,3,1,8,7,6,4,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,8,5,4,1,7,2,3]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[8,4,7,2,1,6,5,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[3,8,1,2,5,6,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,7,1,2,5,6,4,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[4,8,1,6,5,2,7,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,3,5,4,2,7,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,1,8,6,5,2,7,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[5,2,4,6,1,3,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,7,1,6,8,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[8,4,6,5,2,7,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[8,6,2,3,5,1,7,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[7,2,4,8,1,5,6,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,4,2,5,8,1,7,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,7,4,8,1,5,6,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[2,6,3,5,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>2
[8,6,5,3,7,2,1,4]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[7,8,3,4,1,5,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,2,3,8,1,5,6,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,4,8,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,3,6,2,8,4,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,5,4,8,1,6,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,3,5,8,2,1,6,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,4,7,2,3,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,8,1,5,4,2,7,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[7,8,6,3,1,4,2,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,8,6,3,5,1,2,4]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[5,6,4,3,7,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,4,7,8,2,3,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[5,3,7,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[4,3,7,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[8,5,2,6,7,3,4,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,4,2,6,3,7,5,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[7,4,6,2,3,8,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[7,5,6,2,8,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>2
[2,4,6,8,5,3,1,7]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>3
[8,7,2,6,5,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,8,3,2,1,7,6,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[5,4,3,8,1,7,6,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,5,3,8,7,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[4,3,8,2,7,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[4,8,3,7,2,1,6,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[8,6,3,1,7,5,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[8,6,3,7,1,5,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,4,2,1,7,6,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[1,4,3,8,2,5,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[1,5,3,8,2,7,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[5,2,4,8,1,6,7,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[7,4,5,2,1,8,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[4,5,1,8,3,2,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[7,5,2,3,1,8,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,3,1,7,8,5,6,4]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,7,8,5,1,4,2,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[4,5,3,8,2,1,6,7]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[1,5,4,7,3,6,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[7,5,4,1,8,2,6,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,4,2,7,8,6,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[4,1,6,7,5,3,2,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,7,4,3,1,5,2,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,4,8,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[4,3,5,6,1,7,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[3,6,7,1,8,2,5,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[3,4,1,8,7,2,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,1,5,7,2,8,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[4,8,1,3,2,7,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[3,2,5,7,1,8,6,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[4,5,1,7,6,8,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,8,5,2,4,1,3,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,6,2,3,1,8,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,4,1,7,8,5,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,2,4,1,3,8,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,3,2,6,7,1,8,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,4,6,2,7,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,3,6,2,8,7,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,8,5,3,1,7,2,4]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[1,6,3,5,2,7,8,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[5,1,3,7,2,6,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,1,6,7,2,4,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,1,4,8,2,7,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,7,2,6,3,5,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[1,5,4,7,2,6,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[1,7,3,5,2,8,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,7,6,4,8,2,5,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[4,8,1,7,5,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,5,2,4,1,6,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,8,7,1,5,2,6,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[7,6,8,4,1,3,2,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,6,8,4,1,5,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,7,5,1,3,6,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[7,3,8,2,5,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,4,2,5,3,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[4,8,1,5,3,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,4,8,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[7,4,8,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,6,3,4,1,8,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,7,3,1,6,2,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,1,7,5,4,6,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,5,7,2,8,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,5,7,2,8,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,7,3,8,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,7,6,4,2,5,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]=>6
[5,1,8,7,3,4,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,2,3,1,5,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,1,2,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[2,6,5,1,4,3,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[6,8,7,5,3,1,4,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[2,1,4,8,7,3,6,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[8,7,3,4,1,2,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,8,7,1,6,5,3,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,8,7,1,4,3,6,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,4,8,7,3,1,6,5]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[2,4,3,1,8,7,5,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,6,8,7,5,1,4,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[8,7,5,6,1,2,4,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,4,8,7,3,6,5,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>2
[8,7,2,4,3,6,5,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[8,7,3,4,1,6,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[8,1,2,3,4,5,7,6,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[7,1,2,3,5,4,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[5,4,8,1,3,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,4,6,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[3,8,2,6,5,7,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,7,2,5,6,3,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[3,8,1,7,5,4,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[5,8,6,1,7,3,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[3,4,1,7,6,8,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,5,7,1,8,4,3,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[1,4,8,6,7,3,2,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>3
[4,1,8,6,7,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[8,1,3,5,2,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[2,7,1,5,4,8,6,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[8,6,2,4,3,7,5,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[2,4,1,6,7,5,8,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[8,1,4,7,6,2,5,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[2,4,5,1,7,6,3,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,3,5,1,4,8,7,6]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[2,7,1,3,8,4,6,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[3,8,7,1,6,2,5,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,8,7,1,4,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[8,3,7,2,4,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,6,7,2,1,4,3,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,3,4,6,2,1,5,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[3,7,4,6,1,5,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,4,7,6,1,2,8,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[8,7,3,5,6,1,4,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,5,3,7,1,6,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,6,3,8,1,4,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,4,8,2,6,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[4,7,2,5,3,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,2,5,1,4,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[3,8,1,5,6,2,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[3,2,8,1,6,4,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,3,7,1,8,6,4,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,6,1,7,8,5,3,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,8,6,2,4,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[7,4,6,2,8,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,1,5,8,2,3,6,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[7,3,6,2,1,8,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,1,6,4,3,8,7,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[5,4,6,8,1,3,7,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[1,3,5,7,9,10,8,6,4,2]=>[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>2
[5,1,3,4,8,2,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[6,3,4,7,1,8,5,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,5,2,7,6,3,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[8,3,2,5,6,1,7,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[5,4,2,7,8,6,1,3]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,6,2,4,8,1,5,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,3,2,8,7,1,6,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,3,8,2,1,7,6,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,4,2,8,1,7,6,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,8,4,2,1,7,6,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[5,4,8,3,1,7,6,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,7,6,1,8,3,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,7,8,3,1,5,4,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[5,6,1,2,8,3,7,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[5,8,7,1,6,2,4,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,7,6,1,3,8,4,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[6,7,1,4,2,8,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[1,8,4,6,3,2,7,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[3,5,6,1,4,2,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[7,3,5,8,2,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[2,6,3,8,5,1,7,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[4,1,7,6,8,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[4,5,1,7,6,2,8,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,5,3,7,6,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[3,8,7,6,1,5,4,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>3
[3,4,8,1,5,2,6,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[8,6,5,7,1,3,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,2,6,4,3,1,7]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[2,7,5,8,1,4,6,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[3,2,6,7,1,8,5,4]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[6,7,1,8,5,2,4,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,1,2,3,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[5,1,2,3,4,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[8,1,2,3,4,5,6,7,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[7,1,2,3,4,5,6,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[6,1,2,3,4,5,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>10
