Identifier
Images
=>
Cc0009;cc-rep-0Cc0009;cc-rep-1
{{1}}=>{{1}}
{{1,2}}=>{{1,2}}
{{1},{2}}=>{{1},{2}}
{{1,2,3}}=>{{1,2,3}}
{{1,2},{3}}=>{{1,2},{3}}
{{1,3},{2}}=>{{1,3},{2}}
{{1},{2,3}}=>{{1},{2,3}}
{{1},{2},{3}}=>{{1},{2},{3}}
{{1,2,3,4}}=>{{1,2,3,4}}
{{1,2,3},{4}}=>{{1,2,3},{4}}
{{1,2,4},{3}}=>{{1,2,4},{3}}
{{1,2},{3,4}}=>{{1,2},{3,4}}
{{1,2},{3},{4}}=>{{1,2},{3},{4}}
{{1,3,4},{2}}=>{{1,3,4},{2}}
{{1,3},{2,4}}=>{{1,4},{2,3}}
{{1,3},{2},{4}}=>{{1,3},{2},{4}}
{{1,4},{2,3}}=>{{1,3},{2,4}}
{{1},{2,3,4}}=>{{1},{2,3,4}}
{{1},{2,3},{4}}=>{{1},{2,3},{4}}
{{1,4},{2},{3}}=>{{1,4},{2},{3}}
{{1},{2,4},{3}}=>{{1},{2,4},{3}}
{{1},{2},{3,4}}=>{{1},{2},{3,4}}
{{1},{2},{3},{4}}=>{{1},{2},{3},{4}}
{{1,2,3,4,5}}=>{{1,2,3,4,5}}
{{1,2,3,4},{5}}=>{{1,2,3,4},{5}}
{{1,2,3,5},{4}}=>{{1,2,3,5},{4}}
{{1,2,3},{4,5}}=>{{1,2,3},{4,5}}
{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}
{{1,2,4,5},{3}}=>{{1,2,4,5},{3}}
{{1,2,4},{3,5}}=>{{1,2,5},{3,4}}
{{1,2,4},{3},{5}}=>{{1,2,4},{3},{5}}
{{1,2,5},{3,4}}=>{{1,2,4},{3,5}}
{{1,2},{3,4,5}}=>{{1,2},{3,4,5}}
{{1,2},{3,4},{5}}=>{{1,2},{3,4},{5}}
{{1,2,5},{3},{4}}=>{{1,2,5},{3},{4}}
{{1,2},{3,5},{4}}=>{{1,2},{3,5},{4}}
{{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}
{{1,2},{3},{4},{5}}=>{{1,2},{3},{4},{5}}
{{1,3,4,5},{2}}=>{{1,3,4,5},{2}}
{{1,3,4},{2,5}}=>{{1,5},{2,3,4}}
{{1,3,4},{2},{5}}=>{{1,3,4},{2},{5}}
{{1,3,5},{2,4}}=>{{1,4},{2,3,5}}
{{1,3},{2,4,5}}=>{{1,4,5},{2,3}}
{{1,3},{2,4},{5}}=>{{1,4},{2,3},{5}}
{{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}
{{1,3},{2,5},{4}}=>{{1,5},{2,3},{4}}
{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}
{{1,3},{2},{4},{5}}=>{{1,3},{2},{4},{5}}
{{1,4,5},{2,3}}=>{{1,3},{2,4,5}}
{{1,4},{2,3,5}}=>{{1,3,4},{2,5}}
{{1,4},{2,3},{5}}=>{{1,3},{2,4},{5}}
{{1,5},{2,3,4}}=>{{1,3,5},{2,4}}
{{1},{2,3,4,5}}=>{{1},{2,3,4,5}}
{{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}
{{1,5},{2,3},{4}}=>{{1,3},{2,5},{4}}
{{1},{2,3,5},{4}}=>{{1},{2,3,5},{4}}
{{1},{2,3},{4,5}}=>{{1},{2,3},{4,5}}
{{1},{2,3},{4},{5}}=>{{1},{2,3},{4},{5}}
{{1,4,5},{2},{3}}=>{{1,4,5},{2},{3}}
{{1,4},{2,5},{3}}=>{{1,5},{2,4},{3}}
{{1,4},{2},{3,5}}=>{{1,5},{2},{3,4}}
{{1,4},{2},{3},{5}}=>{{1,4},{2},{3},{5}}
{{1,5},{2,4},{3}}=>{{1,4},{2,5},{3}}
{{1},{2,4,5},{3}}=>{{1},{2,4,5},{3}}
{{1},{2,4},{3,5}}=>{{1},{2,5},{3,4}}
{{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}
{{1,5},{2},{3,4}}=>{{1,4},{2},{3,5}}
{{1},{2,5},{3,4}}=>{{1},{2,4},{3,5}}
{{1},{2},{3,4,5}}=>{{1},{2},{3,4,5}}
{{1},{2},{3,4},{5}}=>{{1},{2},{3,4},{5}}
{{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}
{{1},{2,5},{3},{4}}=>{{1},{2,5},{3},{4}}
{{1},{2},{3,5},{4}}=>{{1},{2},{3,5},{4}}
{{1},{2},{3},{4,5}}=>{{1},{2},{3},{4,5}}
{{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}
{{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}
{{1,2,3,4,5},{6}}=>{{1,2,3,4,5},{6}}
{{1,2,3,4,6},{5}}=>{{1,2,3,4,6},{5}}
{{1,2,3,4},{5,6}}=>{{1,2,3,4},{5,6}}
{{1,2,3,4},{5},{6}}=>{{1,2,3,4},{5},{6}}
{{1,2,3,5,6},{4}}=>{{1,2,3,5,6},{4}}
{{1,2,3,5},{4,6}}=>{{1,2,3,6},{4,5}}
{{1,2,3,5},{4},{6}}=>{{1,2,3,5},{4},{6}}
{{1,2,3,6},{4,5}}=>{{1,2,3,5},{4,6}}
{{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}
{{1,2,3},{4,5},{6}}=>{{1,2,3},{4,5},{6}}
{{1,2,3,6},{4},{5}}=>{{1,2,3,6},{4},{5}}
{{1,2,3},{4,6},{5}}=>{{1,2,3},{4,6},{5}}
{{1,2,3},{4},{5,6}}=>{{1,2,3},{4},{5,6}}
{{1,2,3},{4},{5},{6}}=>{{1,2,3},{4},{5},{6}}
{{1,2,4,5,6},{3}}=>{{1,2,4,5,6},{3}}
{{1,2,4,5},{3,6}}=>{{1,2,6},{3,4,5}}
{{1,2,4,5},{3},{6}}=>{{1,2,4,5},{3},{6}}
{{1,2,4,6},{3,5}}=>{{1,2,5},{3,4,6}}
{{1,2,4},{3,5,6}}=>{{1,2,5,6},{3,4}}
{{1,2,4},{3,5},{6}}=>{{1,2,5},{3,4},{6}}
{{1,2,4,6},{3},{5}}=>{{1,2,4,6},{3},{5}}
{{1,2,4},{3,6},{5}}=>{{1,2,6},{3,4},{5}}
{{1,2,4},{3},{5,6}}=>{{1,2,4},{3},{5,6}}
{{1,2,4},{3},{5},{6}}=>{{1,2,4},{3},{5},{6}}
{{1,2,5,6},{3,4}}=>{{1,2,4},{3,5,6}}
{{1,2,5},{3,4,6}}=>{{1,2,4,5},{3,6}}
{{1,2,5},{3,4},{6}}=>{{1,2,4},{3,5},{6}}
{{1,2,6},{3,4,5}}=>{{1,2,4,6},{3,5}}
{{1,2},{3,4,5,6}}=>{{1,2},{3,4,5,6}}
{{1,2},{3,4,5},{6}}=>{{1,2},{3,4,5},{6}}
{{1,2,6},{3,4},{5}}=>{{1,2,4},{3,6},{5}}
{{1,2},{3,4,6},{5}}=>{{1,2},{3,4,6},{5}}
{{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}
{{1,2},{3,4},{5},{6}}=>{{1,2},{3,4},{5},{6}}
{{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}
{{1,2,5},{3,6},{4}}=>{{1,2,6},{3,5},{4}}
{{1,2,5},{3},{4,6}}=>{{1,2,6},{3},{4,5}}
{{1,2,5},{3},{4},{6}}=>{{1,2,5},{3},{4},{6}}
{{1,2,6},{3,5},{4}}=>{{1,2,5},{3,6},{4}}
{{1,2},{3,5,6},{4}}=>{{1,2},{3,5,6},{4}}
{{1,2},{3,5},{4,6}}=>{{1,2},{3,6},{4,5}}
{{1,2},{3,5},{4},{6}}=>{{1,2},{3,5},{4},{6}}
{{1,2,6},{3},{4,5}}=>{{1,2,5},{3},{4,6}}
{{1,2},{3,6},{4,5}}=>{{1,2},{3,5},{4,6}}
{{1,2},{3},{4,5,6}}=>{{1,2},{3},{4,5,6}}
{{1,2},{3},{4,5},{6}}=>{{1,2},{3},{4,5},{6}}
{{1,2,6},{3},{4},{5}}=>{{1,2,6},{3},{4},{5}}
{{1,2},{3,6},{4},{5}}=>{{1,2},{3,6},{4},{5}}
{{1,2},{3},{4,6},{5}}=>{{1,2},{3},{4,6},{5}}
{{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}
{{1,2},{3},{4},{5},{6}}=>{{1,2},{3},{4},{5},{6}}
{{1,3,4,5,6},{2}}=>{{1,3,4,5,6},{2}}
{{1,3,4,5},{2,6}}=>{{1,6},{2,3,4,5}}
{{1,3,4,5},{2},{6}}=>{{1,3,4,5},{2},{6}}
{{1,3,4,6},{2,5}}=>{{1,5},{2,3,4,6}}
{{1,3,4},{2,5,6}}=>{{1,5,6},{2,3,4}}
{{1,3,4},{2,5},{6}}=>{{1,5},{2,3,4},{6}}
{{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}
{{1,3,4},{2,6},{5}}=>{{1,6},{2,3,4},{5}}
{{1,3,4},{2},{5,6}}=>{{1,3,4},{2},{5,6}}
{{1,3,4},{2},{5},{6}}=>{{1,3,4},{2},{5},{6}}
{{1,3,5,6},{2,4}}=>{{1,4},{2,3,5,6}}
{{1,3,5},{2,4,6}}=>{{1,4,5},{2,3,6}}
{{1,3,5},{2,4},{6}}=>{{1,4},{2,3,5},{6}}
{{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}}
{{1,3},{2,4,5,6}}=>{{1,4,5,6},{2,3}}
{{1,3},{2,4,5},{6}}=>{{1,4,5},{2,3},{6}}
{{1,3,6},{2,4},{5}}=>{{1,4},{2,3,6},{5}}
{{1,3},{2,4,6},{5}}=>{{1,4,6},{2,3},{5}}
{{1,3},{2,4},{5,6}}=>{{1,4},{2,3},{5,6}}
{{1,3},{2,4},{5},{6}}=>{{1,4},{2,3},{5},{6}}
{{1,3,5,6},{2},{4}}=>{{1,3,5,6},{2},{4}}
{{1,3,5},{2,6},{4}}=>{{1,6},{2,3,5},{4}}
{{1,3,5},{2},{4,6}}=>{{1,3,6},{2},{4,5}}
{{1,3,5},{2},{4},{6}}=>{{1,3,5},{2},{4},{6}}
{{1,3,6},{2,5},{4}}=>{{1,5},{2,3,6},{4}}
{{1,3},{2,5,6},{4}}=>{{1,5,6},{2,3},{4}}
{{1,3},{2,5},{4,6}}=>{{1,6},{2,3},{4,5}}
{{1,3},{2,5},{4},{6}}=>{{1,5},{2,3},{4},{6}}
{{1,3,6},{2},{4,5}}=>{{1,3,5},{2},{4,6}}
{{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}
{{1,3},{2},{4,5,6}}=>{{1,3},{2},{4,5,6}}
{{1,3},{2},{4,5},{6}}=>{{1,3},{2},{4,5},{6}}
{{1,3,6},{2},{4},{5}}=>{{1,3,6},{2},{4},{5}}
{{1,3},{2,6},{4},{5}}=>{{1,6},{2,3},{4},{5}}
{{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}
{{1,3},{2},{4},{5,6}}=>{{1,3},{2},{4},{5,6}}
{{1,3},{2},{4},{5},{6}}=>{{1,3},{2},{4},{5},{6}}
{{1,4,5,6},{2,3}}=>{{1,3},{2,4,5,6}}
{{1,4,5},{2,3,6}}=>{{1,3,4,5},{2,6}}
{{1,4,5},{2,3},{6}}=>{{1,3},{2,4,5},{6}}
{{1,4,6},{2,3,5}}=>{{1,3,4,6},{2,5}}
{{1,4},{2,3,5,6}}=>{{1,3,4},{2,5,6}}
{{1,4},{2,3,5},{6}}=>{{1,3,4},{2,5},{6}}
{{1,4,6},{2,3},{5}}=>{{1,3},{2,4,6},{5}}
{{1,4},{2,3,6},{5}}=>{{1,3,4},{2,6},{5}}
{{1,4},{2,3},{5,6}}=>{{1,3},{2,4},{5,6}}
{{1,4},{2,3},{5},{6}}=>{{1,3},{2,4},{5},{6}}
{{1,5,6},{2,3,4}}=>{{1,3,5,6},{2,4}}
{{1,5},{2,3,4,6}}=>{{1,3,6},{2,4,5}}
{{1,5},{2,3,4},{6}}=>{{1,3,5},{2,4},{6}}
{{1,6},{2,3,4,5}}=>{{1,3,5},{2,4,6}}
{{1},{2,3,4,5,6}}=>{{1},{2,3,4,5,6}}
{{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}
{{1,6},{2,3,4},{5}}=>{{1,3,6},{2,4},{5}}
{{1},{2,3,4,6},{5}}=>{{1},{2,3,4,6},{5}}
{{1},{2,3,4},{5,6}}=>{{1},{2,3,4},{5,6}}
{{1},{2,3,4},{5},{6}}=>{{1},{2,3,4},{5},{6}}
{{1,5,6},{2,3},{4}}=>{{1,3},{2,5,6},{4}}
{{1,5},{2,3,6},{4}}=>{{1,3,5},{2,6},{4}}
{{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}
{{1,5},{2,3},{4},{6}}=>{{1,3},{2,5},{4},{6}}
{{1,6},{2,3,5},{4}}=>{{1,3,6},{2,5},{4}}
{{1},{2,3,5,6},{4}}=>{{1},{2,3,5,6},{4}}
{{1},{2,3,5},{4,6}}=>{{1},{2,3,6},{4,5}}
{{1},{2,3,5},{4},{6}}=>{{1},{2,3,5},{4},{6}}
{{1,6},{2,3},{4,5}}=>{{1,3},{2,5},{4,6}}
{{1},{2,3,6},{4,5}}=>{{1},{2,3,5},{4,6}}
{{1},{2,3},{4,5,6}}=>{{1},{2,3},{4,5,6}}
{{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}
{{1,6},{2,3},{4},{5}}=>{{1,3},{2,6},{4},{5}}
{{1},{2,3,6},{4},{5}}=>{{1},{2,3,6},{4},{5}}
{{1},{2,3},{4,6},{5}}=>{{1},{2,3},{4,6},{5}}
{{1},{2,3},{4},{5,6}}=>{{1},{2,3},{4},{5,6}}
{{1},{2,3},{4},{5},{6}}=>{{1},{2,3},{4},{5},{6}}
{{1,4,5,6},{2},{3}}=>{{1,4,5,6},{2},{3}}
{{1,4,5},{2,6},{3}}=>{{1,6},{2,4,5},{3}}
{{1,4,5},{2},{3,6}}=>{{1,6},{2},{3,4,5}}
{{1,4,5},{2},{3},{6}}=>{{1,4,5},{2},{3},{6}}
{{1,4,6},{2,5},{3}}=>{{1,5},{2,4,6},{3}}
{{1,4},{2,5,6},{3}}=>{{1,5,6},{2,4},{3}}
{{1,4},{2,5},{3,6}}=>{{1,6},{2,5},{3,4}}
{{1,4},{2,5},{3},{6}}=>{{1,5},{2,4},{3},{6}}
{{1,4,6},{2},{3,5}}=>{{1,5},{2},{3,4,6}}
{{1,4},{2,6},{3,5}}=>{{1,5},{2,6},{3,4}}
{{1,4},{2},{3,5,6}}=>{{1,5,6},{2},{3,4}}
{{1,4},{2},{3,5},{6}}=>{{1,5},{2},{3,4},{6}}
{{1,4,6},{2},{3},{5}}=>{{1,4,6},{2},{3},{5}}
{{1,4},{2,6},{3},{5}}=>{{1,6},{2,4},{3},{5}}
{{1,4},{2},{3,6},{5}}=>{{1,6},{2},{3,4},{5}}
{{1,4},{2},{3},{5,6}}=>{{1,4},{2},{3},{5,6}}
{{1,4},{2},{3},{5},{6}}=>{{1,4},{2},{3},{5},{6}}
{{1,5,6},{2,4},{3}}=>{{1,4},{2,5,6},{3}}
{{1,5},{2,4,6},{3}}=>{{1,4,5},{2,6},{3}}
{{1,5},{2,4},{3,6}}=>{{1,6},{2,4},{3,5}}
{{1,5},{2,4},{3},{6}}=>{{1,4},{2,5},{3},{6}}
{{1,6},{2,4,5},{3}}=>{{1,4,6},{2,5},{3}}
{{1},{2,4,5,6},{3}}=>{{1},{2,4,5,6},{3}}
{{1},{2,4,5},{3,6}}=>{{1},{2,6},{3,4,5}}
{{1},{2,4,5},{3},{6}}=>{{1},{2,4,5},{3},{6}}
{{1,6},{2,4},{3,5}}=>{{1,5},{2,4},{3,6}}
{{1},{2,4,6},{3,5}}=>{{1},{2,5},{3,4,6}}
{{1},{2,4},{3,5,6}}=>{{1},{2,5,6},{3,4}}
{{1},{2,4},{3,5},{6}}=>{{1},{2,5},{3,4},{6}}
{{1,6},{2,4},{3},{5}}=>{{1,4},{2,6},{3},{5}}
{{1},{2,4,6},{3},{5}}=>{{1},{2,4,6},{3},{5}}
{{1},{2,4},{3,6},{5}}=>{{1},{2,6},{3,4},{5}}
{{1},{2,4},{3},{5,6}}=>{{1},{2,4},{3},{5,6}}
{{1},{2,4},{3},{5},{6}}=>{{1},{2,4},{3},{5},{6}}
{{1,5,6},{2},{3,4}}=>{{1,4},{2},{3,5,6}}
{{1,5},{2,6},{3,4}}=>{{1,4},{2,6},{3,5}}
{{1,5},{2},{3,4,6}}=>{{1,4,5},{2},{3,6}}
{{1,5},{2},{3,4},{6}}=>{{1,4},{2},{3,5},{6}}
{{1,6},{2,5},{3,4}}=>{{1,4},{2,5},{3,6}}
{{1},{2,5,6},{3,4}}=>{{1},{2,4},{3,5,6}}
{{1},{2,5},{3,4,6}}=>{{1},{2,4,5},{3,6}}
{{1},{2,5},{3,4},{6}}=>{{1},{2,4},{3,5},{6}}
{{1,6},{2},{3,4,5}}=>{{1,4,6},{2},{3,5}}
{{1},{2,6},{3,4,5}}=>{{1},{2,4,6},{3,5}}
{{1},{2},{3,4,5,6}}=>{{1},{2},{3,4,5,6}}
{{1},{2},{3,4,5},{6}}=>{{1},{2},{3,4,5},{6}}
{{1,6},{2},{3,4},{5}}=>{{1,4},{2},{3,6},{5}}
{{1},{2,6},{3,4},{5}}=>{{1},{2,4},{3,6},{5}}
{{1},{2},{3,4,6},{5}}=>{{1},{2},{3,4,6},{5}}
{{1},{2},{3,4},{5,6}}=>{{1},{2},{3,4},{5,6}}
{{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}
{{1,5,6},{2},{3},{4}}=>{{1,5,6},{2},{3},{4}}
{{1,5},{2,6},{3},{4}}=>{{1,6},{2,5},{3},{4}}
{{1,5},{2},{3,6},{4}}=>{{1,6},{2},{3,5},{4}}
{{1,5},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5}}
{{1,5},{2},{3},{4},{6}}=>{{1,5},{2},{3},{4},{6}}
{{1,6},{2,5},{3},{4}}=>{{1,5},{2,6},{3},{4}}
{{1},{2,5,6},{3},{4}}=>{{1},{2,5,6},{3},{4}}
{{1},{2,5},{3,6},{4}}=>{{1},{2,6},{3,5},{4}}
{{1},{2,5},{3},{4,6}}=>{{1},{2,6},{3},{4,5}}
{{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}
{{1,6},{2},{3,5},{4}}=>{{1,5},{2},{3,6},{4}}
{{1},{2,6},{3,5},{4}}=>{{1},{2,5},{3,6},{4}}
{{1},{2},{3,5,6},{4}}=>{{1},{2},{3,5,6},{4}}
{{1},{2},{3,5},{4,6}}=>{{1},{2},{3,6},{4,5}}
{{1},{2},{3,5},{4},{6}}=>{{1},{2},{3,5},{4},{6}}
{{1,6},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6}}
{{1},{2,6},{3},{4,5}}=>{{1},{2,5},{3},{4,6}}
{{1},{2},{3,6},{4,5}}=>{{1},{2},{3,5},{4,6}}
{{1},{2},{3},{4,5,6}}=>{{1},{2},{3},{4,5,6}}
{{1},{2},{3},{4,5},{6}}=>{{1},{2},{3},{4,5},{6}}
{{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}
