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Identifier
Mp00249: Set partitions Callan switch Set partitions
Images
=>
Cc0009;cc-rep-0Cc0009;cc-rep-1
{{1}}=>{{1}} {{1,2}}=>{{1,2}} {{1},{2}}=>{{1},{2}} {{1,2,3}}=>{{1,3},{2}} {{1,2},{3}}=>{{1,2},{3}} {{1,3},{2}}=>{{1,2,3}} {{1},{2,3}}=>{{1},{2,3}} {{1},{2},{3}}=>{{1},{2},{3}} {{1,2,3,4}}=>{{1,4},{2},{3}} {{1,2,3},{4}}=>{{1,3},{2},{4}} {{1,2,4},{3}}=>{{1,3,4},{2}} {{1,2},{3,4}}=>{{1,2},{3,4}} {{1,2},{3},{4}}=>{{1,2},{3},{4}} {{1,3,4},{2}}=>{{1,2,4},{3}} {{1,3},{2,4}}=>{{1,3},{2,4}} {{1,3},{2},{4}}=>{{1,2,3},{4}} {{1,4},{2,3}}=>{{1,4},{2,3}} {{1},{2,3,4}}=>{{1},{2,3,4}} {{1},{2,3},{4}}=>{{1},{2,3},{4}} {{1,4},{2},{3}}=>{{1,2,3,4}} {{1},{2,4},{3}}=>{{1},{2,4},{3}} {{1},{2},{3,4}}=>{{1},{2},{3,4}} {{1},{2},{3},{4}}=>{{1},{2},{3},{4}} {{1,2,3,4,5}}=>{{1,5},{2},{3},{4}} {{1,2,3,4},{5}}=>{{1,4},{2},{3},{5}} {{1,2,3,5},{4}}=>{{1,4,5},{2},{3}} {{1,2,3},{4,5}}=>{{1,3},{2},{4,5}} {{1,2,3},{4},{5}}=>{{1,3},{2},{4},{5}} {{1,2,4,5},{3}}=>{{1,3,4,5},{2}} {{1,2,4},{3,5}}=>{{1,4},{2},{3,5}} {{1,2,4},{3},{5}}=>{{1,3,4},{2},{5}} {{1,2,5},{3,4}}=>{{1,5},{2},{3,4}} {{1,2},{3,4,5}}=>{{1,2},{3,4,5}} {{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}} {{1,2,5},{3},{4}}=>{{1,3,5},{2},{4}} {{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}} {{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}} {{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}} {{1,3,4,5},{2}}=>{{1,2,4,5},{3}} {{1,3,4},{2,5}}=>{{1,4},{2,5},{3}} {{1,3,4},{2},{5}}=>{{1,2,4},{3},{5}} {{1,3,5},{2,4}}=>{{1,5},{2,4},{3}} {{1,3},{2,4,5}}=>{{1,3},{2,4,5}} {{1,3},{2,4},{5}}=>{{1,3},{2,4},{5}} {{1,3,5},{2},{4}}=>{{1,2,5},{3},{4}} {{1,3},{2,5},{4}}=>{{1,3},{2,5},{4}} {{1,3},{2},{4,5}}=>{{1,2,3},{4,5}} {{1,3},{2},{4},{5}}=>{{1,2,3},{4},{5}} {{1,4,5},{2,3}}=>{{1,4,5},{2,3}} {{1,4},{2,3,5}}=>{{1,4},{2,3,5}} {{1,4},{2,3},{5}}=>{{1,4},{2,3},{5}} {{1,5},{2,3,4}}=>{{1,5},{2,3,4}} {{1},{2,3,4,5}}=>{{1},{2,3,4,5}} {{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}} {{1,5},{2,3},{4}}=>{{1,5},{2,3},{4}} {{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}} {{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}} {{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}} {{1,4,5},{2},{3}}=>{{1,2,3,5},{4}} {{1,4},{2,5},{3}}=>{{1,3,4},{2,5}} {{1,4},{2},{3,5}}=>{{1,2,4},{3,5}} {{1,4},{2},{3},{5}}=>{{1,2,3,4},{5}} {{1,5},{2,4},{3}}=>{{1,3,5},{2,4}} {{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}} {{1},{2,4},{3,5}}=>{{1},{2,4},{3,5}} {{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}} {{1,5},{2},{3,4}}=>{{1,2,5},{3,4}} {{1},{2,5},{3,4}}=>{{1},{2,5},{3,4}} {{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}} {{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}} {{1,5},{2},{3},{4}}=>{{1,2,3,4,5}} {{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}} {{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}} {{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}} {{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}} {{1,2,3,4,5,6}}=>{{1,6},{2},{3},{4},{5}} {{1,2,3,4,5},{6}}=>{{1,5},{2},{3},{4},{6}} {{1,2,3,4,6},{5}}=>{{1,5,6},{2},{3},{4}} {{1,2,3,4},{5,6}}=>{{1,4},{2},{3},{5,6}} {{1,2,3,4},{5},{6}}=>{{1,4},{2},{3},{5},{6}} {{1,2,3,5,6},{4}}=>{{1,4,5,6},{2},{3}} {{1,2,3,5},{4,6}}=>{{1,5},{2},{3},{4,6}} {{1,2,3,5},{4},{6}}=>{{1,4,5},{2},{3},{6}} {{1,2,3,6},{4,5}}=>{{1,6},{2},{3},{4,5}} {{1,2,3},{4,5,6}}=>{{1,3},{2},{4,5,6}} {{1,2,3},{4,5},{6}}=>{{1,3},{2},{4,5},{6}} {{1,2,3,6},{4},{5}}=>{{1,4,6},{2},{3},{5}} {{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,6},{5}} {{1,2,3},{4},{5,6}}=>{{1,3},{2},{4},{5,6}} {{1,2,3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}} {{1,2,4,5,6},{3}}=>{{1,3,4,5,6},{2}} {{1,2,4,5},{3,6}}=>{{1,5},{2},{3,6},{4}} {{1,2,4,5},{3},{6}}=>{{1,3,4,5},{2},{6}} {{1,2,4,6},{3,5}}=>{{1,6},{2},{3,5},{4}} {{1,2,4},{3,5,6}}=>{{1,4},{2},{3,5,6}} {{1,2,4},{3,5},{6}}=>{{1,4},{2},{3,5},{6}} {{1,2,4,6},{3},{5}}=>{{1,3,4,6},{2},{5}} {{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,6},{5}} {{1,2,4},{3},{5,6}}=>{{1,3,4},{2},{5,6}} {{1,2,4},{3},{5},{6}}=>{{1,3,4},{2},{5},{6}} {{1,2,5,6},{3,4}}=>{{1,5,6},{2},{3,4}} {{1,2,5},{3,4,6}}=>{{1,5},{2},{3,4,6}} {{1,2,5},{3,4},{6}}=>{{1,5},{2},{3,4},{6}} {{1,2,6},{3,4,5}}=>{{1,6},{2},{3,4,5}} {{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}} {{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}} {{1,2,6},{3,4},{5}}=>{{1,6},{2},{3,4},{5}} {{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}} {{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}} {{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}} {{1,2,5,6},{3},{4}}=>{{1,3,5,6},{2},{4}} {{1,2,5},{3,6},{4}}=>{{1,4,5},{2},{3,6}} {{1,2,5},{3},{4,6}}=>{{1,3,5},{2},{4,6}} {{1,2,5},{3},{4},{6}}=>{{1,3,5},{2},{4},{6}} {{1,2,6},{3,5},{4}}=>{{1,4,6},{2},{3,5}} {{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}} {{1,2},{3,5},{4,6}}=>{{1,2},{3,5},{4,6}} {{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}} {{1,2,6},{3},{4,5}}=>{{1,3,6},{2},{4,5}} {{1,2},{3,6},{4,5}}=>{{1,2},{3,6},{4,5}} {{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}} {{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}} {{1,2,6},{3},{4},{5}}=>{{1,3,6},{2},{4},{5}} {{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}} {{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}} {{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}} {{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}} {{1,3,4,5,6},{2}}=>{{1,2,4,5,6},{3}} {{1,3,4,5},{2,6}}=>{{1,5},{2,6},{3},{4}} {{1,3,4,5},{2},{6}}=>{{1,2,4,5},{3},{6}} {{1,3,4,6},{2,5}}=>{{1,6},{2,5},{3},{4}} {{1,3,4},{2,5,6}}=>{{1,4},{2,5,6},{3}} {{1,3,4},{2,5},{6}}=>{{1,4},{2,5},{3},{6}} {{1,3,4,6},{2},{5}}=>{{1,2,4,6},{3},{5}} {{1,3,4},{2,6},{5}}=>{{1,4},{2,6},{3},{5}} {{1,3,4},{2},{5,6}}=>{{1,2,4},{3},{5,6}} {{1,3,4},{2},{5},{6}}=>{{1,2,4},{3},{5},{6}} {{1,3,5,6},{2,4}}=>{{1,5,6},{2,4},{3}} {{1,3,5},{2,4,6}}=>{{1,5},{2,4,6},{3}} {{1,3,5},{2,4},{6}}=>{{1,5},{2,4},{3},{6}} {{1,3,6},{2,4,5}}=>{{1,6},{2,4,5},{3}} {{1,3},{2,4,5,6}}=>{{1,3},{2,4,5,6}} {{1,3},{2,4,5},{6}}=>{{1,3},{2,4,5},{6}} {{1,3,6},{2,4},{5}}=>{{1,6},{2,4},{3},{5}} {{1,3},{2,4,6},{5}}=>{{1,3},{2,4,6},{5}} {{1,3},{2,4},{5,6}}=>{{1,3},{2,4},{5,6}} {{1,3},{2,4},{5},{6}}=>{{1,3},{2,4},{5},{6}} {{1,3,5,6},{2},{4}}=>{{1,2,5,6},{3},{4}} {{1,3,5},{2,6},{4}}=>{{1,4,5},{2,6},{3}} {{1,3,5},{2},{4,6}}=>{{1,2,5},{3},{4,6}} {{1,3,5},{2},{4},{6}}=>{{1,2,5},{3},{4},{6}} {{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}} {{1,3},{2,5,6},{4}}=>{{1,3},{2,5,6},{4}} {{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}} {{1,3},{2,5},{4},{6}}=>{{1,3},{2,5},{4},{6}} {{1,3,6},{2},{4,5}}=>{{1,2,6},{3},{4,5}} {{1,3},{2,6},{4,5}}=>{{1,3},{2,6},{4,5}} {{1,3},{2},{4,5,6}}=>{{1,2,3},{4,5,6}} {{1,3},{2},{4,5},{6}}=>{{1,2,3},{4,5},{6}} {{1,3,6},{2},{4},{5}}=>{{1,2,6},{3},{4},{5}} {{1,3},{2,6},{4},{5}}=>{{1,3},{2,6},{4},{5}} {{1,3},{2},{4,6},{5}}=>{{1,2,3},{4,6},{5}} {{1,3},{2},{4},{5,6}}=>{{1,2,3},{4},{5,6}} {{1,3},{2},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}} {{1,4,5,6},{2,3}}=>{{1,4,5,6},{2,3}} {{1,4,5},{2,3,6}}=>{{1,5},{2,3,6},{4}} {{1,4,5},{2,3},{6}}=>{{1,4,5},{2,3},{6}} {{1,4,6},{2,3,5}}=>{{1,6},{2,3,5},{4}} {{1,4},{2,3,5,6}}=>{{1,4},{2,3,5,6}} {{1,4},{2,3,5},{6}}=>{{1,4},{2,3,5},{6}} {{1,4,6},{2,3},{5}}=>{{1,4,6},{2,3},{5}} {{1,4},{2,3,6},{5}}=>{{1,4},{2,3,6},{5}} {{1,4},{2,3},{5,6}}=>{{1,4},{2,3},{5,6}} {{1,4},{2,3},{5},{6}}=>{{1,4},{2,3},{5},{6}} {{1,5,6},{2,3,4}}=>{{1,5,6},{2,3,4}} {{1,5},{2,3,4,6}}=>{{1,5},{2,3,4,6}} {{1,5},{2,3,4},{6}}=>{{1,5},{2,3,4},{6}} {{1,6},{2,3,4,5}}=>{{1,6},{2,3,4,5}} {{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}} {{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}} {{1,6},{2,3,4},{5}}=>{{1,6},{2,3,4},{5}} {{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}} {{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}} {{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}} {{1,5,6},{2,3},{4}}=>{{1,5,6},{2,3},{4}} {{1,5},{2,3,6},{4}}=>{{1,4,5},{2,3,6}} {{1,5},{2,3},{4,6}}=>{{1,5},{2,3},{4,6}} {{1,5},{2,3},{4},{6}}=>{{1,5},{2,3},{4},{6}} {{1,6},{2,3,5},{4}}=>{{1,4,6},{2,3,5}} {{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}} {{1},{2,3,5},{4,6}}=>{{1},{2,3,5},{4,6}} {{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}} {{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}} {{1},{2,3,6},{4,5}}=>{{1},{2,3,6},{4,5}} {{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}} {{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}} {{1,6},{2,3},{4},{5}}=>{{1,6},{2,3},{4},{5}} {{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}} {{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}} {{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}} {{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}} {{1,4,5,6},{2},{3}}=>{{1,2,3,5,6},{4}} {{1,4,5},{2,6},{3}}=>{{1,3,5},{2,6},{4}} {{1,4,5},{2},{3,6}}=>{{1,2,5},{3,6},{4}} {{1,4,5},{2},{3},{6}}=>{{1,2,3,5},{4},{6}} {{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}} {{1,4},{2,5,6},{3}}=>{{1,3,4},{2,5,6}} {{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}} {{1,4},{2,5},{3},{6}}=>{{1,3,4},{2,5},{6}} {{1,4,6},{2},{3,5}}=>{{1,2,6},{3,5},{4}} {{1,4},{2,6},{3,5}}=>{{1,4},{2,6},{3,5}} {{1,4},{2},{3,5,6}}=>{{1,2,4},{3,5,6}} {{1,4},{2},{3,5},{6}}=>{{1,2,4},{3,5},{6}} {{1,4,6},{2},{3},{5}}=>{{1,2,3,6},{4},{5}} {{1,4},{2,6},{3},{5}}=>{{1,3,4},{2,6},{5}} {{1,4},{2},{3,6},{5}}=>{{1,2,4},{3,6},{5}} {{1,4},{2},{3},{5,6}}=>{{1,2,3,4},{5,6}} {{1,4},{2},{3},{5},{6}}=>{{1,2,3,4},{5},{6}} {{1,5,6},{2,4},{3}}=>{{1,3,5,6},{2,4}} {{1,5},{2,4,6},{3}}=>{{1,3,5},{2,4,6}} {{1,5},{2,4},{3,6}}=>{{1,5},{2,4},{3,6}} {{1,5},{2,4},{3},{6}}=>{{1,3,5},{2,4},{6}} {{1,6},{2,4,5},{3}}=>{{1,3,6},{2,4,5}} {{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}} {{1},{2,4,5},{3,6}}=>{{1},{2,4,5},{3,6}} {{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}} {{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}} {{1},{2,4,6},{3,5}}=>{{1},{2,4,6},{3,5}} {{1},{2,4},{3,5,6}}=>{{1},{2,4},{3,5,6}} {{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}} {{1,6},{2,4},{3},{5}}=>{{1,3,6},{2,4},{5}} {{1},{2,4,6},{3},{5}}=>{{1},{2,4,6},{3},{5}} {{1},{2,4},{3,6},{5}}=>{{1},{2,4},{3,6},{5}} {{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}} {{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}} {{1,5,6},{2},{3,4}}=>{{1,2,5,6},{3,4}} {{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}} {{1,5},{2},{3,4,6}}=>{{1,2,5},{3,4,6}} {{1,5},{2},{3,4},{6}}=>{{1,2,5},{3,4},{6}} {{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}} {{1},{2,5,6},{3,4}}=>{{1},{2,5,6},{3,4}} {{1},{2,5},{3,4,6}}=>{{1},{2,5},{3,4,6}} {{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}} {{1,6},{2},{3,4,5}}=>{{1,2,6},{3,4,5}} {{1},{2,6},{3,4,5}}=>{{1},{2,6},{3,4,5}} {{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}} {{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}} {{1,6},{2},{3,4},{5}}=>{{1,2,6},{3,4},{5}} {{1},{2,6},{3,4},{5}}=>{{1},{2,6},{3,4},{5}} {{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}} {{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}} {{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}} {{1,5,6},{2},{3},{4}}=>{{1,2,3,4,6},{5}} {{1,5},{2,6},{3},{4}}=>{{1,3,4,5},{2,6}} {{1,5},{2},{3,6},{4}}=>{{1,2,4,5},{3,6}} {{1,5},{2},{3},{4,6}}=>{{1,2,3,5},{4,6}} {{1,5},{2},{3},{4},{6}}=>{{1,2,3,4,5},{6}} {{1,6},{2,5},{3},{4}}=>{{1,3,4,6},{2,5}} {{1},{2,5,6},{3},{4}}=>{{1},{2,5,6},{3},{4}} {{1},{2,5},{3,6},{4}}=>{{1},{2,5},{3,6},{4}} {{1},{2,5},{3},{4,6}}=>{{1},{2,5},{3},{4,6}} {{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}} {{1,6},{2},{3,5},{4}}=>{{1,2,4,6},{3,5}} {{1},{2,6},{3,5},{4}}=>{{1},{2,6},{3,5},{4}} {{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}} {{1},{2},{3,5},{4,6}}=>{{1},{2},{3,5},{4,6}} {{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}} {{1,6},{2},{3},{4,5}}=>{{1,2,3,6},{4,5}} {{1},{2,6},{3},{4,5}}=>{{1},{2,6},{3},{4,5}} {{1},{2},{3,6},{4,5}}=>{{1},{2},{3,6},{4,5}} {{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}} {{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}} {{1,6},{2},{3},{4},{5}}=>{{1,2,3,4,5,6}} {{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}} {{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}} {{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}} {{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}} {{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}} {{1,2,3,4,5,6,7}}=>{{1,7},{2},{3},{4},{5},{6}} {{1,2,3,4,5,6},{7}}=>{{1,6},{2},{3},{4},{5},{7}} {{1,2,3,4,5,7},{6}}=>{{1,6,7},{2},{3},{4},{5}} {{1,2,3,4,5},{6,7}}=>{{1,5},{2},{3},{4},{6,7}} {{1,2,3,4,5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}} {{1,2,3,4,6,7},{5}}=>{{1,5,6,7},{2},{3},{4}} {{1,2,3,4,6},{5,7}}=>{{1,6},{2},{3},{4},{5,7}} {{1,2,3,4,6},{5},{7}}=>{{1,5,6},{2},{3},{4},{7}} {{1,2,3,4,7},{5,6}}=>{{1,7},{2},{3},{4},{5,6}} {{1,2,3,4},{5,6,7}}=>{{1,4},{2},{3},{5,6,7}} {{1,2,3,4},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}} {{1,2,3,4,7},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}} {{1,2,3,4},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}} {{1,2,3,4},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}} {{1,2,3,4},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}} {{1,2,3,5,6,7},{4}}=>{{1,4,5,6,7},{2},{3}} {{1,2,3,5,6},{4,7}}=>{{1,6},{2},{3},{4,7},{5}} {{1,2,3,5,6},{4},{7}}=>{{1,4,5,6},{2},{3},{7}} {{1,2,3,5,7},{4,6}}=>{{1,7},{2},{3},{4,6},{5}} {{1,2,3,5},{4,6,7}}=>{{1,5},{2},{3},{4,6,7}} {{1,2,3,5},{4,6},{7}}=>{{1,5},{2},{3},{4,6},{7}} {{1,2,3,5,7},{4},{6}}=>{{1,4,5,7},{2},{3},{6}} {{1,2,3,5},{4,7},{6}}=>{{1,5},{2},{3},{4,7},{6}} {{1,2,3,5},{4},{6,7}}=>{{1,4,5},{2},{3},{6,7}} {{1,2,3,5},{4},{6},{7}}=>{{1,4,5},{2},{3},{6},{7}} {{1,2,3,6,7},