Identifier
Mp00014: Binary trees to 132-avoiding permutationPermutations
Mp00069: Permutations complementPermutations
Mp00130: Permutations descent topsBinary words
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=> [.,[.,.]]=>[2,1]=>[1,2]=>0 [[.,.],.]=>[1,2]=>[2,1]=>1 [.,[.,[.,.]]]=>[3,2,1]=>[1,2,3]=>00 [.,[[.,.],.]]=>[2,3,1]=>[2,1,3]=>10 [[.,.],[.,.]]=>[3,1,2]=>[1,3,2]=>01 [[.,[.,.]],.]=>[2,1,3]=>[2,3,1]=>01 [[[.,.],.],.]=>[1,2,3]=>[3,2,1]=>11 [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,2,3,4]=>000 [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[2,1,3,4]=>100 [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[1,3,2,4]=>010 [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[2,3,1,4]=>010 [.,[[[.,.],.],.]]=>[2,3,4,1]=>[3,2,1,4]=>110 [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[1,2,4,3]=>001 [[.,.],[[.,.],.]]=>[3,4,1,2]=>[2,1,4,3]=>101 [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[1,3,4,2]=>001 [[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,4,3,2]=>011 [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[2,3,4,1]=>001 [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,2,4,1]=>011 [[[.,.],[.,.]],.]=>[3,1,2,4]=>[2,4,3,1]=>011 [[[.,[.,.]],.],.]=>[2,1,3,4]=>[3,4,2,1]=>101 [[[[.,.],.],.],.]=>[1,2,3,4]=>[4,3,2,1]=>111 [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,2,3,4,5]=>0000 [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[2,1,3,4,5]=>1000 [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[1,3,2,4,5]=>0100 [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[2,3,1,4,5]=>0100 [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,2,1,4,5]=>1100 [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[1,2,4,3,5]=>0010 [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[2,1,4,3,5]=>1010 [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[1,3,4,2,5]=>0010 [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[1,4,3,2,5]=>0110 [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[2,3,4,1,5]=>0010 [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,2,4,1,5]=>0110 [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[2,4,3,1,5]=>0110 [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,4,2,1,5]=>1010 [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[4,3,2,1,5]=>1110 [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[1,2,3,5,4]=>0001 [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[2,1,3,5,4]=>1001 [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[1,3,2,5,4]=>0101 [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[2,3,1,5,4]=>0101 [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[3,2,1,5,4]=>1101 [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[1,2,4,5,3]=>0001 [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[2,1,4,5,3]=>1001 [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>0011 [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[2,1,5,4,3]=>1011 [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[1,3,4,5,2]=>0001 [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[1,4,3,5,2]=>0011 [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[1,3,5,4,2]=>0011 [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[1,4,5,3,2]=>0101 [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,5,4,3,2]=>0111 [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[2,3,4,5,1]=>0001 [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,2,4,5,1]=>0101 [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[2,4,3,5,1]=>0011 [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,4,2,5,1]=>0011 [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,3,2,5,1]=>0111 [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[2,3,5,4,1]=>0011 [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[3,2,5,4,1]=>0111 [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[2,4,5,3,1]=>0101 [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[2,5,4,3,1]=>0111 [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,4,5,2,1]=>1001 [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[4,3,5,2,1]=>1011 [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,5,4,2,1]=>1011 [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[4,5,3,2,1]=>1101 [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[5,4,3,2,1]=>1111 [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>00000 [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>10000 [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>01000 [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>01000 [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>11000 [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>00100 [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>10100 [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>00100 [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>01100 [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>00100 [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>01100 [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>01100 [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>10100 [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>11100 [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>00010 [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>10010 [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>01010 [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>01010 [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>11010 [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>00010 [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>10010 [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>00110 [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>10110 [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>00010 [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>00110 [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>00110 [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>01010 [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>01110 [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>00010 [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>01010 [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>00110 [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>00110 [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>01110 [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>00110 [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>01110 [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>01010 [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>01110 [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>10010 [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>10110 [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>10110 [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>11010 [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>11110 [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>00001 [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>10001 [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>01001 [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>01001 [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>11001 [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>00101 [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>10101 [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>00101 [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>01101 [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>00101 [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>01101 [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>01101 [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>10101 [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>11101 [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>00001 [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>10001 [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>01001 [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>01001 [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>11001 [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>00011 [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>10011 [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>01011 [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>01011 [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>11011 [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>00001 [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>10001 [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>00011 [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>10011 [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>00011 [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>10011 [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>00101 [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>10101 [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>00111 [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>10111 [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>00001 [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>00101 [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>00011 [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>00011 [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>00111 [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>00011 [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>00111 [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>00101 [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>00111 [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>01001 [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>01011 [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>01011 [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>01101 [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>01111 [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>00001 [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>01001 [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>00101 [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>00101 [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>01101 [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>00011 [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>01011 [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>00011 [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>00111 [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>00011 [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>00111 [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>00111 [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>01011 [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>01111 [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>00011 [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>01011 [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>00111 [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>00111 [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>01111 [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>00101 [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>01101 [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>00111 [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>01111 [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>01001 [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>01011 [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>01011 [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>01101 [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>01111 [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>10001 [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>10101 [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>10011 [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>10011 [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>10111 [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>10011 [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>10111 [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>10101 [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>10111 [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>11001 [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>11011 [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>11011 [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>11101 [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>11111 [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>000000 [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>100000 [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>010000 [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>010000 [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>110000 [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>001000 [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>101000 [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>001000 [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>011000 [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>001000 [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>011000 [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>011000 [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>101000 [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>111000 [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>000100 [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>100100 [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>010100 [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>010100 [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>110100 [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>000100 [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>100100 [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>001100 [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>101100 [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>000100 [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>001100 [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>001100 [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>010100 [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>011100 [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>000100 [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>010100 [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>001100 [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>001100 [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>011100 [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>001100 [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>011100 [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>010100 [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>011100 [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>100100 [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>101100 [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>101100 [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>110100 [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>111100 [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>000010 [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>100010 [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>010010 [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>010010 [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>110010 [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>001010 [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>101010 [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>001010 [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>011010 [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>001010 [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>011010 [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>011010 [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>101010 [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>111010 [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>000010 [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>100010 [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>010010 [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>010010 [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>110010 [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>000110 [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>100110 [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>010110 [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>010110 [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>110110 [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>000010 [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>100010 [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>000110 [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>100110 [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>000110 [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>100110 [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>001010 [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>101010 [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>001110 [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>101110 [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>000010 [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>001010 [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>000110 [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>000110 [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>001110 [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>000110 [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>001110 [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>001010 [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>001110 [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>010010 [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>010110 [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>010110 [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>011010 [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>011110 [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>000010 [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>010010 [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>001010 [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>001010 [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>011010 [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>000110 [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>010110 [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>000110 [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>001110 [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>000110 [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>001110 [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>001110 [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>010110 [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>011110 [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>000110 [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>010110 [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>001110 [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>001110 [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>011110 [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>001010 [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>011010 [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>001110 [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>011110 [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>010010 [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>010110 [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>010110 [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>011010 [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>011110 [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>100010 [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>101010 [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>100110 [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>100110 [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>101110 [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>100110 [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>101110 [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>101010 [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>101110 [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>110010 [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>110110 [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>110110 [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>111010 [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>111110 [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>000001 [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>100001 [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>010001 [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>010001 [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>110001 [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>001001 [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>101001 [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>001001 [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>011001 [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>001001 [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>011001 [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>011001 [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>101001 [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>111001 [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>000101 [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>100101 [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>010101 [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>010101 [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>110101 [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>000101 [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>100101 [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>001101 [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>101101 [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>000101 [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>001101 [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>001101 [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>010101 [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>011101 [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>000101 [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>010101 [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>001101 [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>001101 [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>011101 [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>001101 [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>011101 [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>010101 [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>011101 [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>100101 [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>101101 [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>101101 [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>110101 [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>111101 [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>000001 [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>100001 [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>010001 [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>010001 [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>110001 [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>001001 [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>101001 [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>001001 [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>011001 [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>001001 [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>011001 [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>011001 [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>101001 [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>111001 [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>000011 [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>100011 [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>010011 [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>010011 [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>110011 [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>001011 [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>101011 [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>001011 [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>011011 [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>001011 [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>011011 [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>011011 [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>101011 [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>111011 [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>000001 [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>100001 [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>010001 [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>010001 [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>110001 [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>000011 [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>100011 [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>010011 [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>010011 [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>110011 [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>000011 [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>100011 [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>010011 [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>010011 [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>110011 [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>000101 [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>100101 [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>010101 [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>010101 [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>110101 [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>000111 [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>100111 [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>010111 [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>010111 [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>110111 [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>000001 [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>100001 [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>000101 [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>100101 [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>000011 [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>100011 [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>000011 [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>100011 [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>000111 [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>100111 [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>000011 [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>100011 [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>000111 [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>100111 [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>000101 [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>100101 [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>000111 [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>100111 [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>001001 [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>101001 [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>001011 [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>101011 [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>001011 [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>101011 [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>001101 [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>101101 [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>001111 [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>101111 [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>000001 [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>001001 [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>000101 [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>000101 [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>001101 [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>000011 [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>001011 [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>000011 [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>000111 [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>000011 [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>000111 [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>000111 [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>001011 [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>001111 [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>000011 [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>001011 [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>000111 [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>000111 [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>001111 [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>000101 [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>001101 [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>000111 [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>001111 [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>001001 [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>001011 [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>001011 [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>001101 [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>001111 [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>010001 [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>010101 [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>010011 [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>010011 [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>010111 [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>010011 [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>010111 [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>010101 [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>010111 [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>011001 [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>011011 [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>011011 [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>011101 [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>011111 [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>000001 [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>010001 [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>001001 [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>001001 [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>011001 [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>000101 [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>010101 [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>000101 [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>001101 [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>000101 [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>001101 [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>001101 [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>010101 [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>011101 [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>000011 [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>010011 [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>001011 [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>001011 [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>011011 [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>000011 [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>010011 [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>000111 [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>010111 [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>000011 [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>000111 [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>000111 [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>001011 [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>001111 [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>000011 [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>001011 [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>000111 [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>000111 [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>001111 [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>000111 [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>001111 [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>001011 [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>001111 [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>010011 [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>010111 [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>010111 [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>011011 [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>011111 [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>000011 [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>010011 [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>001011 [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>001011 [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>011011 [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>000111 [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>010111 [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>000111 [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>001111 [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>000111 [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>001111 [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>001111 [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>010111 [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>011111 [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>000101 [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>010101 [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>001101 [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>001101 [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>011101 [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>000111 [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>010111 [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>001111 [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>001111 [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>011111 [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>001001 [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>011001 [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>001011 [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>011011 [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>001011 [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>011011 [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>001101 [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>011101 [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>001111 [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>011111 [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>010001 [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>010101 [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>010011 [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>010011 [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>010111 [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>010011 [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>010111 [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>010101 [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>010111 [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>011001 [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>011011 [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>011011 [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>011101 [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>011111 [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>100001 [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>101001 [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>100101 [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>100101 [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>101101 [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>100011 [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>101011 [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>100011 [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>100111 [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>100011 [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>100111 [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>100111 [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>101011 [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>101111 [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>100011 [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>101011 [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>100111 [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>100111 [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>101111 [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>100101 [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>101101 [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>100111 [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>101111 [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>101001 [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>101011 [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>101011 [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>101101 [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>101111 [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>110001 [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>110101 [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>110011 [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>110011 [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>110111 [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>110011 [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>110111 [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>110101 [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>110111 [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>111001 [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>111011 [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>111011 [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>111101 [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>111111 [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>0000000 [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]=>1000000 [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]=>0100000 [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]=>0100000 [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[3,2,1,4,5,6,7,8]=>1100000 [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]=>0010000 [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]=>1010000 [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]=>0010000 [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[1,4,3,2,5,6,7,8]=>0110000 [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]=>0010000 [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[3,2,4,1,5,6,7,8]=>0110000 [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[2,4,3,1,5,6,7,8]=>0110000 [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[3,4,2,1,5,6,7,8]=>1010000 [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[4,3,2,1,5,6,7,8]=>1110000 [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>0001000 [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[7,8,6,4,5,3,2,1]=>[2,1,3,5,4,6,7,8]=>1001000 [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]=>0101000 [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[2,3,1,5,4,6,7,8]=>0101000 [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[6,7,8,4,5,3,2,1]=>[3,2,1,5,4,6,7,8]=>1101000 [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[7,8,5,4,6,3,2,1]=>[2,1,4,5,3,6,7,8]=>1001000 [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[8,7,4,5,6,3,2,1]=>[1,2,5,4,3,6,7,8]=>0011000 [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[7,8,4,5,6,3,2,1]=>[2,1,5,4,3,6,7,8]=>1011000 [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[1,3,4,5,2,6,7,8]=>0001000 [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[1,3,5,4,2,6,7,8]=>0011000 [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[8,5,4,6,7,3,2,1]=>[1,4,5,3,2,6,7,8]=>0101000 [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[8,4,5,6,7,3,2,1]=>[1,5,4,3,2,6,7,8]=>0111000 [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]=>0001000 [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[3,2,4,5,1,6,7,8]=>0101000 [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[2,4,3,5,1,6,7,8]=>0011000 [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[3,4,2,5,1,6,7,8]=>0011000 [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[4,3,2,5,1,6,7,8]=>0111000 [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[2,3,5,4,1,6,7,8]=>0011000 [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[3,2,5,4,1,6,7,8]=>0111000 [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[2,4,5,3,1,6,7,8]=>0101000 [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[2,5,4,3,1,6,7,8]=>0111000 [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[3,4,5,2,1,6,7,8]=>1001000 [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[4,3,5,2,1,6,7,8]=>1011000 [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[3,5,4,2,1,6,7,8]=>1011000 [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[4,5,3,2,1,6,7,8]=>1101000 [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[5,4,3,2,1,6,7,8]=>1111000 [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]=>0000100 [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]=>1000100 [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,3,4,2,1]=>[1,3,2,4,6,5,7,8]=>0100100 [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>0010100 [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]=>1010100 [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[2,3,4,1,6,5,7,8]=>0010100 [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[3,2,4,1,6,5,7,8]=>0110100 [.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[7,5,6,8,3,4,2,1]=>[2,4,3,1,6,5,7,8]=>0110100 [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[4,3,2,1,6,5,7,8]=>1110100 [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]=>0000100 [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[8,6,7,4,3,5,2,1]=>[1,3,2,5,6,4,7,8]=>0100100 [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[2,3,1,5,6,4,7,8]=>0100100 [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[3,2,1,5,6,4,7,8]=>1100100 [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[1,2,3,6,5,4,7,8]=>0001100 [.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[1,3,2,6,5,4,7,8]=>0101100 [.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[2,3,1,6,5,4,7,8]=>0101100 [.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[3,2,1,6,5,4,7,8]=>1101100 [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>0000100 [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[8,7,5,3,4,6,2,1]=>[1,2,4,6,5,3,7,8]=>0001100 [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[2,1,4,6,5,3,7,8]=>1001100 [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>0010100 [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[7,8,4,3,5,6,2,1]=>[2,1,5,6,4,3,7,8]=>1010100 [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>0011100 [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[8,6,5,4,3,7,2,1]=>[1,3,4,5,6,2,7,8]=>0000100 [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[8,5,6,4,3,7,2,1]=>[1,4,3,5,6,2,7,8]=>0010100 [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[8,6,4,5,3,7,2,1]=>[1,3,5,4,6,2,7,8]=>0001100 [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[8,5,4,6,3,7,2,1]=>[1,4,5,3,6,2,7,8]=>0001100 [.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[8,4,5,6,3,7,2,1]=>[1,5,4,3,6,2,7,8]=>0011100 [.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[8,5,6,3,4,7,2,1]=>[1,4,3,6,5,2,7,8]=>0011100 [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[8,6,4,3,5,7,2,1]=>[1,3,5,6,4,2,7,8]=>0010100 [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[8,5,4,3,6,7,2,1]=>[1,4,5,6,3,2,7,8]=>0100100 [.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[8,4,5,3,6,7,2,1]=>[1,5,4,6,3,2,7,8]=>0101100 [.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[8,5,3,4,6,7,2,1]=>[1,4,6,5,3,2,7,8]=>0101100 [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[8,4,3,5,6,7,2,1]=>[1,5,6,4,3,2,7,8]=>0110100 [.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[8,3,4,5,6,7,2,1]=>[1,6,5,4,3,2,7,8]=>0111100 [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[2,3,4,5,6,1,7,8]=>0000100 [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[3,2,4,5,6,1,7,8]=>0100100 [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[3,4,2,5,6,1,7,8]=>0010100 [.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[4,3,2,5,6,1,7,8]=>0110100 [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[7,6,4,5,3,8,2,1]=>[2,3,5,4,6,1,7,8]=>0001100 [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[3,4,5,2,6,1,7,8]=>0001100 [.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[4,3,5,2,6,1,7,8]=>0011100 [.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[3,5,4,2,6,1,7,8]=>0011100 [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[4,5,3,2,6,1,7,8]=>0101100 [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[5,4,3,2,6,1,7,8]=>0111100 [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[7,6,5,3,4,8,2,1]=>[2,3,4,6,5,1,7,8]=>0001100 [.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[7,5,6,3,4,8,2,1]=>[2,4,3,6,5,1,7,8]=>0011100 [.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[5,6,7,3,4,8,2,1]=>[4,3,2,6,5,1,7,8]=>0111100 [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[7,6,4,3,5,8,2,1]=>[2,3,5,6,4,1,7,8]=>0010100 [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[2,3,6,5,4,1,7,8]=>0011100 [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[2,4,5,6,3,1,7,8]=>0100100 [.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[2,4,6,5,3,1,7,8]=>0101100 [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[3,4,5,6,2,1,7,8]=>1000100 [.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[4,5,6,3,7,8,2,1]=>[5,4,3,6,2,1,7,8]=>1011100 [.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[5,6,3,4,7,8,2,1]=>[4,3,6,5,2,1,7,8]=>1011100 [.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[6,3,4,5,7,8,2,1]=>[3,6,5,4,2,1,7,8]=>1011100 [.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[4,5,6,3,2,1,7,8]=>1100100 [.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[5,4,6,3,2,1,7,8]=>1101100 [.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[5,6,4,3,2,1,7,8]=>1110100 [.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[6,5,4,3,2,1,7,8]=>1111100 [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>0000010 [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,2,3,1]=>[2,1,3,4,5,7,6,8]=>1000010 [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>0100010 [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[2,3,1,4,5,7,6,8]=>0100010 [.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,2,3,1]=>[3,2,1,4,5,7,6,8]=>1100010 [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,2,3,1]=>[1,2,4,3,5,7,6,8]=>0010010 [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,2,3,1]=>[1,3,4,2,5,7,6,8]=>0010010 [.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[1,4,3,2,5,7,6,8]=>0110010 [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[2,3,4,1,5,7,6,8]=>0010010 [.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[3,2,4,1,5,7,6,8]=>0110010 [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[4,3,2,1,5,7,6,8]=>1110010 [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]=>0001010 [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>0101010 [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]=>0101010 [.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[3,2,1,5,4,7,6,8]=>1101010 [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,2,3,1]=>[1,2,4,5,3,7,6,8]=>0001010 [.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,2,3,1]=>[2,1,5,4,3,7,6,8]=>1011010 [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[1,3,4,5,2,7,6,8]=>0001010 [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[1,4,3,5,2,7,6,8]=>0011010 [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[1,3,5,4,2,7,6,8]=>0011010 [.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[8,5,4,6,7,2,3,1]=>[1,4,5,3,2,7,6,8]=>0101010 [.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[8,4,5,6,7,2,3,1]=>[1,5,4,3,2,7,6,8]=>0111010 [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[2,3,4,5,1,7,6,8]=>0001010 [.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[2,4,3,5,1,7,6,8]=>0011010 [.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[3,4,2,5,1,7,6,8]=>0011010 [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,2,3,1]=>[2,3,5,4,1,7,6,8]=>0011010 [.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,2,3,1]=>[3,2,5,4,1,7,6,8]=>0111010 [.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,2,3,1]=>[2,4,5,3,1,7,6,8]=>0101010 [.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[7,4,5,6,8,2,3,1]=>[2,5,4,3,1,7,6,8]=>0111010 [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,2,3,1]=>[3,4,5,2,1,7,6,8]=>1001010 [.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[6,4,5,7,8,2,3,1]=>[3,5,4,2,1,7,6,8]=>1011010 [.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,2,3,1]=>[4,5,3,2,1,7,6,8]=>1101010 [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[5,4,3,2,1,7,6,8]=>1111010 [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]=>0000010 [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[2,1,3,4,6,7,5,8]=>1000010 [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[2,3,1,4,6,7,5,8]=>0100010 [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,2,4,1]=>[1,2,4,3,6,7,5,8]=>0010010 [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,2,4,1]=>[2,1,4,3,6,7,5,8]=>1010010 [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>0010010 [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[1,4,3,2,6,7,5,8]=>0110010 [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[2,3,4,1,6,7,5,8]=>0010010 [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[3,2,4,1,6,7,5,8]=>0110010 [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[4,3,2,1,6,7,5,8]=>1110010 [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[1,2,3,4,7,6,5,8]=>0000110 [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[1,3,2,4,7,6,5,8]=>0100110 [.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[3,2,1,4,7,6,5,8]=>1100110 [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>0110110 [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[2,3,4,1,7,6,5,8]=>0010110 [.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[3,2,4,1,7,6,5,8]=>0110110 [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[4,3,2,1,7,6,5,8]=>1110110 [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]=>0000010 [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[1,3,2,5,6,7,4,8]=>0100010 [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[2,3,1,5,6,7,4,8]=>0100010 [.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[3,2,1,5,6,7,4,8]=>1100010 [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[1,2,3,6,5,7,4,8]=>0000110 [.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[1,3,2,6,5,7,4,8]=>0100110 [.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[2,3,1,6,5,7,4,8]=>0100110 [.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[6,7,8,3,4,2,5,1]=>[3,2,1,6,5,7,4,8]=>1100110 [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,2,3,5,1]=>[1,2,3,5,7,6,4,8]=>0000110 [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,2,3,5,1]=>[1,3,2,5,7,6,4,8]=>0100110 [.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[3,2,1,5,7,6,4,8]=>1100110 [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[8,7,6,3,2,4,5,1]=>[1,2,3,6,7,5,4,8]=>0001010 [.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[7,8,6,3,2,4,5,1]=>[2,1,3,6,7,5,4,8]=>1001010 [.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[1,3,2,6,7,5,4,8]=>0101010 [.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[7,6,8,3,2,4,5,1]=>[2,3,1,6,7,5,4,8]=>0101010 [.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[3,2,1,6,7,5,4,8]=>1101010 [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[1,2,3,7,6,5,4,8]=>0001110 [.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[1,3,2,7,6,5,4,8]=>0101110 [.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[3,2,1,7,6,5,4,8]=>1101110 [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[8,7,5,4,3,2,6,1]=>[1,2,4,5,6,7,3,8]=>0000010 [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[7,8,5,4,3,2,6,1]=>[2,1,4,5,6,7,3,8]=>1000010 [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[8,7,4,5,3,2,6,1]=>[1,2,5,4,6,7,3,8]=>0001010 [.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[7,8,4,5,3,2,6,1]=>[2,1,5,4,6,7,3,8]=>1001010 [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[8,7,4,3,5,2,6,1]=>[1,2,5,6,4,7,3,8]=>0000110 [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[1,2,4,6,7,5,3,8]=>0001010 [.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[7,8,5,3,2,4,6,1]=>[2,1,4,6,7,5,3,8]=>1001010 [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[8,7,4,3,2,5,6,1]=>[1,2,5,6,7,4,3,8]=>0010010 [.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[2,1,5,6,7,4,3,8]=>1010010 [.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[8,7,4,2,3,5,6,1]=>[1,2,5,7,6,4,3,8]=>0010110 [.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>[8,7,3,2,4,5,6,1]=>[1,2,6,7,5,4,3,8]=>0011010 [.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[2,1,6,7,5,4,3,8]=>1011010 [.