=>

[[1,2]]=>[1,2]=>1 [[2,2]]=>[1,2]=>1 [[1],[2]]=>[2,1]=>0 [[1,3]]=>[1,2]=>1 [[2,3]]=>[1,2]=>1 [[3,3]]=>[1,2]=>1 [[1],[3]]=>[2,1]=>0 [[2],[3]]=>[2,1]=>0 [[1,1,2]]=>[1,2,3]=>11 [[1,2,2]]=>[1,2,3]=>11 [[2,2,2]]=>[1,2,3]=>11 [[1,1],[2]]=>[3,1,2]=>00 [[1,2],[2]]=>[2,1,3]=>01 [[1,4]]=>[1,2]=>1 [[2,4]]=>[1,2]=>1 [[3,4]]=>[1,2]=>1 [[4,4]]=>[1,2]=>1 [[1],[4]]=>[2,1]=>0 [[2],[4]]=>[2,1]=>0 [[3],[4]]=>[2,1]=>0 [[1,1,3]]=>[1,2,3]=>11 [[1,2,3]]=>[1,2,3]=>11 [[1,3,3]]=>[1,2,3]=>11 [[2,2,3]]=>[1,2,3]=>11 [[2,3,3]]=>[1,2,3]=>11 [[3,3,3]]=>[1,2,3]=>11 [[1,1],[3]]=>[3,1,2]=>00 [[1,2],[3]]=>[3,1,2]=>00 [[1,3],[2]]=>[2,1,3]=>01 [[1,3],[3]]=>[2,1,3]=>01 [[2,2],[3]]=>[3,1,2]=>00 [[2,3],[3]]=>[2,1,3]=>01 [[1],[2],[3]]=>[3,2,1]=>00 [[1,1,1,2]]=>[1,2,3,4]=>111 [[1,1,2,2]]=>[1,2,3,4]=>111 [[1,2,2,2]]=>[1,2,3,4]=>111 [[2,2,2,2]]=>[1,2,3,4]=>111 [[1,1,1],[2]]=>[4,1,2,3]=>000 [[1,1,2],[2]]=>[3,1,2,4]=>001 [[1,2,2],[2]]=>[2,1,3,4]=>011 [[1,1],[2,2]]=>[3,4,1,2]=>000 [[1,5]]=>[1,2]=>1 [[2,5]]=>[1,2]=>1 [[3,5]]=>[1,2]=>1 [[4,5]]=>[1,2]=>1 [[5,5]]=>[1,2]=>1 [[1],[5]]=>[2,1]=>0 [[2],[5]]=>[2,1]=>0 [[3],[5]]=>[2,1]=>0 [[4],[5]]=>[2,1]=>0 [[1,1,4]]=>[1,2,3]=>11 [[1,2,4]]=>[1,2,3]=>11 [[1,3,4]]=>[1,2,3]=>11 [[1,4,4]]=>[1,2,3]=>11 [[2,2,4]]=>[1,2,3]=>11 [[2,3,4]]=>[1,2,3]=>11 [[2,4,4]]=>[1,2,3]=>11 [[3,3,4]]=>[1,2,3]=>11 [[3,4,4]]=>[1,2,3]=>11 [[4,4,4]]=>[1,2,3]=>11 [[1,1],[4]]=>[3,1,2]=>00 [[1,2],[4]]=>[3,1,2]=>00 [[1,4],[2]]=>[2,1,3]=>01 [[1,3],[4]]=>[3,1,2]=>00 [[1,4],[3]]=>[2,1,3]=>01 [[1,4],[4]]=>[2,1,3]=>01 [[2,2],[4]]=>[3,1,2]=>00 [[2,3],[4]]=>[3,1,2]=>00 [[2,4],[3]]=>[2,1,3]=>01 [[2,4],[4]]=>[2,1,3]=>01 [[3,3],[4]]=>[3,1,2]=>00 [[3,4],[4]]=>[2,1,3]=>01 [[1],[2],[4]]=>[3,2,1]=>00 [[1],[3],[4]]=>[3,2,1]=>00 [[2],[3],[4]]=>[3,2,1]=>00 [[1,1,1,3]]=>[1,2,3,4]=>111 [[1,1,2,3]]=>[1,2,3,4]=>111 [[1,1,3,3]]=>[1,2,3,4]=>111 [[1,2,2,3]]=>[1,2,3,4]=>111 [[1,2,3,3]]=>[1,2,3,4]=>111 [[1,3,3,3]]=>[1,2,3,4]=>111 [[2,2,2,3]]=>[1,2,3,4]=>111 [[2,2,3,3]]=>[1,2,3,4]=>111 [[2,3,3,3]]=>[1,2,3,4]=>111 [[3,3,3,3]]=>[1,2,3,4]=>111 [[1,1,1],[3]]=>[4,1,2,3]=>000 [[1,1,2],[3]]=>[4,1,2,3]=>000 [[1,1,3],[2]]=>[3,1,2,4]=>001 [[1,1,3],[3]]=>[3,1,2,4]=>001 [[1,2,2],[3]]=>[4,1,2,3]=>000 [[1,2,3],[2]]=>[2,1,3,4]=>011 [[1,2,3],[3]]=>[3,1,2,4]=>001 [[1,3,3],[2]]=>[2,1,3,4]=>011 [[1,3,3],[3]]=>[2,1,3,4]=>011 [[2,2,2],[3]]=>[4,1,2,3]=>000 [[2,2,3],[3]]=>[3,1,2,4]=>001 [[2,3,3],[3]]=>[2,1,3,4]=>011 [[1,1],[2,3]]=>[3,4,1,2]=>000 [[1,1],[3,3]]=>[3,4,1,2]=>000 [[1,2],[2,3]]=>[2,4,1,3]=>000 [[1,2],[3,3]]=>[3,4,1,2]=>000 [[2,2],[3,3]]=>[3,4,1,2]=>000 [[1,1],[2],[3]]=>[4,3,1,2]=>000 [[1,2],[2],[3]]=>[4,2,1,3]=>000 [[1,3],[2],[3]]=>[3,2,1,4]=>001 [[1,1,1,1,2]]=>[1,2,3,4,5]=>1111 [[1,1,1,2,2]]=>[1,2,3,4,5]=>1111 [[1,1,2,2,2]]=>[1,2,3,4,5]=>1111 [[1,2,2,2,2]]=>[1,2,3,4,5]=>1111 [[2,2,2,2,2]]=>[1,2,3,4,5]=>1111 [[1,1,1,1],[2]]=>[5,1,2,3,4]=>0000 [[1,1,1,2],[2]]=>[4,1,2,3,5]=>0001 [[1,1,2,2],[2]]=>[3,1,2,4,5]=>0011 [[1,2,2,2],[2]]=>[2,1,3,4,5]=>0111 [[1,1,1],[2,2]]=>[4,5,1,2,3]=>0000 [[1,1,2],[2,2]]=>[3,4,1,2,5]=>0001 [[1,6]]=>[1,2]=>1 [[2,6]]=>[1,2]=>1 [[3,6]]=>[1,2]=>1 [[4,6]]=>[1,2]=>1 [[5,6]]=>[1,2]=>1 [[6,6]]=>[1,2]=>1 [[1],[6]]=>[2,1]=>0 [[2],[6]]=>[2,1]=>0 [[3],[6]]=>[2,1]=>0 [[4],[6]]=>[2,1]=>0 [[5],[6]]=>[2,1]=>0 [[1,1,5]]=>[1,2,3]=>11 [[1,2,5]]=>[1,2,3]=>11 [[1,3,5]]=>[1,2,3]=>11 [[1,4,5]]=>[1,2,3]=>11 [[1,5,5]]=>[1,2,3]=>11 [[2,2,5]]=>[1,2,3]=>11 [[2,3,5]]=>[1,2,3]=>11 [[2,4,5]]=>[1,2,3]=>11 [[2,5,5]]=>[1,2,3]=>11 [[3,3,5]]=>[1,2,3]=>11 [[3,4,5]]=>[1,2,3]=>11 [[3,5,5]]=>[1,2,3]=>11 [[4,4,5]]=>[1,2,3]=>11 [[4,5,5]]=>[1,2,3]=>11 [[5,5,5]]=>[1,2,3]=>11 [[1,1],[5]]=>[3,1,2]=>00 [[1,2],[5]]=>[3,1,2]=>00 [[1,5],[2]]=>[2,1,3]=>01 [[1,3],[5]]=>[3,1,2]=>00 [[1,5],[3]]=>[2,1,3]=>01 [[1,4],[5]]=>[3,1,2]=>00 [[1,5],[4]]=>[2,1,3]=>01 [[1,5],[5]]=>[2,1,3]=>01 [[2,2],[5]]=>[3,1,2]=>00 [[2,3],[5]]=>[3,1,2]=>00 [[2,5],[3]]=>[2,1,3]=>01 [[2,4],[5]]=>[3,1,2]=>00 [[2,5],[4]]=>[2,1,3]=>01 [[2,5],[5]]=>[2,1,3]=>01 [[3,3],[5]]=>[3,1,2]=>00 [[3,4],[5]]=>[3,1,2]=>00 [[3,5],[4]]=>[2,1,3]=>01 [[3,5],[5]]=>[2,1,3]=>01 [[4,4],[5]]=>[3,1,2]=>00 [[4,5],[5]]=>[2,1,3]=>01 [[1],[2],[5]]=>[3,2,1]=>00 [[1],[3],[5]]=>[3,2,1]=>00 [[1],[4],[5]]=>[3,2,1]=>00 [[2],[3],[5]]=>[3,2,1]=>00 [[2],[4],[5]]=>[3,2,1]=>00 [[3],[4],[5]]=>[3,2,1]=>00 [[1,1,1,4]]=>[1,2,3,4]=>111 [[1,1,2,4]]=>[1,2,3,4]=>111 [[1,1,3,4]]=>[1,2,3,4]=>111 [[1,1,4,4]]=>[1,2,3,4]=>111 [[1,2,2,4]]=>[1,2,3,4]=>111 [[1,2,3,4]]=>[1,2,3,4]=>111 [[1,2,4,4]]=>[1,2,3,4]=>111 [[1,3,3,4]]=>[1,2,3,4]=>111 [[1,3,4,4]]=>[1,2,3,4]=>111 [[1,4,4,4]]=>[1,2,3,4]=>111 [[2,2,2,4]]=>[1,2,3,4]=>111 [[2,2,3,4]]=>[1,2,3,4]=>111 [[2,2,4,4]]=>[1,2,3,4]=>111 [[2,3,3,4]]=>[1,2,3,4]=>111 [[2,3,4,4]]=>[1,2,3,4]=>111 [[2,4,4,4]]=>[1,2,3,4]=>111 [[3,3,3,4]]=>[1,2,3,4]=>111 [[3,3,4,4]]=>[1,2,3,4]=>111 [[3,4,4,4]]=>[1,2,3,4]=>111 [[4,4,4,4]]=>[1,2,3,4]=>111 [[1,1,1],[4]]=>[4,1,2,3]=>000 [[1,1,2],[4]]=>[4,1,2,3]=>000 [[1,1,4],[2]]=>[3,1,2,4]=>001 [[1,1,3],[4]]=>[4,1,2,3]=>000 [[1,1,4],[3]]=>[3,1,2,4]=>001 [[1,1,4],[4]]=>[3,1,2,4]=>001 [[1,2,2],[4]]=>[4,1,2,3]=>000 [[1,2,4],[2]]=>[2,1,3,4]=>011 [[1,2,3],[4]]=>[4,1,2,3]=>000 [[1,2,4],[3]]=>[3,1,2,4]=>001 [[1,3,4],[2]]=>[2,1,3,4]=>011 [[1,2,4],[4]]=>[3,1,2,4]=>001 [[1,4,4],[2]]=>[2,1,3,4]=>011 [[1,3,3],[4]]=>[4,1,2,3]=>000 [[1,3,4],[3]]=>[2,1,3,4]=>011 [[1,3,4],[4]]=>[3,1,2,4]=>001 [[1,4,4],[3]]=>[2,1,3,4]=>011 [[1,4,4],[4]]=>[2,1,3,4]=>011 [[2,2,2],[4]]=>[4,1,2,3]=>000 [[2,2,3],[4]]=>[4,1,2,3]=>000 [[2,2,4],[3]]=>[3,1,2,4]=>001 [[2,2,4],[4]]=>[3,1,2,4]=>001 [[2,3,3],[4]]=>[4,1,2,3]=>000 [[2,3,4],[3]]=>[2,1,3,4]=>011 [[2,3,4],[4]]=>[3,1,2,4]=>001 [[2,4,4],[3]]=>[2,1,3,4]=>011 [[2,4,4],[4]]=>[2,1,3,4]=>011 [[3,3,3],[4]]=>[4,1,2,3]=>000 [[3,3,4],[4]]=>[3,1,2,4]=>001 [[3,4,4],[4]]=>[2,1,3,4]=>011 [[1,1],[2,4]]=>[3,4,1,2]=>000 [[1,1],[3,4]]=>[3,4,1,2]=>000 [[1,1],[4,4]]=>[3,4,1,2]=>000 [[1,2],[2,4]]=>[2,4,1,3]=>000 [[1,2],[3,4]]=>[3,4,1,2]=>000 [[1,3],[2,4]]=>[2,4,1,3]=>000 [[1,2],[4,4]]=>[3,4,1,2]=>000 [[1,3],[3,4]]=>[2,4,1,3]=>000 [[1,3],[4,4]]=>[3,4,1,2]=>000 [[2,2],[3,4]]=>[3,4,1,2]=>000 [[2,2],[4,4]]=>[3,4,1,2]=>000 [[2,3],[3,4]]=>[2,4,1,3]=>000 [[2,3],[4,4]]=>[3,4,1,2]=>000 [[3,3],[4,4]]=>[3,4,1,2]=>000 [[1,1],[2],[4]]=>[4,3,1,2]=>000 [[1,1],[3],[4]]=>[4,3,1,2]=>000 [[1,2],[2],[4]]=>[4,2,1,3]=>000 [[1,2],[3],[4]]=>[4,3,1,2]=>000 [[1,3],[2],[4]]=>[4,2,1,3]=>000 [[1,4],[2],[3]]=>[3,2,1,4]=>001 [[1,4],[2],[4]]=>[3,2,1,4]=>001 [[1,3],[3],[4]]=>[4,2,1,3]=>000 [[1,4],[3],[4]]=>[3,2,1,4]=>001 [[2,2],[3],[4]]=>[4,3,1,2]=>000 [[2,3],[3],[4]]=>[4,2,1,3]=>000 [[2,4],[3],[4]]=>[3,2,1,4]=>001 [[1],[2],[3],[4]]=>[4,3,2,1]=>000 [[1,1,1,1,3]]=>[1,2,3,4,5]=>1111 [[1,1,1,2,3]]=>[1,2,3,4,5]=>1111 [[1,1,1,3,3]]=>[1,2,3,4,5]=>1111 [[1,1,2,2,3]]=>[1,2,3,4,5]=>1111 [[1,1,2,3,3]]=>[1,2,3,4,5]=>1111 [[1,1,3,3,3]]=>[1,2,3,4,5]=>1111 [[1,2,2,2,3]]=>[1,2,3,4,5]=>1111 [[1,2,2,3,3]]=>[1,2,3,4,5]=>1111 [[1,2,3,3,3]]=>[1,2,3,4,5]=>1111 [[1,3,3,3,3]]=>[1,2,3,4,5]=>1111 [[2,2,2,2,3]]=>[1,2,3,4,5]=>1111 [[2,2,2,3,3]]=>[1,2,3,4,5]=>1111 [[2,2,3,3,3]]=>[1,2,3,4,5]=>1111 [[2,3,3,3,3]]=>[1,2,3,4,5]=>1111 [[3,3,3,3,3]]=>[1,2,3,4,5]=>1111 [[1,1,1,1],[3]]=>[5,1,2,3,4]=>0000 [[1,1,1,2],[3]]=>[5,1,2,3,4]=>0000 [[1,1,1,3],[2]]=>[4,1,2,3,5]=>0001 [[1,1,1,3],[3]]=>[4,1,2,3,5]=>0001 [[1,1,2,2],[3]]=>[5,1,2,3,4]=>0000 [[1,1,2,3],[2]]=>[3,1,2,4,5]=>0011 [[1,1,2,3],[3]]=>[4,1,2,3,5]=>0001 [[1,1,3,3],[2]]=>[3,1,2,4,5]=>0011 [[1,1,3,3],[3]]=>[3,1,2,4,5]=>0011 [[1,2,2,2],[3]]=>[5,1,2,3,4]=>0000 [[1,2,2,3],[2]]=>[2,1,3,4,5]=>0111 [[1,2,2,3],[3]]=>[4,1,2,3,5]=>0001 [[1,2,3,3],[2]]=>[2,1,3,4,5]=>0111 [[1,2,3,3],[3]]=>[3,1,2,4,5]=>0011 [[1,3,3,3],[2]]=>[2,1,3,4,5]=>0111 [[1,3,3,3],[3]]=>[2,1,3,4,5]=>0111 [[2,2,2,2],[3]]=>[5,1,2,3,4]=>0000 [[2,2,2,3],[3]]=>[4,1,2,3,5]=>0001 [[2,2,3,3],[3]]=>[3,1,2,4,5]=>0011 [[2,3,3,3],[3]]=>[2,1,3,4,5]=>0111 [[1,1,1],[2,3]]=>[4,5,1,2,3]=>0000 [[1,1,1],[3,3]]=>[4,5,1,2,3]=>0000 [[1,1,2],[2,3]]=>[3,5,1,2,4]=>0000 [[1,1,3],[2,2]]=>[3,4,1,2,5]=>0001 [[1,1,2],[3,3]]=>[4,5,1,2,3]=>0000 [[1,1,3],[2,3]]=>[3,4,1,2,5]=>0001 [[1,1,3],[3,3]]=>[3,4,1,2,5]=>0001 [[1,2,2],[2,3]]=>[2,5,1,3,4]=>0000 [[1,2,2],[3,3]]=>[4,5,1,2,3]=>0000 [[1,2,3],[2,3]]=>[2,4,1,3,5]=>0001 [[1,2,3],[3,3]]=>[3,4,1,2,5]=>0001 [[2,2,2],[3,3]]=>[4,5,1,2,3]=>0000 [[2,2,3],[3,3]]=>[3,4,1,2,5]=>0001 [[1,1,1],[2],[3]]=>[5,4,1,2,3]=>0000 [[1,1,2],[2],[3]]=>[5,3,1,2,4]=>0000 [[1,1,3],[2],[3]]=>[4,3,1,2,5]=>0001 [[1,2,2],[2],[3]]=>[5,2,1,3,4]=>0000 [[1,2,3],[2],[3]]=>[4,2,1,3,5]=>0001 [[1,3,3],[2],[3]]=>[3,2,1,4,5]=>0011 [[1,1],[2,2],[3]]=>[5,3,4,1,2]=>0000 [[1,1],[2,3],[3]]=>[4,3,5,1,2]=>0000 [[1,2],[2,3],[3]]=>[4,2,5,1,3]=>0000 [[1,1,1,1,1,2]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,2,2]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,2,2,2]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,2,2,2]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,2,2,2]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,2,2,2]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,1],[2]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,1,2],[2]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,2,2],[2]]=>[4,1,2,3,5,6]=>00011 [[1,1,2,2,2],[2]]=>[3,1,2,4,5,6]=>00111 [[1,2,2,2,2],[2]]=>[2,1,3,4,5,6]=>01111 [[1,1,1,1],[2,2]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,2],[2,2]]=>[4,5,1,2,3,6]=>00001 [[1,1,2,2],[2,2]]=>[3,4,1,2,5,6]=>00011 [[1,1,1],[2,2,2]]=>[4,5,6,1,2,3]=>00000 [[1,7]]=>[1,2]=>1 [[2,7]]=>[1,2]=>1 [[3,7]]=>[1,2]=>1 [[4,7]]=>[1,2]=>1 [[5,7]]=>[1,2]=>1 [[6,7]]=>[1,2]=>1 [[7,7]]=>[1,2]=>1 [[1],[7]]=>[2,1]=>0 [[2],[7]]=>[2,1]=>0 [[3],[7]]=>[2,1]=>0 [[4],[7]]=>[2,1]=>0 [[5],[7]]=>[2,1]=>0 [[6],[7]]=>[2,1]=>0 [[1,1,6]]=>[1,2,3]=>11 [[1,2,6]]=>[1,2,3]=>11 [[1,3,6]]=>[1,2,3]=>11 [[1,4,6]]=>[1,2,3]=>11 [[1,5,6]]=>[1,2,3]=>11 [[1,6,6]]=>[1,2,3]=>11 [[2,2,6]]=>[1,2,3]=>11 [[2,3,6]]=>[1,2,3]=>11 [[2,4,6]]=>[1,2,3]=>11 [[2,5,6]]=>[1,2,3]=>11 [[2,6,6]]=>[1,2,3]=>11 [[3,3,6]]=>[1,2,3]=>11 [[3,4,6]]=>[1,2,3]=>11 [[3,5,6]]=>[1,2,3]=>11 [[3,6,6]]=>[1,2,3]=>11 [[4,4,6]]=>[1,2,3]=>11 [[4,5,6]]=>[1,2,3]=>11 [[4,6,6]]=>[1,2,3]=>11 [[5,5,6]]=>[1,2,3]=>11 [[5,6,6]]=>[1,2,3]=>11 [[6,6,6]]=>[1,2,3]=>11 [[1,1],[6]]=>[3,1,2]=>00 [[1,2],[6]]=>[3,1,2]=>00 [[1,6],[2]]=>[2,1,3]=>01 [[1,3],[6]]=>[3,1,2]=>00 [[1,6],[3]]=>[2,1,3]=>01 [[1,4],[6]]=>[3,1,2]=>00 [[1,6],[4]]=>[2,1,3]=>01 [[1,5],[6]]=>[3,1,2]=>00 [[1,6],[5]]=>[2,1,3]=>01 [[1,6],[6]]=>[2,1,3]=>01 [[2,2],[6]]=>[3,1,2]=>00 [[2,3],[6]]=>[3,1,2]=>00 [[2,6],[3]]=>[2,1,3]=>01 [[2,4],[6]]=>[3,1,2]=>00 [[2,6],[4]]=>[2,1,3]=>01 [[2,5],[6]]=>[3,1,2]=>00 [[2,6],[5]]=>[2,1,3]=>01 [[2,6],[6]]=>[2,1,3]=>01 [[3,3],[6]]=>[3,1,2]=>00 [[3,4],[6]]=>[3,1,2]=>00 [[3,6],[4]]=>[2,1,3]=>01 [[3,5],[6]]=>[3,1,2]=>00 [[3,6],[5]]=>[2,1,3]=>01 [[3,6],[6]]=>[2,1,3]=>01 [[4,4],[6]]=>[3,1,2]=>00 [[4,5],[6]]=>[3,1,2]=>00 [[4,6],[5]]=>[2,1,3]=>01 [[4,6],[6]]=>[2,1,3]=>01 [[5,5],[6]]=>[3,1,2]=>00 [[5,6],[6]]=>[2,1,3]=>01 [[1],[2],[6]]=>[3,2,1]=>00 [[1],[3],[6]]=>[3,2,1]=>00 [[1],[4],[6]]=>[3,2,1]=>00 [[1],[5],[6]]=>[3,2,1]=>00 [[2],[3],[6]]=>[3,2,1]=>00 [[2],[4],[6]]=>[3,2,1]=>00 [[2],[5],[6]]=>[3,2,1]=>00 [[3],[4],[6]]=>[3,2,1]=>00 [[3],[5],[6]]=>[3,2,1]=>00 [[4],[5],[6]]=>[3,2,1]=>00 [[1,1,1,5]]=>[1,2,3,4]=>111 [[1,1,2,5]]=>[1,2,3,4]=>111 [[1,1,3,5]]=>[1,2,3,4]=>111 [[1,1,4,5]]=>[1,2,3,4]=>111 [[1,1,5,5]]=>[1,2,3,4]=>111 [[1,2,2,5]]=>[1,2,3,4]=>111 [[1,2,3,5]]=>[1,2,3,4]=>111 [[1,2,4,5]]=>[1,2,3,4]=>111 [[1,2,5,5]]=>[1,2,3,4]=>111 [[1,3,3,5]]=>[1,2,3,4]=>111 [[1,3,4,5]]=>[1,2,3,4]=>111 [[1,3,5,5]]=>[1,2,3,4]=>111 [[1,4,4,5]]=>[1,2,3,4]=>111 [[1,4,5,5]]=>[1,2,3,4]=>111 [[1,5,5,5]]=>[1,2,3,4]=>111 [[2,2,2,5]]=>[1,2,3,4]=>111 [[2,2,3,5]]=>[1,2,3,4]=>111 [[2,2,4,5]]=>[1,2,3,4]=>111 [[2,2,5,5]]=>[1,2,3,4]=>111 [[2,3,3,5]]=>[1,2,3,4]=>111 [[2,3,4,5]]=>[1,2,3,4]=>111 [[2,3,5,5]]=>[1,2,3,4]=>111 [[2,4,4,5]]=>[1,2,3,4]=>111 [[2,4,5,5]]=>[1,2,3,4]=>111 [[2,5,5,5]]=>[1,2,3,4]=>111 [[3,3,3,5]]=>[1,2,3,4]=>111 [[3,3,4,5]]=>[1,2,3,4]=>111 [[3,3,5,5]]=>[1,2,3,4]=>111 [[3,4,4,5]]=>[1,2,3,4]=>111 [[3,4,5,5]]=>[1,2,3,4]=>111 [[3,5,5,5]]=>[1,2,3,4]=>111 [[4,4,4,5]]=>[1,2,3,4]=>111 [[4,4,5,5]]=>[1,2,3,4]=>111 [[4,5,5,5]]=>[1,2,3,4]=>111 [[5,5,5,5]]=>[1,2,3,4]=>111 [[1,1,1],[5]]=>[4,1,2,3]=>000 [[1,1,2],[5]]=>[4,1,2,3]=>000 [[1,1,5],[2]]=>[3,1,2,4]=>001 [[1,1,3],[5]]=>[4,1,2,3]=>000 [[1,1,5],[3]]=>[3,1,2,4]=>001 [[1,1,4],[5]]=>[4,1,2,3]=>000 [[1,1,5],[4]]=>[3,1,2,4]=>001 [[1,1,5],[5]]=>[3,1,2,4]=>001 [[1,2,2],[5]]=>[4,1,2,3]=>000 [[1,2,5],[2]]=>[2,1,3,4]=>011 [[1,2,3],[5]]=>[4,1,2,3]=>000 [[1,2,5],[3]]=>[3,1,2,4]=>001 [[1,3,5],[2]]=>[2,1,3,4]=>011 [[1,2,4],[5]]=>[4,1,2,3]=>000 [[1,2,5],[4]]=>[3,1,2,4]=>001 [[1,4,5],[2]]=>[2,1,3,4]=>011 [[1,2,5],[5]]=>[3,1,2,4]=>001 [[1,5,5],[2]]=>[2,1,3,4]=>011 [[1,3,3],[5]]=>[4,1,2,3]=>000 [[1,3,5],[3]]=>[2,1,3,4]=>011 [[1,3,4],[5]]=>[4,1,2,3]=>000 [[1,3,5],[4]]=>[3,1,2,4]=>001 [[1,4,5],[3]]=>[2,1,3,4]=>011 [[1,3,5],[5]]=>[3,1,2,4]=>001 [[1,5,5],[3]]=>[2,1,3,4]=>011 [[1,4,4],[5]]=>[4,1,2,3]=>000 [[1,4,5],[4]]=>[2,1,3,4]=>011 [[1,4,5],[5]]=>[3,1,2,4]=>001 [[1,5,5],[4]]=>[2,1,3,4]=>011 [[1,5,5],[5]]=>[2,1,3,4]=>011 [[2,2,2],[5]]=>[4,1,2,3]=>000 [[2,2,3],[5]]=>[4,1,2,3]=>000 [[2,2,5],[3]]=>[3,1,2,4]=>001 [[2,2,4],[5]]=>[4,1,2,3]=>000 [[2,2,5],[4]]=>[3,1,2,4]=>001 [[2,2,5],[5]]=>[3,1,2,4]=>001 [[2,3,3],[5]]=>[4,1,2,3]=>000 [[2,3,5],[3]]=>[2,1,3,4]=>011 [[2,3,4],[5]]=>[4,1,2,3]=>000 [[2,3,5],[4]]=>[3,1,2,4]=>001 [[2,4,5],[3]]=>[2,1,3,4]=>011 [[2,3,5],[5]]=>[3,1,2,4]=>001 [[2,5,5],[3]]=>[2,1,3,4]=>011 [[2,4,4],[5]]=>[4,1,2,3]=>000 [[2,4,5],[4]]=>[2,1,3,4]=>011 [[2,4,5],[5]]=>[3,1,2,4]=>001 [[2,5,5],[4]]=>[2,1,3,4]=>011 [[2,5,5],[5]]=>[2,1,3,4]=>011 [[3,3,3],[5]]=>[4,1,2,3]=>000 [[3,3,4],[5]]=>[4,1,2,3]=>000 [[3,3,5],[4]]=>[3,1,2,4]=>001 [[3,3,5],[5]]=>[3,1,2,4]=>001 [[3,4,4],[5]]=>[4,1,2,3]=>000 [[3,4,5],[4]]=>[2,1,3,4]=>011 [[3,4,5],[5]]=>[3,1,2,4]=>001 [[3,5,5],[4]]=>[2,1,3,4]=>011 [[3,5,5],[5]]=>[2,1,3,4]=>011 [[4,4,4],[5]]=>[4,1,2,3]=>000 [[4,4,5],[5]]=>[3,1,2,4]=>001 [[4,5,5],[5]]=>[2,1,3,4]=>011 [[1,1],[2,5]]=>[3,4,1,2]=>000 [[1,1],[3,5]]=>[3,4,1,2]=>000 [[1,1],[4,5]]=>[3,4,1,2]=>000 [[1,1],[5,5]]=>[3,4,1,2]=>000 [[1,2],[2,5]]=>[2,4,1,3]=>000 [[1,2],[3,5]]=>[3,4,1,2]=>000 [[1,3],[2,5]]=>[2,4,1,3]=>000 [[1,2],[4,5]]=>[3,4,1,2]=>000 [[1,4],[2,5]]=>[2,4,1,3]=>000 [[1,2],[5,5]]=>[3,4,1,2]=>000 [[1,3],[3,5]]=>[2,4,1,3]=>000 [[1,3],[4,5]]=>[3,4,1,2]=>000 [[1,4],[3,5]]=>[2,4,1,3]=>000 [[1,3],[5,5]]=>[3,4,1,2]=>000 [[1,4],[4,5]]=>[2,4,1,3]=>000 [[1,4],[5,5]]=>[3,4,1,2]=>000 [[2,2],[3,5]]=>[3,4,1,2]=>000 [[2,2],[4,5]]=>[3,4,1,2]=>000 [[2,2],[5,5]]=>[3,4,1,2]=>000 [[2,3],[3,5]]=>[2,4,1,3]=>000 [[2,3],[4,5]]=>[3,4,1,2]=>000 [[2,4],[3,5]]=>[2,4,1,3]=>000 [[2,3],[5,5]]=>[3,4,1,2]=>000 [[2,4],[4,5]]=>[2,4,1,3]=>000 [[2,4],[5,5]]=>[3,4,1,2]=>000 [[3,3],[4,5]]=>[3,4,1,2]=>000 [[3,3],[5,5]]=>[3,4,1,2]=>000 [[3,4],[4,5]]=>[2,4,1,3]=>000 [[3,4],[5,5]]=>[3,4,1,2]=>000 [[4,4],[5,5]]=>[3,4,1,2]=>000 [[1,1],[2],[5]]=>[4,3,1,2]=>000 [[1,1],[3],[5]]=>[4,3,1,2]=>000 [[1,1],[4],[5]]=>[4,3,1,2]=>000 [[1,2],[2],[5]]=>[4,2,1,3]=>000 [[1,2],[3],[5]]=>[4,3,1,2]=>000 [[1,3],[2],[5]]=>[4,2,1,3]=>000 [[1,5],[2],[3]]=>[3,2,1,4]=>001 [[1,2],[4],[5]]=>[4,3,1,2]=>000 [[1,4],[2],[5]]=>[4,2,1,3]=>000 [[1,5],[2],[4]]=>[3,2,1,4]=>001 [[1,5],[2],[5]]=>[3,2,1,4]=>001 [[1,3],[3],[5]]=>[4,2,1,3]=>000 [[1,3],[4],[5]]=>[4,3,1,2]=>000 [[1,4],[3],[5]]=>[4,2,1,3]=>000 [[1,5],[3],[4]]=>[3,2,1,4]=>001 [[1,5],[3],[5]]=>[3,2,1,4]=>001 [[1,4],[4],[5]]=>[4,2,1,3]=>000 [[1,5],[4],[5]]=>[3,2,1,4]=>001 [[2,2],[3],[5]]=>[4,3,1,2]=>000 [[2,2],[4],[5]]=>[4,3,1,2]=>000 [[2,3],[3],[5]]=>[4,2,1,3]=>000 [[2,3],[4],[5]]=>[4,3,1,2]=>000 [[2,4],[3],[5]]=>[4,2,1,3]=>000 [[2,5],[3],[4]]=>[3,2,1,4]=>001 [[2,5],[3],[5]]=>[3,2,1,4]=>001 [[2,4],[4],[5]]=>[4,2,1,3]=>000 [[2,5],[4],[5]]=>[3,2,1,4]=>001 [[3,3],[4],[5]]=>[4,3,1,2]=>000 [[3,4],[4],[5]]=>[4,2,1,3]=>000 [[3,5],[4],[5]]=>[3,2,1,4]=>001 [[1],[2],[3],[5]]=>[4,3,2,1]=>000 [[1],[2],[4],[5]]=>[4,3,2,1]=>000 [[1],[3],[4],[5]]=>[4,3,2,1]=>000 [[2],[3],[4],[5]]=>[4,3,2,1]=>000 [[1,1,1,1,4]]=>[1,2,3,4,5]=>1111 [[1,1,1,2,4]]=>[1,2,3,4,5]=>1111 [[1,1,1,3,4]]=>[1,2,3,4,5]=>1111 [[1,1,1,4,4]]=>[1,2,3,4,5]=>1111 [[1,1,2,2,4]]=>[1,2,3,4,5]=>1111 [[1,1,2,3,4]]=>[1,2,3,4,5]=>1111 [[1,1,2,4,4]]=>[1,2,3,4,5]=>1111 [[1,1,3,3,4]]=>[1,2,3,4,5]=>1111 [[1,1,3,4,4]]=>[1,2,3,4,5]=>1111 [[1,1,4,4,4]]=>[1,2,3,4,5]=>1111 [[1,2,2,2,4]]=>[1,2,3,4,5]=>1111 [[1,2,2,3,4]]=>[1,2,3,4,5]=>1111 [[1,2,2,4,4]]=>[1,2,3,4,5]=>1111 [[1,2,3,3,4]]=>[1,2,3,4,5]=>1111 [[1,2,3,4,4]]=>[1,2,3,4,5]=>1111 [[1,2,4,4,4]]=>[1,2,3,4,5]=>1111 [[1,3,3,3,4]]=>[1,2,3,4,5]=>1111 [[1,3,3,4,4]]=>[1,2,3,4,5]=>1111 [[1,3,4,4,4]]=>[1,2,3,4,5]=>1111 [[1,4,4,4,4]]=>[1,2,3,4,5]=>1111 [[2,2,2,2,4]]=>[1,2,3,4,5]=>1111 [[2,2,2,3,4]]=>[1,2,3,4,5]=>1111 [[2,2,2,4,4]]=>[1,2,3,4,5]=>1111 [[2,2,3,3,4]]=>[1,2,3,4,5]=>1111 [[2,2,3,4,4]]=>[1,2,3,4,5]=>1111 [[2,2,4,4,4]]=>[1,2,3,4,5]=>1111 [[2,3,3,3,4]]=>[1,2,3,4,5]=>1111 [[2,3,3,4,4]]=>[1,2,3,4,5]=>1111 [[2,3,4,4,4]]=>[1,2,3,4,5]=>1111 [[2,4,4,4,4]]=>[1,2,3,4,5]=>1111 [[3,3,3,3,4]]=>[1,2,3,4,5]=>1111 [[3,3,3,4,4]]=>[1,2,3,4,5]=>1111 [[3,3,4,4,4]]=>[1,2,3,4,5]=>1111 [[3,4,4,4,4]]=>[1,2,3,4,5]=>1111 [[4,4,4,4,4]]=>[1,2,3,4,5]=>1111 [[1,1,1,1],[4]]=>[5,1,2,3,4]=>0000 [[1,1,1,2],[4]]=>[5,1,2,3,4]=>0000 [[1,1,1,4],[2]]=>[4,1,2,3,5]=>0001 [[1,1,1,3],[4]]=>[5,1,2,3,4]=>0000 [[1,1,1,4],[3]]=>[4,1,2,3,5]=>0001 [[1,1,1,4],[4]]=>[4,1,2,3,5]=>0001 [[1,1,2,2],[4]]=>[5,1,2,3,4]=>0000 [[1,1,2,4],[2]]=>[3,1,2,4,5]=>0011 [[1,1,2,3],[4]]=>[5,1,2,3,4]=>0000 [[1,1,2,4],[3]]=>[4,1,2,3,5]=>0001 [[1,1,3,4],[2]]=>[3,1,2,4,5]=>0011 [[1,1,2,4],[4]]=>[4,1,2,3,5]=>0001 [[1,1,4,4],[2]]=>[3,1,2,4,5]=>0011 [[1,1,3,3],[4]]=>[5,1,2,3,4]=>0000 [[1,1,3,4],[3]]=>[3,1,2,4,5]=>0011 [[1,1,3,4],[4]]=>[4,1,2,3,5]=>0001 [[1,1,4,4],[3]]=>[3,1,2,4,5]=>0011 [[1,1,4,4],[4]]=>[3,1,2,4,5]=>0011 [[1,2,2,2],[4]]=>[5,1,2,3,4]=>0000 [[1,2,2,4],[2]]=>[2,1,3,4,5]=>0111 [[1,2,2,3],[4]]=>[5,1,2,3,4]=>0000 [[1,2,2,4],[3]]=>[4,1,2,3,5]=>0001 [[1,2,3,4],[2]]=>[2,1,3,4,5]=>0111 [[1,2,2,4],[4]]=>[4,1,2,3,5]=>0001 [[1,2,4,4],[2]]=>[2,1,3,4,5]=>0111 [[1,2,3,3],[4]]=>[5,1,2,3,4]=>0000 [[1,2,3,4],[3]]=>[3,1,2,4,5]=>0011 [[1,3,3,4],[2]]=>[2,1,3,4,5]=>0111 [[1,2,3,4],[4]]=>[4,1,2,3,5]=>0001 [[1,2,4,4],[3]]=>[3,1,2,4,5]=>0011 [[1,3,4,4],[2]]=>[2,1,3,4,5]=>0111 [[1,2,4,4],[4]]=>[3,1,2,4,5]=>0011 [[1,4,4,4],[2]]=>[2,1,3,4,5]=>0111 [[1,3,3,3],[4]]=>[5,1,2,3,4]=>0000 [[1,3,3,4],[3]]=>[2,1,3,4,5]=>0111 [[1,3,3,4],[4]]=>[4,1,2,3,5]=>0001 [[1,3,4,4],[3]]=>[2,1,3,4,5]=>0111 [[1,3,4,4],[4]]=>[3,1,2,4,5]=>0011 [[1,4,4,4],[3]]=>[2,1,3,4,5]=>0111 [[1,4,4,4],[4]]=>[2,1,3,4,5]=>0111 [[2,2,2,2],[4]]=>[5,1,2,3,4]=>0000 [[2,2,2,3],[4]]=>[5,1,2,3,4]=>0000 [[2,2,2,4],[3]]=>[4,1,2,3,5]=>0001 [[2,2,2,4],[4]]=>[4,1,2,3,5]=>0001 [[2,2,3,3],[4]]=>[5,1,2,3,4]=>0000 [[2,2,3,4],[3]]=>[3,1,2,4,5]=>0011 [[2,2,3,4],[4]]=>[4,1,2,3,5]=>0001 [[2,2,4,4],[3]]=>[3,1,2,4,5]=>0011 [[2,2,4,4],[4]]=>[3,1,2,4,5]=>0011 [[2,3,3,3],[4]]=>[5,1,2,3,4]=>0000 [[2,3,3,4],[3]]=>[2,1,3,4,5]=>0111 [[2,3,3,4],[4]]=>[4,1,2,3,5]=>0001 [[2,3,4,4],[3]]=>[2,1,3,4,5]=>0111 [[2,3,4,4],[4]]=>[3,1,2,4,5]=>0011 [[2,4,4,4],[3]]=>[2,1,3,4,5]=>0111 [[2,4,4,4],[4]]=>[2,1,3,4,5]=>0111 [[3,3,3,3],[4]]=>[5,1,2,3,4]=>0000 [[3,3,3,4],[4]]=>[4,1,2,3,5]=>0001 [[3,3,4,4],[4]]=>[3,1,2,4,5]=>0011 [[3,4,4,4],[4]]=>[2,1,3,4,5]=>0111 [[1,1,1],[2,4]]=>[4,5,1,2,3]=>0000 [[1,1,1],[3,4]]=>[4,5,1,2,3]=>0000 [[1,1,1],[4,4]]=>[4,5,1,2,3]=>0000 [[1,1,2],[2,4]]=>[3,5,1,2,4]=>0000 [[1,1,4],[2,2]]=>[3,4,1,2,5]=>0001 [[1,1,2],[3,4]]=>[4,5,1,2,3]=>0000 [[1,1,3],[2,4]]=>[3,5,1,2,4]=>0000 [[1,1,4],[2,3]]=>[3,4,1,2,5]=>0001 [[1,1,2],[4,4]]=>[4,5,1,2,3]=>0000 [[1,1,4],[2,4]]=>[3,4,1,2,5]=>0001 [[1,1,3],[3,4]]=>[3,5,1,2,4]=>0000 [[1,1,4],[3,3]]=>[3,4,1,2,5]=>0001 [[1,1,3],[4,4]]=>[4,5,1,2,3]=>0000 [[1,1,4],[3,4]]=>[3,4,1,2,5]=>0001 [[1,1,4],[4,4]]=>[3,4,1,2,5]=>0001 [[1,2,2],[2,4]]=>[2,5,1,3,4]=>0000 [[1,2,2],[3,4]]=>[4,5,1,2,3]=>0000 [[1,2,3],[2,4]]=>[2,5,1,3,4]=>0000 [[1,2,4],[2,3]]=>[2,4,1,3,5]=>0001 [[1,2,2],[4,4]]=>[4,5,1,2,3]=>0000 [[1,2,4],[2,4]]=>[2,4,1,3,5]=>0001 [[1,2,3],[3,4]]=>[3,5,1,2,4]=>0000 [[1,2,4],[3,3]]=>[3,4,1,2,5]=>0001 [[1,3,3],[2,4]]=>[2,5,1,3,4]=>0000 [[1,2,3],[4,4]]=>[4,5,1,2,3]=>0000 [[1,2,4],[3,4]]=>[3,4,1,2,5]=>0001 [[1,3,4],[2,4]]=>[2,4,1,3,5]=>0001 [[1,2,4],[4,4]]=>[3,4,1,2,5]=>0001 [[1,3,3],[3,4]]=>[2,5,1,3,4]=>0000 [[1,3,3],[4,4]]=>[4,5,1,2,3]=>0000 [[1,3,4],[3,4]]=>[2,4,1,3,5]=>0001 [[1,3,4],[4,4]]=>[3,4,1,2,5]=>0001 [[2,2,2],[3,4]]=>[4,5,1,2,3]=>0000 [[2,2,2],[4,4]]=>[4,5,1,2,3]=>0000 [[2,2,3],[3,4]]=>[3,5,1,2,4]=>0000 [[2,2,4],[3,3]]=>[3,4,1,2,5]=>0001 [[2,2,3],[4,4]]=>[4,5,1,2,3]=>0000 [[2,2,4],[3,4]]=>[3,4,1,2,5]=>0001 [[2,2,4],[4,4]]=>[3,4,1,2,5]=>0001 [[2,3,3],[3,4]]=>[2,5,1,3,4]=>0000 [[2,3,3],[4,4]]=>[4,5,1,2,3]=>0000 [[2,3,4],[3,4]]=>[2,4,1,3,5]=>0001 [[2,3,4],[4,4]]=>[3,4,1,2,5]=>0001 [[3,3,3],[4,4]]=>[4,5,1,2,3]=>0000 [[3,3,4],[4,4]]=>[3,4,1,2,5]=>0001 [[1,1,1],[2],[4]]=>[5,4,1,2,3]=>0000 [[1,1,1],[3],[4]]=>[5,4,1,2,3]=>0000 [[1,1,2],[2],[4]]=>[5,3,1,2,4]=>0000 [[1,1,2],[3],[4]]=>[5,4,1,2,3]=>0000 [[1,1,3],[2],[4]]=>[5,3,1,2,4]=>0000 [[1,1,4],[2],[3]]=>[4,3,1,2,5]=>0001 [[1,1,4],[2],[4]]=>[4,3,1,2,5]=>0001 [[1,1,3],[3],[4]]=>[5,3,1,2,4]=>0000 [[1,1,4],[3],[4]]=>[4,3,1,2,5]=>0001 [[1,2,2],[2],[4]]=>[5,2,1,3,4]=>0000 [[1,2,2],[3],[4]]=>[5,4,1,2,3]=>0000 [[1,2,3],[2],[4]]=>[5,2,1,3,4]=>0000 [[1,2,4],[2],[3]]=>[4,2,1,3,5]=>0001 [[1,2,4],[2],[4]]=>[4,2,1,3,5]=>0001 [[1,2,3],[3],[4]]=>[5,3,1,2,4]=>0000 [[1,3,3],[2],[4]]=>[5,2,1,3,4]=>0000 [[1,3,4],[2],[3]]=>[3,2,1,4,5]=>0011 [[1,2,4],[3],[4]]=>[4,3,1,2,5]=>0001 [[1,3,4],[2],[4]]=>[4,2,1,3,5]=>0001 [[1,4,4],[2],[3]]=>[3,2,1,4,5]=>0011 [[1,4,4],[2],[4]]=>[3,2,1,4,5]=>0011 [[1,3,3],[3],[4]]=>[5,2,1,3,4]=>0000 [[1,3,4],[3],[4]]=>[4,2,1,3,5]=>0001 [[1,4,4],[3],[4]]=>[3,2,1,4,5]=>0011 [[2,2,2],[3],[4]]=>[5,4,1,2,3]=>0000 [[2,2,3],[3],[4]]=>[5,3,1,2,4]=>0000 [[2,2,4],[3],[4]]=>[4,3,1,2,5]=>0001 [[2,3,3],[3],[4]]=>[5,2,1,3,4]=>0000 [[2,3,4],[3],[4]]=>[4,2,1,3,5]=>0001 [[2,4,4],[3],[4]]=>[3,2,1,4,5]=>0011 [[1,1],[2,2],[4]]=>[5,3,4,1,2]=>0000 [[1,1],[2,3],[4]]=>[5,3,4,1,2]=>0000 [[1,1],[2,4],[3]]=>[4,3,5,1,2]=>0000 [[1,1],[2,4],[4]]=>[4,3,5,1,2]=>0000 [[1,1],[3,3],[4]]=>[5,3,4,1,2]=>0000 [[1,1],[3,4],[4]]=>[4,3,5,1,2]=>0000 [[1,2],[2,3],[4]]=>[5,2,4,1,3]=>0000 [[1,2],[2,4],[3]]=>[4,2,5,1,3]=>0000 [[1,2],[2,4],[4]]=>[4,2,5,1,3]=>0000 [[1,2],[3,3],[4]]=>[5,3,4,1,2]=>0000 [[1,3],[2,4],[3]]=>[3,2,5,1,4]=>0000 [[1,2],[3,4],[4]]=>[4,3,5,1,2]=>0000 [[1,3],[2,4],[4]]=>[4,2,5,1,3]=>0000 [[1,3],[3,4],[4]]=>[4,2,5,1,3]=>0000 [[2,2],[3,3],[4]]=>[5,3,4,1,2]=>0000 [[2,2],[3,4],[4]]=>[4,3,5,1,2]=>0000 [[2,3],[3,4],[4]]=>[4,2,5,1,3]=>0000 [[1,1],[2],[3],[4]]=>[5,4,3,1,2]=>0000 [[1,2],[2],[3],[4]]=>[5,4,2,1,3]=>0000 [[1,3],[2],[3],[4]]=>[5,3,2,1,4]=>0000 [[1,4],[2],[3],[4]]=>[4,3,2,1,5]=>0001 [[1,1,1,1,1,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,2,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,2,2,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,2,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,2,2,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,2,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,3,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,2,2,3]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,2,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,2,3,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,3,3,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,2,2,3]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,2,3,3]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[2,2,3,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[2,3,3,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[3,3,3,3,3,3]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,1],[3]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,1,2],[3]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,1,3],[2]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,1,3],[3]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,2,2],[3]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,2,3],[2]]=>[4,1,2,3,5,6]=>00011 [[1,1,1,2,3],[3]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,3,3],[2]]=>[4,1,2,3,5,6]=>00011 [[1,1,1,3,3],[3]]=>[4,1,2,3,5,6]=>00011 [[1,1,2,2,2],[3]]=>[6,1,2,3,4,5]=>00000 [[1,1,2,2,3],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,2,2,3],[3]]=>[5,1,2,3,4,6]=>00001 [[1,1,2,3,3],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,2,3,3],[3]]=>[4,1,2,3,5,6]=>00011 [[1,1,3,3,3],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,3,3,3],[3]]=>[3,1,2,4,5,6]=>00111 [[1,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>00000 [[1,2,2,2,3],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>00001 [[1,2,2,3,3],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>00011 [[1,2,3,3,3],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>00111 [[1,3,3,3,3],[2]]=>[2,1,3,4,5,6]=>01111 [[1,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>01111 [[2,2,2,2,2],[3]]=>[6,1,2,3,4,5]=>00000 [[2,2,2,2,3],[3]]=>[5,1,2,3,4,6]=>00001 [[2,2,2,3,3],[3]]=>[4,1,2,3,5,6]=>00011 [[2,2,3,3,3],[3]]=>[3,1,2,4,5,6]=>00111 [[2,3,3,3,3],[3]]=>[2,1,3,4,5,6]=>01111 [[1,1,1,1],[2,3]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,1],[3,3]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,2],[2,3]]=>[4,6,1,2,3,5]=>00000 [[1,1,1,3],[2,2]]=>[4,5,1,2,3,6]=>00001 [[1,1,1,2],[3,3]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,3],[2,3]]=>[4,5,1,2,3,6]=>00001 [[1,1,1,3],[3,3]]=>[4,5,1,2,3,6]=>00001 [[1,1,2,2],[2,3]]=>[3,6,1,2,4,5]=>00000 [[1,1,2,3],[2,2]]=>[3,4,1,2,5,6]=>00011 [[1,1,2,2],[3,3]]=>[5,6,1,2,3,4]=>00000 [[1,1,2,3],[2,3]]=>[3,5,1,2,4,6]=>00001 [[1,1,3,3],[2,2]]=>[3,4,1,2,5,6]=>00011 [[1,1,2,3],[3,3]]=>[4,5,1,2,3,6]=>00001 [[1,1,3,3],[2,3]]=>[3,4,1,2,5,6]=>00011 [[1,1,3,3],[3,3]]=>[3,4,1,2,5,6]=>00011 [[1,2,2,2],[2,3]]=>[2,6,1,3,4,5]=>00000 [[1,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>00000 [[1,2,2,3],[2,3]]=>[2,5,1,3,4,6]=>00001 [[1,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>00001 [[1,2,3,3],[2,3]]=>[2,4,1,3,5,6]=>00011 [[1,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>00011 [[2,2,2,2],[3,3]]=>[5,6,1,2,3,4]=>00000 [[2,2,2,3],[3,3]]=>[4,5,1,2,3,6]=>00001 [[2,2,3,3],[3,3]]=>[3,4,1,2,5,6]=>00011 [[1,1,1,1],[2],[3]]=>[6,5,1,2,3,4]=>00000 [[1,1,1,2],[2],[3]]=>[6,4,1,2,3,5]=>00000 [[1,1,1,3],[2],[3]]=>[5,4,1,2,3,6]=>00001 [[1,1,2,2],[2],[3]]=>[6,3,1,2,4,5]=>00000 [[1,1,2,3],[2],[3]]=>[5,3,1,2,4,6]=>00001 [[1,1,3,3],[2],[3]]=>[4,3,1,2,5,6]=>00011 [[1,2,2,2],[2],[3]]=>[6,2,1,3,4,5]=>00000 [[1,2,2,3],[2],[3]]=>[5,2,1,3,4,6]=>00001 [[1,2,3,3],[2],[3]]=>[4,2,1,3,5,6]=>00011 [[1,3,3,3],[2],[3]]=>[3,2,1,4,5,6]=>00111 [[1,1,1],[2,2,3]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[2,3,3]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[3,3,3]]=>[4,5,6,1,2,3]=>00000 [[1,1,2],[2,2,3]]=>[3,4,6,1,2,5]=>00000 [[1,1,2],[2,3,3]]=>[3,5,6,1,2,4]=>00000 [[1,1,2],[3,3,3]]=>[4,5,6,1,2,3]=>00000 [[1,2,2],[2,3,3]]=>[2,5,6,1,3,4]=>00000 [[1,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>00000 [[2,2,2],[3,3,3]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[2,2],[3]]=>[6,4,5,1,2,3]=>00000 [[1,1,1],[2,3],[3]]=>[5,4,6,1,2,3]=>00000 [[1,1,2],[2,2],[3]]=>[6,3,4,1,2,5]=>00000 [[1,1,2],[2,3],[3]]=>[5,3,6,1,2,4]=>00000 [[1,1,3],[2,2],[3]]=>[5,3,4,1,2,6]=>00001 [[1,1,3],[2,3],[3]]=>[4,3,5,1,2,6]=>00001 [[1,2,2],[2,3],[3]]=>[5,2,6,1,3,4]=>00000 [[1,2,3],[2,3],[3]]=>[4,2,5,1,3,6]=>00001 [[1,1],[2,2],[3,3]]=>[5,6,3,4,1,2]=>00000 [[1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>111111 [[1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>111111 [[2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,1,1],[2]]=>[7,1,2,3,4,5,6]=>000000 [[1,1,1,1,1,2],[2]]=>[6,1,2,3,4,5,7]=>000001 [[1,1,1,1,2,2],[2]]=>[5,1,2,3,4,6,7]=>000011 [[1,1,1,2,2,2],[2]]=>[4,1,2,3,5,6,7]=>000111 [[1,1,2,2,2,2],[2]]=>[3,1,2,4,5,6,7]=>001111 [[1,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7]=>011111 [[1,1,1,1,1],[2,2]]=>[6,7,1,2,3,4,5]=>000000 [[1,1,1,1,2],[2,2]]=>[5,6,1,2,3,4,7]=>000001 [[1,1,1,2,2],[2,2]]=>[4,5,1,2,3,6,7]=>000011 [[1,1,2,2,2],[2,2]]=>[3,4,1,2,5,6,7]=>000111 [[1,1,1,1],[2,2,2]]=>[5,6,7,1,2,3,4]=>000000 [[1,1,1,2],[2,2,2]]=>[4,5,6,1,2,3,7]=>000001 [[1,8]]=>[1,2]=>1 [[2,8]]=>[1,2]=>1 [[3,8]]=>[1,2]=>1 [[4,8]]=>[1,2]=>1 [[5,8]]=>[1,2]=>1 [[6,8]]=>[1,2]=>1 [[7,8]]=>[1,2]=>1 [[8,8]]=>[1,2]=>1 [[1],[8]]=>[2,1]=>0 [[2],[8]]=>[2,1]=>0 [[3],[8]]=>[2,1]=>0 [[4],[8]]=>[2,1]=>0 [[5],[8]]=>[2,1]=>0 [[6],[8]]=>[2,1]=>0 [[7],[8]]=>[2,1]=>0 [[1,1,7]]=>[1,2,3]=>11 [[1,2,7]]=>[1,2,3]=>11 [[1,3,7]]=>[1,2,3]=>11 [[1,4,7]]=>[1,2,3]=>11 [[1,5,7]]=>[1,2,3]=>11 [[1,6,7]]=>[1,2,3]=>11 [[1,7,7]]=>[1,2,3]=>11 [[2,2,7]]=>[1,2,3]=>11 [[2,3,7]]=>[1,2,3]=>11 [[2,4,7]]=>[1,2,3]=>11 [[2,5,7]]=>[1,2,3]=>11 [[2,6,7]]=>[1,2,3]=>11 [[2,7,7]]=>[1,2,3]=>11 [[3,3,7]]=>[1,2,3]=>11 [[3,4,7]]=>[1,2,3]=>11 [[3,5,7]]=>[1,2,3]=>11 [[3,6,7]]=>[1,2,3]=>11 [[3,7,7]]=>[1,2,3]=>11 [[4,4,7]]=>[1,2,3]=>11 [[4,5,7]]=>[1,2,3]=>11 [[4,6,7]]=>[1,2,3]=>11 [[4,7,7]]=>[1,2,3]=>11 [[5,5,7]]=>[1,2,3]=>11 [[5,6,7]]=>[1,2,3]=>11 [[5,7,7]]=>[1,2,3]=>11 [[6,6,7]]=>[1,2,3]=>11 [[6,7,7]]=>[1,2,3]=>11 [[7,7,7]]=>[1,2,3]=>11 [[1,1],[7]]=>[3,1,2]=>00 [[1,2],[7]]=>[3,1,2]=>00 [[1,7],[2]]=>[2,1,3]=>01 [[1,3],[7]]=>[3,1,2]=>00 [[1,7],[3]]=>[2,1,3]=>01 [[1,4],[7]]=>[3,1,2]=>00 [[1,7],[4]]=>[2,1,3]=>01 [[1,5],[7]]=>[3,1,2]=>00 [[1,7],[5]]=>[2,1,3]=>01 [[1,6],[7]]=>[3,1,2]=>00 [[1,7],[6]]=>[2,1,3]=>01 [[1,7],[7]]=>[2,1,3]=>01 [[2,2],[7]]=>[3,1,2]=>00 [[2,3],[7]]=>[3,1,2]=>00 [[2,7],[3]]=>[2,1,3]=>01 [[2,4],[7]]=>[3,1,2]=>00 [[2,7],[4]]=>[2,1,3]=>01 [[2,5],[7]]=>[3,1,2]=>00 [[2,7],[5]]=>[2,1,3]=>01 [[2,6],[7]]=>[3,1,2]=>00 [[2,7],[6]]=>[2,1,3]=>01 [[2,7],[7]]=>[2,1,3]=>01 [[3,3],[7]]=>[3,1,2]=>00 [[3,4],[7]]=>[3,1,2]=>00 [[3,7],[4]]=>[2,1,3]=>01 [[3,5],[7]]=>[3,1,2]=>00 [[3,7],[5]]=>[2,1,3]=>01 [[3,6],[7]]=>[3,1,2]=>00 [[3,7],[6]]=>[2,1,3]=>01 [[3,7],[7]]=>[2,1,3]=>01 [[4,4],[7]]=>[3,1,2]=>00 [[4,5],[7]]=>[3,1,2]=>00 [[4,7],[5]]=>[2,1,3]=>01 [[4,6],[7]]=>[3,1,2]=>00 [[4,7],[6]]=>[2,1,3]=>01 [[4,7],[7]]=>[2,1,3]=>01 [[5,5],[7]]=>[3,1,2]=>00 [[5,6],[7]]=>[3,1,2]=>00 [[5,7],[6]]=>[2,1,3]=>01 [[5,7],[7]]=>[2,1,3]=>01 [[6,6],[7]]=>[3,1,2]=>00 [[6,7],[7]]=>[2,1,3]=>01 [[1],[2],[7]]=>[3,2,1]=>00 [[1],[3],[7]]=>[3,2,1]=>00 [[1],[4],[7]]=>[3,2,1]=>00 [[1],[5],[7]]=>[3,2,1]=>00 [[1],[6],[7]]=>[3,2,1]=>00 [[2],[3],[7]]=>[3,2,1]=>00 [[2],[4],[7]]=>[3,2,1]=>00 [[2],[5],[7]]=>[3,2,1]=>00 [[2],[6],[7]]=>[3,2,1]=>00 [[3],[4],[7]]=>[3,2,1]=>00 [[3],[5],[7]]=>[3,2,1]=>00 [[3],[6],[7]]=>[3,2,1]=>00 [[4],[5],[7]]=>[3,2,1]=>00 [[4],[6],[7]]=>[3,2,1]=>00 [[5],[6],[7]]=>[3,2,1]=>00 [[1,1,1,6]]=>[1,2,3,4]=>111 [[1,1,2,6]]=>[1,2,3,4]=>111 [[1,1,3,6]]=>[1,2,3,4]=>111 [[1,1,4,6]]=>[1,2,3,4]=>111 [[1,1,5,6]]=>[1,2,3,4]=>111 [[1,1,6,6]]=>[1,2,3,4]=>111 [[1,2,2,6]]=>[1,2,3,4]=>111 [[1,2,3,6]]=>[1,2,3,4]=>111 [[1,2,4,6]]=>[1,2,3,4]=>111 [[1,2,5,6]]=>[1,2,3,4]=>111 [[1,2,6,6]]=>[1,2,3,4]=>111 [[1,3,3,6]]=>[1,2,3,4]=>111 [[1,3,4,6]]=>[1,2,3,4]=>111 [[1,3,5,6]]=>[1,2,3,4]=>111 [[1,3,6,6]]=>[1,2,3,4]=>111 [[1,4,4,6]]=>[1,2,3,4]=>111 [[1,4,5,6]]=>[1,2,3,4]=>111 [[1,4,6,6]]=>[1,2,3,4]=>111 [[1,5,5,6]]=>[1,2,3,4]=>111 [[1,5,6,6]]=>[1,2,3,4]=>111 [[1,6,6,6]]=>[1,2,3,4]=>111 [[2,2,2,6]]=>[1,2,3,4]=>111 [[2,2,3,6]]=>[1,2,3,4]=>111 [[2,2,4,6]]=>[1,2,3,4]=>111 [[2,2,5,6]]=>[1,2,3,4]=>111 [[2,2,6,6]]=>[1,2,3,4]=>111 [[2,3,3,6]]=>[1,2,3,4]=>111 [[2,3,4,6]]=>[1,2,3,4]=>111 [[2,3,5,6]]=>[1,2,3,4]=>111 [[2,3,6,6]]=>[1,2,3,4]=>111 [[2,4,4,6]]=>[1,2,3,4]=>111 [[2,4,5,6]]=>[1,2,3,4]=>111 [[2,4,6,6]]=>[1,2,3,4]=>111 [[2,5,5,6]]=>[1,2,3,4]=>111 [[2,5,6,6]]=>[1,2,3,4]=>111 [[2,6,6,6]]=>[1,2,3,4]=>111 [[3,3,3,6]]=>[1,2,3,4]=>111 [[3,3,4,6]]=>[1,2,3,4]=>111 [[3,3,5,6]]=>[1,2,3,4]=>111 [[3,3,6,6]]=>[1,2,3,4]=>111 [[3,4,4,6]]=>[1,2,3,4]=>111 [[3,4,5,6]]=>[1,2,3,4]=>111 [[3,4,6,6]]=>[1,2,3,4]=>111 [[3,5,5,6]]=>[1,2,3,4]=>111 [[3,5,6,6]]=>[1,2,3,4]=>111 [[3,6,6,6]]=>[1,2,3,4]=>111 [[4,4,4,6]]=>[1,2,3,4]=>111 [[4,4,5,6]]=>[1,2,3,4]=>111 [[4,4,6,6]]=>[1,2,3,4]=>111 [[4,5,5,6]]=>[1,2,3,4]=>111 [[4,5,6,6]]=>[1,2,3,4]=>111 [[4,6,6,6]]=>[1,2,3,4]=>111 [[5,5,5,6]]=>[1,2,3,4]=>111 [[5,5,6,6]]=>[1,2,3,4]=>111 [[5,6,6,6]]=>[1,2,3,4]=>111 [[6,6,6,6]]=>[1,2,3,4]=>111 [[1,1,1],[6]]=>[4,1,2,3]=>000 [[1,1,2],[6]]=>[4,1,2,3]=>000 [[1,1,6],[2]]=>[3,1,2,4]=>001 [[1,1,3],[6]]=>[4,1,2,3]=>000 [[1,1,6],[3]]=>[3,1,2,4]=>001 [[1,1,4],[6]]=>[4,1,2,3]=>000 [[1,1,6],[4]]=>[3,1,2,4]=>001 [[1,1,5],[6]]=>[4,1,2,3]=>000 [[1,1,6],[5]]=>[3,1,2,4]=>001 [[1,1,6],[6]]=>[3,1,2,4]=>001 [[1,2,2],[6]]=>[4,1,2,3]=>000 [[1,2,6],[2]]=>[2,1,3,4]=>011 [[1,2,3],[6]]=>[4,1,2,3]=>000 [[1,2,6],[3]]=>[3,1,2,4]=>001 [[1,3,6],[2]]=>[2,1,3,4]=>011 [[1,2,4],[6]]=>[4,1,2,3]=>000 [[1,2,6],[4]]=>[3,1,2,4]=>001 [[1,4,6],[2]]=>[2,1,3,4]=>011 [[1,2,5],[6]]=>[4,1,2,3]=>000 [[1,2,6],[5]]=>[3,1,2,4]=>001 [[1,5,6],[2]]=>[2,1,3,4]=>011 [[1,2,6],[6]]=>[3,1,2,4]=>001 [[1,6,6],[2]]=>[2,1,3,4]=>011 [[1,3,3],[6]]=>[4,1,2,3]=>000 [[1,3,6],[3]]=>[2,1,3,4]=>011 [[1,3,4],[6]]=>[4,1,2,3]=>000 [[1,3,6],[4]]=>[3,1,2,4]=>001 [[1,4,6],[3]]=>[2,1,3,4]=>011 [[1,3,5],[6]]=>[4,1,2,3]=>000 [[1,3,6],[5]]=>[3,1,2,4]=>001 [[1,5,6],[3]]=>[2,1,3,4]=>011 [[1,3,6],[6]]=>[3,1,2,4]=>001 [[1,6,6],[3]]=>[2,1,3,4]=>011 [[1,4,4],[6]]=>[4,1,2,3]=>000 [[1,4,6],[4]]=>[2,1,3,4]=>011 [[1,4,5],[6]]=>[4,1,2,3]=>000 [[1,4,6],[5]]=>[3,1,2,4]=>001 [[1,5,6],[4]]=>[2,1,3,4]=>011 [[1,4,6],[6]]=>[3,1,2,4]=>001 [[1,6,6],[4]]=>[2,1,3,4]=>011 [[1,5,5],[6]]=>[4,1,2,3]=>000 [[1,5,6],[5]]=>[2,1,3,4]=>011 [[1,5,6],[6]]=>[3,1,2,4]=>001 [[1,6,6],[5]]=>[2,1,3,4]=>011 [[1,6,6],[6]]=>[2,1,3,4]=>011 [[2,2,2],[6]]=>[4,1,2,3]=>000 [[2,2,3],[6]]=>[4,1,2,3]=>000 [[2,2,6],[3]]=>[3,1,2,4]=>001 [[2,2,4],[6]]=>[4,1,2,3]=>000 [[2,2,6],[4]]=>[3,1,2,4]=>001 [[2,2,5],[6]]=>[4,1,2,3]=>000 [[2,2,6],[5]]=>[3,1,2,4]=>001 [[2,2,6],[6]]=>[3,1,2,4]=>001 [[2,3,3],[6]]=>[4,1,2,3]=>000 [[2,3,6],[3]]=>[2,1,3,4]=>011 [[2,3,4],[6]]=>[4,1,2,3]=>000 [[2,3,6],[4]]=>[3,1,2,4]=>001 [[2,4,6],[3]]=>[2,1,3,4]=>011 [[2,3,5],[6]]=>[4,1,2,3]=>000 [[2,3,6],[5]]=>[3,1,2,4]=>001 [[2,5,6],[3]]=>[2,1,3,4]=>011 [[2,3,6],[6]]=>[3,1,2,4]=>001 [[2,6,6],[3]]=>[2,1,3,4]=>011 [[2,4,4],[6]]=>[4,1,2,3]=>000 [[2,4,6],[4]]=>[2,1,3,4]=>011 [[2,4,5],[6]]=>[4,1,2,3]=>000 [[2,4,6],[5]]=>[3,1,2,4]=>001 [[2,5,6],[4]]=>[2,1,3,4]=>011 [[2,4,6],[6]]=>[3,1,2,4]=>001 [[2,6,6],[4]]=>[2,1,3,4]=>011 [[2,5,5],[6]]=>[4,1,2,3]=>000 [[2,5,6],[5]]=>[2,1,3,4]=>011 [[2,5,6],[6]]=>[3,1,2,4]=>001 [[2,6,6],[5]]=>[2,1,3,4]=>011 [[2,6,6],[6]]=>[2,1,3,4]=>011 [[3,3,3],[6]]=>[4,1,2,3]=>000 [[3,3,4],[6]]=>[4,1,2,3]=>000 [[3,3,6],[4]]=>[3,1,2,4]=>001 [[3,3,5],[6]]=>[4,1,2,3]=>000 [[3,3,6],[5]]=>[3,1,2,4]=>001 [[3,3,6],[6]]=>[3,1,2,4]=>001 [[3,4,4],[6]]=>[4,1,2,3]=>000 [[3,4,6],[4]]=>[2,1,3,4]=>011 [[3,4,5],[6]]=>[4,1,2,3]=>000 [[3,4,6],[5]]=>[3,1,2,4]=>001 [[3,5,6],[4]]=>[2,1,3,4]=>011 [[3,4,6],[6]]=>[3,1,2,4]=>001 [[3,6,6],[4]]=>[2,1,3,4]=>011 [[3,5,5],[6]]=>[4,1,2,3]=>000 [[3,5,6],[5]]=>[2,1,3,4]=>011 [[3,5,6],[6]]=>[3,1,2,4]=>001 [[3,6,6],[5]]=>[2,1,3,4]=>011 [[3,6,6],[6]]=>[2,1,3,4]=>011 [[4,4,4],[6]]=>[4,1,2,3]=>000 [[4,4,5],[6]]=>[4,1,2,3]=>000 [[4,4,6],[5]]=>[3,1,2,4]=>001 [[4,4,6],[6]]=>[3,1,2,4]=>001 [[4,5,5],[6]]=>[4,1,2,3]=>000 [[4,5,6],[5]]=>[2,1,3,4]=>011 [[4,5,6],[6]]=>[3,1,2,4]=>001 [[4,6,6],[5]]=>[2,1,3,4]=>011 [[4,6,6],[6]]=>[2,1,3,4]=>011 [[5,5,5],[6]]=>[4,1,2,3]=>000 [[5,5,6],[6]]=>[3,1,2,4]=>001 [[5,6,6],[6]]=>[2,1,3,4]=>011 [[1,1],[2,6]]=>[3,4,1,2]=>000 [[1,1],[3,6]]=>[3,4,1,2]=>000 [[1,1],[4,6]]=>[3,4,1,2]=>000 [[1,1],[5,6]]=>[3,4,1,2]=>000 [[1,1],[6,6]]=>[3,4,1,2]=>000 [[1,2],[2,6]]=>[2,4,1,3]=>000 [[1,2],[3,6]]=>[3,4,1,2]=>000 [[1,3],[2,6]]=>[2,4,1,3]=>000 [[1,2],[4,6]]=>[3,4,1,2]=>000 [[1,4],[2,6]]=>[2,4,1,3]=>000 [[1,2],[5,6]]=>[3,4,1,2]=>000 [[1,5],[2,6]]=>[2,4,1,3]=>000 [[1,2],[6,6]]=>[3,4,1,2]=>000 [[1,3],[3,6]]=>[2,4,1,3]=>000 [[1,3],[4,6]]=>[3,4,1,2]=>000 [[1,4],[3,6]]=>[2,4,1,3]=>000 [[1,3],[5,6]]=>[3,4,1,2]=>000 [[1,5],[3,6]]=>[2,4,1,3]=>000 [[1,3],[6,6]]=>[3,4,1,2]=>000 [[1,4],[4,6]]=>[2,4,1,3]=>000 [[1,4],[5,6]]=>[3,4,1,2]=>000 [[1,5],[4,6]]=>[2,4,1,3]=>000 [[1,4],[6,6]]=>[3,4,1,2]=>000 [[1,5],[5,6]]=>[2,4,1,3]=>000 [[1,5],[6,6]]=>[3,4,1,2]=>000 [[2,2],[3,6]]=>[3,4,1,2]=>000 [[2,2],[4,6]]=>[3,4,1,2]=>000 [[2,2],[5,6]]=>[3,4,1,2]=>000 [[2,2],[6,6]]=>[3,4,1,2]=>000 [[2,3],[3,6]]=>[2,4,1,3]=>000 [[2,3],[4,6]]=>[3,4,1,2]=>000 [[2,4],[3,6]]=>[2,4,1,3]=>000 [[2,3],[5,6]]=>[3,4,1,2]=>000 [[2,5],[3,6]]=>[2,4,1,3]=>000 [[2,3],[6,6]]=>[3,4,1,2]=>000 [[2,4],[4,6]]=>[2,4,1,3]=>000 [[2,4],[5,6]]=>[3,4,1,2]=>000 [[2,5],[4,6]]=>[2,4,1,3]=>000 [[2,4],[6,6]]=>[3,4,1,2]=>000 [[2,5],[5,6]]=>[2,4,1,3]=>000 [[2,5],[6,6]]=>[3,4,1,2]=>000 [[3,3],[4,6]]=>[3,4,1,2]=>000 [[3,3],[5,6]]=>[3,4,1,2]=>000 [[3,3],[6,6]]=>[3,4,1,2]=>000 [[3,4],[4,6]]=>[2,4,1,3]=>000 [[3,4],[5,6]]=>[3,4,1,2]=>000 [[3,5],[4,6]]=>[2,4,1,3]=>000 [[3,4],[6,6]]=>[3,4,1,2]=>000 [[3,5],[5,6]]=>[2,4,1,3]=>000 [[3,5],[6,6]]=>[3,4,1,2]=>000 [[4,4],[5,6]]=>[3,4,1,2]=>000 [[4,4],[6,6]]=>[3,4,1,2]=>000 [[4,5],[5,6]]=>[2,4,1,3]=>000 [[4,5],[6,6]]=>[3,4,1,2]=>000 [[5,5],[6,6]]=>[3,4,1,2]=>000 [[1,1],[2],[6]]=>[4,3,1,2]=>000 [[1,1],[3],[6]]=>[4,3,1,2]=>000 [[1,1],[4],[6]]=>[4,3,1,2]=>000 [[1,1],[5],[6]]=>[4,3,1,2]=>000 [[1,2],[2],[6]]=>[4,2,1,3]=>000 [[1,2],[3],[6]]=>[4,3,1,2]=>000 [[1,3],[2],[6]]=>[4,2,1,3]=>000 [[1,6],[2],[3]]=>[3,2,1,4]=>001 [[1,2],[4],[6]]=>[4,3,1,2]=>000 [[1,4],[2],[6]]=>[4,2,1,3]=>000 [[1,6],[2],[4]]=>[3,2,1,4]=>001 [[1,2],[5],[6]]=>[4,3,1,2]=>000 [[1,5],[2],[6]]=>[4,2,1,3]=>000 [[1,6],[2],[5]]=>[3,2,1,4]=>001 [[1,6],[2],[6]]=>[3,2,1,4]=>001 [[1,3],[3],[6]]=>[4,2,1,3]=>000 [[1,3],[4],[6]]=>[4,3,1,2]=>000 [[1,4],[3],[6]]=>[4,2,1,3]=>000 [[1,6],[3],[4]]=>[3,2,1,4]=>001 [[1,3],[5],[6]]=>[4,3,1,2]=>000 [[1,5],[3],[6]]=>[4,2,1,3]=>000 [[1,6],[3],[5]]=>[3,2,1,4]=>001 [[1,6],[3],[6]]=>[3,2,1,4]=>001 [[1,4],[4],[6]]=>[4,2,1,3]=>000 [[1,4],[5],[6]]=>[4,3,1,2]=>000 [[1,5],[4],[6]]=>[4,2,1,3]=>000 [[1,6],[4],[5]]=>[3,2,1,4]=>001 [[1,6],[4],[6]]=>[3,2,1,4]=>001 [[1,5],[5],[6]]=>[4,2,1,3]=>000 [[1,6],[5],[6]]=>[3,2,1,4]=>001 [[2,2],[3],[6]]=>[4,3,1,2]=>000 [[2,2],[4],[6]]=>[4,3,1,2]=>000 [[2,2],[5],[6]]=>[4,3,1,2]=>000 [[2,3],[3],[6]]=>[4,2,1,3]=>000 [[2,3],[4],[6]]=>[4,3,1,2]=>000 [[2,4],[3],[6]]=>[4,2,1,3]=>000 [[2,6],[3],[4]]=>[3,2,1,4]=>001 [[2,3],[5],[6]]=>[4,3,1,2]=>000 [[2,5],[3],[6]]=>[4,2,1,3]=>000 [[2,6],[3],[5]]=>[3,2,1,4]=>001 [[2,6],[3],[6]]=>[3,2,1,4]=>001 [[2,4],[4],[6]]=>[4,2,1,3]=>000 [[2,4],[5],[6]]=>[4,3,1,2]=>000 [[2,5],[4],[6]]=>[4,2,1,3]=>000 [[2,6],[4],[5]]=>[3,2,1,4]=>001 [[2,6],[4],[6]]=>[3,2,1,4]=>001 [[2,5],[5],[6]]=>[4,2,1,3]=>000 [[2,6],[5],[6]]=>[3,2,1,4]=>001 [[3,3],[4],[6]]=>[4,3,1,2]=>000 [[3,3],[5],[6]]=>[4,3,1,2]=>000 [[3,4],[4],[6]]=>[4,2,1,3]=>000 [[3,4],[5],[6]]=>[4,3,1,2]=>000 [[3,5],[4],[6]]=>[4,2,1,3]=>000 [[3,6],[4],[5]]=>[3,2,1,4]=>001 [[3,6],[4],[6]]=>[3,2,1,4]=>001 [[3,5],[5],[6]]=>[4,2,1,3]=>000 [[3,6],[5],[6]]=>[3,2,1,4]=>001 [[4,4],[5],[6]]=>[4,3,1,2]=>000 [[4,5],[5],[6]]=>[4,2,1,3]=>000 [[4,6],[5],[6]]=>[3,2,1,4]=>001 [[1],[2],[3],[6]]=>[4,3,2,1]=>000 [[1],[2],[4],[6]]=>[4,3,2,1]=>000 [[1],[2],[5],[6]]=>[4,3,2,1]=>000 [[1],[3],[4],[6]]=>[4,3,2,1]=>000 [[1],[3],[5],[6]]=>[4,3,2,1]=>000 [[1],[4],[5],[6]]=>[4,3,2,1]=>000 [[2],[3],[4],[6]]=>[4,3,2,1]=>000 [[2],[3],[5],[6]]=>[4,3,2,1]=>000 [[2],[4],[5],[6]]=>[4,3,2,1]=>000 [[3],[4],[5],[6]]=>[4,3,2,1]=>000 [[1,1,1,1,5]]=>[1,2,3,4,5]=>1111 [[1,1,1,2,5]]=>[1,2,3,4,5]=>1111 [[1,1,1,3,5]]=>[1,2,3,4,5]=>1111 [[1,1,1,4,5]]=>[1,2,3,4,5]=>1111 [[1,1,1,5,5]]=>[1,2,3,4,5]=>1111 [[1,1,2,2,5]]=>[1,2,3,4,5]=>1111 [[1,1,2,3,5]]=>[1,2,3,4,5]=>1111 [[1,1,2,4,5]]=>[1,2,3,4,5]=>1111 [[1,1,2,5,5]]=>[1,2,3,4,5]=>1111 [[1,1,3,3,5]]=>[1,2,3,4,5]=>1111 [[1,1,3,4,5]]=>[1,2,3,4,5]=>1111 [[1,1,3,5,5]]=>[1,2,3,4,5]=>1111 [[1,1,4,4,5]]=>[1,2,3,4,5]=>1111 [[1,1,4,5,5]]=>[1,2,3,4,5]=>1111 [[1,1,5,5,5]]=>[1,2,3,4,5]=>1111 [[1,2,2,2,5]]=>[1,2,3,4,5]=>1111 [[1,2,2,3,5]]=>[1,2,3,4,5]=>1111 [[1,2,2,4,5]]=>[1,2,3,4,5]=>1111 [[1,2,2,5,5]]=>[1,2,3,4,5]=>1111 [[1,2,3,3,5]]=>[1,2,3,4,5]=>1111 [[1,2,3,4,5]]=>[1,2,3,4,5]=>1111 [[1,2,3,5,5]]=>[1,2,3,4,5]=>1111 [[1,2,4,4,5]]=>[1,2,3,4,5]=>1111 [[1,2,4,5,5]]=>[1,2,3,4,5]=>1111 [[1,2,5,5,5]]=>[1,2,3,4,5]=>1111 [[1,3,3,3,5]]=>[1,2,3,4,5]=>1111 [[1,3,3,4,5]]=>[1,2,3,4,5]=>1111 [[1,3,3,5,5]]=>[1,2,3,4,5]=>1111 [[1,3,4,4,5]]=>[1,2,3,4,5]=>1111 [[1,3,4,5,5]]=>[1,2,3,4,5]=>1111 [[1,3,5,5,5]]=>[1,2,3,4,5]=>1111 [[1,4,4,4,5]]=>[1,2,3,4,5]=>1111 [[1,4,4,5,5]]=>[1,2,3,4,5]=>1111 [[1,4,5,5,5]]=>[1,2,3,4,5]=>1111 [[1,5,5,5,5]]=>[1,2,3,4,5]=>1111 [[2,2,2,2,5]]=>[1,2,3,4,5]=>1111 [[2,2,2,3,5]]=>[1,2,3,4,5]=>1111 [[2,2,2,4,5]]=>[1,2,3,4,5]=>1111 [[2,2,2,5,5]]=>[1,2,3,4,5]=>1111 [[2,2,3,3,5]]=>[1,2,3,4,5]=>1111 [[2,2,3,4,5]]=>[1,2,3,4,5]=>1111 [[2,2,3,5,5]]=>[1,2,3,4,5]=>1111 [[2,2,4,4,5]]=>[1,2,3,4,5]=>1111 [[2,2,4,5,5]]=>[1,2,3,4,5]=>1111 [[2,2,5,5,5]]=>[1,2,3,4,5]=>1111 [[2,3,3,3,5]]=>[1,2,3,4,5]=>1111 [[2,3,3,4,5]]=>[1,2,3,4,5]=>1111 [[2,3,3,5,5]]=>[1,2,3,4,5]=>1111 [[2,3,4,4,5]]=>[1,2,3,4,5]=>1111 [[2,3,4,5,5]]=>[1,2,3,4,5]=>1111 [[2,3,5,5,5]]=>[1,2,3,4,5]=>1111 [[2,4,4,4,5]]=>[1,2,3,4,5]=>1111 [[2,4,4,5,5]]=>[1,2,3,4,5]=>1111 [[2,4,5,5,5]]=>[1,2,3,4,5]=>1111 [[2,5,5,5,5]]=>[1,2,3,4,5]=>1111 [[3,3,3,3,5]]=>[1,2,3,4,5]=>1111 [[3,3,3,4,5]]=>[1,2,3,4,5]=>1111 [[3,3,3,5,5]]=>[1,2,3,4,5]=>1111 [[3,3,4,4,5]]=>[1,2,3,4,5]=>1111 [[3,3,4,5,5]]=>[1,2,3,4,5]=>1111 [[3,3,5,5,5]]=>[1,2,3,4,5]=>1111 [[3,4,4,4,5]]=>[1,2,3,4,5]=>1111 [[3,4,4,5,5]]=>[1,2,3,4,5]=>1111 [[3,4,5,5,5]]=>[1,2,3,4,5]=>1111 [[3,5,5,5,5]]=>[1,2,3,4,5]=>1111 [[4,4,4,4,5]]=>[1,2,3,4,5]=>1111 [[4,4,4,5,5]]=>[1,2,3,4,5]=>1111 [[4,4,5,5,5]]=>[1,2,3,4,5]=>1111 [[4,5,5,5,5]]=>[1,2,3,4,5]=>1111 [[5,5,5,5,5]]=>[1,2,3,4,5]=>1111 [[1,1,1,1],[5]]=>[5,1,2,3,4]=>0000 [[1,1,1,2],[5]]=>[5,1,2,3,4]=>0000 [[1,1,1,5],[2]]=>[4,1,2,3,5]=>0001 [[1,1,1,3],[5]]=>[5,1,2,3,4]=>0000 [[1,1,1,5],[3]]=>[4,1,2,3,5]=>0001 [[1,1,1,4],[5]]=>[5,1,2,3,4]=>0000 [[1,1,1,5],[4]]=>[4,1,2,3,5]=>0001 [[1,1,1,5],[5]]=>[4,1,2,3,5]=>0001 [[1,1,2,2],[5]]=>[5,1,2,3,4]=>0000 [[1,1,2,5],[2]]=>[3,1,2,4,5]=>0011 [[1,1,2,3],[5]]=>[5,1,2,3,4]=>0000 [[1,1,2,5],[3]]=>[4,1,2,3,5]=>0001 [[1,1,3,5],[2]]=>[3,1,2,4,5]=>0011 [[1,1,2,4],[5]]=>[5,1,2,3,4]=>0000 [[1,1,2,5],[4]]=>[4,1,2,3,5]=>0001 [[1,1,4,5],[2]]=>[3,1,2,4,5]=>0011 [[1,1,2,5],[5]]=>[4,1,2,3,5]=>0001 [[1,1,5,5],[2]]=>[3,1,2,4,5]=>0011 [[1,1,3,3],[5]]=>[5,1,2,3,4]=>0000 [[1,1,3,5],[3]]=>[3,1,2,4,5]=>0011 [[1,1,3,4],[5]]=>[5,1,2,3,4]=>0000 [[1,1,3,5],[4]]=>[4,1,2,3,5]=>0001 [[1,1,4,5],[3]]=>[3,1,2,4,5]=>0011 [[1,1,3,5],[5]]=>[4,1,2,3,5]=>0001 [[1,1,5,5],[3]]=>[3,1,2,4,5]=>0011 [[1,1,4,4],[5]]=>[5,1,2,3,4]=>0000 [[1,1,4,5],[4]]=>[3,1,2,4,5]=>0011 [[1,1,4,5],[5]]=>[4,1,2,3,5]=>0001 [[1,1,5,5],[4]]=>[3,1,2,4,5]=>0011 [[1,1,5,5],[5]]=>[3,1,2,4,5]=>0011 [[1,2,2,2],[5]]=>[5,1,2,3,4]=>0000 [[1,2,2,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,2,3],[5]]=>[5,1,2,3,4]=>0000 [[1,2,2,5],[3]]=>[4,1,2,3,5]=>0001 [[1,2,3,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,2,4],[5]]=>[5,1,2,3,4]=>0000 [[1,2,2,5],[4]]=>[4,1,2,3,5]=>0001 [[1,2,4,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,2,5],[5]]=>[4,1,2,3,5]=>0001 [[1,2,5,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,3,3],[5]]=>[5,1,2,3,4]=>0000 [[1,2,3,5],[3]]=>[3,1,2,4,5]=>0011 [[1,3,3,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,3,4],[5]]=>[5,1,2,3,4]=>0000 [[1,2,3,5],[4]]=>[4,1,2,3,5]=>0001 [[1,2,4,5],[3]]=>[3,1,2,4,5]=>0011 [[1,3,4,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,3,5],[5]]=>[4,1,2,3,5]=>0001 [[1,2,5,5],[3]]=>[3,1,2,4,5]=>0011 [[1,3,5,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,4,4],[5]]=>[5,1,2,3,4]=>0000 [[1,2,4,5],[4]]=>[3,1,2,4,5]=>0011 [[1,4,4,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,4,5],[5]]=>[4,1,2,3,5]=>0001 [[1,2,5,5],[4]]=>[3,1,2,4,5]=>0011 [[1,4,5,5],[2]]=>[2,1,3,4,5]=>0111 [[1,2,5,5],[5]]=>[3,1,2,4,5]=>0011 [[1,5,5,5],[2]]=>[2,1,3,4,5]=>0111 [[1,3,3,3],[5]]=>[5,1,2,3,4]=>0000 [[1,3,3,5],[3]]=>[2,1,3,4,5]=>0111 [[1,3,3,4],[5]]=>[5,1,2,3,4]=>0000 [[1,3,3,5],[4]]=>[4,1,2,3,5]=>0001 [[1,3,4,5],[3]]=>[2,1,3,4,5]=>0111 [[1,3,3,5],[5]]=>[4,1,2,3,5]=>0001 [[1,3,5,5],[3]]=>[2,1,3,4,5]=>0111 [[1,3,4,4],[5]]=>[5,1,2,3,4]=>0000 [[1,3,4,5],[4]]=>[3,1,2,4,5]=>0011 [[1,4,4,5],[3]]=>[2,1,3,4,5]=>0111 [[1,3,4,5],[5]]=>[4,1,2,3,5]=>0001 [[1,3,5,5],[4]]=>[3,1,2,4,5]=>0011 [[1,4,5,5],[3]]=>[2,1,3,4,5]=>0111 [[1,3,5,5],[5]]=>[3,1,2,4,5]=>0011 [[1,5,5,5],[3]]=>[2,1,3,4,5]=>0111 [[1,4,4,4],[5]]=>[5,1,2,3,4]=>0000 [[1,4,4,5],[4]]=>[2,1,3,4,5]=>0111 [[1,4,4,5],[5]]=>[4,1,2,3,5]=>0001 [[1,4,5,5],[4]]=>[2,1,3,4,5]=>0111 [[1,4,5,5],[5]]=>[3,1,2,4,5]=>0011 [[1,5,5,5],[4]]=>[2,1,3,4,5]=>0111 [[1,5,5,5],[5]]=>[2,1,3,4,5]=>0111 [[2,2,2,2],[5]]=>[5,1,2,3,4]=>0000 [[2,2,2,3],[5]]=>[5,1,2,3,4]=>0000 [[2,2,2,5],[3]]=>[4,1,2,3,5]=>0001 [[2,2,2,4],[5]]=>[5,1,2,3,4]=>0000 [[2,2,2,5],[4]]=>[4,1,2,3,5]=>0001 [[2,2,2,5],[5]]=>[4,1,2,3,5]=>0001 [[2,2,3,3],[5]]=>[5,1,2,3,4]=>0000 [[2,2,3,5],[3]]=>[3,1,2,4,5]=>0011 [[2,2,3,4],[5]]=>[5,1,2,3,4]=>0000 [[2,2,3,5],[4]]=>[4,1,2,3,5]=>0001 [[2,2,4,5],[3]]=>[3,1,2,4,5]=>0011 [[2,2,3,5],[5]]=>[4,1,2,3,5]=>0001 [[2,2,5,5],[3]]=>[3,1,2,4,5]=>0011 [[2,2,4,4],[5]]=>[5,1,2,3,4]=>0000 [[2,2,4,5],[4]]=>[3,1,2,4,5]=>0011 [[2,2,4,5],[5]]=>[4,1,2,3,5]=>0001 [[2,2,5,5],[4]]=>[3,1,2,4,5]=>0011 [[2,2,5,5],[5]]=>[3,1,2,4,5]=>0011 [[2,3,3,3],[5]]=>[5,1,2,3,4]=>0000 [[2,3,3,5],[3]]=>[2,1,3,4,5]=>0111 [[2,3,3,4],[5]]=>[5,1,2,3,4]=>0000 [[2,3,3,5],[4]]=>[4,1,2,3,5]=>0001 [[2,3,4,5],[3]]=>[2,1,3,4,5]=>0111 [[2,3,3,5],[5]]=>[4,1,2,3,5]=>0001 [[2,3,5,5],[3]]=>[2,1,3,4,5]=>0111 [[2,3,4,4],[5]]=>[5,1,2,3,4]=>0000 [[2,3,4,5],[4]]=>[3,1,2,4,5]=>0011 [[2,4,4,5],[3]]=>[2,1,3,4,5]=>0111 [[2,3,4,5],[5]]=>[4,1,2,3,5]=>0001 [[2,3,5,5],[4]]=>[3,1,2,4,5]=>0011 [[2,4,5,5],[3]]=>[2,1,3,4,5]=>0111 [[2,3,5,5],[5]]=>[3,1,2,4,5]=>0011 [[2,5,5,5],[3]]=>[2,1,3,4,5]=>0111 [[2,4,4,4],[5]]=>[5,1,2,3,4]=>0000 [[2,4,4,5],[4]]=>[2,1,3,4,5]=>0111 [[2,4,4,5],[5]]=>[4,1,2,3,5]=>0001 [[2,4,5,5],[4]]=>[2,1,3,4,5]=>0111 [[2,4,5,5],[5]]=>[3,1,2,4,5]=>0011 [[2,5,5,5],[4]]=>[2,1,3,4,5]=>0111 [[2,5,5,5],[5]]=>[2,1,3,4,5]=>0111 [[3,3,3,3],[5]]=>[5,1,2,3,4]=>0000 [[3,3,3,4],[5]]=>[5,1,2,3,4]=>0000 [[3,3,3,5],[4]]=>[4,1,2,3,5]=>0001 [[3,3,3,5],[5]]=>[4,1,2,3,5]=>0001 [[3,3,4,4],[5]]=>[5,1,2,3,4]=>0000 [[3,3,4,5],[4]]=>[3,1,2,4,5]=>0011 [[3,3,4,5],[5]]=>[4,1,2,3,5]=>0001 [[3,3,5,5],[4]]=>[3,1,2,4,5]=>0011 [[3,3,5,5],[5]]=>[3,1,2,4,5]=>0011 [[3,4,4,4],[5]]=>[5,1,2,3,4]=>0000 [[3,4,4,5],[4]]=>[2,1,3,4,5]=>0111 [[3,4,4,5],[5]]=>[4,1,2,3,5]=>0001 [[3,4,5,5],[4]]=>[2,1,3,4,5]=>0111 [[3,4,5,5],[5]]=>[3,1,2,4,5]=>0011 [[3,5,5,5],[4]]=>[2,1,3,4,5]=>0111 [[3,5,5,5],[5]]=>[2,1,3,4,5]=>0111 [[4,4,4,4],[5]]=>[5,1,2,3,4]=>0000 [[4,4,4,5],[5]]=>[4,1,2,3,5]=>0001 [[4,4,5,5],[5]]=>[3,1,2,4,5]=>0011 [[4,5,5,5],[5]]=>[2,1,3,4,5]=>0111 [[1,1,1],[2,5]]=>[4,5,1,2,3]=>0000 [[1,1,1],[3,5]]=>[4,5,1,2,3]=>0000 [[1,1,1],[4,5]]=>[4,5,1,2,3]=>0000 [[1,1,1],[5,5]]=>[4,5,1,2,3]=>0000 [[1,1,2],[2,5]]=>[3,5,1,2,4]=>0000 [[1,1,5],[2,2]]=>[3,4,1,2,5]=>0001 [[1,1,2],[3,5]]=>[4,5,1,2,3]=>0000 [[1,1,3],[2,5]]=>[3,5,1,2,4]=>0000 [[1,1,5],[2,3]]=>[3,4,1,2,5]=>0001 [[1,1,2],[4,5]]=>[4,5,1,2,3]=>0000 [[1,1,4],[2,5]]=>[3,5,1,2,4]=>0000 [[1,1,5],[2,4]]=>[3,4,1,2,5]=>0001 [[1,1,2],[5,5]]=>[4,5,1,2,3]=>0000 [[1,1,5],[2,5]]=>[3,4,1,2,5]=>0001 [[1,1,3],[3,5]]=>[3,5,1,2,4]=>0000 [[1,1,5],[3,3]]=>[3,4,1,2,5]=>0001 [[1,1,3],[4,5]]=>[4,5,1,2,3]=>0000 [[1,1,4],[3,5]]=>[3,5,1,2,4]=>0000 [[1,1,5],[3,4]]=>[3,4,1,2,5]=>0001 [[1,1,3],[5,5]]=>[4,5,1,2,3]=>0000 [[1,1,5],[3,5]]=>[3,4,1,2,5]=>0001 [[1,1,4],[4,5]]=>[3,5,1,2,4]=>0000 [[1,1,5],[4,4]]=>[3,4,1,2,5]=>0001 [[1,1,4],[5,5]]=>[4,5,1,2,3]=>0000 [[1,1,5],[4,5]]=>[3,4,1,2,5]=>0001 [[1,1,5],[5,5]]=>[3,4,1,2,5]=>0001 [[1,2,2],[2,5]]=>[2,5,1,3,4]=>0000 [[1,2,2],[3,5]]=>[4,5,1,2,3]=>0000 [[1,2,3],[2,5]]=>[2,5,1,3,4]=>0000 [[1,2,5],[2,3]]=>[2,4,1,3,5]=>0001 [[1,2,2],[4,5]]=>[4,5,1,2,3]=>0000 [[1,2,4],[2,5]]=>[2,5,1,3,4]=>0000 [[1,2,5],[2,4]]=>[2,4,1,3,5]=>0001 [[1,2,2],[5,5]]=>[4,5,1,2,3]=>0000 [[1,2,5],[2,5]]=>[2,4,1,3,5]=>0001 [[1,2,3],[3,5]]=>[3,5,1,2,4]=>0000 [[1,2,5],[3,3]]=>[3,4,1,2,5]=>0001 [[1,3,3],[2,5]]=>[2,5,1,3,4]=>0000 [[1,2,3],[4,5]]=>[4,5,1,2,3]=>0000 [[1,2,4],[3,5]]=>[3,5,1,2,4]=>0000 [[1,2,5],[3,4]]=>[3,4,1,2,5]=>0001 [[1,3,4],[2,5]]=>[2,5,1,3,4]=>0000 [[1,3,5],[2,4]]=>[2,4,1,3,5]=>0001 [[1,2,3],[5,5]]=>[4,5,1,2,3]=>0000 [[1,2,5],[3,5]]=>[3,4,1,2,5]=>0001 [[1,3,5],[2,5]]=>[2,4,1,3,5]=>0001 [[1,2,4],[4,5]]=>[3,5,1,2,4]=>0000 [[1,2,5],[4,4]]=>[3,4,1,2,5]=>0001 [[1,4,4],[2,5]]=>[2,5,1,3,4]=>0000 [[1,2,4],[5,5]]=>[4,5,1,2,3]=>0000 [[1,2,5],[4,5]]=>[3,4,1,2,5]=>0001 [[1,4,5],[2,5]]=>[2,4,1,3,5]=>0001 [[1,2,5],[5,5]]=>[3,4,1,2,5]=>0001 [[1,3,3],[3,5]]=>[2,5,1,3,4]=>0000 [[1,3,3],[4,5]]=>[4,5,1,2,3]=>0000 [[1,3,4],[3,5]]=>[2,5,1,3,4]=>0000 [[1,3,5],[3,4]]=>[2,4,1,3,5]=>0001 [[1,3,3],[5,5]]=>[4,5,1,2,3]=>0000 [[1,3,5],[3,5]]=>[2,4,1,3,5]=>0001 [[1,3,4],[4,5]]=>[3,5,1,2,4]=>0000 [[1,3,5],[4,4]]=>[3,4,1,2,5]=>0001 [[1,4,4],[3,5]]=>[2,5,1,3,4]=>0000 [[1,3,4],[5,5]]=>[4,5,1,2,3]=>0000 [[1,3,5],[4,5]]=>[3,4,1,2,5]=>0001 [[1,4,5],[3,5]]=>[2,4,1,3,5]=>0001 [[1,3,5],[5,5]]=>[3,4,1,2,5]=>0001 [[1,4,4],[4,5]]=>[2,5,1,3,4]=>0000 [[1,4,4],[5,5]]=>[4,5,1,2,3]=>0000 [[1,4,5],[4,5]]=>[2,4,1,3,5]=>0001 [[1,4,5],[5,5]]=>[3,4,1,2,5]=>0001 [[2,2,2],[3,5]]=>[4,5,1,2,3]=>0000 [[2,2,2],[4,5]]=>[4,5,1,2,3]=>0000 [[2,2,2],[5,5]]=>[4,5,1,2,3]=>0000 [[2,2,3],[3,5]]=>[3,5,1,2,4]=>0000 [[2,2,5],[3,3]]=>[3,4,1,2,5]=>0001 [[2,2,3],[4,5]]=>[4,5,1,2,3]=>0000 [[2,2,4],[3,5]]=>[3,5,1,2,4]=>0000 [[2,2,5],[3,4]]=>[3,4,1,2,5]=>0001 [[2,2,3],[5,5]]=>[4,5,1,2,3]=>0000 [[2,2,5],[3,5]]=>[3,4,1,2,5]=>0001 [[2,2,4],[4,5]]=>[3,5,1,2,4]=>0000 [[2,2,5],[4,4]]=>[3,4,1,2,5]=>0001 [[2,2,4],[5,5]]=>[4,5,1,2,3]=>0000 [[2,2,5],[4,5]]=>[3,4,1,2,5]=>0001 [[2,2,5],[5,5]]=>[3,4,1,2,5]=>0001 [[2,3,3],[3,5]]=>[2,5,1,3,4]=>0000 [[2,3,3],[4,5]]=>[4,5,1,2,3]=>0000 [[2,3,4],[3,5]]=>[2,5,1,3,4]=>0000 [[2,3,5],[3,4]]=>[2,4,1,3,5]=>0001 [[2,3,3],[5,5]]=>[4,5,1,2,3]=>0000 [[2,3,5],[3,5]]=>[2,4,1,3,5]=>0001 [[2,3,4],[4,5]]=>[3,5,1,2,4]=>0000 [[2,3,5],[4,4]]=>[3,4,1,2,5]=>0001 [[2,4,4],[3,5]]=>[2,5,1,3,4]=>0000 [[2,3,4],[5,5]]=>[4,5,1,2,3]=>0000 [[2,3,5],[4,5]]=>[3,4,1,2,5]=>0001 [[2,4,5],[3,5]]=>[2,4,1,3,5]=>0001 [[2,3,5],[5,5]]=>[3,4,1,2,5]=>0001 [[2,4,4],[4,5]]=>[2,5,1,3,4]=>0000 [[2,4,4],[5,5]]=>[4,5,1,2,3]=>0000 [[2,4,5],[4,5]]=>[2,4,1,3,5]=>0001 [[2,4,5],[5,5]]=>[3,4,1,2,5]=>0001 [[3,3,3],[4,5]]=>[4,5,1,2,3]=>0000 [[3,3,3],[5,5]]=>[4,5,1,2,3]=>0000 [[3,3,4],[4,5]]=>[3,5,1,2,4]=>0000 [[3,3,5],[4,4]]=>[3,4,1,2,5]=>0001 [[3,3,4],[5,5]]=>[4,5,1,2,3]=>0000 [[3,3,5],[4,5]]=>[3,4,1,2,5]=>0001 [[3,3,5],[5,5]]=>[3,4,1,2,5]=>0001 [[3,4,4],[4,5]]=>[2,5,1,3,4]=>0000 [[3,4,4],[5,5]]=>[4,5,1,2,3]=>0000 [[3,4,5],[4,5]]=>[2,4,1,3,5]=>0001 [[3,4,5],[5,5]]=>[3,4,1,2,5]=>0001 [[4,4,4],[5,5]]=>[4,5,1,2,3]=>0000 [[4,4,5],[5,5]]=>[3,4,1,2,5]=>0001 [[1,1,1],[2],[5]]=>[5,4,1,2,3]=>0000 [[1,1,1],[3],[5]]=>[5,4,1,2,3]=>0000 [[1,1,1],[4],[5]]=>[5,4,1,2,3]=>0000 [[1,1,2],[2],[5]]=>[5,3,1,2,4]=>0000 [[1,1,2],[3],[5]]=>[5,4,1,2,3]=>0000 [[1,1,3],[2],[5]]=>[5,3,1,2,4]=>0000 [[1,1,5],[2],[3]]=>[4,3,1,2,5]=>0001 [[1,1,2],[4],[5]]=>[5,4,1,2,3]=>0000 [[1,1,4],[2],[5]]=>[5,3,1,2,4]=>0000 [[1,1,5],[2],[4]]=>[4,3,1,2,5]=>0001 [[1,1,5],[2],[5]]=>[4,3,1,2,5]=>0001 [[1,1,3],[3],[5]]=>[5,3,1,2,4]=>0000 [[1,1,3],[4],[5]]=>[5,4,1,2,3]=>0000 [[1,1,4],[3],[5]]=>[5,3,1,2,4]=>0000 [[1,1,5],[3],[4]]=>[4,3,1,2,5]=>0001 [[1,1,5],[3],[5]]=>[4,3,1,2,5]=>0001 [[1,1,4],[4],[5]]=>[5,3,1,2,4]=>0000 [[1,1,5],[4],[5]]=>[4,3,1,2,5]=>0001 [[1,2,2],[2],[5]]=>[5,2,1,3,4]=>0000 [[1,2,2],[3],[5]]=>[5,4,1,2,3]=>0000 [[1,2,3],[2],[5]]=>[5,2,1,3,4]=>0000 [[1,2,5],[2],[3]]=>[4,2,1,3,5]=>0001 [[1,2,2],[4],[5]]=>[5,4,1,2,3]=>0000 [[1,2,4],[2],[5]]=>[5,2,1,3,4]=>0000 [[1,2,5],[2],[4]]=>[4,2,1,3,5]=>0001 [[1,2,5],[2],[5]]=>[4,2,1,3,5]=>0001 [[1,2,3],[3],[5]]=>[5,3,1,2,4]=>0000 [[1,3,3],[2],[5]]=>[5,2,1,3,4]=>0000 [[1,3,5],[2],[3]]=>[3,2,1,4,5]=>0011 [[1,2,3],[4],[5]]=>[5,4,1,2,3]=>0000 [[1,2,4],[3],[5]]=>[5,3,1,2,4]=>0000 [[1,2,5],[3],[4]]=>[4,3,1,2,5]=>0001 [[1,3,4],[2],[5]]=>[5,2,1,3,4]=>0000 [[1,3,5],[2],[4]]=>[4,2,1,3,5]=>0001 [[1,4,5],[2],[3]]=>[3,2,1,4,5]=>0011 [[1,2,5],[3],[5]]=>[4,3,1,2,5]=>0001 [[1,3,5],[2],[5]]=>[4,2,1,3,5]=>0001 [[1,5,5],[2],[3]]=>[3,2,1,4,5]=>0011 [[1,2,4],[4],[5]]=>[5,3,1,2,4]=>0000 [[1,4,4],[2],[5]]=>[5,2,1,3,4]=>0000 [[1,4,5],[2],[4]]=>[3,2,1,4,5]=>0011 [[1,2,5],[4],[5]]=>[4,3,1,2,5]=>0001 [[1,4,5],[2],[5]]=>[4,2,1,3,5]=>0001 [[1,5,5],[2],[4]]=>[3,2,1,4,5]=>0011 [[1,5,5],[2],[5]]=>[3,2,1,4,5]=>0011 [[1,3,3],[3],[5]]=>[5,2,1,3,4]=>0000 [[1,3,3],[4],[5]]=>[5,4,1,2,3]=>0000 [[1,3,4],[3],[5]]=>[5,2,1,3,4]=>0000 [[1,3,5],[3],[4]]=>[4,2,1,3,5]=>0001 [[1,3,5],[3],[5]]=>[4,2,1,3,5]=>0001 [[1,3,4],[4],[5]]=>[5,3,1,2,4]=>0000 [[1,4,4],[3],[5]]=>[5,2,1,3,4]=>0000 [[1,4,5],[3],[4]]=>[3,2,1,4,5]=>0011 [[1,3,5],[4],[5]]=>[4,3,1,2,5]=>0001 [[1,4,5],[3],[5]]=>[4,2,1,3,5]=>0001 [[1,5,5],[3],[4]]=>[3,2,1,4,5]=>0011 [[1,5,5],[3],[5]]=>[3,2,1,4,5]=>0011 [[1,4,4],[4],[5]]=>[5,2,1,3,4]=>0000 [[1,4,5],[4],[5]]=>[4,2,1,3,5]=>0001 [[1,5,5],[4],[5]]=>[3,2,1,4,5]=>0011 [[2,2,2],[3],[5]]=>[5,4,1,2,3]=>0000 [[2,2,2],[4],[5]]=>[5,4,1,2,3]=>0000 [[2,2,3],[3],[5]]=>[5,3,1,2,4]=>0000 [[2,2,3],[4],[5]]=>[5,4,1,2,3]=>0000 [[2,2,4],[3],[5]]=>[5,3,1,2,4]=>0000 [[2,2,5],[3],[4]]=>[4,3,1,2,5]=>0001 [[2,2,5],[3],[5]]=>[4,3,1,2,5]=>0001 [[2,2,4],[4],[5]]=>[5,3,1,2,4]=>0000 [[2,2,5],[4],[5]]=>[4,3,1,2,5]=>0001 [[2,3,3],[3],[5]]=>[5,2,1,3,4]=>0000 [[2,3,3],[4],[5]]=>[5,4,1,2,3]=>0000 [[2,3,4],[3],[5]]=>[5,2,1,3,4]=>0000 [[2,3,5],[3],[4]]=>[4,2,1,3,5]=>0001 [[2,3,5],[3],[5]]=>[4,2,1,3,5]=>0001 [[2,3,4],[4],[5]]=>[5,3,1,2,4]=>0000 [[2,4,4],[3],[5]]=>[5,2,1,3,4]=>0000 [[2,4,5],[3],[4]]=>[3,2,1,4,5]=>0011 [[2,3,5],[4],[5]]=>[4,3,1,2,5]=>0001 [[2,4,5],[3],[5]]=>[4,2,1,3,5]=>0001 [[2,5,5],[3],[4]]=>[3,2,1,4,5]=>0011 [[2,5,5],[3],[5]]=>[3,2,1,4,5]=>0011 [[2,4,4],[4],[5]]=>[5,2,1,3,4]=>0000 [[2,4,5],[4],[5]]=>[4,2,1,3,5]=>0001 [[2,5,5],[4],[5]]=>[3,2,1,4,5]=>0011 [[3,3,3],[4],[5]]=>[5,4,1,2,3]=>0000 [[3,3,4],[4],[5]]=>[5,3,1,2,4]=>0000 [[3,3,5],[4],[5]]=>[4,3,1,2,5]=>0001 [[3,4,4],[4],[5]]=>[5,2,1,3,4]=>0000 [[3,4,5],[4],[5]]=>[4,2,1,3,5]=>0001 [[3,5,5],[4],[5]]=>[3,2,1,4,5]=>0011 [[1,1],[2,2],[5]]=>[5,3,4,1,2]=>0000 [[1,1],[2,3],[5]]=>[5,3,4,1,2]=>0000 [[1,1],[2,5],[3]]=>[4,3,5,1,2]=>0000 [[1,1],[2,4],[5]]=>[5,3,4,1,2]=>0000 [[1,1],[2,5],[4]]=>[4,3,5,1,2]=>0000 [[1,1],[2,5],[5]]=>[4,3,5,1,2]=>0000 [[1,1],[3,3],[5]]=>[5,3,4,1,2]=>0000 [[1,1],[3,4],[5]]=>[5,3,4,1,2]=>0000 [[1,1],[3,5],[4]]=>[4,3,5,1,2]=>0000 [[1,1],[3,5],[5]]=>[4,3,5,1,2]=>0000 [[1,1],[4,4],[5]]=>[5,3,4,1,2]=>0000 [[1,1],[4,5],[5]]=>[4,3,5,1,2]=>0000 [[1,2],[2,3],[5]]=>[5,2,4,1,3]=>0000 [[1,2],[2,5],[3]]=>[4,2,5,1,3]=>0000 [[1,2],[2,4],[5]]=>[5,2,4,1,3]=>0000 [[1,2],[2,5],[4]]=>[4,2,5,1,3]=>0000 [[1,2],[2,5],[5]]=>[4,2,5,1,3]=>0000 [[1,2],[3,3],[5]]=>[5,3,4,1,2]=>0000 [[1,3],[2,5],[3]]=>[3,2,5,1,4]=>0000 [[1,2],[3,4],[5]]=>[5,3,4,1,2]=>0000 [[1,2],[3,5],[4]]=>[4,3,5,1,2]=>0000 [[1,3],[2,4],[5]]=>[5,2,4,1,3]=>0000 [[1,3],[2,5],[4]]=>[4,2,5,1,3]=>0000 [[1,4],[2,5],[3]]=>[3,2,5,1,4]=>0000 [[1,2],[3,5],[5]]=>[4,3,5,1,2]=>0000 [[1,3],[2,5],[5]]=>[4,2,5,1,3]=>0000 [[1,2],[4,4],[5]]=>[5,3,4,1,2]=>0000 [[1,4],[2,5],[4]]=>[3,2,5,1,4]=>0000 [[1,2],[4,5],[5]]=>[4,3,5,1,2]=>0000 [[1,4],[2,5],[5]]=>[4,2,5,1,3]=>0000 [[1,3],[3,4],[5]]=>[5,2,4,1,3]=>0000 [[1,3],[3,5],[4]]=>[4,2,5,1,3]=>0000 [[1,3],[3,5],[5]]=>[4,2,5,1,3]=>0000 [[1,3],[4,4],[5]]=>[5,3,4,1,2]=>0000 [[1,4],[3,5],[4]]=>[3,2,5,1,4]=>0000 [[1,3],[4,5],[5]]=>[4,3,5,1,2]=>0000 [[1,4],[3,5],[5]]=>[4,2,5,1,3]=>0000 [[1,4],[4,5],[5]]=>[4,2,5,1,3]=>0000 [[2,2],[3,3],[5]]=>[5,3,4,1,2]=>0000 [[2,2],[3,4],[5]]=>[5,3,4,1,2]=>0000 [[2,2],[3,5],[4]]=>[4,3,5,1,2]=>0000 [[2,2],[3,5],[5]]=>[4,3,5,1,2]=>0000 [[2,2],[4,4],[5]]=>[5,3,4,1,2]=>0000 [[2,2],[4,5],[5]]=>[4,3,5,1,2]=>0000 [[2,3],[3,4],[5]]=>[5,2,4,1,3]=>0000 [[2,3],[3,5],[4]]=>[4,2,5,1,3]=>0000 [[2,3],[3,5],[5]]=>[4,2,5,1,3]=>0000 [[2,3],[4,4],[5]]=>[5,3,4,1,2]=>0000 [[2,4],[3,5],[4]]=>[3,2,5,1,4]=>0000 [[2,3],[4,5],[5]]=>[4,3,5,1,2]=>0000 [[2,4],[3,5],[5]]=>[4,2,5,1,3]=>0000 [[2,4],[4,5],[5]]=>[4,2,5,1,3]=>0000 [[3,3],[4,4],[5]]=>[5,3,4,1,2]=>0000 [[3,3],[4,5],[5]]=>[4,3,5,1,2]=>0000 [[3,4],[4,5],[5]]=>[4,2,5,1,3]=>0000 [[1,1],[2],[3],[5]]=>[5,4,3,1,2]=>0000 [[1,1],[2],[4],[5]]=>[5,4,3,1,2]=>0000 [[1,1],[3],[4],[5]]=>[5,4,3,1,2]=>0000 [[1,2],[2],[3],[5]]=>[5,4,2,1,3]=>0000 [[1,2],[2],[4],[5]]=>[5,4,2,1,3]=>0000 [[1,3],[2],[3],[5]]=>[5,3,2,1,4]=>0000 [[1,2],[3],[4],[5]]=>[5,4,3,1,2]=>0000 [[1,3],[2],[4],[5]]=>[5,4,2,1,3]=>0000 [[1,4],[2],[3],[5]]=>[5,3,2,1,4]=>0000 [[1,5],[2],[3],[4]]=>[4,3,2,1,5]=>0001 [[1,5],[2],[3],[5]]=>[4,3,2,1,5]=>0001 [[1,4],[2],[4],[5]]=>[5,3,2,1,4]=>0000 [[1,5],[2],[4],[5]]=>[4,3,2,1,5]=>0001 [[1,3],[3],[4],[5]]=>[5,4,2,1,3]=>0000 [[1,4],[3],[4],[5]]=>[5,3,2,1,4]=>0000 [[1,5],[3],[4],[5]]=>[4,3,2,1,5]=>0001 [[2,2],[3],[4],[5]]=>[5,4,3,1,2]=>0000 [[2,3],[3],[4],[5]]=>[5,4,2,1,3]=>0000 [[2,4],[3],[4],[5]]=>[5,3,2,1,4]=>0000 [[2,5],[3],[4],[5]]=>[4,3,2,1,5]=>0001 [[1],[2],[3],[4],[5]]=>[5,4,3,2,1]=>0000 [[1,1,1,1,1,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,2,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,2,2,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,2,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,2,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,2,2,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,2,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,2,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,2,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,3,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,3,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,3,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,2,2,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,2,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,2,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,2,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,3,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,3,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,3,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,2,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,3,3,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[1,3,3,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,3,3,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,3,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,4,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,2,2,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,2,3,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,2,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,2,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,3,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,3,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,3,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,2,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,3,3,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[2,3,3,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,3,3,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,3,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[2,4,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[3,3,3,3,3,4]]=>[1,2,3,4,5,6]=>11111 [[3,3,3,3,4,4]]=>[1,2,3,4,5,6]=>11111 [[3,3,3,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[3,3,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[3,4,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[4,4,4,4,4,4]]=>[1,2,3,4,5,6]=>11111 [[1,1,1,1,1],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,1,2],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,1,4],[2]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,1,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,1,4],[3]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,1,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,2,2],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,2,4],[2]]=>[4,1,2,3,5,6]=>00011 [[1,1,1,2,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,2,4],[3]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,3,4],[2]]=>[4,1,2,3,5,6]=>00011 [[1,1,1,2,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,4,4],[2]]=>[4,1,2,3,5,6]=>00011 [[1,1,1,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,1,3,4],[3]]=>[4,1,2,3,5,6]=>00011 [[1,1,1,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,1,1,4,4],[3]]=>[4,1,2,3,5,6]=>00011 [[1,1,1,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[1,1,2,2,2],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,2,2,4],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,2,2,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,2,2,4],[3]]=>[5,1,2,3,4,6]=>00001 [[1,1,2,3,4],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,2,2,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,1,2,4,4],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,2,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,2,3,4],[3]]=>[4,1,2,3,5,6]=>00011 [[1,1,3,3,4],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,2,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,1,2,4,4],[3]]=>[4,1,2,3,5,6]=>00011 [[1,1,3,4,4],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,2,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[1,1,4,4,4],[2]]=>[3,1,2,4,5,6]=>00111 [[1,1,3,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,1,3,3,4],[3]]=>[3,1,2,4,5,6]=>00111 [[1,1,3,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,1,3,4,4],[3]]=>[3,1,2,4,5,6]=>00111 [[1,1,3,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[1,1,4,4,4],[3]]=>[3,1,2,4,5,6]=>00111 [[1,1,4,4,4],[4]]=>[3,1,2,4,5,6]=>00111 [[1,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>00000 [[1,2,2,2,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>00001 [[1,2,2,3,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,2,2,4,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>00011 [[1,2,3,3,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>00011 [[1,2,3,4,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[1,2,4,4,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>00111 [[1,3,3,3,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>00111 [[1,3,3,4,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[1,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>00111 [[1,3,4,4,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>00111 [[1,4,4,4,4],[2]]=>[2,1,3,4,5,6]=>01111 [[1,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[1,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>01111 [[1,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[1,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>01111 [[1,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[1,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>01111 [[1,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>00111 [[1,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>01111 [[1,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>01111 [[2,2,2,2,2],[4]]=>[6,1,2,3,4,5]=>00000 [[2,2,2,2,3],[4]]=>[6,1,2,3,4,5]=>00000 [[2,2,2,2,4],[3]]=>[5,1,2,3,4,6]=>00001 [[2,2,2,2,4],[4]]=>[5,1,2,3,4,6]=>00001 [[2,2,2,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[2,2,2,3,4],[3]]=>[4,1,2,3,5,6]=>00011 [[2,2,2,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[2,2,2,4,4],[3]]=>[4,1,2,3,5,6]=>00011 [[2,2,2,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[2,2,3,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[2,2,3,3,4],[3]]=>[3,1,2,4,5,6]=>00111 [[2,2,3,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[2,2,3,4,4],[3]]=>[3,1,2,4,5,6]=>00111 [[2,2,3,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[2,2,4,4,4],[3]]=>[3,1,2,4,5,6]=>00111 [[2,2,4,4,4],[4]]=>[3,1,2,4,5,6]=>00111 [[2,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[2,3,3,3,4],[3]]=>[2,1,3,4,5,6]=>01111 [[2,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[2,3,3,4,4],[3]]=>[2,1,3,4,5,6]=>01111 [[2,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[2,3,4,4,4],[3]]=>[2,1,3,4,5,6]=>01111 [[2,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>00111 [[2,4,4,4,4],[3]]=>[2,1,3,4,5,6]=>01111 [[2,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>01111 [[3,3,3,3,3],[4]]=>[6,1,2,3,4,5]=>00000 [[3,3,3,3,4],[4]]=>[5,1,2,3,4,6]=>00001 [[3,3,3,4,4],[4]]=>[4,1,2,3,5,6]=>00011 [[3,3,4,4,4],[4]]=>[3,1,2,4,5,6]=>00111 [[3,4,4,4,4],[4]]=>[2,1,3,4,5,6]=>01111 [[1,1,1,1],[2,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,1],[3,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,1],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,2],[2,4]]=>[4,6,1,2,3,5]=>00000 [[1,1,1,4],[2,2]]=>[4,5,1,2,3,6]=>00001 [[1,1,1,2],[3,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,3],[2,4]]=>[4,6,1,2,3,5]=>00000 [[1,1,1,4],[2,3]]=>[4,5,1,2,3,6]=>00001 [[1,1,1,2],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,4],[2,4]]=>[4,5,1,2,3,6]=>00001 [[1,1,1,3],[3,4]]=>[4,6,1,2,3,5]=>00000 [[1,1,1,4],[3,3]]=>[4,5,1,2,3,6]=>00001 [[1,1,1,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,1,4],[3,4]]=>[4,5,1,2,3,6]=>00001 [[1,1,1,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[1,1,2,2],[2,4]]=>[3,6,1,2,4,5]=>00000 [[1,1,2,4],[2,2]]=>[3,4,1,2,5,6]=>00011 [[1,1,2,2],[3,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,2,3],[2,4]]=>[3,6,1,2,4,5]=>00000 [[1,1,2,4],[2,3]]=>[3,5,1,2,4,6]=>00001 [[1,1,3,4],[2,2]]=>[3,4,1,2,5,6]=>00011 [[1,1,2,2],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,2,4],[2,4]]=>[3,5,1,2,4,6]=>00001 [[1,1,4,4],[2,2]]=>[3,4,1,2,5,6]=>00011 [[1,1,2,3],[3,4]]=>[4,6,1,2,3,5]=>00000 [[1,1,2,4],[3,3]]=>[4,5,1,2,3,6]=>00001 [[1,1,3,3],[2,4]]=>[3,6,1,2,4,5]=>00000 [[1,1,3,4],[2,3]]=>[3,4,1,2,5,6]=>00011 [[1,1,2,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,2,4],[3,4]]=>[4,5,1,2,3,6]=>00001 [[1,1,3,4],[2,4]]=>[3,5,1,2,4,6]=>00001 [[1,1,4,4],[2,3]]=>[3,4,1,2,5,6]=>00011 [[1,1,2,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[1,1,4,4],[2,4]]=>[3,4,1,2,5,6]=>00011 [[1,1,3,3],[3,4]]=>[3,6,1,2,4,5]=>00000 [[1,1,3,4],[3,3]]=>[3,4,1,2,5,6]=>00011 [[1,1,3,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,1,3,4],[3,4]]=>[3,5,1,2,4,6]=>00001 [[1,1,4,4],[3,3]]=>[3,4,1,2,5,6]=>00011 [[1,1,3,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[1,1,4,4],[3,4]]=>[3,4,1,2,5,6]=>00011 [[1,1,4,4],[4,4]]=>[3,4,1,2,5,6]=>00011 [[1,2,2,2],[2,4]]=>[2,6,1,3,4,5]=>00000 [[1,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>00000 [[1,2,2,3],[2,4]]=>[2,6,1,3,4,5]=>00000 [[1,2,2,4],[2,3]]=>[2,5,1,3,4,6]=>00001 [[1,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,2,2,4],[2,4]]=>[2,5,1,3,4,6]=>00001 [[1,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>00000 [[1,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>00001 [[1,2,3,3],[2,4]]=>[2,6,1,3,4,5]=>00000 [[1,2,3,4],[2,3]]=>[2,4,1,3,5,6]=>00011 [[1,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>00001 [[1,2,3,4],[2,4]]=>[2,5,1,3,4,6]=>00001 [[1,2,4,4],[2,3]]=>[2,4,1,3,5,6]=>00011 [[1,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[1,2,4,4],[2,4]]=>[2,4,1,3,5,6]=>00011 [[1,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>00000 [[1,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>00011 [[1,3,3,3],[2,4]]=>[2,6,1,3,4,5]=>00000 [[1,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>00001 [[1,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>00011 [[1,3,3,4],[2,4]]=>[2,5,1,3,4,6]=>00001 [[1,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[1,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>00011 [[1,3,4,4],[2,4]]=>[2,4,1,3,5,6]=>00011 [[1,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>00011 [[1,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>00000 [[1,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[1,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>00001 [[1,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[1,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>00011 [[1,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>00011 [[2,2,2,2],[3,4]]=>[5,6,1,2,3,4]=>00000 [[2,2,2,2],[4,4]]=>[5,6,1,2,3,4]=>00000 [[2,2,2,3],[3,4]]=>[4,6,1,2,3,5]=>00000 [[2,2,2,4],[3,3]]=>[4,5,1,2,3,6]=>00001 [[2,2,2,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[2,2,2,4],[3,4]]=>[4,5,1,2,3,6]=>00001 [[2,2,2,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[2,2,3,3],[3,4]]=>[3,6,1,2,4,5]=>00000 [[2,2,3,4],[3,3]]=>[3,4,1,2,5,6]=>00011 [[2,2,3,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[2,2,3,4],[3,4]]=>[3,5,1,2,4,6]=>00001 [[2,2,4,4],[3,3]]=>[3,4,1,2,5,6]=>00011 [[2,2,3,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[2,2,4,4],[3,4]]=>[3,4,1,2,5,6]=>00011 [[2,2,4,4],[4,4]]=>[3,4,1,2,5,6]=>00011 [[2,3,3,3],[3,4]]=>[2,6,1,3,4,5]=>00000 [[2,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[2,3,3,4],[3,4]]=>[2,5,1,3,4,6]=>00001 [[2,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[2,3,4,4],[3,4]]=>[2,4,1,3,5,6]=>00011 [[2,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>00011 [[3,3,3,3],[4,4]]=>[5,6,1,2,3,4]=>00000 [[3,3,3,4],[4,4]]=>[4,5,1,2,3,6]=>00001 [[3,3,4,4],[4,4]]=>[3,4,1,2,5,6]=>00011 [[1,1,1,1],[2],[4]]=>[6,5,1,2,3,4]=>00000 [[1,1,1,1],[3],[4]]=>[6,5,1,2,3,4]=>00000 [[1,1,1,2],[2],[4]]=>[6,4,1,2,3,5]=>00000 [[1,1,1,2],[3],[4]]=>[6,5,1,2,3,4]=>00000 [[1,1,1,3],[2],[4]]=>[6,4,1,2,3,5]=>00000 [[1,1,1,4],[2],[3]]=>[5,4,1,2,3,6]=>00001 [[1,1,1,4],[2],[4]]=>[5,4,1,2,3,6]=>00001 [[1,1,1,3],[3],[4]]=>[6,4,1,2,3,5]=>00000 [[1,1,1,4],[3],[4]]=>[5,4,1,2,3,6]=>00001 [[1,1,2,2],[2],[4]]=>[6,3,1,2,4,5]=>00000 [[1,1,2,2],[3],[4]]=>[6,5,1,2,3,4]=>00000 [[1,1,2,3],[2],[4]]=>[6,3,1,2,4,5]=>00000 [[1,1,2,4],[2],[3]]=>[5,3,1,2,4,6]=>00001 [[1,1,2,4],[2],[4]]=>[5,3,1,2,4,6]=>00001 [[1,1,2,3],[3],[4]]=>[6,4,1,2,3,5]=>00000 [[1,1,3,3],[2],[4]]=>[6,3,1,2,4,5]=>00000 [[1,1,3,4],[2],[3]]=>[4,3,1,2,5,6]=>00011 [[1,1,2,4],[3],[4]]=>[5,4,1,2,3,6]=>00001 [[1,1,3,4],[2],[4]]=>[5,3,1,2,4,6]=>00001 [[1,1,4,4],[2],[3]]=>[4,3,1,2,5,6]=>00011 [[1,1,4,4],[2],[4]]=>[4,3,1,2,5,6]=>00011 [[1,1,3,3],[3],[4]]=>[6,3,1,2,4,5]=>00000 [[1,1,3,4],[3],[4]]=>[5,3,1,2,4,6]=>00001 [[1,1,4,4],[3],[4]]=>[4,3,1,2,5,6]=>00011 [[1,2,2,2],[2],[4]]=>[6,2,1,3,4,5]=>00000 [[1,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>00000 [[1,2,2,3],[2],[4]]=>[6,2,1,3,4,5]=>00000 [[1,2,2,4],[2],[3]]=>[5,2,1,3,4,6]=>00001 [[1,2,2,4],[2],[4]]=>[5,2,1,3,4,6]=>00001 [[1,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>00000 [[1,2,3,3],[2],[4]]=>[6,2,1,3,4,5]=>00000 [[1,2,3,4],[2],[3]]=>[4,2,1,3,5,6]=>00011 [[1,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>00001 [[1,2,3,4],[2],[4]]=>[5,2,1,3,4,6]=>00001 [[1,2,4,4],[2],[3]]=>[4,2,1,3,5,6]=>00011 [[1,2,4,4],[2],[4]]=>[4,2,1,3,5,6]=>00011 [[1,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>00000 [[1,3,3,3],[2],[4]]=>[6,2,1,3,4,5]=>00000 [[1,3,3,4],[2],[3]]=>[3,2,1,4,5,6]=>00111 [[1,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>00001 [[1,3,3,4],[2],[4]]=>[5,2,1,3,4,6]=>00001 [[1,3,4,4],[2],[3]]=>[3,2,1,4,5,6]=>00111 [[1,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>00011 [[1,3,4,4],[2],[4]]=>[4,2,1,3,5,6]=>00011 [[1,4,4,4],[2],[3]]=>[3,2,1,4,5,6]=>00111 [[1,4,4,4],[2],[4]]=>[3,2,1,4,5,6]=>00111 [[1,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>00000 [[1,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>00001 [[1,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>00011 [[1,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>00111 [[2,2,2,2],[3],[4]]=>[6,5,1,2,3,4]=>00000 [[2,2,2,3],[3],[4]]=>[6,4,1,2,3,5]=>00000 [[2,2,2,4],[3],[4]]=>[5,4,1,2,3,6]=>00001 [[2,2,3,3],[3],[4]]=>[6,3,1,2,4,5]=>00000 [[2,2,3,4],[3],[4]]=>[5,3,1,2,4,6]=>00001 [[2,2,4,4],[3],[4]]=>[4,3,1,2,5,6]=>00011 [[2,3,3,3],[3],[4]]=>[6,2,1,3,4,5]=>00000 [[2,3,3,4],[3],[4]]=>[5,2,1,3,4,6]=>00001 [[2,3,4,4],[3],[4]]=>[4,2,1,3,5,6]=>00011 [[2,4,4,4],[3],[4]]=>[3,2,1,4,5,6]=>00111 [[1,1,1],[2,2,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[2,3,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[2,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[3,3,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[3,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,2],[2,2,4]]=>[3,4,6,1,2,5]=>00000 [[1,1,2],[2,3,4]]=>[3,5,6,1,2,4]=>00000 [[1,1,3],[2,2,4]]=>[3,4,6,1,2,5]=>00000 [[1,1,2],[2,4,4]]=>[3,5,6,1,2,4]=>00000 [[1,1,2],[3,3,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,3],[2,3,4]]=>[3,4,6,1,2,5]=>00000 [[1,1,2],[3,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,3],[2,4,4]]=>[3,5,6,1,2,4]=>00000 [[1,1,2],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,3],[3,3,4]]=>[3,4,6,1,2,5]=>00000 [[1,1,3],[3,4,4]]=>[3,5,6,1,2,4]=>00000 [[1,1,3],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,2,2],[2,3,4]]=>[2,5,6,1,3,4]=>00000 [[1,2,2],[2,4,4]]=>[2,5,6,1,3,4]=>00000 [[1,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>00000 [[1,2,3],[2,3,4]]=>[2,4,6,1,3,5]=>00000 [[1,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,2,3],[2,4,4]]=>[2,5,6,1,3,4]=>00000 [[1,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>00000 [[1,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>00000 [[1,3,3],[2,4,4]]=>[2,5,6,1,3,4]=>00000 [[1,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>00000 [[1,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[2,2,2],[3,3,4]]=>[4,5,6,1,2,3]=>00000 [[2,2,2],[3,4,4]]=>[4,5,6,1,2,3]=>00000 [[2,2,2],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[2,2,3],[3,3,4]]=>[3,4,6,1,2,5]=>00000 [[2,2,3],[3,4,4]]=>[3,5,6,1,2,4]=>00000 [[2,2,3],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[2,3,3],[3,4,4]]=>[2,5,6,1,3,4]=>00000 [[2,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[3,3,3],[4,4,4]]=>[4,5,6,1,2,3]=>00000 [[1,1,1],[2,2],[4]]=>[6,4,5,1,2,3]=>00000 [[1,1,1],[2,3],[4]]=>[6,4,5,1,2,3]=>00000 [[1,1,1],[2,4],[3]]=>[5,4,6,1,2,3]=>00000 [[1,1,1],[2,4],[4]]=>[5,4,6,1,2,3]=>00000 [[1,1,1],[3,3],[4]]=>[6,4,5,1,2,3]=>00000 [[1,1,1],[3,4],[4]]=>[5,4,6,1,2,3]=>00000 [[1,1,2],[2,2],[4]]=>[6,3,4,1,2,5]=>00000 [[1,1,2],[2,3],[4]]=>[6,3,5,1,2,4]=>00000 [[1,1,2],[2,4],[3]]=>[5,3,6,1,2,4]=>00000 [[1,1,3],[2,2],[4]]=>[6,3,4,1,2,5]=>00000 [[1,1,4],[2,2],[3]]=>[5,3,4,1,2,6]=>00001 [[1,1,2],[2,4],[4]]=>[5,3,6,1,2,4]=>00000 [[1,1,4],[2,2],[4]]=>[5,3,4,1,2,6]=>00001 [[1,1,2],[3,3],[4]]=>[6,4,5,1,2,3]=>00000 [[1,1,3],[2,3],[4]]=>[6,3,4,1,2,5]=>00000 [[1,1,3],[2,4],[3]]=>[4,3,6,1,2,5]=>00000 [[1,1,4],[2,3],[3]]=>[4,3,5,1,2,6]=>00001 [[1,1,2],[3,4],[4]]=>[5,4,6,1,2,3]=>00000 [[1,1,3],[2,4],[4]]=>[5,3,6,1,2,4]=>00000 [[1,1,4],[2,3],[4]]=>[5,3,4,1,2,6]=>00001 [[1,1,4],[2,4],[3]]=>[4,3,5,1,2,6]=>00001 [[1,1,4],[2,4],[4]]=>[4,3,5,1,2,6]=>00001 [[1,1,3],[3,3],[4]]=>[6,3,4,1,2,5]=>00000 [[1,1,3],[3,4],[4]]=>[5,3,6,1,2,4]=>00000 [[1,1,4],[3,3],[4]]=>[5,3,4,1,2,6]=>00001 [[1,1,4],[3,4],[4]]=>[4,3,5,1,2,6]=>00001 [[1,2,2],[2,3],[4]]=>[6,2,5,1,3,4]=>00000 [[1,2,2],[2,4],[3]]=>[5,2,6,1,3,4]=>00000 [[1,2,2],[2,4],[4]]=>[5,2,6,1,3,4]=>00000 [[1,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>00000 [[1,2,3],[2,3],[4]]=>[6,2,4,1,3,5]=>00000 [[1,2,3],[2,4],[3]]=>[4,2,6,1,3,5]=>00000 [[1,2,4],[2,3],[3]]=>[4,2,5,1,3,6]=>00001 [[1,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>00000 [[1,2,3],[2,4],[4]]=>[5,2,6,1,3,4]=>00000 [[1,2,4],[2,3],[4]]=>[5,2,4,1,3,6]=>00001 [[1,2,4],[2,4],[3]]=>[4,2,5,1,3,6]=>00001 [[1,2,4],[2,4],[4]]=>[4,2,5,1,3,6]=>00001 [[1,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>00000 [[1,3,3],[2,4],[3]]=>[3,2,6,1,4,5]=>00000 [[1,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>00000 [[1,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>00001 [[1,3,3],[2,4],[4]]=>[5,2,6,1,3,4]=>00000 [[1,3,4],[2,4],[3]]=>[3,2,5,1,4,6]=>00001 [[1,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>00001 [[1,3,4],[2,4],[4]]=>[4,2,5,1,3,6]=>00001 [[1,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>00000 [[1,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>00001 [[2,2,2],[3,3],[4]]=>[6,4,5,1,2,3]=>00000 [[2,2,2],[3,4],[4]]=>[5,4,6,1,2,3]=>00000 [[2,2,3],[3,3],[4]]=>[6,3,4,1,2,5]=>00000 [[2,2,3],[3,4],[4]]=>[5,3,6,1,2,4]=>00000 [[2,2,4],[3,3],[4]]=>[5,3,4,1,2,6]=>00001 [[2,2,4],[3,4],[4]]=>[4,3,5,1,2,6]=>00001 [[2,3,3],[3,4],[4]]=>[5,2,6,1,3,4]=>00000 [[2,3,4],[3,4],[4]]=>[4,2,5,1,3,6]=>00001 [[1,1,1],[2],[3],[4]]=>[6,5,4,1,2,3]=>00000 [[1,1,2],[2],[3],[4]]=>[6,5,3,1,2,4]=>00000 [[1,1,3],[2],[3],[4]]=>[6,4,3,1,2,5]=>00000 [[1,1,4],[2],[3],[4]]=>[5,4,3,1,2,6]=>00001 [[1,2,2],[2],[3],[4]]=>[6,5,2,1,3,4]=>00000 [[1,2,3],[2],[3],[4]]=>[6,4,2,1,3,5]=>00000 [[1,2,4],[2],[3],[4]]=>[5,4,2,1,3,6]=>00001 [[1,3,3],[2],[3],[4]]=>[6,3,2,1,4,5]=>00000 [[1,3,4],[2],[3],[4]]=>[5,3,2,1,4,6]=>00001 [[1,4,4],[2],[3],[4]]=>[4,3,2,1,5,6]=>00011 [[1,1],[2,2],[3,4]]=>[5,6,3,4,1,2]=>00000 [[1,1],[2,2],[4,4]]=>[5,6,3,4,1,2]=>00000 [[1,1],[2,3],[3,4]]=>[4,6,3,5,1,2]=>00000 [[1,1],[2,3],[4,4]]=>[5,6,3,4,1,2]=>00000 [[1,1],[3,3],[4,4]]=>[5,6,3,4,1,2]=>00000 [[1,2],[2,3],[3,4]]=>[4,6,2,5,1,3]=>00000 [[1,2],[2,3],[4,4]]=>[5,6,2,4,1,3]=>00000 [[1,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>00000 [[2,2],[3,3],[4,4]]=>[5,6,3,4,1,2]=>00000 [[1,1],[2,2],[3],[4]]=>[6,5,3,4,1,2]=>00000 [[1,1],[2,3],[3],[4]]=>[6,4,3,5,1,2]=>00000 [[1,1],[2,4],[3],[4]]=>[5,4,3,6,1,2]=>00000 [[1,2],[2,3],[3],[4]]=>[6,4,2,5,1,3]=>00000 [[1,2],[2,4],[3],[4]]=>[5,4,2,6,1,3]=>00000 [[1,3],[2,4],[3],[4]]=>[5,3,2,6,1,4]=>00000 [[1,1,1,1,1,1,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,1,2,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,1,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,2,2,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,2,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,2,2,2,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,2,2,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,2,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[2,2,2,2,2,2,3]]=>[1,2,3,4,5,6,7]=>111111 [[2,2,2,2,2,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[2,2,2,2,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[2,2,2,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[2,2,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[2,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[3,3,3,3,3,3,3]]=>[1,2,3,4,5,6,7]=>111111 [[1,1,1,1,1,1],[3]]=>[7,1,2,3,4,5,6]=>000000 [[1,1,1,1,1,2],[3]]=>[7,1,2,3,4,5,6]=>000000 [[1,1,1,1,1,3],[2]]=>[6,1,2,3,4,5,7]=>000001 [[1,1,1,1,1,3],[3]]=>[6,1,2,3,4,5,7]=>000001 [[1,1,1,1,2,2],[3]]=>[7,1,2,3,4,5,6]=>000000 [[1,1,1,1,2,3],[2]]=>[5,1,2,3,4,6,7]=>000011 [[1,1,1,1,2,3],[3]]=>[6,1,2,3,4,5,7]=>000001 [[1,1,1,1,3,3],[2]]=>[5,1,2,3,4,6,7]=>000011 [[1,1,1,1,3,3],[3]]=>[5,1,2,3,4,6,7]=>000011 [[1,1,1,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>000000 [[1,1,1,2,2,3],[2]]=>[4,1,2,3,5,6,7]=>000111 [[1,1,1,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>000001 [[1,1,1,2,3,3],[2]]=>[4,1,2,3,5,6,7]=>000111 [[1,1,1,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>000011 [[1,1,1,3,3,3],[2]]=>[4,1,2,3,5,6,7]=>000111 [[1,1,1,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>000111 [[1,1,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>000000 [[1,1,2,2,2,3],[2]]=>[3,1,2,4,5,6,7]=>001111 [[1,1,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>000001 [[1,1,2,2,3,3],[2]]=>[3,1,2,4,5,6,7]=>001111 [[1,1,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>000011 [[1,1,2,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>001111 [[1,1,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>000111 [[1,1,3,3,3,3],[2]]=>[3,1,2,4,5,6,7]=>001111 [[1,1,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>001111 [[1,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>000000 [[1,2,2,2,2,3],[2]]=>[2,1,3,4,5,6,7]=>011111 [[1,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>000001 [[1,2,2,2,3,3],[2]]=>[2,1,3,4,5,6,7]=>011111 [[1,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>000011 [[1,2,2,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>011111 [[1,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>000111 [[1,2,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>011111 [[1,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>001111 [[1,3,3,3,3,3],[2]]=>[2,1,3,4,5,6,7]=>011111 [[1,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>011111 [[2,2,2,2,2,2],[3]]=>[7,1,2,3,4,5,6]=>000000 [[2,2,2,2,2,3],[3]]=>[6,1,2,3,4,5,7]=>000001 [[2,2,2,2,3,3],[3]]=>[5,1,2,3,4,6,7]=>000011 [[2,2,2,3,3,3],[3]]=>[4,1,2,3,5,6,7]=>000111 [[2,2,3,3,3,3],[3]]=>[3,1,2,4,5,6,7]=>001111 [[2,3,3,3,3,3],[3]]=>[2,1,3,4,5,6,7]=>011111 [[1,1,1,1,1],[2,3]]=>[6,7,1,2,3,4,5]=>000000 [[1,1,1,1,1],[3,3]]=>[6,7,1,2,3,4,5]=>000000 [[1,1,1,1,2],[2,3]]=>[5,7,1,2,3,4,6]=>000000 [[1,1,1,1,3],[2,2]]=>[5,6,1,2,3,4,7]=>000001 [[1,1,1,1,2],[3,3]]=>[6,7,1,2,3,4,5]=>000000 [[1,1,1,1,3],[2,3]]=>[5,6,1,2,3,4,7]=>000001 [[1,1,1,1,3],[3,3]]=>[5,6,1,2,3,4,7]=>000001 [[1,1,1,2,2],[2,3]]=>[4,7,1,2,3,5,6]=>000000 [[1,1,1,2,3],[2,2]]=>[4,5,1,2,3,6,7]=>000011 [[1,1,1,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>000000 [[1,1,1,2,3],[2,3]]=>[4,6,1,2,3,5,7]=>000001 [[1,1,1,3,3],[2,2]]=>[4,5,1,2,3,6,7]=>000011 [[1,1,1,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>000001 [[1,1,1,3,3],[2,3]]=>[4,5,1,2,3,6,7]=>000011 [[1,1,1,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>000011 [[1,1,2,2,2],[2,3]]=>[3,7,1,2,4,5,6]=>000000 [[1,1,2,2,3],[2,2]]=>[3,4,1,2,5,6,7]=>000111 [[1,1,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>000000 [[1,1,2,2,3],[2,3]]=>[3,6,1,2,4,5,7]=>000001 [[1,1,2,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>000111 [[1,1,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>000001 [[1,1,2,3,3],[2,3]]=>[3,5,1,2,4,6,7]=>000011 [[1,1,3,3,3],[2,2]]=>[3,4,1,2,5,6,7]=>000111 [[1,1,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>000011 [[1,1,3,3,3],[2,3]]=>[3,4,1,2,5,6,7]=>000111 [[1,1,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>000111 [[1,2,2,2,2],[2,3]]=>[2,7,1,3,4,5,6]=>000000 [[1,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>000000 [[1,2,2,2,3],[2,3]]=>[2,6,1,3,4,5,7]=>000001 [[1,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>000001 [[1,2,2,3,3],[2,3]]=>[2,5,1,3,4,6,7]=>000011 [[1,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>000011 [[1,2,3,3,3],[2,3]]=>[2,4,1,3,5,6,7]=>000111 [[1,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>000111 [[2,2,2,2,2],[3,3]]=>[6,7,1,2,3,4,5]=>000000 [[2,2,2,2,3],[3,3]]=>[5,6,1,2,3,4,7]=>000001 [[2,2,2,3,3],[3,3]]=>[4,5,1,2,3,6,7]=>000011 [[2,2,3,3,3],[3,3]]=>[3,4,1,2,5,6,7]=>000111 [[1,1,1,1,1],[2],[3]]=>[7,6,1,2,3,4,5]=>000000 [[1,1,1,1,2],[2],[3]]=>[7,5,1,2,3,4,6]=>000000 [[1,1,1,1,3],[2],[3]]=>[6,5,1,2,3,4,7]=>000001 [[1,1,1,2,2],[2],[3]]=>[7,4,1,2,3,5,6]=>000000 [[1,1,1,2,3],[2],[3]]=>[6,4,1,2,3,5,7]=>000001 [[1,1,1,3,3],[2],[3]]=>[5,4,1,2,3,6,7]=>000011 [[1,1,2,2,2],[2],[3]]=>[7,3,1,2,4,5,6]=>000000 [[1,1,2,2,3],[2],[3]]=>[6,3,1,2,4,5,7]=>000001 [[1,1,2,3,3],[2],[3]]=>[5,3,1,2,4,6,7]=>000011 [[1,1,3,3,3],[2],[3]]=>[4,3,1,2,5,6,7]=>000111 [[1,2,2,2,2],[2],[3]]=>[7,2,1,3,4,5,6]=>000000 [[1,2,2,2,3],[2],[3]]=>[6,2,1,3,4,5,7]=>000001 [[1,2,2,3,3],[2],[3]]=>[5,2,1,3,4,6,7]=>000011 [[1,2,3,3,3],[2],[3]]=>[4,2,1,3,5,6,7]=>000111 [[1,3,3,3,3],[2],[3]]=>[3,2,1,4,5,6,7]=>001111 [[1,1,1,1],[2,2,3]]=>[5,6,7,1,2,3,4]=>000000 [[1,1,1,1],[2,3,3]]=>[5,6,7,1,2,3,4]=>000000 [[1,1,1,1],[3,3,3]]=>[5,6,7,1,2,3,4]=>000000 [[1,1,1,2],[2,2,3]]=>[4,5,7,1,2,3,6]=>000000 [[1,1,1,3],[2,2,2]]=>[4,5,6,1,2,3,7]=>000001 [[1,1,1,2],[2,3,3]]=>[4,6,7,1,2,3,5]=>000000 [[1,1,1,3],[2,2,3]]=>[4,5,6,1,2,3,7]=>000001 [[1,1,1,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>000000 [[1,1,1,3],[2,3,3]]=>[4,5,6,1,2,3,7]=>000001 [[1,1,1,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>000001 [[1,1,2,2],[2,2,3]]=>[3,4,7,1,2,5,6]=>000000 [[1,1,2,2],[2,3,3]]=>[3,6,7,1,2,4,5]=>000000 [[1,1,2,3],[2,2,3]]=>[3,4,6,1,2,5,7]=>000001 [[1,1,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>000000 [[1,1,2,3],[2,3,3]]=>[3,5,6,1,2,4,7]=>000001 [[1,1,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>000001 [[1,2,2,2],[2,3,3]]=>[2,6,7,1,3,4,5]=>000000 [[1,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>000000 [[1,2,2,3],[2,3,3]]=>[2,5,6,1,3,4,7]=>000001 [[1,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>000001 [[2,2,2,2],[3,3,3]]=>[5,6,7,1,2,3,4]=>000000 [[2,2,2,3],[3,3,3]]=>[4,5,6,1,2,3,7]=>000001 [[1,1,1,1],[2,2],[3]]=>[7,5,6,1,2,3,4]=>000000 [[1,1,1,1],[2,3],[3]]=>[6,5,7,1,2,3,4]=>000000 [[1,1,1,2],[2,2],[3]]=>[7,4,5,1,2,3,6]=>000000 [[1,1,1,2],[2,3],[3]]=>[6,4,7,1,2,3,5]=>000000 [[1,1,1,3],[2,2],[3]]=>[6,4,5,1,2,3,7]=>000001 [[1,1,1,3],[2,3],[3]]=>[5,4,6,1,2,3,7]=>000001 [[1,1,2,2],[2,2],[3]]=>[7,3,4,1,2,5,6]=>000000 [[1,1,2,2],[2,3],[3]]=>[6,3,7,1,2,4,5]=>000000 [[1,1,2,3],[2,2],[3]]=>[6,3,4,1,2,5,7]=>000001 [[1,1,2,3],[2,3],[3]]=>[5,3,6,1,2,4,7]=>000001 [[1,1,3,3],[2,2],[3]]=>[5,3,4,1,2,6,7]=>000011 [[1,1,3,3],[2,3],[3]]=>[4,3,5,1,2,6,7]=>000011 [[1,2,2,2],[2,3],[3]]=>[6,2,7,1,3,4,5]=>000000 [[1,2,2,3],[2,3],[3]]=>[5,2,6,1,3,4,7]=>000001 [[1,2,3,3],[2,3],[3]]=>[4,2,5,1,3,6,7]=>000011 [[1,1,1],[2,2,2],[3]]=>[7,4,5,6,1,2,3]=>000000 [[1,1,1],[2,2,3],[3]]=>[6,4,5,7,1,2,3]=>000000 [[1,1,1],[2,3,3],[3]]=>[5,4,6,7,1,2,3]=>000000 [[1,1,2],[2,2,3],[3]]=>[6,3,4,7,1,2,5]=>000000 [[1,1,2],[2,3,3],[3]]=>[5,3,6,7,1,2,4]=>000000 [[1,2,2],[2,3,3],[3]]=>[5,2,6,7,1,3,4]=>000000 [[1,1,1],[2,2],[3,3]]=>[6,7,4,5,1,2,3]=>000000 [[1,1,2],[2,2],[3,3]]=>[6,7,3,4,1,2,5]=>000000 [[1,1,3],[2,2],[3,3]]=>[5,6,3,4,1,2,7]=>000001 [[1,1,1,1,1,1,1,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[1,1,1,1,1,1,2,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[1,1,1,1,1,2,2,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[1,1,1,1,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[1,1,1,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[1,1,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[1,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[2,2,2,2,2,2,2,2]]=>[1,2,3,4,5,6,7,8]=>1111111 [[1,1,1,1,1,1,2],[2]]=>[7,1,2,3,4,5,6,8]=>0000001 [[1,1,1,1,2,2,2],[2]]=>[5,1,2,3,4,6,7,8]=>0000111 [[1,1,1,2,2,2,2],[2]]=>[4,1,2,3,5,6,7,8]=>0001111 [[1,1,2,2,2,2,2],[2]]=>[3,1,2,4,5,6,7,8]=>0011111 [[1,2,2,2,2,2,2],[2]]=>[2,1,3,4,5,6,7,8]=>0111111 [[1,1,1,1,1,1],[2,2]]=>[7,8,1,2,3,4,5,6]=>0000000 [[1,1,1,1,1,2],[2,2]]=>[6,7,1,2,3,4,5,8]=>0000001 [[1,1,1,2,2,2],[2,2]]=>[4,5,1,2,3,6,7,8]=>0000111 [[1,1,2,2,2,2],[2,2]]=>[3,4,1,2,5,6,7,8]=>0001111 [[1,1,1,1,1],[2,2,2]]=>[6,7,8,1,2,3,4,5]=>0000000 [[1,1,1,1,2],[2,2,2]]=>[5,6,7,1,2,3,4,8]=>0000001 [[1,1,1,1],[2,2,2,2]]=>[5,6,7,8,1,2,3,4]=>0000000 [[1]]=>[1]=> [[2]]=>[1]=> [[1,1]]=>[1,2]=>1 [[3]]=>[1]=> [[1,1,1]]=>[1,2,3]=>11 [[4]]=>[1]=> [[1,1,1,1]]=>[1,2,3,4]=>111 [[5]]=>[1]=> [[1,1,1,1,1]]=>[1,2,3,4,5]=>1111 [[6]]=>[1]=>