{4,5}}=>{{1,6,7},{2},{3},{4,5}} {{1,2,3,6},{4,5,7}}=>{{1,6},{2},{3},{4,5,7}} {{1,2,3,6},{4,5},{7}}=>{{1,6},{2},{3},{4,5},{7}} {{1,2,3,7},{4,5,6}}=>{{1,7},{2},{3},{4,5,6}} {{1,2,3},{4,5,6,7}}=>{{1,3},{2},{4,5,6,7}} {{1,2,3},{4,5,6},{7}}=>{{1,3},{2},{4,5,6},{7}} {{1,2,3,7},{4,5},{6}}=>{{1,7},{2},{3},{4,5},{6}} {{1,2,3},{4,5,7},{6}}=>{{1,3},{2},{4,5,7},{6}} {{1,2,3},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}} {{1,2,3},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}} {{1,2,3,6,7},{4},{5}}=>{{1,4,6,7},{2},{3},{5}} {{1,2,3,6},{4,7},{5}}=>{{1,5,6},{2},{3},{4,7}} {{1,2,3,6},{4},{5,7}}=>{{1,4,6},{2},{3},{5,7}} {{1,2,3,6},{4},{5},{7}}=>{{1,4,6},{2},{3},{5},{7}} {{1,2,3,7},{4,6},{5}}=>{{1,5,7},{2},{3},{4,6}} {{1,2,3},{4,6,7},{5}}=>{{1,3},{2},{4,6,7},{5}} {{1,2,3},{4,6},{5,7}}=>{{1,3},{2},{4,6},{5,7}} {{1,2,3},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}} {{1,2,3,7},{4},{5,6}}=>{{1,4,7},{2},{3},{5,6}} {{1,2,3},{4,7},{5,6}}=>{{1,3},{2},{4,7},{5,6}} {{1,2,3},{4},{5,6,7}}=>{{1,3},{2},{4},{5,6,7}} {{1,2,3},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}} {{1,2,3,7},{4},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}} {{1,2,3},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}} {{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}} {{1,2,3},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}} {{1,2,3},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}} {{1,2,4,5,6,7},{3}}=>{{1,3,4,5,6,7},{2}} {{1,2,4,5,6},{3,7}}=>{{1,6},{2},{3,7},{4},{5}} {{1,2,4,5,6},{3},{7}}=>{{1,3,4,5,6},{2},{7}} {{1,2,4,5,7},{3,6}}=>{{1,7},{2},{3,6},{4},{5}} {{1,2,4,5},{3,6,7}}=>{{1,5},{2},{3,6,7},{4}} {{1,2,4,5},{3,6},{7}}=>{{1,5},{2},{3,6},{4},{7}} {{1,2,4,5,7},{3},{6}}=>{{1,3,4,5,7},{2},{6}} {{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,7},{4},{6}} {{1,2,4,5},{3},{6,7}}=>{{1,3,4,5},{2},{6,7}} {{1,2,4,5},{3},{6},{7}}=>{{1,3,4,5},{2},{6},{7}} {{1,2,4,6,7},{3,5}}=>{{1,6,7},{2},{3,5},{4}} {{1,2,4,6},{3,5,7}}=>{{1,6},{2},{3,5,7},{4}} {{1,2,4,6},{3,5},{7}}=>{{1,6},{2},{3,5},{4},{7}} {{1,2,4,7},{3,5,6}}=>{{1,7},{2},{3,5,6},{4}} {{1,2,4},{3,5,6,7}}=>{{1,4},{2},{3,5,6,7}} {{1,2,4},{3,5,6},{7}}=>{{1,4},{2},{3,5,6},{7}} {{1,2,4,7},{3,5},{6}}=>{{1,7},{2},{3,5},{4},{6}} {{1,2,4},{3,5,7},{6}}=>{{1,4},{2},{3,5,7},{6}} {{1,2,4},{3,5},{6,7}}=>{{1,4},{2},{3,5},{6,7}} {{1,2,4},{3,5},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}} {{1,2,4,6,7},{3},{5}}=>{{1,3,4,6,7},{2},{5}} {{1,2,4,6},{3,7},{5}}=>{{1,5,6},{2},{3,7},{4}} {{1,2,4,6},{3},{5,7}}=>{{1,3,4,6},{2},{5,7}} {{1,2,4,6},{3},{5},{7}}=>{{1,3,4,6},{2},{5},{7}} {{1,2,4,7},{3,6},{5}}=>{{1,5,7},{2},{3,6},{4}} {{1,2,4},{3,6,7},{5}}=>{{1,4},{2},{3,6,7},{5}} {{1,2,4},{3,6},{5,7}}=>{{1,4},{2},{3,6},{5,7}} {{1,2,4},{3,6},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}} {{1,2,4,7},{3},{5,6}}=>{{1,3,4,7},{2},{5,6}} {{1,2,4},{3,7},{5,6}}=>{{1,4},{2},{3,7},{5,6}} {{1,2,4},{3},{5,6,7}}=>{{1,3,4},{2},{5,6,7}} {{1,2,4},{3},{5,6},{7}}=>{{1,3,4},{2},{5,6},{7}} {{1,2,4,7},{3},{5},{6}}=>{{1,3,4,7},{2},{5},{6}} {{1,2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}} {{1,2,4},{3},{5,7},{6}}=>{{1,3,4},{2},{5,7},{6}} {{1,2,4},{3},{5},{6,7}}=>{{1,3,4},{2},{5},{6,7}} {{1,2,4},{3},{5},{6},{7}}=>{{1,3,4},{2},{5},{6},{7}} {{1,2,5,6,7},{3,4}}=>{{1,5,6,7},{2},{3,4}} {{1,2,5,6},{3,4,7}}=>{{1,6},{2},{3,4,7},{5}} {{1,2,5,6},{3,4},{7}}=>{{1,5,6},{2},{3,4},{7}} {{1,2,5,7},{3,4,6}}=>{{1,7},{2},{3,4,6},{5}} {{1,2,5},{3,4,6,7}}=>{{1,5},{2},{3,4,6,7}} {{1,2,5},{3,4,6},{7}}=>{{1,5},{2},{3,4,6},{7}} {{1,2,5,7},{3,4},{6}}=>{{1,5,7},{2},{3,4},{6}} {{1,2,5},{3,4,7},{6}}=>{{1,5},{2},{3,4,7},{6}} {{1,2,5},{3,4},{6,7}}=>{{1,5},{2},{3,4},{6,7}} {{1,2,5},{3,4},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}} {{1,2,6,7},{3,4,5}}=>{{1,6,7},{2},{3,4,5}} {{1,2,6},{3,4,5,7}}=>{{1,6},{2},{3,4,5,7}} {{1,2,6},{3,4,5},{7}}=>{{1,6},{2},{3,4,5},{7}} {{1,2,7},{3,4,5,6}}=>{{1,7},{2},{3,4,5,6}} {{1,2},{3,4,5,6,7}}=>{{1,2},{3,4,5,6,7}} {{1,2},{3,4,5,6},{7}}=>{{1,2},{3,4,5,6},{7}} {{1,2,7},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}} {{1,2},{3,4,5,7},{6}}=>{{1,2},{3,4,5,7},{6}} {{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}} {{1,2},{3,4,5},{6},{7}}=>{{1,2},{3,4,5},{6},{7}} {{1,2,6,7},{3,4},{5}}=>{{1,6,7},{2},{3,4},{5}} {{1,2,6},{3,4,7},{5}}=>{{1,5,6},{2},{3,4,7}} {{1,2,6},{3,4},{5,7}}=>{{1,6},{2},{3,4},{5,7}} {{1,2,6},{3,4},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}} {{1,2,7},{3,4,6},{5}}=>{{1,5,7},{2},{3,4,6}} {{1,2},{3,4,6,7},{5}}=>{{1,2},{3,4,6,7},{5}} {{1,2},{3,4,6},{5,7}}=>{{1,2},{3,4,6},{5,7}} {{1,2},{3,4,6},{5},{7}}=>{{1,2},{3,4,6},{5},{7}} {{1,2,7},{3,4},{5,6}}=>{{1,7},{2},{3,4},{5,6}} {{1,2},{3,4,7},{5,6}}=>{{1,2},{3,4,7},{5,6}} {{1,2},{3,4},{5,6,7}}=>{{1,2},{3,4},{5,6,7}} {{1,2},{3,4},{5,6},{7}}=>{{1,2},{3,4},{5,6},{7}} {{1,2,7},{3,4},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}} {{1,2},{3,4,7},{5},{6}}=>{{1,2},{3,4,7},{5},{6}} {{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}} {{1,2},{3,4},{5},{6,7}}=>{{1,2},{3,4},{5},{6,7}} {{1,2},{3,4},{5},{6},{7}}=>{{1,2},{3,4},{5},{6},{7}} {{1,2,5,6,7},{3},{4}}=>{{1,3,5,6,7},{2},{4}} {{1,2,5,6},{3,7},{4}}=>{{1,4,5,6},{2},{3,7}} {{1,2,5,6},{3},{4,7}}=>{{1,3,5,6},{2},{4,7}} {{1,2,5,6},{3},{4},{7}}=>{{1,3,5,6},{2},{4},{7}} {{1,2,5,7},{3,6},{4}}=>{{1,4,5,7},{2},{3,6}} {{1,2,5},{3,6,7},{4}}=>{{1,4,5},{2},{3,6,7}} {{1,2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}} {{1,2,5},{3,6},{4},{7}}=>{{1,4,5},{2},{3,6},{7}} {{1,2,5,7},{3},{4,6}}=>{{1,3,5,7},{2},{4,6}} {{1,2,5},{3,7},{4,6}}=>{{1,5},{2},{3,7},{4,6}} {{1,2,5},{3},{4,6,7}}=>{{1,3,5},{2},{4,6,7}} {{1,2,5},{3},{4,6},{7}}=>{{1,3,5},{2},{4,6},{7}} {{1,2,5,7},{3},{4},{6}}=>{{1,3,5,7},{2},{4},{6}} {{1,2,5},{3,7},{4},{6}}=>{{1,4,5},{2},{3,7},{6}} {{1,2,5},{3},{4,7},{6}}=>{{1,3,5},{2},{4,7},{6}} {{1,2,5},{3},{4},{6,7}}=>{{1,3,5},{2},{4},{6,7}} {{1,2,5},{3},{4},{6},{7}}=>{{1,3,5},{2},{4},{6},{7}} {{1,2,6,7},{3,5},{4}}=>{{1,4,6,7},{2},{3,5}} {{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,5,7}} {{1,2,6},{3,5},{4,7}}=>{{1,6},{2},{3,5},{4,7}} {{1,2,6},{3,5},{4},{7}}=>{{1,4,6},{2},{3,5},{7}} {{1,2,7},{3,5,6},{4}}=>{{1,4,7},{2},{3,5,6}} {{1,2},{3,5,6,7},{4}}=>{{1,2},{3,5,6,7},{4}} {{1,2},{3,5,6},{4,7}}=>{{1,2},{3,5,6},{4,7}} {{1,2},{3,5,6},{4},{7}}=>{{1,2},{3,5,6},{4},{7}} {{1,2,7},{3,5},{4,6}}=>{{1,7},{2},{3,5},{4,6}} {{1,2},{3,5,7},{4,6}}=>{{1,2},{3,5,7},{4,6}} {{1,2},{3,5},{4,6,7}}=>{{1,2},{3,5},{4,6,7}} {{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,5},{4,6},{7}} {{1,2,7},{3,5},{4},{6}}=>{{1,4,7},{2},{3,5},{6}} {{1,2},{3,5,7},{4},{6}}=>{{1,2},{3,5,7},{4},{6}} {{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,5},{4,7},{6}} {{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}} {{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}} {{1,2,6,7},{3},{4,5}}=>{{1,3,6,7},{2},{4,5}} {{1,2,6},{3,7},{4,5}}=>{{1,6},{2},{3,7},{4,5}} {{1,2,6},{3},{4,5,7}}=>{{1,3,6},{2},{4,5,7}} {{1,2,6},{3},{4,5},{7}}=>{{1,3,6},{2},{4,5},{7}} {{1,2,7},{3,6},{4,5}}=>{{1,7},{2},{3,6},{4,5}} {{1,2},{3,6,7},{4,5}}=>{{1,2},{3,6,7},{4,5}} {{1,2},{3,6},{4,5,7}}=>{{1,2},{3,6},{4,5,7}} {{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,6},{4,5},{7}} {{1,2,7},{3},{4,5,6}}=>{{1,3,7},{2},{4,5,6}} {{1,2},{3,7},{4,5,6}}=>{{1,2},{3,7},{4,5,6}} {{1,2},{3},{4,5,6,7}}=>{{1,2},{3},{4,5,6,7}} {{1,2},{3},{4,5,6},{7}}=>{{1,2},{3},{4,5,6},{7}} {{1,2,7},{3},{4,5},{6}}=>{{1,3,7},{2},{4,5},{6}} {{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,7},{4,5},{6}} {{1,2},{3},{4,5,7},{6}}=>{{1,2},{3},{4,5,7},{6}} {{1,2},{3},{4,5},{6,7}}=>{{1,2},{3},{4,5},{6,7}} {{1,2},{3},{4,5},{6},{7}}=>{{1,2},{3},{4,5},{6},{7}} {{1,2,6,7},{3},{4},{5}}=>{{1,3,6,7},{2},{4},{5}} {{1,2,6},{3,7},{4},{5}}=>{{1,4,6},{2},{3,7},{5}} {{1,2,6},{3},{4,7},{5}}=>{{1,3,6},{2},{4,7},{5}} {{1,2,6},{3},{4},{5,7}}=>{{1,3,6},{2},{4},{5,7}} {{1,2,6},{3},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7}} {{1,2,7},{3,6},{4},{5}}=>{{1,4,7},{2},{3,6},{5}} {{1,2},{3,6,7},{4},{5}}=>{{1,2},{3,6,7},{4},{5}} {{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,6},{4,7},{5}} {{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,6},{4},{5,7}} {{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}} {{1,2,7},{3},{4,6},{5}}=>{{1,3,7},{2},{4,6},{5}} {{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,7},{4,6},{5}} {{1,2},{3},{4,6,7},{5}}=>{{1,2},{3},{4,6,7},{5}} {{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,6},{5,7}} {{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}} {{1,2,7},{3},{4},{5,6}}=>{{1,3,7},{2},{4},{5,6}} {{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,7},{4},{5,6}} {{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,7},{5,6}} {{1,2},{3},{4},{5,6,7}}=>{{1,2},{3},{4},{5,6,7}} {{1,2},{3},{4},{5,6},{7}}=>{{1,2},{3},{4},{5,6},{7}} {{1,2,7},{3},{4},{5},{6}}=>{{1,3,7},{2},{4},{5},{6}} {{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}} {{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}} {{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}} {{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}} {{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}} {{1,3,4,5,6,7},{2}}=>{{1,2,4,5,6,7},{3}} {{1,3,4,5,6},{2,7}}=>{{1,6},{2,7},{3},{4},{5}} {{1,3,4,5,6},{2},{7}}=>{{1,2,4,5,6},{3},{7}} {{1,3,4,5,7},{2,6}}=>{{1,7},{2,6},{3},{4},{5}} {{1,3,4,5},{2,6,7}}=>{{1,5},{2,6,7},{3},{4}} {{1,3,4,5},{2,6},{7}}=>{{1,5},{2,6},{3},{4},{7}} {{1,3,4,5,7},{2},{6}}=>{{1,2,4,5,7},{3},{6}} {{1,3,4,5},{2,7},{6}}=>{{1,5},{2,7},{3},{4},{6}} {{1,3,4,5},{2},{6,7}}=>{{1,2,4,5},{3},{6,7}} {{1,3,4,5},{2},{6},{7}}=>{{1,2,4,5},{3},{6},{7}} {{1,3,4,6,7},{2,5}}=>{{1,6,7},{2,5},{3},{4}} {{1,3,4,6},{2,5,7}}=>{{1,6},{2,5,7},{3},{4}} {{1,3,4,6},{2,5},{7}}=>{{1,6},{2,5},{3},{4},{7}} {{1,3,4,7},{2,5,6}}=>{{1,7},{2,5,6},{3},{4}} {{1,3,4},{2,5,6,7}}=>{{1,4},{2,5,6,7},{3}} {{1,3,4},{2,5,6},{7}}=>{{1,4},{2,5,6},{3},{7}} {{1,3,4,7},{2,5},{6}}=>{{1,7},{2,5},{3},{4},{6}} {{1,3,4},{2,5,7},{6}}=>{{1,4},{2,5,7},{3},{6}} {{1,3,4},{2,5},{6,7}}=>{{1,4},{2,5},{3},{6,7}} {{1,3,4},{2,5},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}} {{1,3,4,6,7},{2},{5}}=>{{1,2,4,6,7},{3},{5}} {{1,3,4,6},{2,7},{5}}=>{{1,5,6},{2,7},{3},{4}} {{1,3,4,6},{2},{5,7}}=>{{1,2,4,6},{3},{5,7}} {{1,3,4,6},{2},{5},{7}}=>{{1,2,4,6},{3},{5},{7}} {{1,3,4,7},{2,6},{5}}=>{{1,5,7},{2,6},{3},{4}} {{1,3,4},{2,6,7},{5}}=>{{1,4},{2,6,7},{3},{5}} {{1,3,4},{2,6},{5,7}}=>{{1,4},{2,6},{3},{5,7}} {{1,3,4},{2,6},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}} {{1,3,4,7},{2},{5,6}}=>{{1,2,4,7},{3},{5,6}} {{1,3,4},{2,7},{5,6}}=>{{1,4},{2,7},{3},{5,6}} {{1,3,4},{2},{5,6,7}}=>{{1,2,4},{3},{5,6,7}} {{1,3,4},{2},{5,6},{7}}=>{{1,2,4},{3},{5,6},{7}} {{1,3,4,7},{2},{5},{6}}=>{{1,2,4,7},{3},{5},{6}} {{1,3,4},{2,7},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}} {{1,3,4},{2},{5,7},{6}}=>{{1,2,4},{3},{5,7},{6}} {{1,3,4},{2},{5},{6,7}}=>{{1,2,4},{3},{5},{6,7}} {{1,3,4},{2},{5},{6},{7}}=>{{1,2,4},{3},{5},{6},{7}} {{1,3,5,6,7},{2,4}}=>{{1,5,6,7},{2,4},{3}} {{1,3,5,6},{2,4,7}}=>{{1,6},{2,4,7},{3},{5}} {{1,3,5,6},{2,4},{7}}=>{{1,5,6},{2,4},{3},{7}} {{1,3,5,7},{2,4,6}}=>{{1,7},{2,4,6},{3},{5}} {{1,3,5},{2,4,6,7}}=>{{1,5},{2,4,6,7},{3}} {{1,3,5},{2,4,6},{7}}=>{{1,5},{2,4,6},{3},{7}} {{1,3,5,7},{2,4},{6}}=>{{1,5,7},{2,4},{3},{6}} {{1,3,5},{2,4,7},{6}}=>{{1,5},{2,4,7},{3},{6}} {{1,3,5},{2,4},{6,7}}=>{{1,5},{2,4},{3},{6,7}} {{1,3,5},{2,4},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}} {{1,3,6,7},{2,4,5}}=>{{1,6,7},{2,4,5},{3}} {{1,3,6},{2,4,5,7}}=>{{1,6},{2,4,5,7},{3}} {{1,3,6},{2,4,5},{7}}=>{{1,6},{2,4,5},{3},{7}} {{1,3,7},{2,4,5,6}}=>{{1,7},{2,4,5,6},{3}} {{1,3},{2,4,5,6,7}}=>{{1,3},{2,4,5,6,7}} {{1,3},{2,4,5,6},{7}}=>{{1,3},{2,4,5,6},{7}} {{1,3,7},{2,4,5},{6}}=>{{1,7},{2,4,5},{3},{6}} {{1,3},{2,4,5,7},{6}}=>{{1,3},{2,4,5,7},{6}} {{1,3},{2,4,5},{6,7}}=>{{1,3},{2,4,5},{6,7}} {{1,3},{2,4,5},{6},{7}}=>{{1,3},{2,4,5},{6},{7}} {{1,3,6,7},{2,4},{5}}=>{{1,6,7},{2,4},{3},{5}} {{1,3,6},{2,4,7},{5}}=>{{1,5,6},{2,4,7},{3}} {{1,3,6},{2,4},{5,7}}=>{{1,6},{2,4},{3},{5,7}} {{1,3,6},{2,4},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}} {{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}} {{1,3},{2,4,6,7},{5}}=>{{1,3},{2,4,6,7},{5}} {{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}} {{1,3},{2,4,6},{5},{7}}=>{{1,3},{2,4,6},{5},{7}} {{1,3,7},{2,4},{5,6}}=>{{1,7},{2,4},{3},{5,6}} {{1,3},{2,4,7},{5,6}}=>{{1,3},{2,4,7},{5,6}} {{1,3},{2,4},{5,6,7}}=>{{1,3},{2,4},{5,6,7}} {{1,3},{2,4},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}} {{1,3,7},{2,4},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}} {{1,3},{2,4,7},{5},{6}}=>{{1,3},{2,4,7},{5},{6}} {{1,3},{2,4},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}} {{1,3},{2,4},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}} {{1,3},{2,4},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}} {{1,3,5,6,7},{2},{4}}=>{{1,2,5,6,7},{3},{4}} {{1,3,5,6},{2,7},{4}}=>{{1,4,5,6},{2,7},{3}} {{1,3,5,6},{2},{4,7}}=>{{1,2,5,6},{3},{4,7}} {{1,3,5,6},{2},{4},{7}}=>{{1,2,5,6},{3},{4},{7}} {{1,3,5,7},{2,6},{4}}=>{{1,4,5,7},{2,6},{3}} {{1,3,5},{2,6,7},{4}}=>{{1,4,5},{2,6,7},{3}} {{1,3,5},{2,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}} {{1,3,5},{2,6},{4},{7}}=>{{1,4,5},{2,6},{3},{7}} {{1,3,5,7},{2},{4,6}}=>{{1,2,5,7},{3},{4,6}} {{1,3,5},{2,7},{4,6}}=>{{1,5},{2,7},{3},{4,6}} {{1,3,5},{2},{4,6,7}}=>{{1,2,5},{3},{4,6,7}} {{1,3,5},{2},{4,6},{7}}=>{{1,2,5},{3},{4,6},{7}} {{1,3,5,7},{2},{4},{6}}=>{{1,2,5,7},{3},{4},{6}} {{1,3,5},{2,7},{4},{6}}=>{{1,4,5},{2,7},{3},{6}} {{1,3,5},{2},{4,7},{6}}=>{{1,2,5},{3},{4,7},{6}} {{1,3,5},{2},{4},{6,7}}=>{{1,2,5},{3},{4},{6,7}} {{1,3,5},{2},{4},{6},{7}}=>{{1,2,5},{3},{4},{6},{7}} {{1,3,6,7},{2,5},{4}}=>{{1,4,6,7},{2,5},{3}} {{1,3,6},{2,5,7},{4}}=>{{1,4,6},{2,5,7},{3}} {{1,3,6},{2,5},{4,7}}=>{{1,6},{2,5},{3},{4,7}} {{1,3