Identifier
Mp00031: to 312-avoiding permutationPermutations
Mp00073: Permutations major-index to inversion-number bijectionPermutations
Mp00069: Permutations complementPermutations
Mp00061: Permutations to increasing tree
Images
=>
Cc0005;cc-rep-0Cc0010;cc-rep-4
[1,0]=>[1]=>[1]=>[1]=>[.,.] [1,0,1,0]=>[1,2]=>[1,2]=>[2,1]=>[[.,.],.] [1,1,0,0]=>[2,1]=>[2,1]=>[1,2]=>[.,[.,.]] [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>[[[.,.],.],.] [1,0,1,1,0,0]=>[1,3,2]=>[2,3,1]=>[2,1,3]=>[[.,.],[.,.]] [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>[2,3,1]=>[[.,[.,.]],.] [1,1,0,1,0,0]=>[2,3,1]=>[3,1,2]=>[1,3,2]=>[.,[[.,.],.]] [1,1,1,0,0,0]=>[3,2,1]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[2,3,4,1]=>[3,2,1,4]=>[[[.,.],.],[.,.]] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[2,3,1,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[2,4,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[3,4,2,1]=>[2,1,3,4]=>[[.,.],[.,[.,.]]] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>[3,4,2,1]=>[[[.,[.,.]],.],.] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[3,2,4,1]=>[2,3,1,4]=>[[.,[.,.]],[.,.]] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,1,2,4]=>[2,4,3,1]=>[[.,[[.,.],.]],.] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[4,1,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[4,2,1,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]] [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[4,3,1,2]=>[1,2,4,3]=>[.,[.,[[.,.],.]]] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[2,3,4,5,1]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[2,3,4,1,5]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[2,3,5,1,4]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[2,3,1,4,5]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[3,4,2,5,1]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[2,4,1,3,5]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[2,5,1,3,4]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[3,5,2,4,1]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[3,4,2,1,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[3,5,2,1,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]] [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[3,5,4,1,2]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[4,5,3,2,1]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[3,2,4,5,1]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[3,2,4,1,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[3,2,5,1,4]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[4,3,5,2,1]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[4,2,3,5,1]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[5,2,3,1,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]] [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[5,2,4,1,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[5,3,4,2,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[4,3,2,5,1]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[4,3,1,2,5]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.] [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]] [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]] [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[5,4,2,3,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]] [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[5,4,2,1,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]] [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.] [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]] [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.] [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]] [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]] [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.] [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]] [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]] [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.] [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]] [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]] [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.] [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]] [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.] [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]] [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]] [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]] [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]] [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]] [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[3,5,2,4,1,6,7]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[3,5,2,1,4,6,7]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[[[[[.,[.,.]],.],.],.],[.,.]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,.],.]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[[[[.,[[.,.],.]],.],.],[.,.]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[[[.,[[.,.],.]],.],[[.,.],.]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[[[.,[[[.,.],.],.]],.],[.,.]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[[.,[[[.,.],.],.]],[[.,.],.]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[[.,[[[[.,.],.],.],.]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],[.,.]],.]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[.,[[[[.,.],.],.],[[.,.],.]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[.,[[[[.,[[.,.],.]],.],.],.]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[.,[[.,[[[[.,.],.],.],.]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[.,[[[[.,[.,[.,.]]],.],.],.]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[.,[[[.,[[.,[.,.]],.]],.],.]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[.,[[[.,[.,[[.,.],.]]],.],.]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[.,[[.,[.,[[[.,.],.],.]]],.]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,[[[.,.],.],.]],.]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,6,7,1,8]=>[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,6,8,1,7]=>[7,6,5,4,3,1,8,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[3,4,5,6,7,8,2,1]=>[6,5,4,3,2,1,7,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[2,3,4,5,6,1,7,8]=>[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[3,4,5,6,7,2,8,1]=>[6,5,4,3,2,7,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[2,3,4,5,8,1,6,7]=>[7,6,5,4,1,8,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[3,4,5,6,8,2,1,7]=>[6,5,4,3,1,7,8,2]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,6,5]=>[3,4,5,6,8,7,1,2]=>[6,5,4,3,1,2,8,7]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[3,4,5,6,2,7,1,8]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[3,4,5,6,2,8,1,7]=>[6,5,4,3,7,1,8,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[3,4,5,7,2,6,8,1]=>[6,5,4,2,7,3,1,8]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,6,4]=>[3,4,5,8,2,7,1,6]=>[6,5,4,1,7,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[4,5,6,8,3,7,2,1]=>[5,4,3,1,6,2,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,5,4,7,8]=>[3,4,5,6,2,1,7,8]=>[6,5,4,3,7,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[3,4,5,7,2,1,6,8]=>[6,5,4,2,7,8,3,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[4,5,6,8,3,2,7,1]=>[5,4,3,1,6,7,2,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,7,5,4]=>[4,5,6,8,7,2,3,1]=>[5,4,3,1,2,7,6,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[4,5,6,8,3,2,1,7]=>[5,4,3,1,6,7,8,2]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[3,4,5,2,6,1,7,8]=>[6,5,4,7,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[3,4,5,2,7,1,6,8]=>[6,5,4,7,2,8,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[4,5,6,3,8,2,1,7]=>[5,4,3,6,1,7,8,2]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,7,8,6,5]=>[4,5,6,3,8,7,1,2]=>[5,4,3,6,1,2,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[2,3,5,1,4,6,7,8]=>[7,6,4,8,5,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[3,4,6,2,5,8,1,7]=>[6,5,3,7,4,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>[4,5,7,3,6,8,2,1]=>[5,4,2,6,3,1,7,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[2,3,6,1,4,5,7,8]=>[7,6,3,8,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[2,3,8,1,4,5,6,7]=>[7,6,1,8,5,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]=>[3,4,8,2,5,6,7,1]=>[6,5,1,7,4,3,2,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,7,8,6,3]=>[3,4,8,2,5,7,1,6]=>[6,5,1,7,4,2,8,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]=>[4,5,8,3,6,7,2,1]=>[5,4,1,6,3,2,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,5,3,7,8]=>[3,4,6,2,5,1,7,8]=>[6,5,3,7,4,8,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,4,6,5,7,3,8]=>[3,4,7,2,5,1,6,8]=>[6,5,2,7,4,8,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,4,6,5,7,8,3]=>[3,4,8,2,5,1,6,7]=>[6,5,1,7,4,8,3,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,6,7,8,5,3]=>[3,4,8,2,7,1,5,6]=>[6,5,1,7,2,8,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,6,8,7,5,3]=>[4,5,8,3,7,2,6,1]=>[5,4,1,6,2,7,3,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]=>[4,5,8,3,6,2,1,7]=>[5,4,1,6,3,7,8,2]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,7,6,8,5,3]=>[4,5,8,3,7,2,1,6]=>[5,4,1,6,2,7,8,3]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,7,8,6,5,3]=>[4,5,8,3,7,6,1,2]=>[5,4,1,6,2,3,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[4,5,6,3,2,8,1,7]=>[5,4,3,6,7,1,8,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]=>[5,6,7,4,3,8,2,1]=>[4,3,2,5,6,1,7,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]=>[3,4,7,2,1,5,6,8]=>[6,5,2,7,8,4,3,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,5,4,6,8,7,3]=>[4,5,8,3,2,6,7,1]=>[5,4,1,6,7,3,2,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,7,8,6,3]=>[4,5,8,3,2,7,1,6]=>[5,4,1,6,7,2,8,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,4,3,7,8]=>[3,4,6,5,1,2,7,8]=>[6,5,3,4,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,5,6,7,4,8,3]=>[3,4,8,6,1,2,5,7]=>[6,5,1,3,8,7,4,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,4,3]=>[3,4,8,7,1,2,5,6]=>[6,5,1,2,8,7,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,8,7,4,3]=>[4,5,8,7,2,3,6,1]=>[5,4,1,2,7,6,3,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,5,7,6,4,3,8]=>[4,5,7,6,2,3,1,8]=>[5,4,2,3,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,8,7,6,4,3]=>[5,6,8,7,3,4,2,1]=>[4,3,1,2,6,5,7,8]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[4,5,6,3,2,1,7,8]=>[5,4,3,6,7,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[4,5,8,3,2,1,6,7]=>[5,4,1,6,7,8,3,2]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,6,7,8,5,4,3]=>[4,5,8,7,6,1,2,3]=>[5,4,1,2,3,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,6,5,4,8,3]=>[5,6,8,4,3,2,1,7]=>[4,3,1,5,6,7,8,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