Identifier
Mp00024: Dyck paths to 321-avoiding permutationPermutations
Mp00235: Permutations descent views to invisible inversion bottomsPermutations
Mp00061: Permutations to increasing tree Binary trees
Images
=>
Cc0005;cc-rep-0Cc0010;cc-rep-3
[1,0]=>[1]=>[1]=>[.,.] [1,0,1,0]=>[2,1]=>[2,1]=>[[.,.],.] [1,1,0,0]=>[1,2]=>[1,2]=>[.,[.,.]] [1,0,1,0,1,0]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]] [1,0,1,1,0,0]=>[2,3,1]=>[3,2,1]=>[[[.,.],.],.] [1,1,0,0,1,0]=>[3,1,2]=>[3,1,2]=>[[.,.],[.,.]] [1,1,0,1,0,0]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]] [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]] [1,0,1,0,1,0,1,0]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]] [1,0,1,0,1,1,0,0]=>[2,4,1,3]=>[4,2,1,3]=>[[[.,.],.],[.,.]] [1,0,1,1,0,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]] [1,0,1,1,0,1,0,0]=>[2,3,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]] [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.] [1,1,0,0,1,0,1,0]=>[3,1,4,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]] [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]] [1,1,0,1,0,0,1,0]=>[3,1,2,4]=>[3,1,2,4]=>[[.,.],[.,[.,.]]] [1,1,0,1,0,1,0,0]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]] [1,1,0,1,1,0,0,0]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]] [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]] [1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]] [1,1,1,0,1,0,0,0]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]] [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]] [1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]] [1,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]] [1,0,1,0,1,1,0,1,0,0]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]] [1,0,1,0,1,1,1,0,0,0]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]] [1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]] [1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]] [1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]] [1,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]] [1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]] [1,0,1,1,1,0,0,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]] [1,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]] [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.] [1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]] [1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]] [1,1,0,0,1,1,0,0,1,0]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]] [1,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]] [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]] [1,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]] [1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]] [1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]] [1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]] [1,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]] [1,1,0,1,1,0,0,0,1,0]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]] [1,1,0,1,1,0,0,1,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,1,0,0,0]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]] [1,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]] [1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]] [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]] [1,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,0,1,0]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,0]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]] [1,1,1,0,1,1,0,0,0,0]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]] [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]] [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]] [1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]] [1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]] [1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]] [1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]] [1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]] [1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]] [1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]] [1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]] [1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,5,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]] [1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,5,1,6,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]] [1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]] [1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]] [1,0,1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]] [1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]] [1,0,1,1,0,0,1,1,0,1,0,0]=>[2,5,1,6,3,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]] [1,0,1,1,0,0,1,1,1,0,0,0]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]] [1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,0,1,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]] [1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]] [1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]] [1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]] [1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]] [1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]] [1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]] [1,0,1,1,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]] [1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]] [1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]] [1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]] [1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]] [1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]] [1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]] [1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]] [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.] [1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]] [1,1,0,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,5,2,6]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]] [1,1,0,0,1,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,5,6,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]] [1,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,5,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]] [1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,5,1,6,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]] [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]] [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,6,4]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,6,2,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]] [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]] [1,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,6,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]] [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]] [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]] [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]] [1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]] [1,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]] [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]] [1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]] [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]] [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]] [1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,6,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]] [1,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]] [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]] [1,1,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,6]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,5,6,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]] [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,6,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]] [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]] [1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]] [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]] [1,1,1,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]] [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]] [1,1,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]] [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]] [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]] [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]] [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,7]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,7,3,5]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>[6,2,7,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,6]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,5,7,3,6]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,7,3,6]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,7]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,6,3,4,7]=>[5,2,6,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,7,4]=>[5,2,1,7,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,5,6,1,3,7,4]=>[6,2,1,7,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,5,1,6,7,3,4]=>[5,2,7,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,6]=>[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,6]=>[5,2,7,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,7,6]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],.],[.,.]]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,1,7,4,6]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,5]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,6,1,3,7,4,5]=>[6,2,1,7,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,6,7,3,4,5]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,5]=>[6,2,7,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,7,5]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,3,6,4,7,5]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5,7]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,4,1,6,2,5,7]=>[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,7,2,5]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,7,2,5]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>[6,7,3,4,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,7,2,5,6]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,4,1,7,2,5,6]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,7,6]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,7,6]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,4,5,7,2,6]=>[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,4,1,5,7,2,6]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,4,5,1,7,2,6]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,6,7]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,6,7]=>[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,7]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,7]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,5,6,2,4,7]=>[3,6,1,2,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,6,7,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,7,4]=>[5,1,3,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,5,6,1,2,7,4]=>[6,1,3,7,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,7,2,4]=>[3,7,1,2,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,7,2,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6]=>[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6]=>[5,7,3,2,1,4,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,5]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,5]=>[6,1,3,7,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,5]=>[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,7,5]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,4,7,5]=>[3,1,