,6},{2,5},{4},{7}}=>{{1,4,6},{2,5},{3},{7}} {{1,3,7},{2,5,6},{4}}=>{{1,4,7},{2,5,6},{3}} {{1,3},{2,5,6,7},{4}}=>{{1,3},{2,5,6,7},{4}} {{1,3},{2,5,6},{4,7}}=>{{1,3},{2,5,6},{4,7}} {{1,3},{2,5,6},{4},{7}}=>{{1,3},{2,5,6},{4},{7}} {{1,3,7},{2,5},{4,6}}=>{{1,7},{2,5},{3},{4,6}} {{1,3},{2,5,7},{4,6}}=>{{1,3},{2,5,7},{4,6}} {{1,3},{2,5},{4,6,7}}=>{{1,3},{2,5},{4,6,7}} {{1,3},{2,5},{4,6},{7}}=>{{1,3},{2,5},{4,6},{7}} {{1,3,7},{2,5},{4},{6}}=>{{1,4,7},{2,5},{3},{6}} {{1,3},{2,5,7},{4},{6}}=>{{1,3},{2,5,7},{4},{6}} {{1,3},{2,5},{4,7},{6}}=>{{1,3},{2,5},{4,7},{6}} {{1,3},{2,5},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}} {{1,3},{2,5},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}} {{1,3,6,7},{2},{4,5}}=>{{1,2,6,7},{3},{4,5}} {{1,3,6},{2,7},{4,5}}=>{{1,6},{2,7},{3},{4,5}} {{1,3,6},{2},{4,5,7}}=>{{1,2,6},{3},{4,5,7}} {{1,3,6},{2},{4,5},{7}}=>{{1,2,6},{3},{4,5},{7}} {{1,3,7},{2,6},{4,5}}=>{{1,7},{2,6},{3},{4,5}} {{1,3},{2,6,7},{4,5}}=>{{1,3},{2,6,7},{4,5}} {{1,3},{2,6},{4,5,7}}=>{{1,3},{2,6},{4,5,7}} {{1,3},{2,6},{4,5},{7}}=>{{1,3},{2,6},{4,5},{7}} {{1,3,7},{2},{4,5,6}}=>{{1,2,7},{3},{4,5,6}} {{1,3},{2,7},{4,5,6}}=>{{1,3},{2,7},{4,5,6}} {{1,3},{2},{4,5,6,7}}=>{{1,2,3},{4,5,6,7}} {{1,3},{2},{4,5,6},{7}}=>{{1,2,3},{4,5,6},{7}} {{1,3,7},{2},{4,5},{6}}=>{{1,2,7},{3},{4,5},{6}} {{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,7},{4,5},{6}} {{1,3},{2},{4,5,7},{6}}=>{{1,2,3},{4,5,7},{6}} {{1,3},{2},{4,5},{6,7}}=>{{1,2,3},{4,5},{6,7}} {{1,3},{2},{4,5},{6},{7}}=>{{1,2,3},{4,5},{6},{7}} {{1,3,6,7},{2},{4},{5}}=>{{1,2,6,7},{3},{4},{5}} {{1,3,6},{2,7},{4},{5}}=>{{1,4,6},{2,7},{3},{5}} {{1,3,6},{2},{4,7},{5}}=>{{1,2,6},{3},{4,7},{5}} {{1,3,6},{2},{4},{5,7}}=>{{1,2,6},{3},{4},{5,7}} {{1,3,6},{2},{4},{5},{7}}=>{{1,2,6},{3},{4},{5},{7}} {{1,3,7},{2,6},{4},{5}}=>{{1,4,7},{2,6},{3},{5}} {{1,3},{2,6,7},{4},{5}}=>{{1,3},{2,6,7},{4},{5}} {{1,3},{2,6},{4,7},{5}}=>{{1,3},{2,6},{4,7},{5}} {{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}} {{1,3},{2,6},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}} {{1,3,7},{2},{4,6},{5}}=>{{1,2,7},{3},{4,6},{5}} {{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,7},{4,6},{5}} {{1,3},{2},{4,6,7},{5}}=>{{1,2,3},{4,6,7},{5}} {{1,3},{2},{4,6},{5,7}}=>{{1,2,3},{4,6},{5,7}} {{1,3},{2},{4,6},{5},{7}}=>{{1,2,3},{4,6},{5},{7}} {{1,3,7},{2},{4},{5,6}}=>{{1,2,7},{3},{4},{5,6}} {{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,7},{4},{5,6}} {{1,3},{2},{4,7},{5,6}}=>{{1,2,3},{4,7},{5,6}} {{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}} {{1,3},{2},{4},{5,6},{7}}=>{{1,2,3},{4},{5,6},{7}} {{1,3,7},{2},{4},{5},{6}}=>{{1,2,7},{3},{4},{5},{6}} {{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}} {{1,3},{2},{4,7},{5},{6}}=>{{1,2,3},{4,7},{5},{6}} {{1,3},{2},{4},{5,7},{6}}=>{{1,2,3},{4},{5,7},{6}} {{1,3},{2},{4},{5},{6,7}}=>{{1,2,3},{4},{5},{6,7}} {{1,3},{2},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}} {{1,4,5,6,7},{2,3}}=>{{1,4,5,6,7},{2,3}} {{1,4,5,6},{2,3,7}}=>{{1,6},{2,3,7},{4},{5}} {{1,4,5,6},{2,3},{7}}=>{{1,4,5,6},{2,3},{7}} {{1,4,5,7},{2,3,6}}=>{{1,7},{2,3,6},{4},{5}} {{1,4,5},{2,3,6,7}}=>{{1,5},{2,3,6,7},{4}} {{1,4,5},{2,3,6},{7}}=>{{1,5},{2,3,6},{4},{7}} {{1,4,5,7},{2,3},{6}}=>{{1,4,5,7},{2,3},{6}} {{1,4,5},{2,3,7},{6}}=>{{1,5},{2,3,7},{4},{6}} {{1,4,5},{2,3},{6,7}}=>{{1,4,5},{2,3},{6,7}} {{1,4,5},{2,3},{6},{7}}=>{{1,4,5},{2,3},{6},{7}} {{1,4,6,7},{2,3,5}}=>{{1,6,7},{2,3,5},{4}} {{1,4,6},{2,3,5,7}}=>{{1,6},{2,3,5,7},{4}} {{1,4,6},{2,3,5},{7}}=>{{1,6},{2,3,5},{4},{7}} {{1,4,7},{2,3,5,6}}=>{{1,7},{2,3,5,6},{4}} {{1,4},{2,3,5,6,7}}=>{{1,4},{2,3,5,6,7}} {{1,4},{2,3,5,6},{7}}=>{{1,4},{2,3,5,6},{7}} {{1,4,7},{2,3,5},{6}}=>{{1,7},{2,3,5},{4},{6}} {{1,4},{2,3,5,7},{6}}=>{{1,4},{2,3,5,7},{6}} {{1,4},{2,3,5},{6,7}}=>{{1,4},{2,3,5},{6,7}} {{1,4},{2,3,5},{6},{7}}=>{{1,4},{2,3,5},{6},{7}} {{1,4,6,7},{2,3},{5}}=>{{1,4,6,7},{2,3},{5}} {{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,3,7},{4}} {{1,4,6},{2,3},{5,7}}=>{{1,4,6},{2,3},{5,7}} {{1,4,6},{2,3},{5},{7}}=>{{1,4,6},{2,3},{5},{7}} {{1,4,7},{2,3,6},{5}}=>{{1,5,7},{2,3,6},{4}} {{1,4},{2,3,6,7},{5}}=>{{1,4},{2,3,6,7},{5}} {{1,4},{2,3,6},{5,7}}=>{{1,4},{2,3,6},{5,7}} {{1,4},{2,3,6},{5},{7}}=>{{1,4},{2,3,6},{5},{7}} {{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}} {{1,4},{2,3,7},{5,6}}=>{{1,4},{2,3,7},{5,6}} {{1,4},{2,3},{5,6,7}}=>{{1,4},{2,3},{5,6,7}} {{1,4},{2,3},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}} {{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2,3},{5},{6}} {{1,4},{2,3,7},{5},{6}}=>{{1,4},{2,3,7},{5},{6}} {{1,4},{2,3},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}} {{1,4},{2,3},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}} {{1,4},{2,3},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}} {{1,5,6,7},{2,3,4}}=>{{1,5,6,7},{2,3,4}} {{1,5,6},{2,3,4,7}}=>{{1,6},{2,3,4,7},{5}} {{1,5,6},{2,3,4},{7}}=>{{1,5,6},{2,3,4},{7}} {{1,5,7},{2,3,4,6}}=>{{1,7},{2,3,4,6},{5}} {{1,5},{2,3,4,6,7}}=>{{1,5},{2,3,4,6,7}} {{1,5},{2,3,4,6},{7}}=>{{1,5},{2,3,4,6},{7}} {{1,5,7},{2,3,4},{6}}=>{{1,5,7},{2,3,4},{6}} {{1,5},{2,3,4,7},{6}}=>{{1,5},{2,3,4,7},{6}} {{1,5},{2,3,4},{6,7}}=>{{1,5},{2,3,4},{6,7}} {{1,5},{2,3,4},{6},{7}}=>{{1,5},{2,3,4},{6},{7}} {{1,6,7},{2,3,4,5}}=>{{1,6,7},{2,3,4,5}} {{1,6},{2,3,4,5,7}}=>{{1,6},{2,3,4,5,7}} {{1,6},{2,3,4,5},{7}}=>{{1,6},{2,3,4,5},{7}} {{1,7},{2,3,4,5,6}}=>{{1,7},{2,3,4,5,6}} {{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}} {{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}} {{1,7},{2,3,4,5},{6}}=>{{1,7},{2,3,4,5},{6}} {{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}} {{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}} {{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}} {{1,6,7},{2,3,4},{5}}=>{{1,6,7},{2,3,4},{5}} {{1,6},{2,3,4,7},{5}}=>{{1,5,6},{2,3,4,7}} {{1,6},{2,3,4},{5,7}}=>{{1,6},{2,3,4},{5,7}} {{1,6},{2,3,4},{5},{7}}=>{{1,6},{2,3,4},{5},{7}} {{1,7},{2,3,4,6},{5}}=>{{1,5,7},{2,3,4,6}} {{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}} {{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,6},{5,7}} {{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}} {{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3,4},{5,6}} {{1},{2,3,4,7},{5,6}}=>{{1},{2,3,4,7},{5,6}} {{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}} {{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}} {{1,7},{2,3,4},{5},{6}}=>{{1,7},{2,3,4},{5},{6}} {{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}} {{1},{2,3,4},{5,7},{6}}=>{{1},{2,3,4},{5,7},{6}} {{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}} {{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}} {{1,5,6,7},{2,3},{4}}=>{{1,5,6,7},{2,3},{4}} {{1,5,6},{2,3,7},{4}}=>{{1,4,6},{2,3,7},{5}} {{1,5,6},{2,3},{4,7}}=>{{1,5,6},{2,3},{4,7}} {{1,5,6},{2,3},{4},{7}}=>{{1,5,6},{2,3},{4},{7}} {{1,5,7},{2,3,6},{4}}=>{{1,4,7},{2,3,6},{5}} {{1,5},{2,3,6,7},{4}}=>{{1,4,5},{2,3,6,7}} {{1,5},{2,3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}} {{1,5},{2,3,6},{4},{7}}=>{{1,4,5},{2,3,6},{7}} {{1,5,7},{2,3},{4,6}}=>{{1,5,7},{2,3},{4,6}} {{1,5},{2,3,7},{4,6}}=>{{1,5},{2,3,7},{4,6}} {{1,5},{2,3},{4,6,7}}=>{{1,5},{2,3},{4,6,7}} {{1,5},{2,3},{4,6},{7}}=>{{1,5},{2,3},{4,6},{7}} {{1,5,7},{2,3},{4},{6}}=>{{1,5,7},{2,3},{4},{6}} {{1,5},{2,3,7},{4},{6}}=>{{1,4,5},{2,3,7},{6}} {{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,3},{4,7},{6}} {{1,5},{2,3},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}} {{1,5},{2,3},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}} {{1,6,7},{2,3,5},{4}}=>{{1,4,6,7},{2,3,5}} {{1,6},{2,3,5,7},{4}}=>{{1,4,6},{2,3,5,7}} {{1,6},{2,3,5},{4,7}}=>{{1,6},{2,3,5},{4,7}} {{1,6},{2,3,5},{4},{7}}=>{{1,4,6},{2,3,5},{7}} {{1,7},{2,3,5,6},{4}}=>{{1,4,7},{2,3,5,6}} {{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}} {{1},{2,3,5,6},{4,7}}=>{{1},{2,3,5,6},{4,7}} {{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}} {{1,7},{2,3,5},{4,6}}=>{{1,7},{2,3,5},{4,6}} {{1},{2,3,5,7},{4,6}}=>{{1},{2,3,5,7},{4,6}} {{1},{2,3,5},{4,6,7}}=>{{1},{2,3,5},{4,6,7}} {{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,5},{4,6},{7}} {{1,7},{2,3,5},{4},{6}}=>{{1,4,7},{2,3,5},{6}} {{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}} {{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,5},{4,7},{6}} {{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}} {{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}} {{1,6,7},{2,3},{4,5}}=>{{1,6,7},{2,3},{4,5}} {{1,6},{2,3,7},{4,5}}=>{{1,6},{2,3,7},{4,5}} {{1,6},{2,3},{4,5,7}}=>{{1,6},{2,3},{4,5,7}} {{1,6},{2,3},{4,5},{7}}=>{{1,6},{2,3},{4,5},{7}} {{1,7},{2,3,6},{4,5}}=>{{1,7},{2,3,6},{4,5}} {{1},{2,3,6,7},{4,5}}=>{{1},{2,3,6,7},{4,5}} {{1},{2,3,6},{4,5,7}}=>{{1},{2,3,6},{4,5,7}} {{1},{2,3,6},{4,5},{7}}=>{{1},{2,3,6},{4,5},{7}} {{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3},{4,5,6}} {{1},{2,3,7},{4,5,6}}=>{{1},{2,3,7},{4,5,6}} {{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}} {{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}} {{1,7},{2,3},{4,5},{6}}=>{{1,7},{2,3},{4,5},{6}} {{1},{2,3,7},{4,5},{6}}=>{{1},{2,3,7},{4,5},{6}} {{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}} {{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}} {{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}} {{1,6,7},{2,3},{4},{5}}=>{{1,6,7},{2,3},{4},{5}} {{1,6},{2,3,7},{4},{5}}=>{{1,4,5,6},{2,3,7}} {{1,6},{2,3},{4,7},{5}}=>{{1,6},{2,3},{4,7},{5}} {{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,3},{4},{5,7}} {{1,6},{2,3},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}} {{1,7},{2,3,6},{4},{5}}=>{{1,4,5,7},{2,3,6}} {{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}} {{1},{2,3,6},{4,7},{5}}=>{{1},{2,3,6},{4,7},{5}} {{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,6},{4},{5,7}} {{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}} {{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,3},{4,6},{5}} {{1},{2,3,7},{4,6},{5}}=>{{1},{2,3,7},{4,6},{5}} {{1},{2,3},{4,6,7},{5}}=>{{1},{2,3},{4,6,7},{5}} {{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,6},{5,7}} {{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}} {{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}} {{1},{2,3,7},{4},{5,6}}=>{{1},{2,3,7},{4},{5,6}} {{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,7},{5,6}} {{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}} {{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}} {{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}} {{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}} {{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}} {{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}} {{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}} {{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}} {{1,4,5,6,7},{2},{3}}=>{{1,2,3,5,6,7},{4}} {{1,4,5,6},{2,7},{3}}=>{{1,3,5,6},{2,7},{4}} {{1,4,5,6},{2},{3,7}}=>{{1,2,5,6},{3,7},{4}} {{1,4,5,6},{2},{3},{7}}=>{{1,2,3,5,6},{4},{7}} {{1,4,5,7},{2,6},{3}}=>{{1,3,5,7},{2,6},{4}} {{1,4,5},{2,6,7},{3}}=>{{1,3,5},{2,6,7},{4}} {{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,7},{4}} {{1,4,5},{2,6},{3},{7}}=>{{1,3,5},{2,6},{4},{7}} {{1,4,5,7},{2},{3,6}}=>{{1,2,5,7},{3,6},{4}} {{1,4,5},{2,7},{3,6}}=>{{1,5},{2,7},{3,6},{4}} {{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,6,7},{4}} {{1,4,5},{2},{3,6},{7}}=>{{1,2,5},{3,6},{4},{7}} {{1,4,5,7},{2},{3},{6}}=>{{1,2,3,5,7},{4},{6}} {{1,4,5},{2,7},{3},{6}}=>{{1,3,5},{2,7},{4},{6}} {{1,4,5},{2},{3,7},{6}}=>{{1,2,5},{3,7},{4},{6}} {{1,4,5},{2},{3},{6,7}}=>{{1,2,3,5},{4},{6,7}} {{1,4,5},{2},{3},{6},{7}}=>{{1,2,3,5},{4},{6},{7}} {{1,4,6,7},{2,5},{3}}=>{{1,3,6,7},{2,5},{4}} {{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}} {{1,4,6},{2,5},{3,7}}=>{{1,6},{2,5},{3,7},{4}} {{1,4,6},{2,5},{3},{7}}=>{{1,3,6},{2,5},{4},{7}} {{1,4,7},{2,5,6},{3}}=>{{1,3,7},{2,5,6},{4}} {{1,4},{2,5,6,7},{3}}=>{{1,3,4},{2,5,6,7}} {{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5,6},{3,7}} {{1,4},{2,5,6},{3},{7}}=>{{1,3,4},{2,5,6},{7}} {{1,4,7},{2,5},{3,6}}=>{{1,7},{2,5},{3,6},{4}} {{1,4},{2,5,7},{3,6}}=>{{1,4},{2,5,7},{3,6}} {{1,4},{2,5},{3,6,7}}=>{{1,4},{2,5},{3,6,7}} {{1,4},{2,5},{3,6},{7}}=>{{1,4},{2,5},{3,6},{7}} {{1,4,7},{2,5},{3},{6}}=>{{1,3,7},{2,5},{4},{6}} {{1,4},{2,5,7},{3},{6}}=>{{1,3,4},{2,5,7},{6}} {{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,7},{6}} {{1,4},{2,5},{3},{6,7}}=>{{1,3,4},{2,5},{6,7}} {{1,4},{2,5},{3},{6},{7}}=>{{1,3,4},{2,5},{6},{7}} {{1,4,6,7},{2},{3,5}}=>{{1,2,6,7},{3,5},{4}} {{1,4,6},{2,7},{3,5}}=>{{1,6},{2,7},{3,5},{4}} {{1,4,6},{2},{3,5,7}}=>{{1,2,6},{3,5,7},{4}} {{1,4,6},{2},{3,5},{7}}=>{{1,2,6},{3,5},{4},{7}} {{1,4,7},{2,6},{3,5}}=>{{1,7},{2,6},{3,5},{4}} {{1,4},{2,6,7},{3,5}}=>{{1,4},{2,6,7},{3,5}} {{1,4},{2,6},{3,5,7}}=>{{1,4},{2,6},{3,5,7}} {{1,4},{2,6},{3,5},{7}}=>{{1,4},{2,6},{3,5},{7}} {{1,4,7},{2},{3,5,6}}=>{{1,2,7},{3,5,6},{4}} {{1,4},{2,7},{3,5,6}}=>{{1,4},{2,7},{3,5,6}} {{1,4},{2},{3,5,6,7}}=>{{1,2,4},{3,5,6,7}} {{1,4},{2},{3,5,6},{7}}=>{{1,2,4},{3,5,6},{7}} {{1,4,7},{2},{3,5},{6}}=>{{1,2,7},{3,5},{4},{6}} {{1,4},{2,7},{3,5},{6}}=>{{1,4},{2,7},{3,5},{6}} {{1,4},{2},{3,5,7},{6}}=>{{1,2,4},{3,5,7},{6}} {{1,4},{2},{3,5},{6,7}}=>{{1,2,4},{3,5},{6,7}} {{1,4},{2},{3,5},{6},{7}}=>{{1,2,4},{3,5},{6},{7}} {{1,4,6,7},{2},{3},{5}}=>{{1,2,3,6,7},{4},{5}} {{1,4,6},{2,7},{3},{5}}=>{{1,3,6},{2,7},{4},{5}} {{1,4,6},{2},{3,7},{5}}=>{{1,2,6},{3,7},{4},{5}} {{1,4,6},{2},{3},{5,7}}=>{{1,2,3,6},{4},{5,7}} {{1,4,6},{2},{3},{5},{7}}=>{{1,2,3,6},{4},{5},{7}} {{1,4,7},{2,6},{3},{5}}=>{{1,3,7},{2,6},{4},{5}} {{1,4},{2,6,7},{3},{5}}=>{{1,3,4},{2,6,7},{5}} {{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,6},{3,7},{5}} {{1,4},{2,6},{3},{5,7}}=>{{1,3,4},{2,6},{5,7}} {{1,4},{2,6},{3},{5},{7}}=>{{1,3,4},{2,6},{5},{7}} {{1,4,7},{2},{3,6},{5}}=>{{1,2,7},{3,6},{4},{5}} {{