{{1},{2,6},{3},{4},{5}}=>{{1},{2,6},{3},{4},{5}}
{{1},{2},{3,6},{4},{5}}=>{{1},{2},{3,6},{4},{5}}
{{1},{2},{3},{4,6},{5}}=>{{1},{2},{3},{4,6},{5}}
{{1},{2},{3},{4},{5,6}}=>{{1},{2},{3},{4},{5,6}}
{{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}
{{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}
{{1,2,3,4,5,6},{7}}=>{{1,2,3,4,5,6},{7}}
{{1,2,3,4,5,7},{6}}=>{{1,2,3,4,5,7},{6}}
{{1,2,3,4,5},{6,7}}=>{{1,2,3,4,5},{6,7}}
{{1,2,3,4,5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}
{{1,2,3,4,6,7},{5}}=>{{1,2,3,4,6,7},{5}}
{{1,2,3,4,6},{5,7}}=>{{1,2,3,4,7},{5,6}}
{{1,2,3,4,6},{5},{7}}=>{{1,2,3,4,6},{5},{7}}
{{1,2,3,4,7},{5,6}}=>{{1,2,3,4,6},{5,7}}
{{1,2,3,4},{5,6,7}}=>{{1,2,3,4},{5,6,7}}
{{1,2,3,4},{5,6},{7}}=>{{1,2,3,4},{5,6},{7}}
{{1,2,3,4,7},{5},{6}}=>{{1,2,3,4,7},{5},{6}}
{{1,2,3,4},{5,7},{6}}=>{{1,2,3,4},{5,7},{6}}
{{1,2,3,4},{5},{6,7}}=>{{1,2,3,4},{5},{6,7}}
{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}
{{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}}
{{1,2,3,5,6},{4,7}}=>{{1,2,3,7},{4,5,6}}
{{1,2,3,5,6},{4},{7}}=>{{1,2,3,5,6},{4},{7}}
{{1,2,3,5,7},{4,6}}=>{{1,2,3,6},{4,5,7}}
{{1,2,3,5},{4,6,7}}=>{{1,2,3,6,7},{4,5}}
{{1,2,3,5},{4,6},{7}}=>{{1,2,3,6},{4,5},{7}}
{{1,2,3,5,7},{4},{6}}=>{{1,2,3,5,7},{4},{6}}
{{1,2,3,5},{4,7},{6}}=>{{1,2,3,7},{4,5},{6}}
{{1,2,3,5},{4},{6,7}}=>{{1,2,3,5},{4},{6,7}}
{{1,2,3,5},{4},{6},{7}}=>{{1,2,3,5},{4},{6},{7}}
{{1,2,3,6,7},{4,5}}=>{{1,2,3,5},{4,6,7}}
{{1,2,3,6},{4,5,7}}=>{{1,2,3,5,6},{4,7}}
{{1,2,3,6},{4,5},{7}}=>{{1,2,3,5},{4,6},{7}}
{{1,2,3,7},{4,5,6}}=>{{1,2,3,5,7},{4,6}}
{{1,2,3},{4,5,6,7}}=>{{1,2,3},{4,5,6,7}}
{{1,2,3},{4,5,6},{7}}=>{{1,2,3},{4,5,6},{7}}
{{1,2,3,7},{4,5},{6}}=>{{1,2,3,5},{4,7},{6}}
{{1,2,3},{4,5,7},{6}}=>{{1,2,3},{4,5,7},{6}}
{{1,2,3},{4,5},{6,7}}=>{{1,2,3},{4,5},{6,7}}
{{1,2,3},{4,5},{6},{7}}=>{{1,2,3},{4,5},{6},{7}}
{{1,2,3,6,7},{4},{5}}=>{{1,2,3,6,7},{4},{5}}
{{1,2,3,6},{4,7},{5}}=>{{1,2,3,7},{4,6},{5}}
{{1,2,3,6},{4},{5,7}}=>{{1,2,3,7},{4},{5,6}}
{{1,2,3,6},{4},{5},{7}}=>{{1,2,3,6},{4},{5},{7}}
{{1,2,3,7},{4,6},{5}}=>{{1,2,3,6},{4,7},{5}}
{{1,2,3},{4,6,7},{5}}=>{{1,2,3},{4,6,7},{5}}
{{1,2,3},{4,6},{5,7}}=>{{1,2,3},{4,7},{5,6}}
{{1,2,3},{4,6},{5},{7}}=>{{1,2,3},{4,6},{5},{7}}
{{1,2,3,7},{4},{5,6}}=>{{1,2,3,6},{4},{5,7}}
{{1,2,3},{4,7},{5,6}}=>{{1,2,3},{4,6},{5,7}}
{{1,2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}}
{{1,2,3},{4},{5,6},{7}}=>{{1,2,3},{4},{5,6},{7}}
{{1,2,3,7},{4},{5},{6}}=>{{1,2,3,7},{4},{5},{6}}
{{1,2,3},{4,7},{5},{6}}=>{{1,2,3},{4,7},{5},{6}}
{{1,2,3},{4},{5,7},{6}}=>{{1,2,3},{4},{5,7},{6}}
{{1,2,3},{4},{5},{6,7}}=>{{1,2,3},{4},{5},{6,7}}
{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}
{{1,2,4,5,6,7},{3}}=>{{1,2,4,5,6,7},{3}}
{{1,2,4,5,6},{3,7}}=>{{1,2,7},{3,4,5,6}}
{{1,2,4,5,6},{3},{7}}=>{{1,2,4,5,6},{3},{7}}
{{1,2,4,5,7},{3,6}}=>{{1,2,6},{3,4,5,7}}
{{1,2,4,5},{3,6,7}}=>{{1,2,6,7},{3,4,5}}
{{1,2,4,5},{3,6},{7}}=>{{1,2,6},{3,4,5},{7}}
{{1,2,4,5,7},{3},{6}}=>{{1,2,4,5,7},{3},{6}}
{{1,2,4,5},{3,7},{6}}=>{{1,2,7},{3,4,5},{6}}
{{1,2,4,5},{3},{6,7}}=>{{1,2,4,5},{3},{6,7}}
{{1,2,4,5},{3},{6},{7}}=>{{1,2,4,5},{3},{6},{7}}
{{1,2,4,6,7},{3,5}}=>{{1,2,5},{3,4,6,7}}
{{1,2,4,6},{3,5,7}}=>{{1,2,5,6},{3,4,7}}
{{1,2,4,6},{3,5},{7}}=>{{1,2,5},{3,4,6},{7}}
{{1,2,4,7},{3,5,6}}=>{{1,2,5,7},{3,4,6}}
{{1,2,4},{3,5,6,7}}=>{{1,2,5,6,7},{3,4}}
{{1,2,4},{3,5,6},{7}}=>{{1,2,5,6},{3,4},{7}}
{{1,2,4,7},{3,5},{6}}=>{{1,2,5},{3,4,7},{6}}
{{1,2,4},{3,5,7},{6}}=>{{1,2,5,7},{3,4},{6}}
{{1,2,4},{3,5},{6,7}}=>{{1,2,5},{3,4},{6,7}}
{{1,2,4},{3,5},{6},{7}}=>{{1,2,5},{3,4},{6},{7}}
{{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}
{{1,2,4,6},{3,7},{5}}=>{{1,2,7},{3,4,6},{5}}
{{1,2,4,6},{3},{5,7}}=>{{1,2,4,7},{3},{5,6}}
{{1,2,4,6},{3},{5},{7}}=>{{1,2,4,6},{3},{5},{7}}
{{1,2,4,7},{3,6},{5}}=>{{1,2,6},{3,4,7},{5}}
{{1,2,4},{3,6,7},{5}}=>{{1,2,6,7},{3,4},{5}}
{{1,2,4},{3,6},{5,7}}=>{{1,2,7},{3,4},{5,6}}
{{1,2,4},{3,6},{5},{7}}=>{{1,2,6},{3,4},{5},{7}}
{{1,2,4,7},{3},{5,6}}=>{{1,2,4,6},{3},{5,7}}
{{1,2,4},{3,7},{5,6}}=>{{1,2,6},{3,4},{5,7}}
{{1,2,4},{3},{5,6,7}}=>{{1,2,4},{3},{5,6,7}}
{{1,2,4},{3},{5,6},{7}}=>{{1,2,4},{3},{5,6},{7}}
{{1,2,4,7},{3},{5},{6}}=>{{1,2,4,7},{3},{5},{6}}
{{1,2,4},{3,7},{5},{6}}=>{{1,2,7},{3,4},{5},{6}}
{{1,2,4},{3},{5,7},{6}}=>{{1,2,4},{3},{5,7},{6}}
{{1,2,4},{3},{5},{6,7}}=>{{1,2,4},{3},{5},{6,7}}
{{1,2,4},{3},{5},{6},{7}}=>{{1,2,4},{3},{5},{6},{7}}
{{1,2,5,6,7},{3,4}}=>{{1,2,4},{3,5,6,7}}
{{1,2,5,6},{3,4,7}}=>{{1,2,4,5,6},{3,7}}
{{1,2,5,6},{3,4},{7}}=>{{1,2,4},{3,5,6},{7}}
{{1,2,5,7},{3,4,6}}=>{{1,2,4,5,7},{3,6}}
{{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}}
{{1,2,5},{3,4,6},{7}}=>{{1,2,4,5},{3,6},{7}}
{{1,2,5,7},{3,4},{6}}=>{{1,2,4},{3,5,7},{6}}
{{1,2,5},{3,4,7},{6}}=>{{1,2,4,5},{3,7},{6}}
{{1,2,5},{3,4},{6,7}}=>{{1,2,4},{3,5},{6,7}}
{{1,2,5},{3,4},{6},{7}}=>{{1,2,4},{3,5},{6},{7}}
{{1,2,6,7},{3,4,5}}=>{{1,2,4,6,7},{3,5}}
{{1,2,6},{3,4,5,7}}=>{{1,2,4,7},{3,5,6}}
{{1,2,6},{3,4,5},{7}}=>{{1,2,4,6},{3,5},{7}}
{{1,2,7},{3,4,5,6}}=>{{1,2,4,6},{3,5,7}}
{{1,2},{3,4,5,6,7}}=>{{1,2},{3,4,5,6,7}}
{{1,2},{3,4,5,6},{7}}=>{{1,2},{3,4,5,6},{7}}
{{1,2,7},{3,4,5},{6}}=>{{1,2,4,7},{3,5},{6}}
{{1,2},{3,4,5,7},{6}}=>{{1,2},{3,4,5,7},{6}}
{{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}}
{{1,2},{3,4,5},{6},{7}}=>{{1,2},{3,4,5},{6},{7}}
{{1,2,6,7},{3,4},{5}}=>{{1,2,4},{3,6,7},{5}}
{{1,2,6},{3,4,7},{5}}=>{{1,2,4,6},{3,7},{5}}
{{1,2,6},{3,4},{5,7}}=>{{1,2,4},{3,7},{5,6}}
{{1,2,6},{3,4},{5},{7}}=>{{1,2,4},{3,6},{5},{7}}
{{1,2,7},{3,4,6},{5}}=>{{1,2,4,7},{3,6},{5}}
{{1,2},{3,4,6,7},{5}}=>{{1,2},{3,4,6,7},{5}}
{{1,2},{3,4,6},{5,7}}=>{{1,2},{3,4,7},{5,6}}
{{1,2},{3,4,6},{5},{7}}=>{{1,2},{3,4,6},{5},{7}}
{{1,2,7},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7}}
{{1,2},{3,4,7},{5,6}}=>{{1,2},{3,4,6},{5,7}}
{{1,2},{3,4},{5,6,7}}=>{{1,2},{3,4},{5,6,7}}
{{1,2},{3,4},{5,6},{7}}=>{{1,2},{3,4},{5,6},{7}}
{{1,2,7},{3,4},{5},{6}}=>{{1,2,4},{3,7},{5},{6}}
{{1,2},{3,4,7},{5},{6}}=>{{1,2},{3,4,7},{5},{6}}
{{1,2},{3,4},{5,7},{6}}=>{{1,2},{3,4},{5,7},{6}}
{{1,2},{3,4},{5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}
{{1,2},{3,4},{5},{6},{7}}=>{{1,2},{3,4},{5},{6},{7}}
{{1,2,5,6,7},{3},{4}}=>{{1,2,5,6,7},{3},{4}}
{{1,2,5,6},{3,7},{4}}=>{{1,2,7},{3,5,6},{4}}
{{1,2,5,6},{3},{4,7}}=>{{1,2,7},{3},{4,5,6}}
{{1,2,5,6},{3},{4},{7}}=>{{1,2,5,6},{3},{4},{7}}
{{1,2,5,7},{3,6},{4}}=>{{1,2,6},{3,5,7},{4}}
{{1,2,5},{3,6,7},{4}}=>{{1,2,6,7},{3,5},{4}}
{{1,2,5},{3,6},{4,7}}=>{{1,2,7},{3,6},{4,5}}
{{1,2,5},{3,6},{4},{7}}=>{{1,2,6},{3,5},{4},{7}}
{{1,2,5,7},{3},{4,6}}=>{{1,2,6},{3},{4,5,7}}
{{1,2,5},{3,7},{4,6}}=>{{1,2,6},{3,7},{4,5}}
{{1,2,5},{3},{4,6,7}}=>{{1,2,6,7},{3},{4,5}}
{{1,2,5},{3},{4,6},{7}}=>{{1,2,6},{3},{4,5},{7}}
{{1,2,5,7},{3},{4},{6}}=>{{1,2,5,7},{3},{4},{6}}
{{1,2,5},{3,7},{4},{6}}=>{{1,2,7},{3,5},{4},{6}}
{{1,2,5},{3},{4,7},{6}}=>{{1,2,7},{3},{4,5},{6}}
{{1,2,5},{3},{4},{6,7}}=>{{1,2,5},{3},{4},{6,7}}
{{1,2,5},{3},{4},{6},{7}}=>{{1,2,5},{3},{4},{6},{7}}
{{1,2,6,7},{3,5},{4}}=>{{1,2,5},{3,6,7},{4}}
{{1,2,6},{3,5,7},{4}}=>{{1,2,5,6},{3,7},{4}}
{{1,2,6},{3,5},{4,7}}=>{{1,2,7},{3,5},{4,6}}
{{1,2,6},{3,5},{4},{7}}=>{{1,2,5},{3,6},{4},{7}}
{{1,2,7},{3,5,6},{4}}=>{{1,2,5,7},{3,6},{4}}
{{1,2},{3,5,6,7},{4}}=>{{1,2},{3,5,6,7},{4}}
{{1,2},{3,5,6},{4,7}}=>{{1,2},{3,7},{4,5,6}}
{{1,2},{3,5,6},{4},{7}}=>{{1,2},{3,5,6},{4},{7}}
{{1,2,7},{3,5},{4,6}}=>{{1,2,6},{3,5},{4,7}}
{{1,2},{3,5,7},{4,6}}=>{{1,2},{3,6},{4,5,7}}
{{1,2},{3,5},{4,6,7}}=>{{1,2},{3,6,7},{4,5}}
{{1,2},{3,5},{4,6},{7}}=>{{1,2},{3,6},{4,5},{7}}
{{1,2,7},{3,5},{4},{6}}=>{{1,2,5},{3,7},{4},{6}}
{{1,2},{3,5,7},{4},{6}}=>{{1,2},{3,5,7},{4},{6}}
{{1,2},{3,5},{4,7},{6}}=>{{1,2},{3,7},{4,5},{6}}
{{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}
{{1,2},{3,5},{4},{6},{7}}=>{{1,2},{3,5},{4},{6},{7}}
{{1,2,6,7},{3},{4,5}}=>{{1,2,5},{3},{4,6,7}}
{{1,2,6},{3,7},{4,5}}=>{{1,2,5},{3,7},{4,6}}
{{1,2,6},{3},{4,5,7}}=>{{1,2,5,6},{3},{4,7}}
{{1,2,6},{3},{4,5},{7}}=>{{1,2,5},{3},{4,6},{7}}
{{1,2,7},{3,6},{4,5}}=>{{1,2,5},{3,6},{4,7}}
{{1,2},{3,6,7},{4,5}}=>{{1,2},{3,5},{4,6,7}}
{{1,2},{3,6},{4,5,7}}=>{{1,2},{3,5,6},{4,7}}
{{1,2},{3,6},{4,5},{7}}=>{{1,2},{3,5},{4,6},{7}}
{{1,2,7},{3},{4,5,6}}=>{{1,2,5,7},{3},{4,6}}
{{1,2},{3,7},{4,5,6}}=>{{1,2},{3,5,7},{4,6}}
{{1,2},{3},{4,5,6,7}}=>{{1,2},{3},{4,5,6,7}}
{{1,2},{3},{4,5,6},{7}}=>{{1,2},{3},{4,5,6},{7}}
{{1,2,7},{3},{4,5},{6}}=>{{1,2,5},{3},{4,7},{6}}
{{1,2},{3,7},{4,5},{6}}=>{{1,2},{3,5},{4,7},{6}}
{{1,2},{3},{4,5,7},{6}}=>{{1,2},{3},{4,5,7},{6}}
{{1,2},{3},{4,5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}
{{1,2},{3},{4,5},{6},{7}}=>{{1,2},{3},{4,5},{6},{7}}
{{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}
{{1,2,6},{3,7},{4},{5}}=>{{1,2,7},{3,6},{4},{5}}
{{1,2,6},{3},{4,7},{5}}=>{{1,2,7},{3},{4,6},{5}}
{{1,2,6},{3},{4},{5,7}}=>{{1,2,7},{3},{4},{5,6}}
{{1,2,6},{3},{4},{5},{7}}=>{{1,2,6},{3},{4},{5},{7}}
{{1,2,7},{3,6},{4},{5}}=>{{1,2,6},{3,7},{4},{5}}
{{1,2},{3,6,7},{4},{5}}=>{{1,2},{3,6,7},{4},{5}}
{{1,2},{3,6},{4,7},{5}}=>{{1,2},{3,7},{4,6},{5}}
{{1,2},{3,6},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6}}
{{1,2},{3,6},{4},{5},{7}}=>{{1,2},{3,6},{4},{5},{7}}
{{1,2,7},{3},{4,6},{5}}=>{{1,2,6},{3},{4,7},{5}}
{{1,2},{3,7},{4,6},{5}}=>{{1,2},{3,6},{4,7},{5}}
{{1,2},{3},{4,6,7},{5}}=>{{1,2},{3},{4,6,7},{5}}
{{1,2},{3},{4,6},{5,7}}=>{{1,2},{3},{4,7},{5,6}}
{{1,2},{3},{4,6},{5},{7}}=>{{1,2},{3},{4,6},{5},{7}}
{{1,2,7},{3},{4},{5,6}}=>{{1,2,6},{3},{4},{5,7}}
{{1,2},{3,7},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7}}
{{1,2},{3},{4,7},{5,6}}=>{{1,2},{3},{4,6},{5,7}}
{{1,2},{3},{4},{5,6,7}}=>{{1,2},{3},{4},{5,6,7}}
{{1,2},{3},{4},{5,6},{7}}=>{{1,2},{3},{4},{5,6},{7}}
{{1,2,7},{3},{4},{5},{6}}=>{{1,2,7},{3},{4},{5},{6}}
{{1,2},{3,7},{4},{5},{6}}=>{{1,2},{3,7},{4},{5},{6}}
{{1,2},{3},{4,7},{5},{6}}=>{{1,2},{3},{4,7},{5},{6}}
{{1,2},{3},{4},{5,7},{6}}=>{{1,2},{3},{4},{5,7},{6}}
{{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}
{{1,2},{3},{4},{5},{6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}
{{1,3,4,5,6,7},{2}}=>{{1,3,4,5,6,7},{2}}
{{1,3,4,5,6},{2,7}}=>{{1,7},{2,3,4,5,6}}
{{1,3,4,5,6},{2},{7}}=>{{1,3,4,5,6},{2},{7}}
{{1,3,4,5,7},{2,6}}=>{{1,6},{2,3,4,5,7}}
{{1,3,4,5},{2,6,7}}=>{{1,6,7},{2,3,4,5}}
{{1,3,4,5},{2,6},{7}}=>{{1,6},{2,3,4,5},{7}}
{{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}
{{1,3,4,5},{2,7},{6}}=>{{1,7},{2,3,4,5},{6}}
{{1,3,4,5},{2},{6,7}}=>{{1,3,4,5},{2},{6,7}}
{{1,3,4,5},{2},{6},{7}}=>{{1,3,4,5},{2},{6},{7}}
{{1,3,4,6,7},{2,5}}=>{{1,5},{2,3,4,6,7}}
{{1,3,4,6},{2,5,7}}=>{{1,5,6},{2,3,4,7}}
{{1,3,4,6},{2,5},{7}}=>{{1,5},{2,3,4,6},{7}}
{{1,3,4,7},{2,5,6}}=>{{1,5,7},{2,3,4,6}}
{{1,3,4},{2,5,6,7}}=>{{1,5,6,7},{2,3,4}}
{{1,3,4},{2,5,6},{7}}=>{{1,5,6},{2,3,4},{7}}
{{1,3,4,7},{2,5},{6}}=>{{1,5},{2,3,4,7},{6}}
{{1,3,4},{2,5,7},{6}}=>{{1,5,7},{2,3,4},{6}}
{{1,3,4},{2,5},{6,7}}=>{{1,5},{2,3,4},{6,7}}
{{1,3,4},{2,5},{6},{7}}=>{{1,5},{2,3,4},{6},{7}}
{{1,3,4,6,7},{2},{5}}=>{{1,3,4,6,7},{2},{5}}
{{1,3,4,6},{2,7},{5}}=>{{1,7},{2,3,4,6},{5}}
{{1,3,4,6},{2},{5,7}}=>{{1,3,4,7},{2},{5,6}}
{{1,3,4,6},{2},{5},{7}}=>{{1,3,4,6},{2},{5},{7}}
{{1,3,4,7},{2,6},{5}}=>{{1,6},{2,3,4,7},{5}}
{{1,3,4},{2,6,7},{5}}=>{{1,6,7},{2,3,4},{5}}
{{1,3,4},{2,6},{5,7}}=>{{1,7},{2,3,4},{5,6}}
{{1,3,4},{2,6},{5},{7}}=>{{1,6},{2,3,4},{5},{7}}
{{1,3,4,7},{2},{5,6}}=>{{1,3,4,6},{2},{5,7}}
{{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3,4},{5,7}}
{{1,3,4},{2},{5,6,7}}=>{{1,3,4},{2},{5,6,7}}