2,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,4,6,2,7,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,6]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,5,1,2,6,3,7]=>[5,1,6,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7]=>[4,6,2,1,5,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,7,3]=>[5,1,7,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,5,6,1,2,7,3]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,7,2,3]=>[4,7,2,1,5,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3]=>[5,7,2,4,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>[6,7,2,4,5,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,6]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,7,2,3,6]=>[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,5,1,7,2,3,6]=>[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,7,6]=>[4,5,2,1,3,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6]=>[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>[4,5,2,1,3,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,7]=>[4,1,6,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,6,7,3]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,7,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,5,6,2,7,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5]=>[4,6,7,1,3,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,5]=>[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,5]=>[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5]=>[6,7,2,4,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5]=>[4,6,2,1,7,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,7,5]=>[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5]=>[4,1,7,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,7,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,[.,.]],.],.],[.,.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,7,2,3,5,6]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,6]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4]=>[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,4]=>[6,1,7,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,4]=>[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,4]=>[6,7,2,3,5,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4]=>[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,7,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,6,3,7,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,7,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,6,7,3,4]=>[5,1,7,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7]=>[5,1,6,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,3,6,7,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,7,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,7,2,3,4,6]=>[5,7,2,3,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,6]=>[5,1,7,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5]=>[6,7,2,3,4,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,5]=>[6,1,7,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,5]=>[6,1,2,7,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,7,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,8,7]=>[2,1,6,4,3,5,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,8,7]=>[6,2,1,4,3,5,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,8,5,7]=>[4,2,1,3,8,6,5,7]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,7]=>[4,2,6,1,8,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,6,8,3,5,7]=>[2,1,8,4,3,6,5,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,4,1,6,8,3,5,7]=>[4,2,8,1,3,6,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,4,6,1,8,3,5,7]=>[6,2,8,4,3,1,5,7]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,4,1,3,6,5,7,8]=>[4,2,1,3,6,5,7,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,6,3,5,7,8]=>[2,1,6,4,3,5,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,4,1,6,3,5,7,8]=>[4,2,6,1,3,5,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,6,1,3,5,7,8]=>[6,2,1,4,3,5,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,8]=>[4,2,6,1,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,6,7,1,3,5,8]=>[7,2,1,4,3,6,5,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,6,3,7,8,5]=>[2,1,6,4,8,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,3,8,5]=>[2,1,7,4,8,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,4,1,6,7,3,8,5]=>[4,2,7,1,8,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,4,6,1,7,3,8,5]=>[6,2,7,4,8,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,4,6,1,7,8,3,5]=>[6,2,8,4,3,1,7,5]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,8,3,5]=>[7,2,8,4,3,6,1,5]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,7,5,8,6]=>[4,2,1,3,7,8,5,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,4,7,3,5,8,6]=>[2,1,7,4,3,8,5,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,4,1,7,3,5,8,6]=>[4,2,7,1,3,8,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,5,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,7,8,5,6]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,7,3,8,5,6]=>[2,1,7,4,8,5,3,6]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,4,1,7,3,8,5,6]=>[4,2,7,1,8,5,3,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,7,8,3,5,6]=>[2,1,8,4,3,5,7,6]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,7,8,3,5,6]=>[4,2,8,1,3,5,7,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,4,7,1,8,3,5,6]=>[7,2,8,4,3,5,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>[8,2,1,4,3,5,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,4,7,1,3,5,6,8]=>[7,2,1,4,3,5,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,8]=>[4,2,5,1,3,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,3,6,8]=>[5,2,7,4,1,3,6,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,5,7,8,6]=>[4,2,1,3,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,7,8,6]=>[2,1,5,4,3,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,7,8,6]=>[4,2,5,1,3,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,5,1,3,7,8,6]=>[5,2,1,4,3,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,5,7,3,8,6]=>[2,1,7,4,5,8,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,1,5,7,3,8,6]=>[4,2,7,1,5,8,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,1,7,3,8,6]=>[5,2,7,4,1,8,3,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,8,6]=>[7,2,1,4,5,8,3,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,4,5,7,8,3,6]=>[2,1,8,4,5,3,7,6]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,4,5,1,7,8,3,6]=>[5,2,8,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,4,5,7,1,8,3,6]=>[7,2,8,4,5,3,1,6]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,8,5,6,7]=>[4,2,1,3,8,5,6,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,8,3,5,6,7]=>[4,2,8,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,6,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,3,5,8,6,7]=>[4,2,1,3,5,8,6,7]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,8,6,7]=>[4,2,5,1,3,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,4,5,8,3,6,7]=>[2,1,8,4,5,3,6,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,5,8,3,6,7]=>[4,2,8,1,5,3,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,5,1,8,3,6,7]=>[5,2,8,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,8,7]=>[4,2,5,1,3,6,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,8,7]=>[4,2,6,1,5,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,8,7]=>[5,2,6,4,1,3,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,1,5,6,8,3,7]=>[4,2,8,1,5,6,3,7]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,5,1,6,8,3,7]=>[5,2,8,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,6,1,8,3,7]=>[6,2,8,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7,8]=>[4,2,5,1,3,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,4,5,1,3,6,7,8]=>[5,2,1,4,3,6,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,5,6,3,7,8]=>[4,2,6,1,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,4,5,1,6,3,7,8]=>[5,2,6,4,1,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,4,5,6,1,3,7,8]=>[6,2,1,4,5,3,7,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,1,5,6,7,3,8]=>[4,2,7,1,5,6,3,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,4,5,1,6,7,3,8]=>[5,2,7,4,1,6,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,4,5,6,1,7,3,8]=>[6,2,7,4,5,1,3,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,4,5,6,7,1,3,8]=>[7,2,1,4,5,6,3,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,4,1,5,6,7,8,3]=>[4,2,8,1,5,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,5,1,6,7,8,3]=>[5,2,8,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]] [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,5,6,1,7,8,3]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,4,5,6,7,1,8,3]=>[7,2,8,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,5,6,7,8,1,3]=>[8,2,1,4,5,6,7,3]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,8,7]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,6,4,8,7]=>[5,2,1,6,3,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>[2,1,6,3,5,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,5,3,6,8,4,7]=>[2,1,5,8,3,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,6,8,4,7]=>[5,2,1,8,3,6,4,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,5,1,6,3,8,4,7]=>[5,2,6,8,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,5,6,1,8,3,4,7]=>[6,2,8,3,5,1,4,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,5,1,6,3,7,4,8]=>[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,5,1,6,7,3,4,8]=>[5,2,7,3,1,6,4,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,5,6,1,7,3,4,8]=>[6,2,7,3,5,1,4,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,6,7,8,4]=>[2,1,5,8,3,6,7,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,6,7,8,4]=>[5,2,1,8,3,6,7,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,6,3,7,8,4]=>[2,1,6,8,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,5,1,6,3,7,8,4]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,5,6,1,3,7,8,4]=>[6,2,1,8,5,3,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,7,3,8,4]=>[2,1,7,8,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,7,3,8,4]=>[5,2,7,8,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,5,6,1,7,3,8,4]=>[6,2,7,8,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,5,6,7,8,3,4]=>[2,1,8,3,5,6,7,4]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,5,1,6,7,8,3,4]=>[5,2,8,3,1,6,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]] [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,5,6,1,7,8,3,4]=>[6,2,8,3,5,1,7,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]] [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,5,6,7,1,8,3,4]=>[7,2,8,3,5,6,1,4]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,5,6,7,8,1,3,4]=>[8,2,1,3,5,6,7,4]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,8,6]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,8,6]=>[5,2,1,7,3,8,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,5,7,3,4,8,6]=>[2,1,7,3,5,8,4,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>[5,2,7,3,1,8,4,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,7,1,3,4,8,6]=>[7,2,1,3,5,8,4,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,7,8,4,6]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,4,3,6]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,5,1,7,3,8,4,6]=>[5,2,7,8,1,4,3,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,7,8,3,4,6]=>[2,1,8,3,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,6,8]=>[2,1,5,7,3,4,6,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,7,4,6,8]=>[5,2,1,7,3,4,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,4