1,4},{2,7},{3,6},{5}}=>{{1,4},{2,7},{3,6},{5}} {{1,4},{2},{3,6,7},{5}}=>{{1,2,4},{3,6,7},{5}} {{1,4},{2},{3,6},{5,7}}=>{{1,2,4},{3,6},{5,7}} {{1,4},{2},{3,6},{5},{7}}=>{{1,2,4},{3,6},{5},{7}} {{1,4,7},{2},{3},{5,6}}=>{{1,2,3,7},{4},{5,6}} {{1,4},{2,7},{3},{5,6}}=>{{1,3,4},{2,7},{5,6}} {{1,4},{2},{3,7},{5,6}}=>{{1,2,4},{3,7},{5,6}} {{1,4},{2},{3},{5,6,7}}=>{{1,2,3,4},{5,6,7}} {{1,4},{2},{3},{5,6},{7}}=>{{1,2,3,4},{5,6},{7}} {{1,4,7},{2},{3},{5},{6}}=>{{1,2,3,7},{4},{5},{6}} {{1,4},{2,7},{3},{5},{6}}=>{{1,3,4},{2,7},{5},{6}} {{1,4},{2},{3,7},{5},{6}}=>{{1,2,4},{3,7},{5},{6}} {{1,4},{2},{3},{5,7},{6}}=>{{1,2,3,4},{5,7},{6}} {{1,4},{2},{3},{5},{6,7}}=>{{1,2,3,4},{5},{6,7}} {{1,4},{2},{3},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}} {{1,5,6,7},{2,4},{3}}=>{{1,3,5,6,7},{2,4}} {{1,5,6},{2,4,7},{3}}=>{{1,3,6},{2,4,7},{5}} {{1,5,6},{2,4},{3,7}}=>{{1,5,6},{2,4},{3,7}} {{1,5,6},{2,4},{3},{7}}=>{{1,3,5,6},{2,4},{7}} {{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}} {{1,5},{2,4,6,7},{3}}=>{{1,3,5},{2,4,6,7}} {{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}} {{1,5},{2,4,6},{3},{7}}=>{{1,3,5},{2,4,6},{7}} {{1,5,7},{2,4},{3,6}}=>{{1,5,7},{2,4},{3,6}} {{1,5},{2,4,7},{3,6}}=>{{1,5},{2,4,7},{3,6}} {{1,5},{2,4},{3,6,7}}=>{{1,5},{2,4},{3,6,7}} {{1,5},{2,4},{3,6},{7}}=>{{1,5},{2,4},{3,6},{7}} {{1,5,7},{2,4},{3},{6}}=>{{1,3,5,7},{2,4},{6}} {{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,4,7},{6}} {{1,5},{2,4},{3,7},{6}}=>{{1,5},{2,4},{3,7},{6}} {{1,5},{2,4},{3},{6,7}}=>{{1,3,5},{2,4},{6,7}} {{1,5},{2,4},{3},{6},{7}}=>{{1,3,5},{2,4},{6},{7}} {{1,6,7},{2,4,5},{3}}=>{{1,3,6,7},{2,4,5}} {{1,6},{2,4,5,7},{3}}=>{{1,3,6},{2,4,5,7}} {{1,6},{2,4,5},{3,7}}=>{{1,6},{2,4,5},{3,7}} {{1,6},{2,4,5},{3},{7}}=>{{1,3,6},{2,4,5},{7}} {{1,7},{2,4,5,6},{3}}=>{{1,3,7},{2,4,5,6}} {{1},{2,4,5,6,7},{3}}=>{{1},{2,4,5,6,7},{3}} {{1},{2,4,5,6},{3,7}}=>{{1},{2,4,5,6},{3,7}} {{1},{2,4,5,6},{3},{7}}=>{{1},{2,4,5,6},{3},{7}} {{1,7},{2,4,5},{3,6}}=>{{1,7},{2,4,5},{3,6}} {{1},{2,4,5,7},{3,6}}=>{{1},{2,4,5,7},{3,6}} {{1},{2,4,5},{3,6,7}}=>{{1},{2,4,5},{3,6,7}} {{1},{2,4,5},{3,6},{7}}=>{{1},{2,4,5},{3,6},{7}} {{1,7},{2,4,5},{3},{6}}=>{{1,3,7},{2,4,5},{6}} {{1},{2,4,5,7},{3},{6}}=>{{1},{2,4,5,7},{3},{6}} {{1},{2,4,5},{3,7},{6}}=>{{1},{2,4,5},{3,7},{6}} {{1},{2,4,5},{3},{6,7}}=>{{1},{2,4,5},{3},{6,7}} {{1},{2,4,5},{3},{6},{7}}=>{{1},{2,4,5},{3},{6},{7}} {{1,6,7},{2,4},{3,5}}=>{{1,6,7},{2,4},{3,5}} {{1,6},{2,4,7},{3,5}}=>{{1,6},{2,4,7},{3,5}} {{1,6},{2,4},{3,5,7}}=>{{1,6},{2,4},{3,5,7}} {{1,6},{2,4},{3,5},{7}}=>{{1,6},{2,4},{3,5},{7}} {{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}} {{1},{2,4,6,7},{3,5}}=>{{1},{2,4,6,7},{3,5}} {{1},{2,4,6},{3,5,7}}=>{{1},{2,4,6},{3,5,7}} {{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}} {{1,7},{2,4},{3,5,6}}=>{{1,7},{2,4},{3,5,6}} {{1},{2,4,7},{3,5,6}}=>{{1},{2,4,7},{3,5,6}} {{1},{2,4},{3,5,6,7}}=>{{1},{2,4},{3,5,6,7}} {{1},{2,4},{3,5,6},{7}}=>{{1},{2,4},{3,5,6},{7}} {{1,7},{2,4},{3,5},{6}}=>{{1,7},{2,4},{3,5},{6}} {{1},{2,4,7},{3,5},{6}}=>{{1},{2,4,7},{3,5},{6}} {{1},{2,4},{3,5,7},{6}}=>{{1},{2,4},{3,5,7},{6}} {{1},{2,4},{3,5},{6,7}}=>{{1},{2,4},{3,5},{6,7}} {{1},{2,4},{3,5},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}} {{1,6,7},{2,4},{3},{5}}=>{{1,3,6,7},{2,4},{5}} {{1,6},{2,4,7},{3},{5}}=>{{1,3,5,6},{2,4,7}} {{1,6},{2,4},{3,7},{5}}=>{{1,6},{2,4},{3,7},{5}} {{1,6},{2,4},{3},{5,7}}=>{{1,3,6},{2,4},{5,7}} {{1,6},{2,4},{3},{5},{7}}=>{{1,3,6},{2,4},{5},{7}} {{1,7},{2,4,6},{3},{5}}=>{{1,3,5,7},{2,4,6}} {{1},{2,4,6,7},{3},{5}}=>{{1},{2,4,6,7},{3},{5}} {{1},{2,4,6},{3,7},{5}}=>{{1},{2,4,6},{3,7},{5}} {{1},{2,4,6},{3},{5,7}}=>{{1},{2,4,6},{3},{5,7}} {{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}} {{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,4},{3,6},{5}} {{1},{2,4,7},{3,6},{5}}=>{{1},{2,4,7},{3,6},{5}} {{1},{2,4},{3,6,7},{5}}=>{{1},{2,4},{3,6,7},{5}} {{1},{2,4},{3,6},{5,7}}=>{{1},{2,4},{3,6},{5,7}} {{1},{2,4},{3,6},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}} {{1,7},{2,4},{3},{5,6}}=>{{1,3,7},{2,4},{5,6}} {{1},{2,4,7},{3},{5,6}}=>{{1},{2,4,7},{3},{5,6}} {{1},{2,4},{3,7},{5,6}}=>{{1},{2,4},{3,7},{5,6}} {{1},{2,4},{3},{5,6,7}}=>{{1},{2,4},{3},{5,6,7}} {{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}} {{1,7},{2,4},{3},{5},{6}}=>{{1,3,7},{2,4},{5},{6}} {{1},{2,4,7},{3},{5},{6}}=>{{1},{2,4,7},{3},{5},{6}} {{1},{2,4},{3,7},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}} {{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}} {{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}} {{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}} {{1,5,6,7},{2},{3,4}}=>{{1,2,5,6,7},{3,4}} {{1,5,6},{2,7},{3,4}}=>{{1,5,6},{2,7},{3,4}} {{1,5,6},{2},{3,4,7}}=>{{1,2,6},{3,4,7},{5}} {{1,5,6},{2},{3,4},{7}}=>{{1,2,5,6},{3,4},{7}} {{1,5,7},{2,6},{3,4}}=>{{1,5,7},{2,6},{3,4}} {{1,5},{2,6,7},{3,4}}=>{{1,5},{2,6,7},{3,4}} {{1,5},{2,6},{3,4,7}}=>{{1,5},{2,6},{3,4,7}} {{1,5},{2,6},{3,4},{7}}=>{{1,5},{2,6},{3,4},{7}} {{1,5,7},{2},{3,4,6}}=>{{1,2,7},{3,4,6},{5}} {{1,5},{2,7},{3,4,6}}=>{{1,5},{2,7},{3,4,6}} {{1,5},{2},{3,4,6,7}}=>{{1,2,5},{3,4,6,7}} {{1,5},{2},{3,4,6},{7}}=>{{1,2,5},{3,4,6},{7}} {{1,5,7},{2},{3,4},{6}}=>{{1,2,5,7},{3,4},{6}} {{1,5},{2,7},{3,4},{6}}=>{{1,5},{2,7},{3,4},{6}} {{1,5},{2},{3,4,7},{6}}=>{{1,2,5},{3,4,7},{6}} {{1,5},{2},{3,4},{6,7}}=>{{1,2,5},{3,4},{6,7}} {{1,5},{2},{3,4},{6},{7}}=>{{1,2,5},{3,4},{6},{7}} {{1,6,7},{2,5},{3,4}}=>{{1,6,7},{2,5},{3,4}} {{1,6},{2,5,7},{3,4}}=>{{1,6},{2,5,7},{3,4}} {{1,6},{2,5},{3,4,7}}=>{{1,6},{2,5},{3,4,7}} {{1,6},{2,5},{3,4},{7}}=>{{1,6},{2,5},{3,4},{7}} {{1,7},{2,5,6},{3,4}}=>{{1,7},{2,5,6},{3,4}} {{1},{2,5,6,7},{3,4}}=>{{1},{2,5,6,7},{3,4}} {{1},{2,5,6},{3,4,7}}=>{{1},{2,5,6},{3,4,7}} {{1},{2,5,6},{3,4},{7}}=>{{1},{2,5,6},{3,4},{7}} {{1,7},{2,5},{3,4,6}}=>{{1,7},{2,5},{3,4,6}} {{1},{2,5,7},{3,4,6}}=>{{1},{2,5,7},{3,4,6}} {{1},{2,5},{3,4,6,7}}=>{{1},{2,5},{3,4,6,7}} {{1},{2,5},{3,4,6},{7}}=>{{1},{2,5},{3,4,6},{7}} {{1,7},{2,5},{3,4},{6}}=>{{1,7},{2,5},{3,4},{6}} {{1},{2,5,7},{3,4},{6}}=>{{1},{2,5,7},{3,4},{6}} {{1},{2,5},{3,4,7},{6}}=>{{1},{2,5},{3,4,7},{6}} {{1},{2,5},{3,4},{6,7}}=>{{1},{2,5},{3,4},{6,7}} {{1},{2,5},{3,4},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}} {{1,6,7},{2},{3,4,5}}=>{{1,2,6,7},{3,4,5}} {{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}} {{1,6},{2},{3,4,5,7}}=>{{1,2,6},{3,4,5,7}} {{1,6},{2},{3,4,5},{7}}=>{{1,2,6},{3,4,5},{7}} {{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}} {{1},{2,6,7},{3,4,5}}=>{{1},{2,6,7},{3,4,5}} {{1},{2,6},{3,4,5,7}}=>{{1},{2,6},{3,4,5,7}} {{1},{2,6},{3,4,5},{7}}=>{{1},{2,6},{3,4,5},{7}} {{1,7},{2},{3,4,5,6}}=>{{1,2,7},{3,4,5,6}} {{1},{2,7},{3,4,5,6}}=>{{1},{2,7},{3,4,5,6}} {{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}} {{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}} {{1,7},{2},{3,4,5},{6}}=>{{1,2,7},{3,4,5},{6}} {{1},{2,7},{3,4,5},{6}}=>{{1},{2,7},{3,4,5},{6}} {{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}} {{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}} {{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}} {{1,6,7},{2},{3,4},{5}}=>{{1,2,6,7},{3,4},{5}} {{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3,4},{5}} {{1,6},{2},{3,4,7},{5}}=>{{1,2,5,6},{3,4,7}} {{1,6},{2},{3,4},{5,7}}=>{{1,2,6},{3,4},{5,7}} {{1,6},{2},{3,4},{5},{7}}=>{{1,2,6},{3,4},{5},{7}} {{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3,4},{5}} {{1},{2,6,7},{3,4},{5}}=>{{1},{2,6,7},{3,4},{5}} {{1},{2,6},{3,4,7},{5}}=>{{1},{2,6},{3,4,7},{5}} {{1},{2,6},{3,4},{5,7}}=>{{1},{2,6},{3,4},{5,7}} {{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}} {{1,7},{2},{3,4,6},{5}}=>{{1,2,5,7},{3,4,6}} {{1},{2,7},{3,4,6},{5}}=>{{1},{2,7},{3,4,6},{5}} {{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}} {{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,6},{5,7}} {{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}} {{1,7},{2},{3,4},{5,6}}=>{{1,2,7},{3,4},{5,6}} {{1},{2,7},{3,4},{5,6}}=>{{1},{2,7},{3,4},{5,6}} {{1},{2},{3,4,7},{5,6}}=>{{1},{2},{3,4,7},{5,6}} {{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}} {{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}} {{1,7},{2},{3,4},{5},{6}}=>{{1,2,7},{3,4},{5},{6}} {{1},{2,7},{3,4},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}} {{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}} {{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}} {{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}} {{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}} {{1,5,6,7},{2},{3},{4}}=>{{1,2,3,4,6,7},{5}} {{1,5,6},{2,7},{3},{4}}=>{{1,3,4,6},{2,7},{5}} {{1,5,6},{2},{3,7},{4}}=>{{1,2,4,6},{3,7},{5}} {{1,5,6},{2},{3},{4,7}}=>{{1,2,3,6},{4,7},{5}} {{1,5,6},{2},{3},{4},{7}}=>{{1,2,3,4,6},{5},{7}} {{1,5,7},{2,6},{3},{4}}=>{{1,3,4,7},{2,6},{5}} {{1,5},{2,6,7},{3},{4}}=>{{1,3,4,5},{2,6,7}} {{1,5},{2,6},{3,7},{4}}=>{{1,4,5},{2,6},{3,7}} {{1,5},{2,6},{3},{4,7}}=>{{1,3,5},{2,6},{4,7}} {{1,5},{2,6},{3},{4},{7}}=>{{1,3,4,5},{2,6},{7}} {{1,5,7},{2},{3,6},{4}}=>{{1,2,4,7},{3,6},{5}} {{1,5},{2,7},{3,6},{4}}=>{{1,4,5},{2,7},{3,6}} {{1,5},{2},{3,6,7},{4}}=>{{1,2,4,5},{3,6,7}} {{1,5},{2},{3,6},{4,7}}=>{{1,2,5},{3,6},{4,7}} {{1,5},{2},{3,6},{4},{7}}=>{{1,2,4,5},{3,6},{7}} {{1,5,7},{2},{3},{4,6}}=>{{1,2,3,7},{4,6},{5}} {{1,5},{2,7},{3},{4,6}}=>{{1,3,5},{2,7},{4,6}} {{1,5},{2},{3,7},{4,6}}=>{{1,2,5},{3,7},{4,6}} {{1,5},{2},{3},{4,6,7}}=>{{1,2,3,5},{4,6,7}} {{1,5},{2},{3},{4,6},{7}}=>{{1,2,3,5},{4,6},{7}} {{1,5,7},{2},{3},{4},{6}}=>{{1,2,3,4,7},{5},{6}} {{1,5},{2,7},{3},{4},{6}}=>{{1,3,4,5},{2,7},{6}} {{1,5},{2},{3,7},{4},{6}}=>{{1,2,4,5},{3,7},{6}} {{1,5},{2},{3},{4,7},{6}}=>{{1,2,3,5},{4,7},{6}} {{1,5},{2},{3},{4},{6,7}}=>{{1,2,3,4,5},{6,7}} {{1,5},{2},{3},{4},{6},{7}}=>{{1,2,3,4,5},{6},{7}} {{1,6,7},{2,5},{3},{4}}=>{{1,3,4,6,7},{2,5}} {{1,6},{2,5,7},{3},{4}}=>{{1,3,4,6},{2,5,7}} {{1,6},{2,5},{3,7},{4}}=>{{1,4,6},{2,5},{3,7}} {{1,6},{2,5},{3},{4,7}}=>{{1,3,6},{2,5},{4,7}} {{1,6},{2,5},{3},{4},{7}}=>{{1,3,4,6},{2,5},{7}} {{1,7},{2,5,6},{3},{4}}=>{{1,3,4,7},{2,5,6}} {{1},{2,5,6,7},{3},{4}}=>{{1},{2,5,6,7},{3},{4}} {{1},{2,5,6},{3,7},{4}}=>{{1},{2,5,6},{3,7},{4}} {{1},{2,5,6},{3},{4,7}}=>{{1},{2,5,6},{3},{4,7}} {{1},{2,5,6},{3},{4},{7}}=>{{1},{2,5,6},{3},{4},{7}} {{1,7},{2,5},{3,6},{4}}=>{{1,4,7},{2,5},{3,6}} {{1},{2,5,7},{3,6},{4}}=>{{1},{2,5,7},{3,6},{4}} {{1},{2,5},{3,6,7},{4}}=>{{1},{2,5},{3,6,7},{4}} {{1},{2,5},{3,6},{4,7}}=>{{1},{2,5},{3,6},{4,7}} {{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}} {{1,7},{2,5},{3},{4,6}}=>{{1,3,7},{2,5},{4,6}} {{1},{2,5,7},{3},{4,6}}=>{{1},{2,5,7},{3},{4,6}} {{1},{2,5},{3,7},{4,6}}=>{{1},{2,5},{3,7},{4,6}} {{1},{2,5},{3},{4,6,7}}=>{{1},{2,5},{3},{4,6,7}} {{1},{2,5},{3},{4,6},{7}}=>{{1},{2,5},{3},{4,6},{7}} {{1,7},{2,5},{3},{4},{6}}=>{{1,3,4,7},{2,5},{6}} {{1},{2,5,7},{3},{4},{6}}=>{{1},{2,5,7},{3},{4},{6}} {{1},{2,5},{3,7},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}} {{1},{2,5},{3},{4,7},{6}}=>{{1},{2,5},{3},{4,7},{6}} {{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}} {{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}} {{1,6,7},{2},{3,5},{4}}=>{{1,2,4,6,7},{3,5}} {{1,6},{2,7},{3,5},{4}}=>{{1,4,6},{2,7},{3,5}} {{1,6},{2},{3,5,7},{4}}=>{{1,2,4,6},{3,5,7}} {{1,6},{2},{3,5},{4,7}}=>{{1,2,6},{3,5},{4,7}} {{1,6},{2},{3,5},{4},{7}}=>{{1,2,4,6},{3,5},{7}} {{1,7},{2,6},{3,5},{4}}=>{{1,4,7},{2,6},{3,5}} {{1},{2,6,7},{3,5},{4}}=>{{1},{2,6,7},{3,5},{4}} {{1},{2,6},{3,5,7},{4}}=>{{1},{2,6},{3,5,7},{4}} {{1},{2,6},{3,5},{4,7}}=>{{1},{2,6},{3,5},{4,7}} {{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}} {{1,7},{2},{3,5,6},{4}}=>{{1,2,4,7},{3,5,6}} {{1},{2,7},{3,5,6},{4}}=>{{1},{2,7},{3,5,6},{4}} {{1},{2},{3,5,6,7},{4}}=>{{1},{2},{3,5,6,7},{4}} {{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,5,6},{4,7}} {{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3,5,6},{4},{7}} {{1,7},{2},{3,5},{4,6}}=>{{1,2,7},{3,5},{4,6}} {{1},{2,7},{3,5},{4,6}}=>{{1},{2,7},{3,5},{4,6}} {{1},{2},{3,5,7},{4,6}}=>{{1},{2},{3,5,7},{4,6}} {{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,5},{4,6,7}} {{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,5},{4,6},{7}} {{1,7},{2},{3,5},{4},{6}}=>{{1,2,4,7},{3,5},{6}} {{1},{2,7},{3,5},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}} {{1},{2},{3,5,7},{4},{6}}=>{{1},{2},{3,5,7},{4},{6}} {{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,5},{4,7},{6}} {{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}} {{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}} {{1,6,7},{2},{3},{4,5}}=>{{1,2,3,6,7},{4,5}} {{1,6},{2,7},{3},{4,5}}=>{{1,3,6},{2,7},{4,5}} {{1,6},{2},{3,7},{4,5}}=>{{1,2,6},{3,7},{4,5}} {{1,6},{2},{3},{4,5,7}}=>{{1,2,3,6},{4,5,7}} {{1,6},{2},{3},{4,5},{7}}=>{{1,2,3,6},{4,5},{7}} {{1,7},{2,6},{3},{4,5}}=>{{1,3,7},{2,6},{4,5}} {{1},{2,6,7},{3},{4,5}}=>{{1},{2,6,7},{3},{4,5}} {{1},{2,6},{3,7},{4,5}}=>{{1},{2,6},{3,7},{4,5}} {{1},{2,6},{3},{4,5,7}}=>{{1},{2,6},{3},{4,5,7}} {{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3},{4,5},{7}} {{1,7},{2},{3,6},{4,5}}=>{{1,2,7},{3,6},{4,5}} {{1},{2,7},{3,6},{4,5}}=>{{1},{2,7},{3,6},{4,5}} {{1},{2},{3,6,7},{4,5}}=>{{1},{2},{3,6,7},{4,5}} {{1},{2},{3,6},{4,5,7}}=>{{1},{2},{3,6},{4,5,7}} {{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,6},{4,5},{7}} {{1,7},{2},{3},{4,5,6}}=>{{1,2,3,7},{4,5,6}} {{1},{2,7},{3},{4,5,6}}=>{{1},{2,7},{3},{4,5,6}} {{1},{2},{3,7},{4,5,6}}=>{{1},{2},{3,7},{4,5,6}} {{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}} {{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}} {{1,7},{2},{3},{4,5},{6}}=>{{1,2,3,7},{4,5},{6}} {{1},{2,7},{3},{4,5},{6}}=>{{1},{2,7},{3},{4,5},{6}} {{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,7},{4,5},{6}} {{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}} {{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