{{1,3,4},{2},{5,6},{7}}=>{{1,3,4},{2},{5,6},{7}}
{{1,3,4,7},{2},{5},{6}}=>{{1,3,4,7},{2},{5},{6}}
{{1,3,4},{2,7},{5},{6}}=>{{1,7},{2,3,4},{5},{6}}
{{1,3,4},{2},{5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}
{{1,3,4},{2},{5},{6,7}}=>{{1,3,4},{2},{5},{6,7}}
{{1,3,4},{2},{5},{6},{7}}=>{{1,3,4},{2},{5},{6},{7}}
{{1,3,5,6,7},{2,4}}=>{{1,4},{2,3,5,6,7}}
{{1,3,5,6},{2,4,7}}=>{{1,4,5,6},{2,3,7}}
{{1,3,5,6},{2,4},{7}}=>{{1,4},{2,3,5,6},{7}}
{{1,3,5,7},{2,4,6}}=>{{1,4,5,7},{2,3,6}}
{{1,3,5},{2,4,6,7}}=>{{1,4,5},{2,3,6,7}}
{{1,3,5},{2,4,6},{7}}=>{{1,4,5},{2,3,6},{7}}
{{1,3,5,7},{2,4},{6}}=>{{1,4},{2,3,5,7},{6}}
{{1,3,5},{2,4,7},{6}}=>{{1,4,5},{2,3,7},{6}}
{{1,3,5},{2,4},{6,7}}=>{{1,4},{2,3,5},{6,7}}
{{1,3,5},{2,4},{6},{7}}=>{{1,4},{2,3,5},{6},{7}}
{{1,3,6,7},{2,4,5}}=>{{1,4,6,7},{2,3,5}}
{{1,3,6},{2,4,5,7}}=>{{1,4,7},{2,3,5,6}}
{{1,3,6},{2,4,5},{7}}=>{{1,4,6},{2,3,5},{7}}
{{1,3,7},{2,4,5,6}}=>{{1,4,6},{2,3,5,7}}
{{1,3},{2,4,5,6,7}}=>{{1,4,5,6,7},{2,3}}
{{1,3},{2,4,5,6},{7}}=>{{1,4,5,6},{2,3},{7}}
{{1,3,7},{2,4,5},{6}}=>{{1,4,7},{2,3,5},{6}}
{{1,3},{2,4,5,7},{6}}=>{{1,4,5,7},{2,3},{6}}
{{1,3},{2,4,5},{6,7}}=>{{1,4,5},{2,3},{6,7}}
{{1,3},{2,4,5},{6},{7}}=>{{1,4,5},{2,3},{6},{7}}
{{1,3,6,7},{2,4},{5}}=>{{1,4},{2,3,6,7},{5}}
{{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,3,7},{5}}
{{1,3,6},{2,4},{5,7}}=>{{1,4},{2,3,7},{5,6}}
{{1,3,6},{2,4},{5},{7}}=>{{1,4},{2,3,6},{5},{7}}
{{1,3,7},{2,4,6},{5}}=>{{1,4,7},{2,3,6},{5}}
{{1,3},{2,4,6,7},{5}}=>{{1,4,6,7},{2,3},{5}}
{{1,3},{2,4,6},{5,7}}=>{{1,4,7},{2,3},{5,6}}
{{1,3},{2,4,6},{5},{7}}=>{{1,4,6},{2,3},{5},{7}}
{{1,3,7},{2,4},{5,6}}=>{{1,4},{2,3,6},{5,7}}
{{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}
{{1,3},{2,4},{5,6,7}}=>{{1,4},{2,3},{5,6,7}}
{{1,3},{2,4},{5,6},{7}}=>{{1,4},{2,3},{5,6},{7}}
{{1,3,7},{2,4},{5},{6}}=>{{1,4},{2,3,7},{5},{6}}
{{1,3},{2,4,7},{5},{6}}=>{{1,4,7},{2,3},{5},{6}}
{{1,3},{2,4},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}
{{1,3},{2,4},{5},{6,7}}=>{{1,4},{2,3},{5},{6,7}}
{{1,3},{2,4},{5},{6},{7}}=>{{1,4},{2,3},{5},{6},{7}}
{{1,3,5,6,7},{2},{4}}=>{{1,3,5,6,7},{2},{4}}
{{1,3,5,6},{2,7},{4}}=>{{1,7},{2,3,5,6},{4}}
{{1,3,5,6},{2},{4,7}}=>{{1,3,7},{2},{4,5,6}}
{{1,3,5,6},{2},{4},{7}}=>{{1,3,5,6},{2},{4},{7}}
{{1,3,5,7},{2,6},{4}}=>{{1,6},{2,3,5,7},{4}}
{{1,3,5},{2,6,7},{4}}=>{{1,6,7},{2,3,5},{4}}
{{1,3,5},{2,6},{4,7}}=>{{1,7},{2,3,6},{4,5}}
{{1,3,5},{2,6},{4},{7}}=>{{1,6},{2,3,5},{4},{7}}
{{1,3,5,7},{2},{4,6}}=>{{1,3,6},{2},{4,5,7}}
{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,3,7},{4,5}}
{{1,3,5},{2},{4,6,7}}=>{{1,3,6,7},{2},{4,5}}
{{1,3,5},{2},{4,6},{7}}=>{{1,3,6},{2},{4,5},{7}}
{{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}
{{1,3,5},{2,7},{4},{6}}=>{{1,7},{2,3,5},{4},{6}}
{{1,3,5},{2},{4,7},{6}}=>{{1,3,7},{2},{4,5},{6}}
{{1,3,5},{2},{4},{6,7}}=>{{1,3,5},{2},{4},{6,7}}
{{1,3,5},{2},{4},{6},{7}}=>{{1,3,5},{2},{4},{6},{7}}
{{1,3,6,7},{2,5},{4}}=>{{1,5},{2,3,6,7},{4}}
{{1,3,6},{2,5,7},{4}}=>{{1,5,6},{2,3,7},{4}}
{{1,3,6},{2,5},{4,7}}=>{{1,7},{2,3,5},{4,6}}
{{1,3,6},{2,5},{4},{7}}=>{{1,5},{2,3,6},{4},{7}}
{{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}
{{1,3},{2,5,6,7},{4}}=>{{1,5,6,7},{2,3},{4}}
{{1,3},{2,5,6},{4,7}}=>{{1,7},{2,3},{4,5,6}}
{{1,3},{2,5,6},{4},{7}}=>{{1,5,6},{2,3},{4},{7}}
{{1,3,7},{2,5},{4,6}}=>{{1,6},{2,3,5},{4,7}}
{{1,3},{2,5,7},{4,6}}=>{{1,6},{2,3},{4,5,7}}
{{1,3},{2,5},{4,6,7}}=>{{1,6,7},{2,3},{4,5}}
{{1,3},{2,5},{4,6},{7}}=>{{1,6},{2,3},{4,5},{7}}
{{1,3,7},{2,5},{4},{6}}=>{{1,5},{2,3,7},{4},{6}}
{{1,3},{2,5,7},{4},{6}}=>{{1,5,7},{2,3},{4},{6}}
{{1,3},{2,5},{4,7},{6}}=>{{1,7},{2,3},{4,5},{6}}
{{1,3},{2,5},{4},{6,7}}=>{{1,5},{2,3},{4},{6,7}}
{{1,3},{2,5},{4},{6},{7}}=>{{1,5},{2,3},{4},{6},{7}}
{{1,3,6,7},{2},{4,5}}=>{{1,3,5},{2},{4,6,7}}
{{1,3,6},{2,7},{4,5}}=>{{1,5},{2,3,7},{4,6}}
{{1,3,6},{2},{4,5,7}}=>{{1,3,5,6},{2},{4,7}}
{{1,3,6},{2},{4,5},{7}}=>{{1,3,5},{2},{4,6},{7}}
{{1,3,7},{2,6},{4,5}}=>{{1,5},{2,3,6},{4,7}}
{{1,3},{2,6,7},{4,5}}=>{{1,5},{2,3},{4,6,7}}
{{1,3},{2,6},{4,5,7}}=>{{1,5,6},{2,3},{4,7}}
{{1,3},{2,6},{4,5},{7}}=>{{1,5},{2,3},{4,6},{7}}
{{1,3,7},{2},{4,5,6}}=>{{1,3,5,7},{2},{4,6}}
{{1,3},{2,7},{4,5,6}}=>{{1,5,7},{2,3},{4,6}}
{{1,3},{2},{4,5,6,7}}=>{{1,3},{2},{4,5,6,7}}
{{1,3},{2},{4,5,6},{7}}=>{{1,3},{2},{4,5,6},{7}}
{{1,3,7},{2},{4,5},{6}}=>{{1,3,5},{2},{4,7},{6}}
{{1,3},{2,7},{4,5},{6}}=>{{1,5},{2,3},{4,7},{6}}
{{1,3},{2},{4,5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}
{{1,3},{2},{4,5},{6,7}}=>{{1,3},{2},{4,5},{6,7}}
{{1,3},{2},{4,5},{6},{7}}=>{{1,3},{2},{4,5},{6},{7}}
{{1,3,6,7},{2},{4},{5}}=>{{1,3,6,7},{2},{4},{5}}
{{1,3,6},{2,7},{4},{5}}=>{{1,7},{2,3,6},{4},{5}}
{{1,3,6},{2},{4,7},{5}}=>{{1,3,7},{2},{4,6},{5}}
{{1,3,6},{2},{4},{5,7}}=>{{1,3,7},{2},{4},{5,6}}
{{1,3,6},{2},{4},{5},{7}}=>{{1,3,6},{2},{4},{5},{7}}
{{1,3,7},{2,6},{4},{5}}=>{{1,6},{2,3,7},{4},{5}}
{{1,3},{2,6,7},{4},{5}}=>{{1,6,7},{2,3},{4},{5}}
{{1,3},{2,6},{4,7},{5}}=>{{1,7},{2,3},{4,6},{5}}
{{1,3},{2,6},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6}}
{{1,3},{2,6},{4},{5},{7}}=>{{1,6},{2,3},{4},{5},{7}}
{{1,3,7},{2},{4,6},{5}}=>{{1,3,6},{2},{4,7},{5}}
{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,3},{4,7},{5}}
{{1,3},{2},{4,6,7},{5}}=>{{1,3},{2},{4,6,7},{5}}
{{1,3},{2},{4,6},{5,7}}=>{{1,3},{2},{4,7},{5,6}}
{{1,3},{2},{4,6},{5},{7}}=>{{1,3},{2},{4,6},{5},{7}}
{{1,3,7},{2},{4},{5,6}}=>{{1,3,6},{2},{4},{5,7}}
{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}
{{1,3},{2},{4,7},{5,6}}=>{{1,3},{2},{4,6},{5,7}}
{{1,3},{2},{4},{5,6,7}}=>{{1,3},{2},{4},{5,6,7}}
{{1,3},{2},{4},{5,6},{7}}=>{{1,3},{2},{4},{5,6},{7}}
{{1,3,7},{2},{4},{5},{6}}=>{{1,3,7},{2},{4},{5},{6}}
{{1,3},{2,7},{4},{5},{6}}=>{{1,7},{2,3},{4},{5},{6}}
{{1,3},{2},{4,7},{5},{6}}=>{{1,3},{2},{4,7},{5},{6}}
{{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}
{{1,3},{2},{4},{5},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}
{{1,3},{2},{4},{5},{6},{7}}=>{{1,3},{2},{4},{5},{6},{7}}
{{1,4,5,6,7},{2,3}}=>{{1,3},{2,4,5,6,7}}
{{1,4,5,6},{2,3,7}}=>{{1,3,4,5,6},{2,7}}
{{1,4,5,6},{2,3},{7}}=>{{1,3},{2,4,5,6},{7}}
{{1,4,5,7},{2,3,6}}=>{{1,3,4,5,7},{2,6}}
{{1,4,5},{2,3,6,7}}=>{{1,3,4,5},{2,6,7}}
{{1,4,5},{2,3,6},{7}}=>{{1,3,4,5},{2,6},{7}}
{{1,4,5,7},{2,3},{6}}=>{{1,3},{2,4,5,7},{6}}
{{1,4,5},{2,3,7},{6}}=>{{1,3,4,5},{2,7},{6}}
{{1,4,5},{2,3},{6,7}}=>{{1,3},{2,4,5},{6,7}}
{{1,4,5},{2,3},{6},{7}}=>{{1,3},{2,4,5},{6},{7}}
{{1,4,6,7},{2,3,5}}=>{{1,3,4,6,7},{2,5}}
{{1,4,6},{2,3,5,7}}=>{{1,3,4,7},{2,5,6}}
{{1,4,6},{2,3,5},{7}}=>{{1,3,4,6},{2,5},{7}}
{{1,4,7},{2,3,5,6}}=>{{1,3,4,6},{2,5,7}}
{{1,4},{2,3,5,6,7}}=>{{1,3,4},{2,5,6,7}}
{{1,4},{2,3,5,6},{7}}=>{{1,3,4},{2,5,6},{7}}
{{1,4,7},{2,3,5},{6}}=>{{1,3,4,7},{2,5},{6}}
{{1,4},{2,3,5,7},{6}}=>{{1,3,4},{2,5,7},{6}}
{{1,4},{2,3,5},{6,7}}=>{{1,3,4},{2,5},{6,7}}
{{1,4},{2,3,5},{6},{7}}=>{{1,3,4},{2,5},{6},{7}}
{{1,4,6,7},{2,3},{5}}=>{{1,3},{2,4,6,7},{5}}
{{1,4,6},{2,3,7},{5}}=>{{1,3,4,6},{2,7},{5}}
{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}
{{1,4,6},{2,3},{5},{7}}=>{{1,3},{2,4,6},{5},{7}}
{{1,4,7},{2,3,6},{5}}=>{{1,3,4,7},{2,6},{5}}
{{1,4},{2,3,6,7},{5}}=>{{1,3,4},{2,6,7},{5}}
{{1,4},{2,3,6},{5,7}}=>{{1,3,4},{2,7},{5,6}}
{{1,4},{2,3,6},{5},{7}}=>{{1,3,4},{2,6},{5},{7}}
{{1,4,7},{2,3},{5,6}}=>{{1,3},{2,4,6},{5,7}}
{{1,4},{2,3,7},{5,6}}=>{{1,3,4},{2,6},{5,7}}
{{1,4},{2,3},{5,6,7}}=>{{1,3},{2,4},{5,6,7}}
{{1,4},{2,3},{5,6},{7}}=>{{1,3},{2,4},{5,6},{7}}
{{1,4,7},{2,3},{5},{6}}=>{{1,3},{2,4,7},{5},{6}}
{{1,4},{2,3,7},{5},{6}}=>{{1,3,4},{2,7},{5},{6}}
{{1,4},{2,3},{5,7},{6}}=>{{1,3},{2,4},{5,7},{6}}
{{1,4},{2,3},{5},{6,7}}=>{{1,3},{2,4},{5},{6,7}}
{{1,4},{2,3},{5},{6},{7}}=>{{1,3},{2,4},{5},{6},{7}}
{{1,5,6,7},{2,3,4}}=>{{1,3,5,6,7},{2,4}}
{{1,5,6},{2,3,4,7}}=>{{1,3,7},{2,4,5,6}}
{{1,5,6},{2,3,4},{7}}=>{{1,3,5,6},{2,4},{7}}
{{1,5,7},{2,3,4,6}}=>{{1,3,6},{2,4,5,7}}
{{1,5},{2,3,4,6,7}}=>{{1,3,6,7},{2,4,5}}
{{1,5},{2,3,4,6},{7}}=>{{1,3,6},{2,4,5},{7}}
{{1,5,7},{2,3,4},{6}}=>{{1,3,5,7},{2,4},{6}}
{{1,5},{2,3,4,7},{6}}=>{{1,3,7},{2,4,5},{6}}
{{1,5},{2,3,4},{6,7}}=>{{1,3,5},{2,4},{6,7}}
{{1,5},{2,3,4},{6},{7}}=>{{1,3,5},{2,4},{6},{7}}
{{1,6,7},{2,3,4,5}}=>{{1,3,5},{2,4,6,7}}
{{1,6},{2,3,4,5,7}}=>{{1,3,5,6},{2,4,7}}
{{1,6},{2,3,4,5},{7}}=>{{1,3,5},{2,4,6},{7}}
{{1,7},{2,3,4,5,6}}=>{{1,3,5,7},{2,4,6}}
{{1},{2,3,4,5,6,7}}=>{{1},{2,3,4,5,6,7}}
{{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}
{{1,7},{2,3,4,5},{6}}=>{{1,3,5},{2,4,7},{6}}
{{1},{2,3,4,5,7},{6}}=>{{1},{2,3,4,5,7},{6}}
{{1},{2,3,4,5},{6,7}}=>{{1},{2,3,4,5},{6,7}}
{{1},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,5},{6},{7}}
{{1,6,7},{2,3,4},{5}}=>{{1,3,6,7},{2,4},{5}}
{{1,6},{2,3,4,7},{5}}=>{{1,3,7},{2,4,6},{5}}
{{1,6},{2,3,4},{5,7}}=>{{1,3,7},{2,4},{5,6}}
{{1,6},{2,3,4},{5},{7}}=>{{1,3,6},{2,4},{5},{7}}
{{1,7},{2,3,4,6},{5}}=>{{1,3,6},{2,4,7},{5}}
{{1},{2,3,4,6,7},{5}}=>{{1},{2,3,4,6,7},{5}}
{{1},{2,3,4,6},{5,7}}=>{{1},{2,3,4,7},{5,6}}
{{1},{2,3,4,6},{5},{7}}=>{{1},{2,3,4,6},{5},{7}}
{{1,7},{2,3,4},{5,6}}=>{{1,3,6},{2,4},{5,7}}
{{1},{2,3,4,7},{5,6}}=>{{1},{2,3,4,6},{5,7}}
{{1},{2,3,4},{5,6,7}}=>{{1},{2,3,4},{5,6,7}}
{{1},{2,3,4},{5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}
{{1,7},{2,3,4},{5},{6}}=>{{1,3,7},{2,4},{5},{6}}
{{1},{2,3,4,7},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}
{{1},{2,3,4},{5,7},{6}}=>{{1},{2,3,4},{5,7},{6}}
{{1},{2,3,4},{5},{6,7}}=>{{1},{2,3,4},{5},{6,7}}
{{1},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4},{5},{6},{7}}
{{1,5,6,7},{2,3},{4}}=>{{1,3},{2,5,6,7},{4}}
{{1,5,6},{2,3,7},{4}}=>{{1,3,5,6},{2,7},{4}}
{{1,5,6},{2,3},{4,7}}=>{{1,3},{2,7},{4,5,6}}
{{1,5,6},{2,3},{4},{7}}=>{{1,3},{2,5,6},{4},{7}}
{{1,5,7},{2,3,6},{4}}=>{{1,3,5,7},{2,6},{4}}
{{1,5},{2,3,6,7},{4}}=>{{1,3,5},{2,6,7},{4}}
{{1,5},{2,3,6},{4,7}}=>{{1,3,6},{2,7},{4,5}}
{{1,5},{2,3,6},{4},{7}}=>{{1,3,5},{2,6},{4},{7}}
{{1,5,7},{2,3},{4,6}}=>{{1,3},{2,6},{4,5,7}}
{{1,5},{2,3,7},{4,6}}=>{{1,3,7},{2,6},{4,5}}
{{1,5},{2,3},{4,6,7}}=>{{1,3},{2,6,7},{4,5}}
{{1,5},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5},{7}}
{{1,5,7},{2,3},{4},{6}}=>{{1,3},{2,5,7},{4},{6}}
{{1,5},{2,3,7},{4},{6}}=>{{1,3,5},{2,7},{4},{6}}
{{1,5},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5},{6}}
{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2,5},{4},{6,7}}
{{1,5},{2,3},{4},{6},{7}}=>{{1,3},{2,5},{4},{6},{7}}
{{1,6,7},{2,3,5},{4}}=>{{1,3,6,7},{2,5},{4}}
{{1,6},{2,3,5,7},{4}}=>{{1,3,7},{2,5,6},{4}}
{{1,6},{2,3,5},{4,7}}=>{{1,3,5},{2,7},{4,6}}
{{1,6},{2,3,5},{4},{7}}=>{{1,3,6},{2,5},{4},{7}}
{{1,7},{2,3,5,6},{4}}=>{{1,3,6},{2,5,7},{4}}
{{1},{2,3,5,6,7},{4}}=>{{1},{2,3,5,6,7},{4}}
{{1},{2,3,5,6},{4,7}}=>{{1},{2,3,7},{4,5,6}}
{{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}
{{1,7},{2,3,5},{4,6}}=>{{1,3,5},{2,6},{4,7}}
{{1},{2,3,5,7},{4,6}}=>{{1},{2,3,6},{4,5,7}}
{{1},{2,3,5},{4,6,7}}=>{{1},{2,3,6,7},{4,5}}
{{1},{2,3,5},{4,6},{7}}=>{{1},{2,3,6},{4,5},{7}}
{{1,7},{2,3,5},{4},{6}}=>{{1,3,7},{2,5},{4},{6}}
{{1},{2,3,5,7},{4},{6}}=>{{1},{2,3,5,7},{4},{6}}
{{1},{2,3,5},{4,7},{6}}=>{{1},{2,3,7},{4,5},{6}}
{{1},{2,3,5},{4},{6,7}}=>{{1},{2,3,5},{4},{6,7}}
{{1},{2,3,5},{4},{6},{7}}=>{{1},{2,3,5},{4},{6},{7}}
{{1,6,7},{2,3},{4,5}}=>{{1,3},{2,5},{4,6,7}}
{{1,6},{2,3,7},{4,5}}=>{{1,3,7},{2,5},{4,6}}
{{1,6},{2,3},{4,5,7}}=>{{1,3},{2,5,6},{4,7}}
{{1,6},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6},{7}}
{{1,7},{2,3,6},{4,5}}=>{{1,3,6},{2,5},{4,7}}
{{1},{2,3,6,7},{4,5}}=>{{1},{2,3,5},{4,6,7}}
