Identifier
Mp00014: to 132-avoiding permutationPermutations
Mp00088: Permutations Kreweras complementPermutations
Mp00109: Permutations descent wordBinary words
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=> [.,[.,.]]=>[2,1]=>[1,2]=>0 [[.,.],.]=>[1,2]=>[2,1]=>1 [.,[.,[.,.]]]=>[3,2,1]=>[1,3,2]=>01 [.,[[.,.],.]]=>[2,3,1]=>[1,2,3]=>00 [[.,.],[.,.]]=>[3,1,2]=>[3,1,2]=>10 [[.,[.,.]],.]=>[2,1,3]=>[3,2,1]=>11 [[[.,.],.],.]=>[1,2,3]=>[2,3,1]=>01 [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,4,3,2]=>011 [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,4,2,3]=>010 [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[1,3,4,2]=>001 [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,3,2,4]=>010 [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,3,4]=>000 [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[4,1,3,2]=>101 [[.,.],[[.,.],.]]=>[3,4,1,2]=>[4,1,2,3]=>100 [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[4,3,1,2]=>110 [[[.,.],.],[.,.]]=>[4,1,2,3]=>[3,4,1,2]=>010 [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,3,2,1]=>111 [[.,[[.,.],.]],.]=>[2,3,1,4]=>[4,2,3,1]=>101 [[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,4,2,1]=>011 [[[.,[.,.]],.],.]=>[2,1,3,4]=>[3,2,4,1]=>101 [[[[.,.],.],.],.]=>[1,2,3,4]=>[2,3,4,1]=>001 [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,5,4,3,2]=>0111 [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,5,4,2,3]=>0110 [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[1,5,3,4,2]=>0101 [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,5,3,2,4]=>0110 [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,5,2,3,4]=>0100 [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[1,4,5,3,2]=>0011 [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[1,4,5,2,3]=>0010 [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[1,4,3,5,2]=>0101 [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[1,3,4,5,2]=>0001 [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,4,3,2,5]=>0110 [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,4,2,3,5]=>0100 [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[1,3,4,2,5]=>0010 [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,3,2,4,5]=>0100 [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,4,5]=>0000 [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[5,1,4,3,2]=>1011 [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[5,1,4,2,3]=>1010 [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[5,1,3,4,2]=>1001 [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[5,1,3,2,4]=>1010 [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[5,1,2,3,4]=>1000 [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[5,4,1,3,2]=>1101 [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[5,4,1,2,3]=>1100 [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[4,5,1,3,2]=>0101 [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[4,5,1,2,3]=>0100 [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[5,4,3,1,2]=>1110 [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[5,3,4,1,2]=>1010 [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[4,5,3,1,2]=>0110 [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[4,3,5,1,2]=>1010 [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[3,4,5,1,2]=>0010 [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,4,3,2,1]=>1111 [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[5,4,2,3,1]=>1101 [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[5,3,4,2,1]=>1011 [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[5,3,2,4,1]=>1101 [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[5,2,3,4,1]=>1001 [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,5,3,2,1]=>0111 [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[4,5,2,3,1]=>0101 [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[4,3,5,2,1]=>1011 [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[3,4,5,2,1]=>0011 [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[4,3,2,5,1]=>1101 [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[4,2,3,5,1]=>1001 [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,4,2,5,1]=>0101 [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[3,2,4,5,1]=>1001 [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[2,3,4,5,1]=>0001 [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,6,5,4,3,2]=>01111 [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,6,5,4,2,3]=>01110 [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[1,6,5,3,4,2]=>01101 [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[1,6,5,3,2,4]=>01110 [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,6,5,2,3,4]=>01100 [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[1,6,4,5,3,2]=>01011 [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[1,6,4,5,2,3]=>01010 [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[1,6,4,3,5,2]=>01101 [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[1,6,3,4,5,2]=>01001 [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[1,6,4,3,2,5]=>01110 [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,6,4,2,3,5]=>01100 [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[1,6,3,4,2,5]=>01010 [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[1,6,3,2,4,5]=>01100 [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,6,2,3,4,5]=>01000 [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[1,5,6,4,3,2]=>00111 [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[1,5,6,4,2,3]=>00110 [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[1,5,6,3,4,2]=>00101 [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[1,5,6,3,2,4]=>00110 [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[1,5,6,2,3,4]=>00100 [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[1,5,4,6,3,2]=>01011 [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[1,5,4,6,2,3]=>01010 [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[1,4,5,6,3,2]=>00011 [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[1,4,5,6,2,3]=>00010 [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[1,5,4,3,6,2]=>01101 [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[1,5,3,4,6,2]=>01001 [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[1,4,5,3,6,2]=>00101 [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[1,4,3,5,6,2]=>01001 [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[1,3,4,5,6,2]=>00001 [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[1,5,4,3,2,6]=>01110 [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,5,4,2,3,6]=>01100 [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[1,5,3,4,2,6]=>01010 [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[1,5,3,2,4,6]=>01100 [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,5,2,3,4,6]=>01000 [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[1,4,5,3,2,6]=>00110 [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[1,4,5,2,3,6]=>00100 [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[1,4,3,5,2,6]=>01010 [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[1,3,4,5,2,6]=>00010 [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[1,4,3,2,5,6]=>01100 [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,4,2,3,5,6]=>01000 [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[1,3,4,2,5,6]=>00100 [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[1,3,2,4,5,6]=>01000 [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>00000 [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[6,1,5,4,3,2]=>10111 [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[6,1,5,4,2,3]=>10110 [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[6,1,5,3,4,2]=>10101 [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[6,1,5,3,2,4]=>10110 [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[6,1,5,2,3,4]=>10100 [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[6,1,4,5,3,2]=>10011 [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[6,1,4,5,2,3]=>10010 [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[6,1,4,3,5,2]=>10101 [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[6,1,3,4,5,2]=>10001 [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[6,1,4,3,2,5]=>10110 [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[6,1,4,2,3,5]=>10100 [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[6,1,3,4,2,5]=>10010 [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[6,1,3,2,4,5]=>10100 [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[6,1,2,3,4,5]=>10000 [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[6,5,1,4,3,2]=>11011 [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[6,5,1,4,2,3]=>11010 [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[6,5,1,3,4,2]=>11001 [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[6,5,1,3,2,4]=>11010 [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[6,5,1,2,3,4]=>11000 [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[5,6,1,4,3,2]=>01011 [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[5,6,1,4,2,3]=>01010 [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[5,6,1,3,4,2]=>01001 [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[5,6,1,3,2,4]=>01010 [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[5,6,1,2,3,4]=>01000 [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[6,5,4,1,3,2]=>11101 [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[6,5,4,1,2,3]=>11100 [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[6,4,5,1,3,2]=>10101 [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[6,4,5,1,2,3]=>10100 [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[5,6,4,1,3,2]=>01101 [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[5,6,4,1,2,3]=>01100 [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[5,4,6,1,3,2]=>10101 [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[5,4,6,1,2,3]=>10100 [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[4,5,6,1,3,2]=>00101 [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[4,5,6,1,2,3]=>00100 [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[6,5,4,3,1,2]=>11110 [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[6,5,3,4,1,2]=>11010 [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[6,4,5,3,1,2]=>10110 [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[6,4,3,5,1,2]=>11010 [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[6,3,4,5,1,2]=>10010 [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[5,6,4,3,1,2]=>01110 [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[5,6,3,4,1,2]=>01010 [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[5,4,6,3,1,2]=>10110 [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[4,5,6,3,1,2]=>00110 [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[5,4,3,6,1,2]=>11010 [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[5,3,4,6,1,2]=>10010 [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[4,5,3,6,1,2]=>01010 [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[4,3,5,6,1,2]=>10010 [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[3,4,5,6,1,2]=>00010 [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>11111 [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[6,5,4,2,3,1]=>11101 [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[6,5,3,4,2,1]=>11011 [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[6,5,3,2,4,1]=>11101 [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[6,5,2,3,4,1]=>11001 [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[6,4,5,3,2,1]=>10111 [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[6,4,5,2,3,1]=>10101 [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>11011 [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>10011 [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[6,4,3,2,5,1]=>11101 [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[6,4,2,3,5,1]=>11001 [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[6,3,4,2,5,1]=>10101 [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[6,3,2,4,5,1]=>11001 [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[6,2,3,4,5,1]=>10001 [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,6,4,3,2,1]=>01111 [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[5,6,4,2,3,1]=>01101 [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[5,6,3,4,2,1]=>01011 [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[5,6,3,2,4,1]=>01101 [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[5,6,2,3,4,1]=>01001 [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[5,4,6,3,2,1]=>10111 [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[5,4,6,2,3,1]=>10101 [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[4,5,6,3,2,1]=>00111 [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[4,5,6,2,3,1]=>00101 [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[5,4,3,6,2,1]=>11011 [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[5,3,4,6,2,1]=>10011 [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[4,5,3,6,2,1]=>01011 [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[4,3,5,6,2,1]=>10011 [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[3,4,5,6,2,1]=>00011 [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>11101 [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[5,4,2,3,6,1]=>11001 [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[5,3,4,2,6,1]=>10101 [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[5,3,2,4,6,1]=>11001 [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[5,2,3,4,6,1]=>10001 [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,5,3,2,6,1]=>01101 [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[4,5,2,3,6,1]=>01001 [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[4,3,5,2,6,1]=>10101 [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[3,4,5,2,6,1]=>00101 [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>11001 [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[4,2,3,5,6,1]=>10001 [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,4,2,5,6,1]=>01001 [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>10001 [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>00001 [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>011111 [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,2,3]=>011110 [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[1,7,6,5,3,4,2]=>011101 [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[1,7,6,5,3,2,4]=>011110 [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[1,7,6,5,2,3,4]=>011100 [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[1,7,6,4,5,3,2]=>011011 [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[1,7,6,4,5,2,3]=>011010 [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[1,7,6,4,3,5,2]=>011101 [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[1,7,6,3,4,5,2]=>011001 [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[1,7,6,4,3,2,5]=>011110 [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[1,7,6,4,2,3,5]=>011100 [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[1,7,6,3,4,2,5]=>011010 [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[1,7,6,3,2,4,5]=>011100 [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[1,7,6,2,3,4,5]=>011000 [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[1,7,5,6,4,3,2]=>010111 [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[1,7,5,6,4,2,3]=>010110 [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[1,7,5,6,3,4,2]=>010101 [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[1,7,5,6,3,2,4]=>010110 [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[1,7,5,6,2,3,4]=>010100 [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[1,7,5,4,6,3,2]=>011011 [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[1,7,5,4,6,2,3]=>011010 [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[1,7,4,5,6,3,2]=>010011 [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[1,7,4,5,6,2,3]=>010010 [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[1,7,5,4,3,6,2]=>011101 [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[1,7,5,3,4,6,2]=>011001 [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[1,7,4,5,3,6,2]=>010101 [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[1,7,4,3,5,6,2]=>011001 [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[1,7,3,4,5,6,2]=>010001 [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[1,7,5,4,3,2,6]=>011110 [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[1,7,5,4,2,3,6]=>011100 [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[1,7,5,3,4,2,6]=>011010 [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[1,7,5,3,2,4,6]=>011100 [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[1,7,5,2,3,4,6]=>011000 [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[1,7,4,5,3,2,6]=>010110 [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[1,7,4,5,2,3,6]=>010100 [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[1,7,4,3,5,2,6]=>011010 [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[1,7,3,4,5,2,6]=>010010 [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[1,7,4,3,2,5,6]=>011100 [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[1,7,4,2,3,5,6]=>011000 [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[1,7,3,4,2,5,6]=>010100 [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[1,7,3,2,4,5,6]=>011000 [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[1,7,2,3,4,5,6]=>010000 [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[1,6,7,5,4,3,2]=>001111 [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[1,6,7,5,4,2,3]=>001110 [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[1,6,7,5,3,4,2]=>001101 [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[1,6,7,5,3,2,4]=>001110 [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[1,6,7,5,2,3,4]=>001100 [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[1,6,7,4,5,3,2]=>001011 [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[1,6,7,4,5,2,3]=>001010 [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[1,6,7,4,3,5,2]=>001101 [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[1,6,7,3,4,5,2]=>001001 [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[1,6,7,4,3,2,5]=>001110 [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[1,6,7,4,2,3,5]=>001100 [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[1,6,7,3,4,2,5]=>001010 [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[1,6,7,3,2,4,5]=>001100 [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[1,6,7,2,3,4,5]=>001000 [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[1,6,5,7,4,3,2]=>010111 [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[1,6,5,7,4,2,3]=>010110 [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[1,6,5,7,3,4,2]=>010101 [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[1,6,5,7,3,2,4]=>010110 [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[1,6,5,7,2,3,4]=>010100 [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[1,5,6,7,4,3,2]=>000111 [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[1,5,6,7,4,2,3]=>000110 [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[1,5,6,7,3,4,2]=>000101 [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[1,5,6,7,3,2,4]=>000110 [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[1,5,6,7,2,3,4]=>000100 [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[1,6,5,4,7,3,2]=>011011 [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[1,6,5,4,7,2,3]=>011010 [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[1,6,4,5,7,3,2]=>010011 [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[1,6,4,5,7,2,3]=>010010 [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[1,5,6,4,7,3,2]=>001011 [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[1,5,6,4,7,2,3]=>001010 [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[1,5,4,6,7,3,2]=>010011 [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[1,5,4,6,7,2,3]=>010010 [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[1,4,5,6,7,3,2]=>000011 [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[1,4,5,6,7,2,3]=>000010 [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[1,6,5,4,3,7,2]=>011101 [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[1,6,5,3,4,7,2]=>011001 [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[1,6,4,5,3,7,2]=>010101 [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[1,6,4,3,5,7,2]=>011001 [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[1,6,3,4,5,7,2]=>010001 [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[1,5,6,4,3,7,2]=>001101 [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[1,5,6,3,4,7,2]=>001001 [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[1,5,4,6,3,7,2]=>010101 [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[1,4,5,6,3,7,2]=>000101 [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[1,5,4,3,6,7,2]=>011001 [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[1,5,3,4,6,7,2]=>010001 [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[1,4,5,3,6,7,2]=>001001 [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[1,4,3,5,6,7,2]=>010001 [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[1,3,4,5,6,7,2]=>000001 [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[1,6,5,4,3,2,7]=>011110 [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[1,6,5,4,2,3,7]=>011100 [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[1,6,5,3,4,2,7]=>011010 [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[1,6,5,3,2,4,7]=>011100 [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[1,6,5,2,3,4,7]=>011000 [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[1,6,4,5,3,2,7]=>010110 [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[1,6,4,5,2,3,7]=>010100 [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[1,6,4,3,5,2,7]=>011010 [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[1,6,3,4,5,2,7]=>010010 [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[1,6,4,3,2,5,7]=>011100 [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[1,6,4,2,3,5,7]=>011000 [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[1,6,3,4,2,5,7]=>010100 [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[1,6,3,2,4,5,7]=>011000 [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[1,6,2,3,4,5,7]=>010000 [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[1,5,6,4,3,2,7]=>001110 [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[1,5,6,4,2,3,7]=>001100 [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[1,5,6,3,4,2,7]=>001010 [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[1,5,6,3,2,4,7]=>001100 [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[1,5,6,2,3,4,7]=>001000 [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[1,5,4,6,3,2,7]=>010110 [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[1,5,4,6,2,3,7]=>010100 [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[1,4,5,6,3,2,7]=>000110 [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[1,4,5,6,2,3,7]=>000100 [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[1,5,4,3,6,2,7]=>011010 [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[1,5,3,4,6,2,7]=>010010 [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[1,4,5,3,6,2,7]=>001010 [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[1,4,3,5,6,2,7]=>010010 [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[1,3,4,5,6,2,7]=>000010 [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[1,5,4,3,2,6,7]=>011100 [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[1,5,4,2,3,6,7]=>011000 [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[1,5,3,4,2,6,7]=>010100 [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[1,5,3,2,4,6,7]=>011000 [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[1,5,2,3,4,6,7]=>010000 [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[1,4,5,3,2,6,7]=>001100 [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[1,4,5,2,3,6,7]=>001000 [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[1,4,3,5,2,6,7]=>010100 [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[1,3,4,5,2,6,7]=>000100 [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[1,4,3,2,5,6,7]=>011000 [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,4,2,3,5,6,7]=>010000 [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[1,3,4,2,5,6,7]=>001000 [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[1,3,2,4,5,6,7]=>010000 [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>000000 [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[7,1,6,5,4,3,2]=>101111 [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[7,1,6,5,4,2,3]=>101110 [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[7,1,6,5,3,4,2]=>101101 [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[7,1,6,5,3,2,4]=>101110 [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[7,1,6,5,2,3,4]=>101100 [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[7,1,6,4,5,3,2]=>101011 [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[7,1,6,4,5,2,3]=>101010 [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[7,1,6,4,3,5,2]=>101101 [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[7,1,6,3,4,5,2]=>101001 [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[7,1,6,4,3,2,5]=>101110 [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[7,1,6,4,2,3,5]=>101100 [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[7,1,6,3,4,2,5]=>101010 [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[7,1,6,3,2,4,5]=>101100 [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[7,1,6,2,3,4,5]=>101000 [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[7,1,5,6,4,3,2]=>100111 [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[7,1,5,6,4,2,3]=>100110 [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[7,1,5,6,3,4,2]=>100101 [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[7,1,5,6,3,2,4]=>100110 [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[7,1,5,6,2,3,4]=>100100 [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[7,1,5,4,6,3,2]=>101011 [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[7,1,5,4,6,2,3]=>101010 [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[7,1,4,5,6,3,2]=>100011 [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[7,1,4,5,6,2,3]=>100010 [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[7,1,5,4,3,6,2]=>101101 [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[7,1,5,3,4,6,2]=>101001 [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[7,1,4,5,3,6,2]=>100101 [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[7,1,4,3,5,6,2]=>101001 [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[7,1,3,4,5,6,2]=>100001 [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[7,1,5,4,3,2,6]=>101110 [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[7,1,5,4,2,3,6]=>101100 [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[7,1,5,3,4,2,6]=>101010 [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[7,1,5,3,2,4,6]=>101100 [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[7,1,5,2,3,4,6]=>101000 [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[7,1,4,5,3,2,6]=>100110 [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[7,1,4,5,2,3,6]=>100100 [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[7,1,4,3,5,2,6]=>101010 [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[7,1,3,4,5,2,6]=>100010 [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[7,1,4,3,2,5,6]=>101100 [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[7,1,4,2,3,5,6]=>101000 [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[7,1,3,4,2,5,6]=>100100 [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[7,1,3,2,4,5,6]=>101000 [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[7,1,2,3,4,5,6]=>100000 [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[7,6,1,5,4,3,2]=>110111 [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[7,6,1,5,4,2,3]=>110110 [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[7,6,1,5,3,4,2]=>110101 [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[7,6,1,5,3,2,4]=>110110 [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[7,6,1,5,2,3,4]=>110100 [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[7,6,1,4,5,3,2]=>110011 [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[7,6,1,4,5,2,3]=>110010 [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[7,6,1,4,3,5,2]=>110101 [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[7,6,1,3,4,5,2]=>110001 [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[7,6,1,4,3,2,5]=>110110 [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[7,6,1,4,2,3,5]=>110100 [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[7,6,1,3,4,2,5]=>110010 [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[7,6,1,3,2,4,5]=>110100 [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[7,6,1,2,3,4,5]=>110000 [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[6,7,1,5,4,3,2]=>010111 [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[6,7,1,5,4,2,3]=>010110 [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[6,7,1,5,3,4,2]=>010101 [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[6,7,1,5,3,2,4]=>010110 [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[6,7,1,5,2,3,4]=>010100 [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[6,7,1,4,5,3,2]=>010011 [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[6,7,1,4,5,2,3]=>010010 [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[6,7,1,4,3,5,2]=>010101 [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[6,7,1,3,4,5,2]=>010001 [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[6,7,1,4,3,2,5]=>010110 [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[6,7,1,4,2,3,5]=>010100 [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[6,7,1,3,4,2,5]=>010010 [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[6,7,1,3,2,4,5]=>010100 [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[6,7,1,2,3,4,5]=>010000 [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[7,6,5,1,4,3,2]=>111011 [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[7,6,5,1,4,2,3]=>111010 [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[7,6,5,1,3,4,2]=>111001 [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[7,6,5,1,3,2,4]=>111010 [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[7,6,5,1,2,3,4]=>111000 [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[7,5,6,1,4,3,2]=>101011 [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[7,5,6,1,4,2,3]=>101010 [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[7,5,6,1,3,4,2]=>101001 [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[7,5,6,1,3,2,4]=>101010 [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[7,5,6,1,2,3,4]=>101000 [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[6,7,5,1,4,3,2]=>011011 [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[6,7,5,1,4,2,3]=>011010 [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[6,7,5,1,3,4,2]=>011001 [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[6,7,5,1,3,2,4]=>011010 [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[6,7,5,1,2,3,4]=>011000 [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[6,5,7,1,4,3,2]=>101011 [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[6,5,7,1,4,2,3]=>101010 [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[6,5,7,1,3,4,2]=>101001 [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[6,5,7,1,3,2,4]=>101010 [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[6,5,7,1,2,3,4]=>101000 [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[5,6,7,1,4,3,2]=>001011 [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[5,6,7,1,4,2,3]=>001010 [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[5,6,7,1,3,4,2]=>001001 [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[5,6,7,1,3,2,4]=>001010 [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>001000 [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[7,6,5,4,1,3,2]=>111101 [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[7,6,5,4,1,2,3]=>111100 [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[7,6,4,5,1,3,2]=>110101 [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[7,6,4,5,1,2,3]=>110100 [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[7,5,6,4,1,3,2]=>101101 [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[7,5,6,4,1,2,3]=>101100 [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[7,5,4,6,1,3,2]=>110101 [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[7,5,4,6,1,2,3]=>110100 [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[7,4,5,6,1,3,2]=>100101 [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[7,4,5,6,1,2,3]=>100100 [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[6,7,5,4,1,3,2]=>011101 [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[6,7,5,4,1,2,3]=>011100 [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[6,7,4,5,1,3,2]=>010101 [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[6,7,4,5,1,2,3]=>010100 [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[6,5,7,4,1,3,2]=>101101 [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[6,5,7,4,1,2,3]=>101100 [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[5,6,7,4,1,3,2]=>001101 [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[5,6,7,4,1,2,3]=>001100 [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[6,5,4,7,1,3,2]=>110101 [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[6,5,4,7,1,2,3]=>110100 [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[6,4,5,7,1,3,2]=>100101 [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[6,4,5,7,1,2,3]=>100100 [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[5,6,4,7,1,3,2]=>010101 [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[5,6,4,7,1,2,3]=>010100 [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[5,4,6,7,1,3,2]=>100101 [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[5,4,6,7,1,2,3]=>100100 [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[4,5,6,7,1,3,2]=>000101 [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[4,5,6,7,1,2,3]=>000100 [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[7,6,5,4,3,1,2]=>111110 [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[7,6,5,3,4,1,2]=>111010 [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[7,6,4,5,3,1,2]=>110110 [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[7,6,4,3,5,1,2]=>111010 [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[7,6,3,4,5,1,2]=>110010 [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[7,5,6,4,3,1,2]=>101110 [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[7,5,6,3,4,1,2]=>101010 [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[7,5,4,6,3,1,2]=>110110 [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[7,4,5,6,3,1,2]=>100110 [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[7,5,4,3,6,1,2]=>111010 [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[7,5,3,4,6,1,2]=>110010 [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[7,4,5,3,6,1,2]=>101010 [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[7,4,3,5,6,1,2]=>110010 [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[7,3,4,5,6,1,2]=>100010 [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>011110 [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[6,7,5,3,4,1,2]=>011010 [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[6,7,4,5,3,1,2]=>010110 [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[6,7,4,3,5,1,2]=>011010 [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[6,7,3,4,5,1,2]=>010010 [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[6,5,7,4,3,1,2]=>101110 [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[6,5,7,3,4,1,2]=>101010 [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[5,6,7,4,3,1,2]=>001110 [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[5,6,7,3,4,1,2]=>001010 [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[6,5,4,7,3,1,2]=>110110 [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[6,4,5,7,3,1,2]=>100110 [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[5,6,4,7,3,1,2]=>010110 [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[5,4,6,7,3,1,2]=>100110 [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[4,5,6,7,3,1,2]=>000110 [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[6,5,4,3,7,1,2]=>111010 [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[6,5,3,4,7,1,2]=>110010 [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[6,4,5,3,7,1,2]=>101010 [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[6,4,3,5,7,1,2]=>110010 [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[6,3,4,5,7,1,2]=>100010 [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[5,6,4,3,7,1,2]=>011010 [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[5,6,3,4,7,1,2]=>010010 [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[5,4,6,3,7,1,2]=>101010 [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[4,5,6,3,7,1,2]=>001010 [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[5,4,3,6,7,1,2]=>110010 [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[5,3,4,6,7,1,2]=>100010 [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[4,5,3,6,7,1,2]=>010010 [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[4,3,5,6,7,1,2]=>100010 [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[3,4,5,6,7,1,2]=>000010 [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>111111 [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[7,6,5,4,2,3,1]=>111101 [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[7,6,5,3,4,2,1]=>111011 [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[7,6,5,3,2,4,1]=>111101 [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[7,6,5,2,3,4,1]=>111001 [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>110111 [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[7,6,4,5,2,3,1]=>110101 [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[7,6,4,3,5,2,1]=>111011 [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[7,6,3,4,5,2,1]=>110011 [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[7,6,4,3,2,5,1]=>111101 [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[7,6,4,2,3,5,1]=>111001 [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[7,6,3,4,2,5,1]=>110101 [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[7,6,3,2,4,5,1]=>111001 [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[7,6,2,3,4,5,1]=>110001 [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[7,5,6,4,3,2,1]=>101111 [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[7,5,6,4,2,3,1]=>101101 [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[7,5,6,3,4,2,1]=>101011 [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[7,5,6,3,2,4,1]=>101101 [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[7,5,6,2,3,4,1]=>101001 [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[7,5,4,6,3,2,1]=>110111 [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[7,5,4,6,2,3,1]=>110101 [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[7,4,5,6,3,2,1]=>100111 [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[7,4,5,6,2,3,1]=>100101 [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>111011 [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[7,5,3,4,6,2,1]=>110011 [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[7,4,5,3,6,2,1]=>101011 [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>110011 [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>100011 [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[7,5,4,3,2,6,1]=>111101 [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[7,5,4,2,3,6,1]=>111001 [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[7,5,3,4,2,6,1]=>110101 [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[7,5,3,2,4,6,1]=>111001 [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[7,5,2,3,4,6,1]=>110001 [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[7,4,5,3,2,6,1]=>101101 [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[7,4,5,2,3,6,1]=>101001 [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[7,4,3,5,2,6,1]=>110101 [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[7,3,4,5,2,6,1]=>100101 [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[7,4,3,2,5,6,1]=>111001 [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[7,4,2,3,5,6,1]=>110001 [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[7,3,4,2,5,6,1]=>101001 [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[7,3,2,4,5,6,1]=>110001 [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[7,2,3,4,5,6,1]=>100001 [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,7,5,4,3,2,1]=>011111 [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[6,7,5,4,2,3,1]=>011101 [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,7,5,3,4,2,1]=>011011 [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[6,7,5,3,2,4,1]=>011101 [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[6,7,5,2,3,4,1]=>011001 [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,7,4,5,3,2,1]=>010111 [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[6,7,4,5,2,3,1]=>010101 [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,7,4,3,5,2,1]=>011011 [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,7,3,4,5,2,1]=>010011 [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[6,7,4,3,2,5,1]=>011101 [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[6,7,4,2,3,5,1]=>011001 [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[6,7,3,4,2,5,1]=>010101 [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[6,7,3,2,4,5,1]=>011001 [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[6,7,2,3,4,5,1]=>010001 [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[6,5,7,4,3,2,1]=>101111 [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[6,5,7,4,2,3,1]=>101101 [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[6,5,7,3,4,2,1]=>101011 [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[6,5,7,3,2,4,1]=>101101 [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[6,5,7,2,3,4,1]=>101001 [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[5,6,7,4,3,2,1]=>001111 [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[5,6,7,4,2,3,1]=>001101 [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[5,6,7,3,4,2,1]=>001011 [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[5,6,7,3,2,4,1]=>001101 [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[5,6,7,2,3,4,1]=>001001 [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[6,5,4,7,3,2,1]=>110111 [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[6,5,4,7,2,3,1]=>110101 [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[6,4,5,7,3,2,1]=>100111 [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[6,4,5,7,2,3,1]=>100101 [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[5,6,4,7,3,2,1]=>010111 [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[5,6,4,7,2,3,1]=>010101 [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[5,4,6,7,3,2,1]=>100111 [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[5,4,6,7,2,3,1]=>100101 [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[4,5,6,7,3,2,1]=>000111 [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[4,5,6,7,2,3,1]=>000101 [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[6,5,4,3,7,2,1]=>111011 [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[6,5,3,4,7,2,1]=>110011 [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[6,4,5,3,7,2,1]=>101011 [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[6,4,3,5,7,2,1]=>110011 [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[6,3,4,5,7,2,1]=>100011 [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[5,6,4,3,7,2,1]=>011011 [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[5,6,3,4,7,2,1]=>010011 [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[5,4,6,3,7,2,1]=>101011 [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[4,5,6,3,7,2,1]=>001011 [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[5,4,3,6,7,2,1]=>110011 [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[5,3,4,6,7,2,1]=>100011 [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[4,5,3,6,7,2,1]=>010011 [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[4,3,5,6,7,2,1]=>100011 [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[3,4,5,6,7,2,1]=>000011 [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1]=>111101 [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[6,5,4,2,3,7,1]=>111001 [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[6,5,3,4,2,7,1]=>110101 [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[6,5,3,2,4,7,1]=>111001 [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[6,5,2,3,4,7,1]=>110001 [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[6,4,5,3,2,7,1]=>101101 [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[6,4,5,2,3,7,1]=>101001 [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[6,4,3,5,2,7,1]=>110101 [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[6,3,4,5,2,7,1]=>100101 [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[6,4,3,2,5,7,1]=>111001 [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[6,4,2,3,5,7,1]=>110001 [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[6,3,4,2,5,7,1]=>101001 [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[6,3,2,4,5,7,1]=>110001 [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[6,2,3,4,5,7,1]=>100001 [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,6,4,3,2,7,1]=>011101 [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[5,6,4,2,3,7,1]=>011001 [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,6,3,4,2,7,1]=>010101 [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[5,6,3,2,4,7,1]=>011001 [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[5,6,2,3,4,7,1]=>010001 [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[5,4,6,3,2,7,1]=>101101 [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[5,4,6,2,3,7,1]=>101001 [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[4,5,6,3,2,7,1]=>001101 [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,5,6,2,3,7,1]=>001001 [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[5,4,3,6,2,7,1]=>110101 [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[5,3,4,6,2,7,1]=>100101 [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[4,5,3,6,2,7,1]=>010101 [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[4,3,5,6,2,7,1]=>100101 [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[3,4,5,6,2,7,1]=>000101 [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1]=>111001 [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[5,4,2,3,6,7,1]=>110001 [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[5,3,4,2,6,7,1]=>101001 [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[5,3,2,4,6,7,1]=>110001 [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[5,2,3,4,6,7,1]=>100001 [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,5,3,2,6,7,1]=>011001 [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[4,5,2,3,6,7,1]=>010001 [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,3,5,2,6,7,1]=>101001 [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[3,4,5,2,6,7,1]=>001001 [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1]=>110001 [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[4,2,3,5,6,7,1]=>100001 [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,4,2,5,6,7,1]=>010001 [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>100001 [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>000001 [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[1,8,7,6,5,4,3,2]=>0111111 [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[1,8,7,6,5,4,2,3]=>0111110 [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[1,8,7,6,5,3,4,2]=>0111101 [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[1,8,7,6,5,3,2,4]=>0111110 [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[1,8,7,6,5,2,3,4]=>0111100 [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[1,8,7,6,4,5,3,2]=>0111011 [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[1,8,7,6,4,5,2,3]=>0111010 [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[1,8,7,6,4,3,5,2]=>0111101 [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[1,8,7,6,3,4,5,2]=>0111001 [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[1,8,7,6,4,3,2,5]=>0111110 [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[1,8,7,6,4,2,3,5]=>0111100 [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[1,8,7,6,3,4,2,5]=>0111010 [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[1,8,7,6,3,2,4,5]=>0111100 [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[1,8,7,6,2,3,4,5]=>0111000 [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[1,8,7,5,6,4,3,2]=>0110111 [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[7,8,6,4,5,3,2,1]=>[1,8,7,5,6,4,2,3]=>0110110 [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[1,8,7,5,6,3,4,2]=>0110101 [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[6,7,8,4,5,3,2,1]=>[1,8,7,5,6,2,3,4]=>0110100 [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[1,8,7,5,4,6,3,2]=>0111011 [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[7,8,5,4,6,3,2,1]=>[1,8,7,5,4,6,2,3]=>0111010 [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[8,7,4,5,6,3,2,1]=>[1,8,7,4,5,6,3,2]=>0110011 [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[7,8,4,5,6,3,2,1]=>[1,8,7,4,5,6,2,3]=>0110010 [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[1,8,7,5,4,3,6,2]=>0111101 [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[1,8,7,5,3,4,6,2]=>0111001 [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[1,8,7,4,5,3,6,2]=>0110101 [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[8,5,4,6,7,3,2,1]=>[1,8,7,4,3,5,6,2]=>0111001 [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[8,4,5,6,7,3,2,1]=>[1,8,7,3,4,5,6,2]=>0110001 [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[1,8,7,5,4,3,2,6]=>0111110 [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[1,8,7,5,3,4,2,6]=>0111010 [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[1,8,7,5,3,2,4,6]=>0111100 [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[1,8,7,5,2,3,4,6]=>0111000 [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[1,8,7,4,5,3,2,6]=>0110110 [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[1,8,7,4,5,2,3,6]=>0110100 [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[1,8,7,4,3,5,2,6]=>0111010 [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[1,8,7,3,4,5,2,6]=>0110010 [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[1,8,7,4,3,2,5,6]=>0111100 [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[1,8,7,4,2,3,5,6]=>0111000 [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[1,8,7,3,4,2,5,6]=>0110100 [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[1,8,7,3,2,4,5,6]=>0111000 [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[1,8,7,2,3,4,5,6]=>0110000 [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[1,8,6,7,5,4,3,2]=>0101111 [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[1,8,6,7,5,4,2,3]=>0101110 [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,3,4,2,1]=>[1,8,6,7,5,3,4,2]=>0101101 [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[1,8,6,7,5,3,2,4]=>0101110 [.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[6,7,8,5,3,4,2,1]=>[1,8,6,7,5,2,3,4]=>0101100 [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[1,8,6,7,4,5,3,2]=>0101011 [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[1,8,6,7,4,5,2,3]=>0101010 [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[1,8,6,7,3,4,5,2]=>0101001 [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[1,8,6,7,4,2,3,5]=>0101100 [.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[7,5,6,8,3,4,2,1]=>[1,8,6,7,3,4,2,5]=>0101010 [.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[6,5,7,8,3,4,2,1]=>[1,8,6,7,3,2,4,5]=>0101100 [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[1,8,6,7,2,3,4,5]=>0101000 [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[8,6,7,4,3,5,2,1]=>[1,8,6,5,7,3,4,2]=>0110101 [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[1,8,6,5,7,3,2,4]=>0110110 [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[1,8,6,5,7,2,3,4]=>0110100 [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[1,8,5,6,7,4,3,2]=>0100111 [.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[1,8,5,6,7,4,2,3]=>0100110 [.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[1,8,5,6,7,3,4,2]=>0100101 [.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[1,8,5,6,7,3,2,4]=>0100110 [.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[1,8,5,6,7,2,3,4]=>0100100 [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[1,8,6,5,4,7,3,2]=>0111011 [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[8,7,4,5,3,6,2,1]=>[1,8,6,4,5,7,3,2]=>0110011 [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[8,7,5,3,4,6,2,1]=>[1,8,5,6,4,7,3,2]=>0101011 [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[1,8,5,6,4,7,2,3]=>0101010 [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[1,8,5,4,6,7,3,2]=>0110011 [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[7,8,4,3,5,6,2,1]=>[1,8,5,4,6,7,2,3]=>0110010 [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[1,8,4,5,6,7,3,2]=>0100011 [.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[7,8,3,4,5,6,2,1]=>[1,8,4,5,6,7,2,3]=>0100010 [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[8,6,5,4,3,7,2,1]=>[1,8,6,5,4,3,7,2]=>0111101 [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[8,6,4,5,3,7,2,1]=>[1,8,6,4,5,3,7,2]=>0110101 [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[8,5,4,6,3,7,2,1]=>[1,8,6,4,3,5,7,2]=>0111001 [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[8,6,4,3,5,7,2,1]=>[1,8,5,4,6,3,7,2]=>0110101 [.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[8,6,3,4,5,7,2,1]=>[1,8,4,5,6,3,7,2]=>0100101 [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[8,5,4,3,6,7,2,1]=>[1,8,5,4,3,6,7,2]=>0111001 [.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[8,5,3,4,6,7,2,1]=>[1,8,4,5,3,6,7,2]=>0101001 [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[8,4,3,5,6,7,2,1]=>[1,8,4,3,5,6,7,2]=>0110001 [.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[8,3,4,5,6,7,2,1]=>[1,8,3,4,5,6,7,2]=>0100001 [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[1,8,6,5,4,3,2,7]=>0111110 [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[1,8,6,5,4,2,3,7]=>0111100 [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[1,8,6,5,3,2,4,7]=>0111100 [.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[6,7,4,5,3,8,2,1]=>[1,8,6,4,5,2,3,7]=>0110100 [.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[1,8,6,3,4,5,2,7]=>0110010 [.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[1,8,6,4,2,3,5,7]=>0111000 [.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[1,8,6,3,4,2,5,7]=>0110100 [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[1,8,6,3,2,4,5,7]=>0111000 [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[1,8,6,2,3,4,5,7]=>0110000 [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[7,6,5,3,4,8,2,1]=>[1,8,5,6,4,3,2,7]=>0101110 [.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[6,7,5,3,4,8,2,1]=>[1,8,5,6,4,2,3,7]=>0101100 [.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[5,6,7,3,4,8,2,1]=>[1,8,5,6,2,3,4,7]=>0101000 [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[7,6,4,3,5,8,2,1]=>[1,8,5,4,6,3,2,7]=>0110110 [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[1,8,4,5,6,3,2,7]=>0100110 [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[1,8,5,4,3,6,2,7]=>0111010 [.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[7,4,5,3,6,8,2,1]=>[1,8,5,3,4,6,2,7]=>0110010 [.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[1,8,4,5,3,6,2,7]=>0101010 [.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[7,3,4,5,6,8,2,1]=>[1,8,3,4,5,6,2,7]=>0100010 [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[1,8,5,4,3,2,6,7]=>0111100 [.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[5,6,4,3,7,8,2,1]=>[1,8,5,4,2,3,6,7]=>0111000 [.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>[5,4,6,3,7,8,2,1]=>[1,8,5,3,2,4,6,7]=>0111000 [.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[6,5,3,4,7,8,2,1]=>[1,8,4,5,3,2,6,7]=>0101100 [.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[6,3,4,5,7,8,2,1]=>[1,8,3,4,5,2,6,7]=>0100100 [.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[1,8,4,3,2,5,6,7]=>0111000 [.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[1,8,4,2,3,5,6,7]=>0110000 [.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[5,3,4,6,7,8,2,1]=>[1,8,3,4,2,5,6,7]=>0101000 [.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[1,8,3,2,4,5,6,7]=>0110000 [.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[1,8,2,3,4,5,6,7]=>0100000 [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[1,7,8,6,5,4,3,2]=>0011111 [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,2,3,1]=>[1,7,8,6,5,4,2,3]=>0011110 [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[1,7,8,6,5,3,4,2]=>0011101 [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[1,7,8,6,5,3,2,4]=>0011110 [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,2,3,1]=>[1,7,8,6,4,5,3,2]=>0011011 [.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[1,7,8,6,3,4,5,2]=>0011001 [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[1,7,8,6,4,3,2,5]=>0011110 [.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[1,7,8,6,4,2,3,5]=>0011100 [.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[1,7,8,6,3,4,2,5]=>0011010 [.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,2,3,1]=>[1,7,8,6,3,2,4,5]=>0011100 [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[1,7,8,6,2,3,4,5]=>0011000 [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[1,7,8,5,6,4,3,2]=>0010111 [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,2,3,1]=>[1,7,8,5,6,4,2,3]=>0010110 [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[1,7,8,5,6,3,4,2]=>0010101 [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,2,3,1]=>[1,7,8,5,6,3,2,4]=>0010110 [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,2,3,1]=>[1,7,8,5,4,6,3,2]=>0011011 [.