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Identifier
Mp00115: Set partitions Kasraoui-Zeng Set partitions
Images
=>
Cc0009;cc-rep-0Cc0009;cc-rep-1
{{1}}=>{{1}} {{1,2}}=>{{1,2}} {{1},{2}}=>{{1},{2}} {{1,2,3}}=>{{1,2,3}} {{1,2},{3}}=>{{1,2},{3}} {{1,3},{2}}=>{{1,3},{2}} {{1},{2,3}}=>{{1},{2,3}} {{1},{2},{3}}=>{{1},{2},{3}} {{1,2,3,4}}=>{{1,2,3,4}} {{1,2,3},{4}}=>{{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}} {{1,3,4},{2}}=>{{1,3,4},{2}} {{1,3},{2,4}}=>{{1,4},{2,3}} {{1,3},{2},{4}}=>{{1,3},{2},{4}} {{1,4},{2,3}}=>{{1,3},{2,4}} {{1},{2,3,4}}=>{{1},{2,3,4}} {{1},{2,3},{4}}=>{{1},{2,3},{4}} {{1,4},{2},{3}}=>{{1,4},{2},{3}} {{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}}=>{{1,2,3,4,5}} {{1,2,3,4},{5}}=>{{1,2,3,4},{5}} {{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}} {{1,2,4,5},{3}}=>{{1,2,4,5},{3}} {{1,2,4},{3,5}}=>{{1,2,5},{3,4}} {{1,2,4},{3},{5}}=>{{1,2,4},{3},{5}} {{1,2,5},{3,4}}=>{{1,2,4},{3,5}} {{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}}=>{{1,2,5},{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}} {{1,3,4,5},{2}}=>{{1,3,4,5},{2}} {{1,3,4},{2,5}}=>{{1,4},{2,3,5}} {{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}} {{1,3,5},{2,4}}=>{{1,5},{2,3,4}} {{1,3},{2,4,5}}=>{{1,4,5},{2,3}} {{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}} {{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}} {{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}} {{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}} {{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}} {{1,4,5},{2,3}}=>{{1,3},{2,4,5}} {{1,4},{2,3,5}}=>{{1,3,4},{2,5}} {{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}} {{1,5},{2,3,4}}=>{{1,3,5},{2,4}} {{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}}=>{{1,3},{2,5},{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}}=>{{1,4,5},{2},{3}} {{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}} {{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}} {{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}} {{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}} {{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}} {{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}} {{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}} {{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}} {{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}} {{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},{2,5},{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}}=>{{1,2,3,4,5,6}} {{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}} {{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}} {{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}} {{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}} {{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}} {{1,2,3,6},{4,5}}=>{{1,2,3,5},{4,6}} {{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}} {{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}} {{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}} {{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}} {{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}} {{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}} {{1,2,4,6},{3,5}}=>{{1,2,6},{3,4,5}} {{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}} {{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}} {{1,2,4,6},{3},{5}}=>{{1,2,4,6},{3},{5}} {{1,2,4},{3,6},{5}}=>{{1,2,6},{3,4},{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}} {{1,2,5,6},{3,4}}=>{{1,2,4},{3,5,6}} {{1,2,5},{3,4,6}}=>{{1,2,4,5},{3,6}} {{1,2,5},{3,4},{6}}=>{{1,2,4},{3,5},{6}} {{1,2,6},{3,4,5}}=>{{1,2,4,6},{3,5}} {{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}}=>{{1,2,4},{3,6},{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}}=>{{1,2,5,6},{3},{4}} {{1,2,5},{3,6},{4}}=>{{1,2,6},{3,5},{4}} {{1,2,5},{3},{4,6}}=>{{1,2,6},{3},{4,5}} {{1,2,5},{3},{4},{6}}=>{{1,2,5},{3},{4},{6}} {{1,2,6},{3,5},{4}}=>{{1,2,5},{3,6},{4}} {{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}} {{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}} {{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}} {{1,2,6},{3},{4,5}}=>{{1,2,5},{3},{4,6}} {{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}} {{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}} {{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}} {{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}} {{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}} {{1,3,4,5},{2,6}}=>{{1,4,6},{2,3,5}} {{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}} {{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}} {{1,3,4},{2,5,6}}=>{{1,4},{2,3,5,6}} {{1,3,4},{2,5},{6}}=>{{1,4},{2,3,5},{6}} {{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}} {{1,3,4},{2,6},{5}}=>{{1,4},{2,3,6},{5}} {{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}} {{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}} {{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}} {{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}} {{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}} {{1,3,6},{2,4,5}}=>{{1,5},{2,3,4,6}} {{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}} {{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}} {{1,3,6},{2,4},{5}}=>{{1,6},{2,3,4},{5}} {{1,3},{2,4,6},{5}}=>{{1,4,6},{2,3},{5}} {{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}} {{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}} {{1,3,5,6},{2},{4}}=>{{1,3,5,6},{2},{4}} {{1,3,5},{2,6},{4}}=>{{1,5},{2,3,6},{4}} {{1,3,5},{2},{4,6}}=>{{1,3,6},{2},{4,5}} {{1,3,5},{2},{4},{6}}=>{{1,3,5},{2},{4},{6}} {{1,3,6},{2,5},{4}}=>{{1,6},{2,3,5},{4}} {{1,3},{2,5,6},{4}}=>{{1,5,6},{2,3},{4}} {{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}} {{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}} {{1,3,6},{2},{4,5}}=>{{1,3,5},{2},{4,6}} {{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}} {{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}}=>{{1,3,6},{2},{4},{5}} {{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{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}} {{1,4,5,6},{2,3}}=>{{1,3},{2,4,5,6}} {{1,4,5},{2,3,6}}=>{{1,3,4,6},{2,5}} {{1,4,5},{2,3},{6}}=>{{1,3},{2,4,5},{6}} {{1,4,6},{2,3,5}}=>{{1,3,4,5},{2,6}} {{1,4},{2,3,5,6}}=>{{1,3,4},{2,5,6}} {{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}} {{1,4,6},{2,3},{5}}=>{{1,3},{2,4,6},{5}} {{1,4},{2,3,6},{5}}=>{{1,3,4},{2,6},{5}} {{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}} {{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}} {{1,5,6},{2,3,4}}=>{{1,3,5,6},{2,4}} {{1,5},{2,3,4,6}}=>{{1,3,6},{2,4,5}} {{1,5},{2,3,4},{6}}=>{{1,3,5},{2,4},{6}} {{1,6},{2,3,4,5}}=>{{1,3,5},{2,4,6}} {{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}} {{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}} {{1,6},{2,3,4},{5}}=>{{1,3,6},{2,4},{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}}=>{{1,3},{2,5,6},{4}} {{1,5},{2,3,6},{4}}=>{{1,3,5},{2,6},{4}} {{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}} {{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}} {{1,6},{2,3,5},{4}}=>{{1,3,6},{2,5},{4}} {{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}} {{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}} {{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}} {{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}} {{1},{2,3,6},{4,5}}=>{{1},{2,3,5},{4,6}} {{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}} {{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}} {{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{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}}=>{{1,4,5,6},{2},{3}} {{1,4,5},{2,6},{3}}=>{{1,5},{2,4,6},{3}} {{1,4,5},{2},{3,6}}=>{{1,5},{2},{3,4,6}} {{1,4,5},{2},{3},{6}}=>{{1,4,5},{2},{3},{6}} {{1,4,6},{2,5},{3}}=>{{1,6},{2,4,5},{3}} {{1,4},{2,5,6},{3}}=>{{1,5,6},{2,4},{3}} {{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}} {{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}} {{1,4,6},{2},{3,5}}=>{{1,6},{2},{3,4,5}} {{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}} {{1,4},{2},{3,5,6}}=>{{1,5,6},{2},{3,4}} {{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}} {{1,4,6},{2},{3},{5}}=>{{1,4,6},{2},{3},{5}} {{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}} {{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{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},{2,4},{3}}=>{{1,4},{2,5,6},{3}} {{1,5},{2,4,6},{3}}=>{{1,4,5},{2,6},{3}} {{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}} {{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}} {{1,6},{2,4,5},{3}}=>{{1,4,6},{2,5},{3}} {{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}} {{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}} {{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}} {{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}} {{1},{2,4,6},{3,5}}=>{{1},{2,6},{3,4,5}} {{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}} {{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}} {{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}} {{1},{2,4,6},{3},{5}}=>{{1},{2,4,6},{3},{5}} {{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{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}}=>{{1,4},{2},{3,5,6}} {{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}} {{1,5},{2},{3,4,6}}=>{{1,4,5},{2},{3,6}} {{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}} {{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}} {{1},{2,5,6},{3,4}}=>{{1},{2,4},{3,5,6}} {{1},{2,5},{3,4,6}}=>{{1},{2,4,5},{3,6}} {{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}} {{1,6},{2},{3,4,5}}=>{{1,4,6},{2},{3,5}} {{1},{2,6},{3,4,5}}=>{{1},{2,4,6},{3,5}} {{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}}=>{{1,4},{2},{3,6},{5}} {{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{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},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}} {{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}} {{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}} {{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}} {{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}} {{1},{2,5,6},{3},{4}}=>{{1},{2,5,6},{3},{4}} {{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}} {{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}} {{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}} {{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}} {{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}} {{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}} {{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}} {{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}} {{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}} {{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}} {{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}} {{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}} {{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}} {{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{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},{4,6},{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}}=>{{1,2,3,4,5,6,7}} {{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}} {{1,2,3,4,5,7},{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}} {{1,2,3,4,6,7},{5}}=>{{1,2,3,4,6,7},{5}} {{1,2,3,4,6},{5,7}}=>{{1,2,3,4,7},{5,6}} {{1,2,3,4,6},{5},{7}}=>{{1,2,3,4,6},{5},{7}} {{1,2,3,4,7},{5,6}}=>{{1,2,3,4,6},{5,7}} {{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}} {{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}} {{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}} {{1,2,3,5,6},{4,7}}=>{{1,2,3,6},{4,5,7}} {{1,2,3,5,6},{4},{7}}=>{{1,2,3,5,6},{4},{7}} {{1,2,3,5,7},{4,6}}=>{{1,2,3,7},{4,5,6}} {{1,2,3,5},{4,6,7}}=>{{1,2,3,6,7},{4,5}} {{1,2,3,5},{4,6},{7}}=>{{1,2,3,6},{4,5},{7}} {{1,2,3,5,7},{4},{6}}=>{{1,2,3,5,7},{4},{6}} {{1,2,3,5},{4,7},{6}}=>{{1,2,3,7},{4,5},{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}} {{1,2,3,6,7},{4,5}}=>{{1,2,3,5},{4,6,7}} {{1,2,3,6},{4,5,7}}=>{{1,2,3,5,6},{4,7}} {{1,2,3,6},{4,5},{7}}=>{{1,2,3,5},{4,6},{7}} {{1,2,3,7},{4,5,6}}=>{{1,2,3,5,7},{4,6}} {{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}} {{1,2,3,7},{4,5},{6}}=>{{1,2,3,5},{4,7},{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}} {{1,2,3,6,7},{4},{5}}=>{{1,2,3,6,7},{4},{5}} {{1,2,3,6},{4,7},{5}}=>{{1,2,3,7},{4,6},{5}} {{1,2,3,6},{4},{5,7}}=>{{1,2,3,7},{4},{5,6}} {{1,2,3,6},{4},{5},{7}}=>{{1,2,3,6},{4},{5},{7}} {{1,2,3,7},{4,6},{5}}=>{{1,2,3,6},{4,7},{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},{4,7},{5,6}} {{1,2,3},{4,6},{5},{7}}=>{{1,2,3},{4,6},{5},{7}} {{1,2,3,7},{4},{5,6}}=>{{1,2,3,6},{4},{5,7}} {{1,2,3},{4,7},{5,6}}=>{{1,2,3},{4,6},{5,7}} {{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}} {{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}} {{1,2,4,5,6,7},{3}}=>{{1,2,4,5,6,7},{3}} {{1,2,4,5,6},{3,7}}=>{{1,2,5,7},{3,4,6}} {{1,2,4,5,6},{3},{7}}=>{{1,2,4,5,6},{3},{7}} {{1,2,4,5,7},{3,6}}=>{{1,2,5,6},{3,4,7}} {{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}} {{1,2,4,5},{3,6},{7}}=>{{1,2,5},{3,4,6},{7}} {{1,2,4,5,7},{3},{6}}=>{{1,2,4,5,7},{3},{6}} {{1,2,4,5},{3,7},{6}}=>{{1,2,5},{3,4,7},{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}} {{1,2,4,6,7},{3,5}}=>{{1,2,6,7},{3,4,5}} {{1,2,4,6},{3,5,7}}=>{{1,2,7},{3,4,5,6}} {{1,2,4,6},{3,5},{7}}=>{{1,2,6},{3,4,5},{7}} {{1,2,4,7},{3,5,6}}=>{{1,2,6},{3,4,5,7}} {{1,2,4},{3,5,6,7}}=>{{1,2,5,6,7},{3,4}} {{1,2,4},{3,5,6},{7}}=>{{1,2,5,6},{3,4},{7}} {{1,2,4,7},{3,5},{6}}=>{{1,2,7},{3,4,5},{6}} {{1,2,4},{3,5,7},{6}}=>{{1,2,5,7},{3,4},{6}} {{1,2,4},{3,5},{6,7}}=>{{1,2,5},{3,4},{6,7}} {{1,2,4},{3,5},{6},{7}}=>{{1,2,5},{3,4},{6},{7}} {{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}} {{1,2,4,6},{3,7},{5}}=>{{1,2,6},{3,4,7},{5}} {{1,2,4,6},{3},{5,7}}=>{{1,2,4,7},{3},{5,6}} {{1,2,4,6},{3},{5},{7}}=>{{1,2,4,6},{3},{5},{7}} {{1,2,4,7},{3,6},{5}}=>{{1,2,7},{3,4,6},{5}} {{1,2,4},{3,6,7},{5}}=>{{1,2,6,7},{3,4},{5}} {{1,2,4},{3,6},{5,7}}=>{{1,2,7},{3,4},{5,6}} {{1,2,4},{3,6},{5},{7}}=>{{1,2,6},{3,4},{5},{7}} {{1,2,4,7},{3},{5,6}}=>{{1,2,4,6},{3},{5,7}} {{1,2,4},{3,7},{5,6}}=>{{1,2,6},{3,4},{5,7}} {{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}} {{1,2,4,7},{3},{5},{6}}=>{{1,2,4,7},{3},{5},{6}} {{1,2,4},{3,7},{5},{6}}=>{{1,2,7},{3,4},{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}} {{1,2,5,6,7},{3,4}}=>{{1,2,4},{3,5,6,7}} {{1,2,5,6},{3,4,7}}=>{{1,2,4,5,7},{3,6}} {{1,2,5,6},{3,4},{7}}=>{{1,2,4},{3,5,6},{7}} {{1,2,5,7},{3,4,6}}=>{{1,2,4,5,6},{3,7}} {{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}} {{1,2,5},{3,4,6},{7}}=>{{1,2,4,5},{3,6},{7}} {{1,2,5,7},{3,4},{6}}=>{{1,2,4},{3,5,7},{6}} {{1,2,5},{3,4,7},{6}}=>{{1,2,4,5},{3,7},{6}} {{1,2,5},{3,4},{6,7}}=>{{1,2,4},{3,5},{6,7}} {{1,2,5},{3,4},{6},{7}}=>{{1,2,4},{3,5},{6},{7}} {{1,2,6,7},{3,4,5}}=>{{1,2,4,6,7},{3,5}} {{1,2,6},{3,4,5,7}}=>{{1,2,4,7},{3,5,6}} {{1,2,6},{3,4,5},{7}}=>{{1,2,4,6},{3,5},{7}} {{1,2,7},{3,4,5,6}}=>{{1,2,4,6},{3,5,7}} {{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}} {{1,2,7},{3,4,5},{6}}=>{{1,2,4,7},{3,5},{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}}=>{{1,2,4},{3,6,7},{5}} {{1,2,6},{3,4,7},{5}}=>{{1,2,4,6},{3,7},{5}} {{1,2,6},{3,4},{5,7}}=>{{1,2,4},{3,7},{5,6}} {{1,2,6},{3,4},{5},{7}}=>{{1,2,4},{3,6},{5},{7}} {{1,2,7},{3,4,6},{5}}=>{{1,2,4,7},{3,6},{5}} {{1,2},{3,4,6,7},{5}}=>{{1,2},{3,4,6,7},{5}} {{1,2},{3,4,6},{5,7}}=>{{1,2},{3,4,7},{5,6}} {{1,2},{3,4,6},{5},{7}}=>{{1,2},{3,4,6},{5},{7}} {{1,2,7},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7}} {{1,2},{3,4,7},{5,6}}=>{{1,2},{3,4,6},{5,7}} {{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}} {{1,2,7},{3,4},{5},{6}}=>{{1,2,4},{3,7},{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}}=>{{1,2,5,6,7},{3},{4}} {{1,2,5,6},{3,7},{4}}=>{{1,2,6},{3,5,7},{4}} {{1,2,5,6},{3},{4,7}}=>{{1,2,6},{3},{4,5,7}} {{1,2,5,6},{3},{4},{7}}=>{{1,2,5,6},{3},{4},{7}} {{1,2,5,7},{3,6},{4}}=>{{1,2,7},{3,5,6},{4}} {{1,2,5},{3,6,7},{4}}=>{{1,2,6,7},{3,5},{4}} {{1,2,5},{3,6},{4,7}}=>{{1,2,7},{3,6},{4,5}} {{1,2,5},{3,6},{4},{7}}=>{{1,2,6},{3,5},{4},{7}} {{1,2,5,7},{3},{4,6}}=>{{1,2,7},{3},{4,5,6}} {{1,2,5},{3,7},{4,6}}=>{{1,2,6},{3,7},{4,5}} {{1,2,5},{3},{4,6,7}}=>{{1,2,6,7},{3},{4,5}} {{1,2,5},{3},{4,6},{7}}=>{{1,2,6},{3},{4,5},{7}} {{1,2,5,7},{3},{4},{6}}=>{{1,2,5,7},{3},{4},{6}} {{1,2,5},{3,7},{4},{6}}=>{{1,2,7},{3,5},{4},{6}} {{1,2,5},{3},{4,7},{6}}=>{{1,2,7},{3},{4,5},{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}} {{1,2,6,7},{3,5},{4}}=>{{1,2,5},{3,6,7},{4}} {{1,2,6},{3,5,7},{4}}=>{{1,2,5,6},{3,7},{4}} {{1,2,6},{3,5},{4,7}}=>{{1,2,7},{3,5},{4,6}} {{1,2,6},{3,5},{4},{7}}=>{{1,2,5},{3,6},{4},{7}} {{1,2,7},{3,5,6},{4}}=>{{1,2,5,7},{3,6},{4}} {{1,2},{3,5,6,7},{4}}=>{{1,2},{3,5,6,7},{4}} {{1,2},{3,5,6},{4,7}}=>{{1,2},{3,6},{4,5,7}} {{1,2},{3,5,6},{4},{7}}=>{{1,2},{3,5,6},{4},{7}} {{1,2,7},{3,5},{4,6}}=>{{1,2,6},{3,5},{4,7}} {{1,2},{3,5,7},{4,6}}=>{{1,2},{3,7},{4,5,6}} {{1,2},{3,5},{4,6,7}}=>{{1,2},{3,6,7},{4,5}} {{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}} {{1,2,7},{3,5},{4},{6}}=>{{1,2,5},{3,7},{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},{3,7},{4,5},{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}}=>{{1,2,5},{3},{4,6,7}} {{1,2,6},{3,7},{4,5}}=>{{1,2,5},{3,7},{4,6}} {{1,2,6},{3},{4,5,7}}=>{{1,2,5,6},{3},{4,7}} {{1,2,6},{3},{4,5},{7}}=>{{1,2,5},{3},{4,6},{7}} {{1,2,7},{3,6},{4,5}}=>{{1,2,5},{3,6},{4,7}} {{1,2},{3,6,7},{4,5}}=>{{1,2},{3,5},{4,6,7}} {{1,2},{3,6},{4,5,7}}=>{{1,2},{3,5,6},{4,7}} {{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}} {{1,2,7},{3},{4,5,6}}=>{{1,2,5,7},{3},{4,6}} {{1,2},{3,7},{4,5,6}}=>{{1,2},{3,5,7},{4,6}} {{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}}=>{{1,2,5},{3},{4,7},{6}} {{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{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}}=>{{1,2,6,7},{3},{4},{5}} {{1,2,6},{3,7},{4},{5}}=>{{1,2,7},{3,6},{4},{5}} {{1,2,6},{3},{4,7},{5}}=>{{1,2,7},{3},{4,6},{5}} {{1,2,6},{3},{4},{5,7}}=>{{1,2,7},{3},{4},{5,6}} {{1,2,6},{3},{4},{5},{7}}=>{{1,2,6},{3},{4},{5},{7}} {{1,2,7},{3,6},{4},{5}}=>{{1,2,6},{3,7},{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},{3,7},{4,6},{5}} {{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}} {{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}} {{1,2,7},{3},{4,6},{5}}=>{{1,2,6},{3},{4,7},{5}} {{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{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},{4,7},{5,6}} {{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}} {{1,2,7},{3},{4},{5,6}}=>{{1,2,6},{3},{4},{5,7}} {{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}} {{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}} {{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}} {{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}} {{1,3,4,5,6,7},{2}}=>{{1,3,4,5,6,7},{2}} {{1,3,4,5,6},{2,7}}=>{{1,4,6},{2,3,5,7}} {{1,3,4,5,6},{2},{7}}=>{{1,3,4,5,6},{2},{7}} {{1,3,4,5,7},{2,6}}=>{{1,4,7},{2,3,5,6}} {{1,3,4,5},{2,6,7}}=>{{1,4,6,7},{2,3,5}} {{1,3,4,5},{2,6},{7}}=>{{1,4,6},{2,3,5},{7}} {{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}} {{1,3,4,5},{2,7},{6}}=>{{1,4,7},{2,3,5},{6}} {{1,3,4,5},{2},{6,7}}=>{{1,3,4,5},{2},{6,7}} {{1,3,4,5},{2},{6},{7}}=>{{1,3,4,5},{2},{6},{7}} {{1,3,4,6,7},{2,5}}=>{{1,4,5},{2,3,6,7}} {{1,3,4,6},{2,5,7}}=>{{1,4,5,6},{2,3,7}} {{1,3,4,6},{2,5},{7}}=>{{1,4,5},{2,3,6},{7}} {{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}} {{1,3,4},{2,5,6,7}}=>{{1,4},{2,3,5,6,7}} {{1,3,4},{2,5,6},{7}}=>{{1,4},{2,3,5,6},{7}} {{1,3,4,7},{2,5},{6}}=>{{1,4,5},{2,3,7},{6}} {{1,3,4},{2,5,7},{6}}=>{{1,4},{2,3,5,7},{6}} {{1,3,4},{2,5},{6,7}}=>{{1,4},{2,3,5},{6,7}} {{1,3,4},{2,5},{6},{7}}=>{{1,4},{2,3,5},{6},{7}} {{1,3,4,6,7},{2},{5}}=>{{1,3,4,6,7},{2},{5}} {{1,3,4,6},{2,7},{5}}=>{{1,4,7},{2,3,6},{5}} {{1,3,4,6},{2},{5,7}}=>{{1,3,4,7},{2},{5,6}} {{1,3,4,6},{2},{5},{7}}=>{{1,3,4,6},{2},{5},{7}} {{1,3,4,7},{2,6},{5}}=>{{1,4,6},{2,3,7},{5}} {{1,3,4},{2,6,7},{5}}=>{{1,4},{2,3,6,7},{5}} {{1,3,4},{2,6},{5,7}}=>{{1,4},{2,3,7},{5,6}} {{1,3,4},{2,6},{5},{7}}=>{{1,4},{2,3,6},{5},{7}} {{1,3,4,7},{2},{5,6}}=>{{1,3,4,6},{2},{5,7}} {{1,3,4},{2,7},{5,6}}=>{{1,4},{2,3,6},{5,7}} {{1,3,4},{2},{5,6,7}}=>{{1,3,4},{2},{5,6,7}} {{1,3,4},{2},{5,6},{7}}=>{{1,3,4},{2},{5,6},{7}} {{1,3,4,7},{2},{5},{6}}=>{{1,3,4,7},{2},{5},{6}} {{1,3,4},{2,7},{5},{6}}=>{{1,4},{2,3,7},{5},{6}} {{1,3,4},{2},{5,7},{6}}=>{{1,3,4},{2},{5,7},{6}} {{1,3,4},{2},{5},{6,7}}=>{{1,3,4},{2},{5},{6,7}} {{1,3,4},{2},{5},{6},{7}}=>{{1,3,4},{2},{5},{6},{7}} {{1,3,5,6,7},{2,4}}=>{{1,5,6,7},{2,3,4}} {{1,3,5,6},{2,4,7}}=>{{1,6},{2,3,4,5,7}} {{1,3,5,6},{2,4},{7}}=>{{1,5,6},{2,3,4},{7}} {{1,3,5,7},{2,4,6}}=>{{1,7},{2,3,4,5,6}} {{1,3,5},{2,4,6,7}}=>{{1,6,7},{2,3,4,5}} {{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}} {{1,3,5,7},{2,4},{6}}=>{{1,5,7},{2,3,4},{6}} {{1,3,5},{2,4,7},{6}}=>{{1,7},{2,3,4,5},{6}} {{1,3,5},{2,4},{6,7}}=>{{1,5},{2,3,4},{6,7}} {{1,3,5},{2,4},{6},{7}}=>{{1,5},{2,3,4},{6},{7}} {{1,3,6,7},{2,4,5}}=>{{1,5},{2,3,4,6,7}} {{1,3,6},{2,4,5,7}}=>{{1,5,6},{2,3,4,7}} {{1,3,6},{2,4,5},{7}}=>{{1,5},{2,3,4,6},{7}} {{1,3,7},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}} {{1,3},{2,4,5,6,7}}=>{{1,4,5,6,7},{2,3}} {{1,3},{2,4,5,6},{7}}=>{{1,4,5,6},{2,3},{7}} {{1,3,7},{2,4,5},{6}}=>{{1,5},{2,3,4,7},{6}} {{1,3},{2,4,5,7},{6}}=>{{1,4,5,7},{2,3},{6}} {{1,3},{2,4,5},{6,7}}=>{{1,4,5},{2,3},{6,7}} {{1,3},{2,4,5},{6},{7}}=>{{1,4,5},{2,3},{6},{7}} {{1,3,6,7},{2,4},{5}}=>{{1,6,7},{2,3,4},{5}} {{1,3,6},{2,4,7},{5}}=>{{1,7},{2,3,4,6},{5}} {{1,3,6},{2,4},{5,7}}=>{{1,7},{2,3,4},{5,6}} {{1,3,6},{2,4},{5},{7}}=>{{1,6},{2,3,4},{5},{7}} {{1,3,7},{2,4,6},{5}}=>{{1,6},{2,3,4,7},{5}} {{1,3},{2,4,6,7},{5}}=>{{1,4,6,7},{2,3},{5}} {{1,3},{2,4,6},{5,7}}=>{{1,4,7},{2,3},{5,6}} {{1,3},{2,4,6},{5},{7}}=>{{1,4,6},{2,3},{5},{7}} {{1,3,7},{2,4},{5,6}}=>{{1,6},{2,3,4},{5,7}} {{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}} {{1,3},{2,4},{5,6,7}}=>{{1,4},{2,3},{5,6,7}} {{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}} {{1,3,7},{2,4},{5},{6}}=>{{1,7},{2,3,4},{5},{6}} {{1,3},{2,4,7},{5},{6}}=>{{1,4,7},{2,3},{5},{6}} {{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}} {{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}} {{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}} {{1,3,5,6,7},{2},{4}}=>{{1,3,5,6,7},{2},{4}} {{1,3,5,6},{2,7},{4}}=>{{1,5,7},{2,3,6},{4}} {{1,3,5,6},{2},{