Identifier
Mp00025: to 132-avoiding permutationPermutations
Mp00064: Permutations reversePermutations
Mp00238: Permutations Clarke-Steingrimsson-ZengPermutations
Mp00072: Permutations binary search tree: left to right
Images
=>
Cc0005;cc-rep-0Cc0010;cc-rep-4
[1,0]=>[1]=>[1]=>[1]=>[.,.] [1,0,1,0]=>[2,1]=>[1,2]=>[1,2]=>[.,[.,.]] [1,1,0,0]=>[1,2]=>[2,1]=>[2,1]=>[[.,.],.] [1,0,1,0,1,0]=>[3,2,1]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]] [1,0,1,1,0,0]=>[2,3,1]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]] [1,1,0,0,1,0]=>[3,1,2]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]] [1,1,0,1,0,0]=>[2,1,3]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.] [1,1,1,0,0,0]=>[1,2,3]=>[3,2,1]=>[2,3,1]=>[[.,.],[.,.]] [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]] [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]] [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]] [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,[.,.]],.]] [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[1,4,3,2]=>[1,3,4,2]=>[.,[[.,.],[.,.]]] [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]] [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]] [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[3,1,2,4]=>[3,1,2,4]=>[[.,[.,.]],[.,.]] [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[4,1,2,3]=>[4,1,2,3]=>[[.,[.,[.,.]]],.] [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>[4,1,3,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]] [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[3,2,1,4]=>[2,3,1,4]=>[[.,.],[.,[.,.]]] [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>[4,2,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]] [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>[4,3,1,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]] [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[4,3,2,1]=>[2,3,4,1]=>[[.,.],[.,[.,.]]] [1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]] [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]] [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]] [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]] [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]] [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]] [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]] [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]] [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>[1,5,2,4,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]] [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]] [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]] [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]] [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]] [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]] [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]] [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]] [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]] [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]] [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]] [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]] [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]] [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.] [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[5,1,2,4,3]=>[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]] [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[4,1,3,2,5]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]] [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[5,1,3,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]] [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>[5,1,4,2,3]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]] [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>[5,1,4,3,2]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]] [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]] [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]] [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]] [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[5,2,1,4,3]=>[2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]] [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]] [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]] [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]] [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>[5,4,1,3,2]=>[3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]] [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]] [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]] [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]] [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]] [1,0,1,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]] [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]] [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]] [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]] [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]] [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]] [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]] [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]] [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]] [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]] [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]] [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]] [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]] [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,4,5,6,2,3]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]] [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]] [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]] [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]] [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]] [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]] [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]] [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]] [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[3,1,2,5,6,4]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[.,[.,[.,.]]],[[.,.],.]] [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.] [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[5,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]] [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]] [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]] [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[4,1,5,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]] [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]] [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]] [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[3,4,5,1,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[4,5,1,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[2,3,1,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]] [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[2,4,1,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]] [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[2,5,1,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[2,4,5,1,3,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[2,4,5,6,1,3]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[3,1,5,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]] [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]] [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[4,5,1,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[3,4,5,1,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[2,3,5,6,1,4]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]] [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]] [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]] [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]] [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]] [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[3,4,1,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5]=>[[.,.],[.,[.,[[.,.],.]]]] [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4]=>[[.,.],[.,[[.,.],[.,.]]]] [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]] [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]] [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[1,3,6,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[1,3,5,7,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[1,3,6,7,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[1,3,5,6,7,2,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[1,4,2,6,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[1,5,2,6,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[3,1,2,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[3,1,2,5,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[5,1,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[5,1,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[6,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[5,1,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[4,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[4,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[4,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[4,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[5,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[4,1,5,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[4,1,6,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[4,1,5,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[4,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[4,5,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[4,6,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[4,6,1,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[5,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[5,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[3,4,5,1,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[3,4,5,1,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[3,4,6,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[3,4,6,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[3,5,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[3,5,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[3,6,7,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[3,5,6,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[4,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[4,5,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[5,6,1,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[3,4,5,6,1,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[3,4,5,7,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[3,4,6,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[4,