,6,8]=>[3,2,1,7,5,4,6,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,5,1,3,4,7,8,6]=>[5,2,1,3,4,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,5,7,4,8,6]=>[2,1,3,7,5,8,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,1,7,4,8,6]=>[5,2,3,7,1,8,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,5,7,8,4,6]=>[2,1,3,8,5,4,7,6]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,5,7,8,4,6]=>[3,2,1,8,5,4,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,7,1,8,4,6]=>[7,2,3,8,5,4,1,6]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,5,7,8,1,4,6]=>[8,2,3,1,5,4,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,3,8,4,6,7]=>[2,1,5,8,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,5,1,3,8,4,6,7]=>[5,2,1,8,3,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,5,1,4,8,6,7]=>[5,2,3,1,4,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,3,5,8,4,6,7]=>[2,1,3,8,5,4,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,5,8,4,6,7]=>[3,2,1,8,5,4,6,7]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,1,8,4,6,7]=>[5,2,3,8,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,8,7]=>[2,1,5,3,4,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,1,6,4,8,7]=>[5,2,3,6,1,4,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,8,7]=>[6,2,3,1,5,4,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,1,5,6,8,4,7]=>[3,2,1,8,5,6,4,7]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,6,8,1,4,7]=>[8,2,3,1,5,6,4,7]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,6,7,8]=>[5,2,1,3,4,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,5,1,4,6,7,8]=>[5,2,3,1,4,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,5,6,1,4,7,8]=>[6,2,3,1,5,4,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,5,1,6,7,4,8]=>[5,2,3,7,1,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,5,6,1,7,4,8]=>[6,2,3,7,5,1,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,5,6,7,1,4,8]=>[7,2,3,1,5,6,4,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,5,1,6,7,8,4]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,5,6,1,7,8,4]=>[6,2,3,8,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,5,6,7,1,8,4]=>[7,2,3,8,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,5,6,7,8,1,4]=>[8,2,3,1,5,6,7,4]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,8,5]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,1,6,7,3,4,8,5]=>[2,1,7,3,8,6,4,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,6,1,7,3,4,8,5]=>[6,2,7,3,8,1,4,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,6,7,1,3,4,8,5]=>[7,2,1,3,8,6,4,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,6,1,3,7,8,4,5]=>[6,2,1,8,4,3,7,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,1,6,7,3,8,4,5]=>[2,1,7,8,4,6,3,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,6,1,7,3,8,4,5]=>[6,2,7,8,4,1,3,5]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,1,6,7,8,3,4,5]=>[2,1,8,3,4,6,7,5]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5,8]=>[3,2,1,6,7,4,5,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,3,1,6,7,4,5,8]=>[3,2,1,7,4,6,5,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,7,1,4,5,8]=>[7,2,3,1,4,6,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,7,8,5]=>[2,1,6,3,8,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,7,8,5]=>[3,2,1,6,8,4,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,7,8,5]=>[6,2,3,1,8,4,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,1,3,6,7,4,8,5]=>[2,1,3,7,8,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,3,1,6,7,4,8,5]=>[3,2,1,7,8,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,3,6,1,7,4,8,5]=>[6,2,3,7,8,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,3,6,7,1,4,8,5]=>[7,2,3,1,8,6,4,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,1,3,6,7,8,4,5]=>[2,1,3,8,4,6,7,5]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,3,1,6,7,8,4,5]=>[3,2,1,8,4,6,7,5]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,8,4,5]=>[6,2,3,8,4,1,7,5]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,8,4,5]=>[7,2,3,8,4,6,1,5]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,1,6,3,8,4,5,7]=>[2,1,6,8,4,3,5,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,6,1,8,3,4,5,7]=>[6,2,8,3,4,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,6,8,1,3,4,5,7]=>[8,2,1,3,4,6,5,7]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[2,1,6,3,4,8,5,7]=>[2,1,6,3,8,4,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,6,1,3,4,8,5,7]=>[6,2,1,3,8,4,5,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,8,5,7]=>[3,2,1,6,8,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,8,4,5,7]=>[3,2,1,8,4,6,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,3,6,1,8,4,5,7]=>[6,2,3,8,4,1,5,7]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,3,6,8,1,4,5,7]=>[8,2,3,1,4,6,5,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,8,7]=>[2,1,3,6,4,5,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,8,7]=>[6,2,3,1,4,5,8,7]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,8,5,7]=>[2,1,3,4,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,3,4,6,1,8,5,7]=>[6,2,3,4,8,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,6,4,5,7,8]=>[2,1,3,6,4,5,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,6,4,5,7,8]=>[3,2,1,6,4,5,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,1,4,5,7,8]=>[6,2,3,1,4,5,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,3,4,6,7,1,5,8]=>[7,2,3,4,1,6,5,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]] [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,3,4,6,1,7,8,5]=>[6,2,3,4,8,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,3,4,6,7,1,8,5]=>[7,2,3,4,8,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,6,7,5]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,7,1,3,8,4,5,6]=>[7,2,1,8,4,5,3,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,7,1,8,3,4,5,6]=>[7,2,8,3,4,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,7,8,1,3,4,5,6]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,1,7,3,4,8,5,6]=>[2,1,7,3,8,5,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,7,1,3,4,8,5,6]=>[7,2,1,3,8,5,4,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,1,7,4,8,5,6]=>[3,2,1,7,8,5,4,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,1,3,7,8,4,5,6]=>[2,1,3,8,4,5,7,6]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,3,1,7,8,4,5,6]=>[3,2,1,8,4,5,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>[8,2,3,1,4,5,7,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,8,6]=>[2,1,7,3,4,8,5,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,8,6]=>[7,2,1,3,4,8,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,1,3,7,4,5,8,6]=>[2,1,3,7,4,8,5,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,8,6]=>[3,2,1,7,4,8,5,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,8,6]=>[2,1,3,4,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,4,1,7,5,8,6]=>[4,2,3,1,7,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,8,6]=>[7,2,3,4,1,8,5,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,1,3,4,7,8,5,6]=>[2,1,3,4,8,5,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,5,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,3,4,7,1,8,5,6]=>[7,2,3,4,8,5,1,6]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]] [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,3,4,7,8,1,5,6]=>[8,2,3,4,1,5,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,1,7,3,4,5,6,8]=>[2,1,7,3,4,5,6,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,7,1,3,4,5,6,8]=>[7,2,1,3,4,5,6,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,3,1,7,4,5,6,8]=>[3,2,1,7,4,5,6,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,3,7,1,4,5,6,8]=>[7,2,3,1,4,5,6,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,1,3,4,7,5,6,8]=>[2,1,3,4,7,5,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6,8]=>[7,2,3,4,1,5,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,3,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[2,3,4,5,7,1,6,8]=>[7,2,3,4,5,1,6,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]] [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]] [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,3,4,5,7,1,8,6]=>[7,2,3,4,5,8,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,7,8,1,6]=>[8,2,3,4,5,1,7,6]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,1,3,8,4,5,6,7]=>[2,1,3,8,4,5,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,1,8,4,5,6,7]=>[3,2,1,8,4,5,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,8,1,4,5,6,7]=>[8,2,3,1,4,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,3,1,4,8,5,6,7]=>[3,2,1,4,8,5,6,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,3,4,1,8,5,6,7]=>[4,2,3,1,8,5,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[8,2,3,4,1,5,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,3,4,1,5,8,6,7]=>[4,2,3,1,5,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,6,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,3,4,5,8,1,6,7]=>[8,2,3,4,5,1,6,7]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,8,1,7]=>[8,2,3,4,5,6,1,7]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,6,2,5,8,7]=>[3,6,1,4,2,5,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,8,7]=>[6,1,3,4,2,5,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,8,5,7]=>[3,4,1,2,8,6,5,7]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,8,5,7]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,8,2,5,7]=>[3,8,1,4,2,6,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[3,4,1,6,8,2,5,7]=>[4,8,3,1,2,6,5,7]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>[8,1,3,4,2,6,5,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,7,8]=>[3,4,1,2,6,5,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[3,4,1,6,2,5,7,8]=>[4,6,3,1,2,5,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[3,4,6,1,2,5,7,8]=>[6,1,3,4,2,5,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5,8]=>[3,4,1,2,7,6,5,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5,8]=>[3,6,1,4,7,2,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[3,4,1,6,2,7,5,8]=>[4,6,3,1,7,2,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,4,6,7,2,5,8]=>[3,7,1,4,2,6,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[3,4,6,1,7,2,5,8]=>[6,7,3,4,2,1,5,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,6,7,8,5]=>[3,4,1,2,8,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,7,8,5]=>[4,1,3,2,8,6,7,5]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[3,4,1,6,2,7,8,5]=>[4,6,3,1,8,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[3,4,1,6,7,2,8,5]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]] [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[3,4,6,1,7,2,8,5]=>[6,7,3,4,8,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[3,4,1,6,7,8,2,5]=>[4,8,3,1,2,6,7,5]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,8,2,5]=>[6,8,3,4,2,1,7,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,8,2,5]=>[7,8,3,4,2,6,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,6,7,8,1,2,5]=>[8,1,3,4,2,6,7,5]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,8,6]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,7,5,8,6]=>[4,1,3,2,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,7,8,5,6]=>[3,4,1,2,8,5,7,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6]=>[4,1,3,2,8,5,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,7,2,8,5,6]=>[4,7,3,1,8,5,2,6]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,7,1,8,2,5,6]=>[7,8,3,4,2,5,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,6,8]=>[3,4,1,2,7,5,6,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