[4,7,1,8,6,5,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[3,8,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[7,5,6,4,1,3,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,8,6,4,1,3,2,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,1,4,2,5,6,3,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[7,3,2,8,1,6,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,6,8,1,5,3,7,4]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[5,3,2,6,4,8,7,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[2,4,5,3,8,6,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[4,3,5,2,8,6,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[7,5,2,4,3,8,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[4,3,2,6,8,5,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[5,3,4,8,2,6,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[6,3,2,5,8,4,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,4,6,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,5,2,1,4,3,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,1,7,8,5,4,2,6]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,7,4,2,1,5,3,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,1,6,5,3,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[1,5,4,6,3,8,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[4,3,8,6,2,1,7,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,3,6,2,4,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,4,2,8,7,3,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[3,6,8,1,7,4,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,8,6,1,7,5,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,6,3,2,7,4,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[8,5,2,4,3,6,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,5,7,2,4,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[5,8,1,6,7,4,2,3]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[8,1,6,5,4,7,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[1,8,6,3,5,2,7,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[4,7,1,6,8,3,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[8,6,3,5,7,4,1,2]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[1,7,3,4,2,6,8,5]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[1,4,7,3,6,8,5,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>2
[6,8,5,2,1,7,4,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[5,3,7,2,6,4,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,6,2,5,3,4,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,6,2,4,5,3,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[7,6,2,4,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,4,2,7,1,6,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,6,3,2,8,1,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,6,2,7,1,5,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,7,2,8,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,8,4,3,1,5,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[8,7,6,1,4,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,7,5,8,6,1,3,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[6,5,7,3,8,4,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,4,8,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,1,4,8,5,2,7,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[8,6,2,7,5,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,7,1,8,6,3,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,7,6,1,3,2,8,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[8,1,7,5,3,6,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[8,6,5,3,7,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]=>6
[3,5,4,6,1,7,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[8,1,5,4,6,3,7,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[2,7,1,5,6,4,3,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[8,4,6,3,1,7,2,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,4,2,5,6,3,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,6,2,7,5,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[5,4,7,2,8,6,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,5,6,4,1,7,2,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,5,6,1,7,4,3,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,7,1,8,6,5,4,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[3,7,6,1,8,5,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[5,8,2,7,3,4,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,3,2,6,7,4,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[7,3,5,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[7,6,4,1,8,2,5,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,7,1,2,6,8,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,5,7,4,1,8,2,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,8,4,6,1,5,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,3,5,6,1,4,7,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[8,3,5,7,2,1,4,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[6,1,7,5,4,8,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,8,1,4,7,3,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[5,7,1,6,8,3,2,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,7,4,8,6,1,5,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[6,5,8,1,4,2,3,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,3,6,2,8,7,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[6,3,5,2,1,8,7,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,3,6,2,8,4,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,1,7,8,5,3,2,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[6,8,7,1,5,4,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[5,3,8,2,7,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,3,4,5,2,7,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[3,7,1,6,8,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,7,1,6,5,2,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[8,3,5,2,7,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,1,8,4,6,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[7,3,6,2,5,4,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,3,8,2,5,4,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,3,7,2,5,4,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,3,7,2,6,4,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[7,1,3,2,5,6,4,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[6,3,5,2,4,8,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,3,4,2,1,5,8,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[3,6,7,1,8,4,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,4,2,3,7,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,3,2,6,7,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,8,1,6,3,7,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[8,3,5,2,6,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[1,8,5,6,2,7,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[7,3,2,1,6,4,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,3,8,2,1,5,7,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[5,4,7,8,2,3,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[6,4,7,8,3,1,5,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[5,8,1,7,6,4,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,1,8,4,5,3,7,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[5,1,4,6,2,8,7,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[5,8,1,7,6,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[8,4,3,6,1,5,2,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,8,2,6,7,1,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,3,7,2,1,4,6,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[7,6,4,1,3,2,8,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,1,6,2,8,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[7,2,6,8,1,3,5,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,1,8,5,3,2,6,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[6,1,5,8,7,2,4,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[6,1,4,2,5,8,7,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[8,2,3,5,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[8,7,4,1,3,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,2,6,1,7,3,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,8,4,5,1,3,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[4,8,1,5,6,3,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,8,1,7,2,6,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,8,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,7,1,3,2,8,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,4,3,1,7,2,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,7,4,2,8,6,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[6,8,7,1,5,4,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[8,7,4,6,5,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,4,3,6,5,8,7,10,9,1]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]=>2
[8,7,2,4,6,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[4,3,5,7,2,6,1,8]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[8,1,5,2,4,6,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,6,8,1,5,4,3,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,4,7,8,3,1,2,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,6,2,8,1,4,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,1,8,6,5,7,2,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,7,3,2,5,1,6,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,6,2,7,5,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,5,2,4,1,3,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,6,2,7,5,3,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[4,3,8,1,5,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,8,1,6,5,2,4,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[6,5,8,2,7,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,8,2,7,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,4,8,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,4,6,8,2,3,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,4,7,8,2,1,3,6]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[5,6,1,3,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[5,3,7,2,1,8,6,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,3,4,8,1,2,7,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,6,3,1,5,8,7,4]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[6,1,3,5,8,7,4,2]=>[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>3
[2,4,1,8,7,6,3,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[8,5,4,7,6,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,2,4,6,1,3,7,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[1,7,4,3,5,2,8,6]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[5,3,6,2,1,8,4,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,3,8,6,2,7,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,1,6,8,2,7,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[8,3,4,5,1,6,7,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[7,8,1,3,5,4,6,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[5,2,4,1,8,3,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,2,7,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,6,2,4,3,8,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,3,2,4,1,7,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[4,1,8,6,3,5,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[5,4,8,6,3,7,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,5,2,3,1,8,7,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[6,4,7,5,3,8,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,7,4,8,3,1,6,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[2,5,3,6,1,8,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[1,6,4,7,3,5,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[3,5,6,4,8,2,1,7]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[6,4,5,8,2,3,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,3,2,7,5,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,3,8,2,4,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,3,7,8,1,5,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,5,2,8,1,6,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,8,5,7,1,3,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,7,2,6,4,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,1,4,7,2,8,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[2,8,3,6,1,7,4,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[6,3,5,8,1,7,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[3,5,4,8,6,1,7,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[2,7,5,1,4,8,3,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,1,3,2,6,8,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,3,5,2,8,1,6,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[1,7,3,8,2,4,6,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[6,1,3,8,4,2,7,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[3,6,1,5,8,4,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[6,3,5,8,2,4,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[2,8,7,1,4,6,3,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,5,6,2,8,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[6,3,8,1,2,5,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[1,7,4,6,3,2,8,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[8,4,7,2,5,3,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,3,4,5,2,1,7,6]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[5,3,6,7,2,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[7,1,3,6,5,2,8,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[6,1,7,5,4,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,7,3,6,5,1,8,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[2,4,3,8,7,1,6,5]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[6,8,7,5,4,3,1,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>6