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[2,3,1,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[3,1,4,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[3,1,5,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[3,1,5,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[3,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[3,1,5,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[4,1,2,6,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[5,1,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[4,1,6,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[5,1,6,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[4,1,5,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[4,5,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[4,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[4,6,1,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[5,6,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[3,4,5,1,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[3,4,5,1,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[3,4,6,1,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[3,5,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[4,5,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[3,4,5,6,1,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[2,3,4,1,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[2,3,6,1,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[2,3,5,6,1,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[2,3,5,7,1,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[2,3,6,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[2,3,5,6,7,1,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[2,4,1,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[3,1,4,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[3,1,5,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[4,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[3,4,5,1,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[2,3,4,6,7,1,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[2,3,5,6,1,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>[1,2,3,4,6,8,5,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,7,4,8,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>[1,2,3,6,8,4,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>[1,2,3,6,7,8,4,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]=>[1,2,3,5,7,4,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]=>[1,2,3,5,8,4,6,7]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]=>[1,2,3,5,7,8,4,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]=>[1,2,3,6,4,7,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,2,1]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>[1,2,3,7,4,5,8,6]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[1,2,3,8,6,5,4,7]=>[1,2,3,5,6,8,4,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]=>[1,2,3,5,7,4,8,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>[1,2,3,6,4,7,8,5]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,7,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,2,1]=>[1,2,4,3,8,6,5,7]=>[1,2,4,3,6,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,2,1]=>[1,2,4,3,8,7,5,6]=>[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]=>[1,2,5,3,4,6,8,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8]=>[1,2,5,3,4,7,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]=>[1,2,5,3,4,7,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>[1,2,7,3,4,8,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5,8]=>[1,2,6,3,7,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,8,2,1]=>[1,2,8,3,4,6,5,7]=>[1,2,6,3,8,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]=>[1,2,6,3,7,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6,8]=>[1,2,5,7,3,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]=>[1,2,5,8,3,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]=>[1,2,5,7,3,8,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8]=>[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]=>[1,2,6,8,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7]=>[1,2,5,6,8,3,4,7]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]=>[1,2,5,7,8,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>[1,2,6,7,3,8,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>[1,2,5,6,7,8,3,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]=>[1,2,4,5,3,8,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6,8]=>[1,2,4,7,3,5,6,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,8,2,1]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]=>[1,2,4,7,3,8,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,8,2,1]=>[1,2,8,4,3,6,5,7]=>[1,2,4,6,8,3,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]=>[1,2,4,7,8,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]=>[1,2,4,6,7,8,3,5]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[1,2,5,3,6,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]=>[1,2,5,3,7,4,6,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]=>[1,2,5,3,8,4,6,7]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]=>[1,2,6,3,4,7,5,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,8,2,1]=>[1,2,8,6,3,4,5,7]=>[1,2,6,3,4,8,5,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>[1,2,7,3,4,5,8,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6]=>[1,2,5,7,3,4,8,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]] [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>[1,2,5,6,7,3,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]=>[1,2,4,5,8,3,6,7]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]=>[1,2,4,6,3,7,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,8,2,1]=>[1,2,8,6,4,3,5,7]=>[1,2,4,6,3,8,5,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>[1,2,6,3,4,7,8,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,2,1]=>[1,2,8,6,5,4,3,7]=>[1,2,4,5,6,8,3,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,2,1]=>[1,2,8,7,5,4,3,6]=>[1,2,4,5,7,3,8,6]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]=>[1,2,5,3,6,7,8,4]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,3,1]=>[1,3,2,4,8,5,7,6]=>[1,3,2,4,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]=>[1,3,2,4,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,3,1]=>[1,3,2,4,8,6,5,7]=>[1,3,2,4,6,8,5,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,2,3,1]=>[1,3,2,8,4,5,7,6]=>[1,3,2,7,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,3,1]=>[1,3,2,8,4,6,5,7]=>[1,3,2,6,8,4,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]=>[1,3,2,5,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]=>[1,3,2,5,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,2,3,1]=>[1,3,2,8,5,4,6,7]=>[1,3,2,5,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6]=>[1,3,2,5,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5,8]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,2,3,1]=>[1,3,2,8,6,4,5,7]=>[1,3,2,6,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,2,3,1]=>[1,3,2,8,7,4,6,5]=>[1,3,2,6,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]=>[1,3,2,5,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]=>[1,4,2,3,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]=>[1,4,2,3,7,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]=>[1,4,2,3,6,7,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]=>[1,5,2,3,4,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[1,7,2,3,4,8,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>[1,6,2,3,7,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,7,2,3,8,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]=>[1,6,2,3,7,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]=>[1,6,2,7,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>[1,6,2,8,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,8,1]=>[1,8,2,3,6,5,4,7]=>[1,5,2,6,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>[1,5,2,7,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]=>[1,6,2,7,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>[1,5,2,6,7,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>[1,4,5,2,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>[1,4,5,2,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]=>[1,4,5,2,3,7,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>[1,4,6,2,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,6,1]=>[1,6,2,4,3,5,8,7]=>[1,4,6,2,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6,8]=>[1,4,7,2,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,8,1]=>[1,8,2,4,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>[1,4,6,2,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>[1,4,7,2,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]=>[1,4,6,2,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>[1,5,6,2,3,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,2,6,1]=>[1,6,2,5,3,4,8,7]=>[1,5,6,2,3,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,2,8,1]=>[1,8,2,5,3,4,7,6]=>[1,5,7,2,3,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>[1,5,6,8,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>[1,5,7,8,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[1,4,5,7,2,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5,8]=>[1,4,6,7,2,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,2,8,1]=>[1,8,2,6,4,3,5,7]=>[1,4,6,8,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]=>[1,4,7,8,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]=>[1,4,6,7,8,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,6,2,8,1]=>[1,8,2,6,5,3,4,7]=>[1,5,6,2,8,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>[1,6,7,2,3,8,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>[1,5,6,7,2,8,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,8]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,2,8,1]=>[1,8,2,7,5,4,3,6]=>[1,4,5,7,8,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]=>[1,4,6,7,2,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>[1,4,5,6,7,8,2,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,2,3,4,1]=>[1,4,3,2,5,8,6,7]=>[1,3,4,2,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,4,1]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,5,1]=>[1,5,3,2,4,6,8,7]=>[1,3,5,2,4,6,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,8]=>[1,3,5,2,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]=>[1,3,5,2,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]=>[1,3,6,2,4,5,7,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]=>[1,3,7,2,4,5,6,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,8,1]=>[1,8,3,2,4,5,7,6]=>[1,3,7,2,4,8,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[1,3,6,2,