Identifier
Images
=>
Cc0009;cc-rep-0Cc0009;cc-rep-1
{{1}}=>{{1}}
{{1,2}}=>{{1,2}}
{{1},{2}}=>{{1},{2}}
{{1,2,3}}=>{{1,3},{2}}
{{1,2},{3}}=>{{1,2},{3}}
{{1,3},{2}}=>{{1,2,3}}
{{1},{2,3}}=>{{1},{2,3}}
{{1},{2},{3}}=>{{1},{2},{3}}
{{1,2,3,4}}=>{{1,4},{2},{3}}
{{1,2,3},{4}}=>{{1,3},{2},{4}}
{{1,2,4},{3}}=>{{1,3,4},{2}}
{{1,2},{3,4}}=>{{1,2},{3,4}}
{{1,2},{3},{4}}=>{{1,2},{3},{4}}
{{1,3,4},{2}}=>{{1,2,4},{3}}
{{1,3},{2,4}}=>{{1,3},{2,4}}
{{1,3},{2},{4}}=>{{1,2,3},{4}}
{{1,4},{2,3}}=>{{1,4},{2,3}}
{{1},{2,3,4}}=>{{1},{2,3,4}}
{{1},{2,3},{4}}=>{{1},{2,3},{4}}
{{1,4},{2},{3}}=>{{1,2,3,4}}
{{1},{2,4},{3}}=>{{1},{2,4},{3}}
{{1},{2},{3,4}}=>{{1},{2},{3,4}}
{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
{{1,2,3,4,5}}=>{{1,5},{2},{3},{4}}
{{1,2,3,4},{5}}=>{{1,4},{2},{3},{5}}
{{1,2,3,5},{4}}=>{{1,4,5},{2},{3}}
{{1,2,3},{4,5}}=>{{1,3},{2},{4,5}}
{{1,2,3},{4},{5}}=>{{1,3},{2},{4},{5}}
{{1,2,4,5},{3}}=>{{1,3,4,5},{2}}
{{1,2,4},{3,5}}=>{{1,4},{2},{3,5}}
{{1,2,4},{3},{5}}=>{{1,3,4},{2},{5}}
{{1,2,5},{3,4}}=>{{1,5},{2},{3,4}}
{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
{{1,2,5},{3},{4}}=>{{1,3,5},{2},{4}}
{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
{{1,3,4,5},{2}}=>{{1,2,4,5},{3}}
{{1,3,4},{2,5}}=>{{1,4},{2,5},{3}}
{{1,3,4},{2},{5}}=>{{1,2,4},{3},{5}}
{{1,3,5},{2,4}}=>{{1,5},{2,4},{3}}
{{1,3},{2,4,5}}=>{{1,3},{2,4,5}}
{{1,3},{2,4},{5}}=>{{1,3},{2,4},{5}}
{{1,3,5},{2},{4}}=>{{1,2,5},{3},{4}}
{{1,3},{2,5},{4}}=>{{1,3},{2,5},{4}}
{{1,3},{2},{4,5}}=>{{1,2,3},{4,5}}
{{1,3},{2},{4},{5}}=>{{1,2,3},{4},{5}}
{{1,4,5},{2,3}}=>{{1,4,5},{2,3}}
{{1,4},{2,3,5}}=>{{1,4},{2,3,5}}
{{1,4},{2,3},{5}}=>{{1,4},{2,3},{5}}
{{1,5},{2,3,4}}=>{{1,5},{2,3,4}}
{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
{{1,5},{2,3},{4}}=>{{1,5},{2,3},{4}}
{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
{{1,4,5},{2},{3}}=>{{1,2,3,5},{4}}
{{1,4},{2,5},{3}}=>{{1,3,4},{2,5}}
{{1,4},{2},{3,5}}=>{{1,2,4},{3,5}}
{{1,4},{2},{3},{5}}=>{{1,2,3,4},{5}}
{{1,5},{2,4},{3}}=>{{1,3,5},{2,4}}
{{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}}
{{1},{2,4},{3,5}}=>{{1},{2,4},{3,5}}
{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
{{1,5},{2},{3,4}}=>{{1,2,5},{3,4}}
{{1},{2,5},{3,4}}=>{{1},{2,5},{3,4}}
{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
{{1,5},{2},{3},{4}}=>{{1,2,3,4,5}}
{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}
{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
{{1,2,3,4,5,6}}=>{{1,6},{2},{3},{4},{5}}
{{1,2,3,4,5},{6}}=>{{1,5},{2},{3},{4},{6}}
{{1,2,3,4,6},{5}}=>{{1,5,6},{2},{3},{4}}
{{1,2,3,4},{5,6}}=>{{1,4},{2},{3},{5,6}}
{{1,2,3,4},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
{{1,2,3,5,6},{4}}=>{{1,4,5,6},{2},{3}}
{{1,2,3,5},{4,6}}=>{{1,5},{2},{3},{4,6}}
{{1,2,3,5},{4},{6}}=>{{1,4,5},{2},{3},{6}}
{{1,2,3,6},{4,5}}=>{{1,6},{2},{3},{4,5}}
{{1,2,3},{4,5,6}}=>{{1,3},{2},{4,5,6}}
{{1,2,3},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
{{1,2,3,6},{4},{5}}=>{{1,4,6},{2},{3},{5}}
{{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
{{1,2,3},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
{{1,2,3},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
{{1,2,4,5,6},{3}}=>{{1,3,4,5,6},{2}}
{{1,2,4,5},{3,6}}=>{{1,5},{2},{3,6},{4}}
{{1,2,4,5},{3},{6}}=>{{1,3,4,5},{2},{6}}
{{1,2,4,6},{3,5}}=>{{1,6},{2},{3,5},{4}}
{{1,2,4},{3,5,6}}=>{{1,4},{2},{3,5,6}}
{{1,2,4},{3,5},{6}}=>{{1,4},{2},{3,5},{6}}
{{1,2,4,6},{3},{5}}=>{{1,3,4,6},{2},{5}}
{{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}
{{1,2,4},{3},{5,6}}=>{{1,3,4},{2},{5,6}}
{{1,2,4},{3},{5},{6}}=>{{1,3,4},{2},{5},{6}}
{{1,2,5,6},{3,4}}=>{{1,5,6},{2},{3,4}}
{{1,2,5},{3,4,6}}=>{{1,5},{2},{3,4,6}}
{{1,2,5},{3,4},{6}}=>{{1,5},{2},{3,4},{6}}
{{1,2,6},{3,4,5}}=>{{1,6},{2},{3,4,5}}
{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
{{1,2,6},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}
{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
{{1,2,5,6},{3},{4}}=>{{1,3,5,6},{2},{4}}
{{1,2,5},{3,6},{4}}=>{{1,4,5},{2},{3,6}}
{{1,2,5},{3},{4,6}}=>{{1,3,5},{2},{4,6}}
{{1,2,5},{3},{4},{6}}=>{{1,3,5},{2},{4},{6}}
{{1,2,6},{3,5},{4}}=>{{1,4,6},{2},{3,5}}
{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
{{1,2},{3,5},{4,6}}=>{{1,2},{3,5},{4,6}}
{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
{{1,2,6},{3},{4,5}}=>{{1,3,6},{2},{4,5}}
{{1,2},{3,6},{4,5}}=>{{1,2},{3,6},{4,5}}
{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
{{1,2,6},{3},{4},{5}}=>{{1,3,6},{2},{4},{5}}
{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
{{1,3,4,5,6},{2}}=>{{1,2,4,5,6},{3}}
{{1,3,4,5},{2,6}}=>{{1,5},{2,6},{3},{4}}
{{1,3,4,5},{2},{6}}=>{{1,2,4,5},{3},{6}}
{{1,3,4,6},{2,5}}=>{{1,6},{2,5},{3},{4}}
{{1,3,4},{2,5,6}}=>{{1,4},{2,5,6},{3}}
{{1,3,4},{2,5},{6}}=>{{1,4},{2,5},{3},{6}}
{{1,3,4,6},{2},{5}}=>{{1,2,4,6},{3},{5}}
{{1,3,4},{2,6},{5}}=>{{1,4},{2,6},{3},{5}}
{{1,3,4},{2},{5,6}}=>{{1,2,4},{3},{5,6}}
{{1,3,4},{2},{5},{6}}=>{{1,2,4},{3},{5},{6}}
{{1,3,5,6},{2,4}}=>{{1,5,6},{2,4},{3}}
{{1,3,5},{2,4,6}}=>{{1,5},{2,4,6},{3}}
{{1,3,5},{2,4},{6}}=>{{1,5},{2,4},{3},{6}}
{{1,3,6},{2,4,5}}=>{{1,6},{2,4,5},{3}}
{{1,3},{2,4,5,6}}=>{{1,3},{2,4,5,6}}
{{1,3},{2,4,5},{6}}=>{{1,3},{2,4,5},{6}}
{{1,3,6},{2,4},{5}}=>{{1,6},{2,4},{3},{5}}
{{1,3},{2,4,6},{5}}=>{{1,3},{2,4,6},{5}}
{{1,3},{2,4},{5,6}}=>{{1,3},{2,4},{5,6}}
{{1,3},{2,4},{5},{6}}=>{{1,3},{2,4},{5},{6}}
{{1,3,5,6},{2},{4}}=>{{1,2,5,6},{3},{4}}
{{1,3,5},{2,6},{4}}=>{{1,4,5},{2,6},{3}}
{{1,3,5},{2},{4,6}}=>{{1,2,5},{3},{4,6}}
{{1,3,5},{2},{4},{6}}=>{{1,2,5},{3},{4},{6}}
{{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}
{{1,3},{2,5,6},{4}}=>{{1,3},{2,5,6},{4}}
{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}
{{1,3},{2,5},{4},{6}}=>{{1,3},{2,5},{4},{6}}
{{1,3,6},{2},{4,5}}=>{{1,2,6},{3},{4,5}}
{{1,3},{2,6},{4,5}}=>{{1,3},{2,6},{4,5}}
{{1,3},{2},{4,5,6}}=>{{1,2,3},{4,5,6}}
{{1,3},{2},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
{{1,3,6},{2},{4},{5}}=>{{1,2,6},{3},{4},{5}}
{{1,3},{2,6},{4},{5}}=>{{1,3},{2,6},{4},{5}}
{{1,3},{2},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
{{1,3},{2},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
{{1,3},{2},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
{{1,4,5,6},{2,3}}=>{{1,4,5,6},{2,3}}
{{1,4,5},{2,3,6}}=>{{1,5},{2,3,6},{4}}
{{1,4,5},{2,3},{6}}=>{{1,4,5},{2,3},{6}}
{{1,4,6},{2,3,5}}=>{{1,6},{2,3,5},{4}}
{{1,4},{2,3,5,6}}=>{{1,4},{2,3,5,6}}
{{1,4},{2,3,5},{6}}=>{{1,4},{2,3,5},{6}}
{{1,4,6},{2,3},{5}}=>{{1,4,6},{2,3},{5}}
{{1,4},{2,3,6},{5}}=>{{1,4},{2,3,6},{5}}
{{1,4},{2,3},{5,6}}=>{{1,4},{2,3},{5,6}}
{{1,4},{2,3},{5},{6}}=>{{1,4},{2,3},{5},{6}}
{{1,5,6},{2,3,4}}=>{{1,5,6},{2,3,4}}
{{1,5},{2,3,4,6}}=>{{1,5},{2,3,4,6}}
{{1,5},{2,3,4},{6}}=>{{1,5},{2,3,4},{6}}
{{1,6},{2,3,4,5}}=>{{1,6},{2,3,4,5}}
{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
{{1,6},{2,3,4},{5}}=>{{1,6},{2,3,4},{5}}
{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
{{1,5,6},{2,3},{4}}=>{{1,5,6},{2,3},{4}}
{{1,5},{2,3,6},{4}}=>{{1,4,5},{2,3,6}}
{{1,5},{2,3},{4,6}}=>{{1,5},{2,3},{4,6}}
{{1,5},{2,3},{4},{6}}=>{{1,5},{2,3},{4},{6}}
{{1,6},{2,3,5},{4}}=>{{1,4,6},{2,3,5}}
{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
{{1},{2,3,5},{4,6}}=>{{1},{2,3,5},{4,6}}
{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
{{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}}
{{1},{2,3,6},{4,5}}=>{{1},{2,3,6},{4,5}}
{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
{{1,6},{2,3},{4},{5}}=>{{1,6},{2,3},{4},{5}}
{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
{{1,4,5,6},{2},{3}}=>{{1,2,3,5,6},{4}}
{{1,4,5},{2,6},{3}}=>{{1,3,5},{2,6},{4}}
{{1,4,5},{2},{3,6}}=>{{1,2,5},{3,6},{4}}
{{1,4,5},{2},{3},{6}}=>{{1,2,3,5},{4},{6}}
{{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}
{{1,4},{2,5,6},{3}}=>{{1,3,4},{2,5,6}}
{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}
{{1,4},{2,5},{3},{6}}=>{{1,3,4},{2,5},{6}}
{{1,4,6},{2},{3,5}}=>{{1,2,6},{3,5},{4}}
{{1,4},{2,6},{3,5}}=>{{1,4},{2,6},{3,5}}
{{1,4},{2},{3,5,6}}=>{{1,2,4},{3,5,6}}
{{1,4},{2},{3,5},{6}}=>{{1,2,4},{3,5},{6}}
{{1,4,6},{2},{3},{5}}=>{{1,2,3,6},{4},{5}}
{{1,4},{2,6},{3},{5}}=>{{1,3,4},{2,6},{5}}
{{1,4},{2},{3,6},{5}}=>{{1,2,4},{3,6},{5}}
{{1,4},{2},{3},{5,6}}=>{{1,2,3,4},{5,6}}
{{1,4},{2},{3},{5},{6}}=>{{1,2,3,4},{5},{6}}
{{1,5,6},{2,4},{3}}=>{{1,3,5,6},{2,4}}
{{1,5},{2,4,6},{3}}=>{{1,3,5},{2,4,6}}
{{1,5},{2,4},{3,6}}=>{{1,5},{2,4},{3,6}}
{{1,5},{2,4},{3},{6}}=>{{1,3,5},{2,4},{6}}
{{1,6},{2,4,5},{3}}=>{{1,3,6},{2,4,5}}
{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
{{1},{2,4,5},{3,6}}=>{{1},{2,4,5},{3,6}}
{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
{{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}
{{1},{2,4,6},{3,5}}=>{{1},{2,4,6},{3,5}}
{{1},{2,4},{3,5,6}}=>{{1},{2,4},{3,5,6}}
{{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}}
{{1,6},{2,4},{3},{5}}=>{{1,3,6},{2,4},{5}}
{{1},{2,4,6},{3},{5}}=>{{1},{2,4,6},{3},{5}}
{{1},{2,4},{3,6},{5}}=>{{1},{2,4},{3,6},{5}}
{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
{{1,5,6},{2},{3,4}}=>{{1,2,5,6},{3,4}}
{{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}
{{1,5},{2},{3,4,6}}=>{{1,2,5},{3,4,6}}
{{1,5},{2},{3,4},{6}}=>{{1,2,5},{3,4},{6}}
{{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}
{{1},{2,5,6},{3,4}}=>{{1},{2,5,6},{3,4}}
{{1},{2,5},{3,4,6}}=>{{1},{2,5},{3,4,6}}
{{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}}
{{1,6},{2},{3,4,5}}=>{{1,2,6},{3,4,5}}
{{1},{2,6},{3,4,5}}=>{{1},{2,6},{3,4,5}}
{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
{{1,6},{2},{3,4},{5}}=>{{1,2,6},{3,4},{5}}
{{1},{2,6},{3,4},{5}}=>{{1},{2,6},{3,4},{5}}
{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
{{1,5,6},{2},{3},{4}}=>{{1,2,3,4,6},{5}}
{{1,5},{2,6},{3},{4}}=>{{1,3,4,5},{2,6}}
{{1,5},{2},{3,6},{4}}=>{{1,2,4,5},{3,6}}
{{1,5},{2},{3},{4,6}}=>{{1,2,3,5},{4,6}}
{{1,5},{2},{3},{4},{6}}=>{{1,2,3,4,5},{6}}
{{1,6},{2,5},{3},{4}}=>{{1,3,4,6},{2,5}}
{{1},{2,5,6},{3},{4}}=>{{1},{2,5,6},{3},{4}}
{{1},{2,5},{3,6},{4}}=>{{1},{2,5},{3,6},{4}}
{{1},{2,5},{3},{4,6}}=>{{1},{2,5},{3},{4,6}}
{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
{{1,6},{2},{3,5},{4}}=>{{1,2,4,6},{3,5}}
{{1},{2,6},{3,5},{4}}=>{{1},{2,6},{3,5},{4}}
{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,5},{4,6}}
{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
{{1,6},{2},{3},{4,5}}=>{{1,2,3,6},{4,5}}
{{1},{2,6},{3},{4,5}}=>{{1},{2,6},{3},{4,5}}
{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,6},{4,5}}
{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
{{1,6},{2},{3},{4},{5}}=>{{1,2,3,4,5,6}}
{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
{{1,2,3,4,5,6,7}}=>{{1,7},{2},{3},{4},{5},{6}}
{{1,2,3,4,5,6},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
{{1,2,3,4,5,7},{6}}=>{{1,6,7},{2},{3},{4},{5}}
{{1,2,3,4,5},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
{{1,2,3,4,5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
{{1,2,3,4,6,7},{5}}=>{{1,5,6,7},{2},{3},{4}}
{{1,2,3,4,6},{5,7}}=>{{1,6},{2},{3},{4},{5,7}}
{{1,2,3,4,6},{5},{7}}=>{{1,5,6},{2},{3},{4},{7}}
{{1,2,3,4,7},{5,6}}=>{{1,7},{2},{3},{4},{5,6}}
{{1,2,3,4},{5,6,7}}=>{{1,4},{2},{3},{5,6,7}}
{{1,2,3,4},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}
{{1,2,3,4,7},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}
{{1,2,3,4},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
{{1,2,3,4},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}
{{1,2,3,4},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}
{{1,2,3,5,6,7},{4}}=>{{1,4,5,6,7},{2},{3}}
{{1,2,3,5,6},{4,7}}=>{{1,6},{2},{3},{4,7},{5}}
{{1,2,3,5,6},{4},{7}}=>{{1,4,5,6},{2},{3},{7}}
{{1,2,3,5,7},{4,6}}=>{{1,7},{2},{3},{4,6},{5}}
{{1,2,3,5},{4,6,7}}=>{{1,5},{2},{3},{4,6,7}}
{{1,2,3,5},{4,6},{7}}=>{{1,5},{2},{3},{4,6},{7}}
{{1,2,3,5,7},{4},{6}}=>{{1,4,5,7},{2},{3},{6}}
{{1,2,3,5},{4,7},{6}}=>{{1,5},{2},{3},{4,7},{6}}
{{1,2,3,5},{4},{6,7}}=>{{1,4,5},{2},{3},{6,7}}
{{1,2,3,5},{4},{6},{7}}=>{{1,4,5},{2},{3},{6},{7}}
{{1,2,3,6,7},{4,5}}=>{{1,6,7},{2},{3},{4,5}}
{{1,2,3,6},{4,5,7}}=>{{1,6},{2},{3},{4,5,7}}
{{1,2,3,6},{4,5},{7}}=>{{1,6},{2},{3},{4,5},{7}}
{{1,2,3,7},{4,5,6}}=>{{1,7},{2},{3},{4,5,6}}
{{1,2,3},{4,5,6,7}}=>{{1,3},{2},{4,5,6,7}}
{{1,2,3},{4,5,6},{7}}=>{{1,3},{2},{4,5,6},{7}}
{{1,2,3,7},{4,5},{6}}=>{{1,7},{2},{3},{4,5},{6}}
{{1,2,3},{4,5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}
{{1,2,3},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}
{{1,2,3},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}
{{1,2,3,6,7},{4},{5}}=>{{1,4,6,7},{2},{3},{5}}
{{1,2,3,6},{4,7},{5}}=>{{1,5,6},{2},{3},{4,7}}
{{1,2,3,6},{4},{5,7}}=>{{1,4,6},{2},{3},{5,7}}
{{1,2,3,6},{4},{5},{7}}=>{{1,4,6},{2},{3},{5},{7}}
{{1,2,3,7},{4,6},{5}}=>{{1,5,7},{2},{3},{4,6}}
{{1,2,3},{4,6,7},{5}}=>{{1,3},{2},{4,6,7},{5}}
{{1,2,3},{4,6},{5,7}}=>{{1,3},{2},{4,6},{5,7}}
{{1,2,3},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
{{1,2,3,7},{4},{5,6}}=>{{1,4,7},{2},{3},{5,6}}
{{1,2,3},{4,7},{5,6}}=>{{1,3},{2},{4,7},{5,6}}
{{1,2,3},{4},{5,6,7}}=>{{1,3},{2},{4},{5,6,7}}
{{1,2,3},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}
{{1,2,3,7},{4},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
{{1,2,3},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