[5,6,4,7,3,8,2,9,1,10]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[5,4,2,3,6,1,8,7]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,5,8,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[2,4,7,1,6,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[2,3,7,1,6,5,4,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,5,7,1,4,3,6,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[5,7,3,2,8,1,4,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[5,4,7,8,1,3,6,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[2,4,7,1,6,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[8,7,5,1,4,2,6,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[8,4,5,1,3,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,5,1,4,7,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,3,7,1,5,2,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,3,2,7,4,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,3,2,5,7,1,4,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[4,6,1,5,2,7,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,6,1,8,5,4,3,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,5,6,2,4,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[4,5,3,7,1,6,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,7,1,4,8,5,6,3]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[8,4,6,2,5,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,3,7,6,2,1,5,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[8,5,2,7,6,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,3,7,6,2,5,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[2,8,5,1,4,7,3,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[8,1,7,6,3,4,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,3,5,2,4,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[1,7,8,4,5,3,6,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[5,7,4,2,1,6,3,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,6,2,1,8,3,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[1,7,4,5,2,8,6,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[7,3,2,1,5,6,4,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[2,6,7,3,1,5,4,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[7,8,6,3,1,5,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[7,1,5,6,4,3,2,8]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[4,1,3,8,6,2,7,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[5,6,3,2,8,1,7,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,6,4,1,5,7,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,1,2,3,4,5,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[5,1,2,3,4,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[4,1,2,3,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>9
[3,5,2,8,4,7,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,8,4,2,7,3,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[5,4,6,8,3,1,7,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[2,4,3,1,6,5,8,7,10,9]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]=>5
[1,6,3,7,2,5,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[2,8,1,3,5,7,4,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[1,6,3,5,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[1,6,3,5,2,8,7,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[4,3,8,2,6,5,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,7,1,4,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,7,1,5,2,6,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[8,4,2,3,1,6,5,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,4,5,2,8,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[2,6,3,1,7,4,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[1,4,3,7,2,8,6,5]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[1,7,4,6,3,8,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[6,2,7,8,1,3,5,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,1,8,4,3,7,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[2,1,4,3,6,5,8,10,9,7]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]=>5
[2,1,4,3,6,8,7,5,10,9]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]=>5
[2,1,4,6,5,3,8,7,10,9]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]=>5
[2,1,4,6,5,3,8,10,9,7]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]=>4
[2,4,3,1,6,5,8,10,9,7]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]=>4
[2,4,3,1,6,8,7,5,10,9]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]=>4
[2,1,4,3,6,5,8,7,10,12,11,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]]=>6
[2,1,4,3,6,5,8,10,9,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]]=>6
[2,1,4,3,6,8,7,5,10,9,12,11]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,6,8,7,5,10,12,11,9]=>[[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]]=>5
[2,1,4,6,5,3,8,7,10,9,12,11]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,6,5,3,8,7,10,12,11,9]=>[[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]]=>5
[2,1,4,6,5,3,8,10,9,7,12,11]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]]=>5
[2,4,3,1,6,5,8,7,10,9,12,11]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,4,3,1,6,5,8,7,10,12,11,9]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]=>5
[2,4,3,1,6,5,8,10,9,7,12,11]=>[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]=>5
[2,4,3,1,6,8,7,5,10,9,12,11]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]=>5
[2,4,3,1,6,8,7,5,10,12,11,9]=>[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]=>4
[4,5,3,8,7,12,2,11,9,10,1,6]=>[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>5
[8,1,6,7,2,5,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[6,8,2,5,3,4,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,1,8,7,4,5,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[4,8,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[1,8,4,7,3,2,6,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[1,6,4,7,3,2,8,5]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[8,5,7,2,3,6,4,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[7,5,2,1,6,8,3,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[6,5,8,2,1,7,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,1,3,2,6,8,7,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[6,4,5,8,3,1,7,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,6,2,1,5,7,3,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[8,7,2,4,1,5,3,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,6,2,8,4,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,3,7,1,2,8,4,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,3,8,7,2,5,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[9,7,8,5,4,3,2,1,6]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[8,2,4,6,1,7,5,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[3,6,4,8,1,5,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,6,8,4,1,5,2,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[4,6,1,3,2,8,7,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[7,1,4,8,2,3,6,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[8,3,7,2,1,6,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[8,4,7,6,2,5,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[10,1,9,2,8,3,7,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[1,7,5,3,6,2,8,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[5,4,7,8,1,6,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[5,3,6,8,1,2,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>2
[8,7,6,4,2,1,5,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>7
[5,8,3,7,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,3,8,2,4,6,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,7,8,5,2,3,1,6]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[7,1,2,3,4,5,8,6,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[8,5,4,6,1,2,7,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[7,4,8,3,1,2,6,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[4,1,7,6,3,8,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[7,2,5,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[8,3,6,7,2,4,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>4
[4,5,1,3,7,6,8,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[2,6,4,1,5,8,7,3]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[3,5,1,4,6,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,1,5,4,7,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[3,8,1,7,4,2,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,1,8,5,4,7,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[5,1,3,4,2,6,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[8,6,3,1,5,7,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[4,3,5,1,6,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,2,6,1,5,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,4,8,3,1,7,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,8,1,7,6,5,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[4,3,8,7,2,6,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[2,8,4,7,6,1,5,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[5,4,8,2,1,3,7,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[2,6,8,3,1,7,4,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,5,4,8,1,7,3,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[7,5,2,4,8,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[7,6,2,5,3,8,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[7,8,1,3,6,4,5,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[5,7,8,1,6,3,2,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[7,5,2,4,8,3,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[1,7,5,8,2,4,6,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[7,8,1,6,3,5,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,8,1,6,2,5,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[5,6,1,4,3,8,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,6,8,1,2,3,7,4]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[4,8,1,2,7,6,5,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[5,7,8,4,2,1,3,6]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>6
[1,6,4,5,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[6,1,3,7,2,8,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[6,4,5,8,3,7,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[3,8,1,6,4,2,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,1,5,7,6,2,8,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[2,4,3,7,6,1,8,5]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[3,1,7,6,5,2,8,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[1,4,7,6,8,3,2,5]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>3
[3,1,5,2,8,7,6,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[2,6,1,8,7,4,3,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[1,7,4,8,3,5,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[5,7,8,1,4,2,6,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,5,1,8,6,3,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,8,1,7,5,3,6,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,8,2,6,3,5,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[4,1,8,5,3,6,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[3,1,5,8,2,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,1,8,5,4,6,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,1,8,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[4,3,5,7,1,6,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[6,5,8,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,5,1,8,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[3,5,1,8,7,6,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,1,3,4,5,6,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[2,5,6,4,8,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[2,4,3,6,5,8,7,10,9,12,11,1]=>[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.]=>2