4,7}}=>{{1,3,6},{2},{4,5,7}} {{1,3,5,6},{2},{4},{7}}=>{{1,3,5,6},{2},{4},{7}} {{1,3,5,7},{2,6},{4}}=>{{1,5,6},{2,3,7},{4}} {{1,3,5},{2,6,7},{4}}=>{{1,5},{2,3,6,7},{4}} {{1,3,5},{2,6},{4,7}}=>{{1,7},{2,3,5},{4,6}} {{1,3,5},{2,6},{4},{7}}=>{{1,5},{2,3,6},{4},{7}} {{1,3,5,7},{2},{4,6}}=>{{1,3,7},{2},{4,5,6}} {{1,3,5},{2,7},{4,6}}=>{{1,6},{2,3,5},{4,7}} {{1,3,5},{2},{4,6,7}}=>{{1,3,6,7},{2},{4,5}} {{1,3,5},{2},{4,6},{7}}=>{{1,3,6},{2},{4,5},{7}} {{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}} {{1,3,5},{2,7},{4},{6}}=>{{1,5},{2,3,7},{4},{6}} {{1,3,5},{2},{4,7},{6}}=>{{1,3,7},{2},{4,5},{6}} {{1,3,5},{2},{4},{6,7}}=>{{1,3,5},{2},{4},{6,7}} {{1,3,5},{2},{4},{6},{7}}=>{{1,3,5},{2},{4},{6},{7}} {{1,3,6,7},{2,5},{4}}=>{{1,6,7},{2,3,5},{4}} {{1,3,6},{2,5,7},{4}}=>{{1,7},{2,3,5,6},{4}} {{1,3,6},{2,5},{4,7}}=>{{1,7},{2,3,6},{4,5}} {{1,3,6},{2,5},{4},{7}}=>{{1,6},{2,3,5},{4},{7}} {{1,3,7},{2,5,6},{4}}=>{{1,6},{2,3,5,7},{4}} {{1,3},{2,5,6,7},{4}}=>{{1,5,6,7},{2,3},{4}} {{1,3},{2,5,6},{4,7}}=>{{1,6},{2,3},{4,5,7}} {{1,3},{2,5,6},{4},{7}}=>{{1,5,6},{2,3},{4},{7}} {{1,3,7},{2,5},{4,6}}=>{{1,6},{2,3,7},{4,5}} {{1,3},{2,5,7},{4,6}}=>{{1,7},{2,3},{4,5,6}} {{1,3},{2,5},{4,6,7}}=>{{1,6,7},{2,3},{4,5}} {{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}} {{1,3,7},{2,5},{4},{6}}=>{{1,7},{2,3,5},{4},{6}} {{1,3},{2,5,7},{4},{6}}=>{{1,5,7},{2,3},{4},{6}} {{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}} {{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}} {{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}} {{1,3,6,7},{2},{4,5}}=>{{1,3,5},{2},{4,6,7}} {{1,3,6},{2,7},{4,5}}=>{{1,5},{2,3,6},{4,7}} {{1,3,6},{2},{4,5,7}}=>{{1,3,5,6},{2},{4,7}} {{1,3,6},{2},{4,5},{7}}=>{{1,3,5},{2},{4,6},{7}} {{1,3,7},{2,6},{4,5}}=>{{1,5},{2,3,7},{4,6}} {{1,3},{2,6,7},{4,5}}=>{{1,5},{2,3},{4,6,7}} {{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,3},{4,7}} {{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}} {{1,3,7},{2},{4,5,6}}=>{{1,3,5,7},{2},{4,6}} {{1,3},{2,7},{4,5,6}}=>{{1,5,7},{2,3},{4,6}} {{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}}=>{{1,3,5},{2},{4,7},{6}} {{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{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}}=>{{1,3,6,7},{2},{4},{5}} {{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,3,7},{4},{5}} {{1,3,6},{2},{4,7},{5}}=>{{1,3,7},{2},{4,6},{5}} {{1,3,6},{2},{4},{5,7}}=>{{1,3,7},{2},{4},{5,6}} {{1,3,6},{2},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7}} {{1,3,7},{2,6},{4},{5}}=>{{1,7},{2,3,6},{4},{5}} {{1,3},{2,6,7},{4},{5}}=>{{1,6,7},{2,3},{4},{5}} {{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}} {{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}} {{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}} {{1,3,7},{2},{4,6},{5}}=>{{1,3,6},{2},{4,7},{5}} {{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}} {{1,3},{2},{4,6,7},{5}}=>{{1,3},{2},{4,6,7},{5}} {{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}} {{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}} {{1,3,7},{2},{4},{5,6}}=>{{1,3,6},{2},{4},{5,7}} {{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}} {{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}} {{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}}=>{{1,3,7},{2},{4},{5},{6}} {{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{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}} {{1,4,5,6,7},{2,3}}=>{{1,3},{2,4,5,6,7}} {{1,4,5,6},{2,3,7}}=>{{1,3,4,6},{2,5,7}} {{1,4,5,6},{2,3},{7}}=>{{1,3},{2,4,5,6},{7}} {{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}} {{1,4,5},{2,3,6,7}}=>{{1,3,4,6,7},{2,5}} {{1,4,5},{2,3,6},{7}}=>{{1,3,4,6},{2,5},{7}} {{1,4,5,7},{2,3},{6}}=>{{1,3},{2,4,5,7},{6}} {{1,4,5},{2,3,7},{6}}=>{{1,3,4,7},{2,5},{6}} {{1,4,5},{2,3},{6,7}}=>{{1,3},{2,4,5},{6,7}} {{1,4,5},{2,3},{6},{7}}=>{{1,3},{2,4,5},{6},{7}} {{1,4,6,7},{2,3,5}}=>{{1,3,4,5},{2,6,7}} {{1,4,6},{2,3,5,7}}=>{{1,3,4,5,6},{2,7}} {{1,4,6},{2,3,5},{7}}=>{{1,3,4,5},{2,6},{7}} {{1,4,7},{2,3,5,6}}=>{{1,3,4,5,7},{2,6}} {{1,4},{2,3,5,6,7}}=>{{1,3,4},{2,5,6,7}} {{1,4},{2,3,5,6},{7}}=>{{1,3,4},{2,5,6},{7}} {{1,4,7},{2,3,5},{6}}=>{{1,3,4,5},{2,7},{6}} {{1,4},{2,3,5,7},{6}}=>{{1,3,4},{2,5,7},{6}} {{1,4},{2,3,5},{6,7}}=>{{1,3,4},{2,5},{6,7}} {{1,4},{2,3,5},{6},{7}}=>{{1,3,4},{2,5},{6},{7}} {{1,4,6,7},{2,3},{5}}=>{{1,3},{2,4,6,7},{5}} {{1,4,6},{2,3,7},{5}}=>{{1,3,4,7},{2,6},{5}} {{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}} {{1,4,6},{2,3},{5},{7}}=>{{1,3},{2,4,6},{5},{7}} {{1,4,7},{2,3,6},{5}}=>{{1,3,4,6},{2,7},{5}} {{1,4},{2,3,6,7},{5}}=>{{1,3,4},{2,6,7},{5}} {{1,4},{2,3,6},{5,7}}=>{{1,3,4},{2,7},{5,6}} {{1,4},{2,3,6},{5},{7}}=>{{1,3,4},{2,6},{5},{7}} {{1,4,7},{2,3},{5,6}}=>{{1,3},{2,4,6},{5,7}} {{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,6},{5,7}} {{1,4},{2,3},{5,6,7}}=>{{1,3},{2,4},{5,6,7}} {{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}} {{1,4,7},{2,3},{5},{6}}=>{{1,3},{2,4,7},{5},{6}} {{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,7},{5},{6}} {{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}} {{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}} {{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}} {{1,5,6,7},{2,3,4}}=>{{1,3,5,6,7},{2,4}} {{1,5,6},{2,3,4,7}}=>{{1,3,6},{2,4,5,7}} {{1,5,6},{2,3,4},{7}}=>{{1,3,5,6},{2,4},{7}} {{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}} {{1,5},{2,3,4,6,7}}=>{{1,3,6,7},{2,4,5}} {{1,5},{2,3,4,6},{7}}=>{{1,3,6},{2,4,5},{7}} {{1,5,7},{2,3,4},{6}}=>{{1,3,5,7},{2,4},{6}} {{1,5},{2,3,4,7},{6}}=>{{1,3,7},{2,4,5},{6}} {{1,5},{2,3,4},{6,7}}=>{{1,3,5},{2,4},{6,7}} {{1,5},{2,3,4},{6},{7}}=>{{1,3,5},{2,4},{6},{7}} {{1,6,7},{2,3,4,5}}=>{{1,3,5},{2,4,6,7}} {{1,6},{2,3,4,5,7}}=>{{1,3,5,6},{2,4,7}} {{1,6},{2,3,4,5},{7}}=>{{1,3,5},{2,4,6},{7}} {{1,7},{2,3,4,5,6}}=>{{1,3,5,7},{2,4,6}} {{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}}=>{{1,3,5},{2,4,7},{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}}=>{{1,3,6,7},{2,4},{5}} {{1,6},{2,3,4,7},{5}}=>{{1,3,7},{2,4,6},{5}} {{1,6},{2,3,4},{5,7}}=>{{1,3,7},{2,4},{5,6}} {{1,6},{2,3,4},{5},{7}}=>{{1,3,6},{2,4},{5},{7}} {{1,7},{2,3,4,6},{5}}=>{{1,3,6},{2,4,7},{5}} {{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}} {{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}} {{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}} {{1,7},{2,3,4},{5,6}}=>{{1,3,6},{2,4},{5,7}} {{1},{2,3,4,7},{5,6}}=>{{1},{2,3,4,6},{5,7}} {{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}} {{1,7},{2,3,4},{5},{6}}=>{{1,3,7},{2,4},{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}}=>{{1,3},{2,5,6,7},{4}} {{1,5,6},{2,3,7},{4}}=>{{1,3,5,7},{2,6},{4}} {{1,5,6},{2,3},{4,7}}=>{{1,3},{2,6},{4,5,7}} {{1,5,6},{2,3},{4},{7}}=>{{1,3},{2,5,6},{4},{7}} {{1,5,7},{2,3,6},{4}}=>{{1,3,5,6},{2,7},{4}} {{1,5},{2,3,6,7},{4}}=>{{1,3,5},{2,6,7},{4}} {{1,5},{2,3,6},{4,7}}=>{{1,3,6},{2,7},{4,5}} {{1,5},{2,3,6},{4},{7}}=>{{1,3,5},{2,6},{4},{7}} {{1,5,7},{2,3},{4,6}}=>{{1,3},{2,7},{4,5,6}} {{1,5},{2,3,7},{4,6}}=>{{1,3,7},{2,6},{4,5}} {{1,5},{2,3},{4,6,7}}=>{{1,3},{2,6,7},{4,5}} {{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}} {{1,5,7},{2,3},{4},{6}}=>{{1,3},{2,5,7},{4},{6}} {{1,5},{2,3,7},{4},{6}}=>{{1,3,5},{2,7},{4},{6}} {{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}} {{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}} {{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}} {{1,6,7},{2,3,5},{4}}=>{{1,3,6,7},{2,5},{4}} {{1,6},{2,3,5,7},{4}}=>{{1,3,7},{2,5,6},{4}} {{1,6},{2,3,5},{4,7}}=>{{1,3,5},{2,7},{4,6}} {{1,6},{2,3,5},{4},{7}}=>{{1,3,6},{2,5},{4},{7}} {{1,7},{2,3,5,6},{4}}=>{{1,3,6},{2,5,7},{4}} {{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}} {{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}} {{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}} {{1,7},{2,3,5},{4,6}}=>{{1,3,5},{2,6},{4,7}} {{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}} {{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}} {{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}} {{1,7},{2,3,5},{4},{6}}=>{{1,3,7},{2,5},{4},{6}} {{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}} {{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{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}}=>{{1,3},{2,5},{4,6,7}} {{1,6},{2,3,7},{4,5}}=>{{1,3,7},{2,5},{4,6}} {{1,6},{2,3},{4,5,7}}=>{{1,3},{2,5,6},{4,7}} {{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}} {{1,7},{2,3,6},{4,5}}=>{{1,3,6},{2,5},{4,7}} {{1},{2,3,6,7},{4,5}}=>{{1},{2,3,5},{4,6,7}} {{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}} {{1},{2,3,6},{4,5},{7}}=>{{1},{2,3,5},{4,6},{7}} {{1,7},{2,3},{4,5,6}}=>{{1,3},{2,5,7},{4,6}} {{1},{2,3,7},{4,5,6}}=>{{1},{2,3,5,7},{4,6}} {{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}}=>{{1,3},{2,5},{4,7},{6}} {{1},{2,3,7},{4,5},{6}}=>{{1},{2,3,5},{4,7},{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}}=>{{1,3},{2,6,7},{4},{5}} {{1,6},{2,3,7},{4},{5}}=>{{1,3,6},{2,7},{4},{5}} {{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}} {{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}} {{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}} {{1,7},{2,3,6},{4},{5}}=>{{1,3,7},{2,6},{4},{5}} {{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}} {{1},{2,3,6},{4,7},{5}}=>{{1},{2,3,7},{4,6},{5}} {{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}} {{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}} {{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}} {{1},{2,3,7},{4,6},{5}}=>{{1},{2,3,6},{4,7},{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},{4,7},{5,6}} {{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}} {{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}} {{1},{2,3,7},{4},{5,6}}=>{{1},{2,3,6},{4},{5,7}} {{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}} {{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}} {{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{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}}=>{{1,4,5,6,7},{2},{3}} {{1,4,5,6},{2,7},{3}}=>{{1,5,7},{2,4,6},{3}} {{1,4,5,6},{2},{3,7}}=>{{1,5,7},{2},{3,4,6}} {{1,4,5,6},{2},{3},{7}}=>{{1,4,5,6},{2},{3},{7}} {{1,4,5,7},{2,6},{3}}=>{{1,5,6},{2,4,7},{3}} {{1,4,5},{2,6,7},{3}}=>{{1,5},{2,4,6,7},{3}} {{1,4,5},{2,6},{3,7}}=>{{1,5},{2,7},{3,4,6}} {{1,4,5},{2,6},{3},{7}}=>{{1,5},{2,4,6},{3},{7}} {{1,4,5,7},{2},{3,6}}=>{{1,5,6},{2},{3,4,7}} {{1,4,5},{2,7},{3,6}}=>{{1,5},{2,6},{3,4,7}} {{1,4,5},{2},{3,6,7}}=>{{1,5},{2},{3,4,6,7}} {{1,4,5},{2},{3,6},{7}}=>{{1,5},{2},{3,4,6},{7}} {{1,4,5,7},{2},{3},{6}}=>{{1,4,5,7},{2},{3},{6}} {{1,4,5},{2,7},{3},{6}}=>{{1,5},{2,4,7},{3},{6}} {{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{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},{2,5},{3}}=>{{1,6,7},{2,4,5},{3}} {{1,4,6},{2,5,7},{3}}=>{{1,7},{2,4,5,6},{3}} {{1,4,6},{2,5},{3,7}}=>{{1,6},{2,7},{3,4,5}} {{1,4,6},{2,5},{3},{7}}=>{{1,6},{2,4,5},{3},{7}} {{1,4,7},{2,5,6},{3}}=>{{1,6},{2,4,5,7},{3}} {{1,4},{2,5,6,7},{3}}=>{{1,5,6,7},{2,4},{3}} {{1,4},{2,5,6},{3,7}}=>{{1,6},{2,5,7},{3,4}} {{1,4},{2,5,6},{3},{7}}=>{{1,5,6},{2,4},{3},{7}} {{1,4,7},{2,5},{3,6}}=>{{1,7},{2,6},{3,4,5}} {{1,4},{2,5,7},{3,6}}=>{{1,7},{2,5,6},{3,4}} {{1,4},{2,5},{3,6,7}}=>{{1,6,7},{2,5},{3,4}} {{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}} {{1,4,7},{2,5},{3},{6}}=>{{1,7},{2,4,5},{3},{6}} {{1,4},{2,5,7},{3},{6}}=>{{1,5,7},{2,4},{3},{6}} {{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}} {{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}} {{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}} {{1,4,6,7},{2},{3,5}}=>{{1,6,7},{2},{3,4,5}} {{1,4,6},{2,7},{3,5}}=>{{1,6},{2,5},{3,4,7}} {{1,4,6},{2},{3,5,7}}=>{{1,7},{2},{3,4,5,6}} {{1,4,6},{2},{3,5},{7}}=>{{1,6},{2},{3,4,5},{7}} {{1,4,7},{2,6},{3,5}}=>{{1,7},{2,5},{3,4,6}} {{1,4},{2,6,7},{3,5}}=>{{1,5},{2,6,7},{3,4}} {{1,4},{2,6},{3,5,7}}=>{{1,5,6},{2,7},{3,4}} {{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}} {{1,4,7},{2},{3,5,6}}=>{{1,6},{2},{3,4,5,7}} {{1,4},{2,7},{3,5,6}}=>{{1,5,7},{2,6},{3,4}} {{1,4},{2},{3,5,6,7}}=>{{1,5,6,7},{2},{3,4}} {{1,4},{2},{3,5,6},{7}}=>{{1,5,6},{2},{3,4},{7}} {{1,4,7},{2},{3,5},{6}}=>{{1,7},{2},{3,4,5},{6}} {{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}} {{1,4},{2},{3,5,7},{6}}=>{{1,5,7},{2},{3,4},{6}} {{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}} {{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}} {{1,4,6,7},{2},{3},{5}}=>{{1,4,6,7},{2},{3},{5}} {{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}} {{1,4,6},{2},{3,7},{5}}=>{{1,6},{2},{3,4,7},{5}} {{1,4,6},{2},{3},{5,7}}=>{{1,4,7},{2},{3},{5,6}} {{1,4,6},{2},{3},{5},{7}}=>{{1,4,6},{2},{3},{5},{7}} {{1,4,7},{2,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}} {{1,4},{2,6,7},{3},{5}}=>{{1,6,7},{2,4},{3},{5}} {{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}} {{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}} {{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}} {{1,4,7},{2},{3,6},{5}}=>{{1,7},{2},{3,4,6},{5}} {{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}} {{1,4},{2},{3,6,7},{5}}=>{{1,6,7},{2},{3,4},{5}} {{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}} {{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}} {{1,4,7},{2},{3},{5,6}}=>{{1,4,6},{2},{3},{5,7}} {{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}} {{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}} {{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},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}} {{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{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},{2,4},{3}}=>{{1,4},{2,5,6,7},{3}} {{1,5,6},{2,4,7},{3}}=>{{1,4,5,7},{2,6},{3}} {{1,5,6},{2,4},{3,7}}=>{{1,6},{2,4},{3,5,7}} {{1,5,6},{2,4},{3},{7}}=>{{1,4},{2,5,6},{3},{7}} {{1,5,7},{2,4,6},{3}}=>{{1,4,5,6},{2,7},{3}} {{1,5},{2,4,6,7},{3}}=>{{1,4,5},{2,6,7},{3}} {{1,5},{2,4,6},{3,7}}=>{{1,6},{2,4,5},{3,7}} {{1,5},{2,4,6},{3},{7}}=>{{1,4,5},{2,6},{3},{7}} {{1,5,7},{2,4},{3,6}}=>{{1,7},{2,4},{3,5,6}} {{1,5},{2,4,7},{3,6}}=>{{1,7},{2,4,5},{3,6}} {{1,5},{2,4},{3,6,7}}=>{{1,6,7},{2,4},{3,5}} {{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}} {{1,5,7},{2,4},{3},{6}}=>{{1,4},{2,5,7},{3},{6}} {{1,5},{2,4,7},{3},{6}}=>{{1,4,5},{2,7},{3},{6}} {{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}} {{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}} {{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}} {{1,6,7},{2,4,5},{3}}=>{{1,4,6,7},{2,5},{3}} {{1,6},{2,4,5,7},{3}}=>{{1,4,7},{2,5,6},{3}} {{1,6},{2,4,5},{3,7}}=>{{1,5},{2,4,6},{3,7}} {{1,6},{2,4,5},{3},{7}}=>{{1,4,6},{2,5},{3},{7}} {{1,7},{2,4,5,6},{3}}=>{{1,4,6},{2,5,7},{3}} {{1},{2,4,5,6,7},{3}}=>{{1},{2,4,5,6,7},{3}} {{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}} {{1},{2,4,5,6},{3},{7}}=>{{1},{2,4,5,6},{3},{7}} {{1,7},{2,4,5},{3,6}}=>{{1,5},{2,4,7},{3,6}} {{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}} {{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}} {{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}} {{1,7},{2,4,5},{3},{6}}=>{{1,4,7},{2,5},{3},{6}} {{1},{2,4,5,7},{3},{6}}=>{{1},{2,4,5,7},{3},{6}} {{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{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}}=>{{1,5},{2,4},{3,6,7}} {{1,6},{2,4,7},{3,5}}=>{{1,7},{2,4,6},{3,5}} {{1,6},{2,4},{3,5,7}}=>{{1,5,6},{2,4},{3,7}} {{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}} {{1,7},{2,4,6},{3,5}}=>{{1,6},{2,4,7},{3,5}} {{1},{2,4,6,7},{3,5}}=>{{1},{2,6,7},{3,4,5}} {{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}} {{1},{2,4,6},{3,5},{7}}=>{{1},{2,6},{3,4,5},{7}} {{1,7},{2,4},{3,5,6}}=>{{1,5,7},{2,4},{3,6}} {{1},{2,4,7},{3,5,6}}=>{{1},{2,6},{3,4,5,7}} {{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}} {{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}} {{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}} {{1},{2,4,7},{3,5},{6}}=>{{1},{2,7},{3,4,5},{6}} {{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}} {{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}} {{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}} {{1,6,7},{2,4},{3},{5}}=>{{1,4},{2,6,7},{3},{5}} {{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}} {{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}} {{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}} {{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}} {{1,7},{2,4,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}} {{1},{2,4,6,7},{3},{5}}=>{{1},{2,4,6,7},{3},{5}} {{1},{2,4,6},{3,7},{5}}=>{{1},{2,6},{3,4,7},{5}} {{1},{2,4,6},{3},{5,7}}=>{{1},{2,4,7},{3},{5,6}} {{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}} {{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}} {{1},{2,4,7},{3,6},{5}}=>{{1},{2,7},{3,4,6},{5}} {{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}} {{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}} {{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}} {{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}} {{1},{2,4,7},{3},{5,6}}=>{{1},{2,4,6},{3},{5,7}} {{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}} {{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}}=>{{1,4},{2,7},{3},{5},{6}} {{1},{2,4,7},{3},{5},{6}}=>{{1},{2,4,7},{3},{5},{6}} {{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{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}}=>{{1,4},{2},{3,5,6,7}} {{1,5,6},{2,7},{3,4}}=>{{1,4},{2,6},{3,5,7}} {{1,5,6},{2},{3,4,7}}=>{{1,4,5,7},{2},{3,6}} {{1,5,6},{2},{3,4},{7}}=>{{1,4},{2},{3,5,6},{7}} {{1,5,7},{2,6},{3,4}}=>{{1,4},{2,7},{3,5,6}} {{1,5},{2,6,7},{3,4}}=>{{1,4},{2,6,7},{3,5}} {{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,7},{3,6}} {{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}} {{1,5,7},{2},{3,4,6}}=>{{1,4,5,6},{2},{3,7}} {{1,5},{2,7},{3,4,6}}=>{{1,4,5},{2,6},{3,7}} {{1,5},{2},{3,4,6,7}}=>{{1,4,5},{2},{3,6,7}} {{1,5},{2},{3,4,6},{7}}=>{{1,4,5},{2},{3,6},{7}} {{1,5,7},{2},{3,4},{6}}=>{{1,4},{2},{3,5,7},{6}} {{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}} {{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}} {{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}} {{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}} {{1,6,7},{2,5},{3,4}}=>{{1,4},{2,5},{3,6,7}} {{1,6},{2,5,7},{3,4}}=>{{1,4},{2,5,6},{3,7}} {{1,6},{2,5},{3,4,7}}=>{{1,4,6},{2,7},{3,5}} {{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}} {{1,7},{2,5,6},{3,4}}=>{{1,4},{2,5,7},{3,6}} {{1},{2,5,6,7},{3,4}}=>{{1},{2,4},{3,5,6,7}} {{1},{2,5,6},{3,4,7}}=>{{1},{2,4,5,7},{3,6}} {{1},{2,5,6},{3,4},{7}}=>{{1},{2,4},{3,5,6},{7}} {{1,7},{2,5},{3,4,6}}=>{{1,4,7},{2,6},{3,5}} {{1},{2,5,7},{3,4,6}}=>{{1},{2,4,5,6},{3,7}} {{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}} {{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}} {{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}} {{1},{2,5,7},{3,4},{6}}=>{{1},{2,4},{3,5,7},{6}} {{1},{2,5},{3,4,7},{6}}=>{{1},{2,4,5},{3,7},{6}} {{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}} {{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}} {{1,6,7},{2},{3,4,5}}=>{{1,4,6,7},{2},{3,5}} {{1,6},{2,7},{3,4,5}}=>{{1,4,6},{2,5},{3,7}} {{1,6},{2},{3,4,5,7}}=>{{1,4,7},{2},{3,5,6}} {{1,6},{2},{3,4,5},{7}}=>{{1,4,6},{2},{3,5},{7}} {{1,7},{2,6},{3,4,5}}=>{{1,4,7},{2,5},{3,6}} {{1},{2,6,7},{3,4,5}}=>{{1},{2,4,6,7},{3,5}} {{1},{2,6},{3,4,5,7}}=>{{1},{2,4,7},{3,5,6}} {{1},{2,6},{3,4,5},{7}}=>{{1},{2,4,6},{3,5},{7}} {{1,7},{2},{3,4,5,6}}=>{{1,4,6},{2},{3,5,7}} {{1},{2,7},{3,4,5,6}}=>{{1},{2,4,6},{3,5,7}} {{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}} {{1,7},{2},{3,4,5},{6}}=>{{1,4,7},{2},{3,5},{6}} {{1},{2,7},{3,4,5},{6}}=>{{1},{2,4,7},{3,5},{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}}=>{{1,4},{2},{3,6,7},{5}} {{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}} {{1,6},{2},{3,4,7},{5}}=>{{1,4,6},{2},{3,7},{5}} {{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}} {{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}} {{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}} {{1},{2,6,7},{3,4},{5}}=>{{1},{2,4},{3,6,7},{5}} {{1},{2,6},{3,4,7},{5}}=>{{1},{2,4,6},{3,7},{5}} {{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}} {{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}} {{1,7},{2},{3,4,6},{5}}=>{{1,4,7},{2},{3,6},{5}} {{1},{2,7},{3,4,6},{5}}=>{{1},{2,4,7},{3,6},{5}} {{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}} {{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}} {{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}} {{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}} {{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}} {{1},{2},{3,4,7},{5,6}}=>{{1},{2},{3,4,6},{5,7}} {{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}} {{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}} {{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{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},{2,7},{3},{4}}=>{{1,6},{2,5,7},{3},{4}} {{1,5,6},{2},{3,7},{4}}=>{{1,6},{2},{3,5,7},{4}} {{1,5,6},{2},{3},{4,7}}=>{{1,6},{2},{3},{4,5,7}} {{1,5,6},{2},{3},{4},{7}}=>{{1,5,6},{2},{3},{4},{7}} {{1,5,7},{2,6},{3},{4}}=>{{1,7},{2,5,6},{3},{4}} {{1,5},{2,6,7},{3},{4}}=>{{1,6,7},{2,5},{3},{4}} {{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}} {{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}} {{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}} {{1,5,7},{2},{3,6},{4}}=>{{1,7},{2},{3,5,6},{4}} {{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}} {{1,5},{2},{3,6,7},{4}}=>{{1,6,7},{2},{3,5},{4}} {{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}} {{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}} {{1,5,7},{2},{3},{4,6}}=>{{1,7},{2},{3},{4,5,6}} {{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}} {{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}} {{1,5},{2},{3},{4,6,7}}=>{{1,6,7},{2},{3},{4,5}} {{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}} {{1,5,7},{2},{3},{4},{6}}=>{{1,5,7},{2},{3},{4},{6}} {{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}} {{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}} {{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{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},{2,5},{3},{4}}=>{{1,5},{2,6,7},{3},{4}} {{1,6},{2,5,7},{3},{4}}=>{{1,5,6},{2,7},{3},{4}} {{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}} {{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}} {{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}} {{1,7},{2,5,6},