{{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
{{1,2,3},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}
{{1,2,3},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}
{{1,2,4,5,6,7},{3}}=>{{1,3,4,5,6,7},{2}}
{{1,2,4,5,6},{3,7}}=>{{1,6},{2},{3,7},{4},{5}}
{{1,2,4,5,6},{3},{7}}=>{{1,3,4,5,6},{2},{7}}
{{1,2,4,5,7},{3,6}}=>{{1,7},{2},{3,6},{4},{5}}
{{1,2,4,5},{3,6,7}}=>{{1,5},{2},{3,6,7},{4}}
{{1,2,4,5},{3,6},{7}}=>{{1,5},{2},{3,6},{4},{7}}
{{1,2,4,5,7},{3},{6}}=>{{1,3,4,5,7},{2},{6}}
{{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,7},{4},{6}}
{{1,2,4,5},{3},{6,7}}=>{{1,3,4,5},{2},{6,7}}
{{1,2,4,5},{3},{6},{7}}=>{{1,3,4,5},{2},{6},{7}}
{{1,2,4,6,7},{3,5}}=>{{1,6,7},{2},{3,5},{4}}
{{1,2,4,6},{3,5,7}}=>{{1,6},{2},{3,5,7},{4}}
{{1,2,4,6},{3,5},{7}}=>{{1,6},{2},{3,5},{4},{7}}
{{1,2,4,7},{3,5,6}}=>{{1,7},{2},{3,5,6},{4}}
{{1,2,4},{3,5,6,7}}=>{{1,4},{2},{3,5,6,7}}
{{1,2,4},{3,5,6},{7}}=>{{1,4},{2},{3,5,6},{7}}
{{1,2,4,7},{3,5},{6}}=>{{1,7},{2},{3,5},{4},{6}}
{{1,2,4},{3,5,7},{6}}=>{{1,4},{2},{3,5,7},{6}}
{{1,2,4},{3,5},{6,7}}=>{{1,4},{2},{3,5},{6,7}}
{{1,2,4},{3,5},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}
{{1,2,4,6,7},{3},{5}}=>{{1,3,4,6,7},{2},{5}}
{{1,2,4,6},{3,7},{5}}=>{{1,5,6},{2},{3,7},{4}}
{{1,2,4,6},{3},{5,7}}=>{{1,3,4,6},{2},{5,7}}
{{1,2,4,6},{3},{5},{7}}=>{{1,3,4,6},{2},{5},{7}}
{{1,2,4,7},{3,6},{5}}=>{{1,5,7},{2},{3,6},{4}}
{{1,2,4},{3,6,7},{5}}=>{{1,4},{2},{3,6,7},{5}}
{{1,2,4},{3,6},{5,7}}=>{{1,4},{2},{3,6},{5,7}}
{{1,2,4},{3,6},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
{{1,2,4,7},{3},{5,6}}=>{{1,3,4,7},{2},{5,6}}
{{1,2,4},{3,7},{5,6}}=>{{1,4},{2},{3,7},{5,6}}
{{1,2,4},{3},{5,6,7}}=>{{1,3,4},{2},{5,6,7}}
{{1,2,4},{3},{5,6},{7}}=>{{1,3,4},{2},{5,6},{7}}
{{1,2,4,7},{3},{5},{6}}=>{{1,3,4,7},{2},{5},{6}}
{{1,2,4},{3,7},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
{{1,2,4},{3},{5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}
{{1,2,4},{3},{5},{6,7}}=>{{1,3,4},{2},{5},{6,7}}
{{1,2,4},{3},{5},{6},{7}}=>{{1,3,4},{2},{5},{6},{7}}
{{1,2,5,6,7},{3,4}}=>{{1,5,6,7},{2},{3,4}}
{{1,2,5,6},{3,4,7}}=>{{1,6},{2},{3,4,7},{5}}
{{1,2,5,6},{3,4},{7}}=>{{1,5,6},{2},{3,4},{7}}
{{1,2,5,7},{3,4,6}}=>{{1,7},{2},{3,4,6},{5}}
{{1,2,5},{3,4,6,7}}=>{{1,5},{2},{3,4,6,7}}
{{1,2,5},{3,4,6},{7}}=>{{1,5},{2},{3,4,6},{7}}
{{1,2,5,7},{3,4},{6}}=>{{1,5,7},{2},{3,4},{6}}
{{1,2,5},{3,4,7},{6}}=>{{1,5},{2},{3,4,7},{6}}
{{1,2,5},{3,4},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
{{1,2,5},{3,4},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
{{1,2,6,7},{3,4,5}}=>{{1,6,7},{2},{3,4,5}}
{{1,2,6},{3,4,5,7}}=>{{1,6},{2},{3,4,5,7}}
{{1,2,6},{3,4,5},{7}}=>{{1,6},{2},{3,4,5},{7}}
{{1,2,7},{3,4,5,6}}=>{{1,7},{2},{3,4,5,6}}
{{1,2},{3,4,5,6,7}}=>{{1,2},{3,4,5,6,7}}
{{1,2},{3,4,5,6},{7}}=>{{1,2},{3,4,5,6},{7}}
{{1,2,7},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}
{{1,2},{3,4,5,7},{6}}=>{{1,2},{3,4,5,7},{6}}
{{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}}
{{1,2},{3,4,5},{6},{7}}=>{{1,2},{3,4,5},{6},{7}}
{{1,2,6,7},{3,4},{5}}=>{{1,6,7},{2},{3,4},{5}}
{{1,2,6},{3,4,7},{5}}=>{{1,5,6},{2},{3,4,7}}
{{1,2,6},{3,4},{5,7}}=>{{1,6},{2},{3,4},{5,7}}
{{1,2,6},{3,4},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
{{1,2,7},{3,4,6},{5}}=>{{1,5,7},{2},{3,4,6}}
{{1,2},{3,4,6,7},{5}}=>{{1,2},{3,4,6,7},{5}}
{{1,2},{3,4,6},{5,7}}=>{{1,2},{3,4,6},{5,7}}
{{1,2},{3,4,6},{5},{7}}=>{{1,2},{3,4,6},{5},{7}}
{{1,2,7},{3,4},{5,6}}=>{{1,7},{2},{3,4},{5,6}}
{{1,2},{3,4,7},{5,6}}=>{{1,2},{3,4,7},{5,6}}
{{1,2},{3,4},{5,6,7}}=>{{1,2},{3,4},{5,6,7}}
{{1,2},{3,4},{5,6},{7}}=>{{1,2},{3,4},{5,6},{7}}
{{1,2,7},{3,4},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
{{1,2},{3,4,7},{5},{6}}=>{{1,2},{3,4,7},{5},{6}}
{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}
{{1,2},{3,4},{5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}
{{1,2},{3,4},{5},{6},{7}}=>{{1,2},{3,4},{5},{6},{7}}
{{1,2,5,6,7},{3},{4}}=>{{1,3,5,6,7},{2},{4}}
{{1,2,5,6},{3,7},{4}}=>{{1,4,5,6},{2},{3,7}}
{{1,2,5,6},{3},{4,7}}=>{{1,3,5,6},{2},{4,7}}
{{1,2,5,6},{3},{4},{7}}=>{{1,3,5,6},{2},{4},{7}}
{{1,2,5,7},{3,6},{4}}=>{{1,4,5,7},{2},{3,6}}
{{1,2,5},{3,6,7},{4}}=>{{1,4,5},{2},{3,6,7}}
{{1,2,5},{3,6},{4,7}}=>{{1,5},{2},{3,6},{4,7}}
{{1,2,5},{3,6},{4},{7}}=>{{1,4,5},{2},{3,6},{7}}
{{1,2,5,7},{3},{4,6}}=>{{1,3,5,7},{2},{4,6}}
{{1,2,5},{3,7},{4,6}}=>{{1,5},{2},{3,7},{4,6}}
{{1,2,5},{3},{4,6,7}}=>{{1,3,5},{2},{4,6,7}}
{{1,2,5},{3},{4,6},{7}}=>{{1,3,5},{2},{4,6},{7}}
{{1,2,5,7},{3},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
{{1,2,5},{3,7},{4},{6}}=>{{1,4,5},{2},{3,7},{6}}
{{1,2,5},{3},{4,7},{6}}=>{{1,3,5},{2},{4,7},{6}}
{{1,2,5},{3},{4},{6,7}}=>{{1,3,5},{2},{4},{6,7}}
{{1,2,5},{3},{4},{6},{7}}=>{{1,3,5},{2},{4},{6},{7}}
{{1,2,6,7},{3,5},{4}}=>{{1,4,6,7},{2},{3,5}}
{{1,2,6},{3,5,7},{4}}=>{{1,4,6},{2},{3,5,7}}
{{1,2,6},{3,5},{4,7}}=>{{1,6},{2},{3,5},{4,7}}
{{1,2,6},{3,5},{4},{7}}=>{{1,4,6},{2},{3,5},{7}}
{{1,2,7},{3,5,6},{4}}=>{{1,4,7},{2},{3,5,6}}
{{1,2},{3,5,6,7},{4}}=>{{1,2},{3,5,6,7},{4}}
{{1,2},{3,5,6},{4,7}}=>{{1,2},{3,5,6},{4,7}}
{{1,2},{3,5,6},{4},{7}}=>{{1,2},{3,5,6},{4},{7}}
{{1,2,7},{3,5},{4,6}}=>{{1,7},{2},{3,5},{4,6}}
{{1,2},{3,5,7},{4,6}}=>{{1,2},{3,5,7},{4,6}}
{{1,2},{3,5},{4,6,7}}=>{{1,2},{3,5},{4,6,7}}
{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,5},{4,6},{7}}
{{1,2,7},{3,5},{4},{6}}=>{{1,4,7},{2},{3,5},{6}}
{{1,2},{3,5,7},{4},{6}}=>{{1,2},{3,5,7},{4},{6}}
{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,5},{4,7},{6}}
{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}
{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}
{{1,2,6,7},{3},{4,5}}=>{{1,3,6,7},{2},{4,5}}
{{1,2,6},{3,7},{4,5}}=>{{1,6},{2},{3,7},{4,5}}
{{1,2,6},{3},{4,5,7}}=>{{1,3,6},{2},{4,5,7}}
{{1,2,6},{3},{4,5},{7}}=>{{1,3,6},{2},{4,5},{7}}
{{1,2,7},{3,6},{4,5}}=>{{1,7},{2},{3,6},{4,5}}
{{1,2},{3,6,7},{4,5}}=>{{1,2},{3,6,7},{4,5}}
{{1,2},{3,6},{4,5,7}}=>{{1,2},{3,6},{4,5,7}}
{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,6},{4,5},{7}}
{{1,2,7},{3},{4,5,6}}=>{{1,3,7},{2},{4,5,6}}
{{1,2},{3,7},{4,5,6}}=>{{1,2},{3,7},{4,5,6}}
{{1,2},{3},{4,5,6,7}}=>{{1,2},{3},{4,5,6,7}}
{{1,2},{3},{4,5,6},{7}}=>{{1,2},{3},{4,5,6},{7}}
{{1,2,7},{3},{4,5},{6}}=>{{1,3,7},{2},{4,5},{6}}
{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,7},{4,5},{6}}
{{1,2},{3},{4,5,7},{6}}=>{{1,2},{3},{4,5,7},{6}}
{{1,2},{3},{4,5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}
{{1,2},{3},{4,5},{6},{7}}=>{{1,2},{3},{4,5},{6},{7}}
{{1,2,6,7},{3},{4},{5}}=>{{1,3,6,7},{2},{4},{5}}
{{1,2,6},{3,7},{4},{5}}=>{{1,4,6},{2},{3,7},{5}}
{{1,2,6},{3},{4,7},{5}}=>{{1,3,6},{2},{4,7},{5}}
{{1,2,6},{3},{4},{5,7}}=>{{1,3,6},{2},{4},{5,7}}
{{1,2,6},{3},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7}}
{{1,2,7},{3,6},{4},{5}}=>{{1,4,7},{2},{3,6},{5}}
{{1,2},{3,6,7},{4},{5}}=>{{1,2},{3,6,7},{4},{5}}
{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,6},{4,7},{5}}
{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,6},{4},{5,7}}
{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}
{{1,2,7},{3},{4,6},{5}}=>{{1,3,7},{2},{4,6},{5}}
{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,7},{4,6},{5}}
{{1,2},{3},{4,6,7},{5}}=>{{1,2},{3},{4,6,7},{5}}
{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,6},{5,7}}
{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}
{{1,2,7},{3},{4},{5,6}}=>{{1,3,7},{2},{4},{5,6}}
{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,7},{4},{5,6}}
{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,7},{5,6}}
{{1,2},{3},{4},{5,6,7}}=>{{1,2},{3},{4},{5,6,7}}
{{1,2},{3},{4},{5,6},{7}}=>{{1,2},{3},{4},{5,6},{7}}
{{1,2,7},{3},{4},{5},{6}}=>{{1,3,7},{2},{4},{5},{6}}
{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}
{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}
{{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}
{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
{{1,3,4,5,6,7},{2}}=>{{1,2,4,5,6,7},{3}}
{{1,3,4,5,6},{2,7}}=>{{1,6},{2,7},{3},{4},{5}}
{{1,3,4,5,6},{2},{7}}=>{{1,2,4,5,6},{3},{7}}
{{1,3,4,5,7},{2,6}}=>{{1,7},{2,6},{3},{4},{5}}
{{1,3,4,5},{2,6,7}}=>{{1,5},{2,6,7},{3},{4}}
{{1,3,4,5},{2,6},{7}}=>{{1,5},{2,6},{3},{4},{7}}
{{1,3,4,5,7},{2},{6}}=>{{1,2,4,5,7},{3},{6}}
{{1,3,4,5},{2,7},{6}}=>{{1,5},{2,7},{3},{4},{6}}
{{1,3,4,5},{2},{6,7}}=>{{1,2,4,5},{3},{6,7}}
{{1,3,4,5},{2},{6},{7}}=>{{1,2,4,5},{3},{6},{7}}
{{1,3,4,6,7},{2,5}}=>{{1,6,7},{2,5},{3},{4}}
{{1,3,4,6},{2,5,7}}=>{{1,6},{2,5,7},{3},{4}}
{{1,3,4,6},{2,5},{7}}=>{{1,6},{2,5},{3},{4},{7}}
{{1,3,4,7},{2,5,6}}=>{{1,7},{2,5,6},{3},{4}}
{{1,3,4},{2,5,6,7}}=>{{1,4},{2,5,6,7},{3}}
{{1,3,4},{2,5,6},{7}}=>{{1,4},{2,5,6},{3},{7}}
{{1,3,4,7},{2,5},{6}}=>{{1,7},{2,5},{3},{4},{6}}
{{1,3,4},{2,5,7},{6}}=>{{1,4},{2,5,7},{3},{6}}
{{1,3,4},{2,5},{6,7}}=>{{1,4},{2,5},{3},{6,7}}
{{1,3,4},{2,5},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}
{{1,3,4,6,7},{2},{5}}=>{{1,2,4,6,7},{3},{5}}
{{1,3,4,6},{2,7},{5}}=>{{1,5,6},{2,7},{3},{4}}
{{1,3,4,6},{2},{5,7}}=>{{1,2,4,6},{3},{5,7}}
{{1,3,4,6},{2},{5},{7}}=>{{1,2,4,6},{3},{5},{7}}
{{1,3,4,7},{2,6},{5}}=>{{1,5,7},{2,6},{3},{4}}
{{1,3,4},{2,6,7},{5}}=>{{1,4},{2,6,7},{3},{5}}
{{1,3,4},{2,6},{5,7}}=>{{1,4},{2,6},{3},{5,7}}
{{1,3,4},{2,6},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
{{1,3,4,7},{2},{5,6}}=>{{1,2,4,7},{3},{5,6}}
{{1,3,4},{2,7},{5,6}}=>{{1,4},{2,7},{3},{5,6}}
{{1,3,4},{2},{5,6,7}}=>{{1,2,4},{3},{5,6,7}}
{{1,3,4},{2},{5,6},{7}}=>{{1,2,4},{3},{5,6},{7}}
{{1,3,4,7},{2},{5},{6}}=>{{1,2,4,7},{3},{5},{6}}
{{1,3,4},{2,7},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
{{1,3,4},{2},{5,7},{6}}=>{{1,2,4},{3},{5,7},{6}}
{{1,3,4},{2},{5},{6,7}}=>{{1,2,4},{3},{5},{6,7}}
{{1,3,4},{2},{5},{6},{7}}=>{{1,2,4},{3},{5},{6},{7}}
{{1,3,5,6,7},{2,4}}=>{{1,5,6,7},{2,4},{3}}
{{1,3,5,6},{2,4,7}}=>{{1,6},{2,4,7},{3},{5}}
{{1,3,5,6},{2,4},{7}}=>{{1,5,6},{2,4},{3},{7}}
{{1,3,5,7},{2,4,6}}=>{{1,7},{2,4,6},{3},{5}}
{{1,3,5},{2,4,6,7}}=>{{1,5},{2,4,6,7},{3}}
{{1,3,5},{2,4,6},{7}}=>{{1,5},{2,4,6},{3},{7}}
{{1,3,5,7},{2,4},{6}}=>{{1,5,7},{2,4},{3},{6}}
{{1,3,5},{2,4,7},{6}}=>{{1,5},{2,4,7},{3},{6}}
{{1,3,5},{2,4},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
{{1,3,5},{2,4},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
{{1,3,6,7},{2,4,5}}=>{{1,6,7},{2,4,5},{3}}
{{1,3,6},{2,4,5,7}}=>{{1,6},{2,4,5,7},{3}}
{{1,3,6},{2,4,5},{7}}=>{{1,6},{2,4,5},{3},{7}}
{{1,3,7},{2,4,5,6}}=>{{1,7},{2,4,5,6},{3}}
{{1,3},{2,4,5,6,7}}=>{{1,3},{2,4,5,6,7}}
{{1,3},{2,4,5,6},{7}}=>{{1,3},{2,4,5,6},{7}}
{{1,3,7},{2,4,5},{6}}=>{{1,7},{2,4,5},{3},{6}}
{{1,3},{2,4,5,7},{6}}=>{{1,3},{2,4,5,7},{6}}
{{1,3},{2,4,5},{6,7}}=>{{1,3},{2,4,5},{6,7}}
{{1,3},{2,4,5},{6},{7}}=>{{1,3},{2,4,5},{6},{7}}
{{1,3,6,7},{2,4},{5}}=>{{1,6,7},{2,4},{3},{5}}
{{1,3,6},{2,4,7},{5}}=>{{1,5,6},{2,4,7},{3}}
{{1,3,6},{2,4},{5,7}}=>{{1,6},{2,4},{3},{5,7}}
{{1,3,6},{2,4},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
{{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}
{{1,3},{2,4,6,7},{5}}=>{{1,3},{2,4,6,7},{5}}
{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}
{{1,3},{2,4,6},{5},{7}}=>{{1,3},{2,4,6},{5},{7}}
{{1,3,7},{2,4},{5,6}}=>{{1,7},{2,4},{3},{5,6}}
{{1,3},{2,4,7},{5,6}}=>{{1,3},{2,4,7},{5,6}}
{{1,3},{2,4},{5,6,7}}=>{{1,3},{2,4},{5,6,7}}
{{1,3},{2,4},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}
{{1,3,7},{2,4},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
{{1,3},{2,4,7},{5},{6}}=>{{1,3},{2,4,7},{5},{6}}
{{1,3},{2,4},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}
{{1,3},{2,4},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}
{{1,3},{2,4},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}
{{1,3,5,6,7},{2},{4}}=>{{1,2,5,6,7},{3},{4}}
{{1,3,5,6},{2,7},{4}}=>{{1,4,5,6},{2,7},{3}}
{{1,3,5,6},{2},{4,7}}=>{{1,2,5,6},{3},{4,7}}
{{1,3,5,6},{2},{4},{7}}=>{{1,2,5,6},{3},{4},{7}}
{{1,3,5,7},{2,6},{4}}=>{{1,4,5,7},{2,6},{3}}
{{1,3,5},{2,6,7},{4}}=>{{1,4,5},{2,6,7},{3}}
{{1,3,5},{2,6},{4,7}}=>{{1,5},{2,6},{3},{4,7}}
{{1,3,5},{2,6},{4},{7}}=>{{1,4,5},{2,6},{3},{7}}
{{1,3,5,7},{2},{4,6}}=>{{1,2,5,7},{3},{4,6}}
{{1,3,5},{2,7},{4,6}}=>{{1,5},{2,7},{3},{4,6}}
{{1,3,5},{2},{4,6,7}}=>{{1,2,5},{3},{4,6,7}}
{{1,3,5},{2},{4,6},{7}}=>{{1,2,5},{3},{4,6},{7}}
{{1,3,5,7},{2},{4},{6}}=>{{1,2,5,7},{3},{4},{6}}
{{1,3,5},{2,7},{4},{6}}=>{{1,4,5},{2,7},{3},{6}}
{{1,3,5},{2},{4,7},{6}}=>{{1,2,5},{3},{4,7},{6}}
{{1,3,5},{2},{4},{6,7}}=>{{1,2,5},{3},{4},{6,7}}
{{1,3,5},{2},{4},{6},{7}}=>{{1,2,5},{3},{4},{6},{7}}
{{1,3,6,7},{2,5},{4}}=>{{1,4,6,7},{2,5},{3}}
{{1,3,6},{2,5,7},{4}}=>{{1,4,6},{2,5,7},{3}}
{{1,3,6},{2,5},{4,7}}=>{{1,6},{2,5},{3},{4,7}}
{{1,3,6},{2,5},{4},{7}}=>{{1,4,6},{2,5},{3},{7}}
{{1,3,7},{2,5,6},{4}}=>{{1,4,7},{2,5,6},{3}}
{{1,3},{2,5,6,7},{4}}=>{{1,3},{2,5,6,7},{4}}
{{1,3},{2,5,6},{4,7}}=>{{1,3},{2,5,6},{4,7}}
{{1,3},{2,5,6},{4},{7}}=>{{1,3},{2,5,6},{4},{7}}
{{1,3,7},{2,5},{4,6}}=>{{1,7},{2,5},{3},{4,6}}
{{1,3},{2,5,7},{4,6}}=>{{1,3},{2,5,7},{4,6}}
{{1,3},{2,5},{4,6,7}}=>{{1,3},{2,5},{4,6,7}}
{{1,3},{2,5},{4,6},{7}}=>{{1,3},{2,5},{4,6},{7}}
{{1,3,7},{2,5},{4},{6}}=>{{1,4,7},{2,5},{3},{6}}
{{1,3},{2,5,7},{4},{6}}=>{{1,3},{2,5,7},{4},{6}}
{{1,3},{2,5},{4,7},{6}}=>{{1,3},{2,5},{4,7},{6}}
{{1,3},{2,5},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}
{{1,3},{2,5},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}