[4,7,2,5,6,3,1,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[4,3,8,5,2,7,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[2,8,4,5,1,6,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[3,5,1,8,7,4,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[5,1,8,6,4,2,7,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[5,4,6,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,7,8,1,3,4,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[2,1,7,6,8,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[6,4,7,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,3,2,7,8,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[2,7,3,1,8,5,4,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[1,5,4,7,2,8,3,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[6,8,7,1,3,4,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,7,8,6,1,4,2,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,7,8,5,1,4,6,3]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[5,7,3,4,2,1,6,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[2,8,5,1,4,3,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[5,4,6,2,7,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,3,7,2,8,5,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,3,6,2,8,5,1,7]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,3,7,2,8,6,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,3,6,2,4,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,5,6,2,3,8,4,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[7,4,2,5,6,3,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[2,4,8,3,7,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[8,5,6,4,1,3,2,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,7,3,2,8,4,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[4,5,8,1,3,2,6,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[4,7,8,1,6,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,5,6,1,8,7,3,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,5,6,3,1,4,2,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[3,5,1,8,6,4,2,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[4,2,5,1,3,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,1,7,5,4,2,6,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[4,5,1,7,6,3,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[6,5,2,8,7,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[7,5,2,8,6,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[8,6,7,2,5,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,6,2,7,5,4,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[4,3,7,2,8,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,7,3,4,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,5,7,1,2,8,3,4]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,8,5,2,4,3,1,7]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[3,4,2,8,6,7,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,6,2,5,1,7,8,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,1,4,2,5,8,6,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[6,2,3,7,1,4,5,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[6,1,3,4,2,5,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[5,1,3,6,2,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[1,5,6,3,7,8,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>2
[7,3,5,6,1,8,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,1,3,8,2,5,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[5,7,6,1,3,8,2,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[1,6,3,7,2,4,5,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[5,3,2,4,8,1,7,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,3,7,2,6,5,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,4,2,1,8,3,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,4,8,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[2,5,6,3,1,8,4,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,7,4,1,5,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,8,6,2,4,1,3,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[5,6,1,8,2,3,7,4]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[3,7,8,1,6,4,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[5,7,1,8,6,4,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,8,1,5,6,4,2,3]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,1,8,5,6,4,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[2,7,4,6,5,1,8,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[6,8,7,5,2,1,4,3]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[6,5,3,7,4,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[1,8,4,7,2,3,6,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[8,7,2,4,1,3,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,2,3,1,7,4,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,6,1,8,3,7,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,8,1,6,5,3,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,1,5,7,6,3,8,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[5,4,8,2,7,6,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[4,3,2,6,5,8,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,3,6,5,2,8,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,5,6,4,2,8,1,7]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[3,5,4,8,1,7,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[5,3,6,8,1,4,7,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[8,6,7,1,2,5,3,4]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,8,1,7,3,4,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,2,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>11
[7,8,3,5,2,1,6,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,3,7,5,2,4,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[3,1,7,2,5,8,6,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[7,1,6,8,2,5,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[7,5,8,6,4,1,3,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[2,3,1,8,4,6,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,3,1,7,6,8,4,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,10,4,1,6,3,8,5,9,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]=>5
[6,8,5,2,7,4,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,5,8,2,6,4,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,3,2,8,1,7,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[2,1,3,4,5,6,8,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[2,3,4,5,6,8,7,9,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>2
[2,6,8,7,1,3,5,4]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[3,7,6,1,4,5,2,8]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,4,5,3,1,8,6,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[2,6,8,4,5,3,1,7]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>3
[4,2,5,1,6,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,5,7,2,4,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,8,5,2,7,1,3,4]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[7,1,8,5,3,4,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,8,4,3,1,5,2,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,3,5,2,6,8,1,4]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[1,8,3,7,2,4,6,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[5,4,2,8,7,6,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[6,8,5,2,7,1,4,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,8,5,7,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[6,5,8,2,7,4,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[4,1,7,6,5,8,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[6,8,5,2,7,3,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[1,6,7,5,8,3,4,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>2
[6,1,4,7,8,2,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[3,5,1,6,4,8,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[5,3,8,4,2,7,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[8,7,2,4,6,3,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[6,7,5,4,8,1,3,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,5,6,2,4,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,7,1,4,3,2,8,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,6,1,5,7,4,8,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[5,8,2,4,1,6,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,8,2,4,6,3,1,7]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[5,8,2,4,3,6,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[5,8,1,4,6,2,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,6,2,4,5,3,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,6,2,4,5,3,1,7]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,3,6,2,4,5,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,3,6,7,2,1,4,5]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[8,4,6,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[8,4,7,2,1,3,6,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[8,4,2,1,5,3,7,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[2,1,5,8,7,3,6,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[2,8,7,1,5,3,6,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,6,8,1,5,3,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[3,8,1,6,4,5,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,8,5,1,7,4,6,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[4,1,8,6,3,7,5,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3
[3,5,4,1,7,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,5,4,1,8,6,7,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[5,1,7,8,2,4,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[8,5,4,6,1,7,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,3,2,4,7,1,8,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,5,2,4,3,7,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,6,5,7,1,4,8,3]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[3,5,1,7,8,4,6,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,1,2,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>8
[5,7,2,6,1,4,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,8,3,1,7,6,4,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[4,7,8,5,1,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,5,1,4,2,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[3,5,1,4,2,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[6,5,2,4,1,3,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[3,6,8,4,5,2,1,7]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[8,7,2,5,1,4,3,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,4,2,7,5,3,1,6]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[7,3,8,2,4,6,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,2,5,1,8,3,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,4,2,8,3,5,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[4,5,7,1,8,6,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[7,3,2,6,1,4,8,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,3,4,2,7,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,4,7,1,2,5,3,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,5,6,7,2,1,4,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[2,5,6,3,8,4,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[4,1,3,8,5,2,7,6]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[5,7,8,1,3,2,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[1,7,4,8,3,6,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[8,4,7,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,4,6,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[6,3,4,2,7,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,5,1,6,7,3,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,5,1,8,3,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,3,4,6,2,8,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,5,4,1,6,8,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[3,6,5,1,4,8,2,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[8,6,4,3,7,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>7
[1,6,4,3,8,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[7,1,8,4,5,3,6,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[4,3,2,7,5,1,8,6]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,5,3,8,1,6,7,4]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[5,6,3,4,1,7,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[6,8,2,3,1,5,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,4,8,7,2,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,5,7,2,1,8,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[3,6,8,4,1,7,2,5]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[7,3,4,5,1,6,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[8,4,2,7,6,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,7,8,1,6,2,4,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[4,6,1,3,5,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[5,8,4,7,1,3,6,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,6,1,4,8,3,2,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[3,6,4,1,7,2,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[4,3,2,6,1,7,5,8,9]=>[[[[.,.],.],[.,.]],[[.,.],[.,[.,.]]]]=>7
[5,4,3,2,7,1,8,6,9,10]=>[[[[[.,.],.],.],[.,.]],[[.,.],[.,[.,.]]]]=>8