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,2,3,8,1]=>[1,8,3,2,4,7,5,6]=>[1,3,7,2,8,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6,8]=>[1,3,5,7,2,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,8,1]=>[1,8,3,2,5,4,6,7]=>[1,3,5,8,2,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]=>[1,3,5,7,2,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]=>[1,3,5,7,8,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>[1,3,5,6,7,8,2,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]=>[1,4,2,5,3,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]=>[1,4,2,6,3,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]] [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]=>[1,4,2,7,3,8,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]=>[1,4,2,6,8,3,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]=>[1,4,2,7,8,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]=>[1,4,2,6,7,8,3,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]=>[1,5,2,3,6,4,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6,8]=>[1,5,2,3,7,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]=>[1,5,2,3,7,8,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[1,6,2,3,4,7,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]=>[1,6,2,3,4,8,5,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>[1,7,2,3,4,5,8,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5]=>[1,6,2,3,7,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]=>[1,5,2,7,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>[1,6,2,7,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,8,1]=>[1,8,6,2,4,3,5,7]=>[1,4,6,2,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7]=>[1,5,6,2,3,8,4,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]=>[1,5,7,2,3,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>[1,6,7,2,3,4,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>[1,5,6,7,2,3,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]=>[1,4,5,7,2,3,8,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]=>[1,3,4,5,2,7,8,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7,8]=>[1,3,4,6,2,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6,8]=>[1,3,4,7,2,5,6,8]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]] [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,8,1]=>[1,8,4,3,2,7,5,6]=>[1,3,4,7,8,2,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,5,6,1]=>[1,6,5,3,2,4,8,7]=>[1,3,5,2,6,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]=>[1,3,5,2,7,4,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]=>[1,3,5,2,8,4,6,7]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,5,8,1]=>[1,8,5,3,2,4,7,6]=>[1,3,5,2,7,8,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5,8]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]=>[1,3,6,2,4,8,5,7]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]=>[1,3,7,2,4,5,8,6]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>[1,3,6,2,7,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]=>[1,3,5,6,2,8,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]=>[1,3,5,7,2,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>[1,3,6,7,2,4,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,8,1]=>[1,8,5,4,2,3,6,7]=>[1,4,2,5,8,3,6,7]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,8,1]=>[1,8,5,4,2,3,7,6]=>[1,4,2,5,7,8,3,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5,8]=>[1,4,2,6,3,7,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,8,1]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]=>[1,4,2,7,3,5,8,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]] [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>[1,6,2,3,4,7,8,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3,8]=>[1,4,5,2,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]=>[1,4,6,2,3,7,8,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>[1,4,5,6,2,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,6,1]=>[1,6,5,4,3,2,8,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6,8]=>[1,3,4,5,7,2,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>[1,3,4,5,8,2,6,7]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>[1,3,4,5,7,8,2,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>[1,3,4,7,2,5,8,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]] [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,7,8,1]=>[1,8,7,4,3,2,6,5]=>[1,3,4,6,7,2,8,5]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4,8]=>[1,3,5,2,6,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,6,8,1]=>[1,8,6,5,3,2,4,7]=>[1,3,5,2,6,8,4,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]=>[1,3,5,2,7,4,8,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]=>[1,3,6,2,4,7,8,5]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]=>[1,3,5,6,2,7,8,4]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[1,4,2,5,6,7,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]=>[1,4,2,5,6,8,3,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]=>[1,5,2,3,6,7,8,4]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]=>[1,4,5,2,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]=>[1,3,4,5,6,8,2,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[1,4,2,5,6,7,8,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8]=>[2,1,3,4,7,5,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]=>[2,1,3,4,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]=>[2,1,3,4,7,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,7,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]=>[2,1,3,6,4,5,7,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7]=>[2,1,3,6,4,5,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>[2,1,3,8,4,5,6,7]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]=>[2,1,3,7,4,8,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]=>[2,1,3,7,8,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,3,1,2]=>[2,1,3,8,4,7,6,5]=>[2,1,3,6,7,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,1,2]=>[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,1,2]=>[2,1,3,8,5,4,6,7]=>[2,1,3,5,8,4,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,1,2]=>[2,1,3,8,6,4,5,7]=>[2,1,3,6,4,8,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,1,2]=>[2,1,3,8,7,4,6,5]=>[2,1,3,6,7,4,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,1,2]=>[2,1,3,8,6,5,4,7]=>[2,1,3,5,6,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]=>[2,1,3,5,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,1,2]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]=>[2,1,4,3,6,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7]=>[2,1,5,3,4,6,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]=>[2,1,7,3,4,5,6,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,8,1,2]=>[2,1,8,3,4,7,5,6]=>[2,1,7,3,8,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]=>[2,1,6,3,7,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,1,2]=>[2,1,8,3,6,4,5,7]=>[2,1,6,8,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,1,2]=>[2,1,8,3,7,4,5,6]=>[2,1,7,8,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,8,1,2]=>[2,1,8,3,7,5,4,6]=>[2,1,5,7,8,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,1,2]=>[2,1,8,3,7,6,5,4]=>[2,1,5,6,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7,8]=>[2,1,4,6,3,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>[2,1,4,6,3,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]=>[2,1,4,6,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]=>[2,1,4,7,8,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]=>[2,1,4,6,7,8,3,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[2,1,5,3,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,1,2]=>[2,1,8,5,3,4,6,7]=>[2,1,5,3,8,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]=>[2,1,5,3,7,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>[2,1,7,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,1,2]=>[2,1,8,7,3,4,6,5]=>[2,1,6,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]=>[2,1,5,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]=>[2,1,6,7,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,8,1,2]=>[2,1,8,7,3,6,5,4]=>[2,1,5,6,7,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]=>[2,1,4,5,8,3,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]=>[2,1,4,5,7,8,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]=>[2,1,4,6,3,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,8,1,2]=>[2,1,8,7,4,3,5,6]=>[2,1,4,7,3,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[2,1,4,6,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]=>[2,1,5,3,6,7,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]=>[2,1,5,3,7,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>[2,1,6,3,4,7,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,1,2]=>[2,1,8,7,6,3,5,4]=>[2,1,5,6,3,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8]=>[2,1,4,5,6,7,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,1,2]=>[2,1,8,6,5,4,3,7]=>[2,1,4,5,6,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>[2,1,4,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,7,8,1,2]=>[2,1,8,7,6,4,3,5]=>[2,1,4,6,3,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]=>[3,1,2,4,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8]=>[3,1,2,4,7,5,6,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]=>[3,1,2,4,8,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]=>[3,1,2,4,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,2,1,3]=>[3,1,2,4,8,6,5,7]=>[3,1,2,4,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]=>[3,1,2,4,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]=>[3,1,2,4,6,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]=>[3,1,2,5,4,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]=>[3,1,2,6,4,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]=>[3,1,2,7,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,2,1,3]=>[3,1,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,2,1,3]=>[3,1,2,8,4,5,7,6]=>[3,1,2,7,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,1,3]=>[3,1,2,8,4,7,5,6]=>[3,1,2,7,8,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,8]=>[3,1,2,5,7,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5,8]=>[3,1,2,6,4,7,5,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,2,1,3]=>[3,1,2,8,6,5,4,7]=>[3,1,2,5,6,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,2,1,3]=>[3,1,2,8,7,5,4,6]=>[3,1,2,5,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,2,1,3]=>[3,1,2,8,7,6,4,5]=>[3,1,2,6,4,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,1,3]=>[3,1,2,8,7,6,5,4]=>[3,1,2,5,6,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,1,4]=>[4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