{3},{4}}=>{{1,5,7},{2,6},{3},{4}} {{1},{2,5,6,7},{3},{4}}=>{{1},{2,5,6,7},{3},{4}} {{1},{2,5,6},{3,7},{4}}=>{{1},{2,6},{3,5,7},{4}} {{1},{2,5,6},{3},{4,7}}=>{{1},{2,6},{3},{4,5,7}} {{1},{2,5,6},{3},{4},{7}}=>{{1},{2,5,6},{3},{4},{7}} {{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}} {{1},{2,5,7},{3,6},{4}}=>{{1},{2,7},{3,5,6},{4}} {{1},{2,5},{3,6,7},{4}}=>{{1},{2,6,7},{3,5},{4}} {{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}} {{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}} {{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}} {{1},{2,5,7},{3},{4,6}}=>{{1},{2,7},{3},{4,5,6}} {{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}} {{1},{2,5},{3},{4,6,7}}=>{{1},{2,6,7},{3},{4,5}} {{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}} {{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}} {{1},{2,5,7},{3},{4},{6}}=>{{1},{2,5,7},{3},{4},{6}} {{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}} {{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{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}}=>{{1,5},{2},{3,6,7},{4}} {{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}} {{1,6},{2},{3,5,7},{4}}=>{{1,5,6},{2},{3,7},{4}} {{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}} {{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}} {{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}} {{1},{2,6,7},{3,5},{4}}=>{{1},{2,5},{3,6,7},{4}} {{1},{2,6},{3,5,7},{4}}=>{{1},{2,5,6},{3,7},{4}} {{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}} {{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}} {{1,7},{2},{3,5,6},{4}}=>{{1,5,7},{2},{3,6},{4}} {{1},{2,7},{3,5,6},{4}}=>{{1},{2,5,7},{3,6},{4}} {{1},{2},{3,5,6,7},{4}}=>{{1},{2},{3,5,6,7},{4}} {{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}} {{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3,5,6},{4},{7}} {{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}} {{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}} {{1},{2},{3,5,7},{4,6}}=>{{1},{2},{3,7},{4,5,6}} {{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}} {{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}} {{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}} {{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{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},{3,7},{4,5},{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}}=>{{1,5},{2},{3},{4,6,7}} {{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}} {{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}} {{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2},{3},{4,7}} {{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}} {{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}} {{1},{2,6,7},{3},{4,5}}=>{{1},{2,5},{3},{4,6,7}} {{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}} {{1},{2,6},{3},{4,5,7}}=>{{1},{2,5,6},{3},{4,7}} {{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}} {{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}} {{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}} {{1},{2},{3,6,7},{4,5}}=>{{1},{2},{3,5},{4,6,7}} {{1},{2},{3,6},{4,5,7}}=>{{1},{2},{3,5,6},{4,7}} {{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}} {{1,7},{2},{3},{4,5,6}}=>{{1,5,7},{2},{3},{4,6}} {{1},{2,7},{3},{4,5,6}}=>{{1},{2,5,7},{3},{4,6}} {{1},{2},{3,7},{4,5,6}}=>{{1},{2},{3,5,7},{4,6}} {{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}}=>{{1,5},{2},{3},{4,7},{6}} {{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}} {{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{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},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}} {{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}} {{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}} {{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}} {{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}} {{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}} {{1},{2,6,7},{3},{4},{5}}=>{{1},{2,6,7},{3},{4},{5}} {{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}} {{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}} {{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}} {{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}} {{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}} {{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{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},{3,7},{4,6},{5}} {{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}} {{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}} {{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}} {{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}} {{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{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},{4,7},{5,6}} {{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}} {{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}} {{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}} {{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}} {{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}} {{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}} {{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{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},{4,7},{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}}=>{{1,4},{2,3},{5,6},{7,8}} {{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}} {{1,5},{2,3},{4,6},{7,8}}=>{{1,3},{2,6},{4,5},{7,8}} {{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}} {{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}} {{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}} {{1,8},{2,4},{3,5},{6,7}}=>{{1,5},{2,4},{3,7},{6,8}} {{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}} {{1,6},{2,4},{3,5},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}} {{1,5},{2,4},{3,6},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}} {{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}} {{1,3},{2,5},{4,6},{7,8}}=>{{1,6},{2,3},{4,5},{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}}=>{{1,2},{3,5},{4,6},{7,8}} {{1,3},{2,6},{4,5},{7,8}}=>{{1,5},{2,3},{4,6},{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}}=>{{1,4},{2,6},{3,5},{7,8}} {{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}} {{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}} {{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}} {{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}} {{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}} {{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}} {{1,5},{2,7},{3,4},{6,8}}=>{{1,4},{2,8},{3,5},{6,7}} {{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}} {{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}} {{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,5},{4,8},{6,7}} {{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,5},{4,7},{6,8}} {{1,3},{2,8},{4,5},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}} {{1,4},{2,8},{3,5},{6,7}}=>{{1,5},{2,7},{3,4},{6,8}} {{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}} {{1,6},{2,8},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}} {{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}} {{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}} {{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}} {{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}} {{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}} {{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}} {{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}} {{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,3},{4,6},{5,8}} {{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}} {{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}} {{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}} {{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}} {{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}} {{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}} {{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}} {{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}} {{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}} {{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}} {{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}} {{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}} {{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}} {{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}} {{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}} {{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,8},{4,5},{6,7}} {{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}} {{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}} {{1,5},{2,4},{3,7},{6,8}}=>{{1,8},{2,4},{3,5},{6,7}} {{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}} {{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}} {{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}} {{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}} {{1,7},{2,3},{4,6},{5,8}}=>{{1,3},{2,8},{4,6},{5,7}} {{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}} {{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}} {{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}} {{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}} {{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}} {{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}} {{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}} {{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}} {{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}} {{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}} {{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}} {{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}} {{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}} {{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}} {{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}} {{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}} {{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}} {{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}} {{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,7},{4,5},{6,8}} {{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}} {{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}} {{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}} {{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}} {{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}} {{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}} {{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}} {{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}} {{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}} {{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}} {{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}} {{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}} {{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}} {{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}} {{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}} {{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}} {{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}} {{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}} {{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}} {{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}} {{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}} {{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},{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},{6,7,8}} {{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},{5,7},{6,8}} {{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},{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},{6,7,8}} {{1},{2},{3},{4,6,7,8},{5}}=>{{1},{2},{3},{4,6,7,8},{5}} {{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}} {{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},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}} {{1},{2},{3,4},{5,8},{6,7}}=>{{1},{2},{3,4},{5,7},{6,8}} {{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}} {{1},{2},{3,5},{4},{6,7,8}}=>{{1},{2},{3,5},{4},{6,7,8}} {{1},{2},{3,6,8},{4},{5},{7}}=>{{1},{2},{3,6,8},{4},{5},{7}} {{1},{2},{3,5,6,7,8},{4}}=>{{1},{2},{3,5,6,7,8},{4}} {{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},{3,5},{4,6,7,8}} {{1},{2},{3,4,6,8},{5},{7}}=>{{1},{2},{3,4,6,8},{5},{7}} {{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},{3,4,8},{5,6,7}}=>{{1},{2},{3,4,6,8},{5,7}} {{1},{2},{3,4,5,8},{6,7}}=>{{1},{2},{3,4,5,7},{6,8}} {{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},{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},{5,8},{6,7}}=>{{1},{2,3},{4},{5,7},{6,8}} {{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},{6,7},{8}} {{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},{4,7,8},{5,6}}=>{{1},{2,3},{4,6},{5,7,8}} {{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},{2,4},{3},{5},{6},{7},{8}}=>{{1},{2,4},{3},{5},{6},{7},{8}} {{1},{2,4},{3},{5,8},{6,7}}=>{{1},{2,4},{3},{5,7},{6,8}} {{1},{2,5,6,7,8},{3},{4}}=>{{1},{2,5,6,7,8},{3},{4}} {{1},{2,4,6,8},{3},{5},{7}}=>{{1},{2,4,6,8},{3},{5},{7}} {{1},{2,4,5,6},{3},{7},{8}}=>{{1},{2,4,5,6},{3},{7},{8}} {{1},{2,4,5,7},{3},{6},{8}}=>{{1},{2,4,5,7},{3},{6},{8}} {{1},{2,4,8},{3},{5,7},{6}}=>{{1},{2,4,7},{3},{5,8},{6}} {{1},{2,4,5,6,7},{3},{8}}=>{{1},{2,4,5,6,7},{3},{8}} {{1},{2,4,8},{3},{5,6,7}}=>{{1},{2,4,6,8},{3},{5,7}} {{1},{2,4,5,6,7,8},{3}}=>{{1},{2,4,5,6,7,8},{3}} {{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},{5,7},{6,8}} {{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}} {{1},{2,8},{3,4},{5,6,7}}=>{{1},{2,4},{3,6,8},{5,7}} {{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}} {{1},{2,6,8},{3,5},{4},{7}}=>{{1},{2,5},{3,6,8},{4},{7}} {{1},{2,8},{3,5,7},{4},{6}}=>{{1},{2,5,8},{3,7},{4},{6}} {{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},{6,7,8}}=>{{1},{2,3,4,5},{6,7,8}} {{1},{2,8},{3,4,5},{6,7}}=>{{1},{2,4,7},{3,5},{6,8}} {{1},{2,6,8},{3,4,5},{7}}=>{{1},{2,4,6,8},{3,5},{7}} {{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{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},{2,3,5,8},{4,7},{6}} {{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}} {{1},{2,8},{3,4,5,6,7}}=>{{1},{2,4,6,8},{3,5,7}} {{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},{5},{6},{7},{8}}=>{{1,2},{3},{4},{5},{6},{7},{8}} {{1,2},{3},{4},{5,8},{6,7}}=>{{1,2},{3},{4},{5,7},{6,8}} {{1,2},{3},{4,6,7,8},{5}}=>{{1,2},{3},{4,6,7,8},{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},{5,8},{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},{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},{3,5},{4},{6},{7},{8}}=>{{1,2},{3,5},{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}} {{1,2},{3,6,8},{4},{5},{7}}=>{{1,2},{3,6,8},{4},{5},{7}} {{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},{3,6},{4},{5,7,8}} {{1,2},{3,8},{4},{5,6,7}}=>{{1,2},{3,6,8},{4},{5,7}} {{1,2},{3,5,8},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6,8}} {{1,2},{3,5,6,8},{4},{7}}=>{{1,2},{3,5,6,8},{4},{7}} {{1,2},{3,5,6,7,8},{4}}=>{{1,2},{3,5,6,7,8},{4}} {{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},{3,6,8},{4,5},{7}}=>{{1,2},{3,5},{4,6,8},{7}} {{1,2},{3,6,7,8},{4,5}}=>{{1,2},{3,5},{4,6,7,8}} {{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},{3,6},{4,7,8},{5}} {{1,2},{3,8},{4,7},{5},{6}}=>{{1,2},{3,7},{4,8},{5},{6}} {{1,2},{3,8},{4,6,7},{5}}=>{{1,2},{3,6,8},{4,7},{5}} {{1,2},{3,4,8},{5},{6,7}}=>{{1,2},{3,4,7},{5},{6,8}} {{1,2},{3,4,6,8},{5},{7}}=>{{1,2},{3,4,6,8},{5},{7}} {{1,2},{3,4,6,7,8},{5}}=>{{1,2},{3,4,6,7,8},{5}} {{1,2},{3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6},{7,8}} {{1,2},{3,4,7,8},{5,6}}=>{{1,2},{3,4,6},{5,7,8}} {{1,2},{3,8},{4,5,7},{6}}=>{{1,2},{3,5,8},{4,7},{6}} {{1,2},{3,4,8},{5,7},{6}}=>{{1,2},{3,4,7},{5,8},{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},{3,8},{4,5,6,7}}=>{{1,2},{3,5,7},{4,6,8}} {{1,2},{3,4,8},{5,6,7}}=>{{1,2},{3,4,6,8},{5,7}} {{1,2},{3,4,5,8},{6,7}}=>{{1,2},{3,4,5,7},{6,8}} {{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}} {{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}} {{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}} {{1,3},{2},{4},{5,8},{6,7}}=>{{1,3},{2},{4},{5,7},{6,8}} {{1,3},{2},{4},{5,6,7,8}}=>{{1,3},{2},{4},{5,6,7,8}} {{1,3},{2},{4,5},{6},{7},{8}}=>{{1,3},{2},{4,5},{6},{7},{8}} {{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}} {{1,3},{2},{4,6},{5},{7},{8}}=>{{1,3},{2},{4,6},{5},{7},{8}} {{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}} {{1,3},{2},{4,6,8},{5},{7}}=>{{1,3},{2},{4,6,8},{5},{7}} {{1,3},{2},{4,5,6},{7},{8}}=>{{1,3},{2},{4,5,6},{7},{8}} {{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}} {{1,3},{2},{4,5,6,8},{7}}=>{{1,3},{2},{4,5,6,8},{7}} {{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},{5,6},{7},{8}}=>{{1,4},{2},{3},{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}} {{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}} {{1,4},{2},{3},{5,6,7},{8}}=>{{1,4},{2},{3},{5,6,7},{8}} {{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2},{3},{5,7},{6,8}} {{1,4},{2},{3},{5,6,8},{7}}=>{{1,4},{2},{3},{5,6,8},{7}} {{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8}} {{1,5},{2},{3},{4},{6,7},{8}}=>{{1,5},{2},{3},{4},{6,7},{8}} {{1,5},{2},{3},{4},{6,8},{7}}=>{{1,5},{2},{3},{4},{6,8},{7}} {{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}} {{1,6},{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}} {{1,7,8},{2},{3},{4},{5},{6}}=>{{1,7,8},{2},{3},{4},{5},{6}} {{1,6,7,8},{2},{3},{4},{5}}=>{{1,6,7,8},{2},{3},{4},{5}} {{1,5,7},{2},{3},{4},{6},{8}}=>{{1,5,7},{2},{3},{4},{6},{8}} {{1,5,6,7,8},{2},{3},{4}}=>{{1,5,6,7,8},{2},{3},{4}} {{1,6,7,8},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6,7,8}} {{1,4,6},{2},{3},{5},{7,8}}=>{{1,4,6},{2},{3},{5},{7,8}} {{1,4,6,8},{2},{3},{5},{7}}=>{{1,4,6,8},{2},{3},{5},{7}} {{1,4,5,6},{2},{3},{7,8}}=>{{1,4,5,6},{2},{3},{7,8}} {{1,4,7,8},{2},{3},{5,6}}=>{{1,4,6},{2},{3},{5,7,8}} {{1,4,8},{2},{3},{5,6,7}}=>{{1,4,6,8},{2},{3},{5,7}} {{1,4,5,8},{2},{3},{6,7}}=>{{1,4,5,7},{2},{3},{6,8}} {{1,4,5,6,7,8},{2},{3}}=>{{1,4,5,6,7,8},{2},{3}} {{1,3,4},{2},{5,6},{7,8}}=>{{1,3,4},{2},{5,6},{7,8}} {{1,3,4},{2},{5,7,8},{6}}=>{{1,3,4},{2},{5,7,8},{6}} {{1,3,4},{2},{5,8},{6,7}}=>{{1,3,4},{2},{5,7},{6,8}} {{1,3,4},{2},{5,6,7,8}}=>{{1,3,4},{2},{5,6,7,8}} {{1,5,6},{2},{3,4},{7,8}}=>{{1,4},{2},{3,5,6},{7,8}} {{1,7,8},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7,8}} {{1,5,8},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5,7},{6,8}} {{1,3,5},{2},{4},{6},{7},{8}}=>{{1,3,5},{2},{4},{6},{7},{8}} {{1,3,5},{2},{4},{6,8},{7}}=>{{1,3,5},{2},{4},{6,8},{7}} {{1,3,5},{2},{4},{6,7,8}}=>{{1,3,5},{2},{4},{6,7,8}} {{1,6,7,8},{2},{3,5},{4}}=>{{1,5},{2},{3,6,7,8},{4}} {{1,3,7},{2},{4},{5},{6},{8}}=>{{1,3,7},{2},{4},{5},{6},{8}} {{1,7,8},{2},{3,5,6},{4}}=>{{1,5,7,8},{2},{3,6},{4}} {{1,3,5,7},{2},{4},{6},{8}}=>{{1,3,5,7},{2},{4},{6},{8}} {{1,8},{2},{3,5,6,7},{4}}=>{{1,5,7},{2},{3,6,8},{4}} {{1,3,5,6,8},{2},{4},{7}}=>{{1,3,5,6,8},{2},{4},{7}} {{1,3,5,6,7,8},{2},{4}}=>{{1,3,5,6,7,8},{2},{4}} {{1,6},{2},{3,4,5},{7,8}}=>{{1,4,6},{2},{3,5},{7,8}} {{1,6,8},{2},{3,4,5},{7}}=>{{1,4,6,8},{2},{3,5},{7}} {{1,3,6},{2},{4,5},{7,8}}=>{{1,3,5},{2},{4,6},{7,8}} {{1,7,8},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7,8}} {{1,3,8},{2},{4,5},{6,7}}=>{{1,3,5},{2},{4,7},{6,8}} {{1,3,7},{2},{4,6},{5},{8}}=>{{1,3,6},{2},{4,7},{5},{8}} {{1,3,4,6,7},{2},{5},{8}}=>{{1,3,4,6,7},{2},{5},{8}} {{1,3,8},{2},{4,6,7},{5}}=>{{1,3,6,8},{2},{4,7},{5}} {{1,3,4,6,8},{2},{5},{7}}=>{{1,3,4,6,8},{2},{5},{7}} {{1,3,4,6,7,8},{2},{5}}=>{{1,3,4,6,7,8},{2},{5}} {{1,3,4,5,6},{2},{7,8}}=>{{1,3,4,5,6},{2},{7,8}} {{1,8},{2},{3,4,5,6},{7}}=>{{1,4,6},{2},{3,5,8},{7}} {{1,7,8},{2},{3,4,5,6}}=>{{1,4,6},{2},{3,5,7,8}} {{1,3,7},{2},{4,5,6},{8}}=>{{1,3,5,7},{2},{4,6},{8}} {{1,3,8},{2},{4,7},{5,6}}=>{{1,3,6},{2},{4,7},{5,8}} {{1,3,4,5,7,8},{2},{6}}=>{{1,3,4,5,7,8},{2},{6}} {{1,3,4,5,6,7},{2},{8}}=>{{1,3,4,5,6,7},{2},{8}} {{1,8},{2},{3,4,5,6,7}}=>{{1,4,6,8},{2},{3,5,7}} {{1,3,4,5,6,8},{2},{7}}=>{{1,3,4,5,6,8},{2},{7}} {{1,3,4,5,6,7,8},{2}}=>{{1,3,4,5,6,7,8},{2}} {{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},{5,7},{6,8}} {{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},{7},{8}} {{1,2,3},{4,5},{6,7},{8}}=>{{1,2,3},{4,5},{6,7},{8}} {{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},{4,5,6},{7,8}}=>{{1,2,3},{4,5,6},{7,8}} {{1,2,3},{4,8},{5,6,7}}=>{{1,2,3},{4,6,8},{5,7}} {{1,2,3},{4,5,8},{6,7}}=>{{1,2,3},{4,5,7},{6,8}} {{1,2,3},{4,5,6,7,8}}=>{{1,2,3},{4,5,6,7,8}} {{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}} {{1,4},{2,3},{5},{6},{7,8}}=>{{1,3},{2,4},{5},{6},{7,8}} {{1,4},{2,3},{5},{6,7},{8}}=>{{1,3},{2,4},{5},{6,7},{8}} {{1,4},{2,3},{5},{6,8},{7}}=>{{1,3},{2,4},{5},{6,8},{7}} {{1,4},{2,3},{5},{6,7,8}}=>{{1,3},{2,4},{5},{6,7,8}} {{1,4},{2,3},{5,6},{7},{8}}=>{{1,3},{2,4},{5,6},{7},{8}} {{1,4},{2,3},{5,7},{6},{8}}=>{{1,3},{2,4},{5,7},{6},{8}} {{1,4},{2,3},{5,8},{6},{7}}=>{{1,3},{2,4},{5,8},{6},{7}} {{1,4},{2,3},{5,7,8},{6}}=>{{1,3},{2,4},{5,7,8},{6}} {{1,4},{2,3},{5,6,7},{8}}=>{{1,3},{2,4},{5,6,7},{8}} {{1,4},{2,3},{5,6,8},{7}}=>{{1,3},{2,4},{5,6,8},{7}} {{1,4},{2,3},{5,6,7,8}}=>{{1,3},{2,4},{5,6,7,8}} {{1,8},{2,3},{4},{5,6,7}}=>{{1,3},{2,6,8},{4},{5,7}} {{1,6,8},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6,8},{7}} {{1,6,7,8},{2,3},{4,5}}=>{{1,3},{2,5},{4,6,7,8}} {{1,4,6},{2,3},{5},{7,8}}=>{{1,3},{2,4,6},{5},{7,8}} {{1,4,7,8},{2,3},{5},{6}}=>{{1,3},{2,4,7,8},{5},{6}} {{1,4,6,7},{2,3},{5},{8}}=>{{1,3},{2,4,6,7},{5},{8}} {{1,8},{2,3},{4,6,7},{5}}=>{{1,3},{2,6,8},{4,7},{5}} {{1,4,8},{2,3},{5},{6,7}}=>{{1,3},{2,4,7},{5},{6,8}} {{1,4,6,8},{2,3},{5},{7}}=>{{1,3},{2,4,6,8},{5},{7}} {{1,4,6,7,8},{2,3},{5}}=>{{1,3},{2,4,6,7,8},{5}} {{1,4,5,6},{2,3},{7,8}}=>{{1,3},{2,4,5,6},{7,8}} {{1,4,7,8},{2,3},{5,6}}=>{{1,3},{2,4,6},{5,7,8}} {{1,8},{2,3},{4,5,7},{6}}=>{{1,3},{2,5,8},{4,7},{6}} {{1,4,8},{2,3},{5,7},{6}}=>{{1,3},{2,4,7},{5,8},{6}} {{1,4,5,7,8},{2,3},{6}}=>{{1,3},{2,4,5,7,8},{6}} {{1,8},{2,3},{4,5,6,7}}=>{{1,3},{2,5,7},{4,6,8}} {{1,4,8},{2,3},{5,6,7}}=>{{1,3},{2,4,6,8},{5,7}} {{1,4,5,8},{2,3},{6,7}}=>{{1,3},{2,4,5,7},{6,8}} {{1,4,5,6,8},{2,3},{7}}=>{{1,3},{2,4,5,6,8},{7}} {{1,4,5,6,7,8},{2,3}}=>{{1,3},{2,4,5,6,7,8}} {{1,2,4},{3},{5,6},{7,8}}=>{{1,2,4},{3},{5,6},{7,8}} {{1,2,4},{3},{5,8},{6},{7}}=>{{1,2,4},{3},{5,8},{6},{7}} {{1,2,4},{3},{5,8},{6,7}}=>{{1,2,4},{3},{5,7},{6,8}} {{1,2,4},{3},{5,6,8},{7}}=>{{1,2,4},{3},{5,6,8},{7}} {{1,2,4},{3},{5,6,7,8}}=>{{1,2,4},{3