,7,6,5,8,4,3]=>[5,6,8,7,3,2,1,4]=>[4,3,1,2,6,7,8,5]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[3,4,2,5,6,7,1,8]=>[6,5,7,4,3,2,8,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[3,4,2,5,6,8,1,7]=>[6,5,7,4,3,1,8,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]=>[4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,6,7,5,8]=>[3,4,2,5,7,1,6,8]=>[6,5,7,4,2,8,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>[4,5,3,6,8,2,1,7]=>[5,4,6,3,1,7,8,2]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[4,5,3,6,2,7,1,8]=>[5,4,6,3,7,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[4,5,3,6,2,8,1,7]=>[5,4,6,3,7,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[5,6,4,7,3,8,2,1]=>[4,3,5,2,6,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[3,4,2,6,1,5,7,8]=>[6,5,7,3,8,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.] [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2,5,6,4,8,7]=>[4,5,3,7,2,6,8,1]=>[5,4,6,2,7,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[3,4,2,7,1,5,6,8]=>[6,5,7,2,8,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[3,4,2,8,1,5,6,7]=>[6,5,7,1,8,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[4,5,3,7,2,6,1,8]=>[5,4,6,2,7,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[4,5,3,8,2,6,1,7]=>[5,4,6,1,7,3,8,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]] [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,6,4]=>[4,5,3,8,2,7,1,6]=>[5,4,6,1,7,2,8,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]] [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]=>[5,6,4,8,3,7,2,1]=>[4,3,5,1,6,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[4,5,3,7,2,1,6,8]=>[5,4,6,2,7,8,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]=>[4,5,3,8,2,1,6,7]=>[5,4,6,1,7,8,3,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,6,7,5,8,4]=>[4,5,3,8,6,1,2,7]=>[5,4,6,1,3,8,7,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,6,8,7,5,4]=>[5,6,4,8,7,2,3,1]=>[4,3,5,1,2,7,6,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[5,6,4,8,3,2,1,7]=>[4,3,5,1,6,7,8,2]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[7,5,8,6,4,3,2,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[3,5,2,4,6,7,8,1]=>[6,4,7,5,3,2,1,8]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]=>[3,5,2,4,6,7,1,8]=>[6,4,7,5,3,2,8,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,7,6]=>[4,6,3,5,7,8,2,1]=>[5,3,6,4,2,1,7,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[4,6,3,5,7,2,8,1]=>[5,3,6,4,2,7,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[3,5,2,4,7,1,6,8]=>[6,4,7,5,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]=>[4,6,3,5,8,2,7,1]=>[5,3,6,4,1,7,2,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,7,8,6,5]=>[4,6,3,5,8,7,1,2]=>[5,3,6,4,1,2,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[5,7,4,6,8,3,2,1]=>[4,2,5,3,1,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[2,5,1,3,4,6,7,8]=>[7,4,8,6,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[3,6,2,4,5,7,1,8]=>[6,3,7,5,4,2,8,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[4,7,3,5,6,8,2,1]=>[5,2,6,4,3,1,7,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[2,6,1,3,4,5,7,8]=>[7,3,8,6,5,4,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]=>[3,7,2,4,5,6,8,1]=>[6,2,7,5,4,3,1,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[2,7,1,3,4,5,6,8]=>[7,2,8,6,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[2,8,1,3,4,5,6,7]=>[7,1,8,6,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,7,8,6,2]=>[3,8,2,4,5,7,1,6]=>[6,1,7,5,4,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[4,8,3,5,6,7,2,1]=>[5,1,6,4,3,2,7,8]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[3,7,2,4,5,1,6,8]=>[6,2,7,5,4,8,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,4,6,7,5,2,8]=>[3,7,2,4,6,1,5,8]=>[6,2,7,5,3,8,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,6,7,5,8,2]=>[3,8,2,4,6,1,5,7]=>[6,1,7,5,3,8,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]] [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,6,7,8,5,2]=>[3,8,2,4,7,1,5,6]=>[6,1,7,5,2,8,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[3,5,2,4,1,6,7,8]=>[6,4,7,5,8,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]=>[4,6,3,5,2,7,8,1]=>[5,3,6,4,7,2,1,8]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[4,6,3,5,2,7,1,8]=>[5,3,6,4,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[4,6,3,5,2,8,1,7]=>[5,3,6,4,7,1,8,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]=>[3,8,2,4,1,5,6,7]=>[6,1,7,5,8,4,3,2]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[4,7,3,5,2,6,1,8]=>[5,2,6,4,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[4,8,3,5,2,6,1,7]=>[5,1,6,4,7,3,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,4,7,8,6,2]=>[4,8,3,5,2,7,1,6]=>[5,1,6,4,7,2,8,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,5,6,4,2,7,8]=>[3,6,2,5,1,4,7,8]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,4,7,2,8]=>[3,7,2,5,1,4,6,8]=>[6,2,7,4,8,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,5,6,4,7,8,2]=>[3,8,2,5,1,4,6,7]=>[6,1,7,4,8,5,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,4,2,8]=>[3,7,2,6,1,4,5,8]=>[6,2,7,3,8,5,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,5,6,7,4,8,2]=>[3,8,2,6,1,4,5,7]=>[6,1,7,3,8,5,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,4,2]=>[3,8,2,7,1,4,5,6]=>[6,1,7,2,8,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,5,6,8,7,4,2]=>[4,8,3,7,2,5,6,1]=>[5,1,6,2,7,4,3,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,6,4,2,8]=>[4,7,3,6,2,5,1,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,5,7,6,4,8,2]=>[4,8,3,6,2,5,1,7]=>[5,1,6,3,7,4,8,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,6,8,4,2]=>[4,8,3,7,2,5,1,6]=>[5,1,6,2,7,4,8,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,6,4,2]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,7,6,4,2]=>[5,8,4,7,3,6,2,1]=>[4,1,5,2,6,3,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>[4,7,3,5,2,1,6,8]=>[5,2,6,4,7,8,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,3,6,5,7,4,2,8]=>[4,7,3,6,2,1,5,8]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,6,5,7,4,8,2]=>[4,8,3,6,2,1,5,7]=>[5,1,6,3,7,8,4,2]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,6,5,7,8,4,2]=>[4,8,3,7,2,1,5,6]=>[5,1,6,2,7,8,4,3]=>[[.,.],[[.,.],[[[.,[.,.]],.],.]]] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,5,8,4,2]=>[4,8,3,7,5,1,2,6]=>[5,1,6,2,4,8,7,3]=>[[.,.],[[.,.],[[.,[[.,.],.]],.]]] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,6,8,7,5,4,2]=>[5,8,4,7,6,2,3,1]=>[4,1,5,2,3,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]=>[5,7,4,6,3,2,1,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[6,8,5,7,4,3,2,1]=>[3,1,4,2,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>[4,5,3,2,6,7,8,1]=>[5,4,6,7,3,2,1,8]=>[[[[[.,.],[.,[.,.]]],.],.],[.,.]] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[4,5,3,2,6,8,1,7]=>[5,4,6,7,3,1,8,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[4,5,3,2,7,1,6,8]=>[5,4,6,7,2,8,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[4,5,3,2,8,1,6,7]=>[5,4,6,7,1,8,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[5,6,4,3,7,2,1,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[5,6,4,3,8,2,1,7]=>[4,3,5,6,1,7,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,3,5,2,6,7,8]=>[3,5,2,1,4,6,7,8]=>[6,4,7,8,5,3,2,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>[4,6,3,2,5,7,1,8]=>[5,3,6,7,4,2,8,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,3,5,2,7,8,6]=>[4,6,3,2,5,8,1,7]=>[5,3,6,7,4,1,8,2]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,3,5,6,2,7,8]=>[3,6,2,1,4,5,7,8]=>[6,3,7,8,5,4,2,1]=>[[[[.,.],[[[.,[.,.]],.],.]],.],.] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]=>[3,8,2,1,4,5,6,7]=>[6,1,7,8,5,4,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>[4,7,3,2,5,6,1,8]=>[5,2,6,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,7,8,6,2]=>[4,8,3,2,5,7,1,6]=>[5,1,6,7,4,2,8,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>[5,8,4,3,6,7,2,1]=>[4,1,5,6,3,2,7,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[4,6,3,2,5,1,7,8]=>[5,3,6,7,4,8,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[4,7,3,2,5,1,6,8]=>[5,2,6,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[4,8,3,2,5,1,6,7]=>[5,1,6,7,4,8,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]] [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,3,6,7,5,8,2]=>[4,8,3,2,6,1,5,7]=>[5,1,6,7,3,8,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,6,7,8,5,2]=>[4,8,3,2,7,1,5,6]=>[5,1,6,7,2,8,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,7,8,6,5,2]=>[5,8,4,3,7,6,1,2]=>[4,1,5,6,2,3,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[6,8,5,4,7,3,2,1]=>[3,1,4,5,2,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,4,5,3,2,6,8,7]=>[4,6,5,2,3,7,8,1]=>[5,3,4,7,6,2,1,8]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,3,2,8]=>[3,7,6,1,2,4,5,8]=>[6,2,3,8,7,5,4,1]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,7,3,8,2]=>[3,8,6,1,2,4,5,7]=>[6,1,3,8,7,5,4,2]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]] [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,8,7,6,3,2]=>[5,8,7,3,4,6,2,1]=>[4,1,2,6,5,3,7,8]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,4,6,7,5,3,2,8]=>[4,7,6,2,5,1,3,8]=>[5,2,3,7,4,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,4,6,7,8,5,3,2]=>[4,8,7,2,6,1,3,5]=>[5,1,2,7,3,8,6,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,4,6,8,7,5,3,2]=>[5,8,7,3,6,2,4,1]=>[4,1,2,6,3,7,5,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,6,5,8,3,2]=>[5,8,7,3,4,2,1,6]=>[4,1,2,6,5,7,8,3]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]] [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,6,5,3,2]=>[5,8,7,3,6,4,1,2]=>[4,1,2,6,3,5,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.] [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[5,6,4,3,2,8,1,7]=>[4,3,5,6,7,1,8,2]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[6,7,5,4,3,8,2,1]=>[3,2,4,5,6,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>[4,6,3,2,1,5,7,8]=>[5,3,6,7,8,4,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,5,4,3,6,7,2,8]=>[4,7,3,2,1,5,6,8]=>[5,2,6,7,8,4,3,1]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[4,8,3,2,1,5,6,7]=>[5,1,6,7,8,4,3,2]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,5,4,6,3,2,8,7]=>[5,7,6,3,2,4,8,1]=>[4,2,3,6,7,5,1,8]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,4,6,3,7,2,8]=>[4,7,5,2,1,3,6,8]=>[5,2,4,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,4,6,7,3,8,2]=>[4,8,6,2,1,3,5,7]=>[5,1,3,7,8,6,4,2]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,4,6,7,8,3,2]=>[4,8,7,2,1,3,5,6]=>[5,1,2,7,8,6,4,3]=>[[.,.],[.,[[[[.,[.,.]],.],.],.]]] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,5,4,6,8,7,3,2]=>[5,8,7,3,2,4,6,1]=>[4,1,2,6,7,5,3,8]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,4,7,8,6,3,2]=>[5,8,7,3,2,6,1,4]=>[4,1,2,6,7,3,8,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,4,3,2]=>[4,8,7,6,1,2,3,5]=>[5,1,2,3,8,7,6,4]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,5,7,6,8,4,3,2]=>[5,8,7,6,2,3,1,4]=>[4,1,2,3,7,6,8,5]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]=>[5,6,4,3,2,1,7,8]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,5,4,3,2,8,7]=>[6,7,5,4,3,2,8,1]=>[3,2,4,5,6,7,1,8]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[5,8,4,3,2,1,6,7]=>[4,1,5,6,7,8,3,2]=>[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[6,8,5,4,3,2,7,1]=>[3,1,4,5,6,7,2,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,6,5,4,7,8,3,2]=>[5,8,7,3,2,1,4,6]=>[4,1,2,6,7,8,5,3]=>[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,6,5,4,8,7,3,2]=>[6,8,7,4,3,2,5,1]=>[3,1,2,5,6,7,4,8]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,5,7,4,3,8,2]=>[5,8,6,4,2,1,3,7]=>[4,1,3,5,7,8,6,2]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,5,7,8,4,3,2]=>[5,8,7,6,2,1,3,4]=>[4,1,2,3,7,8,6,5]=>[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,5,8,7,4,3,2]=>[6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,5,4,3,2,8]=>[5,7,6,4,3,1,2,8]=>[4,2,3,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,7,5,4,3,8,2]=>[5,8,6,4,3,1,2,7]=>[4,1,3,5,6,8,7,2]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,5,8,4,3,2]=>[5,8,7,6,3,1,2,4]=>[4,1,2,3,6,8,7,5]=>[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,5,4,3,2]=>[5,8,7,6,4,1,2,3]=>[4,1,2,3,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,7,5,4,3,2]=>[6,8,7,5,4,2,3,1]=>[3,1,2,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]=>[6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[6,8,5,4,3,2,1,7]=>[3,1,4,5,6,7,8,2]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,6,5,4,8,3,2]=>[6,8,7,4,3,2,1,5]=>[3,1,2,5,6,7,8,4]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,6,5,8,4,3,2]=>[6,8,7,5,3,2,1,4]=>[3,1,2,4,6,7,8,5]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,6,8,5,4,3,2]=>[6,8,7,5,4,2,1,3]=>[3,1,2,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,6,5,4,3,2]=>[6,8,7,5,4,3,1,2]=>[3,1,2,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[3,2,4,5,6,7,1,8]=>[6,7,5,4,3,2,8,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,7,6]=>[4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[3,2,4,5,6,1,7,8]=>[6,7,5,4,3,8,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[4,3,5,6,7,2,8,1]=>[5,6,4,3,2,7,1,8]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,7,8,6,5]=>[4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[4,3,5,6,2,7,8,1]=>[5,6,4,3,7,2,1,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]] [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[4,3,5,6,2,8,1,7]=>[5,6,4,3,7,1,8,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>[5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]=>[4,3,5,7,2,6,8,1]=>[5,6,4,2,7,3,1,8]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[3,2,4,8,1,5,6,7]=>[6,7,5,1,8,4,3,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]] [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,3,5,7,6,8,4]=>[4,3,5,8,2,6,1,7]=>[5,6,4,1,7,3,8,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]] [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,7,8,6,5,4]=>[5,4,6,8,7,3,1,2]=>[4,5,3,1,2,6,8,7]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>[4,3,5,2,7,1,6,8]=>[5,6,4,7,2,8,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[4,3,5,2,8,1,6,7]=>[5,6,4,7,1,8,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[5,4,6,3,8,2,7,1]=>[4,5,3,6,1,7,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,6,5]=>[5,4,6,3,8,7,1,2]=>[4,5,3,6,1,2,8,7]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[3,2,5,1,4,6,7,8]=>[6,7,4,8,5,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[4,3,6,2,5,7,8,1]=>[5,6,3,7,4,2,1,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]] [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,4,5,3,8,7,6]=>[5,4,7,3,6,8,2,1]=>[4,5,2,6,3,1,7,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[4,3,7,2,5,6,8,1]=>[5,6,2,7,4,3,1,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[3,2,8,1,4,5,6,7]=>[6,7,1,8,5,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]=>[4,3,8,2,5,6,7,1]=>[5,6,1,7,4,3,2,8]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,6,3]=>[4,3,8,2,5,7,1,6]=>[5,6,1,7,4,2,8,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[5,4,8,3,6,7,2,1]=>[4,5,1,6,3,2,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>[4,3,6,2,5,1,7,8]=>[5,6,3,7,4,8,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[5,4,7,3,6,2,8,1]=>[4,5,2,6,3,7,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[5,4,8,3,6,2,7,1]=>[4,5,1,6,3,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,5,3,8]=>[4,3,7,2,6,1,5,8]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,6,7,5,8,3]=>[4,3,8,2,6,1,5,7]=>[5,6,1,7,3,8,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,6,7,8,5,3]=>[4,3,8,2,7,1,5,6]=>[5,6,1,7,2,8,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,7,5,3]=>[5,4,8,3,7,2,6,1]=>[4,5,1,6,2,7,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,7,6,8,5,3]=>[5,4,8,3,7,2,1,6]=>[4,5,1,6,2,7,8,3]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,7,8,6,5,3]=>[5,4,8,3,7,6,1,2]=>[4,5,1,6,2,3,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[6,5,8,4,7,3,2,1]=>[3,4,1,5,2,6,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.] [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,5,4,3,7,6,8]=>[5,4,6,3,2,7,1,8]=>[4,5,3,6,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,5,4,3,8,7,6]=>[6,5,7,4,3,8,2,1]=>[3,4,2,5,6,1,7,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[5,4,7,3,2,6,8,1]=>[4,5,2,6,7,3,1,8]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,4,6,7,8,3]=>[4,3,8,2,1,5,6,7]=>[5,6,1,7,8,4,3,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]] [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,4,6,8,7,3]=>[5,4,8,3,2,6,7,1]=>[4,5,1,6,7,3,2,8]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[5,4,8,3,2,6,1,7]=>[4,5,1,6,7,3,8,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,4,7,8,6,3]=>[5,4,8,3,2,7,1,6]=>[4,5,1,6,7,2,8,3]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,4,8,7,6,3]=>[6,5,8,4,3,7,2,1]=>[3,4,1,5,6,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,6,4,3,7,8]=>[4,3,6,5,1,2,7,8]=>[5,6,3,4,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,4,3,8,7]=>[5,4,7,6,2,3,8,1]=>[4,5,2,3,7,6,1,8]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,5,6,4,7,8,3]=>[4,3,8,5,1,2,6,7]=>[5,6,1,4,8,7,3,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,5,6,4,8,7,3]=>[5,4,8,6,2,3,7,1]=>[4,5,1,3,7,6,2,8]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,4,3]=>[4,3,8,7,1,2,5,6]=>[5,6,1,2,8,7,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,5,6,8,7,4,3]=>[5,4,8,7,2,3,6,1]=>[4,5,1,2,7,6,3,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,5,7,6,4,8,3]=>[5,4,8,6,2,3,1,7]=>[4,5,1,3,7,6,8,2]=>[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,6,8,4,3]=>[5,4,8,7,2,3,1,6]=>[4,5,1,2,7,6,8,3]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,6,4,3]=>[5,4,8,7,2,6,1,3]=>[4,5,1,2,7,3,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,7,6,4,3]=>[6,5,8,7,3,4,2,1]=>[3,4,1,2,6,5,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[6,5,7,4,3,2,8,1]=>[3,4,2,5,6,7,1,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,5,4,8,7,3]=>[6,5,8,4,3,2,7,1]=>[3,4,1,5,6,7,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,5,7,8,4,3]=>[5,4,8,7,2,1,3,6]=>[4,5,1,2,7,8,6,3]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,5,8,7,4,3]=>[6,5,8,7,3,2,4,1]=>[3,4,1,2,6,7,5,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,5,8,4,3]=>[5,4,8,7,3,1,2,6]=>[4,5,1,2,6,8,7,3]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,5,4,3]=>[5,4,8,7,6,1,2,3]=>[4,5,1,2,3,8,7,6]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,6,8,7,5,4,3]=>[6,5,8,7,4,2,3,1]=>[3,4,1,2,5,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,7,6,5,4,3,8]=>[6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,6,5,4,8,3]=>[6,5,8,4,3,2,1,7]=>[3,4,1,5,6,7,8,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,6,5,8,4,3]=>[6,5,8,7,3,2,1,4]=>[3,4,1,2,6,7,8,5]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,6,8,5,4,3]=>[6,5,8,7,4,2,1,3]=>[3,4,1,2,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,6,5,4,3]=>[6,5,8,7,4,3,1,2]=>[3,4,1,2,5,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[[[[[[.,[[.,.],.]],.],.],.],.],.] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[4,2,3,5,6,7,1,8]=>[5,7,6,4,3,2,8,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[4,2,3,5,6,8,1,7]=>[5,7,6,4,3,1,8,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[4,2,3,5,8,1,6,7]=>[5,7,6,4,1,8,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[5,3,4,6,8,2,1,7]=>[4,6,5,3,1,7,8,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,6,5]=>[5,3,4,6,8,7,1,2]=>[4,6,5,3,1,2,8,7]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[5,3,4,6,2,7,1,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[4,2,3,8,1,5,6,7]=>[5,7,6,1,8,4,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]] [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]=>[5,3,4,8,2,6,1,7]=>[4,6,5,1,7,3,8,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[5,3,4,7,2,1,6,8]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,6,7,5,4,8]=>[5,3,4,7,6,1,2,8]=>[4,6,5,2,3,8,7,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,7,6,5,8,4]=>[6,4,5,8,3,2,1,7]=>[3,5,4,1,6,7,8,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[[[[[.,[[[.,.],.],.]],.],.],.],.] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[5,2,3,4,6,7,1,8]=>[4,7,6,5,3,2,8,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[6,3,4,5,7,8,2,1]=>[3,6,5,4,2,1,7,8]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[5,2,3,4,7,1,6,8]=>[4,7,6,5,2,8,3,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[5,2,3,4,8,1,6,7]=>[4,7,6,5,1,8,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[6,3,4,5,8,2,7,1]=>[3,6,5,4,1,7,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,6,5]=>[6,3,4,5,8,7,1,2]=>[3,6,5,4,1,2,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[[[[.,[[[[.,.],.],.],.]],.],.],.] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[6,2,3,4,5,8,1,7]=>[3,7,6,5,4,1,8,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>[[[.,[[[[[.,.],.],.],.],.]],.],.] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[7,2,3,4,5,6,8,1]=>[2,7,6,5,4,3,1,8]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[2,8,7,6,5,4,3,1]=>[[.,[[[[[[.,.],.],.],.],.],.]],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,6,1,7]=>[1,7,6,5,4,3,8,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,6,1]=>[8,2,3,4,5,7,1,6]=>[1,7,6,5,4,2,8,3]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[8,3,4,5,6,7,2,1]=>[1,6,5,4,3,2,7,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[7,2,3,4,5,1,6,8]=>[2,7,6,5,4,8,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,5,1,6,7]=>[1,7,6,5,4,8,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,6,7,5,8,1]=>[8,2,3,4,6,1,5,7]=>[1,7,6,5,3,8,4,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,5,1]=>[8,2,3,4,7,1,5,6]=>[1,7,6,5,2,8,4,3]=>[.,[[[[.,.],.],.],[[[.,.],.],.]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,7,6,8,5,1]=>[8,3,4,5,7,2,1,6]=>[1,6,5,4,2,7,8,3]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[8,4,5,6,7,3,2,1]=>[1,5,4,3,2,6,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.] [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,4,1,6,8,7]=>[6,3,4,5,2,7,8,1]=>[3,6,5,4,7,2,1,8]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[6,3,4,5,2,7,1,8]=>[3,6,5,4,7,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,1,7,8]=>[6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>[8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,5,6,4,1,7,8]=>[6,2,3,5,1,4,7,8]=>[3,7,6,4,8,5,2,1]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.] [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,5,6,4,1,8,7]=>[7,3,4,6,2,5,8,1]=>[2,6,5,3,7,4,1,8]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,5,6,4,7,1,8]=>[7,2,3,5,1,4,6,8]=>[2,7,6,4,8,5,3,1]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,4,7,8,1]=>[8,2,3,5,1,4,6,7]=>[1,7,6,4,8,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,4,1,8]=>[7,2,3,6,1,4,5,8]=>[2,7,6,3,8,5,4,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,4,1]=>[8,2,3,7,1,4,5,6]=>[1,7,6,2,8,5,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,8,7,4,1]=>[8,3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,5,7,6,4,1,8]=>[7,3,4,6,2,5,1,8]=>[2,6,5,3,7,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,7,6,8,4,1]=>[8,3,4,7,2,5,1,6]=>[1,6,5,2,7,4,8,3]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]] [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,7,8,6,4,1]=>[8,3,4,7,2,6,1,5]=>[1,6,5,2,7,3,8,4]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]] [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,8,7,6,4,1]=>[8,4,5,7,3,6,2,1]=>[1,5,4,2,6,3,7,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,6,5,7,4,1,8]=>[7,3,4,6,2,1,5,8]=>[2,6,5,3,7,8,4,1]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,6,5,8,7,4,1]=>[8,4,5,7,3,2,6,1]=>[1,5,4,2,6,7,3,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,6,7,8,5,4,1]=>[8,3,4,7,6,1,2,5]=>[1,6,5,2,3,8,7,4]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[6,4,5,3,8,2,7,1]=>[3,5,4,6,1,7,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[6,4,5,3,8,2,1,7]=>[3,5,4,6,1,7,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,7,8,6,5]=>[6,4,5,3,8,7,1,2]=>[3,5,4,6,1,2,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,7,1,8]=>[7,2,3,1,4,5,6,8]=>[2,7,6,8,5,4,3,1]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[8,3,4,2,5,6,7,1]=>[1,6,5,7,4,3,2,8]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]=>[8,3,4,2,5,6,1,7]=>[1,6,5,7,4,3,8,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,4,3,5,8,7,6,1]=>[8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,6,7,5,8,1]=>[8,3,4,2,6,1,5,7]=>[1,6,5,7,3,8,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,8,7,5,1]=>[8,4,5,3,7,2,6,1]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[8,4,5,3,6,2,1,7]=>[1,5,4,6,3,7,8,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[8,5,6,4,7,3,2,1]=>[1,4,3,5,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[2,4,5,3,1,6,8,7]=>[6,3,5,2,4,7,8,1]=>[3,6,4,7,5,2,1,8]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,4,5,3,1,7,6,8]=>[6,3,5,2,4,7,1,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,4,5,3,1,7,8,6]=>[6,3,5,2,4,8,1,7]=>[3,6,4,7,5,1,8,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,4,5,3,6,1,8,7]=>[7,3,5,2,4,6,8,1]=>[2,6,4,7,5,3,1,8]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,4,5,3,6,7,8,1]=>[8,2,4,1,3,5,6,7]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,4,5,3,6,8,7,1]=>[8,3,5,2,4,6,7,1]=>[1,6,4,7,5,3,2,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,3,8,7,6,1]=>[8,4,6,3,5,7,2,1]=>[1,5,3,6,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,6,3,7,1,8]=>[7,2,5,1,3,4,6,8]=>[2,7,4,8,6,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,6,3,7,8,1]=>[8,2,5,1,3,4,6,7]=>[1,7,4,8,6,5,3,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,4,5,7,8,6,3,1]=>[8,3,7,2,4,6,1,5]=>[1,6,2,7,5,3,8,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,4,6,5,3,1,7,8]=>[6,3,5,2,4,1,7,8]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,5,3,1,8,7]=>[7,4,6,3,5,2,8,1]=>[2,5,3,6,4,7,1,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,5,3,8,7,1]=>[8,4,6,3,5,2,7,1]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,5,7,3,8,1]=>[8,3,6,2,4,1,5,7]=>[1,6,3,7,5,8,4,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]] [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,4,6,5,7,8,3,1]=>[8,3,7,2,4,1,5,6]=>[1,6,2,7,5,8,4,3]=>[.,[[.,.],[[[[.,.],[.,.]],.],.]]] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,5,8,7,3,1]=>[8,4,7,3,5,2,6,1]=>[1,5,2,6,4,7,3,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,4,6,7,5,3,8,1]=>[8,3,6,2,5,1,4,7]=>[1,6,3,7,4,8,5,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[2,4,6,7,5,8,3,1]=>[8,3,7,2,5,1,4,6]=>[1,6,2,7,4,8,5,3]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,4,6,7,8,5,3,1]=>[8,3,7,2,6,1,4,5]=>[1,6,2,7,3,8,5,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,7,5,3,1]=>[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[2,4,7,6,5,8,3,1]=>[8,4,7,3,5,2,1,6]=>[1,5,2,6,4,7,8,3]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,6,5,3,1]=>[8,4,7,3,6,5,1,2]=>[1,5,2,6,3,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,7,6,5,3,1]=>[8,5,7,4,6,3,2,1]=>[1,4,2,5,3,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.] [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,4,3,1,7,6,8]=>[6,4,5,3,2,7,1,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.] [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,5,4,3,1,7,8,6]=>[6,4,5,3,2,8,1,7]=>[3,5,4,6,7,1,8,2]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]=>[7,4,5,3,2,6,8,1]=>[2,5,4,6,7,3,1,8]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[8,4,5,3,2,6,7,1]=>[1,5,4,6,7,3,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>[8,4,5,3,2,6,1,7]=>[1,5,4,6,7,3,8,2]=>[.,[[[[.,.],[.,[.,.]]],[.,.]],.]] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>[8,5,6,4,3,7,2,1]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,5,4,6,3,7,1,8]=>[7,3,5,2,1,4,6,8]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,5,4,6,3,7,8,1]=>[8,3,5,2,1,4,6,7]=>[1,6,4,7,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,5,4,6,7,3,1,8]=>[7,3,6,2,1,4,5,8]=>[2,6,3,7,8,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,4,6,7,3,8,1]=>[8,3,6,2,1,4,5,7]=>[1,6,3,7,8,5,4,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,5,6,4,3,7,8,1]=>[8,3,5,4,1,2,6,7]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,5,6,4,7,3,1,8]=>[7,3,6,4,1,2,5,8]=>[2,6,3,5,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,5,6,4,8,7,3,1]=>[8,4,7,5,2,3,6,1]=>[1,5,2,4,7,6,3,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,5,6,7,4,3,8,1]=>[8,3,6,5,1,2,4,7]=>[1,6,3,4,8,7,5,2]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]] [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,5,6,7,4,8,3,1]=>[8,3,7,5,1,2,4,6]=>[1,6,2,4,8,7,5,3]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[2,5,7,6,4,3,1,8]=>[7,4,6,5,2,3,1,8]=>[2,5,3,4,7,6,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,5,8,7,6,4,3,1]=>[8,5,7,6,3,4,2,1]=>[1,4,2,3,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,5,4,3,1,8,7]=>[7,5,6,4,3,2,8,1]=>[2,4,3,5,6,7,1,8]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]=>[8,5,6,4,3,2,7,1]=>[1,4,3,5,6,7,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,6,5,4,7,8,3,1]=>[8,4,7,3,2,1,5,6]=>[1,5,2,6,7,8,4,3]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,6,5,4,8,7,3,1]=>[8,5,7,4,3,2,6,1]=>[1,4,2,5,6,7,3,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,6,5,7,4,3,8,1]=>[8,4,6,5,2,1,3,7]=>[1,5,3,4,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,6,7,5,4,3,1,8]=>[7,4,6,5,3,1,2,8]=>[2,5,3,4,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,6,7,5,4,8,3,1]=>[8,4,7,5,3,1,2,6]=>[1,5,2,4,6,8,7,3]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,6,7,5,8,4,3,1]=>[8,4,7,6,3,1,2,5]=>[1,5,2,3,6,8,7,4]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,5,4,3,1]=>[8,4,7,6,5,1,2,3]=>[1,5,2,3,4,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,6,8,7,5,4,3,1]=>[8,5,7,6,4,2,3,1]=>[1,4,2,3,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,6,5,4,3,8,1]=>[8,5,6,4,3,2,1,7]=>[1,4,3,5,6,7,8,2]=>[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,6,5,4,8,3,1]=>[8,5,7,4,3,2,1,6]=>[1,4,2,5,6,7,8,3]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,7,6,8,5,4,3,1]=>[8,5,7,6,4,2,1,3]=>[1,4,2,3,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,6,5,4,3,1]=>[8,5,7,6,4,3,1,2]=>[1,4,2,3,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[4,3,2,5,6,8,1,7]=>[5,6,7,4,3,1,8,2]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[5,4,3,6,7,2,1,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>[5,4,3,6,8,2,1,7]=>[4,5,6,3,1,7,8,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,7,8,6,5]=>[5,4,3,6,8,7,1,2]=>[4,5,6,3,1,2,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8]=>[4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[5,4,3,6,2,7,1,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[4,3,2,6,1,5,7,8]=>[5,6,7,3,8,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.] [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,5,6,7,4,8]=>[4,3,2,7,1,5,6,8]=>[5,6,7,2,8,4,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[4,3,2,8,1,5,6,7]=>[5,6,7,1,8,4,3,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[5,4,3,8,2,6,7,1]=>[4,5,6,1,7,3,2,8]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>[5,4,3,7,2,6,1,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,1,5,7,6,8,4]=>[5,4,3,8,2,6,1,7]=>[4,5,6,1,7,3,8,2]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,7,8,6,4]=>[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[6,5,4,8,3,7,2,1]=>[3,4,5,1,6,2,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]=>[5,4,3,7,2,1,6,8]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[5,4,3,8,2,1,6,7]=>[4,5,6,1,7,8,3,2]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[6,5,4,8,3,2,7,1]=>[3,4,5,1,6,7,2,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,6,7,8,5,4]=>[5,4,3,8,7,1,2,6]=>[4,5,6,1,2,8,7,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[6,5,4,7,3,2,1,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>[6,5,4,8,3,2,1,7]=>[3,4,5,1,6,7,8,2]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,7,6,8,5,4]=>[6,5,4,8,7,2,1,3]=>[3,4,5,1,2,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,7,8,6,5,4]=>[6,5,4,8,7,3,1,2]=>[3,4,5,1,2,6,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.] [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]=>[5,3,2,4,6,7,1,8]=>[4,6,7,5,3,2,8,1]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.] [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[5,3,2,4,6,8,1,7]=>[4,6,7,5,3,1,8,2]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[6,4,3,5,7,2,8,1]=>[3,5,6,4,2,7,1,8]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>[5,3,2,4,7,1,6,8]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[5,3,2,4,8,1,6,7]=>[4,6,7,5,1,8,3,2]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[6,4,3,5,8,2,7,1]=>[3,5,6,4,1,7,2,8]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>[6,4,3,5,7,2,1,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[6,4,3,5,8,2,1,7]=>[3,5,6,4,1,7,8,2]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,7,8,6,5]=>[6,4,3,5,8,7,1,2]=>[3,5,6,4,1,2,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]=>[6,2,1,3,4,5,7,8]=>[3,7,8,6,5,4,2,1]=>[[[.,[[[[.,[.,.]],.],.],.]],.],.] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]=>[7,2,1,3,4,5,6,8]=>[2,7,8,6,5,4,3,1]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]] [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,6,1,7]=>[1,6,7,5,4,3,8,2]=>[.,[[[[[.,[.,.]],.],.],[.,.]],.]] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,7,8,6,1]=>[8,3,2,4,5,7,1,6]=>[1,6,7,5,4,2,8,3]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,2,4,6,7,5,1,8]=>[7,3,2,4,6,1,5,8]=>[2,6,7,5,3,8,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>[8,5,4,6,7,3,2,1]=>[1,4,5,3,2,6,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>[6,4,3,5,2,7,8,1]=>[3,5,6,4,7,2,1,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[6,4,3,5,2,7,1,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>[6,4,3,5,2,8,1,7]=>[3,5,6,4,7,1,8,2]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[7,4,3,5,2,6,8,1]=>[2,5,6,4,7,3,1,8]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>[.,[[[[[.,[.,.]],[.,.]],.],.],.]] [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,5,4,6,8,7,1]=>[8,4,3,5,2,6,7,1]=>[1,5,6,4,7,3,2,8]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[8,4,3,5,2,6,1,7]=>[1,5,6,4,7,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,5,6,4,7,8,1]=>[8,3,2,5,1,4,6,7]=>[1,6,7,4,8,5,3,2]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,5,6,7,4,1,8]=>[7,3,2,6,1,4,5,8]=>[2,6,7,3,8,5,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,5,6,7,4,8,1]=>[8,3,2,6,1,4,5,7]=>[1,6,7,3,8,5,4,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,8,4,1]=>[8,3,2,7,1,4,5,6]=>[1,6,7,2,8,5,4,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,5,7,6,4,1,8]=>[7,4,3,6,2,5,1,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]=>[7,4,3,5,2,1,6,8]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>[8,5,4,6,3,2,7,1]=>[1,4,5,3,6,7,2,8]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,2,6,5,7,4,1,8]=>[7,4,3,6,2,1,5,8]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,7,4,8,1]=>[8,4,3,6,2,1,5,7]=>[1,5,6,3,7,8,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,2,6,5,8,7,4,1]=>[8,5,4,7,3,2,6,1]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,6,7,5,4,1,8]=>[7,4,3,6,5,1,2,8]=>[2,5,6,3,4,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] [1,1,1,0,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,2,6,7,5,4,8,1]=>[8,4,3,6,5,1,2,7]=>[1,5,6,3,4,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,6,7,5,8,4,1]=>[8,4,3,7,5,1,2,6]=>[1,5,6,2,4,8,7,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,6,8,7,5,4,1]=>[8,5,4,7,6,2,3,1]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[7,5,4,6,3,2,1,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[[[[[.,[.,[[.,.],.]]],.],.],.],.] [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,4,2,1,5,6,8,7]=>[5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>[[[[.,[.,[[.,.],.]]],.],.],[.,.]] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7]=>[6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,2,1,6,7,8,5]=>[5,4,2,3,8,1,6,7]=>[4,5,7,6,1,8,3,2]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,2,1,7,6,8,5]=>[6,5,3,4,8,2,1,7]=>[3,4,6,5,1,7,8,2]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[6,5,3,4,8,7,1,2]=>[3,4,6,5,1,2,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,2,1,8,7,6,5]=>[7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,2,5,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,4,2,5,1,7,6,8]=>[6,4,2,3,5,7,1,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,4,2,5,1,7,8,6]=>[6,4,2,3,5,8,1,7]=>[3,5,7,6,4,1,8,2]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,4,2,5,1,8,7,6]=>[7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,4,2,5,6,1,8,7]=>[7,4,2,3,5,6,8,1]=>[2,5,7,6,4,3,1,8]=>[[.,[[[.,[[.,.],.]],.],.]],[.,.]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,7,1,8]=>[7,3,1,2,4,5,6,8]=>[2,6,8,7,5,4,3,1]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,1]=>[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,4,2,5,7,8,6,1]=>[8,4,2,3,5,7,1,6]=>[1,5,7,6,4,2,8,3]=>[.,[[[.,[[.,.],.]],.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,4,2,5,8,7,6,1]=>[8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,4,2,6,7,5,1,8]=>[7,4,2,3,6,1,5,8]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,4,2,6,7,5,8,1]=>[8,4,2,3,6,1,5,7]=>[1,5,7,6,3,8,4,2]=>[.,[[[.,[[.,.],.]],[[.,.],.]],.]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,4,2,7,6,5,1,8]=>[7,5,3,4,6,2,1,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8]=>[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[[[[.,[.,[[[.,.],.],.]]],.],.],.] [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,5,2,1,6,8,7]=>[6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,5,2,1,7,6,8]=>[6,5,2,3,4,7,1,8]=>[3,4,7,6,5,2,8,1]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,2,1,8,7,6]=>[7,6,3,4,5,8,2,1]=>[2,3,6,5,4,1,7,8]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,2,6,1,7,8]=>[6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.] [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,5,2,6,7,1,8]=>[7,4,1,2,3,5,6,8]=>[2,5,8,7,6,4,3,1]=>[[.,[[[.,[[[.,.],.],.]],.],.]],.] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,2,6,7,8,1]=>[8,4,1,2,3,5,6,7]=>[1,5,8,7,6,4,3,2]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]] [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,2,1,8,7]=>[7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,2,7,1,8]=>[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,2,7,8,1]=>[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,2,1,8]=>[7,6,1,2,3,4,5,8]=>[2,3,8,7,6,5,4,1]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,2,8,1]=>[8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,2,1]=>[8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,8,7,2,1]=>[8,7,2,3,4,5,6,1]=>[1,2,7,6,5,4,3,8]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]] [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,5,7,6,8,2,1]=>[8,7,2,3,4,5,1,6]=>[1,2,7,6,5,4,8,3]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,7,8,6,2,1]=>[8,7,2,3,4,6,1,5]=>[1,2,7,6,5,3,8,4]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,7,6,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,4,6,5,2,7,8,1]=>[8,5,2,3,4,1,6,7]=>[1,4,7,6,5,8,3,2]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,4,6,5,7,8,2,1]=>[8,7,2,3,4,1,5,6]=>[1,2,7,6,5,8,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,5,2,1]=>[8,7,2,3,6,1,4,5]=>[1,2,7,6,3,8,5,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,4,7,6,5,2,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,4,7,6,5,8,2,1]=>[8,7,3,4,5,2,1,6]=>[1,2,6,5,4,7,8,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,8,7,6,5,2,1]=>[8,7,4,5,6,3,2,1]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,4,2,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,4,2,1,7,6,8]=>[6,5,3,4,2,7,1,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,4,2,1,7,8,6]=>[6,5,3,4,2,8,1,7]=>[3,4,6,5,7,1,8,2]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,5,4,2,6,1,7,8]=>[6,4,2,3,1,5,7,8]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,4,2,6,7,8,1]=>[8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,5,4,2,7,6,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,5,4,2,7,6,8,1]=>[8,5,3,4,2,6,1,7]=>[1,4,6,5,7,3,8,2]=>[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,5,4,6,2,8,7,1]=>[8,6,3,4,2,5,7,1]=>[1,3,6,5,7,4,2,8]=>[.,[[.,[[[.,.],[.,.]],.]],[.,.]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,5,4,7,6,2,8,1]=>[8,6,3,4,2,5,1,7]=>[1,3,6,5,7,4,8,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,5,4,7,8,6,2,1]=>[8,7,3,4,2,6,1,5]=>[1,2,6,5,7,3,8,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,4,2,1,8,7]=>[7,6,3,5,2,4,8,1]=>[2,3,6,4,7,5,1,8]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,5,6,4,2,7,1,8]=>[7,5,2,4,1,3,6,8]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,5,6,4,2,7,8,1]=>[8,5,2,4,1,3,6,7]=>[1,4,7,5,8,6,3,2]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,5,6,4,2,8,7,1]=>[8,6,3,5,2,4,7,1]=>[1,3,6,4,7,5,2,8]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,4,7,2,8,1]=>[8,6,2,4,1,3,5,7]=>[1,3,7,5,8,6,4,2]=>[.,[[.,[[[.,.],[[.,.],.]],.]],.]] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,5,6,4,7,8,2,1]=>[8,7,2,4,1,3,5,6]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[3,5,6,7,4,8,2,1]=>[8,7,2,5,1,3,4,6]=>[1,2,7,4,8,6,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,4,2,1]=>[8,7,2,6,1,3,4,5]=>[1,2,7,3,8,6,5,4]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,7,4,2,1]=>[8,7,3,6,2,4,5,1]=>[1,2,6,3,7,5,4,8]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,6,4,2,1,8]=>[7,6,3,5,2,4,1,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,5,7,6,4,2,8,1]=>[8,6,3,5,2,4,1,7]=>[1,3,6,4,7,5,8,2]=>[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,5,7,6,4,8,2,1]=>[8,7,3,5,2,4,1,6]=>[1,2,6,4,7,5,8,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[3,5,7,6,8,4,2,1]=>[8,7,3,6,2,4,1,5]=>[1,2,6,3,7,5,8,4]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,6,4,2,1]=>[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,5,8,7,6,4,2,1]=>[8,7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,5,4,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,5,4,2,1,8,7]=>[7,6,4,5,3,2,8,1]=>[2,3,5,4,6,7,1,8]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,6,5,4,2,7,1,8]=>[7,5,3,4,2,1,6,8]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.] [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,5,4,7,2,8,1]=>[8,6,3,4,2,1,5,7]=>[1,3,6,5,7,8,4,2]=>[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,6,5,4,7,8,2,1]=>[8,7,3,4,2,1,5,6]=>[1,2,6,5,7,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,6,5,4,8,7,2,1]=>[8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,6,7,5,8,4,2,1]=>[8,7,3,6,4,1,2,5]=>[1,2,6,3,5,8,7,4]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,6,8,7,5,4,2,1]=>[8,7,4,6,5,2,3,1]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,6,5,4,8,2,1]=>[8,7,4,5,3,2,1,6]=>[1,2,5,4,6,7,8,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,6,5,8,4,2,1]=>[8,7,4,6,3,2,1,5]=>[1,2,5,3,6,7,8,4]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,7,6,8,5,4,2,1]=>[8,7,4,6,5,2,1,3]=>[1,2,5,3,4,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,6,5,4,2,1]=>[8,7,4,6,5,3,1,2]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,7,6,5,4,2,1]=>[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[5,4,3,2,6,7,1,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,8,1,7]=>[4,5,6,7,3,1,8,2]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[5,4,3,2,6,1,7,8]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[5,4,3,2,7,1,6,8]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[5,4,3,2,8,1,6,7]=>[4,5,6,7,1,8,3,2]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[6,5,4,3,8,2,7,1]=>[3,4,5,6,1,7,2,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[6,5,4,3,8,2,1,7]=>[3,4,5,6,1,7,8,2]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,7,8,6,5]=>[6,5,4,3,8,7,1,2]=>[3,4,5,6,1,2,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]=>[6,4,3,2,5,8,1,7]=>[3,5,6,7,4,1,8,2]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,7,1,8]=>[7,3,2,1,4,5,6,8]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[.,[[[[[.,[.,[.,.]]],.],.],.],.]] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,3,2,6,5,1,8,7]=>[7,5,4,3,6,2,8,1]=>[2,4,5,6,3,7,1,8]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,3,2,6,5,7,1,8]=>[7,4,3,2,5,1,6,8]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]=>[8,5,4,3,6,2,7,1]=>[1,4,5,6,3,7,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,6,8,7,5,1]=>[8,5,4,3,7,2,6,1]=>[1,4,5,6,2,7,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[8,6,5,4,7,3,2,1]=>[1,3,4,5,2,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,3,5,2,1,8,7,6]=>[7,6,4,3,5,8,2,1]=>[2,3,5,6,4,1,7,8]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,3,5,2,6,1,7,8]=>[6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7]=>[7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,3,5,2,7,6,1,8]=>[7,5,3,2,4,6,1,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1]=>[8,5,3,2,4,6,1,7]=>[1,4,6,7,5,3,8,2]=>[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,3,5,2,8,7,6,1]=>[8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,3,5,6,2,1,8,7]=>[7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,3,5,6,2,7,1,8]=>[7,5,2,1,3,4,6,8]=>[2,4,7,8,6,5,3,1]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,3,5,6,2,7,8,1]=>[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>[.,[[[.,[[[.,[.,.]],.],.]],.],.]] [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,7,2,8,1]=>[8,6,2,1,3,4,5,7]=>[1,3,7,8,6,5,4,2]=>[.,[[.,[[[[.,[.,.]],.],.],.]],.]] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,8,2,1]=>[8,7,2,1,3,4,5,6]=>[1,2,7,8,6,5,4,3]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,3,5,6,8,7,2,1]=>[8,7,3,2,4,5,6,1]=>[1,2,6,7,5,4,3,8]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,7,8,6,2,1]=>[8,7,3,2,4,6,1,5]=>[1,2,6,7,5,3,8,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,3,6,5,2,1,7,8]=>[6,5,3,2,4,1,7,8]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,3,6,5,2,1,8,7]=>[7,6,4,3,5,2,8,1]=>[2,3,5,6,4,7,1,8]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,3,6,5,2,8,7,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1]=>[8,6,3,2,4,1,5,7]=>[1,3,6,7,5,8,4,2]=>[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,8,7,2,1]=>[8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,6,7,8,5,2,1]=>[8,7,3,2,6,1,4,5]=>[1,2,6,7,3,8,5,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,3,7,6,5,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,7,8,6,5,2,1]=>[8,7,4,3,6,5,1,2]=>[1,2,5,6,3,4,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,3,8,7,6,5,2,1]=>[8,7,5,4,6,3,2,1]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8]=>[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,5,3,2,1,7,6,8]=>[6,5,4,2,3,7,1,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,3,2,1,8,7,6]=>[7,6,5,3,4,8,2,1]=>[2,3,4,6,5,1,7,8]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[4,5,3,2,6,1,7,8]=>[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,3,6,2,1,8,7]=>[7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,3,6,2,7,1,8]=>[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,5,3,6,2,8,7,1]=>[8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,3,6,7,2,8,1]=>[8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>[.,[[.,[[[.,[[.,.],.]],.],.]],.]] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,6,8,7,2,1]=>[8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,5,3,7,6,2,1,8]=>[7,6,4,2,3,5,1,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,3,7,6,8,2,1]=>[8,7,4,2,3,5,1,6]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,3,2,1,8,7]=>[7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,6,3,2,7,8,1]=>[8,5,4,1,2,3,6,7]=>[1,4,5,8,7,6,3,2]=>[.,[[[.,[.,[[[.,.],.],.]]],.],.]] [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,3,7,2,8,1]=>[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,6,3,7,8,2,1]=>[8,7,4,1,2,3,5,6]=>[1,2,5,8,7,6,4,3]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,3,2,1,8]=>[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,3,2,8,1]=>[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,3,8,2,1]=>[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,7,3,2,1]=>[8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[4,5,7,6,3,2,1,8]=>[7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,6,8,3,2,1]=>[8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,6,3,2,1]=>[8,7,6,2,3,5,1,4]=>[1,2,3,7,6,4,8,5]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]] [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,8,7,6,3,2,1]=>[8,7,6,3,4,5,2,1]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,6,5,3,2,1,8,7]=>[7,6,5,3,4,2,8,1]=>[2,3,4,6,5,7,1,8]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,6,5,3,2,8,7,1]=>[8,6,5,3,4,2,7,1]=>[1,3,4,6,5,7,2,8]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,5,7,3,2,1,8]=>[7,6,5,2,3,1,4,8]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,6,5,7,3,2,8,1]=>[8,6,5,2,3,1,4,7]=>[1,3,4,7,6,8,5,2]=>[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,5,7,8,3,2,1]=>[8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,6,5,8,7,3,2,1]=>[8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,6,7,5,3,2,1,8]=>[7,6,5,2,4,1,3,8]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.] [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,5,8,3,2,1]=>[8,7,6,2,4,1,3,5]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,6,7,8,5,3,2,1]=>[8,7,6,2,5,1,3,4]=>[1,2,3,7,4,8,6,5]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,7,5,3,2,1]=>[8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,6,5,3,2,1,8]=>[7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[4,7,6,5,3,2,8,1]=>[8,6,5,3,4,2,1,7]=>[1,3,4,6,5,7,8,2]=>[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,6,5,8,3,2,1]=>[8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,6,8,5,3,2,1]=>[8,7,6,3,5,2,1,4]=>[1,2,3,6,4,7,8,5]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,6,5,3,2,1]=>[8,7,6,3,5,4,1,2]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,7,6,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[6,5,4,3,2,7,8,1]=>[3,4,5,6,7,2,1,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[6,5,4,3,2,7,1,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[6,5,4,3,2,8,1,7]=>[3,4,5,6,7,1,8,2]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[7,6,5,4,3,8,2,1]=>[2,3,4,5,6,1,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[7,5,4,3,2,6,8,1]=>[2,4,5,6,7,3,1,8]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>[8,5,4,3,2,6,1,7]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,7,8,6,1]=>[8,5,4,3,2,7,1,6]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[8,6,5,4,3,7,2,1]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,4,3,6,2,1,7,8]=>[6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,4,3,6,2,1,8,7]=>[7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,4,3,6,2,7,1,8]=>[7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[5,4,3,6,2,7,8,1]=>[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,4,3,6,2,8,7,1]=>[8,6,4,3,2,5,7,1]=>[1,3,5,6,7,4,2,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[5,4,3,6,7,2,1,8]=>[7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[5,4,3,6,7,2,8,1]=>[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,8,2,1]=>[8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,4,3,6,8,7,2,1]=>[8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,4,3,7,6,2,1,8]=>[7,6,4,3,2,5,1,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,4,3,7,6,2,8,1]=>[8,6,4,3,2,5,1,7]=>[1,3,5,6,7,4,8,2]=>[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]] [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,3,7,8,6,2,1]=>[8,7,4,3,2,6,1,5]=>[1,2,5,6,7,3,8,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,4,3,8,7,6,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,4,6,3,2,1,7,8]=>[6,5,4,2,1,3,7,8]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,4,6,3,2,1,8,7]=>[7,6,5,3,2,4,8,1]=>[2,3,4,6,7,5,1,8]=>[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,4,6,3,2,7,1,8]=>[7,5,4,2,1,3,6,8]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.] [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,4,6,3,2,8,7,1]=>[8,6,5,3,2,4,7,1]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[5,4,6,3,7,2,1,8]=>[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1]=>[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,4,6,7,3,8,2,1]=>[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,4,7,6,3,2,1,8]=>[7,6,5,3,2,4,1,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,4,7,6,8,3,2,1]=>[8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,4,7,8,6,3,2,1]=>[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,6,4,3,2,1,7,8]=>[6,5,4,3,1,2,7,8]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,4,3,2,1,8,7]=>[7,6,5,4,2,3,8,1]=>[2,3,4,5,7,6,1,8]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