[8,4,6,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[2,7,1,6,8,4,5,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[1,5,4,7,2,6,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[4,7,8,6,2,5,1,3]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[8,1,5,6,2,4,3,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,4,5,1,2,7,3,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[5,4,6,1,3,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,1,4,8,2,7,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[7,3,4,5,1,8,6,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[6,3,2,5,7,4,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[5,6,7,1,8,4,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,7,1,2,8,6,5,4]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[2,7,8,1,6,5,3,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,5,1,8,4,7,6,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[7,5,8,1,6,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[6,8,5,4,7,1,3,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[1,8,5,4,6,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[1,7,5,4,6,2,8,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[6,4,2,3,1,8,7,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[5,7,8,1,2,4,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[6,5,7,4,1,3,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[4,6,1,8,3,5,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,1,6,8,2,5,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[5,7,4,2,1,8,6,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[7,4,6,3,8,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[6,4,8,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,4,6,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,8,4,2,7,1,3,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[4,2,5,7,1,6,8,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[5,6,2,3,1,7,8,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,5,2,3,1,6,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,6,2,3,1,5,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[1,6,3,4,2,7,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[5,1,3,4,2,7,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,1,3,4,2,7,5,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,1,2,3,4,5,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[9,4,6,1,8,3,5,7,2]=>[[[.,.],[.,.]],[[[.,.],[.,[.,.]]],.]]=>4
[7,5,2,6,1,8,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,5,6,8,4,1,3,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[8,3,2,6,4,5,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[8,5,6,2,7,1,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,7,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[3,4,2,8,1,6,7,5]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,2,6,1,4,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,3,7,4,2,8,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[6,5,7,3,1,4,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,4,5,6,2,1,8,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,4,5,2,7,1,8,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,3,4,8,2,5,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[4,7,2,5,1,6,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[3,5,4,8,7,1,6,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[8,7,2,1,5,3,6,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[5,6,4,2,1,8,3,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,8,1,3,2,7,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,5,8,2,7,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[4,6,1,3,7,8,5,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[6,3,5,2,7,1,4,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,5,2,6,7,1,4,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,4,5,3,1,8,7,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[2,8,6,1,5,4,7,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[8,6,4,7,1,3,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,4,1,6,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,7,1,4,6,3,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,5,2,4,6,3,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[6,1,4,5,2,7,3,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,1,5,8,2,7,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[7,1,2,3,6,4,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>7
[2,8,4,6,5,1,7,3]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[7,4,2,8,6,5,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[6,5,8,2,7,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,5,8,2,1,6,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[4,8,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,4,1,8,7,6,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[4,6,1,3,2,8,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,8,2,4,5,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[8,3,6,4,2,7,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,4,3,7,6,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,6,3,7,1,4,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,3,2,1,6,4,7,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[6,7,2,5,8,4,1,3]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[7,2,5,8,1,4,6,3]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[3,6,8,4,2,7,1,5]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[8,5,4,1,6,2,7,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[7,8,6,2,1,5,4,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[1,6,7,5,8,4,9,3,10,2]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>2
[4,8,1,6,3,7,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[2,7,8,3,6,4,5,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[4,6,1,8,5,3,2,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[5,1,4,8,2,6,3,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[1,4,7,8,6,3,5,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>2
[8,3,6,1,2,7,4,5]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[6,8,1,5,4,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,7,2,5,4,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,5,2,7,3,6,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>4
[8,4,2,7,6,5,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[4,5,2,8,3,7,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,7,5,1,6,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[7,5,2,8,3,1,6,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[2,5,4,1,8,3,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[6,7,1,5,2,8,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,2,3,8,1,5,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[2,5,7,4,8,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[8,5,6,2,4,7,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,3,7,1,2,8,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,8,1,6,2,5,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[7,1,4,2,6,8,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[6,7,4,2,8,1,3,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>6
[2,1,4,3,6,5,9,7,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,7,5,8,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,7,5,9,6,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,8,5,9,6,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,5,3,6,4,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,5,3,6,4,9,7,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,5,3,7,4,8,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,5,3,7,4,9,6,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,5,3,8,4,9,6,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,6,3,7,4,8,5,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,6,3,7,4,9,5,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,6,3,8,4,9,5,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,7,3,8,4,9,5,10,6]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,4,2,6,5,9,7,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,4,2,7,5,8,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,4,2,7,5,9,6,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,4,2,8,5,9,6,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,5,2,6,4,9,7,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,5,2,8,4,9,6,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,6,2,7,4,8,5,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,6,2,7,4,9,5,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,6,2,8,4,9,5,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[3,1,7,2,8,4,9,5,10,6]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,5,2,6,3,9,7,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,5,2,7,3,8,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,5,2,7,3,9,6,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,5,2,8,3,9,6,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,6,2,7,3,8,5,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,6,2,7,3,9,5,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,6,2,8,3,9,5,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,7,2,8,3,9,5,10,6]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[5,1,6,2,7,3,9,4,10,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[5,1,6,2,8,3,9,4,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[5,1,7,2,8,3,9,4,10,6]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,6,5,8,7,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,6,5,9,7,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,6,5,9,7,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,6,5,10,7,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,7,5,8,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,7,5,8,6,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,7,5,9,6,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,7,5,9,6,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,7,5,10,6,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,8,5,9,6,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,8,5,9,6,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,8,5,10,6,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,9,5,10,6,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,6,4,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,6,4,8,7,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,6,4,9,7,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,6,4,9,7,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,6,4,10,7,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,7,4,8,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,7,4,8,6,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,7,4,9,6,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,7,4,9,6,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,7,4,10,6,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,8,4,9,6,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,8,4,9,6,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,8,4,10,6,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,5,3,9,4,10,6,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,7,4,8,5,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,7,4,8,5,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,7,4,9,5,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,7,4,9,5,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,7,4,10,5,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,8,4,9,5,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,8,4,9,5,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,8,4,10,5,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,9,4,10,5,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,7,3,8,4,9,5,10,6,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,7,3,8,4,9,5,11,6,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,7,3,8,4,10,5,11,6,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,7,3,9,4,10,5,11,6,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,8,3,9,4,10,5,11,6,12,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,6,5,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,6,5,8,7,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,6,5,9,7,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,6,5,9,7,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,6,5,10,7,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,7,5,8,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,7,5,8,6,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,7,5,9,6,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,7,5,9,6,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,7,5,10,6,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,8,5,9,6,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,8,5,9,6,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,8,5,10,6,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,4,2,9,5,10,6,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,6,4,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,6,4,8,7,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,6,4,9,7,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,6,4,9,7,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,6,4,10,7,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,7,4,8,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,7,4,8,6,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,7,4,9,6,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,7,4,9,6,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,7,4,10,6,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,8,4,9,6,