,7,6,8]=>[3,4,1,2,5,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,2,5,7,6,8]=>[4,1,3,2,5,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,7,6,8]=>[3,5,1,4,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,7,6,8]=>[5,1,3,4,2,7,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,4,5,7,2,6,8]=>[3,7,1,4,5,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,7,8,6]=>[3,4,1,2,5,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,4,5,2,7,8,6]=>[3,5,1,4,2,8,7,6]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]] [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,7,8,6]=>[4,5,3,1,2,8,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,5,7,8,2,6]=>[4,8,3,1,5,2,7,6]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,5,7,1,8,2,6]=>[7,8,3,4,5,2,1,6]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,4,2,8,5,6,7]=>[3,4,1,2,8,5,6,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,8,5,6,7]=>[4,1,3,2,8,5,6,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,8,6,7]=>[3,4,1,2,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,2,8,6,7]=>[4,5,3,1,2,8,6,7]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,8,6,7]=>[5,1,3,4,2,8,6,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,1,8,2,6,7]=>[5,8,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[8,1,3,4,5,2,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,8,7]=>[3,4,1,2,5,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,2,6,8,7]=>[4,5,3,1,2,6,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,8,7]=>[5,1,3,4,2,6,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,8,7]=>[3,6,1,4,5,2,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,8,7]=>[4,6,3,1,5,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,8,7]=>[5,6,3,4,1,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,4,5,6,8,2,7]=>[3,8,1,4,5,6,2,7]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,4,5,2,6,7,8]=>[3,5,1,4,2,6,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[3,4,5,1,2,6,7,8]=>[5,1,3,4,2,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,4,5,6,2,7,8]=>[3,6,1,4,5,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,4,1,5,6,2,7,8]=>[4,6,3,1,5,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[3,4,5,1,6,2,7,8]=>[5,6,3,4,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[6,1,3,4,5,2,7,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,4,5,6,7,2,8]=>[3,7,1,4,5,6,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[3,4,1,5,6,7,2,8]=>[4,7,3,1,5,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[3,4,5,1,6,7,2,8]=>[5,7,3,4,1,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[3,4,5,6,1,7,2,8]=>[6,7,3,4,5,1,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[7,1,3,4,5,6,2,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,2]=>[3,8,1,4,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[3,4,1,5,6,7,8,2]=>[4,8,3,1,5,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,5,1,6,7,8,2]=>[5,8,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,5,6,1,7,8,2]=>[6,8,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,5,6,7,1,8,2]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,5,1,2,6,4,8,7]=>[5,1,3,6,2,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,8,7]=>[5,6,3,2,1,4,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]] [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,5,6,1,2,4,8,7]=>[6,1,3,2,5,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,6,8,4,7]=>[3,5,1,8,2,6,4,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,6,8,4,7]=>[5,1,3,8,2,6,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,5,6,2,8,4,7]=>[3,6,1,8,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,5,6,1,2,8,4,7]=>[6,1,3,8,5,2,4,7]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,5,6,8,2,4,7]=>[3,8,1,2,5,6,4,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,5,1,6,8,2,4,7]=>[5,8,3,2,1,6,4,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,5,6,1,8,2,4,7]=>[6,8,3,2,5,1,4,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>[8,1,3,2,5,6,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,7,8]=>[3,5,1,6,2,4,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,5,1,6,2,4,7,8]=>[5,6,3,2,1,4,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,6,7,4,8]=>[5,1,3,7,2,6,4,8]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,5,1,6,2,7,4,8]=>[5,6,3,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,5,6,1,2,7,4,8]=>[6,1,3,7,5,2,4,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,5,6,7,2,4,8]=>[3,7,1,2,5,6,4,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,5,1,6,7,2,4,8]=>[5,7,3,2,1,6,4,8]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]] [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,5,6,7,1,2,4,8]=>[7,1,3,2,5,6,4,8]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,5,6,2,7,8,4]=>[3,6,1,8,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]] [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,5,1,6,2,7,8,4]=>[5,6,3,8,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,5,6,1,2,7,8,4]=>[6,1,3,8,5,2,7,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,7,2,8,4]=>[3,7,1,8,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,7,2,8,4]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,7,2,8,4]=>[6,7,3,8,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,5,6,7,8,2,4]=>[3,8,1,2,5,6,7,4]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,5,1,6,7,8,2,4]=>[5,8,3,2,1,6,7,4]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,5,6,1,7,8,2,4]=>[6,8,3,2,5,1,7,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,5,6,7,1,8,2,4]=>[7,8,3,2,5,6,1,4]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,5,6,7,8,1,2,4]=>[8,1,3,2,5,6,7,4]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,8,6]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,5,2,7,8,4,6]=>[3,5,1,8,2,4,7,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,5,1,2,7,8,4,6]=>[5,1,3,8,2,4,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>[5,7,3,8,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,5,1,7,8,2,4,6]=>[5,8,3,2,1,4,7,6]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,5,7,8,1,2,4,6]=>[8,1,3,2,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,6,8]=>[3,5,1,7,2,4,6,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,5,1,2,7,4,6,8]=>[5,1,3,7,2,4,6,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,7,2,4,6,8]=>[3,7,1,2,5,4,6,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,5,1,7,2,4,6,8]=>[5,7,3,2,1,4,6,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,5,7,1,2,4,6,8]=>[7,1,3,2,5,4,6,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6,8]=>[3,5,1,2,4,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,7,6,8]=>[5,1,3,2,4,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6,8]=>[1,5,3,2,4,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6,8]=>[3,1,2,7,5,4,6,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,4,6,8]=>[1,3,2,7,5,4,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,5,2,7,4,6,8]=>[1,5,3,7,2,4,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,7,8,6]=>[3,5,1,2,4,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,7,8,6]=>[1,5,3,2,4,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,5,7,4,8,6]=>[3,1,2,7,5,8,4,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,2,5,7,4,8,6]=>[1,3,2,7,5,8,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,2,7,4,8,6]=>[1,5,3,7,2,8,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,5,7,8,4,6]=>[3,1,2,8,5,4,7,6]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,5,7,8,4,6]=>[1,3,2,8,5,4,7,6]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]] [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,7,2,8,4,6]=>[1,7,3,8,5,4,2,6]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,5,2,8,4,6,7]=>[3,5,1,8,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,5,1,2,8,4,6,7]=>[5,1,3,8,2,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,5,8,1,2,4,6,7]=>[8,1,3,2,5,4,6,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,8,6,7]=>[3,5,1,2,4,8,6,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,5,1,2,4,8,6,7]=>[5,1,3,2,4,8,6,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,8,7]=>[3,5,1,2,4,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,5,1,2,4,6,8,7]=>[5,1,3,2,4,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,5,4,6,8,7]=>[3,1,2,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,5,6,8,4,7]=>[3,1,2,8,5,6,4,7]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,5,6,8,4,7]=>[1,3,2,8,5,6,4,7]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,2,6,8,4,7]=>[1,5,3,8,2,6,4,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,6,2,8,4,7]=>[1,6,3,8,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,6,8,2,4,7]=>[1,8,3,2,5,6,4,7]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7,8]=>[3,5,1,2,4,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,5,6,2,7,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,5,6,7,8,4]=>[3,1,2,8,5,6,7,4]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,5,2,6,7,8,4]=>[1,5,3,8,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,5,6,2,7,8,4]=>[1,6,3,8,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]] [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,5,6,7,2,8,4]=>[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,8,5]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,6,1,7,2,4,8,5]=>[6,7,3,2,8,1,4,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,6,7,1,2,4,8,5]=>[7,1,3,2,8,6,4,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,6,1,2,7,8,4,5]=>[6,1,3,8,4,2,7,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]] [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,6,7,2,8,4,5]=>[3,7,1,8,4,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,6,1,7,2,8,4,5]=>[6,7,3,8,4,1,2,5]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>[7,1,3,8,4,6,2,5]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,6,1,7,8,2,4,5]=>[6,8,3,2,4,1,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,6,7,1,8,2,4,5]=>[7,8,3,2,4,6,1,5]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,6,7,8,1,2,4,5]=>[8,1,3,2,4,6,7,5]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,6,1,2,7,4,5,8]=>[6,1,3,7,4,2,5,8]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,6,7,2,4,5,8]=>[3,7,1,2,4,6,5,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,7,5,8]=>[1,6,3,2,7,4,5,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,3,6,2,7,4,5,8]=>[1,6,3,7,4,2,5,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,3,6,7,2,4,5,8]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,6,1,2,4,7,8,5]=>[6,1,3,2,8,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,8,5]=>[3,1,2,6,8,4,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,4,7,8,5]=>[1,3,2,6,8,4,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,3,6,2,4,7,8,5]=>[1,6,3,2,8,4,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,2,6,7,4,8,5]=>[3,1,2,7,8,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,3,6,2,7,4,8,5]=>[1,6,3,7,8,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,3,6,7,2,4,8,5]=>[1,7,3,2,8,6,4,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,6,7,8,4,5]=>[3,1,2,8,4,6,7,5]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,8,4,5]=>[1,6,3,8,4,2,7,5]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]] [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,8,4,5]=>[1,7,3,8,4,6,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,1,6,8,2,4,5,7]=>[3,8,1,2,4,6,5,7]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,6,8,1,2,4,5,7]=>[8,1,3,