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,2,3,1]=>[1,7,8,4,5,6,2,3]=>0010010 [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[1,7,8,5,4,3,6,2]=>0011101 [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[1,7,8,5,3,4,6,2]=>0011001 [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[1,7,8,4,5,3,6,2]=>0010101 [.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[8,4,5,6,7,2,3,1]=>[1,7,8,3,4,5,6,2]=>0010001 [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[1,7,8,5,4,3,2,6]=>0011110 [.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[6,7,5,4,8,2,3,1]=>[1,7,8,5,4,2,3,6]=>0011100 [.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[1,7,8,5,3,4,2,6]=>0011010 [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,2,3,1]=>[1,7,8,4,5,3,2,6]=>0010110 [.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,2,3,1]=>[1,7,8,4,5,2,3,6]=>0010100 [.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,2,3,1]=>[1,7,8,4,3,5,2,6]=>0011010 [.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[7,4,5,6,8,2,3,1]=>[1,7,8,3,4,5,2,6]=>0010010 [.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,2,3,1]=>[1,7,8,4,2,3,5,6]=>0011000 [.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[6,4,5,7,8,2,3,1]=>[1,7,8,3,4,2,5,6]=>0010100 [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[1,7,8,2,3,4,5,6]=>0010000 [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[1,7,6,8,5,4,3,2]=>0101111 [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[1,7,6,8,5,4,2,3]=>0101110 [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,2,4,1]=>[1,7,6,8,4,5,3,2]=>0101011 [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,2,4,1]=>[1,7,6,8,4,5,2,3]=>0101010 [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[1,7,6,8,4,3,5,2]=>0101101 [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[1,7,6,8,3,4,5,2]=>0101001 [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[1,7,6,8,4,3,2,5]=>0101110 [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[1,7,6,8,4,2,3,5]=>0101100 [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,2,4,1]=>[1,7,6,8,3,4,2,5]=>0101010 [.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,2,4,1]=>[1,7,6,8,3,2,4,5]=>0101100 [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[1,7,6,8,2,3,4,5]=>0101000 [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[1,6,7,8,5,4,3,2]=>0001111 [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[1,6,7,8,5,3,4,2]=>0001101 [.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[1,6,7,8,5,2,3,4]=>0001100 [.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[1,6,7,8,4,5,3,2]=>0001011 [.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[1,6,7,8,4,3,5,2]=>0001101 [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[1,6,7,8,3,4,5,2]=>0001001 [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[1,6,7,8,4,3,2,5]=>0001110 [.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[1,6,7,8,4,2,3,5]=>0001100 [.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[1,6,7,8,3,2,4,5]=>0001100 [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[1,6,7,8,2,3,4,5]=>0001000 [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[1,7,6,5,8,4,3,2]=>0110111 [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[7,8,6,4,3,2,5,1]=>[1,7,6,5,8,4,2,3]=>0110110 [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[1,7,6,5,8,3,4,2]=>0110101 [.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[1,7,6,5,8,2,3,4]=>0110100 [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[1,7,5,6,8,4,3,2]=>0100111 [.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[1,7,5,6,8,3,4,2]=>0100101 [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,2,3,5,1]=>[1,6,7,5,8,4,3,2]=>0010111 [.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,2,3,5,1]=>[1,6,7,5,8,4,2,3]=>0010110 [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,2,3,5,1]=>[1,6,7,5,8,3,4,2]=>0010101 [.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[1,6,7,5,8,3,2,4]=>0010110 [.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[1,6,7,5,8,2,3,4]=>0010100 [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[8,7,6,3,2,4,5,1]=>[1,6,5,7,8,4,3,2]=>0100111 [.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[7,8,6,3,2,4,5,1]=>[1,6,5,7,8,4,2,3]=>0100110 [.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[1,6,5,7,8,3,4,2]=>0100101 [.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[1,6,5,7,8,2,3,4]=>0100100 [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[1,5,6,7,8,4,3,2]=>0000111 [.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[1,5,6,7,8,4,2,3]=>0000110 [.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[1,5,6,7,8,3,4,2]=>0000101 [.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[1,5,6,7,8,3,2,4]=>0000110 [.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[1,5,6,7,8,2,3,4]=>0000100 [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[8,7,5,4,3,2,6,1]=>[1,7,6,5,4,8,3,2]=>0111011 [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[7,8,5,4,3,2,6,1]=>[1,7,6,5,4,8,2,3]=>0111010 [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[1,7,5,6,4,8,3,2]=>0101011 [.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[1,7,5,6,4,8,2,3]=>0101010 [.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[1,7,5,4,6,8,2,3]=>0110010 [.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[7,8,3,4,5,2,6,1]=>[1,7,4,5,6,8,2,3]=>0100010 [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,2,3,6,1]=>[1,6,7,5,4,8,2,3]=>0011010 [.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[7,8,5,2,3,4,6,1]=>[1,5,6,7,4,8,2,3]=>0001010 [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[8,7,4,3,2,5,6,1]=>[1,6,5,4,7,8,3,2]=>0110011 [.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[8,7,3,4,2,5,6,1]=>[1,6,4,5,7,8,3,2]=>0100011 [.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[1,5,4,6,7,8,2,3]=>0100010 [.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[8,7,2,3,4,5,6,1]=>[1,4,5,6,7,8,3,2]=>0000011 [.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[7,8,2,3,4,5,6,1]=>[1,4,5,6,7,8,2,3]=>0000010 [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[1,7,6,5,4,3,8,2]=>0111101 [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[8,5,4,6,3,2,7,1]=>[1,7,6,4,3,5,8,2]=>0111001 [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[1,7,5,6,3,4,8,2]=>0101001 [.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[1,7,4,5,6,3,8,2]=>0100101 [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[8,5,4,3,6,2,7,1]=>[1,7,5,4,3,6,8,2]=>0111001 [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[1,7,5,3,4,6,8,2]=>0110001 [.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[8,5,3,4,6,2,7,1]=>[1,7,4,5,3,6,8,2]=>0101001 [.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[8,3,4,5,6,2,7,1]=>[1,7,3,4,5,6,8,2]=>0100001 [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[8,6,5,4,2,3,7,1]=>[1,6,7,5,4,3,8,2]=>0011101 [.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[1,6,7,5,3,4,8,2]=>0011001 [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[8,6,4,5,2,3,7,1]=>[1,6,7,4,5,3,8,2]=>0010101 [.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,2,3,7,1]=>[1,6,7,4,3,5,8,2]=>0011001 [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[8,6,5,3,2,4,7,1]=>[1,6,5,7,4,3,8,2]=>0101101 [.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[8,6,3,4,2,5,7,1]=>[1,6,4,5,7,3,8,2]=>0100101 [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[1,5,6,4,7,3,8,2]=>0010101 [.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[8,6,2,3,4,5,7,1]=>[1,4,5,6,7,3,8,2]=>0000101 [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[8,5,4,3,2,6,7,1]=>[1,6,5,4,3,7,8,2]=>0111001 [.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[8,4,5,3,2,6,7,1]=>[1,6,5,3,4,7,8,2]=>0110001 [.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[8,4,5,2,3,6,7,1]=>[1,5,6,3,4,7,8,2]=>0010001 [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[8,4,3,2,5,6,7,1]=>[1,5,4,3,6,7,8,2]=>0110001 [.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[8,3,4,2,5,6,7,1]=>[1,5,3,4,6,7,8,2]=>0100001 [.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[8,4,2,3,5,6,7,1]=>[1,4,5,3,6,7,8,2]=>0010001 [.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[8,3,2,4,5,6,7,1]=>[1,4,3,5,6,7,8,2]=>0100001 [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[8,2,3,4,5,6,7,1]=>[1,3,4,5,6,7,8,2]=>0000001 [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[1,7,6,5,4,3,2,8]=>0111110 [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[1,7,6,5,4,2,3,8]=>0111100 [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[1,7,6,5,3,2,4,8]=>0111100 [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[7,6,4,5,3,2,8,1]=>[1,7,6,4,5,3,2,8]=>0110110 [.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[1,7,6,3,4,5,2,8]=>0110010 [.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[1,7,6,4,2,3,5,8]=>0111000 [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[1,7,6,3,4,2,5,8]=>0110100 [.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[5,4,6,7,3,2,8,1]=>[1,7,6,3,2,4,5,8]=>0111000 [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[1,7,6,2,3,4,5,8]=>0110000 [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[7,6,5,3,4,2,8,1]=>[1,7,5,6,4,3,2,8]=>0101110 [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[1,7,5,6,3,4,2,8]=>0101010 [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[1,7,5,6,3,2,4,8]=>0101100 [.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[5,6,7,3,4,2,8,1]=>[1,7,5,6,2,3,4,8]=>0101000 [.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[6,7,4,3,5,2,8,1]=>[1,7,5,4,6,2,3,8]=>0110100 [.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[7,6,3,4,5,2,8,1]=>[1,7,4,5,6,3,2,8]=>0100110 [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[7,5,4,3,6,2,8,1]=>[1,7,5,4,3,6,2,8]=>0111010 [.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[7,3,4,5,6,2,8,1]=>[1,7,3,4,5,6,2,8]=>0100010 [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[1,7,5,4,3,2,6,8]=>0111100 [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[1,7,5,3,2,4,6,8]=>0111000 [.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[1,7,5,2,3,4,6,8]=>0110000 [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[1,7,4,5,3,2,6,8]=>0101100 [.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[1,7,4,5,2,3,6,8]=>0101000 [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[1,7,4,3,2,5,6,8]=>0111000 [.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[1,7,4,2,3,5,6,8]=>0110000 [.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[5,3,4,6,7,2,8,1]=>[1,7,3,4,2,5,6,8]=>0101000 [.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[1,7,3,2,4,5,6,8]=>0110000 [.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[1,7,2,3,4,5,6,8]=>0100000 [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,2,3,8,1]=>[1,6,7,5,4,3,2,8]=>0011110 [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[1,6,7,5,3,2,4,8]=>0011100 [.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,2,3,8,1]=>[1,6,7,4,5,3,2,8]=>0010110 [.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[1,6,7,4,5,2,3,8]=>0010100 [.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,2,3,8,1]=>[1,6,7,4,3,5,2,8]=>0011010 [.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[1,6,7,4,3,2,5,8]=>0011100 [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[1,6,7,3,4,2,5,8]=>0010100 [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[1,6,7,3,2,4,5,8]=>0011000 [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[1,6,7,2,3,4,5,8]=>0010000 [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[7,6,5,3,2,4,8,1]=>[1,6,5,7,4,3,2,8]=>0101110 [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[1,6,5,7,4,2,3,8]=>0101100 [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[1,5,6,7,4,3,2,8]=>0001110 [.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[7,5,6,2,3,4,8,1]=>[1,5,6,7,3,4,2,8]=>0001010 [.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[5,6,7,2,3,4,8,1]=>[1,5,6,7,2,3,4,8]=>0001000 [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[1,6,5,4,7,2,3,8]=>0110100 [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[7,6,3,4,2,5,8,1]=>[1,6,4,5,7,3,2,8]=>0100110 [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[1,5,6,4,7,3,2,8]=>0010110 [.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[6,7,4,2,3,5,8,1]=>[1,5,6,4,7,2,3,8]=>0010100 [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[7,6,3,2,4,5,8,1]=>[1,5,4,6,7,3,2,8]=>0100110 [.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[1,5,4,6,7,2,3,8]=>0100100 [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[7,6,2,3,4,5,8,1]=>[1,4,5,6,7,3,2,8]=>0000110 [.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[1,4,5,6,7,2,3,8]=>0000100 [.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[7,4,5,2,3,6,8,1]=>[1,5,6,3,4,7,2,8]=>0010010 [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[7,5,3,2,4,6,8,1]=>[1,5,4,6,3,7,2,8]=>0101010 [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[1,4,5,6,3,7,2,8]=>0001010 [.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[7,4,3,2,5,6,8,1]=>[1,5,4,3,6,7,2,8]=>0110010 [.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[7,3,4,2,5,6,8,1]=>[1,5,3,4,6,7,2,8]=>0100010 [.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[7,4,2,3,5,6,8,1]=>[1,4,5,3,6,7,2,8]=>0010010 [.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[7,2,3,4,5,6,8,1]=>[1,3,4,5,6,7,2,8]=>0000010 [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[1,6,5,4,3,2,7,8]=>0111100 [.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[1,6,5,3,2,4,7,8]=>0111000 [.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>[6,5,3,4,2,7,8,1]=>[1,6,4,5,3,2,7,8]=>0101100 [.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[5,6,3,4,2,7,8,1]=>[1,6,4,5,2,3,7,8]=>0101000 [.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[6,4,3,5,2,7,8,1]=>[1,6,4,3,5,2,7,8]=>0110100 [.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[6,3,4,5,2,7,8,1]=>[1,6,3,4,5,2,7,8]=>0100100 [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[1,6,4,3,2,5,7,8]=>0111000 [.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[4,5,3,6,2,7,8,1]=>[1,6,4,2,3,5,7,8]=>0110000 [.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[5,3,4,6,2,7,8,1]=>[1,6,3,4,2,5,7,8]=>0101000 [.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[1,6,3,2,4,5,7,8]=>0110000 [.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[1,6,2,3,4,5,7,8]=>0100000 [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[1,5,6,4,3,2,7,8]=>0011100 [.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[5,6,4,2,3,7,8,1]=>[1,5,6,4,2,3,7,8]=>0011000 [.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[1,5,6,3,4,2,7,8]=>0010100 [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[1,5,6,3,2,4,7,8]=>0011000 [.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[4,5,6,2,3,7,8,1]=>[1,5,6,2,3,4,7,8]=>0010000 [.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[6,5,3,2,4,7,8,1]=>[1,5,4,6,3,2,7,8]=>0101100 [.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[1,4,5,6,3,2,7,8]=>0001100 [.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[5,6,2,3,4,7,8,1]=>[1,4,5,6,2,3,7,8]=>0001000 [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[6,4,2,3,5,7,8,1]=>[1,4,5,3,6,2,7,8]=>0010100 [.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>[6,3,2,4,5,7,8,1]=>[1,4,3,5,6,2,7,8]=>0100100 [.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[6,2,3,4,5,7,8,1]=>[1,3,4,5,6,2,7,8]=>0000100 [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[1,5,4,3,2,6,7,8]=>0111000 [.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[1,5,4,2,3,6,7,8]=>0110000 [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[5,3,4,2,6,7,8,1]=>[1,5,3,4,2,6,7,8]=>0101000 [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[1,5,3,2,4,6,7,8]=>0110000 [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[1,5,2,3,4,6,7,8]=>0100000 [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[1,4,5,3,2,6,7,8]=>0011000 [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[1,4,5,2,3,6,7,8]=>0010000 [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[1,3,4,5,2,6,7,8]=>0001000 [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[1,4,3,2,5,6,7,8]=>0110000 [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[1,4,2,3,5,6,7,8]=>0100000 [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[4,2,3,5,6,7,8,1]=>[1,3,4,2,5,6,7,8]=>0010000 [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[1,3,2,4,5,6,7,8]=>0100000 [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>0000000 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[8,1,7,6,5,4,3,2]=>1011111 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[8,1,7,6,5,4,2,3]=>1011110 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,3,1,2]=>[8,1,7,6,5,3,4,2]=>1011101 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,3,1,2]=>[8,1,7,6,5,3,2,4]=>1011110 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,3,1,2]=>[8,1,7,6,5,2,3,4]=>1011100 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[8,1,7,6,4,5,3,2]=>1011011 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[8,1,7,6,4,5,2,3]=>1011010 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,3,1,2]=>[8,1,7,6,4,3,5,2]=>1011101 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[8,1,7,6,4,3,2,5]=>1011110 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[8,1,7,6,4,2,3,5]=>1011100 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,3,1,2]=>[8,1,7,6,3,2,4,5]=>1011100 [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[8,1,7,6,2,3,4,5]=>1011000 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,3,1,2]=>[8,1,7,5,6,4,3,2]=>1010111 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[8,1,7,5,6,4,2,3]=>1010110 [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,3,1,2]=>[8,1,7,5,6,2,3,4]=>1010100 [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[8,1,7,4,5,6,2,3]=>1010010 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[8,5,4,6,7,3,1,2]=>[8,1,7,4,3,5,6,2]=>1011001 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,3,1,2]=>[8,1,7,5,4,3,2,6]=>1011110 [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>[6,7,5,4,8,3,1,2]=>[8,1,7,5,4,2,3,6]=>1011100 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[8,1,7,5,3,2,4,6]=>1011100 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[8,1,7,4,5,3,2,6]=>1010110 [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[8,1,7,4,5,2,3,6]=>1010100 [[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[7,4,5,6,8,3,1,2]=>[8,1,7,3,4,5,2,6]=>1010010 [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[8,1,7,4,2,3,5,6]=>1011000 [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,3,1,2]=>[8,1,7,3,2,4,5,6]=>1011000 [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[8,1,7,2,3,4,5,6]=>1010000 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[8,1,6,7,5,4,3,2]=>1001111 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[8,1,6,7,5,4,2,3]=>1001110 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,4,1,2]=>[8,1,6,7,5,3,4,2]=>1001101 