>[4,1,2,3,7,8,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]=>[4,1,2,3,6,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>[4,1,2,3,6,8,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>[4,1,2,3,7,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>[4,1,2,3,6,7,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7]=>[5,1,2,3,4,8,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[5,1,2,3,4,8,7,6]=>[5,1,2,3,4,7,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[7,1,2,3,4,8,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5,8]=>[6,1,2,3,7,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]=>[6,1,2,3,8,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[7,1,2,3,8,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[6,1,2,3,7,8,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7,8]=>[5,1,2,6,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6,8]=>[5,1,2,7,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]=>[5,1,2,7,3,8,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5,8]=>[6,1,2,7,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]=>[6,1,2,8,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[7,1,2,8,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4,8]=>[5,1,2,6,7,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,1,8]=>[8,1,2,3,6,5,4,7]=>[5,1,2,6,8,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]=>[5,1,2,7,8,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>[5,1,2,6,7,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7,8]=>[4,1,5,2,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6,8]=>[4,1,5,2,3,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,1,5]=>[5,1,2,4,3,8,7,6]=>[4,1,5,2,3,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7,8]=>[4,1,6,2,3,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,1,6]=>[6,1,2,4,3,5,8,7]=>[4,1,6,2,3,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6,8]=>[4,1,7,2,3,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]=>[4,1,8,2,3,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,2,1,8]=>[8,1,2,4,3,5,7,6]=>[4,1,7,2,3,8,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[8,1,2,4,3,6,5,7]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7,8]=>[5,1,6,2,3,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6,8]=>[5,1,7,2,3,4,6,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[5,1,8,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,5,2,1,8]=>[8,1,2,5,3,4,7,6]=>[5,1,7,2,3,8,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5,8]=>[6,1,7,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[7,1,8,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>[6,1,7,2,8,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]=>[5,1,7,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>[6,1,7,8,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>[5,1,6,7,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7,8]=>[4,1,5,6,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,2,1,6]=>[6,1,2,5,4,3,8,7]=>[4,1,5,6,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]=>[4,1,6,7,2,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]=>[4,1,6,7,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4,8]=>[5,1,6,2,7,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,6,2,1,8]=>[8,1,2,6,5,3,4,7]=>[5,1,6,2,8,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>[6,1,7,2,3,8,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>[5,1,6,7,2,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3,8]=>[4,1,5,6,7,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>[4,1,5,6,7,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6,8]=>[3,4,1,2,5,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,1,4]=>[4,1,3,2,8,5,6,7]=>[3,4,1,2,8,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[3,4,1,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,3,1,4]=>[4,1,3,2,8,7,5,6]=>[3,4,1,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>[3,4,1,2,6,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7,8]=>[3,5,1,2,4,6,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,2,3,1,5]=>[5,1,3,2,4,6,8,7]=>[3,5,1,2,4,6,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6,8]=>[3,5,1,2,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,3,1,5]=>[5,1,3,2,4,8,6,7]=>[3,5,1,2,4,8,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,1,5]=>[5,1,3,2,4,8,7,6]=>[3,5,1,2,4,7,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,3,1,6]=>[6,1,3,2,4,5,8,7]=>[3,6,1,2,4,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6,8]=>[3,7,1,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]=>[3,8,1,2,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,3,1,8]=>[8,1,3,2,4,6,5,7]=>[3,6,1,2,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,2,3,1,8]=>[8,1,3,2,4,7,6,5]=>[3,6,1,2,7,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,3,1,6]=>[6,1,3,2,5,4,8,7]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6,8]=>[3,5,1,7,2,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,1,8]=>[8,1,3,2,5,4,6,7]=>[3,5,1,8,2,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,3,1,8]=>[8,1,3,2,6,5,4,7]=>[3,5,1,6,8,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6]=>[3,5,1,7,8,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]=>[3,5,1,6,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7,8]=>[4,5,1,2,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,4,1,5]=>[5,1,4,2,3,8,6,7]=>[4,5,1,2,3,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7,8]=>[4,6,1,2,3,5,7,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,2,4,1,6]=>[6,1,4,2,3,5,8,7]=>[4,6,1,2,3,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6,8]=>[4,7,1,2,3,5,6,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]=>[4,8,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]=>[4,7,1,2,3,8,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,2,4,1,8]=>[8,1,4,2,3,6,5,7]=>[4,6,1,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]=>[4,6,1,2,7,8,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,1,6]=>[6,1,5,2,3,4,8,7]=>[5,6,1,2,3,4,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]=>[5,8,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]=>[6,7,1,2,3,4,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[6,8,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,6,1,8]=>[8,1,6,2,3,5,4,7]=>[5,6,1,8,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>[6,7,1,8,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]=>[5,6,1,7,8,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,1,6]=>[6,1,5,2,4,3,8,7]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,1,8]=>[8,1,6,2,4,3,5,7]=>[4,6,8,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,7,1,8]=>[8,1,7,2,4,3,5,6]=>[4,7,8,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]=>[5,6,7,1,2,3,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,7,1,8]=>[8,1,7,2,5,3,4,6]=>[5,7,8,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]=>[4,5,6,7,1,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]=>[4,5,7,8,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]=>[4,6,7,8,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7,8]=>[3,4,5,1,2,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,4,1,5]=>[5,1,4,3,2,6,8,7]=>[3,4,5,1,2,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,1,5]=>[5,1,4,3,2,8,7,6]=>[3,4,5,1,2,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,1,8]=>[8,1,4,3,2,5,6,7]=>[3,4,8,1,2,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]=>[3,4,7,1,8,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>[8,1,4,3,2,7,6,5]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6,8]=>[3,5,7,1,2,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,6,1,8]=>[8,1,6,3,2,4,5,7]=>[3,6,8,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,1,8]=>[8,1,7,3,2,4,5,6]=>[3,7,8,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]=>[3,5,6,7,1,2,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[3,5,6,8,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,3,7,1,8]=>[8,1,7,3,2,5,4,6]=>[3,5,7,8,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,7,1,8]=>[8,1,7,3,2,6,4,5]=>[3,6,7,8,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]=>[3,5,6,7,8,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,1,6]=>[6,1,5,4,2,3,8,7]=>[4,5,1,6,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,1,8]=>[8,1,5,4,2,3,6,7]=>[4,5,1,8,2,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]=>[4,6,1,7,2,3,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]=>[4,6,1,8,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,1,8]=>[8,1,7,4,2,3,5,6]=>[4,7,1,8,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]=>[4,6,1,7,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[5,6,1,2,8,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>[6,7,1,2,3,8,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3,8]=>[4,5,6,1,7,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]=>[4,6,7,1,2,8,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>[4,5,6,7,1,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,1,6]=>[6,1,5,4,3,2,8,7]=>[3,4,5,6,1,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]=>[3,4,5,8,1,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]=>[3,4,5,7,1,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]=>[3,4,6,7,8,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4,8]=>[3,5,6,1,7,2,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,6,7,1,8]=>[8,1,7,6,3,2,4,5]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]=>[4,5,1,6,7,2,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]=>[4,5,1,7,8,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,7,1,8]=>[8,1,7,6,4,2,3,5]=>[4,6,1,7,2,8,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]=>[5,6,1,2,7,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>[4,5,6,1,7,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]=>[3,4,5,6,7,1,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[3,4,5,6,8,1,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]=>[3,4,5,7,8,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]=>[3,4,6,7,1,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]=>[3,5,6,1,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[4,5,1,6,7,8,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,1,2,3]=>[3,2,1,4,5,8,6,7]=>[2,3,1,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,1,2,3]=>[3,2,1,4,8,5,6,7]=>[2,3,1,4,8,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]=>[2,3,1,4,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]=>[2,3,1,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]=>[2,3,1,6,4,5,7,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