Identifier
Mp00017: Binary trees to 312-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 [[.,.],[.,.]]=>[1,3,2]=>[2,1,3]=>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 [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,2,4,3]=>001 [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,3,2,4]=>010 [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,3,4]=>000 [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[2,1,4,3]=>101 [[.,.],[[.,.],.]]=>[1,3,4,2]=>[2,1,3,4]=>100 [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[3,2,1,4]=>110 [[[.,.],.],[.,.]]=>[1,2,4,3]=>[2,3,1,4]=>010 [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,3,2,1]=>111 [[.,[[.,.],.]],.]=>[2,3,1,4]=>[4,2,3,1]=>101 [[[.,.],[.,.]],.]=>[1,3,2,4]=>[2,4,3,1]=>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 [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[1,5,2,4,3]=>0101 [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,5,3,2,4]=>0110 [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,5,2,3,4]=>0100 [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,2,5,4,3]=>0011 [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,2,5,3,4]=>0010 [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[1,3,2,5,4]=>0101 [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,2,3,5,4]=>0001 [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,4,3,2,5]=>0110 [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,4,2,3,5]=>0100 [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,2,4,3,5]=>0010 [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,3,2,4,5]=>0100 [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,4,5]=>0000 [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[2,1,5,4,3]=>1011 [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[2,1,5,3,4]=>1010 [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[2,1,3,5,4]=>1001 [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[2,1,4,3,5]=>1010 [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[2,1,3,4,5]=>1000 [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[3,2,1,5,4]=>1101 [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[3,2,1,4,5]=>1100 [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[2,3,1,5,4]=>0101 [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[2,3,1,4,5]=>0100 [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[4,3,2,1,5]=>1110 [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[4,2,3,1,5]=>1010 [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[2,4,3,1,5]=>0110 [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[3,2,4,1,5]=>1010 [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[2,3,4,1,5]=>0010 [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,4,3,2,1]=>1111 [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[5,4,2,3,1]=>1101 [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[5,2,4,3,1]=>1011 [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[5,3,2,4,1]=>1101 [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[5,2,3,4,1]=>1001 [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[2,5,4,3,1]=>0111 [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[2,5,3,4,1]=>0101 [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[3,2,5,4,1]=>1011 [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[2,3,5,4,1]=>0011 [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[4,3,2,5,1]=>1101 [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[4,2,3,5,1]=>1001 [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[2,4,3,5,1]=>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 [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[1,6,5,2,4,3]=>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 [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[1,6,2,5,4,3]=>01011 [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[1,6,2,5,3,4]=>01010 [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[1,6,3,2,5,4]=>01101 [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[1,6,2,3,5,4]=>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 [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[1,6,2,4,3,5]=>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 [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,2,6,5,4,3]=>00111 [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,2,6,5,3,4]=>00110 [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,2,6,3,5,4]=>00101 [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,2,6,4,3,5]=>00110 [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,2,6,3,4,5]=>00100 [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[1,3,2,6,5,4]=>01011 [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[1,3,2,6,4,5]=>01010 [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,2,3,6,5,4]=>00011 [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,2,3,6,4,5]=>00010 [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[1,4,3,2,6,5]=>01101 [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[1,4,2,3,6,5]=>01001 [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>00101 [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[1,3,2,4,6,5]=>01001 [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>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 [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[1,5,2,4,3,6]=>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 [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,2,5,4,3,6]=>00110 [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,2,5,3,4,6]=>00100 [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[1,3,2,5,4,6]=>01010 [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>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 [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>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 [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>10111 [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[2,1,6,5,3,4]=>10110 [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[2,1,6,3,5,4]=>10101 [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[2,1,6,4,3,5]=>10110 [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[2,1,6,3,4,5]=>10100 [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>10011 [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[2,1,3,6,4,5]=>10010 [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>10101 [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>10001 [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>10110 [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[2,1,5,3,4,6]=>10100 [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>10010 [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>10100 [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>10000 [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[3,2,1,6,5,4]=>11011 [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[3,2,1,6,4,5]=>11010 [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[3,2,1,4,6,5]=>11001 [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[3,2,1,5,4,6]=>11010 [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[3,2,1,4,5,6]=>11000 [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>01011 [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>01010 [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>01001 [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>01010 [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>01000 [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[4,3,2,1,6,5]=>11101 [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[4,3,2,1,5,6]=>11100 [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[4,2,3,1,6,5]=>10101 [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[4,2,3,1,5,6]=>10100 [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>01101 [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>01100 [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[3,2,4,1,6,5]=>10101 [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[3,2,4,1,5,6]=>10100 [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>00101 [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>00100 [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>11110 [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[5,4,2,3,1,6]=>11010 [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[5,2,4,3,1,6]=>10110 [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[5,3,2,4,1,6]=>11010 [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[5,2,3,4,1,6]=>10010 [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>01110 [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>01010 [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>10110 [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>00110 [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>11010 [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[4,2,3,5,1,6]=>10010 [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>01010 [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>10010 [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>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 [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[6,5,2,4,3,1]=>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 [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[6,2,5,4,3,1]=>10111 [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[6,2,5,3,4,1]=>10101 [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[6,3,2,5,4,1]=>11011 [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[6,2,3,5,4,1]=>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 [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[6,2,4,3,5,1]=>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 [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>01111 [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>01101 [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>01011 [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>01101 [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>01001 [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>10111 [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[3,2,6,4,5,1]=>10101 [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>00111 [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>00101 [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>11011 [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[4,2,3,6,5,1]=>10011 [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>01011 [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>10011 [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>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 [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[5,2,4,3,6,1]=>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 [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>01101 [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>01001 [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>10101 [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>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 [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>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 [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[1,7,6,5,2,4,3]=>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 [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[1,7,6,2,5,4,3]=>011011 [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[1,7,6,2,5,3,4]=>011010 [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[1,7,6,3,2,5,4]=>011101 [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[1,7,6,2,3,5,4]=>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 [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[1,7,6,2,4,3,5]=>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 [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[1,7,2,6,5,4,3]=>010111 [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[1,7,2,6,5,3,4]=>010110 [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[1,7,2,6,3,5,4]=>010101 [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[1,7,2,6,4,3,5]=>010110 [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[1,7,2,6,3,4,5]=>010100 [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[1,7,3,2,6,5,4]=>011011 [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[1,7,3,2,6,4,5]=>011010 [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[1,7,2,3,6,5,4]=>010011 [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[1,7,2,3,6,4,5]=>010010 [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[1,7,4,3,2,6,5]=>011101 [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[1,7,4,2,3,6,5]=>011001 [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[1,7,2,4,3,6,5]=>010101 [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[1,7,3,2,4,6,5]=>011001 [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[1,7,2,3,4,6,5]=>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 [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[1,7,5,2,4,3,6]=>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 [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[1,7,2,5,4,3,6]=>010110 [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[1,7,2,5,3,4,6]=>010100 [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[1,7,3,2,5,4,6]=>011010 [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[1,7,2,3,5,4,6]=>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 [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[1,7,2,4,3,5,6]=>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 [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,2,7,6,5,4,3]=>001111 [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,3,4]=>001110 [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,2,7,6,3,5,4]=>001101 [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,2,7,6,4,3,5]=>001110 [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,2,7,6,3,4,5]=>001100 [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,2,7,3,6,5,4]=>001011 [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,2,7,3,6,4,5]=>001010 [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,2,7,4,3,6,5]=>001101 [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,2,7,3,4,6,5]=>001001 [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,2,7,5,4,3,6]=>001110 [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,2,7,5,3,4,6]=>001100 [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,2,7,3,5,4,6]=>001010 [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,2,7,4,3,5,6]=>001100 [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,2,7,3,4,5,6]=>001000 [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[1,3,2,7,6,5,4]=>010111 [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[1,3,2,7,6,4,5]=>010110 [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[1,3,2,7,4,6,5]=>010101 [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[1,3,2,7,5,4,6]=>010110 [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[1,3,2,7,4,5,6]=>010100 [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,2,3,7,6,5,4]=>000111 [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,4,5]=>000110 [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,2,3,7,4,6,5]=>000101 [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,2,3,7,5,4,6]=>000110 [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,2,3,7,4,5,6]=>000100 [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[1,4,3,2,7,6,5]=>011011 [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[1,4,3,2,7,5,6]=>011010 [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[1,4,2,3,7,6,5]=>010011 [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[1,4,2,3,7,5,6]=>010010 [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,2,4,3,7,6,5]=>001011 [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,2,4,3,7,5,6]=>001010 [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[1,3,2,4,7,6,5]=>010011 [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[1,3,2,4,7,5,6]=>010010 [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,6,5]=>000011 [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,5,6]=>000010 [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[1,5,4,3,2,7,6]=>011101 [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[1,5,4,2,3,7,6]=>011001 [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[1,5,2,4,3,7,6]=>010101 [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[1,5,3,2,4,7,6]=>011001 [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[1,5,2,3,4,7,6]=>010001 [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,2,5,4,3,7,6]=>001101 [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,2,5,3,4,7,6]=>001001 [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[1,3,2,5,4,7,6]=>010101 [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>000101 [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[1,4,3,2,5,7,6]=>011001 [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[1,4,2,3,5,7,6]=>010001 [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>001001 [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[1,3,2,4,5,7,6]=>010001 [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>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 [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[1,6,5,2,4,3,7]=>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 [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[1,6,2,5,4,3,7]=>010110 [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[1,6,2,5,3,4,7]=>010100 [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[1,6,3,2,5,4,7]=>011010 [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[1,6,2,3,5,4,7]=>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 [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[1,6,2,4,3,5,7]=>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 [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,2,6,5,4,3,7]=>001110 [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,2,6,5,3,4,7]=>001100 [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,2,6,3,5,4,7]=>001010 [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,2,6,4,3,5,7]=>001100 [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,2,6,3,4,5,7]=>001000 [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[1,3,2,6,5,4,7]=>010110 [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[1,3,2,6,4,5,7]=>010100 [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,2,3,6,5,4,7]=>000110 [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,2,3,6,4,5,7]=>000100 [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[1,4,3,2,6,5,7]=>011010 [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[1,4,2,3,6,5,7]=>010010 [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>001010 [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[1,3,2,4,6,5,7]=>010010 [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>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 [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[1,5,2,4,3,6,7]=>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 [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,2,5,4,3,6,7]=>001100 [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,2,5,3,4,6,7]=>001000 [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[1,3,2,5,4,6,7]=>010100 [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>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 [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>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 [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]=>101111 [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[2,1,7,6,5,3,4]=>101110 [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[2,1,7,6,3,5,4]=>101101 [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[2,1,7,6,4,3,5]=>101110 [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[2,1,7,6,3,4,5]=>101100 [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[2,1,7,3,6,5,4]=>101011 [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[2,1,7,3,6,4,5]=>101010 [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[2,1,7,4,3,6,5]=>101101 [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[2,1,7,3,4,6,5]=>101001 [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[2,1,7,5,4,3,6]=>101110 [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[2,1,7,5,3,4,6]=>101100 [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[2,1,7,3,5,4,6]=>101010 [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[2,1,7,4,3,5,6]=>101100 [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[2,1,7,3,4,5,6]=>101000 [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[2,1,3,7,6,5,4]=>100111 [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[2,1,3,7,6,4,5]=>100110 [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[2,1,3,7,4,6,5]=>100101 [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[2,1,3,7,5,4,6]=>100110 [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[2,1,3,7,4,5,6]=>100100 [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[2,1,4,3,7,6,5]=>101011 [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[2,1,4,3,7,5,6]=>101010 [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[2,1,3,4,7,6,5]=>100011 [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[2,1,3,4,7,5,6]=>100010 [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[2,1,5,4,3,7,6]=>101101 [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[2,1,5,3,4,7,6]=>101001 [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[2,1,3,5,4,7,6]=>100101 [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[2,1,4,3,5,7,6]=>101001 [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[2,1,3,4,5,7,6]=>100001 [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[2,1,6,5,4,3,7]=>101110 [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[2,1,6,5,3,4,7]=>101100 [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[2,1,6,3,5,4,7]=>101010 [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[2,1,6,4,3,5,7]=>101100 [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[2,1,6,3,4,5,7]=>101000 [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[2,1,3,6,5,4,7]=>100110 [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[2,1,3,6,4,5,7]=>100100 [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[2,1,4,3,6,5,7]=>101010 [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[2,1,3,4,6,5,7]=>100010 [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[2,1,5,4,3,6,7]=>101100 [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[2,1,5,3,4,6,7]=>101000 [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[2,1,3,5,4,6,7]=>100100 [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[2,1,4,3,5,6,7]=>101000 [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[2,1,3,4,5,6,7]=>100000 [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[3,2,1,7,6,5,4]=>110111 [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[3,2,1,7,6,4,5]=>110110 [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[3,2,1,7,4,6,5]=>110101 [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[3,2,1,7,5,4,6]=>110110 [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[3,2,1,7,4,5,6]=>110100 [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[3,2,1,4,7,6,5]=>110011 [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[3,2,1,4,7,5,6]=>110010 [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[3,2,1,5,4,7,6]=>110101 [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[3,2,1,4,5,7,6]=>110001 [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[3,2,1,6,5,4,7]=>110110 [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[3,2,1,6,4,5,7]=>110100 [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[3,2,1,4,6,5,7]=>110010 [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[3,2,1,5,4,6,7]=>110100 [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[3,2,1,4,5,6,7]=>110000 [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>010111 [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>010110 [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>010101 [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>010110 [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>010100 [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>010011 [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>010010 [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>010101 [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>010001 [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>010110 [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>010100 [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>010010 [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>010100 [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>010000 [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[4,3,2,1,7,6,5]=>111011 [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[4,3,2,1,7,5,6]=>111010 [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[4,3,2,1,5,7,6]=>111001 [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[4,3,2,1,6,5,7]=>111010 [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[4,3,2,1,5,6,7]=>111000 [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[4,2,3,1,7,6,5]=>101011 [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[4,2,3,1,7,5,6]=>101010 [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[4,2,3,1,5,7,6]=>101001 [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[4,2,3,1,6,5,7]=>101010 [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[4,2,3,1,5,6,7]=>101000 [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>011011 [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>011010 [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>011001 [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>011010 [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>011000 [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[3,2,4,1,7,6,5]=>101011 [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[3,2,4,1,7,5,6]=>101010 [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[3,2,4,1,5,7,6]=>101001 [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[3,2,4,1,6,5,7]=>101010 [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[3,2,4,1,5,6,7]=>101000 [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>001011 [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>001010 [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>001001 [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>001010 [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>001000 [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,7,6]=>111101 [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[5,4,3,2,1,6,7]=>111100 [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[5,4,2,3,1,7,6]=>110101 [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[5,4,2,3,1,6,7]=>110100 [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[5,2,4,3,1,7,6]=>101101 [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[5,2,4,3,1,6,7]=>101100 [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[5,3,2,4,1,7,6]=>110101 [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[5,3,2,4,1,6,7]=>110100 [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[5,2,3,4,1,7,6]=>100101 [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[5,2,3,4,1,6,7]=>100100 [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>011101 [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>011100 [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>010101 [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>010100 [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,7,6]=>101101 [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[3,2,5,4,1,6,7]=>101100 [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>001101 [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>001100 [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,7,6]=>110101 [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[4,3,2,5,1,6,7]=>110100 [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[4,2,3,5,1,7,6]=>100101 [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[4,2,3,5,1,6,7]=>100100 [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>010101 [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>010100 [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,7,6]=>100101 [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[3,2,4,5,1,6,7]=>100100 [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>000101 [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>000100 [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>111110 [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[6,5,4,2,3,1,7]=>111010 [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[6,5,2,4,3,1,7]=>110110 [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[6,5,3,2,4,1,7]=>111010 [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[6,5,2,3,4,1,7]=>110010 [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[6,2,5,4,3,1,7]=>101110 [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[6,2,5,3,4,1,7]=>101010 [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[6,3,2,5,4,1,7]=>110110 [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[6,2,3,5,4,1,7]=>100110 [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[6,4,3,2,5,1,7]=>111010 [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[6,4,2,3,5,1,7]=>110010 [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[6,2,4,3,5,1,7]=>101010 [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[6,3,2,4,5,1,7]=>110010 [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[6,2,3,4,5,1,7]=>100010 [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>011110 [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>011010 [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>010110 [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>011010 [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>010010 [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>101110 [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[3,2,6,4,5,1,7]=>101010 [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>001110 [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>001010 [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>110110 [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[4,2,3,6,5,1,7]=>100110 [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>010110 [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>100110 [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>000110 [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>111010 [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[5,4,2,3,6,1,7]=>110010 [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[5,2,4,3,6,1,7]=>101010 [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[5,3,2,4,6,1,7]=>110010 [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[5,2,3,4,6,1,7]=>100010 [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>011010 [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>010010 [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>101010 [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>001010 [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>110010 [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[4,2,3,5,6,1,7]=>100010 [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>010010 [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>100010 [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>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 [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[7,6,5,2,4,3,1]=>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 [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[7,6,2,5,4,3,1]=>110111 [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[7,6,2,5,3,4,1]=>110101 [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[7,6,3,2,5,4,1]=>111011 [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[7,6,2,3,5,4,1]=>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 [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[7,6,2,4,3,5,1]=>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 [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[7,2,6,5,4,3,1]=>101111 [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[7,2,6,5,3,4,1]=>101101 [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[7,2,6,3,5,4,1]=>101011 [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[7,2,6,4,3,5,1]=>101101 [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[7,2,6,3,4,5,1]=>101001 [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[7,3,2,6,5,4,1]=>110111 [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[7,3,2,6,4,5,1]=>110101 [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[7,2,3,6,5,4,1]=>100111 [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[7,2,3,6,4,5,1]=>100101 [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[7,4,3,2,6,5,1]=>111011 [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[7,4,2,3,6,5,1]=>110011 [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[7,2,4,3,6,5,1]=>101011 [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[7,3,2,4,6,5,1]=>110011 [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[7,2,3,4,6,5,1]=>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 [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[7,5,2,4,3,6,1]=>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 [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[7,2,5,4,3,6,1]=>101101 [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[7,2,5,3,4,6,1]=>101001 [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[7,3,2,5,4,6,1]=>110101 [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[7,2,3,5,4,6,1]=>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 [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[7,2,4,3,5,6,1]=>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 [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>011111 [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>011101 [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>011011 [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>011101 [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>011001 [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>010111 [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>010101 [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>011011 [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>010011 [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>011101 [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>011001 [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>010101 [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>011001 [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>010001 [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,1]=>101111 [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[3,2,7,6,4,5,1]=>101101 [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[3,2,7,4,6,5,1]=>101011 [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[3,2,7,5,4,6,1]=>101101 [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[3,2,7,4,5,6,1]=>101001 [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>001111 [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>001101 [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>001011 [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>001101 [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>001001 [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[4,3,2,7,6,5,1]=>110111 [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[4,3,2,7,5,6,1]=>110101 [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[4,2,3,7,6,5,1]=>100111 [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[4,2,3,7,5,6,1]=>100101 [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>010111 [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>010101 [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[3,2,4,7,6,5,1]=>100111 [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[3,2,4,7,5,6,1]=>100101 [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>000111 [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>000101 [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[5,4,3,2,7,6,1]=>111011 [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[5,4,2,3,7,6,1]=>110011 [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[5,2,4,3,7,6,1]=>101011 [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[5,3,2,4,7,6,1]=>110011 [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[5,2,3,4,7,6,1]=>100011 [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>011011 [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>010011 [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,1]=>101011 [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>001011 [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1]=>110011 [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[4,2,3,5,7,6,1]=>100011 [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>010011 [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>100011 [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>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 [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[6,5,2,4,3,7,1]=>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 [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[6,2,5,4,3,7,1]=>101101 [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[6,2,5,3,4,7,1]=>101001 [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[6,3,2,5,4,7,1]=>110101 [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[6,2,3,5,4,7,1]=>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 [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[6,2,4,3,5,7,1]=>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 [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>011101 [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>011001 [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>010101 [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>011001 [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>010001 [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1]=>101101 [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[3,2,6,4,5,7,1]=>101001 [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>001101 [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>001001 [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1]=>110101 [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[4,2,3,6,5,7,1]=>100101 [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>010101 [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>100101 [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>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 [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[5,2,4,3,6,7,1]=>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 [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>011001 [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>010001 [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>101001 [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>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 [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>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 [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[1,8,7,6,5,2,4,3]=>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 [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[1,8,7,6,2,5,4,3]=>0111011 [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[6,5,8,7,4,3,2,1]=>[1,8,7,6,3,2,5,4]=>0111101 [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[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 [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[1,8,7,6,2,4,3,5]=>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 [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[1,8,7,2,6,5,4,3]=>0110111 [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[1,8,7,2,6,5,3,4]=>0110110 [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[1,8,7,2,6,3,5,4]=>0110101 [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[4,6,7,8,5,3,2,1]=>[1,8,7,2,6,3,4,5]=>0110100 [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[5,4,7,8,6,3,2,1]=>[1,8,7,3,2,6,4,5]=>0111010 [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[1,8,7,2,3,6,5,4]=>0110011 [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[1,8,7,2,3,6,4,5]=>0110010 [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[6,5,4,8,7,3,2,1]=>[1,8,7,4,3,2,6,5]=>0111101 [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[5,6,4,8,7,3,2,1]=>[1,8,7,4,2,3,6,5]=>0111001 [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[5,4,6,8,7,3,2,1]=>[1,8,7,3,2,4,6,5]=>0111001 [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[1,8,7,2,3,4,6,5]=>0110001 [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[1,8,7,5,4,3,2,6]=>0111110 [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[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 [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[1,8,7,2,5,4,3,6]=>0110110 [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[1,8,7,2,5,3,4,6]=>0110100 [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[5,4,7,6,8,3,2,1]=>[1,8,7,3,2,5,4,6]=>0111010 [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[4,5,7,6,8,3,2,1]=>[1,8,7,2,3,5,4,6]=>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 [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[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 [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[1,8,2,7,6,5,4,3]=>0101111 [.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[3,6,8,7,5,4,2,1]=>[1,8,2,7,6,3,5,4]=>0101101 [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[3,7,6,8,5,4,2,1]=>[1,8,2,7,6,4,3,5]=>0101110 [.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[3,6,7,8,5,4,2,1]=>[1,8,2,7,6,3,4,5]=>0101100 [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[1,8,2,7,3,6,5,4]=>0101011 [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[1,8,2,7,3,6,4,5]=>0101010 [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[3,6,5,8,7,4,2,1]=>[1,8,2,7,4,3,6,5]=>0101101 [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>[1,8,2,7,3,4,6,5]=>0101001 [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[1,8,2,7,5,4,3,6]=>0101110 [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[3,6,7,5,8,4,2,1]=>[1,8,2,7,5,3,4,6]=>0101100 [.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[3,5,7,6,8,4,2,1]=>[1,8,2,7,3,5,4,6]=>0101010 [.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[3,6,5,7,8,4,2,1]=>[1,8,2,7,4,3,5,6]=>0101100 [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[1,8,2,7,3,4,5,6]=>0101000 [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[4,3,8,7,6,5,2,1]=>[1,8,3,2,7,6,5,4]=>0110111 [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[4,3,7,8,6,5,2,1]=>[1,8,3,2,7,6,4,5]=>0110110 [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[4,3,7,6,8,5,2,1]=>[1,8,3,2,7,5,4,6]=>0110110 [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[1,8,2,3,7,6,5,4]=>0100111 [.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[3,4,7,8,6,5,2,1]=>[1,8,2,3,7,6,4,5]=>0100110 [.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[3,4,7,6,8,5,2,1]=>[1,8,2,3,7,5,4,6]=>0100110 [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[5,4,3,8,7,6,2,1]=>[1,8,4,3,2,7,6,5]=>0111011 [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[1,8,4,3,2,7,5,6]=>0111010 [.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[4,5,3,8,7,6,2,1]=>[1,8,4,2,3,7,6,5]=>0110011 [.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[4,5,3,7,8,6,2,1]=>[1,8,4,2,3,7,5,6]=>0110010 [.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[3,5,4,8,7,6,2,1]=>[1,8,2,4,3,7,6,5]=>0101011 [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[3,5,4,7,8,6,2,1]=>[1,8,2,4,3,7,5,6]=>0101010 [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[4,3,5,7,8,6,2,1]=>[1,8,3,2,4,7,5,6]=>0110010 [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[3,4,5,8,7,6,2,1]=>[1,8,2,3,4,7,6,5]=>0100011 [.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[1,8,2,3,4,7,5,6]=>0100010 [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[6,5,4,3,8,7,2,1]=>[1,8,5,4,3,2,7,6]=>0111101 [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[5,6,4,3,8,7,2,1]=>[1,8,5,4,2,3,7,6]=>0111001 [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[5,4,6,3,8,7,2,1]=>[1,8,5,3,2,4,7,6]=>0111001 [.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[1,8,5,2,3,4,7,6]=>0110001 [.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[3,5,6,4,8,7,2,1]=>[1,8,2,5,3,4,7,6]=>0101001 [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>[1,8,3,2,5,4,7,6]=>0110101 [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[1,8,4,3,2,5,7,6]=>0111001 [.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[1,8,4,2,3,5,7,6]=>0110001 [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[4,3,5,6,8,7,2,1]=>[1,8,3,2,4,5,7,6]=>0110001 [.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[3,4,5,6,8,7,2,1]=>[1,8,2,3,4,5,7,6]=>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 [.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[4,6,7,5,3,8,2,1]=>[1,8,6,2,5,3,4,7]=>0110100 [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[5,4,7,6,3,8,2,1]=>[1,8,6,3,2,5,4,7]=>0111010 [.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[1,8,6,4,2,3,5,7]=>0111000 [.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[4,6,5,7,3,8,2,1]=>[1,8,6,2,4,3,5,7]=>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 [.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[3,6,7,5,4,8,2,1]=>[1,8,2,6,5,3,4,7]=>0101100 [.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[3,5,7,6,4,8,2,1]=>[1,8,2,6,3,5,4,7]=>0101010 [.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[3,6,5,7,4,8,2,1]=>[1,8,2,6,4,3,5,7]=>0101100 [.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[3,5,6,7,4,8,2,1]=>[1,8,2,6,3,4,5,7]=>0101000 [.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>[4,3,6,7,5,8,2,1]=>[1,8,3,2,6,4,5,7]=>0110100 [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[3,4,7,6,5,8,2,1]=>[1,8,2,3,6,5,4,7]=>0100110 [.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>[3,4,6,7,5,8,2,1]=>[1,8,2,3,6,4,5,7]=>0100100 [.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[4,5,3,7,6,8,2,1]=>[1,8,4,2,3,6,5,7]=>0110010 [.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[3,5,4,7,6,8,2,1]=>[1,8,2,4,3,6,5,7]=>0101010 [.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[3,4,5,7,6,8,2,1]=>[1,8,2,3,4,6,5,7]=>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 [.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[3,5,6,4,7,8,2,1]=>[1,8,2,5,3,4,6,7]=>0101000 [.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[4,3,6,5,7,8,2,1]=>[1,8,3,2,5,4,6,7]=>0110100 [.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[3,4,6,5,7,8,2,1]=>[1,8,2,3,5,4,6,7]=>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 [.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[3,5,4,6,7,8,2,1]=>[1,8,2,4,3,5,6,7]=>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 [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[1,2,8,7,6,5,4,3]=>0011111 [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[2,7,8,6,5,4,3,1]=>[1,2,8,7,6,5,3,4]=>0011110 [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>[1,2,8,7,6,3,5,4]=>0011101 [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[2,7,6,8,5,4,3,1]=>[1,2,8,7,6,4,3,5]=>0011110 [.