2,4,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,1,6,2,4,8,5,7]=>[3,6,1,2,8,4,5,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,4,8,5,7]=>[3,1,2,6,8,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,6,4,8,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,3,6,2,4,8,5,7]=>[1,6,3,2,8,4,5,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,3,2,6,8,4,5,7]=>[1,3,2,8,4,6,5,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,3,6,2,8,4,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,8,7]=>[3,6,1,2,4,5,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,5,8,7]=>[3,1,2,6,4,5,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,8,7]=>[3,1,2,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,8,7]=>[1,6,3,4,2,5,8,7]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,8,5,7]=>[3,1,2,4,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,1,6,2,4,5,7,8]=>[3,6,1,2,4,5,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,4,6,7,2,5,8]=>[1,7,3,4,2,6,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,6,7,8,5]=>[3,1,2,4,8,6,7,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]] [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,3,4,6,2,7,8,5]=>[1,6,3,4,8,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,3,4,6,7,2,8,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,6,7,8,2,5]=>[1,8,3,4,2,6,7,5]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,7,1,2,8,4,5,6]=>[7,1,3,8,4,5,2,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,1,7,8,2,4,5,6]=>[3,8,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,7,8,1,2,4,5,6]=>[8,1,3,2,4,5,7,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,7,1,2,4,8,5,6]=>[7,1,3,2,8,5,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,8,5,4,6]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,3,7,2,4,8,5,6]=>[1,7,3,2,8,5,4,6]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,1,2,7,8,4,5,6]=>[3,1,2,8,4,5,7,6]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,3,2,7,8,4,5,6]=>[1,3,2,8,4,5,7,6]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,3,7,2,8,4,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,3,7,8,2,4,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,8,6]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,8,6]=>[7,1,3,2,4,8,5,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,8,6]=>[3,1,2,7,4,8,5,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,8,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,8,6]=>[1,7,3,2,4,8,5,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,8,6]=>[3,1,2,4,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,3,4,2,7,5,8,6]=>[1,4,3,2,7,8,5,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,8,6]=>[1,7,3,4,2,8,5,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,1,2,4,7,8,5,6]=>[3,1,2,4,8,5,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,3,4,7,2,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,1,7,2,4,5,6,8]=>[3,7,1,2,4,5,6,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,7,1,2,4,5,6,8]=>[7,1,3,2,4,5,6,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,1,2,7,4,5,6,8]=>[3,1,2,7,4,5,6,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,3,7,2,4,5,6,8]=>[1,7,3,2,4,5,6,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,1,2,4,7,5,6,8]=>[3,1,2,4,7,5,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,3,4,7,2,5,6,8]=>[1,7,3,4,2,5,6,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]] [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]] [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,4,5,7,2,8,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,8,2,4,5,6,7]=>[3,8,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,8,1,2,4,5,6,7]=>[8,1,3,2,4,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,1,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[3,1,2,4,8,5,6,7]=>[3,1,2,4,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[1,8,3,4,2,5,6,7]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,3,4,5,8,2,6,7]=>[1,8,3,4,5,2,6,7]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,8,7]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,8,7]=>[4,6,2,1,5,3,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,8,7]=>[5,6,2,4,1,3,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,8,7]=>[6,1,2,4,5,3,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,6,8,3,7]=>[4,5,8,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,6,8,3,7]=>[5,1,8,4,2,6,3,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[4,5,1,6,2,8,3,7]=>[5,6,8,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,6,1,2,8,3,7]=>[6,1,8,4,5,2,3,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,5,6,8,2,3,7]=>[4,8,2,1,5,6,3,7]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[4,5,1,6,8,2,3,7]=>[5,8,2,4,1,6,3,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[4,5,6,1,8,2,3,7]=>[6,8,2,4,5,1,3,7]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,1,5,6,2,3,7,8]=>[4,6,2,1,5,3,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[4,5,1,6,2,3,7,8]=>[5,6,2,4,1,3,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3,8]=>[4,5,7,1,2,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[4,5,1,2,6,7,3,8]=>[5,1,7,4,2,6,3,8]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3,8]=>[4,6,7,1,5,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[4,5,1,6,2,7,3,8]=>[5,6,7,4,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[4,5,1,6,7,2,3,8]=>[5,7,2,4,1,6,3,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>[7,1,2,4,5,6,3,8]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,6,7,8,3]=>[4,5,8,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[4,5,1,6,2,7,8,3]=>[5,6,8,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,6,1,2,7,8,3]=>[6,1,8,4,5,2,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[4,1,5,6,7,2,8,3]=>[4,7,8,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[4,5,1,6,7,2,8,3]=>[5,7,8,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[4,5,6,1,7,2,8,3]=>[6,7,8,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,1,5,6,7,8,2,3]=>[4,8,2,1,5,6,7,3]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[4,5,1,6,7,8,2,3]=>[5,8,2,4,1,6,7,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[4,5,6,1,7,8,2,3]=>[6,8,2,4,5,1,7,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,5,6,7,1,8,2,3]=>[7,8,2,4,5,6,1,3]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,8,6]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[4,1,5,2,7,8,3,6]=>[4,5,8,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,5,1,2,7,8,3,6]=>[5,1,8,4,2,3,7,6]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[4,1,5,7,2,8,3,6]=>[4,7,8,1,5,3,2,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[4,5,1,7,2,8,3,6]=>[5,7,8,4,1,3,2,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[7,1,8,4,5,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,5,1,7,8,2,3,6]=>[5,8,2,4,1,3,7,6]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>[8,1,2,4,5,3,7,6]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[4,5,1,2,7,3,6,8]=>[5,1,7,4,2,3,6,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[4,1,5,2,3,7,6,8]=>[4,5,2,1,3,7,6,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,7,6,8]=>[4,1,5,2,3,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,3,6,8]=>[1,5,7,4,2,3,6,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,7,8,6]=>[4,5,2,1,3,8,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,5,3,7,8,6]=>[4,1,5,2,3,8,7,6]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]] [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,4,5,2,3,7,8,6]=>[1,5,2,4,3,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,5,7,3,8,6]=>[1,4,7,2,5,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,2,7,3,8,6]=>[1,5,7,4,2,8,3,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,8,6]=>[1,7,2,4,5,8,3,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,5,7,8,3,6]=>[4,1,8,2,5,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,4,5,7,2,8,3,6]=>[1,7,8,4,5,3,2,6]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,8,3,6,7]=>[4,5,8,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,8,3,6,7]=>[5,1,8,4,2,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[4,5,1,8,2,3,6,7]=>[5,8,2,4,1,3,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,8,1,2,3,6,7]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,3,8,6,7]=>[4,1,5,2,3,8,6,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,8,3,6,7]=>[1,5,8,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,8,7]=>[5,1,2,4,3,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,5,6,3,8,7]=>[4,1,6,2,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,5,6,8,3,7]=>[1,4,8,2,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,5,2,6,8,3,7]=>[1,5,8,4,2,6,3,7]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,5,6,2,8,3,7]=>[1,6,8,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7,8]=>[4,5,2,1,3,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6,7,8]=>[4,1,5,2,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,5,6,3,7,8]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,5,2,6,3,7,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,4,5,6,2,3,7,8]=>[1,6,2,4,5,3,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,4,2,5,6,7,3,8]=>[1,4,7,2,5,6,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,5,2,6,7,3,8]=>[1,5,7,4,2,6,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,4,5,6,2,7,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,4,5,6,7,2,3,8]=>[1,7,2,4,5,6,3,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,5,6,7,8,3]=>[4,1,8,2,5,6,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,5,6,7,8,3]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,4,5,2,6,7,8,3]=>[1,5,8,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,4,5,6,2,7,8,3]=>[1,6,8,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,4,5,6,7,2,8,3]=>[1,7,8,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,5,6,7,8,2,3]=>[1,8,2,4,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,8,5]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,6,1,2,7,3,8,5]=>[6,1,7,4,8,2,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,6,7,2,8,3,5]=>[4,7,8,1,3,6,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,6,1,7,2,8,3,5]=>[6,7,8,4,3,1,2,5]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,6,7,1,2,8,3,5]=>[7,1,8,4,3,6,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,6,7,8,2,3,5]=>[4,8,2,1,3,6,7,5]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>[7,8,2,4,3,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,5,8]=>[4,6,7,1,3,2,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,6,7,2,3,5,8]=>[4,7,2,1,3,6,5,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,6,1,7,2,3,5,8]=>[6,7,2,4,3,1,5,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,6,2,3,7,5,8]=>[4,6,2,1,7,3,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,7,5,8]=>[6,1,2,4,7,3,5,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,7,5,8]=>[4,1,6,2,7,3,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,7,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,7,5,8]=>[1,6,2,4,7,3,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,6,7,3,5,8]=>[4,1,7,2,3,6,5,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,6,7,3,5,8]=>[1,4,7,2,3,6,5,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,6,2,7,3,5,8]=>[1,6,7,4,3,2,5,8]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,6,7,2,3,5,8]=>[1,7,2,4,3,6,5,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,7,8,5]=>[4,6,2,1,8,3,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,7,8,5]=>