{{1,3,6,7},{2},{4,5}}=>{{1,2,6,7},{3},{4,5}}
{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,7},{3},{4,5}}
{{1,3,6},{2},{4,5,7}}=>{{1,2,6},{3},{4,5,7}}
{{1,3,6},{2},{4,5},{7}}=>{{1,2,6},{3},{4,5},{7}}
{{1,3,7},{2,6},{4,5}}=>{{1,7},{2,6},{3},{4,5}}
{{1,3},{2,6,7},{4,5}}=>{{1,3},{2,6,7},{4,5}}
{{1,3},{2,6},{4,5,7}}=>{{1,3},{2,6},{4,5,7}}
{{1,3},{2,6},{4,5},{7}}=>{{1,3},{2,6},{4,5},{7}}
{{1,3,7},{2},{4,5,6}}=>{{1,2,7},{3},{4,5,6}}
{{1,3},{2,7},{4,5,6}}=>{{1,3},{2,7},{4,5,6}}
{{1,3},{2},{4,5,6,7}}=>{{1,2,3},{4,5,6,7}}
{{1,3},{2},{4,5,6},{7}}=>{{1,2,3},{4,5,6},{7}}
{{1,3,7},{2},{4,5},{6}}=>{{1,2,7},{3},{4,5},{6}}
{{1,3},{2,7},{4,5},{6}}=>{{1,3},{2,7},{4,5},{6}}
{{1,3},{2},{4,5,7},{6}}=>{{1,2,3},{4,5,7},{6}}
{{1,3},{2},{4,5},{6,7}}=>{{1,2,3},{4,5},{6,7}}
{{1,3},{2},{4,5},{6},{7}}=>{{1,2,3},{4,5},{6},{7}}
{{1,3,6,7},{2},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
{{1,3,6},{2,7},{4},{5}}=>{{1,4,6},{2,7},{3},{5}}
{{1,3,6},{2},{4,7},{5}}=>{{1,2,6},{3},{4,7},{5}}
{{1,3,6},{2},{4},{5,7}}=>{{1,2,6},{3},{4},{5,7}}
{{1,3,6},{2},{4},{5},{7}}=>{{1,2,6},{3},{4},{5},{7}}
{{1,3,7},{2,6},{4},{5}}=>{{1,4,7},{2,6},{3},{5}}
{{1,3},{2,6,7},{4},{5}}=>{{1,3},{2,6,7},{4},{5}}
{{1,3},{2,6},{4,7},{5}}=>{{1,3},{2,6},{4,7},{5}}
{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}
{{1,3},{2,6},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}
{{1,3,7},{2},{4,6},{5}}=>{{1,2,7},{3},{4,6},{5}}
{{1,3},{2,7},{4,6},{5}}=>{{1,3},{2,7},{4,6},{5}}
{{1,3},{2},{4,6,7},{5}}=>{{1,2,3},{4,6,7},{5}}
{{1,3},{2},{4,6},{5,7}}=>{{1,2,3},{4,6},{5,7}}
{{1,3},{2},{4,6},{5},{7}}=>{{1,2,3},{4,6},{5},{7}}
{{1,3,7},{2},{4},{5,6}}=>{{1,2,7},{3},{4},{5,6}}
{{1,3},{2,7},{4},{5,6}}=>{{1,3},{2,7},{4},{5,6}}
{{1,3},{2},{4,7},{5,6}}=>{{1,2,3},{4,7},{5,6}}
{{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}}
{{1,3},{2},{4},{5,6},{7}}=>{{1,2,3},{4},{5,6},{7}}
{{1,3,7},{2},{4},{5},{6}}=>{{1,2,7},{3},{4},{5},{6}}
{{1,3},{2,7},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
{{1,3},{2},{4,7},{5},{6}}=>{{1,2,3},{4,7},{5},{6}}
{{1,3},{2},{4},{5,7},{6}}=>{{1,2,3},{4},{5,7},{6}}
{{1,3},{2},{4},{5},{6,7}}=>{{1,2,3},{4},{5},{6,7}}
{{1,3},{2},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
{{1,4,5,6,7},{2,3}}=>{{1,4,5,6,7},{2,3}}
{{1,4,5,6},{2,3,7}}=>{{1,6},{2,3,7},{4},{5}}
{{1,4,5,6},{2,3},{7}}=>{{1,4,5,6},{2,3},{7}}
{{1,4,5,7},{2,3,6}}=>{{1,7},{2,3,6},{4},{5}}
{{1,4,5},{2,3,6,7}}=>{{1,5},{2,3,6,7},{4}}
{{1,4,5},{2,3,6},{7}}=>{{1,5},{2,3,6},{4},{7}}
{{1,4,5,7},{2,3},{6}}=>{{1,4,5,7},{2,3},{6}}
{{1,4,5},{2,3,7},{6}}=>{{1,5},{2,3,7},{4},{6}}
{{1,4,5},{2,3},{6,7}}=>{{1,4,5},{2,3},{6,7}}
{{1,4,5},{2,3},{6},{7}}=>{{1,4,5},{2,3},{6},{7}}
{{1,4,6,7},{2,3,5}}=>{{1,6,7},{2,3,5},{4}}
{{1,4,6},{2,3,5,7}}=>{{1,6},{2,3,5,7},{4}}
{{1,4,6},{2,3,5},{7}}=>{{1,6},{2,3,5},{4},{7}}
{{1,4,7},{2,3,5,6}}=>{{1,7},{2,3,5,6},{4}}
{{1,4},{2,3,5,6,7}}=>{{1,4},{2,3,5,6,7}}
{{1,4},{2,3,5,6},{7}}=>{{1,4},{2,3,5,6},{7}}
{{1,4,7},{2,3,5},{6}}=>{{1,7},{2,3,5},{4},{6}}
{{1,4},{2,3,5,7},{6}}=>{{1,4},{2,3,5,7},{6}}
{{1,4},{2,3,5},{6,7}}=>{{1,4},{2,3,5},{6,7}}
{{1,4},{2,3,5},{6},{7}}=>{{1,4},{2,3,5},{6},{7}}
{{1,4,6,7},{2,3},{5}}=>{{1,4,6,7},{2,3},{5}}
{{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,3,7},{4}}
{{1,4,6},{2,3},{5,7}}=>{{1,4,6},{2,3},{5,7}}
{{1,4,6},{2,3},{5},{7}}=>{{1,4,6},{2,3},{5},{7}}
{{1,4,7},{2,3,6},{5}}=>{{1,5,7},{2,3,6},{4}}
{{1,4},{2,3,6,7},{5}}=>{{1,4},{2,3,6,7},{5}}
{{1,4},{2,3,6},{5,7}}=>{{1,4},{2,3,6},{5,7}}
{{1,4},{2,3,6},{5},{7}}=>{{1,4},{2,3,6},{5},{7}}
{{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}}
{{1,4},{2,3,7},{5,6}}=>{{1,4},{2,3,7},{5,6}}
{{1,4},{2,3},{5,6,7}}=>{{1,4},{2,3},{5,6,7}}
{{1,4},{2,3},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
{{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2,3},{5},{6}}
{{1,4},{2,3,7},{5},{6}}=>{{1,4},{2,3,7},{5},{6}}
{{1,4},{2,3},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
{{1,4},{2,3},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
{{1,4},{2,3},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
{{1,5,6,7},{2,3,4}}=>{{1,5,6,7},{2,3,4}}
{{1,5,6},{2,3,4,7}}=>{{1,6},{2,3,4,7},{5}}
{{1,5,6},{2,3,4},{7}}=>{{1,5,6},{2,3,4},{7}}
{{1,5,7},{2,3,4,6}}=>{{1,7},{2,3,4,6},{5}}
{{1,5},{2,3,4,6,7}}=>{{1,5},{2,3,4,6,7}}
{{1,5},{2,3,4,6},{7}}=>{{1,5},{2,3,4,6},{7}}
{{1,5,7},{2,3,4},{6}}=>{{1,5,7},{2,3,4},{6}}
{{1,5},{2,3,4,7},{6}}=>{{1,5},{2,3,4,7},{6}}
{{1,5},{2,3,4},{6,7}}=>{{1,5},{2,3,4},{6,7}}
{{1,5},{2,3,4},{6},{7}}=>{{1,5},{2,3,4},{6},{7}}
{{1,6,7},{2,3,4,5}}=>{{1,6,7},{2,3,4,5}}
{{1,6},{2,3,4,5,7}}=>{{1,6},{2,3,4,5,7}}
{{1,6},{2,3,4,5},{7}}=>{{1,6},{2,3,4,5},{7}}
{{1,7},{2,3,4,5,6}}=>{{1,7},{2,3,4,5,6}}
{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
{{1,7},{2,3,4,5},{6}}=>{{1,7},{2,3,4,5},{6}}
{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
{{1,6,7},{2,3,4},{5}}=>{{1,6,7},{2,3,4},{5}}
{{1,6},{2,3,4,7},{5}}=>{{1,5,6},{2,3,4,7}}
{{1,6},{2,3,4},{5,7}}=>{{1,6},{2,3,4},{5,7}}
{{1,6},{2,3,4},{5},{7}}=>{{1,6},{2,3,4},{5},{7}}
{{1,7},{2,3,4,6},{5}}=>{{1,5,7},{2,3,4,6}}
{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,6},{5,7}}
{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
{{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3,4},{5,6}}
{{1},{2,3,4,7},{5,6}}=>{{1},{2,3,4,7},{5,6}}
{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
{{1,7},{2,3,4},{5},{6}}=>{{1,7},{2,3,4},{5},{6}}
{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
{{1},{2,3,4},{5,7},{6}}=>{{1},{2,3,4},{5,7},{6}}
{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
{{1,5,6,7},{2,3},{4}}=>{{1,5,6,7},{2,3},{4}}
{{1,5,6},{2,3,7},{4}}=>{{1,4,6},{2,3,7},{5}}
{{1,5,6},{2,3},{4,7}}=>{{1,5,6},{2,3},{4,7}}
{{1,5,6},{2,3},{4},{7}}=>{{1,5,6},{2,3},{4},{7}}
{{1,5,7},{2,3,6},{4}}=>{{1,4,7},{2,3,6},{5}}
{{1,5},{2,3,6,7},{4}}=>{{1,4,5},{2,3,6,7}}
{{1,5},{2,3,6},{4,7}}=>{{1,5},{2,3,6},{4,7}}
{{1,5},{2,3,6},{4},{7}}=>{{1,4,5},{2,3,6},{7}}
{{1,5,7},{2,3},{4,6}}=>{{1,5,7},{2,3},{4,6}}
{{1,5},{2,3,7},{4,6}}=>{{1,5},{2,3,7},{4,6}}
{{1,5},{2,3},{4,6,7}}=>{{1,5},{2,3},{4,6,7}}
{{1,5},{2,3},{4,6},{7}}=>{{1,5},{2,3},{4,6},{7}}
{{1,5,7},{2,3},{4},{6}}=>{{1,5,7},{2,3},{4},{6}}
{{1,5},{2,3,7},{4},{6}}=>{{1,4,5},{2,3,7},{6}}
{{1,5},{2,3},{4,7},{6}}=>{{1,5},{2,3},{4,7},{6}}
{{1,5},{2,3},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
{{1,5},{2,3},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
{{1,6,7},{2,3,5},{4}}=>{{1,4,6,7},{2,3,5}}
{{1,6},{2,3,5,7},{4}}=>{{1,4,6},{2,3,5,7}}
{{1,6},{2,3,5},{4,7}}=>{{1,6},{2,3,5},{4,7}}
{{1,6},{2,3,5},{4},{7}}=>{{1,4,6},{2,3,5},{7}}
{{1,7},{2,3,5,6},{4}}=>{{1,4,7},{2,3,5,6}}
{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,5,6},{4,7}}
{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
{{1,7},{2,3,5},{4,6}}=>{{1,7},{2,3,5},{4,6}}
{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,5,7},{4,6}}
{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,5},{4,6,7}}
{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,5},{4,6},{7}}
{{1,7},{2,3,5},{4},{6}}=>{{1,4,7},{2,3,5},{6}}
{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,5},{4,7},{6}}
{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
{{1,6,7},{2,3},{4,5}}=>{{1,6,7},{2,3},{4,5}}
{{1,6},{2,3,7},{4,5}}=>{{1,6},{2,3,7},{4,5}}
{{1,6},{2,3},{4,5,7}}=>{{1,6},{2,3},{4,5,7}}
{{1,6},{2,3},{4,5},{7}}=>{{1,6},{2,3},{4,5},{7}}
{{1,7},{2,3,6},{4,5}}=>{{1,7},{2,3,6},{4,5}}
{{1},{2,3,6,7},{4,5}}=>{{1},{2,3,6,7},{4,5}}
{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,6},{4,5,7}}
{{1},{2,3,6},{4,5},{7}}=>{{1},{2,3,6},{4,5},{7}}
{{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3},{4,5,6}}
{{1},{2,3,7},{4,5,6}}=>{{1},{2,3,7},{4,5,6}}
{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
{{1,7},{2,3},{4,5},{6}}=>{{1,7},{2,3},{4,5},{6}}
{{1},{2,3,7},{4,5},{6}}=>{{1},{2,3,7},{4,5},{6}}
{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
{{1,6,7},{2,3},{4},{5}}=>{{1,6,7},{2,3},{4},{5}}
{{1,6},{2,3,7},{4},{5}}=>{{1,4,5,6},{2,3,7}}
{{1,6},{2,3},{4,7},{5}}=>{{1,6},{2,3},{4,7},{5}}
{{1,6},{2,3},{4},{5,7}}=>{{1,6},{2,3},{4},{5,7}}
{{1,6},{2,3},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
{{1,7},{2,3,6},{4},{5}}=>{{1,4,5,7},{2,3,6}}
{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
{{1},{2,3,6},{4,7},{5}}=>{{1},{2,3,6},{4,7},{5}}
{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,6},{4},{5,7}}
{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
{{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,3},{4,6},{5}}
{{1},{2,3,7},{4,6},{5}}=>{{1},{2,3,7},{4,6},{5}}
{{1},{2,3},{4,6,7},{5}}=>{{1},{2,3},{4,6,7},{5}}
{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,6},{5,7}}
{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}
{{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}
{{1},{2,3,7},{4},{5,6}}=>{{1},{2,3,7},{4},{5,6}}
{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,7},{5,6}}
{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
{{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}
{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}
{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
{{1,4,5,6,7},{2},{3}}=>{{1,2,3,5,6,7},{4}}
{{1,4,5,6},{2,7},{3}}=>{{1,3,5,6},{2,7},{4}}
{{1,4,5,6},{2},{3,7}}=>{{1,2,5,6},{3,7},{4}}
{{1,4,5,6},{2},{3},{7}}=>{{1,2,3,5,6},{4},{7}}
{{1,4,5,7},{2,6},{3}}=>{{1,3,5,7},{2,6},{4}}
{{1,4,5},{2,6,7},{3}}=>{{1,3,5},{2,6,7},{4}}
{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,7},{4}}
{{1,4,5},{2,6},{3},{7}}=>{{1,3,5},{2,6},{4},{7}}
{{1,4,5,7},{2},{3,6}}=>{{1,2,5,7},{3,6},{4}}
{{1,4,5},{2,7},{3,6}}=>{{1,5},{2,7},{3,6},{4}}
{{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,6,7},{4}}
{{1,4,5},{2},{3,6},{7}}=>{{1,2,5},{3,6},{4},{7}}
{{1,4,5,7},{2},{3},{6}}=>{{1,2,3,5,7},{4},{6}}
{{1,4,5},{2,7},{3},{6}}=>{{1,3,5},{2,7},{4},{6}}
{{1,4,5},{2},{3,7},{6}}=>{{1,2,5},{3,7},{4},{6}}
{{1,4,5},{2},{3},{6,7}}=>{{1,2,3,5},{4},{6,7}}
{{1,4,5},{2},{3},{6},{7}}=>{{1,2,3,5},{4},{6},{7}}
{{1,4,6,7},{2,5},{3}}=>{{1,3,6,7},{2,5},{4}}
{{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,5,7},{4}}
{{1,4,6},{2,5},{3,7}}=>{{1,6},{2,5},{3,7},{4}}
{{1,4,6},{2,5},{3},{7}}=>{{1,3,6},{2,5},{4},{7}}
{{1,4,7},{2,5,6},{3}}=>{{1,3,7},{2,5,6},{4}}
{{1,4},{2,5,6,7},{3}}=>{{1,3,4},{2,5,6,7}}
{{1,4},{2,5,6},{3,7}}=>{{1,4},{2,5,6},{3,7}}
{{1,4},{2,5,6},{3},{7}}=>{{1,3,4},{2,5,6},{7}}
{{1,4,7},{2,5},{3,6}}=>{{1,7},{2,5},{3,6},{4}}
{{1,4},{2,5,7},{3,6}}=>{{1,4},{2,5,7},{3,6}}
{{1,4},{2,5},{3,6,7}}=>{{1,4},{2,5},{3,6,7}}
{{1,4},{2,5},{3,6},{7}}=>{{1,4},{2,5},{3,6},{7}}
{{1,4,7},{2,5},{3},{6}}=>{{1,3,7},{2,5},{4},{6}}
{{1,4},{2,5,7},{3},{6}}=>{{1,3,4},{2,5,7},{6}}
{{1,4},{2,5},{3,7},{6}}=>{{1,4},{2,5},{3,7},{6}}
{{1,4},{2,5},{3},{6,7}}=>{{1,3,4},{2,5},{6,7}}
{{1,4},{2,5},{3},{6},{7}}=>{{1,3,4},{2,5},{6},{7}}
{{1,4,6,7},{2},{3,5}}=>{{1,2,6,7},{3,5},{4}}
{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,7},{3,5},{4}}
{{1,4,6},{2},{3,5,7}}=>{{1,2,6},{3,5,7},{4}}
{{1,4,6},{2},{3,5},{7}}=>{{1,2,6},{3,5},{4},{7}}
{{1,4,7},{2,6},{3,5}}=>{{1,7},{2,6},{3,5},{4}}
{{1,4},{2,6,7},{3,5}}=>{{1,4},{2,6,7},{3,5}}
{{1,4},{2,6},{3,5,7}}=>{{1,4},{2,6},{3,5,7}}
{{1,4},{2,6},{3,5},{7}}=>{{1,4},{2,6},{3,5},{7}}
{{1,4,7},{2},{3,5,6}}=>{{1,2,7},{3,5,6},{4}}
{{1,4},{2,7},{3,5,6}}=>{{1,4},{2,7},{3,5,6}}
{{1,4},{2},{3,5,6,7}}=>{{1,2,4},{3,5,6,7}}
{{1,4},{2},{3,5,6},{7}}=>{{1,2,4},{3,5,6},{7}}
{{1,4,7},{2},{3,5},{6}}=>{{1,2,7},{3,5},{4},{6}}
{{1,4},{2,7},{3,5},{6}}=>{{1,4},{2,7},{3,5},{6}}
{{1,4},{2},{3,5,7},{6}}=>{{1,2,4},{3,5,7},{6}}
{{1,4},{2},{3,5},{6,7}}=>{{1,2,4},{3,5},{6,7}}
{{1,4},{2},{3,5},{6},{7}}=>{{1,2,4},{3,5},{6},{7}}
{{1,4,6,7},{2},{3},{5}}=>{{1,2,3,6,7},{4},{5}}
{{1,4,6},{2,7},{3},{5}}=>{{1,3,6},{2,7},{4},{5}}
{{1,4,6},{2},{3,7},{5}}=>{{1,2,6},{3,7},{4},{5}}
{{1,4,6},{2},{3},{5,7}}=>{{1,2,3,6},{4},{5,7}}
{{1,4,6},{2},{3},{5},{7}}=>{{1,2,3,6},{4},{5},{7}}
{{1,4,7},{2,6},{3},{5}}=>{{1,3,7},{2,6},{4},{5}}
{{1,4},{2,6,7},{3},{5}}=>{{1,3,4},{2,6,7},{5}}
{{1,4},{2,6},{3,7},{5}}=>{{1,4},{2,6},{3,7},{5}}
{{1,4},{2,6},{3},{5,7}}=>{{1,3,4},{2,6},{5,7}}
{{1,4},{2,6},{3},{5},{7}}=>{{1,3,4},{2,6},{5},{7}}
{{1,4,7},{2},{3,6},{5}}=>{{1,2,7},{3,6},{4},{5}}
{{1,4},{2,7},{3,6},{5}}=>{{1,4},{2,7},{3,6},{5}}
{{1,4},{2},{3,6,7},{5}}=>{{1,2,4},{3,6,7},{5}}
{{1,4},{2},{3,6},{5,7}}=>{{1,2,4},{3,6},{5,7}}
{{1,4},{2},{3,6},{5},{7}}=>{{1,2,4},{3,6},{5},{7}}
{{1,4,7},{2},{3},{5,6}}=>{{1,2,3,7},{4},{5,6}}
{{1,4},{2,7},{3},{5,6}}=>{{1,3,4},{2,7},{5,6}}
{{1,4},{2},{3,7},{5,6}}=>{{1,2,4},{3,7},{5,6}}
{{1,4},{2},{3},{5,6,7}}=>{{1,2,3,4},{5,6,7}}
{{1,4},{2},{3},{5,6},{7}}=>{{1,2,3,4},{5,6},{7}}
{{1,4,7},{2},{3},{5},{6}}=>{{1,2,3,7},{4},{5},{6}}
{{1,4},{2,7},{3},{5},{6}}=>{{1,3,4},{2,7},{5},{6}}
{{1,4},{2},{3,7},{5},{6}}=>{{1,2,4},{3,7},{5},{6}}
{{1,4},{2},{3},{5,7},{6}}=>{{1,2,3,4},{5,7},{6}}
{{1,4},{2},{3},{5},{6,7}}=>{{1,2,3,4},{5},{6,7}}
{{1,4},{2},{3},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
{{1,5,6,7},{2,4},{3}}=>{{1,3,5,6,7},{2,4}}
{{1,5,6},{2,4,7},{3}}=>{{1,3,6},{2,4,7},{5}}
{{1,5,6},{2,4},{3,7}}=>{{1,5,6},{2,4},{3,7}}
{{1,5,6},{2,4},{3},{7}}=>{{1,3,5,6},{2,4},{7}}
{{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}
{{1,5},{2,4,6,7},{3}}=>{{1,3,5},{2,4,6,7}}
{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}
{{1,5},{2,4,6},{3},{7}}=>{{1,3,5},{2,4,6},{7}}