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[8,7,2,3,4,5,6,1]=>[1,2,7,6,5,4,3,8]=>0011110 [.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[7,8,2,3,4,5,6,1]=>[2,1,7,6,5,4,3,8]=>1011110 [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>0000010 [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[8,6,4,5,3,2,7,1]=>[1,3,5,4,6,7,2,8]=>0001010 [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[8,5,4,6,3,2,7,1]=>[1,4,5,3,6,7,2,8]=>0001010 [.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[8,4,5,6,3,2,7,1]=>[1,5,4,3,6,7,2,8]=>0011010 [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[8,6,5,3,4,2,7,1]=>[1,3,4,6,5,7,2,8]=>0000110 [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[1,4,3,6,5,7,2,8]=>0010110 [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>0000110 [.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>0001110 [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[8,5,4,3,6,2,7,1]=>[1,4,5,6,3,7,2,8]=>0000110 [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[1,5,4,6,3,7,2,8]=>0001110 [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[8,6,5,4,2,3,7,1]=>[1,3,4,5,7,6,2,8]=>0000110 [.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>0010110 [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[8,6,4,5,2,3,7,1]=>[1,3,5,4,7,6,2,8]=>0001110 [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[8,6,5,3,2,4,7,1]=>[1,3,4,6,7,5,2,8]=>0001010 [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[8,6,4,3,2,5,7,1]=>[1,3,5,6,7,4,2,8]=>0010010 [.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[8,6,3,4,2,5,7,1]=>[1,3,6,5,7,4,2,8]=>0010110 [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[1,3,5,7,6,4,2,8]=>0010110 [.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[8,6,2,3,4,5,7,1]=>[1,3,7,6,5,4,2,8]=>0011110 [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>0100010 [.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[8,4,5,3,2,6,7,1]=>[1,5,4,6,7,3,2,8]=>0101010 [.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>0100110 [.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[8,4,3,5,2,6,7,1]=>[1,5,6,4,7,3,2,8]=>0100110 [.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[8,4,5,2,3,6,7,1]=>[1,5,4,7,6,3,2,8]=>0101110 [.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[8,5,3,2,4,6,7,1]=>[1,4,6,7,5,3,2,8]=>0101010 [.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[8,5,2,3,4,6,7,1]=>[1,4,7,6,5,3,2,8]=>0101110 [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>0110010 [.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[8,3,4,2,5,6,7,1]=>[1,6,5,7,4,3,2,8]=>0110110 [.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>0111010 [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>0111110 [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[2,3,4,5,6,7,1,8]=>0000010 [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[3,2,4,5,6,7,1,8]=>0100010 [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[3,4,2,5,6,7,1,8]=>0010010 [.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[4,3,2,5,6,7,1,8]=>0110010 [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[7,6,4,5,3,2,8,1]=>[2,3,5,4,6,7,1,8]=>0001010 [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[7,5,4,6,3,2,8,1]=>[2,4,5,3,6,7,1,8]=>0001010 [.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[2,5,4,3,6,7,1,8]=>0011010 [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[3,4,5,2,6,7,1,8]=>0001010 [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[3,5,4,2,6,7,1,8]=>0011010 [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[5,4,3,2,6,7,1,8]=>0111010 [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[7,6,5,3,4,2,8,1]=>[2,3,4,6,5,7,1,8]=>0000110 [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[2,4,3,6,5,7,1,8]=>0010110 [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[3,4,2,6,5,7,1,8]=>0010110 [.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[5,6,7,3,4,2,8,1]=>[4,3,2,6,5,7,1,8]=>0110110 [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[7,6,4,3,5,2,8,1]=>[2,3,5,6,4,7,1,8]=>0000110 [.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[6,7,3,4,5,2,8,1]=>[3,2,6,5,4,7,1,8]=>0101110 [.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[2,5,4,6,3,7,1,8]=>0001110 [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[3,4,5,6,2,7,1,8]=>0000110 [.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[4,3,5,6,2,7,1,8]=>0010110 [.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[3,5,4,6,2,7,1,8]=>0001110 [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[4,5,3,6,2,7,1,8]=>0001110 [.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[5,4,3,6,2,7,1,8]=>0011110 [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[3,4,6,5,2,7,1,8]=>0001110 [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[6,4,3,5,7,2,8,1]=>[3,5,6,4,2,7,1,8]=>0010110 [.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[6,3,4,5,7,2,8,1]=>[3,6,5,4,2,7,1,8]=>0011110 [.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[5,4,6,3,2,7,1,8]=>0101110 [.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[5,6,4,3,2,7,1,8]=>0110110 [.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[6,5,4,3,2,7,1,8]=>0111110 [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,2,3,8,1]=>[2,3,4,5,7,6,1,8]=>0000110 [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[3,4,2,5,7,6,1,8]=>0010110 [.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[4,3,2,5,7,6,1,8]=>0110110 [.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[3,2,5,4,7,6,1,8]=>0101110 [.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[3,4,5,2,7,6,1,8]=>0001110 [.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[4,3,5,2,7,6,1,8]=>0011110 [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[3,5,4,2,7,6,1,8]=>0011110 [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[4,5,3,2,7,6,1,8]=>0101110 [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[5,4,3,2,7,6,1,8]=>0111110 [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[7,6,5,3,2,4,8,1]=>[2,3,4,6,7,5,1,8]=>0001010 [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[3,2,4,6,7,5,1,8]=>0101010 [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[3,4,2,6,7,5,1,8]=>0011010 [.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[5,6,7,3,2,4,8,1]=>[4,3,2,6,7,5,1,8]=>0111010 [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[2,3,4,7,6,5,1,8]=>0001110 [.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>[6,5,7,2,3,4,8,1]=>[3,4,2,7,6,5,1,8]=>0011110 [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[7,6,4,3,2,5,8,1]=>[2,3,5,6,7,4,1,8]=>0010010 [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[3,2,5,6,7,4,1,8]=>0110010 [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[7,6,3,4,2,5,8,1]=>[2,3,6,5,7,4,1,8]=>0010110 [.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[6,7,3,4,2,5,8,1]=>[3,2,6,5,7,4,1,8]=>0110110 [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[2,3,5,7,6,4,1,8]=>0010110 [.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[6,7,4,2,3,5,8,1]=>[3,2,5,7,6,4,1,8]=>0110110 [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[7,6,3,2,4,5,8,1]=>[2,3,6,7,5,4,1,8]=>0011010 [.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[3,2,6,7,5,4,1,8]=>0111010 [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[7,6,2,3,4,5,8,1]=>[2,3,7,6,5,4,1,8]=>0011110 [.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[3,2,7,6,5,4,1,8]=>0111110 [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[7,5,4,3,2,6,8,1]=>[2,4,5,6,7,3,1,8]=>0100010 [.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[7,4,5,3,2,6,8,1]=>[2,5,4,6,7,3,1,8]=>0101010 [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[7,4,3,5,2,6,8,1]=>[2,5,6,4,7,3,1,8]=>0100110 [.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[7,4,5,2,3,6,8,1]=>[2,5,4,7,6,3,1,8]=>0101110 [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[7,5,3,2,4,6,8,1]=>[2,4,6,7,5,3,1,8]=>0101010 [.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[7,4,3,2,5,6,8,1]=>[2,5,6,7,4,3,1,8]=>0110010 [.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[7,4,2,3,5,6,8,1]=>[2,5,7,6,4,3,1,8]=>0110110 [.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[7,3,2,4,5,6,8,1]=>[2,6,7,5,4,3,1,8]=>0111010 [.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[7,2,3,4,5,6,8,1]=>[2,7,6,5,4,3,1,8]=>0111110 [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[3,4,5,6,7,2,1,8]=>1000010 [.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[4,5,6,3,2,7,8,1]=>[5,4,3,6,7,2,1,8]=>1011010 [.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[5,6,3,4,2,7,8,1]=>[4,3,6,5,7,2,1,8]=>1010110 [.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[6,4,3,5,2,7,8,1]=>[3,5,6,4,7,2,1,8]=>1000110 [.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[6,3,4,5,2,7,8,1]=>[3,6,5,4,7,2,1,8]=>1001110 [.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[4,5,3,6,2,7,8,1]=>[5,4,6,3,7,2,1,8]=>1001110 [.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[5,6,4,3,7,2,1,8]=>1010110 [.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[6,5,4,3,7,2,1,8]=>1011110 [.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[5,6,4,2,3,7,8,1]=>[4,3,5,7,6,2,1,8]=>1010110 [.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[3,5,4,7,6,2,1,8]=>1001110 [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[4,5,3,7,6,2,1,8]=>1001110 [.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[4,5,6,2,3,7,8,1]=>[5,4,3,7,6,2,1,8]=>1011110 [.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[3,4,7,6,5,2,1,8]=>1001110 [.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[5,6,2,3,4,7,8,1]=>[4,3,7,6,5,2,1,8]=>1011110 [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[6,4,3,2,5,7,8,1]=>[3,5,6,7,4,2,1,8]=>1010010 [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[6,4,2,3,5,7,8,1]=>[3,5,7,6,4,2,1,8]=>1010110 [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[4,5,6,7,3,2,1,8]=>1100010 [.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[5,4,6,7,3,2,1,8]=>1101010 [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[5,3,4,2,6,7,8,1]=>[4,6,5,7,3,2,1,8]=>1100110 [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[5,6,4,7,3,2,1,8]=>1100110 [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[6,5,4,7,3,2,1,8]=>1101110 [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[4,5,7,6,3,2,1,8]=>1100110 [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[5,4,7,6,3,2,1,8]=>1101110 [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[5,3,2,4,6,7,8,1]=>[4,6,7,5,3,2,1,8]=>1101010 [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[4,7,6,5,3,2,1,8]=>1101110 [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[5,6,7,4,3,2,1,8]=>1110010 [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[6,5,7,4,3,2,1,8]=>1110110 [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[4,2,3,5,6,7,8,1]=>[5,7,6,4,3,2,1,8]=>1110110 [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[6,7,5,4,3,2,1,8]=>1111010 [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[7,6,5,4,3,2,1,8]=>1111110 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>0000001 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>1000001 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,3,1,2]=>[1,3,2,4,5,6,8,7]=>0100001 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,3,1,2]=>[2,3,1,4,5,6,8,7]=>0100001 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,3,1,2]=>[3,2,1,4,5,6,8,7]=>1100001 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]=>0010001 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]=>1010001 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,3,1,2]=>[1,3,4,2,5,6,8,7]=>0010001 [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,3,1,2]=>[1,4,3,2,5,6,8,7]=>0110001 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[2,3,4,1,5,6,8,7]=>0010001 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[3,2,4,1,5,6,8,7]=>0110001 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,3,1,2]=>[3,4,2,1,5,6,8,7]=>1010001 [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[4,3,2,1,5,6,8,7]=>1110001 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,3,1,2]=>[1,2,3,5,4,6,8,7]=>0001001 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>1001001 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[7,8,5,4,6,3,1,2]=>[2,1,4,5,3,6,8,7]=>1001001 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,3,1,2]=>[1,2,5,4,3,6,8,7]=>0011001 [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[2,1,5,4,3,6,8,7]=>1011001 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,3,1,2]=>[1,3,4,5,2,6,8,7]=>0001001 [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,3,1,2]=>[1,3,5,4,2,6,8,7]=>0011001 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[8,5,4,6,7,3,1,2]=>[1,4,5,3,2,6,8,7]=>0101001 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,3,1,2]=>[2,3,4,5,1,6,8,7]=>0001001 [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,3,1,2]=>[2,4,3,5,1,6,8,7]=>0011001 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[2,3,5,4,1,6,8,7]=>0011001 [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[3,2,5,4,1,6,8,7]=>0111001 [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,3,1,2]=>[2,4,5,3,1,6,8,7]=>0101001 [[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[7,4,5,6,8,3,1,2]=>[2,5,4,3,1,6,8,7]=>0111001 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,3,1,2]=>[3,4,5,2,1,6,8,7]=>1001001 [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[4,3,5,2,1,6,8,7]=>1011001 [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,3,1,2]=>[4,5,3,2,1,6,8,7]=>1101001 [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[5,4,3,2,1,6,8,7]=>1111001 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]=>0000101 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]=>1000101 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,4,1,2]=>[1,3,2,4,6,5,8,7]=>0100101 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,4,1,2]=>[2,3,1,4,6,5,8,7]=>0100101 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]=>0010101 [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>1010101 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,4,1,2]=>[1,3,4,2,6,5,8,7]=>0010101 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]=>0010101 [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[3,2,4,1,6,5,8,7]=>0110101 [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[2,4,3,1,6,5,8,7]=>0110101 [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[3,4,2,1,6,5,8,7]=>1010101 [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>1110101 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,5,1,2]=>[1,2,3,5,6,4,8,7]=>0000101 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,3,5,1,2]=>[2,1,3,5,6,4,8,7]=>1000101 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,3,5,1,2]=>[1,3,2,5,6,4,8,7]=>0100101 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[1,2,3,6,5,4,8,7]=>0001101 [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[2,1,3,6,5,4,8,7]=>1001101 [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[8,6,7,3,4,5,1,2]=>[1,3,2,6,5,4,8,7]=>0101101 [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[7,6,8,3,4,5,1,2]=>[2,3,1,6,5,4,8,7]=>0101101 [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[6,7,8,3,4,5,1,2]=>[3,2,1,6,5,4,8,7]=>1101101 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[8,7,5,4,3,6,1,2]=>[1,2,4,5,6,3,8,7]=>0000101 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>1000101 [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[2,1,5,4,6,3,8,7]=>1001101 [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[2,1,4,6,5,3,8,7]=>1001101 [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>1010101 [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>1011101 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[8,6,5,4,3,7,1,2]=>[1,3,4,5,6,2,8,7]=>0000101 [[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[8,6,3,4,5,7,1,2]=>[1,3,6,5,4,2,8,7]=>0011101 [[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[8,4,5,3,6,7,1,2]=>[1,5,4,6,3,2,8,7]=>0101101 [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[1,5,6,4,3,2,8,7]=>0110101 [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[8,3,4,5,6,7,1,2]=>[1,6,5,4,3,2,8,7]=>0111101 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]=>0000101 [[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,3,8,1,2]=>[2,4,3,5,6,1,8,7]=>0010101 [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,3,8,1,2]=>[3,4,2,5,6,1,8,7]=>0010101 [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[4,3,2,5,6,1,8,7]=>0110101 [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[3,2,5,4,6,1,8,7]=>0101101 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[2,4,5,3,6,1,8,7]=>0001101 [[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,3,8,1,2]=>[2,5,4,3,6,1,8,7]=>0011101 [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[3,4,5,2,6,1,8,7]=>0001101 [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[4,3,5,2,6,1,8,7]=>0011101 [[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,3,8,1,2]=>[3,5,4,2,6,1,8,7]=>0011101 [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[4,5,3,2,6,1,8,7]=>0101101 [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[5,4,3,2,6,1,8,7]=>0111101 [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[2,4,3,6,5,1,8,7]=>0011101 [[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[6,5,7,3,4,8,1,2]=>[3,4,2,6,5,1,8,7]=>0011101 [[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[5,6,7,3,4,8,1,2]=>[4,3,2,6,5,1,8,7]=>0111101 [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[7,6,4,3,5,8,1,2]=>[2,3,5,6,4,1,8,7]=>0010101 [[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[6,7,4,3,5,8,1,2]=>[3,2,5,6,4,1,8,7]=>0110101 [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[2,3,6,5,4,1,8,7]=>0011101 [[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[6,7,3,4,5,8,1,2]=>[3,2,6,5,4,1,8,7]=>0111101 [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[2,4,6,5,3,1,8,7]=>0101101 [[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[7,3,4,5,6,8,1,2]=>[2,6,5,4,3,1,8,7]=>0111101 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[3,4,5,6,2,1,8,7]=>1000101 [[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>[5,6,4,3,7,8,1,2]=>[4,3,5,6,2,1,8,7]=>1010101 [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[4,5,3,6,2,1,8,7]=>1001101 [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[5,4,3,6,2,1,8,7]=>1011101 [[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>[6,5,3,4,7,8,1,2]=>[3,4,6,5,2,1,8,7]=>1001101 [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[4,3,6,5,2,1,8,7]=>1011101 [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[3,5,6,4,2,1,8,7]=>1010101 [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[3,6,5,4,2,1,8,7]=>1011101 [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[4,5,6,3,2,1,8,7]=>1100101 [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[5,4,6,3,2,1,8,7]=>1101101 [[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[4,6,5,3,2,1,8,7]=>1101101 [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[5,6,4,3,2,1,8,7]=>1110101 [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>1111101 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>0000001 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,2,1,3]=>[2,1,3,4,5,7,8,6]=>1000001 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[8,6,7,5,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>0100001 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>0100001 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[3,2,1,4,5,7,8,6]=>1100001 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]=>0010001 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[2,1,4,3,5,7,8,6]=>1010001 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,2,1,3]=>[1,3,4,2,5,7,8,6]=>0010001 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,2,1,3]=>[1,4,3,2,5,7,8,6]=>0110001 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[2,3,4,1,5,7,8,6]=>0010001 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[3,2,4,1,5,7,8,6]=>0110001 [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[4,3,2,1,5,7,8,6]=>1110001 [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,2,1,3]=>[1,2,3,5,4,7,8,6]=>0001001 [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,2,1,3]=>[2,1,3,5,4,7,8,6]=>1001001 [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,8,6]=>0101001 [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,2,1,3]=>[1,2,4,5,3,7,8,6]=>0001001 [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[1,2,5,4,3,7,8,6]=>0011001 [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,2,1,3]=>[1,3,4,5,2,7,8,6]=>0001001 [[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,2,1,3]=>[1,4,3,5,2,7,8,6]=>0011001 [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,2,1,3]=>[1,3,5,4,2,7,8,6]=>0011001 [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,2,1,3]=>[1,4,5,3,2,7,8,6]=>0101001 [[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,2,1,3]=>[1,5,4,3,2,7,8,6]=>0111001 [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,2,1,3]=>[2,3,4,5,1,7,8,6]=>0001001 [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[2,4,3,5,1,7,8,6]=>0011001 [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,2,1,3]=>[3,4,2,5,1,7,8,6]=>0011001 [[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,2,1,3]=>[4,3,2,5,1,7,8,6]=>0111001 [[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,2,1,3]=>[3,2,5,4,1,7,8,6]=>0111001 [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,2,1,3]=>[2,4,5,3,1,7,8,6]=>0101001 [[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,2,1,3]=>[2,5,4,3,1,7,8,6]=>0111001 [[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,2,1,3]=>[3,4,5,2,1,7,8,6]=>1001001 [[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,2,1,3]=>[3,5,4,2,1,7,8,6]=>1011001 [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[5,4,3,2,1,7,8,6]=>1111001 [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>0000011 [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,1,2,3]=>[2,1,3,4,5,8,7,6]=>1000011 [[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[8,6,7,5,4,1,2,3]=>[1,3,2,4,5,8,7,6]=>0100011 [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>1100011 [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,1,2,3]=>[1,2,4,3,5,8,7,6]=>0010011 [[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[2,1,4,3,5,8,7,6]=>1010011 [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,1,2,3]=>[1,3,4,2,5,8,7,6]=>0010011 [[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[1,4,3,2,5,8,7,6]=>0110011 [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[2,3,4,1,5,8,7,6]=>0010011 [[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[3,2,4,1,5,8,7,6]=>0110011 [[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[2,4,3,1,5,8,7,6]=>0110011 [[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[3,4,2,1,5,8,7,6]=>1010011 [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[4,3,2,1,5,8,7,6]=>1110011 [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>[1,2,3,5,4,8,7,6]=>0001011 [[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,1,2,3]=>[2,1,3,5,4,8,7,6]=>1001011 [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[1,3,2,5,4,8,7,6]=>0101011 [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[1,2,4,5,3,8,7,6]=>0001011 [[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,1,2,3]=>[2,1,4,5,3,8,7,6]=>1001011 [[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>[1,2,5,4,3,8,7,6]=>0011011 [[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,1,2,3]=>[2,1,5,4,3,8,7,6]=>1011011 [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[1,3,4,5,2,8,7,6]=>0001011 [[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[1,4,3,5,2,8,7,6]=>0011011 [[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,1,2,3]=>[1,4,5,3,2,8,7,6]=>0101011 [[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,1,2,3]=>[1,5,4,3,2,8,7,6]=>0111011 [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[2,3,4,5,1,8,7,6]=>0001011 [[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[3,2,4,5,1,8,7,6]=>0101011 [[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[2,4,3,5,1,8,7,6]=>0011011 [[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[3,4,2,5,1,8,7,6]=>0011011 [[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[4,3,2,5,1,8,7,6]=>0111011 [[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[2,3,5,4,1,8,7,6]=>0011011 [[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[3,2,5,4,1,8,7,6]=>0111011 [[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[2,4,5,3,1,8,7,6]=>0101011 [[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[2,5,4,3,1,8,7,6]=>0111011 [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[3,4,5,2,1,8,7,6]=>1001011 [[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[4,3,5,2,1,8,7,6]=>1011011 [[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[3,5,4,2,1,8,7,6]=>1011011 [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[4,5,3,2,1,8,7,6]=>1101011 [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[5,4,3,2,1,8,7,6]=>1111011 [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>0000001 [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]=>1000001 [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]=>0100001 [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]=>0100001 [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[3,2,1,4,6,7,8,5]=>1100001 [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]=>0010001 [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]=>1010001 [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[1,3,4,2,6,7,8,5]=>0010001 [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[1,4,3,2,6,7,8,5]=>0110001 [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>0010001 [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[3,2,4,1,6,7,8,5]=>0110001 [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[2,4,3,1,6,7,8,5]=>0110001 [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[3,4,2,1,6,7,8,5]=>1010001 [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[4,3,2,1,6,7,8,5]=>1110001 [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[1,2,3,4,7,6,8,5]=>0000011 [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[2,1,3,4,7,6,8,5]=>1000011 [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[1,3,2,4,7,6,8,5]=>0100011 [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[2,3,1,4,7,6,8,5]=>0100011 [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[1,2,4,3,7,6,8,5]=>0010011 [[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[2,1,4,3,7,6,8,5]=>1010011 [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[1,3,4,2,7,6,8,5]=>0010011 [[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[1,4,3,2,7,6,8,5]=>0110011 [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[2,3,4,1,7,6,8,5]=>0010011 [[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5]=>0110011 [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>0110011 [[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,3,1,4]=>[3,4,2,1,7,6,8,5]=>1010011 [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[4,3,2,1,7,6,8,5]=>1110011 [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>0000011 [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,1,2,4]=>[1,3,2,4,6,8,7,5]=>0100011 [[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,1,2,4]=>[3,2,1,4,6,8,7,5]=>1100011 [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,1,2,4]=>[1,2,4,3,6,8,7,5]=>0010011 [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[2,1,4,3,6,8,7,5]=>1010011 [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[1,3,4,2,6,8,7,5]=>0010011 [[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,1,2,4]=>[1,4,3,2,6,8,7,5]=>0110011 [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[2,3,4,1,6,8,7,5]=>0010011 [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>0110011 [[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[2,4,3,1,6,8,7,5]=>0110011 [[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[3,4,2,1,6,8,7,5]=>1010011 [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[4,3,2,1,6,8,7,5]=>1110011 [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>0000101 [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,1,3,4]=>[2,1,3,4,7,8,6,5]=>1000101 [[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[2,3,1,4,7,8,6,5]=>0100101 [[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[3,2,1,4,7,8,6,5]=>1100101 [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,1,3,4]=>[1,2,4,3,7,8,6,5]=>0010101 [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[2,1,4,3,7,8,6,5]=>1010101 [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[1,3,4,2,7,8,6,5]=>0010101 [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[2,3,4,1,7,8,6,5]=>0010101 [[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[3,2,4,1,7,8,6,5]=>0110101 [[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[2,4,3,1,7,8,6,5]=>0110101 [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>1010101 [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[4,3,2,1,7,8,6,5]=>1110101 [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>0000111 [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[2,1,3,4,8,7,6,5]=>1000111 [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[1,3,2,4,8,7,6,5]=>0100111 [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[2,3,1,4,8,7,6,5]=>0100111 [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[3,2,1,4,8,7,6,5]=>1100111 [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[1,2,4,3,8,7,6,5]=>0010111 [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>1010111 [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[1,3,4,2,8,7,6,5]=>0010111 [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[1,4,3,2,8,7,6,5]=>0110111 [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[2,3,4,1,8,7,6,5]=>0010111 [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[3,2,4,1,8,7,6,5]=>0110111 [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[2,4,3,1,8,7,6,5]=>0110111 [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[3,4,2,1,8,7,6,5]=>1010111 [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>1110111 [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>0000001 [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[2,1,3,5,6,7,8,4]=>1000001 [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[1,3,2,5,6,7,8,4]=>0100001 [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]=>0100001 [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[3,2,1,5,6,7,8,4]=>1100001 [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[1,2,3,6,5,7,8,4]=>0000101 [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[8,6,7,3,4,2,1,5]=>[1,3,2,6,5,7,8,4]=>0100101 [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[3,2,1,6,5,7,8,4]=>1100101 [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[1,2,3,5,7,6,8,4]=>0000011 [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,2,3,1,5]=>[2,1,3,5,7,6,8,4]=>1000011 [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,2,3,1,5]=>[1,3,2,5,7,6,8,4]=>0100011 [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[2,3,1,5,7,6,8,4]=>0100011 [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[3,2,1,5,7,6,8,4]=>1100011 [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[1,2,3,6,7,5,8,4]=>0000011 [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[8,6,7,3,2,4,1,5]=>[1,3,2,6,7,5,8,4]=>0100011 [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[7,6,8,3,2,4,1,5]=>[2,3,1,6,7,5,8,4]=>0100011 [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[3,2,1,6,7,5,8,4]=>1100011 [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[1,2,3,7,6,5,8,4]=>0000111 [[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[8,6,7,2,3,4,1,5]=>[1,3,2,7,6,5,8,4]=>0100111 [[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[7,6,8,2,3,4,1,5]=>[2,3,1,7,6,5,8,4]=>0100111 [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[3,2,1,7,6,5,8,4]=>1100111 [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>0000011 [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,3,1,2,5]=>[1,3,2,5,6,8,7,4]=>0100011 [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[3,2,1,5,6,8,7,4]=>1100011 [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[1,2,3,6,5,8,7,4]=>0000111 [[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[7,8,6,3,4,1,2,5]=>[2,1,3,6,5,8,7,4]=>1000111 [[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[8,6,7,3,4,1,2,5]=>[1,3,2,6,5,8,7,4]=>0100111 [[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[7,6,8,3,4,1,2,5]=>[2,3,1,6,5,8,7,4]=>0100111 [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[3,2,1,6,5,8,7,4]=>1100111 [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>0000101 [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[1,3,2,5,7,8,6,4]=>0100101 [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,2,1,3,5]=>[2,3,1,5,7,8,6,4]=>0100101 [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[3,2,1,5,7,8,6,4]=>1100101 [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>0000111 [[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,1,2,3,5]=>[1,3,2,5,8,7,6,4]=>0100111 [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[3,2,1,5,8,7,6,4]=>1100111 [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>0001001 [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[7,8,6,3,2,1,4,5]=>[2,1,3,6,7,8,5,4]=>1001001 [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[8,6,7,3,2,1,4,5]=>[1,3,2,6,7,8,5,4]=>0101001 [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[2,3,1,6,7,8,5,4]=>0101001 [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[3,2,1,6,7,8,5,4]=>1101001 [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[1,2,3,7,6,8,5,4]=>0001011 [[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[8,6,7,2,3,1,4,5]=>[1,3,2,7,6,8,5,4]=>0101011 [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[2,3,1,7,6,8,5,4]=>0101011 [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[3,2,1,7,6,8,5,4]=>1101011 [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>0001011 [[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[2,1,3,6,8,7,5,4]=>1001011 [[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,5,4]=>0101011 [[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[7,6,8,3,1,2,4,5]=>[2,3,1,6,8,7,5,4]=>0101011 [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[3,2,1,6,8,7,5,4]=>1101011 [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>0001101 [[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,5,4]=>1001101 [[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[7,6,8,2,1,3,4,5]=>[2,3,1,7,8,6,5,4]=>0101101 [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[3,2,1,7,8,6,5,4]=>1101101 [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>0001111 [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[2,1,3,8,7,6,5,4]=>1001111 [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[1,3,2,8,7,6,5,4]=>0101111 [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[2,3,1,8,7,6,5,4]=>0101111 [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[3,2,1,8,7,6,5,4]=>1101111 [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]=>0000001 [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[2,1,4,5,6,7,8,3]=>1000001 [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[8,7,4,5,3,2,1,6]=>[1,2,5,4,6,7,8,3]=>0001001 [[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[7,8,4,5,3,2,1,6]=>[2,1,5,4,6,7,8,3]=>1001001 [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[1,2,4,6,5,7,8,3]=>0000101 [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[8,7,4,3,5,2,1,6]=>[1,2,5,6,4,7,8,3]=>0000101 [[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[7,8,4,3,5,2,1,6]=>[2,1,5,6,4,7,8,3]=>1000101 [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[1,2,6,5,4,7,8,3]=>0001101 [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[1,2,5,4,7,6,8,3]=>0001011 [[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[2,1,5,4,7,6,8,3]=>1001011 [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[7,8,5,3,2,4,1,6]=>[2,1,4,6,7,5,8,3]=>1000011 [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[8,7,5,2,3,4,1,6]=>[1,2,4,7,6,5,8,3]=>0000111 [[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[7,8,5,2,3,4,1,6]=>[2,1,4,7,6,5,8,3]=>1000111 [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[1,2,5,6,7,4,8,3]=>0000011 [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[2,1,5,6,7,4,8,3]=>1000011 [[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[2,1,6,5,7,4,8,3]=>1000111 [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[8,7,4,2,3,5,1,6]=>[1,2,5,7,6,4,8,3]=>0000111 [[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[7,8,4,2,3,5,1,6]=>[2,1,5,7,6,4,8,3]=>1000111 [[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[7,8,3,2,4,5,1,6]=>[2,1,6,7,5,4,8,3]=>1001011 [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[8,7,2,3,4,5,1,6]=>[1,2,7,6,5,4,8,3]=>0001111 [[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[7,8,2,3,4,5,1,6]=>[2,1,7,6,5,4,8,3]=>1001111 [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[1,2,4,5,6,8,7,3]=>0000011 [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[2,1,4,5,6,8,7,3]=>1000011 [[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,3,1,2,6]=>[1,2,5,4,6,8,7,3]=>0001011 [[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,3,1,2,6]=>[2,1,5,4,6,8,7,3]=>1001011 [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[1,2,4,6,5,8,7,3]=>0000111 [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[2,1,4,6,5,8,7,3]=>1000111 [[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[7,8,4,3,5,1,2,6]=>[2,1,5,6,4,8,7,3]=>1000111 [[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[8,7,3,4,5,1,2,6]=>[1,2,6,5,4,8,7,3]=>0001111 [[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[7,8,3,4,5,1,2,6]=>[2,1,6,5,4,8,7,3]=>1001111 [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,2,1,3,6]=>[1,2,4,5,7,8,6,3]=>0000101 [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[2,1,4,5,7,8,6,3]=>1000101 [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,2,1,3,6]=>[1,2,5,4,7,8,6,3]=>0001101 [[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,2,1,3,6]=>[2,1,5,4,7,8,6,3]=>1001101 [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,1,2,3,6]=>[1,2,4,5,8,7,6,3]=>0000111 [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[2,1,4,5,8,7,6,3]=>1000111 [[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[1,2,5,4,8,7,6,3]=>0001111 [[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,1,2,3,6]=>[2,1,5,4,8,7,6,3]=>1001111 [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[1,2,4,6,7,8,5,3]=>0001001 [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[2,1,4,6,7,8,5,3]=>1001001 [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[1,2,4,7,6,8,5,3]=>0001011 [[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[7,8,5,2,3,1,4,6]=>[2,1,4,7,6,8,5,3]=>1001011 [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[1,2,4,6,8,7,5,3]=>0001011 [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[2,1,4,6,8,7,5,3]=>1001011 [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>0001101 [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[2,1,4,7,8,6,5,3]=>1001101 [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>0001111 [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[2,1,4,8,7,6,5,3]=>1001111 [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>0010001 [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[2,1,5,6,7,8,4,3]=>1010001 [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[1,2,6,5,7,8,4,3]=>0010101 [[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[2,1,6,5,7,8,4,3]=>1010101 [[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[2,1,5,7,6,8,4,3]=>1010011 [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[2,1,6,7,5,8,4,3]=>1010011 [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[8,7,2,3,4,1,5,6]=>[1,2,7,6,5,8,4,3]=>0010111 [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[2,1,7,6,5,8,4,3]=>1010111 [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[8,7,4,3,1,2,5,6]=>[1,2,5,6,8,7,4,3]=>0010011 [[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[2,1,5,6,8,7,4,3]=>1010011 [[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[1,2,6,5,8,7,4,3]=>0010111 [[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[2,1,6,5,8,7,4,3]=>1010111 [[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[2,1,5,7,8,6,4,3]=>1010101 [[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[8,7,4,1,2,3,5,6]=>[1,2,5,8,7,6,4,3]=>0010111 [[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[2,1,5,8,7,6,4,3]=>1010111 [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[1,2,6,7,8,5,4,3]=>0011001 [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[2,1,6,7,8,5,4,3]=>1011001 [[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[8,7,2,3,1,4,5,6]=>[1,2,7,6,8,5,4,3]=>0011011 [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[2,1,7,6,8,5,4,3]=>1011011 [[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[2,1,6,8,7,5,4,3]=>1011011 [[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[1,2,7,8,6,5,4,3]=>0011101 [[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[2,1,7,8,6,5,4,3]=>1011101 [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>[1,2,8,7,6,5,4,3]=>0011111 [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>1011111 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[1,3,4,5,6,7,8,2]=>0000001 [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[1,4,3,5,6,7,8,2]=>0010001 [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[8,6,4,5,3,2,1,7]=>[1,3,5,4,6,7,8,2]=>0001001 [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[8,5,4,6,3,2,1,7]=>[1,4,5,3,6,7,8,2]=>0001001 [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[1,5,4,3,6,7,8,2]=>0011001 [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[1,3,4,6,5,7,8,2]=>0000101 [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[1,4,3,6,5,7,8,2]=>0010101 [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[8,6,4,3,5,2,1,7]=>[1,3,5,6,4,7,8,2]=>0000101 [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[1,5,4,6,3,7,8,2]=>0001101 [[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[1,6,5,4,3,7,8,2]=>0011101 [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[1,3,4,5,7,6,8,2]=>0000011 [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,2,3,1,7]=>[1,3,5,4,7,6,8,2]=>0001011 [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[1,3,4,6,7,5,8,2]=>0000011 [[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[8,5,6,3,2,4,1,7]=>[1,4,3,6,7,5,8,2]=>0010011 [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[1,3,4,7,6,5,8,2]=>0000111 [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[8,6,4,3,2,5,1,7]=>[1,3,5,6,7,4,8,2]=>0000011 [[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[8,6,3,4,2,5,1,7]=>[1,3,6,5,7,4,8,2]=>0000111 [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[1,3,5,7,6,4,8,2]=>0000111 [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[8,5,4,3,2,6,1,7]=>[1,4,5,6,7,3,8,2]=>0000011 [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[8,4,5,3,2,6,1,7]=>[1,5,4,6,7,3,8,2]=>0001011 [[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[8,5,3,4,2,6,1,7]=>[1,4,6,5,7,3,8,2]=>0000111 [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[8,4,3,5,2,6,1,7]=>[1,5,6,4,7,3,8,2]=>0000111 [[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[8,5,3,2,4,6,1,7]=>[1,4,6,7,5,3,8,2]=>0001011 [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[8,4,3,2,5,6,1,7]=>[1,5,6,7,4,3,8,2]=>0010011 [[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[8,3,4,2,5,6,1,7]=>[1,6,5,7,4,3,8,2]=>0010111 [[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[8,3,2,4,5,6,1,7]=>[1,6,7,5,4,3,8,2]=>0011011 [[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[8,2,3,4,5,6,1,7]=>[1,7,6,5,4,3,8,2]=>0011111 [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[1,3,4,5,6,8,7,2]=>0000011 [[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[8,5,4,6,3,1,2,7]=>[1,4,5,3,6,8,7,2]=>0001011 [[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[8,4,5,6,3,1,2,7]=>[1,5,4,3,6,8,7,2]=>0011011 [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[1,4,3,6,5,8,7,2]=>0010111 [[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[8,6,3,4,5,1,2,7]=>[1,3,6,5,4,8,7,2]=>0001111 [[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[8,5,4,3,6,1,2,7]=>[1,4,5,6,3,8,7,2]=>0000111 [[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[8,5,3,4,6,1,2,7]=>[1,4,6,5,3,8,7,2]=>0001111 [[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[1,5,6,4,3,8,7,2]=>0010111 [[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[1,6,5,4,3,8,7,2]=>0011111 [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[1,3,4,5,7,8,6,2]=>0000101 [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[1,4,3,5,7,8,6,2]=>0010101 [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,2,1,3,7]=>[1,3,5,4,7,8,6,2]=>0001101 [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,2,1,3,7]=>[1,4,5,3,7,8,6,2]=>0001101 [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,1,2,3,7]=>[1,3,4,5,8,7,6,2]=>0000111 [[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[1,4,3,5,8,7,6,2]=>0010111 [[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,1,2,3,7]=>[1,3,5,4,8,7,6,2]=>0001111 [[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,1,2,3,7]=>[1,4,5,3,8,7,6,2]=>0001111 [[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[1,5,4,3,8,7,6,2]=>0011111 [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[1,3,4,6,7,8,5,2]=>0001001 [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[1,4,3,6,7,8,5,2]=>0011001 [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[1,3,4,7,6,8,5,2]=>0001011 [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[1,4,3,7,6,8,5,2]=>0011011 [[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[1,4,3,6,8,7,5,2]=>0011011 [[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[1,4,3,7,8,6,5,2]=>0011101 [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>0001111 [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[1,4,3,8,7,6,5,2]=>0011111 [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>0010001 [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[1,3,6,5,7,8,4,2]=>0010101 [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[1,3,5,7,6,8,4,2]=>0010011 [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[1,3,6,7,5,8,4,2]=>0010011 [[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[8,6,4,3,1,2,5,7]=>[1,3,5,6,8,7,4,2]=>0010011 [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>0010101 [[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>0010111 [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>0011001 [[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[8,6,3,1,2,4,5,7]=>[1,3,6,8,7,5,4,2]=>0011011 [[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[8,6,2,1,3,4,5,7]=>[1,3,7,8,6,5,4,2]=>0011101 [[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[8,6,1,2,3,4,5,7]=>[1,3,8,7,6,5,4,2]=>0011111 [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[8,5,4,3,2,1,6,7]=>[1,4,5,6,7,8,3,2]=>0100001 [[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[1,5,4,6,7,8,3,2]=>0101001 [[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[1,5,6,4,7,8,3,2]=>0100101 [[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[1,6,5,4,7,8,3,2]=>0101101 [[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[8,5,3,2,4,1,6,7]=>[1,4,6,7,5,8,3,2]=>0100011 [[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[1,4,7,6,5,8,3,2]=>0100111 [[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[8,2,3,4,5,1,6,7]=>[1,7,6,5,4,8,3,2]=>0101111 [[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[8,4,5,3,1,2,6,7]=>[1,5,4,6,8,7,3,2]=>0101011 [[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[1,4,6,5,8,7,3,2]=>0100111 [[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[8,3,4,5,1,2,6,7]=>[1,6,5,4,8,7,3,2]=>0101111 [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[1,4,5,7,8,6,3,2]=>0100101 [[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[8,4,5,2,1,3,6,7]=>[1,5,4,7,8,6,3,2]=>0101101 [[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[8,5,4,1,2,3,6,7]=>[1,4,5,8,7,6,3,2]=>0100111 [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>0101001 [[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[1,4,6,8,7,5,3,2]=>0101011 [[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[8,5,2,1,3,4,6,7]=>[1,4,7,8,6,5,3,2]=>0101101 [[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>0101111 [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>0110001 [[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[8,3,4,2,1,5,6,7]=>[1,6,5,7,8,4,3,2]=>0110101 [[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[8,4,2,3,1,5,6,7]=>[1,5,7,6,8,4,3,2]=>0110011 [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[8,3,2,4,1,5,6,7]=>[1,6,7,5,8,4,3,2]=>0110011 [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[1,7,6,5,8,4,3,2]=>0110111 [[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[1,6,5,8,7,4,3,2]=>0110111 [[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[8,4,1,2,3,5,6,7]=>[1,5,8,7,6,4,3,2]=>0110111 [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>0111001 [[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[1,7,6,8,5,4,3,2]=>0111011 [[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>0111011 [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>0111101 [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>0111111 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>0000001 [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[3,2,4,5,6,7,8,1]=>0100001 [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[2,4,3,5,6,7,8,1]=>0010001 [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[3,4,2,5,6,7,8,1]=>0010001 [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[4,3,2,5,6,7,8,1]=>0110001 [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[2,3,5,4,6,7,8,1]=>0001001 [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[6,7,4,5,3,2,1,8]=>[3,2,5,4,6,7,8,1]=>0101001 [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[7,5,4,6,3,2,1,8]=>[2,4,5,3,6,7,8,1]=>0001001 [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[2,5,4,3,6,7,8,1]=>0011001 [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[3,4,5,2,6,7,8,1]=>0001001 [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[4,3,5,2,6,7,8,1]=>0011001 [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[6,4,5,7,3,2,1,8]=>[3,5,4,2,6,7,8,1]=>0011001 [[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[4,5,3,2,6,7,8,1]=>0101001 [[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[5,4,3,2,6,7,8,1]=>0111001 [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[2,3,4,6,5,7,8,1]=>0000101 [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[2,4,3,6,5,7,8,1]=>0010101 [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[6,5,7,3,4,2,1,8]=>[3,4,2,6,5,7,8,1]=>0010101 [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[4,3,2,6,5,7,8,1]=>0110101 [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>0000101 [[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[6,7,4,3,5,2,1,8]=>[3,2,5,6,4,7,8,1]=>0100101 [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>0001101 [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[7,5,4,3,6,2,1,8]=>[2,4,5,6,3,7,8,1]=>0000101 [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[2,5,4,6,3,7,8,1]=>0001101 [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[7,5,3,4,6,2,1,8]=>[2,4,6,5,3,7,8,1]=>0001101 [[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[7,4,3,5,6,2,1,8]=>[2,5,6,4,3,7,8,1]=>0010101 [[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[2,6,5,4,3,7,8,1]=>0011101 [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[3,4,5,6,2,7,8,1]=>0000101 [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[4,3,5,6,2,7,8,1]=>0010101 [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[6,4,5,3,7,2,1,8]=>[3,5,4,6,2,7,8,1]=>0001101 [[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>[4,5,6,3,7,2,1,8]=>[5,4,3,6,2,7,8,1]=>0011101 [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[6,5,3,4,7,2,1,8]=>[3,4,6,5,2,7,8,1]=>0001101 [[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[6,4,3,5,7,2,1,8]=>[3,5,6,4,2,7,8,1]=>0010101 [[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>[6,3,4,5,7,2,1,8]=>[3,6,5,4,2,7,8,1]=>0011101 [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[4,5,6,3,2,7,8,1]=>0100101 [[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>[4,5,3,6,7,2,1,8]=>[5,4,6,3,2,7,8,1]=>0101101 [[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[6,5,4,3,2,7,8,1]=>0111101 [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,2,3,1,8]=>[2,3,4,5,7,6,8,1]=>0000011 [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>[3,2,4,5,7,6,8,1]=>0100011 [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>0010011 [[.,[[.,.],[.,[[.,[.,.]],.]]]],.]=>[6,5,7,4,2,3,1,8]=>[3,4,2,5,7,6,8,1]=>0010011 [[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[4,3,2,5,7,6,8,1]=>0110011 [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[2,3,5,4,7,6,8,1]=>0001011 [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[3,2,5,4,7,6,8,1]=>0101011 [[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[2,5,4,3,7,6,8,1]=>0011011 [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[3,4,5,2,7,6,8,1]=>0001011 [[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[4,3,5,2,7,6,8,1]=>0011011 [[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>[6,4,5,7,2,3,1,8]=>[3,5,4,2,7,6,8,1]=>0011011 [[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[5,4,3,2,7,6,8,1]=>0111011 [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[7,6,5,3,2,4,1,8]=>[2,3,4,6,7,5,8,1]=>0000011 [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[7,5,6,3,2,4,1,8]=>[2,4,3,6,7,5,8,1]=>0010011 [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[3,4,2,6,7,5,8,1]=>0010011 [[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[4,3,2,6,7,5,8,1]=>0110011 [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[2,3,4,7,6,5,8,1]=>0000111 [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[3,2,4,7,6,5,8,1]=>0100111 [[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[2,4,3,7,6,5,8,1]=>0010111 [[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[3,4,2,7,6,5,8,1]=>0010111 [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[4,3,2,7,6,5,8,1]=>0110111 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[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[4,5,3,6,8,7,2,1]=>1001011 [[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[4,5,6,3,1,2,7,8]=>[5,4,3,6,8,7,2,1]=>1011011 [[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>1010111 [[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[6,3,4,5,1,2,7,8]=>[3,6,5,4,8,7,2,1]=>1001111 [[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[4,5,6,3,8,7,2,1]=>1000111 [[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[4,3,5,6,1,2,7,8]=>[5,6,4,3,8,7,2,1]=>1010111 [[[[.,.],[[[[.,.],.],.],.]],.],.]