}} {{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}} {{1,6,7},{2},{3},{4},{5}}=>{{1,2,3,4,5,7},{6}} {{1,6},{2,7},{3},{4},{5}}=>{{1,3,4,5,6},{2,7}} {{1,6},{2},{3,7},{4},{5}}=>{{1,2,4,5,6},{3,7}} {{1,6},{2},{3},{4,7},{5}}=>{{1,2,3,5,6},{4,7}} {{1,6},{2},{3},{4},{5,7}}=>{{1,2,3,4,6},{5,7}} {{1,6},{2},{3},{4},{5},{7}}=>{{1,2,3,4,5,6},{7}} {{1,7},{2,6},{3},{4},{5}}=>{{1,3,4,5,7},{2,6}} {{1},{2,6,7},{3},{4},{5}}=>{{1},{2,6,7},{3},{4},{5}} {{1},{2,6},{3,7},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}} {{1},{2,6},{3},{4,7},{5}}=>{{1},{2,6},{3},{4,7},{5}} {{1},{2,6},{3},{4},{5,7}}=>{{1},{2,6},{3},{4},{5,7}} {{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}} {{1,7},{2},{3,6},{4},{5}}=>{{1,2,4,5,7},{3,6}} {{1},{2,7},{3,6},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}} {{1},{2},{3,6,7},{4},{5}}=>{{1},{2},{3,6,7},{4},{5}} {{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,6},{4,7},{5}} {{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,6},{4},{5,7}} {{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}} {{1,7},{2},{3},{4,6},{5}}=>{{1,2,3,5,7},{4,6}} {{1},{2,7},{3},{4,6},{5}}=>{{1},{2,7},{3},{4,6},{5}} {{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,7},{4,6},{5}} {{1},{2},{3},{4,6,7},{5}}=>{{1},{2},{3},{4,6,7},{5}} {{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,6},{5,7}} {{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}} {{1,7},{2},{3},{4},{5,6}}=>{{1,2,3,4,7},{5,6}} {{1},{2,7},{3},{4},{5,6}}=>{{1},{2,7},{3},{4},{5,6}} {{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,7},{4},{5,6}} {{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,7},{5,6}} {{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}} {{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}} {{1,7},{2},{3},{4},{5},{6}}=>{{1,2,3,4,5,6,7}} {{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}} {{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}} {{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}} {{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}} {{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}} {{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}} {{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}} {{1,3},{2,4},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}} {{1,4},{2,3},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}} {{1,5},{2,3},{4,6},{7,8}}=>{{1,5},{2,3},{4,6},{7,8}} {{1,6},{2,3},{4,5},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}} {{1,7},{2,3},{4,5},{6,8}}=>{{1,7},{2,3},{4,5},{6,8}} {{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}} {{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,4},{3,5},{6,7}} {{1,7},{2,4},{3,5},{6,8}}=>{{1,7},{2,4},{3,5},{6,8}} {{1,6},{2,4},{3,5},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}} {{1,5},{2,4},{3,6},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}} {{1,4},{2,5},{3,6},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}} {{1,3},{2,5},{4,6},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}} {{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}} {{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}} {{1,3},{2,6},{4,5},{7,8}}=>{{1,3},{2,6},{4,5},{7,8}} {{1,4},{2,6},{3,5},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}} {{1,5},{2,6},{3,4},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}} {{1,6},{2,5},{3,4},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}} {{1,7},{2,5},{3,4},{6,8}}=>{{1,7},{2,5},{3,4},{6,8}} {{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,5},{3,4},{6,7}} {{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,6},{3,4},{5,7}} {{1,7},{2,6},{3,4},{5,8}}=>{{1,7},{2,6},{3,4},{5,8}} {{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}} {{1,5},{2,7},{3,4},{6,8}}=>{{1,5},{2,7},{3,4},{6,8}} {{1,4},{2,7},{3,5},{6,8}}=>{{1,4},{2,7},{3,5},{6,8}} {{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}} {{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,7},{4,5},{6,8}} {{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,8},{4,5},{6,7}} {{1,3},{2,8},{4,5},{6,7}}=>{{1,3},{2,8},{4,5},{6,7}} {{1,4},{2,8},{3,5},{6,7}}=>{{1,4},{2,8},{3,5},{6,7}} {{1,5},{2,8},{3,4},{6,7}}=>{{1,5},{2,8},{3,4},{6,7}} {{1,6},{2,8},{3,4},{5,7}}=>{{1,6},{2,8},{3,4},{5,7}} {{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}} {{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}} {{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}} {{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}} {{1,6},{2,8},{3,5},{4,7}}=>{{1,6},{2,8},{3,5},{4,7}} {{1,5},{2,8},{3,6},{4,7}}=>{{1,5},{2,8},{3,6},{4,7}} {{1,4},{2,8},{3,6},{5,7}}=>{{1,4},{2,8},{3,6},{5,7}} {{1,3},{2,8},{4,6},{5,7}}=>{{1,3},{2,8},{4,6},{5,7}} {{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,8},{4,6},{5,7}} {{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,7},{4,6},{5,8}} {{1,3},{2,7},{4,6},{5,8}}=>{{1,3},{2,7},{4,6},{5,8}} {{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}} {{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}} {{1,6},{2,7},{3,5},{4,8}}=>{{1,6},{2,7},{3,5},{4,8}} {{1,7},{2,6},{3,5},{4,8}}=>{{1,7},{2,6},{3,5},{4,8}} {{1,8},{2,6},{3,5},{4,7}}=>{{1,8},{2,6},{3,5},{4,7}} {{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}} {{1,7},{2,5},{3,6},{4,8}}=>{{1,7},{2,5},{3,6},{4,8}} {{1,6},{2,5},{3,7},{4,8}}=>{{1,6},{2,5},{3,7},{4,8}} {{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}} {{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}} {{1,3},{2,6},{4,7},{5,8}}=>{{1,3},{2,6},{4,7},{5,8}} {{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,6},{4,7},{5,8}} {{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,5},{4,7},{6,8}} {{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}} {{1,4},{2,5},{3,7},{6,8}}=>{{1,4},{2,5},{3,7},{6,8}} {{1,5},{2,4},{3,7},{6,8}}=>{{1,5},{2,4},{3,7},{6,8}} {{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}} {{1,7},{2,4},{3,6},{5,8}}=>{{1,7},{2,4},{3,6},{5,8}} {{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}} {{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,3},{4,6},{5,7}} {{1,7},{2,3},{4,6},{5,8}}=>{{1,7},{2,3},{4,6},{5,8}} {{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}} {{1,5},{2,3},{4,7},{6,8}}=>{{1,5},{2,3},{4,7},{6,8}} {{1,4},{2,3},{5,7},{6,8}}=>{{1,4},{2,3},{5,7},{6,8}} {{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}} {{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,7},{6,8}} {{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,8},{6,7}} {{1,3},{2,4},{5,8},{6,7}}=>{{1,3},{2,4},{5,8},{6,7}} {{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}} {{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}} {{1,6},{2,3},{4,8},{5,7}}=>{{1,6},{2,3},{4,8},{5,7}} {{1,7},{2,3},{4,8},{5,6}}=>{{1,7},{2,3},{4,8},{5,6}} {{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,3},{4,7},{5,6}} {{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,4},{3,7},{5,6}} {{1,7},{2,4},{3,8},{5,6}}=>{{1,7},{2,4},{3,8},{5,6}} {{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}} {{1,5},{2,4},{3,8},{6,7}}=>{{1,5},{2,4},{3,8},{6,7}} {{1,4},{2,5},{3,8},{6,7}}=>{{1,4},{2,5},{3,8},{6,7}} {{1,3},{2,5},{4,8},{6,7}}=>{{1,3},{2,5},{4,8},{6,7}} {{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,5},{4,8},{6,7}} {{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,6},{4,8},{5,7}} {{1,3},{2,6},{4,8},{5,7}}=>{{1,3},{2,6},{4,8},{5,7}} {{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,6},{3,8},{5,7}} {{1,5},{2,6},{3,8},{4,7}}=>{{1,5},{2,6},{3,8},{4,7}} {{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}} {{1,7},{2,5},{3,8},{4,6}}=>{{1,7},{2,5},{3,8},{4,6}} {{1,8},{2,5},{3,7},{4,6}}=>{{1,8},{2,5},{3,7},{4,6}} {{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}} {{1,7},{2,6},{3,8},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}} {{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}} {{1,5},{2,7},{3,8},{4,6}}=>{{1,5},{2,7},{3,8},{4,6}} {{1,4},{2,7},{3,8},{5,6}}=>{{1,4},{2,7},{3,8},{5,6}} {{1,3},{2,7},{4,8},{5,6}}=>{{1,3},{2,7},{4,8},{5,6}} {{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,7},{4,8},{5,6}} {{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,8},{4,7},{5,6}} {{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,8},{4,7},{5,6}} {{1,4},{2,8},{3,7},{5,6}}=>{{1,4},{2,8},{3,7},{5,6}} {{1,5},{2,8},{3,7},{4,6}}=>{{1,5},{2,8},{3,7},{4,6}} {{1,6},{2,8},{3,7},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}} {{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}} {{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}} {{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}} {{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}} {{1},{2},{3},{4},{5},{6,8},{7}}=>{{1},{2},{3},{4},{5},{6,8},{7}} {{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}} {{1},{2},{3},{4},{5,8},{6},{7}}=>{{1},{2},{3},{4},{5,8},{6},{7}} {{1},{2},{3},{4},{5,8},{6,7}}=>{{1},{2},{3},{4},{5,8},{6,7}} {{1},{2},{3},{4},{5,6,8},{7}}=>{{1},{2},{3},{4},{5,6,8},{7}} {{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}} {{1},{2},{3},{4,8},{5},{6},{7}}=>{{1},{2},{3},{4,8},{5},{6},{7}} {{1},{2},{3},{4,8},{5,6},{7}}=>{{1},{2},{3},{4,8},{5,6},{7}} {{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}} {{1},{2},{3},{4,8},{5,6,7}}=>{{1},{2},{3},{4,8},{5,6,7}} {{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}} {{1},{2},{3,8},{4},{5},{6},{7}}=>{{1},{2},{3,8},{4},{5},{6},{7}} {{1},{2},{3,8},{4,5},{6},{7}}=>{{1},{2},{3,8},{4,5},{6},{7}} {{1},{2},{3,8},{4,6},{5},{7}}=>{{1},{2},{3,8},{4,6},{5},{7}} {{1},{2},{3,8},{4,5,6},{7}}=>{{1},{2},{3,8},{4,5,6},{7}} {{1},{2},{3,4,8},{5,6,7}}=>{{1},{2},{3,4,8},{5,6,7}} {{1},{2,3},{4,7,8},{5,6}}=>{{1},{2,3},{4,7,8},{5,6}} {{1},{2,3},{4,5,6,8},{7}}=>{{1},{2,3},{4,5,6,8},{7}} {{1},{2,8},{3},{4},{5},{6},{7}}=>{{1},{2,8},{3},{4},{5},{6},{7}} {{1},{2,4,6,8},{3},{5},{7}}=>{{1},{2,4,6,8},{3},{5},{7}} {{1},{2,4,8},{3},{5,7},{6}}=>{{1},{2,4,8},{3},{5,7},{6}} {{1},{2,4,5,8},{3},{6,7}}=>{{1},{2,4,5,8},{3},{6,7}} {{1},{2,8},{3,4},{5},{6},{7}}=>{{1},{2,8},{3,4},{5},{6},{7}} {{1},{2,8},{3,4},{5,6,7}}=>{{1},{2,8},{3,4},{5,6,7}} {{1},{2,5,8},{3,4},{6,7}}=>{{1},{2,5,8},{3,4},{6,7}} {{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}} {{1},{2,8},{3,5},{4},{6},{7}}=>{{1},{2,8},{3,5},{4},{6},{7}} {{1},{2,6,8},{3,5},{4},{7}}=>{{1},{2,6,8},{3,5},{4},{7}} {{1},{2,8},{3,5,7},{4},{6}}=>{{1},{2,8},{3,5,7},{4},{6}} {{1},{2,8},{3,4,5},{6},{7}}=>{{1},{2,8},{3,4,5},{6},{7}} {{1},{2,8},{3,4,5},{6,7}}=>{{1},{2,8},{3,4,5},{6,7}} {{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,8},{3,7},{4,6},{5}} {{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}} {{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}} {{1},{2,3,8},{4,5,7},{6}}=>{{1},{2,3,8},{4,5,7},{6}} {{1},{2,3,4,5,8},{6},{7}}=>{{1},{2,3,4,5,8},{6},{7}} {{1},{2,3,4,5,7,8},{6}}=>{{1},{2,3,4,5,7,8},{6}} {{1},{2,3,4,8},{5,6,7}}=>{{1},{2,3,4,8},{5,6,7}} {{1},{2,3,4,5,8},{6,7}}=>{{1},{2,3,4,5,8},{6,7}} {{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}} {{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}} {{1,2},{3},{4,6,7,8},{5}}=>{{1,2},{3},{4,6,7,8},{5}} {{1,2},{3,4},{5,7,8},{6}}=>{{1,2},{3,4},{5,7,8},{6}} {{1,2},{3,4},{5,6,8},{7}}=>{{1,2},{3,4},{5,6,8},{7}} {{1,2},{3,4},{5,6,7,8}}=>{{1,2},{3,4},{5,6,7,8}} {{1,2},{3,6,7,8},{4},{5}}=>{{1,2},{3,6,7,8},{4},{5}} {{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}} {{1,2},{3,7,8},{4},{5,6}}=>{{1,2},{3,7,8},{4},{5,6}} {{1,2},{3,5,7,8},{4},{6}}=>{{1,2},{3,5,7,8},{4},{6}} {{1,2},{3,5,8},{4},{6,7}}=>{{1,2},{3,5,8},{4},{6,7}} {{1,2},{3,5,6,8},{4},{7}}=>{{1,2},{3,5,6,8},{4},{7}} {{1,2},{3,7,8},{4,5},{6}}=>{{1,2},{3,7,8},{4,5},{6}} {{1,2},{3,6,8},{4,5},{7}}=>{{1,2},{3,6,8},{4,5},{7}} {{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}} {{1,2},{3,7,8},{4,6},{5}}=>{{1,2},{3,7,8},{4,6},{5}} {{1,2},{3,8},{4,6,7},{5}}=>{{1,2},{3,8},{4,6,7},{5}} {{1,2},{3,4,8},{5},{6,7}}=>{{1,2},{3,4,8},{5},{6,7}} {{1,2},{3,4,6,8},{5},{7}}=>{{1,2},{3,4,6,8},{5},{7}} {{1,2},{3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6},{7,8}} {{1,2},{3,4,8},{5,6},{7}}=>{{1,2},{3,4,8},{5,6},{7}} {{1,2},{3,8},{4,5,7},{6}}=>{{1,2},{3,8},{4,5,7},{6}} {{1,2},{3,4,8},{5,7},{6}}=>{{1,2},{3,4,8},{5,7},{6}} {{1,2},{3,4,5,8},{6},{7}}=>{{1,2},{3,4,5,8},{6},{7}} {{1,2},{3,4,5,6,7,8}}=>{{1,2},{3,4,5,6,7,8}} {{1,3},{2},{4,6,8},{5},{7}}=>{{1,2,3},{4,6,8},{5},{7}} {{1,3},{2},{4,7,8},{5,6}}=>{{1,2,3},{4,7,8},{5,6}} {{1,3},{2},{4,8},{5,7},{6}}=>{{1,2,3},{4,8},{5,7},{6}} {{1,3},{2},{4,5,6,8},{7}}=>{{1,2,3},{4,5,6,8},{7}} {{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,2,3,4,5,6,7,8}} {{1,5,6,7,8},{2},{3},{4}}=>{{1,2,3,4,6,7,8},{5}} {{1,6,7,8},{2},{3},{4,5}}=>{{1,2,3,6,7,8},{4,5}} {{1,4,5,6},{2},{3},{7,8}}=>{{1,2,3,5,6},{4},{7,8}} {{1,4,7,8},{2},{3},{5,6}}=>{{1,2,3,7,8},{4},{5,6}} {{1,4,5,8},{2},{3},{6,7}}=>{{1,2,3,5,8},{4},{6,7}} {{1,3,4},{2},{5,6},{7,8}}=>{{1,2,4},{3},{5,6},{7,8}} {{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,7,8},{6}} {{1,3,4},{2},{5,8},{6,7}}=>{{1,2,4},{3},{5,8},{6,7}} {{1,5,6},{2},{3,4},{7,8}}=>{{1,2,5,6},{3,4},{7,8}} {{1,7,8},{2},{3,4},{5,6}}=>{{1,2,7,8},{3,4},{5,6}} {{1,5,8},{2},{3,4},{6,7}}=>{{1,2,5,8},{3,4},{6,7}} {{1,3,5},{2},{4},{6,8},{7}}=>{{1,2,5},{3},{4},{6,8},{7}} {{1,3,5},{2},{4},{6,7,8}}=>{{1,2,5},{3},{4},{6,7,8}} {{1,6,7,8},{2},{3,5},{4}}=>{{1,2,4,6,7,8},{3,5}} {{1,3,5,6},{2},{4},{7,8}}=>{{1,2,5,6},{3},{4},{7,8}} {{1,7,8},{2},{3,5,6},{4}}=>{{1,2,4,7,8},{3,5,6}} {{1,3,5,7},{2},{4},{6},{8}}=>{{1,2,5,7},{3},{4},{6},{8}} {{1,3,5,7,8},{2},{4},{6}}=>{{1,2,5,7,8},{3},{4},{6}} {{1,3,5,8},{2},{4},{6,7}}=>{{1,2,5,8},{3},{4},{6,7}} {{1,3,4,5},{2},{6,7},{8}}=>{{1,2,4,5},{3},{6,7},{8}} {{1,3,4,5},{2},{6,8},{7}}=>{{1,2,4,5},{3},{6,8},{7}} {{1,3,6},{2},{4,5},{7,8}}=>{{1,2,6},{3},{4,5},{7,8}} {{1,7,8},{2},{3,6},{4,5}}=>{{1,2,7,8},{3,6},{4,5}} {{1,3,7,8},{2},{4,5},{6}}