Identifier
Mp00164: Set partitions Chen Deng Du Stanley YanSet partitions
Mp00091: Set partitions rotate increasingSet partitions
Mp00112: Set partitions complement Set partitions
Images
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Cc0009;cc-rep-0Cc0009;cc-rep-1Cc0009;cc-rep-2Cc0009;cc-rep-3
{{1}}=>{{1}}=>{{1}}=>{{1}} {{1,2}}=>{{1,2}}=>{{1,2}}=>{{1,2}} {{1},{2}}=>{{1},{2}}=>{{1},{2}}=>{{1},{2}} {{1,2,3}}=>{{1,2,3}}=>{{1,2,3}}=>{{1,2,3}} {{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}}=>{{1,3},{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}} {{1,2,3},{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}}=>{{1,4},{2,3}}=>{{1,4},{2,3}} {{1,2},{3},{4}}=>{{1,2},{3},{4}}=>{{1},{2,3},{4}}=>{{1},{2,3},{4}} {{1,3,4},{2}}=>{{1,3,4},{2}}=>{{1,2,4},{3}}=>{{1,3,4},{2}} {{1,3},{2,4}}=>{{1,4},{2,3}}=>{{1,2},{3,4}}=>{{1,2},{3,4}} {{1,3},{2},{4}}=>{{1,3},{2},{4}}=>{{1},{2,4},{3}}=>{{1,3},{2},{4}} {{1,4},{2,3}}=>{{1,3},{2,4}}=>{{1,3},{2,4}}=>{{1,3},{2,4}} {{1},{2,3,4}}=>{{1},{2,3,4}}=>{{1,3,4},{2}}=>{{1,2,4},{3}} {{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},{3},{4}}=>{{1},{2},{3,4}} {{1},{2,4},{3}}=>{{1},{2,4},{3}}=>{{1,3},{2},{4}}=>{{1},{2,4},{3}} {{1},{2},{3,4}}=>{{1},{2},{3,4}}=>{{1,4},{2},{3}}=>{{1,4},{2},{3}} {{1},{2},{3},{4}}=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}=>{{1},{2},{3},{4}} {{1,2,3,4,5}}=>{{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}}=>{{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}}=>{{1,5},{2,3,4}}=>{{1,5},{2,3,4}} {{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}=>{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}} {{1,2,4,5},{3}}=>{{1,2,4,5},{3}}=>{{1,2,3,5},{4}}=>{{1,3,4,5},{2}} {{1,2,4},{3,5}}=>{{1,2,5},{3,4}}=>{{1,2,3},{4,5}}=>{{1,2},{3,4,5}} {{1,2,4},{3},{5}}=>{{1,2,4},{3},{5}}=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}} {{1,2,5},{3,4}}=>{{1,2,4},{3,5}}=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}} {{1,2},{3,4,5}}=>{{1,2},{3,4,5}}=>{{1,4,5},{2,3}}=>{{1,2,5},{3,4}} {{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}}=>{{1,2},{3,4},{5}} {{1,2,5},{3},{4}}=>{{1,2,5},{3},{4}}=>{{1,2,3},{4},{5}}=>{{1},{2},{3,4,5}} {{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}=>{{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}} {{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}=>{{1,5},{2,3},{4}}=>{{1,5},{2},{3,4}} {{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}=>{{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}} {{1,3,4,5},{2}}=>{{1,3,4,5},{2}}=>{{1,2,4,5},{3}}=>{{1,2,4,5},{3}} {{1,3,4},{2,5}}=>{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}=>{{1,4},{2,3,5}} {{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}=>{{1},{2,4,5},{3}}=>{{1,2,4},{3},{5}} {{1,3,5},{2,4}}=>{{1,5},{2,3,4}}=>{{1,2},{3,4,5}}=>{{1,2,3},{4,5}} {{1,3},{2,4,5}}=>{{1,4,5},{2,3}}=>{{1,2,5},{3,4}}=>{{1,4,5},{2,3}} {{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}}=>{{1,4},{2,3},{5}} {{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}=>{{1,2,4},{3},{5}}=>{{1},{2,4,5},{3}} {{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}=>{{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}} {{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}=>{{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}} {{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}=>{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}} {{1,4,5},{2,3}}=>{{1,3},{2,4,5}}=>{{1,3,5},{2,4}}=>{{1,3,5},{2,4}} {{1,4},{2,3,5}}=>{{1,3,4},{2,5}}=>{{1,3},{2,4,5}}=>{{1,2,4},{3,5}} {{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}}=>{{1,3},{2,4},{5}} {{1,5},{2,3,4}}=>{{1,3,5},{2,4}}=>{{1,2,4},{3,5}}=>{{1,3},{2,4,5}} {{1},{2,3,4,5}}=>{{1},{2,3,4,5}}=>{{1,3,4,5},{2}}=>{{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}} {{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}=>{{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}} {{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}}=>{{1},{2,3,5},{4}} {{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}=>{{1,5},{2},{3,4}}=>{{1,5},{2,3},{4}} {{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}}=>{{1},{2,3},{4},{5}} {{1,4,5},{2},{3}}=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}} {{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}=>{{1,2},{3,5},{4}}=>{{1,3},{2},{4,5}} {{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}=>{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}} {{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}} {{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}=>{{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}} {{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}}=>{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}} {{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}=>{{1,3},{2},{4,5}}=>{{1,2},{3,5},{4}} {{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}=>{{1},{2},{3,5},{4}}=>{{1,3},{2},{4},{5}} {{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}=>{{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}} {{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}=>{{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}} {{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}=>{{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}} {{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}=>{{1},{2},{3},{4,5}}=>{{1,2},{3},{4},{5}} {{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1,2},{3},{4},{5}}=>{{1},{2},{3},{4,5}} {{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}=>{{1,3},{2},{4},{5}}=>{{1},{2},{3,5},{4}} {{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}=>{{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}} {{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}=>{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}} {{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}} {{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}} {{1,2,3,4,5},{6}}=>{{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}}=>{{1,6},{2,3,4,5}}=>{{1,6},{2,3,4,5}} {{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}=>{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}} {{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}=>{{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}} {{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}=>{{1,2,3,4},{5,6}}=>{{1,2},{3,4,5,6}} {{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}} {{1,2,3,6},{4,5}}=>{{1,2,3,5},{4,6}}=>{{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}} {{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}=>{{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}} {{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}=>{{1},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6}} {{1,2,3,6},{4},{5}}=>{{1,2,3,6},{4},{5}}=>{{1,2,3,4},{5},{6}}=>{{1},{2},{3,4,5,6}} {{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}=>{{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}} {{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}=>{{1,6},{2,3,4},{5}}=>{{1,6},{2},{3,4,5}} {{1,2,3},{4},{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}}=>{{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}} {{1,2,4,5},{3,6}}=>{{1,2,5},{3,4,6}}=>{{1,4,5},{2,3,6}}=>{{1,4,5},{2,3,6}} {{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}} {{1,2,4,6},{3,5}}=>{{1,2,6},{3,4,5}}=>{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}} {{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}=>{{1,2,3,6},{4,5}}=>{{1,4,5,6},{2,3}} {{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}=>{{1},{2,3,6},{4,5}}=>{{1,4,5},{2,3},{6}} {{1,2,4,6},{3},{5}}=>{{1,2,4,6},{3},{5}}=>{{1,2,3,5},{4},{6}}=>{{1},{2,4,5,6},{3}} {{1,2,4},{3,6},{5}}=>{{1,2,6},{3,4},{5}}=>{{1,2,3},{4,5},{6}}=>{{1},{2,3},{4,5,6}} {{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}=>{{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}} {{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}=>{{1},{2,3,5},{4},{6}}=>{{1},{2,4,5},{3},{6}} {{1,2,5,6},{3,4}}=>{{1,2,4},{3,5,6}}=>{{1,4,6},{2,3,5}}=>{{1,3,6},{2,4,5}} {{1,2,5},{3,4,6}}=>{{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}}=>{{1,2,4,5},{3,6}} {{1,2,5},{3,4},{6}}=>{{1,2,4},{3,5},{6}}=>{{1},{2,3,5},{4,6}}=>{{1,3},{2,4,5},{6}} {{1,2,6},{3,4,5}}=>{{1,2,4,6},{3,5}}=>{{1,2,3,5},{4,6}}=>{{1,3},{2,4,5,6}} {{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}=>{{1,4,5,6},{2,3}}=>{{1,2,3,6},{4,5}} {{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}=>{{1},{2,3},{4,5,6}}=>{{1,2,3},{4,5},{6}} {{1,2,6},{3,4},{5}}=>{{1,2,4},{3,6},{5}}=>{{1,4},{2,3,5},{6}}=>{{1},{2,4,5},{3,6}} {{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}=>{{1,4,5},{2,3},{6}}=>{{1},{2,3,6},{4,5}} {{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}=>{{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}} {{1,2},{3,4},{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}}=>{{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}} {{1,2,5},{3,6},{4}}=>{{1,2,6},{3,5},{4}}=>{{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,5,6}} {{1,2,5},{3},{4,6}}=>{{1,2,6},{3},{4,5}}=>{{1,2,3},{4},{5,6}}=>{{1,2},{3},{4,5,6}} {{1,2,5},{3},{4},{6}}=>{{1,2,5},{3},{4},{6}}=>{{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}} {{1,2,6},{3,5},{4}}=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,3,6},{5}}=>{{1,4,5},{2},{3,6}} {{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}=>{{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}} {{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}}=>{{1,2},{3,6},{4,5}} {{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}=>{{1},{2,3},{4,6},{5}}=>{{1,3},{2},{4,5},{6}} {{1,2,6},{3},{4,5}}=>{{1,2,5},{3},{4,6}}=>{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}} {{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}} {{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3},{4,5}} {{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5,6}}=>{{1,2},{3},{4,5},{6}} {{1,2,6},{3},{4},{5}}=>{{1,2,6},{3},{4},{5}}=>{{1,2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5,6}} {{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2,3},{5},{6}}=>{{1},{2},{3,6},{4,5}} {{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3},{4,5}} {{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}} {{1,2},{3},{4},{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}}=>{{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}} {{1,3,4,5},{2,6}}=>{{1,4,6},{2,3,5}}=>{{1,2,5},{3,4,6}}=>{{1,3,4},{2,5,6}} {{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}=>{{1},{2,4,5,6},{3}}=>{{1,2,3,5},{4},{6}} {{1,3,4,6},{2,5}}=>{{1,4,5},{2,3,6}}=>{{1,3,4},{2,5,6}}=>{{1,2,5},{3,4,6}} {{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},{2,5},{6}}=>{{1,4},{2,3,5},{6}}=>{{1},{2,5},{3,4,6}}=>{{1,3,4},{2,5},{6}} {{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}=>{{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}} {{1,3,4},{2,6},{5}}=>{{1,4},{2,3,6},{5}}=>{{1,3,4},{2,5},{6}}=>{{1},{2,5},{3,4,6}} {{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}=>{{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}} {{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}=>{{1},{2,4,5},{3},{6}}=>{{1},{2,3,5},{4},{6}} {{1,3,5,6},{2,4}}=>{{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}}=>{{1,5,6},{2,3,4}} {{1,3,5},{2,4,6}}=>{{1,6},{2,3,4,5}}=>{{1,2},{3,4,5,6}}=>{{1,2,3,4},{5,6}} {{1,3,5},{2,4},{6}}=>{{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}}=>{{1,5},{2,3,4},{6}} {{1,3,6},{2,4,5}}=>{{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}}=>{{1,5},{2,3,4,6}} {{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}=>{{1,2,5,6},{3,4}}=>{{1,2,5,6},{3,4}} {{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}=>{{1},{2,5,6},{3,4}}=>{{1,2,5},{3,4},{6}} {{1,3,6},{2,4},{5}}=>{{1,6},{2,3,4},{5}}=>{{1,2},{3,4,5},{6}}=>{{1},{2,3,4},{5,6}} {{1,3},{2,4,6},{5}}=>{{1,4,6},{2,3},{5}}=>{{1,2,5},{3,4},{6}}=>{{1},{2,5,6},{3,4}} {{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}=>{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}} {{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}=>{{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}} {{1,3,5,6},{2},{4}}=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}} {{1,3,5},{2,6},{4}}=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>{{1,5},{2},{3,4,6}} {{1,3,5},{2},{4,6}}=>{{1,3,6},{2},{4,5}}=>{{1,2,4},{3},{5,6}}=>{{1,2},{3,5,6},{4}} {{1,3,5},{2},{4},{6}}=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}} {{1,3,6},{2,5},{4}}=>{{1,6},{2,3,5},{4}}=>{{1,2},{3,4,6},{5}}=>{{1,3,4},{2},{5,6}} {{1,3},{2,5,6},{4}}=>{{1,5,6},{2,3},{4}}=>{{1,2,6},{3,4},{5}}=>{{1,5,6},{2},{3,4}} {{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}=>{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}} {{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3,4},{5}}=>{{1,5},{2},{3,4},{6}} {{1,3,6},{2},{4,5}}=>{{1,3,5},{2},{4,6}}=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}} {{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}} {{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}} {{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}=>{{1},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6}} {{1,3,6},{2},{4},{5}}=>{{1,3,6},{2},{4},{5}}=>{{1,2,4},{3},{5},{6}}=>{{1},{2},{3,5,6},{4}} {{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}=>{{1,2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5,6}} {{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}} {{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}=>{{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}} {{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}} {{1,4,5,6},{2,3}}=>{{1,3},{2,4,5,6}}=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}} {{1,4,5},{2,3,6}}=>{{1,3,4,6},{2,5}}=>{{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}} {{1,4,5},{2,3},{6}}=>{{1,3},{2,4,5},{6}}=>{{1},{2,4},{3,5,6}}=>{{1,2,4},{3,5},{6}} {{1,4,6},{2,3,5}}=>{{1,3,4,5},{2,6}}=>{{1,3},{2,4,5,6}}=>{{1,2,3,5},{4,6}} {{1,4},{2,3,5,6}}=>{{1,3,4},{2,5,6}}=>{{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}} {{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}=>{{1},{2,4,5},{3,6}}=>{{1,4},{2,3,5},{6}} {{1,4,6},{2,3},{5}}=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}} {{1,4},{2,3,6},{5}}=>{{1,3,4},{2,6},{5}}=>{{1,3},{2,4,5},{6}}=>{{1},{2,3,5},{4,6}} {{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}=>{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}} {{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}} {{1,5,6},{2,3,4}}=>{{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}}=>{{1,3,5,6},{2,4}} {{1,5},{2,3,4,6}}=>{{1,3,6},{2,4,5}}=>{{1,2,4},{3,5,6}}=>{{1,2,4},{3,5,6}} {{1,5},{2,3,4},{6}}=>{{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2,4},{6}} {{1,6},{2,3,4,5}}=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}} {{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}=>{{1,3,4,5,6},{2}}=>{{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}} {{1,6},{2,3,4},{5}}=>{{1,3,6},{2,4},{5}}=>{{1,2,4},{3,5},{6}}=>{{1},{2,4},{3,5,6}} {{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}}=>{{1},{2,3,4,6},{5}} {{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}=>{{1,6},{2},{3,4,5}}=>{{1,6},{2,3,4},{5}} {{1},{2,3,4},{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}}=>{{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}} {{1,5},{2,3,6},{4}}=>{{1,3,5},{2,6},{4}}=>{{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}} {{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,3},{2,4},{5,6}}=>{{1,2},{3,5},{4,6}} {{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}} {{1,6},{2,3,5},{4}}=>{{1,3,6},{2,5},{4}}=>{{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}} {{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}=>{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}} {{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}=>{{1,3,4},{2},{5,6}}=>{{1,2},{3,4,6},{5}} {{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}=>{{1},{2},{3,4,6},{5}}=>{{1,3,4},{2},{5},{6}} {{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}} {{1},{2,3,6},{4,5}}=>{{1},{2,3,5},{4,6}}=>{{1,5},{2},{3,4,6}}=>{{1,3,4},{2,6},{5}} {{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3,4},{5}} {{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}=>{{1},{2},{3,4},{5,6}}=>{{1,2},{3,4},{5},{6}} {{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}=>{{1,3},{2,4},{5},{6}}=>{{1},{2},{3,5},{4,6}} {{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}=>{{1,3,4},{2},{5},{6}}=>{{1},{2},{3,4,6},{5}} {{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3,4},{5}} {{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}=>{{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}} {{1},{2,3},{4},{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}}=>{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}} {{1,4,5},{2,6},{3}}=>{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}} {{1,4,5},{2},{3,6}}=>{{1,5},{2},{3,4,6}}=>{{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}} {{1,4,5},{2},{3},{6}}=>{{1,4,5},{2},{3},{6}}=>{{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}} {{1,4,6},{2,5},{3}}=>{{1,6},{2,4,5},{3}}=>{{1,2},{3,5,6},{4}}=>{{1,2,4},{3},{5,6}} {{1,4},{2,5,6},{3}}=>{{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}} {{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}=>{{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}} {{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}} {{1,4,6},{2},{3,5}}=>{{1,6},{2},{3,4,5}}=>{{1,2},{3},{4,5,6}}=>{{1,2,3},{4},{5,6}} {{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}} {{1,4},{2},{3,5,6}}=>{{1,5,6},{2},{3,4}}=>{{1,2,6},{3},{4,5}}=>{{1,5,6},{2,3},{4}} {{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3},{4,5}}=>{{1,5},{2,3},{4},{6}} {{1,4,6},{2},{3},{5}}=>{{1,4,6},{2},{3},{5}}=>{{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}} {{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