{{1},{2,3,6},{4,5,7}}=>{{1},{2,3,5,6},{4,7}}
{{1},{2,3,6},{4,5},{7}}=>{{1},{2,3,5},{4,6},{7}}
{{1,7},{2,3},{4,5,6}}=>{{1,3},{2,5,7},{4,6}}
{{1},{2,3,7},{4,5,6}}=>{{1},{2,3,5,7},{4,6}}
{{1},{2,3},{4,5,6,7}}=>{{1},{2,3},{4,5,6,7}}
{{1},{2,3},{4,5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}
{{1,7},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7},{6}}
{{1},{2,3,7},{4,5},{6}}=>{{1},{2,3,5},{4,7},{6}}
{{1},{2,3},{4,5,7},{6}}=>{{1},{2,3},{4,5,7},{6}}
{{1},{2,3},{4,5},{6,7}}=>{{1},{2,3},{4,5},{6,7}}
{{1},{2,3},{4,5},{6},{7}}=>{{1},{2,3},{4,5},{6},{7}}
{{1,6,7},{2,3},{4},{5}}=>{{1,3},{2,6,7},{4},{5}}
{{1,6},{2,3,7},{4},{5}}=>{{1,3,6},{2,7},{4},{5}}
{{1,6},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6},{5}}
{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}
{{1,6},{2,3},{4},{5},{7}}=>{{1,3},{2,6},{4},{5},{7}}
{{1,7},{2,3,6},{4},{5}}=>{{1,3,7},{2,6},{4},{5}}
{{1},{2,3,6,7},{4},{5}}=>{{1},{2,3,6,7},{4},{5}}
{{1},{2,3,6},{4,7},{5}}=>{{1},{2,3,7},{4,6},{5}}
{{1},{2,3,6},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6}}
{{1},{2,3,6},{4},{5},{7}}=>{{1},{2,3,6},{4},{5},{7}}
{{1,7},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7},{5}}
{{1},{2,3,7},{4,6},{5}}=>{{1},{2,3,6},{4,7},{5}}
{{1},{2,3},{4,6,7},{5}}=>{{1},{2,3},{4,6,7},{5}}
{{1},{2,3},{4,6},{5,7}}=>{{1},{2,3},{4,7},{5,6}}
{{1},{2,3},{4,6},{5},{7}}=>{{1},{2,3},{4,6},{5},{7}}
{{1,7},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7}}
{{1},{2,3,7},{4},{5,6}}=>{{1},{2,3,6},{4},{5,7}}
{{1},{2,3},{4,7},{5,6}}=>{{1},{2,3},{4,6},{5,7}}
{{1},{2,3},{4},{5,6,7}}=>{{1},{2,3},{4},{5,6,7}}
{{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}
{{1,7},{2,3},{4},{5},{6}}=>{{1,3},{2,7},{4},{5},{6}}
{{1},{2,3,7},{4},{5},{6}}=>{{1},{2,3,7},{4},{5},{6}}
{{1},{2,3},{4,7},{5},{6}}=>{{1},{2,3},{4,7},{5},{6}}
{{1},{2,3},{4},{5,7},{6}}=>{{1},{2,3},{4},{5,7},{6}}
{{1},{2,3},{4},{5},{6,7}}=>{{1},{2,3},{4},{5},{6,7}}
{{1},{2,3},{4},{5},{6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}
{{1,4,5,6,7},{2},{3}}=>{{1,4,5,6,7},{2},{3}}
{{1,4,5,6},{2,7},{3}}=>{{1,7},{2,4,5,6},{3}}
{{1,4,5,6},{2},{3,7}}=>{{1,7},{2},{3,4,5,6}}
{{1,4,5,6},{2},{3},{7}}=>{{1,4,5,6},{2},{3},{7}}
{{1,4,5,7},{2,6},{3}}=>{{1,6},{2,4,5,7},{3}}
{{1,4,5},{2,6,7},{3}}=>{{1,6,7},{2,4,5},{3}}
{{1,4,5},{2,6},{3,7}}=>{{1,7},{2,6},{3,4,5}}
{{1,4,5},{2,6},{3},{7}}=>{{1,6},{2,4,5},{3},{7}}
{{1,4,5,7},{2},{3,6}}=>{{1,6},{2},{3,4,5,7}}
{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,7},{3,4,5}}
{{1,4,5},{2},{3,6,7}}=>{{1,6,7},{2},{3,4,5}}
{{1,4,5},{2},{3,6},{7}}=>{{1,6},{2},{3,4,5},{7}}
{{1,4,5,7},{2},{3},{6}}=>{{1,4,5,7},{2},{3},{6}}
{{1,4,5},{2,7},{3},{6}}=>{{1,7},{2,4,5},{3},{6}}
{{1,4,5},{2},{3,7},{6}}=>{{1,7},{2},{3,4,5},{6}}
{{1,4,5},{2},{3},{6,7}}=>{{1,4,5},{2},{3},{6,7}}
{{1,4,5},{2},{3},{6},{7}}=>{{1,4,5},{2},{3},{6},{7}}
{{1,4,6,7},{2,5},{3}}=>{{1,5},{2,4,6,7},{3}}
{{1,4,6},{2,5,7},{3}}=>{{1,5,6},{2,4,7},{3}}
{{1,4,6},{2,5},{3,7}}=>{{1,7},{2,5},{3,4,6}}
{{1,4,6},{2,5},{3},{7}}=>{{1,5},{2,4,6},{3},{7}}
{{1,4,7},{2,5,6},{3}}=>{{1,5,7},{2,4,6},{3}}
{{1,4},{2,5,6,7},{3}}=>{{1,5,6,7},{2,4},{3}}
{{1,4},{2,5,6},{3,7}}=>{{1,7},{2,5,6},{3,4}}
{{1,4},{2,5,6},{3},{7}}=>{{1,5,6},{2,4},{3},{7}}
{{1,4,7},{2,5},{3,6}}=>{{1,6},{2,5},{3,4,7}}
{{1,4},{2,5,7},{3,6}}=>{{1,6},{2,5,7},{3,4}}
{{1,4},{2,5},{3,6,7}}=>{{1,6,7},{2,5},{3,4}}
{{1,4},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4},{7}}
{{1,4,7},{2,5},{3},{6}}=>{{1,5},{2,4,7},{3},{6}}
{{1,4},{2,5,7},{3},{6}}=>{{1,5,7},{2,4},{3},{6}}
{{1,4},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4},{6}}
{{1,4},{2,5},{3},{6,7}}=>{{1,5},{2,4},{3},{6,7}}
{{1,4},{2,5},{3},{6},{7}}=>{{1,5},{2,4},{3},{6},{7}}
{{1,4,6,7},{2},{3,5}}=>{{1,5},{2},{3,4,6,7}}
{{1,4,6},{2,7},{3,5}}=>{{1,5},{2,7},{3,4,6}}
{{1,4,6},{2},{3,5,7}}=>{{1,5,6},{2},{3,4,7}}
{{1,4,6},{2},{3,5},{7}}=>{{1,5},{2},{3,4,6},{7}}
{{1,4,7},{2,6},{3,5}}=>{{1,5},{2,6},{3,4,7}}
{{1,4},{2,6,7},{3,5}}=>{{1,5},{2,6,7},{3,4}}
{{1,4},{2,6},{3,5,7}}=>{{1,5,6},{2,7},{3,4}}
{{1,4},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4},{7}}
{{1,4,7},{2},{3,5,6}}=>{{1,5,7},{2},{3,4,6}}
{{1,4},{2,7},{3,5,6}}=>{{1,5,7},{2,6},{3,4}}
{{1,4},{2},{3,5,6,7}}=>{{1,5,6,7},{2},{3,4}}
{{1,4},{2},{3,5,6},{7}}=>{{1,5,6},{2},{3,4},{7}}
{{1,4,7},{2},{3,5},{6}}=>{{1,5},{2},{3,4,7},{6}}
{{1,4},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4},{6}}
{{1,4},{2},{3,5,7},{6}}=>{{1,5,7},{2},{3,4},{6}}
{{1,4},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4},{6,7}}
{{1,4},{2},{3,5},{6},{7}}=>{{1,5},{2},{3,4},{6},{7}}
{{1,4,6,7},{2},{3},{5}}=>{{1,4,6,7},{2},{3},{5}}
{{1,4,6},{2,7},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}
{{1,4,6},{2},{3,7},{5}}=>{{1,7},{2},{3,4,6},{5}}
{{1,4,6},{2},{3},{5,7}}=>{{1,4,7},{2},{3},{5,6}}
{{1,4,6},{2},{3},{5},{7}}=>{{1,4,6},{2},{3},{5},{7}}
{{1,4,7},{2,6},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}
{{1,4},{2,6,7},{3},{5}}=>{{1,6,7},{2,4},{3},{5}}
{{1,4},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4},{5}}
{{1,4},{2,6},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6}}
{{1,4},{2,6},{3},{5},{7}}=>{{1,6},{2,4},{3},{5},{7}}
{{1,4,7},{2},{3,6},{5}}=>{{1,6},{2},{3,4,7},{5}}
{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4},{5}}
{{1,4},{2},{3,6,7},{5}}=>{{1,6,7},{2},{3,4},{5}}
{{1,4},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4},{5,6}}
{{1,4},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4},{5},{7}}
{{1,4,7},{2},{3},{5,6}}=>{{1,4,6},{2},{3},{5,7}}
{{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7}}
{{1,4},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4},{5,7}}
{{1,4},{2},{3},{5,6,7}}=>{{1,4},{2},{3},{5,6,7}}
{{1,4},{2},{3},{5,6},{7}}=>{{1,4},{2},{3},{5,6},{7}}
{{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}
{{1,4},{2,7},{3},{5},{6}}=>{{1,7},{2,4},{3},{5},{6}}
{{1,4},{2},{3,7},{5},{6}}=>{{1,7},{2},{3,4},{5},{6}}
{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2},{3},{5,7},{6}}
{{1,4},{2},{3},{5},{6,7}}=>{{1,4},{2},{3},{5},{6,7}}
{{1,4},{2},{3},{5},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7}}
{{1,5,6,7},{2,4},{3}}=>{{1,4},{2,5,6,7},{3}}
{{1,5,6},{2,4,7},{3}}=>{{1,4,5,6},{2,7},{3}}
{{1,5,6},{2,4},{3,7}}=>{{1,7},{2,4},{3,5,6}}
{{1,5,6},{2,4},{3},{7}}=>{{1,4},{2,5,6},{3},{7}}
{{1,5,7},{2,4,6},{3}}=>{{1,4,5,7},{2,6},{3}}
{{1,5},{2,4,6,7},{3}}=>{{1,4,5},{2,6,7},{3}}
{{1,5},{2,4,6},{3,7}}=>{{1,7},{2,4,5},{3,6}}
{{1,5},{2,4,6},{3},{7}}=>{{1,4,5},{2,6},{3},{7}}
{{1,5,7},{2,4},{3,6}}=>{{1,6},{2,4},{3,5,7}}
{{1,5},{2,4,7},{3,6}}=>{{1,6},{2,4,5},{3,7}}
{{1,5},{2,4},{3,6,7}}=>{{1,6,7},{2,4},{3,5}}
{{1,5},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5},{7}}
{{1,5,7},{2,4},{3},{6}}=>{{1,4},{2,5,7},{3},{6}}
{{1,5},{2,4,7},{3},{6}}=>{{1,4,5},{2,7},{3},{6}}
{{1,5},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5},{6}}
{{1,5},{2,4},{3},{6,7}}=>{{1,4},{2,5},{3},{6,7}}
{{1,5},{2,4},{3},{6},{7}}=>{{1,4},{2,5},{3},{6},{7}}
{{1,6,7},{2,4,5},{3}}=>{{1,4,6,7},{2,5},{3}}
{{1,6},{2,4,5,7},{3}}=>{{1,4,7},{2,5,6},{3}}
{{1,6},{2,4,5},{3,7}}=>{{1,7},{2,4,6},{3,5}}
{{1,6},{2,4,5},{3},{7}}=>{{1,4,6},{2,5},{3},{7}}
{{1,7},{2,4,5,6},{3}}=>{{1,4,6},{2,5,7},{3}}
{{1},{2,4,5,6,7},{3}}=>{{1},{2,4,5,6,7},{3}}
{{1},{2,4,5,6},{3,7}}=>{{1},{2,7},{3,4,5,6}}
{{1},{2,4,5,6},{3},{7}}=>{{1},{2,4,5,6},{3},{7}}
{{1,7},{2,4,5},{3,6}}=>{{1,6},{2,4,7},{3,5}}
{{1},{2,4,5,7},{3,6}}=>{{1},{2,6},{3,4,5,7}}
{{1},{2,4,5},{3,6,7}}=>{{1},{2,6,7},{3,4,5}}
{{1},{2,4,5},{3,6},{7}}=>{{1},{2,6},{3,4,5},{7}}
{{1,7},{2,4,5},{3},{6}}=>{{1,4,7},{2,5},{3},{6}}
{{1},{2,4,5,7},{3},{6}}=>{{1},{2,4,5,7},{3},{6}}
{{1},{2,4,5},{3,7},{6}}=>{{1},{2,7},{3,4,5},{6}}
{{1},{2,4,5},{3},{6,7}}=>{{1},{2,4,5},{3},{6,7}}
{{1},{2,4,5},{3},{6},{7}}=>{{1},{2,4,5},{3},{6},{7}}
{{1,6,7},{2,4},{3,5}}=>{{1,5},{2,4},{3,6,7}}
{{1,6},{2,4,7},{3,5}}=>{{1,5},{2,4,6},{3,7}}
{{1,6},{2,4},{3,5,7}}=>{{1,5,6},{2,4},{3,7}}
{{1,6},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6},{7}}
{{1,7},{2,4,6},{3,5}}=>{{1,5},{2,4,7},{3,6}}
{{1},{2,4,6,7},{3,5}}=>{{1},{2,5},{3,4,6,7}}
{{1},{2,4,6},{3,5,7}}=>{{1},{2,5,6},{3,4,7}}
{{1},{2,4,6},{3,5},{7}}=>{{1},{2,5},{3,4,6},{7}}
{{1,7},{2,4},{3,5,6}}=>{{1,5,7},{2,4},{3,6}}
{{1},{2,4,7},{3,5,6}}=>{{1},{2,5,7},{3,4,6}}
{{1},{2,4},{3,5,6,7}}=>{{1},{2,5,6,7},{3,4}}
{{1},{2,4},{3,5,6},{7}}=>{{1},{2,5,6},{3,4},{7}}
{{1,7},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7},{6}}
{{1},{2,4,7},{3,5},{6}}=>{{1},{2,5},{3,4,7},{6}}
{{1},{2,4},{3,5,7},{6}}=>{{1},{2,5,7},{3,4},{6}}
{{1},{2,4},{3,5},{6,7}}=>{{1},{2,5},{3,4},{6,7}}
{{1},{2,4},{3,5},{6},{7}}=>{{1},{2,5},{3,4},{6},{7}}
{{1,6,7},{2,4},{3},{5}}=>{{1,4},{2,6,7},{3},{5}}
{{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}
{{1,6},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6},{5}}
{{1,6},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6}}
{{1,6},{2,4},{3},{5},{7}}=>{{1,4},{2,6},{3},{5},{7}}
{{1,7},{2,4,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}
{{1},{2,4,6,7},{3},{5}}=>{{1},{2,4,6,7},{3},{5}}
{{1},{2,4,6},{3,7},{5}}=>{{1},{2,7},{3,4,6},{5}}
{{1},{2,4,6},{3},{5,7}}=>{{1},{2,4,7},{3},{5,6}}
{{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}
{{1,7},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7},{5}}
{{1},{2,4,7},{3,6},{5}}=>{{1},{2,6},{3,4,7},{5}}
{{1},{2,4},{3,6,7},{5}}=>{{1},{2,6,7},{3,4},{5}}
{{1},{2,4},{3,6},{5,7}}=>{{1},{2,7},{3,4},{5,6}}
{{1},{2,4},{3,6},{5},{7}}=>{{1},{2,6},{3,4},{5},{7}}
{{1,7},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7}}
{{1},{2,4,7},{3},{5,6}}=>{{1},{2,4,6},{3},{5,7}}
{{1},{2,4},{3,7},{5,6}}=>{{1},{2,6},{3,4},{5,7}}
{{1},{2,4},{3},{5,6,7}}=>{{1},{2,4},{3},{5,6,7}}
{{1},{2,4},{3},{5,6},{7}}=>{{1},{2,4},{3},{5,6},{7}}
{{1,7},{2,4},{3},{5},{6}}=>{{1,4},{2,7},{3},{5},{6}}
{{1},{2,4,7},{3},{5},{6}}=>{{1},{2,4,7},{3},{5},{6}}
{{1},{2,4},{3,7},{5},{6}}=>{{1},{2,7},{3,4},{5},{6}}
{{1},{2,4},{3},{5,7},{6}}=>{{1},{2,4},{3},{5,7},{6}}
{{1},{2,4},{3},{5},{6,7}}=>{{1},{2,4},{3},{5},{6,7}}
{{1},{2,4},{3},{5},{6},{7}}=>{{1},{2,4},{3},{5},{6},{7}}
{{1,5,6,7},{2},{3,4}}=>{{1,4},{2},{3,5,6,7}}
{{1,5,6},{2,7},{3,4}}=>{{1,4},{2,7},{3,5,6}}
{{1,5,6},{2},{3,4,7}}=>{{1,4,5,6},{2},{3,7}}
{{1,5,6},{2},{3,4},{7}}=>{{1,4},{2},{3,5,6},{7}}
{{1,5,7},{2,6},{3,4}}=>{{1,4},{2,6},{3,5,7}}
{{1,5},{2,6,7},{3,4}}=>{{1,4},{2,6,7},{3,5}}
{{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}
{{1,5},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5},{7}}
{{1,5,7},{2},{3,4,6}}=>{{1,4,5,7},{2},{3,6}}
{{1,5},{2,7},{3,4,6}}=>{{1,4,5},{2,6},{3,7}}
{{1,5},{2},{3,4,6,7}}=>{{1,4,5},{2},{3,6,7}}
{{1,5},{2},{3,4,6},{7}}=>{{1,4,5},{2},{3,6},{7}}
{{1,5,7},{2},{3,4},{6}}=>{{1,4},{2},{3,5,7},{6}}
{{1,5},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5},{6}}
{{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}
{{1,5},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5},{6,7}}
{{1,5},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5},{6},{7}}
{{1,6,7},{2,5},{3,4}}=>{{1,4},{2,5},{3,6,7}}
{{1,6},{2,5,7},{3,4}}=>{{1,4},{2,5,6},{3,7}}
{{1,6},{2,5},{3,4,7}}=>{{1,4,6},{2,7},{3,5}}
{{1,6},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6},{7}}
{{1,7},{2,5,6},{3,4}}=>{{1,4},{2,5,7},{3,6}}
{{1},{2,5,6,7},{3,4}}=>{{1},{2,4},{3,5,6,7}}
{{1},{2,5,6},{3,4,7}}=>{{1},{2,4,5,6},{3,7}}
{{1},{2,5,6},{3,4},{7}}=>{{1},{2,4},{3,5,6},{7}}
{{1,7},{2,5},{3,4,6}}=>{{1,4,7},{2,6},{3,5}}
{{1},{2,5,7},{3,4,6}}=>{{1},{2,4,5,7},{3,6}}