},{5,6,7,8}} {{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}} {{1,5},{2,4},{3},{6,8},{7}}=>{{1,4},{2,5},{3},{6,8},{7}} {{1,5,6},{2,4},{3},{7,8}}=>{{1,4},{2,5,6},{3},{7,8}} {{1,7,8},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7,8}} {{1,5,7},{2,4},{3},{6},{8}}=>{{1,4},{2,5,7},{3},{6},{8}} {{1,5,8},{2,4},{3},{6,7}}=>{{1,4},{2,5,7},{3},{6,8}} {{1,2,5},{3},{4},{6,7,8}}=>{{1,2,5},{3},{4},{6,7,8}} {{1,6},{2,5},{3},{4},{7,8}}=>{{1,5},{2,6},{3},{4},{7,8}} {{1,6,7,8},{2,5},{3},{4}}=>{{1,5},{2,6,7,8},{3},{4}} {{1,2,8},{3},{4},{5},{6},{7}}=>{{1,2,8},{3},{4},{5},{6},{7}} {{1,7,8},{2,5,6},{3},{4}}=>{{1,5,7,8},{2,6},{3},{4}} {{1,8},{2,5,6,7},{3},{4}}=>{{1,5,7},{2,6,8},{3},{4}} {{1,2,5,6,7,8},{3},{4}}=>{{1,2,5,6,7,8},{3},{4}} {{1,2,4,5},{3},{6,7,8}}=>{{1,2,4,5},{3},{6,7,8}} {{1,6},{2,4,5},{3},{7,8}}=>{{1,4,6},{2,5},{3},{7,8}} {{1,8},{2,4,5},{3},{6,7}}=>{{1,4,7},{2,5},{3},{6,8}} {{1,2,6},{3},{4,5},{7,8}}=>{{1,2,5},{3},{4,6},{7,8}} {{1,7,8},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7,8}} {{1,8},{2,6,7},{3},{4,5}}=>{{1,5},{2,6,8},{3},{4,7}} {{1,2,8},{3},{4,5},{6,7}}=>{{1,2,5},{3},{4,7},{6,8}} {{1,2,6,8},{3},{4,5},{7}}=>{{1,2,5},{3},{4,6,8},{7}} {{1,2,4,6},{3},{5},{7},{8}}=>{{1,2,4,6},{3},{5},{7},{8}} {{1,2,4,6},{3},{5},{7,8}}=>{{1,2,4,6},{3},{5},{7,8}} {{1,7},{2,4,6},{3},{5},{8}}=>{{1,4,7},{2,6},{3},{5},{8}} {{1,8},{2,7},{3},{4,6},{5}}=>{{1,6},{2,7},{3},{4,8},{5}} {{1,2,4,8},{3},{5},{6,7}}=>{{1,2,4,7},{3},{5},{6,8}} {{1,2,4,6,8},{3},{5},{7}}=>{{1,2,4,6,8},{3},{5},{7}} {{1,2,4,6,7,8},{3},{5}}=>{{1,2,4,6,7,8},{3},{5}} {{1,2,4,5,6},{3},{7,8}}=>{{1,2,4,5,6},{3},{7,8}} {{1,8},{2,4,7},{3},{5,6}}=>{{1,4,7},{2,6},{3},{5,8}} {{1,2,8},{3},{4,7},{5,6}}=>{{1,2,6},{3},{4,7},{5,8}} {{1,2,4,8},{3},{5,6},{7}}=>{{1,2,4,6},{3},{5,8},{7}} {{1,2,4,5,7},{3},{6},{8}}=>{{1,2,4,5,7},{3},{6},{8}} {{1,2,8},{3},{4,5,7},{6}}=>{{1,2,5,8},{3},{4,7},{6}} {{1,2,4,8},{3},{5,7},{6}}=>{{1,2,4,7},{3},{5,8},{6}} {{1,2,4,5,7,8},{3},{6}}=>{{1,2,4,5,7,8},{3},{6}} {{1,2,4,5,6,7},{3},{8}}=>{{1,2,4,5,6,7},{3},{8}} {{1,2,4,8},{3},{5,6,7}}=>{{1,2,4,6,8},{3},{5,7}} {{1,2,4,5,8},{3},{6,7}}=>{{1,2,4,5,7},{3},{6,8}} {{1,2,4,5,6,8},{3},{7}}=>{{1,2,4,5,6,8},{3},{7}} {{1,2,4,5,6,7,8},{3}}=>{{1,2,4,5,6,7,8},{3}} {{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},{7,8}}=>{{1,2,3,4},{5,6},{7,8}} {{1,2,3,4},{5,7,8},{6}}=>{{1,2,3,4},{5,7,8},{6}} {{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},{5,7},{6,8}} {{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}} {{1,5},{2,3,4},{6,7,8}}=>{{1,3,5},{2,4},{6,7,8}} {{1,6,8},{2,3,4},{5},{7}}=>{{1,3,6,8},{2,4},{5},{7}} {{1,6,7,8},{2,3,4},{5}}=>{{1,3,6,7,8},{2,4},{5}} {{1,5,7},{2,3,4},{6},{8}}=>{{1,3,5,7},{2,4},{6},{8}} {{1,5,8},{2,3,4},{6,7}}=>{{1,3,5,7},{2,4},{6,8}} {{1,5,6,8},{2,3,4},{7}}=>{{1,3,5,6,8},{2,4},{7}} {{1,5,6,7,8},{2,3,4}}=>{{1,3,5,6,7,8},{2,4}} {{1,6,8},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6,8},{7}} {{1,6,7,8},{2,5},{3,4}}=>{{1,4},{2,5},{3,6,7,8}} {{1,2,5,6},{3,4},{7,8}}=>{{1,2,4},{3,5,6},{7,8}} {{1,7,8},{2,5,6},{3,4}}=>{{1,4},{2,5,7,8},{3,6}} {{1,2,7,8},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7,8}} {{1,8},{2,5,7},{3,4},{6}}=>{{1,4},{2,5,8},{3,7},{6}} {{1,8},{2,5,6,7},{3,4}}=>{{1,4},{2,5,7},{3,6,8}} {{1,2,5,8},{3,4},{6,7}}=>{{1,2,4},{3,5,7},{6,8}} {{1,2,5,6,7,8},{3,4}}=>{{1,2,4},{3,5,6,7,8}} {{1,2,3,5},{4},{6,7},{8}}=>{{1,2,3,5},{4},{6,7},{8}} {{1,2,3,5},{4},{6,7,8}}=>{{1,2,3,5},{4},{6,7,8}} {{1,6},{2,3,5},{4},{7,8}}=>{{1,3,6},{2,5},{4},{7,8}} {{1,8},{2,3,5},{4},{6,7}}=>{{1,3,7},{2,5},{4},{6,8}} {{1,6,8},{2,3,5},{4},{7}}=>{{1,3,6,8},{2,5},{4},{7}} {{1,2,6},{3,5},{4},{7,8}}=>{{1,2,5},{3,6},{4},{7,8}} {{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}} {{1,7,8},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7,8},{4}} {{1,8},{2,6,7},{3,5},{4}}=>{{1,5},{2,6,8},{3,7},{4}} {{1,2,8},{3,5},{4},{6,7}}=>{{1,2,5},{3,7},{4},{6,8}} {{1,2,6,8},{3,5},{4},{7}}=>{{1,2,5},{3,6,8},{4},{7}} {{1,2,3,6},{4},{5},{7,8}}=>{{1,2,3,6},{4},{5},{7,8}} {{1,8},{2,7},{3,6},{4},{5}}=>{{1,6},{2,7},{3,8},{4},{5}} {{1,2,3,8},{4},{5},{6},{7}}=>{{1,2,3,8},{4},{5},{6},{7}} {{1,2,3,7,8},{4},{5},{6}}=>{{1,2,3,7,8},{4},{5},{6}} {{1,2,8},{3,6,7},{4},{5}}=>{{1,2,6,8},{3,7},{4},{5}} {{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}} {{1,8},{2,7},{3,5,6},{4}}=>{{1,5,8},{2,6},{3,7},{4}} {{1,2,8},{3,5,6},{4},{7}}=>{{1,2,5,8},{3,6},{4},{7}} {{1,2,7,8},{3,5,6},{4}}=>{{1,2,5,7,8},{3,6},{4}} {{1,8},{2,3,7},{4},{5,6}}=>{{1,3,7},{2,6},{4},{5,8}} {{1,2,8},{3,7},{4},{5,6}}=>{{1,2,6},{3,7},{4},{5,8}} {{1,8},{2,3,5,7},{4},{6}}=>{{1,3,7},{2,5,8},{4},{6}} {{1,2,8},{3,5,7},{4},{6}}=>{{1,2,5,8},{3,7},{4},{6}} {{1,2,3,8},{4},{5,7},{6}}=>{{1,2,3,7},{4},{5,8},{6}} {{1,2,3,5,7,8},{4},{6}}=>{{1,2,3,5,7,8},{4},{6}} {{1,2,3,5,6,7},{4},{8}}=>{{1,2,3,5,6,7},{4},{8}} {{1,8},{2,3,5,6,7},{4}}=>{{1,3,6,8},{2,5,7},{4}} {{1,2,8},{3,5,6,7},{4}}=>{{1,2,5,7},{3,6,8},{4}} {{1,2,3,5,8},{4},{6,7}}=>{{1,2,3,5,7},{4},{6,8}} {{1,2,3,5,6,8},{4},{7}}=>{{1,2,3,5,6,8},{4},{7}} {{1,2,3,5,6,7,8},{4}}=>{{1,2,3,5,6,7,8},{4}} {{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}} {{1,6},{2,3,4,5},{7,8}}=>{{1,3,5},{2,4,6},{7,8}} {{1,8},{2,3,4,5},{6,7}}=>{{1,3,5},{2,4,7},{6,8}} {{1,6,8},{2,3,4,5},{7}}=>{{1,3,5},{2,4,6,8},{7}} {{1,6,7,8},{2,3,4,5}}=>{{1,3,5},{2,4,6,7,8}} {{1,2,6},{3,4,5},{7,8}}=>{{1,2,4,6},{3,5},{7,8}} {{1,7,8},{2,6},{3,4,5}}=>{{1,4,7,8},{2,5},{3,6}} {{1,2,8},{3,4,5},{6,7}}=>{{1,2,4,7},{3,5},{6,8}} {{1,2,6,8},{3,4,5},{7}}=>{{1,2,4,6,8},{3,5},{7}} {{1,2,6,7,8},{3,4,5}}=>{{1,2,4,6,7,8},{3,5}} {{1,2,3,6},{4,5},{7,8}}=>{{1,2,3,5},{4,6},{7,8}} {{1,8},{2,3,6},{4,5},{7}}=>{{1,3,6},{2,5},{4,8},{7}} {{1,7,8},{2,3,6},{4,5}}=>{{1,3,6},{2,5},{4,7,8}} {{1,2,7,8},{3,6},{4,5}}=>{{1,2,5},{3,6},{4,7,8}} {{1,8},{2,3,7},{4,5},{6}}=>{{1,3,7},{2,5},{4,8},{6}} {{1,8},{2,3,6,7},{4,5}}=>{{1,3,6,8},{2,5},{4,7}} {{1,2,3,8},{4,5},{6,7}}=>{{1,2,3,5},{4,7},{6,8}} {{1,2,3,6,8},{4,5},{7}}=>{{1,2,3,5},{4,6,8},{7}} {{1,2,3,6,7,8},{4,5}}=>{{1,2,3,5},{4,6,7,8}} {{1,2,3,4,6},{5},{7},{8}}=>{{1,2,3,4,6},{5},{7},{8}} {{1,2,3,4,6},{5},{7,8}}=>{{1,2,3,4,6},{5},{7,8}} {{1,8},{2,7},{3,4,6},{5}}=>{{1,4,8},{2,6},{3,7},{5}} {{1,8},{2,3,7},{4,6},{5}}=>{{1,3,7},{2,6},{4,8},{5}} {{1,2,8},{3,7},{4,6},{5}}=>{{1,2,6},{3,7},{4,8},{5}} {{1,2,3,4,8},{5},{6},{7}}=>{{1,2,3,4,8},{5},{6},{7}} {{1,2,3,4,6,7},{5},{8}}=>{{1,2,3,4,6,7},{5},{8}} {{1,8},{2,3,4,6,7},{5}}=>{{1,3,6,8},{2,4,7},{5}} {{1,2,3,4,6,8},{5},{7}}=>{{1,2,3,4,6,8},{5},{7}} {{1,2,3,4,6,7,8},{5}}=>{{1,2,3,4,6,7,8},{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}} {{1,7},{2,3,4,5,6},{8}}=>{{1,3,5,7},{2,4,6},{8}} {{1,8},{2,7},{3,4,5,6}}=>{{1,4,7},{2,5,8},{3,6}} {{1,2,7,8},{3,4,5,6}}=>{{1,2,4,6},{3,5,7,8}} {{1,2,8},{3,7},{4,5,6}}=>{{1,2,5,8},{3,6},{4,7}} {{1,2,3,8},{4,5,6},{7}}=>{{1,2,3,5,8},{4,6},{7}} {{1,2,3,7,8},{4,5,6}}=>{{1,2,3,5,7,8},{4,6}} {{1,8},{2,3,4,7},{5,6}}=>{{1,3,6},{2,4,7},{5,8}} {{1,2,8},{3,4,7},{5,6}}=>{{1,2,4,7},{3,6},{5,8}} {{1,2,3,8},{4,7},{5,6}}=>{{1,2,3,6},{4,7},{5,8}} {{1,2,3,4,7,8},{5,6}}=>{{1,2,3,4,6},{5,7,8}} {{1,2,3,4,5,7},{6},{8}}=>{{1,2,3,4,5,7},{6},{8}} {{1,2,8},{3,4,5,7},{6}}=>{{1,2,4,7},{3,5,8},{6}} {{1,2,3,8},{4,5,7},{6}}=>{{1,2,3,5,8},{4,7},{6}} {{1,2,3,4,8},{5,7},{6}}=>{{1,2,3,4,7},{5,8},{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}} {{1,2,3,4,5,6,7},{8}}=>{{1,2,3,4,5,6,7},{8}} {{1,8},{2,3,4,5,6,7}}=>{{1,3,5,7},{2,4,6,8}} {{1,2,8},{3,4,5,6,7}}=>{{1,2,4,6,8},{3,5,7}} {{1,2,3,8},{4,5,6,7}}=>{{1,2,3,5,7},{4,6,8}} {{1,2,3,4,8},{5,6,7}}=>{{1,2,3,4,6,8},{5,7}} {{1,2,3,4,5,8},{6,7}}=>{{1,2,3,4,5,7},{6,8}} {{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}} {{1,3,6,8},{2,4},{5},{7}}=>{{1,6,8},{2,3,4},{5},{7}} {{1,3,5,8},{2},{4,6},{7}}=>{{1,3,8},{2},{4,5,6},{7}} {{1,3,5,7},{2},{4},{6,8}}=>{{1,3,5,8},{2},{4},{6,7}} {{1,5,7},{2,4},{3},{6,8}}=>{{1,4},{2,5,8},{3},{6,7}} {{1,5},{2,4,8},{3},{6,7}}=>{{1,4,5},{2,7},{3},{6,8}} {{1,5,8},{2,4},{3,6},{7}}=>{{1,8},{2,4},{3,5,6},{7}} {{1,6,8},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6,8},{7}} {{1,2,5,8},{3,6},{4},{7}}=>{{1,2,8},{3,5,6},{4},{7}} {{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,8},{4,5,6},{7}} {{1,5,8},{2,6},{3,4},{7}}=>{{1,4},{2,8},{3,5,6},{7}} {{1,4,8},{2,6},{3,5},{7}}=>{{1,8},{2,5},{3,4,6},{7}} {{1,4,8},{2,5},{3,6},{7}}=>{{1,8},{2,6},{3,4,5},{7}} {{1,4},{2,5,8},{3},{6,7}}=>{{1,5,7},{2,4},{3},{6,8}} {{1,4,7},{2,5},{3},{6,8}}=>{{1,8},{2,4,5},{3},{6,7}} {{1,4},{2},{3,6,7},{5,8}}=>{{1,7},{2},{3,4},{5,6,8}} {{1,4},{2},{3,6},{5,7,8}}=>{{1,7,8},{2},{3,4},{5,6}} {{1,4},{2},{3,7},{5,6,8}}=>{{1,6,7},{2},{3,4},{5,8}} {{1,4},{2},{3,5,8},{6,7}}=>{{1,5,7},{2},{3,4},{6,8}} {{1,5},{2},{3,4,8},{6,7}}=>{{1,4,5},{2},{3,7},{6,8}} {{1,2,5},{3},{4,7,8},{6}}=>{{1,2,7,8},{3},{4,5},{6}} {{1,2,5,7},{3},{4,8},{6}}=>{{1,2,7},{3},{4,5,8},{6}} {{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}} {{1,5,7},{2},{3,4},{6,8}}=>{{1,4},{2},{3,5,8},{6,7}} {{1,4,7},{2},{3,5},{6,8}}=>{{1,8},{2},{3,4,5},{6,7}} {{1,4},{2},{3,8},{5,6,7}}=>{{1,6,8},{2},{3,4},{5,7}} {{1,4,6},{2},{3,8},{5,7}}=>{{1,7},{2},{3,4,6},{5,8}} {{1,4,6},{2},{3,7},{5,8}}=>{{1,8},{2},{3,4,6},{5,7}} {{1},{2,6},{3,4,7},{5,8}}=>{{1},{2,4,7},{3,8},{5,6}} {{1,6},{2,3,7},{4},{5,8}}=>{{1,3,7},{2,8},{4},{5,6}} {{1,2},{3,6,7},{4,8},{5}}=>{{1,2},{3,7},{4,6,8},{5}} {{1,2},{3,6},{4,7,8},{5}}=>{{1,2},{3,7,8},{4,6},{5}} {{1,6},{2,3},{4},{5,7,8}}=>{{1,3},{2,7,8},{4},{5,6}} {{1},{2,6},{3,4},{5,7,8}}=>{{1},{2,4},{3,7,8},{5,6}} {{1},{2,7},{3,4},{5,6,8}}=>{{1},{2,4},{3,6,7},{5,8}} {{1,7},{2,3},{4},{5,6,8}}=>{{1,3},{2,6,7},{4},{5,8}} {{1,2},{3,7},{4,6,8},{5}}=>{{1,2},{3,6,7},{4,8},{5}} {{1,2},{3,5,8},{4,7},{6}}=>{{1,2},{3,8},{4,5,7},{6}} {{1,7},{2,3,8},{4,5},{6}}=>{{1,3,8},{2,5},{4,7},{6}} {{1},{2,5},{3,4,8},{6,7}}=>{{1},{2,4,5},{3,7},{6,8}} {{1},{2,4},{3,5,8},{6,7}}=>{{1},{2,5,7},{3,4},{6,8}} {{1},{2,4},{3,7},{5,6,8}}=>{{1},{2,6,7},{3,4},{5,8}} {{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,7,8},{3,4},{5,6}} {{1},{2,4},{3,6,7},{5,8}}=>{{1},{2,7},{3,4},{5,6,8}} {{1,3},{2,6,7},{4},{5,8}}=>{{1,7},{2,3},{4},{5,6,8}} {{1,3},{2,6},{4},{5,7,8}}=>{{1,7,8},{2,3},{4},{5,6}} {{1,3},{2,7},{4},{5,6,8}}=>{{1,6,7},{2,3},{4},{5,8}} {{1,3},{2,7,8},{4,5},{6}}=>{{1,5},{2,3},{4,7,8},{6}} {{1,3,8},{2,4,7},{5},{6}}=>{{1,7},{2,3,4,8},{5},{6}} {{1,4,8},{2,3,7},{5},{6}}=>{{1,3,4,7},{2,8},{5},{6}} {{1,2,4},{3,7,8},{5},{6}}=>{{1,2,7,8},{3,4},{5},{6}} {{1,2,4,7},{3,8},{5},{6}}=>{{1,2,7},{3,4,8},{5},{6}} {{1,4,7},{2,3,8},{5},{6}}=>{{1,3,4,8},{2,7},{5},{6}} {{1,3,7},{2,4,8},{5},{6}}=>{{1,8},{2,3,4,7},{5},{6}} {{1,3,7},{2,8},{4,5},{6}}=>{{1,5},{2,3,7},{4,8},{6}} {{1,3},{2,8},{4},{5,6,7}}=>{{1,6,8},{2,3},{4},{5,7}} {{1,3,6},{2,8},{4},{5,7}}=>{{1,7},{2,3,6},{4},{5,8}} {{1,3,6},{2,7},{4},{5,8}}=>{{1,8},{2,3,6},{4},{5,7}} {{1},{2,4,6},{3,7},{5,8}}=>{{1},{2,8},{3,4,6},{5,7}} {{1},{2,4,6},{3,8},{5,7}}=>{{1},{2,7},{3,4,6},{5,8}} {{1},{2,4},{3,8},{5,6,7}}=>{{1},{2,6,8},{3,4},{5,7}} {{1},{2,4,7},{3,5},{6,8}}=>{{1},{2,8},{3,4,5},{6,7}} {{1},{2,5,7},{3,4},{6,8}}=>{{1},{2,4},{3,5,8},{6,7}} {{1,2,7},{3,5},{4,8},{6}}=>{{1,2,8},{3,5},{4,7},{6}} {{1},{2,8},{3,4,6},{5,7}}=>{{1},{2,4,6},{3,7},{5,8}} {{1,8},{2,3,6},{4},{5,7}}=>{{1,3,6},{2,7},{4},{5,8}} {{1,2,6},{3,8},{4,7},{5}}=>{{1,2,7},{3,8},{4,6},{5}} {{1,2,6},{3,7},{4,8},{5}}=>{{1,2,8},{3,7},{4,6},{5}} {{1,7},{2,3,6},{4},{5,8}}=>{{1,3,6},{2,8},{4},{5,7}} {{1},{2,7},{3,4,6},{5,8}}=>{{1},{2,4,6},{3,8},{5,7}} {{1,2},{3,6,8},{4,7},{5}}=>{{1,2},{3,8},{4,6,7},{5}} {{1,2},{3,5,7},{4,8},{6}}=>{{1,2},{3,7},{4,5,8},{6}} {{1,2},{3,7},{4,5,8},{6}}=>{{1,2},{3,5,7},{4,8},{6}} {{1,4,8},{2,7},{3},{5,6}}=>{{1,6},{2,4,8},{3},{5,7}} {{1,3,7},{2,8},{4},{5,6}}=>{{1,6},{2,3,7},{4},{5,8}} {{1,3,7},{2,8},{4,6},{5}}=>{{1,6},{2,3,7},{4,8},{5}} {{1,3,7},{2},{4,5,8},{6}}=>{{1,3,5,7},{2},{4,8},{6}} {{1,7},{2,3},{4,5,8},{6}}=>{{1,3},{2,5,7},{4,8},{6}} {{1,7},{2,3,8},{4,6},{5}}=>{{1,3,8},{2,6},{4,7},{5}} {{1,7},{2,3,8},{4},{5,6}}=>{{1,3,8},{2,6},{4},{5,7}} {{1,7,8},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7,8},{4}} {{1,7},{2,4,6,8},{3},{5}}=>{{1,4,8},{2,6,7},{3},{5}} {{1,7},{2,4,5},{3,8},{6}}=>{{1,5},{2,4,7},{3,8},{6}} {{1,4,6},{2,5},{3},{7,8}}=>{{1,6},{2,4,5},{3},{7,8}} {{1,4,7},{2,5},{3,8},{6}}=>{{1,7},{2,8},{3,4,5},{6}} {{1,4,7},{2,6,8},{3},{5}}=>{{1,8},{2,4,6,7},{3},{5}} {{1,5,7,8},{2,6},{3},{4}}=>{{1,7,8},{2,5,6},{3},{4}} {{1,5,7,8},{2},{3,6},{4}}=>{{1,7,8},{2},{3,5,6},{4}} {{1,5,8},{2,7},{3,6},{4}}=>{{1,8},{2,6},{3,5,7},{4}} {{1,8},{2,5,7},{3,6},{4}}=>{{1,7},{2,5,8},{3,6},{4}} {{1,5,8},{2,6,7},{3},{4}}=>{{1,7},{2,5,6,8},{3},{4}} {{1,5,6,8},{2,7},{3},{4}}=>{{1,6,7},{2,5,8},{3},{4}} {{1,4,6,7},{2,8},{3},{5}}=>{{1,6,8},{2,4,7},{3},{5}} {{1,4,5,7},{2},{3,8},{6}}=>{{1,5,8},{2},{3,4,7},{6}} {{1,3,5},{2,6},{4},{7,8}}=>{{1,5},{2,3,6},{4},{7,8}} {{1,3,5},{2,7},{4,8},{6}}=>{{1,8},{2,3,5},{4,7},{6}} {{1,3,6},{2,7,8},{4},{5}}=>{{1,6},{2,3,7,8},{4},{5}} {{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,3,6},{4,8},{5}} {{1,4,6,8},{2},{3,7},{5}}=>{{1,6,7},{2},{3,4,8},{5}} {{1,4,8},{2,6},{3,7},{5}}=>{{1,8},{2,7},{3,4,6},{5}} {{1,8},{2,4,6},{3,7},{5}}=>{{1,6},{2,4,8},{3,7},{5}} {{1,4,8},{2,5},{3},{6,7}}=>{{1,7},{2,4,5},{3},{6,8}} {{1,3,5},{2,8},{4},{6,7}}=>{{1,5},{2,3,7},{4},{6,8}} {{1,5},{2,3,8},{4},{6,7}}=>{{1,3,5},{2,7},{4},{6,8}} {{1,8},{2,6},{3,4,7},{5}}=>{{1,4,8},{2,7},{3,6},{5}} {{1,6,8},{2},{3,4,7},{5}}=>{{1,4,6,7},{2},{3,8},{5}} {{1,6,8},{2,4},{3,7},{5}}=>{{1,8},{2,4},{3,6,7},{5}} {{1,6},{2,3,8},{4,7},{5}}=>{{1,3,8},{2,7},{4,6},{5}} {{1,6},{2,3,7,8},{4},{5}}=>{{1,3,6},{2,7,8},{4},{5}} {{1,5},{2,3,7},{4,8},{6}}=>{{1,3,7},{2,8},{4,5},{6}} {{1,5},{2,3,6},{4},{7,8}}=>{{1,3,5},{2,6},{4},{7,8}} {{1,5,7},{2,4},{3,8},{6}}=>{{1,7},{2,4},{3,5,8},{6}} {{1,6,7},{2,4,8},{3},{5}}=>{{1,4,6,8},{2,7},{3},{5}} {{1,6,8},{2,5,7},{3},{4}}=>{{1,5,6,7},{2,8},{3},{4}} {{1,6,8},{2,7},{3,5},{4}}=>{{1,5},{2,8},{3,6,7},{4}} {{1,6,8},{2,7},{3},{4,5}}=>{{1,5},{2,8},{3},{4,6,7}} {{1,6,7},{2,8},{3,4},{5}}=>{{1,4},{2,7},{3,6,8},{5}} {{1,5,7},{2},{3,4,8},{6}}=>{{1,4,5,8},{2},{3,7},{6}} {{1,7},{2,5},{3,4,8},{6}}=>{{1,4,7},{2,8},{3,5},{6}} {{1,7},{2,6,8},{3,4},{5}}=>{{1,4},{2,6,7},{3,8},{5}} {{1,2,4,8},{3,6},{5},{7}}=>{{1,2,8},{3,4,6},{5},{7}} {{1,4,8},{2,3,6},{5},{7}}=>{{1,3,4,6},{2,8},{5},{7}} {{1,3,6},{2,4,8},{5},{7}}=>{{1,8},{2,3,4,6},{5},{7}} {{1,3,5},{2,6},{4,8},{7}}=>{{1,8},{2,3,5},{4,6},{7}} {{1,3,6},{2,5},{4,8},{7}}=>{{1,8},{2,3,6},{4,5},{7}} {{1,3,8},{2,5},{4,7},{6}}=>{{1,7},{2,3,8},{4,5},{6}} {{1,3,7},{2,5},{4,8},{6}}=>{{1,8},{2,3,7},{4,5},{6}} {{1,5},{2,4,8},{3,7},{6}}=>{{1,8},{2,4,5},{3,7},{6}} {{1,5},{2,4,7},{3,8},{6}}=>{{1,7},{2,4,5},{3,8},{6}} {{1,5},{2,4,8},{3,6},{7}}=>{{1,8},{2,4,5},{3,6},{7}} {{1,6},{2,4,8},{3,5},{7}}=>{{1,8},{2,4,6},{3,5},{7}} {{1,6},{2,5},{3,4,8},{7}}=>{{1,4,6},{2,8},{3,5},{7}} {{1,6},{2,3,5},{4,8},{7}}=>{{1,3,5},{2,8},{4,6},{7}} {{1,2,6},{3,5},{4,8},{7}}=>{{1,2,8},{3,5},{4,6},{7}} {{1,2,5},{3,6},{4,8},{7}}=>{{1,2,8},{3,6},{4,5},{7}} {{1,5},{2,3,6},{4,8},{7}}=>{{1,3,6},{2,8},{4,5},{7}} {{1,5},{2,6},{3,4,8},{7}}=>{{1,4,5},{2,8},{3,6},{7}} {{1,4,8},{2,5},{3,7},{6}}=>{{1,8},{2,7},{3,4,5},{6}} {{1,4,8},{2,7},{3,6},{5}}=>{{1,8},{2,6},{3,4,7},{5}} {{1,4,7},{2,8},{3,6},{5}}=>{{1,7},{2,6},{3,4,8},{5}} {{1,4,6},{2,8},{3,7},{5}}=>{{1,6},{2,7},{3,4,8},{5}} {{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,5},{3,4,8},{6}} {{1,5},{2,8},{3,4,7},{6}}=>{{1,4,5},{2,7},{3,8},{6}} {{1,5},{2,3,8},{4,7},{6}}=>{{1,3,8},{2,7},{4,5},{6}} {{1,2,5},{3,8},{4,7},{6}}=>{{1,2,7},{3,8},{4,5},{6}} {{1,2,5},{3,7},{4,8},{6}}=>{{1,2,8},{3,7},{4,5},{6}} {{1,5},{2,7},{3,4,8},{6}}=>{{1,4,5},{2,8},{3,7},{6}} {{1,4,8},{2,7},{3,5},{6}}=>{{1,8},{2,5},{3,4,7},{6}} {{1,4,6},{2,7},{3,8},{5}}=>{{1,6},{2,8},{3,4,7},{5}} {{1,4,7},{2,6},{3,8},{5}}=>{{1,7},{2,8},{3,4,6},{5}} {{1,7},{2,6},{3,4,8},{5}}=>{{1,4,7},{2,8},{3,6},{5}} {{1,7},{2,3,6},{4,8},{5}}=>{{1,3,6},{2,8},{4,7},{5}} {{1,2,7},{3,6},{4,8},{5}}=>{{1,2,8},{3,6},{4,7},{5}} {{1,2,8},{3,6},{4,7},{5}}=>{{1,2,7},{3,6},{4,8},{5}} {{1,8},{2,3,6},{4,7},{5}}=>{{1,3,6},{2,7},{4,8},{5}} {{1,2,8},{3,5},{4,7},{6}}=>{{1,2,7},{3,5},{4,8},{6}} {{1,8},{2,3,5},{4,7},{6}}=>{{1,3,5},{2,7},{4,8},{6}} {{1,8},{2,5},{3,4,7},{6}}=>{{1,4,8},{2,7},{3,5},{6}} {{1,8},{2,4,7},{3,5},{6}}=>{{1,7},{2,4,8},{3,5},{6}} {{1,8},{2,4,7},{3,6},{5}}=>{{1,7},{2,4,8},{3,6},{5}} {{1,7},{2,4,8},{3,6},{5}}=>{{1,8},{2,4,7},{3,6},{5}} {{1,3,6},{2,7},{4,8},{5}}=>{{1,8},{2,3,6},{4,7},{5}} {{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,3,5},{4,8},{6}} {{1,2,4,8},{3,7},{5},{6}}=>{{1,2,8},{3,4,7},{5},{6}} {{1,3,8},{2,7},{4,6},{5}}=>{{1,6},{2,3,8},{4,7},{5}} {{1,3,8},{2,6},{4,7},{5}}=>{{1,7},{2,3,8},{4,6},{5}} {{1,3,7},{2,6},{4,8},{5}}=>{{1,8},{2,3,7},{4,6},{5}} {{1,6},{2,4,8},{3,7},{5}}=>{{1,8},{2,4,6},{3,7},{5}} {{1,6},{2,4,7},{3,8},{5}}=>{{1,7},{2,4,6},{3,8},{5}} {{1,7},{2,4,6},{3,8},{5}}=>{{1,6},{2,4,7},{3,8},{5}} {{1,7},{2,4,8},{3,5},{6}}=>{{1,8},{2,4,7},{3,5},{6}} {{1,7},{2,3,5},{4,8},{6}}=>{{1,3,5},{2,8},{4,7},{6}} {{1,2,7},{3,8},{4,6},{5}}=>{{1,2,6},{3,8},{4,7},{5}} {{1,7},{2,8},{3,4,6},{5}}=>{{1,4,7},{2,6},{3,8},{5}} {{1,6},{2,8},{3,4,7},{5}}=>{{1,4,6},{2,7},{3,8},{5}} {{1,6},{2,3,7},{4,8},{5}}=>{{1,3,7},{2,8},{4,6},{5}} {{1,6},{2,7},{3,4,8},{5}}=>{{1,4,6},{2,8},{3,7},{5}} {{1,3,5},{2},{4,6,8},{7}}=>{{1,3,6,8},{2},{4,5},{7}} {{1,3},{2,4,6,8},{5},{7}}=>{{1,4,6,8},{2,3},{5},{7}} {{1},{2,4,6,8},{3},{5,7}}=>{{1},{2,4,8},{3},{5,6,7}} {{1,3},{2},{4,6,8},{5,7}}=>{{1,3},{2},{4,8},{5,6,7}} {{1,3,6},{2},{4,8},{5,7}}=>{{1,3,7},{2},{4,8},{5,6}} {{1,3,6},{2},{4,7},{5,8}}=>{{1,3,8},{2},{4,7},{5,6}} {{1,3,5},{2},{4,7},{6,8}}=>{{1,3,8},{2},{4,5},{6,7}} {{1,3,5,7},{2},{4,6},{8}}=>{{1,3,7},{2},{4,5,6},{8}} {{1,3,7},{2},{4,6,8},{5}}=>{{1,3,6,7},{2},{4,8},{5}} {{1,3,7},{2},{4,6},{5,8}}=>{{1,3,8},{2},{4,6},{5,7}} {{1,3,5,7},{2},{4,8},{6}}=>{{1,3,7},{2},{4,5,8},{6}} {{1,3},{2,4,8},{5,7},{6}}=>{{1,4,7},{2,3},{5,8},{6}} {{1},{2,4,8},{3,5,7},{6}}=>{{1},{2,7},{3,4,5,8},{6}} {{1,4},{2,8},{3,5,7},{6}}=>{{1,5,8},{2,7},{3,4},{6}} {{1,4},{2,5,7},{3,8},{6}}=>{{1,7},{2,5,8},{3,4},{6}} {{1,3},{2,5,7},{4,8},{6}}=>{{1,7},{2,3},{4,5,8},{6}} {{1,3},{2,7},{4,6,8},{5}}=>{{1,6,7},{2,3},{4,8},{5}} {{1,3,7},{2,4,6},{5},{8}}=>{{1,6},{2,3,4,7},{5},{8}} {{1,7},{2,4,6},{3},{5,8}}=>{{1,4,6},{2,8},{3},{5,7}} {{1,5,7},{2,4,8},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}} {{1,3,5,7},{2,8},{4},{6}}=>{{1,5,8},{2,3,7},{4},{6}} {{1},{2,8},{3,5,7},{4,6}}=>{{1},{2,7},{3,5,8},{4,6}} {{1,7},{2,4,6},{3,5},{8}}=>{{1,6},{2,4,7},{3,5},{8}} {{1,4,7},{2,6},{3,5},{8}}=>{{1,7},{2,5},{3,4,6},{8}} {{1},{2,5,8},{3,7},{4,6}}=>{{1},{2,8},{3,6},{4,5,7}} {{1},{2,5,8},{3,6},{4,7}}=>{{1},{2,8},{3,7},{4,5,6}} {{1,4,7},{2,5},{3,6},{8}}=>{{1,7},{2,6},{3,4,5},{8}} {{1,3,7},{2,5},{4,6},{8}}=>{{1,6},{2,3,7},{4,5},{8}} {{1},{2,4,8},{3,6},{5,7}}=>{{1},{2,7},{3,4,8},{5,6}} {{1},{2,4,6,8},{3,5},{7}}=>{{1},{2,6,8},{3,4,5},{7}} {{1,4},{2,6,8},{3,5},{7}}=>{{1,5},{2,6,8},{3,4},{7}} {{1,4},{2,5},{3,6,8},{7}}=>{{1,6,8},{2,5},{3,4},{7}} {{1,3},{2,5},{4,6,8},{7}}=>{{1,6,8},{2,3},{4,5},{7}} {{1,3,5},{2,4},{6,8},{7}}=>{{1,5},{2,3,4},{6,8},{7}} {{1,3,5,7},{2,4},{6},{8}}=>{{1,5,7},{2,3,4},{6},{8}} {{1,5},{2,4,6,8},{3},{7}}=>{{1,4,5},{2,6,8},{3},{7}} {{1,5},{2,4},{3,6,8},{7}}=>{{1,6,8},{2,4},{3,5},{7}} {{1,3,5},{2,6,8},{4},{7}}=>{{1,5},{2,3,6,8},{4},{7}} {{1},{2,6,8},{3,5,7},{4}}=>{{1},{2,5,6,7},{3,8},{4}} {{1,6},{2,8},{3,5,7},{4}}=>{{1,5,6},{2,7},{3,8},{4}} {{1,6},{2,4,8},{3},{5,7}}=>{{1,4,8},{2,7},{3},{5,6}} {{1,6},{2,4,7},{3},{5,8}}=>{{1,4,7},{2,8},{3},{5,6}} {{1,5},{2,4,7},{3},{6,8}}=>{{1,4,5},{2,8},{3},{6,7}} {{1,5,7},{2,4,6},{3},{8}}=>{{1,4,5,6},{2,7},{3},{8}} {{1,5,7},{2,4},{3,6},{8}}=>{{1,7},{2,4},{3,5,6},{8}} {{1},{2,6,8},{3,5},{4,7}}=>{{1},{2,8},{3,5},{4,6,7}} {{1},{2,4,6,8},{3,7},{5}}=>{{1},{2,6,7},{3,4,8},{5}} {{1,6},{2,7},{3,5,8},{4}}=>{{1,5,6},{2,8},{3,7},{4}} {{1,3,5},{2,7},{4},{6,8}}=>{{1,5},{2,3,8},{4},{6,7}} {{1,3,5,7},{2,6},{4},{8}}=>{{1,5,6},{2,3,7},{4},{8}} {{1,7},{2,6,8},{3,5},{4}}=>{{1,5},{2,6,7},{3,8},{4}} {{1,7},{2,6},{3,5,8},{4}}=>{{1,5,7},{2,8},{3,6},{4}} {{1,2},{3,4,6},{5,8},{7}}=>{{1,2},{3,4,8},{5,6},{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},{3,6},{4,5,8},{7}} {{1,2,5,6},{3,8},{4},{7}}=>{{1,2,6},{3,5,8},{4},{7}} {{1,2,5,6},{3},{4,8},{7}}=>{{1,2,6},{3},{4,5,8},{7}} {{1,2,6},{3},{4,5,8},{7}}=>{{1,2,5,6},{3},{4,8},{7}} {{1,6},{2,3},{4,5,8},{7}}=>{{1,3},{2,5,6},{4,8},{7}} {{1,5,6},{2,3},{4,8},{7}}=>{{1,3},{2,6},{4,5,8},{7}} {{1,5,6},{2,3,8},{4},{7}}=>{{1,3,5,8},{2,6},{4},{7}} {{1,5,6},{2,8},{3,4},{7}}=>{{1,4},{2,6},{3,5,8},{7}} {{1,5},{2,8},{3,4,6},{7}}=>{{1,4,5},{2,6},{3,8},{7}} {{1,5},{2,3,8},{4,6},{7}}=>{{1,3,8},{2,6},{4,5},{7}} {{1,6},{2,3,5,8},{4},{7}}=>{{1,3,8},{2,5,6},{4},{7}} {{1,2,6},{3,5,8},{4},{7}}=>{{1,2,5,6},{3,8},{4},{7}} {{1,2,5},{3,8},{4,6},{7}}=>{{1,2,6},{3,8},{4,5},{7}} {{1,2,4},{3,6},{5,8},{7}}=>{{1,2,8},{3,4},{5,6},{7}} {{1,2,4},{3,6,8},{5},{7}}=>{{1,2,6,8},{3,4},{5},{7}} {{1,2,4},{3,6},{5},{7,8}}=>{{1,2,6},{3,4},{5},{7,8}} {{1,2,4,6},{3},{5,8},{7}}=>{{1,2,4,8},{3},{5,6},{7}} {{1,2,4},{3,8},{5,7},{6}}=>{{1,2,7},{3,4},{5,8},{6}} {{1,2,4},{3,8},{5},{6,7}}=>{{1,2,7},{3,4},{5},{6,8}} {{1,4},{2,3,8},{5},{6,7}}=>{{1,3,4},{2,7},{5},{6,8}} {{1,3,4},{2,8},{5},{6,7}}=>{{1,4},{2,3,7},{5},{6,8}} {{1,3,4},{2,8},{5,7},{6}}=>{{1,4},{2,3,7},{5,8},{6}} {{1,4},{2,3,8},{5,7},{6}}=>{{1,3,4},{2,7},{5,8},{6}} {{1,4,6},{2,3},{5,8},{7}}=>{{1,3},{2,4,8},{5,6},{7}} {{1,4},{2,3,6},{5},{7,8}}=>{{1,3,4},{2,6},{5},{7,8}} {{1,4},{2,3,6,8},{5},{7}}=>{{1,3,4},{2,6,8},{5},{7}} {{1,4},{2,3,6},{5,8},{7}}=>{{1,3,4},{2,8},{5,6},{7}} {{1,3,4,7},{2,8},{5},{6}}=>{{1,4,8},{2,3,7},{5},{6}} {{1,8},{2,4,5},{3,7},{6}}=>{{1,5},{2,4,8},{3,7},{6}} {{1,3,8},{2,6},{4,5},{7}}=>{{1,5},{2,3,8},{4,6},{7}} {{1,3,4,8},{2,6},{5},{7}}=>{{1,4,6},{2,3,8},{5},{7}} {{1,3,4},{2,6},{5,8},{7}}=>{{1,4},{2,3,8},{5,6},{7}} {{1,3,4},{2,6,8},{5},{7}}=>{{1,4},{2,3,6,8},{5},{7}} {{1,3,4},{2,6},{5},{7,8}}=>{{1,4},{2,3,6},{5},{7,8}} {{1,6},{2,5,8},{3,4},{7}}=>{{1,4},{2,5,6},{3,8},{7}} {{1,6},{2,4,5},{3,8},{7}}=>{{1,5},{2,4,6},{3,8},{7}} {{1,4,5},{2,8},{3,6},{7}}=>{{1,5},{2,6},{3,4,8},{7}} {{1,5,7},{2,3,8},{4},{6}}=>{{1,3,5,8},{2,7},{4},{6}} {{1,2,5,7},{3,8},{4},{6}}=>{{1,2,7},{3,5,8},{4},{6}} {{1,6,7},{2,5,8},{3},{4}}=>{{1,5,6,8},{2,7},{3},{4}} {{1,2,7},{3,6,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}} {{1,7,8},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7,8}} {{1,3,6,7},{2,8},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}} {{1,6},{2,4,7,8},{3},{5}}=>{{1,4,6},{2,7,8},{3},{5}} {{1,7},{2,3,5,8},{4},{6}}=>{{1,3,8},{2,5,7},{4},{6}} {{1,6},{2},{3,4,8},{5,7}}=>{{1,4,8},{2},{3,7},{5,6}} {{1,4,7,8},{2},{3,6},{5}}=>