}=>{{1,2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5,6}} {{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1,2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5,6}} {{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}=>{{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}} {{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}} {{1,5,6},{2,4},{3}}=>{{1,4},{2,5,6},{3}}=>{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}} {{1,5},{2,4,6},{3}}=>{{1,4,5},{2,6},{3}}=>{{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}} {{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}} {{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}} {{1,6},{2,4,5},{3}}=>{{1,4,6},{2,5},{3}}=>{{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}} {{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}=>{{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}} {{1},{2,4,5},{3,6}}=>{{1},{2,5},{3,4,6}}=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,3,6},{5}} {{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}=>{{1},{2},{3,5,6},{4}}=>{{1,2,4},{3},{5},{6}} {{1,6},{2,4},{3,5}}=>{{1,5},{2,6},{3,4}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}} {{1},{2,4,6},{3,5}}=>{{1},{2,6},{3,4,5}}=>{{1,3},{2},{4,5,6}}=>{{1,2,3},{4,6},{5}} {{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}=>{{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}} {{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}=>{{1},{2},{3,6},{4,5}}=>{{1,4},{2,3},{5},{6}} {{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}=>{{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}} {{1},{2,4,6},{3},{5}}=>{{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}} {{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}=>{{1,3},{2},{4,5},{6}}=>{{1},{2,3},{4,6},{5}} {{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}=>{{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}} {{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5},{6}} {{1,5,6},{2},{3,4}}=>{{1,4},{2},{3,5,6}}=>{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}} {{1,5},{2,6},{3,4}}=>{{1,6},{2,4},{3,5}}=>{{1,2},{3,5},{4,6}}=>{{1,3},{2,4},{5,6}} {{1,5},{2},{3,4,6}}=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}} {{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}=>{{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}} {{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}} {{1},{2,5,6},{3,4}}=>{{1},{2,4},{3,5,6}}=>{{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}} {{1},{2,5},{3,4,6}}=>{{1},{2,4,5},{3,6}}=>{{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}} {{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1},{2},{3,5},{4,6}}=>{{1,3},{2,4},{5},{6}} {{1,6},{2},{3,4,5}}=>{{1,4,6},{2},{3,5}}=>{{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}} {{1},{2,6},{3,4,5}}=>{{1},{2,4,6},{3,5}}=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}} {{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}=>{{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}} {{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}=>{{1},{2},{3},{4,5,6}}=>{{1,2,3},{4},{5},{6}} {{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}} {{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}} {{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}=>{{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}} {{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}=>{{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}} {{1},{2},{3,4},{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}}=>{{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}} {{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}} {{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}=>{{1,2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,6}} {{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}=>{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}} {{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}} {{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}} {{1},{2,5,6},{3},{4}}=>{{1},{2,5,6},{3},{4}}=>{{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}} {{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}=>{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}} {{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}=>{{1,3},{2},{4},{5,6}}=>{{1,2},{3},{4,6},{5}} {{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}} {{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}} {{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}} {{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}=>{{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}} {{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}=>{{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}} {{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5},{6}} {{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}=>{{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}} {{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}=>{{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}} {{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}} {{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}=>{{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}} {{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6}} {{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1,2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5,6}} {{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}=>{{1,3},{2},{4},{5},{6}}=>{{1},{2},{3},{4,6},{5}} {{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}} {{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}=>{{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}} {{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}} {{1},{2},{3},{4},{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}} {{1,2,3,4,5,6},{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}}=>{{1,7},{2,3,4,5,6}}=>{{1,7},{2,3,4,5,6}} {{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}=>{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}} {{1,2,3,4,6,7},{5}}=>{{1,2,3,4,6,7},{5}}=>{{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}} {{1,2,3,4,6},{5,7}}=>{{1,2,3,4,7},{5,6}}=>{{1,2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6,7}} {{1,2,3,4,6},{5},{7}}=>{{1,2,3,4,6},{5},{7}}=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}} {{1,2,3,4,7},{5,6}}=>{{1,2,3,4,6},{5,7}}=>{{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}} {{1,2,3,4},{5,6,7}}=>{{1,2,3,4},{5,6,7}}=>{{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}} {{1,2,3,4},{5,6},{7}}=>{{1,2,3,4},{5,6},{7}}=>{{1},{2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6},{7}} {{1,2,3,4,7},{5},{6}}=>{{1,2,3,4,7},{5},{6}}=>{{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}} {{1,2,3,4},{5,7},{6}}=>{{1,2,3,4},{5,7},{6}}=>{{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}} {{1,2,3,4},{5},{6,7}}=>{{1,2,3,4},{5},{6,7}}=>{{1,7},{2,3,4,5},{6}}=>{{1,7},{2},{3,4,5,6}} {{1,2,3,4},{5},{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}}=>{{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}} {{1,2,3,5,6},{4,7}}=>{{1,2,3,6},{4,5,7}}=>{{1,5,6},{2,3,4,7}}=>{{1,4,5,6},{2,3,7}} {{1,2,3,5,6},{4},{7}}=>{{1,2,3,5,6},{4},{7}}=>{{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}} {{1,2,3,5,7},{4,6}}=>{{1,2,3,7},{4,5,6}}=>{{1,2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6,7}} {{1,2,3,5},{4,6,7}}=>{{1,2,3,6,7},{4,5}}=>{{1,2,3,4,7},{5,6}}=>{{1,4,5,6,7},{2,3}} {{1,2,3,5},{4,6},{7}}=>{{1,2,3,6},{4,5},{7}}=>{{1},{2,3,4,7},{5,6}}=>{{1,4,5,6},{2,3},{7}} {{1,2,3,5,7},{4},{6}}=>{{1,2,3,5,7},{4},{6}}=>{{1,2,3,4,6},{5},{7}}=>{{1},{2,4,5,6,7},{3}} {{1,2,3,5},{4,7},{6}}=>{{1,2,3,7},{4,5},{6}}=>{{1,2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6,7}} {{1,2,3,5},{4},{6,7}}=>{{1,2,3,5},{4},{6,7}}=>{{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}} {{1,2,3,5},{4},{6},{7}}=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2,4,5,6},{3},{7}} {{1,2,3,6,7},{4,5}}=>{{1,2,3,5},{4,6,7}}=>{{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}} {{1,2,3,6},{4,5,7}}=>{{1,2,3,5,6},{4,7}}=>{{1,5},{2,3,4,6,7}}=>{{1,2,4,5,6},{3,7}} {{1,2,3,6},{4,5},{7}}=>{{1,2,3,5},{4,6},{7}}=>{{1},{2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6},{7}} {{1,2,3,7},{4,5,6}}=>{{1,2,3,5,7},{4,6}}=>{{1,2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6,7}} {{1,2,3},{4,5,6,7}}=>{{1,2,3},{4,5,6,7}}=>{{1,5,6,7},{2,3,4}}=>{{1,2,3,7},{4,5,6}} {{1,2,3},{4,5,6},{7}}=>{{1,2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6},{7}} {{1,2,3,7},{4,5},{6}}=>{{1,2,3,5},{4,7},{6}}=>{{1,5},{2,3,4,6},{7}}=>{{1},{2,4,5,6},{3,7}} {{1,2,3},{4,5,7},{6}}=>{{1,2,3},{4,5,7},{6}}=>{{1,5,6},{2,3,4},{7}}=>{{1},{2,3,7},{4,5,6}} {{1,2,3},{4,5},{6,7}}=>{{1,2,3},{4,5},{6,7}}=>{{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3},{4,5,6}} {{1,2,3},{4,5},{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}}=>{{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}} {{1,2,3,6},{4,7},{5}}=>{{1,2,3,7},{4,6},{5}}=>{{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}} {{1,2,3,6},{4},{5,7}}=>{{1,2,3,7},{4},{5,6}}=>{{1,2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6,7}} {{1,2,3,6},{4},{5},{7}}=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}} {{1,2,3,7},{4,6},{5}}=>{{1,2,3,6},{4,7},{5}}=>{{1,5},{2,3,4,7},{6}}=>{{1,4,5,6},{2},{3,7}} {{1,2,3},{4,6,7},{5}}=>{{1,2,3},{4,6,7},{5}}=>{{1,5,7},{2,3,4},{6}}=>{{1,3,7},{2},{4,5,6}} {{1,2,3},{4,6},{5,7}}=>{{1,2,3},{4,7},{5,6}}=>{{1,5},{2,3,4},{6,7}}=>{{1,2},{3,7},{4,5,6}} {{1,2,3},{4,6},{5},{7}}=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6},{7}} {{1,2,3,7},{4},{5,6}}=>{{1,2,3,6},{4},{5,7}}=>{{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}} {{1,2,3},{4,7},{5,6}}=>{{1,2,3},{4,6},{5,7}}=>{{1,6},{2,3,4},{5,7}}=>{{1,3},{2,7},{4,5,6}} {{1,2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}}=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3},{4,5,6}} {{1,2,3},{4},{5,6},{7}}=>{{1,2,3},{4},{5,6},{7}}=>{{1},{2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6},{7}} {{1,2,3,7},{4},{5},{6}}=>{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6,7}} {{1,2,3},{4,7},{5},{6}}=>{{1,2,3},{4,7},{5},{6}}=>{{1,5},{2,3,4},{6},{7}}=>{{1},{2},{3,7},{4,5,6}} {{1,2,3},{4},{5,7},{6}}=>{{1,2,3},{4},{5,7},{6}}=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3},{4,5,6}} {{1,2,3},{4},{5},{6,7}}=>{{1,2,3},{4},{5},{6,7}}=>{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}} {{1,2,3},{4},{5},{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}}=>{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}} {{1,2,4,5,6},{3,7}}=>{{1,2,5,7},{3,4,6}}=>{{1,2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6,7}} {{1,2,4,5,6},{3},{7}}=>{{1,2,4,5,6},{3},{7}}=>{{1},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}} {{1,2,4,5,7},{3,6}}=>{{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}}=>{{1,2,5,6},{3,4,7}} {{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}}=>{{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}} {{1,2,4,5},{3,6},{7}}=>{{1,2,5},{3,4,6},{7}}=>{{1},{2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6},{7}} {{1,2,4,5,7},{3},{6}}=>{{1,2,4,5,7},{3},{6}}=>{{1,2,3,5,6},{4},{7}}=>{{1},{2,3,5,6,7},{4}} {{1,2,4,5},{3,7},{6}}=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}} {{1,2,4,5},{3},{6,7}}=>{{1,2,4,5},{3},{6,7}}=>{{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}} {{1,2,4,5},{3},{6},{7}}=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}} {{1,2,4,6,7},{3,5}}=>{{1,2,6,7},{3,4,5}}=>{{1,2,3,7},{4,5,6}}=>{{1,5,6,7},{2,3,4}} {{1,2,4,6},{3,5,7}}=>{{1,2,7},{3,4,5,6}}=>{{1,2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6,7}} {{1,2,4,6},{3,5},{7}}=>{{1,2,6},{3,4,5},{7}}=>{{1},{2,3,7},{4,5,6}}=>{{1,5,6},{2,3,4},{7}} {{1,2,4,7},{3,5,6}}=>{{1,2,6},{3,4,5,7}}=>{{1,4,5,6},{2,3,7}}=>{{1,5,6},{2,3,4,7}} {{1,2,4},{3,5,6,7}}=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{3,4}} {{1,2,4},{3,5,6},{7}}=>{{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}}=>{{1,2,5,6},{3,4},{7}} {{1,2,4,7},{3,5},{6}}=>{{1,2,7},{3,4,5},{6}}=>{{1,2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6,7}} {{1,2,4},{3,5,7},{6}}=>{{1,2,5,7},{3,4},{6}}=>{{1,2,3,6},{4,5},{7}}=>{{1},{2,5,6,7},{3,4}} {{1,2,4},{3,5},{6,7}}=>{{1,2,5},{3,4},{6,7}}=>{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}} {{1,2,4},{3,5},{6},{7}}=>{{1,2,5},{3,4},{6},{7}}=>{{1},{2,3,6},{4,5},{7}}=>{{1},{2,5,6},{3,4},{7}} {{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}=>{{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}} {{1,2,4,6},{3,7},{5}}=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,3,7},{6}}=>{{1,5,6},{2},{3,4,7}} {{1,2,4,6},{3},{5,7}}=>{{1,2,4,7},{3},{5,6}}=>{{1,2,3,5},{4},{6,7}}=>{{1,2},{3,5,6,7},{4}} {{1,2,4,6},{3},{5},{7}}=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}} {{1,2,4,7},{3,6},{5}}=>{{1,2,7},{3,4,6},{5}}=>{{1,2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6,7}} {{1,2,4},{3,6,7},{5}}=>{{1,2,6,7},{3,4},{5}}=>{{1,2,3,7},{4,5},{6}}=>{{1,5,6,7},{2},{3,4}} {{1,2,4},{3,6},{5,7}}=>{{1,2,7},{3,4},{5,6}}=>{{1,2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6,7}} {{1,2,4},{3,6},{5},{7}}=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,3,7},{4,5},{6}}=>{{1,5,6},{2},{3,4},{7}} {{1,2,4,7},{3},{5,6}}=>{{1,2,4,6},{3},{5,7}}=>{{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}} {{1,2,4},{3,7},{5,6}}=>{{1,2,6},{3,4},{5,7}}=>{{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}} {{1,2,4},{3},{5,6,7}}=>{{1,2,4},{3},{5,6,7}}=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}} {{1,2,4},{3},{5,6},{7}}=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3,5},{4},{6,7}}=>{{1,2},{3,5,6},{4},{7}} {{1,2,4,7},{3},{5},{6}}=>{{1,2,4,7},{3},{5},{6}}=>{{1,2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6,7},{4}} {{1,2,4},{3,7},{5},{6}}=>{{1,2,7},{3,4},{5},{6}}=>{{1,2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6,7}} {{1,2,4},{3},{5,7},{6}}=>{{1,2,4},{3},{5,7},{6}}=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}} {{1,2,4},{3},{5},{6,7}}=>{{1,2,4},{3},{5},{6,7}}=>{{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}} {{1,2,4},{3},{5},{6},{7}}=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}} {{1,2,5,6,7},{3,4}}=>{{1,2,4},{3,5,6,7}}=>{{1,4,6,7},{2,3,5}}=>{{1,2,4,7},{3,5,6}} {{1,2,5,6},{3,4,7}}=>{{1,2,4,5,7},{3,6}}=>{{1,2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6,7}} {{1,2,5,6},{3,4},{7}}=>{{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6},{7}} {{1,2,5,7},{3,4,6}}=>{{1,2,4,5,6},{3,7}}=>{{1,4},{2,3,5,6,7}}=>{{1,2,3,5,6},{4,7}} {{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}}=>{{1,4,7},{2,3,5,6}}=>{{1,4,7},{2,3,5,6}} {{1,2,5},{3,4,6},{7}}=>{{1,2,4,5},{3,6},{7}}=>{{1},{2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6},{7}} {{1,2,5,7},{3,4},{6}}=>{{1,2,4},{3,5,7},{6}}=>{{1,4,6},{2,3,5},{7}}=>{{1},{2,4,7},{3,5,6}} {{1,2,5},{3,4,7},{6}}=>{{1,2,4,5},{3,7},{6}}=>{{1,4},{2,3,5,6},{7}}=>{{1},{2,3,5,6},{4,7}} {{1,2,5},{3,4},{6,7}}=>{{1,2,4},{3,5},{6,7}}=>{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}} {{1,2,5},{3,4},{6},{7}}=>{{1,2,4},{3,5},{6},{7}}=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6},{7}} {{1,2,6,7},{3,4,5}}=>{{1,2,4,6,7},{3,5}}=>{{1,2,3,5,7},{4,6}}=>{{1,3,5,6,7},{2,4}} {{1,2,6},{3,4,5,7}}=>{{1,2,4,7},{3,5,6}}=>{{1,2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6,7}} {{1,2,6},{3,4,5},{7}}=>{{1,2,4,6},{3,5},{7}}=>{{1},{2,3,5,7},{4,6}}=>{{1,3,5,6},{2,4},{7}} {{1,2,7},{3,4,5,6}}=>{{1,2,4,6},{3,5,7}}=>{{1,4,6},{2,3,5,7}}=>{{1,3,5,6},{2,4,7}} {{1,2},{3,4,5,6,7}}=>{{1,2},{3,4,5,6,7}}=>{{1,4,5,6,7},{2,3}}=>{{1,2,3,4,7},{5,6}} {{1,2},{3,4,5,6},{7}}=>{{1,2},{3,4,5,6},{7}}=>{{1},{2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6},{7}} {{1,2,7},{3,4,5},{6}}=>{{1,2,4,7},{3,5},{6}}=>{{1,2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6,7}} {{1,2},{3,4,5,7},{6}}=>{{1,2},{3,4,5,7},{6}}=>{{1,4,5,6},{2,3},{7}}=>{{1},{2,3,4,7},{5,6}} {{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}}=>{{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3,4},{5,6}} {{1,2},{3,4,5},{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}}=>{{1,4,7},{2,3,5},{6}}=>{{1,4,7},{2},{3,5,6}} {{1,2,6},{3,4,7},{5}}=>{{1,2,4,6},{3,7},{5}}=>{{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}} {{1,2,6},{3,4},{5,7}}=>{{1,2,4},{3,7},{5,6}}=>{{1,4},{2,3,5},{6,7}}=>{{1,2},{3,5,6},{4,7}} {{1,2,6},{3,4},{5},{7}}=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}} {{1,2,7},{3,4,6},{5}}=>{{1,2,4,7},{3,6},{5}}=>{{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}} {{1,2},{3,4,6,7},{5}}=>{{1,2},{3,4,6,7},{5}}=>{{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}} {{1,2},{3,4,6},{5,7}}=>{{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}}=>{{1,2},{3,4,7},{5,6}} {{1,2},{3,4,6},{5},{7}}=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6},{7}} {{1,2,7},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7}}=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}} {{1,2},{3,4,7},{5,6}}=>{{1,2},{3,4,6},{5,7}}=>{{1,6},{2,3},{4,5,7}}=>{{1,3,4},{2,7},{5,6}} {{1,2},{3,4},{5,6,7}}=>{{1,2},{3,4},{5,6,7}}=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}} {{1,2},{3,4},{5,6},{7}}=>{{1,2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7}} {{1,2,7},{3,4},{5},{6}}=>{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2,3,5},{6},{7}}=>{{1},{2},{3,5,6},{4,7}} {{1,2},{3,4,7},{5},{6}}=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2,3},{6},{7}}=>{{1},{2},{3,4,7},{5,6}} {{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}} {{1,2},{3,4},{5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}=>{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}} {{1,2},{3,4},{5},{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}}=>{{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}} {{1,2,5,6},{3,7},{4}}=>{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}} {{1,