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Identifier
Values
=>
Cc0009;cc-rep
{{1}}=>1 {{1,2}}=>1 {{1},{2}}=>1 {{1,2,3}}=>1 {{1,2},{3}}=>3 {{1,3},{2}}=>3 {{1},{2,3}}=>3 {{1},{2},{3}}=>1 {{1,2,3,4}}=>1 {{1,2,3},{4}}=>4 {{1,2,4},{3}}=>4 {{1,2},{3,4}}=>2 {{1,2},{3},{4}}=>4 {{1,3,4},{2}}=>4 {{1,3},{2,4}}=>1 {{1,3},{2},{4}}=>2 {{1,4},{2,3}}=>2 {{1},{2,3,4}}=>4 {{1},{2,3},{4}}=>4 {{1,4},{2},{3}}=>4 {{1},{2,4},{3}}=>2 {{1},{2},{3,4}}=>4 {{1},{2},{3},{4}}=>1 {{1,2,3,4,5}}=>1 {{1,2,3,4},{5}}=>5 {{1,2,3,5},{4}}=>5 {{1,2,3},{4,5}}=>5 {{1,2,3},{4},{5}}=>5 {{1,2,4,5},{3}}=>5 {{1,2,4},{3,5}}=>5 {{1,2,4},{3},{5}}=>5 {{1,2,5},{3,4}}=>5 {{1,2},{3,4,5}}=>5 {{1,2},{3,4},{5}}=>5 {{1,2,5},{3},{4}}=>5 {{1,2},{3,5},{4}}=>5 {{1,2},{3},{4,5}}=>5 {{1,2},{3},{4},{5}}=>5 {{1,3,4,5},{2}}=>5 {{1,3,4},{2,5}}=>5 {{1,3,4},{2},{5}}=>5 {{1,3,5},{2,4}}=>5 {{1,3},{2,4,5}}=>5 {{1,3},{2,4},{5}}=>5 {{1,3,5},{2},{4}}=>5 {{1,3},{2,5},{4}}=>5 {{1,3},{2},{4,5}}=>5 {{1,3},{2},{4},{5}}=>5 {{1,4,5},{2,3}}=>5 {{1,4},{2,3,5}}=>5 {{1,4},{2,3},{5}}=>5 {{1,5},{2,3,4}}=>5 {{1},{2,3,4,5}}=>5 {{1},{2,3,4},{5}}=>5 {{1,5},{2,3},{4}}=>5 {{1},{2,3,5},{4}}=>5 {{1},{2,3},{4,5}}=>5 {{1},{2,3},{4},{5}}=>5 {{1,4,5},{2},{3}}=>5 {{1,4},{2,5},{3}}=>5 {{1,4},{2},{3,5}}=>5 {{1,4},{2},{3},{5}}=>5 {{1,5},{2,4},{3}}=>5 {{1},{2,4,5},{3}}=>5 {{1},{2,4},{3,5}}=>5 {{1},{2,4},{3},{5}}=>5 {{1,5},{2},{3,4}}=>5 {{1},{2,5},{3,4}}=>5 {{1},{2},{3,4,5}}=>5 {{1},{2},{3,4},{5}}=>5 {{1,5},{2},{3},{4}}=>5 {{1},{2,5},{3},{4}}=>5 {{1},{2},{3,5},{4}}=>5 {{1},{2},{3},{4,5}}=>5 {{1},{2},{3},{4},{5}}=>1 {{1,2,3,4,5,6}}=>1 {{1,2,3,4,5},{6}}=>6 {{1,2,3,4,6},{5}}=>6 {{1,2,3,4},{5,6}}=>6 {{1,2,3,4},{5},{6}}=>6 {{1,2,3,5,6},{4}}=>6 {{1,2,3,5},{4,6}}=>6 {{1,2,3,5},{4},{6}}=>6 {{1,2,3,6},{4,5}}=>6 {{1,2,3},{4,5,6}}=>3 {{1,2,3},{4,5},{6}}=>6 {{1,2,3,6},{4},{5}}=>6 {{1,2,3},{4,6},{5}}=>6 {{1,2,3},{4},{5,6}}=>6 {{1,2,3},{4},{5},{6}}=>6 {{1,2,4,5,6},{3}}=>6 {{1,2,4,5},{3,6}}=>3 {{1,2,4,5},{3},{6}}=>3 {{1,2,4,6},{3,5}}=>6 {{1,2,4},{3,5,6}}=>6 {{1,2,4},{3,5},{6}}=>6 {{1,2,4,6},{3},{5}}=>6 {{1,2,4},{3,6},{5}}=>6 {{1,2,4},{3},{5,6}}=>6 {{1,2,4},{3},{5},{6}}=>6 {{1,2,5,6},{3,4}}=>6 {{1,2,5},{3,4,6}}=>6 {{1,2,5},{3,4},{6}}=>6 {{1,2,6},{3,4,5}}=>3 {{1,2},{3,4,5,6}}=>6 {{1,2},{3,4,5},{6}}=>6 {{1,2,6},{3,4},{5}}=>6 {{1,2},{3,4,6},{5}}=>6 {{1,2},{3,4},{5,6}}=>2 {{1,2},{3,4},{5},{6}}=>6 {{1,2,5,6},{3},{4}}=>6 {{1,2,5},{3,6},{4}}=>6 {{1,2,5},{3},{4,6}}=>6 {{1,2,5},{3},{4},{6}}=>6 {{1,2,6},{3,5},{4}}=>6 {{1,2},{3,5,6},{4}}=>6 {{1,2},{3,5},{4,6}}=>6 {{1,2},{3,5},{4},{6}}=>6 {{1,2,6},{3},{4,5}}=>6 {{1,2},{3,6},{4,5}}=>3 {{1,2},{3},{4,5,6}}=>6 {{1,2},{3},{4,5},{6}}=>3 {{1,2,6},{3},{4},{5}}=>6 {{1,2},{3,6},{4},{5}}=>6 {{1,2},{3},{4,6},{5}}=>6 {{1,2},{3},{4},{5,6}}=>6 {{1,2},{3},{4},{5},{6}}=>6 {{1,3,4,5,6},{2}}=>6 {{1,3,4,5},{2,6}}=>6 {{1,3,4,5},{2},{6}}=>6 {{1,3,4,6},{2,5}}=>3 {{1,3,4},{2,5,6}}=>6 {{1,3,4},{2,5},{6}}=>6 {{1,3,4,6},{2},{5}}=>3 {{1,3,4},{2,6},{5}}=>6 {{1,3,4},{2},{5,6}}=>6 {{1,3,4},{2},{5},{6}}=>6 {{1,3,5,6},{2,4}}=>6 {{1,3,5},{2,4,6}}=>1 {{1,3,5},{2,4},{6}}=>6 {{1,3,6},{2,4,5}}=>6 {{1,3},{2,4,5,6}}=>6 {{1,3},{2,4,5},{6}}=>6 {{1,3,6},{2,4},{5}}=>6 {{1,3},{2,4,6},{5}}=>6 {{1,3},{2,4},{5,6}}=>6 {{1,3},{2,4},{5},{6}}=>6 {{1,3,5,6},{2},{4}}=>6 {{1,3,5},{2,6},{4}}=>6 {{1,3,5},{2},{4,6}}=>6 {{1,3,5},{2},{4},{6}}=>2 {{1,3,6},{2,5},{4}}=>6 {{1,3},{2,5,6},{4}}=>6 {{1,3},{2,5},{4,6}}=>3 {{1,3},{2,5},{4},{6}}=>6 {{1,3,6},{2},{4,5}}=>6 {{1,3},{2,6},{4,5}}=>6 {{1,3},{2},{4,5,6}}=>6 {{1,3},{2},{4,5},{6}}=>6 {{1,3,6},{2},{4},{5}}=>6 {{1,3},{2,6},{4},{5}}=>6 {{1,3},{2},{4,6},{5}}=>3 {{1,3},{2},{4},{5,6}}=>6 {{1,3},{2},{4},{5},{6}}=>6 {{1,4,5,6},{2,3}}=>6 {{1,4,5},{2,3,6}}=>6 {{1,4,5},{2,3},{6}}=>6 {{1,4,6},{2,3,5}}=>6 {{1,4},{2,3,5,6}}=>3 {{1,4},{2,3,5},{6}}=>6 {{1,4,6},{2,3},{5}}=>6 {{1,4},{2,3,6},{5}}=>6 {{1,4},{2,3},{5,6}}=>3 {{1,4},{2,3},{5},{6}}=>6 {{1,5,6},{2,3,4}}=>3 {{1,5},{2,3,4,6}}=>6 {{1,5},{2,3,4},{6}}=>6 {{1,6},{2,3,4,5}}=>6 {{1},{2,3,4,5,6}}=>6 {{1},{2,3,4,5},{6}}=>6 {{1,6},{2,3,4},{5}}=>6 {{1},{2,3,4,6},{5}}=>6 {{1},{2,3,4},{5,6}}=>6 {{1},{2,3,4},{5},{6}}=>6 {{1,5,6},{2,3},{4}}=>6 {{1,5},{2,3,6},{4}}=>6 {{1,5},{2,3},{4,6}}=>6 {{1,5},{2,3},{4},{6}}=>6 {{1,6},{2,3,5},{4}}=>6 {{1},{2,3,5,6},{4}}=>3 {{1},{2,3,5},{4,6}}=>6 {{1},{2,3,5},{4},{6}}=>6 {{1,6},{2,3},{4,5}}=>2 {{1},{2,3,6},{4,5}}=>6 {{1},{2,3},{4,5,6}}=>6 {{1},{2,3},{4,5},{6}}=>6 {{1,6},{2,3},{4},{5}}=>6 {{1},{2,3,6},{4},{5}}=>6 {{1},{2,3},{4,6},{5}}=>6 {{1},{2,3},{4},{5,6}}=>3 {{1},{2,3},{4},{5},{6}}=>6 {{1,4,5,6},{2},{3}}=>6 {{1,4,5},{2,6},{3}}=>6 {{1,4,5},{2},{3,6}}=>6 {{1,4,5},{2},{3},{6}}=>6 {{1,4,6},{2,5},{3}}=>6 {{1,4},{2,5,6},{3}}=>6 {{1,4},{2,5},{3,6}}=>1 {{1,4},{2,5},{3},{6}}=>3 {{1,4,6},{2},{3,5}}=>6 {{1,4},{2,6},{3,5}}=>3 {{1,4},{2},{3,5,6}}=>6 {{1,4},{2},{3,5},{6}}=>6 {{1,4,6},{2},{3},{5}}=>6 {{1,4},{2,6},{3},{5}}=>6 {{1,4},{2},{3,6},{5}}=>3 {{1,4},{2},{3},{5,6}}=>6 {{1,4},{2},{3},{5},{6}}=>3 {{1,5,6},{2,4},{3}}=>6 {{1,5},{2,4,6},{3}}=>6 {{1,5},{2,4},{3,6}}=>3 {{1,5},{2,4},{3},{6}}=>3 {{1,6},{2,4,5},{3}}=>6 {{1},{2,4,5,6},{3}}=>6 {{1},{2,4,5},{3,6}}=>6 {{1},{2,4,5},{3},{6}}=>6 {{1,6},{2,4},{3,5}}=>6 {{1},{2,4,6},{3,5}}=>6 {{1},{2,4},{3,5,6}}=>6 {{1},{2,4},{3,5},{6}}=>6 {{1,6},{2,4},{3},{5}}=>6 {{1},{2,4,6},{3},{5}}=>2 {{1},{2,4},{3,6},{5}}=>6 {{1},{2,4},{3},{5,6}}=>6 {{1},{2,4},{3},{5},{6}}=>6 {{1,5,6},{2},{3,4}}=>6 {{1,5},{2,6},{3,4}}=>6 {{1,5},{2},{3,4,6}}=>6 {{1,5},{2},{3,4},{6}}=>6 {{1,6},{2,5},{3,4}}=>3 {{1},{2,5,6},{3,4}}=>6 {{1},{2,5},{3,4,6}}=>6 {{1},{2,5},{3,4},{6}}=>6 {{1,6},{2},{3,4,5}}=>6 {{1},{2,6},{3,4,5}}=>6 {{1},{2},{3,4,5,6}}=>6 {{1},{2},{3,4,5},{6}}=>6 {{1,6},{2},{3,4},{5}}=>3 {{1},{2,6},{3,4},{5}}=>6 {{1},{2},{3,4,6},{5}}=>6 {{1},{2},{3,4},{5,6}}=>6 {{1},{2},{3,4},{5},{6}}=>6 {{1,5,6},{2},{3},{4}}=>6 {{1,5},{2,6},{3},{4}}=>6 {{1,5},{2},{3,6},{4}}=>6 {{1,5},{2},{3},{4,6}}=>6 {{1,5},{2},{3},{4},{6}}=>6 {{1,6},{2,5},{3},{4}}=>6 {{1},{2,5,6},{3},{4}}=>6 {{1},{2,5},{3,6},{4}}=>3 {{1},{2,5},{3},{4,6}}=>6 {{1},{2,5},{3},{4},{6}}=>3 {{1,6},{2},{3,5},{4}}=>6 {{1},{2,6},{3,5},{4}}=>3 {{1},{2},{3,5,6},{4}}=>6 {{1},{2},{3,5},{4,6}}=>6 {{1},{2},{3,5},{4},{6}}=>6 {{1,6},{2},{3},{4,5}}=>6 {{1},{2,6},{3},{4,5}}=>6 {{1},{2},{3,6},{4,5}}=>6 {{1},{2},{3},{4,5,6}}=>6 {{1},{2},{3},{4,5},{6}}=>6 {{1,6},{2},{3},{4},{5}}=>6 {{1},{2,6},{3},{4},{5}}=>6 {{1},{2},{3,6},{4},{5}}=>3 {{1},{2},{3},{4,6},{5}}=>6 {{1},{2},{3},{4},{5,6}}=>6 {{1},{2},{3},{4},{5},{6}}=>1 {{1,2,3,4,5,6},{7}}=>7 {{1,2,3,4,5},{6,7}}=>7 {{1,2,3,4,6},{5},{7}}=>7 {{1,2,3,5,6},{4},{7}}=>7 {{1,2,3,6},{4,5},{7}}=>7 {{1,2,3,6},{4},{5},{7}}=>7 {{1,2,4,5,6},{3},{7}}=>7 {{1,2,4,6},{3},{5},{7}}=>7 {{1,2,5,6},{3,4},{7}}=>7 {{1,2,6},{3,4,5},{7}}=>7 {{1,2},{3,4,5,6,7}}=>7 {{1,2,6},{3,5},{4},{7}}=>7 {{1,3,4,5,6},{2},{7}}=>7 {{1,6},{2,3,4,5},{7}}=>7 {{1},{2,3,4,5,6,7}}=>7 {{1},{2,3,4,5,7},{6}}=>7 {{1},{2,3,4,6,7},{5}}=>7 {{1},{2,3,4,7},{5,6}}=>7 {{1},{2,3,4,7},{5},{6}}=>7 {{1},{2,3,5,6,7},{4}}=>7 {{1},{2,3,5,7},{4},{6}}=>7 {{1},{2,3,6,7},{4,5}}=>7 {{1},{2,3,7},{4,5,6}}=>7 {{1},{2,3,7},{4,6},{5}}=>7 {{1},{2,4,5,6,7},{3}}=>7 {{1},{2,7},{3,4,5,6}}=>7 {{1,2},{3,4},{5,6},{7,8}}=>2 {{1,3},{2,4},{5,6},{7,8}}=>8 {{1,4},{2,3},{5,6},{7,8}}=>8 {{1,5},{2,3},{4,6},{7,8}}=>8 {{1,6},{2,3},{4,5},{7,8}}=>8 {{1,7},{2,3},{4,5},{6,8}}=>8 {{1,8},{2,3},{4,5},{6,7}}=>2 {{1,8},{2,4},{3,5},{6,7}}=>8 {{1,7},{2,4},{3,5},{6,8}}=>4 {{1,6},{2,4},{3,5},{7,8}}=>8 {{1,5},{2,4},{3,6},{7,8}}=>8 {{1,4},{2,5},{3,6},{7,8}}=>8 {{1,3},{2,5},{4,6},{7,8}}=>8 {{1,2},{3,5},{4,6},{7,8}}=>8 {{1,2},{3,6},{4,5},{7,8}}=>8 {{1,3},{2,6},{4,5},{7,8}}=>8 {{1,4},{2,6},{3,5},{7,8}}=>8 {{1,5},{2,6},{3,4},{7,8}}=>4 {{1,6},{2,5},{3,4},{7,8}}=>4 {{1,7},{2,5},{3,4},{6,8}}=>8 {{1,8},{2,5},{3,4},{6,7}}=>8 {{1,8},{2,6},{3,4},{5,7}}=>8 {{1,7},{2,6},{3,4},{5,8}}=>8 {{1,6},{2,7},{3,4},{5,8}}=>8 {{1,5},{2,7},{3,4},{6,8}}=>8 {{1,4},{2,7},{3,5},{6,8}}=>8 {{1,3},{2,7},{4,5},{6,8}}=>8 {{1,2},{3,7},{4,5},{6,8}}=>8 {{1,2},{3,8},{4,5},{6,7}}=>8 {{1,3},{2,8},{4,5},{6,7}}=>8 {{1,4},{2,8},{3,5},{6,7}}=>8 {{1,5},{2,8},{3,4},{6,7}}=>8 {{1,6},{2,8},{3,4},{5,7}}=>8 {{1,7},{2,8},{3,4},{5,6}}=>8 {{1,8},{2,7},{3,4},{5,6}}=>8 {{1,8},{2,7},{3,5},{4,6}}=>8 {{1,7},{2,8},{3,5},{4,6}}=>4 {{1,6},{2,8},{3,5},{4,7}}=>8 {{1,5},{2,8},{3,6},{4,7}}=>8 {{1,4},{2,8},{3,6},{5,7}}=>8 {{1,3},{2,8},{4,6},{5,7}}=>4 {{1,2},{3,8},{4,6},{5,7}}=>8 {{1,2},{3,7},{4,6},{5,8}}=>8 {{1,3},{2,7},{4,6},{5,8}}=>8 {{1,4},{2,7},{3,6},{5,8}}=>2 {{1,5},{2,7},{3,6},{4,8}}=>4 {{1,6},{2,7},{3,5},{4,8}}=>8 {{1,7},{2,6},{3,5},{4,8}}=>4 {{1,8},{2,6},{3,5},{4,7}}=>8 {{1,8},{2,5},{3,6},{4,7}}=>8 {{1,7},{2,5},{3,6},{4,8}}=>8 {{1,6},{2,5},{3,7},{4,8}}=>4 {{1,5},{2,6},{3,7},{4,8}}=>1 {{1,4},{2,6},{3,7},{5,8}}=>4 {{1,3},{2,6},{4,7},{5,8}}=>8 {{1,2},{3,6},{4,7},{5,8}}=>8 {{1,2},{3,5},{4,7},{6,8}}=>8 {{1,3},{2,5},{4,7},{6,8}}=>8 {{1,4},{2,5},{3,7},{6,8}}=>8 {{1,5},{2,4},{3,7},{6,8}}=>4 {{1,6},{2,4},{3,7},{5,8}}=>8 {{1,7},{2,4},{3,6},{5,8}}=>8 {{1,8},{2,4},{3,6},{5,7}}=>8 {{1,8},{2,3},{4,6},{5,7}}=>8 {{1,7},{2,3},{4,6},{5,8}}=>8 {{1,6},{2,3},{4,7},{5,8}}=>8 {{1,5},{2,3},{4,7},{6,8}}=>8 {{1,4},{2,3},{5,7},{6,8}}=>8 {{1,3},{2,4},{5,7},{6,8}}=>4 {{1,2},{3,4},{5,7},{6,8}}=>8 {{1,2},{3,4},{5,8},{6,7}}=>8 {{1,3},{2,4},{5,8},{6,7}}=>8 {{1,4},{2,3},{5,8},{6,7}}=>4 {{1,5},{2,3},{4,8},{6,7}}=>4 {{1,6},{2,3},{4,8},{5,7}}=>8 {{1,7},{2,3},{4,8},{5,6}}=>8 {{1,8},{2,3},{4,7},{5,6}}=>8 {{1,8},{2,4},{3,7},{5,6}}=>8 {{1,7},{2,4},{3,8},{5,6}}=>8 {{1,6},{2,4},{3,8},{5,7}}=>8 {{1,5},{2,4},{3,8},{6,7}}=>8 {{1,4},{2,5},{3,8},{6,7}}=>8 {{1,3},{2,5},{4,8},{6,7}}=>8 {{1,2},{3,5},{4,8},{6,7}}=>8 {{1,2},{3,6},{4,8},{5,7}}=>8 {{1,3},{2,6},{4,8},{5,7}}=>4 {{1,4},{2,6},{3,8},{5,7}}=>8 {{1,5},{2,6},{3,8},{4,7}}=>4 {{1,6},{2,5},{3,8},{4,7}}=>2 {{1,7},{2,5},{3,8},{4,6}}=>8 {{1,8},{2,5},{3,7},{4,6}}=>8 {{1,8},{2,6},{3,7},{4,5}}=>4 {{1,7},{2,6},{3,8},{4,5}}=>8 {{1,6},{2,7},{3,8},{4,5}}=>8 {{1,5},{2,7},{3,8},{4,6}}=>8 {{1,4},{2,7},{3,8},{5,6}}=>8 {{1,3},{2,7},{4,8},{5,6}}=>8 {{1,2},{3,7},{4,8},{5,6}}=>4 {{1,2},{3,8},{4,7},{5,6}}=>4 {{1,3},{2,8},{4,7},{5,6}}=>8 {{1,4},{2,8},{3,7},{5,6}}=>8 {{1,5},{2,8},{3,7},{4,6}}=>4 {{1,6},{2,8},{3,7},{4,5}}=>8 {{1,7},{2,8},{3,6},{4,5}}=>8 {{1,8},{2,7},{3,6},{4,5}}=>4 {{1},{2},{3},{4,5,6,7,8}}=>8 {{1},{2},{3,5,6,7,8},{4}}=>8 {{1},{2},{3,4,6,7,8},{5}}=>8 {{1},{2},{3,4,5,7,8},{6}}=>8 {{1},{2},{3,4,5,6,7},{8}}=>8 {{1},{2},{3,4,5,6,8},{7}}=>8 {{1},{2},{3,4,5,6,7,8}}=>8 {{1},{2,3},{4,5,6,7,8}}=>8 {{1},{2,5,6,7,8},{3},{4}}=>8 {{1},{2,4,6,7,8},{3},{5}}=>8 {{1},{2,4,5,7,8},{3},{6}}=>8 {{1},{2,4,5,6,7},{3},{8}}=>8 {{1},{2,4,5,6,8},{3},{7}}=>8 {{1},{2,4,5,6,7,8},{3}}=>8 {{1},{2,3,4},{5,6,7,8}}=>8 {{1},{2,5,6,7,8},{3,4}}=>8 {{1},{2,3,6,7,8},{4},{5}}=>8 {{1},{2,3,5,7,8},{4},{6}}=>8 {{1},{2,3,5,6,7},{4},{8}}=>8 {{1},{2,3,5,6,8},{4},{7}}=>8 {{1},{2,3,5,6,7,8},{4}}=>8 {{1},{2,3,4,5},{6,7,8}}=>8 {{1},{2,6,7,8},{3,4,5}}=>8 {{1},{2,3,6,7,8},{4,5}}=>8 {{1},{2,3,4,7,8},{5},{6}}=>8 {{1},{2,3,4,6,7},{5},{8}}=>8 {{1},{2,3,4,6,8},{5},{7}}=>8 {{1},{2,3,4,6,7,8},{5}}=>4 {{1},{2,3,4,5,6},{7},{8}}=>8 {{1},{2,3,4,5,6},{7,8}}=>8 {{1},{2,7,8},{3,4,5,6}}=>8 {{1},{2,3,7,8},{4,5,6}}=>8 {{1},{2,3,4,7,8},{5,6}}=>8 {{1},{2,3,4,5,7},{6},{8}}=>8 {{1},{2,3,4,5,8},{6},{7}}=>8 {{1},{2,3,4,5,7,8},{6}}=>8 {{1},{2,3,4,5,6,7},{8}}=>8 {{1},{2,8},{3,4,5,6,7}}=>8 {{1},{2,3,8},{4,5,6,7}}=>8 {{1},{2,3,4,8},{5,6,7}}=>8 {{1},{2,3,4,5,8},{6,7}}=>8 {{1},{2,3,4,5,6,8},{7}}=>8 {{1},{2,3,4,5,6,7,8}}=>8 {{1,2},{3},{4,5,6,7,8}}=>8 {{1,2},{3,4},{5,6,7,8}}=>8 {{1,2},{3,5,6,7,8},{4}}=>8 {{1,2},{3,6,7,8},{4,5}}=>8 {{1,2},{3,4,6,7,8},{5}}=>8 {{1,2},{3,4,5,6},{7,8}}=>8 {{1,2},{3,4,7,8},{5,6}}=>4 {{1,2},{3,4,5,7,8},{6}}=>8 {{1,2},{3,4,5,6,7},{8}}=>8 {{1,2},{3,8},{4,5,6,7}}=>8 {{1,2},{3,4,5,8},{6,7}}=>8 {{1,2},{3,4,5,6,8},{7}}=>8 {{1,2},{3,4,5,6,7,8}}=>8 {{1,3},{2},{4,5,6,7,8}}=>8 {{1,5,6,7,8},{2},{3},{4}}=>8 {{1,4,6,7,8},{2},{3},{5}}=>8 {{1,4,5,7,8},{2},{3},{6}}=>8 {{1,4,5,6,7},{2},{3},{8}}=>8 {{1,4,5,6,8},{2},{3},{7}}=>8 {{1,4,5,6,7,8},{2},{3}}=>8 {{1,3,4},{2},{5,6,7,8}}=>8 {{1,5,6,7,8},{2},{3,4}}=>8 {{1,3,6,7,8},{2},{4},{5}}=>8 {{1,3,5,7,8},{2},{4},{6}}=>8 {{1,3,5,6,7},{2},{4},{8}}=>8 {{1,3,5,6,8},{2},{4},{7}}=>8 {{1,3,5,6,7,8},{2},{4}}=>8 {{1,3,4,5},{2},{6,7,8}}=>8 {{1,6,7,8},{2},{3,4,5}}=>8 {{1,3,6,7,8},{2},{4,5}}=>8 {{1,3,4,7,8},{2},{5},{6}}=>8 {{1,3,4,6,7},{2},{5},{8}}=>8 {{1,3,4,6,8},{2},{5},{7}}=>8 {{1,3,4,6,7,8},{2},{5}}=>8 {{1,3,4,5,6},{2},{7},{8}}=>8 {{1,3,4,5,6},{2},{7,8}}=>8 {{1,7,8},{2},{3,4,5,6}}=>8 {{1,3,7,8},{2},{4,5,6}}=>8 {{1,3,4,7,8},{2},{5,6}}=>8 {{1,3,4,5,7},{2},{6},{8}}=>8 {{1,3,4,5,8},{2},{6},{7}}=>8 {{1,3,4,5,7,8},{2},{6}}=>4 {{1,3,4,5,6,7},{2},{8}}=>8 {{1,8},{2},{3,4,5,6,7}}=>8 {{1,3,8},{2},{4,5,6,7}}=>8 {{1,3,4,8},{2},{5,6,7}}=>8 {{1,3,4,5,8},{2},{6,7}}=>8 {{1,3,4,5,6,8},{2},{7}}=>8 {{1,3,4,5,6,7,8},{2}}=>8 {{1,2,3},{4},{5,6,7,8}}=>8 {{1,2,3},{4,6,7,8},{5}}=>8 {{1,2,3},{4,5,7,8},{6}}=>8 {{1,2,3},{4,5,6,7},{8}}=>8 {{1,2,3},{4,5,6,8},{7}}=>8 {{1,2,3},{4,5,6,7,8}}=>8 {{1,4},{2,3},{5,6,7,8}}=>8 {{1,5,6,7,8},{2,3},{4}}=>8 {{1,6,7,8},{2,3},{4,5}}=>8 {{1,4,6,7,8},{2,3},{5}}=>8 {{1,4,5,6},{2,3},{7,8}}=>8 {{1,4,7,8},{2,3},{5,6}}=>8 {{1,4,5,7,8},{2,3},{6}}=>8 {{1,4,5,6,7},{2,3},{8}}=>8 {{1,8},{2,3},{4,5,6,7}}=>8 {{1,4,5,8},{2,3},{6,7}}=>4 {{1,4,5,6,8},{2,3},{7}}=>8 {{1,4,5,6,7,8},{2,3}}=>8 {{1,2,4},{3},{5,6,7,8}}=>8 {{1,5,6,7,8},{2,4},{3}}=>8 {{1,2,6,7,8},{3},{4},{5}}=>8 {{1,2,5,7,8},{3},{4},{6}}=>8 {{1,2,5,6,7},{3},{4},{8}}=>8 {{1,2,5,6,8},{3},{4},{7}}=>8 {{1,2,5,6,7,8},{3},{4}}=>8 {{1,2,4,5},{3},{6,7,8}}=>8 {{1,6,7,8},{2,4,5},{3}}=>8 {{1,2,6,7,8},{3},{4,5}}=>8 {{1,2,4,7,8},{3},{5},{6}}=>8 {{1,2,4,6,7},{3},{5},{8}}=>8 {{1,2,4,6,8},{3},{5},{7}}=>8 {{1,2,4,6,7,8},{3},{5}}=>8 {{1,2,4,5,6},{3},{7},{8}}=>8 {{1,2,4,5,6},{3},{7,8}}=>8 {{1,7,8},{2,4,5,6},{3}}=>8 {{1,2,7,8},{3},{4,5,6}}=>8 {{1,2,4,7,8},{3},{5,6}}=>8 {{1,2,4,5,7},{3},{6},{8}}=>8 {{1,2,4,5,8},{3},{6},{7}}=>8 {{1,2,4,5,7,8},{3},{6}}=>8 {{1,2,4,5,6,7},{3},{8}}=>8 {{1,8},{2,4,5,6,7},{3}}=>8 {{1,2,8},{3},{4,5,6,7}}=>8 {{1,2,4,8},{3},{5,6,7}}=>8 {{1,2,4,5,8},{3},{6,7}}=>8 {{1,2,4,5,6,8},{3},{7}}=>4 {{1,2,4,5,6,7,8},{3}}=>8 {{1,2,3,4},{5},{6,7,8}}=>8 {{1,2,3,4},{5,7,8},{6}}=>8 {{1,2,3,4},{5,6,7},{8}}=>8 {{1,2,3,4},{5,6,8},{7}}=>8 {{1,2,3,4},{5,6,7,8}}=>4 {{1,6,7,8},{2,3,4},{5}}=>8 {{1,5,7,8},{2,3,4},{6}}=>8 {{1,5,6,7},{2,3,4},{8}}=>8 {{1,5,6,8},{2,3,4},{7}}=>8 {{1,5,6,7,8},{2,3,4}}=>8 {{1,6,7,8},{2,5},{3,4}}=>8 {{1,2,6,7,8},{3,4},{5}}=>8 {{1,2,5,7,8},{3,4},{6}}=>8 {{1,2,5,6,7},{3,4},{8}}=>8 {{1,8},{2,5,6,7},{3,4}}=>8 {{1,2,5,6,8},{3,4},{7}}=>8 {{1,2,5,6,7,8},{3,4}}=>8 {{1,2,3,5},{4},{6,7,8}}=>8 {{1,6,7,8},{2,3,5},{4}}=>8 {{1,2,6,7,8},{3,5},{4}}=>8 {{1,2,3,7,8},{4},{5},{6}}=>8 {{1,2,3,6,7},{4},{5},{8}}=>8 {{1,2,3,6,8},{4},{5},{7}}=>8 {{1,2,3,6,7,8},{4},{5}}=>8 {{1,2,3,5,6},{4},{7},{8}}=>8 {{1,2,3,5,6},{4},{7,8}}=>8 {{1,7,8},{2,3,5,6},{4}}=>8 {{1,2,7,8},{3,5,6},{4}}=>8 {{1,2,3,7,8},{4},{5,6}}=>8 {{1,2,3,5,7},{4},{6},{8}}=>8 {{1,2,3,5,8},{4},{6},{7}}=>8 {{1,2,3,5,7,8},{4},{6}}=>8 {{1,2,3,5,6,7},{4},{8}}=>4 {{1,8},{2,3,5,6,7},{4}}=>8 {{1,2,8},{3,5,6,7},{4}}=>8 {{1,2,3,8},{4},{5,6,7}}=>8 {{1,2,3,5,8},{4},{6,7}}=>8 {{1,2,3,5,6,8},{4},{7}}=>8 {{1,2,3,5,6,7,8},{4}}=>8 {{1,2,3,4,5},{6},{7},{8}}=>8 {{1,2,3,4,5},{6},{7,8}}=>8 {{1,2,3,4,5},{6,7},{8}}=>8 {{1,2,3,4,5},{6,8},{7}}=>8 {{1,2,3,4,5},{6,7,8}}=>8 {{1,6},{2,3,4,5},{7,8}}=>8 {{1,7,8},{2,3,4,5},{6}}=>8 {{1,6,7},{2,3,4,5},{8}}=>8 {{1,8},{2,3,4,5},{6,7}}=>8 {{1,6,8},{2,3,4,5},{7}}=>8 {{1,6,7,8},{2,3,4,5}}=>4 {{1,2,7,8},{3,4,5},{6}}=>8 {{1,2,6,7},{3,4,5},{8}}=>8 {{1,2,6,8},{3,4,5},{7}}=>8 {{1,2,6,7,8},{3,4,5}}=>8 {{1,2,3,7,8},{4,5},{6}}=>8 {{1,2,3,6,7},{4,5},{8}}=>8 {{1,8},{2,3,6,7},{4,5}}=>4 {{1,2,3,6,8},{4,5},{7}}=>8 {{1,2,3,6,7,8},{4,5}}=>8 {{1,2,3,4,6},{5},{7},{8}}=>8 {{1,2,3,4,6},{5},{7,8}}=>8 {{1,7,8},{2,3,4,6},{5}}=>8 {{1,2,7,8},{3,4,6},{5}}=>8 {{1,2,3,7,8},{4,6},{5}}=>8 {{1,2,3,4,7},{5},{6},{8}}=>8 {{1,2,3,4,8},{5},{6},{7}}=>8 {{1,2,3,4,7,8},{5},{6}}=>8 {{1,2,3,4,6,7},{5},{8}}=>8 {{1,8},{2,3,4,6,7},{5}}=>8 {{1,2,8},{3,4,6,7},{5}}=>8 {{1,2,3,8},{4,6,7},{5}}=>8 {{1,2,3,4,8},{5},{6,7}}=>8 {{1,2,3,4,6,8},{5},{7}}=>8 {{1,2,3,4,6,7,8},{5}}=>8 {{1,2,3,4,5,6},{7},{8}}=>8 {{1,2,3,4,5,6},{7,8}}=>8 {{1,7},{2,3,4,5,6},{8}}=>8 {{1,8},{2,3,4,5,6},{7}}=>8 {{1,7,8},{2,3,4,5,6}}=>8 {{1,2,7},{3,4,5,6},{8}}=>8 {{1,8},{2,7},{3,4,5,6}}=>8 {{1,2,8},{3,4,5,6},{7}}=>8 {{1,2,7,8},{3,4,5,6}}=>4 {{1,2,3,7},{4,5,6},{8}}=>8 {{1,2,3,8},{4,5,6},{7}}=>8 {{1,2,3,7,8},{4,5,6}}=>8 {{1,2,3,4,7},{5,6},{8}}=>8 {{1,8},{2,3,4,7},{5,6}}=>8 {{1,2,3,4,8},{5,6},{7}}=>8 {{1,2,3,4,7,8},{5,6}}=>8 {{1,2,3,4,5,7},{6},{8}}=>8 {{1,8},{2,3,4,5,7},{6}}=>8 {{1,2,8},{3,4,5,7},{6}}=>8 {{1,2,3,8},{4,5,7},{6}}=>8 {{1,2,3,4,8},{5,7},{6}}=>8 {{1,2,3,4,5,8},{6},{7}}=>8 {{1,2,3,4,5,7,8},{6}}=>8 {{1,2,3,4,5,6,7},{8}}=>8 {{1,8},{2,3,4,5,6,7}}=>8 {{1,2,8},{3,4,5,6,7}}=>8 {{1,2,3,8},{4,5,6,7}}=>4 {{1,2,3,4,8},{5,6,7}}=>8 {{1,2,3,4,5,8},{6,7}}=>8 {{1,2,3,4,5,6,8},{7}}=>8 {{1,2,3,4,5,6,7,8}}=>1 {{1,3,5,6,7,8},{2,4}}=>8 {{1,3,4,6,7,8},{2,5}}=>8 {{1,2,4,6,7,8},{3,5}}=>8 {{1,3,4,5,7,8},{2,6}}=>4 {{1,2,4,5,7,8},{3,6}}=>8 {{1,2,3,5,7,8},{4,6}}=>8 {{1,3,4,5,6,8},{2,7}}=>8 {{1,2,4,5,6,8},{3,7}}=>4 {{1,2,3,5,6,8},{4,7}}=>8 {{1,2,3,4,6,8},{5,7}}=>8 {{1,3,4,5,6,7},{2,8}}=>8 {{1,2,4,5,6,7},{3,8}}=>8 {{1,2,3,5,6,7},{4,8}}=>4 {{1,2,3,4,6,7},{5,8}}=>8 {{1,2,3,4,5,7},{6,8}}=>8 {{1,3,5,7,8},{2,4,6}}=>8 {{1,2,5,7,8},{3,4,6}}=>8 {{1,3,4,7,8},{2,5,6}}=>8 {{1,2,4,7,8},{3,5,6}}=>8 {{1,3,5,6,8},{2,4,7}}=>8 {{1,2,5,6,8},{3,4,7}}=>8 {{1,3,4,6,8},{2,5,7}}=>8 {{1,2,4,6,8},{3,5,7}}=>8 {{1,2,3,6,8},{4,5,7}}=>8 {{1,3,4,5,8},{2,6,7}}=>8 {{1,2,4,5,8},{3,6,7}}=>8 {{1,2,3,5,8},{4,6,7}}=>8 {{1,3,5,6,7},{2,4,8}}=>8 {{1,2,5,6,7},{3,4,8}}=>8 {{1,3,4,6,7},{2,5,8}}=>8 {{1,2,4,6,7},{3,5,8}}=>8 {{1,2,3,6,7},{4,5,8}}=>8 {{1,3,4,5,7},{2,6,8}}=>8 {{1,2,4,5,7},{3,6,8}}=>8 {{1,2,3,5,7},{4,6,8}}=>8 {{1,2,3,4,7},{5,6,8}}=>8 {{1,3,4,5,6},{2,7,8}}=>8 {{1,2,4,5,6},{3,7,8}}=>8 {{1,2,3,5,6},{4,7,8}}=>8 {{1,2,3,4,6},{5,7,8}}=>8 {{1,4,6,7,8},{2,5},{3}}=>8 {{1,3,6,7,8},{2,5},{4}}=>8 {{1,3,6,7,8},{2,4},{5}}=>8 {{1,4,5,7,8},{2,6},{3}}=>8 {{1,3,5,7,8},{2,6},{4}}=>8 {{1,2,5,7,8},{3,6},{4}}=>8 {{1,3,4,7,8},{2,6},{5}}=>8 {{1,2,4,7,8},{3,6},{5}}=>8 {{1,3,5,7,8},{2,4},{6}}=>8 {{1,3,4,7,8},{2,5},{6}}=>8 {{1,2,4,7,8},{3,5},{6}}=>8 {{1,4,5,6,8},{2,7},{3}}=>8 {{1,3,5,6,8},{2,7},{4}}=>8 {{1,2,5,6,8},{3,7},{4}}=>8 {{1,3,4,6,8},{2,7},{5}}=>8 {{1,2,4,6,8},{3,7},{5}}=>8 {{1,2,3,6,8},{4,7},{5}}=>8 {{1,3,4,5,8},{2,7},{6}}=>8 {{1,2,4,5,8},{3,7},{6}}=>8 {{1,2,3,5,8},{4,7},{6}}=>8 {{1,3,5,6,8},{2,4},{7}}=>8 {{1,3,4,6,8},{2,5},{7}}=>8 {{1,2,4,6,8},{3,5},{7}}=>8 {{1,3,4,5,8},{2,6},{7}}=>8 {{1,2,4,5,8},{3,6},{7}}=>8 {{1,2,3,5,8},{4,6},{7}}=>8 {{1,4,5,6,7},{2,8},{3}}=>8 {{1,3,5,6,7},{2,8},{4}}=>8 {{1,2,5,6,7},{3,8},{4}}=>8 {{1,3,4,6,7},{2,8},{5}}=>8 {{1,2,4,6,7},{3,8},{5}}=>8 {{1,2,3,6,7},{4,8},{5}}=>8 {{1,3,4,5,7},{2,8},{6}}=>8 {{1,2,4,5,7},{3,8},{6}}=>8 {{1,2,3,5,7},{4,8},{6}}=>8 {{1,2,3,4,7},{5,8},{6}}=>8 {{1,3,4,5,6},{2,8},{7}}=>8 {{1,2,4,5,6},{3,8},{7}}=>8 {{1,2,3,5,6},{4,8},{7}}=>8 {{1,2,3,4,6},{5,8},{7}}=>8 {{1,3,5,6,7},{2,4},{8}}=>8 {{1,3,4,6,7},{2,5},{8}}=>8 {{1,2,4,6,7},{3,5},{8}}=>8 {{1,3,4,5,7},{2,6},{8}}=>8 {{1,2,4,5,7},{3,6},{8}}=>8 {{1,2,3,5,7},{4,6},{8}}=>8 {{1,3,4,5,6},{2,7},{8}}=>8 {{1,2,4,5,6},{3,7},{8}}=>8 {{1,2,3,5,6},{4,7},{8}}=>8 {{1,2,3,4,6},{5,7},{8}}=>8 {{1,3,5,7},{2,4,6,8}}=>1 {{1,2,5,7},{3,4,6,8}}=>8 {{1,3,4,7},{2,5,6,8}}=>8 {{1,2,4,7},{3,5,6,8}}=>4 {{1,2,3,7},{4,5,6,8}}=>8 {{1,3,5,6},{2,4,7,8}}=>8 {{1,2,5,6},{3,4,7,8}}=>2 {{1,3,4,6},{2,5,7,8}}=>4 {{1,2,4,6},{3,5,7,8}}=>8 {{1,2,3,6},{4,5,7,8}}=>8 {{1,3,4,5},{2,6,7,8}}=>8 {{1,2,4,5},{3,6,7,8}}=>8 {{1,2,3,5},{4,6,7,8}}=>8 {{1,4,6,8},{2,5,7},{3}}=>8 {{1,3,6,8},{2,5,7},{4}}=>8 {{1,2,6,8},{3,5,7},{4}}=>8 {{1,3,6,8},{2,4,7},{5}}=>8 {{1,2,6,8},{3,4,7},{5}}=>8 {{1,4,5,8},{2,6,7},{3}}=>8 {{1,3,5,8},{2,6,7},{4}}=>8 {{1,2,5,8},{3,6,7},{4}}=>8 {{1,3,4,8},{2,6,7},{5}}=>8 {{1,2,4,8},{3,6,7},{5}}=>8 {{1,3,5,8},{2,4,7},{6}}=>8 {{1,2,5,8},{3,4,7},{6}}=>8 {{1,3,4,8},{2,5,7},{6}}=>8 {{1,2,4,8},{3,5,7},{6}}=>8 {{1,3,5,8},{2,4,6},{7}}=>8 {{1,2,5,8},{3,4,6},{7}}=>8 {{1,3,4,8},{2,5,6},{7}}=>8 {{1,2,4,8},{3,5,6},{7}}=>8 {{1,4,6,7},{2,5,8},{3}}=>8 {{1,3,6,7},{2,5,8},{4}}=>8 {{1,2,6,7},{3,5,8},{4}}=>8 {{1,3,6,7},{2,4,8},{5}}=>8 {{1,2,6,7},{3,4,8},{5}}=>8 {{1,4,5,7},{2,6,8},{3}}=>8 {{1,3,5,7},{2,6,8},{4}}=>8 {{1,2,5,7},{3,6,8},{4}}=>8 {{1,3,4,7},{2,6,8},{5}}=>8 {{1,2,4,7},{3,6,8},{5}}=>8 {{1,2,3,7},{4,6,8},{5}}=>8 {{1,3,5,7},{2,4,8},{6}}=>8 {{1,2,5,7},{3,4,8},{6}}=>8 {{1,3,4,7},{2,5,8},{6}}=>8 {{1,2,4,7},{3,5,8},{6}}=>8 {{1,2,3,7},{4,5,8},{6}}=>8 {{1,4,5,6},{2,7,8},{3}}=>8 {{1,3,5,6},{2,7,8},{4}}=>8 {{1,2,5,6},{3,7,8},{4}}=>8 {{1,3,4,6},{2,7,8},{5}}=>8 {{1,2,4,6},{3,7,8},{5}}=>8 {{1,2,3,6},{4,7,8},{5}}=>8 {{1,3,4,5},{2,7,8},{6}}=>8 {{1,2,4,5},{3,7,8},{6}}=>8 {{1,2,3,5},{4,7,8},{6}}=>8 {{1,3,5,6},{2,4,8},{7}}=>8 {{1,2,5,6},{3,4,8},{7}}=>8 {{1,3,4,6},{2,5,8},{7}}=>8 {{1,2,4,6},{3,5,8},{7}}=>8 {{1,2,3,6},{4,5,8},{7}}=>8 {{1,3,4,5},{2,6,8},{7}}=>8 {{1,2,4,5},{3,6,8},{7}}=>8 {{1,2,3,5},{4,6,8},{7}}=>8 {{1,3,5,7},{2,4,6},{8}}=>8 {{1,2,5,7},{3,4,6},{8}}=>8 {{1,3,4,7},{2,5,6},{8}}=>8 {{1,2,4,7},{3,5,6},{8}}=>8 {{1,3,5,6},{2,4,7},{8}}=>8 {{1,2,5,6},{3,4,7},{8}}=>8 {{1,3,4,6},{2,5,7},{8}}=>8 {{1,2,4,6},{3,5,7},{8}}=>8 {{1,2,3,6},{4,5,7},{8}}=>8 {{1,3,4,5},{2,6,7},{8}}=>8 {{1,2,4,5},{3,6,7},{8}}=>8 {{1,2,3,5},{4,6,7},{8}}=>8 {{1,4,7,8},{2,5},{3,6}}=>8 {{1,3,7,8},{2,5},{4,6}}=>8 {{1,3,7,8},{2,4},{5,6}}=>8 {{1,4,6,8},{2,5},{3,7}}=>8 {{1,3,6,8},{2,5},{4,7}}=>8 {{1,3,6,8},{2,4},{5,7}}=>8 {{1,4,5,8},{2,6},{3,7}}=>4 {{1,3,5,8},{2,6},{4,7}}=>8 {{1,3,4,8},{2,6},{5,7}}=>8 {{1,3,5,8},{2,4},{6,7}}=>8 {{1,3,4,8},{2,5},{6,7}}=>8 {{1,4,6,7},{2,5},{3,8}}=>8 {{1,3,6,7},{2,5},{4,8}}=>8 {{1,3,6,7},{2,4},{5,8}}=>8 {{1,4,5,7},{2,6},{3,8}}=>8 {{1,3,5,7},{2,6},{4,8}}=>2 {{1,3,4,7},{2,6},{5,8}}=>8 {{1,3,5,7},{2,4},{6,8}}=>4 {{1,3,4,7},{2,5},{6,8}}=>8 {{1,4,5,6},{2,7},{3,8}}=>8 {{1,3,5,6},{2,7},{4,8}}=>8 {{1,3,4,6},{2,7},{5,8}}=>8 {{1,3,5,6},{2,4},{7,8}}=>8 {{1,3,4,6},{2,5},{7,8}}=>8 {{1,3},{2,4,5,6},{7,8}}=>8 {{1,4},{2,3,5,6},{7,8}}=>8 {{1,4},{2,3,5,7},{6,8}}=>8 {{1,3},{2,4,5,7},{6,8}}=>8 {{1,2},{3,4,5,7},{6,8}}=>8 {{1,3},{2,4,5,6,7,8}}=>8 {{1,4},{2,3,5,6,7,8}}=>8 {{1,5},{2,3,4,6,7,8}}=>4 {{1,2},{3,4,6,7},{5,8}}=>8 {{1,3},{2,4,6,7},{5,8}}=>8 {{1,4},{2,3,6,7},{5,8}}=>4 {{1,5},{2,3,6,7},{4,8}}=>4 {{1,3},{2,4},{5,6,7,8}}=>8 {{1,4},{2,5},{3,6,7,8}}=>8 {{1,3},{2,5},{4,6,7,8}}=>8 {{1,2},{3,5},{4,6,7,8}}=>8 {{1,2},{3,6},{4,5,7,8}}=>8 {{1,3},{2,6},{4,5,7,8}}=>8 {{1,4},{2,6},{3,5,7,8}}=>8 {{1,5},{2,6},{3,4,7,8}}=>4 {{1,2},{3,5,6,8},{4,7}}=>8 {{1,3},{2,5,6,8},{4,7}}=>8 {{1,4},{2,5,6,8},{3,7}}=>8 {{1,5},{2,4,6,8},{3,7}}=>2 {{1,4,5,8},{2,3,6,7}}=>2 {{1,4,6,7},{2,3,5,8}}=>4 {{1,5,6},{2,3,4,7},{8}}=>8 {{1,5,6},{2,3,4,7,8}}=>8 {{1,5,6,7},{2,3,4,8}}=>8 {{1,6,7},{2,3,4,8},{5}}=>8 {{1,5,6,7},{2,4,8},{3}}=>8 {{1,5,7},{2,4,6,8},{3}}=>8 {{1,5},{2,3},{4,6,7,8}}=>8 {{1,5,6},{2,3,4,8},{7}}=>8 {{1,6},{2,4},{3,5,7,8}}=>8 {{1,6},{2,5},{3,4,7,8}}=>4 {{1,5,6,8},{2,3,4,7}}=>8 {{1,3},{2,5,7,8},{4,6}}=>8 {{1,7},{2,4},{3,5,6,8}}=>8 {{1,4},{2,7},{3,5,6,8}}=>8 {{1},{2,5,6,7},{3,4,8}}=>8 {{1,5,6,7},{2,3,8},{4}}=>8 {{1,5,7},{2,3,4,8},{6}}=>8 {{1,5,6,7},{2},{3,4,8}}=>8 {{1,3,4,8},{2,5,6,7}}=>8 {{1,3,6,7},{2,4,5,8}}=>8 {{1,5},{2,7},{3,4,6,8}}=>8 {{1,4,5,7},{2,3,6,8}}=>8 {{1,5},{2,3,6,8},{4,7}}=>8 {{1,7},{2,4,5,8},{3,6}}=>8 {{1,6},{2,4,5,8},{3,7}}=>8 {{1,4,5,7},{2,8},{3,6}}=>8 {{1,7},{2,5},{3,4,6,8}}=>8 {{1,6},{2,4,5,7},{3,8}}=>8 {{1},{2,3,5},{4,6,7,8}}=>8 {{1,3},{2,5,6,7,8},{4}}=>8 {{1,3,7},{2,5,6,8},{4}}=>8 {{1},{2,4,7,8},{3,5,6}}=>8 {{1},{2,3,5,6},{4,7,8}}=>8 {{1,4,5,6,8},{2,3,7}}=>8 {{1},{2,3,7},{4,5,6,8}}=>8 {{1},{2,3,4,7},{5,6,8}}=>8 {{1,4},{2},{3,5,6,7,8}}=>8 {{1,4,7},{2,3,5,6},{8}}=>8 {{1,6},{2,3,5,7,8},{4}}=>8 {{1,4,6},{2,3,7,8},{5}}=>8 {{1,3,5,6,8},{2},{4,7}}=>8 {{1,4,5,8},{2,7},{3,6}}=>4 {{1},{2,4,5,7,8},{3,6}}=>8 {{1},{2,4,6,8},{3,5,7}}=>8 {{1,3,5,7},{2},{4,6,8}}=>8 {{1,3,6},{2},{4,5,7,8}}=>8 {{1},{2,5,8},{3,4,6,7}}=>8 {{1,5,6,8},{2,4,7},{3}}=>8 {{1,6},{2,4,5,7,8},{3}}=>8 {{1,2,4,6,7},{3},{5,8}}=>8 {{1,3,5},{2,4,6,8},{7}}=>8 {{1,4},{2,3,5,6,8},{7}}=>8 {{1,3,4,6,7},{2},{5,8}}=>8 {{1},{2,3,5,6,8},{4,7}}=>8 {{1,3,7},{2,4,6,8},{5}}=>8 {{1,4},{2,3,5,7,8},{6}}=>8 {{1,4,6},{2,3,5,7,8}}=>8 {{1,2,4,6},{3},{5,7,8}}=>8 {{1,2,3,6,7},{4},{5,8}}=>8 {{1},{2,4,6,7,8},{3,5}}=>8 {{1,2,6},{3,4,5,7,8}}=>8 {{1,5,8},{2},{3,4,6,7}}=>8 {{1,3,4,7},{2},{5,6,8}}=>8 {{1,4,7},{2,3,5,6,8}}=>8 {{1,3,7,8},{2,4,5,6}}=>8 {{1,5,7,8},{2,3,4,6}}=>8 {{1,3,6,8},{2,4,5,7}}=>4 {{1,2,6,8},{3,4,5,7}}=>8 {{1,2,4,8},{3,5,6,7}}=>8 {{1,6},{2,3,4,5,7,8}}=>8 {{1,2,6},{3,4,5,8},{7}}=>8 {{1,4,8},{2,3,5,6},{7}}=>8 {{1,5},{2,3,4,8},{6,7}}=>8 {{1,2,4},{3,5,6,7,8}}=>8 {{1,5,8},{2,3,4,6,7}}=>8 {{1,3,4},{2,5,6,7,8}}=>8 {{1,4,6,7},{2,3,8},{5}}=>8 {{1,3,8},{2,4,6,7},{5}}=>8 {{1,4,7,8},{2,3,6},{5}}=>8 {{1,4,7,8},{2,6},{3,5}}=>8 {{1,4,8},{2,3,5,7},{6}}=>8 {{1,2,5},{3,4,6,7,8}}=>8 {{1,2,5,7},{3},{4,6,8}}=>8 {{1,7},{2,3,4,5,6,8}}=>8 {{1,4,6,7,8},{2,3,5}}=>8 {{1,2,6,7},{3,4,5,8}}=>8 {{1,3,6,7,8},{2,4,5}}=>8 {{1,6},{2,5,7,8},{3,4}}=>8 {{1,4,5,7,8},{2,3,6}}=>8 {{1,5,7},{2,3,6,8},{4}}=>8 {{1,3,7},{2,4,5,8},{6}}=>8 {{1,3,7},{2,4,5,6,8}}=>8 {{1,6},{2,3,4,7,8},{5}}=>8 {{1,2,5,8},{3,4,6,7}}=>8 {{1},{2,3,5,7,8},{4,6}}=>8 {{1},{2,3,5,7},{4,6,8}}=>8 {{1},{2,3,4,5,7},{6,8}}=>8 {{1},{2,3,5,8},{4,6,7}}=>8 {{1},{2,3,4,6,8},{5,7}}=>8 {{1,5,6,8},{2,3,7},{4}}=>8 {{1,3},{2,4,5,6,8},{7}}=>8 {{1,6,7},{2,3,4,5,8}}=>8 {{1,4,5},{2,3,7,8},{6}}=>8 {{1,4,6,8},{2,3,5,7}}=>8 {{1,4,8},{2,3,6,7},{5}}=>8 {{1,5},{2,6,7,8},{3,4}}=>8 {{1,2,6},{3,5,7,8},{4}}=>8 {{1},{2,3,6},{4,5,7,8}}=>8 {{1},{2,4},{3,5,6,7,8}}=>8 {{1,5},{2,3,6,7,8},{4}}=>8 {{1,5},{2,3,4,7,8},{6}}=>8 {{1,4,5,8},{2,3,7},{6}}=>8 {{1,4,5,6},{2,3,7,8}}=>8 {{1,5},{2,4,6,7},{3,8}}=>8 {{1,3,5,6,7},{2},{4,8}}=>8 {{1,8},{2,3,4,6},{5,7}}=>8 {{1,8},{2,3,5,6},{4,7}}=>8 {{1,8},{2,4},{3,5,6,7}}=>8 {{1,8},{2,5},{3,4,6,7}}=>8 {{1,8},{2,4,5,7},{3,6}}=>8 {{1,7},{2,3},{4,5,6,8}}=>8 {{1,6},{2,3},{4,5,7,8}}=>8 {{1,7},{2,3,5,6},{4,8}}=>8 {{1,6},{2,3,5,7},{4,8}}=>8 {{1,6},{2,3,4,7},{5,8}}=>8 {{1,7},{2,3,4,6},{5,8}}=>8 {{1,7},{2,3,4,5},{6,8}}=>8 {{1,6,7,8},{2,4},{3,5}}=>8 {{1,4,7,8},{2,3,5,6}}=>8 {{1,5,7,8},{2,4},{3,6}}=>8 {{1,5,7,8},{2,3},{4,6}}=>8 {{1,5,6,8},{2,3},{4,7}}=>8 {{1,5,6,8},{2,4},{3,7}}=>8 {{1,4,6,7},{2,3},{5,8}}=>8 {{1,6,8},{2,3,4,5,7}}=>8 {{1,6,7},{2,4,5,8},{3}}=>8 {{1,3,5,8},{2,7},{4,6}}=>8 {{1,4,5,8},{2,3,6},{7}}=>8 {{1,5,7},{2,3,4,6,8}}=>8 {{1,5},{2,4,6,7,8},{3}}=>8 {{1,7},{2,4,5,6,8},{3}}=>8 {{1,3},{2,4,6,8},{5,7}}=>4 {{1,4,8},{2,3,5,6,7}}=>8 {{1,3},{2,4,5,6,7},{8}}=>8 {{1},{2,5},{3,4,6,7,8}}=>8 {{1,4},{2,3,5,6,7},{8}}=>8 {{1,2,4},{3,5,6,7},{8}}=>8 {{1},{2,6},{3,4,5,7,8}}=>8 {{1},{2,3,4,6},{5,7,8}}=>8 {{1,5},{2,3,4,6,7},{8}}=>8 {{1,2,4,5,7},{3},{6,8}}=>8 {{1,4,5},{2},{3,6,7,8}}=>8 {{1,3,4,6,8},{2},{5,7}}=>8 {{1,3,4,5,7},{2},{6,8}}=>8 {{1,4,5,7,8},{2},{3,6}}=>8 {{1,2,5,6,7},{3},{4,8}}=>8 {{1,4,6,8},{2},{3,5,7}}=>8 {{1,3,4,7},{2,8},{5,6}}=>8 {{1,3,5,7},{2,8},{4,6}}=>4 {{1,4,5,6},{2,8},{3,7}}=>8 {{1,2,7},{3},{4,5,6,8}}=>8 {{1},{2,4,8},{3,5,6,7}}=>8 {{1,4,5,6,7},{2},{3,8}}=>8 {{1,3,5},{2,4,6,7,8}}=>8 {{1,5,6,7},{2,4},{3,8}}=>8 {{1,6,8},{2,3,5,7},{4}}=>8 {{1,4,5,6,7},{2,3,8}}=>8 {{1,5},{2,3,4,7},{6,8}}=>8 {{1,2,4,6,8},{3},{5,7}}=>8 {{1,3,8},{2,4,5,6,7}}=>8 {{1,3,4,6},{2,8},{5,7}}=>8 {{1,3},{2,7},{4,5,6,8}}=>8 {{1,2,7},{3,4,6,8},{5}}=>8 {{1,3,4,8},{2,7},{5,6}}=>8 {{1,6,8},{2,3,4,7},{5}}=>8 {{1,2,5,6,8},{3},{4,7}}=>8 {{1,3,4},{2,6,7,8},{5}}=>8 {{1,5,8},{2,3,4,6},{7}}=>8 {{1,3,6},{2,5,7,8},{4}}=>8 {{1,3},{2,4,5,7,8},{6}}=>8 {{1,5,6},{2,4,7,8},{3}}=>8 {{1,5,8},{2,4,6,7},{3}}=>8 {{1,5,7,8},{2,4,6},{3}}=>8 {{1,7},{2,3,5,8},{4,6}}=>8 {{1,2},{3,5,7,8},{4,6}}=>8 {{1,5,7,8},{2,6},{3,4}}=>8 {{1},{2,4,5,8},{3,6,7}}=>8 {{1,2,6},{3,4,5,7},{8}}=>8 {{1,4,5,7},{2,3,8},{6}}=>8 {{1,3,6},{2,4,5,8},{7}}=>8 {{1,3,5},{2,4,6,7},{8}}=>8 {{1},{2,4,6},{3,5,7,8}}=>8 {{1,3,5,6},{2,8},{4,7}}=>8 {{1,5},{2,3,4,6},{7,8}}=>8 {{1,3,6,7},{2,8},{4,5}}=>8 {{1,2,7},{3,4,5,6,8}}=>8 {{1,7},{2,6},{3,4,5,8}}=>8 {{1,2},{3,7},{4,5,6,8}}=>8 {{1,7},{2,5,6,8},{3,4}}=>8 {{1,5},{2,4,7,8},{3,6}}=>8 {{1,6},{2,4,7,8},{3,5}}=>8 {{1,4,6,7},{2,8},{3,5}}=>8 {{1,3,6,8},{2,4,5},{7}}=>8 {{1,4},{2,3,5,8},{6,7}}=>8 {{1,7},{2,3,4,6,8},{5}}=>8 {{1,3,7},{2},{4,5,6,8}}=>8 {{1,2,6},{3},{4,5,7,8}}=>8 {{1,4,8},{2},{3,5,6,7}}=>8 {{1,5},{2},{3,4,6,7,8}}=>8 {{1,6},{2,3,7,8},{4,5}}=>8 {{1,6},{2,8},{3,4,5,7}}=>8 {{1,4,5,8},{2},{3,6,7}}=>8 {{1,8},{2,4,5,6},{3,7}}=>8 {{1,2},{3,4,6,8},{5,7}}=>8 {{1,4,6,7,8},{2},{3,5}}=>8 {{1,3,4},{2,5,6,7},{8}}=>8 {{1,4,6,7},{2,3,5},{8}}=>8 {{1,3,7},{2,4,5,6},{8}}=>8 {{1,2,3,7},{4},{5,6,8}}=>8 {{1},{2,7},{3,4,5,6,8}}=>8 {{1,2,3,4,7},{5},{6,8}}=>8 {{1,4},{2,3,6,8},{5,7}}=>8 {{1,4},{2,3,6,7,8},{5}}=>8 {{1,4,5},{2,3,6,7,8}}=>8 {{1,4,6,8},{2,3},{5,7}}=>8 {{1,6},{2},{3,4,5,7,8}}=>8 {{1,3,6,8},{2,7},{4,5}}=>8 {{1,2,4},{3,6,7,8},{5}}=>8 {{1,2,4},{3,5,6,8},{7}}=>8 {{1,6,7},{2,3,5,8},{4}}=>8 {{1,3,5,8},{2,4,6,7}}=>8 {{1,6,8},{2,4,5,7},{3}}=>8 {{1,5,7,8},{2,3,6},{4}}=>8 {{1,2,3,6},{4},{5,7,8}}=>8 {{1,5,7,8},{2},{3,4,6}}=>8 {{1,3,4,6},{2},{5,7,8}}=>8 {{1,2,4},{3,5,7,8},{6}}=>8 {{1,5,6,8},{2,7},{3,4}}=>8 {{1,4,6},{2,3,5,8},{7}}=>8 {{1,6},{2,3,5,8},{4,7}}=>8 {{1,3,6},{2,4,5,7,8}}=>8 {{1,3,4},{2,5,7,8},{6}}=>8 {{1,4,5,6},{2},{3,7,8}}=>8 {{1,2,5,7,8},{3},{4,6}}=>8 {{1},{2,4,7},{3,5,6,8}}=>8 {{1},{2,4,5,7},{3,6,8}}=>8 {{1,2,6,8},{3},{4,5,7}}=>8 {{1,4,6,8},{2,3,5},{7}}=>8 {{1,3,6},{2,4,5,7},{8}}=>8 {{1},{2,3,4,6,7},{5,8}}=>8 {{1,3},{2,8},{4,5,6,7}}=>8 {{1,4},{2,5,6,7},{3,8}}=>8 {{1,4},{2,8},{3,5,6,7}}=>8 {{1,5},{2,8},{3,4,6,7}}=>8 {{1,2,3,6,8},{4},{5,7}}=>8 {{1},{2,4,5,6,7},{3,8}}=>8 {{1,7},{2,3,5,6,8},{4}}=>8 {{1,4,7},{2,3,6,8},{5}}=>8 {{1,5,7},{2,3,4,6},{8}}=>8 {{1,3},{2,4,6,7,8},{5}}=>8 {{1,4,6},{2},{3,5,7,8}}=>8 {{1,7},{2,4,6,8},{3,5}}=>4 {{1,4,5,6},{2,3,7},{8}}=>8 {{1},{2,4,6,7},{3,5,8}}=>8 {{1,5,6,7},{2,8},{3,4}}=>8 {{1,7},{2,8},{3,4,5,6}}=>8 {{1,7},{2},{3,4,5,6,8}}=>8 {{1},{2,3,6,8},{4,5,7}}=>8 {{1,5},{2,4},{3,6,7,8}}=>8 {{1,4,6,7},{2},{3,5,8}}=>8 {{1,5},{2,3,4,6,8},{7}}=>8 {{1,4,8},{2,5,6,7},{3}}=>8 {{1,5,8},{2,3,6,7},{4}}=>8 {{1,4,7},{2,3,5,8},{6}}=>8 {{1},{2,4,5},{3,6,7,8}}=>8 {{1,4,7},{2},{3,5,6,8}}=>8 {{1,5,6,7},{2,3},{4,8}}=>8 {{1,4},{2,5,7,8},{3,6}}=>8 {{1,7},{2,3,4,8},{5,6}}=>8 {{1,4,7,8},{2,5,6},{3}}=>8 {{1,3,5,7,8},{2},{4,6}}=>8 {{1,4,7,8},{2},{3,5,6}}=>8 {{1,6},{2,3,4,8},{5,7}}=>8 {{1,3,8},{2,5,6,7},{4}}=>8 {{1,4,5,6,8},{2},{3,7}}=>8 {{1,5},{2,3,7,8},{4,6}}=>8 {{1},{2,4,5,6,8},{3,7}}=>8 {{1},{2,6,8},{3,4,5,7}}=>8 {{1,7},{2,3,4,5,8},{6}}=>8 {{1,7},{2,4,5,6},{3,8}}=>8 {{1,6},{2,3,4,5,8},{7}}=>8 {{1,6},{2,3,4,5,7},{8}}=>8 {{1,3,6,8},{2},{4,5,7}}=>8 {{1,2,6,7},{3},{4,5,8}}=>8 {{1,3,4},{2,5,6,8},{7}}=>8 {{1,3},{2,6,7,8},{4,5}}=>8 {{1},{2,6,7},{3,4,5,8}}=>8 {{1,3,5},{2,6,7,8},{4}}=>8 {{1,4,6,8},{2,7},{3,5}}=>8 {{1},{2,4,5,6},{3,7,8}}=>8 {{1,2,5,6},{3},{4,7,8}}=>8 {{1,4,5},{2,6,7,8},{3}}=>8 {{1,4,7},{2,5,6,8},{3}}=>8 {{1,4,5},{2,3,6,7},{8}}=>8 {{1,4},{2,3,7,8},{5,6}}=>8 {{1,3,5},{2},{4,6,7,8}}=>8 {{1,2,7},{3,5,6,8},{4}}=>8 {{1,4,6},{2,5,7,8},{3}}=>8 {{1},{2,3,6,7},{4,5,8}}=>8 {{1,3,6,7},{2},{4,5,8}}=>8 {{1},{2,3,5,6,7},{4,8}}=>8 {{1,5,8},{2,3,4,7},{6}}=>8 {{1,2,7},{3,4,5,8},{6}}=>8 {{1,2,5},{3,4,7,8},{6}}=>8 {{1,3,7,8},{2,6},{4,5}}=>8 {{1,6},{2,7},{3,4,5,8}}=>8 {{1,3,7,8},{2,5,6},{4}}=>8 {{1},{2,5,6,8},{3,4,7}}=>8 {{1,3,8},{2,4,5,7},{6}}=>8 {{1},{2,5,7,8},{3,4,6}}=>8 {{1,3,5},{2,4,7,8},{6}}=>8 {{1,3},{2,5,6,7},{4,8}}=>8 {{1,2,5},{3,4,6,7},{8}}=>8 {{1,3,6,7},{2,4,5},{8}}=>8 {{1,4,6,8},{2,3,7},{5}}=>8 {{1,4,5,7},{2,3},{6,8}}=>8 {{1,4,5,7},{2},{3,6,8}}=>8 {{1,2},{3,5,6,7},{4,8}}=>8 {{1,7},{2,3,6,8},{4,5}}=>8 {{1,4,5,7},{2,3,6},{8}}=>8 {{1},{2,5,6},{3,4,7,8}}=>8 {{1,3,8},{2,4,5,6},{7}}=>8 {{1,3,7,8},{2,4,5},{6}}=>8 {{1,2,6},{3,4,7,8},{5}}=>8 {{1,5,6},{2},{3,4,7,8}}=>8 {{1,5,7},{2},{3,4,6,8}}=>8 {{1,8},{2,6},{3,4,5,7}}=>8 {{1,3,5,6},{2},{4,7,8}}=>8 {{1,4,5,6},{2,3,8},{7}}=>8 {{1,2,5},{3,6,7,8},{4}}=>8 {{1,2,5},{3,4,6,8},{7}}=>8 {{1,3,7,8},{2,4,6},{5}}=>8 {{1,3,5,8},{2},{4,6,7}}=>8 {{1,6,8},{2},{3,4,5,7}}=>8 {{1,2,3,5,7},{4},{6,8}}=>8 {{1,5,6,8},{2},{3,4,7}}=>8 {{1,3},{2,4,7,8},{5,6}}=>8 {{1,4},{2,6,7,8},{3,5}}=>8 {{1,5,6},{2,3,7,8},{4}}=>8 {{1,2,5},{3},{4,6,7,8}}=>8 {{1,4},{2,5,6,7,8},{3}}=>8 {{1,4,5},{2,3,6,8},{7}}=>8 {{1,4,6},{2,3,5,7},{8}}=>8 {{1,2,4,7},{3},{5,6,8}}=>8 {{1,3,6},{2,4,7,8},{5}}=>8 {{1},{2,5,7},{3,4,6,8}}=>8 {{1,3},{2,4,5,8},{6,7}}=>8 {{1,2,5,8},{3},{4,6,7}}=>8 {{1,4,7,8},{2,3,5},{6}}=>8 {{1,8},{2,4,6,7},{3,5}}=>8 {{1,8},{2,3,5,7},{4,6}}=>8 {{1,6,7},{2},{3,4,5,8}}=>8 {{1,2,3,4,5,6,7,8},{9}}=>9 {{1},{2,3,4,5,6,7,8,9}}=>9 {{1,2,3,4,5,6,8},{7},{9}}=>9 {{1},{2,3,4,5,6,7,9},{8}}=>9 {{1,2,3,4,5,8},{6,7},{9}}=>9 {{1,2,3,4,5,7,8},{6},{9}}=>9 {{1},{2,3,4,5,6,9},{7,8}}=>9 {{1},{2,3,4,5,6,8,9},{7}}=>9 {{1,2},{3,4},{5,6},{7,8},{9,10}}=>2 {{1,4},{2,3},{5,6},{7,8},{9,10}}=>10 {{1,6},{2,3},{4,5},{7,8},{9,10}}=>5 {{1,8},{2,3},{4,5},{6,7},{9,10}}=>10 {{1,10},{2,3},{4,5},{6,7},{8,9}}=>2 {{1,2},{3,6},{4,5},{7,8},{9,10}}=>10 {{1,6},{2,5},{3,4},{7,8},{9,10}}=>10 {{1,8},{2,5},{3,4},{6,7},{9,10}}=>10 {{1,10},{2,5},{3,4},{6,7},{8,9}}=>10 {{1,2},{3,8},{4,5},{6,7},{9,10}}=>5 {{1,8},{2,7},{3,4},{5,6},{9,10}}=>10 {{1,10},{2,7},{3,4},{5,6},{8,9}}=>5 {{1,2},{3,10},{4,5},{6,7},{8,9}}=>10 {{1,10},{2,9},{3,4},{5,6},{7,8}}=>10 {{1,2},{3,4},{5,8},{6,7},{9,10}}=>10 {{1,4},{2,3},{5,8},{6,7},{9,10}}=>10 {{1,8},{2,3},{4,7},{5,6},{9,10}}=>10 {{1,10},{2,3},{4,7},{5,6},{8,9}}=>10 {{1,2},{3,8},{4,7},{5,6},{9,10}}=>10 {{1,8},{2,7},{3,6},{4,5},{9,10}}=>5 {{1,10},{2,7},{3,6},{4,5},{8,9}}=>10 {{1,2},{3,10},{4,7},{5,6},{8,9}}=>10 {{1,10},{2,9},{3,6},{4,5},{7,8}}=>10 {{1,2},{3,4},{5,10},{6,7},{8,9}}=>5 {{1,4},{2,3},{5,10},{6,7},{8,9}}=>10 {{1,10},{2,3},{4,9},{5,6},{7,8}}=>5 {{1,2},{3,10},{4,9},{5,6},{7,8}}=>10 {{1,10},{2,9},{3,8},{4,5},{6,7}}=>10 {{1,2},{3,4},{5,6},{7,10},{8,9}}=>10 {{1,4},{2,3},{5,6},{7,10},{8,9}}=>10 {{1,6},{2,3},{4,5},{7,10},{8,9}}=>10 {{1,10},{2,3},{4,5},{6,9},{7,8}}=>10 {{1,2},{3,6},{4,5},{7,10},{8,9}}=>10 {{1,6},{2,5},{3,4},{7,10},{8,9}}=>5 {{1,10},{2,5},{3,4},{6,9},{7,8}}=>10 {{1,2},{3,10},{4,5},{6,9},{7,8}}=>10 {{1,10},{2,9},{3,4},{5,8},{6,7}}=>10 {{1,2},{3,4},{5,10},{6,9},{7,8}}=>10 {{1,4},{2,3},{5,10},{6,9},{7,8}}=>5 {{1,10},{2,3},{4,9},{5,8},{6,7}}=>10 {{1,2},{3,10},{4,9},{5,8},{6,7}}=>5 {{1,10},{2,9},{3,8},{4,7},{5,6}}=>5 {{1,2,3,4,5,6,7,8,9},{10}}=>10 {{1},{2,3,4,5,6,7,8,9,10}}=>10 {{1,2,3,4,5,6,7,9},{8},{10}}=>10 {{1},{2,3,4,5,6,7,8,10},{9}}=>10 {{1,2,3,4,5,6,7,8,9,10},{11}}=>11 {{1},{2,3,4,5,6,7,8,9,10,11}}=>11 {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>2 {{1,2},{3,4},{5,6},{7,8},{9,12},{10,11}}=>12 {{1,2},{3,4},{5,6},{7,10},{8,9},{11,12}}=>12 {{1,2},{3,4},{5,6},{7,12},{8,9},{10,11}}=>12 {{1,2},{3,4},{5,6},{7,12},{8,11},{9,10}}=>12 {{1,2},{3,4},{5,8},{6,7},{9,10},{11,12}}=>12 {{1,2},{3,4},{5,8},{6,7},{9,12},{10,11}}=>12 {{1,2},{3,4},{5,10},{6,7},{8,9},{11,12}}=>12 {{1,2},{3,4},{5,12},{6,7},{8,9},{10,11}}=>12 {{1,2},{3,4},{5,12},{6,7},{8,11},{9,10}}=>12 {{1,2},{3,4},{5,10},{6,9},{7,8},{11,12}}=>12 {{1,2},{3,4},{5,12},{6,9},{7,8},{10,11}}=>12 {{1,2},{3,4},{5,12},{6,11},{7,8},{9,10}}=>6 {{1,2},{3,4},{5,12},{6,11},{7,10},{8,9}}=>12 {{1,2},{3,6},{4,5},{7,8},{9,10},{11,12}}=>12 {{1,2},{3,6},{4,5},{7,8},{9,12},{10,11}}=>6 {{1,2},{3,6},{4,5},{7,10},{8,9},{11,12}}=>12 {{1,2},{3,6},{4,5},{7,12},{8,9},{10,11}}=>12 {{1,2},{3,6},{4,5},{7,12},{8,11},{9,10}}=>12 {{1,2},{3,8},{4,5},{6,7},{9,10},{11,12}}=>12 {{1,2},{3,8},{4,5},{6,7},{9,12},{10,11}}=>12 {{1,2},{3,10},{4,5},{6,7},{8,9},{11,12}}=>12 {{1,2},{3,12},{4,5},{6,7},{8,9},{10,11}}=>12 {{1,2},{3,12},{4,5},{6,7},{8,11},{9,10}}=>12 {{1,2},{3,10},{4,5},{6,9},{7,8},{11,12}}=>12 {{1,2},{3,12},{4,5},{6,9},{7,8},{10,11}}=>6 {{1,2},{3,12},{4,5},{6,11},{7,8},{9,10}}=>12 {{1,2},{3,12},{4,5},{6,11},{7,10},{8,9}}=>12 {{1,2},{3,8},{4,7},{5,6},{9,10},{11,12}}=>12 {{1,2},{3,8},{4,7},{5,6},{9,12},{10,11}}=>12 {{1,2},{3,10},{4,7},{5,6},{8,9},{11,12}}=>12 {{1,2},{3,12},{4,7},{5,6},{8,9},{10,11}}=>12 {{1,2},{3,12},{4,7},{5,6},{8,11},{9,10}}=>4 {{1,2},{3,10},{4,9},{5,6},{7,8},{11,12}}=>6 {{1,2},{3,12},{4,9},{5,6},{7,8},{10,11}}=>12 {{1,2},{3,12},{4,11},{5,6},{7,8},{9,10}}=>12 {{1,2},{3,12},{4,11},{5,6},{7,10},{8,9}}=>12 {{1,2},{3,10},{4,9},{5,8},{6,7},{11,12}}=>12 {{1,2},{3,12},{4,9},{5,8},{6,7},{10,11}}=>12 {{1,2},{3,12},{4,11},{5,8},{6,7},{9,10}}=>12 {{1,2},{3,12},{4,11},{5,10},{6,7},{8,9}}=>12 {{1,2},{3,12},{4,11},{5,10},{6,9},{7,8}}=>6 {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12}}=>12 {{1,4},{2,3},{5,6},{7,8},{9,12},{10,11}}=>12 {{1,4},{2,3},{5,6},{7,10},{8,9},{11,12}}=>6 {{1,4},{2,3},{5,6},{7,12},{8,9},{10,11}}=>12 {{1,4},{2,3},{5,6},{7,12},{8,11},{9,10}}=>12 {{1,4},{2,3},{5,8},{6,7},{9,10},{11,12}}=>12 {{1,4},{2,3},{5,8},{6,7},{9,12},{10,11}}=>4 {{1,4},{2,3},{5,10},{6,7},{8,9},{11,12}}=>12 {{1,4},{2,3},{5,12},{6,7},{8,9},{10,11}}=>12 {{1,4},{2,3},{5,12},{6,7},{8,11},{9,10}}=>12 {{1,4},{2,3},{5,10},{6,9},{7,8},{11,12}}=>12 {{1,4},{2,3},{5,12},{6,9},{7,8},{10,11}}=>12 {{1,4},{2,3},{5,12},{6,11},{7,8},{9,10}}=>12 {{1,4},{2,3},{5,12},{6,11},{7,10},{8,9}}=>6 {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12}}=>12 {{1,6},{2,3},{4,5},{7,8},{9,12},{10,11}}=>12 {{1,6},{2,3},{4,5},{7,10},{8,9},{11,12}}=>12 {{1,6},{2,3},{4,5},{7,12},{8,9},{10,11}}=>6 {{1,6},{2,3},{4,5},{7,12},{8,11},{9,10}}=>12 {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12}}=>12 {{1,8},{2,3},{4,5},{6,7},{9,12},{10,11}}=>12 {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12}}=>12 {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11}}=>2 {{1,12},{2,3},{4,5},{6,7},{8,11},{9,10}}=>12 {{1,10},{2,3},{4,5},{6,9},{7,8},{11,12}}=>12 {{1,12},{2,3},{4,5},{6,9},{7,8},{10,11}}=>12 {{1,12},{2,3},{4,5},{6,11},{7,8},{9,10}}=>12 {{1,12},{2,3},{4,5},{6,11},{7,10},{8,9}}=>12 {{1,8},{2,3},{4,7},{5,6},{9,10},{11,12}}=>12 {{1,8},{2,3},{4,7},{5,6},{9,12},{10,11}}=>12 {{1,10},{2,3},{4,7},{5,6},{8,9},{11,12}}=>6 {{1,12},{2,3},{4,7},{5,6},{8,9},{10,11}}=>12 {{1,12},{2,3},{4,7},{5,6},{8,11},{9,10}}=>12 {{1,10},{2,3},{4,9},{5,6},{7,8},{11,12}}=>12 {{1,12},{2,3},{4,9},{5,6},{7,8},{10,11}}=>12 {{1,12},{2,3},{4,11},{5,6},{7,8},{9,10}}=>12 {{1,12},{2,3},{4,11},{5,6},{7,10},{8,9}}=>12 {{1,10},{2,3},{4,9},{5,8},{6,7},{11,12}}=>12 {{1,12},{2,3},{4,9},{5,8},{6,7},{10,11}}=>12 {{1,12},{2,3},{4,11},{5,8},{6,7},{9,10}}=>12 {{1,12},{2,3},{4,11},{5,10},{6,7},{8,9}}=>6 {{1,12},{2,3},{4,11},{5,10},{6,9},{7,8}}=>12 {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12}}=>12 {{1,6},{2,5},{3,4},{7,8},{9,12},{10,11}}=>12 {{1,6},{2,5},{3,4},{7,10},{8,9},{11,12}}=>12 {{1,6},{2,5},{3,4},{7,12},{8,9},{10,11}}=>12 {{1,6},{2,5},{3,4},{7,12},{8,11},{9,10}}=>6 {{1,8},{2,5},{3,4},{6,7},{9,10},{11,12}}=>12 {{1,8},{2,5},{3,4},{6,7},{9,12},{10,11}}=>12 {{1,10},{2,5},{3,4},{6,7},{8,9},{11,12}}=>12 {{1,12},{2,5},{3,4},{6,7},{8,9},{10,11}}=>12 {{1,12},{2,5},{3,4},{6,7},{8,11},{9,10}}=>6 {{1,10},{2,5},{3,4},{6,9},{7,8},{11,12}}=>4 {{1,12},{2,5},{3,4},{6,9},{7,8},{10,11}}=>12 {{1,12},{2,5},{3,4},{6,11},{7,8},{9,10}}=>12 {{1,12},{2,5},{3,4},{6,11},{7,10},{8,9}}=>12 {{1,8},{2,7},{3,4},{5,6},{9,10},{11,12}}=>6 {{1,8},{2,7},{3,4},{5,6},{9,12},{10,11}}=>12 {{1,10},{2,7},{3,4},{5,6},{8,9},{11,12}}=>12 {{1,12},{2,7},{3,4},{5,6},{8,9},{10,11}}=>12 {{1,12},{2,7},{3,4},{5,6},{8,11},{9,10}}=>12 {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12}}=>12 {{1,12},{2,9},{3,4},{5,6},{7,8},{10,11}}=>12 {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10}}=>12 {{1,12},{2,11},{3,4},{5,6},{7,10},{8,9}}=>12 {{1,10},{2,9},{3,4},{5,8},{6,7},{11,12}}=>12 {{1,12},{2,9},{3,4},{5,8},{6,7},{10,11}}=>12 {{1,12},{2,11},{3,4},{5,8},{6,7},{9,10}}=>6 {{1,12},{2,11},{3,4},{5,10},{6,7},{8,9}}=>12 {{1,12},{2,11},{3,4},{5,10},{6,9},{7,8}}=>12 {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12}}=>12 {{1,8},{2,7},{3,6},{4,5},{9,12},{10,11}}=>6 {{1,10},{2,7},{3,6},{4,5},{8,9},{11,12}}=>12 {{1,12},{2,7},{3,6},{4,5},{8,9},{10,11}}=>12 {{1,12},{2,7},{3,6},{4,5},{8,11},{9,10}}=>12 {{1,10},{2,9},{3,6},{4,5},{7,8},{11,12}}=>12 {{1,12},{2,9},{3,6},{4,5},{7,8},{10,11}}=>12 {{1,12},{2,11},{3,6},{4,5},{7,8},{9,10}}=>12 {{1,12},{2,11},{3,6},{4,5},{7,10},{8,9}}=>4 {{1,10},{2,9},{3,8},{4,5},{6,7},{11,12}}=>12 {{1,12},{2,9},{3,8},{4,5},{6,7},{10,11}}=>6 {{1,12},{2,11},{3,8},{4,5},{6,7},{9,10}}=>12 {{1,12},{2,11},{3,10},{4,5},{6,7},{8,9}}=>12 {{1,12},{2,11},{3,10},{4,5},{6,9},{7,8}}=>12 {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12}}=>6 {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11}}=>12 {{1,12},{2,11},{3,8},{4,7},{5,6},{9,10}}=>12 {{1,12},{2,11},{3,10},{4,7},{5,6},{8,9}}=>12 {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8}}=>12 {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}=>6
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Description
The size of the orbit of the set partition under rotation.
Code
def statistic(pi):
    n = sum(len(b) for b in pi)
    counter = 1
    shift = Permutation([2..n]+[1])
    tau = pi.apply_permutation(shift)
    while tau != pi:
        tau = tau.apply_permutation(shift)
        counter += 1
    return counter
Created
Sep 24, 2013 at 05:03 by Jessica Striker
Updated
Dec 28, 2017 at 20:48 by Martin Rubey