{{1},{2,5},{3,4,6,7}}=>{{1},{2,4,5},{3,6,7}}
{{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}}
{{1,7},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7},{6}}
{{1},{2,5,7},{3,4},{6}}=>{{1},{2,4},{3,5,7},{6}}
{{1},{2,5},{3,4,7},{6}}=>{{1},{2,4,5},{3,7},{6}}
{{1},{2,5},{3,4},{6,7}}=>{{1},{2,4},{3,5},{6,7}}
{{1},{2,5},{3,4},{6},{7}}=>{{1},{2,4},{3,5},{6},{7}}
{{1,6,7},{2},{3,4,5}}=>{{1,4,6,7},{2},{3,5}}
{{1,6},{2,7},{3,4,5}}=>{{1,4,6},{2,5},{3,7}}
{{1,6},{2},{3,4,5,7}}=>{{1,4,7},{2},{3,5,6}}
{{1,6},{2},{3,4,5},{7}}=>{{1,4,6},{2},{3,5},{7}}
{{1,7},{2,6},{3,4,5}}=>{{1,4,7},{2,5},{3,6}}
{{1},{2,6,7},{3,4,5}}=>{{1},{2,4,6,7},{3,5}}
{{1},{2,6},{3,4,5,7}}=>{{1},{2,4,7},{3,5,6}}
{{1},{2,6},{3,4,5},{7}}=>{{1},{2,4,6},{3,5},{7}}
{{1,7},{2},{3,4,5,6}}=>{{1,4,6},{2},{3,5,7}}
{{1},{2,7},{3,4,5,6}}=>{{1},{2,4,6},{3,5,7}}
{{1},{2},{3,4,5,6,7}}=>{{1},{2},{3,4,5,6,7}}
{{1},{2},{3,4,5,6},{7}}=>{{1},{2},{3,4,5,6},{7}}
{{1,7},{2},{3,4,5},{6}}=>{{1,4,7},{2},{3,5},{6}}
{{1},{2,7},{3,4,5},{6}}=>{{1},{2,4,7},{3,5},{6}}
{{1},{2},{3,4,5,7},{6}}=>{{1},{2},{3,4,5,7},{6}}
{{1},{2},{3,4,5},{6,7}}=>{{1},{2},{3,4,5},{6,7}}
{{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}
{{1,6,7},{2},{3,4},{5}}=>{{1,4},{2},{3,6,7},{5}}
{{1,6},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6},{5}}
{{1,6},{2},{3,4,7},{5}}=>{{1,4,6},{2},{3,7},{5}}
{{1,6},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6}}
{{1,6},{2},{3,4},{5},{7}}=>{{1,4},{2},{3,6},{5},{7}}
{{1,7},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7},{5}}
{{1},{2,6,7},{3,4},{5}}=>{{1},{2,4},{3,6,7},{5}}
{{1},{2,6},{3,4,7},{5}}=>{{1},{2,4,6},{3,7},{5}}
{{1},{2,6},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6}}
{{1},{2,6},{3,4},{5},{7}}=>{{1},{2,4},{3,6},{5},{7}}
{{1,7},{2},{3,4,6},{5}}=>{{1,4,7},{2},{3,6},{5}}
{{1},{2,7},{3,4,6},{5}}=>{{1},{2,4,7},{3,6},{5}}
{{1},{2},{3,4,6,7},{5}}=>{{1},{2},{3,4,6,7},{5}}
{{1},{2},{3,4,6},{5,7}}=>{{1},{2},{3,4,7},{5,6}}
{{1},{2},{3,4,6},{5},{7}}=>{{1},{2},{3,4,6},{5},{7}}
{{1,7},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7}}
{{1},{2,7},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7}}
{{1},{2},{3,4,7},{5,6}}=>{{1},{2},{3,4,6},{5,7}}
{{1},{2},{3,4},{5,6,7}}=>{{1},{2},{3,4},{5,6,7}}
{{1},{2},{3,4},{5,6},{7}}=>{{1},{2},{3,4},{5,6},{7}}
{{1,7},{2},{3,4},{5},{6}}=>{{1,4},{2},{3,7},{5},{6}}
{{1},{2,7},{3,4},{5},{6}}=>{{1},{2,4},{3,7},{5},{6}}
{{1},{2},{3,4,7},{5},{6}}=>{{1},{2},{3,4,7},{5},{6}}
{{1},{2},{3,4},{5,7},{6}}=>{{1},{2},{3,4},{5,7},{6}}
{{1},{2},{3,4},{5},{6,7}}=>{{1},{2},{3,4},{5},{6,7}}
{{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}
{{1,5,6,7},{2},{3},{4}}=>{{1,5,6,7},{2},{3},{4}}
{{1,5,6},{2,7},{3},{4}}=>{{1,7},{2,5,6},{3},{4}}
{{1,5,6},{2},{3,7},{4}}=>{{1,7},{2},{3,5,6},{4}}
{{1,5,6},{2},{3},{4,7}}=>{{1,7},{2},{3},{4,5,6}}
{{1,5,6},{2},{3},{4},{7}}=>{{1,5,6},{2},{3},{4},{7}}
{{1,5,7},{2,6},{3},{4}}=>{{1,6},{2,5,7},{3},{4}}
{{1,5},{2,6,7},{3},{4}}=>{{1,6,7},{2,5},{3},{4}}
{{1,5},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5},{4}}
{{1,5},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5}}
{{1,5},{2,6},{3},{4},{7}}=>{{1,6},{2,5},{3},{4},{7}}
{{1,5,7},{2},{3,6},{4}}=>{{1,6},{2},{3,5,7},{4}}
{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5},{4}}
{{1,5},{2},{3,6,7},{4}}=>{{1,6,7},{2},{3,5},{4}}
{{1,5},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5}}
{{1,5},{2},{3,6},{4},{7}}=>{{1,6},{2},{3,5},{4},{7}}
{{1,5,7},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5,7}}
{{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5}}
{{1,5},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5}}
{{1,5},{2},{3},{4,6,7}}=>{{1,6,7},{2},{3},{4,5}}
{{1,5},{2},{3},{4,6},{7}}=>{{1,6},{2},{3},{4,5},{7}}
{{1,5,7},{2},{3},{4},{6}}=>{{1,5,7},{2},{3},{4},{6}}
{{1,5},{2,7},{3},{4},{6}}=>{{1,7},{2,5},{3},{4},{6}}
{{1,5},{2},{3,7},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}
{{1,5},{2},{3},{4,7},{6}}=>{{1,7},{2},{3},{4,5},{6}}
{{1,5},{2},{3},{4},{6,7}}=>{{1,5},{2},{3},{4},{6,7}}
{{1,5},{2},{3},{4},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7}}
{{1,6,7},{2,5},{3},{4}}=>{{1,5},{2,6,7},{3},{4}}
{{1,6},{2,5,7},{3},{4}}=>{{1,5,6},{2,7},{3},{4}}
{{1,6},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6},{4}}
{{1,6},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6}}
{{1,6},{2,5},{3},{4},{7}}=>{{1,5},{2,6},{3},{4},{7}}
{{1,7},{2,5,6},{3},{4}}=>{{1,5,7},{2,6},{3},{4}}
{{1},{2,5,6,7},{3},{4}}=>{{1},{2,5,6,7},{3},{4}}
{{1},{2,5,6},{3,7},{4}}=>{{1},{2,7},{3,5,6},{4}}
{{1},{2,5,6},{3},{4,7}}=>{{1},{2,7},{3},{4,5,6}}
{{1},{2,5,6},{3},{4},{7}}=>{{1},{2,5,6},{3},{4},{7}}
{{1,7},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}
{{1},{2,5,7},{3,6},{4}}=>{{1},{2,6},{3,5,7},{4}}
{{1},{2,5},{3,6,7},{4}}=>{{1},{2,6,7},{3,5},{4}}
{{1},{2,5},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5}}
{{1},{2,5},{3,6},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}
{{1,7},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7}}
{{1},{2,5,7},{3},{4,6}}=>{{1},{2,6},{3},{4,5,7}}
{{1},{2,5},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5}}
{{1},{2,5},{3},{4,6,7}}=>{{1},{2,6,7},{3},{4,5}}
{{1},{2,5},{3},{4,6},{7}}=>{{1},{2,6},{3},{4,5},{7}}
{{1,7},{2,5},{3},{4},{6}}=>{{1,5},{2,7},{3},{4},{6}}
{{1},{2,5,7},{3},{4},{6}}=>{{1},{2,5,7},{3},{4},{6}}
{{1},{2,5},{3,7},{4},{6}}=>{{1},{2,7},{3,5},{4},{6}}
{{1},{2,5},{3},{4,7},{6}}=>{{1},{2,7},{3},{4,5},{6}}
{{1},{2,5},{3},{4},{6,7}}=>{{1},{2,5},{3},{4},{6,7}}
{{1},{2,5},{3},{4},{6},{7}}=>{{1},{2,5},{3},{4},{6},{7}}
{{1,6,7},{2},{3,5},{4}}=>{{1,5},{2},{3,6,7},{4}}
{{1,6},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6},{4}}
{{1,6},{2},{3,5,7},{4}}=>{{1,5,6},{2},{3,7},{4}}
{{1,6},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6}}
{{1,6},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6},{4},{7}}
{{1,7},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7},{4}}
{{1},{2,6,7},{3,5},{4}}=>{{1},{2,5},{3,6,7},{4}}
{{1},{2,6},{3,5,7},{4}}=>{{1},{2,5,6},{3,7},{4}}
{{1},{2,6},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6}}
{{1},{2,6},{3,5},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}
{{1,7},{2},{3,5,6},{4}}=>{{1,5,7},{2},{3,6},{4}}
{{1},{2,7},{3,5,6},{4}}=>{{1},{2,5,7},{3,6},{4}}
{{1},{2},{3,5,6,7},{4}}=>{{1},{2},{3,5,6,7},{4}}
{{1},{2},{3,5,6},{4,7}}=>{{1},{2},{3,7},{4,5,6}}
{{1},{2},{3,5,6},{4},{7}}=>{{1},{2},{3,5,6},{4},{7}}
{{1,7},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7}}
{{1},{2,7},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7}}
{{1},{2},{3,5,7},{4,6}}=>{{1},{2},{3,6},{4,5,7}}
{{1},{2},{3,5},{4,6,7}}=>{{1},{2},{3,6,7},{4,5}}
{{1},{2},{3,5},{4,6},{7}}=>{{1},{2},{3,6},{4,5},{7}}
{{1,7},{2},{3,5},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}
{{1},{2,7},{3,5},{4},{6}}=>{{1},{2,5},{3,7},{4},{6}}
{{1},{2},{3,5,7},{4},{6}}=>{{1},{2},{3,5,7},{4},{6}}
{{1},{2},{3,5},{4,7},{6}}=>{{1},{2},{3,7},{4,5},{6}}
{{1},{2},{3,5},{4},{6,7}}=>{{1},{2},{3,5},{4},{6,7}}
{{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}
{{1,6,7},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6,7}}
{{1,6},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6}}
{{1,6},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6}}
{{1,6},{2},{3},{4,5,7}}=>{{1,5,6},{2},{3},{4,7}}
{{1,6},{2},{3},{4,5},{7}}=>{{1,5},{2},{3},{4,6},{7}}
{{1,7},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7}}
{{1},{2,6,7},{3},{4,5}}=>{{1},{2,5},{3},{4,6,7}}
{{1},{2,6},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6}}
{{1},{2,6},{3},{4,5,7}}=>{{1},{2,5,6},{3},{4,7}}
{{1},{2,6},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6},{7}}
{{1,7},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7}}
{{1},{2,7},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7}}
{{1},{2},{3,6,7},{4,5}}=>{{1},{2},{3,5},{4,6,7}}
{{1},{2},{3,6},{4,5,7}}=>{{1},{2},{3,5,6},{4,7}}
{{1},{2},{3,6},{4,5},{7}}=>{{1},{2},{3,5},{4,6},{7}}
{{1,7},{2},{3},{4,5,6}}=>{{1,5,7},{2},{3},{4,6}}
{{1},{2,7},{3},{4,5,6}}=>{{1},{2,5,7},{3},{4,6}}
{{1},{2},{3,7},{4,5,6}}=>{{1},{2},{3,5,7},{4,6}}
{{1},{2},{3},{4,5,6,7}}=>{{1},{2},{3},{4,5,6,7}}
{{1},{2},{3},{4,5,6},{7}}=>{{1},{2},{3},{4,5,6},{7}}
{{1,7},{2},{3},{4,5},{6}}=>{{1,5},{2},{3},{4,7},{6}}
{{1},{2,7},{3},{4,5},{6}}=>{{1},{2,5},{3},{4,7},{6}}
{{1},{2},{3,7},{4,5},{6}}=>{{1},{2},{3,5},{4,7},{6}}
{{1},{2},{3},{4,5,7},{6}}=>{{1},{2},{3},{4,5,7},{6}}
{{1},{2},{3},{4,5},{6,7}}=>{{1},{2},{3},{4,5},{6,7}}
{{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}
{{1,6,7},{2},{3},{4},{5}}=>{{1,6,7},{2},{3},{4},{5}}
{{1,6},{2,7},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}
{{1,6},{2},{3,7},{4},{5}}=>{{1,7},{2},{3,6},{4},{5}}
{{1,6},{2},{3},{4,7},{5}}=>{{1,7},{2},{3},{4,6},{5}}
{{1,6},{2},{3},{4},{5,7}}=>{{1,7},{2},{3},{4},{5,6}}
{{1,6},{2},{3},{4},{5},{7}}=>{{1,6},{2},{3},{4},{5},{7}}
{{1,7},{2,6},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}
{{1},{2,6,7},{3},{4},{5}}=>{{1},{2,6,7},{3},{4},{5}}
{{1},{2,6},{3,7},{4},{5}}=>{{1},{2,7},{3,6},{4},{5}}
{{1},{2,6},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6},{5}}
{{1},{2,6},{3},{4},{5,7}}=>{{1},{2,7},{3},{4},{5,6}}
{{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}
{{1,7},{2},{3,6},{4},{5}}=>{{1,6},{2},{3,7},{4},{5}}
{{1},{2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,7},{4},{5}}
{{1},{2},{3,6,7},{4},{5}}=>{{1},{2},{3,6,7},{4},{5}}
{{1},{2},{3,6},{4,7},{5}}=>{{1},{2},{3,7},{4,6},{5}}
{{1},{2},{3,6},{4},{5,7}}=>{{1},{2},{3,7},{4},{5,6}}
{{1},{2},{3,6},{4},{5},{7}}=>{{1},{2},{3,6},{4},{5},{7}}
{{1,7},{2},{3},{4,6},{5}}=>{{1,6},{2},{3},{4,7},{5}}
{{1},{2,7},{3},{4,6},{5}}=>{{1},{2,6},{3},{4,7},{5}}
{{1},{2},{3,7},{4,6},{5}}=>{{1},{2},{3,6},{4,7},{5}}
{{1},{2},{3},{4,6,7},{5}}=>{{1},{2},{3},{4,6,7},{5}}
{{1},{2},{3},{4,6},{5,7}}=>{{1},{2},{3},{4,7},{5,6}}
{{1},{2},{3},{4,6},{5},{7}}=>{{1},{2},{3},{4,6},{5},{7}}
{{1,7},{2},{3},{4},{5,6}}=>{{1,6},{2},{3},{4},{5,7}}
{{1},{2,7},{3},{4},{5,6}}=>{{1},{2,6},{3},{4},{5,7}}
{{1},{2},{3,7},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7}}
{{1},{2},{3},{4,7},{5,6}}=>{{1},{2},{3},{4,6},{5,7}}
{{1},{2},{3},{4},{5,6,7}}=>{{1},{2},{3},{4},{5,6,7}}
{{1},{2},{3},{4},{5,6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}
{{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}
{{1},{2,7},{3},{4},{5},{6}}=>{{1},{2,7},{3},{4},{5},{6}}
{{1},{2},{3,7},{4},{5},{6}}=>{{1},{2},{3,7},{4},{5},{6}}
{{1},{2},{3},{4,7},{5},{6}}=>{{1},{2},{3},{4,7},{5},{6}}
{{1},{2},{3},{4},{5,7},{6}}=>{{1},{2},{3},{4},{5,7},{6}}
{{1},{2},{3},{4},{5},{6,7}}=>{{1},{2},{3},{4},{5},{6,7}}
{{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}
{{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}}
{{1,3},{2,4},{5,6},{7,8}}=>{{1,4},{2,3},{5,6},{7,8}}
{{1,4},{2,3},{5,6},{7,8}}=>{{1,3},{2,4},{5,6},{7,8}}
{{1,5},{2,3},{4,6},{7,8}}=>{{1,3},{2,6},{4,5},{7,8}}
{{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2,5},{4,6},{7,8}}
{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}
{{1,8},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8}}
{{1,8},{2,4},{3,5},{6,7}}=>{{1,5},{2,4},{3,7},{6,8}}
{{1,7},{2,4},{3,5},{6,8}}=>{{1,5},{2,4},{3,8},{6,7}}
{{1,6},{2,4},{3,5},{7,8}}=>{{1,5},{2,4},{3,6},{7,8}}
{{1,5},{2,4},{3,6},{7,8}}=>{{1,6},{2,4},{3,5},{7,8}}
{{1,4},{2,5},{3,6},{7,8}}=>{{1,6},{2,5},{3,4},{7,8}}
{{1,3},{2,5},{4,6},{7,8}}=>{{1,6},{2,3},{4,5},{7,8}}
{{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}