[6,1,2,4,8,3,7,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,7,8,5]=>[4,1,6,2,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,7,8,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,7,8,5]=>[1,6,2,4,8,3,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,6,7,3,8,5]=>[1,4,7,2,8,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,2,7,3,8,5]=>[1,6,7,4,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,6,7,2,3,8,5]=>[1,7,2,4,8,6,3,5]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,6,7,8,3,5]=>[1,4,8,2,3,6,7,5]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,8,3,5]=>[1,6,8,4,3,2,7,5]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,8,3,5]=>[1,7,8,4,3,6,2,5]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,6,1,2,8,3,5,7]=>[6,1,8,4,3,2,5,7]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,6,8,2,3,5,7]=>[4,8,2,1,3,6,5,7]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,6,1,8,2,3,5,7]=>[6,8,2,4,3,1,5,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,6,8,1,2,3,5,7]=>[8,1,2,4,3,6,5,7]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,6,1,2,3,8,5,7]=>[6,1,2,4,8,3,5,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,8,5,7]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,3,8,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,6,2,3,8,5,7]=>[1,6,2,4,8,3,5,7]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,8,3,5,7]=>[4,1,8,2,3,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,8,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,8,3,5,7]=>[1,6,8,4,3,2,5,7]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,8,7]=>[4,6,2,1,3,5,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,8,7]=>[6,1,2,4,3,5,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,8,7]=>[4,1,6,2,3,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,8,7]=>[1,6,2,4,3,5,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,8,5,7]=>[4,1,2,3,8,6,5,7]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,6,8,5,7]=>[1,4,2,3,8,6,5,7]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7,8]=>[4,6,2,1,3,5,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,7,8]=>[6,1,2,4,3,5,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,6,3,5,7,8]=>[4,1,6,2,3,5,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,6,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,6,2,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>[4,1,2,3,7,6,5,8]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,4,6,3,7,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,6,7,8,5]=>[4,1,2,3,8,6,7,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,4,6,3,7,8,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,4,6,7,3,8,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,7,1,2,8,3,5,6]=>[7,1,8,4,3,5,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,7,8,2,3,5,6]=>[4,8,2,1,3,5,7,6]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,7,1,8,2,3,5,6]=>[7,8,2,4,3,5,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,7,8,1,2,3,5,6]=>[8,1,2,4,3,5,7,6]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,7,2,3,8,5,6]=>[4,7,2,1,8,5,3,6]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,7,3,8,5,6]=>[4,1,7,2,8,5,3,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>[1,4,7,2,8,5,3,6]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,7,8,3,5,6]=>[4,1,8,2,3,5,7,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,4,2,7,8,3,5,6]=>[1,4,8,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,4,7,2,8,3,5,6]=>[1,7,8,4,3,5,2,6]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,8,6]=>[4,1,7,2,3,8,5,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,8,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,8,6]=>[4,1,2,3,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,8,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,8,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,7,8,5,6]=>[4,1,2,3,8,5,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]] [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,7,1,2,3,5,6,8]=>[7,1,2,4,3,5,6,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,1,2,7,3,5,6,8]=>[4,1,7,2,3,5,6,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,4,2,7,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,4,7,2,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,4,7,3,5,6,8]=>[1,2,7,4,3,5,6,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,4,5,7,3,8,6]=>[1,2,7,4,5,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[4,1,8,2,3,5,6,7]=>[4,8,2,1,3,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[4,8,1,2,3,5,6,7]=>[8,1,2,4,3,5,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[4,1,2,8,3,5,6,7]=>[4,1,8,2,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,4,2,8,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,8,7]=>[1,2,5,4,3,6,8,7]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[5,6,1,2,7,3,8,4]=>[6,1,7,8,5,2,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[5,1,6,7,2,3,8,4]=>[5,7,2,8,1,6,3,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[5,6,1,7,2,3,8,4]=>[6,7,2,8,5,1,3,4]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,8,4]=>[7,1,2,8,5,6,3,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,1,6,2,7,8,3,4]=>[5,6,8,3,1,2,7,4]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[5,6,1,2,7,8,3,4]=>[6,1,8,3,5,2,7,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[5,1,6,7,2,8,3,4]=>[5,7,8,3,1,6,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[5,6,1,7,2,8,3,4]=>[6,7,8,3,5,1,2,4]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,7,1,2,8,3,4]=>[7,1,8,3,5,6,2,4]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,1,6,7,8,2,3,4]=>[5,8,2,3,1,6,7,4]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[5,6,1,7,8,2,3,4]=>[6,8,2,3,5,1,7,4]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[5,6,7,1,8,2,3,4]=>[7,8,2,3,5,6,1,4]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,4,8]=>[5,6,7,3,1,2,4,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,7,4,8]=>[5,6,2,7,1,3,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,7,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,7,4,8]=>[1,6,2,7,5,3,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[1,5,2,6,7,3,4,8]=>[1,5,7,3,2,6,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,7,8,4]=>[5,6,2,8,1,3,7,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[5,6,1,2,3,7,8,4]=>[6,1,2,8,5,3,7,4]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,7,8,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[1,5,6,2,3,7,8,4]=>[1,6,2,8,5,3,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,5,2,6,7,3,8,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,5,6,2,7,3,8,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[1,5,6,7,2,3,8,4]=>[1,7,2,8,5,6,3,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[5,1,2,6,7,8,3,4]=>[5,1,8,3,2,6,7,4]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,5,2,6,7,8,3,4]=>[1,5,8,3,2,6,7,4]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]] [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,5,6,2,7,8,3,4]=>[1,6,8,3,5,2,7,4]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,5,6,7,2,8,3,4]=>[1,7,8,3,5,6,2,4]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[1,5,6,7,8,2,3,4]=>[1,8,2,3,5,6,7,4]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[5,1,6,8,2,3,4,7]=>[5,8,2,3,1,6,4,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[5,6,1,8,2,3,4,7]=>[6,8,2,3,5,1,4,7]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,8,1,2,3,4,7]=>[8,1,2,3,5,6,4,7]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,1,6,2,3,8,4,7]=>[5,6,2,8,1,3,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,6,1,2,3,8,4,7]=>[6,1,2,8,5,3,4,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,2,6,3,8,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[1,5,6,2,3,8,4,7]=>[1,6,2,8,5,3,4,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[5,1,2,6,8,3,4,7]=>[5,1,8,3,2,6,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,6,2,8,3,4,7]=>[1,6,8,3,5,2,4,7]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[1,5,6,8,2,3,4,7]=>[1,8,2,3,5,6,4,7]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,8,7]=>[5,1,6,3,2,4,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,8,7]=>[5,1,2,6,3,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,8,7]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,8,4,7]=>[1,5,2,8,3,6,4,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,6,8,4,7]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,6,3,8,4,7]=>[1,2,6,8,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,7,8]=>[6,1,2,3,5,4,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,4,7,8]=>[5,1,6,3,2,4,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,6,4,7,8]=>[5,1,2,6,3,4,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,6,4,7,8]=>[1,5,2,6,3,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,6,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,6,7,4,8]=>[5,1,2,7,3,6,4,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,6,7,4,8]=>[1,5,2,7,3,6,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,6,7,4,8]=>[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,2,5,6,3,7,4,8]=>[1,2,6,7,5,3,4,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,6,7,8,4]=>[5,1,2,8,3,6,7,4]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,6,7,8,4]=>[1,2,5,8,3,6,7,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,2,5,6,3,7,8,4]=>[1,2,6,8,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[1,2,5,6,7,3,8,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,7,2,8,3,4,6]=>[5,7,8,3,1,4,2,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,7,1,2,8,3,4,6]=>[7,1,8,3,5,4,2,6]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]] [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,7,1,8,2,3,4,6]=>[7,8,2,3,5,4,1,6]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,7,8,1,2,3,4,6]=>[8,1,2,3,5,4,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,7,2,3,8,4,6]=>[5,7,2,8,1,4,3,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,7,3,8,4,6]=>[5,1,7,8,2,4,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,7,3,8,4,6]=>[1,5,7,8,2,4,3,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,7,2,3,8,4,6]=>[1,7,2,8,5,4,3,6]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,7,8,3,4,6]=>[5,1,8,3,2,4,7,6]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]] [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,7,8,3,4,6]=>[1,5,8,3,2,4,7,6]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]] [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,7,2,8,3,4,6]=>[1,7,8,3,5,4,2,6]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,8,6]=>[7,1,2,3,5,8,4,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,8,6]=>[5,1,7,3,2,8,4,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,8,6]=>[1,5,7,3,2,8,4,6]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,8,6]=>[1,7,2,3,5,8,4,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,8,6]=>[5,1,2,7,3,8,4,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,8,6]=>[1,5,2,7,3,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,8,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,7,8,4,6]=>[1,5,2,8,3,4,7,6]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[1,2,5,3,7,8,4,6]=>[1,2,5,8,3,4,7,6]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[1,2,5,7,8,3,4,6]=>[1,2,8,3,5,4,7,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[5,7,1,2,3,4,6,8]=>[7,1,2,3,5,4,6,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,7,3,4,6,8]=>[5,1,7,3,2,4,6,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