,1,2,3]=>[3,2,1,8,4,5,6,7]=>[2,3,1,8,4,5,6,7]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]=>[2,3,1,7,4,8,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,1,2,3]=>[3,2,1,8,4,6,5,7]=>[2,3,1,6,8,4,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]=>[2,3,1,7,8,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,1,2,3]=>[3,2,1,8,4,7,6,5]=>[2,3,1,6,7,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]=>[2,3,1,5,7,8,4,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]=>[2,3,1,6,4,7,5,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]=>[2,3,1,6,4,8,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>[2,3,1,7,4,5,8,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]=>[2,3,1,5,6,7,4,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,1,2,3]=>[3,2,1,8,6,5,4,7]=>[2,3,1,5,6,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>[2,3,1,5,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]=>[2,4,1,3,5,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]=>[2,4,1,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>[2,4,1,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]=>[2,4,1,3,8,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[2,4,1,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>[2,4,1,3,6,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>[2,4,1,3,6,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]=>[2,5,1,3,4,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7,8]=>[2,6,1,3,4,5,7,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[2,7,1,3,4,5,6,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,1,2,8]=>[8,2,1,3,4,6,5,7]=>[2,6,1,3,8,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,1,2,8]=>[8,2,1,3,4,7,5,6]=>[2,7,1,3,8,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]=>[2,6,1,8,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,1,2,8]=>[8,2,1,3,7,4,6,5]=>[2,6,1,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>[2,5,1,6,8,3,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,1,2,8]=>[8,2,1,3,7,6,4,5]=>[2,6,1,7,3,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]=>[2,5,1,6,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7,8]=>[2,4,5,1,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6,8]=>[2,4,5,1,3,7,6,8]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,1,2,5]=>[5,2,1,4,3,8,7,6]=>[2,4,5,1,3,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7,8]=>[2,4,6,1,3,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7]=>[2,4,6,1,3,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,1,2,8]=>[8,2,1,4,3,6,5,7]=>[2,4,6,1,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,1,2,8]=>[8,2,1,4,3,7,5,6]=>[2,4,7,1,8,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]=>[2,5,6,1,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]=>[2,6,8,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]] [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>[2,7,8,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,1,2,8]=>[8,2,1,7,3,5,4,6]=>[2,5,7,8,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7,8]=>[2,4,5,6,1,3,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,1,2,6]=>[6,2,1,5,4,3,8,7]=>[2,4,5,6,1,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[2,4,5,7,1,8,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]=>[2,4,6,8,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,1,2,8]=>[8,2,1,7,4,3,5,6]=>[2,4,7,8,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]=>[2,4,6,7,8,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4,8]=>[2,5,6,1,7,3,4,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,1,2,8]=>[8,2,1,7,5,3,4,6]=>[2,5,7,1,8,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,1,2,8]=>[8,2,1,7,6,3,4,5]=>[2,6,7,1,3,8,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]=>[2,5,6,7,1,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]=>[2,4,5,6,7,1,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,1,2,8]=>[8,2,1,7,5,4,3,6]=>[2,4,5,7,8,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,1,2,8]=>[8,2,1,7,6,5,3,4]=>[2,5,6,1,7,8,3,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3]=>[2,4,5,6,7,8,1,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[4,3,1,2,5,8,7,6]=>[3,1,4,2,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7,8]=>[3,1,4,2,6,5,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]=>[3,1,4,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]=>[3,1,4,2,8,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,1,3,4]=>[4,3,1,2,8,5,7,6]=>[3,1,4,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[3,1,4,2,7,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>[3,1,4,2,6,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6,8]=>[3,1,5,2,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,2,1,3,5]=>[5,3,1,2,4,8,6,7]=>[3,1,5,2,4,8,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]=>[3,1,6,2,4,5,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[6,3,1,2,4,5,8,7]=>[3,1,6,2,4,5,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[3,1,7,2,4,5,6,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,2,1,3,8]=>[8,3,1,2,4,6,5,7]=>[3,1,6,2,8,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[3,1,7,2,8,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,1,3,6]=>[6,3,1,2,5,4,8,7]=>[3,1,5,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6,8]=>[3,1,5,7,2,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,1,3,8]=>[8,3,1,2,5,4,6,7]=>[3,1,5,8,2,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,1,3,8]=>[8,3,1,2,5,4,7,6]=>[3,1,5,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]=>[3,1,6,8,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,2,1,3,8]=>[8,3,1,2,7,4,5,6]=>[3,1,7,8,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,1,3,8]=>[8,3,1,2,6,5,4,7]=>[3,1,5,6,8,2,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,1,3,8]=>[8,3,1,2,7,6,4,5]=>[3,1,6,7,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,1,3,8]=>[8,3,1,2,7,6,5,4]=>[3,1,5,6,7,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]=>[4,1,2,5,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,1,4,5]=>[5,4,1,2,3,8,6,7]=>[4,1,2,5,3,8,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,1,4,5]=>[5,4,1,2,3,8,7,6]=>[4,1,2,5,3,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[4,1,2,8,3,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]=>[4,1,2,7,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7,8]=>[5,1,2,3,6,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]=>[5,1,2,3,8,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]=>[6,1,2,3,4,8,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]=>[6,1,2,3,7,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4,8]=>[5,1,2,6,3,7,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]=>[5,1,2,6,3,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>[6,1,2,7,3,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[5,1,2,6,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,1,5,6]=>[6,5,1,2,4,3,8,7]=>[4,1,5,2,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]=>[4,1,5,2,7,3,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]=>[4,1,5,2,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]=>[4,1,6,2,3,8,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,1,7,8]=>[8,7,1,2,4,3,5,6]=>[4,1,7,2,3,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,1,6,8]=>[8,6,1,2,5,3,4,7]=>[5,1,6,2,3,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,2,1,7,8]=>[8,7,1,2,5,3,4,6]=>[5,1,7,2,3,4,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>[6,1,7,2,3,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,2,1,6,8]=>[8,6,1,2,5,4,3,7]=>[4,1,5,6,2,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]=>[5,1,6,2,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>[4,1,5,6,7,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7,8]=>[3,4,1,5,2,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,1,4,5]=>[5,4,1,3,2,8,6,7]=>[3,4,1,5,2,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,3,1,4,6]=>[6,4,1,3,2,5,8,7]=>[3,4,1,6,2,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]=>[3,4,1,8,2,5,6,7]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>[3,4,1,6,7,2,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]=>[3,4,1,6,8,2,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,1,4,8]=>[8,4,1,3,2,7,6,5]=>[3,4,1,6,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6,8]=>[3,5,1,2,7,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,1,5,8]=>[8,5,1,3,2,4,6,7]=>[3,5,1,2,8,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,1,5,8]=>[8,5,1,3,2,4,7,6]=>[3,5,1,2,7,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,1,6,8]=>[8,6,1,3,2,4,5,7]=>[3,6,1,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,1,7,8]=>[8,7,1,3,2,4,5,6]=>[3,7,1,2,4,5,8,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,3,1,7,8]=>[8,7,1,3,2,4,6,5]=>[3,6,1,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,1,7,8]=>[8,7,1,3,2,6,4,5]=>[3,6,1,7,2,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,1,5,6]=>[6,5,1,4,2,3,8,7]=>[4,5,1,2,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]=>[4,5,1,2,7,3,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]=>[4,5,1,2,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,1,5,8]=>[8,5,1,4,2,3,7,6]=>[4,5,1,2,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5,8]=>[4,6,1,2,3,7,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,1,6,8]=>[8,6,1,4,2,3,5,7]=>[4,6,1,2,3,8,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,1,7,8]=>[8,7,1,4,2,3,5,6]=>[4,7,1,2,3,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]=>[5,6,1,2,3,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[5,7,1,2,3,4,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>[6,7,1,2,3,4,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>[5,6,1,7,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3,8]=>[4,5,6,1,2,7,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,2,5,1,6,8]=>[8,6,1,5,2,4,3,7]=>[4,5,6,1,2,8,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]=>[5,6,7,1,2,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>[4,5,6,7,1,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7,8]=>[3,4,5,1,6,2,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,1,5,6]=>[6,5,1,4,3,2,8,7]=>[3,4,5,1,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]=>[3,4,6,1,2,7,5,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[6,5,2,3,4,1,7,8]=>[8,7,1,4,3,2,5,6]=>[3,4,7,1,2,5,8,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,4,1,7,8]=>[8,7,1,4,3,2,6,5]=>[3,4,6,1,7,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]=>[3,5,6,1,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