{{1,5,7},{2,4},{3,6}}=>{{1,5,7},{2,4},{3,6}}
{{1,5},{2,4,7},{3,6}}=>{{1,5},{2,4,7},{3,6}}
{{1,5},{2,4},{3,6,7}}=>{{1,5},{2,4},{3,6,7}}
{{1,5},{2,4},{3,6},{7}}=>{{1,5},{2,4},{3,6},{7}}
{{1,5,7},{2,4},{3},{6}}=>{{1,3,5,7},{2,4},{6}}
{{1,5},{2,4,7},{3},{6}}=>{{1,3,5},{2,4,7},{6}}
{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2,4},{3,7},{6}}
{{1,5},{2,4},{3},{6,7}}=>{{1,3,5},{2,4},{6,7}}
{{1,5},{2,4},{3},{6},{7}}=>{{1,3,5},{2,4},{6},{7}}
{{1,6,7},{2,4,5},{3}}=>{{1,3,6,7},{2,4,5}}
{{1,6},{2,4,5,7},{3}}=>{{1,3,6},{2,4,5,7}}
{{1,6},{2,4,5},{3,7}}=>{{1,6},{2,4,5},{3,7}}
{{1,6},{2,4,5},{3},{7}}=>{{1,3,6},{2,4,5},{7}}
{{1,7},{2,4,5,6},{3}}=>{{1,3,7},{2,4,5,6}}
{{1},{2,4,5,6,7},{3}}=>{{1},{2,4,5,6,7},{3}}
{{1},{2,4,5,6},{3,7}}=>{{1},{2,4,5,6},{3,7}}
{{1},{2,4,5,6},{3},{7}}=>{{1},{2,4,5,6},{3},{7}}
{{1,7},{2,4,5},{3,6}}=>{{1,7},{2,4,5},{3,6}}
{{1},{2,4,5,7},{3,6}}=>{{1},{2,4,5,7},{3,6}}
{{1},{2,4,5},{3,6,7}}=>{{1},{2,4,5},{3,6,7}}
{{1},{2,4,5},{3,6},{7}}=>{{1},{2,4,5},{3,6},{7}}
{{1,7},{2,4,5},{3},{6}}=>{{1,3,7},{2,4,5},{6}}
{{1},{2,4,5,7},{3},{6}}=>{{1},{2,4,5,7},{3},{6}}
{{1},{2,4,5},{3,7},{6}}=>{{1},{2,4,5},{3,7},{6}}
{{1},{2,4,5},{3},{6,7}}=>{{1},{2,4,5},{3},{6,7}}
{{1},{2,4,5},{3},{6},{7}}=>{{1},{2,4,5},{3},{6},{7}}
{{1,6,7},{2,4},{3,5}}=>{{1,6,7},{2,4},{3,5}}
{{1,6},{2,4,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}
{{1,6},{2,4},{3,5,7}}=>{{1,6},{2,4},{3,5,7}}
{{1,6},{2,4},{3,5},{7}}=>{{1,6},{2,4},{3,5},{7}}
{{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}
{{1},{2,4,6,7},{3,5}}=>{{1},{2,4,6,7},{3,5}}
{{1},{2,4,6},{3,5,7}}=>{{1},{2,4,6},{3,5,7}}
{{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}}
{{1,7},{2,4},{3,5,6}}=>{{1,7},{2,4},{3,5,6}}
{{1},{2,4,7},{3,5,6}}=>{{1},{2,4,7},{3,5,6}}
{{1},{2,4},{3,5,6,7}}=>{{1},{2,4},{3,5,6,7}}
{{1},{2,4},{3,5,6},{7}}=>{{1},{2,4},{3,5,6},{7}}
{{1,7},{2,4},{3,5},{6}}=>{{1,7},{2,4},{3,5},{6}}
{{1},{2,4,7},{3,5},{6}}=>{{1},{2,4,7},{3,5},{6}}
{{1},{2,4},{3,5,7},{6}}=>{{1},{2,4},{3,5,7},{6}}
{{1},{2,4},{3,5},{6,7}}=>{{1},{2,4},{3,5},{6,7}}
{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}
{{1,6,7},{2,4},{3},{5}}=>{{1,3,6,7},{2,4},{5}}
{{1,6},{2,4,7},{3},{5}}=>{{1,3,5,6},{2,4,7}}
{{1,6},{2,4},{3,7},{5}}=>{{1,6},{2,4},{3,7},{5}}
{{1,6},{2,4},{3},{5,7}}=>{{1,3,6},{2,4},{5,7}}
{{1,6},{2,4},{3},{5},{7}}=>{{1,3,6},{2,4},{5},{7}}
{{1,7},{2,4,6},{3},{5}}=>{{1,3,5,7},{2,4,6}}
{{1},{2,4,6,7},{3},{5}}=>{{1},{2,4,6,7},{3},{5}}
{{1},{2,4,6},{3,7},{5}}=>{{1},{2,4,6},{3,7},{5}}
{{1},{2,4,6},{3},{5,7}}=>{{1},{2,4,6},{3},{5,7}}
{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}
{{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,4},{3,6},{5}}
{{1},{2,4,7},{3,6},{5}}=>{{1},{2,4,7},{3,6},{5}}
{{1},{2,4},{3,6,7},{5}}=>{{1},{2,4},{3,6,7},{5}}
{{1},{2,4},{3,6},{5,7}}=>{{1},{2,4},{3,6},{5,7}}
{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}
{{1,7},{2,4},{3},{5,6}}=>{{1,3,7},{2,4},{5,6}}
{{1},{2,4,7},{3},{5,6}}=>{{1},{2,4,7},{3},{5,6}}
{{1},{2,4},{3,7},{5,6}}=>{{1},{2,4},{3,7},{5,6}}
{{1},{2,4},{3},{5,6,7}}=>{{1},{2,4},{3},{5,6,7}}
{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}
{{1,7},{2,4},{3},{5},{6}}=>{{1,3,7},{2,4},{5},{6}}
{{1},{2,4,7},{3},{5},{6}}=>{{1},{2,4,7},{3},{5},{6}}
{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}
{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}
{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}
{{1,5,6,7},{2},{3,4}}=>{{1,2,5,6,7},{3,4}}
{{1,5,6},{2,7},{3,4}}=>{{1,5,6},{2,7},{3,4}}
{{1,5,6},{2},{3,4,7}}=>{{1,2,6},{3,4,7},{5}}
{{1,5,6},{2},{3,4},{7}}=>{{1,2,5,6},{3,4},{7}}
{{1,5,7},{2,6},{3,4}}=>{{1,5,7},{2,6},{3,4}}
{{1,5},{2,6,7},{3,4}}=>{{1,5},{2,6,7},{3,4}}
{{1,5},{2,6},{3,4,7}}=>{{1,5},{2,6},{3,4,7}}
{{1,5},{2,6},{3,4},{7}}=>{{1,5},{2,6},{3,4},{7}}
{{1,5,7},{2},{3,4,6}}=>{{1,2,7},{3,4,6},{5}}
{{1,5},{2,7},{3,4,6}}=>{{1,5},{2,7},{3,4,6}}
{{1,5},{2},{3,4,6,7}}=>{{1,2,5},{3,4,6,7}}
{{1,5},{2},{3,4,6},{7}}=>{{1,2,5},{3,4,6},{7}}
{{1,5,7},{2},{3,4},{6}}=>{{1,2,5,7},{3,4},{6}}
{{1,5},{2,7},{3,4},{6}}=>{{1,5},{2,7},{3,4},{6}}
{{1,5},{2},{3,4,7},{6}}=>{{1,2,5},{3,4,7},{6}}
{{1,5},{2},{3,4},{6,7}}=>{{1,2,5},{3,4},{6,7}}
{{1,5},{2},{3,4},{6},{7}}=>{{1,2,5},{3,4},{6},{7}}
{{1,6,7},{2,5},{3,4}}=>{{1,6,7},{2,5},{3,4}}
{{1,6},{2,5,7},{3,4}}=>{{1,6},{2,5,7},{3,4}}
{{1,6},{2,5},{3,4,7}}=>{{1,6},{2,5},{3,4,7}}
{{1,6},{2,5},{3,4},{7}}=>{{1,6},{2,5},{3,4},{7}}
{{1,7},{2,5,6},{3,4}}=>{{1,7},{2,5,6},{3,4}}
{{1},{2,5,6,7},{3,4}}=>{{1},{2,5,6,7},{3,4}}
{{1},{2,5,6},{3,4,7}}=>{{1},{2,5,6},{3,4,7}}
{{1},{2,5,6},{3,4},{7}}=>{{1},{2,5,6},{3,4},{7}}
{{1,7},{2,5},{3,4,6}}=>{{1,7},{2,5},{3,4,6}}
{{1},{2,5,7},{3,4,6}}=>{{1},{2,5,7},{3,4,6}}
{{1},{2,5},{3,4,6,7}}=>{{1},{2,5},{3,4,6,7}}
{{1},{2,5},{3,4,6},{7}}=>{{1},{2,5},{3,4,6},{7}}
{{1,7},{2,5},{3,4},{6}}=>{{1,7},{2,5},{3,4},{6}}
{{1},{2,5,7},{3,4},{6}}=>{{1},{2,5,7},{3,4},{6}}
{{1},{2,5},{3,4,7},{6}}=>{{1},{2,5},{3,4,7},{6}}
{{1},{2,5},{3,4},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
{{1,6,7},{2},{3,4,5}}=>{{1,2,6,7},{3,4,5}}
{{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}
{{1,6},{2},{3,4,5,7}}=>{{1,2,6},{3,4,5,7}}
{{1,6},{2},{3,4,5},{7}}=>{{1,2,6},{3,4,5},{7}}
{{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}
{{1},{2,6,7},{3,4,5}}=>{{1},{2,6,7},{3,4,5}}
{{1},{2,6},{3,4,5,7}}=>{{1},{2,6},{3,4,5,7}}
{{1},{2,6},{3,4,5},{7}}=>{{1},{2,6},{3,4,5},{7}}
{{1,7},{2},{3,4,5,6}}=>{{1,2,7},{3,4,5,6}}
{{1},{2,7},{3,4,5,6}}=>{{1},{2,7},{3,4,5,6}}
{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
{{1,7},{2},{3,4,5},{6}}=>{{1,2,7},{3,4,5},{6}}
{{1},{2,7},{3,4,5},{6}}=>{{1},{2,7},{3,4,5},{6}}
{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
{{1,6,7},{2},{3,4},{5}}=>{{1,2,6,7},{3,4},{5}}
{{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3,4},{5}}
{{1,6},{2},{3,4,7},{5}}=>{{1,2,5,6},{3,4,7}}
{{1,6},{2},{3,4},{5,7}}=>{{1,2,6},{3,4},{5,7}}
{{1,6},{2},{3,4},{5},{7}}=>{{1,2,6},{3,4},{5},{7}}
{{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3,4},{5}}
{{1},{2,6,7},{3,4},{5}}=>{{1},{2,6,7},{3,4},{5}}
{{1},{2,6},{3,4,7},{5}}=>{{1},{2,6},{3,4,7},{5}}
{{1},{2,6},{3,4},{5,7}}=>{{1},{2,6},{3,4},{5,7}}
{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
{{1,7},{2},{3,4,6},{5}}=>{{1,2,5,7},{3,4,6}}
{{1},{2,7},{3,4,6},{5}}=>{{1},{2,7},{3,4,6},{5}}
{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,6},{5,7}}
{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
{{1,7},{2},{3,4},{5,6}}=>{{1,2,7},{3,4},{5,6}}
{{1},{2,7},{3,4},{5,6}}=>{{1},{2,7},{3,4},{5,6}}
{{1},{2},{3,4,7},{5,6}}=>{{1},{2},{3,4,7},{5,6}}
{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
{{1,7},{2},{3,4},{5},{6}}=>{{1,2,7},{3,4},{5},{6}}
{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}
{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
{{1,5,6,7},{2},{3},{4}}=>{{1,2,3,4,6,7},{5}}
{{1,5,6},{2,7},{3},{4}}=>{{1,3,4,6},{2,7},{5}}
{{1,5,6},{2},{3,7},{4}}=>{{1,2,4,6},{3,7},{5}}
{{1,5,6},{2},{3},{4,7}}=>{{1,2,3,6},{4,7},{5}}
{{1,5,6},{2},{3},{4},{7}}=>{{1,2,3,4,6},{5},{7}}
{{1,5,7},{2,6},{3},{4}}=>{{1,3,4,7},{2,6},{5}}
{{1,5},{2,6,7},{3},{4}}=>{{1,3,4,5},{2,6,7}}
{{1,5},{2,6},{3,7},{4}}=>{{1,4,5},{2,6},{3,7}}
{{1,5},{2,6},{3},{4,7}}=>{{1,3,5},{2,6},{4,7}}
{{1,5},{2,6},{3},{4},{7}}=>{{1,3,4,5},{2,6},{7}}
{{1,5,7},{2},{3,6},{4}}=>{{1,2,4,7},{3,6},{5}}
{{1,5},{2,7},{3,6},{4}}=>{{1,4,5},{2,7},{3,6}}
{{1,5},{2},{3,6,7},{4}}=>{{1,2,4,5},{3,6,7}}
{{1,5},{2},{3,6},{4,7}}=>{{1,2,5},{3,6},{4,7}}
{{1,5},{2},{3,6},{4},{7}}=>{{1,2,4,5},{3,6},{7}}
{{1,5,7},{2},{3},{4,6}}=>{{1,2,3,7},{4,6},{5}}
{{1,5},{2,7},{3},{4,6}}=>{{1,3,5},{2,7},{4,6}}
{{1,5},{2},{3,7},{4,6}}=>{{1,2,5},{3,7},{4,6}}
{{1,5},{2},{3},{4,6,7}}=>{{1,2,3,5},{4,6,7}}
{{1,5},{2},{3},{4,6},{7}}=>{{1,2,3,5},{4,6},{7}}
{{1,5,7},{2},{3},{4},{6}}=>{{1,2,3,4,7},{5},{6}}
{{1,5},{2,7},{3},{4},{6}}=>{{1,3,4,5},{2,7},{6}}
{{1,5},{2},{3,7},{4},{6}}=>{{1,2,4,5},{3,7},{6}}
{{1,5},{2},{3},{4,7},{6}}=>{{1,2,3,5},{4,7},{6}}
{{1,5},{2},{3},{4},{6,7}}=>{{1,2,3,4,5},{6,7}}
{{1,5},{2},{3},{4},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
{{1,6,7},{2,5},{3},{4}}=>{{1,3,4,6,7},{2,5}}
{{1,6},{2,5,7},{3},{4}}=>{{1,3,4,6},{2,5,7}}
{{1,6},{2,5},{3,7},{4}}=>{{1,4,6},{2,5},{3,7}}
{{1,6},{2,5},{3},{4,7}}=>{{1,3,6},{2,5},{4,7}}
{{1,6},{2,5},{3},{4},{7}}=>{{1,3,4,6},{2,5},{7}}
{{1,7},{2,5,6},{3},{4}}=>{{1,3,4,7},{2,5,6}}
{{1},{2,5,6,7},{3},{4}}=>{{1},{2,5,6,7},{3},{4}}
{{1},{2,5,6},{3,7},{4}}=>{{1},{2,5,6},{3,7},{4}}
{{1},{2,5,6},{3},{4,7}}=>{{1},{2,5,6},{3},{4,7}}
{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,5,6},{3},{4},{7}}
{{1,7},{2,5},{3,6},{4}}=>{{1,4,7},{2,5},{3,6}}
{{1},{2,5,7},{3,6},{4}}=>{{1},{2,5,7},{3,6},{4}}
{{1},{2,5},{3,6,7},{4}}=>{{1},{2,5},{3,6,7},{4}}
{{1},{2,5},{3,6},{4,7}}=>{{1},{2,5},{3,6},{4,7}}
{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
{{1,7},{2,5},{3},{4,6}}=>{{1,3,7},{2,5},{4,6}}
{{1},{2,5,7},{3},{4,6}}=>{{1},{2,5,7},{3},{4,6}}
{{1},{2,5},{3,7},{4,6}}=>{{1},{2,5},{3,7},{4,6}}
{{1},{2,5},{3},{4,6,7}}=>{{1},{2,5},{3},{4,6,7}}
{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,5},{3},{4,6},{7}}
{{1,7},{2,5},{3},{4},{6}}=>{{1,3,4,7},{2,5},{6}}
{{1},{2,5,7},{3},{4},{6}}=>{{1},{2,5,7},{3},{4},{6}}
{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,5},{3},{4,7},{6}}
{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}
{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
{{1,6,7},{2},{3,5},{4}}=>{{1,2,4,6,7},{3,5}}
{{1,6},{2,7},{3,5},{4}}=>{{1,4,6},{2,7},{3,5}}
{{1,6},{2},{3,5,7},{4}}=>{{1,2,4,6},{3,5,7}}
{{1,6},{2},{3,5},{4,7}}=>{{1,2,6},{3,5},{4,7}}
{{1,6},{2},{3,5},{4},{7}}=>{{1,2,4,6},{3,5},{7}}
{{1,7},{2,6},{3,5},{4}}=>{{1,4,7},{2,6},{3,5}}
{{1},{2,6,7},{3,5},{4}}=>{{1},{2,6,7},{3,5},{4}}
{{1},{2,6},{3,5,7},{4}}=>{{1},{2,6},{3,5,7},{4}}
{{1},{2,6},{3,5},{4,7}}=>{{1},{2,6},{3,5},{4,7}}
{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
{{1,7},{2},{3,5,6},{4}}=>{{1,2,4,7},{3,5,6}}
{{1},{2,7},{3,5,6},{4}}=>{{1},{2,7},{3,5,6},{4}}
{{1},{2},{3,5,6,7},{4}}=>{{1},{2},{3,5,6,7},{4}}
{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,5,6},{4,7}}
{{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3,5,6},{4},{7}}
{{1,7},{2},{3,5},{4,6}}=>{{1,2,7},{3,5},{4,6}}
{{1},{2,7},{3,5},{4,6}}=>{{1},{2,7},{3,5},{4,6}}
{{1},{2},{3,5,7},{4,6}}=>{{1},{2},{3,5,7},{4,6}}
{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,5},{4,6,7}}
{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,5},{4,6},{7}}
{{1,7},{2},{3,5},{4},{6}}=>{{1,2,4,7},{3,5},{6}}
{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
{{1},{2},{3,5,7},{4},{6}}=>{{1},{2},{3,5,7},{4},{6}}
{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,5},{4,7},{6}}
{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}
{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}
{{1,6,7},{2},{3},{4,5}}=>{{1,2,3,6,7},{4,5}}
{{1,6},{2,7},{3},{4,5}}=>{{1,3,6},{2,7},{4,5}}
{{1,6},{2},{3,7},{4,5}}=>{{1,2,6},{3,7},{4,5}}
{{1,6},{2},{3},{4,5,7}}=>{{1,2,3,6},{4,5,7}}
{{1,6},{2},{3},{4,5},{7}}=>{{1,2,3,6},{4,5},{7}}
{{1,7},{2,6},{3},{4,5}}=>{{1,3,7},{2,6},{4,5}}
{{1},{2,6,7},{3},{4,5}}=>{{1},{2,6,7},{3},{4,5}}
{{1},{2,6},{3,7},{4,5}}=>{{1},{2,6},{3,7},{4,5}}
{{1},{2,6},{3},{4,5,7}}=>{{1},{2,6},{3},{4,5,7}}
{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3},{4,5},{7}}
{{1,7},{2},{3,6},{4,5}}=>{{1,2,7},{3,6},{4,5}}
{{1},{2,7},{3,6},{4,5}}=>{{1},{2,7},{3,6},{4,5}}
{{1},{2},{3,6,7},{4,5}}=>{{1},{2},{3,6,7},{4,5}}
{{1},{2},{3,6},{4,5,7}}=>{{1},{2},{3,6},{4,5,7}}
{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,6},{4,5},{7}}
{{1,7},{2},{3},{4,5,6}}=>{{1,2,3,7},{4,5,6}}
{{1},{2,7},{3},{4,5,6}}=>{{1},{2,7},{3},{4,5,6}}
{{1},{2},{3,7},{4,5,6}}=>{{1},{2},{3,7},{4,5,6}}
{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
{{1,7},{2},{3},{4,5},{6}}=>{{1,2,3,7},{4,5},{6}}
{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,7},{3},{4,5},{6}}
{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,7},{4,5},{6}}
{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
{{1,6,7},{2},{3},{4},{5}}=>{{1,2,3,4,5,7},{6}}
{{1,6},{2,7},{3},{4},{5}}=>{{1,3,4,5,6},{2,7}}
{{1,6},{2},{3,7},{4},{5}}=>{{1,2,4,5,6},{3,7}}
{{1,6},{2},{3},{4,7},{5}}=>{{1,2,3,5,6},{4,7}}
{{1,6},{2},{3},{4},{5,7}}=>{{1,2,3,4,6},{5,7}}
{{1,6},{2},{3},{4},{5},{7}}=>{{1,2,3,4,5,6},{7}}
{{1,7},{2,6},{3},{4},{5}}=>{{1,3,4,5,7},{2,6}}
{{1},{2,6,7},{3},{4},{5}}=>{{1},{2,6,7},{3},{4},{5}}
{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,6},{3},{4,7},{5}}
{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,6},{3},{4},{5,7}}
{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
{{1,7},{2},{3,6},{4},{5}}=>{{1,2,4,5,7},{3,6}}
{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
{{1},{2},{3,6,7},{4},{5}}=>{{1},{2},{3,6,7},{4},{5}}
{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,6},{4,7},{5}}
{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,6},{4},{5,7}}
{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
{{1,7},{2},{3},{4,6},{5}}=>{{1,2,3,5,7},{4,6}}
{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,7},{3},{4,6},{5}}
{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,7},{4,6},{5}}
{{1},{2},{3},{4,6,7},{5}}=>{{1},{2},{3},{4,6,7},{5}}
{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,6},{5,7}}
{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}
{{1,7},{2},{3},{4},{5,6}}=>{{1,2,3,4,7},{5,6}}