=>{{1,2,7,8},{3},{4,5},{6}} {{1,3,8},{2},{4,5},{6,7}}=>{{1,2,8},{3},{4,5},{6,7}} {{1,3,4,6},{2},{5},{7,8}}=>{{1,2,4,6},{3},{5},{7,8}} {{1,3,7},{2},{4,6},{5},{8}}=>{{1,2,7},{3},{4,6},{5},{8}} {{1,3,7,8},{2},{4,6},{5}}=>{{1,2,7,8},{3},{4,6},{5}} {{1,3,8},{2},{4,6,7},{5}}=>{{1,2,8},{3},{4,6,7},{5}} {{1,8},{2},{3,4,5,6},{7}}=>{{1,2,8},{3,4,5,6},{7}} {{1,3,8},{2},{4,7},{5,6}}=>{{1,2,8},{3},{4,7},{5,6}} {{1,2,3},{4,6,7},{5},{8}}=>{{1,3},{2},{4,6,7},{5},{8}} {{1,2,3},{4,6,8},{5},{7}}=>{{1,3},{2},{4,6,8},{5},{7}} {{1,4},{2,3},{5,7,8},{6}}=>{{1,4},{2,3},{5,7,8},{6}} {{1,4},{2,3},{5,6,8},{7}}=>{{1,4},{2,3},{5,6,8},{7}} {{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2,3},{4},{5},{6},{7}} {{1,5,6},{2,3},{4},{7,8}}=>{{1,5,6},{2,3},{4},{7,8}} {{1,5,7,8},{2,3},{4},{6}}=>{{1,5,7,8},{2,3},{4},{6}} {{1,8},{2,3},{4},{5,6,7}}=>{{1,8},{2,3},{4},{5,6,7}} {{1,5,8},{2,3},{4},{6,7}}=>{{1,5,8},{2,3},{4},{6,7}} {{1,7,8},{2,3},{4,5},{6}}=>{{1,7,8},{2,3},{4,5},{6}} {{1,6,8},{2,3},{4,5},{7}}=>{{1,6,8},{2,3},{4,5},{7}} {{1,4,6},{2,3},{5},{7,8}}=>{{1,4,6},{2,3},{5},{7,8}} {{1,7,8},{2,3},{4,6},{5}}=>{{1,7,8},{2,3},{4,6},{5}} {{1,8},{2,3},{4,6,7},{5}}=>{{1,8},{2,3},{4,6,7},{5}} {{1,4,8},{2,3},{5},{6,7}}=>{{1,4,8},{2,3},{5},{6,7}} {{1,4,6,8},{2,3},{5},{7}}=>{{1,4,6,8},{2,3},{5},{7}} {{1,4,8},{2,3},{5,6},{7}}=>{{1,4,8},{2,3},{5,6},{7}} {{1,8},{2,3},{4,5,7},{6}}=>{{1,8},{2,3},{4,5,7},{6}} {{1,4,8},{2,3},{5,7},{6}}=>{{1,4,8},{2,3},{5,7},{6}} {{1,4,5,8},{2,3},{6},{7}}=>{{1,4,5,8},{2,3},{6},{7}} {{1,2,4},{3},{5,6},{7,8}}=>{{1,3,4},{2},{5,6},{7,8}} {{1,2,4},{3},{5,8},{6,7}}=>{{1,3,4},{2},{5,8},{6,7}} {{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,8},{7}} {{1,5},{2,4},{3},{6,8},{7}}=>{{1,3,5},{2,4},{6,8},{7}} {{1,8},{2,4},{3},{5},{6},{7}}=>{{1,3,8},{2,4},{5},{6},{7}} {{1,5,6},{2,4},{3},{7,8}}=>{{1,3,5,6},{2,4},{7,8}} {{1,7,8},{2,4},{3},{5,6}}=>{{1,3,7,8},{2,4},{5,6}} {{1,5,7},{2,4},{3},{6},{8}}=>{{1,3,5,7},{2,4},{6},{8}} {{1,5,7,8},{2,4},{3},{6}}=>{{1,3,5,7,8},{2,4},{6}} {{1,5,8},{2,4},{3},{6,7}}=>{{1,3,5,8},{2,4},{6,7}} {{1,6,7,8},{2,5},{3},{4}}=>{{1,3,4,6,7,8},{2,5}} {{1,7,8},{2,5,6},{3},{4}}=>{{1,3,4,7,8},{2,5,6}} {{1,8},{2,5,6,7},{3},{4}}=>{{1,3,4,8},{2,5,6,7}} {{1,6},{2,4,5},{3},{7,8}}=>{{1,3,6},{2,4,5},{7,8}} {{1,7,8},{2,4,5},{3},{6}}=>{{1,3,7,8},{2,4,5},{6}} {{1,8},{2,4,5},{3},{6,7}}=>{{1,3,8},{2,4,5},{6,7}} {{1,2,6},{3},{4,5},{7,8}}=>{{1,3,6},{2},{4,5},{7,8}} {{1,7,8},{2,6},{3},{4,5}}=>{{1,3,7,8},{2,6},{4,5}} {{1,8},{2,6,7},{3},{4,5}}=>{{1,3,8},{2,6,7},{4,5}} {{1,2,8},{3},{4,5},{6,7}}=>{{1,3,8},{2},{4,5},{6,7}} {{1,2,6,8},{3},{4,5},{7}}=>{{1,3,6,8},{2},{4,5},{7}} {{1,2,4,6},{3},{5},{7,8}}=>{{1,3,4,6},{2},{5},{7,8}} {{1,7},{2,4,6},{3},{5},{8}}=>{{1,3,5,7},{2,4,6},{8}} {{1,7,8},{2,4,6},{3},{5}}=>{{1,3,5,7,8},{2,4,6}} {{1,8},{2,4,6,7},{3},{5}}=>{{1,3,5,8},{2,4,6,7}} {{1,2,4,8},{3},{5},{6,7}}=>{{1,3,4,8},{2},{5},{6,7}} {{1,2,4,6,8},{3},{5},{7}}=>{{1,3,4,6,8},{2},{5},{7}} {{1,8},{2,4,7},{3},{5,6}}=>{{1,3,8},{2,4,7},{5,6}} {{1,2,8},{3},{4,7},{5,6}}=>{{1,3,8},{2},{4,7},{5,6}} {{1,2,8},{3},{4,5,7},{6}}=>{{1,3,8},{2},{4,5,7},{6}} {{1,2,4,8},{3},{5,7},{6}}=>{{1,3,4,8},{2},{5,7},{6}} {{1,2,3,4},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}} {{1,2,3,4},{5,6,7,8}}=>{{1,4},{2},{3},{5,6,7,8}} {{1,8},{2,3,4},{5},{6},{7}}=>{{1,8},{2,3,4},{5},{6},{7}} {{1,8},{2,3,4},{5},{6,7}}=>{{1,8},{2,3,4},{5},{6,7}} {{1,6,8},{2,3,4},{5},{7}}=>{{1,6,8},{2,3,4},{5},{7}} {{1,7},{2,3,4},{5,6},{8}}=>{{1,7},{2,3,4},{5,6},{8}} {{1,7,8},{2,5},{3,4},{6}}=>{{1,7,8},{2,5},{3,4},{6}} {{1,6,8},{2,5},{3,4},{7}}=>{{1,6,8},{2,5},{3,4},{7}} {{1,2,6},{3,4},{5},{7,8}}=>{{1,6},{2},{3,4},{5},{7,8}} {{1,7,8},{2,6},{3,4},{5}}=>{{1,7,8},{2,6},{3,4},{5}} {{1,8},{2,6,7},{3,4},{5}}=>{{1,8},{2,6,7},{3,4},{5}} {{1,2,8},{3,4},{5,6},{7}}=>{{1,8},{2},{3,4},{5,6},{7}} {{1,8},{2,5,7},{3,4},{6}}=>{{1,8},{2,5,7},{3,4},{6}} {{1,2,8},{3,4},{5,7},{6}}=>{{1,8},{2},{3,4},{5,7},{6}} {{1,2,5,8},{3,4},{6},{7}}=>{{1,5,8},{2},{3,4},{6},{7}} {{1,6},{2,3,5},{4},{7,8}}=>{{1,4,6},{2,3,5},{7,8}} {{1,8},{2,3,5},{4},{6,7}}=>{{1,4,8},{2,3,5},{6,7}} {{1,6,8},{2,3,5},{4},{7}}=>{{1,4,6,8},{2,3,5},{7}} {{1,2,6},{3,5},{4},{7,8}}=>{{1,4,6},{2},{3,5},{7,8}} {{1,7},{2,6},{3,5},{4},{8}}=>{{1,4,7},{2,6},{3,5},{8}} {{1,7,8},{2,6},{3,5},{4}}=>{{1,4,7,8},{2,6},{3,5}} {{1,8},{2,6,7},{3,5},{4}}=>{{1,4,8},{2,6,7},{3,5}} {{1,2,8},{3,5},{4},{6,7}}=>{{1,4,8},{2},{3,5},{6,7}} {{1,2,6,8},{3,5},{4},{7}}=>{{1,4,6,8},{2},{3,5},{7}} {{1,2,3,6},{4},{5},{7,8}}=>{{1,4,6},{2},{3},{5},{7,8}} {{1,8},{2,7},{3,5,6},{4}}=>{{1,4,8},{2,7},{3,5,6}} {{1,2,8},{3,5,6},{4},{7}}=>{{1,4,8},{2},{3,5,6},{7}} {{1,8},{2,3,7},{4},{5,6}}=>{{1,4,8},{2,3,7},{5,6}} {{1,2,8},{3,7},{4},{5,6}}=>{{1,4,8},{2},{3,7},{5,6}} {{1,8},{2,3,5,7},{4},{6}}=>{{1,4,6,8},{2,3,5,7}} {{1,2,8},{3,5,7},{4},{6}}=>{{1,4,8},{2},{3,5,7},{6}} {{1,2,3,5,6,7},{4},{8}}=>{{1,4,5,6,7},{2},{3},{8}} {{1,8},{2,3,6},{4,5},{7}}=>{{1,8},{2,3,6},{4,5},{7}} {{1,2,8},{3,6},{4,5},{7}}=>{{1,8},{2},{3,6},{4,5},{7}} {{1,8},{2,3,7},{4,5},{6}}=>{{1,8},{2,3,7},{4,5},{6}} {{1,2,8},{3,7},{4,5},{6}}=>{{1,8},{2},{3,7},{4,5},{6}} {{1,2,3,8},{4,5},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}} {{1,8},{2,7},{3,4,6},{5}}=>{{1,5,8},{2,7},{3,4,6}} {{1,2,8},{3,4,6},{5},{7}}=>{{1,5,8},{2},{3,4,6},{7}} {{1,8},{2,3,7},{4,6},{5}}=>{{1,5,8},{2,3,7},{4,6}} {{1,2,8},{3,7},{4,6},{5}}=>{{1,5,8},{2},{3,7},{4,6}} {{1,2,3,8},{4,6},{5},{7}}=>{{1,5,8},{2},{3},{4,6},{7}} {{1,2,3,4,7},{5},{6},{8}}=>{{1,5,7},{2},{3},{4},{6},{8}} {{1,8},{2,3,4,7},{5},{6}}=>{{1,5,6,8},{2,3,4,7}} {{1,2,8},{3,4,7},{5},{6}}=>{{1,5,8},{2},{3,4,7},{6}} {{1,2,3,8},{4,7},{5},{6}}=>{{1,5,8},{2},{3},{4,7},{6}} {{1,2,3,4,8},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6},{7}} {{1,2,3,4,6,7},{5},{8}}=>{{1,5,6,7},{2},{3},{4},{8}} {{1,2,3,4,5,6},{7,8}}=>{{1,6},{2},{3},{4},{5},{7,8}} {{1,2,3,7},{4,5,6},{8}}=>{{1,7},{2},{3},{4,5,6},{8}} {{1,2,3,4,7},{5,6},{8}}=>{{1,7},{2},{3},{4},{5,6},{8}} {{1,2,3,4,5,7},{6},{8}}=>{{1,6,7},{2},{3},{4},{5},{8}} {{1,2,3,4,5,6,7},{8}}=>{{1,7},{2},{3},{4},{5},{6},{8}} {{1,2,3,4,5,6,7,8}}=>{{1,8},{2},{3},{4},{5},{6},{7}} {{1,3,4,6,7,8},{2,5}}=>{{1,6,7,8},{2,5},{3},{4}} {{1,3,4,5,7,8},{2,6}}=>{{1,7,8},{2,6},{3},{4},{5}} {{1,2,4,5,6,8},{3,7}}=>{{1,8},{2},{3,7},{4},{5},{6}} {{1,2,3,5,6,8},{4,7}}=>{{1,8},{2},{3},{4,7},{5},{6}} {{1,2,3,5,6,7},{4,8}}=>{{1,7},{2},{3},{4,8},{5},{6}} {{1,2,3,4,6,7},{5,8}}=>{{1,7},{2},{3},{4},{5,8},{6}} {{1,2,3,4,5,7},{6,8}}=>{{1,7},{2},{3},{4},{5},{6,8}} {{1,3,5,7},{2,4,6,8}}=>{{1,7},{2,4,6,8},{3},{5}} {{1,3,4,7},{2,5,6,8}}=>{{1,7},{2,5,6,8},{3},{4}} {{1,2,5,6},{3,4,7,8}}=>{{1,6},{2},{3,4,7,8},{5}} {{1,2,4,6},{3,5,7,8}}=>{{1,6},{2},{3,5,7,8},{4}} {{1,2,3,6},{4,5,7,8}}=>{{1,6},{2},{3},{4,5,7,8}} {{1,2,4,5},{3,6,7,8}}=>{{1,5},{2},{3,6,7,8},{4}} {{1,2,3,5},{4,6,7,8}}=>{{1,5},{2},{3},{4,6,7,8}} {{1,4,5,8},{2,6},{3,7}}=>{{1,8},{2,6},{3,7},{4},{5}} {{1,3,5,7},{2,6},{4,8}}=>{{1,7},{2,6},{3},{4,8},{5}} {{1,3,4,7},{2,6},{5,8}}=>{{1,7},{2,6},{3},{4},{5,8}} {{1,3,4,7},{2,5},{6,8}}=>{{1,7},{2,5},{3},{4},{6,8}} {{1,2,5,6},{3,7},{4,8}}=>{{1,6},{2},{3,7},{4,8},{5}} {{1,2,4,6},{3,7},{5,8}}=>{{1,6},{2},{3,7},{4},{5,8}} {{1,2,3,6},{4,7},{5,8}}=>{{1,6},{2},{3},{4,7},{5,8}} {{1,2,4,5},{3,7},{6,8}}=>{{1,5},{2},{3,7},{4},{6,8}} {{1,2,3,5},{4,7},{6,8}}=>{{1,5},{2},{3},{4,7},{6,8}} {{1,2,3,4},{5,7},{6,8}}=>{{1,4},{2},{3},{5,7},{6,8}} {{1,3,4,6},{2,5},{7,8}}=>{{1,6},{2,5},{3},{4},{7,8}} {{1,2,4,5},{3,6},{7,8}}=>{{1,5},{2},{3,6},{4},{7,8}} {{1,2,3,5},{4,6},{7,8}}=>{{1,5},{2},{3},{4,6},{7,8}} {{1,5,7,8},{2,6},{3},{4}}=>{{1,3,4,7,8},{2,6},{5}} {{1,3,7,8},{2,5},{4},{6}}=>{{1,4,7,8},{2,5},{3},{6}} {{1,5,6,8},{2,7},{3},{4}}=>{{1,3,4,6,8},{2,7},{5}} {{1,3,4,8},{2,7},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}} {{1,2,4,8},{3,7},{5},{6}}=>{{1,5,8},{2},{3,7},{4},{6}} {{1,3,6,8},{2,4},{5},{7}}=>{{1,6,8},{2,4},{3},{5},{7}} {{1,3,5,8},{2,6},{4},{7}}=>{{1,4,5,8},{2,6},{3},{7}} {{1,2,5,8},{3,6},{4},{7}}=>{{1,4,5,8},{2},{3,6},{7}} {{1,3,4,8},{2,6},{5},{7}}=>{{1,5,8},{2,6},{3},{4},{7}} {{1,2,4,8},{3,6},{5},{7}}=>{{1,5,8},{2},{3,6},{4},{7}} {{1,4,6,7},{2,8},{3},{5}}=>{{1,3,6,7},{2,8},{4},{5}} {{1,3,6,7},{2,8},{4},{5}}=>{{1,4,6,7},{2,8},{3},{5}} {{1,2,6,7},{3,8},{4},{5}}=>{{1,4,6,7},{2},{3,8},{5}} {{1,4,5,7},{2,8},{3},{6}}=>{{1,3,5,7},{2,8},{4},{6}} {{1,3,5,7},{2,8},{4},{6}}=>{{1,4,5,7},{2,8},{3},{6}} {{1,2,5,7},{3,8},{4},{6}}=>{{1,4,5,7},{2},{3,8},{6}} {{1,3,4,7},{2,8},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}} {{1,2,4,7},{3,8},{5},{6}}=>{{1,5,7},{2},{3,8},{4},{6}} {{1,2,5,6},{3,8},{4},{7}}=>{{1,4,5,6},{2},{3,8},{7}} {{1,3,5,7},{2,6},{4},{8}}=>{{1,4,5,7},{2,6},{3},{8}} {{1,3,5,7},{2,4},{6},{8}}=>{{1,5,7},{2,4},{3},{6},{8}} {{1,5,7},{2,6,8},{3},{4}}=>{{1,3,4,7},{2,6,8},{5}} {{1,4,7},{2,6,8},{3},{5}}=>{{1,3,7},{2,6,8},{4},{5}} {{1,2,7},{3,6,8},{4},{5}}=>{{1,4,7},{2},{3,6,8},{5}} {{1,3,7},{2,5,8},{4},{6}}=>{{1,4,7},{2,5,8},{3},{6}} {{1,2,7},{3,5,8},{4},{6}}=>{{1,4,7},{2},{3,5,8},{6}} {{1,3,7},{2,4,8},{5},{6}}=>{{1,5,7},{2,4,8},{3},{6}} {{1,4,6},{2,7,8},{3},{5}}=>{{1,3,6},{2,7,8},{4},{5}} {{1,3,6},{2,7,8},{4},{5}}=>{{1,4,6},{2,7,8},{3},{5}} {{1,2,4},{3,7,8},{5},{6}}=>{{1,4},{2},{3,7,8},{5},{6}} {{1,2,6},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,5,8},{7}} {{1,3,6},{2,4,8},{5},{7}}=>{{1,5,6},{2,4,8},{3},{7}} {{1,4,5},{2,6,8},{3},{7}}=>{{1,3,5},{2,6,8},{4},{7}} {{1,3,5},{2,6,8},{4},{7}}=>{{1,4,5},{2,6,8},{3},{7}} {{1,3,4},{2,6,8},{5},{7}}=>{{1,4},{2,6,8},{3},{5},{7}} {{1,2,4},{3,6,8},{5},{7}}=>{{1,4},{2},{3,6,8},{5},{7}} {{1,5,8},{2,6},{3,7},{4}}=>{{1,4,8},{2,6},{3,7},{5}} {{1,4,8},{2,6},{3,7},{5}}=>{{1,5,8},{2,6},{3,7},{4}} {{1,3,8},{2,6},{4,7},{5}}=>{{1,5,8},{2,6},{3},{4,7}} {{1,2,8},{3,6},{4,7},{5}}=>{{1,5,8},{2},{3,6},{4,7}} {{1,4,8},{2,5},{3,7},{6}}=>{{1,8},{2,5},{3,7},{4},{6}} {{1,3,8},{2,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}} {{1,2,8},{3,5},{4,7},{6}}=>{{1,8},{2},{3,5},{4,7},{6}} {{1,4,8},{2,5},{3,6},{7}}=>{{1,8},{2,5},{3,6},{4},{7}} {{1,5,7},{2,6},{3,8},{4}}=>{{1,4,7},{2,6},{3,8},{5}} {{1,4,7},{2,6},{3,8},{5}}=>{{1,5,7},{2,6},{3,8},{4}} {{1,3,7},{2,6},{4,8},{5}}=>{{1,5,7},{2,6},{3},{4,8}} {{1,2,7},{3,6},{4,8},{5}}=>{{1,5,7},{2},{3,6},{4,8}} {{1,4,7},{2,5},{3,8},{6}}=>{{1,7},{2,5},{3,8},{4},{6}} {{1,3,7},{2,5},{4,8},{6}}=>{{1,7},{2,5},{3},{4,8},{6}} {{1,2,7},{3,5},{4,8},{6}}=>{{1,7},{2},{3,5},{4,8},{6}} {{1,5,6},{2,7},{3,8},{4}}=>{{1,4,6},{2,7},{3,8},{5}} {{1,4,6},{2,7},{3,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}} {{1,3,6},{2,7},{4,8},{5}}=>{{1,5,6},{2,7},{3},{4,8}} {{1,2,6},{3,7},{4,8},{5}}=>{{1,5,6},{2},{3,7},{4,8}} {{1,3,5},{2,7},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}} {{1,2,5},{3,7},{4,8},{6}}=>{{1,5},{2},{3,7},{4,8},{6}} {{1,3,4},{2,7},{5,8},{6}}=>{{1,4},{2,7},{3},{5,8},{6}} {{1,2,4},{3,7},{5,8},{6}}=>{{1,4},{2},{3,7},{5,8},{6}} {{1,3,6},{2,5},{4,8},{7}}=>{{1,6},{2,5},{3},{4,8},{7}} {{1,2,6},{3,5},{4,8},{7}}=>{{1,6},{2},{3,5},{4,8},{7}} {{1,3,5},{2,6},{4,8},{7}}=>{{1,5},{2,6},{3},{4,8},{7}} {{1,2,5},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,8},{7}} {{1,3,4},{2,6},{5,8},{7}}=>{{1,4},{2,6},{3},{5,8},{7}} {{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}} {{1,3,5},{2,4},{6,8},{7}}=>{{1,5},{2,4},{3},{6,8},{7}} {{1,4,7},{2,5},{3,6},{8}}=>{{1,7},{2,5},{3,6},{4},{8}} {{1,3,7},{2,5},{4,6},{8}}=>{{1,7},{2,5},{3},{4,6},{8}} {{1,3,4},{2,6},{5,7},{8}}=>{{1,4},{2,6},{3},{5,7},{8}} {{1,2,4},{3,6},{5,7},{8}}=>{{1,4},{2},{3,6},{5,7},{8}} {{1,3,5,8},{2},{4,6},{7}}=>{{1,2,5,8},{3},{4,6},{7}} {{1,3,5,7},{2},{4},{6,8}}=>{{1,2,5,7},{3},{4},{6,8}} {{1,5,7},{2,4},{3},{6,8}}=>{{1,3,5,7},{2,4},{6,8}} {{1,5},{2,4,8},{3},{6,7}}=>{{1,3,5},{2,4,8},{6,7}} {{1,5,8},{2,4},{3,6},{7}}=>{{1,5,8},{2,4},{3,6},{7}} {{1,6,8},{2,4},{3,5},{7}}=>{{1,6,8},{2,4},{3,5},{7}} {{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,5,8},{4,6},{7}} {{1,5,8},{2,6},{3,4},{7}}=>{{1,5,8},{2,6},{3,4},{7}} {{1,4,8},{2,6},{3,5},{7}}=>{{1,8},{2,6},{3,5},{4},{7}} {{1,4},{2,5,8},{3},{6,7}}=>{{1,3,4},{2,5,8},{6,7}} {{1,4,7},{2,5},{3},{6,8}}=>{{1,3,7},{2,5},{4},{6,8}} {{1,4},{2},{3,6,7},{5,8}}=>{{1,2,4},{3,6,7},{5,8}} {{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7,8}} {{1,4},{2},{3,7},{5,6,8}}=>{{1,2,4},{3,7},{5,6,8}} {{1,4},{2},{3,5,8},{6,7}}=>{{1,2,4},{3,5,8},{6,7}} {{1,5},{2},{3,4,8},{6,7}}=>{{1,2,5},{3,4,8},{6,7}} {{1,2,5},{3},{4,7,8},{6}}=>{{1,3,5},{2},{4,7,8},{6}} {{1,2,5,7},{3},{4,8},{6}}=>{{1,3,5,7},{2},{4,8},{6}} {{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,7},{4},{6,8}} {{1,5,7},{2},{3,4},{6,8}}=>{{1,2,5,7},{3,4},{6,8}} {{1,4,7},{2},{3,5},{6,8}}=>{{1,2,7},{3,5},{4},{6,8}} {{1,4},{2},{3,8},{5,6,7}}=>{{1,2,4},{3,8},{5,6,7}} {{1,4,6},{2},{3,8},{5,7}}=>{{1,2,6},{3,8},{4},{5,7}} {{1,4,6},{2},{3,7},{5,8}}=>{{1,2,6},{3,7},{4},{5,8}} {{1},{2,6},{3,4,7},{5,8}}=>{{1},{2,6},{3,4,7},{5,8}} {{1,6},{2,3,7},{4},{5,8}}=>{{1,4,6},{2,3,7},{5,8}} {{1,2},{3,6,7},{4,8},{5}}=>{{1,2},{3,6,7},{4,8},{5}} {{1,2},{3,6},{4,7,8},{5}}=>{{1,2},{3,6},{4,7,8},{5}} {{1,6},{2,3},{4},{5,7,8}}=>{{1,6},{2,3},{4},{5,7,8}} {{1},{2,6},{3,4},{5,7,8}}=>{{1},{2,6},{3,4},{5,7,8}} {{1},{2,7},{3,4},{5,6,8}}=>{{1},{2,7},{3,4},{5,6,8}} {{1,7},{2,3},{4},{5,6,8}}=>{{1,7},{2,3},{4},{5,6,8}} {{1,2},{3,7},{4,6,8},{5}}=>{{1,2},{3,7},{4,6,8},{5}} {{1,2},{3,5,8},{4,7},{6}}=>{{1,2},{3,5,8},{4,7},{6}} {{1,7},{2,3,8},{4,5},{6}}=>{{1,7},{2,3,8},{4,5},{6}} {{1},{2,5},{3,4,8},{6,7}}=>{{1},{2,5},{3,4,8},{6,7}} {{1},{2,4},{3,5,8},{6,7}}=>{{1},{2,4},{3,5,8},{6,7}} {{1},{2,4},{3,7},{5,6,8}}=>{{1},{2,4},{3,7},{5,6,8}} {{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,4},{3,6},{5,7,8}} {{1},{2,4},{3,6,7},{5,8}}=>{{1},{2,4},{3,6,7},{5,8}} {{1,3},{2,6,7},{4},{5,8}}=>{{1,3},{2,6,7},{4},{5,8}} {{1,3},{2,6},{4},{5,7,8}}=>{{1,3},{2,6},{4},{5,7,8}} {{1,3},{2,7},{4},{5,6,8}}=>{{1,3},{2,7},{4},{5,6,8}} {{1,3},{2,7,8},{4,5},{6}}=>{{1,3},{2,7,8},{4,5},{6}} {{1,3,8},{2,4,7},{5},{6}}=>{{1