,6,4,3,7,2,1,8]=>[7,6,4,3,1,2,5,8]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,6,4,7,3,2,1,8]=>[7,6,5,3,1,2,4,8]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,6,4,8,7,3,2,1]=>[8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,6,7,4,3,2,8,1]=>[8,6,5,4,1,2,3,7]=>[1,3,4,5,8,7,6,2]=>[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,6,7,4,3,8,2,1]=>[8,7,5,4,1,2,3,6]=>[1,2,4,5,8,7,6,3]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,7,4,3,2,1]=>[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,6,4,3,2,1,8]=>[7,6,5,4,2,3,1,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,7,6,4,3,2,8,1]=>[8,6,5,4,2,3,1,7]=>[1,3,4,5,7,6,8,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,6,4,8,3,2,1]=>[8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,6,8,4,3,2,1]=>[8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,6,4,3,2,1]=>[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,7,6,4,3,2,1]=>[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,8,1]=>[2,3,4,5,6,7,1,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,1,6,8]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,1,6,7]=>[1,4,5,6,7,8,3,2]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,5,4,3,7,2,1,8]=>[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,5,4,3,8,7,2,1]=>[8,7,5,4,3,2,6,1]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[6,5,4,7,3,2,1,8]=>[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,5,4,7,3,2,8,1]=>[8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[8,7,5,3,2,1,4,6]=>[1,2,4,6,7,8,5,3]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,5,4,7,8,3,2,1]=>[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,5,4,8,7,3,2,1]=>[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,2,1,3,8]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,5,7,4,3,2,8,1]=>[8,6,5,4,2,1,3,7]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,5,7,4,3,8,2,1]=>[8,7,5,4,2,1,3,6]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,1,2,7]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[8,7,5,4,3,1,2,6]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,1,7]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[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]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>[8,9,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[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]=>[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,1,2,9]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,8,9,7,6,5,4,3,2]=>[7,9,8,6,5,4,3,1,2]=>[3,1,2,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>[9,10,8,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,1,2,10]=>[2,3,4,5,6,7,8,10,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,2,1,3,9]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[6,8,7,5,4,3,2,1,9]=>[8,7,6,5,4,2,3,1,9]=>[2,3,4,5,6,8,7,9,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,7,6,5,4,3,2]=>[10,11,9,8,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,1,2,3,9]=>[2,3,4,5,6,9,8,7,1]=>[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,1,2,3,10]=>[2,3,4,5,6,7,10,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[4,8,7,6,5,3,2,1,9]=>[8,7,6,4,5,3,2,1,9]=>[2,3,4,6,5,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,7,6,5,4,3,1,9]=>[8,6,7,5,4,3,2,1,9]=>[2,4,3,5,6,7,8,9,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,6,5,4,3,2,1,9,8]=>[8,7,6,5,4,3,2,9,1]=>[2,3,4,5,6,7,8,1,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]=>[8,7,9,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]=>[7,9,6,8,5,4,3,2,1]=>[3,1,4,2,5,6,7,8,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,7,6,5,4,3,2,9]=>[7,8,6,5,4,3,2,1,9]=>[3,2,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>[6,7,5,4,3,2,1,9,8]=>[8,7,6,5,4,2,3,9,1]=>[2,3,4,5,6,8,7,1,9]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,8,7,6,5,4,3]=>[7,8,9,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[9,8,7,6,5,4,3,2,10,1]=>[2,3,4,5,6,7,8,9,1,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[9,8,10,7,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,10,9,8,7,6,5,4,2]=>[8,10,7,9,6,5,4,3,2,1]=>[3,1,4,2,5,6,7,8,9,10]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,8,7,6,5,4,3,2,10]=>[8,9,7,6,5,4,3,2,1,10]=>[3,2,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,9,8,7,6,5,4,3]=>[8,9,10,7,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9,10]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] []=>[]=>[]=>[]=>. [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,9,8,7,6,5,4,1]=>[9,6,7,8,5,4,3,2,1]=>[1,4,3,2,5,6,7,8,9]=>[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,8,7,6,5,4,3,9,1]=>[9,6,7,5,4,3,2,1,8]=>[1,4,3,5,6,7,8,9,2]=>[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,8,7,6,5,4,3,1]=>[9,7,8,6,5,4,3,2,1]=>[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,9,8,7,6,5,4,1]=>[9,7,6,8,5,4,3,2,1]=>[1,3,4,2,5,6,7,8,9]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,8,2,9,1]=>[9,7,1,2,3,4,5,6,8]=>[1,3,9,8,7,6,5,4,2]=>[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[9,8,1,2,3,4,5,6,7]=>[1,2,9,8,7,6,5,4,3]=>[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[3,8,7,6,5,4,9,2,1]=>[9,8,5,6,4,3,2,1,7]=>[1,2,5,4,6,7,8,9,3]=>[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,9,8,7,6,5,4,2,1]=>[9,8,6,7,5,4,3,2,1]=>[1,2,4,3,5,6,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,3,2,1]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,9,8,7,6,5,4]=>[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[4,8,7,6,5,9,3,2,1]=>[9,8,7,4,5,3,2,1,6]=>[1,2,3,6,5,7,8,9,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,9,8,7,6,5,3,2,1]=>[9,8,7,5,6,4,3,2,1]=>[1,2,3,5,4,6,7,8,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,6,4,7,3,8,2,9,1]=>[9,7,5,3,1,2,4,6,8]=>[1,3,5,7,9,8,6,4,2]=>[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,4,3,2,1]=>[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5]=>[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[5,7,9,8,6,4,3,2,1]=>[9,8,7,6,3,5,2,4,1]=>[1,2,3,4,7,5,8,6,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[5,8,7,6,9,4,3,2,1]=>[9,8,7,6,3,4,2,1,5]=>[1,2,3,4,7,6,8,9,5]=>[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,9,8,7,6,4,3,2,1]=>[9,8,7,6,4,5,3,2,1]=>[1,2,3,4,6,5,7,8,9]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[6,5,8,9,7,4,3,2,1]=>[9,8,7,6,3,2,5,1,4]=>[1,2,3,4,7,8,5,9,6]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,5,4,3,2,1]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,9,8,7,6]=>[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[6,8,7,9,5,4,3,2,1]=>[9,8,7,6,5,2,3,1,4]=>[1,2,3,4,5,8,7,9,6]=>[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,9,8,7,5,4,3,2,1]=>[9,8,7,6,5,3,4,2,1]=>[1,2,3,4,5,7,6,8,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,1]=>[9,6,5,4,3,2,1,7,8]=>[1,4,5,6,7,8,9,3,2]=>[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,6,5,4,3,2,9,8,1]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[7,6,8,9,5,4,3,2,1]=>[9,8,7,6,5,2,1,3,4]=>[1,2,3,4,5,8,9,7,6]=>[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[7,6,9,8,5,4,3,2,1]=>[9,8,7,6,5,3,2,4,1]=>[1,2,3,4,5,7,8,6,9]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,8,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,1,2,8]=>[1,3,4,5,6,7,9,8,2]=>[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,9,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,8,7,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,1,8]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,7,6,5,4,3,9,2,1]=>[9,8,6,5,4,3,2,1,7]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,7,6,5,4,9,3,2,1]=>[9,8,7,5,4,3,2,1,6]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,7,6,5,9,4,3,2,1]=>[9,8,7,6,4,3,2,1,5]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[8,7,6,9,5,4,3,2,1]=>[9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,7,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,1,2]=>[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]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[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]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,8,9,1]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,7,9,1,8]=>[8,7,6,5,4,3,1,9,2]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[2,9,1,3,4,5,6,7,8]=>[8,1,9,7,6,5,4,3,2]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,9,10,1]=>[9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]=>[3,4,5,6,7,8,9,2,1]=>[7,6,5,4,3,2,1,8,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[2,3,4,5,6,7,8,10,1,9]=>[9,8,7,6,5,4,3,1,10,2]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[2,10,1,3,4,5,6,7,8,9]=>[9,1,10,8,7,6,5,4,3,2]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>[10,9,8,7,6,5,4,3,2,1,11]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]=>[3,4,5,6,7,8,9,10,2,1]=>[8,7,6,5,4,3,2,1,9,10]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[2,3,4,5,6,7,8,9,11,1,10]=>[10,9,8,7,6,5,4,3,1,11,2]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,8,9,7,6]=>[3,4,5,6,7,9,8,1,2]=>[7,6,5,4,3,1,2,9,8]=>[[[[[[.,.],.],.],.],.],[.,[[.,.],.]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]=>[4,5,6,7,8,9,3,2,1]=>[6,5,4,3,2,1,7,8,9]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,9,8,7]=>[4,5,6,7,8,9,10,3,2,1]=>[7,6,5,4,3,2,1,8,9,10]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>[5,4,3,2,1,6,7,8,9]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[5,6,7,8,9,10,4,3,2,1]=>[6,5,4,3,2,1,7,8,9,10]=>[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,8,7,6,5,4]=>[6,7,8,9,5,4,3,2,1]=>[4,3,2,1,5,6,7,8,9]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,9,8,7,6,5]=>[6,7,8,9,10,5,4,3,2,1]=>[5,4,3,2,1,6,7,8,9,10]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,8,9,2,10,1]=>[10,8,1,2,3,4,5,6,7,9]=>[1,3,10,9,8,7,6,5,4,2]=>[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[2,3,4,5,6,7,8,1,9]=>[8,7,6,5,4,3,2,9,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[2,3,4,5,6,7,1,8,9]=>[8,7,6,5,4,3,9,2,1]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[3,4,5,6,7,8,2,9,1]=>[7,6,5,4,3,2,8,1,9]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[8,7,6,5,4,9,3,2,1]=>[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,4,6,5,9,8,7]=>[4,5,6,7,8,3,9,2,1]=>[6,5,4,3,2,7,1,8,9]=>[[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[8,7,6,5,9,4,3,2,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,3,5,4,9,8,7,6]=>[5,6,7,8,4,9,3,2,1]=>[5,4,3,2,6,1,7,8,9]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[8,7,6,9,5,4,3,2,1]=>[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,4,3,9,8,7,6,5]=>[6,7,8,5,9,4,3,2,1]=>[4,3,2,5,1,6,7,8,9]=>[[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[8,7,9,6,5,4,3,2,1]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[3,4,2,5,6,7,8,9,1]=>[7,6,8,5,4,3,2,1,9]=>[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[5,6,4,7,3,8,2,9,1]=>[5,4,6,3,7,2,8,1,9]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]] [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,2,9,8,7,6,5,4]=>[7,8,6,9,5,4,3,2,1]=>[3,2,4,1,5,6,7,8,9]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,7,6,5,4,3,2,9,8]=>[7,8,6,5,4,3,2,9,1]=>[3,2,4,5,6,7,8,1,9]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[3,2,4,5,6,7,8,9,1]=>[7,8,6,5,4,3,2,1,9]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[5,4,6,3,7,2,8,1,9]=>[5,6,4,7,3,8,2,9,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,6,5,9,8,7]=>[6,5,7,4,8,3,9,2,1]=>[4,5,3,6,2,7,1,8,9]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,.]]] [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,4,3,9,8,7,6,5]=>[7,6,8,5,9,4,3,2,1]=>[3,4,2,5,1,6,7,8,9]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,8,7,6,5,4,3,9]=>[7,6,8,5,4,3,2,1,9]=>[3,4,2,5,6,7,8,9,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[7,8,9,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6,9,8]=>[6,5,4,7,3,8,2,9,1]=>[4,5,6,3,7,2,8,1,9]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],[.,.]] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,1,9,8,7,6,5,4]=>[8,7,6,9,5,4,3,2,1]=>[2,3,4,1,5,6,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,3,2,1,9,8,7,6,5]=>[8,7,6,5,9,4,3,2,1]=>[2,3,4,5,1,6,7,8,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,9,8,7,6]=>[8,7,6,5,4,9,3,2,1]=>[2,3,4,5,6,1,7,8,9]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,5,4,3,2,1,8,7,9]=>[7,6,5,4,3,2,8,1,9]=>[3,4,5,6,7,8,2,9,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,4,3,2,1,9,8,7]=>[8,7,6,5,4,3,9,2,1]=>[2,3,4,5,6,7,1,8,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[2,3,4,5,6,7,8,9,1,10]=>[9,8,7,6,5,4,3,2,10,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[9,8,7,6,5,4,3,10,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[3,4,5,6,7,8,9,2,10,1]=>[8,7,6,5,4,3,2,9,1,10]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[9,8,7,6,5,4,10,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[9,8,7,6,5,10,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[9,8,7,6,10,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,9,8,7,6,5,4]=>[7,8,9,10,6,5,4,3,2,1]=>[4,3,2,1,5,6,7,8,9,10]=>[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[9,8,7,10,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[9,8,10,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[5,6,4,7,3,8,2,9,1,10]=>[6,5,7,4,8,3,9,2,10,1]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,7,6,10,9,8]=>[6,7,5,8,4,9,3,10,2,1]=>[5,4,6,3,7,2,8,1,9,10]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,[.,.]]] [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,2,10,9,8,7,6,5,4]=>[8,9,7,10,6,5,4,3,2,1]=>[3,2,4,1,5,6,7,8,9,10]=>[[[.,.],[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[9,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[3,2,4,5,6,7,8,9,10,1]=>[8,9,7,6,5,4,3,2,1,10]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[6,5,7,4,8,3,9,2,10,1]=>[5,6,4,7,3,8,2,9,1,10]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,1,10,9,8,7,6,5,4]=>[9,8,7,10,6,5,4,3,2,1]=>[2,3,4,1,5,6,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[9,8,7,6,10,5,4,3,2,1]=>[2,3,4,5,1,6,7,8,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1,10,9,8,7,6]=>[9,8,7,6,5,10,4,3,2,1]=>[2,3,4,5,6,1,7,8,9,10]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[9,8,7,6,5,4,10,3,2,1]=>[2,3,4,5,6,7,1,8,9,10]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,6,5,4,3,2,1,10,9,8]=>[9,8,7,6,5,4,3,10,2,1]=>[2,3,4,5,6,7,8,1,9,10]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>[3,9,8,7,6,5,4,2,1]=>[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[8,1,2,3,4,5,6,7,9]=>[2,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[5,8,7,6,9,4,3,2,1]=>[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,4,6,5,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[4,8,7,6,5,9,3,2,1]=>[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,5,7,6,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,8,7,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>[2,10,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[10,11,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,9,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,10,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,9,8,10]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,8,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>[9,11,10,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8,10,9,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[10,9,11,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,7,8,10,11,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,8,2,1,9]=>[8,7,1,2,3,4,5,6,9]=>[2,3,9,8,7,6,5,4,1]=>[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,9,8,7,6,5,4,3,1]=>[10,8,9,7,6,5,4,3,2,1]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,1,9]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,9,8,7,6,5,4,3,2,1,10]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[8,9,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,1,2,9]=>[1,3,4,5,6,7,8,10,9,2]=>[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,5,4,3,2,7,1,8,9]=>[7,5,4,3,2,1,6,8,9]=>[3,5,6,7,8,9,4,2,1]=>[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,1,2]=>[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]=>[7,10,9,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,8,7,9,10]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[4,10,9,8,7,6,5,3,2,1]=>[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,10,9,8,7,6,5,4,2,1]=>[10,9,7,8,6,5,4,3,2,1]=>[1,2,4,3,5,6,7,8,9,10]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[10,11,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,1,9,8,7,6,5,4]=>[8,6,7,9,5,4,3,2,1]=>[2,4,3,1,5,6,7,8,9]=>[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,2,1,9,8,7,6,5]=>[8,7,5,6,9,4,3,2,1]=>[2,3,5,4,1,6,7,8,9]=>[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,3,2,1,9,8,7,6]=>[8,7,6,4,5,9,3,2,1]=>[2,3,4,6,5,1,7,8,9]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,6,4,3,2,1,9,8,7]=>[8,7,6,5,3,4,9,2,1]=>[2,3,4,5,7,6,1,8,9]=>[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,7,9,8]=>[6,2,3,4,5,7,8,9,1]=>[4,8,7,6,5,3,2,1,9]=>[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8,9]=>[3,2,5,1,4,6,7,8,9]=>[7,8,5,9,6,4,3,2,1]=>[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[8,2,3,4,5,6,7,9,1]=>[2,8,7,6,5,4,3,1,9]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,10,3,2,1]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,10,9,8,7,6,5,4]=>[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,5,4,3,2,1,8,9,7]=>[7,6,5,4,3,2,9,1,8]=>[3,4,5,6,7,8,1,9,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,8,7,6,5,4,3,10,2,1]=>[10,9,7,6,5,4,3,2,1,8]=>[1,2,4,5,6,7,8,9,10,3]=>[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[9,8,7,6,5,4,10,3,2,1]=>[10,9,8,6,5,4,3,2,1,7]=>[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,8,7,6,5,10,4,3,2,1]=>[10,9,8,7,5,4,3,2,1,6]=>[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[9,8,7,6,10,5,4,3,2,1]=>[10,9,8,7,6,4,3,2,1,5]=>[1,2,3,4,5,7,8,9,10,6]=>[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,8,7,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,6,8,9,10,7]=>[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,10,9,8,7,6,5,4,3]=>[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,11,2,1]=>[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,11,10,9,8,7,6,5,4,3]=>[.,[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]] [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,7,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,2,4,1]=>[1,2,3,4,5,6,8,9,7,10]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,3,5,7,9,10,8,6,4,2]=>[5,10,4,9,3,8,2,7,1,6]=>[6,1,7,2,8,3,9,4,10,5]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[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]=>[2,1,11,10,9,8,7,6,5,4,3]=>[10,9,11,8,7,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9,10,11]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,8,7,6,5,4,3,2,1,11,10]=>[10,9,8,7,6,5,4,3,2,11,1]=>[2,3,4,5,6,7,8,9,10,1,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,10,4,3,2,1]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,10,9,8,7,6,5]=>[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>[8,6,9,7,5,4,3,2,1]=>[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,10,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,9,8,7,6,5,4,3,2,11,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,10,9,8,7,6]=>[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,10,9,8,7]=>[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[2,11,10,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]],.] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,2,9]=>[2,8,1,3,4,5,6,7,9]=>[8,2,9,7,6,5,4,3,1]=>[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,7,6,5,4,3,2,10,9,1]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,2,10,9,8,7,6,5,4,1]=>[10,8,7,9,6,5,4,3,2,1]=>[1,3,4,2,5,6,7,8,9,10]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1,10,11]=>[9,8,7,6,5,4,3,2,1,10,11]=>[3,4,5,6,7,8,9,10,11,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.],.] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]=>[9,7,10,8,6,5,4,3,2,1]=>[[[[[[[[.,.],[[.,.],.]],.],.],.],.],.],.] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,7,6,5,4,3,9,8,2]=>[7,9,6,5,4,3,2,8,1]=>[3,1,4,5,6,7,8,2,9]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,9,8,10,1]=>[10,5,4,6,3,7,2,8,1,9]=>[1,6,7,5,8,4,9,3,10,2]=>[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]] [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,3,5,7,9,8,6,4,2]=>[5,9,4,8,3,7,2,6,1]=>[5,1,6,2,7,3,8,4,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[6,5,7,4,8,3,9,2,10,1]=>[10,8,6,4,2,1,3,5,7,9]=>[1,3,5,7,9,10,8,6,4,2]=>[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,5,4,3,2,1,9,10,8]=>[8,7,6,5,4,3,2,10,1,9]=>[3,4,5,6,7,8,9,1,10,2]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,3,5,7,10,9,8,6,4,2]=>[6,10,5,9,4,8,3,7,2,1]=>[5,1,6,2,7,3,8,4,9,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]]
Map
to 312-avoiding permutation
Description
Sends a Dyck path to the 312-avoiding permutation according to Bandlow-Killpatrick.
This map is defined in [1] and sends the area (St000012The area of a Dyck path.) to the inversion number (St000018The number of inversions of a permutation.).
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
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.