{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,7},{3},{4},{5,6}}
{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,7},{4},{5,6}}
{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,7},{5,6}}
{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
{{1,7},{2},{3},{4},{5},{6}}=>{{1,2,3,4,5,6,7}}
{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}
{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}
{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}}
{{1,3},{2,4},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}
{{1,4},{2,3},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
{{1,5},{2,3},{4,6},{7,8}}=>{{1,5},{2,3},{4,6},{7,8}}
{{1,6},{2,3},{4,5},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}}
{{1,7},{2,3},{4,5},{6,8}}=>{{1,7},{2,3},{4,5},{6,8}}
{{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}
{{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,4},{3,5},{6,7}}
{{1,7},{2,4},{3,5},{6,8}}=>{{1,7},{2,4},{3,5},{6,8}}
{{1,6},{2,4},{3,5},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}}
{{1,5},{2,4},{3,6},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}}
{{1,4},{2,5},{3,6},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}
{{1,3},{2,5},{4,6},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}}
{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}
{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
{{1,3},{2,6},{4,5},{7,8}}=>{{1,3},{2,6},{4,5},{7,8}}
{{1,4},{2,6},{3,5},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}
{{1,5},{2,6},{3,4},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}
{{1,6},{2,5},{3,4},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
{{1,7},{2,5},{3,4},{6,8}}=>{{1,7},{2,5},{3,4},{6,8}}
{{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,5},{3,4},{6,7}}
{{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,6},{3,4},{5,7}}
{{1,7},{2,6},{3,4},{5,8}}=>{{1,7},{2,6},{3,4},{5,8}}
{{1,6},{2,7},{3,4},{5,8}}=>{{1,6},{2,7},{3,4},{5,8}}
{{1,5},{2,7},{3,4},{6,8}}=>{{1,5},{2,7},{3,4},{6,8}}
{{1,4},{2,7},{3,5},{6,8}}=>{{1,4},{2,7},{3,5},{6,8}}
{{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}}
{{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,7},{4,5},{6,8}}
{{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,8},{4,5},{6,7}}
{{1,3},{2,8},{4,5},{6,7}}=>{{1,3},{2,8},{4,5},{6,7}}
{{1,4},{2,8},{3,5},{6,7}}=>{{1,4},{2,8},{3,5},{6,7}}
{{1,5},{2,8},{3,4},{6,7}}=>{{1,5},{2,8},{3,4},{6,7}}
{{1,6},{2,8},{3,4},{5,7}}=>{{1,6},{2,8},{3,4},{5,7}}
{{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}
{{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}
{{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}
{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}
{{1,6},{2,8},{3,5},{4,7}}=>{{1,6},{2,8},{3,5},{4,7}}
{{1,5},{2,8},{3,6},{4,7}}=>{{1,5},{2,8},{3,6},{4,7}}
{{1,4},{2,8},{3,6},{5,7}}=>{{1,4},{2,8},{3,6},{5,7}}
{{1,3},{2,8},{4,6},{5,7}}=>{{1,3},{2,8},{4,6},{5,7}}
{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,8},{4,6},{5,7}}
{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,7},{4,6},{5,8}}
{{1,3},{2,7},{4,6},{5,8}}=>{{1,3},{2,7},{4,6},{5,8}}
{{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}}
{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}
{{1,6},{2,7},{3,5},{4,8}}=>{{1,6},{2,7},{3,5},{4,8}}
{{1,7},{2,6},{3,5},{4,8}}=>{{1,7},{2,6},{3,5},{4,8}}
{{1,8},{2,6},{3,5},{4,7}}=>{{1,8},{2,6},{3,5},{4,7}}
{{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}
{{1,7},{2,5},{3,6},{4,8}}=>{{1,7},{2,5},{3,6},{4,8}}
{{1,6},{2,5},{3,7},{4,8}}=>{{1,6},{2,5},{3,7},{4,8}}
{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}
{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}
{{1,3},{2,6},{4,7},{5,8}}=>{{1,3},{2,6},{4,7},{5,8}}
{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,6},{4,7},{5,8}}
{{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,5},{4,7},{6,8}}
{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}
{{1,4},{2,5},{3,7},{6,8}}=>{{1,4},{2,5},{3,7},{6,8}}
{{1,5},{2,4},{3,7},{6,8}}=>{{1,5},{2,4},{3,7},{6,8}}
{{1,6},{2,4},{3,7},{5,8}}=>{{1,6},{2,4},{3,7},{5,8}}
{{1,7},{2,4},{3,6},{5,8}}=>{{1,7},{2,4},{3,6},{5,8}}
{{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}
{{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,3},{4,6},{5,7}}
{{1,7},{2,3},{4,6},{5,8}}=>{{1,7},{2,3},{4,6},{5,8}}
{{1,6},{2,3},{4,7},{5,8}}=>{{1,6},{2,3},{4,7},{5,8}}
{{1,5},{2,3},{4,7},{6,8}}=>{{1,5},{2,3},{4,7},{6,8}}
{{1,4},{2,3},{5,7},{6,8}}=>{{1,4},{2,3},{5,7},{6,8}}
{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}
{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,7},{6,8}}
{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,8},{6,7}}
{{1,3},{2,4},{5,8},{6,7}}=>{{1,3},{2,4},{5,8},{6,7}}
{{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}}
{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}}
{{1,6},{2,3},{4,8},{5,7}}=>{{1,6},{2,3},{4,8},{5,7}}
{{1,7},{2,3},{4,8},{5,6}}=>{{1,7},{2,3},{4,8},{5,6}}
{{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,3},{4,7},{5,6}}
{{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,4},{3,7},{5,6}}
{{1,7},{2,4},{3,8},{5,6}}=>{{1,7},{2,4},{3,8},{5,6}}
{{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}
{{1,5},{2,4},{3,8},{6,7}}=>{{1,5},{2,4},{3,8},{6,7}}
{{1,4},{2,5},{3,8},{6,7}}=>{{1,4},{2,5},{3,8},{6,7}}
{{1,3},{2,5},{4,8},{6,7}}=>{{1,3},{2,5},{4,8},{6,7}}
{{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,5},{4,8},{6,7}}
{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,6},{4,8},{5,7}}
{{1,3},{2,6},{4,8},{5,7}}=>{{1,3},{2,6},{4,8},{5,7}}
{{1,4},{2,6},{3,8},{5,7}}=>{{1,4},{2,6},{3,8},{5,7}}
{{1,5},{2,6},{3,8},{4,7}}=>{{1,5},{2,6},{3,8},{4,7}}
{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}
{{1,7},{2,5},{3,8},{4,6}}=>{{1,7},{2,5},{3,8},{4,6}}
{{1,8},{2,5},{3,7},{4,6}}=>{{1,8},{2,5},{3,7},{4,6}}
{{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}}
{{1,7},{2,6},{3,8},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}}
{{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}
{{1,5},{2,7},{3,8},{4,6}}=>{{1,5},{2,7},{3,8},{4,6}}
{{1,4},{2,7},{3,8},{5,6}}=>{{1,4},{2,7},{3,8},{5,6}}
{{1,3},{2,7},{4,8},{5,6}}=>{{1,3},{2,7},{4,8},{5,6}}
{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,7},{4,8},{5,6}}
{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,8},{4,7},{5,6}}
{{1,3},{2,8},{4,7},{5,6}}=>{{1,3},{2,8},{4,7},{5,6}}
{{1,4},{2,8},{3,7},{5,6}}=>{{1,4},{2,8},{3,7},{5,6}}
{{1,5},{2,8},{3,7},{4,6}}=>{{1,5},{2,8},{3,7},{4,6}}
{{1,6},{2,8},{3,7},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}}
{{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}
{{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}
{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
{{1},{2},{3},{4},{5},{6,8},{7}}=>{{1},{2},{3},{4},{5},{6,8},{7}}
{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
{{1},{2},{3},{4},{5,8},{6},{7}}=>{{1},{2},{3},{4},{5,8},{6},{7}}
{{1},{2},{3},{4},{5,8},{6,7}}=>{{1},{2},{3},{4},{5,8},{6,7}}
{{1},{2},{3},{4},{5,6,8},{7}}=>{{1},{2},{3},{4},{5,6,8},{7}}
{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
{{1},{2},{3},{4,8},{5},{6},{7}}=>{{1},{2},{3},{4,8},{5},{6},{7}}
{{1},{2},{3},{4,8},{5,6},{7}}=>{{1},{2},{3},{4,8},{5,6},{7}}
{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
{{1},{2},{3},{4,8},{5,6,7}}=>{{1},{2},{3},{4,8},{5,6,7}}
{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
{{1},{2},{3,8},{4},{5},{6},{7}}=>{{1},{2},{3,8},{4},{5},{6},{7}}
{{1},{2},{3,8},{4,5},{6},{7}}=>{{1},{2},{3,8},{4,5},{6},{7}}
{{1},{2},{3,8},{4,6},{5},{7}}=>{{1},{2},{3,8},{4,6},{5},{7}}
{{1},{2},{3,8},{4,5,6},{7}}=>{{1},{2},{3,8},{4,5,6},{7}}
{{1},{2},{3,4,8},{5,6,7}}=>{{1},{2},{3,4,8},{5,6,7}}
{{1},{2,3},{4,7,8},{5,6}}=>{{1},{2,3},{4,7,8},{5,6}}
{{1},{2,3},{4,5,6,8},{7}}=>{{1},{2,3},{4,5,6,8},{7}}
{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1},{2,8},{3},{4},{5},{6},{7}}
{{1},{2,4,6,8},{3},{5},{7}}=>{{1},{2,4,6,8},{3},{5},{7}}
{{1},{2,4,8},{3},{5,7},{6}}=>{{1},{2,4,8},{3},{5,7},{6}}
{{1},{2,4,5,8},{3},{6,7}}=>{{1},{2,4,5,8},{3},{6,7}}
{{1},{2,8},{3,4},{5},{6},{7}}=>{{1},{2,8},{3,4},{5},{6},{7}}
{{1},{2,8},{3,4},{5,6,7}}=>{{1},{2,8},{3,4},{5,6,7}}
{{1},{2,5,8},{3,4},{6,7}}=>{{1},{2,5,8},{3,4},{6,7}}
{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
{{1},{2,8},{3,5},{4},{6},{7}}=>{{1},{2,8},{3,5},{4},{6},{7}}
{{1},{2,6,8},{3,5},{4},{7}}=>{{1},{2,6,8},{3,5},{4},{7}}
{{1},{2,8},{3,5,7},{4},{6}}=>{{1},{2,8},{3,5,7},{4},{6}}
{{1},{2,8},{3,4,5},{6},{7}}=>{{1},{2,8},{3,4,5},{6},{7}}
{{1},{2,8},{3,4,5},{6,7}}=>{{1},{2,8},{3,4,5},{6,7}}
{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
{{1},{2,3,8},{4,5,7},{6}}=>{{1},{2,3,8},{4,5,7},{6}}
{{1},{2,3,4,5,8},{6},{7}}=>{{1},{2,3,4,5,8},{6},{7}}
{{1},{2,3,4,5,7,8},{6}}=>{{1},{2,3,4,5,7,8},{6}}
{{1},{2,3,4,8},{5,6,7}}=>{{1},{2,3,4,8},{5,6,7}}
{{1},{2,3,4,5,8},{6,7}}=>{{1},{2,3,4,5,8},{6,7}}
{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
{{1,2},{3},{4,6,7,8},{5}}=>{{1,2},{3},{4,6,7,8},{5}}
{{1,2},{3,4},{5,7,8},{6}}=>{{1,2},{3,4},{5,7,8},{6}}
{{1,2},{3,4},{5,6,8},{7}}=>{{1,2},{3,4},{5,6,8},{7}}
{{1,2},{3,4},{5,6,7,8}}=>{{1,2},{3,4},{5,6,7,8}}
{{1,2},{3,6,7,8},{4},{5}}=>{{1,2},{3,6,7,8},{4},{5}}
{{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}}
{{1,2},{3,7,8},{4},{5,6}}=>{{1,2},{3,7,8},{4},{5,6}}
{{1,2},{3,5,7,8},{4},{6}}=>{{1,2},{3,5,7,8},{4},{6}}
{{1,2},{3,5,8},{4},{6,7}}=>{{1,2},{3,5,8},{4},{6,7}}
{{1,2},{3,5,6,8},{4},{7}}=>{{1,2},{3,5,6,8},{4},{7}}
{{1,2},{3,7,8},{4,5},{6}}=>{{1,2},{3,7,8},{4,5},{6}}
{{1,2},{3,6,8},{4,5},{7}}=>{{1,2},{3,6,8},{4,5},{7}}
{{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}}
{{1,2},{3,7,8},{4,6},{5}}=>{{1,2},{3,7,8},{4,6},{5}}
{{1,2},{3,8},{4,6,7},{5}}=>{{1,2},{3,8},{4,6,7},{5}}
{{1,2},{3,4,8},{5},{6,7}}=>{{1,2},{3,4,8},{5},{6,7}}
{{1,2},{3,4,6,8},{5},{7}}=>{{1,2},{3,4,6,8},{5},{7}}
{{1,2},{3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6},{7,8}}
{{1,2},{3,4,8},{5,6},{7}}=>{{1,2},{3,4,8},{5,6},{7}}
{{1,2},{3,8},{4,5,7},{6}}=>{{1,2},{3,8},{4,5,7},{6}}
{{1,2},{3,4,8},{5,7},{6}}=>{{1,2},{3,4,8},{5,7},{6}}
{{1,2},{3,4,5,8},{6},{7}}=>{{1,2},{3,4,5,8},{6},{7}}
{{1,2},{3,4,5,6,7,8}}=>{{1,2},{3,4,5,6,7,8}}
{{1,3},{2},{4,6,8},{5},{7}}=>{{1,2,3},{4,6,8},{5},{7}}
{{1,3},{2},{4,7,8},{5,6}}=>{{1,2,3},{4,7,8},{5,6}}
{{1,3},{2},{4,8},{5,7},{6}}=>{{1,2,3},{4,8},{5,7},{6}}
{{1,3},{2},{4,5,6,8},{7}}=>{{1,2,3},{4,5,6,8},{7}}
{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,2,3,4,5,6,7,8}}
{{1,5,6,7,8},{2},{3},{4}}=>{{1,2,3,4,6,7,8},{5}}
{{1,6,7,8},{2},{3},{4,5}}=>{{1,2,3,6,7,8},{4,5}}
{{1,4,5,6},{2},{3},{7,8}}=>{{1,2,3,5,6},{4},{7,8}}
{{1,4,7,8},{2},{3},{5,6}}=>{{1,2,3,7,8},{4},{5,6}}
{{1,4,5,8},{2},{3},{6,7}}=>{{1,2,3,5,8},{4},{6,7}}
{{1,3,4},{2},{5,6},{7,8}}=>{{1,2,4},{3},{5,6},{7,8}}
{{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,7,8},{6}}
{{1,3,4},{2},{5,8},{6,7}}=>{{1,2,4},{3},{5,8},{6,7}}
{{1,5,6},{2},{3,4},{7,8}}=>{{1,2,5,6},{3,4},{7,8}}
{{1,7,8},{2},{3,4},{5,6}}=>{{1,2,7,8},{3,4},{5,6}}
{{1,5,8},{2},{3,4},{6,7}}=>{{1,2,5,8},{3,4},{6,7}}
{{1,3,5},{2},{4},{6,8},{7}}=>{{1,2,5},{3},{4},{6,8},{7}}
{{1,3,5},{2},{4},{6,7,8}}=>{{1,2,5},{3},{4},{6,7,8}}
{{1,6,7,8},{2},{3,5},{4}}=>{{1,2,4,6,7,8},{3,5}}
{{1,3,5,6},{2},{4},{7,8}}=>{{1,2,5,6},{3},{4},{7,8}}
{{1,7,8},{2},{3,5,6},{4}}=>{{1,2,4,7,8},{3,5,6}}
{{1,3,5,7},{2},{4},{6},{8}}=>{{1,2,5,7},{3},{4},{6},{8}}
{{1,3,5,7,8},{2},{4},{6}}=>{{1,2,5,7,8},{3},{4},{6}}
{{1,3,5,8},{2},{4},{6,7}}=>{{1,2,5,8},{3},{4},{6,7}}
{{1,3,4,5},{2},{6,7},{8}}=>{{1,2,4,5},{3},{6,7},{8}}
{{1,3,4,5},{2},{6,8},{7}}=>{{1,2,4,5},{3},{6,8},{7}}
{{1,3,6},{2},{4,5},{7,8}}=>{{1,2,6},{3},{4,5},{7,8}}
{{1,7,8},{2},{3,6},{4,5}}=>{{1,2,7,8},{3,6},{4,5}}
{{1,3,7,8},{2},{4,5},{6}}=>{{1,2,7,8},{3},{4,5},{6}}
{{1,3,8},{2},{4,5},{6,7}}=>{{1,2,8},{3},{4,5},{6,7}}
{{1,3,4,6},{2},{5},{7,8}}=>{{1,2,4,6},{3},{5},{7,8}}
{{1,3,7},{2},{4,6},{5},{8}}=>{{1,2,7},{3},{4,6},{5},{8}}
{{1,3,7,8},{2},{4,6},{5}}=>{{1,2,7,8},{3},{4,6},{5}}
{{1,3,8},{2},{4,6,7},{5}}=>{{1,2,8},{3},{4,6,7},{5}}
{{1,8},{2},{3,4,5,6},{7}}=>{{1,2,8},{3,4,5,6},{7}}
{{1,3,8},{2},{4,7},{5,6}}=>{{1,2,8},{3},{4,7},{5,6}}
{{1,2,3},{4,6,7},{5},{8}}=>{{1,3},{2},{4,6,7},{5},{8}}
{{1,2,3},{4,6,8},{5},{7}}=>{{1,3},{2},{4,6,8},{5},{7}}
{{1,4},{2,3},{5,7,8},{6}}=>{{1,4},{2,3},{5,7,8},{6}}
{{1,4},{2,3},{5,6,8},{7}}=>{{1,4},{2,3},{5,6,8},{7}}
{{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2,3},{4},{5},{6},{7}}
{{1,5,6},{2,3},{4},{7,8}}=>{{1,5,6},{2,3},{4},{7,8}}
{{1,5,7,8},{2,3},{4},{6}}=>{{1,5,7,8},{2,3},{4},{6}}
{{1,8},{2,3},{4},{5,6,7}}=>{{1,8},{2,3},{4},{5,6,7}}
{{1,5,8},{2,3},{4},{6,7}}=>{{1,5,8},{2,3},{4},{6,7}}
{{1,7,8},{2,3},{4,5},{6}}=>{{1,7,8},{2,3},{4,5},{6}}
{{1,6,8},{2,3},{4,5},{7}}=>{{1,6,8},{2,3},{4,5},{7}}
{{1,4,6},{2,3},{5},{7,8}}=>{{1,4,6},{2,3},{5},{7,8}}
{{1,7,8},{2,3},{4,6},{5}}=>{{1,7,8},{2,3},{4,6},{5}}
{{1,8},{2,3},{4,6,7},{5}}=>{{1,8},{2,3},{4,6,7},{5}}
{{1,4,8},{2,3},{5},{6,7}}=>{{1,4,8},{2,3},{5},{6,7}}
{{1,4,6,8},{2,3},{5},{7}}=>{{1,4,6,8},{2,3},{5},{7}}
{{1,4,8},{2,3},{5,6},{7}}=>{{1,4,8},{2,3},{5,6},{7}}
{{1,8},{2,3},{4,5,7},{6}}=>{{1,8},{2,3},{4,5,7},{6}}
{{1,4,8},{2,3},{5,7},{6}}=>{{1,4,8},{2,3},{5,7},{6}}
{{1,4,5,8},{2,3},{6},{7}}=>{{1,4,5,8},{2,3},{6},{7}}