=>[3,4,5,6,1,2,7,8]=>[6,5,4,3,8,7,2,1]=>1011111 [[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[6,5,4,2,1,3,7,8]=>[3,4,5,7,8,6,2,1]=>1000101 [[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[4,3,5,7,8,6,2,1]=>1010101 [[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[6,4,5,2,1,3,7,8]=>[3,5,4,7,8,6,2,1]=>1001101 [[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>1001101 [[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[4,5,6,2,1,3,7,8]=>[5,4,3,7,8,6,2,1]=>1011101 [[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[6,5,4,1,2,3,7,8]=>[3,4,5,8,7,6,2,1]=>1000111 [[[[[.,.],.],[[[.,.],.],.]],.],.]=>[4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>1011111 [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>1001001 [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[4,3,6,7,8,5,2,1]=>1011001 [[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>1001111 [[[[[[.,.],.],.],[[.,.],.]],.],.]=>[5,6,1,2,3,4,7,8]=>[4,3,8,7,6,5,2,1]=>1011111 [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>1010001 [[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[6,4,2,3,1,5,7,8]=>[3,5,7,6,8,4,2,1]=>1010011 [[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[6,3,2,4,1,5,7,8]=>[3,6,7,5,8,4,2,1]=>1010011 [[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[6,2,3,4,1,5,7,8]=>[3,7,6,5,8,4,2,1]=>1010111 [[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>1010011 [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[3,5,7,8,6,4,2,1]=>1010101 [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[6,4,1,2,3,5,7,8]=>[3,5,8,7,6,4,2,1]=>1010111 [[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[6,2,3,1,4,5,7,8]=>[3,7,6,8,5,4,2,1]=>1011011 [[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[6,3,1,2,4,5,7,8]=>[3,6,8,7,5,4,2,1]=>1011011 [[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[6,2,1,3,4,5,7,8]=>[3,7,8,6,5,4,2,1]=>1011101 [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>[3,8,7,6,5,4,2,1]=>1011111 [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>1100001 [[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[5,4,6,7,8,3,2,1]=>1101001 [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[4,6,5,7,8,3,2,1]=>1100101 [[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,6,4,7,8,3,2,1]=>1100101 [[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[6,5,4,7,8,3,2,1]=>1101101 [[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[4,5,7,6,8,3,2,1]=>1100011 [[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[5,4,7,6,8,3,2,1]=>1101011 [[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>1100011 [[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>1100111 [[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,6,7,4,8,3,2,1]=>1100011 [[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[6,5,7,4,8,3,2,1]=>1100111 [[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[5,7,6,4,8,3,2,1]=>1100111 [[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[6,7,5,4,8,3,2,1]=>1101011 [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[7,6,5,4,8,3,2,1]=>1101111 [[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>1100011 [[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[4,6,5,8,7,3,2,1]=>1100111 [[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[4,3,5,1,2,6,7,8]=>[5,6,4,8,7,3,2,1]=>1100111 [[[[[.,.],[[[.,.],.],.]],.],.],.]=>[3,4,5,1,2,6,7,8]=>[6,5,4,8,7,3,2,1]=>1101111 [[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>1100101 [[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[4,5,2,1,3,6,7,8]=>[5,4,7,8,6,3,2,1]=>1101101 [[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>1100111 [[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>1101001 [[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[4,7,6,8,5,3,2,1]=>1101011 [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>1101011 [[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>1101101 [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>1101111 [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>1110001 [[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[6,5,7,8,4,3,2,1]=>1110101 [[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>1110011 [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[6,7,5,8,4,3,2,1]=>1110011 [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[7,6,5,8,4,3,2,1]=>1110111 [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>1110011 [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>1110111 [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>1110101 [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>1110111 [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>1111001 [[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[7,6,8,5,4,3,2,1]=>1111011 [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>1111011 [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>1111101 [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>1111111 [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>00000000 [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9]=>10000000 [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9]=>11000000 [.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>[6,7,8,9,5,4,3,2,1]=>[4,3,2,1,5,6,7,8,9]=>11100000 [.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>[5,6,7,8,9,4,3,2,1]=>[5,4,3,2,1,6,7,8,9]=>11110000 [.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,3,2,1]=>[6,5,4,3,2,1,7,8,9]=>11111000 [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[7,6,5,4,3,2,1,8,9]=>11111100 [.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[8,7,6,5,4,3,2,1,9]=>11111110 [[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>11111111 [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>000000000 [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[9,7,8,6,5,4,3,2,1]=>[1,3,2,4,5,6,7,8,9]=>01000000 [.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]=>[8,9,10,7,6,5,4,3,2,1]=>[3,2,1,4,5,6,7,8,9,10]=>110000000 [.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]=>[8,9,6,7,5,4,3,2,1]=>[2,1,4,3,5,6,7,8,9]=>10100000 [.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]=>[7,8,9,10,6,5,4,3,2,1]=>[4,3,2,1,5,6,7,8,9,10]=>111000000 [.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]]=>[7,8,9,5,6,4,3,2,1]=>[3,2,1,5,4,6,7,8,9]=>11010000 [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[5,4,3,2,1,6,7,8,9,10]=>111100000 [.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]]=>[6,7,8,9,4,5,3,2,1]=>[4,3,2,1,6,5,7,8,9]=>11101000 [.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]=>[5,6,7,8,9,10,4,3,2,1]=>[6,5,4,3,2,1,7,8,9,10]=>111110000 [.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>[5,6,7,8,9,3,4,2,1]=>[5,4,3,2,1,7,6,8,9]=>11110100 [.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,10,3,2,1]=>[7,6,5,4,3,2,1,8,9,10]=>111111000 [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[4,5,6,7,8,9,2,3,1]=>[6,5,4,3,2,1,8,7,9]=>11111010 [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[8,7,6,5,4,3,2,1,9,10]=>111111100 [[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,1,2]=>[7,6,5,4,3,2,1,9,8]=>11111101 [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[9,8,7,6,5,4,3,2,1,10]=>111111110 [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>111111111 [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9]=>01000000 [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[2,3,4,1,5,6,7,8,9]=>00100000 [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[2,3,4,5,1,6,7,8,9]=>00010000 [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[2,3,4,5,6,1,7,8,9]=>00001000 [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[2,3,4,5,6,7,1,8,9]=>00000100 [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[2,3,4,5,6,7,8,1,9]=>00000010 [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,9,1]=>00000001 [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9,10]=>010000000 [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>[8,6,7,9,5,4,3,2,1]=>[2,4,3,1,5,6,7,8,9]=>01100000 [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[2,3,4,1,5,6,7,8,9,10]=>001000000 [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>[8,7,5,6,9,4,3,2,1]=>[2,3,5,4,1,6,7,8,9]=>00110000 [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[2,3,4,5,1,6,7,8,9,10]=>000100000 [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>[8,7,6,4,5,9,3,2,1]=>[2,3,4,6,5,1,7,8,9]=>00011000 [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[2,3,4,5,6,1,7,8,9,10]=>000010000 [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>[8,7,6,5,3,4,9,2,1]=>[2,3,4,5,7,6,1,8,9]=>00001100 [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[2,3,4,5,6,7,1,8,9,10]=>000001000 [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>[8,7,6,5,4,2,3,9,1]=>[2,3,4,5,6,8,7,1,9]=>00000110 [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[2,3,4,5,6,7,8,1,9,10]=>000000100 [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[8,7,6,5,4,3,1,2,9]=>[2,3,4,5,6,7,9,8,1]=>00000011 [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[2,3,4,5,6,7,8,9,1,10]=>000000010 [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,10,1]=>000000001 [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]=>101010101 [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]=>[8,9,7,10,5,6,3,4,1,2]=>[3,2,4,1,6,5,8,7,10,9]=>011010101 [[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]=>[9,10,6,7,5,8,3,4,1,2]=>[2,1,5,4,6,3,8,7,10,9]=>100110101 [[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]=>[8,9,6,7,5,10,3,4,1,2]=>[3,2,5,4,6,1,8,7,10,9]=>010110101 [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]=>[9,10,7,8,4,5,3,6,1,2]=>[2,1,4,3,7,6,8,5,10,9]=>101001101 [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]=>[8,9,7,10,4,5,3,6,1,2]=>[3,2,4,1,7,6,8,5,10,9]=>011001101 [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]=>[9,10,6,7,4,5,3,8,1,2]=>[2,1,5,4,7,6,8,3,10,9]=>100101101 [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]=>[8,9,6,7,4,5,3,10,1,2]=>[3,2,5,4,7,6,8,1,10,9]=>010101101 [[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]=>[6,7,5,8,4,9,3,10,1,2]=>[5,4,6,3,7,2,8,1,10,9]=>000111101 [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]=>[9,10,7,8,5,6,2,3,1,4]=>[2,1,4,3,6,5,9,8,10,7]=>101010011 [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]=>[8,9,7,10,5,6,2,3,1,4]=>[3,2,4,1,6,5,9,8,10,7]=>011010011 [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]=>[9,10,6,7,5,8,2,3,1,4]=>[2,1,5,4,6,3,9,8,10,7]=>100110011 [[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]=>[8,9,6,7,5,10,2,3,1,4]=>[3,2,5,4,6,1,9,8,10,7]=>010110011 [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]=>[9,10,7,8,4,5,2,3,1,6]=>[2,1,4,3,7,6,9,8,10,5]=>101001011 [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]=>[8,9,7,10,4,5,2,3,1,6]=>[3,2,4,1,7,6,9,8,10,5]=>011001011 [[.,[[.,[[.,.],.]],.]],[[.,[[.,.],.]],.]]=>[8,9,7,10,3,4,2,5,1,6]=>[3,2,4,1,8,7,9,6,10,5]=>011000111 [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]=>[9,10,6,7,4,5,2,3,1,8]=>[2,1,5,4,7,6,9,8,10,3]=>100101011 [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]=>[8,9,6,7,4,5,2,3,1,10]=>[3,2,5,4,7,6,9,8,10,1]=>010101011 [[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[6,5,7,4,8,3,9,2,10,1]=>000011111 [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>10101010101 [[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]]=>[10,11,9,12,7,8,5,6,3,4,1,2]=>[3,2,4,1,6,5,8,7,10,9,12,11]=>01101010101 [[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]]=>[11,12,8,9,7,10,5,6,3,4,1,2]=>[2,1,5,4,6,3,8,7,10,9,12,11]=>10011010101 [[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]]=>[10,11,8,9,7,12,5,6,3,4,1,2]=>[3,2,5,4,6,1,8,7,10,9,12,11]=>01011010101 [[.,.],[[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]]=>[11,12,9,10,6,7,5,8,3,4,1,2]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>10100110101 [[.,.],[[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]]=>[10,11,9,12,6,7,5,8,3,4,1,2]=>[3,2,4,1,7,6,8,5,10,9,12,11]=>01100110101 [[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]]=>[11,12,8,9,6,7,5,10,3,4,1,2]=>[2,1,5,4,7,6,8,3,10,9,12,11]=>10010110101 [[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]]=>[10,11,8,9,6,7,5,12,3,4,1,2]=>[3,2,5,4,7,6,8,1,10,9,12,11]=>01010110101 [[.,.],[[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],.]]]]]=>[11,12,9,10,7,8,4,5,3,6,1,2]=>[2,1,4,3,6,5,9,8,10,7,12,11]=>10101001101 [[.,.],[[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],.]]]]=>[10,11,9,12,7,8,4,5,3,6,1,2]=>[3,2,4,1,6,5,9,8,10,7,12,11]=>01101001101 [[.,.],[[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],.]]]]=>[11,12,8,9,7,10,4,5,3,6,1,2]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>10011001101 [[.,.],[[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],.]]]=>[10,11,8,9,7,12,4,5,3,6,1,2]=>[3,2,5,4,6,1,9,8,10,7,12,11]=>01011001101 [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],.]]]]=>[11,12,9,10,6,7,4,5,3,8,1,2]=>[2,1,4,3,7,6,9,8,10,5,12,11]=>10100101101 [[.,.],[[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],.]]]=>[10,11,9,12,6,7,4,5,3,8,1,2]=>[3,2,4,1,7,6,9,8,10,5,12,11]=>01100101101 [[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]]=>[11,12,8,9,6,7,4,5,3,10,1,2]=>[2,1,5,4,7,6,9,8,10,3,12,11]=>10010101101 [[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]]=>[10,11,8,9,6,7,4,5,3,12,1,2]=>[3,2,5,4,7,6,9,8,10,1,12,11]=>01010101101 [[.,[[.,.],.]],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[11,12,9,10,7,8,5,6,2,3,1,4]=>[2,1,4,3,6,5,8,7,11,10,12,9]=>10101010011 [[.,[[.,.],.]],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]=>[10,11,9,12,7,8,5,6,2,3,1,4]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>01101010011 [[.,[[.,.],.]],[[.,.],[[.,[[.,.],.]],[[.,.],.]]]]=>[11,12,8,9,7,10,5,6,2,3,1,4]=>[2,1,5,4,6,3,8,7,11,10,12,9]=>10011010011 [[.,[[.,.],.]],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]=>[10,11,8,9,7,12,5,6,2,3,1,4]=>[3,2,5,4,6,1,8,7,11,10,12,9]=>01011010011 [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,.],[[.,.],.]]]]=>[11,12,9,10,6,7,5,8,2,3,1,4]=>[2,1,4,3,7,6,8,5,11,10,12,9]=>10100110011 [[.,[[.,.],.]],[[.,[[.,.],.]],[[.,[[.,.],.]],.]]]=>[10,11,9,12,6,7,5,8,2,3,1,4]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>01100110011 [[.,[[.,.],.]],[[.,[[.,.],[[.,.],.]]],[[.,.],.]]]=>[11,12,8,9,6,7,5,10,2,3,1,4]=>[2,1,5,4,7,6,8,3,11,10,12,9]=>10010110011 [[.,[[.,.],.]],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]=>[10,11,8,9,6,7,5,12,2,3,1,4]=>[3,2,5,4,7,6,8,1,11,10,12,9]=>01010110011 [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,.],[[.,.],.]]]]=>[11,12,9,10,7,8,4,5,2,3,1,6]=>[2,1,4,3,6,5,9,8,11,10,12,7]=>10101001011 [[.,[[.,.],[[.,.],.]]],[[.,.],[[.,[[.,.],.]],.]]]=>[10,11,9,12,7,8,4,5,2,3,1,6]=>[3,2,4,1,6,5,9,8,11,10,12,7]=>01101001011 [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],.]],[[.,.],.]]]=>[11,12,8,9,7,10,4,5,2,3,1,6]=>[2,1,5,4,6,3,9,8,11,10,12,7]=>10011001011 [[.,[[.,.],[[.,.],.]]],[[.,[[.,.],[[.,.],.]]],.]]=>[10,11,8,9,7,12,4,5,2,3,1,6]=>[3,2,5,4,6,1,9,8,11,10,12,7]=>01011001011 [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],[[.,.],.]]]=>[11,12,9,10,6,7,4,5,2,3,1,8]=>[2,1,4,3,7,6,9,8,11,10,12,5]=>10100101011 [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,[[.,.],.]],.]]=>[10,11,9,12,6,7,4,5,2,3,1,8]=>[3,2,4,1,7,6,9,8,11,10,12,5]=>01100101011 [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],[[.,.],.]]=>[11,12,8,9,6,7,4,5,2,3,1,10]=>[2,1,5,4,7,6,9,8,11,10,12,3]=>10010101011 [[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.]=>[10,11,8,9,6,7,4,5,2,3,1,12]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>01010101011 [[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.]