,5,8},{2,4,7},{3},{6}} {{1,4,8},{2,3,7},{5},{6}}=>{{1,5,8},{2,3,7},{4},{6}} {{1,4,7},{2,3,8},{5},{6}}=>{{1,5,7},{2,3,8},{4},{6}} {{1,3,7},{2,8},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}} {{1,3},{2,8},{4},{5,6,7}}=>{{1,3},{2,8},{4},{5,6,7}} {{1,3,6},{2,8},{4},{5,7}}=>{{1,4,6},{2,8},{3},{5,7}} {{1,3,6},{2,7},{4},{5,8}}=>{{1,4,6},{2,7},{3},{5,8}} {{1},{2,4,6},{3,7},{5,8}}=>{{1},{2,4,6},{3,7},{5,8}} {{1},{2,4,6},{3,8},{5,7}}=>{{1},{2,4,6},{3,8},{5,7}} {{1},{2,4},{3,8},{5,6,7}}=>{{1},{2,4},{3,8},{5,6,7}} {{1},{2,4,7},{3,5},{6,8}}=>{{1},{2,4,7},{3,5},{6,8}} {{1},{2,5,7},{3,4},{6,8}}=>{{1},{2,5,7},{3,4},{6,8}} {{1},{2,8},{3,4,6},{5,7}}=>{{1},{2,8},{3,4,6},{5,7}} {{1,8},{2,3,6},{4},{5,7}}=>{{1,4,8},{2,3,6},{5,7}} {{1,2,6},{3,8},{4,7},{5}}=>{{1,5,6},{2},{3,8},{4,7}} {{1,7},{2,3,6},{4},{5,8}}=>{{1,4,7},{2,3,6},{5,8}} {{1},{2,7},{3,4,6},{5,8}}=>{{1},{2,7},{3,4,6},{5,8}} {{1,2},{3,6,8},{4,7},{5}}=>{{1,2},{3,6,8},{4,7},{5}} {{1,2},{3,5,7},{4,8},{6}}=>{{1,2},{3,5,7},{4,8},{6}} {{1,2},{3,7},{4,5,8},{6}}=>{{1,2},{3,7},{4,5,8},{6}} {{1,4,8},{2,7},{3},{5,6}}=>{{1,3,8},{2,7},{4},{5,6}} {{1,3,7},{2,8},{4},{5,6}}=>{{1,4,7},{2,8},{3},{5,6}} {{1,3,7},{2,8},{4,6},{5}}=>{{1,5,7},{2,8},{3},{4,6}} {{1,3,7},{2},{4,5,8},{6}}=>{{1,2,7},{3},{4,5,8},{6}} {{1,7},{2,3},{4,5,8},{6}}=>{{1,7},{2,3},{4,5,8},{6}} {{1,7},{2,3,8},{4,6},{5}}=>{{1,5,7},{2,3,8},{4,6}} {{1,7},{2,3,8},{4},{5,6}}=>{{1,4,7},{2,3,8},{5,6}} {{1,7,8},{2,5},{3,6},{4}}=>{{1,4,7,8},{2,5},{3,6}} {{1,7},{2,4,6,8},{3},{5}}=>{{1,3,5,7},{2,4,6,8}} {{1,7},{2,4,5},{3,8},{6}}=>{{1,7},{2,4,5},{3,8},{6}} {{1,4,6},{2,5},{3},{7,8}}=>{{1,3,6},{2,5},{4},{7,8}} {{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,7,8},{3,6},{5}} {{1,5,8},{2,7},{3,6},{4}}=>{{1,4,8},{2,7},{3,6},{5}} {{1,8},{2,5,7},{3,6},{4}}=>{{1,4,8},{2,5,7},{3,6}} {{1,5,8},{2,6,7},{3},{4}}=>{{1,3,4,8},{2,6,7},{5}} {{1,4,5,7},{2},{3,8},{6}}=>{{1,2,5,7},{3,8},{4},{6}} {{1,3,5},{2,6},{4},{7,8}}=>{{1,4,5},{2,6},{3},{7,8}} {{1,3,6},{2,8},{4,7},{5}}=>{{1,5,6},{2,8},{3},{4,7}} {{1,4,6,8},{2},{3,7},{5}}=>{{1,2,6,8},{3,7},{4},{5}} {{1,8},{2,4,6},{3,7},{5}}=>{{1,5,8},{2,4,6},{3,7}} {{1,4,8},{2,5},{3},{6,7}}=>{{1,3,8},{2,5},{4},{6,7}} {{1,3,5},{2,8},{4},{6,7}}=>{{1,4,5},{2,8},{3},{6,7}} {{1,5},{2,3,8},{4},{6,7}}=>{{1,4,5},{2,3,8},{6,7}} {{1,8},{2,6},{3,4,7},{5}}=>{{1,5,8},{2,6},{3,4,7}} {{1,6,8},{2},{3,4,7},{5}}=>{{1,2,5,8},{3,4,7},{6}} {{1,6,8},{2,4},{3,7},{5}}=>{{1,6,8},{2,4},{3,7},{5}} {{1,6},{2,3,8},{4,7},{5}}=>{{1,5,6},{2,3,8},{4,7}} {{1,6},{2,3,7,8},{4},{5}}=>{{1,4,5,6},{2,3,7,8}} {{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,3,7},{4,8},{6}} {{1,5},{2,3,6},{4},{7,8}}=>{{1,4,5},{2,3,6},{7,8}} {{1,5,7},{2,4},{3,8},{6}}=>{{1,5,7},{2,4},{3,8},{6}} {{1,6,7},{2,4,8},{3},{5}}=>{{1,3,5,7},{2,4,8},{6}} {{1,6,8},{2,5,7},{3},{4}}=>{{1,3,4,8},{2,5,7},{6}} {{1,6,8},{2,7},{3,5},{4}}=>{{1,4,6,8},{2,7},{3,5}} {{1,6,8},{2,7},{3},{4,5}}=>{{1,3,6,8},{2,7},{4,5}} {{1,6,7},{2,8},{3,4},{5}}=>{{1,6,7},{2,8},{3,4},{5}} {{1,5,7},{2},{3,4,8},{6}}=>{{1,2,7},{3,4,8},{5},{6}} {{1,7},{2,5},{3,4,8},{6}}=>{{1,7},{2,5},{3,4,8},{6}} {{1,7},{2,6,8},{3,4},{5}}=>{{1,7},{2,6,8},{3,4},{5}} {{1,4,8},{2,3,6},{5},{7}}=>{{1,5,8},{2,3,6},{4},{7}} {{1,5},{2,4,8},{3,7},{6}}=>{{1,5},{2,4,8},{3,7},{6}} {{1,5},{2,4,7},{3,8},{6}}=>{{1,5},{2,4,7},{3,8},{6}} {{1,5},{2,4,8},{3,6},{7}}=>{{1,5},{2,4,8},{3,6},{7}} {{1,6},{2,4,8},{3,5},{7}}=>{{1,6},{2,4,8},{3,5},{7}} {{1,6},{2,5},{3,4,8},{7}}=>{{1,6},{2,5},{3,4,8},{7}} {{1,6},{2,3,5},{4,8},{7}}=>{{1,6},{2,3,5},{4,8},{7}} {{1,5},{2,3,6},{4,8},{7}}=>{{1,5},{2,3,6},{4,8},{7}} {{1,5},{2,6},{3,4,8},{7}}=>{{1,5},{2,6},{3,4,8},{7}} {{1,4,8},{2,7},{3,6},{5}}=>{{1,5,8},{2,7},{3,6},{4}} {{1,4,7},{2,8},{3,6},{5}}=>{{1,5,7},{2,8},{3,6},{4}} {{1,4,6},{2,8},{3,7},{5}}=>{{1,5,6},{2,8},{3,7},{4}} {{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,8},{3,5},{4},{6}} {{1,5},{2,8},{3,4,7},{6}}=>{{1,5},{2,8},{3,4,7},{6}} {{1,5},{2,3,8},{4,7},{6}}=>{{1,5},{2,3,8},{4,7},{6}} {{1,2,5},{3,8},{4,7},{6}}=>{{1,5},{2},{3,8},{4,7},{6}} {{1,5},{2,7},{3,4,8},{6}}=>{{1,5},{2,7},{3,4,8},{6}} {{1,4,8},{2,7},{3,5},{6}}=>{{1,8},{2,7},{3,5},{4},{6}} {{1,7},{2,6},{3,4,8},{5}}=>{{1,5,7},{2,6},{3,4,8}} {{1,7},{2,3,6},{4,8},{5}}=>{{1,5,7},{2,3,6},{4,8}} {{1,8},{2,3,6},{4,7},{5}}=>{{1,5,8},{2,3,6},{4,7}} {{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,3,5},{4,7},{6}} {{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5},{3,4,7},{6}} {{1,8},{2,4,7},{3,5},{6}}=>{{1,8},{2,4,7},{3,5},{6}} {{1,8},{2,4,7},{3,6},{5}}=>{{1,5,8},{2,4,7},{3,6}} {{1,7},{2,4,8},{3,6},{5}}=>{{1,5,7},{2,4,8},{3,6}} {{1,3,5},{2,8},{4,7},{6}}=>{{1,5},{2,8},{3},{4,7},{6}} {{1,3,8},{2,7},{4,6},{5}}=>{{1,5,8},{2,7},{3},{4,6}} {{1,6},{2,4,8},{3,7},{5}}=>{{1,5,6},{2,4,8},{3,7}} {{1,6},{2,4,7},{3,8},{5}}=>{{1,5,6},{2,4,7},{3,8}} {{1,7},{2,4,6},{3,8},{5}}=>{{1,5,7},{2,4,6},{3,8}} {{1,7},{2,4,8},{3,5},{6}}=>{{1,7},{2,4,8},{3,5},{6}} {{1,7},{2,3,5},{4,8},{6}}=>{{1,7},{2,3,5},{4,8},{6}} {{1,2,7},{3,8},{4,6},{5}}=>{{1,5,7},{2},{3,8},{4,6}} {{1,7},{2,8},{3,4,6},{5}}=>{{1,5,7},{2,8},{3,4,6}} {{1,6},{2,8},{3,4,7},{5}}=>{{1,5,6},{2,8},{3,4,7}} {{1,6},{2,3,7},{4,8},{5}}=>{{1,5,6},{2,3,7},{4,8}} {{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,4,8}} {{1,3,5},{2},{4,6,8},{7}}=>{{1,2,5},{3},{4,6,8},{7}} {{1,3},{2,4,6,8},{5},{7}}=>{{1,3},{2,4,6,8},{5},{7}} {{1},{2,4,6,8},{3},{5,7}}=>{{1},{2,4,6,8},{3},{5,7}} {{1,3},{2},{4,6,8},{5,7}}=>{{1,2,3},{4,6,8},{5,7}} {{1,3,6},{2},{4,8},{5,7}}=>{{1,2,6},{3},{4,8},{5,7}} {{1,3,6},{2},{4,7},{5,8}}=>{{1,2,6},{3},{4,7},{5,8}} {{1,3,5},{2},{4,7},{6,8}}=>{{1,2,5},{3},{4,7},{6,8}} {{1,3,5,7},{2},{4,6},{8}}=>{{1,2,5,7},{3},{4,6},{8}} {{1,3,7},{2},{4,6,8},{5}}=>{{1,2,7},{3},{4,6,8},{5}} {{1,3,7},{2},{4,6},{5,8}}=>{{1,2,7},{3},{4,6},{5,8}} {{1,3,5,7},{2},{4,8},{6}}=>{{1,2,5,7},{3},{4,8},{6}} {{1,3},{2,4,8},{5,7},{6}}=>{{1,3},{2,4,8},{5,7},{6}} {{1},{2,4,8},{3,5,7},{6}}=>{{1},{2,4,8},{3,5,7},{6}} {{1,4},{2,8},{3,5,7},{6}}=>{{1,4},{2,8},{3,5,7},{6}} {{1,4},{2,5,7},{3,8},{6}}=>{{1,4},{2,5,7},{3,8},{6}} {{1,3},{2,5,7},{4,8},{6}}=>{{1,3},{2,5,7},{4,8},{6}} {{1,3},{2,7},{4,6,8},{5}}=>{{1,3},{2,7},{4,6,8},{5}} {{1,3,7},{2,4,6},{5},{8}}=>{{1,5,7},{2,4,6},{3},{8}} {{1,7},{2,4,6},{3},{5,8}}=>{{1,3,7},{2,4,6},{5,8}} {{1,5,7},{2,4,8},{3},{6}}=>{{1,3,7},{2,4,8},{5},{6}} {{1},{2,8},{3,5,7},{4,6}}=>{{1},{2,8},{3,5,7},{4,6}} {{1,7},{2,4,6},{3,5},{8}}=>{{1,7},{2,4,6},{3,5},{8}} {{1,4,7},{2,6},{3,5},{8}}=>{{1,7},{2,6},{3,5},{4},{8}} {{1},{2,5,8},{3,7},{4,6}}=>{{1},{2,5,8},{3,7},{4,6}} {{1},{2,5,8},{3,6},{4,7}}=>{{1},{2,5,8},{3,6},{4,7}} {{1},{2,4,8},{3,6},{5,7}}=>{{1},{2,4,8},{3,6},{5,7}} {{1},{2,4,6,8},{3,5},{7}}=>{{1},{2,4,6,8},{3,5},{7}} {{1,4},{2,6,8},{3,5},{7}}=>{{1,4},{2,6,8},{3,5},{7}} {{1,4},{2,5},{3,6,8},{7}}=>{{1,4},{2,5},{3,6,8},{7}} {{1,3},{2,5},{4,6,8},{7}}=>{{1,3},{2,5},{4,6,8},{7}} {{1,5},{2,4,6,8},{3},{7}}=>{{1,3,5},{2,4,6,8},{7}} {{1,5},{2,4},{3,6,8},{7}}=>{{1,5},{2,4},{3,6,8},{7}} {{1},{2,6,8},{3,5,7},{4}}=>{{1},{2,6,8},{3,5,7},{4}} {{1,6},{2,8},{3,5,7},{4}}=>{{1,4,6},{2,8},{3,5,7}} {{1,6},{2,4,8},{3},{5,7}}=>{{1,3,6},{2,4,8},{5,7}} {{1,6},{2,4,7},{3},{5,8}}=>{{1,3,6},{2,4,7},{5,8}} {{1,5},{2,4,7},{3},{6,8}}=>{{1,3,5},{2,4,7},{6,8}} {{1,5,7},{2,4,6},{3},{8}}=>{{1,3,7},{2,4,6},{5},{8}} {{1,5,7},{2,4},{3,6},{8}}=>{{1,5,7},{2,4},{3,6},{8}} {{1},{2,6,8},{3,5},{4,7}}=>{{1},{2,6,8},{3,5},{4,7}} {{1},{2,4,6,8},{3,7},{5}}=>{{1},{2,4,6,8},{3,7},{5}} {{1,6},{2,7},{3,5,8},{4}}=>{{1,4,6},{2,7},{3,5,8}} {{1,3,5},{2,7},{4},{6,8}}=>{{1,4,5},{2,7},{3},{6,8}} {{1,7},{2,6,8},{3,5},{4}}=>{{1,4,7},{2,6,8},{3,5}} {{1,7},{2,6},{3,5,8},{4}}=>{{1,4,7},{2,6},{3,5,8}} {{1,2},{3,4,6},{5,8},{7}}=>{{1,2},{3,4,6},{5,8},{7}} {{1,2},{3,6},{4,5,8},{7}}=>{{1,2},{3,6},{4,5,8},{7}} {{1,2},{3,5,6},{4,8},{7}}=>{{1,2},{3,5,6},{4,8},{7}} {{1,2,5,6},{3},{4,8},{7}}=>{{1,3,5,6},{2},{4,8},{7}} {{1,2,6},{3},{4,5,8},{7}}=>{{1,3,6},{2},{4,5,8},{7}} {{1,6},{2,3},{4,5,8},{7}}=>{{1,6},{2,3},{4,5,8},{7}} {{1,5,6},{2,3},{4,8},{7}}=>{{1,5,6},{2,3},{4,8},{7}} {{1,5,6},{2,3,8},{4},{7}}=>{{1,4,6},{2,3,8},{5},{7}} {{1,5,6},{2,8},{3,4},{7}}=>{{1,5,6},{2,8},{3,4},{7}} {{1,5},{2,8},{3,4,6},{7}}=>{{1,5},{2,8},{3,4,6},{7}} {{1,5},{2,3,8},{4,6},{7}}=>{{1,5},{2,3,8},{4,6},{7}} {{1,6},{2,3,5,8},{4},{7}}=>{{1,4,6},{2,3,5,8},{7}} {{1,2,5},{3,8},{4,6},{7}}=>{{1,5},{2},{3,8},{4,6},{7}} {{1,2,4},{3,6},{5},{7,8}}=>{{1,4},{2},{3,6},{5},{7,8}} {{1,2,4,6},{3},{5,8},{7}}=>{{1,3,4,6},{2},{5,8},{7}} {{1,2,4},{3,8},{5,7},{6}}=>{{1,4},{2},{3,8},{5,7},{6}} {{1,2,4},{3,8},{5},{6,7}}=>{{1,4},{2},{3,8},{5},{6,7}} {{1,4},{2,3,8},{5},{6,7}}=>{{1,4},{2,3,8},{5},{6,7}} {{1,3,4},{2,8},{5},{6,7}}=>{{1,4},{2,8},{3},{5},{6,7}} {{1,3,4},{2,8},{5,7},{6}}=>{{1,4},{2,8},{3},{5,7},{6}} {{1,4},{2,3,8},{5,7},{6}}=>{{1,4},{2,3,8},{5,7},{6}} {{1,4,6},{2,3},{5,8},{7}}=>{{1,4,6},{2,3},{5,8},{7}} {{1,4},{2,3,6},{5},{7,8}}=>{{1,4},{2,3,6},{5},{7,8}} {{1,4},{2,3,6,8},{5},{7}}=>{{1,4},{2,3,6,8},{5},{7}} {{1,4},{2,3,6},{5,8},{7}}=>{{1,4},{2,3,6},{5,8},{7}} {{1,8},{2,4,5},{3,7},{6}}=>{{1,8},{2,4,5},{3,7},{6}} {{1,3,8},{2,6},{4,5},{7}}=>{{1,8},{2,6},{3},{4,5},{7}} {{1,3,4},{2,6},{5},{7,8}}=>{{1,4},{2,6},{3},{5},{7,8}} {{1,6},{2,5,8},{3,4},{7}}=>{{1,6},{2,5,8},{3,4},{7}} {{1,6},{2,4,5},{3,8},{7}}=>{{1,6},{2,4,5},{3,8},{7}} {{1,4,5},{2,8},{3,6},{7}}=>{{1,5},{2,8},{3,6},{4},{7}} {{1,3,8},{2,5,6},{4},{7}}=>{{1,4,8},{2,5,6},{3},{7}} {{1,3,8},{2,5},{4},{6,7}}=>{{1,4,8},{2,5},{3},{6,7}} {{1,5},{2,4},{3,7,8},{6}}=>{{1,5},{2,4},{3,7,8},{6}} {{1,5,6},{2,4},{3,8},{7}}=>{{1,5,6},{2,4},{3,8},{7}} {{1,4},{2,8},{3,5,6},{7}}=>{{1,4},{2,8},{3,5,6},{7}} {{1,4},{2,7,8},{3,5},{6}}=>{{1,4},{2,7,8},{3,5},{6}} {{1,4,7},{2,8},{3},{5,6}}=>{{1,3,7},{2,8},{4},{5,6}} {{1,5,7},{2,8},{3,4},{6}}=>{{1,5,7},{2,8},{3,4},{6}} {{1,5,7},{2,3,8},{4},{6}}=>{{1,4,7},{2,3,8},{5},{6}} {{1,2,5},{3,7},{4},{6,8}}=>{{1,4,5},{2},{3,7},{6,8}} {{1,5},{2,3,7},{4},{6,8}}=>{{1,4,5},{2,3,7},{6,8}} {{1,4,5},{2,7},{3},{6,8}}=>{{1,3,5},{2,7},{4},{6,8}} {{1,4},{2,7},{3},{5,6,8}}=>{{1,3,4},{2,7},{5,6,8}} {{1,4},{2,6,7},{3},{5,8}}=>{{1,3,4},{2,6,7},{5,8}} {{1,4},{2,6},{3},{5,7,8}}=>{{1,3,4},{2,6},{5,7,8}} {{1,6},{2,5,7,8},{3},{4}}=>{{1,3,4,6},{2,5,7,8}} {{1,6,7},{2,5,8},{3},{4}}=>{{1,3,4,7},{2,5,8},{6}} {{1,7},{2,5,6,8},{3},{4}}=>{{1,3,4,7},{2,5,6,8}} {{1,7},{2,6,8},{3},{4,5}}=>{{1,3,7},{2,6,8},{4,5}} {{1,7},{2,3,6,8},{4},{5}}=>{{1,4,5,7},{2,3,6,8}} {{1,2,8},{3,6},{4},{5,7}}=>{{1,4,8},{2},{3,6},{5,7}} {{1,8},{2,6},{3},{4,5,7}}=>{{1,3,8},{2,6},{4,5,7}} {{1,8},{2,5,6},{3},{4,7}}=>{{1,3,8},{2,5,6},{4,7}} {{1,8},{2,5},{3},{4,6,7}}=>{{1,3,8},{2,5},{4,6,7}} {{1,7,8},{2,5},{3},{4,6}}=>{{1,3,7,8},{2,5},{4,6}} {{1,8},{2,4},{3,6,7},{5}}=>{{1,8},{2,4},{3,6,7},{5}} {{1,7,8},{2,4},{3,6},{5}}=>{{1,7,8},{2,4},{3,6},{5}} {{1,4},{2,3,7},{5,8},{6}}=>{{1,4},{2,3,7},{5,8},{6}} {{1,3},{2,7},{4,5,8},{6}}=>{{1,3},{2,7},{4,5,8},{6}} {{1,3},{2,6,7},{4,8},{5}}=>{{1,3},{2,6,7},{4,8},{5}} {{1,3},{2,6},{4,7,8},{5}}=>{{1,3},{2,6},{4,7,8},{5}} {{1,6},{2,4,7,8},{3},{5}}=>{{1,3,5,6},{2,4,7,8}} {{1,7},{2,4,8},{3},{5,6}}=>{{1,3,7},{2,4,8},{5,6}} {{1,7},{2,4,5,8},{3},{6}}=>{{1,3,6,7},{2,4,5,8}} {{1,7},{2,5,8},{3,4},{6}}=>{{1,7},{2,5,8},{3,4},{6}} {{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,3,5,8}} {{1,2,7},{3},{4,6},{5,8}}=>{{1,3,7},{2},{4,6},{5,8}} {{1,7},{2},{3,4,6},{5,8}}=>{{1,2,7},{3,4,6},{5,8}} {{1,7},{2},{3,6},{4,5,8}}=>{{1,2,7},{3,6},{4,5,8}} {{1,7},{2},{3,5,6},{4,8}}=>{{1,2,7},{3,5,6},{4,8}} {{1,6,7},{2},{3,5},{4,8}}=>{{1,2,6,7},{3,5},{4,8}} {{1,6},{2},{3,5},{4,7,8}}=>{{1,2,6},{3,5},{4,7,8}} {{1,5},{2},{3,7,8},{4,6}}=>{{1,2,5},{3,7,8},{4,6}} {{1,5},{2},{3,8},{4,6,7}}=>{{1,2,5},{3,8},{4,6,7}} {{1,5,6},{2},{3,8},{4,7}}=>{{1,2,6},{3,8},{4,7},{5}} {{1,6},{2},{3,8},{4,5,7}}=>{{1,2,6},{3,8},{4,5,7}} {{1,6},{2},{3,4,8},{5,7}}=>{{1,2,6},{3,4,8},{5,7}} {{1,2,6},{3},{4,8},{5,7}}=>{{1,3,6},{2},{4,8},{5,7}} {{1,2,6,8},{3},{4,7},{5}}=>{{1,3,6,8},{2},{4,7},{5}} {{1,6,8},{2,3},{4,7},{5}}=>{{1,6,8},{2,3},{4,7},{5}} {{1,6,8},{2},{3,7},{4,5}}=>{{1,2,6,8},{3,7},{4,5}} {{1,5,6,8},{2},{3,7},{4}}=>{{1,2,4,6,8},{3,7},{5}} {{1,5,8},{2},{3,6,7},{4}}=>{{1,2,4,8},{3,6,7},{5}} {{1,3,6,8},{2},{4},{5,7}}=>{{1,2,6,8},{3},{4},{5,7}} {{1,4,6,8},{2},{3,5},{7}}=>{{1,2,6,8},{3,5},{4},{7}} {{1,5,7},{2,3},{4,8},{6}}=>{{1,5,7},{2,3},{4,8},{6}} {{1,4,8},{2},{3,6},{5,7}}=>{{1,2,8},{3,6},{4},{5,7}} {{1,3,8},{2},{4,6},{5,7}}=>{{1,2,8},{3},{4,6},{5,7}} {{1,4,7,8},{2},{3,6},{5}}=>{{1,2,7,8},{3,6},{4},{5}} {{1,4,6,7},{2},{3,5},{8}}=>{{1,2,6,7},{3,5},{4},{8}} {{1,4,8},{2},{3,7},{5,6}}=>{{1,2,8},{3,7},{4},{5,6}} {{1,5,8},{2},{3,7},{4,6}}=>{{1,2,8},{3,7},{4,6},{5}} {{1,5,8},{2},{3,6},{4,7}}=>{{1,2,8},{3,6},{4,7},{5}} {{1,4,7},{2,3},{5,8},{6}}=>{{1,4,7},{2,3},{5,8},{6}} {{1,3},{2,5,8},{4,7},{6}}=>{{1,3},{2,5,8},{4,7},{6}} {{1,5},{2,4,7,8},{3},{6}}=>{{1,3,5},{2,4,7,8},{6}} {{1,3},{2,4,6,7},{5},{8}}=>{{1,3},{2,4,6,7},{5},{8}} {{1,3},{2,4,8},{5,6},{7}}=>{{1,3},{2,4,8},{5,6},{7}} {{1,3},{2,5,8},{4,6},{7}}=>{{1,3},{2,5,8},{4,6},{7}} {{1,6},{2,3,4},{5,8},{7}}=>{{1,6},{2,3,4},{5,8},{7}} {{1,6},{2,4},{3,5,8},{7}}=>{{1,6},{2,4},{3,5,8},{7}} {{1,4},{2,6},{3,5,8},{7}}=>{{1,4},{2,6},{3,5,8},{7}} {{1,4},{2,5,6},{3,7},{8}}=>{{1,4},{2,5,6},{3,7},{8}} {{1,4},{2,6,7},{3,8},{5}}=>{{1,4},{2,6,7},{3,8},{5}} {{1,2,5},{3,6},{4},{7,8}}=>{{1,4,5},{2},{3,6},{7,8}} {{1,2,4},{3,7},{5,6},{8}}=>{{1,4},{2},{3,7},{5,6},{8}} {{1,3,4},{2,7},{5,6},{8}}=>{{1,4},{2,7},{3},{5,6},{8}} {{1,6,7},{2,8},{3},{4,5}}=>{{1,3,6,7},{2,8},{4,5}} {{1,5,6},{2,3},{4,7},{8}}=>{{1,5,6},{2,3},{4,7},{8}} {{1,4,6},{2,3},{5,7},{8}}=>{{1,4,6},{2,3},{5,7},{8}} {{1,4},{2,3,6},{5,7},{8}}=>{{1,4},{2,3,6},{5,7},{8}} {{1,4},{2,3,7},{5},{6,8}}=>{{1,4},{2,3,7},{5},{6,8}} {{1,2,4},{3,7},{5},{6,8}}=>{{1,4},{2},{3,7},{5},{6,8}} {{1,3,4},{2,7},{5},{6,8}}=>{{1,4},{2,7},{3},{5},{6,8}} {{1,2,7},{3},{4,5},{6,8}}=>{{1,3,7},{2},{4,5},{6,8}} {{1,2,6},{3},{4},{5,7,8}}=>{{1,3,6},{2},{4},{5,7,8}} {{1,7},{2,3,4},{5},{6,8}}