=>

[[1]]=>[1]=> [[1,2]]=>[1,2]=>0 [[1],[2]]=>[2,1]=>1 [[1,2,3]]=>[1,2,3]=>00 [[1,3],[2]]=>[2,1,3]=>10 [[1,2],[3]]=>[3,1,2]=>10 [[1],[2],[3]]=>[3,2,1]=>11 [[1,2,3,4]]=>[1,2,3,4]=>000 [[1,3,4],[2]]=>[2,1,3,4]=>100 [[1,2,4],[3]]=>[3,1,2,4]=>100 [[1,2,3],[4]]=>[4,1,2,3]=>100 [[1,3],[2,4]]=>[2,4,1,3]=>010 [[1,2],[3,4]]=>[3,4,1,2]=>010 [[1,4],[2],[3]]=>[3,2,1,4]=>110 [[1,3],[2],[4]]=>[4,2,1,3]=>110 [[1,2],[3],[4]]=>[4,3,1,2]=>110 [[1],[2],[3],[4]]=>[4,3,2,1]=>111 [[1,2,3,4,5]]=>[1,2,3,4,5]=>0000 [[1,3,4,5],[2]]=>[2,1,3,4,5]=>1000 [[1,2,4,5],[3]]=>[3,1,2,4,5]=>1000 [[1,2,3,5],[4]]=>[4,1,2,3,5]=>1000 [[1,2,3,4],[5]]=>[5,1,2,3,4]=>1000 [[1,3,5],[2,4]]=>[2,4,1,3,5]=>0100 [[1,2,5],[3,4]]=>[3,4,1,2,5]=>0100 [[1,3,4],[2,5]]=>[2,5,1,3,4]=>0100 [[1,2,4],[3,5]]=>[3,5,1,2,4]=>0100 [[1,2,3],[4,5]]=>[4,5,1,2,3]=>0100 [[1,4,5],[2],[3]]=>[3,2,1,4,5]=>1100 [[1,3,5],[2],[4]]=>[4,2,1,3,5]=>1100 [[1,2,5],[3],[4]]=>[4,3,1,2,5]=>1100 [[1,3,4],[2],[5]]=>[5,2,1,3,4]=>1100 [[1,2,4],[3],[5]]=>[5,3,1,2,4]=>1100 [[1,2,3],[4],[5]]=>[5,4,1,2,3]=>1100 [[1,4],[2,5],[3]]=>[3,2,5,1,4]=>1010 [[1,3],[2,5],[4]]=>[4,2,5,1,3]=>1010 [[1,2],[3,5],[4]]=>[4,3,5,1,2]=>1010 [[1,3],[2,4],[5]]=>[5,2,4,1,3]=>1010 [[1,2],[3,4],[5]]=>[5,3,4,1,2]=>1010 [[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>1110 [[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>1110 [[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>1110 [[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>1110 [[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>1111 [[1,2,3,4,5,6]]=>[1,2,3,4,5,6]=>00000 [[1,3,4,5,6],[2]]=>[2,1,3,4,5,6]=>10000 [[1,2,4,5,6],[3]]=>[3,1,2,4,5,6]=>10000 [[1,2,3,5,6],[4]]=>[4,1,2,3,5,6]=>10000 [[1,2,3,4,6],[5]]=>[5,1,2,3,4,6]=>10000 [[1,2,3,4,5],[6]]=>[6,1,2,3,4,5]=>10000 [[1,3,5,6],[2,4]]=>[2,4,1,3,5,6]=>01000 [[1,2,5,6],[3,4]]=>[3,4,1,2,5,6]=>01000 [[1,3,4,6],[2,5]]=>[2,5,1,3,4,6]=>01000 [[1,2,4,6],[3,5]]=>[3,5,1,2,4,6]=>01000 [[1,2,3,6],[4,5]]=>[4,5,1,2,3,6]=>01000 [[1,3,4,5],[2,6]]=>[2,6,1,3,4,5]=>01000 [[1,2,4,5],[3,6]]=>[3,6,1,2,4,5]=>01000 [[1,2,3,5],[4,6]]=>[4,6,1,2,3,5]=>01000 [[1,2,3,4],[5,6]]=>[5,6,1,2,3,4]=>01000 [[1,4,5,6],[2],[3]]=>[3,2,1,4,5,6]=>11000 [[1,3,5,6],[2],[4]]=>[4,2,1,3,5,6]=>11000 [[1,2,5,6],[3],[4]]=>[4,3,1,2,5,6]=>11000 [[1,3,4,6],[2],[5]]=>[5,2,1,3,4,6]=>11000 [[1,2,4,6],[3],[5]]=>[5,3,1,2,4,6]=>11000 [[1,2,3,6],[4],[5]]=>[5,4,1,2,3,6]=>11000 [[1,3,4,5],[2],[6]]=>[6,2,1,3,4,5]=>11000 [[1,2,4,5],[3],[6]]=>[6,3,1,2,4,5]=>11000 [[1,2,3,5],[4],[6]]=>[6,4,1,2,3,5]=>11000 [[1,2,3,4],[5],[6]]=>[6,5,1,2,3,4]=>11000 [[1,3,5],[2,4,6]]=>[2,4,6,1,3,5]=>00100 [[1,2,5],[3,4,6]]=>[3,4,6,1,2,5]=>00100 [[1,3,4],[2,5,6]]=>[2,5,6,1,3,4]=>00100 [[1,2,4],[3,5,6]]=>[3,5,6,1,2,4]=>00100 [[1,2,3],[4,5,6]]=>[4,5,6,1,2,3]=>00100 [[1,4,6],[2,5],[3]]=>[3,2,5,1,4,6]=>10100 [[1,3,6],[2,5],[4]]=>[4,2,5,1,3,6]=>10100 [[1,2,6],[3,5],[4]]=>[4,3,5,1,2,6]=>10100 [[1,3,6],[2,4],[5]]=>[5,2,4,1,3,6]=>10100 [[1,2,6],[3,4],[5]]=>[5,3,4,1,2,6]=>10100 [[1,4,5],[2,6],[3]]=>[3,2,6,1,4,5]=>10100 [[1,3,5],[2,6],[4]]=>[4,2,6,1,3,5]=>10100 [[1,2,5],[3,6],[4]]=>[4,3,6,1,2,5]=>10100 [[1,3,4],[2,6],[5]]=>[5,2,6,1,3,4]=>10100 [[1,2,4],[3,6],[5]]=>[5,3,6,1,2,4]=>10100 [[1,2,3],[4,6],[5]]=>[5,4,6,1,2,3]=>10100 [[1,3,5],[2,4],[6]]=>[6,2,4,1,3,5]=>10100 [[1,2,5],[3,4],[6]]=>[6,3,4,1,2,5]=>10100 [[1,3,4],[2,5],[6]]=>[6,2,5,1,3,4]=>10100 [[1,2,4],[3,5],[6]]=>[6,3,5,1,2,4]=>10100 [[1,2,3],[4,5],[6]]=>[6,4,5,1,2,3]=>10100 [[1,5,6],[2],[3],[4]]=>[4,3,2,1,5,6]=>11100 [[1,4,6],[2],[3],[5]]=>[5,3,2,1,4,6]=>11100 [[1,3,6],[2],[4],[5]]=>[5,4,2,1,3,6]=>11100 [[1,2,6],[3],[4],[5]]=>[5,4,3,1,2,6]=>11100 [[1,4,5],[2],[3],[6]]=>[6,3,2,1,4,5]=>11100 [[1,3,5],[2],[4],[6]]=>[6,4,2,1,3,5]=>11100 [[1,2,5],[3],[4],[6]]=>[6,4,3,1,2,5]=>11100 [[1,3,4],[2],[5],[6]]=>[6,5,2,1,3,4]=>11100 [[1,2,4],[3],[5],[6]]=>[6,5,3,1,2,4]=>11100 [[1,2,3],[4],[5],[6]]=>[6,5,4,1,2,3]=>11100 [[1,4],[2,5],[3,6]]=>[3,6,2,5,1,4]=>01010 [[1,3],[2,5],[4,6]]=>[4,6,2,5,1,3]=>01010 [[1,2],[3,5],[4,6]]=>[4,6,3,5,1,2]=>01010 [[1,3],[2,4],[5,6]]=>[5,6,2,4,1,3]=>01010 [[1,2],[3,4],[5,6]]=>[5,6,3,4,1,2]=>01010 [[1,5],[2,6],[3],[4]]=>[4,3,2,6,1,5]=>11010 [[1,4],[2,6],[3],[5]]=>[5,3,2,6,1,4]=>11010 [[1,3],[2,6],[4],[5]]=>[5,4,2,6,1,3]=>11010 [[1,2],[3,6],[4],[5]]=>[5,4,3,6,1,2]=>11010 [[1,4],[2,5],[3],[6]]=>[6,3,2,5,1,4]=>11010 [[1,3],[2,5],[4],[6]]=>[6,4,2,5,1,3]=>11010 [[1,2],[3,5],[4],[6]]=>[6,4,3,5,1,2]=>11010 [[1,3],[2,4],[5],[6]]=>[6,5,2,4,1,3]=>11010 [[1,2],[3,4],[5],[6]]=>[6,5,3,4,1,2]=>11010 [[1,6],[2],[3],[4],[5]]=>[5,4,3,2,1,6]=>11110 [[1,5],[2],[3],[4],[6]]=>[6,4,3,2,1,5]=>11110 [[1,4],[2],[3],[5],[6]]=>[6,5,3,2,1,4]=>11110 [[1,3],[2],[4],[5],[6]]=>[6,5,4,2,1,3]=>11110 [[1,2],[3],[4],[5],[6]]=>[6,5,4,3,1,2]=>11110 [[1],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1]=>11111 [[1,2,3,4,5,6,7]]=>[1,2,3,4,5,6,7]=>000000 [[1,3,4,5,6,7],[2]]=>[2,1,3,4,5,6,7]=>100000 [[1,2,4,5,6,7],[3]]=>[3,1,2,4,5,6,7]=>100000 [[1,2,3,5,6,7],[4]]=>[4,1,2,3,5,6,7]=>100000 [[1,2,3,4,6,7],[5]]=>[5,1,2,3,4,6,7]=>100000 [[1,2,3,4,5,7],[6]]=>[6,1,2,3,4,5,7]=>100000 [[1,2,3,4,5,6],[7]]=>[7,1,2,3,4,5,6]=>100000 [[1,3,5,6,7],[2,4]]=>[2,4,1,3,5,6,7]=>010000 [[1,2,5,6,7],[3,4]]=>[3,4,1,2,5,6,7]=>010000 [[1,3,4,6,7],[2,5]]=>[2,5,1,3,4,6,7]=>010000 [[1,2,4,6,7],[3,5]]=>[3,5,1,2,4,6,7]=>010000 [[1,2,3,6,7],[4,5]]=>[4,5,1,2,3,6,7]=>010000 [[1,3,4,5,7],[2,6]]=>[2,6,1,3,4,5,7]=>010000 [[1,2,4,5,7],[3,6]]=>[3,6,1,2,4,5,7]=>010000 [[1,2,3,5,7],[4,6]]=>[4,6,1,2,3,5,7]=>010000 [[1,2,3,4,7],[5,6]]=>[5,6,1,2,3,4,7]=>010000 [[1,3,4,5,6],[2,7]]=>[2,7,1,3,4,5,6]=>010000 [[1,2,4,5,6],[3,7]]=>[3,7,1,2,4,5,6]=>010000 [[1,2,3,5,6],[4,7]]=>[4,7,1,2,3,5,6]=>010000 [[1,2,3,4,6],[5,7]]=>[5,7,1,2,3,4,6]=>010000 [[1,2,3,4,5],[6,7]]=>[6,7,1,2,3,4,5]=>010000 [[1,4,5,6,7],[2],[3]]=>[3,2,1,4,5,6,7]=>110000 [[1,3,5,6,7],[2],[4]]=>[4,2,1,3,5,6,7]=>110000 [[1,2,5,6,7],[3],[4]]=>[4,3,1,2,5,6,7]=>110000 [[1,3,4,6,7],[2],[5]]=>[5,2,1,3,4,6,7]=>110000 [[1,2,4,6,7],[3],[5]]=>[5,3,1,2,4,6,7]=>110000 [[1,2,3,6,7],[4],[5]]=>[5,4,1,2,3,6,7]=>110000 [[1,3,4,5,7],[2],[6]]=>[6,2,1,3,4,5,7]=>110000 [[1,2,4,5,7],[3],[6]]=>[6,3,1,2,4,5,7]=>110000 [[1,2,3,5,7],[4],[6]]=>[6,4,1,2,3,5,7]=>110000 [[1,2,3,4,7],[5],[6]]=>[6,5,1,2,3,4,7]=>110000 [[1,3,4,5,6],[2],[7]]=>[7,2,1,3,4,5,6]=>110000 [[1,2,4,5,6],[3],[7]]=>[7,3,1,2,4,5,6]=>110000 [[1,2,3,5,6],[4],[7]]=>[7,4,1,2,3,5,6]=>110000 [[1,2,3,4,6],[5],[7]]=>[7,5,1,2,3,4,6]=>110000 [[1,2,3,4,5],[6],[7]]=>[7,6,1,2,3,4,5]=>110000 [[1,3,5,7],[2,4,6]]=>[2,4,6,1,3,5,7]=>001000 [[1,2,5,7],[3,4,6]]=>[3,4,6,1,2,5,7]=>001000 [[1,3,4,7],[2,5,6]]=>[2,5,6,1,3,4,7]=>001000 [[1,2,4,7],[3,5,6]]=>[3,5,6,1,2,4,7]=>001000 [[1,2,3,7],[4,5,6]]=>[4,5,6,1,2,3,7]=>001000 [[1,3,5,6],[2,4,7]]=>[2,4,7,1,3,5,6]=>001000 [[1,2,5,6],[3,4,7]]=>[3,4,7,1,2,5,6]=>001000 [[1,3,4,6],[2,5,7]]=>[2,5,7,1,3,4,6]=>001000 [[1,2,4,6],[3,5,7]]=>[3,5,7,1,2,4,6]=>001000 [[1,2,3,6],[4,5,7]]=>[4,5,7,1,2,3,6]=>001000 [[1,3,4,5],[2,6,7]]=>[2,6,7,1,3,4,5]=>001000 [[1,2,4,5],[3,6,7]]=>[3,6,7,1,2,4,5]=>001000 [[1,2,3,5],[4,6,7]]=>[4,6,7,1,2,3,5]=>001000 [[1,2,3,4],[5,6,7]]=>[5,6,7,1,2,3,4]=>001000 [[1,4,6,7],[2,5],[3]]=>[3,2,5,1,4,6,7]=>101000 [[1,3,6,7],[2,5],[4]]=>[4,2,5,1,3,6,7]=>101000 [[1,2,6,7],[3,5],[4]]=>[4,3,5,1,2,6,7]=>101000 [[1,3,6,7],[2,4],[5]]=>[5,2,4,1,3,6,7]=>101000 [[1,2,6,7],[3,4],[5]]=>[5,3,4,1,2,6,7]=>101000 [[1,4,5,7],[2,6],[3]]=>[3,2,6,1,4,5,7]=>101000 [[1,3,5,7],[2,6],[4]]=>[4,2,6,1,3,5,7]=>101000 [[1,2,5,7],[3,6],[4]]=>[4,3,6,1,2,5,7]=>101000 [[1,3,4,7],[2,6],[5]]=>[5,2,6,1,3,4,7]=>101000 [[1,2,4,7],[3,6],[5]]=>[5,3,6,1,2,4,7]=>101000 [[1,2,3,7],[4,6],[5]]=>[5,4,6,1,2,3,7]=>101000 [[1,3,5,7],[2,4],[6]]=>[6,2,4,1,3,5,7]=>101000 [[1,2,5,7],[3,4],[6]]=>[6,3,4,1,2,5,7]=>101000 [[1,3,4,7],[2,5],[6]]=>[6,2,5,1,3,4,7]=>101000 [[1,2,4,7],[3,5],[6]]=>[6,3,5,1,2,4,7]=>101000 [[1,2,3,7],[4,5],[6]]=>[6,4,5,1,2,3,7]=>101000 [[1,4,5,6],[2,7],[3]]=>[3,2,7,1,4,5,6]=>101000 [[1,3,5,6],[2,7],[4]]=>[4,2,7,1,3,5,6]=>101000 [[1,2,5,6],[3,7],[4]]=>[4,3,7,1,2,5,6]=>101000 [[1,3,4,6],[2,7],[5]]=>[5,2,7,1,3,4,6]=>101000 [[1,2,4,6],[3,7],[5]]=>[5,3,7,1,2,4,6]=>101000 [[1,2,3,6],[4,7],[5]]=>[5,4,7,1,2,3,6]=>101000 [[1,3,4,5],[2,7],[6]]=>[6,2,7,1,3,4,5]=>101000 [[1,2,4,5],[3,7],[6]]=>[6,3,7,1,2,4,5]=>101000 [[1,2,3,5],[4,7],[6]]=>[6,4,7,1,2,3,5]=>101000 [[1,2,3,4],[5,7],[6]]=>[6,5,7,1,2,3,4]=>101000 [[1,3,5,6],[2,4],[7]]=>[7,2,4,1,3,5,6]=>101000 [[1,2,5,6],[3,4],[7]]=>[7,3,4,1,2,5,6]=>101000 [[1,3,4,6],[2,5],[7]]=>[7,2,5,1,3,4,6]=>101000 [[1,2,4,6],[3,5],[7]]=>[7,3,5,1,2,4,6]=>101000 [[1,2,3,6],[4,5],[7]]=>[7,4,5,1,2,3,6]=>101000 [[1,3,4,5],[2,6],[7]]=>[7,2,6,1,3,4,5]=>101000 [[1,2,4,5],[3,6],[7]]=>[7,3,6,1,2,4,5]=>101000 [[1,2,3,5],[4,6],[7]]=>[7,4,6,1,2,3,5]=>101000 [[1,2,3,4],[5,6],[7]]=>[7,5,6,1,2,3,4]=>101000 [[1,5,6,7],[2],[3],[4]]=>[4,3,2,1,5,6,7]=>111000 [[1,4,6,7],[2],[3],[5]]=>[5,3,2,1,4,6,7]=>111000 [[1,3,6,7],[2],[4],[5]]=>[5,4,2,1,3,6,7]=>111000 [[1,2,6,7],[3],[4],[5]]=>[5,4,3,1,2,6,7]=>111000 [[1,4,5,7],[2],[3],[6]]=>[6,3,2,1,4,5,7]=>111000 [[1,3,5,7],[2],[4],[6]]=>[6,4,2,1,3,5,7]=>111000 [[1,2,5,7],[3],[4],[6]]=>[6,4,3,1,2,5,7]=>111000 [[1,3,4,7],[2],[5],[6]]=>[6,5,2,1,3,4,7]=>111000 [[1,2,4,7],[3],[5],[6]]=>[6,5,3,1,2,4,7]=>111000 [[1,2,3,7],[4],[5],[6]]=>[6,5,4,1,2,3,7]=>111000 [[1,4,5,6],[2],[3],[7]]=>[7,3,2,1,4,5,6]=>111000 [[1,3,5,6],[2],[4],[7]]=>[7,4,2,1,3,5,6]=>111000 [[1,2,5,6],[3],[4],[7]]=>[7,4,3,1,2,5,6]=>111000 [[1,3,4,6],[2],[5],[7]]=>[7,5,2,1,3,4,6]=>111000 [[1,2,4,6],[3],[5],[7]]=>[7,5,3,1,2,4,6]=>111000 [[1,2,3,6],[4],[5],[7]]=>[7,5,4,1,2,3,6]=>111000 [[1,3,4,5],[2],[6],[7]]=>[7,6,2,1,3,4,5]=>111000 [[1,2,4,5],[3],[6],[7]]=>[7,6,3,1,2,4,5]=>111000 [[1,2,3,5],[4],[6],[7]]=>[7,6,4,1,2,3,5]=>111000 [[1,2,3,4],[5],[6],[7]]=>[7,6,5,1,2,3,4]=>111000 [[1,4,6],[2,5,7],[3]]=>[3,2,5,7,1,4,6]=>100100 [[1,3,6],[2,5,7],[4]]=>[4,2,5,7,1,3,6]=>100100 [[1,2,6],[3,5,7],[4]]=>[4,3,5,7,1,2,6]=>100100 [[1,3,6],[2,4,7],[5]]=>[5,2,4,7,1,3,6]=>100100 [[1,2,6],[3,4,7],[5]]=>[5,3,4,7,1,2,6]=>100100 [[1,4,5],[2,6,7],[3]]=>[3,2,6,7,1,4,5]=>100100 [[1,3,5],[2,6,7],[4]]=>[4,2,6,7,1,3,5]=>100100 [[1,2,5],[3,6,7],[4]]=>[4,3,6,7,1,2,5]=>100100 [[1,3,4],[2,6,7],[5]]=>[5,2,6,7,1,3,4]=>100100 [[1,2,4],[3,6,7],[5]]=>[5,3,6,7,1,2,4]=>100100 [[1,2,3],[4,6,7],[5]]=>[5,4,6,7,1,2,3]=>100100 [[1,3,5],[2,4,7],[6]]=>[6,2,4,7,1,3,5]=>100100 [[1,2,5],[3,4,7],[6]]=>[6,3,4,7,1,2,5]=>100100 [[1,3,4],[2,5,7],[6]]=>[6,2,5,7,1,3,4]=>100100 [[1,2,4],[3,5,7],[6]]=>[6,3,5,7,1,2,4]=>100100 [[1,2,3],[4,5,7],[6]]=>[6,4,5,7,1,2,3]=>100100 [[1,3,5],[2,4,6],[7]]=>[7,2,4,6,1,3,5]=>100100 [[1,2,5],[3,4,6],[7]]=>[7,3,4,6,1,2,5]=>100100 [[1,3,4],[2,5,6],[7]]=>[7,2,5,6,1,3,4]=>100100 [[1,2,4],[3,5,6],[7]]=>[7,3,5,6,1,2,4]=>100100 [[1,2,3],[4,5,6],[7]]=>[7,4,5,6,1,2,3]=>100100 [[1,4,7],[2,5],[3,6]]=>[3,6,2,5,1,4,7]=>010100 [[1,3,7],[2,5],[4,6]]=>[4,6,2,5,1,3,7]=>010100 [[1,2,7],[3,5],[4,6]]=>[4,6,3,5,1,2,7]=>010100 [[1,3,7],[2,4],[5,6]]=>[5,6,2,4,1,3,7]=>010100 [[1,2,7],[3,4],[5,6]]=>[5,6,3,4,1,2,7]=>010100 [[1,4,6],[2,5],[3,7]]=>[3,7,2,5,1,4,6]=>010100 [[1,3,6],[2,5],[4,7]]=>[4,7,2,5,1,3,6]=>010100 [[1,2,6],[3,5],[4,7]]=>[4,7,3,5,1,2,6]=>010100 [[1,3,6],[2,4],[5,7]]=>[5,7,2,4,1,3,6]=>010100 [[1,2,6],[3,4],[5,7]]=>[5,7,3,4,1,2,6]=>010100 [[1,4,5],[2,6],[3,7]]=>[3,7,2,6,1,4,5]=>010100 [[1,3,5],[2,6],[4,7]]=>[4,7,2,6,1,3,5]=>010100 [[1,2,5],[3,6],[4,7]]=>[4,7,3,6,1,2,5]=>010100 [[1,3,4],[2,6],[5,7]]=>[5,7,2,6,1,3,4]=>010100 [[1,2,4],[3,6],[5,7]]=>[5,7,3,6,1,2,4]=>010100 [[1,2,3],[4,6],[5,7]]=>[5,7,4,6,1,2,3]=>010100 [[1,3,5],[2,4],[6,7]]=>[6,7,2,4,1,3,5]=>010100 [[1,2,5],[3,4],[6,7]]=>[6,7,3,4,1,2,5]=>010100 [[1,3,4],[2,5],[6,7]]=>[6,7,2,5,1,3,4]=>010100 [[1,2,4],[3,5],[6,7]]=>[6,7,3,5,1,2,4]=>010100 [[1,2,3],[4,5],[6,7]]=>[6,7,4,5,1,2,3]=>010100 [[1,5,7],[2,6],[3],[4]]=>[4,3,2,6,1,5,7]=>110100 [[1,4,7],[2,6],[3],[5]]=>[5,3,2,6,1,4,7]=>110100 [[1,3,7],[2,6],[4],[5]]=>[5,4,2,6,1,3,7]=>110100 [[1,2,7],[3,6],[4],[5]]=>[5,4,3,6,1,2,7]=>110100 [[1,4,7],[2,5],[3],[6]]=>[6,3,2,5,1,4,7]=>110100 [[1,3,7],[2,5],[4],[6]]=>[6,4,2,5,1,3,7]=>110100 [[1,2,7],[3,5],[4],[6]]=>[6,4,3,5,1,2,7]=>110100 [[1,3,7],[2,4],[5],[6]]=>[6,5,2,4,1,3,7]=>110100 [[1,2,7],[3,4],[5],[6]]=>[6,5,3,4,1,2,7]=>110100 [[1,5,6],[2,7],[3],[4]]=>[4,3,2,7,1,5,6]=>110100 [[1,4,6],[2,7],[3],[5]]=>[5,3,2,7,1,4,6]=>110100 [[1,3,6],[2,7],[4],[5]]=>[5,4,2,7,1,3,6]=>110100 [[1,2,6],[3,7],[4],[5]]=>[5,4,3,7,1,2,6]=>110100 [[1,4,5],[2,7],[3],[6]]=>[6,3,2,7,1,4,5]=>110100 [[1,3,5],[2,7],[4],[6]]=>[6,4,2,7,1,3,5]=>110100 [[1,2,5],[3,7],[4],[6]]=>[6,4,3,7,1,2,5]=>110100 [[1,3,4],[2,7],[5],[6]]=>[6,5,2,7,1,3,4]=>110100 [[1,2,4],[3,7],[5],[6]]=>[6,5,3,7,1,2,4]=>110100 [[1,2,3],[4,7],[5],[6]]=>[6,5,4,7,1,2,3]=>110100 [[1,4,6],[2,5],[3],[7]]=>[7,3,2,5,1,4,6]=>110100 [[1,3,6],[2,5],[4],[7]]=>[7,4,2,5,1,3,6]=>110100 [[1,2,6],[3,5],[4],[7]]=>[7,4,3,5,1,2,6]=>110100 [[1,3,6],[2,4],[5],[7]]=>[7,5,2,4,1,3,6]=>110100 [[1,2,6],[3,4],[5],[7]]=>[7,5,3,4,1,2,6]=>110100 [[1,4,5],[2,6],[3],[7]]=>[7,3,2,6,1,4,5]=>110100 [[1,3,5],[2,6],[4],[7]]=>[7,4,2,6,1,3,5]=>110100 [[1,2,5],[3,6],[4],[7]]=>[7,4,3,6,1,2,5]=>110100 [[1,3,4],[2,6],[5],[7]]=>[7,5,2,6,1,3,4]=>110100 [[1,2,4],[3,6],[5],[7]]=>[7,5,3,6,1,2,4]=>110100 [[1,2,3],[4,6],[5],[7]]=>[7,5,4,6,1,2,3]=>110100 [[1,3,5],[2,4],[6],[7]]=>[7,6,2,4,1,3,5]=>110100 [[1,2,5],[3,4],[6],[7]]=>[7,6,3,4,1,2,5]=>110100 [[1,3,4],[2,5],[6],[7]]=>[7,6,2,5,1,3,4]=>110100 [[1,2,4],[3,5],[6],[7]]=>[7,6,3,5,1,2,4]=>110100 [[1,2,3],[4,5],[6],[7]]=>[7,6,4,5,1,2,3]=>110100 [[1,6,7],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7]=>111100 [[1,5,7],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7]=>111100 [[1,4,7],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7]=>111100 [[1,3,7],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7]=>111100 [[1,2,7],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7]=>111100 [[1,5,6],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6]=>111100 [[1,4,6],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6]=>111100 [[1,3,6],[2],[4],[5],[7]]=>[7,5,4,2,1,3,6]=>111100 [[1,2,6],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6]=>111100 [[1,4,5],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5]=>111100 [[1,3,5],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5]=>111100 [[1,2,5],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5]=>111100 [[1,3,4],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4]=>111100 [[1,2,4],[3],[5],[6],[7]]=>[7,6,5,3,1,2,4]=>111100 [[1,2,3],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3]=>111100 [[1,5],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5]=>101010 [[1,4],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4]=>101010 [[1,3],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3]=>101010 [[1,2],[3,6],[4,7],[5]]=>[5,4,7,3,6,1,2]=>101010 [[1,4],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4]=>101010 [[1,3],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3]=>101010 [[1,2],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2]=>101010 [[1,3],[2,4],[5,7],[6]]=>[6,5,7,2,4,1,3]=>101010 [[1,2],[3,4],[5,7],[6]]=>[6,5,7,3,4,1,2]=>101010 [[1,4],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4]=>101010 [[1,3],[2,5],[4,6],[7]]=>[7,4,6,2,5,1,3]=>101010 [[1,2],[3,5],[4,6],[7]]=>[7,4,6,3,5,1,2]=>101010 [[1,3],[2,4],[5,6],[7]]=>[7,5,6,2,4,1,3]=>101010 [[1,2],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2]=>101010 [[1,6],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6]=>111010 [[1,5],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5]=>111010 [[1,4],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4]=>111010 [[1,3],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3]=>111010 [[1,2],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2]=>111010 [[1,5],[2,6],[3],[4],[7]]=>[7,4,3,2,6,1,5]=>111010 [[1,4],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4]=>111010 [[1,3],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3]=>111010 [[1,2],[3,6],[4],[5],[7]]=>[7,5,4,3,6,1,2]=>111010 [[1,4],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4]=>111010 [[1,3],[2,5],[4],[6],[7]]=>[7,6,4,2,5,1,3]=>111010 [[1,2],[3,5],[4],[6],[7]]=>[7,6,4,3,5,1,2]=>111010 [[1,3],[2,4],[5],[6],[7]]=>[7,6,5,2,4,1,3]=>111010 [[1,2],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2]=>111010 [[1,7],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7]=>111110 [[1,6],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6]=>111110 [[1,5],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5]=>111110 [[1,4],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4]=>111110 [[1,3],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3]=>111110 [[1,2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2]=>111110 [[1],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1]=>111111 [[1,2,3,4,5,6,7,8]]=>[1,2,3,4,5,6,7,8]=>0000000 [[1,3,4,5,6,7,8],[2]]=>[2,1,3,4,5,6,7,8]=>1000000 [[1,2,4,5,6,7,8],[3]]=>[3,1,2,4,5,6,7,8]=>1000000 [[1,2,3,5,6,7,8],[4]]=>[4,1,2,3,5,6,7,8]=>1000000 [[1,2,3,4,6,7,8],[5]]=>[5,1,2,3,4,6,7,8]=>1000000 [[1,2,3,4,5,7,8],[6]]=>[6,1,2,3,4,5,7,8]=>1000000 [[1,2,3,4,5,6,8],[7]]=>[7,1,2,3,4,5,6,8]=>1000000 [[1,2,3,4,5,6,7],[8]]=>[8,1,2,3,4,5,6,7]=>1000000 [[1,3,5,6,7,8],[2,4]]=>[2,4,1,3,5,6,7,8]=>0100000 [[1,2,5,6,7,8],[3,4]]=>[3,4,1,2,5,6,7,8]=>0100000 [[1,3,4,6,7,8],[2,5]]=>[2,5,1,3,4,6,7,8]=>0100000 [[1,2,4,6,7,8],[3,5]]=>[3,5,1,2,4,6,7,8]=>0100000 [[1,2,3,6,7,8],[4,5]]=>[4,5,1,2,3,6,7,8]=>0100000 [[1,3,4,5,7,8],[2,6]]=>[2,6,1,3,4,5,7,8]=>0100000 [[1,2,4,5,7,8],[3,6]]=>[3,6,1,2,4,5,7,8]=>0100000 [[1,2,3,5,7,8],[4,6]]=>[4,6,1,2,3,5,7,8]=>0100000 [[1,3,4,5,6,8],[2,7]]=>[2,7,1,3,4,5,6,8]=>0100000 [[1,2,4,5,6,8],[3,7]]=>[3,7,1,2,4,5,6,8]=>0100000 [[1,2,3,5,6,8],[4,7]]=>[4,7,1,2,3,5,6,8]=>0100000 [[1,2,3,4,6,8],[5,7]]=>[5,7,1,2,3,4,6,8]=>0100000 [[1,2,3,4,5,8],[6,7]]=>[6,7,1,2,3,4,5,8]=>0100000 [[1,3,4,5,6,7],[2,8]]=>[2,8,1,3,4,5,6,7]=>0100000 [[1,2,4,5,6,7],[3,8]]=>[3,8,1,2,4,5,6,7]=>0100000 [[1,2,3,5,6,7],[4,8]]=>[4,8,1,2,3,5,6,7]=>0100000 [[1,2,3,4,6,7],[5,8]]=>[5,8,1,2,3,4,6,7]=>0100000 [[1,2,3,4,5,7],[6,8]]=>[6,8,1,2,3,4,5,7]=>0100000 [[1,2,3,4,5,6],[7,8]]=>[7,8,1,2,3,4,5,6]=>0100000 [[1,4,5,6,7,8],[2],[3]]=>[3,2,1,4,5,6,7,8]=>1100000 [[1,3,5,6,7,8],[2],[4]]=>[4,2,1,3,5,6,7,8]=>1100000 [[1,2,5,6,7,8],[3],[4]]=>[4,3,1,2,5,6,7,8]=>1100000 [[1,3,4,6,7,8],[2],[5]]=>[5,2,1,3,4,6,7,8]=>1100000 [[1,2,4,6,7,8],[3],[5]]=>[5,3,1,2,4,6,7,8]=>1100000 [[1,2,3,6,7,8],[4],[5]]=>[5,4,1,2,3,6,7,8]=>1100000 [[1,3,4,5,7,8],[2],[6]]=>[6,2,1,3,4,5,7,8]=>1100000 [[1,2,4,5,7,8],[3],[6]]=>[6,3,1,2,4,5,7,8]=>1100000 [[1,2,3,5,7,8],[4],[6]]=>[6,4,1,2,3,5,7,8]=>1100000 [[1,3,4,5,6,8],[2],[7]]=>[7,2,1,3,4,5,6,8]=>1100000 [[1,2,4,5,6,8],[3],[7]]=>[7,3,1,2,4,5,6,8]=>1100000 [[1,2,3,5,6,8],[4],[7]]=>[7,4,1,2,3,5,6,8]=>1100000 [[1,2,3,4,6,8],[5],[7]]=>[7,5,1,2,3,4,6,8]=>1100000 [[1,2,3,4,5,8],[6],[7]]=>[7,6,1,2,3,4,5,8]=>1100000 [[1,3,4,5,6,7],[2],[8]]=>[8,2,1,3,4,5,6,7]=>1100000 [[1,2,4,5,6,7],[3],[8]]=>[8,3,1,2,4,5,6,7]=>1100000 [[1,2,3,5,6,7],[4],[8]]=>[8,4,1,2,3,5,6,7]=>1100000 [[1,2,3,4,6,7],[5],[8]]=>[8,5,1,2,3,4,6,7]=>1100000 [[1,2,3,4,5,7],[6],[8]]=>[8,6,1,2,3,4,5,7]=>1100000 [[1,2,3,4,5,6],[7],[8]]=>[8,7,1,2,3,4,5,6]=>1100000 [[1,3,5,7,8],[2,4,6]]=>[2,4,6,1,3,5,7,8]=>0010000 [[1,2,4,7,8],[3,5,6]]=>[3,5,6,1,2,4,7,8]=>0010000 [[1,2,3,7,8],[4,5,6]]=>[4,5,6,1,2,3,7,8]=>0010000 [[1,2,4,6,8],[3,5,7]]=>[3,5,7,1,2,4,6,8]=>0010000 [[1,3,4,5,8],[2,6,7]]=>[2,6,7,1,3,4,5,8]=>0010000 [[1,2,4,5,8],[3,6,7]]=>[3,6,7,1,2,4,5,8]=>0010000 [[1,2,3,5,8],[4,6,7]]=>[4,6,7,1,2,3,5,8]=>0010000 [[1,2,3,4,8],[5,6,7]]=>[5,6,7,1,2,3,4,8]=>0010000 [[1,3,5,6,7],[2,4,8]]=>[2,4,8,1,3,5,6,7]=>0010000 [[1,2,5,6,7],[3,4,8]]=>[3,4,8,1,2,5,6,7]=>0010000 [[1,3,4,6,7],[2,5,8]]=>[2,5,8,1,3,4,6,7]=>0010000 [[1,2,3,6,7],[4,5,8]]=>[4,5,8,1,2,3,6,7]=>0010000 [[1,3,4,5,7],[2,6,8]]=>[2,6,8,1,3,4,5,7]=>0010000 [[1,2,4,5,7],[3,6,8]]=>[3,6,8,1,2,4,5,7]=>0010000 [[1,2,3,5,7],[4,6,8]]=>[4,6,8,1,2,3,5,7]=>0010000 [[1,2,3,4,7],[5,6,8]]=>[5,6,8,1,2,3,4,7]=>0010000 [[1,3,4,5,6],[2,7,8]]=>[2,7,8,1,3,4,5,6]=>0010000 [[1,2,4,5,6],[3,7,8]]=>[3,7,8,1,2,4,5,6]=>0010000 [[1,2,3,5,6],[4,7,8]]=>[4,7,8,1,2,3,5,6]=>0010000 [[1,2,3,4,6],[5,7,8]]=>[5,7,8,1,2,3,4,6]=>0010000 [[1,2,3,4,5],[6,7,8]]=>[6,7,8,1,2,3,4,5]=>0010000 [[1,4,6,7,8],[2,5],[3]]=>[3,2,5,1,4,6,7,8]=>1010000 [[1,3,6,7,8],[2,5],[4]]=>[4,2,5,1,3,6,7,8]=>1010000 [[1,2,6,7,8],[3,5],[4]]=>[4,3,5,1,2,6,7,8]=>1010000 [[1,3,6,7,8],[2,4],[5]]=>[5,2,4,1,3,6,7,8]=>1010000 [[1,2,6,7,8],[3,4],[5]]=>[5,3,4,1,2,6,7,8]=>1010000 [[1,4,5,7,8],[2,6],[3]]=>[3,2,6,1,4,5,7,8]=>1010000 [[1,3,5,7,8],[2,6],[4]]=>[4,2,6,1,3,5,7,8]=>1010000 [[1,2,4,7,8],[3,6],[5]]=>[5,3,6,1,2,4,7,8]=>1010000 [[1,3,5,7,8],[2,4],[6]]=>[6,2,4,1,3,5,7,8]=>1010000 [[1,2,4,7,8],[3,5],[6]]=>[6,3,5,1,2,4,7,8]=>1010000 [[1,3,4,6,8],[2,7],[5]]=>[5,2,7,1,3,4,6,8]=>1010000 [[1,2,4,6,8],[3,7],[5]]=>[5,3,7,1,2,4,6,8]=>1010000 [[1,2,3,6,8],[4,7],[5]]=>[5,4,7,1,2,3,6,8]=>1010000 [[1,3,4,5,8],[2,7],[6]]=>[6,2,7,1,3,4,5,8]=>1010000 [[1,2,4,5,8],[3,7],[6]]=>[6,3,7,1,2,4,5,8]=>1010000 [[1,2,3,5,8],[4,7],[6]]=>[6,4,7,1,2,3,5,8]=>1010000 [[1,2,3,4,8],[5,7],[6]]=>[6,5,7,1,2,3,4,8]=>1010000 [[1,2,5,6,8],[3,4],[7]]=>[7,3,4,1,2,5,6,8]=>1010000 [[1,2,4,6,8],[3,5],[7]]=>[7,3,5,1,2,4,6,8]=>1010000 [[1,2,3,6,8],[4,5],[7]]=>[7,4,5,1,2,3,6,8]=>1010000 [[1,2,4,5,8],[3,6],[7]]=>[7,3,6,1,2,4,5,8]=>1010000 [[1,2,3,5,8],[4,6],[7]]=>[7,4,6,1,2,3,5,8]=>1010000 [[1,2,3,4,8],[5,6],[7]]=>[7,5,6,1,2,3,4,8]=>1010000 [[1,4,5,6,7],[2,8],[3]]=>[3,2,8,1,4,5,6,7]=>1010000 [[1,3,5,6,7],[2,8],[4]]=>[4,2,8,1,3,5,6,7]=>1010000 [[1,3,4,6,7],[2,8],[5]]=>[5,2,8,1,3,4,6,7]=>1010000 [[1,2,3,6,7],[4,8],[5]]=>[5,4,8,1,2,3,6,7]=>1010000 [[1,3,4,5,7],[2,8],[6]]=>[6,2,8,1,3,4,5,7]=>1010000 [[1,2,4,5,7],[3,8],[6]]=>[6,3,8,1,2,4,5,7]=>1010000 [[1,2,3,5,7],[4,8],[6]]=>[6,4,8,1,2,3,5,7]=>1010000 [[1,2,3,4,7],[5,8],[6]]=>[6,5,8,1,2,3,4,7]=>1010000 [[1,3,4,5,6],[2,8],[7]]=>[7,2,8,1,3,4,5,6]=>1010000 [[1,2,4,5,6],[3,8],[7]]=>[7,3,8,1,2,4,5,6]=>1010000 [[1,2,3,5,6],[4,8],[7]]=>[7,4,8,1,2,3,5,6]=>1010000 [[1,2,3,4,6],[5,8],[7]]=>[7,5,8,1,2,3,4,6]=>1010000 [[1,2,3,4,5],[6,8],[7]]=>[7,6,8,1,2,3,4,5]=>1010000 [[1,3,5,6,7],[2,4],[8]]=>[8,2,4,1,3,5,6,7]=>1010000 [[1,2,5,6,7],[3,4],[8]]=>[8,3,4,1,2,5,6,7]=>1010000 [[1,2,4,6,7],[3,5],[8]]=>[8,3,5,1,2,4,6,7]=>1010000 [[1,2,3,6,7],[4,5],[8]]=>[8,4,5,1,2,3,6,7]=>1010000 [[1,2,4,5,7],[3,6],[8]]=>[8,3,6,1,2,4,5,7]=>1010000 [[1,2,3,4,7],[5,6],[8]]=>[8,5,6,1,2,3,4,7]=>1010000 [[1,2,4,5,6],[3,7],[8]]=>[8,3,7,1,2,4,5,6]=>1010000 [[1,2,3,5,6],[4,7],[8]]=>[8,4,7,1,2,3,5,6]=>1010000 [[1,2,3,4,6],[5,7],[8]]=>[8,5,7,1,2,3,4,6]=>1010000 [[1,2,3,4,5],[6,7],[8]]=>[8,6,7,1,2,3,4,5]=>1010000 [[1,5,6,7,8],[2],[3],[4]]=>[4,3,2,1,5,6,7,8]=>1110000 [[1,4,6,7,8],[2],[3],[5]]=>[5,3,2,1,4,6,7,8]=>1110000 [[1,3,6,7,8],[2],[4],[5]]=>[5,4,2,1,3,6,7,8]=>1110000 [[1,2,6,7,8],[3],[4],[5]]=>[5,4,3,1,2,6,7,8]=>1110000 [[1,4,5,7,8],[2],[3],[6]]=>[6,3,2,1,4,5,7,8]=>1110000 [[1,3,5,7,8],[2],[4],[6]]=>[6,4,2,1,3,5,7,8]=>1110000 [[1,2,5,7,8],[3],[4],[6]]=>[6,4,3,1,2,5,7,8]=>1110000 [[1,2,3,7,8],[4],[5],[6]]=>[6,5,4,1,2,3,7,8]=>1110000 [[1,4,5,6,8],[2],[3],[7]]=>[7,3,2,1,4,5,6,8]=>1110000 [[1,2,5,6,8],[3],[4],[7]]=>[7,4,3,1,2,5,6,8]=>1110000 [[1,2,4,6,8],[3],[5],[7]]=>[7,5,3,1,2,4,6,8]=>1110000 [[1,2,3,4,8],[5],[6],[7]]=>[7,6,5,1,2,3,4,8]=>1110000 [[1,4,5,6,7],[2],[3],[8]]=>[8,3,2,1,4,5,6,7]=>1110000 [[1,3,5,6,7],[2],[4],[8]]=>[8,4,2,1,3,5,6,7]=>1110000 [[1,3,4,6,7],[2],[5],[8]]=>[8,5,2,1,3,4,6,7]=>1110000 [[1,2,4,6,7],[3],[5],[8]]=>[8,5,3,1,2,4,6,7]=>1110000 [[1,2,3,6,7],[4],[5],[8]]=>[8,5,4,1,2,3,6,7]=>1110000 [[1,2,3,5,7],[4],[6],[8]]=>[8,6,4,1,2,3,5,7]=>1110000 [[1,2,3,4,7],[5],[6],[8]]=>[8,6,5,1,2,3,4,7]=>1110000 [[1,3,4,5,6],[2],[7],[8]]=>[8,7,2,1,3,4,5,6]=>1110000 [[1,2,3,5,6],[4],[7],[8]]=>[8,7,4,1,2,3,5,6]=>1110000 [[1,2,3,4,6],[5],[7],[8]]=>[8,7,5,1,2,3,4,6]=>1110000 [[1,2,3,4,5],[6],[7],[8]]=>[8,7,6,1,2,3,4,5]=>1110000 [[1,3,5,7],[2,4,6,8]]=>[2,4,6,8,1,3,5,7]=>0001000 [[1,2,5,7],[3,4,6,8]]=>[3,4,6,8,1,2,5,7]=>0001000 [[1,3,4,7],[2,5,6,8]]=>[2,5,6,8,1,3,4,7]=>0001000 [[1,2,4,7],[3,5,6,8]]=>[3,5,6,8,1,2,4,7]=>0001000 [[1,2,3,7],[4,5,6,8]]=>[4,5,6,8,1,2,3,7]=>0001000 [[1,3,5,6],[2,4,7,8]]=>[2,4,7,8,1,3,5,6]=>0001000 [[1,2,5,6],[3,4,7,8]]=>[3,4,7,8,1,2,5,6]=>0001000 [[1,3,4,6],[2,5,7,8]]=>[2,5,7,8,1,3,4,6]=>0001000 [[1,2,4,6],[3,5,7,8]]=>[3,5,7,8,1,2,4,6]=>0001000 [[1,2,3,6],[4,5,7,8]]=>[4,5,7,8,1,2,3,6]=>0001000 [[1,3,4,5],[2,6,7,8]]=>[2,6,7,8,1,3,4,5]=>0001000 [[1,2,4,5],[3,6,7,8]]=>[3,6,7,8,1,2,4,5]=>0001000 [[1,2,3,5],[4,6,7,8]]=>[4,6,7,8,1,2,3,5]=>0001000 [[1,2,3,4],[5,6,7,8]]=>[5,6,7,8,1,2,3,4]=>0001000 [[1,4,6,8],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8]=>1001000 [[1,3,6,8],[2,5,7],[4]]=>[4,2,5,7,1,3,6,8]=>1001000 [[1,2,6,8],[3,5,7],[4]]=>[4,3,5,7,1,2,6,8]=>1001000 [[1,3,6,8],[2,4,7],[5]]=>[5,2,4,7,1,3,6,8]=>1001000 [[1,2,6,8],[3,4,7],[5]]=>[5,3,4,7,1,2,6,8]=>1001000 [[1,3,5,8],[2,6,7],[4]]=>[4,2,6,7,1,3,5,8]=>1001000 [[1,3,4,8],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8]=>1001000 [[1,2,4,8],[3,6,7],[5]]=>[5,3,6,7,1,2,4,8]=>1001000 [[1,2,3,8],[4,6,7],[5]]=>[5,4,6,7,1,2,3,8]=>1001000 [[1,3,4,8],[2,5,7],[6]]=>[6,2,5,7,1,3,4,8]=>1001000 [[1,2,4,8],[3,5,7],[6]]=>[6,3,5,7,1,2,4,8]=>1001000 [[1,3,5,8],[2,4,6],[7]]=>[7,2,4,6,1,3,5,8]=>1001000 [[1,2,5,8],[3,4,6],[7]]=>[7,3,4,6,1,2,5,8]=>1001000 [[1,2,4,8],[3,5,6],[7]]=>[7,3,5,6,1,2,4,8]=>1001000 [[1,2,3,8],[4,5,6],[7]]=>[7,4,5,6,1,2,3,8]=>1001000 [[1,4,6,7],[2,5,8],[3]]=>[3,2,5,8,1,4,6,7]=>1001000 [[1,3,6,7],[2,5,8],[4]]=>[4,2,5,8,1,3,6,7]=>1001000 [[1,2,6,7],[3,5,8],[4]]=>[4,3,5,8,1,2,6,7]=>1001000 [[1,3,6,7],[2,4,8],[5]]=>[5,2,4,8,1,3,6,7]=>1001000 [[1,4,5,7],[2,6,8],[3]]=>[3,2,6,8,1,4,5,7]=>1001000 [[1,3,5,7],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7]=>1001000 [[1,2,5,7],[3,6,8],[4]]=>[4,3,6,8,1,2,5,7]=>1001000 [[1,3,4,7],[2,6,8],[5]]=>[5,2,6,8,1,3,4,7]=>1001000 [[1,3,5,7],[2,4,8],[6]]=>[6,2,4,8,1,3,5,7]=>1001000 [[1,2,5,7],[3,4,8],[6]]=>[6,3,4,8,1,2,5,7]=>1001000 [[1,3,4,7],[2,5,8],[6]]=>[6,2,5,8,1,3,4,7]=>1001000 [[1,2,4,7],[3,5,8],[6]]=>[6,3,5,8,1,2,4,7]=>1001000 [[1,2,3,7],[4,5,8],[6]]=>[6,4,5,8,1,2,3,7]=>1001000 [[1,4,5,6],[2,7,8],[3]]=>[3,2,7,8,1,4,5,6]=>1001000 [[1,2,5,6],[3,7,8],[4]]=>[4,3,7,8,1,2,5,6]=>1001000 [[1,2,4,6],[3,7,8],[5]]=>[5,3,7,8,1,2,4,6]=>1001000 [[1,3,4,5],[2,7,8],[6]]=>[6,2,7,8,1,3,4,5]=>1001000 [[1,2,4,5],[3,7,8],[6]]=>[6,3,7,8,1,2,4,5]=>1001000 [[1,2,3,5],[4,7,8],[6]]=>[6,4,7,8,1,2,3,5]=>1001000 [[1,2,3,4],[5,7,8],[6]]=>[6,5,7,8,1,2,3,4]=>1001000 [[1,3,5,6],[2,4,8],[7]]=>[7,2,4,8,1,3,5,6]=>1001000 [[1,2,5,6],[3,4,8],[7]]=>[7,3,4,8,1,2,5,6]=>1001000 [[1,2,4,6],[3,5,8],[7]]=>[7,3,5,8,1,2,4,6]=>1001000 [[1,2,3,6],[4,5,8],[7]]=>[7,4,5,8,1,2,3,6]=>1001000 [[1,2,3,5],[4,6,8],[7]]=>[7,4,6,8,1,2,3,5]=>1001000 [[1,2,3,4],[5,6,8],[7]]=>[7,5,6,8,1,2,3,4]=>1001000 [[1,3,5,7],[2,4,6],[8]]=>[8,2,4,6,1,3,5,7]=>1001000 [[1,2,5,7],[3,4,6],[8]]=>[8,3,4,6,1,2,5,7]=>1001000 [[1,3,4,7],[2,5,6],[8]]=>[8,2,5,6,1,3,4,7]=>1001000 [[1,2,4,7],[3,5,6],[8]]=>[8,3,5,6,1,2,4,7]=>1001000 [[1,2,3,7],[4,5,6],[8]]=>[8,4,5,6,1,2,3,7]=>1001000 [[1,3,5,6],[2,4,7],[8]]=>[8,2,4,7,1,3,5,6]=>1001000 [[1,3,4,6],[2,5,7],[8]]=>[8,2,5,7,1,3,4,6]=>1001000 [[1,2,4,6],[3,5,7],[8]]=>[8,3,5,7,1,2,4,6]=>1001000 [[1,3,4,5],[2,6,7],[8]]=>[8,2,6,7,1,3,4,5]=>1001000 [[1,2,3,5],[4,6,7],[8]]=>[8,4,6,7,1,2,3,5]=>1001000 [[1,2,3,4],[5,6,7],[8]]=>[8,5,6,7,1,2,3,4]=>1001000 [[1,4,7,8],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8]=>0101000 [[1,3,7,8],[2,5],[4,6]]=>[4,6,2,5,1,3,7,8]=>0101000 [[1,2,7,8],[3,5],[4,6]]=>[4,6,3,5,1,2,7,8]=>0101000 [[1,2,7,8],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8]=>0101000 [[1,4,6,8],[2,5],[3,7]]=>[3,7,2,5,1,4,6,8]=>0101000 [[1,2,6,8],[3,5],[4,7]]=>[4,7,3,5,1,2,6,8]=>0101000 [[1,3,6,8],[2,4],[5,7]]=>[5,7,2,4,1,3,6,8]=>0101000 [[1,2,6,8],[3,4],[5,7]]=>[5,7,3,4,1,2,6,8]=>0101000 [[1,4,5,8],[2,6],[3,7]]=>[3,7,2,6,1,4,5,8]=>0101000 [[1,2,5,8],[3,6],[4,7]]=>[4,7,3,6,1,2,5,8]=>0101000 [[1,3,4,8],[2,6],[5,7]]=>[5,7,2,6,1,3,4,8]=>0101000 [[1,2,4,8],[3,6],[5,7]]=>[5,7,3,6,1,2,4,8]=>0101000 [[1,2,5,8],[3,4],[6,7]]=>[6,7,3,4,1,2,5,8]=>0101000 [[1,3,4,8],[2,5],[6,7]]=>[6,7,2,5,1,3,4,8]=>0101000 [[1,3,6,7],[2,5],[4,8]]=>[4,8,2,5,1,3,6,7]=>0101000 [[1,3,6,7],[2,4],[5,8]]=>[5,8,2,4,1,3,6,7]=>0101000 [[1,2,6,7],[3,4],[5,8]]=>[5,8,3,4,1,2,6,7]=>0101000 [[1,4,5,7],[2,6],[3,8]]=>[3,8,2,6,1,4,5,7]=>0101000 [[1,3,5,7],[2,6],[4,8]]=>[4,8,2,6,1,3,5,7]=>0101000 [[1,2,4,7],[3,6],[5,8]]=>[5,8,3,6,1,2,4,7]=>0101000 [[1,2,3,7],[4,6],[5,8]]=>[5,8,4,6,1,2,3,7]=>0101000 [[1,3,5,7],[2,4],[6,8]]=>[6,8,2,4,1,3,5,7]=>0101000 [[1,2,5,7],[3,4],[6,8]]=>[6,8,3,4,1,2,5,7]=>0101000 [[1,2,4,7],[3,5],[6,8]]=>[6,8,3,5,1,2,4,7]=>0101000 [[1,2,3,7],[4,5],[6,8]]=>[6,8,4,5,1,2,3,7]=>0101000 [[1,4,5,6],[2,7],[3,8]]=>[3,8,2,7,1,4,5,6]=>0101000 [[1,3,5,6],[2,7],[4,8]]=>[4,8,2,7,1,3,5,6]=>0101000 [[1,2,5,6],[3,7],[4,8]]=>[4,8,3,7,1,2,5,6]=>0101000 [[1,3,4,6],[2,7],[5,8]]=>[5,8,2,7,1,3,4,6]=>0101000 [[1,2,4,6],[3,7],[5,8]]=>[5,8,3,7,1,2,4,6]=>0101000 [[1,2,3,6],[4,7],[5,8]]=>[5,8,4,7,1,2,3,6]=>0101000 [[1,3,4,5],[2,7],[6,8]]=>[6,8,2,7,1,3,4,5]=>0101000 [[1,2,4,5],[3,7],[6,8]]=>[6,8,3,7,1,2,4,5]=>0101000 [[1,2,3,4],[5,7],[6,8]]=>[6,8,5,7,1,2,3,4]=>0101000 [[1,3,5,6],[2,4],[7,8]]=>[7,8,2,4,1,3,5,6]=>0101000 [[1,2,5,6],[3,4],[7,8]]=>[7,8,3,4,1,2,5,6]=>0101000 [[1,3,4,6],[2,5],[7,8]]=>[7,8,2,5,1,3,4,6]=>0101000 [[1,2,4,6],[3,5],[7,8]]=>[7,8,3,5,1,2,4,6]=>0101000 [[1,2,3,6],[4,5],[7,8]]=>[7,8,4,5,1,2,3,6]=>0101000 [[1,2,3,5],[4,6],[7,8]]=>[7,8,4,6,1,2,3,5]=>0101000 [[1,2,3,4],[5,6],[7,8]]=>[7,8,5,6,1,2,3,4]=>0101000 [[1,5,7,8],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8]=>1101000 [[1,4,7,8],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8]=>1101000 [[1,2,7,8],[3,6],[4],[5]]=>[5,4,3,6,1,2,7,8]=>1101000 [[1,4,7,8],[2,5],[3],[6]]=>[6,3,2,5,1,4,7,8]=>1101000 [[1,3,7,8],[2,5],[4],[6]]=>[6,4,2,5,1,3,7,8]=>1101000 [[1,3,7,8],[2,4],[5],[6]]=>[6,5,2,4,1,3,7,8]=>1101000 [[1,5,6,8],[2,7],[3],[4]]=>[4,3,2,7,1,5,6,8]=>1101000 [[1,4,6,8],[2,7],[3],[5]]=>[5,3,2,7,1,4,6,8]=>1101000 [[1,2,6,8],[3,7],[4],[5]]=>[5,4,3,7,1,2,6,8]=>1101000 [[1,4,5,8],[2,7],[3],[6]]=>[6,3,2,7,1,4,5,8]=>1101000 [[1,3,5,8],[2,7],[4],[6]]=>[6,4,2,7,1,3,5,8]=>1101000 [[1,2,5,8],[3,7],[4],[6]]=>[6,4,3,7,1,2,5,8]=>1101000 [[1,2,4,8],[3,7],[5],[6]]=>[6,5,3,7,1,2,4,8]=>1101000 [[1,4,6,8],[2,5],[3],[7]]=>[7,3,2,5,1,4,6,8]=>1101000 [[1,3,6,8],[2,5],[4],[7]]=>[7,4,2,5,1,3,6,8]=>1101000 [[1,2,6,8],[3,4],[5],[7]]=>[7,5,3,4,1,2,6,8]=>1101000 [[1,4,5,8],[2,6],[3],[7]]=>[7,3,2,6,1,4,5,8]=>1101000 [[1,3,5,8],[2,6],[4],[7]]=>[7,4,2,6,1,3,5,8]=>1101000 [[1,2,5,8],[3,6],[4],[7]]=>[7,4,3,6,1,2,5,8]=>1101000 [[1,3,4,8],[2,6],[5],[7]]=>[7,5,2,6,1,3,4,8]=>1101000 [[1,2,4,8],[3,6],[5],[7]]=>[7,5,3,6,1,2,4,8]=>1101000 [[1,2,3,8],[4,6],[5],[7]]=>[7,5,4,6,1,2,3,8]=>1101000 [[1,2,4,8],[3,5],[6],[7]]=>[7,6,3,5,1,2,4,8]=>1101000 [[1,2,3,8],[4,5],[6],[7]]=>[7,6,4,5,1,2,3,8]=>1101000 [[1,5,6,7],[2,8],[3],[4]]=>[4,3,2,8,1,5,6,7]=>1101000 [[1,4,6,7],[2,8],[3],[5]]=>[5,3,2,8,1,4,6,7]=>1101000 [[1,2,6,7],[3,8],[4],[5]]=>[5,4,3,8,1,2,6,7]=>1101000 [[1,4,5,7],[2,8],[3],[6]]=>[6,3,2,8,1,4,5,7]=>1101000 [[1,3,5,7],[2,8],[4],[6]]=>[6,4,2,8,1,3,5,7]=>1101000 [[1,2,5,7],[3,8],[4],[6]]=>[6,4,3,8,1,2,5,7]=>1101000 [[1,3,4,7],[2,8],[5],[6]]=>[6,5,2,8,1,3,4,7]=>1101000 [[1,2,4,7],[3,8],[5],[6]]=>[6,5,3,8,1,2,4,7]=>1101000 [[1,2,3,7],[4,8],[5],[6]]=>[6,5,4,8,1,2,3,7]=>1101000 [[1,4,5,6],[2,8],[3],[7]]=>[7,3,2,8,1,4,5,6]=>1101000 [[1,3,5,6],[2,8],[4],[7]]=>[7,4,2,8,1,3,5,6]=>1101000 [[1,2,5,6],[3,8],[4],[7]]=>[7,4,3,8,1,2,5,6]=>1101000 [[1,2,4,6],[3,8],[5],[7]]=>[7,5,3,8,1,2,4,6]=>1101000 [[1,2,3,6],[4,8],[5],[7]]=>[7,5,4,8,1,2,3,6]=>1101000 [[1,3,4,5],[2,8],[6],[7]]=>[7,6,2,8,1,3,4,5]=>1101000 [[1,2,3,4],[5,8],[6],[7]]=>[7,6,5,8,1,2,3,4]=>1101000 [[1,4,6,7],[2,5],[3],[8]]=>[8,3,2,5,1,4,6,7]=>1101000 [[1,3,6,7],[2,5],[4],[8]]=>[8,4,2,5,1,3,6,7]=>1101000 [[1,2,6,7],[3,4],[5],[8]]=>[8,5,3,4,1,2,6,7]=>1101000 [[1,4,5,7],[2,6],[3],[8]]=>[8,3,2,6,1,4,5,7]=>1101000 [[1,3,5,7],[2,6],[4],[8]]=>[8,4,2,6,1,3,5,7]=>1101000 [[1,2,4,7],[3,6],[5],[8]]=>[8,5,3,6,1,2,4,7]=>1101000 [[1,3,5,7],[2,4],[6],[8]]=>[8,6,2,4,1,3,5,7]=>1101000 [[1,2,5,7],[3,4],[6],[8]]=>[8,6,3,4,1,2,5,7]=>1101000 [[1,3,4,7],[2,5],[6],[8]]=>[8,6,2,5,1,3,4,7]=>1101000 [[1,2,3,7],[4,5],[6],[8]]=>[8,6,4,5,1,2,3,7]=>1101000 [[1,4,5,6],[2,7],[3],[8]]=>[8,3,2,7,1,4,5,6]=>1101000 [[1,3,5,6],[2,7],[4],[8]]=>[8,4,2,7,1,3,5,6]=>1101000 [[1,2,5,6],[3,7],[4],[8]]=>[8,4,3,7,1,2,5,6]=>1101000 [[1,3,4,6],[2,7],[5],[8]]=>[8,5,2,7,1,3,4,6]=>1101000 [[1,2,4,6],[3,7],[5],[8]]=>[8,5,3,7,1,2,4,6]=>1101000 [[1,2,3,6],[4,7],[5],[8]]=>[8,5,4,7,1,2,3,6]=>1101000 [[1,2,4,5],[3,7],[6],[8]]=>[8,6,3,7,1,2,4,5]=>1101000 [[1,2,3,4],[5,7],[6],[8]]=>[8,6,5,7,1,2,3,4]=>1101000 [[1,3,5,6],[2,4],[7],[8]]=>[8,7,2,4,1,3,5,6]=>1101000 [[1,2,5,6],[3,4],[7],[8]]=>[8,7,3,4,1,2,5,6]=>1101000 [[1,3,4,6],[2,5],[7],[8]]=>[8,7,2,5,1,3,4,6]=>1101000 [[1,2,4,6],[3,5],[7],[8]]=>[8,7,3,5,1,2,4,6]=>1101000 [[1,2,3,6],[4,5],[7],[8]]=>[8,7,4,5,1,2,3,6]=>1101000 [[1,3,4,5],[2,6],[7],[8]]=>[8,7,2,6,1,3,4,5]=>1101000 [[1,2,4,5],[3,6],[7],[8]]=>[8,7,3,6,1,2,4,5]=>1101000 [[1,2,3,5],[4,6],[7],[8]]=>[8,7,4,6,1,2,3,5]=>1101000 [[1,2,3,4],[5,6],[7],[8]]=>[8,7,5,6,1,2,3,4]=>1101000 [[1,6,7,8],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8]=>1111000 [[1,5,7,8],[2],[3],[4],[6]]=>[6,4,3,2,1,5,7,8]=>1111000 [[1,4,7,8],[2],[3],[5],[6]]=>[6,5,3,2,1,4,7,8]=>1111000 [[1,3,7,8],[2],[4],[5],[6]]=>[6,5,4,2,1,3,7,8]=>1111000 [[1,2,7,8],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8]=>1111000 [[1,5,6,8],[2],[3],[4],[7]]=>[7,4,3,2,1,5,6,8]=>1111000 [[1,4,6,8],[2],[3],[5],[7]]=>[7,5,3,2,1,4,6,8]=>1111000 [[1,2,6,8],[3],[4],[5],[7]]=>[7,5,4,3,1,2,6,8]=>1111000 [[1,4,5,8],[2],[3],[6],[7]]=>[7,6,3,2,1,4,5,8]=>1111000 [[1,3,5,8],[2],[4],[6],[7]]=>[7,6,4,2,1,3,5,8]=>1111000 [[1,2,5,8],[3],[4],[6],[7]]=>[7,6,4,3,1,2,5,8]=>1111000 [[1,3,4,8],[2],[5],[6],[7]]=>[7,6,5,2,1,3,4,8]=>1111000 [[1,2,3,8],[4],[5],[6],[7]]=>[7,6,5,4,1,2,3,8]=>1111000 [[1,5,6,7],[2],[3],[4],[8]]=>[8,4,3,2,1,5,6,7]=>1111000 [[1,4,6,7],[2],[3],[5],[8]]=>[8,5,3,2,1,4,6,7]=>1111000 [[1,3,6,7],[2],[4],[5],[8]]=>[8,5,4,2,1,3,6,7]=>1111000 [[1,3,5,7],[2],[4],[6],[8]]=>[8,6,4,2,1,3,5,7]=>1111000 [[1,2,5,7],[3],[4],[6],[8]]=>[8,6,4,3,1,2,5,7]=>1111000 [[1,3,4,7],[2],[5],[6],[8]]=>[8,6,5,2,1,3,4,7]=>1111000 [[1,2,3,7],[4],[5],[6],[8]]=>[8,6,5,4,1,2,3,7]=>1111000 [[1,4,5,6],[2],[3],[7],[8]]=>[8,7,3,2,1,4,5,6]=>1111000 [[1,3,5,6],[2],[4],[7],[8]]=>[8,7,4,2,1,3,5,6]=>1111000 [[1,3,4,6],[2],[5],[7],[8]]=>[8,7,5,2,1,3,4,6]=>1111000 [[1,2,4,6],[3],[5],[7],[8]]=>[8,7,5,3,1,2,4,6]=>1111000 [[1,2,3,6],[4],[5],[7],[8]]=>[8,7,5,4,1,2,3,6]=>1111000 [[1,3,4,5],[2],[6],[7],[8]]=>[8,7,6,2,1,3,4,5]=>1111000 [[1,2,4,5],[3],[6],[7],[8]]=>[8,7,6,3,1,2,4,5]=>1111000 [[1,2,3,5],[4],[6],[7],[8]]=>[8,7,6,4,1,2,3,5]=>1111000 [[1,2,3,4],[5],[6],[7],[8]]=>[8,7,6,5,1,2,3,4]=>1111000 [[1,4,7],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7]=>0100100 [[1,2,7],[3,5,8],[4,6]]=>[4,6,3,5,8,1,2,7]=>0100100 [[1,3,7],[2,4,8],[5,6]]=>[5,6,2,4,8,1,3,7]=>0100100 [[1,3,6],[2,5,8],[4,7]]=>[4,7,2,5,8,1,3,6]=>0100100 [[1,2,6],[3,5,8],[4,7]]=>[4,7,3,5,8,1,2,6]=>0100100 [[1,3,6],[2,4,8],[5,7]]=>[5,7,2,4,8,1,3,6]=>0100100 [[1,2,6],[3,4,8],[5,7]]=>[5,7,3,4,8,1,2,6]=>0100100 [[1,4,5],[2,6,8],[3,7]]=>[3,7,2,6,8,1,4,5]=>0100100 [[1,2,5],[3,6,8],[4,7]]=>[4,7,3,6,8,1,2,5]=>0100100 [[1,3,4],[2,6,8],[5,7]]=>[5,7,2,6,8,1,3,4]=>0100100 [[1,2,3],[4,6,8],[5,7]]=>[5,7,4,6,8,1,2,3]=>0100100 [[1,2,5],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5]=>0100100 [[1,2,4],[3,5,8],[6,7]]=>[6,7,3,5,8,1,2,4]=>0100100 [[1,2,3],[4,5,8],[6,7]]=>[6,7,4,5,8,1,2,3]=>0100100 [[1,4,6],[2,5,7],[3,8]]=>[3,8,2,5,7,1,4,6]=>0100100 [[1,3,6],[2,5,7],[4,8]]=>[4,8,2,5,7,1,3,6]=>0100100 [[1,2,6],[3,5,7],[4,8]]=>[4,8,3,5,7,1,2,6]=>0100100 [[1,3,6],[2,4,7],[5,8]]=>[5,8,2,4,7,1,3,6]=>0100100 [[1,4,5],[2,6,7],[3,8]]=>[3,8,2,6,7,1,4,5]=>0100100 [[1,2,5],[3,6,7],[4,8]]=>[4,8,3,6,7,1,2,5]=>0100100 [[1,3,4],[2,6,7],[5,8]]=>[5,8,2,6,7,1,3,4]=>0100100 [[1,2,4],[3,6,7],[5,8]]=>[5,8,3,6,7,1,2,4]=>0100100 [[1,3,4],[2,5,7],[6,8]]=>[6,8,2,5,7,1,3,4]=>0100100 [[1,2,4],[3,5,7],[6,8]]=>[6,8,3,5,7,1,2,4]=>0100100 [[1,2,3],[4,5,7],[6,8]]=>[6,8,4,5,7,1,2,3]=>0100100 [[1,3,5],[2,4,6],[7,8]]=>[7,8,2,4,6,1,3,5]=>0100100 [[1,3,4],[2,5,6],[7,8]]=>[7,8,2,5,6,1,3,4]=>0100100 [[1,2,4],[3,5,6],[7,8]]=>[7,8,3,5,6,1,2,4]=>0100100 [[1,2,3],[4,5,6],[7,8]]=>[7,8,4,5,6,1,2,3]=>0100100 [[1,5,7],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7]=>1100100 [[1,4,7],[2,6,8],[3],[5]]=>[5,3,2,6,8,1,4,7]=>1100100 [[1,3,7],[2,6,8],[4],[5]]=>[5,4,2,6,8,1,3,7]=>1100100 [[1,2,7],[3,6,8],[4],[5]]=>[5,4,3,6,8,1,2,7]=>1100100 [[1,4,7],[2,5,8],[3],[6]]=>[6,3,2,5,8,1,4,7]=>1100100 [[1,2,7],[3,5,8],[4],[6]]=>[6,4,3,5,8,1,2,7]=>1100100 [[1,3,7],[2,4,8],[5],[6]]=>[6,5,2,4,8,1,3,7]=>1100100 [[1,5,6],[2,7,8],[3],[4]]=>[4,3,2,7,8,1,5,6]=>1100100 [[1,4,6],[2,7,8],[3],[5]]=>[5,3,2,7,8,1,4,6]=>1100100 [[1,3,6],[2,7,8],[4],[5]]=>[5,4,2,7,8,1,3,6]=>1100100 [[1,2,6],[3,7,8],[4],[5]]=>[5,4,3,7,8,1,2,6]=>1100100 [[1,4,5],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5]=>1100100 [[1,3,5],[2,7,8],[4],[6]]=>[6,4,2,7,8,1,3,5]=>1100100 [[1,2,5],[3,7,8],[4],[6]]=>[6,4,3,7,8,1,2,5]=>1100100 [[1,3,4],[2,7,8],[5],[6]]=>[6,5,2,7,8,1,3,4]=>1100100 [[1,2,3],[4,7,8],[5],[6]]=>[6,5,4,7,8,1,2,3]=>1100100 [[1,3,6],[2,5,8],[4],[7]]=>[7,4,2,5,8,1,3,6]=>1100100 [[1,2,6],[3,5,8],[4],[7]]=>[7,4,3,5,8,1,2,6]=>1100100 [[1,2,6],[3,4,8],[5],[7]]=>[7,5,3,4,8,1,2,6]=>1100100 [[1,4,5],[2,6,8],[3],[7]]=>[7,3,2,6,8,1,4,5]=>1100100 [[1,3,4],[2,6,8],[5],[7]]=>[7,5,2,6,8,1,3,4]=>1100100 [[1,2,4],[3,6,8],[5],[7]]=>[7,5,3,6,8,1,2,4]=>1100100 [[1,2,3],[4,6,8],[5],[7]]=>[7,5,4,6,8,1,2,3]=>1100100 [[1,3,5],[2,4,8],[6],[7]]=>[7,6,2,4,8,1,3,5]=>1100100 [[1,2,4],[3,5,8],[6],[7]]=>[7,6,3,5,8,1,2,4]=>1100100 [[1,2,3],[4,5,8],[6],[7]]=>[7,6,4,5,8,1,2,3]=>1100100 [[1,4,6],[2,5,7],[3],[8]]=>[8,3,2,5,7,1,4,6]=>1100100 [[1,3,6],[2,5,7],[4],[8]]=>[8,4,2,5,7,1,3,6]=>1100100 [[1,3,6],[2,4,7],[5],[8]]=>[8,5,2,4,7,1,3,6]=>1100100 [[1,4,5],[2,6,7],[3],[8]]=>[8,3,2,6,7,1,4,5]=>1100100 [[1,3,5],[2,6,7],[4],[8]]=>[8,4,2,6,7,1,3,5]=>1100100 [[1,3,4],[2,6,7],[5],[8]]=>[8,5,2,6,7,1,3,4]=>1100100 [[1,2,4],[3,6,7],[5],[8]]=>[8,5,3,6,7,1,2,4]=>1100100 [[1,2,3],[4,6,7],[5],[8]]=>[8,5,4,6,7,1,2,3]=>1100100 [[1,3,5],[2,4,7],[6],[8]]=>[8,6,2,4,7,1,3,5]=>1100100 [[1,2,4],[3,5,7],[6],[8]]=>[8,6,3,5,7,1,2,4]=>1100100 [[1,2,3],[4,5,7],[6],[8]]=>[8,6,4,5,7,1,2,3]=>1100100 [[1,3,5],[2,4,6],[7],[8]]=>[8,7,2,4,6,1,3,5]=>1100100 [[1,2,5],[3,4,6],[7],[8]]=>[8,7,3,4,6,1,2,5]=>1100100 [[1,3,4],[2,5,6],[7],[8]]=>[8,7,2,5,6,1,3,4]=>1100100 [[1,2,4],[3,5,6],[7],[8]]=>[8,7,3,5,6,1,2,4]=>1100100 [[1,2,3],[4,5,6],[7],[8]]=>[8,7,4,5,6,1,2,3]=>1100100 [[1,5,8],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8]=>1010100 [[1,4,8],[2,6],[3,7],[5]]=>[5,3,7,2,6,1,4,8]=>1010100 [[1,3,8],[2,6],[4,7],[5]]=>[5,4,7,2,6,1,3,8]=>1010100 [[1,4,8],[2,5],[3,7],[6]]=>[6,3,7,2,5,1,4,8]=>1010100 [[1,3,8],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8]=>1010100 [[1,2,8],[3,5],[4,7],[6]]=>[6,4,7,3,5,1,2,8]=>1010100 [[1,4,8],[2,5],[3,6],[7]]=>[7,3,6,2,5,1,4,8]=>1010100 [[1,2,8],[3,4],[5,6],[7]]=>[7,5,6,3,4,1,2,8]=>1010100 [[1,5,7],[2,6],[3,8],[4]]=>[4,3,8,2,6,1,5,7]=>1010100 [[1,4,7],[2,6],[3,8],[5]]=>[5,3,8,2,6,1,4,7]=>1010100 [[1,3,7],[2,6],[4,8],[5]]=>[5,4,8,2,6,1,3,7]=>1010100 [[1,2,7],[3,6],[4,8],[5]]=>[5,4,8,3,6,1,2,7]=>1010100 [[1,3,7],[2,5],[4,8],[6]]=>[6,4,8,2,5,1,3,7]=>1010100 [[1,2,7],[3,5],[4,8],[6]]=>[6,4,8,3,5,1,2,7]=>1010100 [[1,3,7],[2,4],[5,8],[6]]=>[6,5,8,2,4,1,3,7]=>1010100 [[1,2,7],[3,4],[5,8],[6]]=>[6,5,8,3,4,1,2,7]=>1010100 [[1,5,6],[2,7],[3,8],[4]]=>[4,3,8,2,7,1,5,6]=>1010100 [[1,4,6],[2,7],[3,8],[5]]=>[5,3,8,2,7,1,4,6]=>1010100 [[1,3,6],[2,7],[4,8],[5]]=>[5,4,8,2,7,1,3,6]=>1010100 [[1,2,6],[3,7],[4,8],[5]]=>[5,4,8,3,7,1,2,6]=>1010100 [[1,4,5],[2,7],[3,8],[6]]=>[6,3,8,2,7,1,4,5]=>1010100 [[1,3,5],[2,7],[4,8],[6]]=>[6,4,8,2,7,1,3,5]=>1010100 [[1,2,5],[3,7],[4,8],[6]]=>[6,4,8,3,7,1,2,5]=>1010100 [[1,4,6],[2,5],[3,8],[7]]=>[7,3,8,2,5,1,4,6]=>1010100 [[1,2,6],[3,5],[4,8],[7]]=>[7,4,8,3,5,1,2,6]=>1010100 [[1,3,6],[2,4],[5,8],[7]]=>[7,5,8,2,4,1,3,6]=>1010100 [[1,2,6],[3,4],[5,8],[7]]=>[7,5,8,3,4,1,2,6]=>1010100 [[1,4,5],[2,6],[3,8],[7]]=>[7,3,8,2,6,1,4,5]=>1010100 [[1,3,5],[2,6],[4,8],[7]]=>[7,4,8,2,6,1,3,5]=>1010100 [[1,3,4],[2,6],[5,8],[7]]=>[7,5,8,2,6,1,3,4]=>1010100 [[1,2,4],[3,6],[5,8],[7]]=>[7,5,8,3,6,1,2,4]=>1010100 [[1,2,3],[4,6],[5,8],[7]]=>[7,5,8,4,6,1,2,3]=>1010100 [[1,3,4],[2,5],[6,8],[7]]=>[7,6,8,2,5,1,3,4]=>1010100 [[1,2,4],[3,5],[6,8],[7]]=>[7,6,8,3,5,1,2,4]=>1010100 [[1,4,7],[2,5],[3,6],[8]]=>[8,3,6,2,5,1,4,7]=>1010100 [[1,3,7],[2,4],[5,6],[8]]=>[8,5,6,2,4,1,3,7]=>1010100 [[1,2,7],[3,4],[5,6],[8]]=>[8,5,6,3,4,1,2,7]=>1010100 [[1,4,6],[2,5],[3,7],[8]]=>[8,3,7,2,5,1,4,6]=>1010100 [[1,3,6],[2,4],[5,7],[8]]=>[8,5,7,2,4,1,3,6]=>1010100 [[1,4,5],[2,6],[3,7],[8]]=>[8,3,7,2,6,1,4,5]=>1010100 [[1,3,5],[2,6],[4,7],[8]]=>[8,4,7,2,6,1,3,5]=>1010100 [[1,2,5],[3,6],[4,7],[8]]=>[8,4,7,3,6,1,2,5]=>1010100 [[1,3,4],[2,6],[5,7],[8]]=>[8,5,7,2,6,1,3,4]=>1010100 [[1,3,5],[2,4],[6,7],[8]]=>[8,6,7,2,4,1,3,5]=>1010100 [[1,2,5],[3,4],[6,7],[8]]=>[8,6,7,3,4,1,2,5]=>1010100 [[1,3,4],[2,5],[6,7],[8]]=>[8,6,7,2,5,1,3,4]=>1010100 [[1,2,4],[3,5],[6,7],[8]]=>[8,6,7,3,5,1,2,4]=>1010100 [[1,2,3],[4,5],[6,7],[8]]=>[8,6,7,4,5,1,2,3]=>1010100 [[1,6,8],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8]=>1110100 [[1,5,8],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8]=>1110100 [[1,4,8],[2,7],[3],[5],[6]]=>[6,5,3,2,7,1,4,8]=>1110100 [[1,3,8],[2,7],[4],[5],[6]]=>[6,5,4,2,7,1,3,8]=>1110100 [[1,2,8],[3,7],[4],[5],[6]]=>[6,5,4,3,7,1,2,8]=>1110100 [[1,4,8],[2,6],[3],[5],[7]]=>[7,5,3,2,6,1,4,8]=>1110100 [[1,3,8],[2,6],[4],[5],[7]]=>[7,5,4,2,6,1,3,8]=>1110100 [[1,4,8],[2,5],[3],[6],[7]]=>[7,6,3,2,5,1,4,8]=>1110100 [[1,2,8],[3,4],[5],[6],[7]]=>[7,6,5,3,4,1,2,8]=>1110100 [[1,6,7],[2,8],[3],[4],[5]]=>[5,4,3,2,8,1,6,7]=>1110100 [[1,4,7],[2,8],[3],[5],[6]]=>[6,5,3,2,8,1,4,7]=>1110100 [[1,3,7],[2,8],[4],[5],[6]]=>[6,5,4,2,8,1,3,7]=>1110100 [[1,2,7],[3,8],[4],[5],[6]]=>[6,5,4,3,8,1,2,7]=>1110100 [[1,4,6],[2,8],[3],[5],[7]]=>[7,5,3,2,8,1,4,6]=>1110100 [[1,3,6],[2,8],[4],[5],[7]]=>[7,5,4,2,8,1,3,6]=>1110100 [[1,4,5],[2,8],[3],[6],[7]]=>[7,6,3,2,8,1,4,5]=>1110100 [[1,2,5],[3,8],[4],[6],[7]]=>[7,6,4,3,8,1,2,5]=>1110100 [[1,3,4],[2,8],[5],[6],[7]]=>[7,6,5,2,8,1,3,4]=>1110100 [[1,2,3],[4,8],[5],[6],[7]]=>[7,6,5,4,8,1,2,3]=>1110100 [[1,4,7],[2,6],[3],[5],[8]]=>[8,5,3,2,6,1,4,7]=>1110100 [[1,3,7],[2,6],[4],[5],[8]]=>[8,5,4,2,6,1,3,7]=>1110100 [[1,2,7],[3,6],[4],[5],[8]]=>[8,5,4,3,6,1,2,7]=>1110100 [[1,3,7],[2,5],[4],[6],[8]]=>[8,6,4,2,5,1,3,7]=>1110100 [[1,3,7],[2,4],[5],[6],[8]]=>[8,6,5,2,4,1,3,7]=>1110100 [[1,2,7],[3,4],[5],[6],[8]]=>[8,6,5,3,4,1,2,7]=>1110100 [[1,4,6],[2,7],[3],[5],[8]]=>[8,5,3,2,7,1,4,6]=>1110100 [[1,4,5],[2,7],[3],[6],[8]]=>[8,6,3,2,7,1,4,5]=>1110100 [[1,3,5],[2,7],[4],[6],[8]]=>[8,6,4,2,7,1,3,5]=>1110100 [[1,2,5],[3,7],[4],[6],[8]]=>[8,6,4,3,7,1,2,5]=>1110100 [[1,2,6],[3,4],[5],[7],[8]]=>[8,7,5,3,4,1,2,6]=>1110100 [[1,4,5],[2,6],[3],[7],[8]]=>[8,7,3,2,6,1,4,5]=>1110100 [[1,3,5],[2,6],[4],[7],[8]]=>[8,7,4,2,6,1,3,5]=>1110100 [[1,2,5],[3,6],[4],[7],[8]]=>[8,7,4,3,6,1,2,5]=>1110100 [[1,3,4],[2,6],[5],[7],[8]]=>[8,7,5,2,6,1,3,4]=>1110100 [[1,2,3],[4,6],[5],[7],[8]]=>[8,7,5,4,6,1,2,3]=>1110100 [[1,3,5],[2,4],[6],[7],[8]]=>[8,7,6,2,4,1,3,5]=>1110100 [[1,2,5],[3,4],[6],[7],[8]]=>[8,7,6,3,4,1,2,5]=>1110100 [[1,3,4],[2,5],[6],[7],[8]]=>[8,7,6,2,5,1,3,4]=>1110100 [[1,2,4],[3,5],[6],[7],[8]]=>[8,7,6,3,5,1,2,4]=>1110100 [[1,2,3],[4,5],[6],[7],[8]]=>[8,7,6,4,5,1,2,3]=>1110100 [[1,7,8],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8]=>1111100 [[1,6,8],[2],[3],[4],[5],[7]]=>[7,5,4,3,2,1,6,8]=>1111100 [[1,5,8],[2],[3],[4],[6],[7]]=>[7,6,4,3,2,1,5,8]=>1111100 [[1,4,8],[2],[3],[5],[6],[7]]=>[7,6,5,3,2,1,4,8]=>1111100 [[1,3,8],[2],[4],[5],[6],[7]]=>[7,6,5,4,2,1,3,8]=>1111100 [[1,2,8],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8]=>1111100 [[1,6,7],[2],[3],[4],[5],[8]]=>[8,5,4,3,2,1,6,7]=>1111100 [[1,5,7],[2],[3],[4],[6],[8]]=>[8,6,4,3,2,1,5,7]=>1111100 [[1,4,7],[2],[3],[5],[6],[8]]=>[8,6,5,3,2,1,4,7]=>1111100 [[1,3,7],[2],[4],[5],[6],[8]]=>[8,6,5,4,2,1,3,7]=>1111100 [[1,2,7],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,1,2,7]=>1111100 [[1,5,6],[2],[3],[4],[7],[8]]=>[8,7,4,3,2,1,5,6]=>1111100 [[1,4,6],[2],[3],[5],[7],[8]]=>[8,7,5,3,2,1,4,6]=>1111100 [[1,2,6],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,1,2,6]=>1111100 [[1,4,5],[2],[3],[6],[7],[8]]=>[8,7,6,3,2,1,4,5]=>1111100 [[1,3,5],[2],[4],[6],[7],[8]]=>[8,7,6,4,2,1,3,5]=>1111100 [[1,2,5],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,1,2,5]=>1111100 [[1,3,4],[2],[5],[6],[7],[8]]=>[8,7,6,5,2,1,3,4]=>1111100 [[1,2,4],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,1,2,4]=>1111100 [[1,2,3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3]=>1111100 [[1,5],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5]=>0101010 [[1,4],[2,6],[3,7],[5,8]]=>[5,8,3,7,2,6,1,4]=>0101010 [[1,3],[2,6],[4,7],[5,8]]=>[5,8,4,7,2,6,1,3]=>0101010 [[1,2],[3,6],[4,7],[5,8]]=>[5,8,4,7,3,6,1,2]=>0101010 [[1,4],[2,5],[3,7],[6,8]]=>[6,8,3,7,2,5,1,4]=>0101010 [[1,3],[2,5],[4,7],[6,8]]=>[6,8,4,7,2,5,1,3]=>0101010 [[1,2],[3,5],[4,7],[6,8]]=>[6,8,4,7,3,5,1,2]=>0101010 [[1,3],[2,4],[5,7],[6,8]]=>[6,8,5,7,2,4,1,3]=>0101010 [[1,2],[3,4],[5,7],[6,8]]=>[6,8,5,7,3,4,1,2]=>0101010 [[1,4],[2,5],[3,6],[7,8]]=>[7,8,3,6,2,5,1,4]=>0101010 [[1,3],[2,5],[4,6],[7,8]]=>[7,8,4,6,2,5,1,3]=>0101010 [[1,2],[3,5],[4,6],[7,8]]=>[7,8,4,6,3,5,1,2]=>0101010 [[1,3],[2,4],[5,6],[7,8]]=>[7,8,5,6,2,4,1,3]=>0101010 [[1,2],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2]=>0101010 [[1,6],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6]=>1101010 [[1,5],[2,7],[3,8],[4],[6]]=>[6,4,3,8,2,7,1,5]=>1101010 [[1,4],[2,7],[3,8],[5],[6]]=>[6,5,3,8,2,7,1,4]=>1101010 [[1,3],[2,7],[4,8],[5],[6]]=>[6,5,4,8,2,7,1,3]=>1101010 [[1,2],[3,7],[4,8],[5],[6]]=>[6,5,4,8,3,7,1,2]=>1101010 [[1,5],[2,6],[3,8],[4],[7]]=>[7,4,3,8,2,6,1,5]=>1101010 [[1,4],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4]=>1101010 [[1,3],[2,6],[4,8],[5],[7]]=>[7,5,4,8,2,6,1,3]=>1101010 [[1,4],[2,5],[3,8],[6],[7]]=>[7,6,3,8,2,5,1,4]=>1101010 [[1,3],[2,5],[4,8],[6],[7]]=>[7,6,4,8,2,5,1,3]=>1101010 [[1,3],[2,4],[5,8],[6],[7]]=>[7,6,5,8,2,4,1,3]=>1101010 [[1,2],[3,4],[5,8],[6],[7]]=>[7,6,5,8,3,4,1,2]=>1101010 [[1,5],[2,6],[3,7],[4],[8]]=>[8,4,3,7,2,6,1,5]=>1101010 [[1,4],[2,6],[3,7],[5],[8]]=>[8,5,3,7,2,6,1,4]=>1101010 [[1,3],[2,6],[4,7],[5],[8]]=>[8,5,4,7,2,6,1,3]=>1101010 [[1,2],[3,6],[4,7],[5],[8]]=>[8,5,4,7,3,6,1,2]=>1101010 [[1,4],[2,5],[3,7],[6],[8]]=>[8,6,3,7,2,5,1,4]=>1101010 [[1,3],[2,5],[4,7],[6],[8]]=>[8,6,4,7,2,5,1,3]=>1101010 [[1,3],[2,4],[5,7],[6],[8]]=>[8,6,5,7,2,4,1,3]=>1101010 [[1,2],[3,4],[5,7],[6],[8]]=>[8,6,5,7,3,4,1,2]=>1101010 [[1,4],[2,5],[3,6],[7],[8]]=>[8,7,3,6,2,5,1,4]=>1101010 [[1,3],[2,5],[4,6],[7],[8]]=>[8,7,4,6,2,5,1,3]=>1101010 [[1,2],[3,5],[4,6],[7],[8]]=>[8,7,4,6,3,5,1,2]=>1101010 [[1,3],[2,4],[5,6],[7],[8]]=>[8,7,5,6,2,4,1,3]=>1101010 [[1,2],[3,4],[5,6],[7],[8]]=>[8,7,5,6,3,4,1,2]=>1101010 [[1,7],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7]=>1111010 [[1,6],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6]=>1111010 [[1,5],[2,8],[3],[4],[6],[7]]=>[7,6,4,3,2,8,1,5]=>1111010 [[1,3],[2,8],[4],[5],[6],[7]]=>[7,6,5,4,2,8,1,3]=>1111010 [[1,2],[3,8],[4],[5],[6],[7]]=>[7,6,5,4,3,8,1,2]=>1111010 [[1,6],[2,7],[3],[4],[5],[8]]=>[8,5,4,3,2,7,1,6]=>1111010 [[1,5],[2,7],[3],[4],[6],[8]]=>[8,6,4,3,2,7,1,5]=>1111010 [[1,4],[2,7],[3],[5],[6],[8]]=>[8,6,5,3,2,7,1,4]=>1111010 [[1,3],[2,7],[4],[5],[6],[8]]=>[8,6,5,4,2,7,1,3]=>1111010 [[1,2],[3,7],[4],[5],[6],[8]]=>[8,6,5,4,3,7,1,2]=>1111010 [[1,5],[2,6],[3],[4],[7],[8]]=>[8,7,4,3,2,6,1,5]=>1111010 [[1,4],[2,6],[3],[5],[7],[8]]=>[8,7,5,3,2,6,1,4]=>1111010 [[1,3],[2,6],[4],[5],[7],[8]]=>[8,7,5,4,2,6,1,3]=>1111010 [[1,4],[2,5],[3],[6],[7],[8]]=>[8,7,6,3,2,5,1,4]=>1111010 [[1,3],[2,5],[4],[6],[7],[8]]=>[8,7,6,4,2,5,1,3]=>1111010 [[1,3],[2,4],[5],[6],[7],[8]]=>[8,7,6,5,2,4,1,3]=>1111010 [[1,2],[3,4],[5],[6],[7],[8]]=>[8,7,6,5,3,4,1,2]=>1111010 [[1,8],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8]=>1111110 [[1,7],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7]=>1111110 [[1,6],[2],[3],[4],[5],[7],[8]]=>[8,7,5,4,3,2,1,6]=>1111110 [[1,5],[2],[3],[4],[6],[7],[8]]=>[8,7,6,4,3,2,1,5]=>1111110 [[1,4],[2],[3],[5],[6],[7],[8]]=>[8,7,6,5,3,2,1,4]=>1111110 [[1,3],[2],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,2,1,3]=>1111110 [[1,2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2]=>1111110 [[1],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1]=>1111111 [[1,3,5,7,9],[2,4,6,8,10]]=>[2,4,6,8,10,1,3,5,7,9]=>000010000 [[1,3,5,7,8],[2,4,6,9,10]]=>[2,4,6,9,10,1,3,5,7,8]=>000010000 [[1,3,5,6,9],[2,4,7,8,10]]=>[2,4,7,8,10,1,3,5,6,9]=>000010000 [[1,3,5,6,8],[2,4,7,9,10]]=>[2,4,7,9,10,1,3,5,6,8]=>000010000 [[1,3,5,6,7],[2,4,8,9,10]]=>[2,4,8,9,10,1,3,5,6,7]=>000010000 [[1,3,4,7,9],[2,5,6,8,10]]=>[2,5,6,8,10,1,3,4,7,9]=>000010000 [[1,3,4,7,8],[2,5,6,9,10]]=>[2,5,6,9,10,1,3,4,7,8]=>000010000 [[1,3,4,6,9],[2,5,7,8,10]]=>[2,5,7,8,10,1,3,4,6,9]=>000010000 [[1,3,4,6,8],[2,5,7,9,10]]=>[2,5,7,9,10,1,3,4,6,8]=>000010000 [[1,3,4,6,7],[2,5,8,9,10]]=>[2,5,8,9,10,1,3,4,6,7]=>000010000 [[1,3,4,5,9],[2,6,7,8,10]]=>[2,6,7,8,10,1,3,4,5,9]=>000010000 [[1,3,4,5,8],[2,6,7,9,10]]=>[2,6,7,9,10,1,3,4,5,8]=>000010000 [[1,3,4,5,7],[2,6,8,9,10]]=>[2,6,8,9,10,1,3,4,5,7]=>000010000 [[1,3,4,5,6],[2,7,8,9,10]]=>[2,7,8,9,10,1,3,4,5,6]=>000010000 [[1,2,5,7,9],[3,4,6,8,10]]=>[3,4,6,8,10,1,2,5,7,9]=>000010000 [[1,2,5,7,8],[3,4,6,9,10]]=>[3,4,6,9,10,1,2,5,7,8]=>000010000 [[1,2,5,6,9],[3,4,7,8,10]]=>[3,4,7,8,10,1,2,5,6,9]=>000010000 [[1,2,5,6,8],[3,4,7,9,10]]=>[3,4,7,9,10,1,2,5,6,8]=>000010000 [[1,2,5,6,7],[3,4,8,9,10]]=>[3,4,8,9,10,1,2,5,6,7]=>000010000 [[1,2,4,7,9],[3,5,6,8,10]]=>[3,5,6,8,10,1,2,4,7,9]=>000010000 [[1,2,4,7,8],[3,5,6,9,10]]=>[3,5,6,9,10,1,2,4,7,8]=>000010000 [[1,2,4,6,9],[3,5,7,8,10]]=>[3,5,7,8,10,1,2,4,6,9]=>000010000 [[1,2,4,6,8],[3,5,7,9,10]]=>[3,5,7,9,10,1,2,4,6,8]=>000010000 [[1,2,4,6,7],[3,5,8,9,10]]=>[3,5,8,9,10,1,2,4,6,7]=>000010000 [[1,2,4,5,9],[3,6,7,8,10]]=>[3,6,7,8,10,1,2,4,5,9]=>000010000 [[1,2,4,5,8],[3,6,7,9,10]]=>[3,6,7,9,10,1,2,4,5,8]=>000010000 [[1,2,4,5,7],[3,6,8,9,10]]=>[3,6,8,9,10,1,2,4,5,7]=>000010000 [[1,2,4,5,6],[3,7,8,9,10]]=>[3,7,8,9,10,1,2,4,5,6]=>000010000 [[1,2,3,7,9],[4,5,6,8,10]]=>[4,5,6,8,10,1,2,3,7,9]=>000010000 [[1,2,3,7,8],[4,5,6,9,10]]=>[4,5,6,9,10,1,2,3,7,8]=>000010000 [[1,2,3,6,9],[4,5,7,8,10]]=>[4,5,7,8,10,1,2,3,6,9]=>000010000 [[1,2,3,6,8],[4,5,7,9,10]]=>[4,5,7,9,10,1,2,3,6,8]=>000010000 [[1,2,3,6,7],[4,5,8,9,10]]=>[4,5,8,9,10,1,2,3,6,7]=>000010000 [[1,2,3,5,9],[4,6,7,8,10]]=>[4,6,7,8,10,1,2,3,5,9]=>000010000 [[1,2,3,5,8],[4,6,7,9,10]]=>[4,6,7,9,10,1,2,3,5,8]=>000010000 [[1,2,3,5,7],[4,6,8,9,10]]=>[4,6,8,9,10,1,2,3,5,7]=>000010000 [[1,2,3,5,6],[4,7,8,9,10]]=>[4,7,8,9,10,1,2,3,5,6]=>000010000 [[1,2,3,4,9],[5,6,7,8,10]]=>[5,6,7,8,10,1,2,3,4,9]=>000010000 [[1,2,3,4,8],[5,6,7,9,10]]=>[5,6,7,9,10,1,2,3,4,8]=>000010000 [[1,2,3,4,7],[5,6,8,9,10]]=>[5,6,8,9,10,1,2,3,4,7]=>000010000 [[1,2,3,4,6],[5,7,8,9,10]]=>[5,7,8,9,10,1,2,3,4,6]=>000010000 [[1,2,3,4,5],[6,7,8,9,10]]=>[6,7,8,9,10,1,2,3,4,5]=>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 [[1,3,5,7,9,10],[2,4,6,8,11,12]]=>[2,4,6,8,11,12,1,3,5,7,9,10]=>00000100000 [[1,3,5,7,8,11],[2,4,6,9,10,12]]=>[2,4,6,9,10,12,1,3,5,7,8,11]=>00000100000 [[1,3,5,7,8,10],[2,4,6,9,11,12]]=>[2,4,6,9,11,12,1,3,5,7,8,10]=>00000100000 [[1,3,5,7,8,9],[2,4,6,10,11,12]]=>[2,4,6,10,11,12,1,3,5,7,8,9]=>00000100000 [[1,3,5,6,9,11],[2,4,7,8,10,12]]=>[2,4,7,8,10,12,1,3,5,6,9,11]=>00000100000 [[1,3,5,6,9,10],[2,4,7,8,11,12]]=>[2,4,7,8,11,12,1,3,5,6,9,10]=>00000100000 [[1,3,5,6,8,11],[2,4,7,9,10,12]]=>[2,4,7,9,10,12,1,3,5,6,8,11]=>00000100000 [[1,3,5,6,8,10],[2,4,7,9,11,12]]=>[2,4,7,9,11,12,1,3,5,6,8,10]=>00000100000 [[1,3,5,6,8,9],[2,4,7,10,11,12]]=>[2,4,7,10,11,12,1,3,5,6,8,9]=>00000100000 [[1,3,5,6,7,11],[2,4,8,9,10,12]]=>[2,4,8,9,10,12,1,3,5,6,7,11]=>00000100000 [[1,3,5,6,7,10],[2,4,8,9,11,12]]=>[2,4,8,9,11,12,1,3,5,6,7,10]=>00000100000 [[1,3,5,6,7,9],[2,4,8,10,11,12]]=>[2,4,8,10,11,12,1,3,5,6,7,9]=>00000100000 [[1,3,5,6,7,8],[2,4,9,10,11,12]]=>[2,4,9,10,11,12,1,3,5,6,7,8]=>00000100000 [[1,3,4,7,9,11],[2,5,6,8,10,12]]=>[2,5,6,8,10,12,1,3,4,7,9,11]=>00000100000 [[1,3,4,7,9,10],[2,5,6,8,11,12]]=>[2,5,6,8,11,12,1,3,4,7,9,10]=>00000100000 [[1,3,4,7,8,11],[2,5,6,9,10,12]]=>[2,5,6,9,10,12,1,3,4,7,8,11]=>00000100000 [[1,3,4,7,8,10],[2,5,6,9,11,12]]=>[2,5,6,9,11,12,1,3,4,7,8,10]=>00000100000 [[1,3,4,7,8,9],[2,5,6,10,11,12]]=>[2,5,6,10,11,12,1,3,4,7,8,9]=>00000100000 [[1,3,4,6,9,11],[2,5,7,8,10,12]]=>[2,5,7,8,10,12,1,3,4,6,9,11]=>00000100000 [[1,3,4,6,9,10],[2,5,7,8,11,12]]=>[2,5,7,8,11,12,1,3,4,6,9,10]=>00000100000 [[1,3,4,6,8,11],[2,5,7,9,10,12]]=>[2,5,7,9,10,12,1,3,4,6,8,11]=>00000100000 [[1,3,4,6,8,10],[2,5,7,9,11,12]]=>[2,5,7,9,11,12,1,3,4,6,8,10]=>00000100000 [[1,3,4,6,8,9],[2,5,7,10,11,12]]=>[2,5,7,10,11,12,1,3,4,6,8,9]=>00000100000 [[1,3,4,6,7,11],[2,5,8,9,10,12]]=>[2,5,8,9,10,12,1,3,4,6,7,11]=>00000100000 [[1,3,4,6,7,10],[2,5,8,9,11,12]]=>[2,5,8,9,11,12,1,3,4,6,7,10]=>00000100000 [[1,3,4,6,7,9],[2,5,8,10,11,12]]=>[2,5,8,10,11,12,1,3,4,6,7,9]=>00000100000 [[1,3,4,6,7,8],[2,5,9,10,11,12]]=>[2,5,9,10,11,12,1,3,4,6,7,8]=>00000100000 [[1,3,4,5,9,11],[2,6,7,8,10,12]]=>[2,6,7,8,10,12,1,3,4,5,9,11]=>00000100000 [[1,3,4,5,9,10],[2,6,7,8,11,12]]=>[2,6,7,8,11,12,1,3,4,5,9,10]=>00000100000 [[1,3,4,5,8,11],[2,6,7,9,10,12]]=>[2,6,7,9,10,12,1,3,4,5,8,11]=>00000100000 [[1,3,4,5,8,10],[2,6,7,9,11,12]]=>[2,6,7,9,11,12,1,3,4,5,8,10]=>00000100000 [[1,3,4,5,8,9],[2,6,7,10,11,12]]=>[2,6,7,10,11,12,1,3,4,5,8,9]=>00000100000 [[1,3,4,5,7,11],[2,6,8,9,10,12]]=>[2,6,8,9,10,12,1,3,4,5,7,11]=>00000100000 [[1,3,4,5,7,10],[2,6,8,9,11,12]]=>[2,6,8,9,11,12,1,3,4,5,7,10]=>00000100000 [[1,3,4,5,7,9],[2,6,8,10,11,12]]=>[2,6,8,10,11,12,1,3,4,5,7,9]=>00000100000 [[1,3,4,5,7,8],[2,6,9,10,11,12]]=>[2,6,9,10,11,12,1,3,4,5,7,8]=>00000100000 [[1,3,4,5,6,11],[2,7,8,9,10,12]]=>[2,7,8,9,10,12,1,3,4,5,6,11]=>00000100000 [[1,3,4,5,6,10],[2,7,8,9,11,12]]=>[2,7,8,9,11,12,1,3,4,5,6,10]=>00000100000 [[1,3,4,5,6,9],[2,7,8,10,11,12]]=>[2,7,8,10,11,12,1,3,4,5,6,9]=>00000100000 [[1,3,4,5,6,8],[2,7,9,10,11,12]]=>[2,7,9,10,11,12,1,3,4,5,6,8]=>00000100000 [[1,3,4,5,6,7],[2,8,9,10,11,12]]=>[2,8,9,10,11,12,1,3,4,5,6,7]=>00000100000 [[1,2,5,7,9,11],[3,4,6,8,10,12]]=>[3,4,6,8,10,12,1,2,5,7,9,11]=>00000100000 [[1,2,5,7,9,10],[3,4,6,8,11,12]]=>[3,4,6,8,11,12,1,2,5,7,9,10]=>00000100000 [[1,2,5,7,8,11],[3,4,6,9,10,12]]=>[3,4,6,9,10,12,1,2,5,7,8,11]=>00000100000 [[1,2,5,7,8,10],[3,4,6,9,11,12]]=>[3,4,6,9,11,12,1,2,5,7,8,10]=>00000100000 [[1,2,5,7,8,9],[3,4,6,10,11,12]]=>[3,4,6,10,11,12,1,2,5,7,8,9]=>00000100000 [[1,2,5,6,9,11],[3,4,7,8,10,12]]=>[3,4,7,8,10,12,1,2,5,6,9,11]=>00000100000 [[1,2,5,6,9,10],[3,4,7,8,11,12]]=>[3,4,7,8,11,12,1,2,5,6,9,10]=>00000100000 [[1,2,5,6,8,11],[3,4,7,9,10,12]]=>[3,4,7,9,10,12,1,2,5,6,8,11]=>00000100000 [[1,2,5,6,8,10],[3,4,7,9,11,12]]=>[3,4,7,9,11,12,1,2,5,6,8,10]=>00000100000 [[1,2,5,6,8,9],[3,4,7,10,11,12]]=>[3,4,7,10,11,12,1,2,5,6,8,9]=>00000100000 [[1,2,5,6,7,11],[3,4,8,9,10,12]]=>[3,4,8,9,10,12,1,2,5,6,7,11]=>00000100000 [[1,2,5,6,7,10],[3,4,8,9,11,12]]=>[3,4,8,9,11,12,1,2,5,6,7,10]=>00000100000 [[1,2,5,6,7,9],[3,4,8,10,11,12]]=>[3,4,8,10,11,12,1,2,5,6,7,9]=>00000100000 [[1,2,5,6,7,8],[3,4,9,10,11,12]]=>[3,4,9,10,11,12,1,2,5,6,7,8]=>00000100000 [[1,2,4,7,9,11],[3,5,6,8,10,12]]=>[3,5,6,8,10,12,1,2,4,7,9,11]=>00000100000 [[1,2,4,7,9,10],[3,5,6,8,11,12]]=>[3,5,6,8,11,12,1,2,4,7,9,10]=>00000100000 [[1,2,4,7,8,11],[3,5,6,9,10,12]]=>[3,5,6,9,10,12,1,2,4,7,8,11]=>00000100000 [[1,2,4,7,8,10],[3,5,6,9,11,12]]=>[3,5,6,9,11,12,1,2,4,7,8,10]=>00000100000 [[1,2,4,7,8,9],[3,5,6,10,11,12]]=>[3,5,6,10,11,12,1,2,4,7,8,9]=>00000100000 [[1,2,4,6,9,11],[3,5,7,8,10,12]]=>[3,5,7,8,10,12,1,2,4,6,9,11]=>00000100000 [[1,2,4,6,9,10],[3,5,7,8,11,12]]=>[3,5,7,8,11,12,1,2,4,6,9,10]=>00000100000 [[1,2,4,6,8,11],[3,5,7,9,10,12]]=>[3,5,7,9,10,12,1,2,4,6,8,11]=>00000100000 [[1,2,4,6,8,10],[3,5,7,9,11,12]]=>[3,5,7,9,11,12,1,2,4,6,8,10]=>00000100000 [[1,2,4,6,8,9],[3,5,7,10,11,12]]=>[3,5,7,10,11,12,1,2,4,6,8,9]=>00000100000 [[1,2,4,6,7,11],[3,5,8,9,10,12]]=>[3,5,8,9,10,12,1,2,4,6,7,11]=>00000100000 [[1,2,4,6,7,10],[3,5,8,9,11,12]]=>[3,5,8,9,11,12,1,2,4,6,7,10]=>00000100000 [[1,2,4,6,7,9],[3,5,8,10,11,12]]=>[3,5,8,10,11,12,1,2,4,6,7,9]=>00000100000 [[1,2,4,6,7,8],[3,5,9,10,11,12]]=>[3,5,9,10,11,12,1,2,4,6,7,8]=>00000100000 [[1,2,4,5,9,11],[3,6,7,8,10,12]]=>[3,6,7,8,10,12,1,2,4,5,9,11]=>00000100000 [[1,2,4,5,9,10],[3,6,7,8,11,12]]=>[3,6,7,8,11,12,1,2,4,5,9,10]=>00000100000 [[1,2,4,5,8,11],[3,6,7,9,10,12]]=>[3,6,7,9,10,12,1,2,4,5,8,11]=>00000100000 [[1,2,4,5,8,10],[3,6,7,9,11,12]]=>[3,6,7,9,11,12,1,2,4,5,8,10]=>00000100000 [[1,2,4,5,8,9],[3,6,7,10,11,12]]=>[3,6,7,10,11,12,1,2,4,5,8,9]=>00000100000 [[1,2,4,5,7,11],[3,6,8,9,10,12]]=>[3,6,8,9,10,12,1,2,4,5,7,11]=>00000100000 [[1,2,4,5,7,10],[3,6,8,9,11,12]]=>[3,6,8,9,11,12,1,2,4,5,7,10]=>00000100000 [[1,2,4,5,7,9],[3,6,8,10,11,12]]=>[3,6,8,10,11,12,1,2,4,5,7,9]=>00000100000 [[1,2,4,5,7,8],[3,6,9,10,11,12]]=>[3,6,9,10,11,12,1,2,4,5,7,8]=>00000100000 [[1,2,4,5,6,11],[3,7,8,9,10,12]]=>[3,7,8,9,10,12,1,2,4,5,6,11]=>00000100000 [[1,2,4,5,6,10],[3,7,8,9,11,12]]=>[3,7,8,9,11,12,1,2,4,5,6,10]=>00000100000 [[1,2,4,5,6,9],[3,7,8,10,11,12]]=>[3,7,8,10,11,12,1,2,4,5,6,9]=>00000100000 [[1,2,4,5,6,8],[3,7,9,10,11,12]]=>[3,7,9,10,11,12,1,2,4,5,6,8]=>00000100000 [[1,2,4,5,6,7],[3,8,9,10,11,12]]=>[3,8,9,10,11,12,1,2,4,5,6,7]=>00000100000 [[1,2,3,7,9,11],[4,5,6,8,10,12]]=>[4,5,6,8,10,12,1,2,3,7,9,11]=>00000100000 [[1,2,3,7,9,10],[4,5,6,8,11,12]]=>[4,5,6,8,11,12,1,2,3,7,9,10]=>00000100000 [[1,2,3,7,8,11],[4,5,6,9,10,12]]=>[4,5,6,9,10,12,1,2,3,7,8,11]=>00000100000 [[1,2,3,7,8,10],[4,5,6,9,11,12]]=>[4,5,6,9,11,12,1,2,3,7,8,10]=>00000100000 [[1,2,3,7,8,9],[4,5,6,10,11,12]]=>[4,5,6,10,11,12,1,2,3,7,8,9]=>00000100000 [[1,2,3,6,9,11],[4,5,7,8,10,12]]=>[4,5,7,8,10,12,1,2,3,6,9,11]=>00000100000 [[1,2,3,6,9,10],[4,5,7,8,11,12]]=>[4,5,7,8,11,12,1,2,3,6,9,10]=>00000100000 [[1,2,3,6,8,11],[4,5,7,9,10,12]]=>[4,5,7,9,10,12,1,2,3,6,8,11]=>00000100000 [[1,2,3,6,8,10],[4,5,7,9,11,12]]=>[4,5,7,9,11,12,1,2,3,6,8,10]=>00000100000 [[1,2,3,6,8,9],[4,5,7,10,11,12]]=>[4,5,7,10,11,12,1,2,3,6,8,9]=>00000100000 [[1,2,3,6,7,11],[4,5,8,9,10,12]]=>[4,5,8,9,10,12,1,2,3,6,7,11]=>00000100000 [[1,2,3,6,7,10],[4,5,8,9,11,12]]=>[4,5,8,9,11,12,1,2,3,6,7,10]=>00000100000 [[1,2,3,6,7,9],[4,5,8,10,11,12]]=>[4,5,8,10,11,12,1,2,3,6,7,9]=>00000100000 [[1,2,3,6,7,8],[4,5,9,10,11,12]]=>[4,5,9,10,11,12,1,2,3,6,7,8]=>00000100000 [[1,2,3,5,9,11],[4,6,7,8,10,12]]=>[4,6,7,8,10,12,1,2,3,5,9,11]=>00000100000 [[1,2,3,5,9,10],[4,6,7,8,11,12]]=>[4,6,7,8,11,12,1,2,3,5,9,10]=>00000100000 [[1,2,3,5,8,11],[4,6,7,9,10,12]]=>[4,6,7,9,10,12,1,2,3,5,8,11]=>00000100000 [[1,2,3,5,8,10],[4,6,7,9,11,12]]=>[4,6,7,9,11,12,1,2,3,5,8,10]=>00000100000 [[1,2,3,5,8,9],[4,6,7,10,11,12]]=>[4,6,7,10,11,12,1,2,3,5,8,9]=>00000100000 [[1,2,3,5,7,11],[4,6,8,9,10,12]]=>[4,6,8,9,10,12,1,2,3,5,7,11]=>00000100000 [[1,2,3,5,7,10],[4,6,8,9,11,12]]=>[4,6,8,9,11,12,1,2,3,5,7,10]=>00000100000 [[1,2,3,5,7,9],[4,6,8,10,11,12]]=>[4,6,8,10,11,12,1,2,3,5,7,9]=>00000100000 [[1,2,3,5,7,8],[4,6,9,10,11,12]]=>[4,6,9,10,11,12,1,2,3,5,7,8]=>00000100000 [[1,2,3,5,6,11],[4,7,8,9,10,12]]=>[4,7,8,9,10,12,1,2,3,5,6,11]=>00000100000 [[1,2,3,5,6,10],[4,7,8,9,11,12]]=>[4,7,8,9,11,12,1,2,3,5,6,10]=>00000100000 [[1,2,3,5,6,9],[4,7,8,10,11,12]]=>[4,7,8,10,11,12,1,2,3,5,6,9]=>00000100000 [[1,2,3,5,6,8],[4,7,9,10,11,12]]=>[4,7,9,10,11,12,1,2,3,5,6,8]=>00000100000 [[1,2,3,5,6,7],[4,8,9,10,11,12]]=>[4,8,9,10,11,12,1,2,3,5,6,7]=>00000100000 [[1,2,3,4,9,11],[5,6,7,8,10,12]]=>[5,6,7,8,10,12,1,2,3,4,9,11]=>00000100000 [[1,2,3,4,9,10],[5,6,7,8,11,12]]=>[5,6,7,8,11,12,1,2,3,4,9,10]=>00000100000 [[1,2,3,4,8,11],[5,6,7,9,10,12]]=>[5,6,7,9,10,12,1,2,3,4,8,11]=>00000100000 [[1,2,3,4,8,10],[5,6,7,9,11,12]]=>[5,6,7,9,11,12,1,2,3,4,8,10]=>00000100000 [[1,2,3,4,8,9],[5,6,7,10,11,12]]=>[5,6,7,10,11,12,1,2,3,4,8,9]=>00000100000 [[1,2,3,4,7,11],[5,6,8,9,10,12]]=>[5,6,8,9,10,12,1,2,3,4,7,11]=>00000100000 [[1,2,3,4,7,10],[5,6,8,9,11,12]]=>[5,6,8,9,11,12,1,2,3,4,7,10]=>00000100000 [[1,2,3,4,7,9],[5,6,8,10,11,12]]=>[5,6,8,10,11,12,1,2,3,4,7,9]=>00000100000 [[1,2,3,4,7,8],[5,6,9,10,11,12]]=>[5,6,9,10,11,12,1,2,3,4,7,8]=>00000100000 [[1,2,3,4,6,11],[5,7,8,9,10,12]]=>[5,7,8,9,10,12,1,2,3,4,6,11]=>00000100000 [[1,2,3,4,6,10],[5,7,8,9,11,12]]=>[5,7,8,9,11,12,1,2,3,4,6,10]=>00000100000 [[1,2,3,4,6,9],[5,7,8,10,11,12]]=>[5,7,8,10,11,12,1,2,3,4,6,9]=>00000100000 [[1,2,3,4,6,8],[5,7,9,10,11,12]]=>[5,7,9,10,11,12,1,2,3,4,6,8]=>00000100000 [[1,2,3,4,6,7],[5,8,9,10,11,12]]=>[5,8,9,10,11,12,1,2,3,4,6,7]=>00000100000 [[1,2,3,4,5,11],[6,7,8,9,10,12]]=>[6,7,8,9,10,12,1,2,3,4,5,11]=>00000100000 [[1,2,3,4,5,10],[6,7,8,9,11,12]]=>[6,7,8,9,11,12,1,2,3,4,5,10]=>00000100000 [[1,2,3,4,5,9],[6,7,8,10,11,12]]=>[6,7,8,10,11,12,1,2,3,4,5,9]=>00000100000 [[1,2,3,4,5,8],[6,7,9,10,11,12]]=>[6,7,9,10,11,12,1,2,3,4,5,8]=>00000100000 [[1,2,3,4,5,7],[6,8,9,10,11,12]]=>[6,8,9,10,11,12,1,2,3,4,5,7]=>00000100000 [[1,2,3,4,5,6],[7,8,9,10,11,12]]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>00000100000 [[1,2,3,4,5,6,7,8,9]]=>[1,2,3,4,5,6,7,8,9]=>00000000 [[1,2,3,4,5,6,7,8],[9]]=>[9,1,2,3,4,5,6,7,8]=>10000000 [[1,2,3,4,5,6,7],[8,9]]=>[8,9,1,2,3,4,5,6,7]=>01000000 [[1,2,3,4,5,6,7],[8],[9]]=>[9,8,1,2,3,4,5,6,7]=>11000000 [[1,2,3,4,5,6],[7,8,9]]=>[7,8,9,1,2,3,4,5,6]=>00100000 [[1,2,3,4,5,6],[7,8],[9]]=>[9,7,8,1,2,3,4,5,6]=>10100000 [[1,2,3,4,5,6],[7],[8],[9]]=>[9,8,7,1,2,3,4,5,6]=>11100000 [[1,2,3,4,5],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5]=>00010000 [[1,2,3,4,5],[6,7,8],[9]]=>[9,6,7,8,1,2,3,4,5]=>10010000 [[1,2,3,4,5],[6,7],[8,9]]=>[8,9,6,7,1,2,3,4,5]=>01010000 [[1,2,3,4,5],[6,7],[8],[9]]=>[9,8,6,7,1,2,3,4,5]=>11010000 [[1,2,3,4,5],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5]=>11110000 [[1,2,3,4],[5,6,7,8],[9]]=>[9,5,6,7,8,1,2,3,4]=>10001000 [[1,2,3,4],[5,6,7],[8,9]]=>[8,9,5,6,7,1,2,3,4]=>01001000 [[1,2,3,4],[5,6,7],[8],[9]]=>[9,8,5,6,7,1,2,3,4]=>11001000 [[1,2,3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,1,2,3,4]=>10101000 [[1,2,3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,1,2,3,4]=>11101000 [[1,2,3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,1,2,3,4]=>11111000 [[1,2,3],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3]=>00100100 [[1,2,3],[4,5,6],[7,8],[9]]=>[9,7,8,4,5,6,1,2,3]=>10100100 [[1,2,3],[4,5,6],[7],[8],[9]]=>[9,8,7,4,5,6,1,2,3]=>11100100 [[1,2,3],[4,5],[6,7],[8,9]]=>[8,9,6,7,4,5,1,2,3]=>01010100 [[1,2,3],[4,5],[6,7],[8],[9]]=>[9,8,6,7,4,5,1,2,3]=>11010100 [[1,2,3],[4,5],[6],[7],[8],[9]]=>[9,8,7,6,4,5,1,2,3]=>11110100 [[1,2,3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,1,2,3]=>11111100 [[1,2],[3,4],[5,6],[7,8],[9]]=>[9,7,8,5,6,3,4,1,2]=>10101010 [[1,2],[3,4],[5,6],[7],[8],[9]]=>[9,8,7,5,6,3,4,1,2]=>11101010 [[1,2],[3,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,4,1,2]=>11111010 [[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2]=>11111110 [[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1]=>11111111 [[1,2,3,4,5,6,7,8,9,10]]=>[1,2,3,4,5,6,7,8,9,10]=>000000000 [[1,2,3,4,5,6,7,8,9],[10]]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [[1,2,3,4,5,6,7,8],[9,10]]=>[9,10,1,2,3,4,5,6,7,8]=>010000000 [[1,2,3,4,5,6,7,8],[9],[10]]=>[10,9,1,2,3,4,5,6,7,8]=>110000000 [[1,2,3,4,5,6,7],[8,9,10]]=>[8,9,10,1,2,3,4,5,6,7]=>001000000 [[1,2,3,4,5,6,7],[8,9],[10]]=>[10,8,9,1,2,3,4,5,6,7]=>101000000 [[1,2,3,4,5,6,7],[8],[9],[10]]=>[10,9,8,1,2,3,4,5,6,7]=>111000000 [[1,2,3,4,5,6],[7,8,9,10]]=>[7,8,9,10,1,2,3,4,5,6]=>000100000 [[1,2,3,4,5,6],[7,8,9],[10]]=>[10,7,8,9,1,2,3,4,5,6]=>100100000 [[1,2,3,4,5,6],[7,8],[9,10]]=>[9,10,7,8,1,2,3,4,5,6]=>010100000 [[1,2,3,4,5,6],[7,8],[9],[10]]=>[10,9,7,8,1,2,3,4,5,6]=>110100000 [[1,2,3,4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,1,2,3,4,5,6]=>111100000 [[1,2,3,4,5],[6,7,8,9],[10]]=>[10,6,7,8,9,1,2,3,4,5]=>100010000 [[1,2,3,4,5],[6,7,8],[9,10]]=>[9,10,6,7,8,1,2,3,4,5]=>010010000 [[1,2,3,4,5],[6,7,8],[9],[10]]=>[10,9,6,7,8,1,2,3,4,5]=>110010000 [[1,2,3,4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,1,2,3,4,5]=>101010000 [[1,2,3,4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,1,2,3,4,5]=>111010000 [[1,2,3,4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,1,2,3,4,5]=>111110000 [[1,2,3,4],[5,6,7,8],[9,10]]=>[9,10,5,6,7,8,1,2,3,4]=>010001000 [[1,2,3,4],[5,6,7,8],[9],[10]]=>[10,9,5,6,7,8,1,2,3,4]=>110001000 [[1,2,3,4],[5,6,7],[8,9,10]]=>[8,9,10,5,6,7,1,2,3,4]=>001001000 [[1,2,3,4],[5,6,7],[8,9],[10]]=>[10,8,9,5,6,7,1,2,3,4]=>101001000 [[1,2,3,4],[5,6,7],[8],[9],[10]]=>[10,9,8,5,6,7,1,2,3,4]=>111001000 [[1,2,3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,1,2,3,4]=>010101000 [[1,2,3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,1,2,3,4]=>110101000 [[1,2,3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,1,2,3,4]=>111101000 [[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,1,2,3,4]=>111111000 [[1,2,3],[4,5,6],[7,8,9],[10]]=>[10,7,8,9,4,5,6,1,2,3]=>100100100 [[1,2,3],[4,5,6],[7,8],[9,10]]=>[9,10,7,8,4,5,6,1,2,3]=>010100100 [[1,2,3],[4,5,6],[7,8],[9],[10]]=>[10,9,7,8,4,5,6,1,2,3]=>110100100 [[1,2,3],[4,5,6],[7],[8],[9],[10]]=>[10,9,8,7,4,5,6,1,2,3]=>111100100 [[1,2,3],[4,5],[6,7],[8,9],[10]]=>[10,8,9,6,7,4,5,1,2,3]=>101010100 [[1,2,3],[4,5],[6,7],[8],[9],[10]]=>[10,9,8,6,7,4,5,1,2,3]=>111010100 [[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,5,1,2,3]=>111110100 [[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,1,2,3]=>111111100 [[1,2],[3,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,3,4,1,2]=>010101010 [[1,2],[3,4],[5,6],[7,8],[9],[10]]=>[10,9,7,8,5,6,3,4,1,2]=>110101010 [[1,2],[3,4],[5,6],[7],[8],[9],[10]]=>[10,9,8,7,5,6,3,4,1,2]=>111101010 [[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,4,1,2]=>111111010 [[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,1,2]=>111111110 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,3,2,1]=>111111111 [[1,2,3,4,5,6,7,8,9,10,11,12]]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>00000000000 [[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>01000100000 [[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>01010001000 [[1,2,3,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>01010101000 [[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 [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>11111111111 [[1,3,4,5,6,7,8,9],[2]]=>[2,1,3,4,5,6,7,8,9]=>10000000 [[1,2,5,6,7,8,9],[3,4]]=>[3,4,1,2,5,6,7,8,9]=>01000000 [[1,4,5,6,7,8,9],[2],[3]]=>[3,2,1,4,5,6,7,8,9]=>11000000 [[1,2,3,7,8,9],[4,5,6]]=>[4,5,6,1,2,3,7,8,9]=>00100000 [[1,3,6,7,8,9],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9]=>10100000 [[1,5,6,7,8,9],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9]=>11100000 [[1,2,3,4,9],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9]=>00010000 [[1,3,4,8,9],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9]=>10010000 [[1,2,7,8,9],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9]=>01010000 [[1,4,7,8,9],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9]=>11010000 [[1,6,7,8,9],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9]=>11110000 [[1,3,4,5],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5]=>10001000 [[1,2,5,9],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9]=>01001000 [[1,4,5,9],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9]=>11001000 [[1,3,8,9],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9]=>10101000 [[1,5,8,9],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9]=>11101000 [[1,7,8,9],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9]=>11111000 [[1,3,6],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6]=>10100100 [[1,5,6],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6]=>11100100 [[1,2,9],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9]=>01010100 [[1,4,9],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9]=>11010100 [[1,6,9],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9]=>11110100 [[1,8,9],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9]=>11111100 [[1,3],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3]=>10101010 [[1,5],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5]=>11101010 [[1,7],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7]=>11111010 [[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9]=>11111110 [[1,3,4,5,6,7,8,9,10],[2]]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [[1,2,5,6,7,8,9,10],[3,4]]=>[3,4,1,2,5,6,7,8,9,10]=>010000000 [[1,4,5,6,7,8,9,10],[2],[3]]=>[3,2,1,4,5,6,7,8,9,10]=>110000000 [[1,2,3,7,8,9,10],[4,5,6]]=>[4,5,6,1,2,3,7,8,9,10]=>001000000 [[1,3,6,7,8,9,10],[2,5],[4]]=>[4,2,5,1,3,6,7,8,9,10]=>101000000 [[1,5,6,7,8,9,10],[2],[3],[4]]=>[4,3,2,1,5,6,7,8,9,10]=>111000000 [[1,2,3,4,9,10],[5,6,7,8]]=>[5,6,7,8,1,2,3,4,9,10]=>000100000 [[1,3,4,8,9,10],[2,6,7],[5]]=>[5,2,6,7,1,3,4,8,9,10]=>100100000 [[1,2,7,8,9,10],[3,4],[5,6]]=>[5,6,3,4,1,2,7,8,9,10]=>010100000 [[1,4,7,8,9,10],[2,6],[3],[5]]=>[5,3,2,6,1,4,7,8,9,10]=>110100000 [[1,6,7,8,9,10],[2],[3],[4],[5]]=>[5,4,3,2,1,6,7,8,9,10]=>111100000 [[1,3,4,5,10],[2,7,8,9],[6]]=>[6,2,7,8,9,1,3,4,5,10]=>100010000 [[1,2,5,9,10],[3,4,8],[6,7]]=>[6,7,3,4,8,1,2,5,9,10]=>010010000 [[1,4,5,9,10],[2,7,8],[3],[6]]=>[6,3,2,7,8,1,4,5,9,10]=>110010000 [[1,3,8,9,10],[2,5],[4,7],[6]]=>[6,4,7,2,5,1,3,8,9,10]=>101010000 [[1,5,8,9,10],[2,7],[3],[4],[6]]=>[6,4,3,2,7,1,5,8,9,10]=>111010000 [[1,7,8,9,10],[2],[3],[4],[5],[6]]=>[6,5,4,3,2,1,7,8,9,10]=>111110000 [[1,2,5,6],[3,4,9,10],[7,8]]=>[7,8,3,4,9,10,1,2,5,6]=>010001000 [[1,4,5,6],[2,8,9,10],[3],[7]]=>[7,3,2,8,9,10,1,4,5,6]=>110001000 [[1,2,3,10],[4,5,6],[7,8,9]]=>[7,8,9,4,5,6,1,2,3,10]=>001001000 [[1,3,6,10],[2,5,9],[4,8],[7]]=>[7,4,8,2,5,9,1,3,6,10]=>101001000 [[1,5,6,10],[2,8,9],[3],[4],[7]]=>[7,4,3,2,8,9,1,5,6,10]=>111001000 [[1,2,9,10],[3,4],[5,6],[7,8]]=>[7,8,5,6,3,4,1,2,9,10]=>010101000 [[1,4,9,10],[2,6],[3,8],[5],[7]]=>[7,5,3,8,2,6,1,4,9,10]=>110101000 [[1,6,9,10],[2,8],[3],[4],[5],[7]]=>[7,5,4,3,2,8,1,6,9,10]=>111101000 [[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,1,8,9,10]=>111111000 [[1,3,4],[2,6,7],[5,9,10],[8]]=>[8,5,9,10,2,6,7,1,3,4]=>100100100 [[1,2,7],[3,4,10],[5,6],[8,9]]=>[8,9,5,6,3,4,10,1,2,7]=>010100100 [[1,4,7],[2,6,10],[3,9],[5],[8]]=>[8,5,3,9,2,6,10,1,4,7]=>110100100 [[1,6,7],[2,9,10],[3],[4],[5],[8]]=>[8,5,4,3,2,9,10,1,6,7]=>111100100 [[1,3,10],[2,5],[4,7],[6,9],[8]]=>[8,6,9,4,7,2,5,1,3,10]=>101010100 [[1,5,10],[2,7],[3,9],[4],[6],[8]]=>[8,6,4,3,9,2,7,1,5,10]=>111010100 [[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,9,1,7,10]=>111110100 [[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,1,9,10]=>111111100 [[1,4],[2,6],[3,8],[5,10],[7],[9]]=>[9,7,5,10,3,8,2,6,1,4]=>110101010 [[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>[9,7,5,4,3,10,2,8,1,6]=>111101010 [[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,10,1,8]=>111111010 [[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,2,1,10]=>111111110 [[1,8],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8]=>11111010 [[1,7],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7]=>11101010 [[1,7,9],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9]=>11110100 [[1,6],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6]=>10101010 [[1,6,9],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9]=>11010100 [[1,6,8],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8]=>11100100 [[1,6,8,9],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9]=>11101000 [[1,5,9],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9]=>01010100 [[1,5,8],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8]=>10100100 [[1,5,8,9],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9]=>10101000 [[1,5,7,9],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9]=>11001000 [[1,5,7,8,9],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9]=>11010000 [[1,4,7],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7]=>00100100 [[1,4,7,9],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9]=>01001000 [[1,4,7,8,9],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9]=>01010000 [[1,4,6,8],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8]=>10001000 [[1,4,6,8,9],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9]=>10010000 [[1,4,6,7,8,9],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9]=>10100000 [[1,3,5,7,9],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9]=>00010000 [[1,3,5,7,8,9],[2,4,6]]=>[2,4,6,1,3,5,7,8,9]=>00100000 [[1,3,5,6,7,8,9],[2,4]]=>[2,4,1,3,5,6,7,8,9]=>01000000 [[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,2,10,1,9]=>111111010 [[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>[7,6,5,4,3,10,2,9,1,8]=>111101010 [[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,9,1,8,10]=>111110100 [[1,7],[2,8],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,1,7]=>110101010 [[1,7,10],[2,8],[3,9],[4],[5],[6]]=>[6,5,4,3,9,2,8,1,7,10]=>111010100 [[1,7,9],[2,8,10],[3],[4],[5],[6]]=>[6,5,4,3,2,8,10,1,7,9]=>111100100 [[1,7,9,10],[2,8],[3],[4],[5],[6]]=>[6,5,4,3,2,8,1,7,9,10]=>111101000 [[1,6],[2,7],[3,8],[4,9],[5,10]]=>[5,10,4,9,3,8,2,7,1,6]=>010101010 [[1,6,10],[2,7],[3,8],[4,9],[5]]=>[5,4,9,3,8,2,7,1,6,10]=>101010100 [[1,6,9],[2,7,10],[3,8],[4],[5]]=>[5,4,3,8,2,7,10,1,6,9]=>110100100 [[1,6,9,10],[2,7],[3,8],[4],[5]]=>[5,4,3,8,2,7,1,6,9,10]=>110101000 [[1,6,8,10],[2,7,9],[3],[4],[5]]=>[5,4,3,2,7,9,1,6,8,10]=>111001000 [[1,6,8,9,10],[2,7],[3],[4],[5]]=>[5,4,3,2,7,1,6,8,9,10]=>111010000 [[1,5,9],[2,6,10],[3,7],[4,8]]=>[4,8,3,7,2,6,10,1,5,9]=>010100100 [[1,5,9,10],[2,6],[3,7],[4,8]]=>[4,8,3,7,2,6,1,5,9,10]=>010101000 [[1,5,8],[2,6,9],[3,7,10],[4]]=>[4,3,7,10,2,6,9,1,5,8]=>100100100 [[1,5,8,10],[2,6,9],[3,7],[4]]=>[4,3,7,2,6,9,1,5,8,10]=>101001000 [[1,5,8,9,10],[2,6],[3,7],[4]]=>[4,3,7,2,6,1,5,8,9,10]=>101010000 [[1,5,7,9],[2,6,8,10],[3],[4]]=>[4,3,2,6,8,10,1,5,7,9]=>110001000 [[1,5,7,9,10],[2,6,8],[3],[4]]=>[4,3,2,6,8,1,5,7,9,10]=>110010000 [[1,5,7,8,9,10],[2,6],[3],[4]]=>[4,3,2,6,1,5,7,8,9,10]=>110100000 [[1,4,7,10],[2,5,8],[3,6,9]]=>[3,6,9,2,5,8,1,4,7,10]=>001001000 [[1,4,7,9],[2,5,8,10],[3,6]]=>[3,6,2,5,8,10,1,4,7,9]=>010001000 [[1,4,7,9,10],[2,5,8],[3,6]]=>[3,6,2,5,8,1,4,7,9,10]=>010010000 [[1,4,7,8,9,10],[2,5],[3,6]]=>[3,6,2,5,1,4,7,8,9,10]=>010100000 [[1,4,6,8,10],[2,5,7,9],[3]]=>[3,2,5,7,9,1,4,6,8,10]=>100010000 [[1,4,6,8,9,10],[2,5,7],[3]]=>[3,2,5,7,1,4,6,8,9,10]=>100100000 [[1,4,6,7,8,9,10],[2,5],[3]]=>[3,2,5,1,4,6,7,8,9,10]=>101000000 [[1,3,5,7,9,10],[2,4,6,8]]=>[2,4,6,8,1,3,5,7,9,10]=>000100000 [[1,3,5,7,8,9,10],[2,4,6]]=>[2,4,6,1,3,5,7,8,9,10]=>001000000 [[1,3,5,6,7,8,9,10],[2,4]]=>[2,4,1,3,5,6,7,8,9,10]=>010000000 [[1,3],[2,4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,4,1,3]=>11111010 [[1,4],[2,5],[3,6],[7],[8],[9]]=>[9,8,7,3,6,2,5,1,4]=>11101010 [[1,2,4],[3,5],[6],[7],[8],[9]]=>[9,8,7,6,3,5,1,2,4]=>11110100 [[1,5],[2,6],[3,7],[4,8],[9]]=>[9,4,8,3,7,2,6,1,5]=>10101010 [[1,2,5],[3,6],[4,7],[8],[9]]=>[9,8,4,7,3,6,1,2,5]=>11010100 [[1,3,5],[2,4,6],[7],[8],[9]]=>[9,8,7,2,4,6,1,3,5]=>11100100 [[1,2,3,5],[4,6],[7],[8],[9]]=>[9,8,7,4,6,1,2,3,5]=>11101000 [[1,2,6],[3,7],[4,8],[5,9]]=>[5,9,4,8,3,7,1,2,6]=>01010100 [[1,3,6],[2,4,7],[5,8],[9]]=>[9,5,8,2,4,7,1,3,6]=>10100100 [[1,2,3,6],[4,7],[5,8],[9]]=>[9,5,8,4,7,1,2,3,6]=>10101000 [[1,2,4,6],[3,5,7],[8],[9]]=>[9,8,3,5,7,1,2,4,6]=>11001000 [[1,2,3,4,6],[5,7],[8],[9]]=>[9,8,5,7,1,2,3,4,6]=>11010000 [[1,2,4,7],[3,5,8],[6,9]]=>[6,9,3,5,8,1,2,4,7]=>01001000 [[1,2,3,4,7],[5,8],[6,9]]=>[6,9,5,8,1,2,3,4,7]=>01010000 [[1,3,5,7],[2,4,6,8],[9]]=>[9,2,4,6,8,1,3,5,7]=>10001000 [[1,2,3,5,7],[4,6,8],[9]]=>[9,4,6,8,1,2,3,5,7]=>10010000 [[1,2,3,4,5,7],[6,8],[9]]=>[9,6,8,1,2,3,4,5,7]=>10100000 [[1,2,4,6,8],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8]=>00010000 [[1,2,3,4,6,8],[5,7,9]]=>[5,7,9,1,2,3,4,6,8]=>00100000 [[1,2,3,4,5,6,8],[7,9]]=>[7,9,1,2,3,4,5,6,8]=>01000000 [[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,2,4,1,3]=>111111010 [[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>[10,9,8,7,3,6,2,5,1,4]=>111101010 [[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,3,5,1,2,4]=>111110100 [[1,5],[2,6],[3,7],[4,8],[9],[10]]=>[10,9,4,8,3,7,2,6,1,5]=>110101010 [[1,2,5],[3,6],[4,7],[8],[9],[10]]=>[10,9,8,4,7,3,6,1,2,5]=>111010100 [[1,3,5],[2,4,6],[7],[8],[9],[10]]=>[10,9,8,7,2,4,6,1,3,5]=>111100100 [[1,2,3,5],[4,6],[7],[8],[9],[10]]=>[10,9,8,7,4,6,1,2,3,5]=>111101000 [[1,2,6],[3,7],[4,8],[5,9],[10]]=>[10,5,9,4,8,3,7,1,2,6]=>101010100 [[1,3,6],[2,4,7],[5,8],[9],[10]]=>[10,9,5,8,2,4,7,1,3,6]=>110100100 [[1,2,3,6],[4,7],[5,8],[9],[10]]=>[10,9,5,8,4,7,1,2,3,6]=>110101000 [[1,2,4,6],[3,5,7],[8],[9],[10]]=>[10,9,8,3,5,7,1,2,4,6]=>111001000 [[1,2,3,4,6],[5,7],[8],[9],[10]]=>[10,9,8,5,7,1,2,3,4,6]=>111010000 [[1,3,7],[2,4,8],[5,9],[6,10]]=>[6,10,5,9,2,4,8,1,3,7]=>010100100 [[1,2,3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,1,2,3,7]=>010101000 [[1,4,7],[2,5,8],[3,6,9],[10]]=>[10,3,6,9,2,5,8,1,4,7]=>100100100 [[1,2,4,7],[3,5,8],[6,9],[10]]=>[10,6,9,3,5,8,1,2,4,7]=>101001000 [[1,2,3,4,7],[5,8],[6,9],[10]]=>[10,6,9,5,8,1,2,3,4,7]=>101010000 [[1,3,5,7],[2,4,6,8],[9],[10]]=>[10,9,2,4,6,8,1,3,5,7]=>110001000 [[1,2,3,5,7],[4,6,8],[9],[10]]=>[10,9,4,6,8,1,2,3,5,7]=>110010000 [[1,2,3,4,5,7],[6,8],[9],[10]]=>[10,9,6,8,1,2,3,4,5,7]=>110100000 [[1,2,5,8],[3,6,9],[4,7,10]]=>[4,7,10,3,6,9,1,2,5,8]=>001001000 [[1,3,5,8],[2,4,6,9],[7,10]]=>[7,10,2,4,6,9,1,3,5,8]=>010001000 [[1,2,3,5,8],[4,6,9],[7,10]]=>[7,10,4,6,9,1,2,3,5,8]=>010010000 [[1,2,3,4,5,8],[6,9],[7,10]]=>[7,10,6,9,1,2,3,4,5,8]=>010100000 [[1,2,4,6,8],[3,5,7,9],[10]]=>[10,3,5,7,9,1,2,4,6,8]=>100010000 [[1,2,3,4,6,8],[5,7,9],[10]]=>[10,5,7,9,1,2,3,4,6,8]=>100100000 [[1,2,3,4,5,6,8],[7,9],[10]]=>[10,7,9,1,2,3,4,5,6,8]=>101000000 [[1,2,3,5,7,9],[4,6,8,10]]=>[4,6,8,10,1,2,3,5,7,9]=>000100000 [[1,2,3,4,5,7,9],[6,8,10]]=>[6,8,10,1,2,3,4,5,7,9]=>001000000 [[1,2,3,4,5,6,7,9],[8,10]]=>[8,10,1,2,3,4,5,6,7,9]=>010000000 [[1,2],[3,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,3,4,1,2]=>010101010 [[1,2],[3,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,3,4,1,2]=>010101010 [[1,2],[3,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,3,4,1,2]=>010101010 [[1,2],[3,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,3,4,1,2]=>010101010 [[1,2],[3,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,3,5,1,2]=>010101010 [[1,2],[3,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,3,5,1,2]=>010101010 [[1,2],[3,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,3,5,1,2]=>010101010 [[1,2],[3,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,3,5,1,2]=>010101010 [[1,2],[3,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,3,5,1,2]=>010101010 [[1,2],[3,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,3,6,1,2]=>010101010 [[1,2],[3,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,3,6,1,2]=>010101010 [[1,2],[3,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,3,6,1,2]=>010101010 [[1,2],[3,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,3,7,1,2]=>010101010 [[1,3],[2,4],[5,6],[7,8],[9,10]]=>[9,10,7,8,5,6,2,4,1,3]=>010101010 [[1,3],[2,4],[5,6],[7,9],[8,10]]=>[8,10,7,9,5,6,2,4,1,3]=>010101010 [[1,3],[2,4],[5,7],[6,8],[9,10]]=>[9,10,6,8,5,7,2,4,1,3]=>010101010 [[1,3],[2,4],[5,7],[6,9],[8,10]]=>[8,10,6,9,5,7,2,4,1,3]=>010101010 [[1,3],[2,4],[5,8],[6,9],[7,10]]=>[7,10,6,9,5,8,2,4,1,3]=>010101010 [[1,3],[2,5],[4,6],[7,8],[9,10]]=>[9,10,7,8,4,6,2,5,1,3]=>010101010 [[1,3],[2,5],[4,6],[7,9],[8,10]]=>[8,10,7,9,4,6,2,5,1,3]=>010101010 [[1,3],[2,5],[4,7],[6,8],[9,10]]=>[9,10,6,8,4,7,2,5,1,3]=>010101010 [[1,3],[2,5],[4,7],[6,9],[8,10]]=>[8,10,6,9,4,7,2,5,1,3]=>010101010 [[1,3],[2,5],[4,8],[6,9],[7,10]]=>[7,10,6,9,4,8,2,5,1,3]=>010101010 [[1,3],[2,6],[4,7],[5,8],[9,10]]=>[9,10,5,8,4,7,2,6,1,3]=>010101010 [[1,3],[2,6],[4,7],[5,9],[8,10]]=>[8,10,5,9,4,7,2,6,1,3]=>010101010 [[1,3],[2,6],[4,8],[5,9],[7,10]]=>[7,10,5,9,4,8,2,6,1,3]=>010101010 [[1,3],[2,7],[4,8],[5,9],[6,10]]=>[6,10,5,9,4,8,2,7,1,3]=>010101010 [[1,4],[2,5],[3,6],[7,8],[9,10]]=>[9,10,7,8,3,6,2,5,1,4]=>010101010 [[1,4],[2,5],[3,6],[7,9],[8,10]]=>[8,10,7,9,3,6,2,5,1,4]=>010101010 [[1,4],[2,5],[3,7],[6,8],[9,10]]=>[9,10,6,8,3,7,2,5,1,4]=>010101010 [[1,4],[2,5],[3,7],[6,9],[8,10]]=>[8,10,6,9,3,7,2,5,1,4]=>010101010 [[1,4],[2,5],[3,8],[6,9],[7,10]]=>[7,10,6,9,3,8,2,5,1,4]=>010101010 [[1,4],[2,6],[3,7],[5,8],[9,10]]=>[9,10,5,8,3,7,2,6,1,4]=>010101010 [[1,4],[2,6],[3,7],[5,9],[8,10]]=>[8,10,5,9,3,7,2,6,1,4]=>010101010 [[1,4],[2,6],[3,8],[5,9],[7,10]]=>[7,10,5,9,3,8,2,6,1,4]=>010101010 [[1,4],[2,7],[3,8],[5,9],[6,10]]=>[6,10,5,9,3,8,2,7,1,4]=>010101010 [[1,5],[2,6],[3,7],[4,8],[9,10]]=>[9,10,4,8,3,7,2,6,1,5]=>010101010 [[1,5],[2,6],[3,7],[4,9],[8,10]]=>[8,10,4,9,3,7,2,6,1,5]=>010101010 [[1,5],[2,6],[3,8],[4,9],[7,10]]=>[7,10,4,9,3,8,2,6,1,5]=>010101010 [[1,5],[2,7],[3,8],[4,9],[6,10]]=>[6,10,4,9,3,8,2,7,1,5]=>010101010 [[1,2],[3,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,3,4,1,2]=>01010101010 [[1,2],[3,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,3,4,1,2]=>01010101010 [[1,2],[3,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,3,5,1,2]=>01010101010 [[1,2],[3,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,3,5,1,2]=>01010101010 [[1,2],[3,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,3,6,1,2]=>01010101010 [[1,2],[3,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,3,6,1,2]=>01010101010 [[1,2],[3,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,3,7,1,2]=>01010101010 [[1,2],[3,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,3,7,1,2]=>01010101010 [[1,2],[3,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,3,7,1,2]=>01010101010 [[1,2],[3,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,3,7,1,2]=>01010101010 [[1,2],[3,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,3,8,1,2]=>01010101010 [[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,5,6,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,5,6,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,5,6,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,5,6,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,5,6,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,5,7,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,5,7,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,5,7,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,5,7,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,5,7,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,5,8,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,5,8,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,5,8,2,4,1,3]=>01010101010 [[1,3],[2,4],[5,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,5,9,2,4,1,3]=>01010101010 [[1,3],[2,5],[4,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,4,6,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,4,6,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,4,6,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,4,6,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,4,6,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,4,7,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,4,7,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,4,7,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,4,7,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,4,7,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,4,8,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,4,8,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,4,8,2,5,1,3]=>01010101010 [[1,3],[2,5],[4,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,4,9,2,5,1,3]=>01010101010 [[1,3],[2,6],[4,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,4,7,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,4,7,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,4,7,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,4,7,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,4,7,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,4,8,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,4,8,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,4,8,2,6,1,3]=>01010101010 [[1,3],[2,6],[4,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,4,9,2,6,1,3]=>01010101010 [[1,3],[2,7],[4,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,4,8,2,7,1,3]=>01010101010 [[1,3],[2,7],[4,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,4,8,2,7,1,3]=>01010101010 [[1,3],[2,7],[4,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,4,8,2,7,1,3]=>01010101010 [[1,3],[2,7],[4,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,4,9,2,7,1,3]=>01010101010 [[1,3],[2,8],[4,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,4,9,2,8,1,3]=>01010101010 [[1,4],[2,5],[3,6],[7,8],[9,10],[11,12]]=>[11,12,9,10,7,8,3,6,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,6],[7,8],[9,11],[10,12]]=>[10,12,9,11,7,8,3,6,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,6],[7,9],[8,10],[11,12]]=>[11,12,8,10,7,9,3,6,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,6],[7,9],[8,11],[10,12]]=>[10,12,8,11,7,9,3,6,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,6],[7,10],[8,11],[9,12]]=>[9,12,8,11,7,10,3,6,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,7],[6,8],[9,10],[11,12]]=>[11,12,9,10,6,8,3,7,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,7],[6,8],[9,11],[10,12]]=>[10,12,9,11,6,8,3,7,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,7],[6,9],[8,10],[11,12]]=>[11,12,8,10,6,9,3,7,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,7],[6,9],[8,11],[10,12]]=>[10,12,8,11,6,9,3,7,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,7],[6,10],[8,11],[9,12]]=>[9,12,8,11,6,10,3,7,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,8],[6,9],[7,10],[11,12]]=>[11,12,7,10,6,9,3,8,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,8],[6,9],[7,11],[10,12]]=>[10,12,7,11,6,9,3,8,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,8],[6,10],[7,11],[9,12]]=>[9,12,7,11,6,10,3,8,2,5,1,4]=>01010101010 [[1,4],[2,5],[3,9],[6,10],[7,11],[8,12]]=>[8,12,7,11,6,10,3,9,2,5,1,4]=>01010101010 [[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>[11,12,9,10,5,8,3,7,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,7],[5,8],[9,11],[10,12]]=>[10,12,9,11,5,8,3,7,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,7],[5,9],[8,10],[11,12]]=>[11,12,8,10,5,9,3,7,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,7],[5,9],[8,11],[10,12]]=>[10,12,8,11,5,9,3,7,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,7],[5,10],[8,11],[9,12]]=>[9,12,8,11,5,10,3,7,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,8],[5,9],[7,10],[11,12]]=>[11,12,7,10,5,9,3,8,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,8],[5,9],[7,11],[10,12]]=>[10,12,7,11,5,9,3,8,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,8],[5,10],[7,11],[9,12]]=>[9,12,7,11,5,10,3,8,2,6,1,4]=>01010101010 [[1,4],[2,6],[3,9],[5,10],[7,11],[8,12]]=>[8,12,7,11,5,10,3,9,2,6,1,4]=>01010101010 [[1,4],[2,7],[3,8],[5,9],[6,10],[11,12]]=>[11,12,6,10,5,9,3,8,2,7,1,4]=>01010101010 [[1,4],[2,7],[3,8],[5,9],[6,11],[10,12]]=>[10,12,6,11,5,9,3,8,2,7,1,4]=>01010101010 [[1,4],[2,7],[3,8],[5,10],[6,11],[9,12]]=>[9,12,6,11,5,10,3,8,2,7,1,4]=>01010101010 [[1,4],[2,7],[3,9],[5,10],[6,11],[8,12]]=>[8,12,6,11,5,10,3,9,2,7,1,4]=>01010101010 [[1,4],[2,8],[3,9],[5,10],[6,11],[7,12]]=>[7,12,6,11,5,10,3,9,2,8,1,4]=>01010101010 [[1,5],[2,6],[3,7],[4,8],[9,10],[11,12]]=>[11,12,9,10,4,8,3,7,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,7],[4,8],[9,11],[10,12]]=>[10,12,9,11,4,8,3,7,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,7],[4,9],[8,10],[11,12]]=>[11,12,8,10,4,9,3,7,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,7],[4,9],[8,11],[10,12]]=>[10,12,8,11,4,9,3,7,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,7],[4,10],[8,11],[9,12]]=>[9,12,8,11,4,10,3,7,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,8],[4,9],[7,10],[11,12]]=>[11,12,7,10,4,9,3,8,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,8],[4,9],[7,11],[10,12]]=>[10,12,7,11,4,9,3,8,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,8],[4,10],[7,11],[9,12]]=>[9,12,7,11,4,10,3,8,2,6,1,5]=>01010101010 [[1,5],[2,6],[3,9],[4,10],[7,11],[8,12]]=>[8,12,7,11,4,10,3,9,2,6,1,5]=>01010101010 [[1,5],[2,7],[3,8],[4,9],[6,10],[11,12]]=>[11,12,6,10,4,9,3,8,2,7,1,5]=>01010101010 [[1,5],[2,7],[3,8],[4,9],[6,11],[10,12]]=>[10,12,6,11,4,9,3,8,2,7,1,5]=>01010101010 [[1,5],[2,7],[3,8],[4,10],[6,11],[9,12]]=>[9,12,6,11,4,10,3,8,2,7,1,5]=>01010101010 [[1,5],[2,7],[3,9],[4,10],[6,11],[8,12]]=>[8,12,6,11,4,10,3,9,2,7,1,5]=>01010101010 [[1,5],[2,8],[3,9],[4,10],[6,11],[7,12]]=>[7,12,6,11,4,10,3,9,2,8,1,5]=>01010101010 [[1,6],[2,7],[3,8],[4,9],[5,10],[11,12]]=>[11,12,5,10,4,9,3,8,2,7,1,6]=>01010101010 [[1,6],[2,7],[3,8],[4,9],[5,11],[10,12]]=>[10,12,5,11,4,9,3,8,2,7,1,6]=>01010101010 [[1,6],[2,7],[3,8],[4,10],[5,11],[9,12]]=>[9,12,5,11,4,10,3,8,2,7,1,6]=>01010101010 [[1,6],[2,7],[3,9],[4,10],[5,11],[8,12]]=>[8,12,5,11,4,10,3,9,2,7,1,6]=>01010101010 [[1,6],[2,8],[3,9],[4,10],[5,11],[7,12]]=>[7,12,5,11,4,10,3,9,2,8,1,6]=>01010101010 [[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>[6,12,5,11,4,10,3,9,2,8,1,7]=>01010101010 [[1,2,3,4,5,6,7,9],[8]]=>[8,1,2,3,4,5,6,7,9]=>10000000 [[1,2,3,4,5,6,9],[7,8]]=>[7,8,1,2,3,4,5,6,9]=>01000000 [[1,2,3,4,5,9],[6,7,8]]=>[6,7,8,1,2,3,4,5,9]=>00100000 [[1,2,3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,1,2,3,9]=>11111000 [[1,2,9],[3],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,1,2,9]=>11111100 [[1,2,3,4,5,6,7,8,10],[9]]=>[9,1,2,3,4,5,6,7,8,10]=>100000000 [[1,2,3,4,5,6,7,10],[8,9]]=>[8,9,1,2,3,4,5,6,7,10]=>010000000 [[1,2,3,4,5,10],[6,7,8,9]]=>[6,7,8,9,1,2,3,4,5,10]=>000100000 [[1,2,3,4,5,10],[6],[7],[8],[9]]=>[9,8,7,6,1,2,3,4,5,10]=>111100000 [[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,3,1,2,10]=>111111100 [[1,2,4,5,6,7,8,9],[3]]=>[3,1,2,4,5,6,7,8,9]=>10000000 [[1,2,4,7,8,9],[3,5],[6]]=>[6,3,5,1,2,4,7,8,9]=>10100000 [[1,7,9],[2],[3],[4],[5],[6],[8]]=>[8,6,5,4,3,2,1,7,9]=>11111100 [[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8]=>11111110 [[1,2,4,5,6,7,8,9,10],[3]]=>[3,1,2,4,5,6,7,8,9,10]=>100000000 [[1,2,4,7,8,9,10],[3,5],[6]]=>[6,3,5,1,2,4,7,8,9,10]=>101000000 [[1,8,10],[2],[3],[4],[5],[6],[7],[9]]=>[9,7,6,5,4,3,2,1,8,10]=>111111100 [[1,3],[2,5],[4,7],[6,9],[8],[10]]=>[10,8,6,9,4,7,2,5,1,3]=>110101010 [[1,9],[2],[3],[4],[5],[6],[7],[8],[10]]=>[10,8,7,6,5,4,3,2,1,9]=>111111110 [[1,3,4,5,6,7,8],[2,9]]=>[2,9,1,3,4,5,6,7,8]=>01000000 [[1,3,4,5,6,7,8],[2],[9]]=>[9,2,1,3,4,5,6,7,8]=>11000000 [[1,3,4,5,6,7],[2,8,9]]=>[2,8,9,1,3,4,5,6,7]=>00100000 [[1,3,4,5,6],[2,7,8,9]]=>[2,7,8,9,1,3,4,5,6]=>00010000 [[1,3,4],[2],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,2,1,3,4]=>11111100 [[1,3],[2,5],[4,7],[6],[8],[9]]=>[9,8,6,4,7,2,5,1,3]=>11101010 [[1,3],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3]=>11111110 [[1,3,4,5,6,7,8,9],[2,10]]=>[2,10,1,3,4,5,6,7,8,9]=>010000000 [[1,3,4,5,6,7,8,9],[2],[10]]=>[10,2,1,3,4,5,6,7,8,9]=>110000000 [[1,3,4,5,6,7,8],[2,9,10]]=>[2,9,10,1,3,4,5,6,7,8]=>001000000 [[1,3,4,5,6,7],[2,8,9,10]]=>[2,8,9,10,1,3,4,5,6,7]=>000100000 [[1,3,4,5,6],[2,8,9,10],[7]]=>[7,2,8,9,10,1,3,4,5,6]=>100010000 [[1,3,4,5],[2,7,8],[6,10],[9]]=>[9,6,10,2,7,8,1,3,4,5]=>101001000 [[1,3],[2],[4],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,4,2,1,3]=>111111110 [[1,2,4,6,8,10],[3,5,7,9]]=>[3,5,7,9,1,2,4,6,8,10]=>000100000 [[1,2,3,5,6,7,8,9,10],[4]]=>[4,1,2,3,5,6,7,8,9,10]=>100000000 [[1,2,3,4,6,7,8,9,10],[5]]=>[5,1,2,3,4,6,7,8,9,10]=>100000000 [[1,2,3,4,5,6,7,9,10],[8]]=>[8,1,2,3,4,5,6,7,9,10]=>100000000 [[1,2,3,4,5,6,8,9,10],[7]]=>[7,1,2,3,4,5,6,8,9,10]=>100000000 [[1,2,3,4,5,7,8,9,10],[6]]=>[6,1,2,3,4,5,7,8,9,10]=>100000000 [[1,2,4,5,6,7,8,9,10,11,12],[3]]=>[3,1,2,4,5,6,7,8,9,10,11,12]=>10000000000 [[1,2,5,6,7,8],[3,4],[9]]=>[9,3,4,1,2,5,6,7,8]=>10100000 [[1,6,7,8],[2],[3],[4],[5],[9]]=>[9,5,4,3,2,1,6,7,8]=>11111000 [[1,3,8],[2,5],[4,7],[6,9]]=>[6,9,4,7,2,5,1,3,8]=>01010100 [[1,7,8],[2],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,1,7,8]=>11111100 [[1,2,5,6,7,8,9],[3,4],[10]]=>[10,3,4,1,2,5,6,7,8,9]=>101000000 [[1,2,5,9],[3,4,8],[6,7],[10]]=>[10,6,7,3,4,8,1,2,5,9]=>101001000 [[1,2,9],[3,4],[5,6],[7,8],[10]]=>[10,7,8,5,6,3,4,1,2,9]=>101010100 [[1,8,9],[2],[3],[4],[5],[6],[7],[10]]=>[10,7,6,5,4,3,2,1,8,9]=>111111100 [[1,2,5,6,7,8,9],[3],[4]]=>[4,3,1,2,5,6,7,8,9]=>11000000 [[1,2,6,7,8,9],[3],[4],[5]]=>[5,4,3,1,2,6,7,8,9]=>11100000 [[1,2,7,8,9],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8,9]=>11110000 [[1,2,5,6,7,8,9,10],[3],[4]]=>[4,3,1,2,5,6,7,8,9,10]=>110000000 [[1,2,7,8,9,10],[3],[4],[5],[6]]=>[6,5,4,3,1,2,7,8,9,10]=>111100000 [[1,2,8,9,10],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,1,2,8,9,10]=>111110000 [[1,2,4,7],[3,6,10],[5,9],[8]]=>[8,5,9,3,6,10,1,2,4,7]=>101001000 [[1,2,6,7],[3,9],[4],[5],[8]]=>[8,5,4,3,9,1,2,6,7]=>11101000 [[1,2,4,5,6,7,8,9],[3],[10]]=>[10,3,1,2,4,5,6,7,8,9]=>110000000 [[1,2,7,8],[3,10],[4],[5],[6],[9]]=>[9,6,5,4,3,10,1,2,7,8]=>111101000 [[1,7,11],[2,8,12],[3,9],[4,10],[5],[6]]=>[6,5,4,10,3,9,2,8,12,1,7,11]=>11010100100 [[1,5,9,11],[2,6,10,12],[3,7],[4,8]]=>[4,8,3,7,2,6,10,12,1,5,9,11]=>01010001000 [[1,4],[2],[3],[5],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,5,3,2,1,4]=>111111110 [[1,5],[2],[3],[4],[6],[7],[8],[9],[10]]=>[10,9,8,7,6,4,3,2,1,5]=>111111110 [[1,8],[2],[3],[4],[5],[6],[7],[9],[10]]=>[10,9,7,6,5,4,3,2,1,8]=>111111110 [[1,7],[2],[3],[4],[5],[6],[8],[9],[10]]=>[10,9,8,6,5,4,3,2,1,7]=>111111110 [[1,6],[2],[3],[4],[5],[7],[8],[9],[10]]=>[10,9,8,7,5,4,3,2,1,6]=>111111110 [[1,3],[2],[4],[5],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,5,4,2,1,3]=>11111111110 [[1,5],[2],[3],[4],[6],[7],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,7,6,4,3,2,1,5]=>11111111110 [[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10],[12]]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>11111111110 [[1,9],[2],[3],[4],[5],[6],[7],[8],[10],[11],[12]]=>[12,11,10,8,7,6,5,4,3,2,1,9]=>11111111110 [[1,7],[2],[3],[4],[5],[6],[8],[9],[10],[11],[12]]=>[12,11,10,9,8,6,5,4,3,2,1,7]=>11111111110 [[1,2],[3,5],[4],[6],[7],[8],[9]]=>[9,8,7,6,4,3,5,1,2]=>11111010 [[1,2,4],[3],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,3,1,2,4]=>11111100 [[1,2,3,5],[4],[6],[7],[8],[9]]=>[9,8,7,6,4,1,2,3,5]=>11111000 [[1,2],[3,4],[5,6],[7,9],[8]]=>[8,7,9,5,6,3,4,1,2]=>10101010 [[1,2,3,4,6],[5],[7],[8],[9]]=>[9,8,7,5,1,2,3,4,6]=>11110000 [[1,2,3,4,5,7],[6],[8],[9]]=>[9,8,6,1,2,3,4,5,7]=>11100000 [[1,2,3,4,5,6,8],[7],[9]]=>[9,7,1,2,3,4,5,6,8]=>11000000 [[1,2,3,4,5,7,9],[6,8]]=>[6,8,1,2,3,4,5,7,9]=>01000000 [[1,3,10],[2],[4],[5],[6],[7],[8],[9]]=>[9,8,7,6,5,4,2,1,3,10]=>111111100 [[1,5,8],[2,7],[3,9],[4],[6]]=>[6,4,3,9,2,7,1,5,8]=>11010100 [[1,3,5,7,9],[2,6,8],[4]]=>[4,2,6,8,1,3,5,7,9]=>10010000 [[1,6,9],[2,8],[3,10],[4],[5],[7]]=>[7,5,4,3,10,2,8,1,6,9]=>111010100 [[1,3,5,7,9],[2,6,8,10],[4]]=>[4,2,6,8,10,1,3,5,7,9]=>100010000 [[1,3,7],[2,4,8],[5,9],[6,10],[11],[12]]=>[12,11,6,10,5,9,2,4,8,1,3,7]=>11010100100 [[1,7],[2,8],[3],[4],[5],[6],[9]]=>[9,6,5,4,3,2,8,1,7]=>11111010 [[1,2,4,5,6,7,8],[3,9]]=>[3,9,1,2,4,5,6,7,8]=>01000000 [[1,2],[3,9],[4],[5],[6],[7],[8]]=>[8,7,6,5,4,3,9,1,2]=>11111010 [[1,2,3,4,5,6],[7,9],[8]]=>[8,7,9,1,2,3,4,5,6]=>10100000 [[1,2,3,4,5,7],[6,8,9]]=>[6,8,9,1,2,3,4,5,7]=>00100000 [[1,3,5,9],[2,4,6,10],[7,11],[8,12]]=>[8,12,7,11,2,4,6,10,1,3,5,9]=>01010001000 [[1,3,4,5,6,7,9],[2,8]]=>[2,8,1,3,4,5,6,7,9]=>01000000 [[1,2,3,4,6],[5,7,8,9]]=>[5,7,8,9,1,2,3,4,6]=>00010000 [[1,5,7,9,11],[2,6,8,10,12],[3],[4]]=>[4,3,2,6,8,10,12,1,5,7,9,11]=>11000010000 [[1,3,4,5,6,7,8,10],[2],[9]]=>[9,2,1,3,4,5,6,7,8,10]=>110000000 [[1,3,6,7],[2,5,10],[4,9],[8]]=>[8,4,9,2,5,10,1,3,6,7]=>101001000 [[1,3,6,7],[2,5,9,10],[4],[8]]=>[8,4,2,5,9,10,1,3,6,7]=>110001000 [[1,3,4,5,6,7],[2,9,10,11,12],[8]]=>[8,2,9,10,11,12,1,3,4,5,6,7]=>10000100000 [[1,4,5,6,7,8],[2,9],[3]]=>[3,2,9,1,4,5,6,7,8]=>10100000 [[1,2,5,6,7],[3,4,8],[9]]=>[9,3,4,8,1,2,5,6,7]=>10010000 [[1,7,8],[2,9],[3],[4],[5],[6]]=>[6,5,4,3,2,9,1,7,8]=>11110100 [[1,8,9],[2,10],[3],[4],[5],[6],[7]]=>[7,6,5,4,3,2,10,1,8,9]=>111110100