2,5,6},{3},{4,7}}=>{{1,2,6},{3},{4,5,7}}=>{{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}} {{1,2,5,6},{3},{4},{7}}=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}} {{1,2,5,7},{3,6},{4}}=>{{1,2,7},{3,5,6},{4}}=>{{1,2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6,7}} {{1,2,5},{3,6,7},{4}}=>{{1,2,6,7},{3,5},{4}}=>{{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}} {{1,2,5},{3,6},{4,7}}=>{{1,2,7},{3,6},{4,5}}=>{{1,2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6,7}} {{1,2,5},{3,6},{4},{7}}=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}} {{1,2,5,7},{3},{4,6}}=>{{1,2,7},{3},{4,5,6}}=>{{1,2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}} {{1,2,5},{3,7},{4,6}}=>{{1,2,6},{3,5},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}} {{1,2,5},{3},{4,6,7}}=>{{1,2,6,7},{3},{4,5}}=>{{1,2,3,7},{4},{5,6}}=>{{1,5,6,7},{2,3},{4}} {{1,2,5},{3},{4,6},{7}}=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,3,7},{4},{5,6}}=>{{1,5,6},{2,3},{4},{7}} {{1,2,5,7},{3},{4},{6}}=>{{1,2,5,7},{3},{4},{6}}=>{{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}} {{1,2,5},{3,7},{4},{6}}=>{{1,2,7},{3,5},{4},{6}}=>{{1,2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6,7}} {{1,2,5},{3},{4,7},{6}}=>{{1,2,7},{3},{4,5},{6}}=>{{1,2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6,7}} {{1,2,5},{3},{4},{6,7}}=>{{1,2,5},{3},{4},{6,7}}=>{{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}} {{1,2,5},{3},{4},{6},{7}}=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}} {{1,2,6,7},{3,5},{4}}=>{{1,2,5},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}} {{1,2,6},{3,5,7},{4}}=>{{1,2,5,6},{3,7},{4}}=>{{1,4},{2,3,6,7},{5}}=>{{1,2,5,6},{3},{4,7}} {{1,2,6},{3,5},{4,7}}=>{{1,2,5},{3,7},{4,6}}=>{{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5,6},{4,7}} {{1,2,6},{3,5},{4},{7}}=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}} {{1,2,7},{3,5,6},{4}}=>{{1,2,5,7},{3,6},{4}}=>{{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}} {{1,2},{3,5,6,7},{4}}=>{{1,2},{3,5,6,7},{4}}=>{{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}} {{1,2},{3,5,6},{4,7}}=>{{1,2},{3,6},{4,5,7}}=>{{1,5,6},{2,3},{4,7}}=>{{1,4},{2,3,7},{5,6}} {{1,2},{3,5,6},{4},{7}}=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6},{7}} {{1,2,7},{3,5},{4,6}}=>{{1,2,6},{3,7},{4,5}}=>{{1,4},{2,3,7},{5,6}}=>{{1,5,6},{2,3},{4,7}} {{1,2},{3,5,7},{4,6}}=>{{1,2},{3,7},{4,5,6}}=>{{1,4},{2,3},{5,6,7}}=>{{1,2,3},{4,7},{5,6}} {{1,2},{3,5},{4,6,7}}=>{{1,2},{3,6,7},{4,5}}=>{{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}} {{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}=>{{1},{2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6},{7}} {{1,2,7},{3,5},{4},{6}}=>{{1,2,5},{3,7},{4},{6}}=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5,6},{3},{4,7}} {{1,2},{3,5,7},{4},{6}}=>{{1,2},{3,5,7},{4},{6}}=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,4,7},{3},{5,6}} {{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}=>{{1,4},{2,3},{5,6},{7}}=>{{1},{2,3},{4,7},{5,6}} {{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}=>{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}} {{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6},{7}} {{1,2,6,7},{3},{4,5}}=>{{1,2,5},{3},{4,6,7}}=>{{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}} {{1,2,6},{3,7},{4,5}}=>{{1,2,7},{3,5},{4,6}}=>{{1,2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6,7}} {{1,2,6},{3},{4,5,7}}=>{{1,2,5,6},{3},{4,7}}=>{{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}} {{1,2,6},{3},{4,5},{7}}=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}} {{1,2,7},{3,6},{4,5}}=>{{1,2,5},{3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}} {{1,2},{3,6,7},{4,5}}=>{{1,2},{3,5},{4,6,7}}=>{{1,5,7},{2,3},{4,6}}=>{{1,3,7},{2,4},{5,6}} {{1,2},{3,6},{4,5,7}}=>{{1,2},{3,5,6},{4,7}}=>{{1,5},{2,3},{4,6,7}}=>{{1,2,4},{3,7},{5,6}} {{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1},{2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6},{7}} {{1,2,7},{3},{4,5,6}}=>{{1,2,5,7},{3},{4,6}}=>{{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}} {{1,2},{3,7},{4,5,6}}=>{{1,2},{3,5,7},{4,6}}=>{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}} {{1,2},{3},{4,5,6,7}}=>{{1,2},{3},{4,5,6,7}}=>{{1,5,6,7},{2,3},{4}}=>{{1,2,3,7},{4},{5,6}} {{1,2},{3},{4,5,6},{7}}=>{{1,2},{3},{4,5,6},{7}}=>{{1},{2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6},{7}} {{1,2,7},{3},{4,5},{6}}=>{{1,2,5},{3},{4,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}} {{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,4},{3,7},{5,6}} {{1,2},{3},{4,5,7},{6}}=>{{1,2},{3},{4,5,7},{6}}=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,3,7},{4},{5,6}} {{1,2},{3},{4,5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}=>{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}} {{1,2},{3},{4,5},{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}}=>{{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}} {{1,2,6},{3,7},{4},{5}}=>{{1,2,7},{3,6},{4},{5}}=>{{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}} {{1,2,6},{3},{4,7},{5}}=>{{1,2,7},{3},{4,6},{5}}=>{{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6,7}} {{1,2,6},{3},{4},{5,7}}=>{{1,2,7},{3},{4},{5,6}}=>{{1,2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6,7}} {{1,2,6},{3},{4},{5},{7}}=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}} {{1,2,7},{3,6},{4},{5}}=>{{1,2,6},{3,7},{4},{5}}=>{{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}} {{1,2},{3,6,7},{4},{5}}=>{{1,2},{3,6,7},{4},{5}}=>{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}} {{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}} {{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}=>{{1,4},{2,3},{5},{6,7}}=>{{1,2},{3},{4,7},{5,6}} {{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}} {{1,2,7},{3},{4,6},{5}}=>{{1,2,6},{3},{4,7},{5}}=>{{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}} {{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}} {{1,2},{3},{4,6,7},{5}}=>{{1,2},{3},{4,6,7},{5}}=>{{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}} {{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}=>{{1,5},{2,3},{4},{6,7}}=>{{1,2},{3,7},{4},{5,6}} {{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6},{7}} {{1,2,7},{3},{4},{5,6}}=>{{1,2,6},{3},{4},{5,7}}=>{{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}} {{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}} {{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}} {{1,2},{3},{4},{5,6,7}}=>{{1,2},{3},{4},{5,6,7}}=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}} {{1,2},{3},{4},{5,6},{7}}=>{{1,2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6},{7}} {{1,2,7},{3},{4},{5},{6}}=>{{1,2,7},{3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6,7}} {{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5,6}} {{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5,6}} {{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}} {{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}} {{1,2},{3},{4},{5},{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}}=>{{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}} {{1,3,4,5,6},{2,7}}=>{{1,4,6},{2,3,5,7}}=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}} {{1,3,4,5,6},{2},{7}}=>{{1,3,4,5,6},{2},{7}}=>{{1},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{5},{7}} {{1,3,4,5,7},{2,6}}=>{{1,4,7},{2,3,5,6}}=>{{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}} {{1,3,4,5},{2,6,7}}=>{{1,4,6,7},{2,3,5}}=>{{1,2,5,7},{3,4,6}}=>{{1,3,6,7},{2,4,5}} {{1,3,4,5},{2,6},{7}}=>{{1,4,6},{2,3,5},{7}}=>{{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2,4,5},{7}} {{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}=>{{1,2,4,5,6},{3},{7}}=>{{1},{2,3,4,6,7},{5}} {{1,3,4,5},{2,7},{6}}=>{{1,4,7},{2,3,5},{6}}=>{{1,2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6,7}} {{1,3,4,5},{2},{6,7}}=>{{1,3,4,5},{2},{6,7}}=>{{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}} {{1,3,4,5},{2},{6},{7}}=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2,3,4,6},{5},{7}} {{1,3,4,6,7},{2,5}}=>{{1,4,5},{2,3,6,7}}=>{{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}} {{1,3,4,6},{2,5,7}}=>{{1,4,5,6},{2,3,7}}=>{{1,3,4},{2,5,6,7}}=>{{1,2,3,6},{4,5,7}} {{1,3,4,6},{2,5},{7}}=>{{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6},{7}} {{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}}=>{{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}} {{1,3,4},{2,5,6,7}}=>{{1,4},{2,3,5,6,7}}=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}} {{1,3,4},{2,5,6},{7}}=>{{1,4},{2,3,5,6},{7}}=>{{1},{2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6},{7}} {{1,3,4,7},{2,5},{6}}=>{{1,4,5},{2,3,7},{6}}=>{{1,3,4},{2,5,6},{7}}=>{{1},{2,3,6},{4,5,7}} {{1,3,4},{2,5,7},{6}}=>{{1,4},{2,3,5,7},{6}}=>{{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}} {{1,3,4},{2,5},{6,7}}=>{{1,4},{2,3,5},{6,7}}=>{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}} {{1,3,4},{2,5},{6},{7}}=>{{1,4},{2,3,5},{6},{7}}=>{{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}} {{1,3,4,6,7},{2},{5}}=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}} {{1,3,4,6},{2,7},{5}}=>{{1,4,7},{2,3,6},{5}}=>{{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6,7}} {{1,3,4,6},{2},{5,7}}=>{{1,3,4,7},{2},{5,6}}=>{{1,2,4,5},{3},{6,7}}=>{{1,2},{3,4,6,7},{5}} {{1,3,4,6},{2},{5},{7}}=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}} {{1,3,4,7},{2,6},{5}}=>{{1,4,6},{2,3,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}} {{1,3,4},{2,6,7},{5}}=>{{1,4},{2,3,6,7},{5}}=>{{1,3,4,7},{2,5},{6}}=>{{1,4,5,7},{2},{3,6}} {{1,3,4},{2,6},{5,7}}=>{{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,5},{6,7}}=>{{1,2},{3,6},{4,5,7}} {{1,3,4},{2,6},{5},{7}}=>{{1,4},{2,3,6},{5},{7}}=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}} {{1,3,4,7},{2},{5,6}}=>{{1,3,4,6},{2},{5,7}}=>{{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}} {{1,3,4},{2,7},{5,6}}=>{{1,4},{2,3,6},{5,7}}=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}} {{1,3,4},{2},{5,6,7}}=>{{1,3,4},{2},{5,6,7}}=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}} {{1,3,4},{2},{5,6},{7}}=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,4,5},{3},{6,7}}=>{{1,2},{3,4,6},{5},{7}} {{1,3,4,7},{2},{5},{6}}=>{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}} {{1,3,4},{2,7},{5},{6}}=>{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,5},{6},{7}}=>{{1},{2},{3,6},{4,5,7}} {{1,3,4},{2},{5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}} {{1,3,4},{2},{5},{6,7}}=>{{1,3,4},{2},{5},{6,7}}=>{{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}} {{1,3,4},{2},{5},{6},{7}}=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}} {{1,3,5,6,7},{2,4}}=>{{1,5,6,7},{2,3,4}}=>{{1,2,6,7},{3,4,5}}=>{{1,2,6,7},{3,4,5}} {{1,3,5,6},{2,4,7}}=>{{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}}=>{{1,6},{2,3,4,5,7}} {{1,3,5,6},{2,4},{7}}=>{{1,5,6},{2,3,4},{7}}=>{{1},{2,6,7},{3,4,5}}=>{{1,2,6},{3,4,5},{7}} {{1,3,5,7},{2,4,6}}=>{{1,7},{2,3,4,5,6}}=>{{1,2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6,7}} {{1,3,5},{2,4,6,7}}=>{{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}}=>{{1,6,7},{2,3,4,5}} {{1,3,5},{2,4,6},{7}}=>{{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}}=>{{1,6},{2,3,4,5},{7}} {{1,3,5,7},{2,4},{6}}=>{{1,5,7},{2,3,4},{6}}=>{{1,2,6},{3,4,5},{7}}=>{{1},{2,6,7},{3,4,5}} {{1,3,5},{2,4,7},{6}}=>{{1,7},{2,3,4,5},{6}}=>{{1,2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6,7}} {{1,3,5},{2,4},{6,7}}=>{{1,5},{2,3,4},{6,7}}=>{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}} {{1,3,5},{2,4},{6},{7}}=>{{1,5},{2,3,4},{6},{7}}=>{{1},{2,6},{3,4,5},{7}}=>{{1},{2,6},{3,4,5},{7}} {{1,3,6,7},{2,4,5}}=>{{1,5},{2,3,4,6,7}}=>{{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}} {{1,3,6},{2,4,5,7}}=>{{1,5,6},{2,3,4,7}}=>{{1,3,4,5},{2,6,7}}=>{{1,2,6},{3,4,5,7}} {{1,3,6},{2,4,5},{7}}=>{{1,5},{2,3,4,6},{7}}=>{{1},{2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6},{7}} {{1,3,7},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}}=>{{1,2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6,7}} {{1,3},{2,4,5,6,7}}=>{{1,4,5,6,7},{2,3}}=>{{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}} {{1,3},{2,4,5,6},{7}}=>{{1,4,5,6},{2,3},{7}}=>{{1},{2,5,6,7},{3,4}}=>{{1,2,3,6},{4,5},{7}} {{1,3,7},{2,4,5},{6}}=>{{1,5},{2,3,4,7},{6}}=>{{1,3,4,5},{2,6},{7}}=>{{1},{2,6},{3,4,5,7}} {{1,3},{2,4,5,7},{6}}=>{{1,4,5,7},{2,3},{6}}=>{{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}} {{1,3},{2,4,5},{6,7}}=>{{1,4,5},{2,3},{6,7}}=>{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}} {{1,3},{2,4,5},{6},{7}}=>{{1,4,5},{2,3},{6},{7}}=>{{1},{2,5,6},{3,4},{7}}=>{{1},{2,3,6},{4,5},{7}} {{1,3,6,7},{2,4},{5}}=>{{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3,4,5},{6}}=>{{1,6,7},{2},{3,4,5}} {{1,3,6},{2,4,7},{5}}=>{{1,7},{2,3,4,6},{5}}=>{{1,2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6,7}} {{1,3,6},{2,4},{5,7}}=>{{1,7},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}} {{1,3,6},{2,4},{5},{7}}=>{{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3,4,5},{6}}=>{{1,6},{2},{3,4,5},{7}} {{1,3,7},{2,4,6},{5}}=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4,5},{2,7},{6}}=>{{1,6},{2},{3,4,5,7}} {{1,3},{2,4,6,7},{5}}=>{{1,4,6,7},{2,3},{5}}=>{{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}} {{1,3},{2,4,6},{5,7}}=>{{1,4,7},{2,3},{5,6}}=>{{1,2,5},{3,4},{6,7}}=>{{1,2},{3,6,7},{4,5}} {{1,3},{2,4,6},{5},{7}}=>{{1,4,6},{2,3},{5},{7}}=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}} {{1,3,7},{2,4},{5,6}}=>{{1,6},{2,3,4},{5,7}}=>{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}} {{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}} {{1,3},{2,4},{5,6,7}}=>{{1,4},{2,3},{5,6,7}}=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}} {{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}=>{{1},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7}} {{1,3,7},{2,4},{5},{6}}=>{{1,7},{2,3,4},{5},{6}}=>{{1,2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6,7}} {{1,3},{2,4,7},{5},{6}}=>{{1,4,7},{2,3},{5},{6}}=>{{1,2,5},{3,4},{6},{7}}=>{{1},{2},{3,6,7},{4,5}} {{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}} {{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}=>{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}} {{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}} {{1,3,5,6,7},{2},{4}}=>{{1,3,5,6,7},{2},{4}}=>{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}} {{1,3,5,6},{2,7},{4}}=>{{1,5,7},{2,3,6},{4}}=>{{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}} {{1,3,5,6},{2},{4,7}}=>{{1,3,6},{2},{4,5,7}}=>{{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}} {{1,3,5,6},{2},{4},{7}}=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}} {{1,3,5,7},{2,6},{4}}=>{{1,5,6},{2,3,7},{4}}=>{{1,3,4},{2,6,7},{5}}=>{{1,2,6},{3},{4,5,7}} {{1,3,5},{2,6,7},{4}}=>{{1,5},{2,3,6,7},{4}}=>{{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}} {{1,3,5},{2,6},{4,7}}=>{{1,5},{2,3,7},{4,6}}=>{{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,5,7}} {{1,3,5},{2,6},{4},{7}}=>{{1,5},{2,3,6},{4},{7}}=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}} {{1,3,5,7},{2},{4,6}}=>{{1,3,7},{2},{4,5,6}}=>{{1,2,4},{3},{5,6,7}}=>{{1,2,3},{4,6,7},{5}} {{1,3,5},{2,7},{4,6}}=>{{1,6},{2,3,7},{4,5}}=>{{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3},{4,5,7}} {{1,3,5},{2},{4,6,7}}=>{{1,3,6,7},{2},{4,5}}=>{{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}} {{1,3,5},{2},{4,6},{7}}=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}} {{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}=>{{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}} {{1,3,5},{2,7},{4},{6}}=>{{1,5},{2,3,7},{4},{6}}=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,6},{3},{4,5,7}} {{1,3,5},{2},{4,7},{6}}=>{{1,3,7},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6,7},{5}} {{1,3,5},{2},{4},{6,7}}=>{{1,3,5},{2},{4},{6,7}}=>{{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}} {{1,3,5},{2},{4},{6},{7}}=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}} {{1,3,6,7},{2,5},{4}}=>{{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}} {{1,3,6},{2,5,7},{4}}=>{{1,7},{2,3,5,6},{4}}=>{{1,2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}} {{1,3,6},{2,5},{4,7}}=>{{1,7},{2,3,6},{4,5}}=>{{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}} {{1,3,6},{2,5},{4},{7}}=>{{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}} {{1,3,7},{2,5,6},{4}}=>{{1,6},{2,3,5,7},{4}}=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}} {{1,3},{2,5,6,7},{4}}=>{{1,5,6,7},{2,3},{4}}=>{{1,2,6,7},{3,4},{5}}=>{{1,2,6,7},{3},{4,5}} {{1,3},{2,5,6},{4,7}}=>{{1,6},{2,3},{4,5,7}}=>{{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}} {{1,3},{2,5,6},{4},{7}}=>{{1,5,6},{2,3},{4},{7}}=>{{1},{2,6,7},{3,4},{5}}=>{{1,2,6},{3},{4,5},{7}} {{1,3,7},{2,5},{4,6}}=>{{1,6},{2,3,5},{4,7}}=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}} {{1,3},{2,5,7},{4,6}}=>{{1,7},{2,3},{4,5,6}}=>{{1,2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6,7}} {{1,3},{2,5},{4,6,7}}=>{{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}=>{{1,6,7},{2,3},{4,5}} {{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}=>{{1,6},{2,3},{4,5},{7}} {{1,3,7},{2,5},{4},{6}}=>{{1,7},{2,3,5},{4},{6}}=>{{1,2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6,7}} {{1,3},{2,5,7},{4},{6}}=>{{1,5,7},{2,3},{4},{6}}=>{{1,2,6},{3,4},{5},{7}}=>{{1},{2,6,7},{3},{4,5}} {{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}=>{{1,2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6,7}} {{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}=>{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}} {{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3},{4,5},{7}} {{1,3,6,7},{2},{4,5}}=>{{1,3,5},{2},{4,6,7}}=>{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}} {{1,3,6},{2,7},{4