{{1,7,8},{2},{3,4,6},{5}} {{1,3},{2,5,8},{4,7},{6}}=>{{1,8},{2,3},{4,5,7},{6}} {{1,4},{2,3,6},{5,7},{8}}=>{{1,3,4},{2,7},{5,6},{8}} {{1,5,7},{2,6,8},{3},{4}}=>{{1,8},{2,5,6,7},{3},{4}} {{1,4},{2,6},{3,5,7},{8}}=>{{1,5,6},{2,7},{3,4},{8}} {{1,4,5},{2},{3,6},{7,8}}=>{{1,5},{2},{3,4,6},{7,8}} {{1,4},{2},{3,5,7,8},{6}}=>{{1,5,7,8},{2},{3,4},{6}} {{1,2},{3,6,7},{4},{5,8}}=>{{1,2},{3,7},{4},{5,6,8}} {{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}} {{1},{2,4,7},{3},{5,6,8}}=>{{1},{2,4,6,7},{3},{5,8}} {{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,8},{4,5,6,7}} {{1,5},{2,4,6},{3},{7,8}}=>{{1,4,5},{2,6},{3},{7,8}} {{1,4,5},{2,6},{3},{7,8}}=>{{1,5},{2,4,6},{3},{7,8}} {{1,3,7},{2,5,8},{4},{6}}=>{{1,8},{2,3,5,7},{4},{6}} {{1,6},{2,4,5,8},{3},{7}}=>{{1,4,8},{2,5,6},{3},{7}} {{1,5},{2,7},{3},{4,6,8}}=>{{1,6,7},{2,8},{3},{4,5}} {{1,5,8},{2,6},{3,7},{4}}=>{{1,8},{2,7},{3,5,6},{4}} {{1,8},{2,5,6},{3,7},{4}}=>{{1,6},{2,5,8},{3,7},{4}} {{1,3,8},{2,6},{4},{5,7}}=>{{1,7},{2,3,8},{4},{5,6}} {{1,2,6,7},{3,8},{4},{5}}=>{{1,2,7},{3,6,8},{4},{5}} {{1,5},{2,6,7},{3},{4,8}}=>{{1,7},{2,6,8},{3},{4,5}} {{1,5,6},{2,4,8},{3},{7}}=>{{1,4,5,8},{2,6},{3},{7}} {{1,6,8},{2,5},{3},{4,7}}=>{{1,8},{2,5},{3},{4,6,7}} {{1,5},{2,6,8},{3},{4,7}}=>{{1,8},{2,6,7},{3},{4,5}} {{1,6,7},{2,5},{3},{4,8}}=>{{1,7},{2,5},{3},{4,6,8}} {{1,5},{2,7},{3,6,8},{4}}=>{{1,6,7},{2,8},{3,5},{4}} {{1,7},{2,5},{3},{4,6,8}}=>{{1,6,7},{2,5},{3},{4,8}} {{1,5},{2,6,7},{3,8},{4}}=>{{1,7},{2,6,8},{3,5},{4}} {{1,3,6},{2},{4,7,8},{5}}=>{{1,3,7,8},{2},{4,6},{5}} {{1,3,7},{2,6},{4},{5,8}}=>{{1,8},{2,3,7},{4},{5,6}} {{1,2,5,8},{3,7},{4},{6}}=>{{1,2,8},{3,5,7},{4},{6}} {{1,3,7},{2,5},{4},{6,8}}=>{{1,8},{2,3,5},{4},{6,7}} {{1,3},{2,4,7},{5},{6,8}}=>{{1,4,8},{2,3},{5},{6,7}} {{1,4},{2,5,8},{3,7},{6}}=>{{1,8},{2,5,7},{3,4},{6}} {{1,2,5,8},{3},{4,6},{7}}=>{{1,2,8},{3},{4,5,6},{7}} {{1,3,7},{2,4},{5,8},{6}}=>{{1,8},{2,3,4},{5,7},{6}} {{1,4},{2,5,7},{3},{6,8}}=>{{1,5,8},{2,4},{3},{6,7}} {{1,3},{2,4,6},{5,8},{7}}=>{{1,4,8},{2,3},{5,6},{7}} {{1,3,6},{2},{4,7},{5},{8}}=>{{1,3,7},{2},{4,6},{5},{8}} {{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}} {{1,4,7},{2,6},{3},{5},{8}}=>{{1,7},{2,4,6},{3},{5},{8}} {{1,4,5,8},{2,7},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}} {{1,5,8},{2,3,7},{4},{6}}=>{{1,3,5,7},{2,8},{4},{6}} {{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}} {{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}} {{1,4,6,7},{2,3,5,8}}=>{{1,3,4,5,6,8},{2,7}} {{1,3,5,7},{2,4,6,8}}=>{{1,8},{2,3,4,5,6,7}} {{1,3,4,7},{2,5,6,8}}=>{{1,4,5,8},{2,3,6,7}} {{1,3,7},{2,6,8},{4},{5}}=>{{1,8},{2,3,6,7},{4},{5}} {{1},{2,6},{3,7},{4},{5},{8}}=>{{1},{2,7},{3,6},{4},{5},{8}} {{1,2,5,6},{3,4,7,8}}=>{{1,2,4,5,7,8},{3,6}} {{1,5,6,7},{2,3,4,8}}=>{{1,3,6,8},{2,4,5,7}} {{1,7},{2,8},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}} {{1,6,7},{2,3,8},{4},{5}}=>{{1,3,6,8},{2,7},{4},{5}} {{1,2,4,6},{3,5,7,8}}=>{{1,2,7,8},{3,4,5,6}} {{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}} {{1,2,3,5},{4,6,7,8}}=>{{1,2,3,6,7,8},{4,5}} {{1,5},{2},{3},{4,8},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}} {{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,7},{3},{4,5},{6},{8}} {{1,2,7},{3},{4,5,8},{6}}=>{{1,2,5,7},{3},{4,8},{6}} {{1,5},{2,3},{4,7,8},{6}}=>{{1,3},{2,7,8},{4,5},{6}} {{1,6},{2,3,8},{4},{5,7}}=>{{1,3,8},{2,7},{4},{5,6}} {{1,6},{2,4},{3,5,7,8}}=>{{1,5,6},{2,4},{3,7,8}} {{1,4},{2,6},{3,5,7,8}}=>{{1,5,6},{2,7,8},{3,4}} {{1,4,8},{2},{3,5,7},{6}}=>{{1,7},{2},{3,4,5,8},{6}} {{1,3,8},{2,5,7},{4},{6}}=>{{1,7},{2,3,5,8},{4},{6}} {{1,5,8},{2,4,7},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}} {{1,3,4,5,7},{2,6,8}}=>{{1,4,8},{2,3,5,6,7}} {{1,7},{2,4},{3,5,6,8}}=>{{1,5,8},{2,4},{3,6,7}} {{1,4,8},{2,6},{3,5,7}}=>{{1,7},{2,5,6},{3,4,8}} {{1},{2,4,8},{3,5,6},{7}}=>{{1},{2,6},{3,4,5,8},{7}} {{1,4,7},{2,5,6},{3},{8}}=>{{1,6},{2,4,5,7},{3},{8}} {{1},{2,5,7},{3,4,8},{6}}=>{{1},{2,4,5,8},{3,7},{6}} {{1},{2,5},{3},{4,8},{6,7}}=>{{1},{2,7},{3},{4,5},{6,8}} {{1},{2,3,6,7},{4,8},{5}}=>{{1},{2,3,7},{4,6,8},{5}} {{1,5},{2,3,7,8},{4},{6}}=>{{1,3,5},{2,7,8},{4},{6}} {{1,4,7,8},{2,6},{3},{5}}=>{{1,7,8},{2,4,6},{3},{5}} {{1,4,6},{2,5,8},{3},{7}}=>{{1,8},{2,4,5,6},{3},{7}} {{1,6},{2,5,8},{3,4,7}}=>{{1,4,7},{2,8},{3,5,6}} {{1,3,6,7},{2,4,5,8}}=>{{1,5,6,8},{2,3,4,7}} {{1,5},{2,7},{3,4,6,8}}=>{{1,4,5},{2,6,7},{3,8}} {{1,7},{2,4,5},{3,6,8}}=>{{1,5},{2,4,8},{3,6,7}} {{1,3,5},{2},{4,8},{6,7}}=>{{1,3,7},{2},{4,5},{6,8}} {{1,3,6,8},{2,7},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}} {{1,3,6},{2},{4,5,8},{7}}=>{{1,3,5,6},{2},{4,8},{7}} {{1,3,6},{2,4},{5,8},{7}}=>{{1,8},{2,3,4},{5,6},{7}} {{1,4,8},{2,5,7},{3},{6}}=>{{1,7},{2,4,5,8},{3},{6}} {{1,5,6},{2,4,7},{3},{8}}=>{{1,4,5,7},{2,6},{3},{8}} {{1,4,7},{2,3,6},{5},{8}}=>{{1,3,4,6},{2,7},{5},{8}} {{1,5},{2,6},{3,4,7},{8}}=>{{1,4,5},{2,7},{3,6},{8}} {{1,2,5},{3,6},{4,7},{8}}=>{{1,2,7},{3,6},{4,5},{8}} {{1,5},{2,3,6},{4,7},{8}}=>{{1,3,6},{2,7},{4,5},{8}} {{1,5},{2,3,4,6},{7},{8}}=>{{1,3,6},{2,4,5},{7},{8}} {{1,2,3,5},{4,6},{7},{8}}=>{{1,2,3,6},{4,5},{7},{8}} {{1,3,5},{2,4,6},{7},{8}}=>{{1,6},{2,3,4,5},{7},{8}} {{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}} {{1,6},{2,4},{3,7,8},{5}}=>{{1,7,8},{2,4},{3,6},{5}} {{1},{2,3,5,6},{4,8},{7}}=>{{1},{2,3,6},{4,5,8},{7}} {{1},{2,3,5},{4,8},{6,7}}=>{{1},{2,3,7},{4,5},{6,8}} {{1},{2,5},{3,4,7,8},{6}}=>{{1},{2,4,5},{3,7,8},{6}} {{1,4,7},{2},{3,6},{5,8}}=>{{1,8},{2},{3,4,7},{5,6}} {{1},{2,3,6},{4,7,8},{5}}=>{{1},{2,3,7,8},{4,6},{5}} {{1,4,5,7},{2,3,6,8}}=>{{1,3,4,8},{2,5,6,7}} {{1,5},{2,3,7},{4,6,8}}=>{{1,3,8},{2,6,7},{4,5}} {{1,5},{2,3,6,8},{4,7}}=>{{1,3,6,7},{2,8},{4,5}} {{1,5},{2,6,8},{3,4,7}}=>{{1,4,5},{2,8},{3,6,7}} {{1,7},{2,4,5,8},{3,6}}=>{{1,5,7},{2,4,6},{3,8}} {{1,6},{2,4,5,8},{3,7}}=>{{1,5,6},{2,4,7},{3,8}} {{1,4,5,7},{2,8},{3,6}}=>{{1,5,8},{2,7},{3,4,6}} {{1,7},{2,5},{3,4,6,8}}=>{{1,4,8},{2,6,7},{3,5}} {{1,4,5,7},{2,6},{3,8}}=>{{1,5,6},{2,7},{3,4,8}} {{1,4,5,8},{2},{3,6},{7}}=>{{1,5,6},{2},{3,4,8},{7}} {{1,6},{2,3,8},{4},{5},{7}}=>{{1,3,6},{2,8},{4},{5},{7}} {{1,6,8},{2,3,7},{4},{5}}=>{{1,3,6,7},{2,8},{4},{5}} {{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}} {{1,5,8},{2,4,6},{3},{7}}=>{{1,4,5,6},{2,8},{3},{7}} {{1},{2,4,5,7},{3},{6,8}}=>{{1},{2,4,5,8},{3},{6,7}} {{1,3},{2,4,5,6,7,8}}=>{{1,4,5,6,7,8},{2,3}} {{1,3},{2,4,5,6},{7,8}}=>{{1,4,5,6},{2,3},{7,8}} {{1,4},{2,3,5,6,7,8}}=>{{1,3,4},{2,5,6,7,8}} {{1,2,4},{3,5,6,7,8}}=>{{1,2,5,6,7,8},{3,4}} {{1,4},{2,3,5,6},{7,8}}=>{{1,3,4},{2,5,6},{7,8}} {{1,2,4},{3,5,6},{7,8}}=>{{1,2,5,6},{3,4},{7,8}} {{1,5},{2,3,4,6,7,8}}=>{{1,3,6,7,8},{2,4,5}} {{1,4},{2},{3,5,6,7,8}}=>{{1,5,6,7,8},{2},{3,4}} {{1,5},{2,3,4,6},{7,8}}=>{{1,3,6},{2,4,5},{7,8}} {{1,2,3,5},{4,6},{7,8}}=>{{1,2,3,6},{4,5},{7,8}} {{1,5},{2,3},{4,6},{7},{8}}=>{{1,3},{2,6},{4,5},{7},{8}} {{1,2,4},{3,5},{6},{7},{8}}=>{{1,2,5},{3,4},{6},{7},{8}} {{1,2,3,4,5,7},{6,8}}=>{{1,2,3,4,5,8},{6,7}} {{1,2},{3,4,5,7},{6,8}}=>{{1,2},{3,4,5,8},{6,7}} {{1,2,3,4,6,7},{5,8}}=>{{1,2,3,4,7},{5,6,8}} {{1,2},{3,4,6,7},{5,8}}=>{{1,2},{3,4,7},{5,6,8}} {{1,2,4,5,6},{3,8},{7}}=>{{1,2,5,8},{3,4,6},{7}} {{1,2,4,6,7},{3,8},{5}}=>{{1,2,6,8},{3,4,7},{5}} {{1,2,4,7,8},{3,6},{5}}=>{{1,2,7,8},{3,4,6},{5}} {{1,2,3,4,6,8},{5,7}}=>{{1,2,3,4,8},{5,6,7}} {{1,2},{3,4,6,8},{5,7}}=>{{1,2},{3,4,8},{5,6,7}} {{1,3,5,6,7,8},{2,4}}=>{{1,5,6,7,8},{2,3,4}} {{1,3,5,6},{2,4},{7,8}}=>{{1,5,6},{2,3,4},{7,8}} {{1,2,3,4,6},{5,7,8}}=>{{1,2,3,4,7,8},{5,6}} {{1,2,4,7},{3,6},{5,8}}=>{{1,2,8},{3,4,7},{5,6}} {{1,2,4,5},{3,6},{7,8}}=>{{1,2,5},{3,4,6},{7,8}} {{1,3,4,6},{2,5},{7,8}}=>{{1,4,5},{2,3,6},{7,8}} {{1,3,4,7},{2,5},{6,8}}=>{{1,4,5},{2,3,8},{6,7}} {{1,3,4,6,7,8},{2,5}}=>{{1,4,5},{2,3,6,7,8}} {{1,3,4,5,7,8},{2,6}}=>{{1,4,7,8},{2,3,5,6}} {{1,3,4,7},{2,6},{5,8}}=>{{1,4,7},{2,3,8},{5,6}} {{1,4},{2,3,5,7},{6,8}}=>{{1,3,4},{2,5,8},{6,7}} {{1,3},{2,4,5,7},{6,8}}=>{{1,4,5,8},{2,3},{6,7}} {{1,3},{2,4,6,7},{5,8}}=>{{1,4,7},{2,3},{5,6,8}} {{1,4},{2,3,6,7},{5,8}}=>{{1,3,4},{2,7},{5,6,8}} {{1,5},{2,3,6,7},{4,8}}=>{{1,3,6,8},{2,7},{4,5}} {{1,2,3,5,6,7},{4,8}}=>{{1,2,3,6,8},{4,5,7}} {{1,3,5,7},{2,6},{4,8}}=>{{1,7},{2,3,5,6},{4,8}} {{1,2,5,6},{3,7},{4,8}}=>{{1,2,6},{3,8},{4,5,7}} {{1,2,4,5},{3,7},{6,8}}=>{{1,2,5},{3,4,8},{6,7}} {{1,2,4,6},{3,7},{5,8}}=>{{1,2,8},{3,4,6},{5,7}} {{1,2,3,6},{4,7},{5,8}}=>{{1,2,3,8},{4,7},{5,6}} {{1,2,3,5},{4,7},{6,8}}=>{{1,2,3,8},{4,5},{6,7}} {{1,2,3,4},{5,7},{6,8}}=>{{1,2,3,4},{5,8},{6,7}} {{1,3},{2,4},{5,6,7,8}}=>{{1,4},{2,3},{5,6,7,8}} {{1,2,3,6},{4,5,7,8}}=>{{1,2,3,5,6},{4,7,8}} {{1,2,3,5,6,8},{4,7}}=>{{1,2,3,6,7},{4,5,8}} {{1,2,4,5,6,8},{3,7}}=>{{1,2,5,8},{3,4,6,7}} {{1,2,4,5},{3,6,7,8}}=>{{1,2,5},{3,4,6,7,8}} {{1,4},{2,5},{3,6,7,8}}=>{{1,6,7,8},{2,5},{3,4}} {{1,3},{2,5},{4,6,7,8}}=>{{1,6,7,8},{2,3},{4,5}} {{1,2},{3,5},{4,6,7,8}}=>{{1,2},{3,6,7,8},{4,5}} {{1,2},{3,6},{4,5,7,8}}=>{{1,2},{3,5,6},{4,7,8}} {{1,3},{2,6},{4,5,7,8}}=>{{1,5,6},{2,3},{4,7,8}} {{1,5},{2,6},{3,4,7,8}}=>{{1,4,5},{2,7,8},{3,6}} {{1,4,5,8},{2,6},{3,7}}=>{{1,5,6},{2,8},{3,4,7}} {{1,2},{3,5,6,8},{4,7}}=>{{1,2},{3,6,7},{4,5,8}} {{1,3},{2,5,6,8},{4,7}}=>{{1,6,7},{2,3},{4,5,8}} {{1,4},{2,5,6,8},{3,7}}=>{{1,6,7},{2,5,8},{3,4}} {{1,5},{2,4,6,8},{3,7}}=>{{1,6,7},{2,4,5},{3,8}} {{1,4,5,8},{2,3,6,7}}=>{{1,3,4,7},{2,5,6,8}} {{1,6},{2,4},{3,7},{5},{8}}=>{{1,7},{2,4},{3,6},{5},{8}} {{1,5,6},{2,3,4,7},{8}}=>{{1,3,6},{2,4,5,7},{8}} {{1,5,6},{2,3,4,7,8}}=>{{1,3,6},{2,4,5,7,8}} {{1,7},{2,8},{3,4},{5},{6}}=>{{1,4},{2,8},{3,7},{5},{6}} {{1,6,7},{2,3,4,8},{5}}=>{{1,3,7},{2,4,6,8},{5}} {{1,5,6,7},{2,4,8},{3}}=>{{1,4,5,7},{2,6,8},{3}} {{1,5,7},{2,4,6,8},{3}}=>{{1,4,5,6,7},{2,8},{3}} {{1,5},{2,3},{4,6,7},{8}}=>{{1,3},{2,6,7},{4,5},{8}} {{1,5},{2,3},{4,6,7,8}}=>{{1,3},{2,6,7,8},{4,5}} {{1,5},{2,3},{4,6,8},{7}}=>{{1,3},{2,6,8},{4,5},{7}} {{1,5,6},{2,3,4,8},{7}}=>{{1,3,6},{2,4,5,8},{7}} {{1,6},{2,4},{3,8},{5},{7}}=>{{1,8},{2,4},{3,6},{5},{7}} {{1,5},{2,3},{4,8},{6},{7}}=>{{1,3},{2,8},{4,5},{6},{7}} {{1,5},{2,3},{4,7},{6},{8}}=>{{1,3},{2,7},{4,5},{6},{8}} {{1,6},{2,5},{3,4,7,8}}=>{{1,4,6},{2,7,8},{3,5}} {{1,5,6,8},{2,3,4,7}}=>{{1,3,6,7},{2,4,5,8}} {{1,2,6},{3,8},{4},{5,7}}=>{{1,2,7},{3,8},{4},{5,6}} {{1},{2,6},{3,8},{4},{5,7}}=>{{1},{2,7},{3,8},{4},{5,6}} {{1},{2,5,6,7},{3,4,8}}=>{{1},{2,4,5,7},{3,6,8}} {{1,2,5,6,7},{3,4,8}}=>{{1,2,4,5,7},{3,6,8}} {{1,7},{2,8},{3},{4},{5,6}}=>{{1,6},{2,8},{3},{4},{5,7}} {{1,5,6,7},{2,3,8},{4}}=>{{1,3,5,7},{2,6,8},{4}} {{1,5,7},{2,3,4,8},{6}}=>{{1,3,7},{2,4,5,8},{6}} {{1,3,5,7},{2,4,8},{6}}=>{{1,7},{2,3,4,5,8},{6}} {{1,2,3,5},{4,8},{6,7}}=>{{1,2,3,7},{4,5},{6,8}} {{1,5,6,7},{2},{3,4,8}}=>{{1,4,5,7},{2},{3,6,8}} {{1,6},{2},{3,8},{4},{5,7}}=>{{1,7},{2},{3,8},{4},{5,6}} {{1},{2},{3,5},{4,8},{6,7}}=>{{1},{2},{3,7},{4,5},{6,8}} {{1,2,5},{3},{4,8},{6,7}}=>{{1,2,7},{3},{4,5},{6,8}} {{1,5},{2},{3},{4,8},{6,7}}=>{{1,7},{2},{3},{4,5},{6,8}} {{1,2,4,6},{3,8},{5,7}}=>{{1,2,7},{3,4,6},{5,8}} {{1,2,5,6},{3,8},{4,7}}=>{{1,2,6},{3,7},{4,5,8}} {{1,3,4,8},{2,5,6,7}}=>{{1,4,5,7},{2,3,6,8}} {{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}} {{1,3},{2,5,6,7,8},{4}}=>{{1,5,6,7,8},{2,3},{4}} {{1},{2},{3,7},{4},{5,6,8}}=>{{1},{2},{3,6,7},{4},{5,8}} {{1},{2,3,6},{4,8},{5},{7}}=>{{1},{2,3,8},{4,6},{5},{7}} {{1,3,6,7},{2,4},{5,8}}=>{{1,7},{2,3,4},{5,6,8}} {{1,3,4,5,8},{2,6,7}}=>{{1,4,7},{2,3,5,6,8}} {{1,3,4,5,6,8},{2,7}}=>{{1,4,6,7},{2,3,5,8}} {{1,3,7},{2,5,6,8},{4}}=>{{1,6,7},{2,3,5,8},{4}} {{1},{2,4,7,8},{3,5,6}}=>{{1},{2,6},{3,4,5,7,8}} {{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}} {{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}} {{1,2,4,5,7,8},{3,6}}=>{{1,2,5,6},{3,4,7,8}} {{1,4,5,6,8},{2,3,7}}=>{{1,3,4,6,7},{2,5,8}} {{1},{2,3,7},{4,5,6,8}}=>{{1},{2,3,5,8},{4,6,7}} {{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}} {{1,2,3,6},{4,5,8},{7}}=>{{1,2,3,5,6},{4,8},{7}} {{1,3,4,6},{2,5,7,8}}=>{{1,4,5,6},{2,3,7,8}} {{1},{2},{3,4,7},{5},{6,8}}=>{{1},{2},{3,4,8},{5},{6,7}} {{1,2,3,6,7},{4,5,8}}=>{{1,2,3,5,6,8},{4,7}} {{1,2,3,6,8},{4,7},{5}}=>{{1,2,3,8},{4,6,7},{5}} {{1,2,3,7},{4,5,6,8}}=>{{1,2,3,5,8},{4,6,7}} {{1,3,4,5,8},{2,7},{6}}=>{{1,4,8},{2,3,5,7},{6}} {{1,3,5,8},{2,4,7},{6}}=>{{1,8},{2,3,4,5,7},{6}} {{1,5},{2,6},{3},{4},{7,8}}=>{{1,6},{2,5},{3},{4},{7,8}} {{1,8},{2,5},{3},{4,7},{6}}=>{{1,7},{2,5},{3},{4,8},{6}} {{1,8},{2,5},{3,7},{4},{6}}=>{{1,7},{2,5},{3,8},{4},{6}} {{1,7},{2,5},{3,8},{4},{6}}=>{{1,8},{2,5},{3,7},{4},{6}} {{1,7},{2,8},{3,6},{4},{5}}=>{{1,6},{2,8},{3,7},{4},{5}} {{1,2},{3,7},{4,8},{5},{6}}=>{{1,2},{3,8},{4,7},{5},{6}} {{1,7},{2,8},{3},{4,6},{5}}=>{{1,6},{2,8},{3},{4,7},{5}} {{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,8},{3},{4,6},{5}} {{1,5},{2,7},{3},{4,8},{6}}=>{{1,8},{2,7},{3},{4,5},{6}} {{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,8},{3},{4,5},{6}} {{1,2,3,4,6},{5,8},{7}}=>{{1,2,3,4,8},{5,6},{7}} {{1,2,6},{3,4,5,8},{7}}=>{{1,2,4,8},{3,5,6},{7}} {{1,2,4,8},{3,5,6},{7}}=>{{1,2,6},{3,4,5,8},{7}} {{1,4,8},{2,3,5,6},{7}}=>{{1,3,4,5,8},{2,6},{7}} {{1,3,5,6},{2,4,8},{7}}=>{{1,6},{2,3,4,5,8},{7}} {{1,5},{2,3,4,8},{6,7}}=>{{1,3,7},{2,4,5},{6,8}} {{1,3,5},{2,4,8},{6,7}}=>{{1,7},{2,3,4,5},{6,8}} {{1,4,8},{2,3,5},{6,7}}=>{{1,3,4,5},{2,7},{6,8}} {{1,2,4,8},{3,5},{6,7}}=>{{1,2,7},{3,4,5},{6,8}} {{1,5,8},{2,3,4,6,7}}=>{{1,3,7},{2,4,5,6,8}} {{1,3,4},{2,5,6,7,8}}=>{{1,4},{2,3,5,6,7,8}} {{1,4,6,7},{2,3,8},{5}}=>{{1,3,4,7},{2,6,8},{5}} {{1,3,8},{2,4,6,7},{5}}=>{{1,6,8},{2,3,4,7},{5}} {{1,3,5},{2,8},{4,6,7}}=>{{1,6,8},{2,3,5},{4,7}} {{1,4,7,8},{2,3,6},{5}}=>{{1,3,4,6},{2,7,8},{5}} {{1,2,3,6,8},{4,5,7}}=>{{1,2,3,5,6,7},{4,8}} {{1,2,5,6,8},{3,4,7}}=>{{1,2,4,5,8},{3,6,7}} {{1,2,6,8},{3,4,5,7}}=>{{1,2,4,8},{3,5,6,7}} {{1,6},{2,3,5},{4,7,8}}=>{{1,3,5},{2,7,8},{4,6}} {{1,2,6},{3,5},{4,7,8}}=>{{1,2,7,8},{3,5},{4,6}} {{1,2,5},{3,6},{4,7,8}}=>{{1,2,7,8},{3,6},{4,5}} {{1,5},{2,3,6},{4,7,8}}=>{{1,3,6},{2,7,8},{4,5}} {{1,4,7,8},{2,6},{3,5}}=>{{1,7,8},{2,5},{3,4,6}} {{1,2,7,8},{3,5},{4,6}}=>{{1,2,6},{3,5},{4,7,8}} {{1,7,8},{2,3,5},{4,6}}=>{{1,3,5},{2,6},{4,7,8}} {{1,7,8},{2,5},{3,4,6}}=>{{1,4,7,8},{2,6},{3,5}} {{1,7,8},{2,4,6},{3,5}}=>{{1,6},{2,4,7,8},{3,5}} {{1,3,6,8},{2,4,5,7}}=>{{1,5,6,7},{2,3,4,8}} {{1},{2,6,7},{3,8},{4},{5}}=>{{1},{2,7},{3,6,8},{4},{5}} {{1,6,7},{2},{3,8},{4},{5}}=>{{1,7},{2},{3,6,8},{4},{5}} {{1,2,5,7},{3,4,8},{6}}=>{{1,2,4,5,8},{3,7},{6}} {{1,3,4,8},{2,5,7},{6}}=>{{1,4,5,8},{2,3,7},{6}} {{1,3,8},{2,6,7},{4},{5}}=>{{1,7},{2,3,6,8},{4},{5}} {{1,4,8},{2,3,5,7},{6}}=>{{1,3,4,5,8},{2,7},{6}} {{1,2,4,8},{3,5,7},{6}}=>{{1,2,7},{3,4,5,8},{6}} {{1,2,5,7},{3},{4,6,8}}=>{{1,2,8},{3},{4,5,6,7}} {{1,7},{2,3,4,5,6,8}}=>{{1,3,5,8},{2,4,6,7}} {{1,4,6,7,8},{2,3,5}}=>{{1,3,4,5},{2,6,7,8}} {{1,2,4,6,7,8},{3,5}}=>{{1,2,6,7,8},{3,4,5}} {{1,2,6,7},{3,4,5,8}}=>{{1,2,4,7},{3,5,6,8}} {{1,3,4,6},{2,7},{5,8}}=>{{1,4,6},{2,3,8},{5,7}} {{1,3,6,7,8},{2,4,5}}=>{{1,5},{2,3,4,6,7,8}} {{1,3,4,6,7},{2,5,8}}=>{{1,4,5,6,8},{2,3,7}} {{1,6},{2,5,7,8},{3,4}}=>{{1,4},{2,5,6},{3,7,8}} {{1,6},{2,3,4,5,7,8}}=>{{1,3,5,6},{2,4,7,8}} {{1,3,5},{2,6,8},{4,7}}=>{{1,8},{2,3,5},{4,6,7}} {{1,6},{2,3,7},{4,5,8}}=>{{1,3,8},{2,5,6},{4,7}} {{1,2,3,6,7},{4},{5,8}}=>{{1,2,3,7},{4},{5,6,8}} {{1,2,3,5,6},{4,7,8}}=>{{1,2,3,6},{4,5,7,8}} {{1,3,5},{2,6},{4,7,8}}=>{{1,7,8},{2,3,5},{4,6}} {{1,4,5,7,8},{2,3,6}}=>{{1,3,4,7,8},{2,5,6}} {{1,2,5,6,8},{3,7},{4}}=>{{1,2,6,7},{3,5,8},{4}} {{1,2,4,5,7},{3,6,8}}=>{{1,2,5,6,7},{3,4,8}} {{1,3,5,7,8},{2,4,6}}=>{{1,7,8},{2,3,4,5,6}} {{1,3,7},{2,4,6},{5,8}}=>{{1,8},{2,3,4,6},{5,7}} {{1,5,7},{2,3,6,8},{4}}=>{{1,3,5,6,7},{2,8},{4}} {{1,3,7},{2,4,5,8},{6}}=>{{1,5,7},{2,3,4,8},{6}} {{1,3,7},{2,4,5,6,8}}=>{{1,5,8},{2,3,4,6,7}} {{1,3,4,7,8},{2,6},{5}}=>{{1,4,6},{2,3,7,8},{5}} {{1,2,4,6,7},{3,5,8}}=>{{1,2,7},{3,4,5,6,8}} {{1,5,8},{2,4,6},{3,7}}=>{{1,8},{2,4,5,7},{3,6}} {{1,2,5},{3,6,8},{4,7}}=>{{1,2,8},{3,6,7},{4,5}} {{1,2,4,5,6,7},{3,8}}=>{{1,2,5,7},{3,4,6,8}} {{1,6},{2,3,4,7,8},{5}}=>{{1,3,7,8},{2,4,6},{5}} {{1,2,5,8},{3,4,6,7}}=>{{1,2,4,5,6,8},{3,7}} {{1,2,5,8},{3,4,6},{7}}=>{{1,2,4,5,6},{3,8},{7}} {{1,3},{2,4,5,6,8},{7}}=>{{1,4,5,6,8},{2,3},{7}} {{1,6,7},{2,3,4,5,8}}=>{{1,3,5,6,8},{2,4,7}} {{1,7},{2,3,4},{5,6,8}}=>{{1,3,6,7},{2,4},{5,8}} {{1,2,3,4,7},{5,6,8}}=>{{1,2,3,4,6,7},{5,8}} {{1,4,5},{2,3,7,8},{6}}=>{{1,3,4,7,8},{2,5},{6}} {{1,2,4,5},{3,7,8},{6}}=>{{1,2,5},{3,4,7,8},{6}} {{1,5,7,8},{2,3,4,6}}=>{{1,3,7,8},{2,4,5,6}} {{1,4,6,8},{2,3,5,7}}=>{{1,3,4,5,6,7},{2,8}} {{1,3,4,7,8},{2,5,6}}=>{{1,4,5,7,8},{2,3,6}} {{1,2,4,7},{3,6,8},{5}}=>{{1,2,8},{3,4,6,7},{5}} {{1,4,8},{2,3,6,7},{5}}=>{{1,3,4,6,8},{2,7},{5}} {{1,3,7},{2,4,8},{5,6}}=>{{1,6},{2,3,4,8},{5,7}} {{1,3,7},{2,6},{4,5,8}}=>{{1,5,6},{2,3,8},{4,7}} {{1,2,6},{3,7},{4,5,8}}=>{{1,2,5,6},{3,8},{4,7}} {{1,2,5},{3,4,8},{6,7}}=>{{1,2,4,5},{3,7},{6,8}} {{1,2},{3,4,6},{5,7,8}}=>{{1,2},{3,4,7,8},{5,6}} {{1,2,3},{4,7},{5,6,8}}=>{{1,2,3},{4,6,7},{5,8}} {{1,2,3,5,8},{4,6,7}}=>{{1,2,3,7},{4,5,6,8}} {{1,2,6},{3,4,5,7,8}}=>{{1,2,4,7,8},{3,5,6}} {{1,2,5,7,8},{3,4,6}}=>{{1,2,4,5,6},{3,7,8}} {{1,2,5,8},{3,6,7},{4}}=>{{1,2,7},{3,5,6,8},{4}} {{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,7},{4,5,6,8}} {{1,5},{2,6,7,8},{3,4}}=>{{1,4},{2,6,7,8},{3,5}} {{1,2,4,6,8},{3,5,7}}=>{{1,2,8},{3,4,5,6,7}} {{1,7},{2,6,8},{3,4,5}}=>{{1,4,8},{2,5},{3,6,7}} {{1,2,6},{3,5,7,8},{4}}=>{{1,2,5,6},{3,7,8},{4}} {{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}} {{1,7,8},{2,4},{3,5,6}}=>{{1,5,7,8},{2,4},{3,6}} {{1,3,5},{2},{4,6},{7},{8}}=>{{1,3,6},{2},{4,5},{7},{8}} {{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}} {{1,3,7},{2},{4},{5},{6,8}}=>{{1,3,8},{2},{4},{5},{6,7}} {{1,3,6},{2},{4},{5,8},{7}}=>{{1,3,8},{2},{4},{5,6},{7}} {{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}} {{1},{2},{3,7},{4,8},{5},{6}}=>{{1},{2},{3,8},{4,7},{5},{6}} {{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}} {{1,3,7},{2,4},{5},{6},{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}} {{1,6},{2},{3},{4},{5,8},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}} {{1,4,7},{2,5},{3},{6},{8}}=>{{1,7},{2,4,5},{3},{6},{8}} {{1,4},{2,6},{3},{5,8},{7}}=>{{1,8},{2,4},{3},{5,6},{7}} {{1,5},{2,6},{3},{4,8},{7}}=>{{1,8},{2,6},{3},{4,5},{7}} {{1,5},{2,6},{3},{4},{7},{8}}=>{{1,6},{2,5},{3},{4},{7},{8}} {{1,3},{2,6},{4,7},{5},{8}}=>{{1,7},{2,3},{4,6},{5},{8}} {{1,4},{2,5},{3,6},{7},{8}}=>{{1,6},{2,5},{3,4},{7},{8}} {{1,3},{2,5},{4,6},{7},{8}}=>{{1,6},{2,3},{4,5},{7},{8}} {{1,3,5},{2,4},{6},{7},{8}}=>{{1,5},{2,3,4},{6},{7},{8}} {{1,5,7},{2},{3},{4},{6,8}}=>{{1,5,8},{2},{3},{4},{6,7}} {{1,5},{2},{3},{4,6},{7},{8}}=>{{1,6},{2},{3},{4,5},{7},{8}} {{1,4},{2},{3,6},{5},{7},{8}}=>{{1,6},{2},{3,4},{5},{7},{8}} {{1},{2,5},{3,6},{4},{7},{8}}=>{{1},{2,6},{3,5},{4},{7},{8}} {{1,4,6},{2},{3,5,7},{8}}=>{{1,7},{2},{3,4,5,6},{8}} {{1,6},{2},{3},{4,7},{5},{8}}=>{{1,7},{2},{3},{4,6},{5},{8}} {{1,6},{2},{3},{4,7},{5,8}}=>{{1,8},{2},{3},{4,7},{5,6}} {{1,5},{2},{3},{4,7},{6,8}}=>{{1,8},{2},{3},{4,5},{6,7}} {{1,5,7},{2},{3},{4,6},{8}}=>{{1,7},{2},{3},{4,5,6},{8}} {{1,4,7},{2},{3,6},{5},{8}}=>{{1,7},{2},{3,4,6},{5},{8}} {{1,4},{2},{3,7},{5},{6,8}}=>{{1,8},{2},{3,4},{5},{6,7}} {{1,5},{2},{3,7},{4,8},{6}}=>{{1,8},{2},{3,7},{4,5},{6}} {{1,5},{2},{3,7},{4},{6},{8}}=>{{1,7},{2},{3,5},{4},{6},{8}} {{1,7},{2,5},{3,6},{4},{8}}=>{{1,6},{2,5},{3,7},{4},{8}} {{1},{2,6},{3},{4,8},{5},{7}}=>{{1},{2,8},{3},{4,6},{5},{7}} {{1,3,4,5,7},{2,6},{8}}=>{{1,4,7},{2,3,5,6},{8}} {{1,3,5,7},{2,4,6},{8}}=>{{1,7},{2,3,4,5,6},{8}} {{1,4,7},{2,3,5,6},{8}}=>{{1,3,4,5,7},{2,6},{8}} {{1,5},{2,7},{3,8},{4},{6}}=>{{1,8},{2,7},{3,5},{4},{6}} {{1,5},{2,3,6,7,8},{4}}=>{{1,3,5},{2,6,7,8},{4}} {{1,3,6},{2},{4,8},{5},{7}}=>{{1,3,8},{2},{4,6},{5},{7}} {{1,2,4,5,6},{3,7,8}}=>{{1,2,5,7,8},{3,4,6}} {{1,2,5,6},{3,7,8},{4}}=>{{1,2,6},{3,5,7,8},{4}} {{1,3,4,6,8},{2,7},{5}}=>{{1,4,8},{2,3,6,7},{5}} {{1,5},{2,3,4,7,8},{6}}=>{{1,3,7,8},{2,4,5},{6}} {{1,4,5,8},{2,3,7},{6}}=>{{1,3,4,8},{2,5,7},{6}} {{1,4,6},{2,3,7,8},{5}}=>{{1,3,4,7,8},{2,6},{5}} {{1,4,5,6},{2,7},{3,8}}=>{{1,5,7},{2,6},{3,4,8}} {{1,4,5,6},{2,3,7,8}}=>{{1,3,4,6},{2,5,7,8}} {{1,4,6},{2,3,5,7,8}}=>{{1,3,4,5,6},{2,7,8}} {{1,5},{2,4,6,7},{3,8}}=>{{1,6,8},{2,4,5},{3,7}} {{1,3,5,6,7},{2},{4,8}}=>{{1,3,6,8},{2},{4,5,7}} {{1,2,5,6},{3,4,8},{7}}=>{{1,2,4,5,8},{3,6},{7}} {{1,4,5,6,8},{2,7},{3}}=>{{1,5,8},{2,4,6,7},{3}} {{1,4,5,8},{2,6,7},{3}}=>{{1,5,6,8},{2,4,7},{3}} {{1,5},{2,6,7},{3,4,8}}=>{{1,4,5},{2,7},{3,6,8}} {{1,3,6},{2},{4,5,7,8}}=>{{1,3,5,6},{2},{4,7,8}} {{1,4,6},{2,7},{3,5,8}}=>{{1,8},{2,5,7},{3,4,6}} {{1,4,6},{2,5,7},{3,8}}=>{{1,7},{2,6},{3,4,5,8}} {{1,3,5,7},{2},{4,6,8}}=>{{1,3,8},{2},{4,5,6,7}} {{1,5},{2,4,7},{3,6,8}}=>{{1,8},{2,4,5},{3,6,7}} {{1,3,4,6,8},{2,5,7}}=>{{1,4,5,6,7},{2,3,8}} {{1,8},{2,3,4,6},{5,7}}=>{{1,3,7},{2,4,6},{5,8}} {{1,8},{2,3,5,6},{4,7}}=>{{1,3,5,8},{2,6},{4,7}} {{1,8},{2,4},{3,5,6,7}}=>{{1,5,7},{2,4},{3,6,8}} {{1,8},{2,5},{3,4,6,7}}=>{{1,4,7},{2,6,8},{3,5}} {{1,8},{2,4,5,7},{3,6}}=>{{1,5,8},{2,4,6},{3,7}} {{1,7},{2,3},{4,5,6,8}}=>{{1,3},{2,5,8},{4,6,7}} {{1,6},{2,3},{4,5,7,8}}=>{{1,3},{2,5,6},{4,7,8}} {{1,7},{2,3,5,6},{4,8}}=>{{1,3,5,7},{2,6},{4,8}} {{1,6},{2,3,5,7},{4,8}}=>{{1,3,5,6},{2,7},{4,8}} {{1,6},{2,3,4,7},{5,8}}=>{{1,3,8},{2,4,7},{5,6}} {{1,7},{2,3,4,6},{5,8}}=>{{1,3,8},{2,4,6},{5,7}} {{1,7},{2,3,4,5},{6,8}}=>{{1,3,5},{2,4,8},{6,7}} {{1,6,7,8},{2,4},{3,5}}=>{{1,5},{2,4},{3,6,7,8}} {{1,4,7,8},{2,3,5,6}}=>{{1,3,4,5,7,8},{2,6}} {{1,4,7,8},{2,5},{3,6}}=>{{1,7,8},{2,6},{3,4,5}} {{1,5,7,8},{2,4},{3,6}}=>{{1,7,8},{2,4},{3,5,6}} {{1,5,7,8},{2,3},{4,6}}=>{{1,3},{2,7,8},{4,5,6}} {{1,5,6,8},{2,3},{4,7}}=>{{1,3},{2,6,7},{4,5,8}} {{1,5,6,8},{2,4},{3,7}}=>{{1,6,7},{2,4},{3,5,8}} {{1,4,6,8},{2,5},{3,7}}=>{{1,6,7},{2,8},{3,4,5}} {{1,4,6,7},{2,3},{5,8}}=>{{1,3},{2,4,7},{5,6,8}} {{1,3,6,7},{2,5},{4,8}}=>{{1,7},{2,3,6,8},{4,5}} {{1,4,6,7,8},{2,5},{3}}=>{{1,6,7,8},{2,4,5},{3}} {{1,4,7,8},{2},{3,5},{6}}=>{{1,7,8},{2},{3,4,5},{6}} {{1,4,7},{2,3,5,6,8}}=>{{1,3,4,5,8},{2,6,7}} {{1},{2,4,6},{3},{5,7,8}}=>{{1},{2,4,7,8},{3},{5,6}} {{1,2,4,5,7},{3},{6,8}}=>{{1,2,4,5,8},{3},{6,7}} {{1,4,5},{2},{3,6,7,8}}=>{{1,5},{2},{3,4,6,7,8}} {{1,6,7},{2,4,5,8},{3}}=>{{1,4,7},{2,5,6,8},{3}} {{1,3,4,6,8},{2},{5,7}}=>{{1,3,4,8},{2},{5,6,7}} {{1},{2,5,7},{3},{4,6,8}}=>{{1},{2,8},{3},{4,5,6,7}} {{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,8},{4,5,6,7}} {{1,2,3,5,7},{4,6,8}}=>{{1,2,3,8},{4,5,6,7}} {{1,2},{3,5,7},{4,6,8}}=>{{1,2},{3,8},{4,5,6,7}} {{1,2,3},{4,6},{5,7,8}}=>{{1,2,3},{4,7,8},{5,6}} {{1,3,4,5,7},{2},{6,8}}=>{{1,3,4,5,8},{2},{6,7}} {{1,2,4},{3,5,7},{6,8}}=>{{1,2,5,8},{3,4},{6,7}} {{1,4,5,7,8},{2},{3,6}}=>{{1,5,6},{2},{3,4,7,8}} {{1,2,4,6,8},{3,7},{5}}=>{{1,2,6,7},{3,4,8},{5}} {{1,2,5,6,7},{3},{4,8}}=>{{1,2,6,8},{3},{4,5,7}} {{1,