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[2,6,7,8,5,4,3,1]=>[1,2,8,7,6,3,4,5]=>0011100 [.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[2,5,8,7,6,4,3,1]=>[1,2,8,7,3,6,5,4]=>0011011 [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[2,6,5,8,7,4,3,1]=>[1,2,8,7,4,3,6,5]=>0011101 [.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[2,5,6,8,7,4,3,1]=>[1,2,8,7,3,4,6,5]=>0011001 [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[2,7,6,5,8,4,3,1]=>[1,2,8,7,5,4,3,6]=>0011110 [.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[2,5,7,6,8,4,3,1]=>[1,2,8,7,3,5,4,6]=>0011010 [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[1,2,8,7,3,4,5,6]=>0011000 [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[1,2,8,3,7,6,5,4]=>0010111 [.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[2,4,7,8,6,5,3,1]=>[1,2,8,3,7,6,4,5]=>0010110 [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[1,2,8,3,7,4,6,5]=>0010101 [.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[2,4,6,7,8,5,3,1]=>[1,2,8,3,7,4,5,6]=>0010100 [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[2,5,4,8,7,6,3,1]=>[1,2,8,4,3,7,6,5]=>0011011 [.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[2,5,4,7,8,6,3,1]=>[1,2,8,4,3,7,5,6]=>0011010 [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[1,2,8,3,5,4,7,6]=>0010101 [.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[2,4,5,6,8,7,3,1]=>[1,2,8,3,4,5,7,6]=>0010001 [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[1,2,8,6,5,4,3,7]=>0011110 [.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[2,6,5,7,4,8,3,1]=>[1,2,8,6,4,3,5,7]=>0011100 [.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[2,5,6,7,4,8,3,1]=>[1,2,8,6,3,4,5,7]=>0011000 [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[2,4,7,6,5,8,3,1]=>[1,2,8,3,6,5,4,7]=>0010110 [.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[2,4,6,7,5,8,3,1]=>[1,2,8,3,6,4,5,7]=>0010100 [.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[2,5,4,7,6,8,3,1]=>[1,2,8,4,3,6,5,7]=>0011010 [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[2,6,5,4,7,8,3,1]=>[1,2,8,5,4,3,6,7]=>0011100 [.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[2,5,6,4,7,8,3,1]=>[1,2,8,5,3,4,6,7]=>0011000 [.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[2,4,6,5,7,8,3,1]=>[1,2,8,3,5,4,6,7]=>0010100 [.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[2,5,4,6,7,8,3,1]=>[1,2,8,4,3,5,6,7]=>0011000 [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[2,4,5,6,7,8,3,1]=>[1,2,8,3,4,5,6,7]=>0010000 [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[1,3,2,8,7,6,5,4]=>0101111 [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[3,2,7,8,6,5,4,1]=>[1,3,2,8,7,6,4,5]=>0101110 [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[3,2,6,8,7,5,4,1]=>[1,3,2,8,7,4,6,5]=>0101101 [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[3,2,7,6,8,5,4,1]=>[1,3,2,8,7,5,4,6]=>0101110 [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[3,2,6,5,8,7,4,1]=>[1,3,2,8,5,4,7,6]=>0101101 [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[3,2,5,6,8,7,4,1]=>[1,3,2,8,4,5,7,6]=>0101001 [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[3,2,7,6,5,8,4,1]=>[1,3,2,8,6,5,4,7]=>0101110 [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[3,2,6,7,5,8,4,1]=>[1,3,2,8,6,4,5,7]=>0101100 [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[1,3,2,8,4,6,5,7]=>0101010 [.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[3,2,6,5,7,8,4,1]=>[1,3,2,8,5,4,6,7]=>0101100 [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[1,3,2,8,4,5,6,7]=>0101000 [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[1,2,3,8,7,6,5,4]=>0001111 [.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[2,3,7,8,6,5,4,1]=>[1,2,3,8,7,6,4,5]=>0001110 [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[2,3,6,8,7,5,4,1]=>[1,2,3,8,7,4,6,5]=>0001101 [.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[2,3,7,6,8,5,4,1]=>[1,2,3,8,7,5,4,6]=>0001110 [.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[2,3,6,7,8,5,4,1]=>[1,2,3,8,7,4,5,6]=>0001100 [.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[2,3,5,8,7,6,4,1]=>[1,2,3,8,4,7,6,5]=>0001011 [.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[1,2,3,8,4,7,5,6]=>0001010 [.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[2,3,6,5,8,7,4,1]=>[1,2,3,8,5,4,7,6]=>0001101 [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>[1,2,3,8,4,5,7,6]=>0001001 [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[1,2,3,8,6,5,4,7]=>0001110 [.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[2,3,6,7,5,8,4,1]=>[1,2,3,8,6,4,5,7]=>0001100 [.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[2,3,5,7,6,8,4,1]=>[1,2,3,8,4,6,5,7]=>0001010 [.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[2,3,6,5,7,8,4,1]=>[1,2,3,8,5,4,6,7]=>0001100 [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[1,2,3,8,4,5,6,7]=>0001000 [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[1,4,3,2,8,7,6,5]=>0110111 [.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[4,3,2,6,7,8,5,1]=>[1,4,3,2,8,5,6,7]=>0110100 [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[1,4,2,3,8,7,6,5]=>0100111 [.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[1,4,2,3,8,7,5,6]=>0100110 [.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[3,4,2,6,8,7,5,1]=>[1,4,2,3,8,5,7,6]=>0100101 [.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[3,4,2,7,6,8,5,1]=>[1,4,2,3,8,6,5,7]=>0100110 [.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[3,4,2,6,7,8,5,1]=>[1,4,2,3,8,5,6,7]=>0100100 [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,7,6,5]=>0010111 [.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[2,4,3,7,8,6,5,1]=>[1,2,4,3,8,7,5,6]=>0010110 [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[1,2,4,3,8,5,7,6]=>0010101 [.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[2,4,3,7,6,8,5,1]=>[1,2,4,3,8,6,5,7]=>0010110 [.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[2,4,3,6,7,8,5,1]=>[1,2,4,3,8,5,6,7]=>0010100 [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[1,3,2,4,8,7,6,5]=>0100111 [.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[3,2,4,7,6,8,5,1]=>[1,3,2,4,8,6,5,7]=>0100110 [.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[3,2,4,6,7,8,5,1]=>[1,3,2,4,8,5,6,7]=>0100100 [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,7,6,5]=>0000111 [.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[2,3,4,7,8,6,5,1]=>[1,2,3,4,8,7,5,6]=>0000110 [.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[2,3,4,6,8,7,5,1]=>[1,2,3,4,8,5,7,6]=>0000101 [.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[2,3,4,7,6,8,5,1]=>[1,2,3,4,8,6,5,7]=>0000110 [.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[1,2,3,4,8,5,6,7]=>0000100 [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[1,5,4,3,2,8,7,6]=>0111011 [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[4,5,3,2,8,7,6,1]=>[1,5,4,2,3,8,7,6]=>0110011 [.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[4,5,3,2,7,8,6,1]=>[1,5,4,2,3,8,6,7]=>0110010 [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[4,3,5,2,8,7,6,1]=>[1,5,3,2,4,8,7,6]=>0110011 [.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>[3,4,5,2,8,7,6,1]=>[1,5,2,3,4,8,7,6]=>0100011 [.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[3,4,5,2,7,8,6,1]=>[1,5,2,3,4,8,6,7]=>0100010 [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[1,2,5,4,3,8,7,6]=>0011011 [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[1,2,5,4,3,8,6,7]=>0011010 [.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[2,4,5,3,8,7,6,1]=>[1,2,5,3,4,8,7,6]=>0010011 [.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[2,4,5,3,7,8,6,1]=>[1,2,5,3,4,8,6,7]=>0010010 [.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[2,3,5,4,8,7,6,1]=>[1,2,3,5,4,8,7,6]=>0001011 [.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[2,3,5,4,7,8,6,1]=>[1,2,3,5,4,8,6,7]=>0001010 [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[1,4,3,2,5,8,7,6]=>0110011 [.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[4,3,2,5,7,8,6,1]=>[1,4,3,2,5,8,6,7]=>0110010 [.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[3,4,2,5,8,7,6,1]=>[1,4,2,3,5,8,7,6]=>0100011 [.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>[1,4,2,3,5,8,6,7]=>0100010 [.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[2,4,3,5,8,7,6,1]=>[1,2,4,3,5,8,7,6]=>0010011 [.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[2,4,3,5,7,8,6,1]=>[1,2,4,3,5,8,6,7]=>0010010 [.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[3,2,4,5,7,8,6,1]=>[1,3,2,4,5,8,6,7]=>0100010 [.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[1,2,3,4,5,8,7,6]=>0000011 [.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[2,3,4,5,7,8,6,1]=>[1,2,3,4,5,8,6,7]=>0000010 [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[6,5,4,3,2,8,7,1]=>[1,6,5,4,3,2,8,7]=>0111101 [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[5,4,6,3,2,8,7,1]=>[1,6,5,3,2,4,8,7]=>0111001 [.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[4,5,6,3,2,8,7,1]=>[1,6,5,2,3,4,8,7]=>0110001 [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[3,5,6,4,2,8,7,1]=>[1,6,2,5,3,4,8,7]=>0101001 [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[4,5,3,6,2,8,7,1]=>[1,6,4,2,3,5,8,7]=>0110001 [.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[3,5,4,6,2,8,7,1]=>[1,6,2,4,3,5,8,7]=>0101001 [.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[3,4,5,6,2,8,7,1]=>[1,6,2,3,4,5,8,7]=>0100001 [.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[2,4,5,6,3,8,7,1]=>[1,2,6,3,4,5,8,7]=>0010001 [.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[3,2,6,5,4,8,7,1]=>[1,3,2,6,5,4,8,7]=>0101101 [.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[2,3,5,6,4,8,7,1]=>[1,2,3,6,4,5,8,7]=>0001001 [.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[3,4,2,6,5,8,7,1]=>[1,4,2,3,6,5,8,7]=>0100101 [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>0010101 [.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[3,2,4,6,5,8,7,1]=>[1,3,2,4,6,5,8,7]=>0100101 [.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[2,3,4,6,5,8,7,1]=>[1,2,3,4,6,5,8,7]=>0000101 [.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[4,5,3,2,6,8,7,1]=>[1,5,4,2,3,6,8,7]=>0110001 [.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[3,5,4,2,6,8,7,1]=>[1,5,2,4,3,6,8,7]=>0101001 [.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[4,3,5,2,6,8,7,1]=>[1,5,3,2,4,6,8,7]=>0110001 [.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[3,4,5,2,6,8,7,1]=>[1,5,2,3,4,6,8,7]=>0100001 [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[1,2,5,4,3,6,8,7]=>0011001 [.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[2,4,5,3,6,8,7,1]=>[1,2,5,3,4,6,8,7]=>0010001 [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[4,3,2,5,6,8,7,1]=>[1,4,3,2,5,6,8,7]=>0110001 [.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[3,4,2,5,6,8,7,1]=>[1,4,2,3,5,6,8,7]=>0100001 [.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>0010001 [.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[3,2,4,5,6,8,7,1]=>[1,3,2,4,5,6,8,7]=>0100001 [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>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 [.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[5,7,6,4,3,2,8,1]=>[1,7,6,5,2,4,3,8]=>0111010 [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[1,7,6,5,3,2,4,8]=>0111100 [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[5,4,7,6,3,2,8,1]=>[1,7,6,3,2,5,4,8]=>0111010 [.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[1,7,6,4,2,3,5,8]=>0111000 [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[1,7,6,2,4,3,5,8]=>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 [.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[3,7,6,5,4,2,8,1]=>[1,7,2,6,5,4,3,8]=>0101110 [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[1,7,2,6,3,5,4,8]=>0101010 [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[3,6,5,7,4,2,8,1]=>[1,7,2,6,4,3,5,8]=>0101100 [.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[3,5,6,7,4,2,8,1]=>[1,7,2,6,3,4,5,8]=>0101000 [.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[3,4,6,7,5,2,8,1]=>[1,7,2,3,6,4,5,8]=>0100100 [.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[3,5,4,7,6,2,8,1]=>[1,7,2,4,3,6,5,8]=>0101010 [.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>[4,3,5,7,6,2,8,1]=>[1,7,3,2,4,6,5,8]=>0110010 [.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[3,4,5,7,6,2,8,1]=>[1,7,2,3,4,6,5,8]=>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 [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[1,7,2,5,4,3,6,8]=>0101100 [.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[1,7,2,5,3,4,6,8]=>0101000 [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[1,7,3,2,5,4,6,8]=>0110100 [.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[3,4,6,5,7,2,8,1]=>[1,7,2,3,5,4,6,8]=>0100100 [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[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 [.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[3,5,4,6,7,2,8,1]=>[1,7,2,4,3,5,6,8]=>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 [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[2,7,6,5,4,3,8,1]=>[1,2,7,6,5,4,3,8]=>0011110 [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[2,6,5,7,4,3,8,1]=>[1,2,7,6,4,3,5,8]=>0011100 [.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[2,5,6,7,4,3,8,1]=>[1,2,7,6,3,4,5,8]=>0011000 [.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[2,4,6,7,5,3,8,1]=>[1,2,7,3,6,4,5,8]=>0010100 [.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[2,4,5,7,6,3,8,1]=>[1,2,7,3,4,6,5,8]=>0010010 [.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[2,5,6,4,7,3,8,1]=>[1,2,7,5,3,4,6,8]=>0011000 [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[1,2,7,3,5,4,6,8]=>0010100 [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[2,5,4,6,7,3,8,1]=>[1,2,7,4,3,5,6,8]=>0011000 [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[1,2,7,3,4,5,6,8]=>0010000 [.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[3,2,7,6,5,4,8,1]=>[1,3,2,7,6,5,4,8]=>0101110 [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[1,3,2,7,6,4,5,8]=>0101100 [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[1,3,2,7,5,4,6,8]=>0101100 [.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[3,2,5,6,7,4,8,1]=>[1,3,2,7,4,5,6,8]=>0101000 [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[1,2,3,7,6,5,4,8]=>0001110 [.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>[2,3,6,7,5,4,8,1]=>[1,2,3,7,6,4,5,8]=>0001100 [.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[2,3,5,7,6,4,8,1]=>[1,2,3,7,4,6,5,8]=>0001010 [.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[2,3,5,6,7,4,8,1]=>[1,2,3,7,4,5,6,8]=>0001000 [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[1,4,3,2,7,6,5,8]=>0110110 [.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[3,4,2,6,7,5,8,1]=>[1,4,2,3,7,5,6,8]=>0100100 [.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[2,4,3,6,7,5,8,1]=>[1,2,4,3,7,5,6,8]=>0010100 [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>[1,3,2,4,7,6,5,8]=>0100110 [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,6,5,8]=>0000110 [.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[2,3,4,6,7,5,8,1]=>[1,2,3,4,7,5,6,8]=>0000100 [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[1,5,4,3,2,7,6,8]=>0111010 [.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[4,5,3,2,7,6,8,1]=>[1,5,4,2,3,7,6,8]=>0110010 [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[1,5,3,2,4,7,6,8]=>0110010 [.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[3,4,5,2,7,6,8,1]=>[1,5,2,3,4,7,6,8]=>0100010 [.