=>

[[1]]=>[1]=>=> [[1,2]]=>[1,2]=>0=>0 [[1],[2]]=>[2,1]=>1=>1 [[1,2,3]]=>[1,2,3]=>00=>00 [[1,3],[2]]=>[2,1,3]=>10=>01 [[1,2],[3]]=>[3,1,2]=>10=>01 [[1],[2],[3]]=>[3,2,1]=>11=>11 [[1,2,3,4]]=>[1,2,3,4]=>000=>000 [[1,3,4],[2]]=>[2,1,3,4]=>100=>001 [[1,2,4],[3]]=>[3,1,2,4]=>100=>001 [[1,2,3],[4]]=>[4,1,2,3]=>100=>001 [[1,3],[2,4]]=>[2,4,1,3]=>010=>010 [[1,2],[3,4]]=>[3,4,1,2]=>010=>010 [[1,4],[2],[3]]=>[3,2,1,4]=>110=>011 [[1,3],[2],[4]]=>[4,2,1,3]=>110=>011 [[1,2],[3],[4]]=>[4,3,1,2]=>110=>011 [[1],[2],[3],[4]]=>[4,3,2,1]=>111=>111 [[1,2,3,4,5]]=>[1,2,3,4,5]=>0000=>0000 [[1,3,4,5],[2]]=>[2,1,3,4,5]=>1000=>0001 [[1,2,4,5],[3]]=>[3,1,2,4,5]=>1000=>0001 [[1,2,3,5],[4]]=>[4,1,2,3,5]=>1000=>0001 [[1,2,3,4],[5]]=>[5,1,2,3,4]=>1000=>0001 [[1,3,5],[2,4]]=>[2,4,1,3,5]=>0100=>0010 [[1,2,5],[3,4]]=>[3,4,1,2,5]=>0100=>0010 [[1,3,4],[2,5]]=>[2,5,1,3,4]=>0100=>0010 [[1,2,4],[3,5]]=>[3,5,1,2,4]=>0100=>0010 [[1,2,3],[4,5]]=>[4,5,1,2,3]=>0100=>0010 [[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100=>0011 [[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100=>0011 [[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100=>0011 [[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100=>0011 [[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100=>0011 [[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100=>0011 [[1,4],[2,5],[3]]=>[3,2,5,1,4]=>1010=>0101 [[1,3],[2,5],[4]]=>[4,2,5,1,3]=>1010=>0101 [[1,2],[3,5],[4]]=>[4,3,5,1,2]=>1010=>0101 [[1,3],[2,4],[5]]=>[5,2,4,1,3]=>1010=>0101 [[1,2],[3,4],[5]]=>[5,3,4,1,2]=>1010=>0101 [[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>1110=>0111 [[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>1110=>0111 [[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>1110=>0111 [[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>1110=>0111 [[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>1111=>1111 [[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>00000=>00000 [[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>10000=>00001 [[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>10000=>00001 [[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>10000=>00001 [[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>10000=>00001 [[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>10000=>00001 [[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000=>00010 [[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000=>00010 [[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000=>00010 [[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000=>00010 [[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000=>00010 [[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000=>00010 [[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000=>00010 [[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000=>00010 [[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000=>00010 [[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000=>00011 [[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000=>00011 [[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000=>00011 [[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000=>00011 [[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000=>00011 [[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000=>00011 [[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000=>00011 [[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000=>00011 [[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000=>00011 [[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000=>00011 [[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>00100=>00100 [[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>00100=>00100 [[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>00100=>00100 [[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>00100=>00100 [[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>00100=>00100 [[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100=>00101 [[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100=>00101 [[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100=>00101 [[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100=>00101 [[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100=>00101 [[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100=>00101 [[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100=>00101 [[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100=>00101 [[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100=>00101 [[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100=>00101 [[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100=>00101 [[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100=>00101 [[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100=>00101 [[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100=>00101 [[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100=>00101 [[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100=>00101 [[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100=>00111 [[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100=>00111 [[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100=>00111 [[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100=>00111 [[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100=>00111 [[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100=>00111 [[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100=>00111 [[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100=>00111 [[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100=>00111 [[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100=>00111 [[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>01010=>01010 [[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>01010=>01010 [[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>01010=>01010 [[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>01010=>01010 [[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>01010=>01010 [[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010=>01011 [[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010=>01011 [[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010=>01011 [[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010=>01011 [[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010=>01011 [[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010=>01011 [[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010=>01011 [[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010=>01011 [[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010=>01011 [[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>11110=>01111 [[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>11110=>01111 [[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>11110=>01111 [[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>11110=>01111 [[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>11110=>01111 [[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>11111=>11111 [[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>000000=>000000 [[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000=>000001 [[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000=>000001 [[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000=>000001 [[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000=>000001 [[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000=>000001 [[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000=>000001 [[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000=>000010 [[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000=>000010 [[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000=>000010 [[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000=>000010 [[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000=>000010 [[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000=>000010 [[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000=>000010 [[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000=>000010 [[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000=>000010 [[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000=>000010 [[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000=>000010 [[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000=>000010 [[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000=>000010 [[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000=>000010 [[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000=>000011 [[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000=>000011 [[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000=>000011 [[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000=>000011 [[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000=>000011 [[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000=>000011 [[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000=>000011 [[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000=>000011 [[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000=>000011 [[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000=>000011 [[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000=>000011 [[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000=>000011 [[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000=>000011 [[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000=>000011 [[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000=>000011 [[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000=>000100 [[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000=>000100 [[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000=>000100 [[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000=>000100 [[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000=>000100 [[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000=>000100 [[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000=>000100 [[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000=>000100 [[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000=>000100 [[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000=>000100 [[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000=>000100 [[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000=>000100 [[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000=>000100 [[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000=>000100 [[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000=>000101 [[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000=>000101 [[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000=>000101 [[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000=>000101 [[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000=>000101 [[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000=>000101 [[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000=>000101 [[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000=>000101 [[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000=>000101 [[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000=>000101 [[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000=>000101 [[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000=>000101 [[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000=>000101 [[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000=>000101 [[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000=>000101 [[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000=>000101 [[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000=>000101 [[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000=>000101 [[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000=>000101 [[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000=>000101 [[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000=>000101 [[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000=>000101 [[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000=>000101 [[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000=>000101 [[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000=>000101 [[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000=>000101 [[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000=>000101 [[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000=>000101 [[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000=>000101 [[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000=>000101 [[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000=>000101 [[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000=>000101 [[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000=>000101 [[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000=>000101 [[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000=>000101 [[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000=>000111 [[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000=>000111 [[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000=>000111 [[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000=>000111 [[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000=>000111 [[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000=>000111 [[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000=>000111 [[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000=>000111 [[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000=>000111 [[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000=>000111 [[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000=>000111 [[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000=>000111 [[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000=>000111 [[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000=>000111 [[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000=>000111 [[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000=>000111 [[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000=>000111 [[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000=>000111 [[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000=>000111 [[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000=>000111 [[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100=>001001 [[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100=>001001 [[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100=>001001 [[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100=>001001 [[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100=>001001 [[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100=>001001 [[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100=>001001 [[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100=>001001 [[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100=>001001 [[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100=>001001 [[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100=>001001 [[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100=>001001 [[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100=>001001 [[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100=>001001 [[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100=>001001 [[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100=>001001 [[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100=>001001 [[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100=>001001 [[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100=>001001 [[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100=>001001 [[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100=>001001 [[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100=>001010 [[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100=>001010 [[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100=>001010 [[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100=>001010 [[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100=>001010 [[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100=>001010 [[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100=>001010 [[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100=>001010 [[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100=>001010 [[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100=>001010 [[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100=>001010 [[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100=>001010 [[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100=>001010 [[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100=>001010 [[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100=>001010 [[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100=>001010 [[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100=>001010 [[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100=>001010 [[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100=>001010 [[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100=>001010 [[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100=>001010 [[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100=>001011 [[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100=>001011 [[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100=>001011 [[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100=>001011 [[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100=>001011 [[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100=>001011 [[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100=>001011 [[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100=>001011 [[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100=>001011 [[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100=>001011 [[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100=>001011 [[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100=>001011 [[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100=>001011 [[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100=>001011 [[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100=>001011 [[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100=>001011 [[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100=>001011 [[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100=>001011 [[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100=>001011 [[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100=>001011 [[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100=>001011 [[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100=>001011 [[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100=>001011 [[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100=>001011 [[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100=>001011 [[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100=>001011 [[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100=>001011 [[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100=>001011 [[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100=>001011 [[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100=>001011 [[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100=>001011 [[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100=>001011 [[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100=>001011 [[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100=>001011 [[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100=>001011 [[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100=>001111 [[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100=>001111 [[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100=>001111 [[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100=>001111 [[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100=>001111 [[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100=>001111 [[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100=>001111 [[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100=>001111 [[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100=>001111 [[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100=>001111 [[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100=>001111 [[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100=>001111 [[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100=>001111 [[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100=>001111 [[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100=>001111 [[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010=>010101 [[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010=>010101 [[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010=>010101 [[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010=>010101 [[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010=>010101 [[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010=>010101 [[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010=>010101 [[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010=>010101 [[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010=>010101 [[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010=>010101 [[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010=>010101 [[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010=>010101 [[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010=>010101 [[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010=>010101 [[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010=>010111 [[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010=>010111 [[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010=>010111 [[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010=>010111 [[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010=>010111 [[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010=>010111 [[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010=>010111 [[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010=>010111 [[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010=>010111 [[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010=>010111 [[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010=>010111 [[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010=>010111 [[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010=>010111 [[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010=>010111 [[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110=>011111 [[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110=>011111 [[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110=>011111 [[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110=>011111 [[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110=>011111 [[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110=>011111 [[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>111111=>111111 [[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>0000000=>0000000 [[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000=>0000001 [[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000=>0000001 [[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000=>0000001 [[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000=>0000001 [[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000=>0000001 [[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000=>0000001 [[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000=>0000010 [[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000=>0000010 [[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000=>0000010 [[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000=>0000010 [[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000=>0000010 [[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000=>0000010 [[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000=>0000010 [[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000=>0000010 [[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000=>0000010 [[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000=>0000010 [[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000=>0000011 [[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000=>0000011 [[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000=>0000011 [[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000=>0000011 [[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000=>0000011 [[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000=>0000011 [[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000=>0000011 [[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000=>0000011 [[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000=>0000011 [[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000=>0000100 [[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000=>0000100 [[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000=>0000100 [[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000=>0000100 [[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000=>0000100 [[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000=>0000100 [[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000=>0000100 [[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000=>0000100 [[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000=>0000100 [[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000=>0000100 [[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000=>0000100 [[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000=>0000100 [[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000=>0000100 [[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000=>0000100 [[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000=>0000101 [[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000=>0000101 [[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000=>0000101 [[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000=>0000101 [[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000=>0000101 [[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000=>0000101 [[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000=>0000101 [[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000=>0000101 [[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000=>0000101 [[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000=>0000101 [[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>1010000=>0000101 [[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000=>0000101 [[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000=>0000101 [[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000=>0000101 [[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000=>0000101 [[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000=>0000101 [[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000=>0000101 [[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000=>0000101 [[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000=>0000101 [[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000=>0000101 [[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000=>0000101 [[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000=>0000101 [[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000=>0000101 [[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000=>0000101 [[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000=>0000101 [[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000=>0000101 [[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000=>0000101 [[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000=>0000101 [[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000=>0000101 [[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000=>0000101 [[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000=>0000111 [[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000=>0000111 [[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000=>0000111 [[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000=>0000111 [[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>1110000=>0000111 [[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000=>0000111 [[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>1110000=>0000111 [[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000=>0000111 [[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000=>0000111 [[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000=>0000111 [[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000=>0000111 [[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000=>0000111 [[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000=>0000111 [[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000=>0000111 [[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000=>0000111 [[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000=>0000111 [[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000=>0001000 [[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000=>0001000 [[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000=>0001000 [[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000=>0001000 [[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000=>0001000 [[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000=>0001000 [[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000=>0001000 [[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000=>0001001 [[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000=>0001001 [[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000=>0001001 [[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000=>0001001 [[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000=>0001001 [[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000=>0001001 [[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000=>0001001 [[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000=>0001001 [[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000=>0001001 [[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000=>0001001 [[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000=>0001001 [[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000=>0001001 [[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000=>0001001 [[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000=>0001001 [[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000=>0001001 [[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000=>0001001 [[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000=>0001001 [[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000=>0001001 [[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000=>0001001 [[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000=>0001001 [[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000=>0001001 [[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000=>0001001 [[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000=>0001001 [[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000=>0001001 [[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000=>0001001 [[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000=>0001001 [[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000=>0001001 [[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000=>0001001 [[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000=>0001001 [[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000=>0001001 [[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000=>0001001 [[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000=>0001001 [[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000=>0001001 [[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000=>0001001 [[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000=>0001001 [[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000=>0001001 [[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000=>0001001 [[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000=>0001010 [[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000=>0001010 [[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000=>0001010 [[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000=>0001010 [[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000=>0001010 [[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000=>0001010 [[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000=>0001010 [[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000=>0001010 [[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000=>0001010 [[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000=>0001010 [[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>0101000=>0001010 [[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000=>0001010 [[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000=>0001010 [[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000=>0001010 [[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000=>0001010 [[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000=>0001010 [[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000=>0001010 [[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000=>0001010 [[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000=>0001010 [[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000=>0001010 [[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000=>0001010 [[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000=>0001010 [[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>0101000=>0001010 [[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000=>0001010 [[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000=>0001010 [[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000=>0001010 [[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000=>0001010 [[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000=>0001010 [[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000=>0001010 [[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000=>0001011 [[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000=>0001011 [[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000=>0001011 [[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000=>0001011 [[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000=>0001011 [[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000=>0001011 [[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000=>0001011 [[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000=>0001011 [[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000=>0001011 [[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000=>0001011 [[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000=>0001011 [[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000=>0001011 [[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000=>0001011 [[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000=>0001011 [[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000=>0001011 [[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000=>0001011 [[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000=>0001011 [[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000=>0001011 [[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000=>0001011 [[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000=>0001011 [[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000=>0001011 [[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000=>0001011 [[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000=>0001011 [[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000=>0001011 [[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000=>0001011 [[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000=>0001011 [[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000=>0001011 [[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000=>0001011 [[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000=>0001011 [[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000=>0001011 [[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000=>0001011 [[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000=>0001011 [[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000=>0001011 [[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000=>0001011 [[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000=>0001011 [[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000=>0001011 [[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000=>0001011 [[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000=>0001011 [[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000=>0001011 [[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000=>0001011 [[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000=>0001011 [[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000=>0001011 [[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000=>0001011 [[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000=>0001011 [[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000=>0001011 [[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000=>0001011 [[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000=>0001011 [[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000=>0001011 [[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000=>0001011 [[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000=>0001011 [[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000=>0001011 [[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000=>0001011 [[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000=>0001011 [[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000=>0001011 [[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000=>0001011 [[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000=>0001011 [[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000=>0001011 [[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000=>0001011 [[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000=>0001011 [[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000=>0001111 [[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000=>0001111 [[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000=>0001111 [[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000=>0001111 [[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000=>0001111 [[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000=>0001111 [[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000=>0001111 [[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000=>0001111 [[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000=>0001111 [[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000=>0001111 [[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000=>0001111 [[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000=>0001111 [[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000=>0001111 [[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>1111000=>0001111 [[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000=>0001111 [[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000=>0001111 [[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>1111000=>0001111 [[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000=>0001111 [[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000=>0001111 [[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000=>0001111 [[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000=>0001111 [[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100=>0010010 [[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100=>0010010 [[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100=>0010010 [[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>0100100=>0010010 [[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100=>0010010 [[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100=>0010010 [[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100=>0010010 [[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100=>0010010 [[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100=>0010010 [[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100=>0010010 [[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>0100100=>0010010 [[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100=>0010010 [[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100=>0010010 [[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100=>0010010 [[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100=>0010010 [[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100=>0010010 [[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100=>0010010 [[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100=>0010010 [[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100=>0010010 [[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100=>0010010 [[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100=>0010010 [[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100=>0010011 [[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100=>0010011 [[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100=>0010011 [[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100=>0010011 [[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100=>0010011 [[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100=>0010011 [[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100=>0010011 [[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100=>0010011 [[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100=>0010011 [[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100=>0010011 [[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100=>0010011 [[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100=>0010011 [[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100=>0010011 [[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100=>0010011 [[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100=>0010011 [[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100=>0010011 [[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100=>0010011 [[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100=>0010011 [[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100=>0010011 [[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100=>0010011 [[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100=>0010011 [[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100=>0010011 [[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100=>0010011 [[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100=>0010011 [[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100=>0010011 [[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100=>0010011 [[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100=>0010011 [[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100=>0010011 [[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100=>0010011 [[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100=>0010011 [[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100=>0010101 [[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100=>0010101 [[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100=>0010101 [[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100=>0010101 [[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100=>0010101 [[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100=>0010101 [[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100=>0010101 [[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100=>0010101 [[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100=>0010101 [[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100=>0010101 [[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100=>0010101 [[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100=>0010101 [[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100=>0010101 [[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100=>0010101 [[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100=>0010101 [[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100=>0010101 [[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100=>0010101 [[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100=>0010101 [[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100=>0010101 [[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100=>0010101 [[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100=>0010101 [[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100=>0010101 [[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100=>0010101 [[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100=>0010101 [[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100=>0010101 [[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100=>0010101 [[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100=>0010101 [[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100=>0010101 [[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100=>0010101 [[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100=>0010101 [[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100=>0010101 [[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100=>0010101 [[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100=>0010101 [[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100=>0010101 [[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100=>0010101 [[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100=>0010111 [[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100=>0010111 [[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100=>0010111 [[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100=>0010111 [[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100=>0010111 [[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100=>0010111 [[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100=>0010111 [[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100=>0010111 [[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100=>0010111 [[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100=>0010111 [[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100=>0010111 [[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100=>0010111 [[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100=>0010111 [[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100=>0010111 [[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100=>0010111 [[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100=>0010111 [[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100=>0010111 [[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100=>0010111 [[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100=>0010111 [[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100=>0010111 [[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100=>0010111 [[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100=>0010111 [[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100=>0010111 [[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100=>0010111 [[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100=>0010111 [[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100=>0010111 [[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100=>0010111 [[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100=>0011111 [[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100=>0011111 [[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100=>0011111 [[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100=>0011111 [[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100=>0011111 [[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100=>0011111 [[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100=>0011111 [[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100=>0011111 [[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100=>0011111 [[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100=>0011111 [[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100=>0011111 [[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100=>0011111 [[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100=>0011111 [[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010=>0101010 [[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>0101010=>0101010 [[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>0101010=>0101010 [[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010=>0101010 [[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>0101010=>0101010 [[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>0101010=>0101010 [[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010=>0101010 [[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>0101010=>0101010 [[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010=>0101010 [[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010=>0101010 [[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010=>0101010 [[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>0101010=>0101010 [[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>0101010=>0101010 [[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010=>0101010 [[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010=>0101011 [[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010=>0101011 [[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010=>0101011 [[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010=>0101011 [[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010=>0101011 [[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010=>0101011 [[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>1101010=>0101011 [[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>1101010=>0101011 [[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010=>0101011 [[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010=>0101011 [[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010=>0101011 [[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010=>0101011 [[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>1101010=>0101011 [[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010=>0101011 [[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>1101010=>0101011 [[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010=>0101011 [[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010=>0101011 [[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010=>0101011 [[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010=>0101011 [[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010=>0101111 [[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010=>0101111 [[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010=>0101111 [[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010=>0101111 [[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010=>0101111 [[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010=>0101111 [[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010=>0101111 [[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010=>0101111 [[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010=>0101111 [[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010=>0101111 [[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010=>0101111 [[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110=>0111111 [[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110=>0111111 [[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110=>0111111 [[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>1111110=>0111111 [[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>1111110=>0111111 [[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110=>0111111 [[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110=>0111111 [[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>1111111=>1111111 [[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>000010000=>000010000 [[1,3,5,7,9,11],[2,4,6,8,10,12]]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>00000100000=>00000100000 [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>111110000=>000011111 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>010101010=>010101010 [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>01010101010=>01010101010 [[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>111100000=>000001111 [[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>111010000=>000010111 [[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>110101000=>000101011 [[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>101010100=>001010101