[4,5,1,7,2,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]=>[5,6,1,2,7,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]=>[4,5,6,1,7,2,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]=>[3,4,5,6,1,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,1,7,8]=>[8,7,1,6,4,3,2,5]=>[3,4,6,7,1,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>[3,5,6,1,7,2,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>[3,4,5,6,7,1,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>[2,3,4,1,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6,8]=>[2,3,4,1,7,5,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[4,3,2,1,8,5,6,7]=>[2,3,4,1,8,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[4,3,2,1,8,5,7,6]=>[2,3,4,1,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[4,3,2,1,8,6,5,7]=>[2,3,4,1,6,8,5,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,6]=>[2,3,4,1,7,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6,8]=>[2,3,5,1,4,7,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,1,2,3,5]=>[5,3,2,1,4,8,6,7]=>[2,3,5,1,4,8,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7,8]=>[2,3,6,1,4,5,7,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>[6,3,2,1,4,5,8,7]=>[2,3,6,1,4,5,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]=>[2,3,7,1,4,5,6,8]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,1,2,3,8]=>[8,3,2,1,4,5,7,6]=>[2,3,7,1,4,8,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,1,2,3,8]=>[8,3,2,1,4,6,5,7]=>[2,3,6,1,8,4,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[2,3,6,1,7,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7,8]=>[2,3,5,6,1,4,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,1,2,3,6]=>[6,3,2,1,5,4,8,7]=>[2,3,5,6,1,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]=>[2,3,5,7,1,4,6,8]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>[2,3,5,8,1,4,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,1,2,3,8]=>[8,3,2,1,5,4,7,6]=>[2,3,5,7,1,8,4,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,1,2,3,8]=>[8,3,2,1,7,4,5,6]=>[2,3,7,8,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]=>[2,3,6,7,8,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,1,2,3,8]=>[8,3,2,1,6,5,4,7]=>[2,3,5,6,8,1,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,5]=>[2,3,6,7,1,8,4,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]=>[2,3,5,6,7,8,1,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,1,2,4,5]=>[5,4,2,1,3,8,7,6]=>[2,4,1,5,3,7,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]=>[2,4,1,6,3,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,1,2,4,6]=>[6,4,2,1,3,5,8,7]=>[2,4,1,6,3,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]=>[2,4,1,8,3,5,6,7]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]] [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]=>[2,4,1,7,3,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>[2,4,1,6,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,1,2,4,8]=>[8,4,2,1,3,7,5,6]=>[2,4,1,7,8,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]=>[2,4,1,6,7,8,3,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,1,2,5,6]=>[6,5,2,1,3,4,8,7]=>[2,5,1,3,6,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]=>[2,5,1,3,8,4,6,7]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,1,2,7,8]=>[8,7,2,1,3,4,6,5]=>[2,6,1,3,7,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,1,2,7,8]=>[8,7,2,1,3,5,4,6]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,1,2,7,8]=>[8,7,2,1,3,6,4,5]=>[2,6,1,7,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]=>[2,5,1,6,7,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,1,2,5,6]=>[6,5,2,1,4,3,8,7]=>[2,4,5,1,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]=>[2,4,5,1,8,3,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>[2,4,5,1,7,8,3,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>[2,4,6,1,3,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]=>[2,5,6,1,3,8,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,1,2,7,8]=>[8,7,2,1,5,3,4,6]=>[2,5,7,1,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3,8]=>[2,4,5,6,1,7,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,1,2,6,8]=>[8,6,2,1,5,4,3,7]=>[2,4,5,6,1,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]=>[3,1,4,5,2,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6,8]=>[3,1,4,5,2,7,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,1,3,4,5]=>[5,4,3,1,2,8,7,6]=>[3,1,4,5,2,7,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,1,3,4,6]=>[6,4,3,1,2,5,8,7]=>[3,1,4,6,2,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,1,3,4,8]=>[8,4,3,1,2,7,6,5]=>[3,1,4,6,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,1,3,5,6]=>[6,5,3,1,2,4,8,7]=>[3,1,5,2,6,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]=>[3,1,5,2,8,4,6,7]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,1,3,5,8]=>[8,5,3,1,2,4,7,6]=>[3,1,5,2,7,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]=>[3,1,6,2,7,4,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]=>[4,1,2,5,6,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,1,4,5,6]=>[6,5,4,1,2,3,8,7]=>[4,1,2,5,6,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]=>[4,1,2,5,7,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>[4,1,2,7,3,5,8,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,1,4,7,8]=>[8,7,4,1,2,3,6,5]=>[4,1,2,6,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[5,1,2,3,6,7,4,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[5,1,2,3,6,8,4,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>[5,1,2,3,7,4,8,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>[5,1,2,6,3,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>[4,1,6,2,3,7,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>[5,1,6,2,3,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,1,4,5,6]=>[6,5,4,1,3,2,8,7]=>[3,4,1,5,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]=>[3,4,1,5,7,2,6,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,1,4,5,8]=>[8,5,4,1,3,2,6,7]=>[3,4,1,5,8,2,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]=>[3,4,1,6,2,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,3,1,4,7,8]=>[8,7,4,1,3,2,6,5]=>[3,4,1,6,7,2,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4,8]=>[3,5,1,2,6,7,4,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,1,5,6,8]=>[8,6,5,1,3,2,4,7]=>[3,5,1,2,6,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,1,6,7,8]=>[8,7,6,1,3,2,4,5]=>[3,6,1,2,4,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>[4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]=>[3,5,1,6,2,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3,8]=>[4,5,1,2,6,7,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,4,1,5,7,8]=>[8,7,5,1,4,2,3,6]=>[4,5,1,2,7,3,8,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>[5,6,1,2,3,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>[4,5,6,1,2,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>[3,4,5,1,6,7,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[3,4,6,1,2,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]=>[3,5,6,1,2,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>[4,5,1,6,2,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[3,4,5,6,1,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]=>[2,3,4,5,1,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]=>[2,3,4,5,1,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[5,4,3,2,1,8,6,7]=>[2,3,4,5,1,8,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]=>[2,3,4,5,1,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>[2,3,4,6,1,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>[2,3,4,7,1,5,6,8]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,1,2,3,4,8]=>[8,4,3,2,1,5,7,6]=>[2,3,4,7,1,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>[2,3,4,6,7,1,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>[2,3,4,6,8,1,5,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,1,2,3,4,8]=>[8,4,3,2,1,7,5,6]=>[2,3,4,7,8,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>[2,3,4,6,7,8,1,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,1,2,3,5,6]=>[6,5,3,2,1,4,8,7]=>[2,3,5,1,6,4,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]=>[2,3,5,1,8,4,6,7]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>[2,3,6,1,4,7,5,8]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]=>[2,3,6,1,4,8,5,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>[2,3,7,1,4,5,8,6]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]=>[2,3,5,6,1,7,4,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]=>[2,3,5,6,1,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]=>[2,3,5,7,1,4,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>[2,3,5,6,7,1,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]=>[2,4,1,5,6,3,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,1,2,4,5,6]=>[6,5,4,2,1,3,8,7]=>[2,4,1,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]=>[2,4,1,5,8,3,6,7]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>[2,4,1,6,3,7,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]=>[2,4,1,7,3,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]] [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]=>[2,4,1,6,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]=>[2,5,1,3,6,8,4,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>[2,5,1,3,7,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>[2,6,1,3,4,7,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,3,4,1,2,5,6,8]=>[8,6,5,2,1,4,3,7]=>[2,4,5,1,6,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]=>[2,5,6,1,3,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,1,3,4,5,6]=>[6,5,4,3,1,2,8,7]=>[3,1,4,5,6,2,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]=>[3,1,4,6,2,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]=>[3,1,5,2,7,4,8,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>[3,1,6,2,4,7,8,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>[4,1,2,5,6,7,3,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>[4,1,2,6,3,7,8,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>[4,1,5,2,6,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]=>[3,4,1,5,6,7,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]=>[3,4,1,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>[3,4,1,5,7,2,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>[3,4,1,6,2,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[3,5,1,2,6,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[4,5,1,2,6,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[3,4,5,1,6,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>[2,3,4,5,7,1,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