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,4,1,2]=>[8,1,6,7,5,3,2,4]=>1001110 [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[8,1,6,7,5,2,3,4]=>1001100 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[8,1,6,7,4,5,3,2]=>1001011 [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[8,1,6,7,4,5,2,3]=>1001010 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[8,1,6,7,4,3,2,5]=>1001110 [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[8,1,6,7,4,2,3,5]=>1001100 [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[8,1,6,7,3,4,2,5]=>1001010 [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[8,1,6,7,3,2,4,5]=>1001100 [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[8,1,6,7,2,3,4,5]=>1001000 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,5,1,2]=>[8,1,6,5,7,4,3,2]=>1010111 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,3,5,1,2]=>[8,1,6,5,7,3,4,2]=>1010101 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[8,1,5,6,7,4,3,2]=>1000111 [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[8,1,5,6,7,4,2,3]=>1000110 [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[8,6,7,3,4,5,1,2]=>[8,1,5,6,7,3,4,2]=>1000101 [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[7,6,8,3,4,5,1,2]=>[8,1,5,6,7,3,2,4]=>1000110 [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[6,7,8,3,4,5,1,2]=>[8,1,5,6,7,2,3,4]=>1000100 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[8,1,6,5,4,7,2,3]=>1011010 [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[8,1,6,4,5,7,2,3]=>1010010 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[8,7,5,3,4,6,1,2]=>[8,1,5,6,4,7,3,2]=>1001011 [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[8,1,5,6,4,7,2,3]=>1001010 [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[8,1,5,4,6,7,2,3]=>1010010 [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[8,7,3,4,5,6,1,2]=>[8,1,4,5,6,7,3,2]=>1000011 [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[8,1,4,5,6,7,2,3]=>1000010 [[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,3,7,1,2]=>[8,1,6,4,3,5,7,2]=>1011001 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[8,6,4,3,5,7,1,2]=>[8,1,5,4,6,3,7,2]=>1010101 [[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[8,6,3,4,5,7,1,2]=>[8,1,4,5,6,3,7,2]=>1000101 [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[8,1,5,4,3,6,7,2]=>1011001 [[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[8,5,3,4,6,7,1,2]=>[8,1,4,5,3,6,7,2]=>1001001 [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[8,1,4,3,5,6,7,2]=>1010001 [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[8,3,4,5,6,7,1,2]=>[8,1,3,4,5,6,7,2]=>1000001 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[8,1,6,5,4,3,2,7]=>1011110 [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[8,1,6,5,2,3,4,7]=>1011000 [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,3,8,1,2]=>[8,1,6,4,5,3,2,7]=>1010110 [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[8,1,6,4,5,2,3,7]=>1010100 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[8,1,6,4,3,5,2,7]=>1011010 [[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,3,8,1,2]=>[8,1,6,3,4,5,2,7]=>1010010 [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[8,1,6,4,2,3,5,7]=>1011000 [[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,3,8,1,2]=>[8,1,6,3,4,2,5,7]=>1010100 [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[8,1,6,3,2,4,5,7]=>1011000 [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[8,1,6,2,3,4,5,7]=>1010000 [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>[7,6,5,3,4,8,1,2]=>[8,1,5,6,4,3,2,7]=>1001110 [[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>[6,7,5,3,4,8,1,2]=>[8,1,5,6,4,2,3,7]=>1001100 [[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[6,5,7,3,4,8,1,2]=>[8,1,5,6,3,2,4,7]=>1001100 [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[8,1,4,5,6,3,2,7]=>1000110 [[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[6,7,3,4,5,8,1,2]=>[8,1,4,5,6,2,3,7]=>1000100 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[8,1,5,4,3,6,2,7]=>1011010 [[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[7,4,5,3,6,8,1,2]=>[8,1,5,3,4,6,2,7]=>1010010 [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[8,1,4,5,3,6,2,7]=>1001010 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[8,1,5,4,3,2,6,7]=>1011100 [[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>[5,6,4,3,7,8,1,2]=>[8,1,5,4,2,3,6,7]=>1011000 [[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[6,4,5,3,7,8,1,2]=>[8,1,5,3,4,2,6,7]=>1010100 [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[8,1,5,3,2,4,6,7]=>1011000 [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[8,1,5,2,3,4,6,7]=>1010000 [[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>[6,5,3,4,7,8,1,2]=>[8,1,4,5,3,2,6,7]=>1001100 [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[8,1,4,5,2,3,6,7]=>1001000 [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[8,1,4,3,5,2,6,7]=>1010100 [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[8,1,3,4,5,2,6,7]=>1000100 [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[8,1,4,3,2,5,6,7]=>1011000 [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[8,1,4,2,3,5,6,7]=>1010000 [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[8,1,3,2,4,5,6,7]=>1010000 [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[8,1,2,3,4,5,6,7]=>1000000 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[8,7,1,6,5,4,3,2]=>1101111 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[8,7,1,6,5,3,2,4]=>1101110 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[8,7,1,6,5,2,3,4]=>1101100 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[8,7,1,6,4,5,3,2]=>1101011 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[8,7,1,6,4,5,2,3]=>1101010 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,2,1,3]=>[8,7,1,6,4,3,5,2]=>1101101 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[8,7,1,6,4,3,2,5]=>1101110 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[8,7,1,6,4,2,3,5]=>1101100 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[8,7,1,6,3,4,2,5]=>1101010 [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[8,7,1,6,2,3,4,5]=>1101000 [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,2,1,3]=>[8,7,1,5,6,4,3,2]=>1100111 [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[8,7,1,5,6,3,2,4]=>1100110 [[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,2,1,3]=>[8,7,1,5,6,2,3,4]=>1100100 [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,2,1,3]=>[8,7,1,5,4,6,3,2]=>1101011 [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,2,1,3]=>[8,7,1,5,4,6,2,3]=>1101010 [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[8,7,1,4,5,6,3,2]=>1100011 [[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,2,1,3]=>[8,7,1,4,5,6,2,3]=>1100010 [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,2,1,3]=>[8,7,1,4,5,3,6,2]=>1100101 [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,2,1,3]=>[8,7,1,4,3,5,6,2]=>1101001 [[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,2,1,3]=>[8,7,1,3,4,5,6,2]=>1100001 [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[8,7,1,5,4,2,3,6]=>1101100 [[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,2,1,3]=>[8,7,1,5,2,3,4,6]=>1101000 [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,2,1,3]=>[8,7,1,4,5,3,2,6]=>1100110 [[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,2,1,3]=>[8,7,1,4,5,2,3,6]=>1100100 [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,2,1,3]=>[8,7,1,4,3,5,2,6]=>1101010 [[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,2,1,3]=>[8,7,1,3,4,5,2,6]=>1100010 [[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,2,1,3]=>[8,7,1,4,3,2,5,6]=>1101100 [[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,2,1,3]=>[8,7,1,4,2,3,5,6]=>1101000 [[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,2,1,3]=>[8,7,1,3,2,4,5,6]=>1101000 [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[8,7,1,2,3,4,5,6]=>1100000 [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[7,8,1,6,5,4,3,2]=>0101111 [[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,1,2,3]=>[7,8,1,6,5,3,2,4]=>0101110 [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[7,8,1,6,5,2,3,4]=>0101100 [[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[7,8,1,6,4,5,2,3]=>0101010 [[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[7,8,1,6,3,4,5,2]=>0101001 [[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[7,8,1,6,4,2,3,5]=>0101100 [[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[7,8,1,6,3,4,2,5]=>0101010 [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[7,8,1,6,2,3,4,5]=>0101000 [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>[7,8,1,5,6,4,3,2]=>0100111 [[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,1,2,3]=>[7,8,1,5,6,4,2,3]=>0100110 [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[7,8,1,5,6,3,4,2]=>0100101 [[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,1,2,3]=>[7,8,1,5,6,2,3,4]=>0100100 [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[7,8,1,5,4,6,3,2]=>0101011 [[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,1,2,3]=>[7,8,1,5,4,6,2,3]=>0101010 [[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>[7,8,1,4,5,6,3,2]=>0100011 [[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,1,2,3]=>[7,8,1,4,5,6,2,3]=>0100010 [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[7,8,1,5,4,3,6,2]=>0101101 [[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[7,8,1,5,3,4,6,2]=>0101001 [[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[7,8,1,4,5,3,6,2]=>0100101 [[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,1,2,3]=>[7,8,1,4,3,5,6,2]=>0101001 [[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,1,2,3]=>[7,8,1,3,4,5,6,2]=>0100001 [[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[7,8,1,5,4,2,3,6]=>0101100 [[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[7,8,1,5,3,2,4,6]=>0101100 [[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[7,8,1,4,5,3,2,6]=>0100110 [[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[7,8,1,4,5,2,3,6]=>0100100 [[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[7,8,1,4,3,5,2,6]=>0101010 [[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[7,8,1,3,4,5,2,6]=>0100010 [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[7,8,1,4,3,2,5,6]=>0101100 [[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[7,8,1,4,2,3,5,6]=>0101000 [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[7,8,1,3,2,4,5,6]=>0101000 [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[7,8,1,2,3,4,5,6]=>0100000 [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[8,7,6,1,5,4,3,2]=>1110111 [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[8,7,6,1,5,4,2,3]=>1110110 [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[8,7,6,1,5,3,4,2]=>1110101 [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[8,7,6,1,5,3,2,4]=>1110110 [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[8,7,6,1,5,2,3,4]=>1110100 [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[8,7,6,1,4,5,3,2]=>1110011 [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[8,7,6,1,4,5,2,3]=>1110010 [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[8,7,6,1,4,3,5,2]=>1110101 [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[8,7,6,1,3,4,5,2]=>1110001 [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[8,7,6,1,4,3,2,5]=>1110110 [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[8,7,6,1,4,2,3,5]=>1110100 [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[8,7,6,1,3,4,2,5]=>1110010 [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[8,7,6,1,3,2,4,5]=>1110100 [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[8,7,6,1,2,3,4,5]=>1110000 [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[8,6,7,1,5,4,3,2]=>1010111 [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[8,6,7,1,5,3,4,2]=>1010101 [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[8,6,7,1,5,3,2,4]=>1010110 [[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,3,1,4]=>[8,6,7,1,5,2,3,4]=>1010100 [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[8,6,7,1,4,5,3,2]=>1010011 [[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[8,6,7,1,4,5,2,3]=>1010010 [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[8,6,7,1,4,3,5,2]=>1010101 [[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[8,6,7,1,3,4,5,2]=>1010001 [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[8,6,7,1,4,3,2,5]=>1010110 [[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[8,6,7,1,4,2,3,5]=>1010100 [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[8,6,7,1,3,4,2,5]=>1010010 [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[8,6,7,1,2,3,4,5]=>1010000 [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[7,8,6,1,5,4,3,2]=>0110111 [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,1,2,4]=>[7,8,6,1,5,3,4,2]=>0110101 [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,1,2,4]=>[7,8,6,1,5,3,2,4]=>0110110 [[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,1,2,4]=>[7,8,6,1,5,2,3,4]=>0110100 [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,1,2,4]=>[7,8,6,1,4,5,3,2]=>0110011 [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[7,8,6,1,4,5,2,3]=>0110010 [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[7,8,6,1,4,3,5,2]=>0110101 [[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,1,2,4]=>[7,8,6,1,3,4,5,2]=>0110001 [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[7,8,6,1,4,3,2,5]=>0110110 [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[7,8,6,1,4,2,3,5]=>0110100 [[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[7,8,6,1,3,2,4,5]=>0110100 [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[7,8,6,1,2,3,4,5]=>0110000 [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[7,6,8,1,5,4,3,2]=>1010111 [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,1,3,4]=>[7,6,8,1,5,3,4,2]=>1010101 [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,1,3,4]=>[7,6,8,1,4,5,3,2]=>1010011 [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[7,6,8,1,4,5,2,3]=>1010010 [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[7,6,8,1,4,3,5,2]=>1010101 [[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[7,6,8,1,3,4,5,2]=>1010001 [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[7,6,8,1,4,3,2,5]=>1010110 [[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[7,6,8,1,4,2,3,5]=>1010100 [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[7,6,8,1,3,2,4,5]=>1010100 [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[7,6,8,1,2,3,4,5]=>1010000 [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[6,7,8,1,5,4,3,2]=>0010111 [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[6,7,8,1,5,4,2,3]=>0010110 [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[6,7,8,1,5,3,4,2]=>0010101 [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[6,7,8,1,5,3,2,4]=>0010110 [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[6,7,8,1,5,2,3,4]=>0010100 [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[6,7,8,1,4,5,3,2]=>0010011 [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[6,7,8,1,4,5,2,3]=>0010010 [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[6,7,8,1,4,3,5,2]=>0010101 [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[6,7,8,1,3,4,5,2]=>0010001 [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[6,7,8,1,4,3,2,5]=>0010110 [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[6,7,8,1,4,2,3,5]=>0010100 [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[6,7,8,1,3,4,2,5]=>0010010 [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[6,7,8,1,3,2,4,5]=>0010100 [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[6,7,8,1,2,3,4,5]=>0010000 [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[8,7,6,5,1,4,3,2]=>1111011 [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[8,7,6,5,1,4,2,3]=>1111010 [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[8,7,6,5,1,3,4,2]=>1111001 [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[8,7,6,5,1,3,2,4]=>1111010 [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[8,7,6,5,1,2,3,4]=>1111000 [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[8,7,5,6,1,4,3,2]=>1101011 [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[8,7,5,6,1,4,2,3]=>1101010 [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[8,6,7,3,4,2,1,5]=>[8,7,5,6,1,3,4,2]=>1101001 [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[8,7,5,6,1,2,3,4]=>1101000 [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[8,6,7,5,1,4,3,2]=>1011011 [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,2,3,1,5]=>[8,6,7,5,1,4,2,3]=>1011010 [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[8,6,7,5,1,3,2,4]=>1011010 [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[8,6,7,5,1,2,3,4]=>1011000 [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[8,6,5,7,1,4,3,2]=>1101011 [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[7,6,8,3,2,4,1,5]=>[8,6,5,7,1,3,2,4]=>1101010 [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[8,6,5,7,1,2,3,4]=>1101000 [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[8,5,6,7,1,4,3,2]=>1001011 [[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[7,8,6,2,3,4,1,5]=>[8,5,6,7,1,4,2,3]=>1001010 [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[8,5,6,7,1,2,3,4]=>1001000 [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[7,8,6,5,1,4,3,2]=>0111011 [[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,3,1,2,5]=>[7,8,6,5,1,4,2,3]=>0111010 [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[7,8,6,5,1,2,3,4]=>0111000 [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[7,8,5,6,1,4,3,2]=>0101011 [[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[8,6,7,3,4,1,2,5]=>[7,8,5,6,1,3,4,2]=>0101001 [[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[7,6,8,3,4,1,2,5]=>[7,8,5,6,1,3,2,4]=>0101010 [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[7,8,5,6,1,2,3,4]=>0101000 [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[7,6,8,5,1,4,3,2]=>1011011 [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[7,6,8,5,1,4,2,3]=>1011010 [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,2,1,3,5]=>[7,6,8,5,1,3,2,4]=>1011010 [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[7,6,8,5,1,2,3,4]=>1011000 [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[6,7,8,5,1,4,3,2]=>0011011 [[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[6,7,8,5,1,4,2,3]=>0011010 [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[6,7,8,5,1,3,2,4]=>0011010 [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[6,7,8,5,1,2,3,4]=>0011000 [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[7,6,5,8,1,4,3,2]=>1101011 [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[7,8,6,3,2,1,4,5]=>[7,6,5,8,1,4,2,3]=>1101010 [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[8,6,7,3,2,1,4,5]=>[7,6,5,8,1,3,4,2]=>1101001 [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[7,6,5,8,1,3,2,4]=>1101010 [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[7,6,5,8,1,2,3,4]=>1101000 [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[7,5,6,8,1,4,3,2]=>1001011 [[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[7,8,6,2,3,1,4,5]=>[7,5,6,8,1,4,2,3]=>1001010 [[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[8,6,7,2,3,1,4,5]=>[7,5,6,8,1,3,4,2]=>1001001 [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[7,5,6,8,1,3,2,4]=>1001010 [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[7,5,6,8,1,2,3,4]=>1001000 [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[6,7,5,8,1,4,3,2]=>0101011 [[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[6,7,5,8,1,4,2,3]=>0101010 [[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[8,6,7,3,1,2,4,5]=>[6,7,5,8,1,3,4,2]=>0101001 [[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[7,6,8,3,1,2,4,5]=>[6,7,5,8,1,3,2,4]=>0101010 [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[6,7,5,8,1,2,3,4]=>0101000 [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[6,5,7,8,1,4,3,2]=>1001011 [[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[6,5,7,8,1,4,2,3]=>1001010 [[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[8,6,7,2,1,3,4,5]=>[6,5,7,8,1,3,4,2]=>1001001 [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[6,5,7,8,1,2,3,4]=>1001000 [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[5,6,7,8,1,4,3,2]=>0001011 [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[5,6,7,8,1,4,2,3]=>0001010 [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[5,6,7,8,1,3,4,2]=>0001001 [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[5,6,7,8,1,3,2,4]=>0001010 [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[5,6,7,8,1,2,3,4]=>0001000 [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[8,7,6,5,4,1,3,2]=>1111101 [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[8,7,6,5,4,1,2,3]=>1111100 [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[8,7,4,5,3,2,1,6]=>[8,7,6,4,5,1,3,2]=>1110101 [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[8,7,5,6,4,1,3,2]=>1101101 [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[8,7,4,3,5,2,1,6]=>[8,7,5,4,6,1,3,2]=>1110101 [[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[7,8,4,3,5,2,1,6]=>[8,7,5,4,6,1,2,3]=>1110100 [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[8,7,4,5,6,1,3,2]=>1100101 [[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[8,7,4,5,6,1,2,3]=>1100100 [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,2,3,1,6]=>[8,6,7,5,4,1,3,2]=>1011101 [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[8,6,7,4,5,1,3,2]=>1010101 [[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[8,6,7,4,5,1,2,3]=>1010100 [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[8,6,5,7,4,1,3,2]=>1101101 [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[7,8,5,3,2,4,1,6]=>[8,6,5,7,4,1,2,3]=>1101100 [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[8,7,5,2,3,4,1,6]=>[8,5,6,7,4,1,3,2]=>1001101 [[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[7,8,5,2,3,4,1,6]=>[8,5,6,7,4,1,2,3]=>1001100 [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[8,6,5,4,7,1,3,2]=>1110101 [[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[8,6,4,5,7,1,2,3]=>1100100 [[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[7,8,4,2,3,5,1,6]=>[8,5,6,4,7,1,2,3]=>1010100 [[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[7,8,3,2,4,5,1,6]=>[8,5,4,6,7,1,2,3]=>1100100 [[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[7,8,2,3,4,5,1,6]=>[8,4,5,6,7,1,2,3]=>1000100 [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[7,8,6,5,4,1,3,2]=>0111101 [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[7,8,6,5,4,1,2,3]=>0111100 [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[7,8,5,6,4,1,3,2]=>0101101 [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[7,8,5,6,4,1,2,3]=>0101100 [[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[7,8,4,3,5,1,2,6]=>[7,8,5,4,6,1,2,3]=>0110100 [[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[8,7,3,4,5,1,2,6]=>[7,8,4,5,6,1,3,2]=>0100101 [[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[7,8,3,4,5,1,2,6]=>[7,8,4,5,6,1,2,3]=>0100100 [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,2,1,3,6]=>[7,6,8,5,4,1,3,2]=>1011101 [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[7,6,8,5,4,1,2,3]=>1011100 [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[6,7,8,5,4,1,2,3]=>0011100 [[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,1,2,3,6]=>[6,7,8,4,5,1,2,3]=>0010100 [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[7,6,5,8,4,1,3,2]=>1101101 [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[7,6,5,8,4,1,2,3]=>1101100 [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[7,5,6,8,4,1,3,2]=>1001101 [[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[7,8,5,2,3,1,4,6]=>[7,5,6,8,4,1,2,3]=>1001100 [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[6,7,5,8,4,1,3,2]=>0101101 [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[6,7,5,8,4,1,2,3]=>0101100 [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[6,5,7,8,4,1,3,2]=>1001101 [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[6,5,7,8,4,1,2,3]=>1001100 [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[5,6,7,8,4,1,3,2]=>0001101 [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[5,6,7,8,4,1,2,3]=>0001100 [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[7,6,5,4,8,1,3,2]=>1110101 [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[7,6,5,4,8,1,2,3]=>1110100 [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[7,6,4,5,8,1,3,2]=>1100101 [[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[7,6,4,5,8,1,2,3]=>1100100 [[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[7,5,6,4,8,1,2,3]=>1010100 [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[7,5,4,6,8,1,2,3]=>1100100 [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[8,7,2,3,4,1,5,6]=>[7,4,5,6,8,1,3,2]=>1000101 [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[7,4,5,6,8,1,2,3]=>1000100 [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[8,7,4,3,1,2,5,6]=>[6,7,5,4,8,1,3,2]=>0110101 [[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[6,7,5,4,8,1,2,3]=>0110100 [[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[6,7,4,5,8,1,3,2]=>0100101 [[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[6,7,4,5,8,1,2,3]=>0100100 [[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[8,7,4,2,1,3,5,6]=>[6,5,7,4,8,1,3,2]=>1010101 [[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[6,5,7,4,8,1,2,3]=>1010100 [[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[8,7,4,1,2,3,5,6]=>[5,6,7,4,8,1,3,2]=>0010101 [[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[5,6,7,4,8,1,2,3]=>0010100 [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[6,5,4,7,8,1,3,2]=>1100101 [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[6,5,4,7,8,1,2,3]=>1100100 [[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[8,7,2,3,1,4,5,6]=>[6,4,5,7,8,1,3,2]=>1000101 [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[6,4,5,7,8,1,2,3]=>1000100 [[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[5,6,4,7,8,1,2,3]=>0100100 [[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[5,4,6,7,8,1,3,2]=>1000101 [[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[5,4,6,7,8,1,2,3]=>1000100 [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>[4,5,6,7,8,1,3,2]=>0000101 [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[4,5,6,7,8,1,2,3]=>0000100 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,1,2]=>1111110 [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[8,7,6,5,3,4,1,2]=>1111010 [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[8,6,4,5,3,2,1,7]=>[8,7,6,4,5,3,1,2]=>1110110 [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[8,7,6,3,4,5,1,2]=>1110010 [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[8,7,5,6,4,3,1,2]=>1101110 [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[8,7,5,6,3,4,1,2]=>1101010 [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[8,6,4,3,5,2,1,7]=>[8,7,5,4,6,3,1,2]=>1110110 [[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[8,4,3,5,6,2,1,7]=>[8,7,4,3,5,6,1,2]=>1110010 [[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[8,7,3,4,5,6,1,2]=>1100010 [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[8,6,7,5,4,3,1,2]=>1011110 [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,2,3,1,7]=>[8,6,7,4,5,3,1,2]=>1010110 [[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[8,4,5,6,2,3,1,7]=>[8,6,7,3,4,5,1,2]=>1010010 [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[8,6,5,7,4,3,1,2]=>1101110 [[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[8,5,6,7,3,4,1,2]=>1001010 [[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[8,6,3,4,2,5,1,7]=>[8,6,4,5,7,3,1,2]=>1100110 [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[8,5,6,4,7,3,1,2]=>1010110 [[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[8,5,4,6,7,3,1,2]=>1100110 [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[8,5,4,3,2,6,1,7]=>[8,6,5,4,3,7,1,2]=>1111010 [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[8,4,3,2,5,6,1,7]=>[8,5,4,3,6,7,1,2]=>1110010 [[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[8,3,4,2,5,6,1,7]=>[8,5,3,4,6,7,1,2]=>1100010 [[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[8,3,2,4,5,6,1,7]=>[8,4,3,5,6,7,1,2]=>1100010 [[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[8,2,3,4,5,6,1,7]=>[8,3,4,5,6,7,1,2]=>1000010 [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[7,8,6,5,4,3,1,2]=>0111110 [[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[8,6,5,3,4,1,2,7]=>[7,8,5,6,4,3,1,2]=>0101110 [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[7,8,5,6,3,4,1,2]=>0101010 [[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[7,8,5,3,4,6,1,2]=>0110010 [[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[8,5,3,4,6,1,2,7]=>[7,8,4,5,3,6,1,2]=>0101010 [[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[7,8,4,3,5,6,1,2]=>0110010 [[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[7,8,3,4,5,6,1,2]=>0100010 [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[7,6,8,5,4,3,1,2]=>1011110 [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[7,6,8,5,3,4,1,2]=>1011010 [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,1,2,3,7]=>[6,7,8,5,4,3,1,2]=>0011110 [[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[6,7,8,5,3,4,1,2]=>0011010 [[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,1,2,3,7]=>[6,7,8,4,5,3,1,2]=>0010110 [[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,1,2,3,7]=>[6,7,8,4,3,5,1,2]=>0011010 [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[7,6,5,8,4,3,1,2]=>1101110 [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[7,6,5,8,3,4,1,2]=>1101010 [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[7,5,6,8,4,3,1,2]=>1001110 [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[7,5,6,8,3,4,1,2]=>1001010 [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[8,6,5,3,1,2,4,7]=>[6,7,5,8,4,3,1,2]=>0101110 [[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[6,7,5,8,3,4,1,2]=>0101010 [[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[6,5,7,8,4,3,1,2]=>1001110 [[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[6,5,7,8,3,4,1,2]=>1001010 [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[5,6,7,8,4,3,1,2]=>0001110 [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[5,6,7,8,3,4,1,2]=>0001010 [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[7,6,5,4,8,3,1,2]=>1110110 [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[7,6,4,5,8,3,1,2]=>1100110 [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[7,5,6,4,8,3,1,2]=>1010110 [[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[6,7,4,5,8,3,1,2]=>0100110 [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[6,5,7,4,8,3,1,2]=>1010110 [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[6,5,4,7,8,3,1,2]=>1100110 [[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[8,6,1,2,3,4,5,7]=>[4,5,6,7,8,3,1,2]=>0000110 [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[8,5,4,3,2,1,6,7]=>[7,6,5,4,3,8,1,2]=>1111010 [[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[7,6,5,3,4,8,1,2]=>1110010 [[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[7,6,4,3,5,8,1,2]=>1110010 [[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[7,6,3,4,5,8,1,2]=>1100010 [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[8,5,4,2,3,1,6,7]=>[7,5,6,4,3,8,1,2]=>1011010 [[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[7,5,6,3,4,8,1,2]=>1010010 [[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[8,2,3,4,5,1,6,7]=>[7,3,4,5,6,8,1,2]=>1000010 [[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[6,7,4,5,3,8,1,2]=>0101010 [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[6,5,7,4,3,8,1,2]=>1011010 [[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[8,5,4,1,2,3,6,7]=>[5,6,7,4,3,8,1,2]=>0011010 [[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[8,4,5,1,2,3,6,7]=>[5,6,7,3,4,8,1,2]=>0010010 [[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[5,6,4,7,3,8,1,2]=>0101010 [[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[8,5,2,1,3,4,6,7]=>[5,4,6,7,3,8,1,2]=>1001010 [[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[4,5,6,7,3,8,1,2]=>0001010 [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[6,5,4,3,7,8,1,2]=>1110010 [[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[8,3,4,2,1,5,6,7]=>[6,5,3,4,7,8,1,2]=>1100010 [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[8,3,2,4,1,5,6,7]=>[6,4,3,5,7,8,1,2]=>1100010 [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[6,3,4,5,7,8,1,2]=>1000010 [[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[8,4,3,1,2,5,6,7]=>[5,6,4,3,7,8,1,2]=>0110010 [[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[5,6,3,4,7,8,1,2]=>0100010 [[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[5,4,6,3,7,8,1,2]=>1010010 [[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[8,4,1,2,3,5,6,7]=>[4,5,6,3,7,8,1,2]=>0010010 [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[5,4,3,6,7,8,1,2]=>1100010 [[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[5,3,4,6,7,8,1,2]=>1000010 [[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[4,5,3,6,7,8,1,2]=>0100010 [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[8,2,1,3,4,5,6,7]=>[4,3,5,6,7,8,1,2]=>1000010 [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,2]=>0000010 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>1111111 [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[8,7,6,5,4,2,3,1]=>1111101 [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[8,7,6,5,3,4,2,1]=>1111011 [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[8,7,6,5,3,2,4,1]=>1111101 [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[8,7,6,5,2,3,4,1]=>1111001 [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[8,7,6,4,5,3,2,1]=>1110111 [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[6,7,4,5,3,2,1,8]=>[8,7,6,4,5,2,3,1]=>1110101 [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[7,5,4,6,3,2,1,8]=>[8,7,6,4,3,5,2,1]=>1111011 [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[8,7,6,3,4,5,2,1]=>1110011 [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[8,7,6,4,3,2,5,1]=>1111101 [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[8,7,6,4,2,3,5,1]=>1111001 [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[6,4,5,7,3,2,1,8]=>[8,7,6,3,4,2,5,1]=>1110101 [[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[8,7,6,3,2,4,5,1]=>1111001 [[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[8,7,6,2,3,4,5,1]=>1110001 [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[8,7,5,6,4,3,2,1]=>1101111 [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[6,7,5,3,4,2,1,8]=>[8,7,5,6,4,2,3,1]=>1101101 [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[8,7,5,6,3,4,2,1]=>1101011 [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[6,5,7,3,4,2,1,8]=>[8,7,5,6,3,2,4,1]=>1101101 [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[8,7,5,6,2,3,4,1]=>1101001 [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>[8,7,5,4,6,3,2,1]=>1110111 [[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[6,7,4,3,5,2,1,8]=>[8,7,5,4,6,2,3,1]=>1110101 [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[8,7,4,5,6,3,2,1]=>1100111 [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[7,5,4,3,6,2,1,8]=>[8,7,5,4,3,6,2,1]=>1111011 [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[8,7,5,3,4,6,2,1]=>1110011 [[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[7,4,3,5,6,2,1,8]=>[8,7,4,3,5,6,2,1]=>1110011 [[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[8,7,3,4,5,6,2,1]=>1100011 [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[8,7,5,4,3,2,6,1]=>1111101 [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[6,4,5,3,7,2,1,8]=>[8,7,5,3,4,2,6,1]=>1110101 [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[8,7,5,3,2,4,6,1]=>1111001 [[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[6,4,3,5,7,2,1,8]=>[8,7,4,3,5,2,6,1]=>1110101 [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[8,7,4,3,2,5,6,1]=>1111001 [[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[8,7,2,3,4,5,6,1]=>1100001 [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,2,3,1,8]=>[8,6,7,5,4,3,2,1]=>1011111 [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>[8,6,7,5,4,2,3,1]=>1011101 [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[8,6,7,5,3,4,2,1]=>1011011 [[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[8,6,7,5,2,3,4,1]=>1011001 [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[8,6,7,4,5,3,2,1]=>1010111 [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[8,6,7,4,5,2,3,1]=>1010101 [[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[7,5,4,6,2,3,1,8]=>[8,6,7,4,3,5,2,1]=>1011011 [[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[8,6,7,3,4,5,2,1]=>1010011 [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[8,6,7,4,3,2,5,1]=>1011101 [[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[8,6,7,4,2,3,5,1]=>1011001 [[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>[6,4,5,7,2,3,1,8]=>[8,6,7,3,4,2,5,1]=>1010101 [[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[8,6,7,3,2,4,5,1]=>1011001 [[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[8,6,7,2,3,4,5,1]=>1010001 [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[7,6,5,3,2,4,1,8]=>[8,6,5,7,4,3,2,1]=>1101111 [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[8,6,5,7,3,2,4,1]=>1101101 [[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[8,6,5,7,2,3,4,1]=>1101001 [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[8,5,6,7,4,3,2,1]=>1001111 [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[8,5,6,7,4,2,3,1]=>1001101 [[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[8,5,6,7,3,4,2,1]=>1001011 [[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[8,5,6,7,3,2,4,1]=>1001101 [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[8,5,6,7,2,3,4,1]=>1001001 [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[7,6,4,3,2,5,1,8]=>[8,6,5,4,7,3,2,1]=>1110111 [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[8,6,5,4,7,2,3,1]=>1110101 [[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[8,6,4,5,7,2,3,1]=>1100101 [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[8,5,6,4,7,3,2,1]=>1010111 [[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[6,7,4,2,3,5,1,8]=>[8,5,6,4,7,2,3,1]=>1010101 [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[8,5,4,6,7,3,2,1]=>1100111 [[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[8,4,5,6,7,3,2,1]=>1000111 [[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[6,7,2,3,4,5,1,8]=>[8,4,5,6,7,2,3,1]=>1000101 [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[7,5,4,3,2,6,1,8]=>[8,6,5,4,3,7,2,1]=>1111011 [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[8,6,4,5,3,7,2,1]=>1101011 [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[8,6,4,3,5,7,2,1]=>1110011 [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[7,4,3,2,5,6,1,8]=>[8,5,4,3,6,7,2,1]=>1110011 [[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>[7,3,2,4,5,6,1,8]=>[8,4,3,5,6,7,2,1]=>1100011 [[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[7,2,3,4,5,6,1,8]=>[8,3,4,5,6,7,2,1]=>1000011 [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[8,6,5,4,3,2,7,1]=>1111101 [[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>[5,6,4,3,2,7,1,8]=>[8,6,5,4,2,3,7,1]=>1111001 [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[8,6,5,3,2,4,7,1]=>1111001 [[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[8,6,4,5,2,3,7,1]=>1101001 [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[6,4,3,5,2,7,1,8]=>[8,6,4,3,5,2,7,1]=>1110101 [[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[8,6,3,4,5,2,7,1]=>1100101 [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[8,6,4,3,2,5,7,1]=>1111001 [[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[8,6,4,2,3,5,7,1]=>1110001 [[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[8,6,2,3,4,5,7,1]=>1100001 [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>[6,5,4,2,3,7,1,8]=>[8,5,6,4,3,2,7,1]=>1011101 [[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>[6,4,5,2,3,7,1,8]=>[8,5,6,3,4,2,7,1]=>1010101 [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[8,5,4,6,3,2,7,1]=>1101101 [[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[6,4,3,2,5,7,1,8]=>[8,5,4,3,6,2,7,1]=>1110101 [[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[6,4,2,3,5,7,1,8]=>[8,4,5,3,6,2,7,1]=>1010101 [[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[8,4,3,5,6,2,7,1]=>1100101 [[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[8,3,4,5,6,2,7,1]=>1000101 [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[8,5,4,3,2,6,7,1]=>1111001 [[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[4,5,3,2,6,7,1,8]=>[8,5,4,2,3,6,7,1]=>1110001 [[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[5,3,4,2,6,7,1,8]=>[8,5,3,4,2,6,7,1]=>1101001 [[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[8,5,2,3,4,6,7,1]=>1100001 [[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[5,4,2,3,6,7,1,8]=>[8,4,5,3,2,6,7,1]=>1011001 [[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[4,5,2,3,6,7,1,8]=>[8,4,5,2,3,6,7,1]=>1010001 [[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[5,2,3,4,6,7,1,8]=>[8,3,4,5,2,6,7,1]=>1001001 [[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>[4,3,2,5,6,7,1,8]=>[8,4,3,2,5,6,7,1]=>1110001 [[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[8,4,2,3,5,6,7,1]=>1100001 [[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[4,2,3,5,6,7,1,8]=>[8,3,4,2,5,6,7,1]=>1010001 [[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[3,2,4,5,6,7,1,8]=>[8,3,2,4,5,6,7,1]=>1100001 [[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[8,2,3,4,5,6,7,1]=>1000001 [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,3,1,2,8]=>[7,8,6,5,4,3,2,1]=>0111111 [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,3,1,2,8]=>[7,8,6,5,4,2,3,1]=>0111101 [[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,3,1,2,8]=>[7,8,6,5,3,4,2,1]=>0111011 [[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>[6,5,7,4,3,1,2,8]=>[7,8,6,5,3,2,4,1]=>0111101 [[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>[7,5,4,6,3,1,2,8]=>[7,8,6,4,3,5,2,1]=>0111011 [[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[7,8,6,3,4,5,2,1]=>0110011 [[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,3,1,2,8]=>[7,8,6,3,2,4,5,1]=>0111001 [[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[7,8,6,2,3,4,5,1]=>0110001 [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[7,6,5,3,4,1,2,8]=>[7,8,5,6,4,3,2,1]=>0101111 [[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[7,8,5,6,3,4,2,1]=>0101011 [[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[5,6,7,3,4,1,2,8]=>[7,8,5,6,2,3,4,1]=>0101001 [[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[6,7,3,4,5,1,2,8]=>[7,8,4,5,6,2,3,1]=>0100101 [[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[7,5,4,3,6,1,2,8]=>[7,8,5,4,3,6,2,1]=>0111011 [[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[7,4,5,3,6,1,2,8]=>[7,8,5,3,4,6,2,1]=>0110011 [[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[7,3,4,5,6,1,2,8]=>[7,8,3,4,5,6,2,1]=>0100011 [[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[7,8,5,4,3,2,6,1]=>0111101 [[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[6,4,5,3,7,1,2,8]=>[7,8,5,3,4,2,6,1]=>0110101 [[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[4,5,3,6,7,1,2,8]=>[7,8,4,2,3,5,6,1]=>0110001 [[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[5,3,4,6,7,1,2,8]=>[7,8,3,4,2,5,6,1]=>0101001 [[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[4,3,5,6,7,1,2,8]=>[7,8,3,2,4,5,6,1]=>0110001 [[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[7,8,2,3,4,5,6,1]=>0100001 [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,2,1,3,8]=>[7,6,8,5,4,3,2,1]=>1011111 [[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[6,7,5,4,2,1,3,8]=>[7,6,8,5,4,2,3,1]=>1011101 [[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[6,5,7,4,2,1,3,8]=>[7,6,8,5,3,2,4,1]=>1011101 [[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,2,1,3,8]=>[7,6,8,5,2,3,4,1]=>1011001 [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,2,1,3,8]=>[7,6,8,4,5,3,2,1]=>1010111 [[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[6,7,4,5,2,1,3,8]=>[7,6,8,4,5,2,3,1]=>1010101 [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,2,1,3,8]=>[7,6,8,4,3,5,2,1]=>1011011 [[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[7,6,8,3,4,5,2,1]=>1010011 [[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[6,5,4,7,2,1,3,8]=>[7,6,8,4,3,2,5,1]=>1011101 [[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,2,1,3,8]=>[7,6,8,4,2,3,5,1]=>1011001 [[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[7,6,8,2,3,4,5,1]=>1010001 [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[6,7,8,5,4,3,2,1]=>0011111 [[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[6,5,7,4,1,2,3,8]=>[6,7,8,5,3,2,4,1]=>0011101 [[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[6,7,8,5,2,3,4,1]=>0011001 [[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[6,7,8,4,3,5,2,1]=>0011011 [[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[6,7,8,3,4,5,2,1]=>0010011 [[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[6,5,4,7,1,2,3,8]=>[6,7,8,4,3,2,5,1]=>0011101 [[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[6,7,8,4,2,3,5,1]=>0011001 [[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[6,4,5,7,1,2,3,8]=>[6,7,8,3,4,2,5,1]=>0010101 [[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[6,7,8,3,2,4,5,1]=>0011001 [[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[6,7,8,2,3,4,5,1]=>0010001 [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[7,6,5,3,2,1,4,8]=>[7,6,5,8,4,3,2,1]=>1101111 [[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[6,7,5,3,2,1,4,8]=>[7,6,5,8,4,2,3,1]=>1101101 [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[7,5,6,3,2,1,4,8]=>[7,6,5,8,3,4,2,1]=>1101011 [[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[5,6,7,3,2,1,4,8]=>[7,6,5,8,2,3,4,1]=>1101001 [[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[7,5,6,8,4,3,2,1]=>1001111 [[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[6,7,5,2,3,1,4,8]=>[7,5,6,8,4,2,3,1]=>1001101 [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[7,6,5,3,1,2,4,8]=>[6,7,5,8,4,3,2,1]=>0101111 [[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[6,7,5,3,1,2,4,8]=>[6,7,5,8,4,2,3,1]=>0101101 [[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[6,7,5,8,3,4,2,1]=>0101011 [[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[6,7,5,8,2,3,4,1]=>0101001 [[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[6,5,7,8,4,3,2,1]=>1001111 [[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[7,5,6,2,1,3,4,8]=>[6,5,7,8,3,4,2,1]=>1001011 [[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[6,5,7,8,2,3,4,1]=>1001001 [[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[5,6,7,8,4,3,2,1]=>0001111 [[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[5,6,7,8,4,2,3,1]=>0001101 [[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[5,6,7,8,3,4,2,1]=>0001011 [[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[5,6,7,8,3,2,4,1]=>0001101 [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[5,6,7,8,2,3,4,1]=>0001001 [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[7,6,5,4,8,3,2,1]=>1110111 [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[7,6,5,4,8,2,3,1]=>1110101 [[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>[7,6,3,4,2,1,5,8]=>[7,6,4,5,8,3,2,1]=>1100111 [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[7,6,4,2,3,1,5,8]=>[7,5,6,4,8,3,2,1]=>1010111 [[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[6,7,4,2,3,1,5,8]=>[7,5,6,4,8,2,3,1]=>1010101 [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[7,5,4,6,8,3,2,1]=>1100111 [[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[7,4,5,6,8,3,2,1]=>1000111 [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[7,6,4,3,1,2,5,8]=>[6,7,5,4,8,3,2,1]=>0110111 [[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[7,6,3,4,1,2,5,8]=>[6,7,4,5,8,3,2,1]=>0100111 [[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[6,7,3,4,1,2,5,8]=>[6,7,4,5,8,2,3,1]=>0100101 [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[6,5,7,4,8,3,2,1]=>1010111 [[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[7,6,4,1,2,3,5,8]=>[5,6,7,4,8,3,2,1]=>0010111 [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[7,6,3,2,1,4,5,8]=>[6,5,4,7,8,3,2,1]=>1100111 [[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[7,6,2,3,1,4,5,8]=>[6,4,5,7,8,3,2,1]=>1000111 [[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[7,6,3,1,2,4,5,8]=>[5,6,4,7,8,3,2,1]=>0100111 [[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[7,6,1,2,3,4,5,8]=>[4,5,6,7,8,3,2,1]=>0000111 [[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[4,5,6,7,8,2,3,1]=>0000101 [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[7,5,4,3,2,1,6,8]=>[7,6,5,4,3,8,2,1]=>1111011 [[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[7,4,3,5,2,1,6,8]=>[7,6,4,3,5,8,2,1]=>1110011 [[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[7,3,4,5,2,1,6,8]=>[7,6,3,4,5,8,2,1]=>1100011 [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[7,5,4,2,3,1,6,8]=>[7,5,6,4,3,8,2,1]=>1011011 [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[7,5,3,2,4,1,6,8]=>[7,5,4,6,3,8,2,1]=>1101011 [[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[7,4,5,6,3,8,2,1]=>1001011 [[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>[7,4,3,2,5,1,6,8]=>[7,5,4,3,6,8,2,1]=>1110011 [[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[7,3,4,5,6,8,2,1]=>1000011 [[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[7,5,4,3,1,2,6,8]=>[6,7,5,4,3,8,2,1]=>0111011 [[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[6,7,4,5,3,8,2,1]=>0101011 [[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[7,5,4,1,2,3,6,8]=>[5,6,7,4,3,8,2,1]=>0011011 [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[6,5,4,7,3,8,2,1]=>1101011 [[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[7,5,2,3,1,4,6,8]=>[6,4,5,7,3,8,2,1]=>1001011 [[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[7,5,2,1,3,4,6,8]=>[5,4,6,7,3,8,2,1]=>1001011 [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[4,5,6,7,3,8,2,1]=>0001011 [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[6,5,4,3,7,8,2,1]=>1110011 [[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[7,3,4,2,1,5,6,8]=>[6,5,3,4,7,8,2,1]=>1100011 [[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[7,2,3,4,1,5,6,8]=>[6,3,4,5,7,8,2,1]=>1000011 [[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[7,4,1,2,3,5,6,8]=>[4,5,6,3,7,8,2,1]=>0010011 [[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[7,3,2,1,4,5,6,8]=>[5,4,3,6,7,8,2,1]=>1100011 [[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[7,2,3,1,4,5,6,8]=>[5,3,4,6,7,8,2,1]=>1000011 [[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[7,2,1,3,4,5,6,8]=>[4,3,5,6,7,8,2,1]=>1000011 [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[3,4,5,6,7,8,2,1]=>0000011 [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[7,6,5,4,3,2,8,1]=>1111101 [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[7,6,5,4,2,3,8,1]=>1111001 [[[.,[.,[.,[[.,.],[.,.]]]]],.],.]=>[6,4,5,3,2,1,7,8]=>[7,6,5,3,4,2,8,1]=>1110101 [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[7,6,5,3,2,4,8,1]=>1111001 [[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[7,6,5,2,3,4,8,1]=>1110001 [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[7,6,4,5,3,2,8,1]=>1101101 [[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>[5,6,3,4,2,1,7,8]=>[7,6,4,5,2,3,8,1]=>1101001 [[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>[6,4,3,5,2,1,7,8]=>[7,6,4,3,5,2,8,1]=>1110101 [[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>[6,3,4,5,2,1,7,8]=>[7,6,3,4,5,2,8,1]=>1100101 [[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>[4,5,3,6,2,1,7,8]=>[7,6,4,2,3,5,8,1]=>1110001 [[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>[4,3,5,6,2,1,7,8]=>[7,6,3,2,4,5,8,1]=>1110001 [[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[7,6,2,3,4,5,8,1]=>1100001 [[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>[6,5,4,2,3,1,7,8]=>[7,5,6,4,3,2,8,1]=>1011101 [[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>[5,6,4,2,3,1,7,8]=>[7,5,6,4,2,3,8,1]=>1011001 [[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[6,4,5,2,3,1,7,8]=>[7,5,6,3,4,2,8,1]=>1010101 [[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[4,5,6,2,3,1,7,8]=>[7,5,6,2,3,4,8,1]=>1010001 [[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[7,5,4,6,2,3,8,1]=>1101001 [[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[7,4,5,6,3,2,8,1]=>1001101 [[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[5,6,2,3,4,1,7,8]=>[7,4,5,6,2,3,8,1]=>1001001 [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[7,5,4,3,6,2,8,1]=>1110101 [[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>[6,3,4,2,5,1,7,8]=>[7,5,3,4,6,2,8,1]=>1100101 [[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>[6,4,2,3,5,1,7,8]=>[7,4,5,3,6,2,8,1]=>1010101 [[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[6,2,3,4,5,1,7,8]=>[7,3,4,5,6,2,8,1]=>1000101 [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[7,5,4,3,2,6,8,1]=>1111001 [[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[7,5,4,2,3,6,8,1]=>1110001 [[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[7,5,3,2,4,6,8,1]=>1110001 [[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[7,5,2,3,4,6,8,1]=>1100001 [[[.,[[[.,.],[[.,.],.]],.]],.],.]=>[4,5,2,3,6,1,7,8]=>[7,4,5,2,3,6,8,1]=>1010001 [[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[7,4,3,5,2,6,8,1]=>1101001 [[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[7,4,3,2,5,6,8,1]=>1110001 [[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[3,4,2,5,6,1,7,8]=>[7,4,2,3,5,6,8,1]=>1100001 [[[.,[[[[.,[.,.]],.],.],.]],.],.]=>[3,2,4,5,6,1,7,8]=>[7,3,2,4,5,6,8,1]=>1100001 [[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[7,2,3,4,5,6,8,1]=>1000001 [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[6,5,4,3,1,2,7,8]=>[6,7,5,4,3,2,8,1]=>0111101 [[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[6,7,5,4,2,3,8,1]=>0111001 [[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[6,7,5,3,2,4,8,1]=>0111001 [[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[6,5,3,4,1,2,7,8]=>[6,7,4,5,3,2,8,1]=>0101101 [[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[6,7,4,5,2,3,8,1]=>0101001 [[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[6,7,4,3,2,5,8,1]=>0111001 [[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[4,3,5,6,1,2,7,8]=>[6,7,3,2,4,5,8,1]=>0110001 [[[[.,.],[[[[.,.],.],.],.]],.],.]=>[3,4,5,6,1,2,7,8]=>[6,7,2,3,4,5,8,1]=>0100001 [[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[6,5,4,2,1,3,7,8]=>[6,5,7,4,3,2,8,1]=>1011101 [[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[6,5,7,4,2,3,8,1]=>1011001 [[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[6,4,5,2,1,3,7,8]=>[6,5,7,3,4,2,8,1]=>1010101 [[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[6,5,7,3,2,4,8,1]=>1011001 [[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[6,5,4,1,2,3,7,8]=>[5,6,7,4,3,2,8,1]=>0011101 [[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[5,6,4,1,2,3,7,8]=>[5,6,7,4,2,3,8,1]=>0011001 [[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[6,4,5,1,2,3,7,8]=>[5,6,7,3,4,2,8,1]=>0010101 [[[[[.,.],.],[[[.,.],.],.]],.],.]=>[4,5,6,1,2,3,7,8]=>[5,6,7,2,3,4,8,1]=>0010001 [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[6,5,3,2,1,4,7,8]=>[6,5,4,7,3,2,8,1]=>1101101 [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[6,5,4,7,2,3,8,1]=>1101001 [[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[6,5,2,3,1,4,7,8]=>[6,4,5,7,3,2,8,1]=>1001101 [[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[5,6,2,3,1,4,7,8]=>[6,4,5,7,2,3,8,1]=>1001001 [[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[5,6,3,1,2,4,7,8]=>[5,6,4,7,2,3,8,1]=>0101001 [[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[5,6,2,1,3,4,7,8]=>[5,4,6,7,2,3,8,1]=>1001001 [[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[4,5,6,7,3,2,8,1]=>0001101 [[[[[[.,.],.],.],[[.,.],.]],.],.]