{{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}
{{1,3},{2,6},{4,5},{7,8}}=>{{1,5},{2,3},{4,6},{7,8}}
{{1,4},{2,6},{3,5},{7,8}}=>{{1,5},{2,6},{3,4},{7,8}}
{{1,5},{2,6},{3,4},{7,8}}=>{{1,4},{2,6},{3,5},{7,8}}
{{1,6},{2,5},{3,4},{7,8}}=>{{1,4},{2,5},{3,6},{7,8}}
{{1,7},{2,5},{3,4},{6,8}}=>{{1,4},{2,5},{3,8},{6,7}}
{{1,8},{2,5},{3,4},{6,7}}=>{{1,4},{2,5},{3,7},{6,8}}
{{1,8},{2,6},{3,4},{5,7}}=>{{1,4},{2,7},{3,6},{5,8}}
{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}
{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}
{{1,5},{2,7},{3,4},{6,8}}=>{{1,4},{2,8},{3,5},{6,7}}
{{1,4},{2,7},{3,5},{6,8}}=>{{1,5},{2,8},{3,4},{6,7}}
{{1,3},{2,7},{4,5},{6,8}}=>{{1,5},{2,3},{4,8},{6,7}}
{{1,2},{3,7},{4,5},{6,8}}=>{{1,2},{3,5},{4,8},{6,7}}
{{1,2},{3,8},{4,5},{6,7}}=>{{1,2},{3,5},{4,7},{6,8}}
{{1,3},{2,8},{4,5},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}
{{1,4},{2,8},{3,5},{6,7}}=>{{1,5},{2,7},{3,4},{6,8}}
{{1,5},{2,8},{3,4},{6,7}}=>{{1,4},{2,7},{3,5},{6,8}}
{{1,6},{2,8},{3,4},{5,7}}=>{{1,4},{2,7},{3,8},{5,6}}
{{1,7},{2,8},{3,4},{5,6}}=>{{1,4},{2,6},{3,8},{5,7}}
{{1,8},{2,7},{3,4},{5,6}}=>{{1,4},{2,6},{3,7},{5,8}}
{{1,8},{2,7},{3,5},{4,6}}=>{{1,6},{2,5},{3,7},{4,8}}
{{1,7},{2,8},{3,5},{4,6}}=>{{1,6},{2,5},{3,8},{4,7}}
{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}
{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,6},{3,8},{4,5}}
{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,6},{3,4},{5,8}}
{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,3},{4,6},{5,8}}
{{1,2},{3,8},{4,6},{5,7}}=>{{1,2},{3,7},{4,6},{5,8}}
{{1,2},{3,7},{4,6},{5,8}}=>{{1,2},{3,8},{4,6},{5,7}}
{{1,3},{2,7},{4,6},{5,8}}=>{{1,8},{2,3},{4,6},{5,7}}
{{1,4},{2,7},{3,6},{5,8}}=>{{1,8},{2,6},{3,4},{5,7}}
{{1,5},{2,7},{3,6},{4,8}}=>{{1,8},{2,6},{3,7},{4,5}}
{{1,6},{2,7},{3,5},{4,8}}=>{{1,8},{2,5},{3,7},{4,6}}
{{1,7},{2,6},{3,5},{4,8}}=>{{1,8},{2,5},{3,6},{4,7}}
{{1,8},{2,6},{3,5},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}
{{1,8},{2,5},{3,6},{4,7}}=>{{1,7},{2,6},{3,5},{4,8}}
{{1,7},{2,5},{3,6},{4,8}}=>{{1,8},{2,6},{3,5},{4,7}}
{{1,6},{2,5},{3,7},{4,8}}=>{{1,8},{2,7},{3,5},{4,6}}
{{1,5},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5}}
{{1,4},{2,6},{3,7},{5,8}}=>{{1,8},{2,7},{3,4},{5,6}}
{{1,3},{2,6},{4,7},{5,8}}=>{{1,8},{2,3},{4,7},{5,6}}
{{1,2},{3,6},{4,7},{5,8}}=>{{1,2},{3,8},{4,7},{5,6}}
{{1,2},{3,5},{4,7},{6,8}}=>{{1,2},{3,8},{4,5},{6,7}}
{{1,3},{2,5},{4,7},{6,8}}=>{{1,8},{2,3},{4,5},{6,7}}
{{1,4},{2,5},{3,7},{6,8}}=>{{1,8},{2,5},{3,4},{6,7}}
{{1,5},{2,4},{3,7},{6,8}}=>{{1,8},{2,4},{3,5},{6,7}}
{{1,6},{2,4},{3,7},{5,8}}=>{{1,8},{2,4},{3,7},{5,6}}
{{1,7},{2,4},{3,6},{5,8}}=>{{1,8},{2,4},{3,6},{5,7}}
{{1,8},{2,4},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}
{{1,8},{2,3},{4,6},{5,7}}=>{{1,3},{2,7},{4,6},{5,8}}
{{1,7},{2,3},{4,6},{5,8}}=>{{1,3},{2,8},{4,6},{5,7}}
{{1,6},{2,3},{4,7},{5,8}}=>{{1,3},{2,8},{4,7},{5,6}}
{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}
{{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}
{{1,3},{2,4},{5,7},{6,8}}=>{{1,4},{2,3},{5,8},{6,7}}
{{1,2},{3,4},{5,7},{6,8}}=>{{1,2},{3,4},{5,8},{6,7}}
{{1,2},{3,4},{5,8},{6,7}}=>{{1,2},{3,4},{5,7},{6,8}}
{{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}
{{1,4},{2,3},{5,8},{6,7}}=>{{1,3},{2,4},{5,7},{6,8}}
{{1,5},{2,3},{4,8},{6,7}}=>{{1,3},{2,7},{4,5},{6,8}}
{{1,6},{2,3},{4,8},{5,7}}=>{{1,3},{2,7},{4,8},{5,6}}
{{1,7},{2,3},{4,8},{5,6}}=>{{1,3},{2,6},{4,8},{5,7}}
{{1,8},{2,3},{4,7},{5,6}}=>{{1,3},{2,6},{4,7},{5,8}}
{{1,8},{2,4},{3,7},{5,6}}=>{{1,6},{2,4},{3,7},{5,8}}
{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,4},{3,8},{5,7}}
{{1,6},{2,4},{3,8},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}
{{1,5},{2,4},{3,8},{6,7}}=>{{1,7},{2,4},{3,5},{6,8}}
{{1,4},{2,5},{3,8},{6,7}}=>{{1,7},{2,5},{3,4},{6,8}}
{{1,3},{2,5},{4,8},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}
{{1,2},{3,5},{4,8},{6,7}}=>{{1,2},{3,7},{4,5},{6,8}}
{{1,2},{3,6},{4,8},{5,7}}=>{{1,2},{3,7},{4,8},{5,6}}
{{1,3},{2,6},{4,8},{5,7}}=>{{1,7},{2,3},{4,8},{5,6}}
{{1,4},{2,6},{3,8},{5,7}}=>{{1,7},{2,8},{3,4},{5,6}}
{{1,5},{2,6},{3,8},{4,7}}=>{{1,7},{2,8},{3,6},{4,5}}
{{1,6},{2,5},{3,8},{4,7}}=>{{1,7},{2,8},{3,5},{4,6}}
{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}
{{1,8},{2,5},{3,7},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}
{{1,8},{2,6},{3,7},{4,5}}=>{{1,5},{2,7},{3,6},{4,8}}
{{1,7},{2,6},{3,8},{4,5}}=>{{1,5},{2,8},{3,6},{4,7}}
{{1,6},{2,7},{3,8},{4,5}}=>{{1,5},{2,8},{3,7},{4,6}}
{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,8},{3,7},{4,5}}
{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}
{{1,3},{2,7},{4,8},{5,6}}=>{{1,6},{2,3},{4,8},{5,7}}
{{1,2},{3,7},{4,8},{5,6}}=>{{1,2},{3,6},{4,8},{5,7}}
{{1,2},{3,8},{4,7},{5,6}}=>{{1,2},{3,6},{4,7},{5,8}}
{{1,3},{2,8},{4,7},{5,6}}=>{{1,6},{2,3},{4,7},{5,8}}
{{1,4},{2,8},{3,7},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}
{{1,5},{2,8},{3,7},{4,6}}=>{{1,6},{2,7},{3,8},{4,5}}
{{1,6},{2,8},{3,7},{4,5}}=>{{1,5},{2,7},{3,8},{4,6}}
{{1,7},{2,8},{3,6},{4,5}}=>{{1,5},{2,6},{3,8},{4,7}}
{{1,8},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8}}
{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}
{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}
{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}
{{1},{2},{3},{4},{5},{6,8},{7}}=>{{1},{2},{3},{4},{5},{6,8},{7}}
{{1},{2},{3},{4},{5},{6,7,8}}=>{{1},{2},{3},{4},{5},{6,7,8}}
{{1},{2},{3},{4},{5,6},{7,8}}=>{{1},{2},{3},{4},{5,6},{7,8}}
{{1},{2},{3},{4},{5,8},{6},{7}}=>{{1},{2},{3},{4},{5,8},{6},{7}}
{{1},{2},{3},{4},{5,7,8},{6}}=>{{1},{2},{3},{4},{5,7,8},{6}}
{{1},{2},{3},{4},{5,8},{6,7}}=>{{1},{2},{3},{4},{5,7},{6,8}}
{{1},{2},{3},{4},{5,6,8},{7}}=>{{1},{2},{3},{4},{5,6,8},{7}}
{{1},{2},{3},{4},{5,6,7,8}}=>{{1},{2},{3},{4},{5,6,7,8}}
{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}
{{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}
{{1},{2},{3},{4,5},{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},{4,6,7,8},{5}}=>{{1},{2},{3},{4,6,7,8},{5}}
{{1},{2},{3},{4,5,6},{7},{8}}=>{{1},{2},{3},{4,5,6},{7},{8}}
{{1},{2},{3},{4,7,8},{5,6}}=>{{1},{2},{3},{4,6},{5,7,8}}
{{1},{2},{3},{4,5,7},{6},{8}}=>{{1},{2},{3},{4,5,7},{6},{8}}
{{1},{2},{3},{4,8},{5,7},{6}}=>{{1},{2},{3},{4,7},{5,8},{6}}
{{1},{2},{3},{4,5,7,8},{6}}=>{{1},{2},{3},{4,5,7,8},{6}}
{{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2},{3},{4,5,6,7},{8}}
{{1},{2},{3},{4,8},{5,6,7}}=>{{1},{2},{3},{4,6,8},{5,7}}
{{1},{2},{3},{4,5,6,7,8}}=>{{1},{2},{3},{4,5,6,7,8}}
{{1},{2},{3,4},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,6},{7},{8}}
{{1},{2},{3,4},{5,6},{7,8}}=>{{1},{2},{3,4},{5,6},{7,8}}
{{1},{2},{3,4},{5,8},{6,7}}=>{{1},{2},{3,4},{5,7},{6,8}}
{{1},{2},{3,4},{5,6,8},{7}}=>{{1},{2},{3,4},{5,6,8},{7}}
{{1},{2},{3,4},{5,6,7,8}}=>{{1},{2},{3,4},{5,6,7,8}}
{{1},{2},{3,5},{4},{6,7,8}}=>{{1},{2},{3,5},{4},{6,7,8}}
{{1},{2},{3,8},{4},{5},{6},{7}}=>{{1},{2},{3,8},{4},{5},{6},{7}}
{{1},{2},{3,6,8},{4},{5},{7}}=>{{1},{2},{3,6,8},{4},{5},{7}}
{{1},{2},{3,7,8},{4},{5,6}}=>{{1},{2},{3,6},{4},{5,7,8}}
{{1},{2},{3,5,7,8},{4},{6}}=>{{1},{2},{3,5,7,8},{4},{6}}
{{1},{2},{3,8},{4},{5,6,7}}=>{{1},{2},{3,6,8},{4},{5,7}}
{{1},{2},{3,5,8},{4},{6,7}}=>{{1},{2},{3,5,7},{4},{6,8}}
{{1},{2},{3,5,6,7,8},{4}}=>{{1},{2},{3,5,6,7,8},{4}}
{{1},{2},{3,4,5},{6,7,8}}=>{{1},{2},{3,4,5},{6,7,8}}
{{1},{2},{3,6},{4,5},{7,8}}=>{{1},{2},{3,5},{4,6},{7,8}}
{{1},{2},{3,8},{4,5},{6,7}}=>{{1},{2},{3,5},{4,7},{6,8}}
{{1},{2},{3,6,8},{4,5},{7}}=>{{1},{2},{3,5},{4,6,8},{7}}
{{1},{2},{3,6,7,8},{4,5}}=>{{1},{2},{3,5},{4,6,7,8}}
{{1},{2},{3,4,6},{5},{7,8}}=>{{1},{2},{3,4,6},{5},{7,8}}
{{1},{2},{3,7,8},{4,6},{5}}=>{{1},{2},{3,6},{4,7,8},{5}}
{{1},{2},{3,8},{4,6,7},{5}}=>{{1},{2},{3,6,8},{4,7},{5}}
{{1},{2},{3,4,8},{5},{6,7}}=>{{1},{2},{3,4,7},{5},{6,8}}
{{1},{2},{3,4,6,8},{5},{7}}=>{{1},{2},{3,4,6,8},{5},{7}}
{{1},{2},{3,4,6,7,8},{5}}=>{{1},{2},{3,4,6,7,8},{5}}
{{1},{2},{3,4,5,6},{7,8}}=>{{1},{2},{3,4,5,6},{7,8}}
{{1},{2},{3,7,8},{4,5,6}}=>{{1},{2},{3,5,7,8},{4,6}}
{{1},{2},{3,8},{4,7},{5,6}}=>{{1},{2},{3,6},{4,7},{5,8}}
{{1},{2},{3,4,7,8},{5,6}}=>{{1},{2},{3,4,6},{5,7,8}}
{{1},{2},{3,8},{4,5,7},{6}}=>{{1},{2},{3,5,8},{4,7},{6}}
{{1},{2},{3,4,8},{5,7},{6}}=>{{1},{2},{3,4,7},{5,8},{6}}
{{1},{2},{3,4,5,7,8},{6}}=>{{1},{2},{3,4,5,7,8},{6}}
{{1},{2},{3,4,5,6,7},{8}}=>{{1},{2},{3,4,5,6,7},{8}}
{{1},{2},{3,8},{4,5,6,7}}=>{{1},{2},{3,5,7},{4,6,8}}
{{1},{2},{3,4,8},{5,6,7}}=>{{1},{2},{3,4,6,8},{5,7}}
{{1},{2},{3,4,5,8},{6,7}}=>{{1},{2},{3,4,5,7},{6,8}}
{{1},{2},{3,4,5,6,8},{7}}=>{{1},{2},{3,4,5,6,8},{7}}
{{1},{2},{3,4,5,6,7,8}}=>{{1},{2},{3,4,5,6,7,8}}
{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}
{{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}
{{1},{2,3},{4},{5},{6,7,8}}=>{{1},{2,3},{4},{5},{6,7,8}}
{{1},{2,3},{4},{5,8},{6,7}}=>{{1},{2,3},{4},{5,7},{6,8}}
{{1},{2,3},{4},{5,6,7,8}}=>{{1},{2,3},{4},{5,6,7,8}}
{{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}
{{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}
{{1},{2,3},{4,5},{6,8},{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},{5},{8}}=>{{1},{2,3},{4,6,7},{5},{8}}
{{1},{2,3},{4,8},{5},{6,7}}=>{{1},{2,3},{4,7},{5},{6,8}}
{{1},{2,3},{4,6,8},{5},{7}}=>{{1},{2,3},{4,6,8},{5},{7}}
{{1},{2,3},{4,6,7,8},{5}}=>{{1},{2,3},{4,6,7,8},{5}}
{{1},{2,3},{4,5,6},{7},{8}}=>{{1},{2,3},{4,5,6},{7},{8}}
{{1},{2,3},{4,5,6},{7,8}}=>{{1},{2,3},{4,5,6},{7,8}}
{{1},{2,3},{4,7},{5,6},{8}}=>{{1},{2,3},{4,6},{5,7},{8}}
{{1},{2,3},{4,8},{5,6},{7}}=>{{1},{2,3},{4,6},{5,8},{7}}
{{1},{2,3},{4,7,8},{5,6}}=>{{1},{2,3},{4,6},{5,7,8}}
{{1},{2,3},{4,5,7},{6},{8}}=>{{1},{2,3},{4,5,7},{6},{8}}
{{1},{2,3},{4,8},{5,7},{6}}=>{{1},{2,3},{4,7},{5,8},{6}}
{{1},{2,3},{4,5,8},{6},{7}}=>{{1},{2,3},{4,5,8},{6},{7}}
{{1},{2,3},{4,5,7,8},{6}}=>{{1},{2,3},{4,5,7,8},{6}}
{{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3},{4,5,6,7},{8}}
{{1},{2,3},{4,8},{5,6,7}}=>{{1},{2,3},{4,6,8},{5,7}}
{{1},{2,3},{4,5,8},{6,7}}=>{{1},{2,3},{4,5,7},{6,8}}
{{1},{2,3},{4,5,6,8},{7}}=>{{1},{2,3},{4,5,6,8},{7}}
{{1},{2,3},{4,5,6,7,8}}=>{{1},{2,3},{4,5,6,7,8}}
{{1},{2,4},{3},{5},{6},{7,8}}=>{{1},{2,4},{3},{5},{6},{7,8}}
{{1},{2,4},{3},{5},{6,8},{7}}=>{{1},{2,4},{3},{5},{6,8},{7}}
{{1},{2,4},{3},{5},{6,7,8}}=>{{1},{2,4},{3},{5},{6,7,8}}
{{1},{2,4},{3},{5,6},{7,8}}=>{{1},{2,4},{3},{5,6},{7,8}}
{{1},{2,4},{3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,7},{6},{8}}
{{1},{2,4},{3},{5,7,8},{6}}=>{{1},{2,4},{3},{5,7,8},{6}}
{{1},{2,4},{3},{5,8},{6,7}}=>{{1},{2,4},{3},{5,7},{6,8}}
{{1},{2,4},{3},{5,6,8},{7}}=>{{1},{2,4},{3},{5,6,8},{7}}
{{1},{2,4},{3},{5,6,7,8}}=>{{1},{2,4},{3},{5,6,7,8}}
{{1},{2,5},{3},{4},{6,8},{7}}=>{{1},{2,5},{3},{4},{6,8},{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},{2,8},{3},{4},{5,6,7}}=>{{1},{2,6,8},{3},{4},{5,7}}
{{1},{2,5,6,8},{3},{4},{7}}=>{{1},{2,5,6,8},{3},{4},{7}}
{{1},{2,5,6,7,8},{3},{4}}=>{{1},{2,5,6,7,8},{3},{4}}
{{1},{2,4,5},{3},{6,7},{8}}=>{{1},{2,4,5},{3},{6,7},{8}}
{{1},{2,4,5},{3},{6,8},{7}}=>{{1},{2,4,5},{3},{6,8},{7}}
{{1},{2,4,5},{3},{6,7,8}}=>{{1},{2,4,5},{3},{6,7,8}}
{{1},{2,6},{3},{4,5},{7,8}}=>{{1},{2,5},{3},{4,6},{7,8}}
{{1},{2,8},{3},{4,5},{6,7}}=>{{1},{2,5},{3},{4,7},{6,8}}
{{1},{2,6,8},{3},{4,5},{7}}=>{{1},{2,5},{3},{4,6,8},{7}}
{{1},{2,6,7,8},{3},{4,5}}=>{{1},{2,5},{3},{4,6,7,8}}
{{1},{2,4,6},{3},{5},{7,8}}=>{{1},{2,4,6},{3},{5},{7,8}}
{{1},{2,4,6,7},{3},{5},{8}}=>{{1},{2,4,6,7},{3},{5},{8}}