=>[6,7,5,8,4,9,3,10,2,11,1,12]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>00000111111 [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[10,8,6,4,2,1,3,5,7,9]=>[1,3,5,7,9,10,8,6,4,2]=>001010101 [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>01111111 [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>011111111 [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[9,2,1,3,4,5,6,7,8]=>[1,8,9,7,6,5,4,3,2]=>01111101 [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[7,8,6,5,4,3,2,1,9]=>11111010 [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>0111111111 [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[10,2,1,3,4,5,6,7,8,9]=>[1,9,10,8,7,6,5,4,3,2]=>011111101 [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[9,3,1,2,4,5,6,7,8]=>[1,7,9,8,6,5,4,3,2]=>01111011 [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[9,2,3,1,4,5,6,7,8]=>[1,8,7,9,6,5,4,3,2]=>01111011 [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[4,2,3,5,6,7,8,9,1]=>[6,8,7,5,4,3,2,1,9]=>11110110 [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[7,6,8,5,4,3,2,1,9]=>11110110 [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[8,9,7,6,5,4,3,2,1,10]=>111111010 [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[10,9,8,7,6,5,4,3,2,1,11]=>1111111110 [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[8,9,1,2,3,4,5,6,7]=>[2,1,9,8,7,6,5,4,3]=>10111111 [[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[7,8,9,1,2,3,4,5,6]=>[3,2,1,9,8,7,6,5,4]=>11011111 [[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[6,7,8,9,1,2,3,4,5]=>[4,3,2,1,9,8,7,6,5]=>11101111 [[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[5,6,7,8,9,1,2,3,4]=>[5,4,3,2,1,9,8,7,6]=>11110111 [[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,1,2,3]=>[6,5,4,3,2,1,9,8,7]=>11111011 [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,9,8,7,6,5,4,3]=>00111111 [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[9,10,1,2,3,4,5,6,7,8]=>[2,1,10,9,8,7,6,5,4,3]=>101111111 [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[8,7,9,1,2,3,4,5,6]=>[2,3,1,9,8,7,6,5,4]=>01011111 [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[8,9,10,1,2,3,4,5,6,7]=>[3,2,1,10,9,8,7,6,5,4]=>110111111 [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[7,6,8,9,1,2,3,4,5]=>[3,4,2,1,9,8,7,6,5]=>10101111 [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[7,8,9,10,1,2,3,4,5,6]=>[4,3,2,1,10,9,8,7,6,5]=>111011111 [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[6,5,7,8,9,1,2,3,4]=>[4,5,3,2,1,9,8,7,6]=>11010111 [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>111101111 [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[5,4,6,7,8,9,1,2,3]=>[5,6,4,3,2,1,9,8,7]=>11101011 [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[5,6,7,8,9,10,1,2,3,4]=>[6,5,4,3,2,1,10,9,8,7]=>111110111 [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[4,3,5,6,7,8,9,1,2]=>[6,7,5,4,3,2,1,9,8]=>11110101 [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[4,5,6,7,8,9,10,1,2,3]=>[7,6,5,4,3,2,1,10,9,8]=>111111011 [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,10,1,2]=>[8,7,6,5,4,3,2,1,10,9]=>111111101 [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,9,8]=>00000001 [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[3,2,4,5,6,7,8,9,1]=>01000001 [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]=>10000001 [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,10,9]=>000000001 [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>0000000001 [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[3,2,4,5,6,7,8,9,10,1]=>010000001 [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[3,4,2,5,6,7,8,9,1]=>00100001 [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>[8,6,7,5,4,3,2,1,9]=>[2,4,3,5,6,7,8,9,1]=>00100001 [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[8,7,9,6,5,4,3,1,2]=>[2,3,1,4,5,6,7,9,8]=>01000001 [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[9,7,8,6,5,4,3,1,2]=>[1,3,2,4,5,6,7,9,8]=>01000001 [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>100000001 [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[11,10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,11,10]=>0000000001 [.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[5,6,4,7,3,8,2,9,1,10]=>000011110 [[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[10,5,4,6,3,7,2,8,1,9]=>[1,6,7,5,8,4,9,3,10,2]=>000001111 [.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]=>[9,8,10,6,7,4,5,2,3,1]=>[2,3,1,5,4,7,6,9,8,10]=>010101010 [[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]=>[10,8,7,9,5,6,3,4,1,2]=>[1,3,4,2,6,5,8,7,10,9]=>001010101 [[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]]]=>[12,10,9,11,7,8,5,6,3,4,1,2]=>[1,3,4,2,6,5,8,7,10,9,12,11]=>00101010101 [[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]=>[9,7,8,5,6,3,4,1,2,10]=>[2,4,3,6,5,8,7,10,9,1]=>001010111 [.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]]=>[8,9,6,7,4,5,2,3,10,1]=>[3,2,5,4,7,6,9,8,1,10]=>010101110 [[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.]=>[11,9,10,7,8,5,6,3,4,1,2,12]=>[2,4,3,6,5,8,7,10,9,12,11,1]=>00101010111 [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,8,9,7]=>00000001 [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,7,8,9,6]=>00000001 [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,4,3,2,1,5]=>[1,2,3,4,6,7,8,9,5]=>00000001 [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[9,8,7,5,4,3,2,1,6]=>[1,2,3,5,6,7,8,9,4]=>00000001 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[9,8,6,5,4,3,2,1,7]=>[1,2,4,5,6,7,8,9,3]=>00000001 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[9,7,6,5,4,3,2,1,8]=>[1,3,4,5,6,7,8,9,2]=>00000001 [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,9,8,7]=>00000011 [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,2,1,3]=>[1,2,3,4,5,6,7,9,10,8]=>000000001 [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,2,3,1,4]=>[1,2,3,4,5,8,7,9,6]=>00000011 [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,3,2,1,4]=>[1,2,3,4,5,6,8,9,10,7]=>000000001 [[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,3,4,2,1,5]=>[1,2,3,4,7,6,8,9,5]=>00000101 [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[10,9,8,7,6,4,3,2,1,5]=>[1,2,3,4,5,7,8,9,10,6]=>000000001 [[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]]=>[9,8,7,4,5,3,2,1,6]=>[1,2,3,6,5,7,8,9,4]=>00001001 [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[10,9,8,7,5,4,3,2,1,6]=>[1,2,3,4,6,7,8,9,10,5]=>000000001 [[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]]=>[9,8,5,6,4,3,2,1,7]=>[1,2,5,4,6,7,8,9,3]=>00010001 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[10,9,8,6,5,4,3,2,1,7]=>[1,2,3,5,6,7,8,9,10,4]=>000000001 [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>[9,6,7,5,4,3,2,1,8]=>[1,4,3,5,6,7,8,9,2]=>00100001 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[10,9,7,6,5,4,3,2,1,8]=>[1,2,4,5,6,7,8,9,10,3]=>000000001 [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[10,8,7,6,5,4,3,2,1,9]=>[1,3,4,5,6,7,8,9,10,2]=>000000001 [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[3,4,5,6,7,8,9,2,1]=>10000001 [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>11000001 [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>11100001 [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>11110001 [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[7,8,9,6,5,4,3,2,1]=>11111001 [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[8,9,7,6,5,4,3,2,1]=>11111101 [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>100000001 [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>110000001 [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>111000001 [[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.]=>[6,5,4,3,1,2,7,8,9]=>[4,5,6,7,9,8,3,2,1]=>11000011 [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>111100001 [[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.]=>[5,4,3,1,2,6,7,8,9]=>[5,6,7,9,8,4,3,2,1]=>11100011 [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>111110001 [[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>[4,3,1,2,5,6,7,8,9]=>[6,7,9,8,5,4,3,2,1]=>11110011 [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>111111001 [[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[3,1,2,4,5,6,7,8,9]=>[7,9,8,6,5,4,3,2,1]=>11111011 [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[9,10,8,7,6,5,4,3,2,1]=>111111101 [.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]=>[9,8,6,7,5,4,3,2,1]=>[1,2,4,3,5,6,7,8,9]=>00100000 [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]=>[9,8,7,5,6,4,3,2,1]=>[1,2,3,5,4,6,7,8,9]=>00010000 [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,4,5,3,2,1]=>[1,2,3,4,6,5,7,8,9]=>00001000 [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,3,4,2,1]=>[1,2,3,4,5,7,6,8,9]=>00000100 [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,8,7,9]=>00000010 [.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>[10,8,9,7,6,5,4,3,2,1]=>[1,3,2,4,5,6,7,8,9,10]=>010000000 [.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]=>[10,9,7,8,6,5,4,3,2,1]=>[1,2,4,3,5,6,7,8,9,10]=>001000000 [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]=>000100000 [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>000010000 [.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]=>000001000 [.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,8,7,9,10]=>000000100 [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,9,8,10]=>000000010 [.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>010101010 [[.,[.,.]],[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[10,8,9,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,6,9,10,8]=>010101001 [[.,[.,.]],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[12,10,11,8,9,6,7,4,5,2,1,3]=>[1,3,2,5,4,7,6,9,8,11,12,10]=>01010101001 [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>01111110 [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[10,11,9,8,7,6,5,4,3,2,1]=>1111111101 [[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[8,2,1,3,4,5,6,7,9]=>[2,8,9,7,6,5,4,3,1]=>01111101 [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>[8,9,2,1,3,4,5,6,7]=>[2,1,8,9,7,6,5,4,3]=>10111101 [.,[[[[[[[.,.],.],.],.],.],[.,.]],.]]=>[8,2,3,4,5,6,7,9,1]=>[2,8,7,6,5,4,3,1,9]=>01111110 [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[8,9,2,3,4,5,6,7,1]=>[2,1,8,7,6,5,4,3,9]=>10111110 [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>011111110 [[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.],.]=>[7,5,4,3,2,1,6,8,9]=>[3,5,6,7,8,9,4,2,1]=>10100001 [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[8,6,5,4,3,2,1,7,9]=>[2,4,5,6,7,8,9,3,1]=>01000001 [.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]=>[7,8,6,9,5,4,3,2,1]=>[3,2,4,1,5,6,7,8,9]=>01100000 [.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]]=>[6,7,8,5,9,4,3,2,1]=>[4,3,2,5,1,6,7,8,9]=>01110000 [.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]]=>[5,6,7,8,4,9,3,2,1]=>[5,4,3,2,6,1,7,8,9]=>01111000 [.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]]=>[4,5,6,7,8,3,9,2,1]=>[6,5,4,3,2,7,1,8,9]=>01111100 [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,2,9,1]=>[7,6,5,4,3,2,8,1,9]=>01111110 [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[8,7,6,5,4,3,2,9,1]=>01111111 [[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[8,7,9,6,5,4,3,2,1]=>11111011 [[[[[.,[[[[.,.],.],.],.]],.],.],.],.]=>[2,3,4,5,1,6,7,8,9]=>[8,7,6,5,9,4,3,2,1]=>11101111 [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[8,7,6,5,4,3,9,2,1]=>10111111 [[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]=>[4,2,3,1,5,6,7,8,9]=>[6,8,7,9,5,4,3,2,1]=>11110011 [[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]=>[5,2,3,4,1,6,7,8,9]=>[5,8,7,6,9,4,3,2,1]=>11100111 [[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]=>[6,2,3,4,5,1,7,8,9]=>[4,8,7,6,5,9,3,2,1]=>11001111 [[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]=>[7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>10011111 [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>00111111 [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[9,8,7,6,5,4,3,2,10,1]=>011111111 [[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>[4,1,2,3,5,6,7,8,9]=>[6,9,8,7,5,4,3,2,1]=>11110111 [[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[5,1,2,3,4,6,7,8,9]=>[5,9,8,7,6,4,3,2,1]=>11101111 [[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[6,1,2,3,4,5,7,8,9]=>[4,9,8,7,6,5,3,2,1]=>11011111 [[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[7,1,2,3,4,5,6,8,9]=>[3,9,8,7,6,5,4,2,1]=>10111111 [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[8,1,2,3,4,5,6,7,9]=>[2,9,8,7,6,5,4,3,1]=>01111111 [[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[3,1,2,4,5,6,7,8,9,10]=>[8,10,9,7,6,5,4,3,2,1]=>111111011 [[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>[4,1,2,3,5,6,7,8,9,10]=>[7,10,9,8,6,5,4,3,2,1]=>111110111 [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[5,1,2,3,4,6,7,8,9,10]=>[6,10,9,8,7,5,4,3,2,1]=>111101111 [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[6,1,2,3,4,5,7,8,9,10]=>[5,10,9,8,7,6,4,3,2,1]=>111011111 [[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>[7,1,2,3,4,5,6,8,9,10]=>[4,10,9,8,7,6,5,3,2,1]=>110111111 [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[8,1,2,3,4,5,6,7,9,10]=>[3,10,9,8,7,6,5,4,2,1]=>101111111 [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[9,1,2,3,4,5,6,7,8,10]=>[2,10,9,8,7,6,5,4,3,1]=>011111111 [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[9,3,4,5,6,7,8,1,2]=>[1,7,6,5,4,3,2,9,8]=>01111101 [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>00000010 [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[9,7,6,5,4,3,1,2,8]=>[1,3,4,5,6,7,9,8,2]=>00000011 [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>[8,9,6,5,4,3,2,1,7]=>[2,1,4,5,6,7,8,9,3]=>10000001 [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>1111111111 [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,10,9,8]=>000000011 [[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,3,1,2,4]=>[1,2,3,4,5,7,9,8,6]=>00000011 [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[8,7,6,5,4,2,1,3,9]=>[2,3,4,5,6,8,9,7,1]=>00000101 [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[9,8,7,6,5,4,3,1,2,10]=>[2,3,4,5,6,7,8,10,9,1]=>000000011 [[[[[[[.,.],[.,.]],[.,.]],.],.],.],.]=>[5,3,1,2,4,6,7,8,9]=>[5,7,9,8,6,4,3,2,1]=>11101011 [.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]]=>[6,2,3,4,5,7,8,9,10,1]=>[5,9,8,7,6,4,3,2,1,10]=>111011110 [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>[10,8,7,6,5,4,3,2,9,1]=>[1,3,4,5,6,7,8,9,2,10]=>000000010 [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,2,1,3]=>[6,5,4,3,2,1,8,9,7]=>11111001 [[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[3,4,5,6,7,8,1,2,9]=>[7,6,5,4,3,2,9,8,1]=>01111111 [[.,[.,.]],[.,[.,[.,[.,[[.,.],.]]]]]]=>[8,9,7,6,5,4,2,1,3]=>[2,1,3,4,5,6,8,9,7]=>10000001 [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,10,9,8,7,6,5,4,3]=>001111111 [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>[6,7,8,5,4,3,2,1,9]=>[4,3,2,5,6,7,8,9,1]=>01100001 [[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]=>[7,8,9,6,5,4,3,2,1,10]=>[4,3,2,5,6,7,8,9,10,1]=>011000001 [.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]=>[10,9,8,7,6,5,4,3,2,11,1]=>[2,3,4,5,6,7,8,9,10,1,11]=>0000000010 [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,9,8,7,6,5,4]=>00011111 [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5]=>00001111 [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,9,8,7,6]=>00000111 [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[9,7,1,2,3,4,5,6,8]=>[1,3,9,8,7,6,5,4,2]=>00111111 [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,10,9,8,7,6,5,4]=>000111111 [[[[[[.,.],.],.],.],[.,.]],[.,[.,.]]]=>[9,8,6,1,2,3,4,5,7]=>[1,2,4,9,8,7,6,5,3]=>00011111 [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,10,9,8,7,6,5]=>000011111 [[[[[.,.],.],.],[.,.]],[.,[.,[.,.]]]]=>[9,8,7,5,1,2,3,4,6]=>[1,2,3,5,9,8,7,6,4]=>00001111 [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,10,9,8,7,6]=>000001111 [[[[.,.],.],[.,.]],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,4,1,2,3,5]=>[1,2,3,4,6,9,8,7,5]=>00000111 [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,10,9,8,7]=>000000111 [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>[10,8,1,2,3,4,5,6,7,9]=>[1,3,10,9,8,7,6,5,4,2]=>001111111 [.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]=>[10,9,11,8,7,6,5,4,3,2,1]=>[2,3,1,4,5,6,7,8,9,10,11]=>0100000000 [.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[8,9,7,6,5,4,2,3,1]=>[2,1,3,4,5,6,8,7,9]=>10000010 [.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]=>[10,11,9,8,7,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8,9,10,11]=>1000000000 [.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>[7,8,6,5,4,3,2,9,1]=>[3,2,4,5,6,7,8,1,9]=>01000010 [[[[[[.,[.,[[.,.],.]]],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9]=>[7,6,8,9,5,4,3,2,1]=>11110101 [.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]=>[5,4,6,7,8,9,3,2,1]=>[5,6,4,3,2,1,7,8,9]=>11101000 [.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]]=>[6,5,7,8,9,4,3,2,1]=>[4,5,3,2,1,6,7,8,9]=>11010000 [[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>[7,6,5,4,3,2,8,1,9]=>[3,4,5,6,7,8,2,9,1]=>00000011 [.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]]=>[7,6,5,4,3,8,9,2,1]=>[3,4,5,6,7,2,1,8,9]=>10000100 [[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.]=>[4,5,3,2,1,6,7,8,9]=>[6,5,7,8,9,4,3,2,1]=>11101001 [[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]]=>[9,4,3,2,1,5,6,7,8]=>[1,6,7,8,9,5,4,3,2]=>01110001 [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>[8,7,1,2,3,4,5,6,9]=>[2,3,9,8,7,6,5,4,1]=>00111111 [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[7,8,6,5,4,3,2,9,1]=>01111011 [[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>[8,7,5,4,3,2,1,6,9]=>[2,3,5,6,7,8,9,4,1]=>00100001 [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]=>[9,7,6,5,4,3,2,1,8,10]=>[2,4,5,6,7,8,9,10,3,1]=>010000001 [.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]=>[9,6,7,8,5,4,3,2,1]=>[1,4,3,2,5,6,7,8,9]=>01100000 [[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[8,7,6,5,4,3,9,1,2]=>[2,3,4,5,6,7,1,9,8]=>00000101 [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[8,7,6,5,4,2,3,1,9]=>[2,3,4,5,6,8,7,9,1]=>00000011 [[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[3,4,1,2,5,6,7,8,9]=>[7,6,9,8,5,4,3,2,1]=>11110111 [.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,9,2,10,1]=>[8,7,6,5,4,3,2,9,1,10]=>011111110 [.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]]=>[4,5,6,7,8,9,10,2,3,1]=>[7,6,5,4,3,2,1,9,8,10]=>111111010 [[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>[10,11,1,2,3,4,5,6,7,8,9]=>[2,1,11,10,9,8,7,6,5,4,3]=>1011111111 [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[8,7,6,5,4,1,2,3,9]=>[2,3,4,5,6,9,8,7,1]=>00000111 [[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]=>[3,4,5,6,7,8,2,1,9]=>[7,6,5,4,3,2,8,9,1]=>01111101 [[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>[10,3,1,2,4,5,6,7,8,9]=>[1,8,10,9,7,6,5,4,3,2]=>011111011 [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[10,8,7,6,5,4,3,1,2,9]=>[1,3,4,5,6,7,8,10,9,2]=>000000011 [[[.,.],.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[8,7,6,5,4,9,1,2,3]=>[2,3,4,5,6,1,9,8,7]=>00001011 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>[9,10,7,6,5,4,3,2,1,8]=>[2,1,4,5,6,7,8,9,10,3]=>100000001 [.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]=>[7,6,8,9,5,4,3,2,1]=>[3,4,2,1,5,6,7,8,9]=>10100000 [.,[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]]=>[9,7,8,5,6,4,3,2,1]=>[1,3,2,5,4,6,7,8,9]=>01010000 [.,[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]]=>[7,6,8,5,9,4,3,2,1]=>[3,4,2,5,1,6,7,8,9]=>00110000 [.,[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]]=>[8,9,6,5,7,4,3,2,1]=>[2,1,4,5,3,6,7,8,9]=>10010000
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
descent tops
Description
The descent tops of a permutation as a binary word.
Since 1 is never a descent top, it is omitted and the first letter of the word corresponds to the element 2.