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[2,4,5,3,7,6,8,1]=>[1,2,5,3,4,7,6,8]=>0010010 [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[1,3,2,5,4,7,6,8]=>0101010 [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>0001010 [.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[1,4,3,2,5,7,6,8]=>0110010 [.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[2,4,3,5,7,6,8,1]=>[1,2,4,3,5,7,6,8]=>0010010 [.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>[1,3,2,4,5,7,6,8]=>0100010 [.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[1,2,3,4,5,7,6,8]=>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 [.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[3,5,6,4,2,7,8,1]=>[1,6,2,5,3,4,7,8]=>0101000 [.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[4,3,6,5,2,7,8,1]=>[1,6,3,2,5,4,7,8]=>0110100 [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[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 [.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[3,5,4,6,2,7,8,1]=>[1,6,2,4,3,5,7,8]=>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 [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[2,6,5,4,3,7,8,1]=>[1,2,6,5,4,3,7,8]=>0011100 [.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[2,5,6,4,3,7,8,1]=>[1,2,6,5,3,4,7,8]=>0011000 [.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[2,4,6,5,3,7,8,1]=>[1,2,6,3,5,4,7,8]=>0010100 [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[2,5,4,6,3,7,8,1]=>[1,2,6,4,3,5,7,8]=>0011000 [.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[2,4,5,6,3,7,8,1]=>[1,2,6,3,4,5,7,8]=>0010000 [.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>[3,2,5,6,4,7,8,1]=>[1,3,2,6,4,5,7,8]=>0101000 [.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[2,3,6,5,4,7,8,1]=>[1,2,3,6,5,4,7,8]=>0001100 [.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[2,3,5,6,4,7,8,1]=>[1,2,3,6,4,5,7,8]=>0001000 [.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[3,4,2,6,5,7,8,1]=>[1,4,2,3,6,5,7,8]=>0100100 [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>0010100 [.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[2,3,4,6,5,7,8,1]=>[1,2,3,4,6,5,7,8]=>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 [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[3,5,4,2,6,7,8,1]=>[1,5,2,4,3,6,7,8]=>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 [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[1,2,5,4,3,6,7,8]=>0011000 [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[2,4,5,3,6,7,8,1]=>[1,2,5,3,4,6,7,8]=>0010000 [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[3,2,5,4,6,7,8,1]=>[1,3,2,5,4,6,7,8]=>0101000 [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[1,2,3,5,4,6,7,8]=>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 [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[2,4,3,5,6,7,8,1]=>[1,2,4,3,5,6,7,8]=>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 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[2,1,8,7,6,5,4,3]=>1011111 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[2,1,8,7,6,5,3,4]=>1011110 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>[2,1,8,7,6,3,5,4]=>1011101 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[2,1,8,7,6,4,3,5]=>1011110 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[2,1,8,7,6,3,4,5]=>1011100 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[1,5,8,7,6,4,3,2]=>[2,1,8,7,3,6,5,4]=>1011011 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[1,5,7,8,6,4,3,2]=>[2,1,8,7,3,6,4,5]=>1011010 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[1,6,5,8,7,4,3,2]=>[2,1,8,7,4,3,6,5]=>1011101 [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[1,5,6,8,7,4,3,2]=>[2,1,8,7,3,4,6,5]=>1011001 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[2,1,8,7,5,4,3,6]=>1011110 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[2,1,8,7,5,3,4,6]=>1011100 [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[1,5,7,6,8,4,3,2]=>[2,1,8,7,3,5,4,6]=>1011010 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[2,1,8,7,4,3,5,6]=>1011100 [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[2,1,8,7,3,4,5,6]=>1011000 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[2,1,8,3,7,6,5,4]=>1010111 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[1,4,7,8,6,5,3,2]=>[2,1,8,3,7,6,4,5]=>1010110 [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[2,1,8,3,7,4,6,5]=>1010101 [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[1,4,7,6,8,5,3,2]=>[2,1,8,3,7,5,4,6]=>1010110 [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[1,4,6,7,8,5,3,2]=>[2,1,8,3,7,4,5,6]=>1010100 [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[1,5,4,8,7,6,3,2]=>[2,1,8,4,3,7,6,5]=>1011011 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[2,1,8,4,3,7,5,6]=>1011010 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[1,4,5,8,7,6,3,2]=>[2,1,8,3,4,7,6,5]=>1010011 [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[1,4,5,7,8,6,3,2]=>[2,1,8,3,4,7,5,6]=>1010010 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[1,6,5,4,8,7,3,2]=>[2,1,8,5,4,3,7,6]=>1011101 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[1,5,4,6,8,7,3,2]=>[2,1,8,4,3,5,7,6]=>1011001 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[1,7,6,5,4,8,3,2]=>[2,1,8,6,5,4,3,7]=>1011110 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[1,6,5,7,4,8,3,2]=>[2,1,8,6,4,3,5,7]=>1011100 [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[1,4,6,7,5,8,3,2]=>[2,1,8,3,6,4,5,7]=>1010100 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[1,6,5,4,7,8,3,2]=>[2,1,8,5,4,3,6,7]=>1011100 [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[1,5,6,4,7,8,3,2]=>[2,1,8,5,3,4,6,7]=>1011000 [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[1,4,5,6,7,8,3,2]=>[2,1,8,3,4,5,6,7]=>1010000 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[2,1,3,8,7,6,5,4]=>1001111 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[1,3,7,8,6,5,4,2]=>[2,1,3,8,7,6,4,5]=>1001110 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[1,3,6,8,7,5,4,2]=>[2,1,3,8,7,4,6,5]=>1001101 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[1,3,7,6,8,5,4,2]=>[2,1,3,8,7,5,4,6]=>1001110 [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[1,3,6,7,8,5,4,2]=>[2,1,3,8,7,4,5,6]=>1001100 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[2,1,3,8,4,7,6,5]=>1001011 [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[2,1,3,8,4,7,5,6]=>1001010 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[1,3,6,5,8,7,4,2]=>[2,1,3,8,5,4,7,6]=>1001101 [[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[1,3,5,6,8,7,4,2]=>[2,1,3,8,4,5,7,6]=>1001001 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[1,3,7,6,5,8,4,2]=>[2,1,3,8,6,5,4,7]=>1001110 [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[1,3,6,7,5,8,4,2]=>[2,1,3,8,6,4,5,7]=>1001100 [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[1,3,5,7,6,8,4,2]=>[2,1,3,8,4,6,5,7]=>1001010 [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[2,1,3,8,5,4,6,7]=>1001100 [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[2,1,3,8,4,5,6,7]=>1001000 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[2,1,4,3,8,7,6,5]=>1010111 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[2,1,4,3,8,7,5,6]=>1010110 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[1,4,3,6,8,7,5,2]=>[2,1,4,3,8,5,7,6]=>1010101 [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>[2,1,4,3,8,6,5,7]=>1010110 [[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[1,4,3,6,7,8,5,2]=>[2,1,4,3,8,5,6,7]=>1010100 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[2,1,3,4,8,7,6,5]=>1000111 [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[1,3,4,7,8,6,5,2]=>[2,1,3,4,8,7,5,6]=>1000110 [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[1,3,4,6,8,7,5,2]=>[2,1,3,4,8,5,7,6]=>1000101 [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[2,1,3,4,8,6,5,7]=>1000110 [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[2,1,3,4,8,5,6,7]=>1000100 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[2,1,5,4,3,8,7,6]=>1011011 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[1,3,5,4,8,7,6,2]=>[2,1,3,5,4,8,7,6]=>1001011 [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[1,4,3,5,8,7,6,2]=>[2,1,4,3,5,8,7,6]=>1010011 [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[1,4,3,5,7,8,6,2]=>[2,1,4,3,5,8,6,7]=>1010010 [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[2,1,3,4,5,8,7,6]=>1000011 [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>[2,1,3,4,5,8,6,7]=>1000010 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[2,1,6,5,4,3,8,7]=>1011101 [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[2,1,6,5,3,4,8,7]=>1011001 [[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[1,4,5,6,3,8,7,2]=>[2,1,6,3,4,5,8,7]=>1010001 [[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[1,3,5,6,4,8,7,2]=>[2,1,3,6,4,5,8,7]=>1001001 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[2,1,4,3,6,5,8,7]=>1010101 [[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[1,3,4,6,5,8,7,2]=>[2,1,3,4,6,5,8,7]=>1000101 [[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[1,4,5,3,6,8,7,2]=>[2,1,5,3,4,6,8,7]=>1010001 [[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[1,3,5,4,6,8,7,2]=>[2,1,3,5,4,6,8,7]=>1001001 [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[1,4,3,5,6,8,7,2]=>[2,1,4,3,5,6,8,7]=>1010001 [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>[2,1,3,4,5,6,8,7]=>1000001 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[1,7,6,5,4,3,8,2]=>[2,1,7,6,5,4,3,8]=>1011110 [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[2,1,7,6,5,3,4,8]=>1011100 [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[1,5,6,7,4,3,8,2]=>[2,1,7,6,3,4,5,8]=>1011000 [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[1,4,5,6,7,3,8,2]=>[2,1,7,3,4,5,6,8]=>1010000 [[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[1,3,4,6,7,5,8,2]=>[2,1,3,4,7,5,6,8]=>1000100 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[1,5,4,3,7,6,8,2]=>[2,1,5,4,3,7,6,8]=>1011010 [[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[1,3,4,5,7,6,8,2]=>[2,1,3,4,5,7,6,8]=>1000010 [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[1,5,4,6,3,7,8,2]=>[2,1,6,4,3,5,7,8]=>1011000 [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[1,3,5,6,4,7,8,2]=>[2,1,3,6,4,5,7,8]=>1001000 [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[2,1,4,3,6,5,7,8]=>1010100 [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[1,3,4,6,5,7,8,2]=>[2,1,3,4,6,5,7,8]=>1000100 [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[2,1,5,4,3,6,7,8]=>1011000 [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[1,4,5,3,6,7,8,2]=>[2,1,5,3,4,6,7,8]=>1010000 [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[2,1,4,3,5,6,7,8]=>1010000 [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,2]=>[2,1,3,4,5,6,7,8]=>1000000 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[3,2,1,8,7,6,5,4]=>1101111 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[3,2,1,8,7,6,4,5]=>1101110 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[2,1,6,8,7,5,4,3]=>[3,2,1,8,7,4,6,5]=>1101101 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[3,2,1,8,7,5,4,6]=>1101110 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[3,2,1,8,7,4,5,6]=>1101100 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[3,2,1,8,4,7,6,5]=>1101011 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[3,2,1,8,4,7,5,6]=>1101010 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>[3,2,1,8,5,4,7,6]=>1101101 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[2,1,5,6,8,7,4,3]=>[3,2,1,8,4,5,7,6]=>1101001 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[3,2,1,8,6,5,4,7]=>1101110 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[3,2,1,8,6,4,5,7]=>1101100 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[2,1,5,7,6,8,4,3]=>[3,2,1,8,4,6,5,7]=>1101010 [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>[3,2,1,8,5,4,6,7]=>1101100 [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[3,2,1,8,4,5,6,7]=>1101000 [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[3,2,1,4,8,7,6,5]=>1100111 [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[3,2,1,4,8,7,5,6]=>1100110 [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[3,2,1,4,8,5,7,6]=>1100101 [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[2,1,4,7,6,8,5,3]=>[3,2,1,4,8,6,5,7]=>1100110 [[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[2,1,4,6,7,8,5,3]=>[3,2,1,4,8,5,6,7]=>1100100 [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[3,2,1,4,5,8,7,6]=>1100011 [[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[3,2,1,4,5,8,6,7]=>1100010 [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[2,1,6,5,4,8,7,3]=>[3,2,1,6,5,4,8,7]=>1101101 [[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[2,1,4,5,6,8,7,3]=>[3,2,1,4,5,6,8,7]=>1100001 [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[2,1,7,6,5,4,8,3]=>[3,2,1,7,6,5,4,8]=>1101110 [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[2,1,6,7,5,4,8,3]=>[3,2,1,7,6,4,5,8]=>1101100 [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[3,2,1,7,4,6,5,8]=>1101010 [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[3,2,1,7,5,4,6,8]=>1101100 [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[3,2,1,4,7,6,5,8]=>1100110 [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[3,2,1,5,4,7,6,8]=>1101010 [[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[2,1,6,5,4,7,8,3]=>[3,2,1,6,5,4,7,8]=>1101100 [[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[2,1,5,4,6,7,8,3]=>[3,2,1,5,4,6,7,8]=>1101000 [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[3,2,1,4,5,6,7,8]=>1100000 [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[2,3,1,8,7,6,5,4]=>0101111 [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[1,2,7,8,6,5,4,3]=>[2,3,1,8,7,6,4,5]=>0101110 [[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[1,2,7,6,8,5,4,3]=>[2,3,1,8,7,5,4,6]=>0101110 [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[2,3,1,8,7,4,5,6]=>0101100 [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[1,2,5,8,7,6,4,3]=>[2,3,1,8,4,7,6,5]=>0101011 [[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[1,2,5,7,8,6,4,3]=>[2,3,1,8,4,7,5,6]=>0101010 [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[2,3,1,8,5,4,7,6]=>0101101 [[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[1,2,5,6,8,7,4,3]=>[2,3,1,8,4,5,7,6]=>0101001 [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[1,2,7,6,5,8,4,3]=>[2,3,1,8,6,5,4,7]=>0101110 [[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[1,2,6,7,5,8,4,3]=>[2,3,1,8,6,4,5,7]=>0101100 [[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[1,2,5,7,6,8,4,3]=>[2,3,1,8,4,6,5,7]=>0101010 [[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[1,2,6,5,7,8,4,3]=>[2,3,1,8,5,4,6,7]=>0101100 [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[2,3,1,8,4,5,6,7]=>0101000 [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[2,3,1,4,8,7,6,5]=>0100111 [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[2,3,1,4,8,5,7,6]=>0100101 [[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[1,2,4,7,6,8,5,3]=>[2,3,1,4,8,6,5,7]=>0100110 [[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[2,3,1,4,8,5,6,7]=>0100100 [[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[2,3,1,4,5,8,6,7]=>0100010 [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[1,2,6,5,4,8,7,3]=>[2,3,1,6,5,4,8,7]=>0101101 [[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[1,2,4,6,5,8,7,3]=>[2,3,1,4,6,5,8,7]=>0100101 [[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[1,2,4,5,6,8,7,3]=>[2,3,1,4,5,6,8,7]=>0100001 [[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[1,2,4,6,7,5,8,3]=>[2,3,1,4,7,5,6,8]=>0100100 [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[2,3,1,6,5,4,7,8]=>0101100 [[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[1,2,5,6,4,7,8,3]=>[2,3,1,6,4,5,7,8]=>0101000 [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,5,4,6,7,8,3]=>[2,3,1,5,4,6,7,8]=>0101000 [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[1,2,4,5,6,7,8,3]=>[2,3,1,4,5,6,7,8]=>0100000 [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,8,7,6,5]=>1110111 [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[4,3,2,1,8,7,5,6]=>1110110 [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[4,3,2,1,8,5,7,6]=>1110101 [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[4,3,2,1,8,6,5,7]=>1110110 [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[4,3,2,1,8,5,6,7]=>1110100 [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[4,3,2,1,5,8,7,6]=>1110011 [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[4,3,2,1,5,8,6,7]=>1110010 [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[4,3,2,1,6,5,8,7]=>1110101 [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[4,3,2,1,5,6,8,7]=>1110001 [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[4,3,2,1,7,6,5,8]=>1110110 [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[4,3,2,1,7,5,6,8]=>1110100 [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[4,3,2,1,5,7,6,8]=>1110010 [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[4,3,2,1,6,5,7,8]=>1110100 [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[4,3,2,1,5,6,7,8]=>1110000 [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[4,2,3,1,8,7,6,5]=>1010111 [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[2,3,1,7,8,6,5,4]=>[4,2,3,1,8,7,5,6]=>1010110 [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[4,2,3,1,8,5,7,6]=>1010101 [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[4,2,3,1,8,6,5,7]=>1010110 [[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[4,2,3,1,8,5,6,7]=>1010100 [[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[2,3,1,5,7,8,6,4]=>[4,2,3,1,5,8,6,7]=>1010010 [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[4,2,3,1,6,5,8,7]=>1010101 [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[4,2,3,1,5,7,6,8]=>1010010 [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[4,2,3,1,5,6,7,8]=>1010000 [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[2,4,3,1,8,7,6,5]=>0110111 [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[1,3,2,7,8,6,5,4]=>[2,4,3,1,8,7,5,6]=>0110110 [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[2,4,3,1,8,5,7,6]=>0110101 [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[1,3,2,7,6,8,5,4]=>[2,4,3,1,8,6,5,7]=>0110110 [[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[1,3,2,6,7,8,5,4]=>[2,4,3,1,8,5,6,7]=>0110100 [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[1,3,2,5,8,7,6,4]=>[2,4,3,1,5,8,7,6]=>0110011 [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[2,4,3,1,5,8,6,7]=>0110010 [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[2,4,3,1,6,5,8,7]=>0110101 [[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[2,4,3,1,6,5,7,8]=>0110100 [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[1,3,2,5,6,7,8,4]=>[2,4,3,1,5,6,7,8]=>0110000 [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[3,2,4,1,8,7,6,5]=>1010111 [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[3,2,4,1,8,7,5,6]=>1010110 [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[3,2,4,1,8,5,7,6]=>1010101 [[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[2,1,3,7,6,8,5,4]=>[3,2,4,1,8,6,5,7]=>1010110 [[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[2,1,3,6,7,8,5,4]=>[3,2,4,1,8,5,6,7]=>1010100 [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[2,1,3,5,8,7,6,4]=>[3,2,4,1,5,8,7,6]=>1010011 [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[2,1,3,5,7,8,6,4]=>[3,2,4,1,5,8,6,7]=>1010010 [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[2,1,3,6,5,8,7,4]=>[3,2,4,1,6,5,8,7]=>1010101 [[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[2,1,3,5,6,8,7,4]=>[3,2,4,1,5,6,8,7]=>1010001 [[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[2,1,3,6,7,5,8,4]=>[3,2,4,1,7,5,6,8]=>1010100 [[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[2,1,3,5,7,6,8,4]=>[3,2,4,1,5,7,6,8]=>1010010 [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[2,1,3,6,5,7,8,4]=>[3,2,4,1,6,5,7,8]=>1010100 [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[2,1,3,5,6,7,8,4]=>[3,2,4,1,5,6,7,8]=>1010000 [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[2,3,4,1,8,7,6,5]=>0010111 [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[2,3,4,1,8,7,5,6]=>0010110 [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[2,3,4,1,8,5,7,6]=>0010101 [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[2,3,4,1,8,6,5,7]=>0010110 [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[2,3,4,1,8,5,6,7]=>0010100 [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[2,3,4,1,5,8,7,6]=>0010011 [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[2,3,4,1,5,8,6,7]=>0010010 [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[2,3,4,1,6,5,8,7]=>0010101 [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[2,3,4,1,5,6,8,7]=>0010001 [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[2,3,4,1,7,6,5,8]=>0010110 [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[2,3,4,1,7,5,6,8]=>0010100 [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[2,3,4,1,5,7,6,8]=>0010010 [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[2,3,4,1,6,5,7,8]=>0010100 [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[2,3,4,1,5,6,7,8]=>0010000 [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[5,4,3,2,1,8,7,6]=>1111011 [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[5,4,3,2,1,8,6,7]=>1111010 [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[5,4,3,2,1,6,8,7]=>1111001 [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[5,4,3,2,1,7,6,8]=>1111010 [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[5,4,3,2,1,6,7,8]=>1111000 [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[5,4,2,3,1,8,7,6]=>1101011 [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[5,4,2,3,1,8,6,7]=>1101010 [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[5,4,2,3,1,6,8,7]=>1101001 [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[5,4,2,3,1,6,7,8]=>1101000 [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[5,2,4,3,1,8,7,6]=>1011011 [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[5,2,4,3,1,6,8,7]=>1011001 [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[5,2,4,3,1,7,6,8]=>1011010 [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[5,2,4,3,1,6,7,8]=>1011000 [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[5,3,2,4,1,8,7,6]=>1101011 [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[5,3,2,4,1,6,8,7]=>1101001 [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[5,3,2,4,1,7,6,8]=>1101010 [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[5,3,2,4,1,6,7,8]=>1101000 [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[5,2,3,4,1,8,7,6]=>1001011 [[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[5,2,3,4,1,8,6,7]=>1001010 [[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[5,2,3,4,1,6,8,7]=>1001001 [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[5,2,3,4,1,6,7,8]=>1001000 [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[2,5,4,3,1,8,7,6]=>0111011 [[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[1,4,3,2,7,8,6,5]=>[2,5,4,3,1,8,6,7]=>0111010 [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[1,4,3,2,6,8,7,5]=>[2,5,4,3,1,6,8,7]=>0111001 [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[2,5,4,3,1,7,6,8]=>0111010 [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[2,5,4,3,1,6,7,8]=>0111000 [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[2,5,3,4,1,8,7,6]=>0101011 [[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[1,3,4,2,7,8,6,5]=>[2,5,3,4,1,8,6,7]=>0101010 [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[2,5,3,4,1,6,7,8]=>0101000 [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[3,2,5,4,1,8,7,6]=>1011011 [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[3,2,5,4,1,8,6,7]=>1011010 [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[3,2,5,4,1,6,8,7]=>1011001 [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[3,2,5,4,1,7,6,8]=>1011010 [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[3,2,5,4,1,6,7,8]=>1011000 [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[2,3,5,4,1,8,7,6]=>0011011 [[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[2,3,5,4,1,8,6,7]=>0011010 [[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[1,2,4,3,6,8,7,5]=>[2,3,5,4,1,6,8,7]=>0011001 [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[2,3,5,4,1,7,6,8]=>0011010 [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[2,3,5,4,1,6,7,8]=>0011000 [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[4,3,2,5,1,8,7,6]=>1101011 [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[4,3,2,5,1,8,6,7]=>1101010 [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[4,3,2,5,1,6,7,8]=>1101000 [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[4,2,3,5,1,8,7,6]=>1001011 [[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[4,2,3,5,1,8,6,7]=>1001010 [[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[2,3,1,4,6,8,7,5]=>[4,2,3,5,1,6,8,7]=>1001001 [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[4,2,3,5,1,6,7,8]=>1001000 [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[2,4,3,5,1,8,7,6]=>0101011 [[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[1,3,2,4,7,8,6,5]=>[2,4,3,5,1,8,6,7]=>0101010 [[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[2,4,3,5,1,6,8,7]=>0101001 [[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[2,4,3,5,1,7,6,8]=>0101010 [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[2,4,3,5,1,6,7,8]=>0101000 [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[3,2,4,5,1,8,7,6]=>1001011 [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[3,2,4,5,1,6,7,8]=>1001000 [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[2,3,4,5,1,8,7,6]=>0001011 [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[2,3,4,5,1,8,6,7]=>0001010 [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[2,3,4,5,1,6,8,7]=>0001001 [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[2,3,4,5,1,7,6,8]=>0001010 [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[2,3,4,5,1,6,7,8]=>0001000 [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,1,8,7]=>1111101 [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[6,5,4,3,2,1,7,8]=>1111100 [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[6,5,4,2,3,1,8,7]=>1110101 [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[6,5,3,2,4,1,8,7]=>1110101 [[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[3,4,5,2,1,7,8,6]=>[6,5,2,3,4,1,7,8]=>1100100 [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[6,2,5,4,3,1,8,7]=>1011101 [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[6,2,5,4,3,1,7,8]=>1011100 [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[6,2,5,3,4,1,8,7]=>1010101 [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[6,3,2,5,4,1,8,7]=>1101101 [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[6,3,2,5,4,1,7,8]=>1101100 [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[6,2,3,5,4,1,8,7]=>1001101 [[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[2,3,5,4,1,7,8,6]=>[6,2,3,5,4,1,7,8]=>1001100 [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[6,4,3,2,5,1,8,7]=>1110101 [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[4,3,2,5,1,7,8,6]=>[6,4,3,2,5,1,7,8]=>1110100 [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[6,4,2,3,5,1,8,7]=>1100101 [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[6,2,4,3,5,1,8,7]=>1010101 [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[6,2,3,4,5,1,8,7]=>1000101 [[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[2,3,4,5,1,7,8,6]=>[6,2,3,4,5,1,7,8]=>1000100 [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[1,5,4,3,2,8,7,6]=>[2,6,5,4,3,1,8,7]=>0111101 [[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[1,4,5,3,2,8,7,6]=>[2,6,5,3,4,1,8,7]=>0110101 [[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[1,4,5,3,2,7,8,6]=>[2,6,5,3,4,1,7,8]=>0110100 [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[1,3,5,4,2,8,7,6]=>[2,6,3,5,4,1,8,7]=>0101101 [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[2,6,3,5,4,1,7,8]=>0101100 [[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[1,4,3,5,2,8,7,6]=>[2,6,4,3,5,1,8,7]=>0110101 [[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[2,6,3,4,5,1,7,8]=>0100100 [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[2,1,5,4,3,8,7,6]=>[3,2,6,5,4,1,8,7]=>1011101 [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[2,1,4,5,3,8,7,6]=>[3,2,6,4,5,1,8,7]=>1010101 [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[1,2,5,4,3,8,7,6]=>[2,3,6,5,4,1,8,7]=>0011101 [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[2,3,6,5,4,1,7,8]=>0011100 [[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[2,3,6,4,5,1,8,7]=>0010101 [[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[2,3,6,4,5,1,7,8]=>0010100 [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[3,2,1,5,4,8,7,6]=>[4,3,2,6,5,1,8,7]=>1101101 [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[3,2,1,5,4,7,8,6]=>[4,3,2,6,5,1,7,8]=>1101100 [[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[2,3,1,5,4,7,8,6]=>[4,2,3,6,5,1,7,8]=>1001100 [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[2,4,3,6,5,1,8,7]=>0101101 [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[2,4,3,6,5,1,7,8]=>0101100 [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[2,3,4,6,5,1,7,8]=>0001100 [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[5,4,3,2,6,1,8,7]=>1110101 [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,1,7,8]=>1110100 [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[3,4,2,1,5,8,7,6]=>[5,4,2,3,6,1,8,7]=>1100101 [[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[2,4,3,1,5,8,7,6]=>[5,2,4,3,6,1,8,7]=>1010101 [[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[2,4,3,1,5,7,8,6]=>[5,2,4,3,6,1,7,8]=>1010100 [[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[5,3,2,4,6,1,8,7]=>1100101 [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[5,3,2,4,6,1,7,8]=>1100100 [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[5,2,3,4,6,1,8,7]=>1000101 [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[5,2,3,4,6,1,7,8]=>1000100 [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[2,5,4,3,6,1,8,7]=>0110101 [[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[2,1,4,3,5,8,7,6]=>[3,2,5,4,6,1,8,7]=>1010101 [[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[2,3,5,4,6,1,7,8]=>0010100 [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[4,3,2,5,6,1,8,7]=>1100101 [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[4,3,2,5,6,1,7,8]=>1100100 [[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[2,3,1,4,5,8,7,6]=>[4,2,3,5,6,1,8,7]=>1000101 [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[4,2,3,5,6,1,7,8]=>1000100 [[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[1,3,2,4,5,8,7,6]=>[2,4,3,5,6,1,8,7]=>0100101 [[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[2,1,3,4,5,7,8,6]=>[3,2,4,5,6,1,7,8]=>1000100 [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,6,1,8,7]=>0000101 [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,6,1,7,8]=>0000100 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,1,8]=>1111110 [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[7,6,5,4,2,3,1,8]=>1111010 [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[7,6,5,3,2,4,1,8]=>1111010 [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[7,6,5,2,3,4,1,8]=>1110010 [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[7,6,2,5,4,3,1,8]=>1101110 [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[7,6,2,5,3,4,1,8]=>1101010 [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[4,3,6,5,2,1,8,7]=>[7,6,3,2,5,4,1,8]=>1110110 [[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>[3,4,6,5,2,1,8,7]=>[7,6,2,3,5,4,1,8]=>1100110 [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[7,6,4,3,2,5,1,8]=>1111010 [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[7,6,4,2,3,5,1,8]=>1110010 [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>[3,5,4,6,2,1,8,7]=>[7,6,2,4,3,5,1,8]=>1101010 [[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[4,3,5,6,2,1,8,7]=>[7,6,3,2,4,5,1,8]=>1110010 [[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[7,6,2,3,4,5,1,8]=>1100010 [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[2,6,5,4,3,1,8,7]=>[7,2,6,5,4,3,1,8]=>1011110 [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[2,5,6,4,3,1,8,7]=>[7,2,6,5,3,4,1,8]=>1011010 [[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[2,4,5,6,3,1,8,7]=>[7,2,6,3,4,5,1,8]=>1010010 [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[7,2,3,6,5,4,1,8]=>1001110 [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[4,3,2,6,5,1,8,7]=>[7,4,3,2,6,5,1,8]=>1110110 [[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[3,4,2,6,5,1,8,7]=>[7,4,2,3,6,5,1,8]=>1100110 [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[7,2,4,3,6,5,1,8]=>1010110 [[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[2,3,4,6,5,1,8,7]=>[7,2,3,4,6,5,1,8]=>1000110 [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[7,5,4,3,2,6,1,8]=>1111010 [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[4,5,3,2,6,1,8,7]=>[7,5,4,2,3,6,1,8]=>1110010 [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[7,5,3,2,4,6,1,8]=>1110010 [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[2,5,4,3,6,1,8,7]=>[7,2,5,4,3,6,1,8]=>1011010 [[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[2,4,5,3,6,1,8,7]=>[7,2,5,3,4,6,1,8]=>1010010 [[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[7,3,2,5,4,6,1,8]=>1101010 [[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[3,4,2,5,6,1,8,7]=>[7,4,2,3,5,6,1,8]=>1100010 [[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[7,2,3,4,5,6,1,8]=>1000010 [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[1,6,5,4,3,2,8,7]=>[2,7,6,5,4,3,1,8]=>0111110 [[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[1,4,5,6,3,2,8,7]=>[2,7,6,3,4,5,1,8]=>0110010 [[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[1,3,6,5,4,2,8,7]=>[2,7,3,6,5,4,1,8]=>0101110 [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[1,3,5,6,4,2,8,7]=>[2,7,3,6,4,5,1,8]=>0101010 [[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[1,3,4,5,6,2,8,7]=>[2,7,3,4,5,6,1,8]=>0100010 [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[3,2,7,6,5,4,1,8]=>1011110 [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[3,2,7,6,4,5,1,8]=>1011010 [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[3,2,7,4,6,5,1,8]=>1010110 [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[3,2,7,5,4,6,1,8]=>1011010 [[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[3,2,7,4,5,6,1,8]=>1010010 [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[1,2,6,5,4,3,8,7]=>[2,3,7,6,5,4,1,8]=>0011110 [[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[1,2,5,4,6,3,8,7]=>[2,3,7,5,4,6,1,8]=>0011010 [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[2,3,1,5,6,4,8,7]=>[4,2,3,7,5,6,1,8]=>1001010 [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[2,3,4,7,6,5,1,8]=>0001110 [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[1,2,3,5,6,4,8,7]=>[2,3,4,7,5,6,1,8]=>0001010 [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[5,4,3,2,7,6,1,8]=>1110110 [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[5,4,2,3,7,6,1,8]=>1100110 [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[5,2,4,3,7,6,1,8]=>1010110 [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[5,3,2,4,7,6,1,8]=>1100110 [[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[5,2,3,4,7,6,1,8]=>1000110 [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[3,2,5,4,7,6,1,8]=>1010110 [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[3,2,1,4,6,5,8,7]=>[4,3,2,5,7,6,1,8]=>1100110 [[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[2,3,1,4,6,5,8,7]=>[4,2,3,5,7,6,1,8]=>1000110 [[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,6,5,8,7]=>[2,3,4,5,7,6,1,8]=>0000110 [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[6,5,4,3,2,7,1,8]=>1111010 [[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[3,5,4,2,1,6,8,7]=>[6,5,2,4,3,7,1,8]=>1101010 [[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[4,3,5,2,1,6,8,7]=>[6,5,3,2,4,7,1,8]=>1110010 [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[2,5,4,3,1,6,8,7]=>[6,2,5,4,3,7,1,8]=>1011010 [[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[2,4,5,3,1,6,8,7]=>[6,2,5,3,4,7,1,8]=>1010010 [[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[3,2,5,4,1,6,8,7]=>[6,3,2,5,4,7,1,8]=>1101010 [[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[2,3,5,4,1,6,8,7]=>[6,2,3,5,4,7,1,8]=>1001010 [[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>[3,4,2,5,1,6,8,7]=>[6,4,2,3,5,7,1,8]=>1100010 [[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>[3,2,4,5,1,6,8,7]=>[6,3,2,4,5,7,1,8]=>1100010 [[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[2,3,4,5,1,6,8,7]=>[6,2,3,4,5,7,1,8]=>1000010 [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[3,2,6,5,4,7,1,8]=>1011010 [[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[2,1,4,5,3,6,8,7]=>[3,2,6,4,5,7,1,8]=>1010010 [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[3,2,1,5,4,6,8,7]=>[4,3,2,6,5,7,1,8]=>1101010 [[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[1,3,2,5,4,6,8,7]=>[2,4,3,6,5,7,1,8]=>0101010 [[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[1,2,3,5,4,6,8,7]=>[2,3,4,6,5,7,1,8]=>0001010 [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,1,8]=>1110010 [[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[3,4,2,1,5,6,8,7]=>[5,4,2,3,6,7,1,8]=>1100010 [[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[2,4,3,1,5,6,8,7]=>[5,2,4,3,6,7,1,8]=>1010010 [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[5,2,3,4,6,7,1,8]=>1000010 [[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[2,5,4,3,6,7,1,8]=>0110010 [[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[1,3,4,2,5,6,8,7]=>[2,5,3,4,6,7,1,8]=>0100010 [[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[1,2,4,3,5,6,8,7]=>[2,3,5,4,6,7,1,8]=>0010010 [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[3,2,1,4,5,6,8,7]=>[4,3,2,5,6,7,1,8]=>1100010 [[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[2,3,1,4,5,6,8,7]=>[4,2,3,5,6,7,1,8]=>1000010 [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[3,2,4,5,6,7,1,8]=>1000010 [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,1,8]=>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 [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[8,7,6,5,2,4,3,1]=>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 [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[8,7,6,2,5,4,3,1]=>1110111 [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[4,6,7,5,3,2,1,8]=>[8,7,6,2,5,3,4,1]=>1110101 [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[5,4,7,6,3,2,1,8]=>[8,7,6,3,2,5,4,1]=>1111011 [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[4,5,7,6,3,2,1,8]=>[8,7,6,2,3,5,4,1]=>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 [[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[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 [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[3,7,6,5,4,2,1,8]=>[8,7,2,6,5,4,3,1]=>1101111 [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[8,7,2,6,3,5,4,1]=>1101011 [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[3,4,7,6,5,2,1,8]=>[8,7,2,3,6,5,4,1]=>1100111 [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[4,5,3,7,6,2,1,8]=>[8,7,4,2,3,6,5,1]=>1110011 [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[3,5,4,7,6,2,1,8]=>[8,7,2,4,3,6,5,1]=>1101011 [[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[4,3,5,7,6,2,1,8]=>[8,7,3,2,4,6,5,1]=>1110011 [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[8,7,5,4,3,2,6,1]=>1111101 [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[4,6,5,3,7,2,1,8]=>[8,7,5,2,4,3,6,1]=>1110101 [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[8,7,5,3,2,4,6,1]=>1111001 [[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[3,6,5,4,7,2,1,8]=>[8,7,2,5,4,3,6,1]=>1101101 [[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[4,3,6,5,7,2,1,8]=>[8,7,3,2,5,4,6,1]=>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 [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[2,7,6,5,4,3,1,8]=>[8,2,7,6,5,4,3,1]=>1011111 [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[2,6,7,5,4,3,1,8]=>[8,2,7,6,5,3,4,1]=>1011101 [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[2,5,7,6,4,3,1,8]=>[8,2,7,6,3,5,4,1]=>1011011 [[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[2,5,6,7,4,3,1,8]=>[8,2,7,6,3,4,5,1]=>1011001 [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[2,4,7,6,5,3,1,8]=>[8,2,7,3,6,5,4,1]=>1010111 [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[8,2,7,3,6,4,5,1]=>1010101 [[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[2,4,5,7,6,3,1,8]=>[8,2,7,3,4,6,5,1]=>1010011 [[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[2,4,5,6,7,3,1,8]=>[8,2,7,3,4,5,6,1]=>1010001 [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[8,3,2,7,6,5,4,1]=>1101111 [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[8,3,2,7,6,4,5,1]=>1101101 [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[3,2,5,7,6,4,1,8]=>[8,3,2,7,4,6,5,1]=>1101011 [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[2,3,7,6,5,4,1,8]=>[8,2,3,7,6,5,4,1]=>1001111 [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[2,3,6,7,5,4,1,8]=>[8,2,3,7,6,4,5,1]=>1001101 [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[2,3,5,6,7,4,1,8]=>[8,2,3,7,4,5,6,1]=>1001001 [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[4,3,2,7,6,5,1,8]=>[8,4,3,2,7,6,5,1]=>1110111 [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[4,3,2,6,7,5,1,8]=>[8,4,3,2,7,5,6,1]=>1110101 [[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>[3,4,2,7,6,5,1,8]=>[8,4,2,3,7,6,5,1]=>1100111 [[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[3,4,2,6,7,5,1,8]=>[8,4,2,3,7,5,6,1]=>1100101 [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[2,4,3,7,6,5,1,8]=>[8,2,4,3,7,6,5,1]=>1010111 [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[3,2,4,7,6,5,1,8]=>[8,3,2,4,7,6,5,1]=>1100111 [[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[2,3,4,7,6,5,1,8]=>[8,2,3,4,7,6,5,1]=>1000111 [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[8,5,4,3,2,7,6,1]=>1111011 [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[8,5,4,2,3,7,6,1]=>1110011 [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[2,5,4,3,7,6,1,8]=>[8,2,5,4,3,7,6,1]=>1011011 [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[8,3,2,5,4,7,6,1]=>1101011 [[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[2,3,5,4,7,6,1,8]=>[8,2,3,5,4,7,6,1]=>1001011 [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[4,3,2,5,7,6,1,8]=>[8,4,3,2,5,7,6,1]=>1110011 [[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>[3,4,2,5,7,6,1,8]=>[8,4,2,3,5,7,6,1]=>1100011 [[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[2,3,4,5,7,6,1,8]=>[8,2,3,4,5,7,6,1]=>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 [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[3,6,5,4,2,7,1,8]=>[8,6,2,5,4,3,7,1]=>1101101 [[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[3,5,6,4,2,7,1,8]=>[8,6,2,5,3,4,7,1]=>1101001 [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[4,3,6,5,2,7,1,8]=>[8,6,3,2,5,4,7,1]=>1110101 [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[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 [[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>[2,6,5,4,3,7,1,8]=>[8,2,6,5,4,3,7,1]=>1011101 [[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[2,4,5,6,3,7,1,8]=>[8,2,6,3,4,5,7,1]=>1010001 [[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[4,3,2,6,5,7,1,8]=>[8,4,3,2,6,5,7,1]=>1110101 [[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[3,4,2,6,5,7,1,8]=>[8,4,2,3,6,5,7,1]=>1100101 [[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[2,4,3,6,5,7,1,8]=>[8,2,4,3,6,5,7,1]=>1010101 [[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[3,2,4,6,5,7,1,8]=>[8,3,2,4,6,5,7,1]=>1100101 [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[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 [[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[8,5,2,3,4,6,7,1]=>1100001 [[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[2,5,4,3,6,7,1,8]=>[8,2,5,4,3,6,7,1]=>1011001 [[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[2,3,5,4,6,7,1,8]=>[8,2,3,5,4,6,7,1]=>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 [[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[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 [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,7,6,5,4,3,2,8]=>[2,8,7,6,5,4,3,1]=>0111111 [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[1,6,7,5,4,3,2,8]=>[2,8,7,6,5,3,4,1]=>0111101 [[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[1,5,7,6,4,3,2,8]=>[2,8,7,6,3,5,4,1]=>0111011 [[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>[1,6,5,7,4,3,2,8]=>[2,8,7,6,4,3,5,1]=>0111101 [[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[1,5,6,7,4,3,2,8]=>[2,8,7,6,3,4,5,1]=>0111001 [[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[1,4,5,7,6,3,2,8]=>[2,8,7,3,4,6,5,1]=>0110011 [[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[1,4,5,6,7,3,2,8]=>[2,8,7,3,4,5,6,1]=>0110001 [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[1,3,7,6,5,4,2,8]=>[2,8,3,7,6,5,4,1]=>0101111 [[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[1,3,5,7,6,4,2,8]=>[2,8,3,7,4,6,5,1]=>0101011 [[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[1,3,5,6,7,4,2,8]=>[2,8,3,7,4,5,6,1]=>0101001 [[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[1,4,3,7,6,5,2,8]=>[2,8,4,3,7,6,5,1]=>0110111 [[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[1,3,4,6,7,5,2,8]=>[2,8,3,4,7,5,6,1]=>0100101 [[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[1,4,5,3,7,6,2,8]=>[2,8,5,3,4,7,6,1]=>0110011 [[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[1,3,5,4,7,6,2,8]=>[2,8,3,5,4,7,6,1]=>0101011 [[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[1,4,3,5,7,6,2,8]=>[2,8,4,3,5,7,6,1]=>0110011 [[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[1,3,4,5,7,6,2,8]=>[2,8,3,4,5,7,6,1]=>0100011 [[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[1,4,6,5,3,7,2,8]=>[2,8,6,3,5,4,7,1]=>0110101 [[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[1,5,4,6,3,7,2,8]=>[2,8,6,4,3,5,7,1]=>0111001 [[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[1,4,5,6,3,7,2,8]=>[2,8,6,3,4,5,7,1]=>0110001 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[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[2,3,7,6,4,5,8,1]=>0011001 [[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[1,2,4,6,5,3,7,8]=>[2,3,7,4,6,5,8,1]=>0010101 [[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[1,2,5,4,6,3,7,8]=>[2,3,7,5,4,6,8,1]=>0011001 [[[[[.,.],.],[[[.,.],.],.]],.],.]