,5}}=>{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}} {{1,3,6},{2},{4,5,7}}=>{{1,3,5,6},{2},{4,7}}=>{{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}} {{1,3,6},{2},{4,5},{7}}=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}} {{1,3,7},{2,6},{4,5}}=>{{1,7},{2,3,5},{4,6}}=>{{1,2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6,7}} {{1,3},{2,6,7},{4,5}}=>{{1,5},{2,3},{4,6,7}}=>{{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}} {{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,3},{4,7}}=>{{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}} {{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}=>{{1},{2,6},{3,4},{5,7}}=>{{1,3},{2,6},{4,5},{7}} {{1,3,7},{2},{4,5,6}}=>{{1,3,5,7},{2},{4,6}}=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}} {{1,3},{2,7},{4,5,6}}=>{{1,5,7},{2,3},{4,6}}=>{{1,2,6},{3,4},{5,7}}=>{{1,3},{2,6,7},{4,5}} {{1,3},{2},{4,5,6,7}}=>{{1,3},{2},{4,5,6,7}}=>{{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}} {{1,3},{2},{4,5,6},{7}}=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,4},{3},{5,6,7}}=>{{1,2,3},{4,6},{5},{7}} {{1,3,7},{2},{4,5},{6}}=>{{1,3,5},{2},{4,7},{6}}=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}} {{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}} {{1,3},{2},{4,5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}} {{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}=>{{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}} {{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6},{5},{7}} {{1,3,6,7},{2},{4},{5}}=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}} {{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}} {{1,3,6},{2},{4,7},{5}}=>{{1,3,7},{2},{4,6},{5}}=>{{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}} {{1,3,6},{2},{4},{5,7}}=>{{1,3,7},{2},{4},{5,6}}=>{{1,2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6,7},{5}} {{1,3,6},{2},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}} {{1,3,7},{2,6},{4},{5}}=>{{1,7},{2,3,6},{4},{5}}=>{{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}} {{1,3},{2,6,7},{4},{5}}=>{{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}} {{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}=>{{1,2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6,7}} {{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}=>{{1,2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6,7}} {{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}} {{1,3,7},{2},{4,6},{5}}=>{{1,3,6},{2},{4,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}} {{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}} {{1,3},{2},{4,6,7},{5}}=>{{1,3},{2},{4,6,7},{5}}=>{{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}} {{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}} {{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}} {{1,3,7},{2},{4},{5,6}}=>{{1,3,6},{2},{4},{5,7}}=>{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}} {{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}} {{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}} {{1,3},{2},{4},{5,6,7}}=>{{1,3},{2},{4},{5,6,7}}=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}} {{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6},{5},{7}} {{1,3,7},{2},{4},{5},{6}}=>{{1,3,7},{2},{4},{5},{6}}=>{{1,2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6,7},{5}} {{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1,2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6,7}} {{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}} {{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}} {{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}} {{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}} {{1,4,5,6,7},{2,3}}=>{{1,3},{2,4,5,6,7}}=>{{1,3,5,6,7},{2,4}}=>{{1,2,3,5,7},{4,6}} {{1,4,5,6},{2,3,7}}=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}}=>{{1,3,4,6},{2,5,7}} {{1,4,5,6},{2,3},{7}}=>{{1,3},{2,4,5,6},{7}}=>{{1},{2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6},{7}} {{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}}=>{{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}} {{1,4,5},{2,3,6,7}}=>{{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}}=>{{1,3,4,6,7},{2,5}} {{1,4,5},{2,3,6},{7}}=>{{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}}=>{{1,3,4,6},{2,5},{7}} {{1,4,5,7},{2,3},{6}}=>{{1,3},{2,4,5,7},{6}}=>{{1,3,5,6},{2,4},{7}}=>{{1},{2,3,5,7},{4,6}} {{1,4,5},{2,3,7},{6}}=>{{1,3,4,7},{2,5},{6}}=>{{1,2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6,7}} {{1,4,5},{2,3},{6,7}}=>{{1,3},{2,4,5},{6,7}}=>{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}} {{1,4,5},{2,3},{6},{7}}=>{{1,3},{2,4,5},{6},{7}}=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6},{7}} {{1,4,6,7},{2,3,5}}=>{{1,3,4,5},{2,6,7}}=>{{1,3,7},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}} {{1,4,6},{2,3,5,7}}=>{{1,3,4,5,6},{2,7}}=>{{1,3},{2,4,5,6,7}}=>{{1,2,3,4,6},{5,7}} {{1,4,6},{2,3,5},{7}}=>{{1,3,4,5},{2,6},{7}}=>{{1},{2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6},{7}} {{1,4,7},{2,3,5,6}}=>{{1,3,4,5,7},{2,6}}=>{{1,2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6,7}} {{1,4},{2,3,5,6,7}}=>{{1,3,4},{2,5,6,7}}=>{{1,3,6,7},{2,4,5}}=>{{1,2,5,7},{3,4,6}} {{1,4},{2,3,5,6},{7}}=>{{1,3,4},{2,5,6},{7}}=>{{1},{2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6},{7}} {{1,4,7},{2,3,5},{6}}=>{{1,3,4,5},{2,7},{6}}=>{{1,3},{2,4,5,6},{7}}=>{{1},{2,3,4,6},{5,7}} {{1,4},{2,3,5,7},{6}}=>{{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2,4,5},{7}}=>{{1},{2,5,7},{3,4,6}} {{1,4},{2,3,5},{6,7}}=>{{1,3,4},{2,5},{6,7}}=>{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}} {{1,4},{2,3,5},{6},{7}}=>{{1,3,4},{2,5},{6},{7}}=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}} {{1,4,6,7},{2,3},{5}}=>{{1,3},{2,4,6,7},{5}}=>{{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}} {{1,4,6},{2,3,7},{5}}=>{{1,3,4,7},{2,6},{5}}=>{{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6,7}} {{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}=>{{1,3,5},{2,4},{6,7}}=>{{1,2},{3,5,7},{4,6}} {{1,4,6},{2,3},{5},{7}}=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}} {{1,4,7},{2,3,6},{5}}=>{{1,3,4,6},{2,7},{5}}=>{{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}} {{1,4},{2,3,6,7},{5}}=>{{1,3,4},{2,6,7},{5}}=>{{1,3,7},{2,4,5},{6}}=>{{1,5,7},{2},{3,4,6}} {{1,4},{2,3,6},{5,7}}=>{{1,3,4},{2,7},{5,6}}=>{{1,3},{2,4,5},{6,7}}=>{{1,2},{3,4,6},{5,7}} {{1,4},{2,3,6},{5},{7}}=>{{1,3,4},{2,6},{5},{7}}=>{{1},{2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6},{7}} {{1,4,7},{2,3},{5,6}}=>{{1,3},{2,4,6},{5,7}}=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}} {{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,6},{5,7}}=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}} {{1,4},{2,3},{5,6,7}}=>{{1,3},{2,4},{5,6,7}}=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}} {{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7}} {{1,4,7},{2,3},{5},{6}}=>{{1,3},{2,4,7},{5},{6}}=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2},{3,5,7},{4,6}} {{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,7},{5},{6}}=>{{1,3},{2,4,5},{6},{7}}=>{{1},{2},{3,4,6},{5,7}} {{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}} {{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}} {{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}} {{1,5,6,7},{2,3,4}}=>{{1,3,5,6,7},{2,4}}=>{{1,2,4,6,7},{3,5}}=>{{1,2,4,6,7},{3,5}} {{1,5,6},{2,3,4,7}}=>{{1,3,6},{2,4,5,7}}=>{{1,3,5,6},{2,4,7}}=>{{1,4,6},{2,3,5,7}} {{1,5,6},{2,3,4},{7}}=>{{1,3,5,6},{2,4},{7}}=>{{1},{2,4,6,7},{3,5}}=>{{1,2,4,6},{3,5},{7}} {{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}}=>{{1,2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6,7}} {{1,5},{2,3,4,6,7}}=>{{1,3,6,7},{2,4,5}}=>{{1,2,4,7},{3,5,6}}=>{{1,4,6,7},{2,3,5}} {{1,5},{2,3,4,6},{7}}=>{{1,3,6},{2,4,5},{7}}=>{{1},{2,4,7},{3,5,6}}=>{{1,4,6},{2,3,5},{7}} {{1,5,7},{2,3,4},{6}}=>{{1,3,5,7},{2,4},{6}}=>{{1,2,4,6},{3,5},{7}}=>{{1},{2,4,6,7},{3,5}} {{1,5},{2,3,4,7},{6}}=>{{1,3,7},{2,4,5},{6}}=>{{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}} {{1,5},{2,3,4},{6,7}}=>{{1,3,5},{2,4},{6,7}}=>{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}} {{1,5},{2,3,4},{6},{7}}=>{{1,3,5},{2,4},{6},{7}}=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}} {{1,6,7},{2,3,4,5}}=>{{1,3,5},{2,4,6,7}}=>{{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}} {{1,6},{2,3,4,5,7}}=>{{1,3,5,6},{2,4,7}}=>{{1,3,5},{2,4,6,7}}=>{{1,2,4,6},{3,5,7}} {{1,6},{2,3,4,5},{7}}=>{{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}} {{1,7},{2,3,4,5,6}}=>{{1,3,5,7},{2,4,6}}=>{{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6,7}} {{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}=>{{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{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}} {{1,7},{2,3,4,5},{6}}=>{{1,3,5},{2,4,7},{6}}=>{{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}} {{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}}=>{{1},{2,3,4,5,7},{6}} {{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}=>{{1,7},{2},{3,4,5,6}}=>{{1,7},{2,3,4,5},{6}} {{1},{2,3,4,5},{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}}=>{{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}} {{1,6},{2,3,4,7},{5}}=>{{1,3,7},{2,4,6},{5}}=>{{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}} {{1,6},{2,3,4},{5,7}}=>{{1,3,7},{2,4},{5,6}}=>{{1,2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6,7}} {{1,6},{2,3,4},{5},{7}}=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}} {{1,7},{2,3,4,6},{5}}=>{{1,3,6},{2,4,7},{5}}=>{{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}} {{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}=>{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}} {{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}=>{{1,3,4,5},{2},{6,7}}=>{{1,2},{3,4,5,7},{6}} {{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}=>{{1},{2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6},{7}} {{1,7},{2,3,4},{5,6}}=>{{1,3,6},{2,4},{5,7}}=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}} {{1},{2,3,4,7},{5,6}}=>{{1},{2,3,4,6},{5,7}}=>{{1,6},{2},{3,4,5,7}}=>{{1,3,4,5},{2,7},{6}} {{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3,4,5},{6}} {{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}=>{{1},{2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6},{7}} {{1,7},{2,3,4},{5},{6}}=>{{1,3,7},{2,4},{5},{6}}=>{{1,2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6,7}} {{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}=>{{1,3,4,5},{2},{6},{7}}=>{{1},{2},{3,4,5,7},{6}} {{1},{2,3,4},{5,7},{6}}=>{{1},{2,3,4},{5,7},{6}}=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3,4,5},{6}} {{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}=>{{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}} {{1},{2,3,4},{5},{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}}=>{{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}} {{1,5,6},{2,3,7},{4}}=>{{1,3,5,7},{2,6},{4}}=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}} {{1,5,6},{2,3},{4,7}}=>{{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}} {{1,5,6},{2,3},{4},{7}}=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}} {{1,5,7},{2,3,6},{4}}=>{{1,3,5,6},{2,7},{4}}=>{{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}} {{1,5},{2,3,6,7},{4}}=>{{1,3,5},{2,6,7},{4}}=>{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}} {{1,5},{2,3,6},{4,7}}=>{{1,3,6},{2,7},{4,5}}=>{{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}} {{1,5},{2,3,6},{4},{7}}=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}} {{1,5,7},{2,3},{4,6}}=>{{1,3},{2,7},{4,5,6}}=>{{1,3},{2,4},{5,6,7}}=>{{1,2,3},{4,6},{5,7}} {{1,5},{2,3,7},{4,6}}=>{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}} {{1,5},{2,3},{4,6,7}}=>{{1,3},{2,6,7},{4,5}}=>{{1,3,7},{2,4},{5,6}}=>{{1,5,7},{2,3},{4,6}} {{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6},{7}} {{1,5,7},{2,3},{4},{6}}=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}} {{1,5},{2,3,7},{4},{6}}=>{{1,3,5},{2,7},{4},{6}}=>{{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}} {{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,4},{5,6},{7}}=>{{1},{2,3},{4,6},{5,7}} {{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}} {{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}} {{1,6,7},{2,3,5},{4}}=>{{1,3,6,7},{2,5},{4}}=>{{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}} {{1,6},{2,3,5,7},{4}}=>{{1,3,7},{2,5,6},{4}}=>{{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}} {{1,6},{2,3,5},{4,7}}=>{{1,3,7},{2,5},{4,6}}=>{{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}} {{1,6},{2,3,5},{4},{7}}=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}} {{1,7},{2,3,5,6},{4}}=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}} {{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}=>{{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}} {{1},{2,3,5,6},{4,7}}=>{{1},{2,3,6},{4,5,7}}=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,3,7},{6}} {{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}=>{{1},{2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}} {{1,7},{2,3,5},{4,6}}=>{{1,3,7},{2,6},{4,5}}=>{{1,2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6,7}} {{1},{2,3,5,7},{4,6}}=>{{1},{2,3,7},{4,5,6}}=>{{1,3,4},{2},{5,6,7}}=>{{1,2,3},{4,5,7},{6}} {{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}=>{{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}} {{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}=>{{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6},{7}} {{1,7},{2,3,5},{4},{6}}=>{{1,3,7},{2,5},{4},{6}}=>{{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}} {{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}=>{{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}} {{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}=>{{1,3,4},{2},{5,6},{7}}=>{{1},{2,3},{4,5,7},{6}} {{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}=>{{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}} {{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6},{7}} {{1,6,7},{2,3},{4,5}}=>{{1,3},{2,5},{4,6,7}}=>{{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}} {{1,6},{2,3,7},{4,5}}=>{{1,3,5},{2,7},{4,6}}=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}} {{1,6},{2,3},{4,5,7}}=>{{1,3},{2,5,6},{4,7}}=>{{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}} {{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}} {{1,7},{2,3,6},{4,5}}=>{{1,3,6},{2,5},{4,7}}=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}} {{1},{2,3,6,7},{4,5}}=>{{1},{2,3,5},{4,6,7}}=>{{1,5,7},{2},{3,4,6}}=>{{1,3,7},{2,4,5},{6}} {{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}=>{{1,5},{2},{3,4,6,7}}=>{{1,2,4,5},{3,7},{6}} {{1},{2,3,6},{4,5},{7}}=>{{1},{2,3,5},{4,6},{7}}=>{{1},{2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6},{7}} {{1,7},{2,3},{4,5,6}}=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}} {{1},{2,3,7},{4,5,6}}=>{{1},{2,3,5,7},{4,6}}=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}} {{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}=>{{1,5,6,7},{2},{3,4}}=>{{1,2,3,7},{4,5},{6}} {{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}=>{{1},{2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6},{7}} {{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}} {{1},{2,3,7},{4,5},{6}}=>{{1},{2,3,5},{4,7},{6}}=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,4,5},{3,7},{6}} {{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,3,7},{4,5},{6}} {{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}=>{{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}} {{1},{2,3},{4,5},{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}}=>{{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}} {{1,6},{2,3,7},{4},{5}}=>{{1,3,6},{2,7},{4},{5}}=>{{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}} {{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}} {{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,2},{3},{4,6},{5,7}} {{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}} {{1,7},{2,3,6},{4},{5}}=>{{1,3,7},{2,6},{4},{5}}=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}} {{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}=>{{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}} {{1},{2,3,6},{4,7},{5}}=>{{1},{2,3,7},{4,6},{5}}=>{{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}} {{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}=>{{1,3,4},{2},{5},{6,7}}=>{{1,2},{3},{4,5,7},{6}} {{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}} {{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}} {{1},{2,3,7},{4,6},{5}}=>{{1},{2,3,6},{4,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}} {{1},{2,3},{4,6,7},{5}}=>{{1},{2,3},{4,6,7},{5}}=>{{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}} {{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}=>{{1,5},{2},{3,4},{6,7}}=>{{1,2},{3,7},{4,5},{6}} {{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>{{1},{2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6},{7}} {{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}} {{1},{2,3,7},{4},{5,6}}=>{{1},{2,3,6},{4},{5,7}}=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}} {{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}} {{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}} {{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}=>{{1},{2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6},{7}} {{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5,7}} {{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>{{1},{2},{3},{4,5,7},{6}} {{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2},{3,7},{4,5},{6}} {{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}} {{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}} {{1},{2,3},{4},{5},{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}}=>{{