{{1},{2,8},{3},{4,6,7},{5}}=>{{1},{2,6,8},{3},{4,7},{5}}
{{1},{2,4,8},{3},{5},{6,7}}=>{{1},{2,4,7},{3},{5},{6,8}}
{{1},{2,4,6,8},{3},{5},{7}}=>{{1},{2,4,6,8},{3},{5},{7}}
{{1},{2,4,6,7,8},{3},{5}}=>{{1},{2,4,6,7,8},{3},{5}}
{{1},{2,4,5,6},{3},{7},{8}}=>{{1},{2,4,5,6},{3},{7},{8}}
{{1},{2,7,8},{3},{4,5,6}}=>{{1},{2,5,7,8},{3},{4,6}}
{{1},{2,4,7},{3},{5,6},{8}}=>{{1},{2,4,6},{3},{5,7},{8}}
{{1},{2,8},{3},{4,7},{5,6}}=>{{1},{2,6},{3},{4,7},{5,8}}
{{1},{2,4,8},{3},{5,6},{7}}=>{{1},{2,4,6},{3},{5,8},{7}}
{{1},{2,4,7,8},{3},{5,6}}=>{{1},{2,4,6},{3},{5,7,8}}
{{1},{2,4,5,7},{3},{6},{8}}=>{{1},{2,4,5,7},{3},{6},{8}}
{{1},{2,8},{3},{4,5,7},{6}}=>{{1},{2,5,8},{3},{4,7},{6}}
{{1},{2,4,8},{3},{5,7},{6}}=>{{1},{2,4,7},{3},{5,8},{6}}
{{1},{2,4,5,8},{3},{6},{7}}=>{{1},{2,4,5,8},{3},{6},{7}}
{{1},{2,4,5,7,8},{3},{6}}=>{{1},{2,4,5,7,8},{3},{6}}
{{1},{2,4,5,6,7},{3},{8}}=>{{1},{2,4,5,6,7},{3},{8}}
{{1},{2,4,8},{3},{5,6,7}}=>{{1},{2,4,6,8},{3},{5,7}}
{{1},{2,4,5,8},{3},{6,7}}=>{{1},{2,4,5,7},{3},{6,8}}
{{1},{2,4,5,6,8},{3},{7}}=>{{1},{2,4,5,6,8},{3},{7}}
{{1},{2,4,5,6,7,8},{3}}=>{{1},{2,4,5,6,7,8},{3}}
{{1},{2,3,4},{5},{6},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8}}
{{1},{2,3,4},{5},{6,7},{8}}=>{{1},{2,3,4},{5},{6,7},{8}}
{{1},{2,3,4},{5},{6,8},{7}}=>{{1},{2,3,4},{5},{6,8},{7}}
{{1},{2,3,4},{5},{6,7,8}}=>{{1},{2,3,4},{5},{6,7,8}}
{{1},{2,3,4},{5,6},{7,8}}=>{{1},{2,3,4},{5,6},{7,8}}
{{1},{2,3,4},{5,7},{6},{8}}=>{{1},{2,3,4},{5,7},{6},{8}}
{{1},{2,3,4},{5,7,8},{6}}=>{{1},{2,3,4},{5,7,8},{6}}
{{1},{2,3,4},{5,6,7},{8}}=>{{1},{2,3,4},{5,6,7},{8}}
{{1},{2,3,4},{5,8},{6,7}}=>{{1},{2,3,4},{5,7},{6,8}}
{{1},{2,3,4},{5,6,8},{7}}=>{{1},{2,3,4},{5,6,8},{7}}
{{1},{2,3,4},{5,6,7,8}}=>{{1},{2,3,4},{5,6,7,8}}
{{1},{2,5},{3,4},{6,7},{8}}=>{{1},{2,4},{3,5},{6,7},{8}}
{{1},{2,5},{3,4},{6,8},{7}}=>{{1},{2,4},{3,5},{6,8},{7}}
{{1},{2,5},{3,4},{6,7,8}}=>{{1},{2,4},{3,5},{6,7,8}}
{{1},{2,6,7},{3,4},{5},{8}}=>{{1},{2,4},{3,6,7},{5},{8}}
{{1},{2,8},{3,4},{5},{6,7}}=>{{1},{2,4},{3,7},{5},{6,8}}
{{1},{2,6,8},{3,4},{5},{7}}=>{{1},{2,4},{3,6,8},{5},{7}}
{{1},{2,6,7,8},{3,4},{5}}=>{{1},{2,4},{3,6,7,8},{5}}
{{1},{2,7},{3,4},{5,6},{8}}=>{{1},{2,4},{3,6},{5,7},{8}}
{{1},{2,8},{3,4},{5,6},{7}}=>{{1},{2,4},{3,6},{5,8},{7}}
{{1},{2,7,8},{3,4},{5,6}}=>{{1},{2,4},{3,6},{5,7,8}}
{{1},{2,5,7},{3,4},{6},{8}}=>{{1},{2,4},{3,5,7},{6},{8}}
{{1},{2,8},{3,4},{5,7},{6}}=>{{1},{2,4},{3,7},{5,8},{6}}
{{1},{2,5,7,8},{3,4},{6}}=>{{1},{2,4},{3,5,7,8},{6}}
{{1},{2,8},{3,4},{5,6,7}}=>{{1},{2,4},{3,6,8},{5,7}}
{{1},{2,5,8},{3,4},{6,7}}=>{{1},{2,4},{3,5,7},{6,8}}
{{1},{2,5,6,8},{3,4},{7}}=>{{1},{2,4},{3,5,6,8},{7}}
{{1},{2,5,6,7,8},{3,4}}=>{{1},{2,4},{3,5,6,7,8}}
{{1},{2,3,5},{4},{6},{7},{8}}=>{{1},{2,3,5},{4},{6},{7},{8}}
{{1},{2,3,5},{4},{6,7},{8}}=>{{1},{2,3,5},{4},{6,7},{8}}
{{1},{2,3,5},{4},{6,8},{7}}=>{{1},{2,3,5},{4},{6,8},{7}}
{{1},{2,3,5},{4},{6,7,8}}=>{{1},{2,3,5},{4},{6,7,8}}
{{1},{2,6},{3,5},{4},{7,8}}=>{{1},{2,5},{3,6},{4},{7,8}}
{{1},{2,6,7},{3,5},{4},{8}}=>{{1},{2,5},{3,6,7},{4},{8}}
{{1},{2,8},{3,5},{4},{6,7}}=>{{1},{2,5},{3,7},{4},{6,8}}
{{1},{2,6,8},{3,5},{4},{7}}=>{{1},{2,5},{3,6,8},{4},{7}}
{{1},{2,6,7,8},{3,5},{4}}=>{{1},{2,5},{3,6,7,8},{4}}
{{1},{2,3,7,8},{4},{5},{6}}=>{{1},{2,3,7,8},{4},{5},{6}}
{{1},{2,3,6,7},{4},{5},{8}}=>{{1},{2,3,6,7},{4},{5},{8}}
{{1},{2,3,6,8},{4},{5},{7}}=>{{1},{2,3,6,8},{4},{5},{7}}
{{1},{2,3,6,7,8},{4},{5}}=>{{1},{2,3,6,7,8},{4},{5}}
{{1},{2,3,5,6},{4},{7},{8}}=>{{1},{2,3,5,6},{4},{7},{8}}
{{1},{2,7},{3,5,6},{4},{8}}=>{{1},{2,5,7},{3,6},{4},{8}}
{{1},{2,8},{3,5,6},{4},{7}}=>{{1},{2,5,8},{3,6},{4},{7}}
{{1},{2,7,8},{3,5,6},{4}}=>{{1},{2,5,7,8},{3,6},{4}}
{{1},{2,3,7},{4},{5,6},{8}}=>{{1},{2,3,6},{4},{5,7},{8}}
{{1},{2,8},{3,7},{4},{5,6}}=>{{1},{2,6},{3,7},{4},{5,8}}
{{1},{2,3,5,7},{4},{6},{8}}=>{{1},{2,3,5,7},{4},{6},{8}}
{{1},{2,8},{3,5,7},{4},{6}}=>{{1},{2,5,8},{3,7},{4},{6}}
{{1},{2,3,5,8},{4},{6},{7}}=>{{1},{2,3,5,8},{4},{6},{7}}
{{1},{2,3,5,7,8},{4},{6}}=>{{1},{2,3,5,7,8},{4},{6}}
{{1},{2,3,5,6,7},{4},{8}}=>{{1},{2,3,5,6,7},{4},{8}}
{{1},{2,8},{3,5,6,7},{4}}=>{{1},{2,5,7},{3,6,8},{4}}
{{1},{2,3,8},{4},{5,6,7}}=>{{1},{2,3,6,8},{4},{5,7}}
{{1},{2,3,5,8},{4},{6,7}}=>{{1},{2,3,5,7},{4},{6,8}}
{{1},{2,3,5,6,8},{4},{7}}=>{{1},{2,3,5,6,8},{4},{7}}
{{1},{2,3,5,6,7,8},{4}}=>{{1},{2,3,5,6,7,8},{4}}
{{1},{2,3,4,5},{6},{7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}
{{1},{2,3,4,5},{6},{7,8}}=>{{1},{2,3,4,5},{6},{7,8}}
{{1},{2,3,4,5},{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},{2,6},{3,4,5},{7},{8}}=>{{1},{2,4,6},{3,5},{7},{8}}
{{1},{2,7},{3,4,5},{6},{8}}=>{{1},{2,4,7},{3,5},{6},{8}}
{{1},{2,8},{3,4,5},{6},{7}}=>{{1},{2,4,8},{3,5},{6},{7}}
{{1},{2,8},{3,4,5},{6,7}}=>{{1},{2,4,7},{3,5},{6,8}}
{{1},{2,6,8},{3,4,5},{7}}=>{{1},{2,4,6,8},{3,5},{7}}
{{1},{2,6,7,8},{3,4,5}}=>{{1},{2,4,6,7,8},{3,5}}
{{1},{2,3,6},{4,5},{7},{8}}=>{{1},{2,3,5},{4,6},{7},{8}}
{{1},{2,3,6},{4,5},{7,8}}=>{{1},{2,3,5},{4,6},{7,8}}
{{1},{2,7},{3,6},{4,5},{8}}=>{{1},{2,5},{3,6},{4,7},{8}}
{{1},{2,8},{3,6},{4,5},{7}}=>{{1},{2,5},{3,6},{4,8},{7}}
{{1},{2,7,8},{3,6},{4,5}}=>{{1},{2,5},{3,6},{4,7,8}}
{{1},{2,3,7},{4,5},{6},{8}}=>{{1},{2,3,5},{4,7},{6},{8}}
{{1},{2,8},{3,7},{4,5},{6}}=>{{1},{2,5},{3,7},{4,8},{6}}
{{1},{2,3,8},{4,5},{6},{7}}=>{{1},{2,3,5},{4,8},{6},{7}}
{{1},{2,3,6,7},{4,5},{8}}=>{{1},{2,3,5},{4,6,7},{8}}
{{1},{2,8},{3,6,7},{4,5}}=>{{1},{2,5},{3,6,8},{4,7}}
{{1},{2,3,8},{4,5},{6,7}}=>{{1},{2,3,5},{4,7},{6,8}}
{{1},{2,3,6,8},{4,5},{7}}=>{{1},{2,3,5},{4,6,8},{7}}
{{1},{2,3,4,6},{5},{7},{8}}=>{{1},{2,3,4,6},{5},{7},{8}}
{{1},{2,3,4,6},{5},{7,8}}=>{{1},{2,3,4,6},{5},{7,8}}
{{1},{2,7},{3,4,6},{5},{8}}=>{{1},{2,4,7},{3,6},{5},{8}}
{{1},{2,8},{3,4,6},{5},{7}}=>{{1},{2,4,8},{3,6},{5},{7}}
{{1},{2,7,8},{3,4,6},{5}}=>{{1},{2,4,7,8},{3,6},{5}}
{{1},{2,3,7},{4,6},{5},{8}}=>{{1},{2,3,6},{4,7},{5},{8}}
{{1},{2,8},{3,7},{4,6},{5}}=>{{1},{2,6},{3,7},{4,8},{5}}
{{1},{2,3,8},{4,6},{5},{7}}=>{{1},{2,3,6},{4,8},{5},{7}}
{{1},{2,3,7,8},{4,6},{5}}=>{{1},{2,3,6},{4,7,8},{5}}
{{1},{2,3,4,7,8},{5},{6}}=>{{1},{2,3,4,7,8},{5},{6}}
{{1},{2,8},{3,4,6,7},{5}}=>{{1},{2,4,7},{3,6,8},{5}}
{{1},{2,3,8},{4,6,7},{5}}=>{{1},{2,3,6,8},{4,7},{5}}
{{1},{2,3,4,6,8},{5},{7}}=>{{1},{2,3,4,6,8},{5},{7}}
{{1},{2,3,4,6,7,8},{5}}=>{{1},{2,3,4,6,7,8},{5}}
{{1},{2,3,4,5,6},{7},{8}}=>{{1},{2,3,4,5,6},{7},{8}}
{{1},{2,8},{3,4,5,6},{7}}=>{{1},{2,4,6},{3,5,8},{7}}
{{1},{2,3,7},{4,5,6},{8}}=>{{1},{2,3,5,7},{4,6},{8}}
{{1},{2,8},{3,7},{4,5,6}}=>{{1},{2,5,8},{3,6},{4,7}}
{{1},{2,3,8},{4,5,6},{7}}=>{{1},{2,3,5,8},{4,6},{7}}
{{1},{2,8},{3,4,7},{5,6}}=>{{1},{2,4,7},{3,6},{5,8}}
{{1},{2,3,8},{4,7},{5,6}}=>{{1},{2,3,6},{4,7},{5,8}}
{{1},{2,3,4,8},{5,6},{7}}=>{{1},{2,3,4,6},{5,8},{7}}
{{1},{2,3,4,5,7},{6},{8}}=>{{1},{2,3,4,5,7},{6},{8}}
{{1},{2,8},{3,4,5,7},{6}}=>{{1},{2,4,7},{3,5,8},{6}}
{{1},{2,3,8},{4,5,7},{6}}=>{{1},{2,3,5,8},{4,7},{6}}
{{1},{2,3,4,8},{5,7},{6}}=>{{1},{2,3,4,7},{5,8},{6}}
{{1},{2,3,4,5,8},{6},{7}}=>{{1},{2,3,4,5,8},{6},{7}}
{{1},{2,3,4,5,7,8},{6}}=>{{1},{2,3,4,5,7,8},{6}}
{{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}
{{1},{2,8},{3,4,5,6,7}}=>{{1},{2,4,6,8},{3,5,7}}
{{1},{2,3,4,5,6,8},{7}}=>{{1},{2,3,4,5,6,8},{7}}
{{1},{2,3,4,5,6,7,8}}=>{{1},{2,3,4,5,6,7,8}}
{{1,2},{3},{4},{5},{6},{7},{8}}=>{{1,2},{3},{4},{5},{6},{7},{8}}
{{1,2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7,8}}
{{1,2},{3},{4},{5,8},{6,7}}=>{{1,2},{3},{4},{5,7},{6,8}}
{{1,2},{3},{4},{5,6,7,8}}=>{{1,2},{3},{4},{5,6,7,8}}
{{1,2},{3},{4,5},{6,7,8}}=>{{1,2},{3},{4,5},{6,7,8}}
{{1,2},{3},{4,6,8},{5},{7}}=>{{1,2},{3},{4,6,8},{5},{7}}
{{1,2},{3},{4,6,7,8},{5}}=>{{1,2},{3},{4,6,7,8},{5}}
{{1,2},{3},{4,5,6},{7,8}}=>{{1,2},{3},{4,5,6},{7,8}}
{{1,2},{3},{4,8},{5,6},{7}}=>{{1,2},{3},{4,6},{5,8},{7}}
{{1,2},{3},{4,8},{5,7},{6}}=>{{1,2},{3},{4,7},{5,8},{6}}
{{1,2},{3},{4,5,6,7},{8}}=>{{1,2},{3},{4,5,6,7},{8}}
{{1,2},{3},{4,8},{5,6,7}}=>{{1,2},{3},{4,6,8},{5,7}}
{{1,2},{3},{4,5,8},{6,7}}=>{{1,2},{3},{4,5,7},{6,8}}
{{1,2},{3},{4,5,6,8},{7}}=>{{1,2},{3},{4,5,6,8},{7}}
{{1,2},{3},{4,5,6,7,8}}=>{{1,2},{3},{4,5,6,7,8}}
{{1,2},{3,4},{5},{6},{7},{8}}=>{{1,2},{3,4},{5},{6},{7},{8}}
{{1,2},{3,4},{5},{6,7,8}}=>{{1,2},{3,4},{5},{6,7,8}}
{{1,2},{3,4},{5,6},{7},{8}}=>{{1,2},{3,4},{5,6},{7},{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}}
{{1,2},{3,4},{5,7,8},{6}}=>{{1,2},{3,4},{5,7,8},{6}}
{{1,2},{3,4},{5,6,7},{8}}=>{{1,2},{3,4},{5,6,7},{8}}
{{1,2},{3,4},{5,6,8},{7}}=>{{1,2},{3,4},{5,6,8},{7}}
{{1,2},{3,4},{5,6,7,8}}=>{{1,2},{3,4},{5,6,7,8}}
{{1,2},{3,5},{4},{6},{7,8}}=>{{1,2},{3,5},{4},{6},{7,8}}
{{1,2},{3,5},{4},{6,8},{7}}=>{{1,2},{3,5},{4},{6,8},{7}}
{{1,2},{3,5},{4},{6,7,8}}=>{{1,2},{3,5},{4},{6,7,8}}
{{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}
{{1,2},{3,8},{4},{5},{6,7}}=>{{1,2},{3,7},{4},{5},{6,8}}
{{1,2},{3,6,8},{4},{5},{7}}=>{{1,2},{3,6,8},{4},{5},{7}}
{{1,2},{3,6,7,8},{4},{5}}=>{{1,2},{3,6,7,8},{4},{5}}
{{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}}
{{1,2},{3,7,8},{4},{5,6}}=>{{1,2},{3,6},{4},{5,7,8}}
{{1,2},{3,5,7},{4},{6},{8}}=>{{1,2},{3,5,7},{4},{6},{8}}
{{1,2},{3,5,8},{4},{6},{7}}=>{{1,2},{3,5,8},{4},{6},{7}}
{{1,2},{3,5,7,8},{4},{6}}=>{{1,2},{3,5,7,8},{4},{6}}
{{1,2},{3,5,6,7},{4},{8}}=>{{1,2},{3,5,6,7},{4},{8}}
{{1,2},{3,8},{4},{5,6,7}}=>{{1,2},{3,6,8},{4},{5,7}}
{{1,2},{3,5,8},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6,8}}
{{1,2},{3,5,6,8},{4},{7}}=>{{1,2},{3,5,6,8},{4},{7}}
{{1,2},{3,5,6,7,8},{4}}=>{{1,2},{3,5,6,7,8},{4}}
{{1,2},{3,4,5},{6},{7,8}}=>{{1,2},{3,4,5},{6},{7,8}}
{{1,2},{3,4,5},{6,8},{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},{3,7},{4,5},{6},{8}}=>{{1,2},{3,5},{4,7},{6},{8}}
{{1,2},{3,7,8},{4,5},{6}}=>{{1,2},{3,5},{4,7,8},{6}}
{{1,2},{3,6,7},{4,5},{8}}=>{{1,2},{3,5},{4,6,7},{8}}
{{1,2},{3,6,8},{4,5},{7}}=>{{1,2},{3,5},{4,6,8},{7}}
{{1,2},{3,6,7,8},{4,5}}=>{{1,2},{3,5},{4,6,7,8}}
{{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}}
{{1,2},{3,7},{4,6},{5},{8}}=>{{1,2},{3,6},{4,7},{5},{8}}
{{1,2},{3,7,8},{4,6},{5}}=>{{1,2},{3,6},{4,7,8},{5}}
{{1,2},{3,4,7,8},{5},{6}}=>{{1,2},{3,4,7,8},{5},{6}}
{{1,2},{3,8},{4,6,7},{5}}=>{{1,2},{3,6,8},{4,7},{5}}
{{1,2},{3,4,8},{5},{6,7}}=>{{1,2},{3,4,7},{5},{6,8}}
{{1,2},{3,4,6,8},{5},{7}}=>{{1,2},{3,4,6,8},{5},{7}}
{{1,2},{3,4,6,7,8},{5}}=>{{1,2},{3,4,6,7,8},{5}}
{{1,2},{3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6},{7,8}}
{{1,2},{3,8},{4,5,6},{7}}=>{{1,2},{3,5,8},{4,6},{7}}
{{1,2},{3,4,7},{5,6},{8}}=>{{1,2},{3,4,6},{5,7},{8}}
{{1,2},{3,4,8},{5,6},{7}}=>{{1,2},{3,4,6},{5,8},{7}}
{{1,2},{3,4,7,8},{5,6}}=>{{1,2},{3,4,6},{5,7,8}}
{{1,2},{3,4,5,7},{6},{8}}=>{{1,2},{3,4,5,7},{6},{8}}
{{1,2},{3,8},{4,5,7},{6}}=>{{1,2},{3,5,8},{4,7},{6}}
{{1,2},{3,4,8},{5,7},{6}}=>{{1,2},{3,4,7},{5,8},{6}}
{{1,2},{3,4,5,8},{6},{7}}=>{{1,2},{3,4,5,8},{6},{7}}
{{1,2},{3,4,5,7,8},{6}}=>{{1,2},{3,4,5,7,8},{6}}
{{1,2},{3,8},{4,5,6,7}}=>{{1,2},{3,5,7},{4,6,8}}
{{1,2},{3,4,8},{5,6,7}}=>{{1,2},{3,4,6,8},{5,7}}
{{1,2},{3,4,5,8},{6,7}}=>{{1,2},{3,4,5,7},{6,8}}
{{1,2},{3,4,5,6,8},{7}}=>{{1,2},{3,4,5,6,8},{7}}
{{1,2},{3,4,5,6,7,8}}=>{{1,2},{3,4,5,6,7,8}}
{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}
{{1,3},{2},{4},{5},{6},{7,8}}=>{{1,3},{2},{4},{5},{6},{7,8}}
{{1,3},{2},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6,8},{7}}
{{1,3},{2},{4},{5},{6,7,8}}=>{{1,3},{2},{4},{5},{6,7,8}}
{{1,3},{2},{4},{5,6},{7,8}}=>{{1,3},{2},{4},{5,6},{7,8}}
{{1,3},{2},{4},{5,7},{6},{8}}=>{{1,3},{2},{4},{5,7},{6},{8}}