4,6,8},{2},{3,5,7}}=>{{1,8},{2},{3,4,5,6,7}} {{1,5,8},{2},{3,4,6,7}}=>{{1,4,5,6,8},{2},{3,7}} {{1,5,6},{2,4,7},{3,8}}=>{{1,6},{2,4,5,8},{3,7}} {{1,3,6,7},{2,4,8},{5}}=>{{1,7},{2,3,4,6,8},{5}} {{1},{2,5,8},{3,4,6,7}}=>{{1},{2,4,5,6,8},{3,7}} {{1,2,4,8},{3,7},{5,6}}=>{{1,2,6},{3,4,8},{5,7}} {{1,3,4,5,7},{2,8},{6}}=>{{1,4,7},{2,3,5,8},{6}} {{1,3,4,7},{2,5,8},{6}}=>{{1,4,5,7},{2,3,8},{6}} {{1,3,4,5,6,7},{2,8}}=>{{1,4,6,8},{2,3,5,7}} {{1,3,4,7},{2,8},{5,6}}=>{{1,4,7},{2,3,6},{5,8}} {{1,2,3,5,7,8},{4,6}}=>{{1,2,3,7,8},{4,5,6}} {{1,3,5,7},{2,8},{4,6}}=>{{1,7},{2,3,5,8},{4,6}} {{1,2,5,8},{3,7},{4,6}}=>{{1,2,8},{3,6},{4,5,7}} {{1,4,5,6},{2,8},{3,7}}=>{{1,5,8},{2,6},{3,4,7}} {{1,5,6},{2,4,7,8},{3}}=>{{1,4,5,7,8},{2,6},{3}} {{1,5,6,8},{2,4,7},{3}}=>{{1,4,5,8},{2,6,7},{3}} {{1,6,7},{2,4},{3,8},{5}}=>{{1,7},{2,4},{3,6,8},{5}} {{1,5,8},{2,4,6,7},{3}}=>{{1,4,5,6,8},{2,7},{3}} {{1,5,7,8},{2,4,6},{3}}=>{{1,4,5,6},{2,7,8},{3}} {{1,6},{2,3,7},{4},{5},{8}}=>{{1,3,6},{2,7},{4},{5},{8}} {{1,2,5},{3,4,6},{7,8}}=>{{1,2,4,5},{3,6},{7,8}} {{1,4,6},{2,3,5},{7,8}}=>{{1,3,4,5},{2,6},{7,8}} {{1,4,8},{2,3,7},{5,6}}=>{{1,3,4,8},{2,6},{5,7}} {{1,3,5,8},{2,4},{6,7}}=>{{1,5,7},{2,3,4},{6,8}} {{1,2},{3,4,7},{5,6,8}}=>{{1,2},{3,4,6,7},{5,8}} {{1,4,7},{2,3},{5,6,8}}=>{{1,3},{2,4,6,7},{5,8}} {{1,3,7},{2,4},{5,6,8}}=>{{1,6,7},{2,3,4},{5,8}} {{1,3,7},{2,6,8},{4,5}}=>{{1,5},{2,3,8},{4,6,7}} {{1,7},{2,3,5,8},{4,6}}=>{{1,3,5,7},{2,8},{4,6}} {{1,2,6},{3,8},{4,5,7}}=>{{1,2,5,6},{3,7},{4,8}} {{1,2,8},{3,4,6},{5,7}}=>{{1,2,4,6},{3,7},{5,8}} {{1,2,5},{3,4,6,7,8}}=>{{1,2,4,5},{3,6,7,8}} {{1,2},{3,5,7,8},{4,6}}=>{{1,2},{3,7,8},{4,5,6}} {{1,5,7,8},{2,6},{3,4}}=>{{1,4},{2,7,8},{3,5,6}} {{1,5,8},{2,7},{3,4,6}}=>{{1,4,5,7},{2,8},{3,6}} {{1,2},{3,6,8},{4,5,7}}=>{{1,2},{3,5,6,7},{4,8}} {{1,6,8},{2,3},{4,5,7}}=>{{1,3},{2,5,6,7},{4,8}} {{1,6,8},{2,5,7},{3,4}}=>{{1,4},{2,5,6,7},{3,8}} {{1,6,8},{2,4,7},{3,5}}=>{{1,8},{2,4,6,7},{3,5}} {{1,3,4},{2,5,6},{7,8}}=>{{1,4},{2,3,5,6},{7,8}} {{1,3,4},{2,5,8},{6,7}}=>{{1,4},{2,3,5,7},{6,8}} {{1,3,4},{2,8},{5,6,7}}=>{{1,4},{2,3,6,8},{5,7}} {{1,3,6,7},{2,8},{4,5}}=>{{1,5},{2,3,6,8},{4,7}} {{1,8},{2,3,6},{4,5,7}}=>{{1,3,7},{2,5,8},{4,6}} {{1,2,7},{3,4,5,6,8}}=>{{1,2,4,6,7},{3,5,8}} {{1,2},{3,5,6},{4,7,8}}=>{{1,2},{3,6},{4,5,7,8}} {{1,5,6},{2,3},{4,7,8}}=>{{1,3},{2,6},{4,5,7,8}} {{1,5,6},{2,7,8},{3,4}}=>{{1,4},{2,6},{3,5,7,8}} {{1,4,5},{2,7,8},{3,6}}=>{{1,5},{2,6},{3,4,7,8}} {{1,7},{2,6},{3,4,5,8}}=>{{1,4,6},{2,5,7},{3,8}} {{1,2},{3,7},{4,5,6,8}}=>{{1,2},{3,5,8},{4,6,7}} {{1,7},{2,5,6,8},{3,4}}=>{{1,4},{2,5,8},{3,6,7}} {{1,3,6,8},{2,4,5},{7}}=>{{1,5},{2,3,4,6,8},{7}} {{1,4},{2,3,5,8},{6,7}}=>{{1,3,4},{2,5,7},{6,8}} {{1,3},{2,4,5,7,8},{6}}=>{{1,4,5,7,8},{2,3},{6}} {{1,7},{2,3,4,6,8},{5}}=>{{1,3,6,7},{2,4,8},{5}} {{1,3,7},{2},{4,5,6,8}}=>{{1,3,5,8},{2},{4,6,7}} {{1,2,6},{3},{4,5,7,8}}=>{{1,2,5,6},{3},{4,7,8}} {{1,5,8},{2,3,7},{4,6}}=>{{1,3,6},{2,8},{4,5,7}} {{1,8},{2,5,7},{3,4,6}}=>{{1,4,6},{2,7},{3,5,8}} {{1,4,8},{2},{3,5,6,7}}=>{{1,6,8},{2},{3,4,5,7}} {{1,5},{2},{3,4,6,7,8}}=>{{1,4,5},{2},{3,6,7,8}} {{1,6},{2,3,7,8},{4,5}}=>{{1,3,7,8},{2,5},{4,6}} {{1,6},{2,8},{3,4,5,7}}=>{{1,4,8},{2,5,6},{3,7}} {{1},{2,4,6,8},{3,5,7}}=>{{1},{2,8},{3,4,5,6,7}} {{1,8},{2,6},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}} {{1,2,4,6},{3,5},{7,8}}=>{{1,2,6},{3,4,5},{7,8}} {{1,2,4,6,8},{3,5},{7}}=>{{1,2,6,8},{3,4,5},{7}} {{1,2,6,8},{3,7},{4},{5}}=>{{1,2,8},{3,6,7},{4},{5}} {{1,2,6,8},{3,4,7},{5}}=>{{1,2,4,6,7},{3,8},{5}} {{1,8},{2,5,6},{3,4,7}}=>{{1,4,7},{2,6},{3,5,8}} {{1,4,8},{2,3,5,6,7}}=>{{1,3,4,5,7},{2,6,8}} {{1,2,4,8},{3,5,6,7}}=>{{1,2,6,8},{3,4,5,7}} {{1,2,4,5,8},{3,6,7}}=>{{1,2,5,6,8},{3,4,7}} {{1,4,5,8},{2},{3,6,7}}=>{{1,5,6,8},{2},{3,4,7}} {{1,8},{2,4,5,6},{3,7}}=>{{1,5,8},{2,4,7},{3,6}} {{1,3,5,8},{2,7},{4},{6}}=>{{1,5,7},{2,3,8},{4},{6}} {{1,4,5,8},{2,6},{3},{7}}=>{{1,5,6},{2,4,8},{3},{7}} {{1,4,8},{2,5,6},{3},{7}}=>{{1,6},{2,4,5,8},{3},{7}} {{1,4,6,7,8},{2},{3,5}}=>{{1,6,7,8},{2},{3,4,5}} {{1,3,4},{2,5,6,7},{8}}=>{{1,4},{2,3,5,6,7},{8}} {{1,3},{2,5},{4},{6,7},{8}}=>{{1,5},{2,3},{4},{6,7},{8}} {{1,4},{2,3,6},{5},{7},{8}}=>{{1,3,4},{2,6},{5},{7},{8}} {{1,4},{2,6},{3},{5},{7},{8}}=>{{1,6},{2,4},{3},{5},{7},{8}} {{1,5},{2,3,6},{4},{7},{8}}=>{{1,3,5},{2,6},{4},{7},{8}} {{1,4},{2,6},{3},{5,7},{8}}=>{{1,7},{2,4},{3},{5,6},{8}} {{1,5},{2,6},{3},{4,7},{8}}=>{{1,7},{2,6},{3},{4,5},{8}} {{1,5},{2,4,6},{3},{7},{8}}=>{{1,4,5},{2,6},{3},{7},{8}} {{1,5},{2},{3,6},{4,7},{8}}=>{{1,7},{2},{3,6},{4,5},{8}} {{1,5},{2,3,4,6,7},{8}}=>{{1,3,6,7},{2,4,5},{8}} {{1,4,6,7},{2,3,5},{8}}=>{{1,3,4,5},{2,6,7},{8}} {{1,2,4,6},{3,5,7},{8}}=>{{1,2,7},{3,4,5,6},{8}} {{1,4},{2},{3,6},{5,7},{8}}=>{{1,7},{2},{3,4},{5,6},{8}} {{1,3,7},{2,4,5,6},{8}}=>{{1,5,7},{2,3,4,6},{8}} {{1,2,3,7},{4},{5,6,8}}=>{{1,2,3,6,7},{4},{5,8}} {{1,5},{2},{3,6},{4},{7},{8}}=>{{1,6},{2},{3,5},{4},{7},{8}} {{1,5},{2,4},{3,6},{7},{8}}=>{{1,6},{2,4},{3,5},{7},{8}} {{1,5},{2,6},{3,4},{7},{8}}=>{{1,4},{2,6},{3,5},{7},{8}} {{1},{2,3,7},{4},{5},{6,8}}=>{{1},{2,3,8},{4},{5},{6,7}} {{1},{2,7},{3,4,5,6,8}}=>{{1},{2,4,6,7},{3,5,8}} {{1,2},{3,7},{4},{5},{6,8}}=>{{1,2},{3,8},{4},{5},{6,7}} {{1,2,3,4,7},{5},{6,8}}=>{{1,2,3,4,8},{5},{6,7}} {{1,4},{2,3,6,8},{5,7}}=>{{1,3,4},{2,8},{5,6,7}} {{1,4},{2,3,6,7,8},{5}}=>{{1,3,4},{2,6,7,8},{5}} {{1,4,5},{2,3,6,7,8}}=>{{1,3,4,6,7,8},{2,5}} {{1},{2,6},{3,4,5,7,8}}=>{{1},{2,4,7,8},{3,5,6}} {{1,4,6,8},{2,3},{5,7}}=>{{1,3},{2,4,8},{5,6,7}} {{1,6},{2},{3,4,5,7,8}}=>{{1,4,7,8},{2},{3,5,6}} {{1,4,5},{2,3,6},{7,8}}=>{{1,3,4,6},{2,5},{7,8}} {{1,4,5},{2,3,8},{6,7}}=>{{1,3,4,7},{2,5},{6,8}} {{1,4,7},{2,3,8},{5,6}}=>{{1,3,4,7},{2,6},{5,8}} {{1,3,4},{2,7},{5,6,8}}=>{{1,4},{2,3,6,7},{5,8}} {{1,3,6,8},{2,7},{4,5}}=>{{1,5},{2,3,6,7},{4,8}} {{1,2,8},{3,6},{4,5,7}}=>{{1,2,5,8},{3,7},{4,6}} {{1,2,6},{3,4,8},{5,7}}=>{{1,2,4,8},{3,7},{5,6}} {{1,5,6},{2,4},{3,7,8}}=>{{1,6},{2,4},{3,5,7,8}} {{1,7,8},{2,4,5},{3,6}}=>{{1,5},{2,4,7,8},{3,6}} {{1,2},{3,6,7},{4,5,8}}=>{{1,2},{3,5,6,8},{4,7}} {{1,6,7},{2,3},{4,5,8}}=>{{1,3},{2,5,6,8},{4,7}} {{1,6,7},{2,5,8},{3,4}}=>{{1,4},{2,5,6,8},{3,7}} {{1,4,8},{2,6,7},{3,5}}=>{{1,7},{2,5},{3,4,6,8}} {{1,4,5},{2},{3,6,8},{7}}=>{{1,5},{2},{3,4,6,8},{7}} {{1,2,4},{3,6,7,8},{5}}=>{{1,2,6,7,8},{3,4},{5}} {{1,2,6,7},{3,4},{5,8}}=>{{1,2,4},{3,7},{5,6,8}} {{1,4,8},{2},{3,6},{5},{7}}=>{{1,8},{2},{3,4,6},{5},{7}} {{1,2,4},{3,5,6,8},{7}}=>{{1,2,5,6,8},{3,4},{7}} {{1,2,4,7,8},{3,5,6}}=>{{1,2,6},{3,4,5,7,8}} {{1,2,4},{3,6},{5,7,8}}=>{{1,2,7,8},{3,4},{5,6}} {{1,2,4,6},{3},{5,7,8}}=>{{1,2,4,7,8},{3},{5,6}} {{1,2,4,5,8},{3,6},{7}}=>{{1,2,5,6},{3,4,8},{7}} {{1,4,5,6},{2,8},{3},{7}}=>{{1,5,8},{2,4,6},{3},{7}} {{1,3},{2,6},{4},{5},{7,8}}=>{{1,6},{2,3},{4},{5},{7,8}} {{1,4,5,6,7},{2,8},{3}}=>{{1,5,7},{2,4,6,8},{3}} {{1,4},{2,3,8},{5},{6},{7}}=>{{1,3,4},{2,8},{5},{6},{7}} {{1,3,4},{2,8},{5},{6},{7}}=>{{1,4},{2,3,8},{5},{6},{7}} {{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,8},{3,5},{4},{6}} {{1,5},{2,8},{3},{4,6},{7}}=>{{1,6},{2,8},{3},{4,5},{7}} {{1,3},{2,4,8},{5},{6},{7}}=>{{1,4,8},{2,3},{5},{6},{7}} {{1,6,8},{2,4,5,7},{3}}=>{{1,4,8},{2,5,6,7},{3}} {{1,2},{3,5},{4,8},{6},{7}}=>{{1,2},{3,8},{4,5},{6},{7}} {{1,2,4},{3,8},{5},{6},{7}}=>{{1,2,8},{3,4},{5},{6},{7}} {{1,3,8},{2,4},{5},{6},{7}}=>{{1,8},{2,3,4},{5},{6},{7}} {{1,3,4,8},{2,5},{6,7}}=>{{1,4,5},{2,3,7},{6,8}} {{1,3,4,8},{2,7},{5,6}}=>{{1,4,8},{2,3,6},{5,7}} {{1,4,5,8},{2,7},{3,6}}=>{{1,5,7},{2,8},{3,4,6}} {{1,5,6,8},{2,7},{3,4}}=>{{1,4},{2,6,7},{3,5,8}} {{1,2,4,6},{3,5,8},{7}}=>{{1,2,8},{3,4,5,6},{7}} {{1,4,6},{2,3,5,8},{7}}=>{{1,3,4,5,6},{2,8},{7}} {{1,3,4,6},{2,5,8},{7}}=>{{1,4,5,6},{2,3,8},{7}} {{1,4,6},{2,3,8},{5,7}}=>{{1,3,4,6},{2,7},{5,8}} {{1,3,4,6},{2,8},{5,7}}=>{{1,4,6},{2,3,7},{5,8}} {{1,3,6},{2,8},{4,5,7}}=>{{1,5,8},{2,3,7},{4,6}} {{1,4,7},{2,3,6},{5,8}}=>{{1,3,4,7},{2,8},{5,6}} {{1,6},{2,3,5,8},{4,7}}=>{{1,3,5,6},{2,8},{4,7}} {{1,2,6},{3,5,8},{4,7}}=>{{1,2,8},{3,5,6},{4,7}} {{1,2,7},{3,5},{4,6,8}}=>{{1,2,6,7},{3,5},{4,8}} {{1,7},{2,3,5},{4,6,8}}=>{{1,3,5},{2,6,7},{4,8}} {{1,3,5},{2,7,8},{4,6}}=>{{1,6},{2,3,5},{4,7,8}} {{1,3,4},{2,6,8},{5,7}}=>{{1,4},{2,3,8},{5,6,7}} {{1,3,4},{2,5,7,8},{6}}=>{{1,4},{2,3,5,7,8},{6}} {{1,3,6},{2,7},{4,5,8}}=>{{1,5,7},{2,3,8},{4,6}} {{1,4,5,6},{2},{3,7,8}}=>{{1,5,7,8},{2},{3,4,6}} {{1,3,5,6},{2,4,7,8}}=>{{1,6},{2,3,4,5,7,8}} {{1,2,3,5,7},{4,8},{6}}=>{{1,2,3,7},{4,5,8},{6}} {{1,2,4,7},{3,5,8},{6}}=>{{1,2,8},{3,4,5,7},{6}} {{1,2,5,7,8},{3},{4,6}}=>{{1,2,7,8},{3},{4,5,6}} {{1,2,5,7},{3,4,6,8}}=>{{1,2,4,5,6,7},{3,8}} {{1,3,6,7,8},{2,4},{5}}=>{{1,6,7,8},{2,3,4},{5}} {{1,3,6,8},{2,5,7},{4}}=>{{1,8},{2,3,5,6,7},{4}} {{1,2,4,6,7},{3,5},{8}}=>{{1,2,6,7},{3,4,5},{8}} {{1},{2,4,6,7,8},{3,5}}=>{{1},{2,6,7,8},{3,4,5}} {{1},{2,4,7},{3,5,6,8}}=>{{1},{2,6,7},{3,4,5,8}} {{1,3,5,6,8},{2,4,7}}=>{{1,6,7},{2,3,4,5,8}} {{1,6},{2,4,7,8},{3,5}}=>{{1,7,8},{2,4,6},{3,5}} {{1,2,4,7},{3,5,6,8}}=>{{1,2,6,7},{3,4,5,8}} {{1,2,5,8},{3,6},{4,7}}=>{{1,2,8},{3,7},{4,5,6}} {{1,4,7},{2,5,8},{3,6}}=>{{1,8},{2,7},{3,4,5,6}} {{1},{2,4,5,7,8},{3,6}}=>{{1},{2,5,6},{3,4,7,8}} {{1,5,7},{2,3,4,6,8}}=>{{1,3,8},{2,4,5,6,7}} {{1},{2,3,4,6,8},{5,7}}=>{{1},{2,3,4,8},{5,6,7}} {{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}} {{1,3,5},{2,4,6,7,8}}=>{{1,6,7,8},{2,3,4,5}} {{1,3,6},{2,4,5,7,8}}=>{{1,5,6},{2,3,4,7,8}} {{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,6,7},{4,5,8}} {{1,3,6},{2,5,8},{4,7}}=>{{1,8},{2,3,7},{4,5,6}} {{1},{2,4,7},{3},{5},{6,8}}=>{{1},{2,4,8},{3},{5},{6,7}} {{1,2,6,8},{3},{4,5,7}}=>{{1,2,5,6,7},{3},{4,8}} {{1,2,6,8},{3,5,7},{4}}=>{{1,2,5,6,7},{3,8},{4}} {{1,2,4},{3,5,8},{6,7}}=>{{1,2,5,7},{3,4},{6,8}} {{1,2,6,8},{3,5},{4,7}}=>{{1,2,8},{3,5},{4,6,7}} {{1,2,3,5,6},{4,8},{7}}=>{{1,2,3,6},{4,5,8},{7}} {{1,4,6,8},{2,3,5},{7}}=>{{1,3,4,5},{2,6,8},{7}} {{1,3,5},{2,4,6,8},{7}}=>{{1,6,8},{2,3,4,5},{7}} {{1,2,4,5},{3,6,8},{7}}=>{{1,2,5},{3,4,6,8},{7}} {{1,3,5,6,8},{2,4},{7}}=>{{1,5,6,8},{2,3,4},{7}} {{1,3,5,6,7},{2,4},{8}}=>{{1,5,6,7},{2,3,4},{8}} {{1,3,6},{2,4,5,7},{8}}=>{{1,5,6},{2,3,4,7},{8}} {{1,4,7},{2,5},{3,6,8}}=>{{1,8},{2,6,7},{3,4,5}} {{1,3,4,6,7},{2,5},{8}}=>{{1,4,5},{2,3,6,7},{8}} {{1,3,6},{2,5,7},{4,8}}=>{{1,7},{2,3,8},{4,5,6}} {{1,2,3,5,7},{4,6},{8}}=>{{1,2,3,7},{4,5,6},{8}} {{1,3,4,6},{2,5,7},{8}}=>{{1,4,5,6},{2,3,7},{8}} {{1,3,5,6,7},{2,4,8}}=>{{1,6,8},{2,3,4,5,7}} {{1,2,4,5,7},{3,6},{8}}=>{{1,2,5,6},{3,4,7},{8}} {{1,2,5,7},{3,8},{4,6}}=>{{1,2,7},{3,6},{4,5,8}} {{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,7,8},{4,5,6}} {{1,3,4,5},{2,8},{6,7}}=>{{1,4,7},{2,3,5},{6,8}} {{1,2,4,5},{3,8},{6,7}}=>{{1,2,5},{3,4,7},{6,8}} {{1,3,5,6},{2,8},{4,7}}=>{{1,6},{2,3,5,8},{4,7}} {{1,3,4,8},{2,6},{5,7}}=>{{1,4,8},{2,3,7},{5,6}} {{1,3,5,8},{2,6},{4,7}}=>{{1,8},{2,3,5,6},{4,7}} {{1,2,4,8},{3,6},{5,7}}=>{{1,2,7},{3,4,8},{5,6}} {{1,2,3,8},{4,6},{5,7}}=>{{1,2,3,7},{4,6},{5,8}} {{1,3},{2,8},{4,5,6,7}}=>{{1,5,7},{2,3},{4,6,8}} {{1,3,5,8},{2,4,6,7}}=>{{1,7},{2,3,4,5,6,8}} {{1,4},{2,5,6,7},{3,8}}=>{{1,6,8},{2,5,7},{3,4}} {{1,4},{2,8},{3,5,6,7}}=>{{1,5,7},{2,6,8},{3,4}} {{1,5},{2,8},{3,4,6,7}}=>{{1,4,5},{2,6,8},{3,7}} {{1,5,6,8},{2,3,7},{4}}=>{{1,3,5,8},{2,6,7},{4}} {{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}} {{1,5,8},{2,7},{3},{4},{6}}=>{{1,8},{2,5,7},{3},{4},{6}} {{1,3,4,5},{2,6,7,8}}=>{{1,4,6,7,8},{2,3,5}} {{1,4,5},{2,7,8},{3},{6}}=>{{1,5},{2,4,7,8},{3},{6}} {{1,3,6,7,8},{2,5},{4}}=>{{1,6,7,8},{2,3,5},{4}} {{1,3,4,8},{2,6,7},{5}}=>{{1,4,6,8},{2,3,7},{5}} {{1,4,8},{2,7},{3},{5},{6}}=>{{1,8},{2,4,7},{3},{5},{6}} {{1,6},{2},{3,7},{4},{5,8}}=>{{1,8},{2},{3,7},{4},{5,6}} {{1,6},{2,8},{3},{4},{5},{7}}=>{{1,8},{2,6},{3},{4},{5},{7}} {{1,7},{2},{3,8},{4},{5},{6}}=>{{1,8},{2},{3,7},{4},{5},{6}} {{1,6,8},{2,7},{3},{4},{5}}=>{{1,8},{2,6,7},{3},{4},{5}} {{1,4,6,8},{2,5,7},{3}}=>{{1,8},{2,4,5,6,7},{3}} {{1,3,6},{2,4,7},{5,8}}=>{{1,8},{2,3,4,7},{5,6}} {{1,2,3,4,6},{5,7},{8}}=>{{1,2,3,4,7},{5,6},{8}} {{1,4},{2,6},{3,8},{5},{7}}=>{{1,8},{2,6},{3,4},{5},{7}} {{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}} {{1,9},{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},{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},{2,3,4,5,6,7,8,9}} {{1,2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9}} {{1,3},{2},{4},{5},{6},{7},{8},{9}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9}} {{1,4},{2},{3},{5},{6},{7},{8},{9}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9}} {{1,5},{2},{3},{4},{6},{7},{8},{9}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9}} {{1,6},{2},{3},{4},{5},{7},{8},{9}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9}} {{1,7},{2},{3},{4},{5},{6},{8},{9}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9}} {{1,8},{2},{3},{4},{5},{6},{7},{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}} {{1,8,9},{2},{3},{4},{5},{6},{7}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}} {{1,7},{2},{3},{4},{5},{6},{8,9}}=>{{1,7},{2},{3},{4},{5},{6},{8,9}} {{1,6},{2},{3},{4},{5},{7,8},{9}}=>{{1,6},{2},{3},{4},{5},{7,8},{9}} {{1,5},{2},{3},{4},{6,7},{8},{9}}=>{{1,5},{2},{3},{4},{6,7},{8},{9}} {{1,4},{2},{3},{5,6},{7},{8},{9}}=>{{1,4},{2},{3},{5,6},{7},{8},{9}} {{1,3},{2},{4,5},{6},{7},{8},{9}}=>{{1,3},{2},{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},{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},{3,4,5,6,7,8,9}} {{1,2,3,4,5,6,7,9},{8}}=>{{1,2,3,4,5,6,7,9},{8}} {{1,2},{3,4,5,6,7,9},{8}}=>{{1,2},{3,4,5,6,7,9},{8}} {{1,2,3,4,5,6,9},{7,8}}=>{{1,2,3,4,5,6,8},{7,9}} {{1,2,3,4,5,6,8,9},{7}}=>{{1,2,3,4,5,6,8,9},{7}} {{1,2},{3,4,5,6,9},{7,8}}=>{{1,2},{3,4,5,6,8},{7,9}} {{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}}=>{{1,2,3,4,5,6,7},{8,9}} {{1,3,4,5,6,7,8,9},{2}}=>{{1,3,4,5,6,7,8,9},{2}} {{1},{2},{3},{4},{5},{6,7},{8,9}}=>{{1},{2},{3},{4},{5},{6,7},{8,9}} {{1,2,9},{3},{4},{5},{6},{7},{8}}=>{{1,2,9},{3},{4},{5},{6},{7},{8}} {{1,2,3,4,5,6,9},{7},{8}}=>{{1,2,3,4,5,6,9},{7},{8}} {{1},{2},{3,4,5,6,7,8,9}}=>{{1},{2},{3,4,5,6,7,8,9}} {{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}} {{1,7,8,9},{2},{3},{4},{5},{6}}=>{{1,7,8,9},{2},{3},{4},{5},{6}} {{1,6,7,8,9},{2},{3},{4},{5}}=>{{1,6,7,8,9},{2},{3},{4},{5}} {{1,5,6,7,8,9},{2},{3},{4}}=>{{1,5,6,7,8,9},{2},{3},{4}} {{1,4,5,6,7,8,9},{2},{3}}=>{{1,4,5,6,7,8,9},{2},{3}} {{1,2,3,4,5,8,9},{6,7}}=>{{1,2,3,4,5,7},{6,8,9}} {{1},{2,3},{4,5,6,7,8,9}}=>{{1},{2,3},{4,5,6,7,8,9}} {{1,2,3,4,5,6,8},{7,9}}=>{{1,2,3,4,5,6,9},{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},{4,5,6,7,8,9}} {{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},{6,7,8,9}} {{1,2,3,4,5,6},{7,8,9}}=>{{1,2,3,4,5,6},{7,8,9}} {{1,2,3,4,9},{5,6,7,8}}=>{{1,2,3,4,6,8},{5,7,9}} {{1},{2},{3},{4},{5},{6,7,8,9}}=>{{1},{2},{3},{4},{5},{6,7,8,9}} {{1},{2},{3},{4},{5,6,7,8,9}}=>{{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},{7,8,9}}=>{{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},{5,6,7,8,9}}=>{{1},{2},{3,4},{5,6,7,8,9}} {{1,6,7,8,9},{2,3,4,5}}=>{{1,3,5},{2,4,6,7,8,9}} {{1,2,3,7,8,9},{4,5,6}}=>{{1,2,3,5,7,8,9},{4,6}} {{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},{6,7,8},{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},{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},{5,6,7,8},{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},{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},{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},{7,8,9}}=>{{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},{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},{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},{7,8},{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}} {{1,2,5,6,7,8,9},{3,4}}=>{{1,2,4},{3,5,6,7,8,9}} {{1,3,6,7,8,9},{2,5},{4}}=>{{1,6,7,8,9},{2,3,5},{4}} {{1,3,4,8,9},{2,6,7},{5}}=>{{1,4,6,8,9},{2,3,7},{5}} {{1,2,7,8,9},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7,8,9}} {{1,4,7,8,9},{2,6},{3},{5}}=>{{1,7,8,9},{2,4,6},{3},{5}} {{1,3,4,5},{2,7,8,9},{6}}=>{{1,4,7,8,9},{2,3,5},{6}} {{1,2,5,9},{3,4,8},{6,7}}=>{{1,2,4,5,9},{3,7},{6,8}} {{1,4,5,9},{2,7,8},{3},{6}}=>{{1,5,7,9},{2,4,8},{3},{6}} {{1,3,8,9},{2,5},{4,7},{6}}=>{{1,7},{2,3,8,9},{4,5},{6}} {{1,5,8,9},{2,7},{3},{4},{6}}=>{{1,8,9},{2,5,7},{3},{4},{6}} {{1,3,6},{2,5,9},{4,8},{7}}=>{{1,9},{2,3,8},{4,5,6},{7}} {{1,5,6},{2,8,9},{3},{4},{7}}=>{{1,6},{2,5,8,9},{3},{4},{7}} {{1,2,9},{3,4},{5,6},{7,8}}=>{{1,2,4},{3,6},{5,8},{7,9}} {{1,4,9},{2,6},{3,8},{5},{7}}=>{{1,9},{2,8},{3,4,6},{5},{7}} {{1,6,9},{2,8},{3},{4},{5},{7}}=>{{1,9},{2,6,8},{3},{4},{5},{7}} {{1,3},{2,5},{4,7},{6,9},{8}}=>{{1,9},{2,3},{4,5},{6,7},{8}} {{1,5},{2,7},{3,9},{4},{6},{8}}=>{{1,9},{2,7},{3,5},{4},{6},{8}} {{1,7},{2,9},{3},{4},{5},{6},{8}}=>{{1,9},{2,7},{3},{4},{5},{6},{8}} {{1,3},{2,4},{5},{6},{7},{8},{9}}=>{{1,4},{2,3},{5},{6},{7},{8},{9}} {{1,4},{2,5},{3,6},{7},{8},{9}}=>{{1,6},{2,5},{3,4},{7},{8},{9}} {{1,2,4},{3,5},{6},{7},{8},{9}}=>{{1,2,5},{3,4},{6},{7},{8},{9}} {{1,5},{2,6},{3,7},{4,8},{9}}=>{{1,8},{2,7},{3,6},{4,5},{9}} {{1,2,5},{3,6},{4,7},{8},{9}}=>{{1,2,7},{3,6},{4,5},{8},{9}} {{1,3,5},{2,4,6},{7},{8},{9}}=>{{1,6},{2,3,4,5},{7},{8},{9}} {{1,2,3,5},{4,6},{7},{8},{9}}=>{{1,2,3,6},{4,5},{7},{8},{9}} {{1,2,6},{3,7},{4,8},{5,9}}=>{{1,2,9},{3,8},{4,7},{5,6}} {{1,3,6},{2,4,7},{5,8},{9}}=>{{1,8},{2,3,4,7},{5,6},{9}} {{1,2,3,6},{4,7},{5,8},{9}}=>{{1,2,3,8},{4,7},{5,6},{9}} {{1,2,4,6},{3,5,7},{8},{9}}=>{{1,2,7},{3,4,5,6},{8},{9}} {{1,2,3,4,6},{5,7},{8},{9}}=>{{1,2,3,4,7},{5,6},{8},{9}} {{1,4,7},{2,5,8},{3,6,9}}=>{{1,9},{2,8},{3,4,5,6,7}} {{1,2,4,7},{3,5,8},{6,9}}=>{{1,2,9},{3,4,5,8},{6,7}} {{1,2,3,4,7},{5,8},{6,9}}=>{{1,2,3,4,9},{5,8},{6,7}} {{1,3,5,7},{2,4,6,8},{9}}=>{{1,8},{2,3,4,5,6,7},{9}} {{1,2,3,5,7},{4,6,8},{9}}=>{{1,2,3,8},{4,5,6,7},{9}} {{1,2,3,4,5,7},{6,8},{9}}=>{{1,2,3,4,5,8},{6,7},{9}} {{1,2,4,6,8},{3,5,7,9}}=>{{1,2,9},{3,4,5,6,7,8}} {{1,2,3,4,6,8},{5,7,9}}=>{{1,2,3,4,9},{5,6,7,8}} {{1,2,3,4,7,9},{5,8},{6}}=>{{1,2,3,4,9},{5,7,8},{6}} {{1,2,3,4,5,9},{6},{7},{8}}=>{{1,2,3,4,5,9},{6},{7},{8}} {{1,2,6,7,9},{3,4,8},{5}}=>{{1,2,4,6,9},{3,7,8},{5}} {{1,2,3,8,9},{4,5},{6,7}}=>{{1,2,3,5},{4,7},{6,8,9}} {{1,2,3,6,9},{4,8},{5},{7}}=>{{1,2,3,9},{4,6,8},{5},{7}} {{1,2,3,8},{4},{5,6,7,9}}=>{{1,2,3,6,9},{4},{5,7,8}} {{1,5,8,9},{2,6,7},{3,4}}=>{{1,4},{2,7},{3,5,6,8,9}} {{1,5,6,9},{2,3,8},{4},{7}}=>{{1,3,5,9},{2,6,8},{4},{7}} {{1,2,7,9},{3,6},{4},{5,8}}=>{{1,2,9},{3,6},{4},{5,7,8}} {{1,2,5,9},{3,8},{4},{6},{7}}=>{{1,2,9},{3,5,8},{4},{6},{7}} {{1,5,8},{2,6},{3},{4,7,9}}=>{{1,9},{2,7,8},{3},{4,5,6}} {{1,2,8},{3},{4,5,9},{6},{7}}=>{{1,2,5,8},{3},{4,9},{6},{7}} {{1,8,9},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8,9}} {{1,6,9},{2,7},{3},{4,8},{5}}=>{{1,9},{2,8},{3},{4,6,7},{5}} {{1,4,9},{2,8},{3},{5},{6},{7}}=>{{1,9},{2,4,8},{3},{5},{6},{7}} {{1,4},{2},{3,6},{5,8},{7,9}}=>{{1,9},{2},{3,4},{5,6},{7,8}} {{1,7},{2},{3,8},{4},{5,9},{6}}=>{{1,9},{2},{3,8},{4},{5,7},{6}} {{1,8},{2},{3,9},{4},{5},{6},{7}}=>{{1,9},{2},{3,8},{4},{5},{6},{7}} {{1,8},{2,9},{3},{4},{5},{6},{7}}=>{{1,9},{2,8},{3},{4},{5},{6},{7}} {{1,7},{2,8},{3,9},{4},{5},{6}}=>{{1,9},{2,8},{3,7},{4},{5},{6}} {{1,7,9},{2,8},{3},{4},{5},{6}}=>{{1,9},{2,7,8},{3},{4},{5},{6}} {{1,6},{2,7},{3,8},{4,9},{5}}=>{{1,9},{2,8},{3,7},{4,6},{5}} {{1,6,9},{2,7},{3,8},{4},{5}}=>{{1,9},{2,8},{3,6,7},{4},{5}} {{1,6,8},{2,7,9},{3},{4},{5}}=>{{1,9},{2,6,7,8},{3},{4},{5}} {{1,6,8,9},{2,7},{3},{4},{5}}=>{{1,8,9},{2,6,7},{3},{4},{5}} {{1,5,9},{2,6},{3,7},{4,8}}=>{{1,9},{2,8},{3,7},{4,5,6}} {{1,5,8},{2,6,9},{3,7},{4}}=>{{1,9},{2,8},{3,5,6,7},{4}} {{1,5,8,9},{2,6},{3,7},{4}}=>{{1,8,9},{2,7},{3,5,6},{4}} {{1,5,7,9},{2,6,8},{3},{4}}=>{{1,9},{2,5,6,7,8},{3},{4}} {{1,5,7,8,9},{2,6},{3},{4}}=>{{1,7,8,9},{2,5,6},{3},{4}} {{1,4,7,9},{2,5,8},{3,6}}=>{{1,9},{2,7,8},{3,4,5,6}} {{1,4,7,8,9},{2,5},{3,6}}=>{{1,7,8,9},{2,6},{3,4,5}} {{1,4,6,8},{2,5,7,9},{3}}=>{{1,9},{2,4,5,6,7,8},{3}} {{1,4,6,8,9},{2,5,7},{3}}=>{{1,8,9},{2,4,5,6,7},{3}} {{1,4,6,7,8,9},{2,5},{3}}=>{{1,6,7,8,9},{2,4,5},{3}} {{1,3,5,7,9},{2,4,6,8}}=>{{1,9},{2,3,4,5,6,7,8}} {{1,3,5,7,8,9},{2,4,6}}=>{{1,7,8,9},{2,3,4,5,6}} {{1,3,5,6,7,8,9},{2,4}}=>{{1,5,6,7,8,9},{2,3,4}} {{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},{6,7,8,9}}=>{{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},{6,7,8,9}}=>{{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},{7,8,9}}=>{{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},{7,8,9}}=>{{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},{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},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,8},{9,10}} {{1,4},{2,3},{5,6},{7,8},{9,10}}=>{{1,3},{2,4},{5,6},{7,8},{9,10}} {{1,6},{2,3},{4,5},{7,8},{9,10}}=>{{1,3},{2,5},{4,6},{7,8},{9,10}} {{1,8},{2,3},{4,5},{6,7},{9,10}}=>{{1,3},{2,5},{4,7},{6,8},{9,10}} {{1,10},{2,3},{4,5},{6,7},{8,9}}=>{{1,3},{2,5},{4,7},{6,9},{8,10}} {{1,2},{3,6},{4,5},{7,8},{9,10}}=>{{1,2},{3,5},{4,6},{7,8},{9,10}} {{1,6},{2,5},{3,4},{7,8},{9,10}}=>{{1,4},{2,5},{3,6},{7,8},{9,10}} {{1,8},{2,5},{3,4},{6,7},{9,10}}=>{{1,4},{2,5},{3,7},{6,8},{9,10}} {{1,10},{2,5},{3,4},{6,7},{8,9}}=>{{1,4},{2,5},{3,7},{6,9},{8,10}} {{1,2},{3,8},{4,5},{6,7},{9,10}}=>{{1,2},{3,5},{4,7},{6,8},{9,10}} {{1,8},{2,7},{3,4},{5,6},{9,10}}=>{{1,4},{2,6},{3,7},{5,8},{9,10}} {{1,10},{2,7},{3,4},{5,6},{8,9}}=>{{1,4},{2,6},{3,7},{5,9},{8,10}} {{1,2},{3,10},{4,5},{6,7},{8,9}}=>{{1,2},{3,5},{4,7},{6,9},{8,10}} {{1,10},{2,9},{3,4},{5,6},{7,8}}=>{{1,4},{2,6},{3,8},{5,9},{7,10}} {{1,2},{3,4},{5,8},{6,7},{9,10}}=>{{1,2},{3,4},{5,7},{6,8},{9,10}} {{1,4},{2,3},{5,8},{6,7},{9,10}}=>{{1,3},{2,4},{5,7},{6,8},{9,10}} {{1,8},{2,3},{4,7},{5,6},{9,10}}=>{{1,3},{2,6},{4,7},{5,8},{9,10}} {{1,10},{2,3},{4,7},{5,6},{8,9}}=>{{1,3},{2,6},{4,7},{5,9},{8,10}} {{1,2},{3,8},{4,7},{5,6},{9,10}}=>{{1,2},{3,6},{4,7},{5,8},{9,10}} {{1,8},{2,7},{3,6},{4,5},{9,10}}=>{{1,5},{2,6},{3,7},{4,8},{9,10}} {{1,10},{2,7},{3,6},{4,5},{8,9}}=>{{1,5},{2,6},{3,7},{4,9},{8,10}} {{1,2},{3,10},{4,7},{5,6},{8,9}}=>{{1,2},{3,6},{4,7},{5,9},{8,10}} {{1,10},{2,9},{3,6},{4,5},{7,8}}=>{{1,5},{2,6},{3,8},{4,9},{7,10}} {{1,2},{3,4},{5,10},{6,7},{8,9}}=>{{1,2},{3,4},{5,7},{6,9},{8,10}} {{1,4},{2,3},{5,10},{6,7},{8,9}}=>{{1,3},{2,4},{5,7},{6,9},{8,10}} {{1,10},{2,3},{4,9},{5,6},{7,8}}=>{{1,3},{2,6},{4,8},{5,9},{7,10}} {{1,2},{3,10},{4,9},{5,6},{7,8}}=>{{1,2},{3,6},{4,8},{5,9},{7,10}} {{1,10},{2,9},{3,8},{4,5},{6,7}}=>{{1,5},{2,7},{3,8},{4,9},{6,10}} {{1,6},{2,7},{3,8},{4,9},{5,10}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}} {{1,2},{3,4},{5,6},{7,10},{8,9}}=>{{1,2},{3,4},{5,6},{7,9},{8,10}} {{1,4},{2,3},{5,6},{7,10},{8,9}}=>{{1,3},{2,4},{5,6},{7,9},{8,10}} {{1,6},{2,3},{4,5},{7,10},{8,9}}=>{{1,3},{2,5},{4,6},{7,9},{8,10}} {{1,10},{2,3},{4,5},{6,9},{7