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}} {{1,4,5,6},{2,7},{3}}=>{{1,5,7},{2,4,6},{3}}=>{{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}} {{1,4,5,6},{2},{3,7}}=>{{1,5,7},{2},{3,4,6}}=>{{1,2,6},{3},{4,5,7}}=>{{1,3,4},{2,6,7},{5}} {{1,4,5,6},{2},{3},{7}}=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}} {{1,4,5,7},{2,6},{3}}=>{{1,5,6},{2,4,7},{3}}=>{{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}} {{1,4,5},{2,6,7},{3}}=>{{1,5},{2,4,6,7},{3}}=>{{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}} {{1,4,5},{2,6},{3,7}}=>{{1,7},{2,5},{3,4,6}}=>{{1,2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6,7}} {{1,4,5},{2,6},{3},{7}}=>{{1,5},{2,4,6},{3},{7}}=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}} {{1,4,5,7},{2},{3,6}}=>{{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}} {{1,4,5},{2,7},{3,6}}=>{{1,5},{2,4,7},{3,6}}=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}} {{1,4,5},{2},{3,6,7}}=>{{1,5},{2},{3,4,6,7}}=>{{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}} {{1,4,5},{2},{3,6},{7}}=>{{1,5},{2},{3,4,6},{7}}=>{{1},{2,6},{3},{4,5,7}}=>{{1,3,4},{2,6},{5},{7}} {{1,4,5,7},{2},{3},{6}}=>{{1,4,5,7},{2},{3},{6}}=>{{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}} {{1,4,5},{2,7},{3},{6}}=>{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}} {{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}} {{1,4,5},{2},{3},{6,7}}=>{{1,4,5},{2},{3},{6,7}}=>{{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}} {{1,4,5},{2},{3},{6},{7}}=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}} {{1,4,6,7},{2,5},{3}}=>{{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}} {{1,4,6},{2,5,7},{3}}=>{{1,7},{2,4,5,6},{3}}=>{{1,2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6,7}} {{1,4,6},{2,5},{3,7}}=>{{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}} {{1,4,6},{2,5},{3},{7}}=>{{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}} {{1,4,7},{2,5,6},{3}}=>{{1,6},{2,4,5,7},{3}}=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}} {{1,4},{2,5,6,7},{3}}=>{{1,5,6,7},{2,4},{3}}=>{{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}} {{1,4},{2,5,6},{3,7}}=>{{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}} {{1,4},{2,5,6},{3},{7}}=>{{1,5,6},{2,4},{3},{7}}=>{{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}} {{1,4,7},{2,5},{3,6}}=>{{1,7},{2,6},{3,4,5}}=>{{1,2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6,7}} {{1,4},{2,5,7},{3,6}}=>{{1,7},{2,5,6},{3,4}}=>{{1,2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6,7}} {{1,4},{2,5},{3,6,7}}=>{{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}} {{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}} {{1,4,7},{2,5},{3},{6}}=>{{1,7},{2,4,5},{3},{6}}=>{{1,2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6,7}} {{1,4},{2,5,7},{3},{6}}=>{{1,5,7},{2,4},{3},{6}}=>{{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}} {{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}=>{{1,2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6,7}} {{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}} {{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}} {{1,4,6,7},{2},{3,5}}=>{{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3},{4,5,6}}=>{{1,6,7},{2,3,4},{5}} {{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,5},{3,7}}=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}} {{1,4,6},{2},{3,5,7}}=>{{1,7},{2},{3,4,5,6}}=>{{1,2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6,7}} {{1,4,6},{2},{3,5},{7}}=>{{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3},{4,5,6}}=>{{1,6},{2,3,4},{5},{7}} {{1,4,7},{2,6},{3,5}}=>{{1,5},{2,4,6},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}} {{1,4},{2,6,7},{3,5}}=>{{1,5},{2,4},{3,6,7}}=>{{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}} {{1,4},{2,6},{3,5,7}}=>{{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}} {{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}=>{{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}} {{1,4,7},{2},{3,5,6}}=>{{1,6},{2},{3,4,5,7}}=>{{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}} {{1,4},{2,7},{3,5,6}}=>{{1,5,7},{2,4},{3,6}}=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}} {{1,4},{2},{3,5,6,7}}=>{{1,5,6,7},{2},{3,4}}=>{{1,2,6,7},{3},{4,5}}=>{{1,2,6,7},{3,4},{5}} {{1,4},{2},{3,5,6},{7}}=>{{1,5,6},{2},{3,4},{7}}=>{{1},{2,6,7},{3},{4,5}}=>{{1,2,6},{3,4},{5},{7}} {{1,4,7},{2},{3,5},{6}}=>{{1,7},{2},{3,4,5},{6}}=>{{1,2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6,7}} {{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}} {{1,4},{2},{3,5,7},{6}}=>{{1,5,7},{2},{3,4},{6}}=>{{1,2,6},{3},{4,5},{7}}=>{{1},{2,6,7},{3,4},{5}} {{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}=>{{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}} {{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3,4},{5},{7}} {{1,4,6,7},{2},{3},{5}}=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}} {{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}} {{1,4,6},{2},{3,7},{5}}=>{{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}} {{1,4,6},{2},{3},{5,7}}=>{{1,4,7},{2},{3},{5,6}}=>{{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}} {{1,4,6},{2},{3},{5},{7}}=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}} {{1,4,7},{2,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}=>{{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}} {{1,4},{2,6,7},{3},{5}}=>{{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}} {{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}=>{{1,2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6,7}} {{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}} {{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}} {{1,4,7},{2},{3,6},{5}}=>{{1,7},{2},{3,4,6},{5}}=>{{1,2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6,7}} {{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}} {{1,4},{2},{3,6,7},{5}}=>{{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}} {{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}=>{{1,2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6,7}} {{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}} {{1,4,7},{2},{3},{5,6}}=>{{1,4,6},{2},{3},{5,7}}=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}} {{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}} {{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}} {{1,4},{2},{3},{5,6,7}}=>{{1,4},{2},{3},{5,6,7}}=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}} {{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}} {{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}=>{{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}} {{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1,2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6,7}} {{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1,2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6,7}} {{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}} {{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}} {{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}} {{1,5,6,7},{2,4},{3}}=>{{1,4},{2,5,6,7},{3}}=>{{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}} {{1,5,6},{2,4,7},{3}}=>{{1,4,5,7},{2,6},{3}}=>{{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}} {{1,5,6},{2,4},{3,7}}=>{{1,4},{2,6},{3,5,7}}=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}} {{1,5,6},{2,4},{3},{7}}=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}} {{1,5,7},{2,4,6},{3}}=>{{1,4,5,6},{2,7},{3}}=>{{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}} {{1,5},{2,4,6,7},{3}}=>{{1,4,5},{2,6,7},{3}}=>{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}} {{1,5},{2,4,6},{3,7}}=>{{1,4,7},{2,6},{3,5}}=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}} {{1,5},{2,4,6},{3},{7}}=>{{1,4,5},{2,6},{3},{7}}=>{{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}} {{1,5,7},{2,4},{3,6}}=>{{1,4},{2,7},{3,5,6}}=>{{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}} {{1,5},{2,4,7},{3,6}}=>{{1,4,5},{2,7},{3,6}}=>{{1,3},{2,5,6},{4,7}}=>{{1,4},{2,3,6},{5,7}} {{1,5},{2,4},{3,6,7}}=>{{1,4},{2,6,7},{3,5}}=>{{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}} {{1,5},{2,4},{3,6},{7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}} {{1,5,7},{2,4},{3},{6}}=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}} {{1,5},{2,4,7},{3},{6}}=>{{1,4,5},{2,7},{3},{6}}=>{{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}} {{1,5},{2,4},{3,7},{6}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}} {{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}} {{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}} {{1,6,7},{2,4,5},{3}}=>{{1,4,6,7},{2,5},{3}}=>{{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}} {{1,6},{2,4,5,7},{3}}=>{{1,4,7},{2,5,6},{3}}=>{{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}} {{1,6},{2,4,5},{3,7}}=>{{1,4,6},{2,7},{3,5}}=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}} {{1,6},{2,4,5},{3},{7}}=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}} {{1,7},{2,4,5,6},{3}}=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}} {{1},{2,4,5,6,7},{3}}=>{{1},{2,4,5,6,7},{3}}=>{{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}} {{1},{2,4,5,6},{3,7}}=>{{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}} {{1},{2,4,5,6},{3},{7}}=>{{1},{2,4,5,6},{3},{7}}=>{{1},{2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6},{7}} {{1,7},{2,4,5},{3,6}}=>{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}} {{1},{2,4,5,7},{3,6}}=>{{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,4,7},{6}} {{1},{2,4,5},{3,6,7}}=>{{1},{2,5},{3,4,6,7}}=>{{1,4,5,7},{2},{3,6}}=>{{1,3,4,7},{2,5},{6}} {{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}=>{{1},{2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6},{7}} {{1,7},{2,4,5},{3},{6}}=>{{1,4,7},{2,5},{3},{6}}=>{{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}} {{1},{2,4,5,7},{3},{6}}=>{{1},{2,4,5,7},{3},{6}}=>{{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}} {{1},{2,4,5},{3,7},{6}}=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5},{3,4,7},{6}} {{1},{2,4,5},{3},{6,7}}=>{{1},{2,4,5},{3},{6,7}}=>{{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}} {{1},{2,4,5},{3},{6},{7}}=>{{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6},{7}} {{1,6,7},{2,4},{3,5}}=>{{1,5},{2,6,7},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}} {{1,6},{2,4,7},{3,5}}=>{{1,5},{2,7},{3,4,6}}=>{{1,3},{2,6},{4,5,7}}=>{{1,3,4},{2,6},{5,7}} {{1,6},{2,4},{3,5,7}}=>{{1,5,6},{2,7},{3,4}}=>{{1,3},{2,6,7},{4,5}}=>{{1,2,6},{3,4},{5,7}} {{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}} {{1,7},{2,4,6},{3,5}}=>{{1,6},{2,7},{3,4,5}}=>{{1,3},{2,7},{4,5,6}}=>{{1,6},{2,3,4},{5,7}} {{1},{2,4,6,7},{3,5}}=>{{1},{2,6,7},{3,4,5}}=>{{1,3,7},{2},{4,5,6}}=>{{1,5,7},{2,3,4},{6}} {{1},{2,4,6},{3,5,7}}=>{{1},{2,7},{3,4,5,6}}=>{{1,3},{2},{4,5,6,7}}=>{{1,2,3,4},{5,7},{6}} {{1},{2,4,6},{3,5},{7}}=>{{1},{2,6},{3,4,5},{7}}=>{{1},{2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6},{7}} {{1,7},{2,4},{3,5,6}}=>{{1,5,7},{2,6},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}} {{1},{2,4,7},{3,5,6}}=>{{1},{2,6},{3,4,5,7}}=>{{1,4,5,6},{2},{3,7}}=>{{1,5},{2,3,4,7},{6}} {{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}=>{{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}} {{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}=>{{1},{2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6},{7}} {{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,3},{2,6},{4,5},{7}}=>{{1},{2,6},{3,4},{5,7}} {{1},{2,4,7},{3,5},{6}}=>{{1},{2,7},{3,4,5},{6}}=>{{1,3},{2},{4,5,6},{7}}=>{{1},{2,3,4},{5,7},{6}} {{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}=>{{1},{2,5,7},{3,4},{6}} {{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}=>{{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}} {{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6},{7}} {{1,6,7},{2,4},{3},{5}}=>{{1,4},{2,6,7},{3},{5}}=>{{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}} {{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}=>{{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}} {{1,6},{2,4},{3,7},{5}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}} {{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}} {{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}} {{1,7},{2,4,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}=>{{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}} {{1},{2,4,6,7},{3},{5}}=>{{1},{2,4,6,7},{3},{5}}=>{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}} {{1},{2,4,6},{3,7},{5}}=>{{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}} {{1},{2,4,6},{3},{5,7}}=>{{1},{2,4,7},{3},{5,6}}=>{{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}} {{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>{{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}} {{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}} {{1},{2,4,7},{3,6},{5}}=>{{1},{2,7},{3,4,6},{5}}=>{{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}} {{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}=>{{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}} {{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}=>{{1,3},{2},{4,5},{6,7}}=>{{1,2},{3,4},{5,7},{6}} {{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>{{1},{2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6},{7}} {{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}} {{1},{2,4,7},{3},{5,6}}=>{{1},{2,4,6},{3},{5,7}}=>{{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}} {{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}} {{1},{2,4},{3},{5,6,7}}=>{{1},{2,4},{3},{5,6,7}}=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}} {{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>{{1},{2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6},{7}} {{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}} {{1},{2,4,7},{3},{5},{6}}=>{{1},{2,4,7},{3},{5},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}} {{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,7},{6}} {{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}} {{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}} {{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}} {{1,5,6,7},{2},{3,4}}=>{{1,4},{2},{3,5,6,7}}=>{{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}} {{1,5,6},{2,7},{3,4}}=>{{1,6},{2,4},{3,5,7}}=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}} {{1,5,6},{2},{3,4,7}}=>{{1,4,5,7},{2},{3,6}}=>{{1,2,5,6},{3},{4,7}}=>{{1,4},{2,3,6,7},{5}} {{1,5,6},{2},{3,4},{7}}=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}} {{1,5,7},{2,6},{3,4}}=>{{1,7},{2,4},{3,5,6}}=>{{1,2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6,7}} {{1,5},{2,6,7},{3,4}}=>{{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}} {{1,5},{2,6},{3,4,7}}=>{{1,7},{2,4,5},{3,6}}=>{{1,2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6,7}} {{1,5},{2,6},{3,4},{7}}=>{{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}} {{1,5,7},{2},{3,4,6}}=>{{1,4,5,6},{2},{3,7}}=>{{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}} {{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,7},{3,5}}=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}} {{1,5},{2},{3,4,6,7}}=>{{1,4,5},{2},{3,6,7}}=>{{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}} {{1,5},{2},{3,4,6},{7}}=>{{1,4,5},{2},{3,6},{7}}=>{{1},{2,5,6},{3},{4,7}}=>{{1,4},{2,3,6},{5},{7}} {{1,5,7},{2},{3,4},{6}}=>{{1,4},{2},{3,5,7},{6}}=>{{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}} {{1,5},{2,7},{3,4},{6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1,2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6,7}} {{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}=>{{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}} {{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}} {{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}} {{1,6,7},{2,5},{3,4}}=>{{1,4},{2,5},{3,6,7}}=>{{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}} {{1,6},{2,5,7},{3,4}}=>{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}} {{1,6},{2,5},{3,4,7}}=>{{1,4,6},{2,5},{3,7}}=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}} {{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}} {{1,7},{2,5,6},{3,4}}=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}} {{1},{2,5,6,7},{3,4}}=>{{1},{2,4},{3,5,6,7}}=>{{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}} {{1},{2,5,6},{3,4,7}}=>{{1},{2,4,5,7},{3,6}}=>{{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}} {{1},{2,5,6},{3,4},{7}}=>{{1},{2,4},{3,5,6},{7}}=>{{1},{2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6},{7}} {{1,7},{2,5},{3,4,6}}=>{{1,4,5},{2,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}} {{1},{2,5,7},{3,4,6}}=>{{1},{2,4,5,6},{3,7}}=>{{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}} {{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}=>{{1,4,7},{2},{3,5,6}}=>{{1,4,7},{2,3,5},{6}} {{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}}=>{{1},{2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6},{7}} {{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}} {{1},{2,5,7},{3,4},{6}}=>{{1},{2,4},{3,5,7},{6}}=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}} {{1},{2,5},{3,4,7},{6}}=>{{1},{2,4,5},{3,7},{6}}=>{{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}} {{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}} {{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6},{7}} {{1,6,7},{2},{3,4,5}}=>{{1,4,6,7},{2},{3,5}}=>{{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}} {{1,6},{2,7},{3,4,5}}=>{{1,7},{2,4,6},{3,5}}=>{{1,2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6,7}} {{1,6},{2},{3,4,5,7}}=>{{1,4,7},{2},{3,5,6}}=>{{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}} {{1,6},{2},{3,4,5},{7}}=>{{1,4,6},{2},{3,5},{7}}=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}} {{1,7},{2,6},{3,4,5}}=>{{1,4,7},{2,5},{3,6}