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,8,4,9,6,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,8,4,10,6,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,5,2,9,4,10,6,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,7,4,8,5,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,7,4,8,5,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,7,4,9,5,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,7,4,9,5,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,7,4,10,5,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,8,4,9,5,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,8,4,9,5,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,8,4,10,5,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,6,2,9,4,10,5,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,7,2,8,4,9,5,10,6,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,7,2,8,4,9,5,11,6,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,7,2,8,4,10,5,11,6,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,7,2,9,4,10,5,11,6,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[3,1,8,2,9,4,10,5,11,6,12,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,6,3,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,6,3,8,7,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,6,3,9,7,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,6,3,9,7,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,6,3,10,7,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,7,3,8,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,7,3,8,6,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,7,3,9,6,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,7,3,9,6,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,7,3,10,6,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,8,3,9,6,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,8,3,9,6,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,8,3,10,6,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,5,2,9,3,10,6,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,7,3,8,5,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,7,3,8,5,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,7,3,9,5,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,7,3,9,5,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,7,3,10,5,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,8,3,9,5,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,8,3,9,5,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,8,3,10,5,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,6,2,9,3,10,5,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,7,2,8,3,9,5,10,6,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,7,2,8,3,9,5,11,6,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,7,2,8,3,10,5,11,6,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,7,2,9,3,10,5,11,6,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,8,2,9,3,10,5,11,6,12,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,7,3,8,4,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,7,3,8,4,11,9,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,7,3,9,4,10,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,7,3,9,4,11,8,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,7,3,10,4,11,8,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,8,3,9,4,10,7,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,8,3,9,4,11,7,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,8,3,10,4,11,7,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,6,2,9,3,10,4,11,7,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,7,2,8,3,9,4,10,6,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,7,2,8,3,9,4,11,6,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,7,2,8,3,10,4,11,6,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,7,2,9,3,10,4,11,6,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[5,1,8,2,9,3,10,4,11,6,12,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,7,2,8,3,9,4,10,5,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,7,2,8,3,9,4,11,5,12,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,7,2,8,3,10,4,11,5,12,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,7,2,9,3,10,4,11,5,12,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,8,2,9,3,10,4,11,5,12,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[7,6,2,4,8,3,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[6,8,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[6,5,2,8,7,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,8,1,4,2,7,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,4,8,2,1,7,3,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[6,7,4,5,1,3,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[8,7,4,5,1,3,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,2,4,6,1,8,7,5]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[8,1,7,2,4,6,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,8,1,2,6,3,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[5,8,1,2,6,3,7,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[8,4,3,6,1,7,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,6,1,8,3,7,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,5,1,7,6,8,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,1,8,7,5,2,6,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,8,3,1,5,4,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,8,4,1,5,2,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,8,3,1,6,4,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[4,6,1,2,8,3,7,5]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>5
[4,1,3,6,7,2,5,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[5,6,1,4,7,2,3,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,3,2,4,7,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[7,3,2,8,6,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,5,8,2,6,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,4,6,7,3,1,5,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[6,3,5,7,1,2,8,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,8,3,1,7,5,6,4]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[2,7,4,1,5,8,3,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[7,8,1,2,4,6,3,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[7,6,8,1,4,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,8,5,1,6,4,3,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,4,7,1,8,3,6,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,4,5,1,2,8,3,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,6,2,5,3,8,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[6,5,3,8,1,7,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,3,7,1,6,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,1,7,5,6,4,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[6,3,8,7,2,1,5,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[7,4,5,2,8,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,4,5,2,8,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,5,3,4,1,8,2,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,4,5,3,8,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[2,8,3,7,6,1,5,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[4,8,5,1,7,6,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[7,4,8,3,6,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[6,1,8,4,3,5,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[5,2,4,8,1,7,6,3]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[4,6,8,1,2,5,3,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[5,4,8,2,3,1,7,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,3,4,2,6,7,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[7,1,6,2,4,5,3,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,5,8,4,6,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>2
[6,8,1,5,2,7,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,8,1,3,2,5,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,2,5,8,1,3,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,7,3,8,5,1,6,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[2,3,8,4,1,5,7,6]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[8,4,2,3,1,5,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,2,3,4,1,5,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[7,1,6,2,4,8,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,7,8,1,4,3,6,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,5,8,1,3,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,8,1,7,4,5,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[7,3,6,2,5,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,3,2,1,7,8,4,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[4,3,5,8,1,7,6,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[4,6,2,5,1,7,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[2,3,5,1,7,6,4,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,3,1,7,4,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,6,4,7,5,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[3,7,1,6,5,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[4,6,5,1,3,8,7,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[5,4,6,2,1,8,7,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[5,3,8,1,4,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,5,7,6,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[2,4,5,1,8,3,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[4,8,2,6,1,5,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,6,2,7,8,3,1,4]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[3,7,8,5,1,4,6,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[6,4,7,8,1,2,5,3]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,3,2,8,1,7,5,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[1,7,3,5,2,4,8,6]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[4,3,7,2,5,1,6,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[4,6,7,5,1,3,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[8,1,5,2,4,7,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[7,5,8,1,4,2,3,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,4,6,8,3,1,2,5]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>6
[7,3,2,1,5,4,8,6]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[3,7,8,1,2,4,6,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>5
[3,8,2,7,4,5,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,2,6,1,3,5,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,7,3,6,1,2,5,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,7,2,3,6,1,5,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[6,8,1,4,7,3,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[8,5,7,2,6,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,4,7,2,3,6,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[8,1,7,6,4,5,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[2,8,1,5,3,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,6,1,8,2,7,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[8,1,6,4,3,5,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>4
[3,7,4,5,1,6,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[4,6,8,5,1,3,7,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[4,5,1,6,8,3,7,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[1,7,4,5,2,6,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[7,3,2,4,8,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[8,3,2,4,6,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[7,4,6,2,1,3,8,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[8,4,6,3,1,5,2,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,5,2,4,1,3,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[8,2,3,4,1,6,7,5]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[7,4,3,8,1,6,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>5
[7,3,5,2,8,1,4,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[8,4,3,1,7,6,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>5
[4,5,2,7,8,6,1,3]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[2,5,6,1,3,8,7,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[7,2,5,6,1,3,8,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[2,8,3,6,4,1,7,5]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[5,1,8,7,3,2,6,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[8,4,5,2,7,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[7,3,4,2,8,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,3,8,2,7,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[8,3,6,2,7,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[5,8,1,7,2,4,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[6,1,4,2,7,8,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[5,1,3,2,6,8,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[2,4,1,7,5,6,3,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[1,4,3,8,2,5,7,6]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[8,3,2,6,4,1,7,5]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[8,3,2,5,1,4,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[2,1,8,5,4,3,7,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[9,10,6,7,4,5,2,3,1,8]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[4,6,8,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,8,4,5,1,3,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[5,2,3,8,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>6