,8}}=>{{1,3},{2,5},{4,8},{6,9},{7,10}} {{1,2},{3,6},{4,5},{7,10},{8,9}}=>{{1,2},{3,5},{4,6},{7,9},{8,10}} {{1,6},{2,5},{3,4},{7,10},{8,9}}=>{{1,4},{2,5},{3,6},{7,9},{8,10}} {{1,10},{2,5},{3,4},{6,9},{7,8}}=>{{1,4},{2,5},{3,8},{6,9},{7,10}} {{1,2},{3,10},{4,5},{6,9},{7,8}}=>{{1,2},{3,5},{4,8},{6,9},{7,10}} {{1,10},{2,9},{3,4},{5,8},{6,7}}=>{{1,4},{2,7},{3,8},{5,9},{6,10}} {{1,2},{3,4},{5,10},{6,9},{7,8}}=>{{1,2},{3,4},{5,8},{6,9},{7,10}} {{1,4},{2,3},{5,10},{6,9},{7,8}}=>{{1,3},{2,4},{5,8},{6,9},{7,10}} {{1,10},{2,3},{4,9},{5,8},{6,7}}=>{{1,3},{2,7},{4,8},{5,9},{6,10}} {{1,2},{3,10},{4,9},{5,8},{6,7}}=>{{1,2},{3,7},{4,8},{5,9},{6,10}} {{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,6},{2,7},{3,8},{4,9},{5,10}} {{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},{9,10}} {{1,10},{2},{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},{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}} {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}} {{1,4},{2},{3},{5},{6},{7},{8},{9},{10}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9},{10}} {{1,5},{2},{3},{4},{6},{7},{8},{9},{10}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9},{10}} {{1,6},{2},{3},{4},{5},{7},{8},{9},{10}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9},{10}} {{1,7},{2},{3},{4},{5},{6},{8},{9},{10}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9},{10}} {{1,8},{2},{3},{4},{5},{6},{7},{9},{10}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9},{10}} {{1,9},{2},{3},{4},{5},{6},{7},{8},{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},{3,4,5,6,7,8,9,10}}=>{{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},{3,4,5,6,7,8,10},{9}}=>{{1,2},{3,4,5,6,7,8,10},{9}} {{1,2,3,4,5,6,7,8},{9,10}}=>{{1,2,3,4,5,6,7,8},{9,10}} {{1,3,4,5,6,7,8,9,10},{2}}=>{{1,3,4,5,6,7,8,9,10},{2}} {{1,2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}} {{1,2,3,4,5,6,7,10},{8},{9}}=>{{1,2,3,4,5,6,7,10},{8},{9}} {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}} {{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}} {{1,2,3,4,10},{5},{6},{7},{8},{9}}=>{{1,2,3,4,10},{5},{6},{7},{8},{9}} {{1,2,3,4,5,10},{6},{7},{8},{9}}=>{{1,2,3,4,5,10},{6},{7},{8},{9}} {{1,8,9,10},{2},{3},{4},{5},{6},{7}}=>{{1,8,9,10},{2},{3},{4},{5},{6},{7}} {{1,7,8,9,10},{2},{3},{4},{5},{6}}=>{{1,7,8,9,10},{2},{3},{4},{5},{6}} {{1,6,7,8,9,10},{2},{3},{4},{5}}=>{{1,6,7,8,9,10},{2},{3},{4},{5}} {{1,5,6,7,8,9,10},{2},{3},{4}}=>{{1,5,6,7,8,9,10},{2},{3},{4}} {{1,4,5,6,7,8,9,10},{2},{3}}=>{{1,4,5,6,7,8,9,10},{2},{3}} {{1,2,3,4,5,6,9,10},{7,8}}=>{{1,2,3,4,5,6,8},{7,9,10}} {{1,2,3,10},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,10},{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}} {{1,2,3,4},{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},{7,8,9,10}}=>{{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},{7,8,9,10}}=>{{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},{5,6,7,8,9,10}}=>{{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}} {{1,2,7,8,9,10},{3,4,5,6}}=>{{1,2,4,6},{3,5,7,8,9,10}} {{1,2,3,4,8,9,10},{5,6,7}}=>{{1,2,3,4,6,8,9,10},{5,7}} {{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},{5,6,7,8,9,10}}=>{{1,2},{3,4},{5,6,7,8,9,10}} {{1,2},{3,4},{5,7,8,10},{6,9}}=>{{1,2},{3,4},{5,8,9},{6,7,10}} {{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},{7,8,9,10}} {{1,2},{3,4,5,6,7,8},{9,10}}=>{{1,2},{3,4,5,6,7,8},{9,10}} {{1,2},{3,4,5,7,8,10},{6,9}}=>{{1,2},{3,4,5,8,9},{6,7,10}} {{1,2},{3,5,6,8},{4,7},{9,10}}=>{{1,2},{3,6,7},{4,5,8},{9,10}} {{1,2},{3,5,6,8,9,10},{4,7}}=>{{1,2},{3,6,7},{4,5,8,9,10}} {{1,2},{3,6,7,10},{4,5,8,9}}=>{{1,2},{3,5,6,9},{4,7,8,10}} {{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},{7,8,9,10}}=>{{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},{5,7,8,10},{6,9}}=>{{1,2,3,4},{5,8,9},{6,7,10}} {{1,2,3,4,5,6},{7,8},{9,10}}=>{{1,2,3,4,5,6},{7,8},{9,10}} {{1,2,3,4,5,7,8,10},{6,9}}=>{{1,2,3,4,5,8,9},{6,7,10}} {{1,2,3,5,6,8},{4,7},{9,10}}=>{{1,2,3,6,7},{4,5,8},{9,10}} {{1,2,3,5,6,8,9,10},{4,7}}=>{{1,2,3,6,7},{4,5,8,9,10}} {{1,2,3,6,7,10},{4,5,8,9}}=>{{1,2,3,5,6,9},{4,7,8,10}} {{1,3,4,6},{2,5},{7,8},{9,10}}=>{{1,4,5},{2,3,6},{7,8},{9,10}} {{1,3,4,6},{2,5},{7,8,9,10}}=>{{1,4,5},{2,3,6},{7,8,9,10}} {{1,3,4,6,7,8},{2,5},{9,10}}=>{{1,4,5},{2,3,6,7,8},{9,10}} {{1,3,4,6,7,8,9,10},{2,5}}=>{{1,4,5},{2,3,6,7,8,9,10}} {{1,3,4,7,8,10},{2,5},{6,9}}=>{{1,4,5},{2,3,8,9},{6,7,10}} {{1,3,4,7,8,10},{2,5,6,9}}=>{{1,4,5,8,9},{2,3,6,7,10}} {{1,4,5,8},{2,3,6,7},{9,10}}=>{{1,3,4,7},{2,5,6,8},{9,10}} {{1,4,5,8,9,10},{2,3,6,7}}=>{{1,3,4,7},{2,5,6,8,9,10}} {{1,2,4,5,6,7,9,10},{3,8}}=>{{1,2,5,7,8},{3,4,6,9,10}} {{1,5,6,10},{2,4,7,9},{3,8}}=>{{1,6,10},{2,4,5,7,8},{3,9}} {{1,2,5,6,7,8,9,10},{3,4}}=>{{1,2,4},{3,5,6,7,8,9,10}} {{1,3,4,6,8},{2,5,7,9,10}}=>{{1,4,5,6,7,8},{2,3,9,10}} {{1,2,3,7,8,9,10},{4,5,6}}=>{{1,2,3,5,7,8,9,10},{4,6}} {{1,8,10},{2,5},{3},{4,7},{6,9}}=>{{1,10},{2,5},{3},{4,7},{6,8,9}} {{1,2,7,10},{3,8},{4},{5,9},{6}}=>{{1,2,10},{3,9},{4},{5,7,8},{6}} {{1,2,3,6,10},{4,9},{5},{7},{8}}=>{{1,2,3,10},{4,6,9},{5},{7},{8}} {{1,3,5,7,9,10},{2,4,6,8}}=>{{1,9,10},{2,3,4,5,6,7,8}} {{1,3,4,5,7},{2,6,8,9,10}}=>{{1,4,8,9,10},{2,3,5,6,7}} {{1,2,3,5,7,9},{4,6,8,10}}=>{{1,2,3,10},{4,5,6,7,8,9}} {{1,2,3,6,7},{4,5,8,9,10}}=>{{1,2,3,5,6,8,9,10},{4,7}} {{1,2,5,7,8},{3,4,6,9,10}}=>{{1,2,4,5,6,7,9,10},{3,8}} {{1,3,5,7,9},{2,4,6,8,10}}=>{{1,10},{2,3,4,5,6,7,8,9}} {{1,3,5,7,8},{2,4,6,9,10}}=>{{1,8},{2,3,4,5,6,7,9,10}} {{1,3,5,6,9},{2,4,7,8,10}}=>{{1,6,7,10},{2,3,4,5,8,9}} {{1,3,5,6,8},{2,4,7,9,10}}=>{{1,6,7,8},{2,3,4,5,9,10}} {{1,3,5,6,7},{2,4,8,9,10}}=>{{1,6,8,9,10},{2,3,4,5,7}} {{1,3,4,7,9},{2,5,6,8,10}}=>{{1,4,5,10},{2,3,6,7,8,9}} {{1,3,4,7,8},{2,5,6,9,10}}=>{{1,4,5,8},{2,3,6,7,9,10}} {{1,3,4,6,9},{2,5,7,8,10}}=>{{1,4,5,6,7,10},{2,3,8,9}} {{1,3,4,6,7},{2,5,8,9,10}}=>{{1,4,5,6,8,9,10},{2,3,7}} {{1,3,4,5,9},{2,6,7,8,10}}=>{{1,4,7,10},{2,3,5,6,8,9}} {{1,3,4,5,8},{2,6,7,9,10}}=>{{1,4,7,8},{2,3,5,6,9,10}} {{1,3,4,5,6},{2,7,8,9,10}}=>{{1,4,6},{2,3,5,7,8,9,10}} {{1,2,5,7,9},{3,4,6,8,10}}=>{{1,2,4,5,6,7,8,9},{3,10}} {{1,2,5,6,9},{3,4,7,8,10}}=>{{1,2,4,5,8,9},{3,6,7,10}} {{1,2,5,6,8},{3,4,7,9,10}}=>{{1,2,4,5,9,10},{3,6,7,8}} {{1,2,5,6,7},{3,4,8,9,10}}=>{{1,2,4,5,7},{3,6,8,9,10}} {{1,2,4,7,9},{3,5,6,8,10}}=>{{1,2,6,7,8,9},{3,4,5,10}} {{1,2,4,7,8},{3,5,6,9,10}}=>{{1,2,6,7,9,10},{3,4,5,8}} {{1,2,4,6,9},{3,5,7,8,10}}=>{{1,2,8,9},{3,4,5,6,7,10}} {{1,2,4,6,8},{3,5,7,9,10}}=>{{1,2,9,10},{3,4,5,6,7,8}} {{1,2,4,6,7},{3,5,8,9,10}}=>{{1,2,7},{3,4,5,6,8,9,10}} {{1,2,4,5,9},{3,6,7,8,10}}=>{{1,2,5,6,8,9},{3,4,7,10}} {{1,2,4,5,8},{3,6,7,9,10}}=>{{1,2,5,6,9,10},{3,4,7,8}} {{1,2,4,5,7},{3,6,8,9,10}}=>{{1,2,5,6,7},{3,4,8,9,10}} {{1,2,4,5,6},{3,7,8,9,10}}=>{{1,2,5,7,8,9,10},{3,4,6}} {{1,2,3,7,9},{4,5,6,8,10}}=>{{1,2,3,5,10},{4,6,7,8,9}} {{1,2,3,7,8},{4,5,6,9,10}}=>{{1,2,3,5,8},{4,6,7,9,10}} {{1,2,3,6,9},{4,5,7,8,10}}=>{{1,2,3,5,6,7,10},{4,8,9}} {{1,2,3,6,8},{4,5,7,9,10}}=>{{1,2,3,5,6,7,8},{4,9,10}} {{1,2,3,5,9},{4,6,7,8,10}}=>{{1,2,3,7,10},{4,5,6,8,9}} {{1,2,3,5,8},{4,6,7,9,10}}=>{{1,2,3,7,8},{4,5,6,9,10}} {{1,2,3,5,7},{4,6,8,9,10}}=>{{1,2,3,8,9,10},{4,5,6,7}} {{1,2,3,5,6},{4,7,8,9,10}}=>{{1,2,3,6},{4,5,7,8,9,10}} {{1,2,3,4,9},{5,6,7,8,10}}=>{{1,2,3,4,6,8,9},{5,7,10}} {{1,2,3,4,8},{5,6,7,9,10}}=>{{1,2,3,4,6,9,10},{5,7,8}} {{1,2,3,4,7},{5,6,8,9,10}}=>{{1,2,3,4,6,7},{5,8,9,10}} {{1,2,3,4,6},{5,7,8,9,10}}=>{{1,2,3,4,7,8,9,10},{5,6}} {{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},{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},{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},{6,7,8,9},{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},{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},{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},{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},{8,9},{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},{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},{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},{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},{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},{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},{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},{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}} {{1,3,6,7,8,9,10},{2,5},{4}}=>{{1,6,7,8,9,10},{2,3,5},{4}} {{1,2,3,4,9,10},{5,6,7,8}}=>{{1,2,3,4,6,8},{5,7,9,10}} {{1,3,4,8,9,10},{2,6,7},{5}}=>{{1,4,6,8,9,10},{2,3,7},{5}} {{1,2,7,8,9,10},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7,8,9,10}} {{1,4,7,8,9,10},{2,6},{3},{5}}=>{{1,7,8,9,10},{2,4,6},{3},{5}} {{1,3,4,5,10},{2,7,8,9},{6}}=>{{1,4,8,10},{2,3,5,7,9},{6}} {{1,2,5,9,10},{3,4,8},{6,7}}=>{{1,2,4,5,9,10},{3,7},{6,8}} {{1,4,5,9,10},{2,7,8},{3},{6}}=>{{1,5,7,9,10},{2,4,8},{3},{6}} {{1,3,8,9,10},{2,5},{4,7},{6}}=>{{1,7},{2,3,8,9,10},{4,5},{6}} {{1,5,8,9,10},{2,7},{3},{4},{6}}=>{{1,8,9,10},{2,5,7},{3},{4},{6}} {{1,2,5,6},{3,4,9,10},{7,8}}=>{{1,2,4,5,8},{3,6},{7,9,10}} {{1,4,5,6},{2,8,9,10},{3},{7}}=>{{1,5,8,9,10},{2,4,6},{3},{7}} {{1,2,3,10},{4,5,6},{7,8,9}}=>{{1,2,3,5,8,10},{4,6},{7,9}} {{1,3,6,10},{2,5,9},{4,8},{7}}=>{{1,10},{2,3,9},{4,5,6,8},{7}} {{1,5,6,10},{2,8,9},{3},{4},{7}}=>{{1,6,8,10},{2,5,9},{3},{4},{7}} {{1,2,9,10},{3,4},{5,6},{7,8}}=>{{1,2,4},{3,6},{5,8},{7,9,10}} {{1,4,9,10},{2,6},{3,8},{5},{7}}=>{{1,9,10},{2,8},{3,4,6},{5},{7}} {{1,6,9,10},{2,8},{3},{4},{5},{7}}=>{{1,9,10},{2,6,8},{3},{4},{5},{7}} {{1,3,4},{2,6,7},{5,9,10},{8}}=>{{1,4},{2,3,7},{5,6,9,10},{8}} {{1,2,7},{3,4,10},{5,6},{8,9}}=>{{1,2,4,9},{3,6},{5,7},{8,10}} {{1,4,7},{2,6,10},{3,9},{5},{8}}=>{{1,10},{2,7},{3,4,6,9},{5},{8}} {{1,6,7},{2,9,10},{3},{4},{5},{8}}=>{{1,7},{2,6,9,10},{3},{4},{5},{8}} {{1,3,10},{2,5},{4,7},{6,9},{8}}=>{{1,9},{2,3,7},{4,5},{6,10},{8}} {{1,5,10},{2,7},{3,9},{4},{6},{8}}=>{{1,10},{2,9},{3,5,7},{4},{6},{8}} {{1,7,10},{2,9},{3},{4},{5},{6},{8}}=>{{1,10},{2,7,9},{3},{4},{5},{6},{8}} {{1,4},{2,6},{3,8},{5,10},{7},{9}}=>{{1,10},{2,8},{3,4},{5,6},{7},{9}} {{1,6},{2,8},{3,10},{4},{5},{7},{9}}=>{{1,10},{2,8},{3,6},{4},{5},{7},{9}} {{1,8},{2,10},{3},{4},{5},{6},{7},{9}}=>{{1,10},{2,8},{3},{4},{5},{6},{7},{9}} {{1,3},{2,4},{5},{6},{7},{8},{9},{10}}=>{{1,4},{2,3},{5},{6},{7},{8},{9},{10}} {{1,4},{2,5},{3,6},{7},{8},{9},{10}}=>{{1,6},{2,5},{3,4},{7},{8},{9},{10}} {{1,2,4},{3,5},{6},{7},{8},{9},{10}}=>{{1,2,5},{3,4},{6},{7},{8},{9},{10}} {{1,5},{2,6},{3,7},{4,8},{9},{10}}=>{{1,8},{2,7},{3,6},{4,5},{9},{10}} {{1,2,5},{3,6},{4,7},{8},{9},{10}}=>{{1,2,7},{3,6},{4,5},{8},{9},{10}} {{1,3,5},{2,4,6},{7},{8},{9},{10}}=>{{1,6},{2,3,4,5},{7},{8},{9},{10}} {{1,2,3,5},{4,6},{7},{8},{9},{10}}=>{{1,2,3,6},{4,5},{7},{8},{9},{10}} {{1,2,6},{3,7},{4,8},{5,9},{10}}=>{{1,2,9},{3,8},{4,7},{5,6},{10}} {{1,3,6},{2,4,7},{5,8},{9},{10}}=>{{1,8},{2,3,4,7},{5,6},{9},{10}} {{1,2,3,6},{4,7},{5,8},{9},{10}}=>{{1,2,3,8},{4,7},{5,6},{9},{10}} {{1,2,4,6},{3,5,7},{8},{9},{10}}=>{{1,2,7},{3,4,5,6},{8},{9},{10}} {{1,2,3,4,6},{5,7},{8},{9},{10}}=>{{1,2,3,4,7},{5,6},{8},{9},{10}} {{1,3,7},{2,4,8},{5,9},{6,10}}=>{{1,10},{2,3,4,9},{5,8},{6,7}} {{1,2,3,7},{4,8},{5,9},{6,10}}=>{{1,2,3,10},{4,9},{5,8},{6,7}} {{1,4,7},{2,5,8},{3,6,9},{10}}=>{{1,9},{2,8},{3,4,5,6,7},{10}} {{1,2,4,7},{3,5,8},{6,9},{10}}=>{{1,2,9},{3,4,5,8},{6,7},{10}} {{1,2,3,4,7},{5,8},{6,9},{10}}=>{{1,2,3,4,9},{5,8},{6,7},{10}} {{1,3,5,7},{2,4,6,8},{9},{10}}=>{{1,8},{2,3,4,5,6,7},{9},{10}} {{1,2,3,5,7},{4,6,8},{9},{10}}=>{{1,2,3,8},{4,5,6,7},{9},{10}} {{1,2,3,4,5,7},{6,8},{9},{10}}=>{{1,2,3,4,5,8},{6,7},{9},{10}} {{1,2,5,8},{3,6,9},{4,7,10}}=>{{1,2,10},{3,9},{4,5,6,7,8}} {{1,3,5,8},{2,4,6,9},{7,10}}=>{{1,10},{2,3,4,5,6,9},{7,8}} {{1,2,3,5,8},{4,6,9},{7,10}}=>{{1,2,3,10},{4,5,6,9},{7,8}} {{1,2,3,4,5,8},{6,9},{7,10}}=>{{1,2,3,4,5,10},{6,9},{7,8}} {{1,2,4,6,8},{3,5,7,9},{10}}=>{{1,2,9},{3,4,5,6,7,8},{10}} {{1,2,3,4,6,8},{5,7,9},{10}}=>{{1,2,3,4,9},{5,6,7,8},{10}} {{1,2,3,4,5,6,8},{7,9},{10}}=>{{1,2,3,4,5,6,9},{7,8},{10}} {{1,2,3,4,5,7,9},{6,8,10}}=>{{1,2,3,4,5,10},{6,7,8,9}} {{1,2,3,4,5,6,7,9},{8,10}}=>{{1,2,3,4,5,6,7,10},{8,9}} {{1,2,3,4,5,8,10},{6,9},{7}}=>{{1,2,3,4,5,10},{6,8,9},{7}} {{1,2,3,4,5,6,10},{7},{8},{9}}=>{{1,2,3,4,5,6,10},{7},{8},{9}} {{1,2,3,7,8,10},{4,5,9},{6}}=>{{1,2,3,5,7,10},{4,8,9},{6}} {{1,2,3,4,9,10},{5,6},{7,8}}=>{{1,2,3,4,6},{5,8},{7,9,10}} {{1,2,3,4,7,10},{5,9},{6},{8}}=>{{1,2,3,4,10},{5,7,9},{6},{8}} {{1,6,7,8,10},{2,3,4,9},{5}}=>{{1,3,7,10},{2,4,6,8,9},{5}} {{1,2,6,9,10},{3,7,8},{4,5}}=>{{1,2,5},{3,8},{4,6,7,9,10}} {{1,2,6,7,10},{3,4,9},{5},{8}}=>{{1,2,4,6,10},{3,7,9},{5},{8}} {{1,2,3,8,10},{4,7},{5},{6,9}}=>{{1,2,3,10},{4,7},{5},{6,8,9}} {{1,2,7,8},{3,4},{5,6,9,10}}=>{{1,2,4},{3,6,7,9,10},{5,8}} {{1,2,3,9},{4},{5,6,7,10},{8}}=>{{1,2,3,6,10},{4},{5,7,9},{8}} {{1,8,9,10},{2,3,4},{5,6,7}}=>{{1,3,6,8,9,10},{2,4},{5,7}} {{1,5,8,10},{2,6,9},{3,7},{4}}=>{{1,10},{2,8,9},{3,5,6,7},{4}} {{1,5,6,10},{2,3,9},{4},{7},{8}}=>{{1,3,5,10},{2,6,9},{4},{7},{8}} {{1,2,5,10},{3,9},{4},{6},{7},{8}}=>{{1,2,10},{3,5,9},{4},{6},{7},{8}} {{1,2,6},{3},{4,5,9},{7,8,10}}=>{{1,2,5,6},{3},{4,8,9},{7,10}} {{1,7,8},{2,3},{4,9,10},{5,6}}=>{{1,3},{2,6},{4,8},{5,7,9,10}} {{1,5,9},{2,8},{3},{4,7,10},{6}}=>{{1,10},{2,7,8},{3},{4,5,9},{6}} {{1,2,9},{3},{4,5,10},{6},{7},{8}}=>{{1,2,5,9},{3},{4,10},{6},{7},{8}} {{1,6,10},{2,8},{3},{4,9},{5},{7}}=>{{1,10},{2,9},{3},{4,6,8},{5},{7}} {{1,4,10},{2,9},{3},{5},{6},{7},{8}}=>{{1,10},{2,4,9},{3},{5},{6},{7},{8}} {{1,6},{2},{3,8},{4},{5,9},{7,10}}=>{{1,10},{2},{3,9},{4},{5,6},{7,8}} {{1,8},{2},{3,9},{4},{5,10},{6},{7}}=>{{1,10},{2},{3,9},{4},{5,8},{6},{7}} {{1,9},{2},{3,10},{4},{5},{6},{7},{8}}=>{{1,10},{2},{3,9},{4},{5},{6},{7},{8}} {{1,9},{2,10},{3},{4},{5},{6},{7},{8}}=>{{1,10},{2,9},{3},{4},{5},{6},{7},{8}} {{1,8},{2,9},{3,10},{4},{5},{6},{7}}=>{{1,10},{2,9},{3,8},{4},{5},{6},{7}} {{1,8,10},{2,9},{3},{4},{5},{6},{7}}=>{{1,10},{2,8,9},{3},{4},{5},{6},{7}} {{1,7},{2,8},{3,9},{4,10},{5},{6}}=>{{1,10},{2,9},{3,8},{4,7},{5},{6}} {{1,7,10},{2,8},{3,9},{4},{5},{6}}=>{{1,10},{2,9},{3,7,8},{4},{5},{6}} {{1,7,9},{2,8,10},{3},{4},{5},{6}}=>{{1,10},{2,7,8,9},{3},{4},{5},{6}} {{1,7,9,10},{2,8},{3},{4},{5},{6}}=>{{1,9,10},{2,7,8},{3},{4},{5},{6}} {{1,6,10},{2,7},{3,8},{4,9},{5}}=>{{1,10},{2,9},{3,8},{4,6,7},{5}} {{1,6,9},{2,7,10},{3,8},{4},{5}}=>{{1,10},{2,9},{3,6,7,8},{4},{5}} {{1,6,9,10},{2,7},{3,8},{4},{5}}=>{{1,9,10},{2,8},{3,6,7},{4},{5}} {{1,6,8,10},{2,7,9},{3},{4},{5}}=>{{1,10},{2,6,7,8,9},{3},{4},{5}} {{1,6,8,9,10},{2,7},{3},{4},{5}}=>{{1,8,9,10},{2,6,7},{3},{4},{5}} {{1,5,9},{2,6,10},{3,7},{4,8}}=>{{1,10},{2,9},{3,8},{4,5,6,7}} {{1,5,9,10},{2,6},{3,7},{4,8}}=>{{1,9,10},{2,8},{3,7},{4,5,6}} {{1,5,8},{2,6,9},{3,7,10},{4}}=>{{1,10},{2,9},{3,5,6,7,8},{4}} {{1,5,8,9,10},{2,6},{3,7},{4}}=>{{1,8,9,10},{2,7},{3,5,6},{4}} {{1,5,7,9},{2,6,8,10},{3},{4}}=>{{1,10},{2,5,6,7,8,9},{3},{4}} {{1,5,7,9,10},{2,6,8},{3},{4}}=>{{1,9,10},{2,5,6,7,8},{3},{4}} {{1,5,7,8,9,10},{2,6},{3},{4}}=>{{1,7,8,9,10},{2,5,6},{3},{4}} {{1,4,7,10},{2,5,8},{3,6,9}}=>{{1,10},{2,9},{3,4,5,6,7,8}} {{1,4,7,9},{2,5,8,10},{3,6}}=>{{1,10},{2,7,8,9},{3,4,5,6}} {{1,4,7,9,10},{2,5,8},{3,6}}=>{{1,9,10},{2,7,8},{3,4,5,6}} {{1,4,7,8,9,10},{2,5},{3,6}}=>{{1,7,8,9,10},{2,6},{3,4,5}} {{1,4,6,8,10},{2,5,7,9},{3}}=>{{1,10},{2,4,5,6,7,8,9},{3}} {{1,4,6,8,9,10},{2,5,7},{3}}=>{{1,8,9,10},{2,4,5,6,7},{3}} {{1,4,6,7,8,9,10},{2,5},{3}}=>{{1,6,7,8,9,10},{2,4,5},{3}} {{1,3,5,7,8,9,10},{2,4,6}}=>{{1,7,8,9,10},{2,3,4,5,6}} {{1,3,5,6,7,8,9,10},{2,4}}=>{{1,5,6,7,8,9,10},{2,3,4}} {{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},{5,6,7,8,9,10}}=>{{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},{6,7,8,9,10}}=>{{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},{6,7,8,9,10}}=>{{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},{7,8,9,10}}=>{{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},{7,8,9,10}}=>{{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},{7,8,9,10}}=>{{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},{8,9,10}}=>{{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},{8,9,10}}=>{{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},{8,9,10}}=>{{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},{8,9,10}}=>{{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},{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}} {{1,2,3,4,5,6,7,8,9,10,11}}=>{{1,2,3,4,5,6,7,8,9,10,11}} {{1,2},{3,4,5,6,7,8,9,10,11}}=>{{1,2},{3,4,5,6,7,8,9,10,11}} {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}} {{1,2},{3,4},{5,6},{7,8},{9,12},{10,11}}=>{{1,2},{3,4},{5,6},{7,8},{9,11},{10,12}} {{1,2},{3,4},{5,6},{7,10},{8,9},{11,12}}=>{{1,2},{3,4},{5,6},{7,9},{8,10},{11,12}} {{1,2},{3,4},{5,6},{7,12},{8,9},{10,11}}=>{{1,2},{3,4},{5,6},{7,9},{8,11},{10,12}} {{1,2},{3,4},{5,6},{7,12},{8,11},{9,10}}=>{{1,2},{3,4},{5,6},{7,10},{8,11},{9,12}} {{1,2},{3,4},{5,8},{6,7},{9,10},{11,12}}=>{{1,2},{3,4},{5,7},{6,8},{9,10},{11,12}} {{1,2},{3,4},{5,8},{6,7},{9,12},{10,11}}=>{{1,2},{3,4},{5,7},{6,8},{9,11},{10,12}} {{1,2},{3,4},{5,10},{6,7},{8,9},{11,12}}=>{{1,2},{3,4},{5,7},{6,9},{8,10},{11,12}} {{1,2},{3,4},{5,12},{6,7},{8,9},{10,11}}=>{{1,2},{3,4},{5,7},{6,9},{8,11},{10,12}} {{1,2},{3,4},{5,12},{6,7},{8,11},{9,10}}=>{{1,2},{3,4},{5,7},{6,10},{8,11},{9,12}} {{1,2},{3,4},{5,10},{6,9},{7,8},{11,12}}=>{{1,2},{3,4},{5,8},{6,9},{7,10},{11,12}} {{1,2},{3,4},{5,12},{6,9},{7,8},{10,11}}=>{{1,2},{3,4},{5,8},{6,9},{7,11},{10,12}} {{1,2},{3,4},{5,12},{6,11},{7,8},{9,10}}=>{{1,2},{3,4},{5,8},{6,10},{7,11},{9,12}} {{1,2},{3,4},{5,12},{6,11},{7,10},{8,9}}=>{{1,2},{3,4},{5,9},{6,10},{7,11},{8,12}} {{1,2},{3,6},{4,5},{7,8},{9,10},{11,12}}=>{{1,2},{3,5},{4,6},{7,8},{9,10},{11,12}} {{1,2},{3,6},{4,5},{7,8},{9,12},{10,11}}=>{{1,2},{3,5},{4,6},{7,8},{9,11},{10,12}} {{1,2},{3,6},{4,5},{7,10},{8,9},{11,12}}=>{{1,2},{3,5},{4,6},{7,9},{8,10},{11,12}} {{1,2},{3,6},{4,5},{7,12},{8,9},{10,11}}=>{{1,2},{3,5},{4,6},{7,9},{8,11},{10,12}} {{1,2},{3,6},{4,5},{7,12},{8,11},{9,10}}=>{{1,2},{3,5},{4,6},{7,10},{8,11},{9,12}} {{1,2},{3,8},{4,5},{6,7},{9,10},{11,12}}=>{{1,2},{3,5},{4,7},{6,8},{9,10},{11,12}} {{1,2},{3,8},{4,5},{6,7},{9,12},{10,11}}=>{{1,2},{3,5},{4,7},{6,8},{9,11},{10,12}} {{1,2},{3,10},{4,5},{6,7},{8,9},{11,12}}=>{{1,2},{3,5},{4,7},{6,9},{8,10},{11,12}} {{1,2},{3,12},{4,5},{6,7},{8,9},{10,11}}=>{{1,2},{3,5},{4,7},{6,9},{8,11},{10,12}} {{1,2},{3,12},{4,5},{6,7},{8,11},{9,10}}=>{{1,2},{3,5},{4,7},{6,10},{8,11},{9,12}} {{1,2},{3,10},{4,5},{6,9},{7,8},{11,12}}=>{{1,2},{3,5},{4,8},{6,9},{7,10},{11,12}} {{1,2},{3,12},{4,5},{6,9},{7,8},{10,11}}=>{{1,2},{3,5},{4,8},{6,9},{7,11},{10,12}} {{1,2},{3,12},{4,5},{6,11},{7,8},{9,10}}=>{{1,2},{3,5},{4,8},{6,10},{7,11},{9,12}} {{1,2},{3,12},{4,5},{6,11},{7,10},{8,9}}=>{{1,2},{3,5},{4,9},{6,10},{7,11},{8,12}} {{1,2},{3,8},{4,7},{5,6},{9,10},{11,12}}=>{{1,2},{3,6},{4,7},{5,8},{9,10},{11,12}} {{1,2},{3,8},{4,7},{5,6},{9,12},{10,11}}=>{{1,2},{3,6},{4,7},{5,8},{9,11},{10,12}} {{1,2},{3,10},{4,7},{5,6},{8,9},{11,12}}=>{{1,2},{3,6},{4,7},{5,9},{8,10},{11,12}} {{1,2},{3,12},{4,7},{5,6},{8,9},{10,11}}=>{{1,2},{3,6},{4,7},{5,9},{8,11},{10,12}} {{1,2},{3,12},{4,7},{5,6},{8,11},{9,10}}=>{{1,2},{3,6},{4,7},{5,10},{8,11},{9,12}} {{1,2},{3,10},{4,9},{5,6},{7,8},{11,12}}=>{{1,2},{3,6},{4,8},{5,9},{7,10},{11,12}} {{1,2},{3,12},{4,9},{5,6},{7,8},{10,11}}=>{{1,2},{3,6},{4,8},{5,9},{7,11},{10,12}} {{1,2},{3,12},{4,11},{5,6},{7,8},{9,10}}=>{{1,2},{3,6},{4,8},{5,10},{7,11},{9,12}} {{1,2},{3,12},{4,11},{5,6},{7,10},{8,9}}=>{{1,2},{3,6},{4,9},{5,10},{7,11},{8,12}} {{1,2},{3,10},{4,9},{5,8},{6,7},{11,12}}=>{{1,2},{3,7},{4,8},{5,9},{6,10},{11,12}} {{1,2},{3,12},{4,9},{5,8},{6,7},{10,11}}=>{{1,2},{3,7},{4,8},{5,9},{6,11},{10,12}} {{1,2},{3,12},{4,11},{5,8},{6,7},{9,10}}=>{{1,2},{3,7},{4,8},{5,10},{6,11},{9,12}} {{1,2},{3,12},{4,11},{5,10},{6,7},{8,9}}=>{{1,2},{3,7},{4,9},{5,10},{6,11},{8,12}} {{1,2},{3,12},{4,11},{5,10},{6,9},{7,8}}=>{{1,2},{3,8},{4,9},{5,10},{6,11},{7,12}} {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12}}=>{{1,3},{2,4},{5,6},{7,8},{9,10},{11,12}} {{1,4},{2,3},{5,6},{7,8},{9,12},{10,11}}=>{{1,3},{2,4},{5,6},{7,8},{9,11},{10,12}} {{1,4},{2,3},{5,6},{7,10},{8,9},{11,12}}=>{{1,3},{2,4},{5,6},{7,9},{8,10},{11,12}} {{1,4},{2,3},{5,6},{7,12},{8,9},{10,11}}=>{{1,3},{2,4},{5,6},{7,9},{8,11},{10,12}} {{1,4},{2,3},{5,6},{7,12},{8,11},{9,10}}=>{{1,3},{2,4},{5,6},{7,10},{8,11},{9,12}} {{1,4},{2,3},{5,8},{6,7},{9,10},{11,12}}=>{{1,3},{2,4},{5,7},{6,8},{9,10},{11,12}} {{1,4},{2,3},{5,8},{6,7},{9,12},{10,11}}=>{{1,3},{2,4},{5,7},{6,8},{9,11},{10,12}} {{1,4},{2,3},{5,10},{6,7},{8,9},{11,12}}=>{{1,3},{2,4},{5,7},{6,9},{8,10},{11,12}} {{1,4},{2,3},{5,12},{6,7},{8,9},{10,11}}=>{{1,3},{2,4},{5,7},{6,9},{8,11},{10,12}} {{1,4},{2,3},{5,12},{6,7},{8,11},{9,10}}=>{{1,3},{2,4},{5,7},{6,10},{8,11},{9,12}} {{1,4},{2,3},{5,10},{6,9},{7,8},{11,12}}=>{{1,3},{2,4},{5,8},{6,9},{7,10},{11,12}} {{1,4},{2,3},{5,12},{6,9},{7,8},{10,11}}=>{{1,3},{2,4},{5,8},{6,9},{7,11},{10,12}} {{1,4},{2,3},{5,12},{6,11},{7,8},{9,10}}=>{{1,3},{2,4},{5,8},{6,10},{7,11},{9,12}} {{1,4},{2,3},{5,12},{6,11},{7,10},{8,9}}=>{{1,3},{2,4},{5,9},{6,10},{7,11},{8,12}} {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12}}=>{{1,3},{2,5},{4,6},{7,8},{9,10},{11,12}} {{1,6},{2,3},{4,5},{7,8},{9,12},{10,11}}=>{{1,3},{2,5},{4,6},{7,8},{9,11},{10,12}} {{1,6},{2,3},{4,5},{7,10},{8,9},{11,12}}=>{{1,3},{2,5},{4,6},{7,9},{8,10},{11,12}} {{1,6},{2,3},{4,5},{7,12},{8,9},{10,11}}=>{{1,3},{2,5},{4,6},{7,9},{8,11},{10,12}} {{1,6},{2,3},{4,5},{7,12},{8,11},{9,10}}=>{{1,3},{2,5},{4,6},{7,10},{8,11},{9,12}} {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12}}=>{{1,3},{2,5},{4,7},{6,8},{9,10},{11,12}} {{1,8},{2,3},{4,5},{6,7},{9,12},{10,11}}=>{{1,3},{2,5},{4,7},{6,8},{9,11},{10,12}} {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12}}=>{{1,3},{2,5},{4,7},{6,9},{8,10},{11,12}} {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11}}=>{{1,3},{2,5},{4,7},{6,9},{8,11},{10,12}} {{1,12},{2,3},{4,5},{6,7},{8,11},{9,10}}=>{{1,3},{2,5},{4,7},{6,10},{8,11},{9,12}} {{1,10},{2,3},{4,5},{6,9},{7,8},{11,12}}=>{{1,3},{2,5},{4,8},{6,9},{7,10},{11,12}} {{1,12},{2,3},{4,5},{6,9},{7,8},{10,11}}=>{{1,3},{2,5},{4,8},{6,9},{7,11},{10,12}} {{1,12},{2,3},{4,5},{6,11},{7,8},{9,10}}=>{{1,3},{2,5},{4,8},{6,10},{7,11},{9,12}} {{1,12},{2,3},{4,5},{6,11},{7,10},{8,9}}=>{{1,3},{2,5},{4,9},{6,10},{7,11},{8,12}} {{1,8},{2,3},{4,7},{5,6},{9,10},{11,12}}=>{{1,3},{2,6},{4,7},{5,8},{9,10},{11,12}} {{1,8},{2,3},{4,7},{5,6},{9,12},{10,11}}=>{{1,3},{2,6},{4,7},{5,8},{9,11},{10,12}} {{1,10},{2,3},{4,7},{5,6},{8,9},{11,12}}=>{{1,3},{2,6},{4,7},{5,9},{8,10},{11,12}} {{1,12},{2,3},{4,7},{5,6},{8,9},{10,