}=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}} {{1},{2,6,7},{3,4,5}}=>{{1},{2,4,6,7},{3,5}}=>{{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}} {{1},{2,6},{3,4,5,7}}=>{{1},{2,4,7},{3,5,6}}=>{{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}} {{1},{2,6},{3,4,5},{7}}=>{{1},{2,4,6},{3,5},{7}}=>{{1},{2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6},{7}} {{1,7},{2},{3,4,5,6}}=>{{1,4,6},{2},{3,5,7}}=>{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}} {{1},{2,7},{3,4,5,6}}=>{{1},{2,4,6},{3,5,7}}=>{{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}} {{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}=>{{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}} {{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6},{7}} {{1,7},{2},{3,4,5},{6}}=>{{1,4,7},{2},{3,5},{6}}=>{{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}} {{1},{2,7},{3,4,5},{6}}=>{{1},{2,4,7},{3,5},{6}}=>{{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}} {{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}=>{{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}} {{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}=>{{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}} {{1},{2},{3,4,5},{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}}=>{{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}} {{1,6},{2,7},{3,4},{5}}=>{{1,7},{2,4},{3,6},{5}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}} {{1,6},{2},{3,4,7},{5}}=>{{1,4,6},{2},{3,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}} {{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}} {{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}} {{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}} {{1},{2,6,7},{3,4},{5}}=>{{1},{2,4},{3,6,7},{5}}=>{{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}} {{1},{2,6},{3,4,7},{5}}=>{{1},{2,4,6},{3,7},{5}}=>{{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}} {{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}} {{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}} {{1,7},{2},{3,4,6},{5}}=>{{1,4,7},{2},{3,6},{5}}=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}} {{1},{2,7},{3,4,6},{5}}=>{{1},{2,4,7},{3,6},{5}}=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}} {{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}=>{{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}} {{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}} {{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6},{7}} {{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}} {{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}} {{1},{2},{3,4,7},{5,6}}=>{{1},{2},{3,4,6},{5,7}}=>{{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}} {{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}} {{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6},{7}} {{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}} {{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}} {{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}} {{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}} {{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}} {{1},{2},{3,4},{5},{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}}=>{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}} {{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}} {{1,5,6},{2},{3,7},{4}}=>{{1,6},{2},{3,5,7},{4}}=>{{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}} {{1,5,6},{2},{3},{4,7}}=>{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}} {{1,5,6},{2},{3},{4},{7}}=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}} {{1,5,7},{2,6},{3},{4}}=>{{1,7},{2,5,6},{3},{4}}=>{{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}} {{1,5},{2,6,7},{3},{4}}=>{{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}} {{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}} {{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}=>{{1,2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6,7}} {{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}} {{1,5,7},{2},{3,6},{4}}=>{{1,7},{2},{3,5,6},{4}}=>{{1,2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6,7}} {{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}} {{1,5},{2},{3,6,7},{4}}=>{{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}} {{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}=>{{1,2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6,7}} {{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}} {{1,5,7},{2},{3},{4,6}}=>{{1,7},{2},{3},{4,5,6}}=>{{1,2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6,7}} {{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}} {{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}} {{1,5},{2},{3},{4,6,7}}=>{{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}} {{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}} {{1,5,7},{2},{3},{4},{6}}=>{{1,5,7},{2},{3},{4},{6}}=>{{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}} {{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}} {{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1,2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6,7}} {{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1,2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6,7}} {{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}} {{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}} {{1,6,7},{2,5},{3},{4}}=>{{1,5},{2,6,7},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}} {{1,6},{2,5,7},{3},{4}}=>{{1,5,6},{2,7},{3},{4}}=>{{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}} {{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}} {{1,6},{2,5},{3},{4,7}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}} {{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}} {{1,7},{2,5,6},{3},{4}}=>{{1,5,7},{2,6},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}} {{1},{2,5,6,7},{3},{4}}=>{{1},{2,5,6,7},{3},{4}}=>{{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}} {{1},{2,5,6},{3,7},{4}}=>{{1},{2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}} {{1},{2,5,6},{3},{4,7}}=>{{1},{2,6},{3},{4,5,7}}=>{{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}} {{1},{2,5,6},{3},{4},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>{{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}} {{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}} {{1},{2,5,7},{3,6},{4}}=>{{1},{2,7},{3,5,6},{4}}=>{{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}} {{1},{2,5},{3,6,7},{4}}=>{{1},{2,6,7},{3,5},{4}}=>{{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}} {{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}=>{{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}} {{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}} {{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}} {{1},{2,5,7},{3},{4,6}}=>{{1},{2,7},{3},{4,5,6}}=>{{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,7},{6}} {{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}} {{1},{2,5},{3},{4,6,7}}=>{{1},{2,6,7},{3},{4,5}}=>{{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}} {{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>{{1},{2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6},{7}} {{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}} {{1},{2,5,7},{3},{4},{6}}=>{{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}} {{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}} {{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,7},{6}} {{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}} {{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}} {{1,6,7},{2},{3,5},{4}}=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}} {{1,6},{2,7},{3,5},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}} {{1,6},{2},{3,5,7},{4}}=>{{1,5,6},{2},{3,7},{4}}=>{{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}} {{1,6},{2},{3,5},{4,7}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}} {{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}} {{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}} {{1},{2,6,7},{3,5},{4}}=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}} {{1},{2,6},{3,5,7},{4}}=>{{1},{2,5,6},{3,7},{4}}=>{{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}} {{1},{2,6},{3,5},{4,7}}=>{{1},{2,5},{3,7},{4,6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}} {{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}} {{1,7},{2},{3,5,6},{4}}=>{{1,5,7},{2},{3,6},{4}}=>{{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}} {{1},{2,7},{3,5,6},{4}}=>{{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}} {{1},{2},{3,5,6,7},{4}}=>{{1},{2},{3,5,6,7},{4}}=>{{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}} {{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,6},{4,5,7}}=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}} {{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6},{7}} {{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}} {{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,7},{4,5}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}} {{1},{2},{3,5,7},{4,6}}=>{{1},{2},{3,7},{4,5,6}}=>{{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}} {{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}=>{{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}} {{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6},{7}} {{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}} {{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}} {{1},{2},{3,5,7},{4},{6}}=>{{1},{2},{3,5,7},{4},{6}}=>{{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}} {{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}} {{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}} {{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6},{7}} {{1,6,7},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6,7}}=>{{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}} {{1,6},{2,7},{3},{4,5}}=>{{1,7},{2,5},{3},{4,6}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}} {{1,6},{2},{3,7},{4,5}}=>{{1,7},{2},{3,5},{4,6}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6,7}} {{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2},{3},{4,7}}=>{{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}} {{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}} {{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}} {{1},{2,6,7},{3},{4,5}}=>{{1},{2,5},{3},{4,6,7}}=>{{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}} {{1},{2,6},{3,7},{4,5}}=>{{1},{2,7},{3,5},{4,6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}} {{1},{2,6},{3},{4,5,7}}=>{{1},{2,5,6},{3},{4,7}}=>{{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}} {{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}} {{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}} {{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}} {{1},{2},{3,6,7},{4,5}}=>{{1},{2},{3,5},{4,6,7}}=>{{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}} {{1},{2},{3,6},{4,5,7}}=>{{1},{2},{3,5,6},{4,7}}=>{{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}} {{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}} {{1,7},{2},{3},{4,5,6}}=>{{1,5,7},{2},{3},{4,6}}=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}} {{1},{2,7},{3},{4,5,6}}=>{{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}} {{1},{2},{3,7},{4,5,6}}=>{{1},{2},{3,5,7},{4,6}}=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}} {{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}=>{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}} {{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6},{7}} {{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}} {{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}} {{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}} {{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}=>{{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}} {{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}} {{1},{2},{3},{4,5},{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}}=>{{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}} {{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}} {{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}} {{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1,2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6,7}} {{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}} {{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}} {{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}} {{1},{2,6,7},{3},{4},{5}}=>{{1},{2,6,7},{3},{4},{5}}=>{{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}} {{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}} {{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}} {{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1,3},{2},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,7},{6}} {{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}} {{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}} {{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}} {{1},{2},{3,6,7},{4},{5}}=>{{1},{2},{3,6,7},{4},{5}}=>{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}} {{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}} {{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}} {{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}} {{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}} {{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}} {{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}} {{1},{2},{3},{4,6,7},{5}}=>{{1},{2},{3},{4,6,7},{5}}=>{{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}} {{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}} {{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6},{7}} {{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}} {{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}} {{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}} {{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}} {{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}=>{{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}} {{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6},{7}} {{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{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}}=>{{1,3},{2},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,7},{6}} {{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}} {{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}} {{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}} {{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}} {{1},{2},{3},{4},{5},{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}}=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}} {{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}} {{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,3},{4,6},{5,7}} {{1,5},{2,3},{4,6},{7,8}}=>{{1,3},{2,6},{4,5},{7,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}} {{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}} {{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,2},{3,6},{4,8},{5,7}} {{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}} {{1,8},{2,4},{3,5},{6,7}}=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}} {{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,3},{2,6},{4,5},{7,8}}=>{{1,2},{3,7},{4,5},{6,8}} {{1,6},{2,4},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}} {{1,5},{2,4},{3,6},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,8},{2,6},{3,5},{4,7}} {{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}} {{1,3},{2,5},{4,6},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}} {{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}} {{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,4},{3,5},{6,7}} {{1,3},{2,6},{4,5},{7,8}}=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,4},{3,7},{5,6}} {{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,8},{2,5},{3,7},{4,6}} {{1,5},{2,6},{3,4},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}} {{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}} {{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}} {{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}} {{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,7},{5,8}} {{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}} {{1,6},{2,7},{3,4},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7,8}} {{1,5},{2,7},{3,4},{6,8}}=>{{1,8},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}} {{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,2},{3,7},{4,6},{5,8}} {{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,2},{3,7},{4,8},{5,6}} {{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,2},{3,5},{4,8},{6,7}} {{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,4},{2,8},{3,5},{6,7}} {{1,3},{2,8},{4,5},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}} {{1,4},{2,8},{3,5},{6,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}} {{1,5},{2,8},{3,4},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}} {{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}} {{1,7},{2,8},{3,4},{5,6}}=>{{1,8},{2,4},{3,6},{5,7}}=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7,8}} {{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}} {{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}} {{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}} {{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}} {{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}} {{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,7},{2,3},{4,6},{5,8}} {{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,7},{2,3},{4,8},{5,6}} {{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}} {{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}} {{1,3},{2,7},{4,6},{5,8}}=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,3},{2,7},{4,8},{5,6}} {{1,4},{2,7},{3,6},{5,8}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,3},{2,7},{4,6},{5,8}} {{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