,2,7,3,4,6,8]=>[1,5,7,3,2,4,6,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,7,2,3,4,6,8]=>[1,7,2,3,5,4,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,2,3,7,4,6,8]=>[5,1,2,7,3,4,6,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,2,3,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[1,2,5,3,7,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,7,8,6]=>[5,1,2,3,4,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,7,8,6]=>[1,2,5,3,4,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,8,2,3,4,6,7]=>[5,8,2,3,1,4,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[5,8,1,2,3,4,6,7]=>[8,1,2,3,5,4,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,8,3,4,6,7]=>[5,1,8,3,2,4,6,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[1,5,2,8,3,4,6,7]=>[1,5,8,3,2,4,6,7]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[1,5,8,2,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,3,8,4,6,7]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[1,5,2,3,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,5,3,8,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,8,6,7]=>[5,1,2,3,4,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,4,5]=>[6,7,8,3,4,1,2,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[6,7,1,2,8,3,4,5]=>[7,1,8,3,4,6,2,5]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[6,1,7,8,2,3,4,5]=>[6,8,2,3,4,1,7,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[6,7,1,8,2,3,4,5]=>[7,8,2,3,4,6,1,5]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,7,2,3,8,4,5]=>[6,7,2,8,4,1,3,5]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[6,1,2,7,3,8,4,5]=>[6,1,7,8,4,2,3,5]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,5]=>[1,6,7,8,4,2,3,5]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,6,7,2,3,8,4,5]=>[1,7,2,8,4,6,3,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[6,1,2,7,8,3,4,5]=>[6,1,8,3,4,2,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,6,2,7,8,3,4,5]=>[1,6,8,3,4,2,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>[1,8,2,3,4,6,7,5]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,8,5]=>[6,7,2,3,8,1,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,8,5]=>[6,1,7,3,8,2,4,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,8,5]=>[1,7,2,3,8,6,4,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,8,5]=>[6,1,2,7,8,3,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,6,2,3,7,4,8,5]=>[1,6,2,7,8,3,4,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,8,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,8,5]=>[1,2,7,3,8,6,4,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[6,1,2,3,7,8,4,5]=>[6,1,2,8,4,3,7,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[1,6,2,3,7,8,4,5]=>[1,6,2,8,4,3,7,5]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,8,4,5]=>[1,2,7,8,4,6,3,5]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,2,6,7,8,3,4,5]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[6,1,7,2,3,4,5,8]=>[6,7,2,3,4,1,5,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[6,1,2,7,3,4,5,8]=>[6,1,7,3,4,2,5,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[1,6,2,7,3,4,5,8]=>[1,6,7,3,4,2,5,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[1,6,7,2,3,4,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,4,5,8]=>[1,2,6,7,4,3,5,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[1,2,6,7,3,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,7,5,8]=>[6,1,2,3,7,4,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,7,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,8,5]=>[6,1,2,3,8,4,7,5]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,7,8,5]=>[1,2,6,3,8,4,7,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,7,8,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,2,3,6,7,4,8,5]=>[1,2,3,7,8,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,8,2,3,4,5,7]=>[6,8,2,3,4,1,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,8,1,2,3,4,5,7]=>[8,1,2,3,4,6,5,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[6,1,2,8,3,4,5,7]=>[6,1,8,3,4,2,5,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]] [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,8,3,4,5,7]=>[1,6,8,3,4,2,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]] [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[1,6,8,2,3,4,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,8,4,5,7]=>[6,1,2,8,4,3,5,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[1,6,2,3,8,4,5,7]=>[1,6,2,8,4,3,5,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,3,8,4,5,7]=>[1,2,6,8,4,3,5,7]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[6,1,2,3,4,8,5,7]=>[6,1,2,3,8,4,5,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[1,2,6,3,4,8,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[1,2,3,6,4,8,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[1,2,3,6,8,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[7,1,8,2,3,4,5,6]=>[7,8,2,3,4,5,1,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[7,1,2,8,3,4,5,6]=>[7,1,8,3,4,5,2,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,7,2,8,3,4,5,6]=>[1,7,8,3,4,5,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,8,2,3,4,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,1,2,3,8,4,5,6]=>[7,1,2,8,4,5,3,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,7,2,3,8,4,5,6]=>[1,7,2,8,4,5,3,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,2,7,3,8,4,5,6]=>[1,2,7,8,4,5,3,6]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,1,2,3,4,8,5,6]=>[7,1,2,3,8,5,4,6]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,7,2,3,4,8,5,6]=>[1,7,2,3,8,5,4,6]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[1,2,7,3,4,8,5,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,8,5,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,9,6,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,9,1,8]=>[9,2,3,4,5,6,7,1,8]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,10,8]=>[9,1,2,3,4,5,6,10,7,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,10,1,9]=>[10,2,3,4,5,6,7,8,1,9]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,11,9]=>[10,1,2,3,4,5,6,7,11,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,10,9]=>[8,1,2,3,4,5,6,7,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,8,9,6]=>[7,1,2,3,4,9,5,8,6]=>[[.,.],[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[[[.,.],[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,9,1,7,8]=>[9,2,3,4,5,6,1,7,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[2,3,4,5,6,8,1,9,7]=>[8,2,3,4,5,6,9,1,7]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,11,1,10]=>[11,2,3,4,5,6,7,8,9,1,10]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,0]=>[8,1,2,3,9,4,5,6,7]=>[8,1,2,9,4,5,6,3,7]=>[[.,.],[.,[[[.,.],[.,[.,.]]],[.,.]]]] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,9,7,8]=>[6,1,2,3,4,5,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,9,7]=>[6,1,2,3,4,5,9,8,7]=>[[.,.],[.,[.,[.,[.,[[[.,.],.],.]]]]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,10,1,8,9]=>[10,2,3,4,5,6,7,1,8,9]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] [1,0,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,9,1,10,8]=>[9,2,3,4,5,6,7,10,1,8]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0]=>[9,1,2,3,4,10,5,6,7,8]=>[9,1,2,3,10,5,6,7,4,8]=>[[.,.],[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[5,1,2,3,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>[9,1,2,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[2,3,4,5,9,1,6,7,8]=>[9,2,3,4,5,1,6,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[9,1,3,4,5,6,7,8,2]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[8,1,9,2,3,4,5,6,7]=>[8,9,2,3,4,5,6,1,7]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],[.,.]] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[5,1,2,3,4,9,6,7,8]=>[5,1,2,3,4,9,6,7,8]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[7,9,1,2,3,4,5,6,8]=>[9,1,2,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,10,1,7,8,9]=>[10,2,3,4,5,6,1,7,8,9]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,9,2]=>[8,9,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],[.,.]] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[10,1,2,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,8,7,9]=>[4,1,2,3,5,6,8,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6,9]=>[8,1,2,3,4,5,7,6,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,4,5,6,7,1,8,9,2]=>[7,9,3,4,5,6,1,8,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[[.,.],.]] [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,4,5,6,7,8,1,9,3]=>[8,2,9,4,5,6,7,1,3]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],[.,.]] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[10,1,3,4,5,6,7,8,9,2]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,1,10,2,3,4,5,6,7,8]=>[9,10,2,3,4,5,6,7,1,8]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[4,1,2,3,9,5,6,7,8]=>[4,1,2,3,9,5,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,9,7,8]=>[2,1,3,4,5,6,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[5,9,1,2,3,4,6,7,8]=>[9,1,2,3,5,4,6,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,10,2]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]] []=>[]=>[]=>. [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,5,2,4,7,6,9,8]=>[1,5,3,2,4,7,6,9,8]=>[.,[[[.,.],.],[.,[[.,.],[[.,.],.]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,3,9,2,4,5,6,7,8]=>[1,9,3,2,4,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,3,7,6,9,8]=>[1,4,5,2,3,7,6,9,8]=>[.,[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,4,2,5,6,7,8,9,3]=>[1,4,9,2,5,6,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7,9]=>[1,4,2,3,6,5,8,7,9]=>[.,[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9]=>[.,[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,4,9,3,5,6,7,8]=>[1,2,9,4,3,5,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>[.,[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,3,5,9,4,6,7,8]=>[1,2,3,9,5,4,6,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]] [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,6,2,7,3,8,4,9,5]=>[1,6,7,8,9,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] [1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,8,5,7,9]=>[1,2,3,4,8,6,5,7,9]=>[.,[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]] [1,1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,6,9,5,7,8]=>[1,2,3,4,9,6,5,7,8]=>[.,[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]] [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] [1,1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,7,4,8,5,9,6]=>[1,2,3,7,8,9,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,6,9]=>[1,2,3,4,7,8,5,6,9]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]] [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,9,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,9,2,3,4,5,6,8]=>[1,9,2,3,4,5,7,6,8]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,9,8]=>[1,7,2,3,4,5,6,9,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,7,5,6,9,8]=>[1,2,3,4,7,5,6,9,8]=>[.,[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,9,7,6,8]=>[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,6,8,9]=>[1,7,2,3,4,5,6,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[1,8,9,2,3,4,5,6,7]=>[1,9,2,3,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0]=>[1,2,3,4,8,9,5,6,7]=>[1,2,3,4,9,5,6,8,7]=>[.,[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,9,6,7]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,9,7]=>[1,2,3,8,4,5,9,6,7]=>[.,[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[1,2,3,4,8,5,6,9,7]=>[1,2,3,4,8,5,9,6,7]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,9,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,9,6,8,7]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,9,7]=>[4,2,6,1,8,3,9,5,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],[.,.