{{1,2,4},{3},{5,6},{7,8}}=>{{1,3,4},{2},{5,6},{7,8}}
{{1,2,4},{3},{5,8},{6,7}}=>{{1,3,4},{2},{5,8},{6,7}}
{{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,8},{7}}
{{1,5},{2,4},{3},{6,8},{7}}=>{{1,3,5},{2,4},{6,8},{7}}
{{1,8},{2,4},{3},{5},{6},{7}}=>{{1,3,8},{2,4},{5},{6},{7}}
{{1,5,6},{2,4},{3},{7,8}}=>{{1,3,5,6},{2,4},{7,8}}
{{1,7,8},{2,4},{3},{5,6}}=>{{1,3,7,8},{2,4},{5,6}}
{{1,5,7},{2,4},{3},{6},{8}}=>{{1,3,5,7},{2,4},{6},{8}}
{{1,5,7,8},{2,4},{3},{6}}=>{{1,3,5,7,8},{2,4},{6}}
{{1,5,8},{2,4},{3},{6,7}}=>{{1,3,5,8},{2,4},{6,7}}
{{1,6,7,8},{2,5},{3},{4}}=>{{1,3,4,6,7,8},{2,5}}
{{1,7,8},{2,5,6},{3},{4}}=>{{1,3,4,7,8},{2,5,6}}
{{1,8},{2,5,6,7},{3},{4}}=>{{1,3,4,8},{2,5,6,7}}
{{1,6},{2,4,5},{3},{7,8}}=>{{1,3,6},{2,4,5},{7,8}}
{{1,7,8},{2,4,5},{3},{6}}=>{{1,3,7,8},{2,4,5},{6}}
{{1,8},{2,4,5},{3},{6,7}}=>{{1,3,8},{2,4,5},{6,7}}
{{1,2,6},{3},{4,5},{7,8}}=>{{1,3,6},{2},{4,5},{7,8}}
{{1,7,8},{2,6},{3},{4,5}}=>{{1,3,7,8},{2,6},{4,5}}
{{1,8},{2,6,7},{3},{4,5}}=>{{1,3,8},{2,6,7},{4,5}}
{{1,2,8},{3},{4,5},{6,7}}=>{{1,3,8},{2},{4,5},{6,7}}
{{1,2,6,8},{3},{4,5},{7}}=>{{1,3,6,8},{2},{4,5},{7}}
{{1,2,4,6},{3},{5},{7,8}}=>{{1,3,4,6},{2},{5},{7,8}}
{{1,7},{2,4,6},{3},{5},{8}}=>{{1,3,5,7},{2,4,6},{8}}
{{1,7,8},{2,4,6},{3},{5}}=>{{1,3,5,7,8},{2,4,6}}
{{1,8},{2,4,6,7},{3},{5}}=>{{1,3,5,8},{2,4,6,7}}
{{1,2,4,8},{3},{5},{6,7}}=>{{1,3,4,8},{2},{5},{6,7}}
{{1,2,4,6,8},{3},{5},{7}}=>{{1,3,4,6,8},{2},{5},{7}}
{{1,8},{2,4,7},{3},{5,6}}=>{{1,3,8},{2,4,7},{5,6}}
{{1,2,8},{3},{4,7},{5,6}}=>{{1,3,8},{2},{4,7},{5,6}}
{{1,2,8},{3},{4,5,7},{6}}=>{{1,3,8},{2},{4,5,7},{6}}
{{1,2,4,8},{3},{5,7},{6}}=>{{1,3,4,8},{2},{5,7},{6}}
{{1,2,3,4},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}
{{1,2,3,4},{5,6,7,8}}=>{{1,4},{2},{3},{5,6,7,8}}
{{1,8},{2,3,4},{5},{6},{7}}=>{{1,8},{2,3,4},{5},{6},{7}}
{{1,8},{2,3,4},{5},{6,7}}=>{{1,8},{2,3,4},{5},{6,7}}
{{1,6,8},{2,3,4},{5},{7}}=>{{1,6,8},{2,3,4},{5},{7}}
{{1,7},{2,3,4},{5,6},{8}}=>{{1,7},{2,3,4},{5,6},{8}}
{{1,7,8},{2,5},{3,4},{6}}=>{{1,7,8},{2,5},{3,4},{6}}
{{1,6,8},{2,5},{3,4},{7}}=>{{1,6,8},{2,5},{3,4},{7}}
{{1,2,6},{3,4},{5},{7,8}}=>{{1,6},{2},{3,4},{5},{7,8}}
{{1,7,8},{2,6},{3,4},{5}}=>{{1,7,8},{2,6},{3,4},{5}}
{{1,8},{2,6,7},{3,4},{5}}=>{{1,8},{2,6,7},{3,4},{5}}
{{1,2,8},{3,4},{5,6},{7}}=>{{1,8},{2},{3,4},{5,6},{7}}
{{1,8},{2,5,7},{3,4},{6}}=>{{1,8},{2,5,7},{3,4},{6}}
{{1,2,8},{3,4},{5,7},{6}}=>{{1,8},{2},{3,4},{5,7},{6}}
{{1,2,5,8},{3,4},{6},{7}}=>{{1,5,8},{2},{3,4},{6},{7}}
{{1,6},{2,3,5},{4},{7,8}}=>{{1,4,6},{2,3,5},{7,8}}
{{1,8},{2,3,5},{4},{6,7}}=>{{1,4,8},{2,3,5},{6,7}}
{{1,6,8},{2,3,5},{4},{7}}=>{{1,4,6,8},{2,3,5},{7}}
{{1,2,6},{3,5},{4},{7,8}}=>{{1,4,6},{2},{3,5},{7,8}}
{{1,7},{2,6},{3,5},{4},{8}}=>{{1,4,7},{2,6},{3,5},{8}}
{{1,7,8},{2,6},{3,5},{4}}=>{{1,4,7,8},{2,6},{3,5}}
{{1,8},{2,6,7},{3,5},{4}}=>{{1,4,8},{2,6,7},{3,5}}
{{1,2,8},{3,5},{4},{6,7}}=>{{1,4,8},{2},{3,5},{6,7}}
{{1,2,6,8},{3,5},{4},{7}}=>{{1,4,6,8},{2},{3,5},{7}}
{{1,2,3,6},{4},{5},{7,8}}=>{{1,4,6},{2},{3},{5},{7,8}}
{{1,8},{2,7},{3,5,6},{4}}=>{{1,4,8},{2,7},{3,5,6}}
{{1,2,8},{3,5,6},{4},{7}}=>{{1,4,8},{2},{3,5,6},{7}}
{{1,8},{2,3,7},{4},{5,6}}=>{{1,4,8},{2,3,7},{5,6}}
{{1,2,8},{3,7},{4},{5,6}}=>{{1,4,8},{2},{3,7},{5,6}}
{{1,8},{2,3,5,7},{4},{6}}=>{{1,4,6,8},{2,3,5,7}}
{{1,2,8},{3,5,7},{4},{6}}=>{{1,4,8},{2},{3,5,7},{6}}
{{1,2,3,5,6,7},{4},{8}}=>{{1,4,5,6,7},{2},{3},{8}}
{{1,8},{2,3,6},{4,5},{7}}=>{{1,8},{2,3,6},{4,5},{7}}
{{1,2,8},{3,6},{4,5},{7}}=>{{1,8},{2},{3,6},{4,5},{7}}
{{1,8},{2,3,7},{4,5},{6}}=>{{1,8},{2,3,7},{4,5},{6}}
{{1,2,8},{3,7},{4,5},{6}}=>{{1,8},{2},{3,7},{4,5},{6}}
{{1,2,3,8},{4,5},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}}
{{1,8},{2,7},{3,4,6},{5}}=>{{1,5,8},{2,7},{3,4,6}}
{{1,2,8},{3,4,6},{5},{7}}=>{{1,5,8},{2},{3,4,6},{7}}
{{1,8},{2,3,7},{4,6},{5}}=>{{1,5,8},{2,3,7},{4,6}}
{{1,2,8},{3,7},{4,6},{5}}=>{{1,5,8},{2},{3,7},{4,6}}
{{1,2,3,8},{4,6},{5},{7}}=>{{1,5,8},{2},{3},{4,6},{7}}
{{1,2,3,4,7},{5},{6},{8}}=>{{1,5,7},{2},{3},{4},{6},{8}}
{{1,8},{2,3,4,7},{5},{6}}=>{{1,5,6,8},{2,3,4,7}}
{{1,2,8},{3,4,7},{5},{6}}=>{{1,5,8},{2},{3,4,7},{6}}
{{1,2,3,8},{4,7},{5},{6}}=>{{1,5,8},{2},{3},{4,7},{6}}
{{1,2,3,4,8},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6},{7}}
{{1,2,3,4,6,7},{5},{8}}=>{{1,5,6,7},{2},{3},{4},{8}}
{{1,2,3,4,5,6},{7,8}}=>{{1,6},{2},{3},{4},{5},{7,8}}
{{1,2,3,7},{4,5,6},{8}}=>{{1,7},{2},{3},{4,5,6},{8}}
{{1,2,3,4,7},{5,6},{8}}=>{{1,7},{2},{3},{4},{5,6},{8}}
{{1,2,3,4,5,7},{6},{8}}=>{{1,6,7},{2},{3},{4},{5},{8}}
{{1,2,3,4,5,6,7},{8}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
{{1,2,3,4,5,6,7,8}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
{{1,3,4,6,7,8},{2,5}}=>{{1,6,7,8},{2,5},{3},{4}}
{{1,3,4,5,7,8},{2,6}}=>{{1,7,8},{2,6},{3},{4},{5}}
{{1,2,4,5,6,8},{3,7}}=>{{1,8},{2},{3,7},{4},{5},{6}}
{{1,2,3,5,6,8},{4,7}}=>{{1,8},{2},{3},{4,7},{5},{6}}
{{1,2,3,5,6,7},{4,8}}=>{{1,7},{2},{3},{4,8},{5},{6}}
{{1,2,3,4,6,7},{5,8}}=>{{1,7},{2},{3},{4},{5,8},{6}}
{{1,2,3,4,5,7},{6,8}}=>{{1,7},{2},{3},{4},{5},{6,8}}
{{1,3,5,7},{2,4,6,8}}=>{{1,7},{2,4,6,8},{3},{5}}
{{1,3,4,7},{2,5,6,8}}=>{{1,7},{2,5,6,8},{3},{4}}
{{1,2,5,6},{3,4,7,8}}=>{{1,6},{2},{3,4,7,8},{5}}
{{1,2,4,6},{3,5,7,8}}=>{{1,6},{2},{3,5,7,8},{4}}
{{1,2,3,6},{4,5,7,8}}=>{{1,6},{2},{3},{4,5,7,8}}
{{1,2,4,5},{3,6,7,8}}=>{{1,5},{2},{3,6,7,8},{4}}
{{1,2,3,5},{4,6,7,8}}=>{{1,5},{2},{3},{4,6,7,8}}
{{1,4,5,8},{2,6},{3,7}}=>{{1,8},{2,6},{3,7},{4},{5}}
{{1,3,5,7},{2,6},{4,8}}=>{{1,7},{2,6},{3},{4,8},{5}}
{{1,3,4,7},{2,6},{5,8}}=>{{1,7},{2,6},{3},{4},{5,8}}
{{1,3,4,7},{2,5},{6,8}}=>{{1,7},{2,5},{3},{4},{6,8}}
{{1,2,5,6},{3,7},{4,8}}=>{{1,6},{2},{3,7},{4,8},{5}}
{{1,2,4,6},{3,7},{5,8}}=>{{1,6},{2},{3,7},{4},{5,8}}
{{1,2,3,6},{4,7},{5,8}}=>{{1,6},{2},{3},{4,7},{5,8}}
{{1,2,4,5},{3,7},{6,8}}=>{{1,5},{2},{3,7},{4},{6,8}}
{{1,2,3,5},{4,7},{6,8}}=>{{1,5},{2},{3},{4,7},{6,8}}
{{1,2,3,4},{5,7},{6,8}}=>{{1,4},{2},{3},{5,7},{6,8}}
{{1,3,4,6},{2,5},{7,8}}=>{{1,6},{2,5},{3},{4},{7,8}}
{{1,2,4,5},{3,6},{7,8}}=>{{1,5},{2},{3,6},{4},{7,8}}
{{1,2,3,5},{4,6},{7,8}}=>{{1,5},{2},{3},{4,6},{7,8}}
{{1,5,7,8},{2,6},{3},{4}}=>{{1,3,4,7,8},{2,6},{5}}
{{1,3,7,8},{2,5},{4},{6}}=>{{1,4,7,8},{2,5},{3},{6}}
{{1,5,6,8},{2,7},{3},{4}}=>{{1,3,4,6,8},{2,7},{5}}
{{1,3,4,8},{2,7},{5},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
{{1,2,4,8},{3,7},{5},{6}}=>{{1,5,8},{2},{3,7},{4},{6}}
{{1,3,6,8},{2,4},{5},{7}}=>{{1,6,8},{2,4},{3},{5},{7}}
{{1,3,5,8},{2,6},{4},{7}}=>{{1,4,5,8},{2,6},{3},{7}}
{{1,2,5,8},{3,6},{4},{7}}=>{{1,4,5,8},{2},{3,6},{7}}
{{1,3,4,8},{2,6},{5},{7}}=>{{1,5,8},{2,6},{3},{4},{7}}
{{1,2,4,8},{3,6},{5},{7}}=>{{1,5,8},{2},{3,6},{4},{7}}
{{1,4,6,7},{2,8},{3},{5}}=>{{1,3,6,7},{2,8},{4},{5}}
{{1,3,6,7},{2,8},{4},{5}}=>{{1,4,6,7},{2,8},{3},{5}}
{{1,2,6,7},{3,8},{4},{5}}=>{{1,4,6,7},{2},{3,8},{5}}
{{1,4,5,7},{2,8},{3},{6}}=>{{1,3,5,7},{2,8},{4},{6}}
{{1,3,5,7},{2,8},{4},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
{{1,2,5,7},{3,8},{4},{6}}=>{{1,4,5,7},{2},{3,8},{6}}
{{1,3,4,7},{2,8},{5},{6}}=>{{1,5,7},{2,8},{3},{4},{6}}
{{1,2,4,7},{3,8},{5},{6}}=>{{1,5,7},{2},{3,8},{4},{6}}
{{1,2,5,6},{3,8},{4},{7}}=>{{1,4,5,6},{2},{3,8},{7}}
{{1,3,5,7},{2,6},{4},{8}}=>{{1,4,5,7},{2,6},{3},{8}}
{{1,3,5,7},{2,4},{6},{8}}=>{{1,5,7},{2,4},{3},{6},{8}}
{{1,5,7},{2,6,8},{3},{4}}=>{{1,3,4,7},{2,6,8},{5}}
{{1,4,7},{2,6,8},{3},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
{{1,2,7},{3,6,8},{4},{5}}=>{{1,4,7},{2},{3,6,8},{5}}
{{1,3,7},{2,5,8},{4},{6}}=>{{1,4,7},{2,5,8},{3},{6}}
{{1,2,7},{3,5,8},{4},{6}}=>{{1,4,7},{2},{3,5,8},{6}}
{{1,3,7},{2,4,8},{5},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
{{1,4,6},{2,7,8},{3},{5}}=>{{1,3,6},{2,7,8},{4},{5}}
{{1,3,6},{2,7,8},{4},{5}}=>{{1,4,6},{2,7,8},{3},{5}}
{{1,2,4},{3,7,8},{5},{6}}=>{{1,4},{2},{3,7,8},{5},{6}}
{{1,2,6},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,5,8},{7}}
{{1,3,6},{2,4,8},{5},{7}}=>{{1,5,6},{2,4,8},{3},{7}}
{{1,4,5},{2,6,8},{3},{7}}=>{{1,3,5},{2,6,8},{4},{7}}
{{1,3,5},{2,6,8},{4},{7}}=>{{1,4,5},{2,6,8},{3},{7}}
{{1,3,4},{2,6,8},{5},{7}}=>{{1,4},{2,6,8},{3},{5},{7}}
{{1,2,4},{3,6,8},{5},{7}}=>{{1,4},{2},{3,6,8},{5},{7}}
{{1,5,8},{2,6},{3,7},{4}}=>{{1,4,8},{2,6},{3,7},{5}}
{{1,4,8},{2,6},{3,7},{5}}=>{{1,5,8},{2,6},{3,7},{4}}
{{1,3,8},{2,6},{4,7},{5}}=>{{1,5,8},{2,6},{3},{4,7}}
{{1,2,8},{3,6},{4,7},{5}}=>{{1,5,8},{2},{3,6},{4,7}}
{{1,4,8},{2,5},{3,7},{6}}=>{{1,8},{2,5},{3,7},{4},{6}}
{{1,3,8},{2,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
{{1,2,8},{3,5},{4,7},{6}}=>{{1,8},{2},{3,5},{4,7},{6}}
{{1,4,8},{2,5},{3,6},{7}}=>{{1,8},{2,5},{3,6},{4},{7}}
{{1,5,7},{2,6},{3,8},{4}}=>{{1,4,7},{2,6},{3,8},{5}}
{{1,4,7},{2,6},{3,8},{5}}=>{{1,5,7},{2,6},{3,8},{4}}
{{1,3,7},{2,6},{4,8},{5}}=>{{1,5,7},{2,6},{3},{4,8}}
{{1,2,7},{3,6},{4,8},{5}}=>{{1,5,7},{2},{3,6},{4,8}}
{{1,4,7},{2,5},{3,8},{6}}=>{{1,7},{2,5},{3,8},{4},{6}}
{{1,3,7},{2,5},{4,8},{6}}=>{{1,7},{2,5},{3},{4,8},{6}}
{{1,2,7},{3,5},{4,8},{6}}=>{{1,7},{2},{3,5},{4,8},{6}}
{{1,5,6},{2,7},{3,8},{4}}=>{{1,4,6},{2,7},{3,8},{5}}
{{1,4,6},{2,7},{3,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}
{{1,3,6},{2,7},{4,8},{5}}=>{{1,5,6},{2,7},{3},{4,8}}
{{1,2,6},{3,7},{4,8},{5}}=>{{1,5,6},{2},{3,7},{4,8}}
{{1,3,5},{2,7},{4,8},{6}}=>{{1,5},{2,7},{3},{4,8},{6}}
{{1,2,5},{3,7},{4,8},{6}}=>{{1,5},{2},{3,7},{4,8},{6}}
{{1,3,4},{2,7},{5,8},{6}}=>{{1,4},{2,7},{3},{5,8},{6}}
{{1,2,4},{3,7},{5,8},{6}}=>{{1,4},{2},{3,7},{5,8},{6}}
{{1,3,6},{2,5},{4,8},{7}}=>{{1,6},{2,5},{3},{4,8},{7}}
{{1,2,6},{3,5},{4,8},{7}}=>{{1,6},{2},{3,5},{4,8},{7}}
{{1,3,5},{2,6},{4,8},{7}}=>{{1,5},{2,6},{3},{4,8},{7}}
{{1,2,5},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,8},{7}}
{{1,3,4},{2,6},{5,8},{7}}=>{{1,4},{2,6},{3},{5,8},{7}}
{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,8},{7}}
{{1,3,5},{2,4},{6,8},{7}}=>{{1,5},{2,4},{3},{6,8},{7}}
{{1,4,7},{2,5},{3,6},{8}}=>{{1,7},{2,5},{3,6},{4},{8}}
{{1,3,7},{2,5},{4,6},{8}}=>{{1,7},{2,5},{3},{4,6},{8}}
{{1,3,4},{2,6},{5,7},{8}}=>{{1,4},{2,6},{3},{5,7},{8}}
{{1,2,4},{3,6},{5,7},{8}}=>{{1,4},{2},{3,6},{5,7},{8}}
{{1,3,5,8},{2},{4,6},{7}}=>{{1,2,5,8},{3},{4,6},{7}}
{{1,3,5,7},{2},{4},{6,8}}=>{{1,2,5,7},{3},{4},{6,8}}
{{1,5,7},{2,4},{3},{6,8}}=>{{1,3,5,7},{2,4},{6,8}}
{{1,5},{2,4,8},{3},{6,7}}=>{{1,3,5},{2,4,8},{6,7}}
{{1,5,8},{2,4},{3,6},{7}}=>{{1,5,8},{2,4},{3,6},{7}}
{{1,6,8},{2,4},{3,5},{7}}=>{{1,6,8},{2,4},{3,5},{7}}
{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,5,8},{4,6},{7}}
{{1,5,8},{2,6},{3,4},{7}}=>{{1,5,8},{2,6},{3,4},{7}}
{{1,4,8},{2,6},{3,5},{7}}=>{{1,8},{2,6},{3,5},{4},{7}}
{{1,4},{2,5,8},{3},{6,7}}=>{{1,3,4},{2,5,8},{6,7}}
{{1,4,7},{2,5},{3},{6,8}}=>{{1,3,7},{2,5},{4},{6,8}}
{{1,4},{2},{3,6,7},{5,8}}=>{{1,2,4},{3,6,7},{5,8}}
{{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7,8}}
{{1,4},{2},{3,7},{5,6,8}}=>{{1,2,4},{3,7},{5,6,8}}
{{1,4},{2},{3,5,8},{6,7}}=>{{1,2,4},{3,5,8},{6,7}}
{{1,5},{2},{3,4,8},{6,7}}=>{{1,2,5},{3,4,8},{6,7}}
{{1,2,5},{3},{4,7,8},{6}}=>{{1,3,5},{2},{4,7,8},{6}}
{{1,2,5,7},{3},{4,8},{6}}=>{{1,3,5,7},{2},{4,8},{6}}
{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,7},{4},{6,8}}
{{1,5,7},{2},{3,4},{6,8}}=>{{1,2,5,7},{3,4},{6,8}}
{{1,4,7},{2},{3,5},{6,8}}=>{{1,2,7},{3,5},{4},{6,8}}
{{1,4},{2},{3,8},{5,6,7}}=>{{1,2,4},{3,8},{5,6,7}}
{{1,4,6},{2},{3,8},{5,7}}=>{{1,2,6},{3,8},{4},{5,7}}
{{1,4,6},{2},{3,7},{5,8}}=>{{1,2,6},{3,7},{4},{5,8}}
{{1},{2,6},{3,4,7},{5,8}}=>{{1},{2,6},{3,4,7},{5,8}}
{{1,6},{2,3,7},{4},{5,8}}=>{{1,4,6},{2,3,7},{5,8}}
{{1,2},{3,6,7},{4,8},{5}}=>{{1,2},{3,6,7},{4,8},{5}}
{{1,2},{3,6},{4,7,8},{5}}=>{{1,2},{3,6},{4,7,8},{5}}
{{1,6},{2,3},{4},{5,7,8}}=>{{1,6},{2,3},{4},{5,7,8}}
{{1},{2,6},{3,4},{5,7,8}}=>{{1},{2,6},{3,4},{5,7,8}}
{{1},{2,7},{3,4},{5,6,8}}=>{{1},{2,7},{3,4},{5,6,8}}
{{1,7},{2,3},{4},{5,6,8}}=>{{1,7},{2,3},{4},{5,6,8}}
{{1,2},{3,7},{4,6,8},{5}}=>{{1,2},{3,7},{4,6,8},{5}}
{{1,2},{3,5,8},{4,7},{6}}=>{{1,2},{3,5,8},{4,7},{6}}
{{1,7},{2,3,8},{4,5},{6}}=>{{1,7},{2,3,8},{4,5},{6}}
{{1},{2,5},{3,4,8},{6,7}}=>{{1},{2,5},{3,4,8},{6,7}}
{{1},{2,4},{3,5,8},{6,7}}=>{{1},{2,4},{3,5,8},{6,7}}
{{1},{2,4},{3,7},{5,6,8}}=>{{1},{2,4},{3,7},{5,6,8}}
{{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,4},{3,6},{5,7,8}}
{{1},{2,4},{3,6,7},{5,8}}=>{{1},{2,4},{3,6,7},{5,8}}
{{1,3},{2,6,7},{4},{5,8}}=>{{1,3},{2,6,7},{4},{5,8}}
{{1,3},{2,6},{4},{5,7,8}}=>{{1,3},{2,6},{4},{5,7,8}}
{{1,3},{2,7},{4},{5,6,8}}=>{{1,3},{2,7},{4},{5,6,8}}
{{1,3},{2,7,8},{4,5},{6}}=>{{1,3},{2,7,8},{4,5},{6}}
{{1,3,8},{2,4,7},{5},{6}}=>{{1,5,8},{2,4,7},{3},{6}}
{{1,4,8},{2,3,7},{5},{6}}=>{{1,5,8},{2,3,7},{4},{6}}
{{1,4,7},{2,3,8},{5},{6}}=>{{1,5,7},{2,3,8},{4},{6}}
{{1,3,7},{2,8},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
{{1,3},{2,8},{4},{5,6,7}}=>{{1,3},{2,8},{4},{5,6,7}}
{{1,3,6},{2,8},{4},{5,7}}=>{{1,4,6},{2,8},{3},{5,7}}
{{1,3,6},{2,7},{4},{5,8}}=>{{1,4,6},{2,7},{3},{5,8}}
{{1},{2,4,6},{3,7},{5,8}}=>{{1},{2,4,6},{3,7},{5,8}}
{{1},{2,4,6},{3,8},{5,7}}=>{{1},{2,4,6},{3,8},{5,7}}
{{1},{2,4},{3,8},{5,6,7}}=>{{1},{2,4},{3,8},{5,6,7}}
{{1},{2,4,7},{3,5},{6,8}}=>{{1},{2,4,7},{3,5},{6,8}}
{{1},{2,5,7},{3,4},{6,8}}=>{{1},{2,5,7},{3,4},{6,8}}
{{1},{2,8},{3,4,6},{5,7}}=>{{1},{2,8},{3,4,6},{5,7}}
{{1,8},{2,3,6},{4},{5,7}}=>{{1,4,8},{2,3,6},{5,7}}
{{1,2,6},{3,8},{4,7},{5}}=>{{1,5,6},{2},{3,8},{4,7}}
{{1,7},{2,3,6},{4},{5,8}}=>{{1,4,7},{2,3,6},{5,8}}