,6},{3,4},{7,8}} {{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,6},{7,8}} {{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}} {{1,8},{2,6},{3,5},{4,7}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}} {{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}} {{1,7},{2,5},{3,6},{4,8}}=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,7},{3,4},{6,8}} {{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}} {{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}} {{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}} {{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}} {{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}} {{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6,7}} {{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}} {{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}} {{1,5},{2,4},{3,7},{6,8}}=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,7},{6,8}} {{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}} {{1,7},{2,4},{3,6},{5,8}}=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}} {{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}} {{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,6},{2,3},{4,8},{5,7}} {{1,7},{2,3},{4,6},{5,8}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}} {{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}} {{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,7},{6,8}} {{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,2},{3,8},{4,6},{5,7}} {{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}} {{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,2},{3,8},{4,5},{6,7}} {{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}} {{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,3},{2,8},{4,7},{5,6}} {{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,3},{2,8},{4,6},{5,7}} {{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}} {{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}} {{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}} {{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}} {{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}} {{1,7},{2,4},{3,8},{5,6}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}} {{1,6},{2,4},{3,8},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}} {{1,5},{2,4},{3,8},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}} {{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}} {{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}} {{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}} {{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,4},{3,8},{6,7}} {{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}} {{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}} {{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}} {{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,4},{3,5},{6,8}} {{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,4},{2,7},{3,5},{6,8}} {{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{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}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}} {{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}} {{1,6},{2,7},{3,8},{4,5}}=>{{1,8},{2,7},{3,5},{4,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}} {{1,5},{2,7},{3,8},{4,6}}=>{{1,8},{2,6},{3,5},{4,7}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,4},{2,6},{3,5},{7,8}} {{1,4},{2,7},{3,8},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,3},{2,6},{4,5},{7,8}} {{1,3},{2,7},{4,8},{5,6}}=>{{1,8},{2,3},{4,6},{5,7}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6},{7,8}} {{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}} {{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}} {{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}} {{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}} {{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}} {{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}} {{1,7},{2,8},{3,6},{4,5}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}} {{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}} {{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}}=>{{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}}=>{{1,5,6,7,8},{2},{3},{4}}=>{{1,2,3,4,8},{5},{6},{7}} {{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}=>{{1,4,5,6,7,8},{2},{3}}=>{{1,2,3,4,5,8},{6},{7}} {{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}=>{{1,5,6,7,8},{2},{3,4}}=>{{1,2,3,4,8},{5,6},{7}} {{1},{2,5,6,7,8},{3},{4}}=>{{1},{2,5,6,7,8},{3},{4}}=>{{1,3,6,7,8},{2},{4},{5}}=>{{1,2,3,6,8},{4},{5},{7}} {{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}=>{{1,3,4,5,6,7,8},{2}}=>{{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},{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}}=>{{1,6,8},{2,3},{4,5},{7}}=>{{1,3,8},{2},{4,5},{6,7}} {{1,2},{3,4},{5,6,7,8}}=>{{1,2},{3,4},{5,6,7,8}}=>{{1,6,7,8},{2,3},{4,5}}=>{{1,2,3,8},{4,5},{6,7}} {{1,2},{3,6,7,8},{4},{5}}=>{{1,2},{3,6,7,8},{4},{5}}=>{{1,4,7,8},{2,3},{5},{6}}=>{{1,2,5,8},{3},{4},{6,7}} {{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}}=>{{1,8},{2,3},{4,6,7},{5}}=>{{1,8},{2,3,5},{4},{6,7}} {{1,2},{3,5,6,8},{4},{7}}=>{{1,2},{3,5,6,8},{4},{7}}=>{{1,4,6,7},{2,3},{5},{8}}=>{{1},{2,3,5,8},{4},{6,7}} {{1,2},{3,5,6,7,8},{4}}=>{{1,2},{3,5,6,7,8},{4}}=>{{1,4,6,7,8},{2,3},{5}}=>{{1,2,3,5,8},{4},{6,7}} {{1,2},{3,6,7,8},{4,5}}=>{{1,2},{3,5},{4,6,7,8}}=>{{1,5,7,8},{2,3},{4,6}}=>{{1,2,4,8},{3,5},{6,7}} {{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}}=>{{1,8},{2,3},{4,5,7},{6}}=>{{1,8},{2,4,5},{3},{6,7}} {{1,2},{3,4,6,7,8},{5}}=>{{1,2},{3,4,6,7,8},{5}}=>{{1,4,5,7,8},{2,3},{6}}=>{{1,2,4,5,8},{3},{6,7}} {{1,2},{3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6},{7,8}}=>{{1,8},{2,3},{4,5,6,7}}=>{{1,8},{2,3,4,5},{6,7}} {{1,2},{3,4,7,8},{5,6}}=>{{1,2},{3,4,6},{5,7,8}}=>{{1,6,8},{2,3},{4,5,7}}=>{{1,3,8},{2,4,5},{6,7}} {{1,2},{3,8},{4,5,7},{6}}=>{{1,2},{3,5,8},{4,7},{6}}=>{{1,4,6},{2,3},{5,8},{7}}=>{{1,4},{2},{3,5,8},{6,7}} {{1,2},{3,4,5,7,8},{6}}=>{{1,2},{3,4,5,7,8},{6}}=>{{1,4,5,6,8},{2,3},{7}}=>{{1,3,4,5,8},{2},{6,7}} {{1,2},{3,4,5,8},{6,7}}=>{{1,2},{3,4,5,7},{6,8}}=>{{1,7},{2,3},{4,5,6,8}}=>{{1,3,4,5},{2,8},{6,7}} {{1,2},{3,4,5,6,8},{7}}=>{{1,2},{3,4,5,6,8},{7}}=>{{1,4,5,6,7},{2,3},{8}}=>{{1},{2,3,4,5,8},{6,7}} {{1,2},{3,4,5,6,7,8}}=>{{1,2},{3,4,5,6,7,8}}=>{{1,4,5,6,7,8},{2,3}}=>{{1,2,3,4,5,8},{6,7}} {{1,3},{2},{4,5,6,7,8}}=>{{1,3},{2},{4,5,6,7,8}}=>{{1,5,6,7,8},{2,4},{3}}=>{{1,2,3,4,8},{5,7},{6}} {{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7,8}} {{1,7,8},{2},{3},{4},{5},{6}}=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}} {{1,6,7,8},{2},{3},{4},{5}}=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,7,8},{3},{4},{5},{6}}=>{{1,2,7,8},{3},{4},{5},{6}} {{1,5,6,7,8},{2},{3},{4}}=>{{1,5,6,7,8},{2},{3},{4}}=>{{1,2,6,7,8},{3},{4},{5}}=>{{1,2,3,7,8},{4},{5},{6}} {{1,4,5,6},{2},{3},{7,8}}=>{{1,4,5,6},{2},{3},{7,8}}=>{{1,8},{2,5,6,7},{3},{4}}=>{{1,8},{2,3,4,7},{5},{6}} {{1,4,5,6,7,8},{2},{3}}=>{{1,4,5,6,7,8},{2},{3}}=>{{1,2,5,6,7,8},{3},{4}}=>{{1,2,3,4,7,8},{5},{6}} {{1,3,4},{2},{5,6},{7,8}}=>{{1,3,4},{2},{5,6},{7,8}}=>{{1,8},{2,4,5},{3},{6,7}}=>{{1,8},{2,3},{4,5,7},{6}} {{1,3,5},{2},{4},{6,7,8}}=>{{1,3,5},{2},{4},{6,7,8}}=>{{1,7,8},{2,4,6},{3},{5}}=>{{1,2,8},{3,5,7},{4},{6}} {{1,3,5,7},{2},{4},{6},{8}}=>{{1,3,5,7},{2},{4},{6},{8}}=>{{1},{2,4,6,8},{3},{5},{7}}=>{{1,3,5,7},{2},{4},{6},{8}} {{1,3,5,6,7,8},{2},{4}}=>{{1,3,5,6,7,8},{2},{4}}=>{{1,2,4,6,7,8},{3},{5}}=>{{1,2,3,5,7,8},{4},{6}} {{1,3,4,6,8},{2},{5},{7}}=>{{1,3,4,6,8},{2},{5},{7}}=>{{1,2,4,5,7},{3},{6},{8}}=>{{1},{2,4,5,7,8},{3},{6}} {{1,3,4,6,7,8},{2},{5}}=>{{1,3,4,6,7,8},{2},{5}}=>{{1,2,4,5,7,8},{3},{6}}=>{{1,2,4,5,7,8},{3},{6}} {{1,3,4,5,6,7},{2},{8}}=>{{1,3,4,5,6,7},{2},{8}}=>{{1},{2,4,5,6,7,8},{3}}=>{{1,2,3,4,5,7},{6},{8}} {{1,8},{2},{3,4,5,6,7}}=>{{1,4,6,8},{2},{3,5,7}}=>{{1,2,5,7},{3},{4,6,8}}=>{{1,3,5},{2,4,7,8},{6}} {{1,3,4,5,6,8},{2},{7}}=>{{1,3,4,5,6,8},{2},{7}}=>{{1,2,4,5,6,7},{3},{8}}=>{{1},{2,3,4,5,7,8},{6}} {{1,3,4,5,6,7,8},{2}}=>{{1,3,4,5,6,7,8},{2}}=>{{1,2,4,5,6,7,8},{3}}=>{{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},{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}}=>{{1,6,7,8},{2,4},{3,5}}=>{{1,2,3,8},{4,6},{5,7}} {{1,6,7,8},{2,3},{4,5}}=>{{1,3},{2,5},{4,6,7,8}}=>{{1,5,7,8},{2,4},{3,6}}=>{{1,2,4,8},{3,6},{5,7}} {{1,4,5,6},{2,3},{7,8}}=>{{1,3},{2,4,5,6},{7,8}}=>{{1,8},{2,4},{3,5,6,7}}=>{{1,8},{2,3,4,6},{5,7}} {{1,4,5,8},{2,3},{6,7}}=>{{1,3},{2,4,5,7},{6,8}}=>{{1,7},{2,4},{3,5,6,8}}=>{{1,3,4,6},{2,8},{5,7}} {{1,4,5,6,8},{2,3},{7}}=>{{1,3},{2,4,5,6,8},{7}}=>{{1,3,5,6,7},{2,4},{8}}=>{{1},{2,3,4,6,8},{5,7}} {{1,4,5,6,7,8},{2,3}}=>{{1,3},{2,4,5,6,7,8}}=>{{1,3,5,6,7,8},{2,4}}=>{{1,2,3,4,6,8},{5,7}} {{1,2,4},{3},{5,6},{7,8}}=>{{1,2,4},{3},{5,6},{7,8}}=>{{1,8},{2,3,5},{4},{6,7}}=>{{1,8},{2,3},{4,6,7},{5}} {{1,2,4},{3},{5,6,7,8}}=>{{1,2,4},{3},{5,6,7,8}}=>{{1,6,7,8},{2,3,5},{4}}=>{{1,2,3,8},{4,6,7},{5}} {{1,2,5,6,7,8},{3},{4}}=>{{1,2,5,6,7,8},{3},{4}}=>{{1,2,3,6,7,8},{4},{5}}=>{{1,2,3,6,7,8},{4},{5}} {{1,6},{2,4,5},{3},{7,8}}=>{{1,4,6},{2,5},{3},{7,8}}=>{{1,8},{2,5,7},{3,6},{4}}=>{{1,8},{2,4,7},{3,6},{5}} {{1,8},{2,6,7},{3},{4,5}}=>{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,6},{4},{5,8}}=>{{1,4},{2,6,8},{3,7},{5}} {{1,2,4,6},{3},{5},{7,8}}=>{{1,2,4,6},{3},{5},{7,8}}=>{{1,8},{2,3,5,7},{4},{6}}=>{{1,8},{2,4,6,7},{3},{5}} {{1,2,4,6,8},{3},{5},{7}}=>{{1,2,4,6,8},{3},{5},{7}}=>{{1,2,3,5,7},{4},{6},{8}}=>{{1},{2,4,6,7,8},{3},{5}} {{1,2,4,6,7,8},{3},{5}}=>{{1,2,4,6,7,8},{3},{5}}=>{{1,2,3,5,7,8},{4},{6}}=>{{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},{2,3,5,6,7},{4}}=>{{1,8},{2,3,4,6,7},{5}} {{1,2,4,5,7,8},{3},{6}}=>{{1,2,4,5,7,8},{3},{6}}=>{{1,2,3,5,6,8},{4},{7}}=>{{1,3,4,6,7,8},{2},{5}} {{1,2,4,5,6,8},{3},{7}}=>{{1,2,4,5,6,8},{3},{7}}=>{{1,2,3,5,6,7},{4},{8}}=>{{1},{2,3,4,6,7,8},{5}} {{1,2,4,5,6,7,8},{3}}=>{{1,2,4,5,6,7,8},{3}}=>{{1,2,3,5,6,7,8},{4}}=>{{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},{5,6},{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}}=>{{1,8},{2,3,4,5},{6,7}}=>{{1,8},{2,3},{4,5,6,7}} {{1,2,3,4},{5,7,8},{6}}=>{{1,2,3,4},{5,7,8},{6}}=>{{1,6,8},{2,3,4,5},{7}}=>{{1,3,8},{2},{4,5,6,7}} {{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}}=>{{1,7},{2,3,4,5},{6,8}}=>{{1,3},{2,8},{4,5,6,7}} {{1,2,3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6,7,8}}=>{{1,6,7,8},{2,3,4,5}}=>{{1,2,3,8},{4,5,6,7}} {{1,6,7,8},{2,3,4},{5}}=>{{1,3,6,7,8},{2,4},{5}}=>{{1,2,4,7,8},{3,5},{6}}=>{{1,2,5,7,8},{3},{4,6}} {{1,5,6,7,8},{2,3,4}}=>{{1,3,5,6,7,8},{2,4}}=>{{1,2,4,6,7,8},{3,5}}=>{{1,2,3,5,7,8},{4,6}} {{1,6,7,8},{2,5},{3,4}}=>{{1,4},{2,5},{3,6,7,8}}=>{{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}} {{1,2,5,8},{3,4},{6,7}}=>{{1,2,4},{3,5,7},{6,8}}=>{{1,7},{2,3,5},{4,6,8}}=>{{1,3,5},{2,8},{4,6,7}} {{1,2,5,6,7,8},{3,4}}=>{{1,2,4},{3,5,6,7,8}}=>{{1,4,6,7,8},{2,3,5}}=>{{1,2,3,5,8},{4,6,7}} {{1,2,3,6},{4},{5},{7,8}}=>{{1,2,3,6},{4},{5},{7,8}}=>{{1,8},{2,3,4,7},{5},{6}}=>{{1,8},{2,5,6,7},{3},{4}} {{1,2,3,7,8},{4},{5},{6}}=>{{1,2,3,7,8},{4},{5},{6}}=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}} {{1,2,3,6,7,8},{4},{5}}=>{{1,2,3,6,7,8},{4},{5}}=>{{1,2,3,4,7,8},{5},{6}}=>{{1,2,5,6,7,8},{3},{4}} {{1,2,3,5,6},{4},{7,8}}=>{{1,2,3,5,6},{4},{7,8}}=>{{1,8},{2,3,4,6,7},{5}}=>{{1,8},{2,3,5,6,7},{4}} {{1,8},{2,3,5,7},{4},{6}}=>{{1,3,7},{2,5,8},{4},{6}}=>{{1,3,6},{2,4,8},{5},{7}}=>{{1,5,7},{2},{3,6,8},{4}} {{1,8},{2,3,5,6,7},{4}}=>{{1,3,6,8},{2,5,7},{4}}=>{{1,2,4,7},{3,6,8},{5}}=>{{1,3,6},{2,5,7,8},{4}} {{1,2,3,5,6,7,8},{4}}=>{{1,2,3,5,6,7,8},{4}}=>{{1,2,3,4,6,7,8},{5}}=>{{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},{6,7},{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}} {{1,6,7,8},{2,3,4,5}}=>{{1,3,5},{2,4,6,7,8}}=>{{1,3,5,7,8},{2,4,6}}=>{{1,2,4,6,8},{3,5,7}} {{1,2,6,7,8},{3,4,5}}=>{{1,2,4,6,7,8},{3,5}}=>{{1,2,3,5,7,8},{4,6}}=>{{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},{2,3,4,6},{5,7}}=>{{1,8},{2,4},{3,5,6,7}} {{1,2,3,8},{4,5},{6,7}}=>{{1,2,3,5},{4,7},{6,8}}=>{{1,7},{2,3,4,6},{5,8}}=>{{1,4},{2,8},{3,5,6,7}} {{1,2,3,6,7,8},{4,5}}=>{{1,2,3,5},{4,6,7,8}}=>{{1,5,7,8},{2,3,4,6}}=>{{1,2,4,8},{3,5,6,7}} {{1,8},{2,3,7},{4,6},{5}}=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,5},{2,4,8},{3,7},{6}}=>{{1,5,7},{2,6},{3},{4,8}} {{1,2,3,4,8},{5},{6},{7}}=>{{1,2,3,4,8},{5},{6},{7}}=>{{1,2,3,4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5,6,7,8}} {{1,2,3,4,6,8},{5},{7}}=>{{1,2,3,4,6,8},{5},{7}}=>{{1,2,3,4,5,7},{6},{8}}=>{{1},{2,4,5,6,7,8},{3}} {{1,2,3,4,6,7,8},{5}}=>{{1,2,3,4,6,7,8},{5}}=>{{1,2,3,4,5,7,8},{6}}=>{{1,2,4,5,6,7,8},{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}}=>{{1,8},{2,3,4,5,6,7}}=>{{1,8},{2,3,4,5,6,7}} {{1,7},{2,3,4,5,6},{8}}=>{{1,3,5,7},{2,4,6},{8}}=>{{1},{2,4,6,8},{3,5,7}}=>{{1,3,5,7},{2,4,6},{8}} {{1,8},{2,7},{3,4,5,6}}=>{{1,4,7},{2,5,8},{3,6}}=>{{1,3,6},{2,5,8},{4,7}}=>{{1,4,7},{2,5},{3,6,8}} {{1,2,7,8},{3,4,5,6}}=>{{1,2,4,6},{3,5,7,8}}=>{{1,4,6,8},{2,3,5,7}}=>{{1,3,5,8},{2,4,6,7}} {{1,2,8},{3,7},{4,5,6}}=>{{1,2,5,8},{3,6},{4,7}}=>{{1,2,3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6,7,8}} {{1,2,3,7,8},{4,5,6}}=>{{1,2,3,5,7,8},{4,6}}=>{{1,2,3,4,6,8},{5,7}}=>{{1,3,5,6,7,8},{2,4}} {{1,2,3,8},{4,7},{5,6}}=>{{1,2,3,6},{4,7},{5,8}}=>{{1,6},{2,3,4,7},{5,8}}=>{{1,4},{2,5,6,7},{3,8}} {{1,2,3,4,7,8},{5,6}}=>{{1,2,3,4,6},{5,7,8}}=>{{1,6,8},{2,3,4,5,7}}=>{{1,3,8},{2,4,5,6,7}} {{1,2,3,4,5,7},{6},{8}}=>{{1,2,3,4,5,7},{6},{8}}=>{{1},{2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7},{2},{8}} {{1,2,8},{3,4,5,7},{6}}=>{{1,2,4,7},{3,5,8},{6}}=>{{1,4,6},{2,3,5,8},{7}}=>{{1,4,6,7},{2},{3,5,8}} {{1,2,3,4,5,7,8},{6}}=>{{1,2,3,4,5,7,8},{6}}=>{{1,2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7,8},{2}} {{1,2,3,4,5,6,7},{8}}=>{{1,2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7},{8}} {{1,8},{2,3,4,5,6,7}}=>{{1,3,5,7},{2,4,6,8}}=>{{1,3,5,7},{2,4,6,8}}=>{{1,3,5,7},{2,4,6,8}} {{1,2,8},{3,4,5,6,7}}=>{{1,2,4,6,8},{3,5,7}}=>{{1,2,3,5,7},{4,6,8}}=>{{1,3,5},{2,4,6,7,8}} {{1,2,3,8},{4,5,6,7}}=>{{1,2,3,5,7},{4,6,8}}=>{{1,5,7},{2,3,4,6,8}}=>{{1,3,5,6,7},{2,4,8}} {{1,2,3,4,8},{5,6,7}}=>{{1,2,3,4,6,8},{5,7}}=>{{1,2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7,8}} {{1,2,3,4,5,8},{6,7}}=>{{1,2,3,4,5,7},{6,8}}=>{{1,7},{2,3,4,5,6,8}}=>{{1,3,4,5,6,7},{2,8}} {{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}} {{1,4,6},{2},{3,7},{5,8}}=>{{1,6},{2},{3,4,8},{5,7}}=>{{1,4,5},{2,7},{3},{6,8}}=>{{1,3},{2,7},{4,5,8},{6}} {{1,2},{3,6,7},{4,8},{5}}=>{{1,2},{3,7},{4,6,8},{5}}=>{{1,5,7},{2,3},{4,8},{6}}=>{{1,5},{2,4,8},{3},{6,7}} {{1,2},{3,7},{4,6,8},{5}}=>{{1,2},{3,6,7},{4,8},{5}}=>{{1,5},{2,3},{4,7,8},{6}}=>{{1,2,5},{3},{4,8},{6,7}} {{1,3},{2,6,7},{4},{5,8}}=>{{1,7},{2,3},{4},{5,6,8}}=>{{1,6,7},{2,8},{3,4},{5}}=>{{1,7},{2,3,8},{4},{5,6}} {{1,3},{2,7,8},{4,5},{6}}=>{{1,5},{2,3},{4,7,8},{6}}=>{{1,5,8},{2,6},{3,4},{7}}=>{{1,4,8},{2},{3,7},{5,6}} {{1,3,7},{2,8},{4,5},{6}}=>{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6},{3,4,8},{7}}=>{{1,5,6},{2},{3,7},{4,8}} {{1,2},{3,7},{4,5,8},{6}}=>{{1,2},{3,5,7},{4,8},{6}}=>{{1,5},{2,3},{4,6,8},{7}}=>{{1,3,5},{2},{4,8},{6,7}} {{1,3,7},{2,8},{4,6},{5}}=>{{1,6},{2,3,7},{4,8},{5}}=>{{1,5},{2,7},{3,4,8},{6}}=>{{1,5,6},{2,7},{3},{4,8}} {{1,5,6,8},{2,7},{3},{4}}=>{{1,6,7},{2,5,8},{3},{4}}=>{{1,3,6},{2,7,8},{4},{5}}=>{{1,2,7},{3,6,8},{4},{5}} {{1,4,8},{2,6},{3,7},{5}}=>{{1,8},{2,7},{3,4,6},{5}}=>{{1,2},{3,8},{4,5,7},{6}}=>{{1,6},{2,4,5},{3},{7,8}} {{1,6},{2,3,7,8},{4},{5}}=>{{1,3,6},{2,7,8},{4},{5}}=>{{1,3,8},{2,4,7},{5},{6}}=>{{1,6,8},{2,5,7},{3},{4}} {{1,5},{2,3,6},{4},{7,8}}=>{{1,3,5},{2,6},{4},{7,8}}=>{{1,8},{2,4,6},{3,7},{5}}=>{{1,8},{2,6},{3,5,7},{4}} {{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,4,5},{3,8},{6}}=>{{1,4},{2,8},{3,5,6},{7}}=>{{1,7},{2},{3,4,6},{5,8}} {{1,3,7},{2,6},{4,8},{5}}=>{{1,8},{2,3,7},{4,6},{5}}=>{{1,2},{3,4,8},{5,7},{6}}=>{{1,5,6},{2,4},{3},{7,8}} {{1,7},{2,3,5},{4,8},{6}}=>{{1,3,8},{2,5},{4,7},{6}}=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}} {{1,3,5,7},{2},{4,6},{8}}=>{{1,3,7},{2},{4,5,6},{8}}=>{{1},{2,4,8},{3},{5,6,7}}=>{{1,5,7},{2,3,4},{6},{8}} {{1,3,5,7},{2,4},{6},{8}}=>{{1,5,7},{2,3,4},{6},{8}}=>{{1},{2,6,8},{3,4,5},{7}}=>{{1,3,7},{2},{4,5,6},{8}} {{1,3,4,7},{2,8},{5},{6}}=>{{1,4,8},{2,3,7},{5},{6}}=>{{1,2,5},{3,4,8},{6},{7}}=>{{1,5,6},{2},{3},{4,7,8}} {{1,3,6,7},{2,8},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}=>{{1,2,7},{3,4,8},{5},{6}}=>{{1,5,6},{2,7,8},{3},{4}} {{1,7},{2,3,5,8},{4},{6}}=>{{1,3,8},{2,5,7},{4},{6}}=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}} {{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}} {{1,9},{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},{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}}=>{{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},{2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9},{10}} {{1,5},{2,4,6},{3},{7,8}}=>{{1,4,5},{2,6},{3},{7,8}}=>{{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}} {{1,2,6,7},{3,8},{4},{5}}=>{{1,2,7},{3,6,8},{4},{5}}=>{{1,4,7},{2,3,8},{5},{6}}=>{{1,6,7},{2,5,8},{3},{4}} {{1,4,5,8},{2,7},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,3,5},{2,6,8},{4},{7}}=>{{1,3,7},{2},{4,6,8},{5}} {{1,4,6,7},{2,3,5,8}}=>{{1,3,4,5,6,8},{2,7}}=>{{1,2,4,5,6,7},{3,8}}=>{{1,6},{2,3,4,5,7,8}} {{1,3,5,7},{2,4,6,8}}=>{{1,8},{2,3,4,5,6,7}}=>{{1,2},{3,4,5,6,7,8}}=>{{1,2,3,4,5,6},{7,8}} {{1,3,4,7},{2,5,6,8}}=>{{1,4,5,8},{2,3,6,7}}=>{{1,2,5,6},{3,4,7,8}}=>{{1,2,5,6},{3,4,7,8}} {{1,2,5,6},{3,4,7,8}}=>{{1,2,4,5,7,8},{3,6}}=>{{1,2,3,5,6,8},{4,7}}=>{{1,3,4,6,7,8},{2,5}} {{1,5,6,7},{2,3,4,8}}=>{{1,3,6,8},{2,4,5,7}}=>{{1,2,4,7},{3,5,6,8}}=>{{1,3,4,6},{2,5,7,8}} {{1,6,7},{2,3,8},{4},{5}}=>{{1,3,6,8},{2,7},{4},{5}}=>{{1,2,4,7},{3,8},{5},{6}}=>{{1,6},{2,5,7,8},{3},{4}} {{1,2,4,6},{3,5,7,8}}=>{{1,2,7,8},{3,4,5,6}}=>{{1,2,3,8},{4,5,6,7}}=>{{1,6,7,8},{2,3,4,5}} {{1,2,3,5},{4,6,7,8}}=>{{1,2,3,6,7,8},{4,5}}=>{{1,2,3,4,7,8},{