]=>[2,3,4,5,8,1,6,7]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>[8,5,4,3,2,1,7,6]=>[2,3,4,5,7,8,1,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>[2,3,4,6,1,7,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>[2,3,4,7,1,5,8,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]=>[2,3,5,1,6,8,4,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]=>[2,3,5,1,7,4,8,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>[2,4,1,5,6,7,3,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[2,4,1,5,6,8,3,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[2,4,1,6,3,7,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[2,4,5,1,6,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>[3,1,4,5,6,7,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]=>[3,1,4,5,7,2,8,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>[3,1,4,6,2,7,8,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[3,4,1,5,6,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>[3,1,4,5,6,7,8,2,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]=>[1,4,2,5,6,7,8,9,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,4]=>[1,3,5,2,6,7,8,9,4]=>[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,11,2]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,9,1]=>[1,9,8,2,7,6,5,4,3]=>[1,4,5,6,7,8,2,9,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]=>[2,3,4,5,6,8,1,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,7,1,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[1,9,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,9,2,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,9,1]=>[1,9,2,8,7,6,5,4,3]=>[1,4,5,6,7,8,9,2,3]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]=>[2,3,4,5,6,7,8,1,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,1]=>[1,10,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,10,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[1,3,4,5,6,7,8,9,2,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,10,3]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] []=>[]=>[]=>[]=>. [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,9,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[7,6,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,6,7]=>[8,1,2,3,4,9,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[7,6,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,6,7]=>[8,1,2,3,9,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,6,3,2,1,9]=>[9,1,2,3,6,4,5,7,8]=>[6,1,2,9,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,8,2,1,9]=>[9,1,2,8,3,4,5,6,7]=>[8,1,9,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,1,9]=>[9,1,3,2,4,5,6,7,8]=>[3,9,1,2,4,5,6,7,8]=>[[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,8,1,9]=>[9,1,8,2,3,4,5,6,7]=>[8,9,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9]=>[9,1,8,2,7,3,6,4,5]=>[6,7,8,9,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2]=>[3,4,5,6,7,8,9,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,8]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2,9]=>[9,2,1,8,7,6,5,4,3]=>[2,4,5,6,7,8,9,1,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]=>[3,1,9,2,4,5,6,7,8]=>[[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,3,2,1,6,9]=>[9,6,1,2,3,4,5,7,8]=>[6,1,2,3,4,9,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,9,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[6,5,4,7,3,2,1,8,9]=>[9,8,1,2,3,7,4,5,6]=>[7,1,2,8,3,4,5,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,7,1,8,9]=>[9,8,1,7,2,3,4,5,6]=>[7,8,1,2,3,4,5,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>[9,8,1,7,6,5,4,3,2]=>[3,4,5,6,7,8,1,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[8,7,6,3,2,1,4,5,9]=>[9,5,4,1,2,3,6,7,8]=>[4,1,2,5,9,3,6,7,8]=>[[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]] [1,1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[7,6,5,3,2,1,4,8,9]=>[9,8,4,1,2,3,5,6,7]=>[4,1,2,8,3,5,6,9,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],[.,.]]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9]=>[9,8,7,1,6,5,4,3,2]=>[3,4,5,6,7,1,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>[9,4,3,2,1,8,7,6,5]=>[2,3,4,6,7,8,9,1,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8]=>[3,1,5,2,7,4,9,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,9,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8,9]=>[9,8,7,6,1,5,4,3,2]=>[3,4,5,6,1,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[8,7,6,1,2,3,4,5,9]=>[9,5,4,3,2,1,6,7,8]=>[2,3,4,5,9,1,6,7,8]=>[[.,.],[.,[.,[.,[[.,[.,[.,.]]],.]]]]] [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,9,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8,9]=>[9,8,7,6,5,1,4,3,2]=>[3,4,5,1,6,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,7,8]=>[2,3,4,5,6,9,1,7,8]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,8,7]=>[2,3,4,5,6,8,9,1,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,4,3]=>[2,4,5,1,6,7,8,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[8,2,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,2,8]=>[3,1,4,5,6,7,9,2,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,9,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,3,2]=>[3,4,1,5,6,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,9,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,9,4]=>[[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,9,3,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,9,7,6,8]=>[1,2,3,4,5,7,9,6,8]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,9,6,5,7,8]=>[1,2,3,4,6,9,5,7,8]=>[.,[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]=>[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,9,3,2,1]=>[1,2,3,9,5,4,6,7,8]=>[1,2,3,5,9,4,6,7,8]=>[.,[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,3,4,9,2,1]=>[1,2,9,4,3,5,6,7,8]=>[1,2,4,9,3,5,6,7,8]=>[.,[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,9,1]=>[1,9,3,2,4,5,6,7,8]=>[1,3,9,2,4,5,6,7,8]=>[.,[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]] [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]=>[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[8,9,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[10,9,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,11,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,5,4,3,2,1]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,7,8,9,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>[2,10,1,3,4,5,6,7,8,9]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[11,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[9,10,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,10,11,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[11,10,12,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,12,10,11]=>[1,2,3,4,5,6,7,8,9,12,10,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,7]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,1,2,11]=>[11,2,1,3,4,5,6,7,8,9,10]=>[2,11,1,3,4,5,6,7,8,9,10]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,3,2,1,4,10]=>[10,4,1,2,3,5,6,7,8,9]=>[4,1,2,10,3,5,6,7,8,9]=>[[.,[.,[.,.]]],[[.,[.,[.,[.,[.,.]]]]],.]] [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,6]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,10,5]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[10,9,8,6,5,4,3,2,1,7,11]=>[11,7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,11,6,8,9,10]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,[.,.]]],.]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>[.,[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,8,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,8,7]=>[1,3,2,4,5,6,8,9,7]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[.,[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[8,9,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,9,8]=>[1,3,4,5,6,7,2,9,8]=>[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>[[.,.],[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,3,4,1,2]=>[2,1,4,3,9,8,7,6,5]=>[2,1,4,3,6,7,8,9,5]=>[[.,.],[[.,.],[[.,.],[.,[.,[.,.]]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,9]=>[2,1,4,5,6,7,8,3,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8,9]=>[2,3,1,5,4,6,7,8,9]=>[[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]=>[[.,.],[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,4]=>[[.,.],[.,[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8,9]=>[2,3,4,1,6,5,7,8,9]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,9]=>[2,3,4,1,6,5,8,7,9]=>[[.,.],[.,[.,[[.,.],[[.,.],[.,.]]]]]] [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,.]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8,9]=>[2,3,4,5,1,7,6,8,9]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[5,4,3,2,1,9,8,7,6]=>[2,3,4,5,1,7,8,9,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]=>[2,3,4,5,6,1,8,7,9]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]=>[2,3,4,5,6,1,8,9,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[10,8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,6,5,8,7,10,9]=>[.,[.,[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]]] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,10,4]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>[.,[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[8,9,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,9,8]=>[1,3,2,5,4,7,6,9,10,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10]=>[[.,.],[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,5,6,3,4,1,2]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,8,9,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,3,4,5,6,1,2]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,4,5,6,3,8,9,10,7]=>[[.,.],[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[9,10,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,4,5,6,7,8,3,10,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]=>[[.,.],[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]] [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[3,2,1,10,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,10,4]=>[[.,.],[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9]=>[[.,.],[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,5,6,1,2,3,4]=>[4,3,2,1,6,5,10,9,8,7]=>[2,3,4,1,6,5,8,9,10,7]=>[[.,.],[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[9,10,5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5,10,9]=>[2,3,4,1,6,7,8,5,10,9]=>[[.,.],[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]] [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,10,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,9,8,10]=>[2,3,4,5,1,7,6,9,8,10]=>[[.,.],[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