{{1},{2,7},{3,4,6},{5,8}}=>{{1},{2,7},{3,4,6},{5,8}}
{{1,2},{3,6,8},{4,7},{5}}=>{{1,2},{3,6,8},{4,7},{5}}
{{1,2},{3,5,7},{4,8},{6}}=>{{1,2},{3,5,7},{4,8},{6}}
{{1,2},{3,7},{4,5,8},{6}}=>{{1,2},{3,7},{4,5,8},{6}}
{{1,4,8},{2,7},{3},{5,6}}=>{{1,3,8},{2,7},{4},{5,6}}
{{1,3,7},{2,8},{4},{5,6}}=>{{1,4,7},{2,8},{3},{5,6}}
{{1,3,7},{2,8},{4,6},{5}}=>{{1,5,7},{2,8},{3},{4,6}}
{{1,3,7},{2},{4,5,8},{6}}=>{{1,2,7},{3},{4,5,8},{6}}
{{1,7},{2,3},{4,5,8},{6}}=>{{1,7},{2,3},{4,5,8},{6}}
{{1,7},{2,3,8},{4,6},{5}}=>{{1,5,7},{2,3,8},{4,6}}
{{1,7},{2,3,8},{4},{5,6}}=>{{1,4,7},{2,3,8},{5,6}}
{{1,7,8},{2,5},{3,6},{4}}=>{{1,4,7,8},{2,5},{3,6}}
{{1,7},{2,4,6,8},{3},{5}}=>{{1,3,5,7},{2,4,6,8}}
{{1,7},{2,4,5},{3,8},{6}}=>{{1,7},{2,4,5},{3,8},{6}}
{{1,4,6},{2,5},{3},{7,8}}=>{{1,3,6},{2,5},{4},{7,8}}
{{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,7,8},{3,6},{5}}
{{1,5,8},{2,7},{3,6},{4}}=>{{1,4,8},{2,7},{3,6},{5}}
{{1,8},{2,5,7},{3,6},{4}}=>{{1,4,8},{2,5,7},{3,6}}
{{1,5,8},{2,6,7},{3},{4}}=>{{1,3,4,8},{2,6,7},{5}}
{{1,4,5,7},{2},{3,8},{6}}=>{{1,2,5,7},{3,8},{4},{6}}
{{1,3,5},{2,6},{4},{7,8}}=>{{1,4,5},{2,6},{3},{7,8}}
{{1,3,6},{2,8},{4,7},{5}}=>{{1,5,6},{2,8},{3},{4,7}}
{{1,4,6,8},{2},{3,7},{5}}=>{{1,2,6,8},{3,7},{4},{5}}
{{1,8},{2,4,6},{3,7},{5}}=>{{1,5,8},{2,4,6},{3,7}}
{{1,4,8},{2,5},{3},{6,7}}=>{{1,3,8},{2,5},{4},{6,7}}
{{1,3,5},{2,8},{4},{6,7}}=>{{1,4,5},{2,8},{3},{6,7}}
{{1,5},{2,3,8},{4},{6,7}}=>{{1,4,5},{2,3,8},{6,7}}
{{1,8},{2,6},{3,4,7},{5}}=>{{1,5,8},{2,6},{3,4,7}}
{{1,6,8},{2},{3,4,7},{5}}=>{{1,2,5,8},{3,4,7},{6}}
{{1,6,8},{2,4},{3,7},{5}}=>{{1,6,8},{2,4},{3,7},{5}}
{{1,6},{2,3,8},{4,7},{5}}=>{{1,5,6},{2,3,8},{4,7}}
{{1,6},{2,3,7,8},{4},{5}}=>{{1,4,5,6},{2,3,7,8}}
{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,3,7},{4,8},{6}}
{{1,5},{2,3,6},{4},{7,8}}=>{{1,4,5},{2,3,6},{7,8}}
{{1,5,7},{2,4},{3,8},{6}}=>{{1,5,7},{2,4},{3,8},{6}}
{{1,6,7},{2,4,8},{3},{5}}=>{{1,3,5,7},{2,4,8},{6}}
{{1,6,8},{2,5,7},{3},{4}}=>{{1,3,4,8},{2,5,7},{6}}
{{1,6,8},{2,7},{3,5},{4}}=>{{1,4,6,8},{2,7},{3,5}}
{{1,6,8},{2,7},{3},{4,5}}=>{{1,3,6,8},{2,7},{4,5}}
{{1,6,7},{2,8},{3,4},{5}}=>{{1,6,7},{2,8},{3,4},{5}}
{{1,5,7},{2},{3,4,8},{6}}=>{{1,2,7},{3,4,8},{5},{6}}
{{1,7},{2,5},{3,4,8},{6}}=>{{1,7},{2,5},{3,4,8},{6}}
{{1,7},{2,6,8},{3,4},{5}}=>{{1,7},{2,6,8},{3,4},{5}}
{{1,4,8},{2,3,6},{5},{7}}=>{{1,5,8},{2,3,6},{4},{7}}
{{1,5},{2,4,8},{3,7},{6}}=>{{1,5},{2,4,8},{3,7},{6}}
{{1,5},{2,4,7},{3,8},{6}}=>{{1,5},{2,4,7},{3,8},{6}}
{{1,5},{2,4,8},{3,6},{7}}=>{{1,5},{2,4,8},{3,6},{7}}
{{1,6},{2,4,8},{3,5},{7}}=>{{1,6},{2,4,8},{3,5},{7}}
{{1,6},{2,5},{3,4,8},{7}}=>{{1,6},{2,5},{3,4,8},{7}}
{{1,6},{2,3,5},{4,8},{7}}=>{{1,6},{2,3,5},{4,8},{7}}
{{1,5},{2,3,6},{4,8},{7}}=>{{1,5},{2,3,6},{4,8},{7}}
{{1,5},{2,6},{3,4,8},{7}}=>{{1,5},{2,6},{3,4,8},{7}}
{{1,4,8},{2,7},{3,6},{5}}=>{{1,5,8},{2,7},{3,6},{4}}
{{1,4,7},{2,8},{3,6},{5}}=>{{1,5,7},{2,8},{3,6},{4}}
{{1,4,6},{2,8},{3,7},{5}}=>{{1,5,6},{2,8},{3,7},{4}}
{{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,8},{3,5},{4},{6}}
{{1,5},{2,8},{3,4,7},{6}}=>{{1,5},{2,8},{3,4,7},{6}}
{{1,5},{2,3,8},{4,7},{6}}=>{{1,5},{2,3,8},{4,7},{6}}
{{1,2,5},{3,8},{4,7},{6}}=>{{1,5},{2},{3,8},{4,7},{6}}
{{1,5},{2,7},{3,4,8},{6}}=>{{1,5},{2,7},{3,4,8},{6}}
{{1,4,8},{2,7},{3,5},{6}}=>{{1,8},{2,7},{3,5},{4},{6}}
{{1,7},{2,6},{3,4,8},{5}}=>{{1,5,7},{2,6},{3,4,8}}
{{1,7},{2,3,6},{4,8},{5}}=>{{1,5,7},{2,3,6},{4,8}}
{{1,8},{2,3,6},{4,7},{5}}=>{{1,5,8},{2,3,6},{4,7}}
{{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,3,5},{4,7},{6}}
{{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5},{3,4,7},{6}}
{{1,8},{2,4,7},{3,5},{6}}=>{{1,8},{2,4,7},{3,5},{6}}
{{1,8},{2,4,7},{3,6},{5}}=>{{1,5,8},{2,4,7},{3,6}}
{{1,7},{2,4,8},{3,6},{5}}=>{{1,5,7},{2,4,8},{3,6}}
{{1,3,5},{2,8},{4,7},{6}}=>{{1,5},{2,8},{3},{4,7},{6}}
{{1,3,8},{2,7},{4,6},{5}}=>{{1,5,8},{2,7},{3},{4,6}}
{{1,6},{2,4,8},{3,7},{5}}=>{{1,5,6},{2,4,8},{3,7}}
{{1,6},{2,4,7},{3,8},{5}}=>{{1,5,6},{2,4,7},{3,8}}
{{1,7},{2,4,6},{3,8},{5}}=>{{1,5,7},{2,4,6},{3,8}}
{{1,7},{2,4,8},{3,5},{6}}=>{{1,7},{2,4,8},{3,5},{6}}
{{1,7},{2,3,5},{4,8},{6}}=>{{1,7},{2,3,5},{4,8},{6}}
{{1,2,7},{3,8},{4,6},{5}}=>{{1,5,7},{2},{3,8},{4,6}}
{{1,7},{2,8},{3,4,6},{5}}=>{{1,5,7},{2,8},{3,4,6}}
{{1,6},{2,8},{3,4,7},{5}}=>{{1,5,6},{2,8},{3,4,7}}
{{1,6},{2,3,7},{4,8},{5}}=>{{1,5,6},{2,3,7},{4,8}}
{{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,4,8}}
{{1,3,5},{2},{4,6,8},{7}}=>{{1,2,5},{3},{4,6,8},{7}}
{{1,3},{2,4,6,8},{5},{7}}=>{{1,3},{2,4,6,8},{5},{7}}
{{1},{2,4,6,8},{3},{5,7}}=>{{1},{2,4,6,8},{3},{5,7}}
{{1,3},{2},{4,6,8},{5,7}}=>{{1,2,3},{4,6,8},{5,7}}
{{1,3,6},{2},{4,8},{5,7}}=>{{1,2,6},{3},{4,8},{5,7}}
{{1,3,6},{2},{4,7},{5,8}}=>{{1,2,6},{3},{4,7},{5,8}}
{{1,3,5},{2},{4,7},{6,8}}=>{{1,2,5},{3},{4,7},{6,8}}
{{1,3,5,7},{2},{4,6},{8}}=>{{1,2,5,7},{3},{4,6},{8}}
{{1,3,7},{2},{4,6,8},{5}}=>{{1,2,7},{3},{4,6,8},{5}}
{{1,3,7},{2},{4,6},{5,8}}=>{{1,2,7},{3},{4,6},{5,8}}
{{1,3,5,7},{2},{4,8},{6}}=>{{1,2,5,7},{3},{4,8},{6}}
{{1,3},{2,4,8},{5,7},{6}}=>{{1,3},{2,4,8},{5,7},{6}}
{{1},{2,4,8},{3,5,7},{6}}=>{{1},{2,4,8},{3,5,7},{6}}
{{1,4},{2,8},{3,5,7},{6}}=>{{1,4},{2,8},{3,5,7},{6}}
{{1,4},{2,5,7},{3,8},{6}}=>{{1,4},{2,5,7},{3,8},{6}}
{{1,3},{2,5,7},{4,8},{6}}=>{{1,3},{2,5,7},{4,8},{6}}
{{1,3},{2,7},{4,6,8},{5}}=>{{1,3},{2,7},{4,6,8},{5}}
{{1,3,7},{2,4,6},{5},{8}}=>{{1,5,7},{2,4,6},{3},{8}}
{{1,7},{2,4,6},{3},{5,8}}=>{{1,3,7},{2,4,6},{5,8}}
{{1,5,7},{2,4,8},{3},{6}}=>{{1,3,7},{2,4,8},{5},{6}}
{{1},{2,8},{3,5,7},{4,6}}=>{{1},{2,8},{3,5,7},{4,6}}
{{1,7},{2,4,6},{3,5},{8}}=>{{1,7},{2,4,6},{3,5},{8}}
{{1,4,7},{2,6},{3,5},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
{{1},{2,5,8},{3,7},{4,6}}=>{{1},{2,5,8},{3,7},{4,6}}
{{1},{2,5,8},{3,6},{4,7}}=>{{1},{2,5,8},{3,6},{4,7}}
{{1},{2,4,8},{3,6},{5,7}}=>{{1},{2,4,8},{3,6},{5,7}}
{{1},{2,4,6,8},{3,5},{7}}=>{{1},{2,4,6,8},{3,5},{7}}
{{1,4},{2,6,8},{3,5},{7}}=>{{1,4},{2,6,8},{3,5},{7}}
{{1,4},{2,5},{3,6,8},{7}}=>{{1,4},{2,5},{3,6,8},{7}}
{{1,3},{2,5},{4,6,8},{7}}=>{{1,3},{2,5},{4,6,8},{7}}
{{1,5},{2,4,6,8},{3},{7}}=>{{1,3,5},{2,4,6,8},{7}}
{{1,5},{2,4},{3,6,8},{7}}=>{{1,5},{2,4},{3,6,8},{7}}
{{1},{2,6,8},{3,5,7},{4}}=>{{1},{2,6,8},{3,5,7},{4}}
{{1,6},{2,8},{3,5,7},{4}}=>{{1,4,6},{2,8},{3,5,7}}
{{1,6},{2,4,8},{3},{5,7}}=>{{1,3,6},{2,4,8},{5,7}}
{{1,6},{2,4,7},{3},{5,8}}=>{{1,3,6},{2,4,7},{5,8}}
{{1,5},{2,4,7},{3},{6,8}}=>{{1,3,5},{2,4,7},{6,8}}
{{1,5,7},{2,4,6},{3},{8}}=>{{1,3,7},{2,4,6},{5},{8}}
{{1,5,7},{2,4},{3,6},{8}}=>{{1,5,7},{2,4},{3,6},{8}}
{{1},{2,6,8},{3,5},{4,7}}=>{{1},{2,6,8},{3,5},{4,7}}
{{1},{2,4,6,8},{3,7},{5}}=>{{1},{2,4,6,8},{3,7},{5}}
{{1,6},{2,7},{3,5,8},{4}}=>{{1,4,6},{2,7},{3,5,8}}
{{1,3,5},{2,7},{4},{6,8}}=>{{1,4,5},{2,7},{3},{6,8}}
{{1,7},{2,6,8},{3,5},{4}}=>{{1,4,7},{2,6,8},{3,5}}
{{1,7},{2,6},{3,5,8},{4}}=>{{1,4,7},{2,6},{3,5,8}}
{{1,2},{3,4,6},{5,8},{7}}=>{{1,2},{3,4,6},{5,8},{7}}
{{1,2},{3,6},{4,5,8},{7}}=>{{1,2},{3,6},{4,5,8},{7}}
{{1,2},{3,5,6},{4,8},{7}}=>{{1,2},{3,5,6},{4,8},{7}}
{{1,2,5,6},{3},{4,8},{7}}=>{{1,3,5,6},{2},{4,8},{7}}
{{1,2,6},{3},{4,5,8},{7}}=>{{1,3,6},{2},{4,5,8},{7}}
{{1,6},{2,3},{4,5,8},{7}}=>{{1,6},{2,3},{4,5,8},{7}}
{{1,5,6},{2,3},{4,8},{7}}=>{{1,5,6},{2,3},{4,8},{7}}
{{1,5,6},{2,3,8},{4},{7}}=>{{1,4,6},{2,3,8},{5},{7}}
{{1,5,6},{2,8},{3,4},{7}}=>{{1,5,6},{2,8},{3,4},{7}}
{{1,5},{2,8},{3,4,6},{7}}=>{{1,5},{2,8},{3,4,6},{7}}
{{1,5},{2,3,8},{4,6},{7}}=>{{1,5},{2,3,8},{4,6},{7}}
{{1,6},{2,3,5,8},{4},{7}}=>{{1,4,6},{2,3,5,8},{7}}
{{1,2,5},{3,8},{4,6},{7}}=>{{1,5},{2},{3,8},{4,6},{7}}
{{1,2,4},{3,6},{5},{7,8}}=>{{1,4},{2},{3,6},{5},{7,8}}
{{1,2,4,6},{3},{5,8},{7}}=>{{1,3,4,6},{2},{5,8},{7}}
{{1,2,4},{3,8},{5,7},{6}}=>{{1,4},{2},{3,8},{5,7},{6}}
{{1,2,4},{3,8},{5},{6,7}}=>{{1,4},{2},{3,8},{5},{6,7}}
{{1,4},{2,3,8},{5},{6,7}}=>{{1,4},{2,3,8},{5},{6,7}}
{{1,3,4},{2,8},{5},{6,7}}=>{{1,4},{2,8},{3},{5},{6,7}}
{{1,3,4},{2,8},{5,7},{6}}=>{{1,4},{2,8},{3},{5,7},{6}}
{{1,4},{2,3,8},{5,7},{6}}=>{{1,4},{2,3,8},{5,7},{6}}
{{1,4,6},{2,3},{5,8},{7}}=>{{1,4,6},{2,3},{5,8},{7}}
{{1,4},{2,3,6},{5},{7,8}}=>{{1,4},{2,3,6},{5},{7,8}}
{{1,4},{2,3,6,8},{5},{7}}=>{{1,4},{2,3,6,8},{5},{7}}
{{1,4},{2,3,6},{5,8},{7}}=>{{1,4},{2,3,6},{5,8},{7}}
{{1,8},{2,4,5},{3,7},{6}}=>{{1,8},{2,4,5},{3,7},{6}}
{{1,3,8},{2,6},{4,5},{7}}=>{{1,8},{2,6},{3},{4,5},{7}}
{{1,3,4},{2,6},{5},{7,8}}=>{{1,4},{2,6},{3},{5},{7,8}}
{{1,6},{2,5,8},{3,4},{7}}=>{{1,6},{2,5,8},{3,4},{7}}
{{1,6},{2,4,5},{3,8},{7}}=>{{1,6},{2,4,5},{3,8},{7}}
{{1,4,5},{2,8},{3,6},{7}}=>{{1,5},{2,8},{3,6},{4},{7}}
{{1,3,8},{2,5,6},{4},{7}}=>{{1,4,8},{2,5,6},{3},{7}}
{{1,3,8},{2,5},{4},{6,7}}=>{{1,4,8},{2,5},{3},{6,7}}
{{1,5},{2,4},{3,7,8},{6}}=>{{1,5},{2,4},{3,7,8},{6}}
{{1,5,6},{2,4},{3,8},{7}}=>{{1,5,6},{2,4},{3,8},{7}}
{{1,4},{2,8},{3,5,6},{7}}=>{{1,4},{2,8},{3,5,6},{7}}
{{1,4},{2,7,8},{3,5},{6}}=>{{1,4},{2,7,8},{3,5},{6}}
{{1,4,7},{2,8},{3},{5,6}}=>{{1,3,7},{2,8},{4},{5,6}}
{{1,5,7},{2,8},{3,4},{6}}=>{{1,5,7},{2,8},{3,4},{6}}
{{1,5,7},{2,3,8},{4},{6}}=>{{1,4,7},{2,3,8},{5},{6}}
{{1,2,5},{3,7},{4},{6,8}}=>{{1,4,5},{2},{3,7},{6,8}}
{{1,5},{2,3,7},{4},{6,8}}=>{{1,4,5},{2,3,7},{6,8}}
{{1,4,5},{2,7},{3},{6,8}}=>{{1,3,5},{2,7},{4},{6,8}}
{{1,4},{2,7},{3},{5,6,8}}=>{{1,3,4},{2,7},{5,6,8}}
{{1,4},{2,6,7},{3},{5,8}}=>{{1,3,4},{2,6,7},{5,8}}
{{1,4},{2,6},{3},{5,7,8}}=>{{1,3,4},{2,6},{5,7,8}}
{{1,6},{2,5,7,8},{3},{4}}=>{{1,3,4,6},{2,5,7,8}}
{{1,6,7},{2,5,8},{3},{4}}=>{{1,3,4,7},{2,5,8},{6}}
{{1,7},{2,5,6,8},{3},{4}}=>{{1,3,4,7},{2,5,6,8}}
{{1,7},{2,6,8},{3},{4,5}}=>{{1,3,7},{2,6,8},{4,5}}
{{1,7},{2,3,6,8},{4},{5}}=>{{1,4,5,7},{2,3,6,8}}
{{1,2,8},{3,6},{4},{5,7}}=>{{1,4,8},{2},{3,6},{5,7}}
{{1,8},{2,6},{3},{4,5,7}}=>{{1,3,8},{2,6},{4,5,7}}
{{1,8},{2,5,6},{3},{4,7}}=>{{1,3,8},{2,5,6},{4,7}}
{{1,8},{2,5},{3},{4,6,7}}=>{{1,3,8},{2,5},{4,6,7}}
{{1,7,8},{2,5},{3},{4,6}}=>{{1,3,7,8},{2,5},{4,6}}
{{1,8},{2,4},{3,6,7},{5}}=>{{1,8},{2,4},{3,6,7},{5}}
{{1,7,8},{2,4},{3,6},{5}}=>{{1,7,8},{2,4},{3,6},{5}}
{{1,4},{2,3,7},{5,8},{6}}=>{{1,4},{2,3,7},{5,8},{6}}
{{1,3},{2,7},{4,5,8},{6}}=>{{1,3},{2,7},{4,5,8},{6}}
{{1,3},{2,6,7},{4,8},{5}}=>{{1,3},{2,6,7},{4,8},{5}}
{{1,3},{2,6},{4,7,8},{5}}=>{{1,3},{2,6},{4,7,8},{5}}
{{1,6},{2,4,7,8},{3},{5}}=>{{1,3,5,6},{2,4,7,8}}
{{1,7},{2,4,8},{3},{5,6}}=>{{1,3,7},{2,4,8},{5,6}}
{{1,7},{2,4,5,8},{3},{6}}=>{{1,3,6,7},{2,4,5,8}}
{{1,7},{2,5,8},{3,4},{6}}=>{{1,7},{2,5,8},{3,4},{6}}
{{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,3,5,8}}
{{1,2,7},{3},{4,6},{5,8}}=>{{1,3,7},{2},{4,6},{5,8}}
{{1,7},{2},{3,4,6},{5,8}}=>{{1,2,7},{3,4,6},{5,8}}
{{1,7},{2},{3,6},{4,5,8}}=>{{1,2,7},{3,6},{4,5,8}}
{{1,7},{2},{3,5,6},{4,8}}=>{{1,2,7},{3,5,6},{4,8}}
{{1,6,7},{2},{3,5},{4,8}}=>{{1,2,6,7},{3,5},{4,8}}
{{1,6},{2},{3,5},{4,7,8}}=>{{1,2,6},{3,5},{4,7,8}}
{{1,5},{2},{3,7,8},{4,6}}=>{{1,2,5},{3,7,8},{4,6}}
{{1,5},{2},{3,8},{4,6,7}}=>{{1,2,5},{3,8},{4,6,7}}
{{1,5,6},{2},{3,8},{4,7}}=>{{1,2,6},{3,8},{4,7},{5}}
{{1,6},{2},{3,8},{4,5,7}}=>{{1,2,6},{3,8},{4,5,7}}
{{1,6},{2},{3,4,8},{5,7}}=>{{1,2,6},{3,4,8},{5,7}}
{{1,2,6},{3},{4,8},{5,7}}=>{{1,3,6},{2},{4,8},{5,7}}
{{1,2,6,8},{3},{4,7},{5}}=>{{1,3,6,8},{2},{4,7},{5}}
{{1,6,8},{2,3},{4,7},{5}}=>{{1,6,8},{2,3},{4,7},{5}}
{{1,6,8},{2},{3,7},{4,5}}=>{{1,2,6,8},{3,7},{4,5}}
{{1,5,6,8},{2},{3,7},{4}}=>{{1,2,4,6,8},{3,7},{5}}
{{1,5,8},{2},{3,6,7},{4}}=>{{1,2,4,8},{3,6,7},{5}}
{{1,3,6,8},{2},{4},{5,7}}=>{{1,2,6,8},{3},{4},{5,7}}
{{1,4,6,8},{2},{3,5},{7}}=>{{1,2,6,8},{3,5},{4},{7}}
{{1,5,7},{2,3},{4,8},{6}}=>{{1,5,7},{2,3},{4,8},{6}}
{{1,4,8},{2},{3,6},{5,7}}=>{{1,2,8},{3,6},{4},{5,7}}
{{1,3,8},{2},{4,6},{5,7}}=>{{1,2,8},{3},{4,6},{5,7}}
{{1,4,7,8},{2},{3,6},{5}}=>{{1,2,7,8},{3,6},{4},{5}}
{{1,4,6,7},{2},{3,5},{8}}=>{{1,2,6,7},{3,5},{4},{8}}
{{1,4,8},{2},{3,7},{5,6}}=>{{1,2,8},{3,7},{4},{5,6}}
{{1,5,8},{2},{3,7},{4,6}}=>{{1,2,8},{3,7},{4,6},{5}}
{{1,5,8},{2},{3,6},{4,7}}=>{{1,2,8},{3,6},{4,7},{5}}
{{1,4,7},{2,3},{5,8},{6}}=>{{1,4,7},{2,3},{5,8},{6}}
{{1,3},{2,5,8},{4,7},{6}}=>{{1,3},{2,5,8},{4,7},{6}}
{{1,5},{2,4,7,8},{3},{6}}=>{{1,3,5},{2,4,7,8},{6}}
{{1,3},{2,4,6,7},{5},{8}}=>{{1,3},{2,4,6,7},{5},{8}}
{{1,3},{2,4,8},{5,6},{7}}=>{{1,3},{2,4,8},{5,6},{7}}
{{1,3},{2,5,8},{4,6},{7}}=>{{1,3},{2,5,8},{4,6},{7}}
{{1,6},{2,3,4},{5,8},{7}}=>{{1,6},{2,3,4},{5,8},{7}}
{{1,6},{2,4},{3,5,8},{7}}=>{{1,6},{2,4},{3,5,8},{7}}
{{1,4},{2,6},{3,5,8},{7}}=>{{1,4},{2,6},{3,5,8},{7}}
{{1,4},{2,5,6},{3,7},{8}}=>{{1,4},{2,5,6},{3,7},{8}}
{{1,4},{2,6,7},{3,8},{5}}=>{{1,4},{2,6,7},{3,8},{5}}
{{1,2,5},{3,6},{4},{7,8}}=>{{1,4,5},{2},{3,6},{7,8}}
{{1,2,4},{3,7},{5,6},{8}}=>{{1,4},{2},{3,7},{5,6},{8}}
{{1,3,4},{2,7},{5,6},{8}}=>{{1,4},{2,7},{3},{5,6},{8}}
{{1,6,7},{2,8},{3},{4,5}}=>{{1,3,6,7},{2,8},{4,5}}
{{1,5,6},{2,3},{4,7},{8}}=>{{1,5,6},{2,3},{4,7},{8}}
{{1,4,6},{2,3},{5,7},{8}}=>{{1,4,6},{2,3},{5,7},{8}}
{{1,4},{2,3,6},{5,7},{8}}=>{{1,4},{2,3,6},{5,7},{8}}
{{1,4},{2,3,7},{5},{6,8}}=>{{1,4},{2,3,7},{5},{6,8}}
{{1,2,4},{3,7},{5},{6,8}}=>{{1,4},{2},{3,7},{5},{6,8}}
{{1,3,4},{2,7},{5},{6,8}}=>{{1,4},{2,7},{3},{5},{6,8}}
{{1,2,7},{3},{4,5},{6,8}}=>{{1,3,7},{2},{4,5},{6,8}}
{{1,2,6},{3},{4},{5,7,8}}=>{{1,3,6},{2},{4},{5,7,8}}
{{1,7},{2,3,4},{5},{6,8}}=>{{1,7},{2,3,4},{5},{6,8}}
{{1,7},{2,4},{3,6,8},{5}}=>{{1,7},{2,4},{3,6,8},{5}}
{{1,4},{2,7},{3,6,8},{5}}=>{{1,4},{2,7},{3,6,8},{5}}
{{1,4},{2,6},{3,5,7},{8}}=>{{1,4},{2,6},{3,5,7},{8}}
{{1,6},{2,4},{3,5,7},{8}}=>{{1,6},{2,4},{3,5,7},{8}}