5,6}}=>{{1,2,5,6,7,8},{3,4}} {{1,2,7},{3},{4,5,8},{6}}=>{{1,2,5,7},{3},{4,8},{6}}=>{{1,5},{2,3,6,8},{4},{7}}=>{{1,3,6,7},{2},{4,8},{5}} {{1,3,6,7},{2,4,5,8}}=>{{1,5,6,8},{2,3,4,7}}=>{{1,2,6,7},{3,4,5,8}}=>{{1,4,5,6},{2,3,7,8}} {{1,3,6,8},{2,7},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,3,4},{2,7,8},{5},{6}}=>{{1,2,7},{3},{4},{5,6,8}} {{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}} {{1,8,9},{2},{3},{4},{5},{6},{7}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}}=>{{1,2,9},{3},{4},{5},{6},{7},{8}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}} {{1,4,5,7},{2,3,6,8}}=>{{1,3,4,8},{2,5,6,7}}=>{{1,2,4,5},{3,6,7,8}}=>{{1,2,3,6},{4,5,7,8}} {{1,6,8},{2,3,7},{4},{5}}=>{{1,3,6,7},{2,8},{4},{5}}=>{{1,3},{2,4,7,8},{5},{6}}=>{{1,2,5,7},{3},{4},{6,8}} {{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}} {{1,2,3,4,5,6,7,8,9,10}}=>{{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}} {{1,3,4,5,6,7,8,9},{2}}=>{{1,3,4,5,6,7,8,9},{2}}=>{{1,2,4,5,6,7,8,9},{3}}=>{{1,2,3,4,5,6,8,9},{7}} {{1,2,3,4,5,6,7,8},{9,10}}=>{{1,2,3,4,5,6,7,8},{9,10}}=>{{1,10},{2,3,4,5,6,7,8,9}}=>{{1,10},{2,3,4,5,6,7,8,9}} {{1,3,4,5,6,7,8,9,10},{2}}=>{{1,3,4,5,6,7,8,9,10},{2}}=>{{1,2,4,5,6,7,8,9,10},{3}}=>{{1,2,3,4,5,6,7,9,10},{8}} {{1,3},{2,4,5,6,7,8}}=>{{1,4,5,6,7,8},{2,3}}=>{{1,2,5,6,7,8},{3,4}}=>{{1,2,3,4,7,8},{5,6}} {{1,3},{2,4,5,6},{7,8}}=>{{1,4,5,6},{2,3},{7,8}}=>{{1,8},{2,5,6,7},{3,4}}=>{{1,8},{2,3,4,7},{5,6}} {{1,4},{2,3,5,6,7,8}}=>{{1,3,4},{2,5,6,7,8}}=>{{1,3,6,7,8},{2,4,5}}=>{{1,2,3,6,8},{4,5,7}} {{1,2,4},{3,5,6,7,8}}=>{{1,2,5,6,7,8},{3,4}}=>{{1,2,3,6,7,8},{4,5}}=>{{1,2,3,6,7,8},{4,5}} {{1,5},{2,3,4,6,7,8}}=>{{1,3,6,7,8},{2,4,5}}=>{{1,2,4,7,8},{3,5,6}}=>{{1,2,5,7,8},{3,4,6}} {{1,2,3,5},{4,6},{7,8}}=>{{1,2,3,6},{4,5},{7,8}}=>{{1,8},{2,3,4,7},{5,6}}=>{{1,8},{2,5,6,7},{3,4}} {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}} {{1,7,8,9},{2},{3},{4},{5},{6}}=>{{1,7,8,9},{2},{3},{4},{5},{6}}=>{{1,2,8,9},{3},{4},{5},{6},{7}}=>{{1,2,8,9},{3},{4},{5},{6},{7}} {{1,2,3,4,5,7},{6,8}}=>{{1,2,3,4,5,8},{6,7}}=>{{1,2,3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6,7,8}} {{1,2},{3,4,5,7},{6,8}}=>{{1,2},{3,4,5,8},{6,7}}=>{{1,4,5,6},{2,3},{7,8}}=>{{1,2},{3,4,5,8},{6,7}} {{1,2,3,4,6,7},{5,8}}=>{{1,2,3,4,7},{5,6,8}}=>{{1,6,7},{2,3,4,5,8}}=>{{1,4,5,6,7},{2,3,8}} {{1,2},{3,4,6,7},{5,8}}=>{{1,2},{3,4,7},{5,6,8}}=>{{1,6,7},{2,3},{4,5,8}}=>{{1,4,5},{2,3,8},{6,7}} {{1,2,3,4,5},{6,7,8,9,10}}=>{{1,2,3,4,5},{6,7,8,9,10}}=>{{1,7,8,9,10},{2,3,4,5,6}}=>{{1,2,3,4,10},{5,6,7,8,9}} {{1,2,3,4,6,8},{5,7}}=>{{1,2,3,4,8},{5,6,7}}=>{{1,2,3,4,5},{6,7,8}}=>{{1,2,3},{4,5,6,7,8}} {{1,3,5,6,7,8},{2,4}}=>{{1,5,6,7,8},{2,3,4}}=>{{1,2,6,7,8},{3,4,5}}=>{{1,2,3,7,8},{4,5,6}} {{1,2,4,7},{3,6},{5,8}}=>{{1,2,8},{3,4,7},{5,6}}=>{{1,2,3},{4,5,8},{6,7}}=>{{1,4,5},{2,3},{6,7,8}} {{1,2,4,5},{3,6},{7,8}}=>{{1,2,5},{3,4,6},{7,8}}=>{{1,8},{2,3,6},{4,5,7}}=>{{1,8},{2,4,5},{3,6,7}} {{1,3,4,6},{2,5},{7,8}}=>{{1,4,5},{2,3,6},{7,8}}=>{{1,8},{2,5,6},{3,4,7}}=>{{1,8},{2,5,6},{3,4,7}} {{1,3,4,7},{2,5},{6,8}}=>{{1,4,5},{2,3,8},{6,7}}=>{{1,3,4},{2,5,6},{7,8}}=>{{1,2},{3,4,7},{5,6,8}} {{1,3,4,6,7,8},{2,5}}=>{{1,4,5},{2,3,6,7,8}}=>{{1,3,4,7,8},{2,5,6}}=>{{1,2,5,6,8},{3,4,7}} {{1,3,4,5,7,8},{2,6}}=>{{1,4,7,8},{2,3,5,6}}=>{{1,2,5,8},{3,4,6,7}}=>{{1,4,7,8},{2,3,5,6}} {{1,3,4,7},{2,6},{5,8}}=>{{1,4,7},{2,3,8},{5,6}}=>{{1,3,4},{2,5,8},{6,7}}=>{{1,4,7},{2,3},{5,6,8}} {{1,4},{2,3,5,7},{6,8}}=>{{1,3,4},{2,5,8},{6,7}}=>{{1,3,6},{2,4,5},{7,8}}=>{{1,2},{3,6,8},{4,5,7}} {{1,3},{2,4,5,7},{6,8}}=>{{1,4,5,8},{2,3},{6,7}}=>{{1,2,5,6},{3,4},{7,8}}=>{{1,2},{3,4,7,8},{5,6}} {{1,3},{2,4,6,7},{5,8}}=>{{1,4,7},{2,3},{5,6,8}}=>{{1,6,7},{2,5,8},{3,4}}=>{{1,4,7},{2,3,8},{5,6}} {{1,4},{2,3,6,7},{5,8}}=>{{1,3,4},{2,7},{5,6,8}}=>{{1,6,7},{2,4,5},{3,8}}=>{{1,6},{2,3,8},{4,5,7}} {{1,2,3,5,6,7},{4,8}}=>{{1,2,3,6,8},{4,5,7}}=>{{1,2,3,4,7},{5,6,8}}=>{{1,3,4},{2,5,6,7,8}} {{1,3,5,7},{2,6},{4,8}}=>{{1,5,8},{2,3,7},{4,6}}=>{{1,2,6},{3,4,8},{5,7}}=>{{1,5,6},{2,4},{3,7,8}} {{1,2,5,6},{3,7},{4,8}}=>{{1,2,8},{3,6},{4,5,7}}=>{{1,2,3},{4,7},{5,6,8}}=>{{1,3,4},{2,5},{6,7,8}} {{1,2,4,5},{3,7},{6,8}}=>{{1,2,5},{3,4,8},{6,7}}=>{{1,4,5},{2,3,6},{7,8}}=>{{1,2},{3,6,7},{4,5,8}} {{1,2,3,6},{4,7},{5,8}}=>{{1,2,3,8},{4,7},{5,6}}=>{{1,2,3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6,7,8}} {{1,2,3,5},{4,7},{6,8}}=>{{1,2,3,8},{4,5},{6,7}}=>{{1,2,3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,7,8}} {{1,2,3,4},{5,7},{6,8}}=>{{1,2,3,4},{5,8},{6,7}}=>{{1,6},{2,3,4,5},{7,8}}=>{{1,2},{3,8},{4,5,6,7}} {{1,3},{2,4},{5,6,7,8}}=>{{1,4},{2,3},{5,6,7,8}}=>{{1,6,7,8},{2,5},{3,4}}=>{{1,2,3,8},{4,7},{5,6}} {{1,2,3,6},{4,5,7,8}}=>{{1,2,3,5,6},{4,7,8}}=>{{1,5,8},{2,3,4,6,7}}=>{{1,4,8},{2,3,5,6,7}} {{1,2,3,5,6,8},{4,7}}=>{{1,2,3,6,7},{4,5,8}}=>{{1,5,6},{2,3,4,7,8}}=>{{1,2,5,6,7},{3,4,8}} {{1,2,4,5,6,8},{3,7}}=>{{1,2,5,8},{3,4,6,7}}=>{{1,2,3,6},{4,5,7,8}}=>{{1,2,4,5},{3,6,7,8}} {{1,2,4,5},{3,6,7,8}}=>{{1,2,5},{3,4,6,7,8}}=>{{1,4,5,7,8},{2,3,6}}=>{{1,2,4,5,8},{3,6,7}} {{1,4},{2,5},{3,6,7,8}}=>{{1,6,7,8},{2,5},{3,4}}=>{{1,2,7,8},{3,6},{4,5}}=>{{1,2,7,8},{3,6},{4,5}} {{1,3},{2,5},{4,6,7,8}}=>{{1,6,7,8},{2,3},{4,5}}=>{{1,2,7,8},{3,4},{5,6}}=>{{1,2,7,8},{3,4},{5,6}} {{1,2},{3,5},{4,6,7,8}}=>{{1,2},{3,6,7,8},{4,5}}=>{{1,4,7,8},{2,3},{5,6}}=>{{1,2,5,8},{3,4},{6,7}} {{1,2},{3,6},{4,5,7,8}}=>{{1,2},{3,5,6},{4,7,8}}=>{{1,5,8},{2,3},{4,6,7}}=>{{1,4,8},{2,3,5},{6,7}} {{1,4,5,8},{2,6},{3,7}}=>{{1,8},{2,5,6},{3,4,7}}=>{{1,2},{3,6,7},{4,5,8}}=>{{1,4,5},{2,3,6},{7,8}} {{1,2},{3,5,6,8},{4,7}}=>{{1,2},{3,6,7},{4,5,8}}=>{{1,5,6},{2,3},{4,7,8}}=>{{1,2,5},{3,4,8},{6,7}} {{1,3},{2,5,6,8},{4,7}}=>{{1,6,7},{2,3},{4,5,8}}=>{{1,5,6},{2,7,8},{3,4}}=>{{1,2,7},{3,4,8},{5,6}} {{1,4,5,8},{2,3,6,7}}=>{{1,3,4,7},{2,5,6,8}}=>{{1,3,6,7},{2,4,5,8}}=>{{1,4,5,7},{2,3,6,8}} {{1,5,6},{2,3,4,7,8}}=>{{1,3,6},{2,4,5,7,8}}=>{{1,3,5,6,8},{2,4,7}}=>{{1,3,4,6,8},{2,5,7}} {{1,5,6,8},{2,3,4,7}}=>{{1,3,6,7},{2,4,5,8}}=>{{1,3,5,6},{2,4,7,8}}=>{{1,2,5,7},{3,4,6,8}} {{1},{2,5,6,7},{3,4,8}}=>{{1},{2,4,5,7},{3,6,8}}=>{{1,4,7},{2},{3,5,6,8}}=>{{1,3,4,6},{2,5,8},{7}} {{1,2,5,6,7},{3,4,8}}=>{{1,2,4,5,7},{3,6,8}}=>{{1,4,7},{2,3,5,6,8}}=>{{1,3,4,6,7},{2,5,8}} {{1,5,7},{2,3,4,8},{6}}=>{{1,3,7},{2,4,5,8},{6}}=>{{1,3,5,6},{2,4,8},{7}}=>{{1,5,7},{2},{3,4,6,8}} {{1,3,4,8},{2,5,6,7}}=>{{1,4,5,7},{2,3,6,8}}=>{{1,3,4,7},{2,5,6,8}}=>{{1,3,4,7},{2,5,6,8}} {{1,3,4,5,8},{2,6,7}}=>{{1,4,7},{2,3,5,6,8}}=>{{1,3,4,6,7},{2,5,8}}=>{{1,4,7},{2,3,5,6,8}} {{1,3,4,5,6,8},{2,7}}=>{{1,4,6,7},{2,3,5,8}}=>{{1,3,4,6},{2,5,7,8}}=>{{1,2,4,7},{3,5,6,8}} {{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,6},{4,5,7,8}}=>{{1,5,6,8},{2},{3,4,7}}=>{{1,3,4,8},{2,5,6},{7}} {{1,2,4,5,7,8},{3,6}}=>{{1,2,5,6},{3,4,7,8}}=>{{1,4,5,8},{2,3,6,7}}=>{{1,4,5,8},{2,3,6,7}} {{1,4,5,6,8},{2,3,7}}=>{{1,3,4,6,7},{2,5,8}}=>{{1,3,6},{2,4,5,7,8}}=>{{1,2,4,5,7},{3,6,8}} {{1},{2,3,7},{4,5,6,8}}=>{{1},{2,3,5,8},{4,6,7}}=>{{1,3,4,6},{2},{5,7,8}}=>{{1,2,4},{3,5,6,8},{7}} {{1,2,3,6,7},{4,5,8}}=>{{1,2,3,5,6,8},{4,7}}=>{{1,2,3,4,6,7},{5,8}}=>{{1,4},{2,3,5,6,7,8}} {{1,2,3,7},{4,5,6,8}}=>{{1,2,3,5,8},{4,6,7}}=>{{1,2,3,4,6},{5,7,8}}=>{{1,2,4},{3,5,6,7,8}} {{1,3,4,5,8},{2,7},{6}}=>{{1,4,8},{2,3,5,7},{6}}=>{{1,2,5},{3,4,6,8},{7}}=>{{1,3,5,6},{2},{4,7,8}} {{1,2,3,5,6,8,9,10},{4,7}}=>{{1,2,3,6,7},{4,5,8,9,10}}=>{{1,5,6,9,10},{2,3,4,7,8}}=>{{1,2,5,6,10},{3,4,7,8,9}} {{1,2,3,4,5,6},{7,8,9,10,11,12}}=>{{1,2,3,4,5,6},{7,8,9,10,11,12}}=>{{1,8,9,10,11,12},{2,3,4,5,6,7}}=>{{1,2,3,4,5,12},{6,7,8,9,10,11}} {{1,2,5,6,7,8,11,12},{3,4,9,10}}=>{{1,2,4,5,7,10},{3,6,8,9,11,12}}=>{{1,4,7,9,10,12},{2,3,5,6,8,11}}=>{{1,3,4,6,9,12},{2,5,7,8,10,11}} {{1,2,4,8},{3,5,6},{7}}=>{{1,2,6},{3,4,5,8},{7}}=>{{1,4,5,6},{2,3,7},{8}}=>{{1},{2,6,7},{3,4,5,8}} {{1,5,8},{2,3,4,6,7}}=>{{1,3,7},{2,4,5,6,8}}=>{{1,3,5,6,7},{2,4,8}}=>{{1,5,7},{2,3,4,6,8}} {{1,3,4},{2,5,6,7,8}}=>{{1,4},{2,3,5,6,7,8}}=>{{1,3,4,6,7,8},{2,5}}=>{{1,2,3,5,6,8},{4,7}} {{1,2,3,6,8},{4,5,7}}=>{{1,2,3,5,6,7},{4,8}}=>{{1,5},{2,3,4,6,7,8}}=>{{1,2,3,5,6,7},{4,8}} {{1,3,6,8},{2,4,5,7}}=>{{1,5,6,7},{2,3,4,8}}=>{{1,3,4,5},{2,6,7,8}}=>{{1,2,3,7},{4,5,6,8}} {{1,4,8},{2,3,5,7},{6}}=>{{1,3,4,5,8},{2,7},{6}}=>{{1,2,4,5,6},{3,8},{7}}=>{{1,6},{2},{3,4,5,7,8}} {{1,4,6,7,8},{2,3,5}}=>{{1,3,4,5},{2,6,7,8}}=>{{1,3,7,8},{2,4,5,6}}=>{{1,2,6,8},{3,4,5,7}} {{1,2,4,6,7,8},{3,5}}=>{{1,2,6,7,8},{3,4,5}}=>{{1,2,3,7,8},{4,5,6}}=>{{1,2,6,7,8},{3,4,5}} {{1,2,6,7},{3,4,5,8}}=>{{1,2,4,7},{3,5,6,8}}=>{{1,4,6,7},{2,3,5,8}}=>{{1,4,6,7},{2,3,5,8}} {{1,3,6,7,8},{2,4,5}}=>{{1,5},{2,3,4,6,7,8}}=>{{1,3,4,5,7,8},{2,6}}=>{{1,2,4,5,6,8},{3,7}} {{1,6},{2,3,4,5,7,8}}=>{{1,3,5,6},{2,4,7,8}}=>{{1,3,5,8},{2,4,6,7}}=>{{1,4,6,8},{2,3,5,7}} {{1,2,3,5,6},{4,7,8}}=>{{1,2,3,6},{4,5,7,8}}=>{{1,5,6,8},{2,3,4,7}}=>{{1,3,4,8},{2,5,6,7}} {{1,4,5,7,8},{2,3,6}}=>{{1,3,4,7,8},{2,5,6}}=>{{1,2,4,5,8},{3,6,7}}=>{{1,4,5,7,8},{2,3,6}} {{1,2,4,5,7},{3,6,8}}=>{{1,2,5,6,7},{3,4,8}}=>{{1,4,5},{2,3,6,7,8}}=>{{1,2,3,6,7},{4,5,8}} {{1,3,7},{2,4,5,8},{6}}=>{{1,5,7},{2,3,4,8},{6}}=>{{1,3,4,5},{2,6,8},{7}}=>{{1,3,7},{2},{4,5,6,8}} {{1,3,7},{2,4,5,6,8}}=>{{1,5,8},{2,3,4,6,7}}=>{{1,2,6},{3,4,5,7,8}}=>{{1,2,4,5,6},{3,7,8}} {{1,2,4,6,7},{3,5,8}}=>{{1,2,7},{3,4,5,6,8}}=>{{1,4,5,6,7},{2,3,8}}=>{{1,6,7},{2,3,4,5,8}} {{1,2,4,5,6,7},{3,8}}=>{{1,2,5,7},{3,4,6,8}}=>{{1,4,5,7},{2,3,6,8}}=>{{1,3,6,7},{2,4,5,8}} {{1,2,5,8},{3,4,6,7}}=>{{1,2,4,5,6,8},{3,7}}=>{{1,2,3,5,6,7},{4,8}}=>{{1,5},{2,3,4,6,7,8}} {{1,3},{2,4,5,6,8},{7}}=>{{1,4,5,6,8},{2,3},{7}}=>{{1,2,5,6,7},{3,4},{8}}=>{{1},{2,3,4,7,8},{5,6}} {{1,6,7},{2,3,4,5,8}}=>{{1,3,5,6,8},{2,4,7}}=>{{1,2,4,6,7},{3,5,8}}=>{{1,4,6},{2,3,5,7,8}} {{1,2,3,4,7},{5,6,8}}=>{{1,2,3,4,6,7},{5,8}}=>{{1,6},{2,3,4,5,7,8}}=>{{1,2,4,5,6,7},{3,8}} {{1,3,4,7,8},{2,5,6}}=>{{1,4,5,7,8},{2,3,6}}=>{{1,2,5,6,8},{3,4,7}}=>{{1,3,4,7,8},{2,5,6}} {{1,3,7},{2,4,8},{5,6}}=>{{1,8},{2,3,4,6},{5,7}}=>{{1,2},{3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6},{7,8}} {{1,2,5},{3,4,8},{6,7}}=>{{1,2,4,5},{3,7},{6,8}}=>{{1,7},{2,3,5,6},{4,8}}=>{{1,5},{2,8},{3,4,6,7}} {{1,2,3,5,8},{4,6,7}}=>{{1,2,3,7},{4,5,6,8}}=>{{1,5,6,7},{2,3,4,8}}=>{{1,5,6,7},{2,3,4,8}} {{1,2,6},{3,4,5,7,8}}=>{{1,2,4,7,8},{3,5,6}}=>{{1,2,3,5,8},{4,6,7}}=>{{1,4,6,7,8},{2,3,5}} {{1,2,5,7,8},{3,4,6}}=>{{1,2,4,5,6},{3,7,8}}=>{{1,4,8},{2,3,5,6,7}}=>{{1,5,8},{2,3,4,6,7}} {{1,7,8},{2,4},{3,5,6}}=>{{1,5,7,8},{2,6},{3,4}}=>{{1,2,6,8},{3,7},{4,5}}=>{{1,3,7,8},{2,6},{4,5}} {{1,3,4,5,7},{2,6},{8}}=>{{1,4,7},{2,3,5,6},{8}}=>{{1},{2,5,8},{3,4,6,7}}=>{{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},{2,8},{3,4,5,6,7}}=>{{1,7},{2,3,4,5,6},{8}} {{1,2,4,5,6},{3,7,8}}=>{{1,2,5,7,8},{3,4,6}}=>{{1,2,3,6,8},{4,5,7}}=>{{1,3,6,7,8},{2,4,5}} {{1,2,5,6},{3,7,8},{4}}=>{{1,2,6},{3,5,7,8},{4}}=>{{1,4,6,8},{2,3,7},{5}}=>{{1,3,5,8},{2,6,7},{4}} {{1,4,6},{2,3,7,8},{5}}=>{{1,3,4,7,8},{2,6},{5}}=>{{1,2,4,5,8},{3,7},{6}}=>{{1,4,5,7,8},{2,6},{3}} {{1,4,5,6},{2,3,7,8}}=>{{1,3,4,6},{2,5,7,8}}=>{{1,3,6,8},{2,4,5,7}}=>{{1,3,6,8},{2,4,5,7}} {{1,8},{2,3,4,6},{5,7}}=>{{1,3,7},{2,4,8},{5,6}}=>{{1,3,5},{2,4,8},{6,7}}=>{{1,5,7},{2,3},{4,6,8}} {{1,8},{2,3,5,6},{4,7}}=>{{1,3,7},{2,6},{4,5,8}}=>{{1,5,6},{2,4,8},{3,7}}=>{{1,5,7},{2,6},{3,4,8}} {{1,7},{2,3,4,5},{6,8}}=>{{1,3,5},{2,4,8},{6,7}}=>{{1,3,5},{2,4,6},{7,8}}=>{{1,2},{3,5,7},{4,6,8}} {{1,6,7,8},{2,4},{3,5}}=>{{1,5},{2,6,7,8},{3,4}}=>{{1,3,7,8},{2,6},{4,5}}=>{{1,2,6,8},{3,7},{4,5}} {{1,4,7,8},{2,3,5,6}}=>{{1,3,4,5,7,8},{2,6}}=>{{1,2,4,5,6,8},{3,7}}=>{{1,3,4,5,7,8},{2,6}} {{1,4,7,8},{2,5},{3,6}}=>{{1,7,8},{2,6},{3,4,5}}=>{{1,2,8},{3,7},{4,5,6}}=>{{1,7,8},{2,6},{3,4,5}} {{1,2,4,5,7},{3},{6,8}}=>{{1,2,4,5,8},{3},{6,7}}=>{{1,2,3,5,6},{4},{7,8}}=>{{1,2},{3,4,6,7,8},{5}} {{1,2,3,5,7},{4,6,8}}=>{{1,2,3,8},{4,5,6,7}}=>{{1,2,3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6,7,8}} {{1,3,4,5,6,7},{2,8}}=>{{1,4,6,8},{2,3,5,7}}=>{{1,2,5,7},{3,4,6,8}}=>{{1,3,5,6},{2,4,7,8}} {{1,2,3,5,7,8},{4,6}}=>{{1,2,3,7,8},{4,5,6}}=>{{1,2,3,4,8},{5,6,7}}=>{{1,5,6,7,8},{2,3,4}} {{1,2,5},{3,4,6},{7,8}}=>{{1,2,4,5},{3,6},{7,8}}=>{{1,8},{2,3,5,6},{4,7}}=>{{1,8},{2,5},{3,4,6,7}} {{1,2},{3,4,7},{5,6,8}}=>{{1,2},{3,4,6,7},{5,8}}=>{{1,6},{2,3},{4,5,7,8}}=>{{1,2,4,5},{3,8},{6,7}} {{1,4,7},{2,3},{5,6,8}}=>{{1,3},{2,4,6,7},{5,8}}=>{{1,6},{2,4},{3,5,7,8}}=>{{1,2,4,6},{3,8},{5,7}} {{1,2,5},{3,4,6,7,8}}=>{{1,2,4,5},{3,6,7,8}}=>{{1,4,7,8},{2,3,5,6}}=>{{1,2,5,8},{3,4,6,7}} {{1,3,4},{2,5,6},{7,8}}=>{{1,4},{2,3,5,6},{7,8}}=>{{1,8},{2,5},{3,4,6,7}}=>{{1,8},{2,3,5,6},{4,7}} {{1,3,4},{2,5,8},{6,7}}=>{{1,4},{2,3,5,7},{6,8}}=>{{1,7},{2,5},{3,4,6,8}}=>{{1,3,5,6},{2,8},{4,7}} {{1,3,4},{2,8},{5,6,7}}=>{{1,4},{2,3,6,8},{5,7}}=>{{1,3,4,7},{2,5},{6,8}}=>{{1,3},{2,5,6,8},{4,7}} {{1,3,6,7},{2,8},{4,5}}=>{{1,5},{2,3,6,8},{4,7}}=>{{1,3,4,7},{2,6},{5,8}}=>{{1,4},{2,5,6,8},{3,7}} {{1,2,7},{3,4,5,6,8}}=>{{1,2,4,6,7},{3,5,8}}=>{{1,4,6},{2,3,5,7,8}}=>{{1,2,4,6,7},{3,5,8}} {{1,2},{3,5,6},{4,7,8}}=>{{1,2},{3,6},{4,5,7,8}}=>{{1,5,6,8},{2,3},{4,7}}=>{{1,3,4,8},{2,5},{6,7}} {{1,5,6},{2,3},{4,7,8}}=>{{1,3},{2,6},{4,5,7,8}}=>{{1,5,6,8},{2,4},{3,7}}=>{{1,3,4,8},{2,6},{5,7}} {{1,3},{2,4,5,7,8},{6}}=>{{1,4,5,7,8},{2,3},{6}}=>{{1,2,5,6,8},{3,4},{7}}=>{{1,3,4,7,8},{2},{5,6}} {{1,5,8},{2,3,7},{4,6}}=>{{1,3,5,7},{2,6},{4,8}}=>{{1,5},{2,4,6,8},{3,7}}=>{{1,3,5,7},{2,6},{4,8}} {{1,5},{2},{3,4,6,7,8}}=>{{1,4,5},{2},{3,6,7,8}}=>{{1,4,7,8},{2,5,6},{3}}=>{{1,2,5,8},{3,4,7},{6}} {{1,2,6,8},{3,4,7},{5}}=>{{1,2,4,6,7},{3,8},{5}}=>{{1,4},{2,3,5,7,8},{6}}=>{{1,2,4,6,7},{3},{5,8}} {{1,8},{2,5,6},{3,4,7}}=>{{1,4,5,8},{2,6},{3,7}}=>{{1,2,5,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,4,7,8}} {{1,4,8},{2,3,5,6,7}}=>{{1,3,4,5,7},{2,6,8}}=>{{1,3,7},{2,4,5,6,8}}=>{{1,3,4,5,7},{2,6,8}} {{1,2,4,8},{3,5,6,7}}=>{{1,2,6,8},{3,4,5,7}}=>{{1,2,3,7},{4,5,6,8}}=>{{1,3,4,5},{2,6,7,8}} {{1,2,4,5,8},{3,6,7}}=>{{1,2,5,6,8},{3,4,7}}=>{{1,2,3,6,7},{4,5,8}}=>{{1,4,5},{2,3,6,7,8}} {{1,3,5,8},{2,7},{4},{6}}=>{{1,5,7},{2,3,8},{4},{6}}=>{{1,3,4},{2,6,8},{5},{7}}=>{{1,3,7},{2},{4},{5,6,8}} {{1,4,8},{2,5,6},{3},{7}}=>{{1,6},{2,4,5,8},{3},{7}}=>{{1,3,5,6},{2,7},{4},{8}}=>{{1},{2,7},{3,4,6,8},{5}} {{1,2,3,7},{4},{5,6,8}}=>{{1,2,3,6,7},{4},{5,8}}=>{{1,6},{2,3,4,7,8},{5}}=>{{1,2,5,6,7},{3,8},{4}} {{1,4,5},{2,3,6,7,8}}=>{{1,3,4,6,7,8},{2,5}}=>{{1,2,4,5,7,8},{3,6}}=>{{1,2,4,5,7,8},{3,6}} {{1,4,5},{2,3,6},{7,8}}=>{{1,3,4,6},{2,5},{7,8}}=>{{1,8},{2,4,5,7},{3,6}}=>{{1,8},{2,4,5,7},{3,6}} {{1,4,5},{2,3,8},{6,7}}=>{{1,3,4,7},{2,5},{6,8}}=>{{1,7},{2,4,5,8},{3,6}}=>{{1,4,5,7},{2,8},{3,6}} {{1,4,7},{2,3,8},{5,6}}=>{{1,3,4,7},{2,6},{5,8}}=>{{1,6},{2,4,5,8},{3,7}}=>{{1,4,5,7},{2,6},{3,8}} {{1,3,4},{2,7},{5,6,8}}=>{{1,4},{2,3,6,7},{5,8}}=>{{1,6},{2,5},{3,4,7,8}}=>{{1,2,5,6},{3,8},{4,7}} {{1,3,6,8},{2,7},{4,5}}=>{{1,5},{2,3,6,7},{4,8}}=>{{1,5},{2,6},{3,4,7,8}}=>{{1,2,5,6},{3,7},{4,8}} {{1,2},{3,6,7},{4,5,8}}=>{{1,2},{3,5,6,8},{4,7}}=>{{1,4,6,7},{2,3},{5,8}}=>{{1,4},{2,3,5,8},{6,7}} {{1,6,7},{2,3},{4,5,8}}=>{{1,3},{2,5,6,8},{4,7}}=>{{1,3,6,7},{2,4},{5,8}}=>{{1,4},{2,3,6,8},{5,7}} {{1,6,7},{2,5,8},{3,4}}=>{{1,4},{2,5,6,8},{3,7}}=>{{1,3,6,7},{2,5},{4,8}}=>{{1,5},{2,3,6,8},{4,7}} {{1,2,4,7,8},{3,5,6}}=>{{1,2,6},{3,4,5,7,8}}=>{{1,4,5,6,8},{2,3,7}}=>{{1,3,4,5,8},{2,6,7}} {{1,2,4},{3,6},{5,7,8}}=>{{1,2,7,8},{3,4},{5,6}}=>{{1,2,3,8},{4,5},{6,7}}=>{{1,6,7,8},{2,3},{4,5}} {{1,4,5,6,7},{2,8},{3}}=>{{1,5,7},{2,4,6,8},{3}}=>{{1,3,5,7},{2,6,8},{4}}=>{{1,3,7},{2,4,6,8},{5}} {{1,3,4,8},{2,7},{5,6}}=>{{1,4,6},{2,3,8},{5,7}}=>{{1,3,4},{2,5,7},{6,8}}=>{{1,3},{2,4,7},{5,6,8}} {{1,3,4,6},{2,8},{5,7}}=>{{1,4,8},{2,3,7},{5,6}}=>{{1,2,5},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,7,8}} {{1,2,6},{3,5,8},{4,7}}=>{{1,2,5,6},{3,8},{4,7}}=>{{1,4},{2,3,6,7},{5,8}}=>{{1,4},{2,3,6,7},{5,8}} {{1,3,5,6},{2,4,7,8}}=>{{1,6},{2,3,4,5,7,8}}=>{{1,3,4,5,6,8},{2,7}}=>{{1,3,4,5,6,8},{2,7}} {{1,2,4,7},{3,5,8},{6}}=>{{1,2,8},{3,4,5,7},{6}}=>{{1,2,3},{4,5,6,8},{7}}=>{{1,3,4,5},{2},{6,7,8}} {{1,2,5,7},{3,4,6,8}}=>{{1,2,4,5,6,7},{3,8}}=>{{1,4},{2,3,5,6,7,8}}=>{{1,2,3,4,6,7},{5,8}} {{1,2,4,7},{3,5,6,8}}=>{{1,2,6,7},{3,4,5,8}}=>{{1,4,5,6},{2,3,7,8}}=>{{1,2,6,7},{3,4,5,8}} {{1,2,5,8},{3,6},{4,7}}=>{{1,2,8},{3,7},{4,5,6}}=>{{1,2,3},{4,8},{5,6,7}}=>{{1,5},{2,3,4},{6,7,8}} {{1},{2,4,5,7},{3,6,8}}=>{{1},{2,5,6,7},{3,4,8}}=>{{1,4,5},{2},{3,6,7,8}}=>{{1,2,3,6},{4,5,8},{7}} {{1,3,5},{2,4,6,7,8}}=>{{1,6,7,8},{2,3,4,5}}=>{{1,2,7,8},{3,4,5,6}}=>{{1,2,7,8},{3,4,5,6}} {{1,3,6},{2,4,5,7,8}}=>{{1,5,6},{2,3,4,7,8}}=>{{1,3,4,5,8},{2,6,7}}=>{{1,4,5,6,8},{2,3,7}} {{1,2,6,8},{3},{4,5,7}}=>{{1,2,5,6,7},{3},{4,8}}=>{{1,5},{2,3,6,7,8},{4}}=>{{1,2,3,6,7},{4,8},{5}} {{1,3,5,6,8},{2,4},{7}}=>{{1,5,6,8},{2,3,4},{7}}=>{{1,2,6,7},{3,4,5},{8}}=>{{1},{2,3,7,8},{4,5,6}} {{1,3,5,6},{2,8},{4,7}}=>{{1,6},{2,3,7},{4,5,8}}=>{{1,5,6},{2,7},{3,4,8}}=>{{1,5,6},{2,7},{3,4,8}} {{1,3,5,8},{2,4,6,7}}=>{{1,7},{2,3,4,5,6,8}}=>{{1,3,4,5,6,7},{2,8}}=>{{1,7},{2,3,4,5,6,8}} {{1,4},{2,5,6,7},{3,8}}=>{{1,6,8},{2,5,7},{3,4}}=>{{1,2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7,8},{4,5}} {{1,3,4,5},{2,6,7,8}}=>{{1,4,6,7,8},{2,3,5}}=>{{1,2,5,7,8},{3,4,6}}=>{{1,2,4,7,8},{3,5,6}} {{1,2,5,6,7},{3,4,8,9,10}}=>{{1,2,4,5,7},{3,6,8,9,10}}=>{{1,4,7,9,10},{2,3,5,6,8}}=>{{1,2,4,7,10},{3,5,6,8,9}} {{1,2,4,5,7},{3,6,8,9,10}}=>{{1,2,5,6,7},{3,4,8,9,10}}=>{{1,4,5,9,10},{2,3,6,7,8}}=>{{1,2,6,7,10},{3,4,5,8,9}} {{1,2,3,7,8},{4,5,6,9,10}}=>{{1,2,3,5,8},{4,6,7,9,10}}=>{{1,5,7,8,10},{2,3,4,6,9}}=>{{1,3,4,6,10},{2,5,7,8,9}} {{1,2,3,5,6,8},{4,7,9,10,11,12}}=>{{1,2,3,6,7,8},{4,5,9,10,11,12}}=>{{1,5,6,10,11,12},{2,3,4,7,8,9}}=>{{1,2,3,7,8,12},{4,5,6,9,10,11}} {{1,2,3,4,8,9},{5,6,7,10,11,12}}=>{{1,2,3,4,6,9},{5,7,8,10,11,12}}=>{{1,6,8,9,11,12},{2,3,4,5,7,10}}=>{{1,2,4,5,7,12},{3,6,8,9,10,11}} {{1,2,3,4,6,8},{5,7,9}}=>{{1,2,3,4,9},{5,6,7,8}}=>{{1,2,3,4,5},{6,7,8,9}}=>{{1,2,3,4},{5,6,7,8,9}}
Map
Chen Deng Du Stanley Yan
Description
A map that swaps the crossing number and the nesting number of a set partition.
Map
rotate increasing
Description
The rotation of the set partition obtained by adding 1 to each entry different from the largest, and replacing the largest entry with 1.
Map
complement
Description
The complement of a set partition obtained by replacing $i$ with $n+1-i$.