]] [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[2,3,4,5,1,7,8,9,10,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]=>[2,3,4,5,6,1,8,9,10,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[10,8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8,10]=>[2,3,4,5,6,7,1,9,8,10]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]=>[2,3,4,5,6,7,1,9,10,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[10,9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,3,1,2]=>[2,1,3,4,5,6,9,7,8]=>[2,1,3,4,5,6,9,7,8]=>[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,10,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,3,2]=>[3,4,1,5,6,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]=>[2,4,1,5,6,7,8,9,10,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,10,8,9]=>[2,1,3,4,5,6,7,10,8,9]=>[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,2,1,3]=>[3,1,2,4,5,6,9,7,8]=>[3,1,2,4,5,6,9,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]] [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,2,3,1]=>[1,3,2,4,5,6,9,7,8]=>[1,3,2,4,5,6,9,7,8]=>[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,9,8]=>[3,1,2,4,5,6,7,9,8]=>[[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8,9]=>[4,1,2,5,3,6,7,8,9]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,3,2]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,10,1,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,11,1,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,1,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,1,2,9]=>[3,1,4,5,6,7,8,10,2,9]=>[[.,[.,.]],[.,[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,4,3,2]=>[3,4,5,1,6,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8,9,10]=>[10,9,8,7,6,1,5,4,3,2]=>[3,4,5,6,1,7,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9,10]=>[10,9,8,7,1,6,5,4,3,2]=>[3,4,5,6,7,1,8,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9,10]=>[10,9,8,1,7,6,5,4,3,2]=>[3,4,5,6,7,8,1,9,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9,10]=>[10,9,1,8,7,6,5,4,3,2]=>[3,4,5,6,7,8,9,1,10,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]=>[3,1,4,5,6,7,8,9,10,11,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,4,3,2,5,1,10]=>[10,1,5,2,3,4,6,7,8,9]=>[5,10,1,2,3,4,6,7,8,9]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,[.,.]]]],.]] [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7,9]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,8,7]=>[1,8,2,3,4,5,9,6,7]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[8,9,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,9,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,1,2]=>[2,1,9,3,4,5,6,7,8]=>[2,1,9,3,4,5,6,7,8]=>[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]] [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,9,10,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,9,1,10,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,9,10,7]=>[[.,.],[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6]=>[2,3,4,5,7,1,8,9,10,6]=>[[.,.],[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,9,10,5]=>[[.,.],[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,9,10,4]=>[[.,.],[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[8,9,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,9,8]=>[1,2,3,4,7,5,6,9,8]=>[.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]] [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8,9]=>[5,1,2,3,4,7,6,8,9]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,[.,.]]]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8]=>[3,1,2,5,4,7,6,9,8]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]] [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9]=>[[.,[.,.]],[.,[[.,.],[[.,.],[[.,.],.]]]]] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6,9,8]=>[1,3,5,2,4,7,6,9,8]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,9,8,10]=>[3,1,2,5,4,7,6,9,8,10]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,5,3,2,1,4]=>[4,1,2,3,5,9,6,7,8]=>[4,1,2,3,5,9,6,7,8]=>[[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[8,7,6,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,6,7,8]=>[9,1,2,3,4,10,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,9,2,1,10]=>[10,1,2,9,3,4,5,6,7,8]=>[9,1,10,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,10,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[9,8,7,10,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,10,7,8,9]=>[10,1,2,3,4,5,11,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]] [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,4,10,3,2,1,11]=>[11,1,2,3,10,4,5,6,7,8,9]=>[10,1,2,11,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]] [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,4,3,2,10,1,11]=>[11,1,10,2,3,4,5,6,7,8,9]=>[10,11,1,2,3,4,5,6,7,8,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]] [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,4,3,2,1,10,11]=>[11,10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,11,9]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]] [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]=>[3,1,5,2,7,4,9,6,8,10]=>[[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[11,1,10,9,8,7,6,5,4,3,2]=>[3,4,5,6,7,8,9,10,11,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,12,1,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>[9,3,1,2,4,5,6,7,8,10]=>[10,8,7,6,5,4,2,1,3,9]=>[2,4,1,5,6,7,8,10,3,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11]=>[3,1,2,4,5,6,7,8,9,10,11]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[7,8,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,8,7]=>[1,2,3,4,5,8,9,6,7]=>[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]] [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,11,10]=>[2,3,4,5,6,7,8,9,1,11,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,8,9,10,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,10,1,2]=>[2,1,10,3,4,5,6,7,8,9]=>[2,1,10,3,4,5,6,7,8,9]=>[[.,.],[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,9,2,1,3]=>[3,1,2,9,4,5,6,7,8]=>[3,1,2,9,4,5,6,7,8]=>[[.,[.,.]],[[.,[.,[.,[.,[.,.]]]]],.]] [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,9,10,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[11,9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[9,8,7,10,5,4,3,2,1,6]=>[6,1,2,3,4,5,10,7,8,9]=>[6,1,2,3,4,5,10,7,8,9]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,[.,.]]],.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[8,9,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,9,8]=>[1,7,2,3,4,5,6,9,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]] [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,9,10,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,9,10,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],[.,.]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7,9]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,9,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,7,9,10,1,8]=>[[.,.],[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2,10]=>[10,2,1,9,8,7,6,5,4,3]=>[2,4,5,6,7,8,9,10,1,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[9,10,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,10,9]=>[8,1,2,3,4,5,6,7,10,9]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[8,7,9,5,4,3,2,1,6]=>[6,1,2,3,4,5,9,7,8]=>[6,1,2,3,4,5,9,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[8,7,9,5,6,3,4,1,2]=>[2,1,4,3,6,5,9,7,8]=>[2,1,4,3,6,5,9,7,8]=>[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]] [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8,10]=>[1,9,2,3,4,5,6,7,8,10]=>[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,9,3,2,1,4]=>[4,1,2,3,9,5,6,7,8]=>[4,1,2,3,9,5,6,7,8]=>[[.,[.,[.,.]]],[[.,[.,[.,[.,.]]]],.]] [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[7,8,2,3,4,5,6,9,1]=>[1,9,6,5,4,3,2,8,7]=>[1,3,4,5,6,8,9,2,7]=>[.,[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7,9]=>[2,4,1,3,6,5,8,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,3,4,1,2,6]=>[6,2,1,4,3,5,8,7,9]=>[2,4,6,1,3,5,8,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7,10,9]=>[2,4,1,3,6,5,8,7,10,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,1,2,8]=>[8,2,1,7,6,5,4,3,9]=>[2,4,5,6,7,8,1,3,9]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]] [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7,9]=>[2,1,8,3,4,5,6,7,9]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],[.,.]]] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[9,8,1,2,3,4,5,6,7,10]=>[10,7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,10,1,8,9]=>[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[9,8,10,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,10,8,9]=>[1,3,2,5,4,7,6,10,8,9]=>[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,7,5,3,1,2,4,6,8,10]=>[10,8,6,4,2,1,3,5,7,9]=>[2,4,1,6,3,8,5,10,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[7,8,5,6,3,4,1,2,9,10]=>[10,9,2,1,4,3,6,5,8,7]=>[2,4,6,1,8,3,9,5,10,7]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]] [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[2,3,4,5,6,7,8,9,10,1,12,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7,10,9]=>[1,4,2,3,6,5,8,7,10,9]=>[.,[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]]] [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,4,3,2,1,5]=>[5,1,2,3,4,9,6,7,8]=>[5,1,2,3,4,9,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]] [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,6,5]=>[6,7,8,9,10,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[9,8,10,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,10,8,9]=>[7,1,2,3,4,5,6,10,8,9]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,[.,.]],.]] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9]=>[2,4,1,6,3,8,5,7,9]=>[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]
Map
to 132-avoiding permutation
Description
Sends a Dyck path to a 132-avoiding permutation.
This bijection is defined in [1, Section 2].
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$(des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi),$$
where
• $des$ is the number of descents, St000021The number of descents of a permutation.,
• $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
• $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
• $Ebot$ is the sum of the excedance bottoms,
• $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
• $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
• $Res$ is the sum of the (right) embracing numbers,
• $Ine$ is the sum of the side numbers.
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.