=>[1,2,4,5,6,3,7,8]=>[2,3,7,4,5,6,8,1]=>0010001 [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[3,2,1,6,5,4,7,8]=>[4,3,2,7,6,5,8,1]=>1101101 [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[3,2,1,5,6,4,7,8]=>[4,3,2,7,5,6,8,1]=>1101001 [[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[4,2,3,7,6,5,8,1]=>1001101 [[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[2,3,1,5,6,4,7,8]=>[4,2,3,7,5,6,8,1]=>1001001 [[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[1,3,2,6,5,4,7,8]=>[2,4,3,7,6,5,8,1]=>0101101 [[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[1,3,2,5,6,4,7,8]=>[2,4,3,7,5,6,8,1]=>0101001 [[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[2,1,3,6,5,4,7,8]=>[3,2,4,7,6,5,8,1]=>1001101 [[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[2,1,3,5,6,4,7,8]=>[3,2,4,7,5,6,8,1]=>1001001 [[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[1,2,3,6,5,4,7,8]=>[2,3,4,7,6,5,8,1]=>0001101 [[[[[[.,.],.],.],[[.,.],.]],.],.]=>[1,2,3,5,6,4,7,8]=>[2,3,4,7,5,6,8,1]=>0001001 [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[5,4,3,2,7,6,8,1]=>1110101 [[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[3,4,2,1,6,5,7,8]=>[5,4,2,3,7,6,8,1]=>1100101 [[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[1,4,3,2,6,5,7,8]=>[2,5,4,3,7,6,8,1]=>0110101 [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[3,2,5,4,7,6,8,1]=>1010101 [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[2,3,5,4,7,6,8,1]=>0010101 [[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[3,2,1,4,6,5,7,8]=>[4,3,2,5,7,6,8,1]=>1100101 [[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[2,4,3,5,7,6,8,1]=>0100101 [[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[3,2,4,5,7,6,8,1]=>1000101 [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[2,3,4,5,7,6,8,1]=>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 [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[6,5,2,4,3,7,8,1]=>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 [[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[2,5,4,3,1,6,7,8]=>[6,2,5,4,3,7,8,1]=>1011001 [[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[6,3,2,5,4,7,8,1]=>1101001 [[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[2,3,5,4,1,6,7,8]=>[6,2,3,5,4,7,8,1]=>1001001 [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[6,2,3,4,5,7,8,1]=>1000001 [[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[1,5,4,3,2,6,7,8]=>[2,6,5,4,3,7,8,1]=>0111001 [[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[1,4,5,3,2,6,7,8]=>[2,6,5,3,4,7,8,1]=>0110001 [[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[1,3,5,4,2,6,7,8]=>[2,6,3,5,4,7,8,1]=>0101001 [[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[1,4,3,5,2,6,7,8]=>[2,6,4,3,5,7,8,1]=>0110001 [[[[[.,.],[[[.,.],.],.]],.],.],.]=>[1,3,4,5,2,6,7,8]=>[2,6,3,4,5,7,8,1]=>0100001 [[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[1,2,5,4,3,6,7,8]=>[2,3,6,5,4,7,8,1]=>0011001 [[[[[[.,.],.],[[.,.],.]],.],.],.]=>[1,2,4,5,3,6,7,8]=>[2,3,6,4,5,7,8,1]=>0010001 [[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[3,2,1,5,4,6,7,8]=>[4,3,2,6,5,7,8,1]=>1101001 [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[2,4,3,6,5,7,8,1]=>0101001 [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[2,3,4,6,5,7,8,1]=>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 [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[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 [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[2,5,4,3,6,7,8,1]=>0110001 [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[2,5,3,4,6,7,8,1]=>0100001 [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[3,2,5,4,6,7,8,1]=>1010001 [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[2,3,5,4,6,7,8,1]=>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 [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>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 [.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[7,9,8,6,5,4,3,2,1]=>[1,9,8,7,6,5,2,4,3]=>01111101 [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[1,10,9,8,7,2,3,4,5,6]=>011110000 [.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[2,4,5,6,7,8,9,3,1]=>[1,2,9,3,4,5,6,7,8]=>00100000 [.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[1,10,2,3,4,5,6,7,8,9]=>010000000 [[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,2]=>[2,1,3,4,5,6,7,8,9]=>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 [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[1,10,9,8,7,6,4,3,2,5]=>011111110 [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[1,10,9,8,7,5,4,3,2,6]=>011111110 [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[1,10,9,8,6,5,4,3,2,7]=>011111110 [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[1,10,9,7,6,5,4,3,2,8]=>011111110 [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[1,10,8,7,6,5,4,3,2,9]=>011111110 [[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[1,8,7,6,5,4,3,2,9]=>[2,9,8,7,6,5,4,3,1]=>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 [.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,10,9,1]=>[1,2,4,3,6,5,8,7,10,9]=>001010101 [[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,9,8,1,10]=>[10,3,2,5,4,7,6,9,8,1]=>110101011 [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9]=>[3,2,5,4,7,6,9,8,1,10]=>101010110 [[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,9,8,11,10,1,12]=>[12,3,2,5,4,7,6,9,8,11,10,1]=>11010101011 [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[3,2,5,4,7,6,9,8,11,10,1,12]=>10101010110 [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,8,1,9]=>00000010 [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,9,1,10]=>000000010 [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,9,8]=>[3,2,4,5,6,7,8,1,9]=>10000010 [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[1,3,2,4,5,6,7,8,9]=>01000000 [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,9,11,10]=>[2,3,4,5,6,7,8,9,10,1,11]=>0000000010 [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[2,3,1,4,5,6,7,9,8]=>[4,2,3,5,6,7,8,1,9]=>10000010 [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[2,4,3,5,6,7,8,9,1]=>[1,2,4,3,5,6,7,8,9]=>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 [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,7,1,8,9]=>00000100 [[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,7,8,9,6]=>[2,3,4,5,6,1,7,8,9]=>00001000 [[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,6,7,8,9,5]=>[2,3,4,5,1,6,7,8,9]=>00010000 [[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,4]=>[2,3,4,1,5,6,7,8,9]=>00100000 [[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,3]=>[2,3,1,4,5,6,7,8,9]=>01000000 [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,9,8,7]=>[2,3,4,5,6,7,1,9,8]=>00000101 [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,7,9,10,8]=>[2,3,4,5,6,7,8,1,9,10]=>000000100 [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,5,8,7,9,6]=>[2,3,4,5,6,1,8,7,9]=>00001010 [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,6,8,9,10,7]=>[2,3,4,5,6,7,1,8,9,10]=>000001000 [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,4,7,6,8,9,5]=>[2,3,4,5,1,7,6,8,9]=>00010100 [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,5,7,8,9,10,6]=>[2,3,4,5,6,1,7,8,9,10]=>000010000 [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,3,6,5,7,8,9,4]=>[2,3,4,1,6,5,7,8,9]=>00101000 [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,4,6,7,8,9,10,5]=>[2,3,4,5,1,6,7,8,9,10]=>000100000 [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[1,2,5,4,6,7,8,9,3]=>[2,3,1,5,4,6,7,8,9]=>01010000 [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,10,4]=>[2,3,4,1,5,6,7,8,9,10]=>001000000 [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[1,4,3,5,6,7,8,9,2]=>[2,1,4,3,5,6,7,8,9]=>10100000 [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,10,3]=>[2,3,1,4,5,6,7,8,9,10]=>010000000 [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,10,2]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,9,8,7,6,5,4,3,2]=>[2,1,9,8,7,6,5,4,3]=>10111111 [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,2,3,1]=>11111101 [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[1,8,9,7,6,5,4,3,2]=>[2,1,9,8,7,6,5,3,4]=>10111110 [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[1,10,9,8,7,6,5,4,3,2]=>[2,1,10,9,8,7,6,5,4,3]=>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 [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[1,8,7,9,6,5,4,3,2]=>[2,1,9,8,7,6,4,3,5]=>10111110 [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[1,9,10,8,7,6,5,4,3,2]=>[2,1,10,9,8,7,6,5,3,4]=>101111110 [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,1,11,10,9,8,7,6,5,4,3]=>1011111111 [.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,9,8,10,1]=>[1,3,2,5,4,7,6,9,8,10]=>010101010 [[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,9,8,10,3]=>[3,2,1,5,4,7,6,9,8,10]=>110101010 [[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[2,1,9,8,7,6,5,4,3]=>[3,2,1,9,8,7,6,5,4]=>11011111 [[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[3,2,1,9,8,7,6,5,4]=>[4,3,2,1,9,8,7,6,5]=>11101111 [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[4,3,2,1,9,8,7,6,5]=>[5,4,3,2,1,9,8,7,6]=>11110111 [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[5,4,3,2,1,9,8,7,6]=>[6,5,4,3,2,1,9,8,7]=>11111011 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[6,5,4,3,2,1,9,8,7]=>[7,6,5,4,3,2,1,9,8]=>11111101 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[7,6,5,4,3,2,1,9,8]=>[8,7,6,5,4,3,2,1,9]=>11111110 [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,9,8,7,6,5,4,3]=>[2,3,1,9,8,7,6,5,4]=>01011111 [[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,1,10,9,8,7,6,5,4,3]=>[3,2,1,10,9,8,7,6,5,4]=>110111111 [[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,3,1,9,8,7,6,5,4]=>[4,2,3,1,9,8,7,6,5]=>10101111 [[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[3,2,1,10,9,8,7,6,5,4]=>[4,3,2,1,10,9,8,7,6,5]=>111011111 [[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[4,3,2,1,10,9,8,7,6,5]=>[5,4,3,2,1,10,9,8,7,6]=>111101111 [[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1,10,9,8,7,6]=>[6,5,4,3,2,1,10,9,8,7]=>111110111 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[6,5,4,3,2,1,10,9,8,7]=>[7,6,5,4,3,2,1,10,9,8]=>111111011 [[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>[6,7,5,4,3,2,1,9,8]=>[8,7,6,5,4,2,3,1,9]=>11111010 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[7,6,5,4,3,2,1,10,9,8]=>[8,7,6,5,4,3,2,1,10,9]=>111111101 [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[8,7,6,5,4,3,2,1,10,9]=>[9,8,7,6,5,4,3,2,1,10]=>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 [[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>[1,7,6,5,4,3,2,8,9]=>[2,8,7,6,5,4,3,9,1]=>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 [[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9]=>[2,4,3,5,6,7,8,9,1]=>01000001 [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,1]=>100000001 [.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[4,9,8,7,6,5,3,2,1]=>[1,9,8,2,7,6,5,4,3]=>01101111 [.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[3,9,8,7,6,5,4,2,1]=>[1,9,2,8,7,6,5,4,3]=>01011111 [.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,9,8,7,6,5,4,3,1]=>[1,2,9,8,7,6,5,4,3]=>00111111 [.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,9,8,1]=>[1,2,3,4,5,6,7,9,8]=>00000001 [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[3,2,4,5,6,7,8,9,10,11,1]=>1000000001 [.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[2,3,4,5,6,8,9,7,1]=>[1,2,3,4,5,6,9,7,8]=>00000010 [.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,8,10,9,1]=>[1,2,3,4,5,6,7,8,10,9]=>000000001 [[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[6,5,4,3,2,1,8,7,9]=>[7,6,5,4,3,2,9,8,1]=>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 [[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10]=>[4,2,3,5,6,7,8,9,10,1]=>100000001 [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[10,2,3,4,5,6,7,8,9,1]=>100000001 [[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[1,2,3,5,4,6,7,8,9]=>[2,3,4,6,5,7,8,9,1]=>00010001 [[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,6,5,7,8,9]=>[2,3,4,5,7,6,8,9,1]=>00001001 [[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,7,6,8,9]=>[2,3,4,5,6,8,7,9,1]=>00000101 [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,8,7,9]=>[2,3,4,5,6,7,9,8,1]=>00000011 [[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[1,2,3,5,4,6,7,8,9,10]=>[2,3,4,6,5,7,8,9,10,1]=>000100001 [[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[1,2,3,4,6,5,7,8,9,10]=>[2,3,4,5,7,6,8,9,10,1]=>000010001 [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,9,8,10]=>[2,3,4,5,6,7,8,10,9,1]=>000000011 [[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[1,3,4,5,6,7,9,8,2]=>[2,1,3,4,5,6,7,9,8]=>10000001 [.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[7,6,5,4,3,2,9,8,1]=>[1,7,6,5,4,3,2,9,8]=>01111101 [.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]]=>[4,3,2,5,6,7,8,9,1]=>[1,4,3,2,5,6,7,8,9]=>01100000 [[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[1,7,6,5,4,3,2,9,8]=>[2,8,7,6,5,4,3,1,9]=>01111110 [[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>[6,5,4,3,2,1,8,9,7]=>[7,6,5,4,3,2,1,8,9]=>11111100 [[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>0000000001 [[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[2,1,8,7,6,5,4,3,9]=>[3,2,9,8,7,6,5,4,1]=>10111111 [[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[1,9,8,7,6,5,4,3,2,10]=>[2,10,9,8,7,6,5,4,3,1]=>011111111 [[[[[[[.,.],.],[[.,.],.]],.],.],.],.]=>[1,2,4,5,3,6,7,8,9]=>[2,3,6,4,5,7,8,9,1]=>00100001 [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[2,1,4,5,6,7,8,9,3]=>[3,2,1,4,5,6,7,8,9]=>11000000 [[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[1,3,4,5,6,7,8,2,9]=>[2,9,3,4,5,6,7,8,1]=>01000001 [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,7,10,9,8]=>[2,3,4,5,6,7,8,1,10,9]=>000000101 [[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>[6,7,8,5,4,3,2,1,9]=>[9,8,7,6,5,2,3,4,1]=>11111001 [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,9,8,7,6]=>[2,3,4,5,6,1,9,8,7]=>00001011 [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,9,8,7,6,5]=>[2,3,4,5,1,9,8,7,6]=>00010111 [[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,7,6,9,8]=>[2,3,4,5,6,8,7,1,9]=>00000110 [[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,6,8,7,10,9]=>[2,3,4,5,6,7,9,8,1,10]=>000000110 [[[[[[.,[.,[[.,.],.]]],.],.],.],.],.]=>[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 [[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]=>[7,6,5,8,4,3,2,1,9]=>[9,8,7,6,4,3,2,5,1]=>11111101 [[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.]=>[4,5,3,2,1,6,7,8,9]=>[6,5,4,2,3,7,8,9,1]=>11100001 [[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[9,3,2,4,5,6,7,8,1]=>11000001 [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]=>[7,6,5,4,3,2,1,9,8,10]=>[8,7,6,5,4,3,2,10,9,1]=>111111011 [.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,3,9,8,7,6,5,4,1]=>[1,2,3,9,8,7,6,5,4]=>00011111 [[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[2,8,7,6,5,4,3,1,9]=>[9,2,8,7,6,5,4,3,1]=>10111111 [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,7,1,9,8]=>[8,2,3,4,5,6,7,1,9]=>10000010 [[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]=>[8,7,6,5,4,3,2,9,1,10]=>[10,8,7,6,5,4,3,2,9,1]=>111111101 [[.,.],[[.,[[[[[.,.],.],.],.],.]],.]]=>[1,4,5,6,7,8,3,9,2]=>[2,1,8,3,4,5,6,7,9]=>10100000 [[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,2,8,7,6,5,4,3,9]=>[2,3,9,8,7,6,5,4,1]=>00111111 [[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,8,10,9,11]=>[2,3,4,5,6,7,8,9,11,10,1]=>0000000011 [[[.,[.,.]],.],[[[[[.,.],.],.],.],.]]=>[2,1,3,5,6,7,8,9,4]=>[3,2,4,1,5,6,7,8,9]=>10100000 [[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.]=>[5,6,4,3,2,1,7,8,9]=>[7,6,5,4,2,3,8,9,1]=>11110001
Map
to 312-avoiding permutation
Description
Return a 312-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 minimal element of this 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.