=>{{1,7},{2,3,4},{5},{6,8}} {{1,7},{2,4},{3,6,8},{5}}=>{{1,7},{2,4},{3,6,8},{5}} {{1,4},{2,7},{3,6,8},{5}}=>{{1,4},{2,7},{3,6,8},{5}} {{1,4},{2,6},{3,5,7},{8}}=>{{1,4},{2,6},{3,5,7},{8}} {{1,6},{2,4},{3,5,7},{8}}=>{{1,6},{2,4},{3,5,7},{8}} {{1,6},{2,3,4},{5,7},{8}}=>{{1,6},{2,3,4},{5,7},{8}} {{1,3},{2,5,7},{4,6},{8}}=>{{1,3},{2,5,7},{4,6},{8}} {{1,3},{2,4,7},{5,6},{8}}=>{{1,3},{2,4,7},{5,6},{8}} {{1,5},{2,7,8},{3},{4,6}}=>{{1,3,5},{2,7,8},{4,6}} {{1,7},{2,4},{3,5,6},{8}}=>{{1,7},{2,4},{3,5,6},{8}} {{1,6},{2,5},{3,7,8},{4}}=>{{1,4,6},{2,5},{3,7,8}} {{1,5},{2,6},{3,7,8},{4}}=>{{1,4,5},{2,6},{3,7,8}} {{1,4},{2,8},{3,6,7},{5}}=>{{1,4},{2,8},{3,6,7},{5}} {{1,4},{2,7},{3,5,6},{8}}=>{{1,4},{2,7},{3,5,6},{8}} {{1,3},{2,4,5,6},{7,8}}=>{{1,3},{2,4,5,6},{7,8}} {{1,4},{2,3,5,6},{7,8}}=>{{1,4},{2,3,5,6},{7,8}} {{1,4},{2,3,5,7},{6,8}}=>{{1,4},{2,3,5,7},{6,8}} {{1,3},{2,4,5,7},{6,8}}=>{{1,3},{2,4,5,7},{6,8}} {{1,2},{3,4,5,7},{6,8}}=>{{1,2},{3,4,5,7},{6,8}} {{1,3},{2,4,5,6,7,8}}=>{{1,3},{2,4,5,6,7,8}} {{1,4},{2,3,5,6,7,8}}=>{{1,4},{2,3,5,6,7,8}} {{1,5},{2,3,4,6,7,8}}=>{{1,5},{2,3,4,6,7,8}} {{1,2},{3,4,6,7},{5,8}}=>{{1,2},{3,4,6,7},{5,8}} {{1,3},{2,4,6,7},{5,8}}=>{{1,3},{2,4,6,7},{5,8}} {{1,4},{2,3,6,7},{5,8}}=>{{1,4},{2,3,6,7},{5,8}} {{1,5},{2,3,6,7},{4,8}}=>{{1,5},{2,3,6,7},{4,8}} {{1,3},{2,4},{5,6,7,8}}=>{{1,3},{2,4},{5,6,7,8}} {{1,4},{2,5},{3,6,7,8}}=>{{1,4},{2,5},{3,6,7,8}} {{1,3},{2,5},{4,6,7,8}}=>{{1,3},{2,5},{4,6,7,8}} {{1,2},{3,5},{4,6,7,8}}=>{{1,2},{3,5},{4,6,7,8}} {{1,2},{3,6},{4,5,7,8}}=>{{1,2},{3,6},{4,5,7,8}} {{1,3},{2,6},{4,5,7,8}}=>{{1,3},{2,6},{4,5,7,8}} {{1,4},{2,6},{3,5,7,8}}=>{{1,4},{2,6},{3,5,7,8}} {{1,5},{2,6},{3,4,7,8}}=>{{1,5},{2,6},{3,4,7,8}} {{1,2},{3,5,6,8},{4,7}}=>{{1,2},{3,5,6,8},{4,7}} {{1,3},{2,5,6,8},{4,7}}=>{{1,3},{2,5,6,8},{4,7}} {{1,4},{2,5,6,8},{3,7}}=>{{1,4},{2,5,6,8},{3,7}} {{1,5},{2,4,6,8},{3,7}}=>{{1,5},{2,4,6,8},{3,7}} {{1,4,5,8},{2,3,6,7}}=>{{1,8},{2,3,6,7},{4},{5}} {{1,4},{2},{3,5,6},{7,8}}=>{{1,2,4},{3,5,6},{7,8}} {{1,4,5},{2},{3,6},{7,8}}=>{{1,2,5},{3,6},{4},{7,8}} {{1,5},{2},{3,4,6},{7,8}}=>{{1,2,5},{3,4,6},{7,8}} {{1,6},{2},{3,4,7,8},{5}}=>{{1,2,5,6},{3,4,7,8}} {{1,5},{2},{3,4,7,8},{6}}=>{{1,2,5},{3,4,7,8},{6}} {{1,4,5},{2},{3,7,8},{6}}=>{{1,2,5},{3,7,8},{4},{6}} {{1,4,5},{2},{3,8},{6,7}}=>{{1,2,5},{3,8},{4},{6,7}} {{1,6,7},{2},{3,4,8},{5}}=>{{1,2,5,7},{3,4,8},{6}} {{1,7},{2},{3,4,8},{5,6}}=>{{1,2,7},{3,4,8},{5,6}} {{1,4,6,7},{2},{3,8},{5}}=>{{1,2,6,7},{3,8},{4},{5}} {{1,4,6},{2},{3,7,8},{5}}=>{{1,2,6},{3,7,8},{4},{5}} {{1,3,6},{2},{4},{5,7,8}}=>{{1,2,6},{3},{4},{5,7,8}} {{1,2},{3,6},{4},{5,7,8}}=>{{1,2},{3,6},{4},{5,7,8}} {{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4},{3,5,7,8},{6}} {{1,6},{2,4},{3},{5,7,8}}=>{{1,3,6},{2,4},{5,7,8}} {{1,6,7},{2,3},{4},{5,8}}=>{{1,6,7},{2,3},{4},{5,8}} {{1,7},{2,4},{3},{5,6,8}}=>{{1,3,7},{2,4},{5,6,8}} {{1,6,7},{2,4},{3},{5,8}}=>{{1,3,6,7},{2,4},{5,8}} {{1,2},{3,6,7},{4},{5,8}}=>{{1,2},{3,6,7},{4},{5,8}} {{1,3,6,7},{2},{4},{5,8}}=>{{1,2,6,7},{3},{4},{5,8}} {{1,3,7},{2},{4},{5,6,8}}=>{{1,2,7},{3},{4},{5,6,8}} {{1,2},{3,7},{4},{5,6,8}}=>{{1,2},{3,7},{4},{5,6,8}} {{1,4,7},{2},{3,8},{5,6}}=>{{1,2,7},{3,8},{4},{5,6}} {{1,7},{2,4,5},{3},{6,8}}=>{{1,3,7},{2,4,5},{6,8}} {{1,8},{2,4,5},{3,6},{7}}=>{{1,8},{2,4,5},{3,6},{7}} {{1,8},{2,4},{3,5,6},{7}}=>{{1,8},{2,4},{3,5,6},{7}} {{1,5,8},{2,3},{4,6},{7}}=>{{1,5,8},{2,3},{4,6},{7}} {{1,8},{2,5},{3,4,6},{7}}=>{{1,8},{2,5},{3,4,6},{7}} {{1,4,8},{2},{3,5,6},{7}}=>{{1,2,8},{3,5,6},{4},{7}} {{1,4},{2},{3,6,8},{5,7}}=>{{1,2,4},{3,6,8},{5,7}} {{1,5,7},{2,3},{4},{6,8}}=>{{1,5,7},{2,3},{4},{6,8}} {{1,4,6},{2},{3},{5,7,8}}=>{{1,2,3,6},{4},{5,7,8}} {{1},{2,5,6},{3,7},{4,8}}=>{{1},{2,5,6},{3,7},{4,8}} {{1},{2,5,6},{3},{4,7,8}}=>{{1},{2,5,6},{3},{4,7,8}} {{1},{2,5},{3,7},{4,6,8}}=>{{1},{2,5},{3,7},{4,6,8}} {{1},{2},{3,6,7},{4,5,8}}=>{{1},{2},{3,6,7},{4,5,8}} {{1},{2,3,6,7},{4},{5,8}}=>{{1},{2,3,6,7},{4},{5,8}} {{1},{2,3,6},{4,8},{5,7}}=>{{1},{2,3,6},{4,8},{5,7}} {{1},{2},{3,4,6,8},{5,7}}=>{{1},{2},{3,4,6,8},{5,7}} {{1},{2},{3,6},{4,5,7,8}}=>{{1},{2},{3,6},{4,5,7,8}} {{1},{2,5},{3},{4,6,7,8}}=>{{1},{2,5},{3},{4,6,7,8}} {{1},{2,5},{3,6},{4,7,8}}=>{{1},{2,5},{3,6},{4,7,8}} {{1},{2,5},{3,6,7},{4,8}}=>{{1},{2,5},{3,6,7},{4,8}} {{1},{2},{3,5,6,7},{4,8}}=>{{1},{2},{3,5,6,7},{4,8}} {{1},{2},{3,5,6},{4,7,8}}=>{{1},{2},{3,5,6},{4,7,8}} {{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,5},{4,6,7,8}} {{1},{2,4,8},{3,5},{6,7}}=>{{1},{2,4,8},{3,5},{6,7}} {{1},{2,4},{3,6,8},{5,7}}=>{{1},{2,4},{3,6,8},{5,7}} {{1},{2,4,7},{3,6},{5,8}}=>{{1},{2,4,7},{3,6},{5,8}} {{1,3},{2,8},{4,5,7},{6}}=>{{1,3},{2,8},{4,5,7},{6}} {{1,3},{2,4,7,8},{5},{6}}=>{{1,3},{2,4,7,8},{5},{6}} {{1,7},{2,3,4,8},{5},{6}}=>{{1,5,6,7},{2,3,4,8}} {{1},{2,4,7},{3},{5,6,8}}=>{{1},{2,4,7},{3},{5,6,8}} {{1,7},{2},{3,4,5},{6,8}}=>{{1,2,7},{3,4,5},{6,8}} {{1},{2,3,7},{4,8},{5,6}}=>{{1},{2,3,7},{4,8},{5,6}} {{1},{2},{3,7},{4,5,6,8}}=>{{1},{2},{3,7},{4,5,6,8}} {{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,5,7},{4,6,8}} {{1},{2,6},{3,5},{4,7,8}}=>{{1},{2,6},{3,5},{4,7,8}} {{1},{2,6},{3,5,7},{4,8}}=>{{1},{2,6},{3,5,7},{4,8}} {{1,5},{2},{3,6,7},{4,8}}=>{{1,2,5},{3,6,7},{4,8}} {{1,5},{2},{3,6},{4,7,8}}=>{{1,2,5},{3,6},{4,7,8}} {{1,5},{2},{3},{4,6,7,8}}=>{{1,2,3,5},{4,6,7,8}} {{1},{2,6},{3},{4,5,7,8}}=>{{1},{2,6},{3},{4,5,7,8}} {{1,6},{2},{3,4},{5,7,8}}=>{{1,2,6},{3,4},{5,7,8}} {{1,2,6},{3},{4,7,8},{5}}=>{{1,3,6},{2},{4,7,8},{5}} {{1,6},{2},{3,4,7},{5,8}}=>{{1,2,6},{3,4,7},{5,8}} {{1},{2,6},{3,7},{4,5,8}}=>{{1},{2,6},{3,7},{4,5,8}} {{1,5},{2},{3,7},{4,6,8}}=>{{1,2,5},{3,7},{4,6,8}} {{1,5},{2,6},{3},{4,7,8}}=>{{1,3,5},{2,6},{4,7,8}} {{1,3,6},{2,5},{4},{7,8}}=>{{1,4,6},{2,5},{3},{7,8}} {{1,5},{2,4,6},{3},{7,8}}=>{{1,3,5},{2,4,6},{7,8}} {{1,4,5},{2,6},{3},{7,8}}=>{{1,3,5},{2,6},{4},{7,8}} {{1,5,8},{2,7},{3,4},{6}}=>{{1,5,8},{2,7},{3,4},{6}} {{1,4,5},{2,8},{3},{6,7}}=>{{1,3,5},{2,8},{4},{6,7}} {{1,6,7},{2,8},{3,5},{4}}=>{{1,4,6,7},{2,8},{3,5}} {{1,6},{2,8},{3},{4,5,7}}=>{{1,3,6},{2,8},{4,5,7}} {{1,6},{2,5,8},{3},{4,7}}=>{{1,3,6},{2,5,8},{4,7}} {{1,6},{2,4,5,8},{3},{7}}=>{{1,3,6},{2,4,5,8},{7}} {{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,6,8}} {{1,7},{2,5},{3,6,8},{4}}=>{{1,4,7},{2,5},{3,6,8}} {{1,8},{2,6},{3,5,7},{4}}=>{{1,4,8},{2,6},{3,5,7}} {{1,5,8},{2,3},{4,7},{6}}=>{{1,5,8},{2,3},{4,7},{6}} {{1,7},{2,3},{4,6,8},{5}}=>{{1,7},{2,3},{4,6,8},{5}} {{1,6,7},{2,3},{4,8},{5}}=>{{1,6,7},{2,3},{4,8},{5}} {{1,8},{2,5,6},{3,7},{4}}=>{{1,4,8},{2,5,6},{3,7}} {{1,3,8},{2,6},{4},{5,7}}=>{{1,4,8},{2,6},{3},{5,7}} {{1,6,7},{2,5},{3,8},{4}}=>{{1,4,6,7},{2,5},{3,8}} {{1,5},{2,6,7},{3},{4,8}}=>{{1,3,5},{2,6,7},{4,8}} {{1,3,8},{2,7},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}} {{1,5,6},{2,4,8},{3},{7}}=>{{1,3,6},{2,4,8},{5},{7}} {{1,5,6},{2,8},{3},{4,7}}=>{{1,3,6},{2,8},{4,7},{5}} {{1,5,7},{2},{3,6,8},{4}}=>{{1,2,4,7},{3,6,8},{5}} {{1,5},{2},{3,6,8},{4,7}}=>{{1,2,5},{3,6,8},{4,7}} {{1,6,8},{2,5},{3},{4,7}}=>{{1,3,6,8},{2,5},{4,7}} {{1,5},{2,6,8},{3},{4,7}}=>{{1,3,5},{2,6,8},{4,7}} {{1,5,7},{2,6},{3},{4,8}}=>{{1,3,7},{2,6},{4,8},{5}} {{1,6},{2,5,7},{3},{4,8}}=>{{1,3,6},{2,5,7},{4,8}} {{1,5,7},{2},{3,6},{4,8}}=>{{1,2,7},{3,6},{4,8},{5}} {{1,5,7},{2},{3,8},{4,6}}=>{{1,2,7},{3,8},{4,6},{5}} {{1,5,6},{2},{3,7},{4,8}}=>{{1,2,6},{3,7},{4,8},{5}} {{1,5,8},{2,6},{3},{4,7}}=>{{1,3,8},{2,6},{4,7},{5}} {{1,7},{2,5,8},{3,6},{4}}=>{{1,4,7},{2,5,8},{3,6}} {{1,7},{2,5,8},{3},{4,6}}=>{{1,3,7},{2,5,8},{4,6}} {{1,7},{2,5,6},{3},{4,8}}=>{{1,3,7},{2,5,6},{4,8}} {{1,6,7},{2,5},{3},{4,8}}=>{{1,3,6,7},{2,5},{4,8}} {{1,6},{2,5},{3},{4,7,8}}=>{{1,3,6},{2,5},{4,7,8}} {{1,5,6},{2,7},{3},{4,8}}=>{{1,3,6},{2,7},{4,8},{5}} {{1,5,8},{2,7},{3},{4,6}}=>{{1,3,8},{2,7},{4,6},{5}} {{1,6},{2,5,8},{3,7},{4}}=>{{1,4,6},{2,5,8},{3,7}} {{1,5,6},{2,8},{3,7},{4}}=>{{1,4,6},{2,8},{3,7},{5}} {{1,5},{2,8},{3,6,7},{4}}=>{{1,4,5},{2,8},{3,6,7}} {{1,5},{2,7,8},{3,6},{4}}=>{{1,4,5},{2,7,8},{3,6}} {{1,8},{2,5},{3,6,7},{4}}=>{{1,4,8},{2,5},{3,6,7}} {{1,8},{2,5,7},{3},{4,6}}=>{{1,3,8},{2,5,7},{4,6}} {{1,5,7},{2,8},{3,6},{4}}=>{{1,4,7},{2,8},{3,6},{5}} {{1,5},{2,7},{3,6,8},{4}}=>{{1,4,5},{2,7},{3,6,8}} {{1,7},{2,5},{3},{4,6,8}}=>{{1,3,7},{2,5},{4,6,8}} {{1,6,8},{2,5},{3,7},{4}}=>{{1,4,6,8},{2,5},{3,7}} {{1,5},{2,6,8},{3,7},{4}}=>{{1,4,5},{2,6,8},{3,7}} {{1,6},{2,5,7},{3,8},{4}}=>{{1,4,6},{2,5,7},{3,8}} {{1,5,7},{2,8},{3},{4,6}}=>{{1,3,7},{2,8},{4,6},{5}} {{1,5},{2,8},{3},{4,6,7}}=>{{1,3,5},{2,8},{4,6,7}} {{1,6},{2,7,8},{3,5},{4}}=>{{1,4,6},{2,7,8},{3,5}} {{1,7},{2,8},{3,5,6},{4}}=>{{1,4,7},{2,8},{3,5,6}} {{1,7},{2,5,6},{3,8},{4}}=>{{1,4,7},{2,5,6},{3,8}} {{1,5},{2,6,7},{3,8},{4}}=>{{1,4,5},{2,6,7},{3,8}} {{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}} {{1},{2},{3},{4},{5},{6},{7},{8,9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9}} {{1},{2},{3},{4},{5},{6},{7,9},{8}}=>{{1},{2},{3},{4},{5},{6},{7,9},{8}} {{1},{2},{3},{4},{5},{6,9},{7},{8}}=>{{1},{2},{3},{4},{5},{6,9},{7},{8}} {{1},{2},{3},{4},{5,9},{6},{7},{8}}=>{{1},{2},{3},{4},{5,9},{6},{7},{8}} {{1},{2},{3},{4,9},{5},{6},{7},{8}}=>{{1},{2},{3},{4,9},{5},{6},{7},{8}} {{1},{2},{3,9},{4},{5},{6},{7},{8}}=>{{1},{2},{3,9},{4},{5},{6},{7},{8}} {{1},{2,9},{3},{4},{5},{6},{7},{8}}=>{{1},{2,9},{3},{4},{5},{6},{7},{8}} {{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1,2,3,4,5,6,7,8,9}} {{1},{2},{3},{4},{5},{6},{7,8,9}}=>{{1},{2},{3},{4},{5},{6},{7,8,9}} {{1},{2},{3},{4},{5},{6,9},{7,8}}=>{{1},{2},{3},{4},{5},{6,9},{7,8}} {{1},{2},{3},{4},{5,9},{6,7},{8}}=>{{1},{2},{3},{4},{5,9},{6,7},{8}} {{1},{2},{3},{4,9},{5,6},{7},{8}}=>{{1},{2},{3},{4,9},{5,6},{7},{8}} {{1},{2},{3,9},{4,5},{6},{7},{8}}=>{{1},{2},{3,9},{4,5},{6},{7},{8}} {{1},{2,9},{3,4},{5},{6},{7},{8}}=>{{1},{2,9},{3,4},{5},{6},{7},{8}} {{1,9},{2,3},{4},{5},{6},{7},{8}}=>{{1,9},{2,3},{4},{5},{6},{7},{8}} {{1,2,3,4,5,6,7,8},{9}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9}} {{1},{2,3,4,5,6,7,8,9}}=>{{1},{2,3,4,5,6,7,8,9}} {{1,2,3,4,5,6,8},{7},{9}}=>{{1,7,8},{2},{3},{4},{5},{6},{9}} {{1},{2,3,4,5,6,7,9},{8}}=>{{1},{2,3,4,5,6,7,9},{8}} {{1,2,3,4,5,8},{6,7},{9}}=>{{1,8},{2},{3},{4},{5},{6,7},{9}} {{1,2,3,4,5,7,8},{6},{9}}=>{{1,6,7,8},{2},{3},{4},{5},{9}} {{1},{2,3,4,5,6,9},{7,8}}=>{{1},{2,3,4,5,6,9},{7,8}} {{1},{2,3,4,5,6,8,9},{7}}=>{{1},{2,3,4,5,6,8,9},{7}} {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} {{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}} {{1},{2},{3},{4},{5},{6},{7,10},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7,10},{8},{9}} {{1},{2},{3},{4},{5},{6,10},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6,10},{7},{8},{9}} {{1},{2},{3},{4},{5,10},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5,10},{6},{7},{8},{9}} {{1},{2},{3},{4,10},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4,10},{5},{6},{7},{8},{9}} {{1},{2},{3,10},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3,10},{4},{5},{6},{7},{8},{9}} {{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}} {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,7,8,9,10}} {{1,2,3,4,5,6,7,8,9},{10}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}} {{1},{2,3,4,5,6,7,8,9,10}}=>{{1},{2,3,4,5,6,7,8,9,10}} {{1,2,3,4,5,6,7,9},{8},{10}}=>{{1,8,9},{2},{3},{4},{5},{6},{7},{10}} {{1},{2,3,4,5,6,7,8,10},{9}}=>{{1},{2,3,4,5,6,7,8,10},{9}} {{1,2,3,4,5,6,7,8,9,10},{11}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9},{11}} {{1},{2,3,4,5,6,7,8,9,10,11}}=>{{1},{2,3,4,5,6,7,8,9,10,11}}
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Description
Switch the first closer and the minimum of the smallest closer and the second element of the block containing 1 in a set partition.
More precisely, this involution implements a joint symmetry between St000971The smallest closer of a set partition. and St001784The minimum of the smallest closer and the second element of the block containing 1 in a set partition..
References
[1] Callan, D. An involution on set partitions arXiv:2204.02556
Properties
graded, involutive
Sage code
def mapping(P):
    """
    EXAMPLES::

        sage: mapping(SetPartition([[3],[4],[7],[8,5,2],[9,6,1]]))
        {{1, 3, 4, 9}, {2, 5, 8}, {6}, {7}}

        sage: mapping(SetPartition([[3],[4],[6,5,2],[7],[9,8,1]]))
        {{1, 3, 4, 8, 9}, {2, 5, 6}, {7}}


        sage: n = 10
        sage: all(mapping(mapping(P)) == P for P in SetPartitions(n))
        True

    """
    if not P:
        return P
    P = sorted((sorted(b) for b in P), key=max)

    r = None
    for b in P:
        if b[0] == 1:
            b1 = b
            if len(b1) == 1:
                y = 1
                break
            s = b[1]
        if len(b) > 1 and (r is None or r > b[-1]):
            r = b[-1]
    else:
        y = min(r, s)
    x = P[0][-1] # smallest max

    if x == y:
        result = P
    elif x < y:
        if r > s:
            i = 0
            while len(P[i]) == 1 and P[i][0] < s:
                i += 1
            initial_singletons = sum(P[:i], [])
            del b1[1]
            b1.extend(initial_singletons)
            result = P[i:] + [[s]]
        else:
            i = 0
            while len(P[i]) == 1:
                i += 1
            initial_singletons = sum(P[:i], [])
            b1.extend(initial_singletons)
            result = P[i:]
    else:
        if len(P[0]) == 1:
            initial_singletons = []
            while b1[1] < x:
                initial_singletons.append([b1[1]])
                del b1[1]
            b1.append(x)
            result = initial_singletons + P[1:]
        else:
            initial_singletons = []
            while b1[1] < x:
                initial_singletons.append([b1[1]])
                del b1[1]
            result = initial_singletons + P

    return SetPartition(result)

Weight
40
Created
Apr 12, 2022 at 15:54 by Martin Rubey
Updated
Apr 12, 2022 at 15:54 by Martin Rubey