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Identifier
Values
=>
Cc0009;cc-rep
{{1,2}}=>0 {{1},{2}}=>0 {{1,2,3}}=>0 {{1,2},{3}}=>0 {{1,3},{2}}=>0 {{1},{2,3}}=>0 {{1},{2},{3}}=>0 {{1,2,3,4}}=>0 {{1,2,3},{4}}=>0 {{1,2,4},{3}}=>0 {{1,2},{3,4}}=>0 {{1,2},{3},{4}}=>0 {{1,3,4},{2}}=>0 {{1,3},{2,4}}=>1 {{1,3},{2},{4}}=>0 {{1,4},{2,3}}=>0 {{1},{2,3,4}}=>0 {{1},{2,3},{4}}=>0 {{1,4},{2},{3}}=>0 {{1},{2,4},{3}}=>0 {{1},{2},{3,4}}=>0 {{1},{2},{3},{4}}=>0 {{1,2,3,4,5}}=>0 {{1,2,3,4},{5}}=>0 {{1,2,3,5},{4}}=>0 {{1,2,3},{4,5}}=>0 {{1,2,3},{4},{5}}=>0 {{1,2,4,5},{3}}=>0 {{1,2,4},{3,5}}=>1 {{1,2,4},{3},{5}}=>0 {{1,2,5},{3,4}}=>0 {{1,2},{3,4,5}}=>0 {{1,2},{3,4},{5}}=>0 {{1,2,5},{3},{4}}=>0 {{1,2},{3,5},{4}}=>0 {{1,2},{3},{4,5}}=>0 {{1,2},{3},{4},{5}}=>0 {{1,3,4,5},{2}}=>0 {{1,3,4},{2,5}}=>1 {{1,3,4},{2},{5}}=>0 {{1,3,5},{2,4}}=>0 {{1,3},{2,4,5}}=>1 {{1,3},{2,4},{5}}=>1 {{1,3,5},{2},{4}}=>0 {{1,3},{2,5},{4}}=>1 {{1,3},{2},{4,5}}=>0 {{1,3},{2},{4},{5}}=>0 {{1,4,5},{2,3}}=>0 {{1,4},{2,3,5}}=>1 {{1,4},{2,3},{5}}=>0 {{1,5},{2,3,4}}=>0 {{1},{2,3,4,5}}=>0 {{1},{2,3,4},{5}}=>0 {{1,5},{2,3},{4}}=>0 {{1},{2,3,5},{4}}=>0 {{1},{2,3},{4,5}}=>0 {{1},{2,3},{4},{5}}=>0 {{1,4,5},{2},{3}}=>0 {{1,4},{2,5},{3}}=>1 {{1,4},{2},{3,5}}=>1 {{1,4},{2},{3},{5}}=>0 {{1,5},{2,4},{3}}=>0 {{1},{2,4,5},{3}}=>0 {{1},{2,4},{3,5}}=>1 {{1},{2,4},{3},{5}}=>0 {{1,5},{2},{3,4}}=>0 {{1},{2,5},{3,4}}=>0 {{1},{2},{3,4,5}}=>0 {{1},{2},{3,4},{5}}=>0 {{1,5},{2},{3},{4}}=>0 {{1},{2,5},{3},{4}}=>0 {{1},{2},{3,5},{4}}=>0 {{1},{2},{3},{4,5}}=>0 {{1},{2},{3},{4},{5}}=>0 {{1,2,3,4,5,6}}=>0 {{1,2,3,4,5},{6}}=>0 {{1,2,3,4,6},{5}}=>0 {{1,2,3,4},{5,6}}=>0 {{1,2,3,4},{5},{6}}=>0 {{1,2,3,5,6},{4}}=>0 {{1,2,3,5},{4,6}}=>1 {{1,2,3,5},{4},{6}}=>0 {{1,2,3,6},{4,5}}=>0 {{1,2,3},{4,5,6}}=>0 {{1,2,3},{4,5},{6}}=>0 {{1,2,3,6},{4},{5}}=>0 {{1,2,3},{4,6},{5}}=>0 {{1,2,3},{4},{5,6}}=>0 {{1,2,3},{4},{5},{6}}=>0 {{1,2,4,5,6},{3}}=>0 {{1,2,4,5},{3,6}}=>1 {{1,2,4,5},{3},{6}}=>0 {{1,2,4,6},{3,5}}=>0 {{1,2,4},{3,5,6}}=>1 {{1,2,4},{3,5},{6}}=>1 {{1,2,4,6},{3},{5}}=>0 {{1,2,4},{3,6},{5}}=>1 {{1,2,4},{3},{5,6}}=>0 {{1,2,4},{3},{5},{6}}=>0 {{1,2,5,6},{3,4}}=>0 {{1,2,5},{3,4,6}}=>1 {{1,2,5},{3,4},{6}}=>0 {{1,2,6},{3,4,5}}=>0 {{1,2},{3,4,5,6}}=>0 {{1,2},{3,4,5},{6}}=>0 {{1,2,6},{3,4},{5}}=>0 {{1,2},{3,4,6},{5}}=>0 {{1,2},{3,4},{5,6}}=>0 {{1,2},{3,4},{5},{6}}=>0 {{1,2,5,6},{3},{4}}=>0 {{1,2,5},{3,6},{4}}=>1 {{1,2,5},{3},{4,6}}=>1 {{1,2,5},{3},{4},{6}}=>0 {{1,2,6},{3,5},{4}}=>0 {{1,2},{3,5,6},{4}}=>0 {{1,2},{3,5},{4,6}}=>1 {{1,2},{3,5},{4},{6}}=>0 {{1,2,6},{3},{4,5}}=>0 {{1,2},{3,6},{4,5}}=>0 {{1,2},{3},{4,5,6}}=>0 {{1,2},{3},{4,5},{6}}=>0 {{1,2,6},{3},{4},{5}}=>0 {{1,2},{3,6},{4},{5}}=>0 {{1,2},{3},{4,6},{5}}=>0 {{1,2},{3},{4},{5,6}}=>0 {{1,2},{3},{4},{5},{6}}=>0 {{1,3,4,5,6},{2}}=>0 {{1,3,4,5},{2,6}}=>1 {{1,3,4,5},{2},{6}}=>0 {{1,3,4,6},{2,5}}=>0 {{1,3,4},{2,5,6}}=>1 {{1,3,4},{2,5},{6}}=>1 {{1,3,4,6},{2},{5}}=>0 {{1,3,4},{2,6},{5}}=>1 {{1,3,4},{2},{5,6}}=>0 {{1,3,4},{2},{5},{6}}=>0 {{1,3,5,6},{2,4}}=>0 {{1,3,5},{2,4,6}}=>1 {{1,3,5},{2,4},{6}}=>0 {{1,3,6},{2,4,5}}=>0 {{1,3},{2,4,5,6}}=>1 {{1,3},{2,4,5},{6}}=>1 {{1,3,6},{2,4},{5}}=>0 {{1,3},{2,4,6},{5}}=>1 {{1,3},{2,4},{5,6}}=>1 {{1,3},{2,4},{5},{6}}=>1 {{1,3,5,6},{2},{4}}=>0 {{1,3,5},{2,6},{4}}=>1 {{1,3,5},{2},{4,6}}=>1 {{1,3,5},{2},{4},{6}}=>0 {{1,3,6},{2,5},{4}}=>0 {{1,3},{2,5,6},{4}}=>1 {{1,3},{2,5},{4,6}}=>2 {{1,3},{2,5},{4},{6}}=>1 {{1,3,6},{2},{4,5}}=>0 {{1,3},{2,6},{4,5}}=>1 {{1,3},{2},{4,5,6}}=>0 {{1,3},{2},{4,5},{6}}=>0 {{1,3,6},{2},{4},{5}}=>0 {{1,3},{2,6},{4},{5}}=>1 {{1,3},{2},{4,6},{5}}=>0 {{1,3},{2},{4},{5,6}}=>0 {{1,3},{2},{4},{5},{6}}=>0 {{1,4,5,6},{2,3}}=>0 {{1,4,5},{2,3,6}}=>1 {{1,4,5},{2,3},{6}}=>0 {{1,4,6},{2,3,5}}=>0 {{1,4},{2,3,5,6}}=>1 {{1,4},{2,3,5},{6}}=>1 {{1,4,6},{2,3},{5}}=>0 {{1,4},{2,3,6},{5}}=>1 {{1,4},{2,3},{5,6}}=>0 {{1,4},{2,3},{5},{6}}=>0 {{1,5,6},{2,3,4}}=>0 {{1,5},{2,3,4,6}}=>1 {{1,5},{2,3,4},{6}}=>0 {{1,6},{2,3,4,5}}=>0 {{1},{2,3,4,5,6}}=>0 {{1},{2,3,4,5},{6}}=>0 {{1,6},{2,3,4},{5}}=>0 {{1},{2,3,4,6},{5}}=>0 {{1},{2,3,4},{5,6}}=>0 {{1},{2,3,4},{5},{6}}=>0 {{1,5,6},{2,3},{4}}=>0 {{1,5},{2,3,6},{4}}=>1 {{1,5},{2,3},{4,6}}=>1 {{1,5},{2,3},{4},{6}}=>0 {{1,6},{2,3,5},{4}}=>0 {{1},{2,3,5,6},{4}}=>0 {{1},{2,3,5},{4,6}}=>1 {{1},{2,3,5},{4},{6}}=>0 {{1,6},{2,3},{4,5}}=>0 {{1},{2,3,6},{4,5}}=>0 {{1},{2,3},{4,5,6}}=>0 {{1},{2,3},{4,5},{6}}=>0 {{1,6},{2,3},{4},{5}}=>0 {{1},{2,3,6},{4},{5}}=>0 {{1},{2,3},{4,6},{5}}=>0 {{1},{2,3},{4},{5,6}}=>0 {{1},{2,3},{4},{5},{6}}=>0 {{1,4,5,6},{2},{3}}=>0 {{1,4,5},{2,6},{3}}=>1 {{1,4,5},{2},{3,6}}=>1 {{1,4,5},{2},{3},{6}}=>0 {{1,4,6},{2,5},{3}}=>0 {{1,4},{2,5,6},{3}}=>1 {{1,4},{2,5},{3,6}}=>3 {{1,4},{2,5},{3},{6}}=>1 {{1,4,6},{2},{3,5}}=>0 {{1,4},{2,6},{3,5}}=>2 {{1,4},{2},{3,5,6}}=>1 {{1,4},{2},{3,5},{6}}=>1 {{1,4,6},{2},{3},{5}}=>0 {{1,4},{2,6},{3},{5}}=>1 {{1,4},{2},{3,6},{5}}=>1 {{1,4},{2},{3},{5,6}}=>0 {{1,4},{2},{3},{5},{6}}=>0 {{1,5,6},{2,4},{3}}=>0 {{1,5},{2,4,6},{3}}=>1 {{1,5},{2,4},{3,6}}=>2 {{1,5},{2,4},{3},{6}}=>0 {{1,6},{2,4,5},{3}}=>0 {{1},{2,4,5,6},{3}}=>0 {{1},{2,4,5},{3,6}}=>1 {{1},{2,4,5},{3},{6}}=>0 {{1,6},{2,4},{3,5}}=>1 {{1},{2,4,6},{3,5}}=>0 {{1},{2,4},{3,5,6}}=>1 {{1},{2,4},{3,5},{6}}=>1 {{1,6},{2,4},{3},{5}}=>0 {{1},{2,4,6},{3},{5}}=>0 {{1},{2,4},{3,6},{5}}=>1 {{1},{2,4},{3},{5,6}}=>0 {{1},{2,4},{3},{5},{6}}=>0 {{1,5,6},{2},{3,4}}=>0 {{1,5},{2,6},{3,4}}=>1 {{1,5},{2},{3,4,6}}=>1 {{1,5},{2},{3,4},{6}}=>0 {{1,6},{2,5},{3,4}}=>0 {{1},{2,5,6},{3,4}}=>0 {{1},{2,5},{3,4,6}}=>1 {{1},{2,5},{3,4},{6}}=>0 {{1,6},{2},{3,4,5}}=>0 {{1},{2,6},{3,4,5}}=>0 {{1},{2},{3,4,5,6}}=>0 {{1},{2},{3,4,5},{6}}=>0 {{1,6},{2},{3,4},{5}}=>0 {{1},{2,6},{3,4},{5}}=>0 {{1},{2},{3,4,6},{5}}=>0 {{1},{2},{3,4},{5,6}}=>0 {{1},{2},{3,4},{5},{6}}=>0 {{1,5,6},{2},{3},{4}}=>0 {{1,5},{2,6},{3},{4}}=>1 {{1,5},{2},{3,6},{4}}=>1 {{1,5},{2},{3},{4,6}}=>1 {{1,5},{2},{3},{4},{6}}=>0 {{1,6},{2,5},{3},{4}}=>0 {{1},{2,5,6},{3},{4}}=>0 {{1},{2,5},{3,6},{4}}=>1 {{1},{2,5},{3},{4,6}}=>1 {{1},{2,5},{3},{4},{6}}=>0 {{1,6},{2},{3,5},{4}}=>0 {{1},{2,6},{3,5},{4}}=>0 {{1},{2},{3,5,6},{4}}=>0 {{1},{2},{3,5},{4,6}}=>1 {{1},{2},{3,5},{4},{6}}=>0 {{1,6},{2},{3},{4,5}}=>0 {{1},{2,6},{3},{4,5}}=>0 {{1},{2},{3,6},{4,5}}=>0 {{1},{2},{3},{4,5,6}}=>0 {{1},{2},{3},{4,5},{6}}=>0 {{1,6},{2},{3},{4},{5}}=>0 {{1},{2,6},{3},{4},{5}}=>0 {{1},{2},{3,6},{4},{5}}=>0 {{1},{2},{3},{4,6},{5}}=>0 {{1},{2},{3},{4},{5,6}}=>0 {{1},{2},{3},{4},{5},{6}}=>0 {{1,2,3,4,5,6,7}}=>0 {{1,2,3,4,5,6},{7}}=>0 {{1,2,3,4,5,7},{6}}=>0 {{1,2,3,4,5},{6,7}}=>0 {{1,2,3,4,5},{6},{7}}=>0 {{1,2,3,4,6,7},{5}}=>0 {{1,2,3,4,6},{5,7}}=>1 {{1,2,3,4,6},{5},{7}}=>0 {{1,2,3,4,7},{5,6}}=>0 {{1,2,3,4},{5,6,7}}=>0 {{1,2,3,4},{5,6},{7}}=>0 {{1,2,3,4,7},{5},{6}}=>0 {{1,2,3,4},{5,7},{6}}=>0 {{1,2,3,4},{5},{6,7}}=>0 {{1,2,3,4},{5},{6},{7}}=>0 {{1,2,3,5,6,7},{4}}=>0 {{1,2,3,5,6},{4,7}}=>1 {{1,2,3,5,6},{4},{7}}=>0 {{1,2,3,5,7},{4,6}}=>0 {{1,2,3,5},{4,6,7}}=>1 {{1,2,3,5},{4,6},{7}}=>1 {{1,2,3,5,7},{4},{6}}=>0 {{1,2,3,5},{4,7},{6}}=>1 {{1,2,3,5},{4},{6,7}}=>0 {{1,2,3,5},{4},{6},{7}}=>0 {{1,2,3,6,7},{4,5}}=>0 {{1,2,3,6},{4,5,7}}=>1 {{1,2,3,6},{4,5},{7}}=>0 {{1,2,3,7},{4,5,6}}=>0 {{1,2,3},{4,5,6,7}}=>0 {{1,2,3},{4,5,6},{7}}=>0 {{1,2,3,7},{4,5},{6}}=>0 {{1,2,3},{4,5,7},{6}}=>0 {{1,2,3},{4,5},{6,7}}=>0 {{1,2,3},{4,5},{6},{7}}=>0 {{1,2,3,6,7},{4},{5}}=>0 {{1,2,3,6},{4,7},{5}}=>1 {{1,2,3,6},{4},{5,7}}=>1 {{1,2,3,6},{4},{5},{7}}=>0 {{1,2,3,7},{4,6},{5}}=>0 {{1,2,3},{4,6,7},{5}}=>0 {{1,2,3},{4,6},{5,7}}=>1 {{1,2,3},{4,6},{5},{7}}=>0 {{1,2,3,7},{4},{5,6}}=>0 {{1,2,3},{4,7},{5,6}}=>0 {{1,2,3},{4},{5,6,7}}=>0 {{1,2,3},{4},{5,6},{7}}=>0 {{1,2,3,7},{4},{5},{6}}=>0 {{1,2,3},{4,7},{5},{6}}=>0 {{1,2,3},{4},{5,7},{6}}=>0 {{1,2,3},{4},{5},{6,7}}=>0 {{1,2,3},{4},{5},{6},{7}}=>0 {{1,2,4,5,6,7},{3}}=>0 {{1,2,4,5,6},{3,7}}=>1 {{1,2,4,5,6},{3},{7}}=>0 {{1,2,4,5,7},{3,6}}=>0 {{1,2,4,5},{3,6,7}}=>1 {{1,2,4,5},{3,6},{7}}=>1 {{1,2,4,5,7},{3},{6}}=>0 {{1,2,4,5},{3,7},{6}}=>1 {{1,2,4,5},{3},{6,7}}=>0 {{1,2,4,5},{3},{6},{7}}=>0 {{1,2,4,6,7},{3,5}}=>0 {{1,2,4,6},{3,5,7}}=>1 {{1,2,4,6},{3,5},{7}}=>0 {{1,2,4,7},{3,5,6}}=>0 {{1,2,4},{3,5,6,7}}=>1 {{1,2,4},{3,5,6},{7}}=>1 {{1,2,4,7},{3,5},{6}}=>0 {{1,2,4},{3,5,7},{6}}=>1 {{1,2,4},{3,5},{6,7}}=>1 {{1,2,4},{3,5},{6},{7}}=>1 {{1,2,4,6,7},{3},{5}}=>0 {{1,2,4,6},{3,7},{5}}=>1 {{1,2,4,6},{3},{5,7}}=>1 {{1,2,4,6},{3},{5},{7}}=>0 {{1,2,4,7},{3,6},{5}}=>0 {{1,2,4},{3,6,7},{5}}=>1 {{1,2,4},{3,6},{5,7}}=>2 {{1,2,4},{3,6},{5},{7}}=>1 {{1,2,4,7},{3},{5,6}}=>0 {{1,2,4},{3,7},{5,6}}=>1 {{1,2,4},{3},{5,6,7}}=>0 {{1,2,4},{3},{5,6},{7}}=>0 {{1,2,4,7},{3},{5},{6}}=>0 {{1,2,4},{3,7},{5},{6}}=>1 {{1,2,4},{3},{5,7},{6}}=>0 {{1,2,4},{3},{5},{6,7}}=>0 {{1,2,4},{3},{5},{6},{7}}=>0 {{1,2,5,6,7},{3,4}}=>0 {{1,2,5,6},{3,4,7}}=>1 {{1,2,5,6},{3,4},{7}}=>0 {{1,2,5,7},{3,4,6}}=>0 {{1,2,5},{3,4,6,7}}=>1 {{1,2,5},{3,4,6},{7}}=>1 {{1,2,5,7},{3,4},{6}}=>0 {{1,2,5},{3,4,7},{6}}=>1 {{1,2,5},{3,4},{6,7}}=>0 {{1,2,5},{3,4},{6},{7}}=>0 {{1,2,6,7},{3,4,5}}=>0 {{1,2,6},{3,4,5,7}}=>1 {{1,2,6},{3,4,5},{7}}=>0 {{1,2,7},{3,4,5,6}}=>0 {{1,2},{3,4,5,6,7}}=>0 {{1,2},{3,4,5,6},{7}}=>0 {{1,2,7},{3,4,5},{6}}=>0 {{1,2},{3,4,5,7},{6}}=>0 {{1,2},{3,4,5},{6,7}}=>0 {{1,2},{3,4,5},{6},{7}}=>0 {{1,2,6,7},{3,4},{5}}=>0 {{1,2,6},{3,4,7},{5}}=>1 {{1,2,6},{3,4},{5,7}}=>1 {{1,2,6},{3,4},{5},{7}}=>0 {{1,2,7},{3,4,6},{5}}=>0 {{1,2},{3,4,6,7},{5}}=>0 {{1,2},{3,4,6},{5,7}}=>1 {{1,2},{3,4,6},{5},{7}}=>0 {{1,2,7},{3,4},{5,6}}=>0 {{1,2},{3,4,7},{5,6}}=>0 {{1,2},{3,4},{5,6,7}}=>0 {{1,2},{3,4},{5,6},{7}}=>0 {{1,2,7},{3,4},{5},{6}}=>0 {{1,2},{3,4,7},{5},{6}}=>0 {{1,2},{3,4},{5,7},{6}}=>0 {{1,2},{3,4},{5},{6,7}}=>0 {{1,2},{3,4},{5},{6},{7}}=>0 {{1,2,5,6,7},{3},{4}}=>0 {{1,2,5,6},{3,7},{4}}=>1 {{1,2,5,6},{3},{4,7}}=>1 {{1,2,5,6},{3},{4},{7}}=>0 {{1,2,5,7},{3,6},{4}}=>0 {{1,2,5},{3,6,7},{4}}=>1 {{1,2,5},{3,6},{4,7}}=>3 {{1,2,5},{3,6},{4},{7}}=>1 {{1,2,5,7},{3},{4,6}}=>0 {{1,2,5},{3,7},{4,6}}=>2 {{1,2,5},{3},{4,6,7}}=>1 {{1,2,5},{3},{4,6},{7}}=>1 {{1,2,5,7},{3},{4},{6}}=>0 {{1,2,5},{3,7},{4},{6}}=>1 {{1,2,5},{3},{4,7},{6}}=>1 {{1,2,5},{3},{4},{6,7}}=>0 {{1,2,5},{3},{4},{6},{7}}=>0 {{1,2,6,7},{3,5},{4}}=>0 {{1,2,6},{3,5,7},{4}}=>1 {{1,2,6},{3,5},{4,7}}=>2 {{1,2,6},{3,5},{4},{7}}=>0 {{1,2,7},{3,5,6},{4}}=>0 {{1,2},{3,5,6,7},{4}}=>0 {{1,2},{3,5,6},{4,7}}=>1 {{1,2},{3,5,6},{4},{7}}=>0 {{1,2,7},{3,5},{4,6}}=>1 {{1,2},{3,5,7},{4,6}}=>0 {{1,2},{3,5},{4,6,7}}=>1 {{1,2},{3,5},{4,6},{7}}=>1 {{1,2,7},{3,5},{4},{6}}=>0 {{1,2},{3,5,7},{4},{6}}=>0 {{1,2},{3,5},{4,7},{6}}=>1 {{1,2},{3,5},{4},{6,7}}=>0 {{1,2},{3,5},{4},{6},{7}}=>0 {{1,2,6,7},{3},{4,5}}=>0 {{1,2,6},{3,7},{4,5}}=>1 {{1,2,6},{3},{4,5,7}}=>1 {{1,2,6},{3},{4,5},{7}}=>0 {{1,2,7},{3,6},{4,5}}=>0 {{1,2},{3,6,7},{4,5}}=>0 {{1,2},{3,6},{4,5,7}}=>1 {{1,2},{3,6},{4,5},{7}}=>0 {{1,2,7},{3},{4,5,6}}=>0 {{1,2},{3,7},{4,5,6}}=>0 {{1,2},{3},{4,5,6,7}}=>0 {{1,2},{3},{4,5,6},{7}}=>0 {{1,2,7},{3},{4,5},{6}}=>0 {{1,2},{3,7},{4,5},{6}}=>0 {{1,2},{3},{4,5,7},{6}}=>0 {{1,2},{3},{4,5},{6,7}}=>0 {{1,2},{3},{4,5},{6},{7}}=>0 {{1,2,6,7},{3},{4},{5}}=>0 {{1,2,6},{3,7},{4},{5}}=>1 {{1,2,6},{3},{4,7},{5}}=>1 {{1,2,6},{3},{4},{5,7}}=>1 {{1,2,6},{3},{4},{5},{7}}=>0 {{1,2,7},{3,6},{4},{5}}=>0 {{1,2},{3,6,7},{4},{5}}=>0 {{1,2},{3,6},{4,7},{5}}=>1 {{1,2},{3,6},{4},{5,7}}=>1 {{1,2},{3,6},{4},{5},{7}}=>0 {{1,2,7},{3},{4,6},{5}}=>0 {{1,2},{3,7},{4,6},{5}}=>0 {{1,2},{3},{4,6,7},{5}}=>0 {{1,2},{3},{4,6},{5,7}}=>1 {{1,2},{3},{4,6},{5},{7}}=>0 {{1,2,7},{3},{4},{5,6}}=>0 {{1,2},{3,7},{4},{5,6}}=>0 {{1,2},{3},{4,7},{5,6}}=>0 {{1,2},{3},{4},{5,6,7}}=>0 {{1,2},{3},{4},{5,6},{7}}=>0 {{1,2,7},{3},{4},{5},{6}}=>0 {{1,2},{3,7},{4},{5},{6}}=>0 {{1,2},{3},{4,7},{5},{6}}=>0 {{1,2},{3},{4},{5,7},{6}}=>0 {{1,2},{3},{4},{5},{6,7}}=>0 {{1,2},{3},{4},{5},{6},{7}}=>0 {{1,3,4,5,6,7},{2}}=>0 {{1,3,4,5,6},{2,7}}=>1 {{1,3,4,5,6},{2},{7}}=>0 {{1,3,4,5,7},{2,6}}=>0 {{1,3,4,5},{2,6,7}}=>1 {{1,3,4,5},{2,6},{7}}=>1 {{1,3,4,5,7},{2},{6}}=>0 {{1,3,4,5},{2,7},{6}}=>1 {{1,3,4,5},{2},{6,7}}=>0 {{1,3,4,5},{2},{6},{7}}=>0 {{1,3,4,6,7},{2,5}}=>0 {{1,3,4,6},{2,5,7}}=>1 {{1,3,4,6},{2,5},{7}}=>0 {{1,3,4,7},{2,5,6}}=>0 {{1,3,4},{2,5,6,7}}=>1 {{1,3,4},{2,5,6},{7}}=>1 {{1,3,4,7},{2,5},{6}}=>0 {{1,3,4},{2,5,7},{6}}=>1 {{1,3,4},{2,5},{6,7}}=>1 {{1,3,4},{2,5},{6},{7}}=>1 {{1,3,4,6,7},{2},{5}}=>0 {{1,3,4,6},{2,7},{5}}=>1 {{1,3,4,6},{2},{5,7}}=>1 {{1,3,4,6},{2},{5},{7}}=>0 {{1,3,4,7},{2,6},{5}}=>0 {{1,3,4},{2,6,7},{5}}=>1 {{1,3,4},{2,6},{5,7}}=>2 {{1,3,4},{2,6},{5},{7}}=>1 {{1,3,4,7},{2},{5,6}}=>0 {{1,3,4},{2,7},{5,6}}=>1 {{1,3,4},{2},{5,6,7}}=>0 {{1,3,4},{2},{5,6},{7}}=>0 {{1,3,4,7},{2},{5},{6}}=>0 {{1,3,4},{2,7},{5},{6}}=>1 {{1,3,4},{2},{5,7},{6}}=>0 {{1,3,4},{2},{5},{6,7}}=>0 {{1,3,4},{2},{5},{6},{7}}=>0 {{1,3,5,6,7},{2,4}}=>0 {{1,3,5,6},{2,4,7}}=>1 {{1,3,5,6},{2,4},{7}}=>0 {{1,3,5,7},{2,4,6}}=>0 {{1,3,5},{2,4,6,7}}=>1 {{1,3,5},{2,4,6},{7}}=>1 {{1,3,5,7},{2,4},{6}}=>0 {{1,3,5},{2,4,7},{6}}=>1 {{1,3,5},{2,4},{6,7}}=>0 {{1,3,5},{2,4},{6},{7}}=>0 {{1,3,6,7},{2,4,5}}=>0 {{1,3,6},{2,4,5,7}}=>1 {{1,3,6},{2,4,5},{7}}=>0 {{1,3,7},{2,4,5,6}}=>0 {{1,3},{2,4,5,6,7}}=>1 {{1,3},{2,4,5,6},{7}}=>1 {{1,3,7},{2,4,5},{6}}=>0 {{1,3},{2,4,5,7},{6}}=>1 {{1,3},{2,4,5},{6,7}}=>1 {{1,3},{2,4,5},{6},{7}}=>1 {{1,3,6,7},{2,4},{5}}=>0 {{1,3,6},{2,4,7},{5}}=>1 {{1,3,6},{2,4},{5,7}}=>1 {{1,3,6},{2,4},{5},{7}}=>0 {{1,3,7},{2,4,6},{5}}=>0 {{1,3},{2,4,6,7},{5}}=>1 {{1,3},{2,4,6},{5,7}}=>2 {{1,3},{2,4,6},{5},{7}}=>1 {{1,3,7},{2,4},{5,6}}=>0 {{1,3},{2,4,7},{5,6}}=>1 {{1,3},{2,4},{5,6,7}}=>1 {{1,3},{2,4},{5,6},{7}}=>1 {{1,3,7},{2,4},{5},{6}}=>0 {{1,3},{2,4,7},{5},{6}}=>1 {{1,3},{2,4},{5,7},{6}}=>1 {{1,3},{2,4},{5},{6,7}}=>1 {{1,3},{2,4},{5},{6},{7}}=>1 {{1,3,5,6,7},{2},{4}}=>0 {{1,3,5,6},{2,7},{4}}=>1 {{1,3,5,6},{2},{4,7}}=>1 {{1,3,5,6},{2},{4},{7}}=>0 {{1,3,5,7},{2,6},{4}}=>0 {{1,3,5},{2,6,7},{4}}=>1 {{1,3,5},{2,6},{4,7}}=>3 {{1,3,5},{2,6},{4},{7}}=>1 {{1,3,5,7},{2},{4,6}}=>0 {{1,3,5},{2,7},{4,6}}=>2 {{1,3,5},{2},{4,6,7}}=>1 {{1,3,5},{2},{4,6},{7}}=>1 {{1,3,5,7},{2},{4},{6}}=>0 {{1,3,5},{2,7},{4},{6}}=>1 {{1,3,5},{2},{4,7},{6}}=>1 {{1,3,5},{2},{4},{6,7}}=>0 {{1,3,5},{2},{4},{6},{7}}=>0 {{1,3,6,7},{2,5},{4}}=>0 {{1,3,6},{2,5,7},{4}}=>1 {{1,3,6},{2,5},{4,7}}=>2 {{1,3,6},{2,5},{4},{7}}=>0 {{1,3,7},{2,5,6},{4}}=>0 {{1,3},{2,5,6,7},{4}}=>1 {{1,3},{2,5,6},{4,7}}=>2 {{1,3},{2,5,6},{4},{7}}=>1 {{1,3,7},{2,5},{4,6}}=>1 {{1,3},{2,5,7},{4,6}}=>1 {{1,3},{2,5},{4,6,7}}=>2 {{1,3},{2,5},{4,6},{7}}=>2 {{1,3,7},{2,5},{4},{6}}=>0 {{1,3},{2,5,7},{4},{6}}=>1 {{1,3},{2,5},{4,7},{6}}=>2 {{1,3},{2,5},{4},{6,7}}=>1 {{1,3},{2,5},{4},{6},{7}}=>1 {{1,3,6,7},{2},{4,5}}=>0 {{1,3,6},{2,7},{4,5}}=>1 {{1,3,6},{2},{4,5,7}}=>1 {{1,3,6},{2},{4,5},{7}}=>0 {{1,3,7},{2,6},{4,5}}=>0 {{1,3},{2,6,7},{4,5}}=>1 {{1,3},{2,6},{4,5,7}}=>2 {{1,3},{2,6},{4,5},{7}}=>1 {{1,3,7},{2},{4,5,6}}=>0 {{1,3},{2,7},{4,5,6}}=>1 {{1,3},{2},{4,5,6,7}}=>0 {{1,3},{2},{4,5,6},{7}}=>0 {{1,3,7},{2},{4,5},{6}}=>0 {{1,3},{2,7},{4,5},{6}}=>1 {{1,3},{2},{4,5,7},{6}}=>0 {{1,3},{2},{4,5},{6,7}}=>0 {{1,3},{2},{4,5},{6},{7}}=>0 {{1,3,6,7},{2},{4},{5}}=>0 {{1,3,6},{2,7},{4},{5}}=>1 {{1,3,6},{2},{4,7},{5}}=>1 {{1,3,6},{2},{4},{5,7}}=>1 {{1,3,6},{2},{4},{5},{7}}=>0 {{1,3,7},{2,6},{4},{5}}=>0 {{1,3},{2,6,7},{4},{5}}=>1 {{1,3},{2,6},{4,7},{5}}=>2 {{1,3},{2,6},{4},{5,7}}=>2 {{1,3},{2,6},{4},{5},{7}}=>1 {{1,3,7},{2},{4,6},{5}}=>0 {{1,3},{2,7},{4,6},{5}}=>1 {{1,3},{2},{4,6,7},{5}}=>0 {{1,3},{2},{4,6},{5,7}}=>1 {{1,3},{2},{4,6},{5},{7}}=>0 {{1,3,7},{2},{4},{5,6}}=>0 {{1,3},{2,7},{4},{5,6}}=>1 {{1,3},{2},{4,7},{5,6}}=>0 {{1,3},{2},{4},{5,6,7}}=>0 {{1,3},{2},{4},{5,6},{7}}=>0 {{1,3,7},{2},{4},{5},{6}}=>0 {{1,3},{2,7},{4},{5},{6}}=>1 {{1,3},{2},{4,7},{5},{6}}=>0 {{1,3},{2},{4},{5,7},{6}}=>0 {{1,3},{2},{4},{5},{6,7}}=>0 {{1,3},{2},{4},{5},{6},{7}}=>0 {{1,4,5,6,7},{2,3}}=>0 {{1,4,5,6},{2,3,7}}=>1 {{1,4,5,6},{2,3},{7}}=>0 {{1,4,5,7},{2,3,6}}=>0 {{1,4,5},{2,3,6,7}}=>1 {{1,4,5},{2,3,6},{7}}=>1 {{1,4,5,7},{2,3},{6}}=>0 {{1,4,5},{2,3,7},{6}}=>1 {{1,4,5},{2,3},{6,7}}=>0 {{1,4,5},{2,3},{6},{7}}=>0 {{1,4,6,7},{2,3,5}}=>0 {{1,4,6},{2,3,5,7}}=>1 {{1,4,6},{2,3,5},{7}}=>0 {{1,4,7},{2,3,5,6}}=>0 {{1,4},{2,3,5,6,7}}=>1 {{1,4},{2,3,5,6},{7}}=>1 {{1,4,7},{2,3,5},{6}}=>0 {{1,4},{2,3,5,7},{6}}=>1 {{1,4},{2,3,5},{6,7}}=>1 {{1,4},{2,3,5},{6},{7}}=>1 {{1,4,6,7},{2,3},{5}}=>0 {{1,4,6},{2,3,7},{5}}=>1 {{1,4,6},{2,3},{5,7}}=>1 {{1,4,6},{2,3},{5},{7}}=>0 {{1,4,7},{2,3,6},{5}}=>0 {{1,4},{2,3,6,7},{5}}=>1 {{1,4},{2,3,6},{5,7}}=>2 {{1,4},{2,3,6},{5},{7}}=>1 {{1,4,7},{2,3},{5,6}}=>0 {{1,4},{2,3,7},{5,6}}=>1 {{1,4},{2,3},{5,6,7}}=>0 {{1,4},{2,3},{5,6},{7}}=>0 {{1,4,7},{2,3},{5},{6}}=>0 {{1,4},{2,3,7},{5},{6}}=>1 {{1,4},{2,3},{5,7},{6}}=>0 {{1,4},{2,3},{5},{6,7}}=>0 {{1,4},{2,3},{5},{6},{7}}=>0 {{1,5,6,7},{2,3,4}}=>0 {{1,5,6},{2,3,4,7}}=>1 {{1,5,6},{2,3,4},{7}}=>0 {{1,5,7},{2,3,4,6}}=>0 {{1,5},{2,3,4,6,7}}=>1 {{1,5},{2,3,4,6},{7}}=>1 {{1,5,7},{2,3,4},{6}}=>0 {{1,5},{2,3,4,7},{6}}=>1 {{1,5},{2,3,4},{6,7}}=>0 {{1,5},{2,3,4},{6},{7}}=>0 {{1,6,7},{2,3,4,5}}=>0 {{1,6},{2,3,4,5,7}}=>1 {{1,6},{2,3,4,5},{7}}=>0 {{1,7},{2,3,4,5,6}}=>0 {{1},{2,3,4,5,6,7}}=>0 {{1},{2,3,4,5,6},{7}}=>0 {{1,7},{2,3,4,5},{6}}=>0 {{1},{2,3,4,5,7},{6}}=>0 {{1},{2,3,4,5},{6,7}}=>0 {{1},{2,3,4,5},{6},{7}}=>0 {{1,6,7},{2,3,4},{5}}=>0 {{1,6},{2,3,4,7},{5}}=>1 {{1,6},{2,3,4},{5,7}}=>1 {{1,6},{2,3,4},{5},{7}}=>0 {{1,7},{2,3,4,6},{5}}=>0 {{1},{2,3,4,6,7},{5}}=>0 {{1},{2,3,4,6},{5,7}}=>1 {{1},{2,3,4,6},{5},{7}}=>0 {{1,7},{2,3,4},{5,6}}=>0 {{1},{2,3,4,7},{5,6}}=>0 {{1},{2,3,4},{5,6,7}}=>0 {{1},{2,3,4},{5,6},{7}}=>0 {{1,7},{2,3,4},{5},{6}}=>0 {{1},{2,3,4,7},{5},{6}}=>0 {{1},{2,3,4},{5,7},{6}}=>0 {{1},{2,3,4},{5},{6,7}}=>0 {{1},{2,3,4},{5},{6},{7}}=>0 {{1,5,6,7},{2,3},{4}}=>0 {{1,5,6},{2,3,7},{4}}=>1 {{1,5,6},{2,3},{4,7}}=>1 {{1,5,6},{2,3},{4},{7}}=>0 {{1,5,7},{2,3,6},{4}}=>0 {{1,5},{2,3,6,7},{4}}=>1 {{1,5},{2,3,6},{4,7}}=>3 {{1,5},{2,3,6},{4},{7}}=>1 {{1,5,7},{2,3},{4,6}}=>0 {{1,5},{2,3,7},{4,6}}=>2 {{1,5},{2,3},{4,6,7}}=>1 {{1,5},{2,3},{4,6},{7}}=>1 {{1,5,7},{2,3},{4},{6}}=>0 {{1,5},{2,3,7},{4},{6}}=>1 {{1,5},{2,3},{4,7},{6}}=>1 {{1,5},{2,3},{4},{6,7}}=>0 {{1,5},{2,3},{4},{6},{7}}=>0 {{1,6,7},{2,3,5},{4}}=>0 {{1,6},{2,3,5,7},{4}}=>1 {{1,6},{2,3,5},{4,7}}=>2 {{1,6},{2,3,5},{4},{7}}=>0 {{1,7},{2,3,5,6},{4}}=>0 {{1},{2,3,5,6,7},{4}}=>0 {{1},{2,3,5,6},{4,7}}=>1 {{1},{2,3,5,6},{4},{7}}=>0 {{1,7},{2,3,5},{4,6}}=>1 {{1},{2,3,5,7},{4,6}}=>0 {{1},{2,3,5},{4,6,7}}=>1 {{1},{2,3,5},{4,6},{7}}=>1 {{1,7},{2,3,5},{4},{6}}=>0 {{1},{2,3,5,7},{4},{6}}=>0 {{1},{2,3,5},{4,7},{6}}=>1 {{1},{2,3,5},{4},{6,7}}=>0 {{1},{2,3,5},{4},{6},{7}}=>0 {{1,6,7},{2,3},{4,5}}=>0 {{1,6},{2,3,7},{4,5}}=>1 {{1,6},{2,3},{4,5,7}}=>1 {{1,6},{2,3},{4,5},{7}}=>0 {{1,7},{2,3,6},{4,5}}=>0 {{1},{2,3,6,7},{4,5}}=>0 {{1},{2,3,6},{4,5,7}}=>1 {{1},{2,3,6},{4,5},{7}}=>0 {{1,7},{2,3},{4,5,6}}=>0 {{1},{2,3,7},{4,5,6}}=>0 {{1},{2,3},{4,5,6,7}}=>0 {{1},{2,3},{4,5,6},{7}}=>0 {{1,7},{2,3},{4,5},{6}}=>0 {{1},{2,3,7},{4,5},{6}}=>0 {{1},{2,3},{4,5,7},{6}}=>0 {{1},{2,3},{4,5},{6,7}}=>0 {{1},{2,3},{4,5},{6},{7}}=>0 {{1,6,7},{2,3},{4},{5}}=>0 {{1,6},{2,3,7},{4},{5}}=>1 {{1,6},{2,3},{4,7},{5}}=>1 {{1,6},{2,3},{4},{5,7}}=>1 {{1,6},{2,3},{4},{5},{7}}=>0 {{1,7},{2,3,6},{4},{5}}=>0 {{1},{2,3,6,7},{4},{5}}=>0 {{1},{2,3,6},{4,7},{5}}=>1 {{1},{2,3,6},{4},{5,7}}=>1 {{1},{2,3,6},{4},{5},{7}}=>0 {{1,7},{2,3},{4,6},{5}}=>0 {{1},{2,3,7},{4,6},{5}}=>0 {{1},{2,3},{4,6,7},{5}}=>0 {{1},{2,3},{4,6},{5,7}}=>1 {{1},{2,3},{4,6},{5},{7}}=>0 {{1,7},{2,3},{4},{5,6}}=>0 {{1},{2,3,7},{4},{5,6}}=>0 {{1},{2,3},{4,7},{5,6}}=>0 {{1},{2,3},{4},{5,6,7}}=>0 {{1},{2,3},{4},{5,6},{7}}=>0 {{1,7},{2,3},{4},{5},{6}}=>0 {{1},{2,3,7},{4},{5},{6}}=>0 {{1},{2,3},{4,7},{5},{6}}=>0 {{1},{2,3},{4},{5,7},{6}}=>0 {{1},{2,3},{4},{5},{6,7}}=>0 {{1},{2,3},{4},{5},{6},{7}}=>0 {{1,4,5,6,7},{2},{3}}=>0 {{1,4,5,6},{2,7},{3}}=>1 {{1,4,5,6},{2},{3,7}}=>1 {{1,4,5,6},{2},{3},{7}}=>0 {{1,4,5,7},{2,6},{3}}=>0 {{1,4,5},{2,6,7},{3}}=>1 {{1,4,5},{2,6},{3,7}}=>3 {{1,4,5},{2,6},{3},{7}}=>1 {{1,4,5,7},{2},{3,6}}=>0 {{1,4,5},{2,7},{3,6}}=>2 {{1,4,5},{2},{3,6,7}}=>1 {{1,4,5},{2},{3,6},{7}}=>1 {{1,4,5,7},{2},{3},{6}}=>0 {{1,4,5},{2,7},{3},{6}}=>1 {{1,4,5},{2},{3,7},{6}}=>1 {{1,4,5},{2},{3},{6,7}}=>0 {{1,4,5},{2},{3},{6},{7}}=>0 {{1,4,6,7},{2,5},{3}}=>0 {{1,4,6},{2,5,7},{3}}=>1 {{1,4,6},{2,5},{3,7}}=>2 {{1,4,6},{2,5},{3},{7}}=>0 {{1,4,7},{2,5,6},{3}}=>0 {{1,4},{2,5,6,7},{3}}=>1 {{1,4},{2,5,6},{3,7}}=>3 {{1,4},{2,5,6},{3},{7}}=>1 {{1,4,7},{2,5},{3,6}}=>1 {{1,4},{2,5,7},{3,6}}=>2 {{1,4},{2,5},{3,6,7}}=>3 {{1,4},{2,5},{3,6},{7}}=>3 {{1,4,7},{2,5},{3},{6}}=>0 {{1,4},{2,5,7},{3},{6}}=>1 {{1,4},{2,5},{3,7},{6}}=>3 {{1,4},{2,5},{3},{6,7}}=>1 {{1,4},{2,5},{3},{6},{7}}=>1 {{1,4,6,7},{2},{3,5}}=>0 {{1,4,6},{2,7},{3,5}}=>1 {{1,4,6},{2},{3,5,7}}=>1 {{1,4,6},{2},{3,5},{7}}=>0 {{1,4,7},{2,6},{3,5}}=>0 {{1,4},{2,6,7},{3,5}}=>2 {{1,4},{2,6},{3,5,7}}=>3 {{1,4},{2,6},{3,5},{7}}=>2 {{1,4,7},{2},{3,5,6}}=>0 {{1,4},{2,7},{3,5,6}}=>2 {{1,4},{2},{3,5,6,7}}=>1 {{1,4},{2},{3,5,6},{7}}=>1 {{1,4,7},{2},{3,5},{6}}=>0 {{1,4},{2,7},{3,5},{6}}=>2 {{1,4},{2},{3,5,7},{6}}=>1 {{1,4},{2},{3,5},{6,7}}=>1 {{1,4},{2},{3,5},{6},{7}}=>1 {{1,4,6,7},{2},{3},{5}}=>0 {{1,4,6},{2,7},{3},{5}}=>1 {{1,4,6},{2},{3,7},{5}}=>1 {{1,4,6},{2},{3},{5,7}}=>1 {{1,4,6},{2},{3},{5},{7}}=>0 {{1,4,7},{2,6},{3},{5}}=>0 {{1,4},{2,6,7},{3},{5}}=>1 {{1,4},{2,6},{3,7},{5}}=>3 {{1,4},{2,6},{3},{5,7}}=>2 {{1,4},{2,6},{3},{5},{7}}=>1 {{1,4,7},{2},{3,6},{5}}=>0 {{1,4},{2,7},{3,6},{5}}=>2 {{1,4},{2},{3,6,7},{5}}=>1 {{1,4},{2},{3,6},{5,7}}=>2 {{1,4},{2},{3,6},{5},{7}}=>1 {{1,4,7},{2},{3},{5,6}}=>0 {{1,4},{2,7},{3},{5,6}}=>1 {{1,4},{2},{3,7},{5,6}}=>1 {{1,4},{2},{3},{5,6,7}}=>0 {{1,4},{2},{3},{5,6},{7}}=>0 {{1,4,7},{2},{3},{5},{6}}=>0 {{1,4},{2,7},{3},{5},{6}}=>1 {{1,4},{2},{3,7},{5},{6}}=>1 {{1,4},{2},{3},{5,7},{6}}=>0 {{1,4},{2},{3},{5},{6,7}}=>0 {{1,4},{2},{3},{5},{6},{7}}=>0 {{1,5,6,7},{2,4},{3}}=>0 {{1,5,6},{2,4,7},{3}}=>1 {{1,5,6},{2,4},{3,7}}=>2 {{1,5,6},{2,4},{3},{7}}=>0 {{1,5,7},{2,4,6},{3}}=>0 {{1,5},{2,4,6,7},{3}}=>1 {{1,5},{2,4,6},{3,7}}=>3 {{1,5},{2,4,6},{3},{7}}=>1 {{1,5,7},{2,4},{3,6}}=>1 {{1,5},{2,4,7},{3,6}}=>2 {{1,5},{2,4},{3,6,7}}=>2 {{1,5},{2,4},{3,6},{7}}=>2 {{1,5,7},{2,4},{3},{6}}=>0 {{1,5},{2,4,7},{3},{6}}=>1 {{1,5},{2,4},{3,7},{6}}=>2 {{1,5},{2,4},{3},{6,7}}=>0 {{1,5},{2,4},{3},{6},{7}}=>0 {{1,6,7},{2,4,5},{3}}=>0 {{1,6},{2,4,5,7},{3}}=>1 {{1,6},{2,4,5},{3,7}}=>2 {{1,6},{2,4,5},{3},{7}}=>0 {{1,7},{2,4,5,6},{3}}=>0 {{1},{2,4,5,6,7},{3}}=>0 {{1},{2,4,5,6},{3,7}}=>1 {{1},{2,4,5,6},{3},{7}}=>0 {{1,7},{2,4,5},{3,6}}=>1 {{1},{2,4,5,7},{3,6}}=>0 {{1},{2,4,5},{3,6,7}}=>1 {{1},{2,4,5},{3,6},{7}}=>1 {{1,7},{2,4,5},{3},{6}}=>0 {{1},{2,4,5,7},{3},{6}}=>0 {{1},{2,4,5},{3,7},{6}}=>1 {{1},{2,4,5},{3},{6,7}}=>0 {{1},{2,4,5},{3},{6},{7}}=>0 {{1,6,7},{2,4},{3,5}}=>1 {{1,6},{2,4,7},{3,5}}=>1 {{1,6},{2,4},{3,5,7}}=>2 {{1,6},{2,4},{3,5},{7}}=>1 {{1,7},{2,4,6},{3,5}}=>0 {{1},{2,4,6,7},{3,5}}=>0 {{1},{2,4,6},{3,5,7}}=>1 {{1},{2,4,6},{3,5},{7}}=>0 {{1,7},{2,4},{3,5,6}}=>1 {{1},{2,4,7},{3,5,6}}=>0 {{1},{2,4},{3,5,6,7}}=>1 {{1},{2,4},{3,5,6},{7}}=>1 {{1,7},{2,4},{3,5},{6}}=>1 {{1},{2,4,7},{3,5},{6}}=>0 {{1},{2,4},{3,5,7},{6}}=>1 {{1},{2,4},{3,5},{6,7}}=>1 {{1},{2,4},{3,5},{6},{7}}=>1 {{1,6,7},{2,4},{3},{5}}=>0 {{1,6},{2,4,7},{3},{5}}=>1 {{1,6},{2,4},{3,7},{5}}=>2 {{1,6},{2,4},{3},{5,7}}=>1 {{1,6},{2,4},{3},{5},{7}}=>0 {{1,7},{2,4,6},{3},{5}}=>0 {{1},{2,4,6,7},{3},{5}}=>0 {{1},{2,4,6},{3,7},{5}}=>1 {{1},{2,4,6},{3},{5,7}}=>1 {{1},{2,4,6},{3},{5},{7}}=>0 {{1,7},{2,4},{3,6},{5}}=>1 {{1},{2,4,7},{3,6},{5}}=>0 {{1},{2,4},{3,6,7},{5}}=>1 {{1},{2,4},{3,6},{5,7}}=>2 {{1},{2,4},{3,6},{5},{7}}=>1 {{1,7},{2,4},{3},{5,6}}=>0 {{1},{2,4,7},{3},{5,6}}=>0 {{1},{2,4},{3,7},{5,6}}=>1 {{1},{2,4},{3},{5,6,7}}=>0 {{1},{2,4},{3},{5,6},{7}}=>0 {{1,7},{2,4},{3},{5},{6}}=>0 {{1},{2,4,7},{3},{5},{6}}=>0 {{1},{2,4},{3,7},{5},{6}}=>1 {{1},{2,4},{3},{5,7},{6}}=>0 {{1},{2,4},{3},{5},{6,7}}=>0 {{1},{2,4},{3},{5},{6},{7}}=>0 {{1,5,6,7},{2},{3,4}}=>0 {{1,5,6},{2,7},{3,4}}=>1 {{1,5,6},{2},{3,4,7}}=>1 {{1,5,6},{2},{3,4},{7}}=>0 {{1,5,7},{2,6},{3,4}}=>0 {{1,5},{2,6,7},{3,4}}=>1 {{1,5},{2,6},{3,4,7}}=>3 {{1,5},{2,6},{3,4},{7}}=>1 {{1,5,7},{2},{3,4,6}}=>0 {{1,5},{2,7},{3,4,6}}=>2 {{1,5},{2},{3,4,6,7}}=>1 {{1,5},{2},{3,4,6},{7}}=>1 {{1,5,7},{2},{3,4},{6}}=>0 {{1,5},{2,7},{3,4},{6}}=>1 {{1,5},{2},{3,4,7},{6}}=>1 {{1,5},{2},{3,4},{6,7}}=>0 {{1,5},{2},{3,4},{6},{7}}=>0 {{1,6,7},{2,5},{3,4}}=>0 {{1,6},{2,5,7},{3,4}}=>1 {{1,6},{2,5},{3,4,7}}=>2 {{1,6},{2,5},{3,4},{7}}=>0 {{1,7},{2,5,6},{3,4}}=>0 {{1},{2,5,6,7},{3,4}}=>0 {{1},{2,5,6},{3,4,7}}=>1 {{1},{2,5,6},{3,4},{7}}=>0 {{1,7},{2,5},{3,4,6}}=>1 {{1},{2,5,7},{3,4,6}}=>0 {{1},{2,5},{3,4,6,7}}=>1 {{1},{2,5},{3,4,6},{7}}=>1 {{1,7},{2,5},{3,4},{6}}=>0 {{1},{2,5,7},{3,4},{6}}=>0 {{1},{2,5},{3,4,7},{6}}=>1 {{1},{2,5},{3,4},{6,7}}=>0 {{1},{2,5},{3,4},{6},{7}}=>0 {{1,6,7},{2},{3,4,5}}=>0 {{1,6},{2,7},{3,4,5}}=>1 {{1,6},{2},{3,4,5,7}}=>1 {{1,6},{2},{3,4,5},{7}}=>0 {{1,7},{2,6},{3,4,5}}=>0 {{1},{2,6,7},{3,4,5}}=>0 {{1},{2,6},{3,4,5,7}}=>1 {{1},{2,6},{3,4,5},{7}}=>0 {{1,7},{2},{3,4,5,6}}=>0 {{1},{2,7},{3,4,5,6}}=>0 {{1},{2},{3,4,5,6,7}}=>0 {{1},{2},{3,4,5,6},{7}}=>0 {{1,7},{2},{3,4,5},{6}}=>0 {{1},{2,7},{3,4,5},{6}}=>0 {{1},{2},{3,4,5,7},{6}}=>0 {{1},{2},{3,4,5},{6,7}}=>0 {{1},{2},{3,4,5},{6},{7}}=>0 {{1,6,7},{2},{3,4},{5}}=>0 {{1,6},{2,7},{3,4},{5}}=>1 {{1,6},{2},{3,4,7},{5}}=>1 {{1,6},{2},{3,4},{5,7}}=>1 {{1,6},{2},{3,4},{5},{7}}=>0 {{1,7},{2,6},{3,4},{5}}=>0 {{1},{2,6,7},{3,4},{5}}=>0 {{1},{2,6},{3,4,7},{5}}=>1 {{1},{2,6},{3,4},{5,7}}=>1 {{1},{2,6},{3,4},{5},{7}}=>0 {{1,7},{2},{3,4,6},{5}}=>0 {{1},{2,7},{3,4,6},{5}}=>0 {{1},{2},{3,4,6,7},{5}}=>0 {{1},{2},{3,4,6},{5,7}}=>1 {{1},{2},{3,4,6},{5},{7}}=>0 {{1,7},{2},{3,4},{5,6}}=>0 {{1},{2,7},{3,4},{5,6}}=>0 {{1},{2},{3,4,7},{5,6}}=>0 {{1},{2},{3,4},{5,6,7}}=>0 {{1},{2},{3,4},{5,6},{7}}=>0 {{1,7},{2},{3,4},{5},{6}}=>0 {{1},{2,7},{3,4},{5},{6}}=>0 {{1},{2},{3,4,7},{5},{6}}=>0 {{1},{2},{3,4},{5,7},{6}}=>0 {{1},{2},{3,4},{5},{6,7}}=>0 {{1},{2},{3,4},{5},{6},{7}}=>0 {{1,5,6,7},{2},{3},{4}}=>0 {{1,5,6},{2,7},{3},{4}}=>1 {{1,5,6},{2},{3,7},{4}}=>1 {{1,5,6},{2},{3},{4,7}}=>1 {{1,5,6},{2},{3},{4},{7}}=>0 {{1,5,7},{2,6},{3},{4}}=>0 {{1,5},{2,6,7},{3},{4}}=>1 {{1,5},{2,6},{3,7},{4}}=>3 {{1,5},{2,6},{3},{4,7}}=>3 {{1,5},{2,6},{3},{4},{7}}=>1 {{1,5,7},{2},{3,6},{4}}=>0 {{1,5},{2,7},{3,6},{4}}=>2 {{1,5},{2},{3,6,7},{4}}=>1 {{1,5},{2},{3,6},{4,7}}=>3 {{1,5},{2},{3,6},{4},{7}}=>1 {{1,5,7},{2},{3},{4,6}}=>0 {{1,5},{2,7},{3},{4,6}}=>2 {{1,5},{2},{3,7},{4,6}}=>2 {{1,5},{2},{3},{4,6,7}}=>1 {{1,5},{2},{3},{4,6},{7}}=>1 {{1,5,7},{2},{3},{4},{6}}=>0 {{1,5},{2,7},{3},{4},{6}}=>1 {{1,5},{2},{3,7},{4},{6}}=>1 {{1,5},{2},{3},{4,7},{6}}=>1 {{1,5},{2},{3},{4},{6,7}}=>0 {{1,5},{2},{3},{4},{6},{7}}=>0 {{1,6,7},{2,5},{3},{4}}=>0 {{1,6},{2,5,7},{3},{4}}=>1 {{1,6},{2,5},{3,7},{4}}=>2 {{1,6},{2,5},{3},{4,7}}=>2 {{1,6},{2,5},{3},{4},{7}}=>0 {{1,7},{2,5,6},{3},{4}}=>0 {{1},{2,5,6,7},{3},{4}}=>0 {{1},{2,5,6},{3,7},{4}}=>1 {{1},{2,5,6},{3},{4,7}}=>1 {{1},{2,5,6},{3},{4},{7}}=>0 {{1,7},{2,5},{3,6},{4}}=>1 {{1},{2,5,7},{3,6},{4}}=>0 {{1},{2,5},{3,6,7},{4}}=>1 {{1},{2,5},{3,6},{4,7}}=>3 {{1},{2,5},{3,6},{4},{7}}=>1 {{1,7},{2,5},{3},{4,6}}=>1 {{1},{2,5,7},{3},{4,6}}=>0 {{1},{2,5},{3,7},{4,6}}=>2 {{1},{2,5},{3},{4,6,7}}=>1 {{1},{2,5},{3},{4,6},{7}}=>1 {{1,7},{2,5},{3},{4},{6}}=>0 {{1},{2,5,7},{3},{4},{6}}=>0 {{1},{2,5},{3,7},{4},{6}}=>1 {{1},{2,5},{3},{4,7},{6}}=>1 {{1},{2,5},{3},{4},{6,7}}=>0 {{1},{2,5},{3},{4},{6},{7}}=>0 {{1,6,7},{2},{3,5},{4}}=>0 {{1,6},{2,7},{3,5},{4}}=>1 {{1,6},{2},{3,5,7},{4}}=>1 {{1,6},{2},{3,5},{4,7}}=>2 {{1,6},{2},{3,5},{4},{7}}=>0 {{1,7},{2,6},{3,5},{4}}=>0 {{1},{2,6,7},{3,5},{4}}=>0 {{1},{2,6},{3,5,7},{4}}=>1 {{1},{2,6},{3,5},{4,7}}=>2 {{1},{2,6},{3,5},{4},{7}}=>0 {{1,7},{2},{3,5,6},{4}}=>0 {{1},{2,7},{3,5,6},{4}}=>0 {{1},{2},{3,5,6,7},{4}}=>0 {{1},{2},{3,5,6},{4,7}}=>1 {{1},{2},{3,5,6},{4},{7}}=>0 {{1,7},{2},{3,5},{4,6}}=>1 {{1},{2,7},{3,5},{4,6}}=>1 {{1},{2},{3,5,7},{4,6}}=>0 {{1},{2},{3,5},{4,6,7}}=>1 {{1},{2},{3,5},{4,6},{7}}=>1 {{1,7},{2},{3,5},{4},{6}}=>0 {{1},{2,7},{3,5},{4},{6}}=>0 {{1},{2},{3,5,7},{4},{6}}=>0 {{1},{2},{3,5},{4,7},{6}}=>1 {{1},{2},{3,5},{4},{6,7}}=>0 {{1},{2},{3,5},{4},{6},{7}}=>0 {{1,6,7},{2},{3},{4,5}}=>0 {{1,6},{2,7},{3},{4,5}}=>1 {{1,6},{2},{3,7},{4,5}}=>1 {{1,6},{2},{3},{4,5,7}}=>1 {{1,6},{2},{3},{4,5},{7}}=>0 {{1,7},{2,6},{3},{4,5}}=>0 {{1},{2,6,7},{3},{4,5}}=>0 {{1},{2,6},{3,7},{4,5}}=>1 {{1},{2,6},{3},{4,5,7}}=>1 {{1},{2,6},{3},{4,5},{7}}=>0 {{1,7},{2},{3,6},{4,5}}=>0 {{1},{2,7},{3,6},{4,5}}=>0 {{1},{2},{3,6,7},{4,5}}=>0 {{1},{2},{3,6},{4,5,7}}=>1 {{1},{2},{3,6},{4,5},{7}}=>0 {{1,7},{2},{3},{4,5,6}}=>0 {{1},{2,7},{3},{4,5,6}}=>0 {{1},{2},{3,7},{4,5,6}}=>0 {{1},{2},{3},{4,5,6,7}}=>0 {{1},{2},{3},{4,5,6},{7}}=>0 {{1,7},{2},{3},{4,5},{6}}=>0 {{1},{2,7},{3},{4,5},{6}}=>0 {{1},{2},{3,7},{4,5},{6}}=>0 {{1},{2},{3},{4,5,7},{6}}=>0 {{1},{2},{3},{4,5},{6,7}}=>0 {{1},{2},{3},{4,5},{6},{7}}=>0 {{1,6,7},{2},{3},{4},{5}}=>0 {{1,6},{2,7},{3},{4},{5}}=>1 {{1,6},{2},{3,7},{4},{5}}=>1 {{1,6},{2},{3},{4,7},{5}}=>1 {{1,6},{2},{3},{4},{5,7}}=>1 {{1,6},{2},{3},{4},{5},{7}}=>0 {{1,7},{2,6},{3},{4},{5}}=>0 {{1},{2,6,7},{3},{4},{5}}=>0 {{1},{2,6},{3,7},{4},{5}}=>1 {{1},{2,6},{3},{4,7},{5}}=>1 {{1},{2,6},{3},{4},{5,7}}=>1 {{1},{2,6},{3},{4},{5},{7}}=>0 {{1,7},{2},{3,6},{4},{5}}=>0 {{1},{2,7},{3,6},{4},{5}}=>0 {{1},{2},{3,6,7},{4},{5}}=>0 {{1},{2},{3,6},{4,7},{5}}=>1 {{1},{2},{3,6},{4},{5,7}}=>1 {{1},{2},{3,6},{4},{5},{7}}=>0 {{1,7},{2},{3},{4,6},{5}}=>0 {{1},{2,7},{3},{4,6},{5}}=>0 {{1},{2},{3,7},{4,6},{5}}=>0 {{1},{2},{3},{4,6,7},{5}}=>0 {{1},{2},{3},{4,6},{5,7}}=>1 {{1},{2},{3},{4,6},{5},{7}}=>0 {{1,7},{2},{3},{4},{5,6}}=>0 {{1},{2,7},{3},{4},{5,6}}=>0 {{1},{2},{3,7},{4},{5,6}}=>0 {{1},{2},{3},{4,7},{5,6}}=>0 {{1},{2},{3},{4},{5,6,7}}=>0 {{1},{2},{3},{4},{5,6},{7}}=>0 {{1,7},{2},{3},{4},{5},{6}}=>0 {{1},{2,7},{3},{4},{5},{6}}=>0 {{1},{2},{3,7},{4},{5},{6}}=>0 {{1},{2},{3},{4,7},{5},{6}}=>0 {{1},{2},{3},{4},{5,7},{6}}=>0 {{1},{2},{3},{4},{5},{6,7}}=>0 {{1},{2},{3},{4},{5},{6},{7}}=>0 {{1},{2},{3,4,5,6,7,8}}=>0 {{1},{2,4,5,6,7,8},{3}}=>0 {{1},{2,3,5,6,7,8},{4}}=>0 {{1},{2,3,4,6,7,8},{5}}=>0 {{1},{2,3,4,5,7,8},{6}}=>0 {{1},{2,3,4,5,6,7},{8}}=>0 {{1},{2,3,4,5,6,8},{7}}=>0 {{1},{2,3,4,5,6,7,8}}=>0 {{1,2},{3,4,5,6,7,8}}=>0 {{1,4,5,6,7,8},{2},{3}}=>0 {{1,3,5,6,7,8},{2},{4}}=>0 {{1,3,4,5,6,7,8},{2}}=>0 {{1,4,5,6,7,8},{2,3}}=>0 {{1,2,4,5,6,7,8},{3}}=>0 {{1,2,5,6,7,8},{3,4}}=>0 {{1,2,3,5,6,7,8},{4}}=>0 {{1,2,3,6,7,8},{4,5}}=>0 {{1,2,3,4,6,7,8},{5}}=>0 {{1,2,3,4,5,6},{7,8}}=>0 {{1,2,3,4,7,8},{5,6}}=>0 {{1,2,3,4,5,7,8},{6}}=>0 {{1,2,3,4,5,6,7},{8}}=>0 {{1,8},{2,3,4,5,6,7}}=>0 {{1,2,3,4,5,8},{6,7}}=>0 {{1,2,3,4,5,6,8},{7}}=>0 {{1,2,3,4,5,6,7,8}}=>0 {{1,3,5,6,7,8},{2,4}}=>0 {{1,3,4,6,7,8},{2,5}}=>0 {{1,2,4,6,7,8},{3,5}}=>0 {{1,3,4,5,7,8},{2,6}}=>0 {{1,2,4,5,7,8},{3,6}}=>0 {{1,2,3,5,7,8},{4,6}}=>0 {{1,3,4,5,6,8},{2,7}}=>0 {{1,2,4,5,6,8},{3,7}}=>0 {{1,2,3,5,6,8},{4,7}}=>0 {{1,2,3,4,6,8},{5,7}}=>0 {{1,3,4,5,6,7},{2,8}}=>1 {{1,2,4,5,6,7},{3,8}}=>1 {{1,2,3,5,6,7},{4,8}}=>1 {{1,2,3,4,6,7},{5,8}}=>1 {{1,2,3,4,5,7},{6,8}}=>1 {{1,3},{2,4,5,6,7,8}}=>1 {{1,4},{2,3,5,6,7,8}}=>1 {{1,5},{2,3,4,6,7,8}}=>1 {{1,6},{2,3,4,5,7,8}}=>1 {{1,7},{2,3,4,5,6,8}}=>1
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Description
The number of overlapping pairs of blocks of a set partition.
This is also the number of occurrences of the pattern {{1,3},{2,4}} such that 1,2 are minimal and 3,4 are maximal.
References
[1] Kasraoui, A. Average values of some Z-parameters in a random set partition arXiv:1304.4813
Code
def statistic(pi):
    """
    sage: statistic([[1,10],[2,3,7,9],[4],[5,6,12],[8,11]])
    4
    """
    count = 0
    for A, B in Subsets([Set(b) for b in pi], 2):
        pass
        if min(A) < min(B) < max(A) < max(B) or min(B) < min(A) < max(B) < max(A):
            count += 1
    return count
Created
Aug 05, 2016 at 21:00 by Martin Rubey
Updated
Aug 11, 2016 at 15:18 by Martin Rubey