=>[5,6,1,2,3,4,7,8]=>[4,5,6,7,2,3,8,1]=>0001001 [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[6,5,4,3,7,2,8,1]=>1110101 [[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[6,3,4,2,1,5,7,8]=>[6,5,3,4,7,2,8,1]=>1100101 [[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[6,4,2,3,1,5,7,8]=>[6,4,5,3,7,2,8,1]=>1010101 [[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[6,3,2,4,1,5,7,8]=>[6,4,3,5,7,2,8,1]=>1100101 [[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[6,2,3,4,1,5,7,8]=>[6,3,4,5,7,2,8,1]=>1000101 [[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[6,3,4,1,2,5,7,8]=>[5,6,3,4,7,2,8,1]=>0100101 [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[5,4,6,3,7,2,8,1]=>1010101 [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[6,4,1,2,3,5,7,8]=>[4,5,6,3,7,2,8,1]=>0010101 [[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[6,3,2,1,4,5,7,8]=>[5,4,3,6,7,2,8,1]=>1100101 [[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[6,3,1,2,4,5,7,8]=>[4,5,3,6,7,2,8,1]=>0100101 [[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[6,2,1,3,4,5,7,8]=>[4,3,5,6,7,2,8,1]=>1000101 [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>[3,4,5,6,7,2,8,1]=>0000101 [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,1]=>1111001 [[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[6,5,4,2,3,7,8,1]=>1110001 [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[6,5,3,4,2,7,8,1]=>1101001 [[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[6,5,3,2,4,7,8,1]=>1110001 [[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[6,5,2,3,4,7,8,1]=>1100001 [[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[6,4,5,2,3,7,8,1]=>1010001 [[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[6,3,4,5,2,7,8,1]=>1001001 [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[6,2,3,4,5,7,8,1]=>1000001 [[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[4,5,3,1,2,6,7,8]=>[5,6,4,2,3,7,8,1]=>0110001 [[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[5,4,6,3,2,7,8,1]=>1011001 [[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[4,5,2,1,3,6,7,8]=>[5,4,6,2,3,7,8,1]=>1010001 [[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[4,5,6,3,2,7,8,1]=>0011001 [[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[4,5,6,2,3,7,8,1]=>0010001 [[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[5,4,3,6,2,7,8,1]=>1101001 [[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[4,3,5,6,2,7,8,1]=>1001001 [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[3,4,5,6,2,7,8,1]=>0001001 [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[5,4,3,2,6,7,8,1]=>1110001 [[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[5,4,2,3,6,7,8,1]=>1100001 [[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[5,3,4,2,6,7,8,1]=>1010001 [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[5,3,2,4,6,7,8,1]=>1100001 [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[5,2,3,4,6,7,8,1]=>1000001 [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[4,5,3,2,6,7,8,1]=>0110001 [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[4,5,2,3,6,7,8,1]=>0100001 [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[4,3,5,2,6,7,8,1]=>1010001 [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[3,4,5,2,6,7,8,1]=>0010001 [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>1100001 [[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>1000001 [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>0100001 [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>1000001 [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>0000001 [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[1,9,8,7,6,5,4,3,2]=>01111111 [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[1,9,8,7,6,5,4,2,3]=>01111110 [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[1,9,8,7,6,5,2,3,4]=>01111100 [.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[1,9,2,3,4,5,6,7,8]=>01000000 [.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>00000000 [[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>00000001 [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,4,3,2]=>011111111 [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,4,2,3]=>011111110 [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[1,10,9,8,7,2,3,4,5,6]=>011110000 [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[4,5,6,7,8,9,2,3,1]=>[1,8,9,2,3,4,5,6,7]=>00100000 [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[1,10,2,3,4,5,6,7,8,9]=>010000000 [[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,1,2]=>[9,1,2,3,4,5,6,7,8]=>10000000 [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>000000000 [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>000000001 [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[1,9,8,7,6,5,3,2,4]=>01111110 [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[1,9,8,7,6,4,3,2,5]=>01111110 [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[1,9,8,7,5,4,3,2,6]=>01111110 [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[1,9,8,6,5,4,3,2,7]=>01111110 [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[1,9,7,6,5,4,3,2,8]=>01111110 [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[1,8,7,6,5,4,3,2,9]=>01111110 [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,1]=>11111111 [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,3,2,4]=>011111110 [.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>[8,6,7,9,5,4,3,2,1]=>[1,9,8,7,6,3,4,2,5]=>01111010 [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[1,10,9,8,7,6,4,3,2,5]=>011111110 [.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>[8,7,5,6,9,4,3,2,1]=>[1,9,8,7,4,5,3,2,6]=>01110110 [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[1,10,9,8,7,5,4,3,2,6]=>011111110 [.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>[8,7,6,4,5,9,3,2,1]=>[1,9,8,5,6,4,3,2,7]=>01101110 [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[1,10,9,8,6,5,4,3,2,7]=>011111110 [.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>[8,7,6,5,3,4,9,2,1]=>[1,9,6,7,5,4,3,2,8]=>01011110 [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[1,10,9,7,6,5,4,3,2,8]=>011111110 [.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>[8,7,6,5,4,2,3,9,1]=>[1,7,8,6,5,4,3,2,9]=>00111110 [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[1,10,8,7,6,5,4,3,2,9]=>011111110 [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[8,7,6,5,4,3,1,2,9]=>[8,9,7,6,5,4,3,2,1]=>01111111 [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[1,9,8,7,6,5,4,3,2,10]=>011111110 [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,3,2,1]=>111111111 [[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[9,10,7,8,5,6,3,4,1,2]=>[10,1,8,9,6,7,4,5,2,3]=>100101010 [[.,[[.,.],[[.,.],[[.,.],.]]]],[[.,.],.]]=>[9,10,6,7,4,5,2,3,1,8]=>[10,8,9,6,7,4,5,1,2,3]=>101010100 [[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]=>[8,9,6,7,4,5,2,3,1,10]=>[10,8,9,6,7,4,5,2,3,1]=>101010101 [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[10,8,6,4,2,3,5,7,9,1]=>[1,6,7,5,8,4,9,3,10,2]=>001010101 [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[9,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,1,2]=>00000010 [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[10,1,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,1,2]=>000000010 [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[9,2,1,3,4,5,6,7,8]=>[4,3,5,6,7,8,9,1,2]=>10000010 [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[1,3,2,4,5,6,7,8,9]=>01000000 [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[11,1,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,1,2]=>0000000010 [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[10,2,1,3,4,5,6,7,8,9]=>[4,3,5,6,7,8,9,10,1,2]=>100000010 [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[9,3,1,2,4,5,6,7,8]=>[4,5,3,6,7,8,9,1,2]=>01000010 [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[9,2,3,1,4,5,6,7,8]=>[5,3,4,6,7,8,9,1,2]=>10000010 [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[4,2,3,5,6,7,8,9,1]=>[1,3,4,2,5,6,7,8,9]=>00100000 [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[1,4,2,3,5,6,7,8,9]=>01000000 [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[1,3,2,4,5,6,7,8,9,10]=>010000000 [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>0000000000 [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[8,9,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,1,2,3]=>00000100 [[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[7,8,9,1,2,3,4,5,6]=>[5,6,7,8,9,1,2,3,4]=>00001000 [[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[6,7,8,9,1,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>00010000 [[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[5,6,7,8,9,1,2,3,4]=>[7,8,9,1,2,3,4,5,6]=>00100000 [[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,1,2,3]=>[8,9,1,2,3,4,5,6,7]=>01000000 [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[9,8,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,1,3,2]=>00000101 [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[9,10,1,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,1,2,3]=>000000100 [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[8,9,10,1,2,3,4,5,6,7]=>[5,6,7,8,9,10,1,2,3,4]=>000001000 [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[7,8,9,10,1,2,3,4,5,6]=>[6,7,8,9,10,1,2,3,4,5]=>000010000 [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[6,7,8,9,10,1,2,3,4,5]=>[7,8,9,10,1,2,3,4,5,6]=>000100000 [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[5,6,7,8,9,10,1,2,3,4]=>[8,9,10,1,2,3,4,5,6,7]=>001000000 [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[4,3,5,6,7,8,9,1,2]=>[9,1,3,2,4,5,6,7,8]=>10100000 [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[4,5,6,7,8,9,10,1,2,3]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,10,1,2]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,3,1,2]=>[9,1,8,7,6,5,4,3,2]=>10111111 [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,2,3,1]=>11111101 [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,3,1,2]=>[10,1,9,8,7,6,5,4,3,2]=>101111111 [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>1111111111 [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,2,3,1]=>111111101 [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[9,8,7,6,5,3,2,4,1]=>11111101 [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>[8,6,7,5,4,3,2,1,9]=>[9,8,7,6,5,3,4,2,1]=>11111011 [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[11,10,9,8,7,6,5,4,3,1,2]=>[11,1,10,9,8,7,6,5,4,3,2]=>1011111111 [.,[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]]=>[8,9,6,7,4,5,2,3,10,1]=>[1,8,9,6,7,4,5,2,3,10]=>001010100 [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,2,1,3]=>[9,8,1,7,6,5,4,3,2]=>11011111 [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,3,2,1,4]=>[9,8,7,1,6,5,4,3,2]=>11101111 [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,4,3,2,1,5]=>[9,8,7,6,1,5,4,3,2]=>11110111 [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[9,8,7,5,4,3,2,1,6]=>[9,8,7,6,5,1,4,3,2]=>11111011 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[9,8,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,1,3,2]=>11111101 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[9,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,1,2]=>11111110 [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,1,2,3]=>[8,9,1,7,6,5,4,3,2]=>01011111 [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,2,1,3]=>[10,9,1,8,7,6,5,4,3,2]=>110111111 [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,3,2,1,4]=>[10,9,8,1,7,6,5,4,3,2]=>111011111 [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[10,9,8,7,6,4,3,2,1,5]=>[10,9,8,7,1,6,5,4,3,2]=>111101111 [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[10,9,8,7,5,4,3,2,1,6]=>[10,9,8,7,6,1,5,4,3,2]=>111110111 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[10,9,8,6,5,4,3,2,1,7]=>[10,9,8,7,6,5,1,4,3,2]=>111111011 [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>[9,6,7,5,4,3,2,1,8]=>[9,8,7,6,5,3,4,1,2]=>11111010 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[10,9,7,6,5,4,3,2,1,8]=>[10,9,8,7,6,5,4,1,3,2]=>111111101 [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[10,8,7,6,5,4,3,2,1,9]=>[10,9,8,7,6,5,4,3,1,2]=>111111110 [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[8,7,6,5,4,3,2,9,1]=>11111101 [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[7,6,5,4,3,2,8,9,1]=>11111001 [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[6,5,4,3,2,7,8,9,1]=>11110001 [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[5,4,3,2,6,7,8,9,1]=>11100001 [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[4,3,2,5,6,7,8,9,1]=>11000001 [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,1]=>10000001 [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[9,8,7,6,5,4,3,2,10,1]=>111111101 [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[8,7,6,5,4,3,2,9,10,1]=>111111001 [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>[7,6,5,4,3,1,2,8,9]=>[7,8,6,5,4,3,2,9,1]=>01111101 [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[7,6,5,4,3,2,8,9,10,1]=>111110001 [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[6,5,4,3,2,7,8,9,10,1]=>111100001 [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[5,4,3,2,6,7,8,9,10,1]=>111000001 [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[4,3,2,5,6,7,8,9,10,1]=>110000001 [[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[3,1,2,4,5,6,7,8,9]=>[3,4,2,5,6,7,8,9,1]=>01000001 [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,1]=>100000001 [.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]=>[9,8,7,5,6,4,3,2,1]=>[1,9,8,7,5,6,4,3,2]=>01110111 [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,2,3,1]=>[1,8,9,7,6,5,4,3,2]=>00111111 [.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[10,9,8,6,7,5,4,3,2,1]=>[1,10,9,8,7,5,6,4,3,2]=>011110111 [.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,5,6,4,3,2,1]=>[1,10,9,8,6,7,5,4,3,2]=>011101111 [.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,2,3,1]=>[1,9,10,8,7,6,5,4,3,2]=>001111111 [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[9,2,3,4,5,6,7,8,1]=>[1,3,4,5,6,7,8,9,2]=>00000001 [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[3,2,4,5,6,7,8,9,10,11,1]=>1000000001 [[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>[8,9,2,1,3,4,5,6,7]=>[5,4,6,7,8,9,1,2,3]=>10000100 [.,[[[[[[[.,.],.],.],.],.],[.,.]],.]]=>[8,2,3,4,5,6,7,9,1]=>[1,3,4,5,6,7,8,2,9]=>00000010 [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[8,9,2,3,4,5,6,7,1]=>[1,4,5,6,7,8,9,2,3]=>00000010 [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[10,2,3,4,5,6,7,8,9,1]=>[1,3,4,5,6,7,8,9,10,2]=>000000001 [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[8,6,5,4,3,2,1,7,9]=>[8,7,6,5,4,3,9,2,1]=>11111011 [.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,2,9,1]=>[1,8,2,3,4,5,6,7,9]=>01000000 [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[9,2,3,4,5,6,7,8,1]=>10000001 [[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[4,2,3,5,6,7,8,9,1]=>10000001 [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[8,2,3,4,5,6,7,9,1]=>10000001 [[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>[8,2,3,4,5,6,7,1,9]=>[9,3,4,5,6,7,8,2,1]=>10000011 [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[10,2,3,4,5,6,7,8,9,1]=>100000001 [[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[7,1,2,3,4,5,6,8,9]=>[3,4,5,6,7,8,2,9,1]=>00000101 [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[8,1,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,9,2,1]=>00000011 [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[5,1,2,3,4,6,7,8,9,10]=>[3,4,5,6,2,7,8,9,10,1]=>000100001 [[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[8,1,2,3,4,5,6,7,9,10]=>[3,4,5,6,7,8,9,2,10,1]=>000000101 [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[9,1,2,3,4,5,6,7,8,10]=>[3,4,5,6,7,8,9,10,2,1]=>000000011 [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[9,3,4,5,6,7,8,1,2]=>[9,1,3,4,5,6,7,8,2]=>10000001 [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[9,7,6,5,4,3,1,2,8]=>[8,9,7,6,5,4,3,1,2]=>01111110 [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>[8,9,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,1,2,3]=>11111100 [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>0000000001 [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,1,2,3]=>[9,10,1,8,7,6,5,4,3,2]=>010111111 [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[8,7,6,5,4,2,1,3,9]=>[8,7,9,6,5,4,3,2,1]=>10111111 [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[9,8,7,6,5,4,3,1,2,10]=>[9,10,8,7,6,5,4,3,2,1]=>011111111 [.,[[[[[.,.],.],.],.],[[[.,.],.],.]]]=>[7,8,9,2,3,4,5,6,1]=>[1,5,6,7,8,9,2,3,4]=>00000100 [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,2,1,3]=>[9,8,1,2,3,4,5,6,7]=>11000000 [[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[3,4,5,6,7,8,1,2,9]=>[8,9,2,3,4,5,6,7,1]=>01000001 [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[10,9,1,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,1,3,2]=>000000101 [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>[6,7,8,5,4,3,2,1,9]=>[9,8,7,6,5,2,3,4,1]=>11111001 [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[9,8,7,1,2,3,4,5,6]=>[5,6,7,8,9,1,4,3,2]=>00001011 [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,1,2,3,4,5]=>[6,7,8,9,1,5,4,3,2]=>00010111 [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,1,2,3,4]=>[7,8,9,1,6,5,4,3,2]=>00101111 [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[9,7,1,2,3,4,5,6,8]=>[4,5,6,7,8,9,3,1,2]=>00000110 [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[10,9,8,1,2,3,4,5,6,7]=>[5,6,7,8,9,10,1,4,3,2]=>000001011 [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[10,9,8,7,1,2,3,4,5,6]=>[6,7,8,9,10,1,5,4,3,2]=>000010111 [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[10,9,8,7,6,1,2,3,4,5]=>[7,8,9,10,1,6,5,4,3,2]=>000101111 [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,1,2,3,4]=>[8,9,10,1,7,6,5,4,3,2]=>001011111 [[[[[[.,[.,[[.,.],.]]],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9]=>[5,4,2,3,6,7,8,9,1]=>11000001 [[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>[7,6,5,4,3,2,8,1,9]=>[9,7,6,5,4,3,2,8,1]=>11111101 [[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.]=>[6,5,4,3,2,7,1,8,9]=>[8,6,5,4,3,2,7,9,1]=>11111001 [[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.]=>[4,5,3,2,1,6,7,8,9]=>[6,5,4,2,3,7,8,9,1]=>11100001 [[[[[.,[.,[.,[.,.]]]],.],.],.],[.,.]]=>[9,4,3,2,1,5,6,7,8]=>[6,5,4,3,7,8,9,1,2]=>11100010 [[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>[8,7,1,2,3,4,5,6,9]=>[4,5,6,7,8,9,3,2,1]=>00000111 [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[9,3,2,4,5,6,7,8,1]=>11000001 [[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>[8,7,5,4,3,2,1,6,9]=>[8,7,6,5,4,9,3,2,1]=>11110111 [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]=>[9,7,6,5,4,3,2,1,8,10]=>[9,8,7,6,5,4,3,10,2,1]=>111111011 [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[8,7,6,5,4,2,3,1,9]=>[9,7,8,6,5,4,3,2,1]=>10111111 [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[9,2,3,4,5,6,7,1,8]=>[9,3,4,5,6,7,8,1,2]=>10000010 [[.,[.,.]],[[.,.],[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,4,5,2,1,3]=>[9,8,1,6,7,5,4,3,2]=>11001111 [[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[3,4,1,2,5,6,7,8,9]=>[4,5,2,3,6,7,8,9,1]=>01000001 [[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]],.]=>[8,6,5,4,3,2,7,1,9]=>[9,7,6,5,4,3,8,2,1]=>11111011 [.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,9,2,10,1]=>[1,9,2,3,4,5,6,7,8,10]=>010000000 [[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]]=>[9,3,4,5,6,7,2,1,8]=>[9,8,3,4,5,6,7,1,2]=>11000010 [.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]]=>[4,5,6,7,8,9,10,2,3,1]=>[1,9,10,2,3,4,5,6,7,8]=>001000000 [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[8,7,6,5,4,1,2,3,9]=>[7,8,9,6,5,4,3,2,1]=>00111111 [[[[[.,.],.],.],[.,[.,[.,[.,.]]]]],.]=>[8,7,6,5,1,2,3,4,9]=>[6,7,8,9,5,4,3,2,1]=>00011111 [[[[[[.,.],.],.],.],[.,[.,[.,.]]]],.]=>[8,7,6,1,2,3,4,5,9]=>[5,6,7,8,9,4,3,2,1]=>00001111 [.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]=>[9,8,2,3,4,5,6,7,1]=>[1,4,5,6,7,8,9,3,2]=>00000011 [.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]]=>[10,9,2,3,4,5,6,7,8,1]=>[1,4,5,6,7,8,9,10,3,2]=>000000011 [[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]=>[3,4,5,6,7,8,2,1,9]=>[9,8,2,3,4,5,6,7,1]=>11000001 [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[10,8,7,6,5,4,3,1,2,9]=>[9,10,8,7,6,5,4,3,1,2]=>011111110 [.,[.,[[[[[[.,.],.],.],.],.],[.,.]]]]=>[9,3,4,5,6,7,8,2,1]=>[1,9,3,4,5,6,7,8,2]=>01000001
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
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.