[1,6,5,7,4,2,8,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>3
[6,4,2,5,7,1,8,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,5,1,3,2,8,6,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[5,4,7,8,3,6,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[8,6,2,7,3,4,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,6,3,2,8,7,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[8,4,2,6,7,1,5,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,6,7,5,1,8,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,5,8,1,2,7,6,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>4
[4,7,1,5,6,3,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[2,3,1,8,7,4,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,4,3,7,8,1,6,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[3,5,8,1,7,4,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[3,7,8,6,1,4,5,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>3
[3,8,1,4,6,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,6,3,4,1,2,7,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[4,8,1,3,6,7,5,2]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>3
[8,1,4,7,5,2,6,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[4,6,1,5,7,2,3,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[8,4,5,3,1,7,2,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,4,5,3,1,8,6,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[3,8,2,6,7,5,1,4]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[2,7,4,8,1,6,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[1,6,4,7,2,5,8,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>3
[2,7,5,1,8,6,3,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[1,7,5,6,4,8,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[2,7,1,5,3,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[2,4,3,8,5,1,7,6]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[8,7,2,6,1,5,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[7,1,3,8,2,6,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[3,5,4,1,6,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,5,1,7,6,2,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,5,8,1,4,2,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[2,8,5,7,1,4,3,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,4,7,2,1,6,3,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[7,4,2,5,3,6,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[5,1,8,6,7,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,9,6,10,5,7,2,4,1,3]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[6,7,4,8,3,5,2,10,1,9]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[10,11,7,8,6,12,5,9,2,4,1,3]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[8,9,5,6,4,10,3,7,2,12,1,11]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>7
[5,4,2,8,1,6,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,4,1,7,5,8,3,9,6,10]=>[[.,[.,.]],[[[.,.],[.,.]],[[.,.],[.,.]]]]=>5
[1,6,3,7,2,4,8,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[8,9,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>8
[8,6,7,5,4,3,2,1,9]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[8,7,9,6,5,4,3,1,2]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[9,7,8,6,5,4,3,1,2]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[7,1,6,5,4,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,8,3,1,6,7,4,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[4,7,3,2,1,6,5,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[5,7,1,4,3,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[6,1,3,4,5,2,7,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[7,2,5,1,3,6,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[3,5,1,7,8,6,2,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[5,4,3,8,1,7,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,6,4,7,3,8,2,10,1,9]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>6
[5,7,8,1,6,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[5,2,7,1,6,3,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[5,8,1,2,4,6,3,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[3,2,7,1,6,4,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,7,3,5,4,1,6,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[7,4,8,3,1,6,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[6,4,8,7,3,5,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[1,3,7,6,8,4,5,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>2
[6,1,5,7,2,8,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,8,1,3,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[2,5,7,1,3,6,4,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[4,5,1,3,8,2,6,7]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[7,3,5,1,4,2,6,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,3,5,2,1,6,4,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[2,5,6,1,4,3,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[6,8,7,5,4,2,1,3]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>6
[2,7,5,1,6,8,3,4]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[1,8,4,7,2,3,5,6]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[6,3,7,1,8,2,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,1,4,3,6,5,10,7,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,8,5,7,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,6,3,5,4,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,6,3,5,4,10,7,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,3,2,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,3,2,6,5,10,7,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,3,2,8,5,7,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,6,5,8,7,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,6,5,10,7,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,8,5,7,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,8,5,7,6,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,5,4,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,5,4,8,7,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,5,4,10,7,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,6,5,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,6,5,8,7,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,6,5,10,7,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,8,5,7,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,8,5,7,6,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,3,7,8,2,5,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,4,3,6,8,1,7,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,6,1,7,3,2,8,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,8,3,5,2,1,6,7]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[4,7,1,6,8,2,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[7,1,8,2,4,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[4,7,3,2,6,5,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[4,3,7,8,2,1,6,5]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>5
[7,3,8,2,5,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,8,4,6,1,3,5,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,8,6,2,1,4,3,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[7,8,6,3,1,2,5,4]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>6
[6,1,5,2,8,7,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>4
[1,7,6,8,3,4,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[8,7,3,6,1,4,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[2,1,5,6,3,8,7,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[1,8,7,3,5,2,6,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>3
[2,4,8,3,6,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[6,7,3,2,8,5,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,4,5,8,1,3,6,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>4
[1,4,3,6,2,5,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[8,5,6,4,1,7,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>5
[4,5,8,1,6,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,7,3,8,2,1,4,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[2,1,4,8,5,3,7,6]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[2,7,3,8,4,1,6,5]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[2,6,3,1,5,4,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[7,4,6,5,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[4,1,3,8,5,7,6,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>3
[4,1,3,7,2,8,6,5]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[4,8,3,2,1,7,5,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[4,7,6,1,5,8,2,3]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[3,6,1,4,5,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[1,7,4,6,3,5,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>3
[4,6,1,8,7,5,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>3
[4,1,7,8,6,5,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>4
[1,3,7,5,8,4,6,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>2
[5,8,1,2,7,6,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>4
[2,8,1,5,6,4,3,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[7,4,2,8,6,5,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]=>4
[5,8,7,3,2,1,6,4]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[8,6,7,2,3,5,4,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[7,3,6,4,2,1,8,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[9,1,2,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[5,1,3,8,2,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[5,7,1,3,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[2,1,4,3,10,5,7,6,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,8,3,5,4,7,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,10,3,5,4,7,6,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[4,1,3,2,10,5,7,6,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[6,1,3,2,5,4,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[6,1,3,2,5,4,10,7,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[8,1,3,2,5,4,7,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>6
[2,1,4,3,6,5,12,7,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,10,5,7,6,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,4,3,12,5,7,6,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,6,3,5,4,12,7,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,8,3,5,4,7,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,8,3,5,4,7,6,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,10,3,5,4,7,6,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[2,1,12,3,5,4,7,6,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,6,5,12,7,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,10,5,7,6,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,1,3,2,12,5,7,6,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,3,2,5,4,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,3,2,5,4,8,7,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,3,2,5,4,10,7,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[6,1,3,2,5,4,12,7,9,8,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[8,1,3,2,5,4,7,6,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[8,1,3,2,5,4,7,6,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[10,1,3,2,5,4,7,6,9,8,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>7
[4,7,6,1,3,2,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,8,1,3,5,6,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[7,6,3,8,1,5,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,1,3,6,2,5,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,7,8,1,5,4,3,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[8,1,3,6,5,2,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,1,3,8,5,2,6,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[8,6,2,4,5,1,7,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[4,1,7,6,5,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[2,6,3,1,7,8,4,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>4
[2,1,7,8,3,5,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[1,5,8,6,7,4,2,3]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>3
[4,8,6,3,2,1,7,5]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[4,5,1,7,2,8,6,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[6,4,7,2,5,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,3,5,2,4,7,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[4,5,1,8,6,2,7,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[4,1,2,3,5,6,8,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>8
[3,1,6,7,2,8,5,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>4
[6,8,3,2,7,5,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[7,3,6,8,1,2,5,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[4,1,5,7,2,6,3,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,4,7,5,2,3,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[7,4,3,8,6,1,5,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[3,6,4,1,7,2,8,5,10,9]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]=>5