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,9,8]=>[4,2,6,1,7,3,5,9,8]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,9,8]=>[4,2,5,1,3,7,6,9,8]=>[[[.,.],[.,.]],[.,[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[[[.,.],.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,8,9]=>[4,2,6,1,7,3,5,8,9]=>[[[.,.],[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,8,5,9,7,10]=>[4,2,6,1,8,3,9,5,7,10]=>[[[.,.],[.,.]],[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,8,6,9,7]=>[4,2,5,1,3,8,9,6,7]=>[[[.,.],[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,6,3,7,5,9,8,10]=>[4,2,6,1,7,3,5,9,8,10]=>[[[.,.],[.,.]],[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,6,4,7,5,9,8]=>[3,2,1,6,7,4,5,9,8]=>[[[.,.],.],[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,3,7,6,9,8,10]=>[4,2,5,1,3,7,6,9,8,10]=>[[[.,.],[.,.]],[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[[[.,.],.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,4,6,8,1,3,5,7,9]=>[8,2,1,4,3,6,5,7,9]=>[[[.,.],.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,4,1,5,3,6,7,8,9]=>[4,2,5,1,3,6,7,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,2,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>[.,[[.,.],[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,9,7,8]=>[2,1,4,3,6,5,9,7,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3]=>[[.,.],[[[.,.],[.,[.,[.,[.,.]]]]],.]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[2,1,9,3,4,5,6,7,8]=>[2,1,9,3,4,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,9,1,3,4,5,6,7,8]=>[9,2,1,3,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7,9]=>[3,4,1,2,6,5,8,7,9]=>[[.,[.,.]],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,8,9,2,5,6,7]=>[3,9,1,4,2,5,6,8,7]=>[[.,[.,.]],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,2]=>[3,9,1,4,5,6,7,8,2]=>[[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,7,8,9]=>[4,5,6,1,2,3,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4,9]=>[5,6,7,8,1,2,3,4,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,1,8,2,9,3,4,5,6]=>[7,8,9,3,4,5,1,2,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,.]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[9,1,2,3,4,5,7,8,6]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,9,7,10,8]=>[2,1,4,3,6,5,9,10,7,8]=>[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,10,7,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,10,7,8,9]=>[2,1,4,3,6,5,10,7,8,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,8,6,10,9]=>[2,1,4,3,7,8,5,6,10,9]=>[[.,.],[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,8,5,9,6,10,7]=>[2,1,4,3,8,9,10,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[2,1,4,3,10,5,6,7,8,9]=>[2,1,4,3,10,5,6,7,8,9]=>[[.,.],[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,8,7,10,9]=>[2,1,5,6,3,4,8,7,10,9]=>[[.,.],[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,8,7,10,9]=>[2,1,6,3,5,4,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,9,7,10,8]=>[2,1,5,6,3,4,9,10,7,8]=>[[.,.],[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,5,6,3,4,9,10,7,8]=>[2,1,6,3,5,4,10,7,9,8]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,6,3,7,4,8,5,10,9]=>[2,1,6,7,8,3,4,5,10,9]=>[[.,.],[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,7,3,8,4,9,5,10,6]=>[2,1,7,8,9,10,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[2,1,10,3,4,5,6,7,8,9]=>[2,1,10,3,4,5,6,7,8,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>[10,2,1,3,4,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9]=>[[.,[.,.]],[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,4,1,2,6,5,8,7,10,9]=>[4,1,3,2,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,9,7,10,8]=>[3,4,1,2,6,5,9,10,7,8]=>[[.,[.,.]],[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,8,6,10,9]=>[3,4,1,2,7,8,5,6,10,9]=>[[.,[.,.]],[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6,10,9]=>[4,1,3,2,8,5,7,6,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,8,5,9,6,10,7]=>[3,4,1,2,8,9,10,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,8,9,10,5,6,7]=>[4,1,3,2,10,5,6,8,9,7]=>[[.,.],[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,10,2]=>[3,10,1,4,5,6,7,8,9,2]=>[[.,[.,.]],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,8,7,10,9]=>[4,5,6,1,2,3,8,7,10,9]=>[[.,[.,[.,.]]],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,9,7,10,8]=>[4,5,6,1,2,3,9,10,7,8]=>[[.,[.,[.,.]]],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3,9,10,7,8]=>[6,1,2,4,5,3,10,7,9,8]=>[[.,.],[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,8,4,10,9]=>[5,6,7,8,1,2,3,4,10,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4,10,9]=>[8,1,2,3,5,6,7,4,10,9]=>[[.,.],[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[6,1,7,2,8,3,9,4,10,5]=>[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[10,1,2,3,4,6,7,8,9,5]=>[[.,.],[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[8,1,9,2,10,3,4,5,6,7]=>[8,9,10,3,4,5,6,1,2,7]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7,9]=>[3,5,1,6,2,4,8,7,9]=>[[.,[.,.]],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,5,2,4,7,6,9,8]=>[3,5,1,2,4,7,6,9,8]=>[[.,[.,.]],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,9,8]=>[3,1,2,5,4,7,6,9,8]=>[[.,.],[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7,10,9]=>[3,5,1,6,2,4,8,7,10,9]=>[[.,[.,.]],[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,8,6,10,9]=>[3,5,1,7,2,8,4,6,10,9]=>[[.,[.,.]],[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,7,4,9,6,10,8]=>[3,5,1,7,2,9,4,10,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6,9,8]=>[3,1,2,7,5,4,6,9,8]=>[[.,.],[.,[[[.,.],.],[.,[[.,.],.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,4,7,6,9,8,10]=>[3,1,2,5,4,7,6,9,8,10]=>[[.,.],[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]] [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,9,7,10,8]=>[1,2,3,4,5,6,9,10,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,11,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7,9]=>[4,1,2,3,6,5,8,7,9]=>[[.,.],[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,2,3,4,5,6,7,8,10]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[5,1,6,2,7,3,9,4,8]=>[5,6,7,9,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]] [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]] [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,1,2,4,6,5,8,7,9]=>[3,1,2,4,6,5,8,7,9]=>[[.,.],[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,10,8,9]=>[1,3,2,5,4,7,6,10,8,9]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[.,[.,[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,7,5,9,6,10,8]=>[2,1,4,3,7,9,5,10,6,8]=>[[.,.],[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,9,6,10,8]=>[2,1,5,7,3,9,4,10,6,8]=>[[.,.],[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[[.,.],.],.]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>[.,[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,9,10,6,7,8]=>[1,2,3,4,5,10,6,7,9,8]=>[.,[.,[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]]] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]] [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,11,1,2]=>[11,1,3,4,5,6,7,8,9,10,2]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,2,3,6,5,8,7,10,9]=>[4,1,2,3,6,5,8,7,10,9]=>[[.,.],[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7,10,9]=>[6,1,2,3,4,5,8,7,10,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,6,5,8,7,10,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]]] [1,1,1,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,8,2,9,3]=>[7,8,9,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,6,1,7,3,8,4,9,5]=>[6,2,7,8,9,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,4,5,6,7,8,9,1,10,3]=>[9,2,10,4,5,6,7,8,1,3]=>[[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[3,1,2,4,5,6,7,8,9,10,11]=>[3,1,2,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,2,9]=>[3,8,1,4,5,6,7,2,9]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[1,9,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,9,8]=>[.,[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,9,6,7,10,8]=>[1,2,3,4,5,9,6,10,7,8]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,8,3,9,5,10,7]=>[4,6,8,1,9,2,10,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,6,2,7,3,8,5,10,9]=>[4,6,7,1,8,2,3,5,10,9]=>[[.,[.,[.,.]]],[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,7,4,8,6,10,9]=>[2,1,5,7,3,8,4,6,10,9]=>[[.,.],[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,7,5,9,6,10,8]=>[3,4,1,2,7,9,5,10,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[2,3,9,1,4,5,6,7,8]=>[9,2,3,1,4,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0]=>[2,3,4,10,1,5,6,7,8,9]=>[10,2,3,4,1,5,6,7,8,9]=>[[[.,.],[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,6,2,7,4,8,5,10,9]=>[3,6,1,7,8,2,4,5,10,9]=>[[.,[.,.]],[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,7,3,8,6,10,9]=>[4,5,7,1,2,8,3,6,10,9]=>[[.,[.,[.,.]]],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,6,3,8,5,9,7]=>[4,1,6,2,8,3,9,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[2,8,1,3,4,5,6,7,9]=>[8,2,1,3,4,5,6,7,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[2,1,8,3,4,5,6,7,9]=>[2,1,8,3,4,5,6,7,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[2,9,1,3,4,5,6,7,8,10]=>[9,2,1,3,4,5,6,7,8,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,5,2,6,3,8,7,10,9,12,11]=>[4,5,6,1,2,3,8,7,10,9,12,11]=>[[.,[.,[.,.]]],[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,7,8,5,6,11,12,9,10]=>[4,1,3,2,8,5,7,6,12,9,11,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,12,10,11]=>[1,2,3,4,5,6,7,8,9,12,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]] [1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] [1,1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[3,1,4,5,6,7,8,9,10,11,2]=>[3,11,1,4,5,6,7,8,9,10,2]=>[[.,[.,.]],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,5,3,6,4,8,7,10,9,12,11]=>[2,1,5,6,3,4,8,7,10,9,12,11]=>[[.,.],[[.,[.,.]],[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,5,2,6,4,8,7,10,9,12,11]=>[3,5,1,6,2,4,8,7,10,9,12,11]=>[[.,[.,.]],[[.,.],[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[3,1,2,9,4,5,6,7,8]=>[3,1,2,9,4,5,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[2,11,1,3,4,5,6,7,8,9,10]=>[11,2,1,3,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,0,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,9,10,2]=>[8,10,3,4,5,6,7,1,9,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,6,5,8,7,10,9,12,11]=>[3,4,1,2,6,5,8,7,10,9,12,11]=>[[.,[.,.]],[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,7,2,8,3,9,5,10,6]=>[4,7,8,1,9,10,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]
Map
to 321-avoiding permutation
Description
Sends a Dyck path to a 321-avoiding permutation.
This bijection defined in [3, pp. 60] and in [2, Section 3.1].
It is shown in [1] that it sends the number of centered tunnels to the number of fixed points, the number of right tunnels to the number of exceedences, and the semilength plus the height of the middle point to 2 times the length of the longest increasing subsequence.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
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.