11}}=>{{1,3},{2,6},{4,7},{5,9},{8,11},{10,12}} {{1,12},{2,3},{4,7},{5,6},{8,11},{9,10}}=>{{1,3},{2,6},{4,7},{5,10},{8,11},{9,12}} {{1,10},{2,3},{4,9},{5,6},{7,8},{11,12}}=>{{1,3},{2,6},{4,8},{5,9},{7,10},{11,12}} {{1,12},{2,3},{4,9},{5,6},{7,8},{10,11}}=>{{1,3},{2,6},{4,8},{5,9},{7,11},{10,12}} {{1,12},{2,3},{4,11},{5,6},{7,8},{9,10}}=>{{1,3},{2,6},{4,8},{5,10},{7,11},{9,12}} {{1,12},{2,3},{4,11},{5,6},{7,10},{8,9}}=>{{1,3},{2,6},{4,9},{5,10},{7,11},{8,12}} {{1,10},{2,3},{4,9},{5,8},{6,7},{11,12}}=>{{1,3},{2,7},{4,8},{5,9},{6,10},{11,12}} {{1,12},{2,3},{4,9},{5,8},{6,7},{10,11}}=>{{1,3},{2,7},{4,8},{5,9},{6,11},{10,12}} {{1,12},{2,3},{4,11},{5,8},{6,7},{9,10}}=>{{1,3},{2,7},{4,8},{5,10},{6,11},{9,12}} {{1,12},{2,3},{4,11},{5,10},{6,7},{8,9}}=>{{1,3},{2,7},{4,9},{5,10},{6,11},{8,12}} {{1,12},{2,3},{4,11},{5,10},{6,9},{7,8}}=>{{1,3},{2,8},{4,9},{5,10},{6,11},{7,12}} {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12}}=>{{1,4},{2,5},{3,6},{7,8},{9,10},{11,12}} {{1,6},{2,5},{3,4},{7,8},{9,12},{10,11}}=>{{1,4},{2,5},{3,6},{7,8},{9,11},{10,12}} {{1,6},{2,5},{3,4},{7,10},{8,9},{11,12}}=>{{1,4},{2,5},{3,6},{7,9},{8,10},{11,12}} {{1,6},{2,5},{3,4},{7,12},{8,9},{10,11}}=>{{1,4},{2,5},{3,6},{7,9},{8,11},{10,12}} {{1,6},{2,5},{3,4},{7,12},{8,11},{9,10}}=>{{1,4},{2,5},{3,6},{7,10},{8,11},{9,12}} {{1,8},{2,5},{3,4},{6,7},{9,10},{11,12}}=>{{1,4},{2,5},{3,7},{6,8},{9,10},{11,12}} {{1,8},{2,5},{3,4},{6,7},{9,12},{10,11}}=>{{1,4},{2,5},{3,7},{6,8},{9,11},{10,12}} {{1,10},{2,5},{3,4},{6,7},{8,9},{11,12}}=>{{1,4},{2,5},{3,7},{6,9},{8,10},{11,12}} {{1,12},{2,5},{3,4},{6,7},{8,9},{10,11}}=>{{1,4},{2,5},{3,7},{6,9},{8,11},{10,12}} {{1,12},{2,5},{3,4},{6,7},{8,11},{9,10}}=>{{1,4},{2,5},{3,7},{6,10},{8,11},{9,12}} {{1,10},{2,5},{3,4},{6,9},{7,8},{11,12}}=>{{1,4},{2,5},{3,8},{6,9},{7,10},{11,12}} {{1,12},{2,5},{3,4},{6,9},{7,8},{10,11}}=>{{1,4},{2,5},{3,8},{6,9},{7,11},{10,12}} {{1,12},{2,5},{3,4},{6,11},{7,8},{9,10}}=>{{1,4},{2,5},{3,8},{6,10},{7,11},{9,12}} {{1,12},{2,5},{3,4},{6,11},{7,10},{8,9}}=>{{1,4},{2,5},{3,9},{6,10},{7,11},{8,12}} {{1,8},{2,7},{3,4},{5,6},{9,10},{11,12}}=>{{1,4},{2,6},{3,7},{5,8},{9,10},{11,12}} {{1,8},{2,7},{3,4},{5,6},{9,12},{10,11}}=>{{1,4},{2,6},{3,7},{5,8},{9,11},{10,12}} {{1,10},{2,7},{3,4},{5,6},{8,9},{11,12}}=>{{1,4},{2,6},{3,7},{5,9},{8,10},{11,12}} {{1,12},{2,7},{3,4},{5,6},{8,9},{10,11}}=>{{1,4},{2,6},{3,7},{5,9},{8,11},{10,12}} {{1,12},{2,7},{3,4},{5,6},{8,11},{9,10}}=>{{1,4},{2,6},{3,7},{5,10},{8,11},{9,12}} {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12}}=>{{1,4},{2,6},{3,8},{5,9},{7,10},{11,12}} {{1,12},{2,9},{3,4},{5,6},{7,8},{10,11}}=>{{1,4},{2,6},{3,8},{5,9},{7,11},{10,12}} {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10}}=>{{1,4},{2,6},{3,8},{5,10},{7,11},{9,12}} {{1,12},{2,11},{3,4},{5,6},{7,10},{8,9}}=>{{1,4},{2,6},{3,9},{5,10},{7,11},{8,12}} {{1,10},{2,9},{3,4},{5,8},{6,7},{11,12}}=>{{1,4},{2,7},{3,8},{5,9},{6,10},{11,12}} {{1,12},{2,9},{3,4},{5,8},{6,7},{10,11}}=>{{1,4},{2,7},{3,8},{5,9},{6,11},{10,12}} {{1,12},{2,11},{3,4},{5,8},{6,7},{9,10}}=>{{1,4},{2,7},{3,8},{5,10},{6,11},{9,12}} {{1,12},{2,11},{3,4},{5,10},{6,7},{8,9}}=>{{1,4},{2,7},{3,9},{5,10},{6,11},{8,12}} {{1,12},{2,11},{3,4},{5,10},{6,9},{7,8}}=>{{1,4},{2,8},{3,9},{5,10},{6,11},{7,12}} {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12}}=>{{1,5},{2,6},{3,7},{4,8},{9,10},{11,12}} {{1,8},{2,7},{3,6},{4,5},{9,12},{10,11}}=>{{1,5},{2,6},{3,7},{4,8},{9,11},{10,12}} {{1,10},{2,7},{3,6},{4,5},{8,9},{11,12}}=>{{1,5},{2,6},{3,7},{4,9},{8,10},{11,12}} {{1,12},{2,7},{3,6},{4,5},{8,9},{10,11}}=>{{1,5},{2,6},{3,7},{4,9},{8,11},{10,12}} {{1,12},{2,7},{3,6},{4,5},{8,11},{9,10}}=>{{1,5},{2,6},{3,7},{4,10},{8,11},{9,12}} {{1,10},{2,9},{3,6},{4,5},{7,8},{11,12}}=>{{1,5},{2,6},{3,8},{4,9},{7,10},{11,12}} {{1,12},{2,9},{3,6},{4,5},{7,8},{10,11}}=>{{1,5},{2,6},{3,8},{4,9},{7,11},{10,12}} {{1,12},{2,11},{3,6},{4,5},{7,8},{9,10}}=>{{1,5},{2,6},{3,8},{4,10},{7,11},{9,12}} {{1,12},{2,11},{3,6},{4,5},{7,10},{8,9}}=>{{1,5},{2,6},{3,9},{4,10},{7,11},{8,12}} {{1,10},{2,9},{3,8},{4,5},{6,7},{11,12}}=>{{1,5},{2,7},{3,8},{4,9},{6,10},{11,12}} {{1,12},{2,9},{3,8},{4,5},{6,7},{10,11}}=>{{1,5},{2,7},{3,8},{4,9},{6,11},{10,12}} {{1,12},{2,11},{3,8},{4,5},{6,7},{9,10}}=>{{1,5},{2,7},{3,8},{4,10},{6,11},{9,12}} {{1,12},{2,11},{3,10},{4,5},{6,7},{8,9}}=>{{1,5},{2,7},{3,9},{4,10},{6,11},{8,12}} {{1,12},{2,11},{3,10},{4,5},{6,9},{7,8}}=>{{1,5},{2,8},{3,9},{4,10},{6,11},{7,12}} {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12}}=>{{1,6},{2,7},{3,8},{4,9},{5,10},{11,12}} {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11}}=>{{1,6},{2,7},{3,8},{4,9},{5,11},{10,12}} {{1,12},{2,11},{3,8},{4,7},{5,6},{9,10}}=>{{1,6},{2,7},{3,8},{4,10},{5,11},{9,12}} {{1,12},{2,11},{3,10},{4,7},{5,6},{8,9}}=>{{1,6},{2,7},{3,9},{4,10},{5,11},{8,12}} {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8}}=>{{1,6},{2,8},{3,9},{4,10},{5,11},{7,12}} {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}} {{1,2},{3,4},{5,6},{7,8},{9,10,11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10,11,12}} {{1,2},{3,4},{5,6},{7,8,9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8,9,10},{11,12}} {{1,2},{3,4},{5,6},{7,8,9,10,11,12}}=>{{1,2},{3,4},{5,6},{7,8,9,10,11,12}} {{1,2},{3,4},{5,6},{7,9,10,12},{8,11}}=>{{1,2},{3,4},{5,6},{7,10,11},{8,9,12}} {{1,2},{3,4},{5,6,7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6,7,8},{9,10},{11,12}} {{1,2},{3,4},{5,6,7,8},{9,10,11,12}}=>{{1,2},{3,4},{5,6,7,8},{9,10,11,12}} {{1,2},{3,4},{5,6,7,8,9,10},{11,12}}=>{{1,2},{3,4},{5,6,7,8,9,10},{11,12}} {{1,2},{3,4},{5,6,7,8,9,10,11,12}}=>{{1,2},{3,4},{5,6,7,8,9,10,11,12}} {{1,2},{3,4},{5,6,7,9,10,12},{8,11}}=>{{1,2},{3,4},{5,6,7,10,11},{8,9,12}} {{1,2},{3,4},{5,7,8,10},{6,9},{11,12}}=>{{1,2},{3,4},{5,8,9},{6,7,10},{11,12}} {{1,2},{3,4},{5,7,8,10,11,12},{6,9}}=>{{1,2},{3,4},{5,8,9},{6,7,10,11,12}} {{1,2},{3,4},{5,8,9,12},{6,7,10,11}}=>{{1,2},{3,4},{5,7,8,11},{6,9,10,12}} {{1,2},{3,4,5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4,5,6},{7,8},{9,10},{11,12}} {{1,2},{3,4,5,6},{7,8},{9,10,11,12}}=>{{1,2},{3,4,5,6},{7,8},{9,10,11,12}} {{1,2},{3,4,5,6},{7,8,9,10},{11,12}}=>{{1,2},{3,4,5,6},{7,8,9,10},{11,12}} {{1,2},{3,4,5,6},{7,8,9,10,11,12}}=>{{1,2},{3,4,5,6},{7,8,9,10,11,12}} {{1,2},{3,4,5,6},{7,9,10,12},{8,11}}=>{{1,2},{3,4,5,6},{7,10,11},{8,9,12}} {{1,2},{3,4,5,6,7,8},{9,10},{11,12}}=>{{1,2},{3,4,5,6,7,8},{9,10},{11,12}} {{1,2},{3,4,5,6,7,8},{9,10,11,12}}=>{{1,2},{3,4,5,6,7,8},{9,10,11,12}} {{1,2},{3,4,5,6,7,8,9,10},{11,12}}=>{{1,2},{3,4,5,6,7,8,9,10},{11,12}} {{1,2},{3,4,5,6,7,8,9,10,11,12}}=>{{1,2},{3,4,5,6,7,8,9,10,11,12}} {{1,2},{3,4,5,6,7,9,10,12},{8,11}}=>{{1,2},{3,4,5,6,7,10,11},{8,9,12}} {{1,2},{3,4,5,7,8,10},{6,9},{11,12}}=>{{1,2},{3,4,5,8,9},{6,7,10},{11,12}} {{1,2},{3,4,5,7,8,10,11,12},{6,9}}=>{{1,2},{3,4,5,8,9},{6,7,10,11,12}} {{1,2},{3,4,5,8,9,12},{6,7,10,11}}=>{{1,2},{3,4,5,7,8,11},{6,9,10,12}} {{1,2},{3,5,6,8},{4,7},{9,10},{11,12}}=>{{1,2},{3,6,7},{4,5,8},{9,10},{11,12}} {{1,2},{3,5,6,8},{4,7},{9,10,11,12}}=>{{1,2},{3,6,7},{4,5,8},{9,10,11,12}} {{1,2},{3,5,6,8,9,10},{4,7},{11,12}}=>{{1,2},{3,6,7},{4,5,8,9,10},{11,12}} {{1,2},{3,5,6,8,9,10,11,12},{4,7}}=>{{1,2},{3,6,7},{4,5,8,9,10,11,12}} {{1,2},{3,5,6,9,10,12},{4,7},{8,11}}=>{{1,2},{3,6,7},{4,5,10,11},{8,9,12}} {{1,2},{3,5,6,9,10,12},{4,7,8,11}}=>{{1,2},{3,6,7,10,11},{4,5,8,9,12}} {{1,2},{3,6,7,10},{4,5,8,9},{11,12}}=>{{1,2},{3,5,6,9},{4,7,8,10},{11,12}} {{1,2},{3,6,7,10,11,12},{4,5,8,9}}=>{{1,2},{3,5,6,9},{4,7,8,10,11,12}} {{1,2},{3,4,6,7,8,9,11,12},{5,10}}=>{{1,2},{3,4,7,9,10},{5,6,8,11,12}} {{1,2},{3,7,8,12},{4,6,9,11},{5,10}}=>{{1,2},{3,8,12},{4,6,7,9,10},{5,11}} {{1,2,3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2,3,4},{5,6},{7,8},{9,10},{11,12}} {{1,2,3,4},{5,6},{7,8},{9,10,11,12}}=>{{1,2,3,4},{5,6},{7,8},{9,10,11,12}} {{1,2,3,4},{5,6},{7,8,9,10},{11,12}}=>{{1,2,3,4},{5,6},{7,8,9,10},{11,12}} {{1,2,3,4},{5,6},{7,8,9,10,11,12}}=>{{1,2,3,4},{5,6},{7,8,9,10,11,12}} {{1,2,3,4},{5,6},{7,9,10,12},{8,11}}=>{{1,2,3,4},{5,6},{7,10,11},{8,9,12}} {{1,2,3,4},{5,6,7,8},{9,10},{11,12}}=>{{1,2,3,4},{5,6,7,8},{9,10},{11,12}} {{1,2,3,4},{5,6,7,8},{9,10,11,12}}=>{{1,2,3,4},{5,6,7,8},{9,10,11,12}} {{1,2,3,4},{5,6,7,8,9,10},{11,12}}=>{{1,2,3,4},{5,6,7,8,9,10},{11,12}} {{1,2,3,4},{5,6,7,8,9,10,11,12}}=>{{1,2,3,4},{5,6,7,8,9,10,11,12}} {{1,2,3,4},{5,6,7,9,10,12},{8,11}}=>{{1,2,3,4},{5,6,7,10,11},{8,9,12}} {{1,2,3,4},{5,7,8,10},{6,9},{11,12}}=>{{1,2,3,4},{5,8,9},{6,7,10},{11,12}} {{1,2,3,4},{5,7,8,10,11,12},{6,9}}=>{{1,2,3,4},{5,8,9},{6,7,10,11,12}} {{1,2,3,4},{5,8,9,12},{6,7,10,11}}=>{{1,2,3,4},{5,7,8,11},{6,9,10,12}} {{1,2,3,4,5,6},{7,8},{9,10},{11,12}}=>{{1,2,3,4,5,6},{7,8},{9,10},{11,12}} {{1,2,3,4,5,6},{7,8},{9,10,11,12}}=>{{1,2,3,4,5,6},{7,8},{9,10,11,12}} {{1,2,3,4,5,6},{7,8,9,10},{11,12}}=>{{1,2,3,4,5,6},{7,8,9,10},{11,12}} {{1,2,3,4,5,6},{7,8,9,10,11,12}}=>{{1,2,3,4,5,6},{7,8,9,10,11,12}} {{1,2,3,4,5,6},{7,9,10,12},{8,11}}=>{{1,2,3,4,5,6},{7,10,11},{8,9,12}} {{1,2,3,4,5,6,7,8},{9,10},{11,12}}=>{{1,2,3,4,5,6,7,8},{9,10},{11,12}} {{1,2,3,4,5,6,7,8},{9,10,11,12}}=>{{1,2,3,4,5,6,7,8},{9,10,11,12}} {{1,2,3,4,5,6,7,8,9,10},{11,12}}=>{{1,2,3,4,5,6,7,8,9,10},{11,12}} {{1,2,3,4,5,6,7,8,9,10,11,12}}=>{{1,2,3,4,5,6,7,8,9,10,11,12}} {{1,2,3,4,5,6,7,9,10,12},{8,11}}=>{{1,2,3,4,5,6,7,10,11},{8,9,12}} {{1,2,3,4,5,7,8,10},{6,9},{11,12}}=>{{1,2,3,4,5,8,9},{6,7,10},{11,12}} {{1,2,3,4,5,7,8,10,11,12},{6,9}}=>{{1,2,3,4,5,8,9},{6,7,10,11,12}} {{1,2,3,4,5,8,9,12},{6,7,10,11}}=>{{1,2,3,4,5,7,8,11},{6,9,10,12}} {{1,2,3,5,6,8},{4,7},{9,10},{11,12}}=>{{1,2,3,6,7},{4,5,8},{9,10},{11,12}} {{1,2,3,5,6,8},{4,7},{9,10,11,12}}=>{{1,2,3,6,7},{4,5,8},{9,10,11,12}} {{1,2,3,5,6,8,9,10},{4,7},{11,12}}=>{{1,2,3,6,7},{4,5,8,9,10},{11,12}} {{1,2,3,5,6,8,9,10,11,12},{4,7}}=>{{1,2,3,6,7},{4,5,8,9,10,11,12}} {{1,2,3,5,6,9,10,12},{4,7},{8,11}}=>{{1,2,3,6,7},{4,5,10,11},{8,9,12}} {{1,2,3,5,6,9,10,12},{4,7,8,11}}=>{{1,2,3,6,7,10,11},{4,5,8,9,12}} {{1,2,3,6,7,10},{4,5,8,9},{11,12}}=>{{1,2,3,5,6,9},{4,7,8,10},{11,12}} {{1,2,3,6,7,10,11,12},{4,5,8,9}}=>{{1,2,3,5,6,9},{4,7,8,10,11,12}} {{1,2,3,4,6,7,8,9,11,12},{5,10}}=>{{1,2,3,4,7,9,10},{5,6,8,11,12}} {{1,2,3,7,8,12},{4,6,9,11},{5,10}}=>{{1,2,3,8,12},{4,6,7,9,10},{5,11}} {{1,3,4,6},{2,5},{7,8},{9,10},{11,12}}=>{{1,4,5},{2,3,6},{7,8},{9,10},{11,12}} {{1,3,4,6},{2,5},{7,8},{9,10,11,12}}=>{{1,4,5},{2,3,6},{7,8},{9,10,11,12}} {{1,3,4,6},{2,5},{7,8,9,10},{11,12}}=>{{1,4,5},{2,3,6},{7,8,9,10},{11,12}} {{1,3,4,6},{2,5},{7,8,9,10,11,12}}=>{{1,4,5},{2,3,6},{7,8,9,10,11,12}} {{1,3,4,6},{2,5},{7,9,10,12},{8,11}}=>{{1,4,5},{2,3,6},{7,10,11},{8,9,12}} {{1,3,4,6,7,8},{2,5},{9,10},{11,12}}=>{{1,4,5},{2,3,6,7,8},{9,10},{11,12}} {{1,3,4,6,7,8},{2,5},{9,10,11,12}}=>{{1,4,5},{2,3,6,7,8},{9,10,11,12}} {{1,3,4,6,7,8,9,10},{2,5},{11,12}}=>{{1,4,5},{2,3,6,7,8,9,10},{11,12}} {{1,3,4,6,7,8,9,10,11,12},{2,5}}=>{{1,4,5},{2,3,6,7,8,9,10,11,12}} {{1,3,4,6,7,9,10,12},{2,5},{8,11}}=>{{1,4,5},{2,3,6,7,10,11},{8,9,12}} {{1,3,4,7,8,10},{2,5},{6,9},{11,12}}=>{{1,4,5},{2,3,8,9},{6,7,10},{11,12}} {{1,3,4,7,8,10,11,12},{2,5},{6,9}}=>{{1,4,5},{2,3,8,9},{6,7,10,11,12}} {{1,3,4,8,9,12},{2,5},{6,7,10,11}}=>{{1,4,5},{2,3,7,8,11},{6,9,10,12}} {{1,3,4,7,8,10},{2,5,6,9},{11,12}}=>{{1,4,5,8,9},{2,3,6,7,10},{11,12}} {{1,3,4,7,8,10,11,12},{2,5,6,9}}=>{{1,4,5,8,9},{2,3,6,7,10,11,12}} {{1,3,4,8,9,12},{2,5,6,7,10,11}}=>{{1,4,5,7,8,11},{2,3,6,9,10,12}} {{1,3,4,5,8,9,10,12},{2,6,7,11}}=>{{1,4,7,8,10,11},{2,3,5,6,9,12}} {{1,3,4,8,9,12},{2,6,7,11},{5,10}}=>{{1,4,9,10},{2,3,7,8,11},{5,6,12}} {{1,4,5,8},{2,3,6,7},{9,10},{11,12}}=>{{1,3,4,7},{2,5,6,8},{9,10},{11,12}} {{1,4,5,8},{2,3,6,7},{9,10,11,12}}=>{{1,3,4,7},{2,5,6,8},{9,10,11,12}} {{1,4,5,8,9,10},{2,3,6,7},{11,12}}=>{{1,3,4,7},{2,5,6,8,9,10},{11,12}} {{1,4,5,8,9,10,11,12},{2,3,6,7}}=>{{1,3,4,7},{2,5,6,8,9,10,11,12}} {{1,4,5,9,10,12},{2,3,6,7},{8,11}}=>{{1,3,4,7},{2,5,6,10,11},{8,9,12}} {{1,4,5,9,10,12},{2,3,6,7,8,11}}=>{{1,3,4,7,10,11},{2,5,6,8,9,12}} {{1,2,4,5,6,7,9,10},{3,8},{11,12}}=>{{1,2,5,7,8},{3,4,6,9,10},{11,12}} {{1,2,4,5,6,7,9,10,11,12},{3,8}}=>{{1,2,5,7,8},{3,4,6,9,10,11,12}} {{1,4,5,9,10,12},{2,6,7,11},{3,8}}=>{{1,5,6,9,12},{2,7,8},{3,4,10,11}} {{1,5,6,10},{2,4,7,9},{3,8},{11,12}}=>{{1,6,10},{2,4,5,7,8},{3,9},{11,12}} {{1,5,6,10,11,12},{2,4,7,9},{3,8}}=>{{1,6,10,11,12},{2,4,5,7,8},{3,9}} {{1,2,5,6,7,8,11,12},{3,4,9,10}}=>{{1,2,4,5,7,10},{3,6,8,9,11,12}} {{1,6,7,12},{2,5,8,11},{3,4,9,10}}=>{{1,4,10},{2,7,11},{3,5,6,8,9,12}} {{1,3,5,7,9,11},{2,4,6,8,10,12}}=>{{1,12},{2,3,4,5,6,7,8,9,10,11}} {{1,3,5,6,8,10},{2,4,7,9,11,12}}=>{{1,6,7,8,9,10},{2,3,4,5,11,12}} {{1,2,3,4,6,8},{5,7,9,10,11,12}}=>{{1,2,3,4,9,10,11,12},{5,6,7,8}} {{1,2,3,5,7,8},{4,6,9,10,11,12}}=>{{1,2,3,8},{4,5,6,7,9,10,11,12}} {{1,3,5,7,9,10},{2,4,6,8,11,12}}=>{{1,10},{2,3,4,5,6,7,8,9,11,12}} {{1,2,3,6,8,10},{4,5,7,9,11,12}}=>{{1,2,3,5,6,7,8,9,10},{4,11,12}} {{1,2,3,4,5,9},{6,7,8,10,11,12}}=>{{1,2,3,4,5,7,10,11,12},{6,8,9}} {{1,3,4,5,7,11},{2,6,8,9,10,12}}=>{{1,4,9,12},{2,3,5,6,7,8,10,11}} {{1,2,3,5,7,9},{4,6,8,10,11,12}}=>{{1,2,3,10,11,12},{4,5,6,7,8,9}} {{1,2,3,5,6,9},{4,7,8,10,11,12}}=>{{1,2,3,6,7,10,11,12},{4,5,8,9}} {{1,2,4,5,7,10},{3,6,8,9,11,12}}=>{{1,2,5,6,7,8,11,12},{3,4,9,10}} {{1,3,5,7,8,10},{2,4,6,9,11,12}}=>{{1,8,9,10},{2,3,4,5,6,7,11,12}} {{1,3,5,7,8,11},{2,4,6,9,10,12}}=>{{1,8,9,12},{2,3,4,5,6,7,10,11}} {{1,3,5,7,8,9},{2,4,6,10,11,12}}=>{{1,8,10,11,12},{2,3,4,5,6,7,9}} {{1,3,5,6,9,11},{2,4,7,8,10,12}}=>{{1,6,7,12},{2,3,4,5,8,9,10,11}} {{1,3,5,6,9,10},{2,4,7,8,11,12}}=>{{1,6,7,10},{2,3,4,5,8,9,11,12}} {{1,3,5,6,8,11},{2,4,7,9,10,12}}=>{{1,6,7,8,9,12},{2,3,4,5,10,11}} {{1,3,5,6,8,9},{2,4,7,10,11,12}}=>{{1,6,7,8,10,11,12},{2,3,4,5,9}} {{1,3,5,6,7,11},{2,4,8,9,10,12}}=>{{1,6,9,12},{2,3,4,5,7,8,10,11}} {{1,3,5,6,7,10},{2,4,8,9,11,12}}=>{{1,6,9,10},{2,3,4,5,7,8,11,12}} {{1,3,5,6,7,9},{2,4,8,10,11,12}}=>{{1,6,10,11,12},{2,3,4,5,7,8,9}} {{1,3,5,6,7,8},{2,4,9,10,11,12}}=>{{1,6,8},{2,3,4,5,7,9,10,11,12}} {{1,3,4,7,9,11},{2,5,6,8,10,12}}=>{{1,4,5,12},{2,3,6,7,8,9,10,11}} {{1,3,4,7,9,10},{2,5,6,8,11,12}}=>{{1,4,5,10},{2,3,6,7,8,9,11,12}} {{1,3,4,7,8,11},{2,5,6,9,10,12}}=>{{1,4,5,8,9,12},{2,3,6,7,10,11}} {{1,3,4,7,8,10},{2,5,6,9,11,12}}=>{{1,4,5,8,9,10},{2,3,6,7,11,12}} {{1,3,4,7,8,9},{2,5,6,10,11,12}}=>{{1,4,5,8,10,11,12},{2,3,6,7,9}} {{1,3,4,6,9,11},{2,5,7,8,10,12}}=>{{1,4,5,6,7,12},{2,3,8,9,10,11}} {{1,3,4,6,9,10},{2,5,7,8,11,12}}=>{{1,4,5,6,7,10},{2,3,8,9,11,12}} {{1,3,4,6,8,11},{2,5,7,9,10,12}}=>{{1,4,5,6,7,8,9,12},{2,3,10,11}} {{1,3,4,6,8,10},{2,5,7,9,11,12}}=>{{1,4,5,6,7,8,9,10},{2,3,11,12}} {{1,3,4,6,8,9},{2,5,7,10,11,12}}=>{{1,4,5,6,7,8,10,11,12},{2,3,9}} {{1,3,4,6,7,11},{2,5,8,9,10,12}}=>{{1,4,5,6,9,12},{2,3,7,8,10,11}} {{1,3,4,6,7,10},{2,5,8,9,11,12}}=>{{1,4,5,6,9,10},{2,3,7,8,11,12}} {{1,3,4,6,7,9},{2,5,8,10,11,12}}=>{{1,4,5,6,10,11,12},{2,3,7,8,9}} {{1,3,4,6,7,8},{2,5,9,10,11,12}}=>{{1,4,5,6,8},{2,3,7,9,10,11,12}} {{1,3,4,5,9,11},{2,6,7,8,10,12}}=>{{1,4,7,12},{2,3,5,6,8,9,10,11}} {{1,3,4,5,9,10},{2,6,7,8,11,12}}=>{{1,4,7,10},{2,3,5,6,8,9,11,12}} {{1,3,4,5,8,11},{2,6,7,9,10,12}}=>{{1,4,7,8,9,12},{2,3,5,6,10,11}} {{1,3,4,5,8,10},{2,6,7,9,11,12}}=>{{1,4,7,8,9,10},{2,3,5,6,11,12}} {{1,3,4,5,8,9},{2,6,7,10,11,12}}=>{{1,4,7,8,10,11,12},{2,3,5,6,9}} {{1,3,4,5,7,10},{2,6,8,9,11,12}}=>{{1,4,9,10},{2,3,5,6,7,8,11,12}} {{1,3,4,5,7,9},{2,6,8,10,11,12}}=>{{1,4,10,11,12},{2,3,5,6,7,8,9}} {{1,3,4,5,7,8},{2,6,9,10,11,12}}=>{{1,4,8},{2,3,5,6,7,9,10,11,12}} {{1,3,4,5,6,11},{2,7,8,9,10,12}}=>{{1,4,6,7,9,12},{2,3,5,8,10,11}} {{1,3,4,5,6,10},{2,7,8,9,11,12}}=>{{1,4,6,7,9,10},{2,3,5,8,11,12}} {{1,3,4,5,6,9},{2,7,8,10,11,12}}=>{{1,4,6,7,10,11,12},{2,3,5,8,9}} {{1,3,4,5,6,8},{2,7,9,10,11,12}}=>{{1,4,6,7,8},{2,3,5,9,10,11,12}} {{1,3,4,5,6,7},{2,8,9,10,11,12}}=>{{1,4,6,8,9,10,11,12},{2,3,5,7}} {{1,2,5,7,9,11},{3,4,6,8,10,12}}=>{{1,2,4,5,6,7,8,9,10,11},{3,12}} {{1,2,5,7,9,10},{3,4,6,8,11,12}}=>{{1,2,4,5,6,7,8,9,11,12},{3,10}} {{1,2,5,7,8,11},{3,4,6,9,10,12}}=>{{1,2,4,5,6,7,10,11},{3,8,9,12}} {{1,2,5,7,8,10},{3,4,6,9,11,12}}=>{{1,2,4,5,6,7,11,12},{3,8,9,10}} {{1,2,5,7,8,9},{3,4,6,10,11,12}}=>{{1,2,4,5,6,7,9},{3,8,10,11,12}} {{1,2,5,6,9,11},{3,4,7,8,10,12}}=>{{1,2,4,5,8,9,10,11},{3,6,7,12}} {{1,2,5,6,9,10},{3,4,7,8,11,12}}=>{{1,2,4,5,8,9,11,12},{3,6,7,10}} {{1,2,5,6,8,11},{3,4,7,9,10,12}}=>{{1,2,4,5,10,11},{3,6,7,8,9,12}} {{1,2,5,6,8,10},{3,4,7,9,11,12}}=>{{1,2,4,5,11,12},{3,6,7,8,9,10}} {{1,2,5,6,8,9},{3,4,7,10,11,12}}=>{{1,2,4,5,9},{3,6,7,8,10,11,12}} {{1,2,5,6,7,11},{3,4,8,9,10,12}}=>{{1,2,4,5,7,8,10,11},{3,6,9,12}} {{1,2,5,6,7,10},{3,4,8,9,11,12}}=>{{1,2,4,5,7,8,11,12},{3,6,9,10}} {{1,2,5,6,7,9},{3,4,8,10,11,12}}=>{{1,2,4,5,7,8,9},{3,6,10,11,12}} {{1,2,5,6,7,8},{3,4,9,10,11,12}}=>{{1,2,4,5,7,9,10,11,12},{3,6,8}} {{1,2,4,7,9,11},{3,5,6,8,10,12}}=>{{1,2,6,7,8,9,10,11},{3,4,5,12}} {{1,2,4,7,9,10},{3,5,6,8,11,12}}=>{{1,2,6,7,8,9,11,12},{3,4,5,10}} {{1,2,4,7,8,11},{3,5,6,9,10,12}}=>{{1,2,6,7,10,11},{3,4,5,8,9,12}} {{1,2,4,7,8,10},{3,5,6,9,11,12}}=>{{1,2,6,7,11,12},{3,4,5,8,9,10}} {{1,2,4,7,8,9},{3,5,6,10,11,12}}=>{{1,2,6,7,9},{3,4,5,8,10,11,12}} {{1,2,4,6,9,11},{3,5,7,8,10,12}}=>{{1,2,8,9,10,11},{3,4,5,6,7,12}} {{1,2,4,6,9,10},{3,5,7,8,11,12}}=>{{1,2,8,9,11,12},{3,4,5,6,7,10}} {{1,2,4,6,8,11},{3,5,7,9,10,12}}=>{{1,2,10,11},{3,4,5,6,7,8,9,12}} {{1,2,4,6,8,10},{3,5,7,9,11,12}}=>{{1,2,11,12},{3,4,5,6,7,8,9,10}} {{1,2,4,6,8,9},{3,5,7,10,11,12}}=>{{1,2,9},{3,4,5,6,7,8,10,11,12}} {{1,2,4,6,7,11},{3,5,8,9,10,12}}=>{{1,2,7,8,10,11},{3,4,5,6,9,12}} {{1,2,4,6,7,10},{3,5,8,9,11,12}}=>{{1,2,7,8,11,12},{3,4,5,6,9,10}} {{1,2,4,6,7,9},{3,5,8,10,11,12}}=>{{1,2,7,8,9},{3,4,5,6,10,11,12}} {{1,2,4,6,7,8},{3,5,9,10,11,12}}=>{{1,2,7,9,10,11,12},{3,4,5,6,8}} {{1,2,4,5,9,11},{3,6,7,8,10,12}}=>{{1,2,5,6,8,9,10,11},{3,4,7,12}} {{1,2,4,5,9,10},{3,6,7,8,11,12}}=>{{1,2,5,6,8,9,11,12},{3,4,7,10}} {{1,2,4,5,8,11},{3,6,7,9,10,12}}=>{{1,2,5,6,10,11},{3,4,7,8,9,12}} {{1,2,4,5,8,10},{3,6,7,9,11,12}}=>{{1,2,5,6,11,12},{3,4,7,8,9,10}} {{1,2,4,5,8,9},{3,6,7,10,11,12}}=>{{1,2,5,6,9},{3,4,7,8,10,11,12}} {{1,2,4,5,7,11},{3,6,8,9,10,12}}=>{{1,2,5,6,7,8,10,11},{3,4,9,12}} {{1,2,4,5,7,9},{3,6,8,10,11,12}}=>{{1,2,5,6,7,8,9},{3,4,10,11,12}} {{1,2,4,5,7,8},{3,6,9,10,11,12}}=>{{1,2,5,6,7,9,10,11,12},{3,4,8}} {{1,2,4,5,6,11},{3,7,8,9,10,12}}=>{{1,2,5,8,10,11},{3,4,6,7,9,12}} {{1,2,4,5,6,10},{3,7,8,9,11,12}}=>{{1,2,5,8,11,12},{3,4,6,7,9,10}} {{1,2,4,5,6,9},{3,7,8,10,11,12}}=>{{1,2,5,8,9},{3,4,6,7,10,11,12}} {{1,2,4,5,6,8},{3,7,9,10,11,12}}=>{{1,2,5,9,10,11,12},{3,4,6,7,8}} {{1,2,4,5,6,7},{3,8,9,10,11,12}}=>{{1,2,5,7},{3,4,6,8,9,10,11,12}} {{1,2,3,7,9,11},{4,5,6,8,10,12}}=>{{1,2,3,5,12},{4,6,7,8,9,10,11}} {{1,2,3,7,9,10},{4,5,6,8,11,12}}=>{{1,2,3,5,10},{4,6,7,8,9,11,12}} {{1,2,3,7,8,11},{4,5,6,9,10,12}}=>{{1,2,3,5,8,9,12},{4,6,7,10,11}} {{1,2,3,7,8,10},{4,5,6,9,11,12}}=>{{1,2,3,5,8,9,10},{4,6,7,11,12}} {{1,2,3,7,8,9},{4,5,6,10,11,12}}=>{{1,2,3,5,8,10,11,12},{4,6,7,9}} {{1,2,3,6,9,11},{4,5,7,8,10,12}}=>{{1,2,3,5,6,7,12},{4,8,9,10,11}} {{1,2,3,6,9,10},{4,5,7,8,11,12}}=>{{1,2,3,5,6,7,10},{4,8,9,11,12}} {{1,2,3,6,8,11},{4,5,7,9,10,12}}=>{{1,2,3,5,6,7,8,9,12},{4,10,11}} {{1,2,3,6,8,9},{4,5,7,10,11,12}}=>{{1,2,3,5,6,7,8,10,11,12},{4,9}} {{1,2,3,6,7,11},{4,5,8,9,10,12}}=>{{1,2,3,5,6,9,12},{4,7,8,10,11}} {{1,2,3,6,7,10},{4,5,8,9,11,12}}=>{{1,2,3,5,6,9,10},{4,7,8,11,12}} {{1,2,3,6,7,9},{4,5,8,10,11,12}}=>{{1,2,3,5,6,10,11,12},{4,7,8,9}} {{1,2,3,6,7,8},{4,5,9,10,11,12}}=>{{1,2,3,5,6,8},{4,7,9,10,11,12}} {{1,2,3,5,9,11},{4,6,7,8,10,12}}=>{{1,2,3,7,12},{4,5,6,8,9,10,11}} {{1,2,3,5,9,10},{4,6,7,8,11,12}}=>{{1,2,3,7,10},{4,5,6,8,9,11,12}} {{1,2,3,5,8,11},{4,6,7,9,10,12}}=>{{1,2,3,7,8,9,12},{4,5,6,10,11}} {{1,2,3,5,8,10},{4,6,7,9,11,12}}=>{{1,2,3,7,8,9,10},{4,5,6,11,12}} {{1,2,3,5,8,9},{4,6,7,10,11,12}}=>{{1,2,3,7,8,10,11,12},{4,5,6,9}} {{1,2,3,5,7,11},{4,6,8,9,10,12}}=>{{1,2,3,9,12},{4,5,6,7,8,10,11}} {{1,2,3,5,7,10},{4,6,8,9,11,12}}=>{{1,2,3,9,10},{4,5,6,7,8,11,12}} {{1,2,3,5,6,11},{4,7,8,9,10,12}}=>{{1,2,3,6,7,9,12},{4,5,8,10,11}} {{1,2,3,5,6,10},{4,7,8,9,11,12}}=>{{1,2,3,6,7,9,10},{4,5,8,11,12}} {{1,2,3,5,6,8},{4,7,9,10,11,12}}=>{{1,2,3,6,7,8},{4,5,9,10,11,12}} {{1,2,3,5,6,7},{4,8,9,10,11,12}}=>{{1,2,3,6,8,9,10,11,12},{4,5,7}} {{1,2,3,4,9,11},{5,6,7,8,10,12}}=>{{1,2,3,4,6,8,9,10,11},{5,7,12}} {{1,2,3,4,9,10},{5,6,7,8,11,12}}=>{{1,2,3,4,6,8,9,11,12},{5,7,10}} {{1,2,3,4,8,11},{5,6,7,9,10,12}}=>{{1,2,3,4,6,10,11},{5,7,8,9,12}} {{1,2,3,4,8,10},{5,6,7,9,11,12}}=>{{1,2,3,4,6,11,12},{5,7,8,9,10}} {{1,2,3,4,8,9},{5,6,7,10,11,12}}=>{{1,2,3,4,6,9},{5,7,8,10,11,12}} {{1,2,3,4,7,11},{5,6,8,9,10,12}}=>{{1,2,3,4,6,7,8,10,11},{5,9,12}} {{1,2,3,4,7,10},{5,6,8,9,11,12}}=>{{1,2,3,4,6,7,8,11,12},{5,9,10}} {{1,2,3,4,7,9},{5,6,8,10,11,12}}=>{{1,2,3,4,6,7,8,9},{5,10,11,12}} {{1,2,3,4,7,8},{5,6,9,10,11,12}}=>{{1,2,3,4,6,7,9,10,11,12},{5,8}} {{1,2,3,4,6,11},{5,7,8,9,10,12}}=>{{1,2,3,4,8,10,11},{5,6,7,9,12}} {{1,2,3,4,6,10},{5,7,8,9,11,12}}=>{{1,2,3,4,8,11,12},{5,6,7,9,10}} {{1,2,3,4,6,9},{5,7,8,10,11,12}}=>{{1,2,3,4,8,9},{5,6,7,10,11,12}} {{1,2,3,4,6,7},{5,8,9,10,11,12}}=>{{1,2,3,4,7},{5,6,8,9,10,11,12}} {{1,2,3,4,5,11},{6,7,8,9,10,12}}=>{{1,2,3,4,5,7,9,12},{6,8,10,11}} {{1,2,3,4,5,10},{6,7,8,9,11,12}}=>{{1,2,3,4,5,7,9,10},{6,8,11,12}} {{1,2,3,4,5,8},{6,7,9,10,11,12}}=>{{1,2,3,4,5,7,8},{6,9,10,11,12}} {{1,2,3,4,5,7},{6,8,9,10,11,12}}=>{{1,2,3,4,5,8,9,10,11,12},{6,7}}
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The Kasraoui-Zeng involution.
This is defined in [1] and yields the set partition with the number of nestings and crossings exchanged.
References
[1] Kasraoui, A., Zeng, J. Distribution of crossings, nestings and alignments of two edges in matchings and partitions MathSciNet:2212506
Properties
bijective, graded, involutive
Sage code
def mapping(p):
    gamma = {}
    arcs = sorted(p.arcs())
    for i in range(len(arcs)):
        (a,b) = arcs[i]
        active = 0
        for j in range(i):
            if arcs[j][1] > b:
                active += 1
        gamma[b] = 1+active

    O = [a for a,b in arcs]
    active = []
    blocks = []
    for i in range(1, p.size()+1):
        try:
            j = gamma[i]
            # i is a closer or transient
            # (not a singleton)
            active[-j].append(i)
            block = active[-j]
            del active[-j]
        except KeyError:
            block = [i]
        if i in O:
            active.append(block)
        else:
            blocks.append(block)
    return SetPartition(blocks)
Weight
21
Created
Jan 29, 2020 at 13:25 by FindStatCrew
Updated
Jan 29, 2020 at 13:25 by Martin Rubey