[3,6,4,1,8,2,9,5,10,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]=>5
[1,8,3,5,2,6,4,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[5,3,8,6,2,4,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[4,2,8,1,3,7,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[8,2,4,1,3,7,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>6
[4,7,2,5,3,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[3,5,7,4,2,8,1,6]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[4,6,5,7,1,3,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[6,4,8,1,5,2,3,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[7,2,4,1,6,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[2,6,1,5,3,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[4,6,7,1,3,2,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,7,1,5,4,3,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[2,5,1,6,4,3,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[3,6,2,8,5,7,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[2,5,1,8,3,6,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[8,3,4,2,7,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[5,1,4,8,2,3,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[4,5,1,3,2,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[7,1,3,5,4,2,8,6]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[7,3,2,6,5,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,4,7,2,3,8,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[6,1,8,5,7,4,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>4
[5,1,6,8,7,2,4,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[5,4,6,2,8,7,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[4,5,7,6,1,2,8,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[2,5,4,8,6,10,9,1,7,3]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]=>3
[7,4,8,6,3,5,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[5,8,4,6,2,1,7,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>5
[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>2
[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>2
[5,7,3,2,8,4,1,6]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[2,8,6,1,7,5,3,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[2,6,8,1,7,5,3,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[1,6,5,9,2,7,4,8,3]=>[.,[[[.,.],[.,.]],[[[.,.],[.,.]],.]]]=>3
[4,3,8,5,2,6,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[4,8,3,2,6,1,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[8,5,3,4,1,7,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[8,5,2,4,6,1,3,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>6
[6,4,7,2,1,3,8,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[3,1,8,7,6,2,5,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[1,5,7,6,8,4,2,3]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>3
[2,7,1,8,6,5,3,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,6,8,2,4,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[7,4,5,3,8,1,6,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[8,7,2,6,4,5,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[2,7,1,5,6,4,8,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[2,8,1,5,6,4,7,3]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>3
[3,7,2,8,1,5,6,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>4
[7,3,2,8,1,4,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,4,7,6,2,1,8,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>5
[4,7,1,8,5,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>6
[6,4,2,3,1,7,5,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[3,4,6,1,8,2,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>4
[6,4,5,2,7,1,3,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[7,4,3,5,1,6,2,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[6,4,3,7,1,8,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,6,1,7,2,4,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>5
[4,6,1,5,2,8,7,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>4
[4,3,6,2,5,8,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[8,7,9,6,5,4,2,1,3]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>8
[8,9,7,6,5,4,2,1,3]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>8
[7,6,8,2,1,5,3,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>6
[8,6,2,5,1,3,7,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[5,7,1,8,3,2,6,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[5,8,6,4,2,1,7,3]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[2,6,1,8,4,7,5,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[2,7,6,1,5,3,8,4]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[3,7,4,6,1,5,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>3
[4,6,7,5,8,2,1,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>4
[2,5,7,6,4,1,8,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>3
[6,1,3,7,2,8,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>5
[6,5,2,3,7,1,8,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>5
[2,3,8,7,1,4,6,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>4
[5,3,2,7,6,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[5,6,4,2,8,7,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>5
[5,7,4,2,6,1,8,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[4,9,3,10,5,7,1,8,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>5
[5,10,7,1,8,2,4,3,9,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]=>5
[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>2
[7,1,3,11,8,2,5,12,9,4,10,6]=>[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]]=>5
[5,8,1,6,4,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>4
[3,6,5,1,8,7,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>3
[4,7,1,6,8,5,2,3]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[5,8,7,1,6,4,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>4
[1,7,3,8,2,5,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>4
[5,7,1,6,4,2,8,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>4
[2,3,6,1,7,5,4,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[6,7,5,4,1,3,2,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,2,7,1,4,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[8,3,2,6,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[1,6,4,8,2,3,5,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>5
[7,3,8,2,4,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>6
[6,3,7,8,1,2,5,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>5
[5,7,1,6,8,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[6,8,4,2,1,7,3,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>6
[6,3,2,8,1,7,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,7,4,8,3,1,2,6]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>6
[5,7,6,1,8,2,4,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>4
[2,7,8,5,1,4,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[3,6,8,5,1,4,2,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>4
[6,1,5,4,7,3,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[8,7,2,3,1,6,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[5,3,2,8,7,1,6,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>5
[4,1,3,6,5,2,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4
[4,6,3,2,5,1,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>5
[2,4,3,8,6,1,7,5]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>3
[6,1,3,2,5,8,7,4]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4
[1,8,5,6,2,3,7,4]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[5,3,7,8,2,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,7,1,3,6,2,4,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>5
[4,7,1,3,2,5,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>5
[8,4,2,7,1,3,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>6
[3,8,2,6,4,7,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>4
[8,9,7,6,4,3,2,1,5]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>8
[5,7,1,8,6,3,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>4
[7,4,5,8,2,3,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[5,3,6,8,2,4,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[7,3,6,8,1,5,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>4
[7,5,8,2,4,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>4
[6,5,8,2,3,4,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[2,7,3,1,8,5,6,4]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>3
[8,7,2,6,1,4,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>6
[4,1,3,5,8,2,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>5
[8,6,2,4,3,5,1,7]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[7,6,2,8,4,5,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>5
[6,8,1,5,7,3,2,4]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>4
[4,6,7,5,2,3,1,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>4
[6,4,5,3,8,7,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>5
[8,4,7,5,2,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[6,7,2,4,5,3,1,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>4
[8,1,6,2,5,7,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>5
[6,8,1,2,4,7,3,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>5
[8,3,7,6,2,5,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>4
[6,2,7,1,8,3,4,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>6
[3,4,2,6,1,7,5,8,9]=>[[[.,[.,.]],[.,.]],[[.,.],[.,[.,.]]]]=>6
[4,3,5,2,7,1,8,6,9,10]=>[[[[.,.],[.,.]],[.,.]],[[.,.],[.,[.,.]]]]=>7
[4,6,2,7,5,8,1,9,3,10]=>[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>5
[2,3,8,1,4,6,5,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>5
[8,4,6,3,5,1,7,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[7,3,2,6,8,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[8,4,2,6,7,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[6,1,4,8,2,3,7,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>5
[2,5,7,8,6,4,1,3]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>3
[8,5,6,2,3,7,4,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>4
[9,10,1,7,8,5,6,3,4,2]=>[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>3
[2,6,1,4,7,5,8,3]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[7,1,5,4,6,3,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3
[6,4,7,8,3,5,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[3,7,6,1,4,8,5,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>3
[4,5,8,1,7,3,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>4
[2,7,3,4,1,8,5,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[8,5,2,4,6,3,1,7]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>5
[8,6,2,5,7,3,4,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>4
[5,3,2,7,6,4,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>5
[5,7,3,2,1,8,6,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>5
[5,7,6,3,2,1,8,4]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
[9,10,7,6,5,4,3,2,1,8]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>9
[1,8,3,6,2,4,7,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[6,3,2,1,5,8,4,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>6
[4,3,5,6,2,8,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>5
[6,5,8,3,7,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>5
[2,5,4,7,1,8,3,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[1,3,8,6,7,4,5,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>2
[5,7,1,3,6,4,8,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>3
[8,3,6,5,2,7,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>5
[8,6,2,1,7,3,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>6
[4,3,6,2,5,7,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>5
[5,6,7,1,3,2,4,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>5
[7,1,8,4,3,2,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>4
[1,7,6,8,2,5,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>3
[4,6,5,7,1,8,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>4
[7,4,6,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>4
[1,6,3,4,2,5,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>4
[5,6,1,4,3,8,7,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>3
[5,8,6,4,3,1,7,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>5
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Description
The number of external nodes of a binary tree.
That is, the number of nodes that can be reached from the root by only left steps or only right steps, plus $1$ for the root node itself. A counting formula for the number of external node in all binary trees of size $n$ can be found in [1].
That is, the number of nodes that can be reached from the root by only left steps or only right steps, plus $1$ for the root node itself. A counting formula for the number of external node in all binary trees of size $n$ can be found in [1].
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
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