{{1,6},{2,3,4},{5,7},{8}}=>{{1,6},{2,3,4},{5,7},{8}}
{{1,3},{2,5,7},{4,6},{8}}=>{{1,3},{2,5,7},{4,6},{8}}
{{1,3},{2,4,7},{5,6},{8}}=>{{1,3},{2,4,7},{5,6},{8}}
{{1,5},{2,7,8},{3},{4,6}}=>{{1,3,5},{2,7,8},{4,6}}
{{1,7},{2,4},{3,5,6},{8}}=>{{1,7},{2,4},{3,5,6},{8}}
{{1,6},{2,5},{3,7,8},{4}}=>{{1,4,6},{2,5},{3,7,8}}
{{1,5},{2,6},{3,7,8},{4}}=>{{1,4,5},{2,6},{3,7,8}}
{{1,4},{2,8},{3,6,7},{5}}=>{{1,4},{2,8},{3,6,7},{5}}
{{1,4},{2,7},{3,5,6},{8}}=>{{1,4},{2,7},{3,5,6},{8}}
{{1,3},{2,4,5,6},{7,8}}=>{{1,3},{2,4,5,6},{7,8}}
{{1,4},{2,3,5,6},{7,8}}=>{{1,4},{2,3,5,6},{7,8}}
{{1,4},{2,3,5,7},{6,8}}=>{{1,4},{2,3,5,7},{6,8}}
{{1,3},{2,4,5,7},{6,8}}=>{{1,3},{2,4,5,7},{6,8}}
{{1,2},{3,4,5,7},{6,8}}=>{{1,2},{3,4,5,7},{6,8}}
{{1,3},{2,4,5,6,7,8}}=>{{1,3},{2,4,5,6,7,8}}
{{1,4},{2,3,5,6,7,8}}=>{{1,4},{2,3,5,6,7,8}}
{{1,5},{2,3,4,6,7,8}}=>{{1,5},{2,3,4,6,7,8}}
{{1,2},{3,4,6,7},{5,8}}=>{{1,2},{3,4,6,7},{5,8}}
{{1,3},{2,4,6,7},{5,8}}=>{{1,3},{2,4,6,7},{5,8}}
{{1,4},{2,3,6,7},{5,8}}=>{{1,4},{2,3,6,7},{5,8}}
{{1,5},{2,3,6,7},{4,8}}=>{{1,5},{2,3,6,7},{4,8}}
{{1,3},{2,4},{5,6,7,8}}=>{{1,3},{2,4},{5,6,7,8}}
{{1,4},{2,5},{3,6,7,8}}=>{{1,4},{2,5},{3,6,7,8}}
{{1,3},{2,5},{4,6,7,8}}=>{{1,3},{2,5},{4,6,7,8}}
{{1,2},{3,5},{4,6,7,8}}=>{{1,2},{3,5},{4,6,7,8}}
{{1,2},{3,6},{4,5,7,8}}=>{{1,2},{3,6},{4,5,7,8}}
{{1,3},{2,6},{4,5,7,8}}=>{{1,3},{2,6},{4,5,7,8}}
{{1,4},{2,6},{3,5,7,8}}=>{{1,4},{2,6},{3,5,7,8}}
{{1,5},{2,6},{3,4,7,8}}=>{{1,5},{2,6},{3,4,7,8}}
{{1,2},{3,5,6,8},{4,7}}=>{{1,2},{3,5,6,8},{4,7}}
{{1,3},{2,5,6,8},{4,7}}=>{{1,3},{2,5,6,8},{4,7}}
{{1,4},{2,5,6,8},{3,7}}=>{{1,4},{2,5,6,8},{3,7}}
{{1,5},{2,4,6,8},{3,7}}=>{{1,5},{2,4,6,8},{3,7}}
{{1,4,5,8},{2,3,6,7}}=>{{1,8},{2,3,6,7},{4},{5}}
{{1,4},{2},{3,5,6},{7,8}}=>{{1,2,4},{3,5,6},{7,8}}
{{1,4,5},{2},{3,6},{7,8}}=>{{1,2,5},{3,6},{4},{7,8}}
{{1,5},{2},{3,4,6},{7,8}}=>{{1,2,5},{3,4,6},{7,8}}
{{1,6},{2},{3,4,7,8},{5}}=>{{1,2,5,6},{3,4,7,8}}
{{1,5},{2},{3,4,7,8},{6}}=>{{1,2,5},{3,4,7,8},{6}}
{{1,4,5},{2},{3,7,8},{6}}=>{{1,2,5},{3,7,8},{4},{6}}
{{1,4,5},{2},{3,8},{6,7}}=>{{1,2,5},{3,8},{4},{6,7}}
{{1,6,7},{2},{3,4,8},{5}}=>{{1,2,5,7},{3,4,8},{6}}
{{1,7},{2},{3,4,8},{5,6}}=>{{1,2,7},{3,4,8},{5,6}}
{{1,4,6,7},{2},{3,8},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
{{1,4,6},{2},{3,7,8},{5}}=>{{1,2,6},{3,7,8},{4},{5}}
{{1,3,6},{2},{4},{5,7,8}}=>{{1,2,6},{3},{4},{5,7,8}}
{{1,2},{3,6},{4},{5,7,8}}=>{{1,2},{3,6},{4},{5,7,8}}
{{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4},{3,5,7,8},{6}}
{{1,6},{2,4},{3},{5,7,8}}=>{{1,3,6},{2,4},{5,7,8}}
{{1,6,7},{2,3},{4},{5,8}}=>{{1,6,7},{2,3},{4},{5,8}}
{{1,7},{2,4},{3},{5,6,8}}=>{{1,3,7},{2,4},{5,6,8}}
{{1,6,7},{2,4},{3},{5,8}}=>{{1,3,6,7},{2,4},{5,8}}
{{1,2},{3,6,7},{4},{5,8}}=>{{1,2},{3,6,7},{4},{5,8}}
{{1,3,6,7},{2},{4},{5,8}}=>{{1,2,6,7},{3},{4},{5,8}}
{{1,3,7},{2},{4},{5,6,8}}=>{{1,2,7},{3},{4},{5,6,8}}
{{1,2},{3,7},{4},{5,6,8}}=>{{1,2},{3,7},{4},{5,6,8}}
{{1,4,7},{2},{3,8},{5,6}}=>{{1,2,7},{3,8},{4},{5,6}}
{{1,7},{2,4,5},{3},{6,8}}=>{{1,3,7},{2,4,5},{6,8}}
{{1,8},{2,4,5},{3,6},{7}}=>{{1,8},{2,4,5},{3,6},{7}}
{{1,8},{2,4},{3,5,6},{7}}=>{{1,8},{2,4},{3,5,6},{7}}
{{1,5,8},{2,3},{4,6},{7}}=>{{1,5,8},{2,3},{4,6},{7}}
{{1,8},{2,5},{3,4,6},{7}}=>{{1,8},{2,5},{3,4,6},{7}}
{{1,4,8},{2},{3,5,6},{7}}=>{{1,2,8},{3,5,6},{4},{7}}
{{1,4},{2},{3,6,8},{5,7}}=>{{1,2,4},{3,6,8},{5,7}}
{{1,5,7},{2,3},{4},{6,8}}=>{{1,5,7},{2,3},{4},{6,8}}
{{1,4,6},{2},{3},{5,7,8}}=>{{1,2,3,6},{4},{5,7,8}}
{{1},{2,5,6},{3,7},{4,8}}=>{{1},{2,5,6},{3,7},{4,8}}
{{1},{2,5,6},{3},{4,7,8}}=>{{1},{2,5,6},{3},{4,7,8}}
{{1},{2,5},{3,7},{4,6,8}}=>{{1},{2,5},{3,7},{4,6,8}}
{{1},{2},{3,6,7},{4,5,8}}=>{{1},{2},{3,6,7},{4,5,8}}
{{1},{2,3,6,7},{4},{5,8}}=>{{1},{2,3,6,7},{4},{5,8}}
{{1},{2,3,6},{4,8},{5,7}}=>{{1},{2,3,6},{4,8},{5,7}}
{{1},{2},{3,4,6,8},{5,7}}=>{{1},{2},{3,4,6,8},{5,7}}
{{1},{2},{3,6},{4,5,7,8}}=>{{1},{2},{3,6},{4,5,7,8}}
{{1},{2,5},{3},{4,6,7,8}}=>{{1},{2,5},{3},{4,6,7,8}}
{{1},{2,5},{3,6},{4,7,8}}=>{{1},{2,5},{3,6},{4,7,8}}
{{1},{2,5},{3,6,7},{4,8}}=>{{1},{2,5},{3,6,7},{4,8}}
{{1},{2},{3,5,6,7},{4,8}}=>{{1},{2},{3,5,6,7},{4,8}}
{{1},{2},{3,5,6},{4,7,8}}=>{{1},{2},{3,5,6},{4,7,8}}
{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,5},{4,6,7,8}}
{{1},{2,4,8},{3,5},{6,7}}=>{{1},{2,4,8},{3,5},{6,7}}
{{1},{2,4},{3,6,8},{5,7}}=>{{1},{2,4},{3,6,8},{5,7}}
{{1},{2,4,7},{3,6},{5,8}}=>{{1},{2,4,7},{3,6},{5,8}}
{{1,3},{2,8},{4,5,7},{6}}=>{{1,3},{2,8},{4,5,7},{6}}
{{1,3},{2,4,7,8},{5},{6}}=>{{1,3},{2,4,7,8},{5},{6}}
{{1,7},{2,3,4,8},{5},{6}}=>{{1,5,6,7},{2,3,4,8}}
{{1},{2,4,7},{3},{5,6,8}}=>{{1},{2,4,7},{3},{5,6,8}}
{{1,7},{2},{3,4,5},{6,8}}=>{{1,2,7},{3,4,5},{6,8}}
{{1},{2,3,7},{4,8},{5,6}}=>{{1},{2,3,7},{4,8},{5,6}}
{{1},{2},{3,7},{4,5,6,8}}=>{{1},{2},{3,7},{4,5,6,8}}
{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,5,7},{4,6,8}}
{{1},{2,6},{3,5},{4,7,8}}=>{{1},{2,6},{3,5},{4,7,8}}
{{1},{2,6},{3,5,7},{4,8}}=>{{1},{2,6},{3,5,7},{4,8}}
{{1,5},{2},{3,6,7},{4,8}}=>{{1,2,5},{3,6,7},{4,8}}
{{1,5},{2},{3,6},{4,7,8}}=>{{1,2,5},{3,6},{4,7,8}}
{{1,5},{2},{3},{4,6,7,8}}=>{{1,2,3,5},{4,6,7,8}}
{{1},{2,6},{3},{4,5,7,8}}=>{{1},{2,6},{3},{4,5,7,8}}
{{1,6},{2},{3,4},{5,7,8}}=>{{1,2,6},{3,4},{5,7,8}}
{{1,2,6},{3},{4,7,8},{5}}=>{{1,3,6},{2},{4,7,8},{5}}
{{1,6},{2},{3,4,7},{5,8}}=>{{1,2,6},{3,4,7},{5,8}}
{{1},{2,6},{3,7},{4,5,8}}=>{{1},{2,6},{3,7},{4,5,8}}
{{1,5},{2},{3,7},{4,6,8}}=>{{1,2,5},{3,7},{4,6,8}}
{{1,5},{2,6},{3},{4,7,8}}=>{{1,3,5},{2,6},{4,7,8}}
{{1,3,6},{2,5},{4},{7,8}}=>{{1,4,6},{2,5},{3},{7,8}}
{{1,5},{2,4,6},{3},{7,8}}=>{{1,3,5},{2,4,6},{7,8}}
{{1,4,5},{2,6},{3},{7,8}}=>{{1,3,5},{2,6},{4},{7,8}}
{{1,5,8},{2,7},{3,4},{6}}=>{{1,5,8},{2,7},{3,4},{6}}
{{1,4,5},{2,8},{3},{6,7}}=>{{1,3,5},{2,8},{4},{6,7}}
{{1,6,7},{2,8},{3,5},{4}}=>{{1,4,6,7},{2,8},{3,5}}
{{1,6},{2,8},{3},{4,5,7}}=>{{1,3,6},{2,8},{4,5,7}}
{{1,6},{2,5,8},{3},{4,7}}=>{{1,3,6},{2,5,8},{4,7}}
{{1,6},{2,4,5,8},{3},{7}}=>{{1,3,6},{2,4,5,8},{7}}
{{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,6,8}}
{{1,7},{2,5},{3,6,8},{4}}=>{{1,4,7},{2,5},{3,6,8}}
{{1,8},{2,6},{3,5,7},{4}}=>{{1,4,8},{2,6},{3,5,7}}
{{1,5,8},{2,3},{4,7},{6}}=>{{1,5,8},{2,3},{4,7},{6}}
{{1,7},{2,3},{4,6,8},{5}}=>{{1,7},{2,3},{4,6,8},{5}}
{{1,6,7},{2,3},{4,8},{5}}=>{{1,6,7},{2,3},{4,8},{5}}
{{1,8},{2,5,6},{3,7},{4}}=>{{1,4,8},{2,5,6},{3,7}}
{{1,3,8},{2,6},{4},{5,7}}=>{{1,4,8},{2,6},{3},{5,7}}
{{1,6,7},{2,5},{3,8},{4}}=>{{1,4,6,7},{2,5},{3,8}}
{{1,5},{2,6,7},{3},{4,8}}=>{{1,3,5},{2,6,7},{4,8}}
{{1,3,8},{2,7},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}
{{1,5,6},{2,4,8},{3},{7}}=>{{1,3,6},{2,4,8},{5},{7}}
{{1,5,6},{2,8},{3},{4,7}}=>{{1,3,6},{2,8},{4,7},{5}}
{{1,5,7},{2},{3,6,8},{4}}=>{{1,2,4,7},{3,6,8},{5}}
{{1,5},{2},{3,6,8},{4,7}}=>{{1,2,5},{3,6,8},{4,7}}
{{1,6,8},{2,5},{3},{4,7}}=>{{1,3,6,8},{2,5},{4,7}}
{{1,5},{2,6,8},{3},{4,7}}=>{{1,3,5},{2,6,8},{4,7}}
{{1,5,7},{2,6},{3},{4,8}}=>{{1,3,7},{2,6},{4,8},{5}}
{{1,6},{2,5,7},{3},{4,8}}=>{{1,3,6},{2,5,7},{4,8}}
{{1,5,7},{2},{3,6},{4,8}}=>{{1,2,7},{3,6},{4,8},{5}}
{{1,5,7},{2},{3,8},{4,6}}=>{{1,2,7},{3,8},{4,6},{5}}
{{1,5,6},{2},{3,7},{4,8}}=>{{1,2,6},{3,7},{4,8},{5}}
{{1,5,8},{2,6},{3},{4,7}}=>{{1,3,8},{2,6},{4,7},{5}}
{{1,7},{2,5,8},{3,6},{4}}=>{{1,4,7},{2,5,8},{3,6}}
{{1,7},{2,5,8},{3},{4,6}}=>{{1,3,7},{2,5,8},{4,6}}
{{1,7},{2,5,6},{3},{4,8}}=>{{1,3,7},{2,5,6},{4,8}}
{{1,6,7},{2,5},{3},{4,8}}=>{{1,3,6,7},{2,5},{4,8}}
{{1,6},{2,5},{3},{4,7,8}}=>{{1,3,6},{2,5},{4,7,8}}
{{1,5,6},{2,7},{3},{4,8}}=>{{1,3,6},{2,7},{4,8},{5}}
{{1,5,8},{2,7},{3},{4,6}}=>{{1,3,8},{2,7},{4,6},{5}}
{{1,6},{2,5,8},{3,7},{4}}=>{{1,4,6},{2,5,8},{3,7}}
{{1,5,6},{2,8},{3,7},{4}}=>{{1,4,6},{2,8},{3,7},{5}}
{{1,5},{2,8},{3,6,7},{4}}=>{{1,4,5},{2,8},{3,6,7}}
{{1,5},{2,7,8},{3,6},{4}}=>{{1,4,5},{2,7,8},{3,6}}
{{1,8},{2,5},{3,6,7},{4}}=>{{1,4,8},{2,5},{3,6,7}}
{{1,8},{2,5,7},{3},{4,6}}=>{{1,3,8},{2,5,7},{4,6}}
{{1,5,7},{2,8},{3,6},{4}}=>{{1,4,7},{2,8},{3,6},{5}}
{{1,5},{2,7},{3,6,8},{4}}=>{{1,4,5},{2,7},{3,6,8}}
{{1,7},{2,5},{3},{4,6,8}}=>{{1,3,7},{2,5},{4,6,8}}
{{1,6,8},{2,5},{3,7},{4}}=>{{1,4,6,8},{2,5},{3,7}}
{{1,5},{2,6,8},{3,7},{4}}=>{{1,4,5},{2,6,8},{3,7}}
{{1,6},{2,5,7},{3,8},{4}}=>{{1,4,6},{2,5,7},{3,8}}
{{1,5,7},{2,8},{3},{4,6}}=>{{1,3,7},{2,8},{4,6},{5}}
{{1,5},{2,8},{3},{4,6,7}}=>{{1,3,5},{2,8},{4,6,7}}
{{1,6},{2,7,8},{3,5},{4}}=>{{1,4,6},{2,7,8},{3,5}}
{{1,7},{2,8},{3,5,6},{4}}=>{{1,4,7},{2,8},{3,5,6}}
{{1,7},{2,5,6},{3,8},{4}}=>{{1,4,7},{2,5,6},{3,8}}
{{1,5},{2,6,7},{3,8},{4}}=>{{1,4,5},{2,6,7},{3,8}}
{{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}}
{{1},{2},{3},{4},{5},{6},{7},{8,9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9}}
{{1},{2},{3},{4},{5},{6},{7,9},{8}}=>{{1},{2},{3},{4},{5},{6},{7,9},{8}}
{{1},{2},{3},{4},{5},{6,9},{7},{8}}=>{{1},{2},{3},{4},{5},{6,9},{7},{8}}
{{1},{2},{3},{4},{5,9},{6},{7},{8}}=>{{1},{2},{3},{4},{5,9},{6},{7},{8}}
{{1},{2},{3},{4,9},{5},{6},{7},{8}}=>{{1},{2},{3},{4,9},{5},{6},{7},{8}}
{{1},{2},{3,9},{4},{5},{6},{7},{8}}=>{{1},{2},{3,9},{4},{5},{6},{7},{8}}
{{1},{2,9},{3},{4},{5},{6},{7},{8}}=>{{1},{2,9},{3},{4},{5},{6},{7},{8}}
{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1,2,3,4,5,6,7,8,9}}
{{1},{2},{3},{4},{5},{6},{7,8,9}}=>{{1},{2},{3},{4},{5},{6},{7,8,9}}
{{1},{2},{3},{4},{5},{6,9},{7,8}}=>{{1},{2},{3},{4},{5},{6,9},{7,8}}
{{1},{2},{3},{4},{5,9},{6,7},{8}}=>{{1},{2},{3},{4},{5,9},{6,7},{8}}
{{1},{2},{3},{4,9},{5,6},{7},{8}}=>{{1},{2},{3},{4,9},{5,6},{7},{8}}
{{1},{2},{3,9},{4,5},{6},{7},{8}}=>{{1},{2},{3,9},{4,5},{6},{7},{8}}
{{1},{2,9},{3,4},{5},{6},{7},{8}}=>{{1},{2,9},{3,4},{5},{6},{7},{8}}
{{1,9},{2,3},{4},{5},{6},{7},{8}}=>{{1,9},{2,3},{4},{5},{6},{7},{8}}
{{1,2,3,4,5,6,7,8},{9}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}
{{1},{2,3,4,5,6,7,8,9}}=>{{1},{2,3,4,5,6,7,8,9}}
{{1,2,3,4,5,6,8},{7},{9}}=>{{1,7,8},{2},{3},{4},{5},{6},{9}}
{{1},{2,3,4,5,6,7,9},{8}}=>{{1},{2,3,4,5,6,7,9},{8}}
{{1,2,3,4,5,8},{6,7},{9}}=>{{1,8},{2},{3},{4},{5},{6,7},{9}}
{{1,2,3,4,5,7,8},{6},{9}}=>{{1,6,7,8},{2},{3},{4},{5},{9}}
{{1},{2,3,4,5,6,9},{7,8}}=>{{1},{2,3,4,5,6,9},{7,8}}
{{1},{2,3,4,5,6,8,9},{7}}=>{{1},{2,3,4,5,6,8,9},{7}}
{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}
{{1},{2},{3},{4},{5},{6},{7,10},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7,10},{8},{9}}
{{1},{2},{3},{4},{5},{6,10},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6,10},{7},{8},{9}}
{{1},{2},{3},{4},{5,10},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5,10},{6},{7},{8},{9}}
{{1},{2},{3},{4,10},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4,10},{5},{6},{7},{8},{9}}
{{1},{2},{3,10},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3,10},{4},{5},{6},{7},{8},{9}}
{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}
{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,7,8,9,10}}
{{1,2,3,4,5,6,7,8,9},{10}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}
{{1},{2,3,4,5,6,7,8,9,10}}=>{{1},{2,3,4,5,6,7,8,9,10}}
{{1,2,3,4,5,6,7,9},{8},{10}}=>{{1,8,9},{2},{3},{4},{5},{6},{7},{10}}
{{1},{2,3,4,5,6,7,8,10},{9}}=>{{1},{2,3,4,5,6,7,8,10},{9}}
{{1,2,3,4,5,6,7,8,9,10},{11}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9},{11}}
{{1},{2,3,4,5,6,7,8,9,10,11}}=>{{1},{2,3,4,5,6,7,8,9,10,11}}
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Description
Switch the first closer and the minimum of the smallest closer and the second element of the block containing 1 in a set partition.
More precisely, this involution implements a joint symmetry between St000971The smallest closer of a set partition. and St001784The minimum of the smallest closer and the second element of the block containing 1 in a set partition..
More precisely, this involution implements a joint symmetry between St000971The smallest closer of a set partition. and St001784The minimum of the smallest closer and the second element of the block containing 1 in a set partition..
References
[1] Callan, D. An involution on set partitions arXiv:2204.02556
Properties
graded, involutive
Sage code
def mapping(P): """ EXAMPLES:: sage: mapping(SetPartition([[3],[4],[7],[8,5,2],[9,6,1]])) {{1, 3, 4, 9}, {2, 5, 8}, {6}, {7}} sage: mapping(SetPartition([[3],[4],[6,5,2],[7],[9,8,1]])) {{1, 3, 4, 8, 9}, {2, 5, 6}, {7}} sage: n = 10 sage: all(mapping(mapping(P)) == P for P in SetPartitions(n)) True """ if not P: return P P = sorted((sorted(b) for b in P), key=max) r = None for b in P: if b[0] == 1: b1 = b if len(b1) == 1: y = 1 break s = b[1] if len(b) > 1 and (r is None or r > b[-1]): r = b[-1] else: y = min(r, s) x = P[0][-1] # smallest max if x == y: result = P elif x < y: if r > s: i = 0 while len(P[i]) == 1 and P[i][0] < s: i += 1 initial_singletons = sum(P[:i], []) del b1[1] b1.extend(initial_singletons) result = P[i:] + [[s]] else: i = 0 while len(P[i]) == 1: i += 1 initial_singletons = sum(P[:i], []) b1.extend(initial_singletons) result = P[i:] else: if len(P[0]) == 1: initial_singletons = [] while b1[1] < x: initial_singletons.append([b1[1]]) del b1[1] b1.append(x) result = initial_singletons + P[1:] else: initial_singletons = [] while b1[1] < x: initial_singletons.append([b1[1]]) del b1[1] result = initial_singletons + P return SetPartition(result)
Weight
40
Created
Apr 12, 2022 at 15:54 by Martin Rubey
Updated
Apr 12, 2022 at 15:54 by Martin Rubey
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