{{1,3},{2},{4},{5,7,8},{6}}=>{{1,3},{2},{4},{5,7,8},{6}}
{{1,3},{2},{4},{5,8},{6,7}}=>{{1,3},{2},{4},{5,7},{6,8}}
{{1,3},{2},{4},{5,6,8},{7}}=>{{1,3},{2},{4},{5,6,8},{7}}
{{1,3},{2},{4},{5,6,7,8}}=>{{1,3},{2},{4},{5,6,7,8}}
{{1,3},{2},{4,5},{6},{7,8}}=>{{1,3},{2},{4,5},{6},{7,8}}
{{1,3},{2},{4,5},{6,7},{8}}=>{{1,3},{2},{4,5},{6,7},{8}}
{{1,3},{2},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6,8},{7}}
{{1,3},{2},{4,5},{6,7,8}}=>{{1,3},{2},{4,5},{6,7,8}}
{{1,3},{2},{4,6},{5},{7,8}}=>{{1,3},{2},{4,6},{5},{7,8}}
{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,3},{2},{4,7},{5},{6},{8}}
{{1,3},{2},{4,6,7},{5},{8}}=>{{1,3},{2},{4,6,7},{5},{8}}
{{1,3},{2},{4,8},{5},{6,7}}=>{{1,3},{2},{4,7},{5},{6,8}}
{{1,3},{2},{4,6,8},{5},{7}}=>{{1,3},{2},{4,6,8},{5},{7}}
{{1,3},{2},{4,6,7,8},{5}}=>{{1,3},{2},{4,6,7,8},{5}}
{{1,3},{2},{4,5,6},{7},{8}}=>{{1,3},{2},{4,5,6},{7},{8}}
{{1,3},{2},{4,5,6},{7,8}}=>{{1,3},{2},{4,5,6},{7,8}}
{{1,3},{2},{4,7},{5,6},{8}}=>{{1,3},{2},{4,6},{5,7},{8}}
{{1,3},{2},{4,8},{5,6},{7}}=>{{1,3},{2},{4,6},{5,8},{7}}
{{1,3},{2},{4,7,8},{5,6}}=>{{1,3},{2},{4,6},{5,7,8}}
{{1,3},{2},{4,5,7},{6},{8}}=>{{1,3},{2},{4,5,7},{6},{8}}
{{1,3},{2},{4,8},{5,7},{6}}=>{{1,3},{2},{4,7},{5,8},{6}}
{{1,3},{2},{4,5,7,8},{6}}=>{{1,3},{2},{4,5,7,8},{6}}
{{1,3},{2},{4,5,6,7},{8}}=>{{1,3},{2},{4,5,6,7},{8}}
{{1,3},{2},{4,8},{5,6,7}}=>{{1,3},{2},{4,6,8},{5,7}}
{{1,3},{2},{4,5,8},{6,7}}=>{{1,3},{2},{4,5,7},{6,8}}
{{1,3},{2},{4,5,6,8},{7}}=>{{1,3},{2},{4,5,6,8},{7}}
{{1,3},{2},{4,5,6,7,8}}=>{{1,3},{2},{4,5,6,7,8}}
{{1,4},{2},{3},{5},{6},{7},{8}}=>{{1,4},{2},{3},{5},{6},{7},{8}}
{{1,4},{2},{3},{5},{6,8},{7}}=>{{1,4},{2},{3},{5},{6,8},{7}}
{{1,4},{2},{3},{5,6},{7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}
{{1,4},{2},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6},{7}}
{{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2},{3},{5,7},{6,8}}
{{1,4},{2},{3},{5,6,8},{7}}=>{{1,4},{2},{3},{5,6,8},{7}}
{{1,4},{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}}
{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,6},{2},{3},{4},{5},{7,8}}
{{1,7},{2},{3},{4},{5},{6},{8}}=>{{1,7},{2},{3},{4},{5},{6},{8}}
{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}
{{1,7,8},{2},{3},{4},{5},{6}}=>{{1,7,8},{2},{3},{4},{5},{6}}
{{1,8},{2},{3},{4},{5},{6,7}}=>{{1,7},{2},{3},{4},{5},{6,8}}
{{1,6,7,8},{2},{3},{4},{5}}=>{{1,6,7,8},{2},{3},{4},{5}}
{{1,7},{2},{3},{4},{5,6},{8}}=>{{1,6},{2},{3},{4},{5,7},{8}}
{{1,5,7},{2},{3},{4},{6},{8}}=>{{1,5,7},{2},{3},{4},{6},{8}}
{{1,8},{2},{3},{4},{5,7},{6}}=>{{1,7},{2},{3},{4},{5,8},{6}}
{{1,5,8},{2},{3},{4},{6},{7}}=>{{1,5,8},{2},{3},{4},{6},{7}}
{{1,8},{2},{3},{4},{5,6,7}}=>{{1,6,8},{2},{3},{4},{5,7}}
{{1,5,6,7,8},{2},{3},{4}}=>{{1,5,6,7,8},{2},{3},{4}}
{{1,4,5},{2},{3},{6,8},{7}}=>{{1,4,5},{2},{3},{6,8},{7}}
{{1,4,5},{2},{3},{6,7,8}}=>{{1,4,5},{2},{3},{6,7,8}}
{{1,6},{2},{3},{4,5},{7},{8}}=>{{1,5},{2},{3},{4,6},{7},{8}}
{{1,6,7},{2},{3},{4,5},{8}}=>{{1,5},{2},{3},{4,6,7},{8}}
{{1,6,7,8},{2},{3},{4,5}}=>{{1,5},{2},{3},{4,6,7,8}}
{{1,4,6},{2},{3},{5},{7,8}}=>{{1,4,6},{2},{3},{5},{7,8}}
{{1,7},{2},{3},{4,6},{5},{8}}=>{{1,6},{2},{3},{4,7},{5},{8}}
{{1,4,6,8},{2},{3},{5},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}
{{1,4,6,7,8},{2},{3},{5}}=>{{1,4,6,7,8},{2},{3},{5}}
{{1,4,5,6},{2},{3},{7,8}}=>{{1,4,5,6},{2},{3},{7,8}}
{{1,7},{2},{3},{4,5,6},{8}}=>{{1,5,7},{2},{3},{4,6},{8}}
{{1,4,8},{2},{3},{5,6},{7}}=>{{1,4,6},{2},{3},{5,8},{7}}
{{1,4,7,8},{2},{3},{5,6}}=>{{1,4,6},{2},{3},{5,7,8}}
{{1,4,5,8},{2},{3},{6},{7}}=>{{1,4,5,8},{2},{3},{6},{7}}
{{1,4,5,7,8},{2},{3},{6}}=>{{1,4,5,7,8},{2},{3},{6}}
{{1,4,5,6,7},{2},{3},{8}}=>{{1,4,5,6,7},{2},{3},{8}}
{{1,4,8},{2},{3},{5,6,7}}=>{{1,4,6,8},{2},{3},{5,7}}
{{1,4,5,8},{2},{3},{6,7}}=>{{1,4,5,7},{2},{3},{6,8}}
{{1,4,5,6,8},{2},{3},{7}}=>{{1,4,5,6,8},{2},{3},{7}}
{{1,4,5,6,7,8},{2},{3}}=>{{1,4,5,6,7,8},{2},{3}}
{{1,3,4},{2},{5},{6},{7},{8}}=>{{1,3,4},{2},{5},{6},{7},{8}}
{{1,3,4},{2},{5},{6},{7,8}}=>{{1,3,4},{2},{5},{6},{7,8}}
{{1,3,4},{2},{5},{6,8},{7}}=>{{1,3,4},{2},{5},{6,8},{7}}
{{1,3,4},{2},{5},{6,7,8}}=>{{1,3,4},{2},{5},{6,7,8}}
{{1,3,4},{2},{5,6},{7,8}}=>{{1,3,4},{2},{5,6},{7,8}}
{{1,3,4},{2},{5,7,8},{6}}=>{{1,3,4},{2},{5,7,8},{6}}
{{1,3,4},{2},{5,6,7},{8}}=>{{1,3,4},{2},{5,6,7},{8}}
{{1,3,4},{2},{5,8},{6,7}}=>{{1,3,4},{2},{5,7},{6,8}}
{{1,3,4},{2},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,8},{7}}
{{1,3,4},{2},{5,6,7,8}}=>{{1,3,4},{2},{5,6,7,8}}
{{1,5},{2},{3,4},{6},{7},{8}}=>{{1,4},{2},{3,5},{6},{7},{8}}
{{1,5},{2},{3,4},{6},{7,8}}=>{{1,4},{2},{3,5},{6},{7,8}}
{{1,5},{2},{3,4},{6,7},{8}}=>{{1,4},{2},{3,5},{6,7},{8}}
{{1,5},{2},{3,4},{6,8},{7}}=>{{1,4},{2},{3,5},{6,8},{7}}
{{1,5},{2},{3,4},{6,7,8}}=>{{1,4},{2},{3,5},{6,7,8}}
{{1,6,7,8},{2},{3,4},{5}}=>{{1,4},{2},{3,6,7,8},{5}}
{{1,5,6},{2},{3,4},{7,8}}=>{{1,4},{2},{3,5,6},{7,8}}
{{1,7},{2},{3,4},{5,6},{8}}=>{{1,4},{2},{3,6},{5,7},{8}}
{{1,7,8},{2},{3,4},{5,6}}=>{{1,4},{2},{3,6},{5,7,8}}
{{1,5,7},{2},{3,4},{6},{8}}=>{{1,4},{2},{3,5,7},{6},{8}}
{{1,5,8},{2},{3,4},{6},{7}}=>{{1,4},{2},{3,5,8},{6},{7}}
{{1,5,7,8},{2},{3,4},{6}}=>{{1,4},{2},{3,5,7,8},{6}}
{{1,5,6,7},{2},{3,4},{8}}=>{{1,4},{2},{3,5,6,7},{8}}
{{1,8},{2},{3,4},{5,6,7}}=>{{1,4},{2},{3,6,8},{5,7}}
{{1,5,8},{2},{3,4},{6,7}}=>{{1,4},{2},{3,5,7},{6,8}}
{{1,5,6,8},{2},{3,4},{7}}=>{{1,4},{2},{3,5,6,8},{7}}
{{1,3,5},{2},{4},{6},{7},{8}}=>{{1,3,5},{2},{4},{6},{7},{8}}
{{1,3,5},{2},{4},{6},{7,8}}=>{{1,3,5},{2},{4},{6},{7,8}}
{{1,3,5},{2},{4},{6,7},{8}}=>{{1,3,5},{2},{4},{6,7},{8}}
{{1,3,5},{2},{4},{6,8},{7}}=>{{1,3,5},{2},{4},{6,8},{7}}
{{1,3,5},{2},{4},{6,7,8}}=>{{1,3,5},{2},{4},{6,7,8}}
{{1,6},{2},{3,5},{4},{7},{8}}=>{{1,5},{2},{3,6},{4},{7},{8}}
{{1,6},{2},{3,5},{4},{7,8}}=>{{1,5},{2},{3,6},{4},{7,8}}
{{1,6,8},{2},{3,5},{4},{7}}=>{{1,5},{2},{3,6,8},{4},{7}}
{{1,6,7,8},{2},{3,5},{4}}=>{{1,5},{2},{3,6,7,8},{4}}
{{1,3,7},{2},{4},{5},{6},{8}}=>{{1,3,7},{2},{4},{5},{6},{8}}
{{1,3,6,7},{2},{4},{5},{8}}=>{{1,3,6,7},{2},{4},{5},{8}}
{{1,3,8},{2},{4},{5},{6,7}}=>{{1,3,7},{2},{4},{5},{6,8}}
{{1,3,6,7,8},{2},{4},{5}}=>{{1,3,6,7,8},{2},{4},{5}}
{{1,3,5,6},{2},{4},{7,8}}=>{{1,3,5,6},{2},{4},{7,8}}
{{1,7},{2},{3,5,6},{4},{8}}=>{{1,5,7},{2},{3,6},{4},{8}}
{{1,7,8},{2},{3,5,6},{4}}=>{{1,5,7,8},{2},{3,6},{4}}
{{1,3,7},{2},{4},{5,6},{8}}=>{{1,3,6},{2},{4},{5,7},{8}}
{{1,8},{2},{3,7},{4},{5,6}}=>{{1,6},{2},{3,7},{4},{5,8}}
{{1,3,7,8},{2},{4},{5,6}}=>{{1,3,6},{2},{4},{5,7,8}}
{{1,3,5,7},{2},{4},{6},{8}}=>{{1,3,5,7},{2},{4},{6},{8}}
{{1,3,5,7,8},{2},{4},{6}}=>{{1,3,5,7,8},{2},{4},{6}}
{{1,3,5,6,7},{2},{4},{8}}=>{{1,3,5,6,7},{2},{4},{8}}
{{1,8},{2},{3,5,6,7},{4}}=>{{1,5,7},{2},{3,6,8},{4}}
{{1,3,8},{2},{4},{5,6,7}}=>{{1,3,6,8},{2},{4},{5,7}}
{{1,3,5,8},{2},{4},{6,7}}=>{{1,3,5,7},{2},{4},{6,8}}
{{1,3,5,6,8},{2},{4},{7}}=>{{1,3,5,6,8},{2},{4},{7}}
{{1,3,5,6,7,8},{2},{4}}=>{{1,3,5,6,7,8},{2},{4}}
{{1,3,4,5},{2},{6},{7,8}}=>{{1,3,4,5},{2},{6},{7,8}}
{{1,3,4,5},{2},{6,7},{8}}=>{{1,3,4,5},{2},{6,7},{8}}
{{1,3,4,5},{2},{6,8},{7}}=>{{1,3,4,5},{2},{6,8},{7}}
{{1,3,4,5},{2},{6,7,8}}=>{{1,3,4,5},{2},{6,7,8}}
{{1,6},{2},{3,4,5},{7},{8}}=>{{1,4,6},{2},{3,5},{7},{8}}
{{1,6},{2},{3,4,5},{7,8}}=>{{1,4,6},{2},{3,5},{7,8}}
{{1,8},{2},{3,4,5},{6},{7}}=>{{1,4,8},{2},{3,5},{6},{7}}
{{1,7,8},{2},{3,4,5},{6}}=>{{1,4,7,8},{2},{3,5},{6}}
{{1,6,7},{2},{3,4,5},{8}}=>{{1,4,6,7},{2},{3,5},{8}}
{{1,8},{2},{3,4,5},{6,7}}=>{{1,4,7},{2},{3,5},{6,8}}
{{1,6,8},{2},{3,4,5},{7}}=>{{1,4,6,8},{2},{3,5},{7}}
{{1,3,6},{2},{4,5},{7,8}}=>{{1,3,5},{2},{4,6},{7,8}}
{{1,7},{2},{3,6},{4,5},{8}}=>{{1,5},{2},{3,6},{4,7},{8}}
{{1,7,8},{2},{3,6},{4,5}}=>{{1,5},{2},{3,6},{4,7,8}}
{{1,3,7},{2},{4,5},{6},{8}}=>{{1,3,5},{2},{4,7},{6},{8}}
{{1,3,7,8},{2},{4,5},{6}}=>{{1,3,5},{2},{4,7,8},{6}}
{{1,3,6,7},{2},{4,5},{8}}=>{{1,3,5},{2},{4,6,7},{8}}
{{1,8},{2},{3,6,7},{4,5}}=>{{1,5},{2},{3,6,8},{4,7}}
{{1,3,8},{2},{4,5},{6,7}}=>{{1,3,5},{2},{4,7},{6,8}}
{{1,3,6,8},{2},{4,5},{7}}=>{{1,3,5},{2},{4,6,8},{7}}
{{1,3,4,6},{2},{5},{7},{8}}=>{{1,3,4,6},{2},{5},{7},{8}}
{{1,3,4,6},{2},{5},{7,8}}=>{{1,3,4,6},{2},{5},{7,8}}
{{1,7},{2},{3,4,6},{5},{8}}=>{{1,4,7},{2},{3,6},{5},{8}}
{{1,7,8},{2},{3,4,6},{5}}=>{{1,4,7,8},{2},{3,6},{5}}
{{1,3,7},{2},{4,6},{5},{8}}=>{{1,3,6},{2},{4,7},{5},{8}}
{{1,3,7,8},{2},{4,6},{5}}=>{{1,3,6},{2},{4,7,8},{5}}
{{1,3,4,7},{2},{5},{6},{8}}=>{{1,3,4,7},{2},{5},{6},{8}}
{{1,3,4,7,8},{2},{5},{6}}=>{{1,3,4,7,8},{2},{5},{6}}
{{1,3,4,6,7},{2},{5},{8}}=>{{1,3,4,6,7},{2},{5},{8}}
{{1,8},{2},{3,4,6,7},{5}}=>{{1,4,7},{2},{3,6,8},{5}}
{{1,3,8},{2},{4,6,7},{5}}=>{{1,3,6,8},{2},{4,7},{5}}
{{1,3,4,6,8},{2},{5},{7}}=>{{1,3,4,6,8},{2},{5},{7}}
{{1,3,4,6,7,8},{2},{5}}=>{{1,3,4,6,7,8},{2},{5}}
{{1,3,4,5,6},{2},{7},{8}}=>{{1,3,4,5,6},{2},{7},{8}}
{{1,3,4,5,6},{2},{7,8}}=>{{1,3,4,5,6},{2},{7,8}}
{{1,8},{2},{3,4,5,6},{7}}=>{{1,4,6},{2},{3,5,8},{7}}
{{1,7,8},{2},{3,4,5,6}}=>{{1,4,6},{2},{3,5,7,8}}
{{1,3,7},{2},{4,5,6},{8}}=>{{1,3,5,7},{2},{4,6},{8}}
{{1,8},{2},{3,7},{4,5,6}}=>{{1,5,8},{2},{3,6},{4,7}}
{{1,3,8},{2},{4,5,6},{7}}=>{{1,3,5,8},{2},{4,6},{7}}
{{1,3,4,7},{2},{5,6},{8}}=>{{1,3,4,6},{2},{5,7},{8}}
{{1,8},{2},{3,4,7},{5,6}}=>{{1,4,7},{2},{3,6},{5,8}}
{{1,3,8},{2},{4,7},{5,6}}=>{{1,3,6},{2},{4,7},{5,8}}
{{1,3,4,8},{2},{5,6},{7}}=>{{1,3,4,6},{2},{5,8},{7}}
{{1,3,4,5,7},{2},{6},{8}}=>{{1,3,4,5,7},{2},{6},{8}}
{{1,8},{2},{3,4,5,7},{6}}=>{{1,4,7},{2},{3,5,8},{6}}
{{1,3,8},{2},{4,5,7},{6}}=>{{1,3,5,8},{2},{4,7},{6}}
{{1,3,4,8},{2},{5,7},{6}}=>{{1,3,4,7},{2},{5,8},{6}}
{{1,3,4,5,8},{2},{6},{7}}=>{{1,3,4,5,8},{2},{6},{7}}
{{1,3,4,5,7,8},{2},{6}}=>{{1,3,4,5,7,8},{2},{6}}
{{1,3,4,5,6,7},{2},{8}}=>{{1,3,4,5,6,7},{2},{8}}
{{1,8},{2},{3,4,5,6,7}}=>{{1,4,6,8},{2},{3,5,7}}
{{1,3,8},{2},{4,5,6,7}}=>{{1,3,5,7},{2},{4,6,8}}
{{1,3,4,5,6,8},{2},{7}}=>{{1,3,4,5,6,8},{2},{7}}
{{1,3,4,5,6,7,8},{2}}=>{{1,3,4,5,6,7,8},{2}}
{{1,2,3},{4},{5},{6},{7},{8}}=>{{1,2,3},{4},{5},{6},{7},{8}}
{{1,2,3},{4},{5},{6,8},{7}}=>{{1,2,3},{4},{5},{6,8},{7}}
{{1,2,3},{4},{5},{6,7,8}}=>{{1,2,3},{4},{5},{6,7,8}}
{{1,2,3},{4},{5,6},{7,8}}=>{{1,2,3},{4},{5,6},{7,8}}
{{1,2,3},{4},{5,7},{6},{8}}=>{{1,2,3},{4},{5,7},{6},{8}}
{{1,2,3},{4},{5,7,8},{6}}=>{{1,2,3},{4},{5,7,8},{6}}
{{1,2,3},{4},{5,8},{6,7}}=>{{1,2,3},{4},{5,7},{6,8}}
{{1,2,3},{4},{5,6,8},{7}}=>{{1,2,3},{4},{5,6,8},{7}}
{{1,2,3},{4},{5,6,7,8}}=>{{1,2,3},{4},{5,6,7,8}}
{{1,2,3},{4,5},{6},{7},{8}}=>{{1,2,3},{4,5},{6},{7},{8}}
{{1,2,3},{4,5},{6,7},{8}}=>{{1,2,3},{4,5},{6,7},{8}}
{{1,2,3},{4,6},{5},{7},{8}}=>{{1,2,3},{4,6},{5},{7},{8}}
{{1,2,3},{4,6},{5},{7,8}}=>{{1,2,3},{4,6},{5},{7,8}}
{{1,2,3},{4,6,7},{5},{8}}=>{{1,2,3},{4,6,7},{5},{8}}
{{1,2,3},{4,8},{5},{6,7}}=>{{1,2,3},{4,7},{5},{6,8}}
{{1,2,3},{4,6,8},{5},{7}}=>{{1,2,3},{4,6,8},{5},{7}}
{{1,2,3},{4,5,6},{7},{8}}=>{{1,2,3},{4,5,6},{7},{8}}
{{1,2,3},{4,5,6},{7,8}}=>{{1,2,3},{4,5,6},{7,8}}
{{1,2,3},{4,8},{5,7},{6}}=>{{1,2,3},{4,7},{5,8},{6}}
{{1,2,3},{4,5,6,7},{8}}=>{{1,2,3},{4,5,6,7},{8}}
{{1,2,3},{4,8},{5,6,7}}=>{{1,2,3},{4,6,8},{5,7}}
{{1,2,3},{4,5,8},{6,7}}=>{{1,2,3},{4,5,7},{6,8}}
{{1,2,3},{4,5,6,7,8}}=>{{1,2,3},{4,5,6,7,8}}
{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,3},{2,4},{5},{6},{7},{8}}
{{1,4},{2,3},{5},{6},{7,8}}=>{{1,3},{2,4},{5},{6},{7,8}}
{{1,4},{2,3},{5},{6,7},{8}}=>{{1,3},{2,4},{5},{6,7},{8}}
{{1,4},{2,3},{5},{6,8},{7}}=>{{1,3},{2,4},{5},{6,8},{7}}
{{1,4},{2,3},{5},{6,7,8}}=>{{1,3},{2,4},{5},{6,7,8}}
{{1,4},{2,3},{5,6},{7},{8}}=>{{1,3},{2,4},{5,6},{7},{8}}
{{1,4},{2,3},{5,7},{6},{8}}=>{{1,3},{2,4},{5,7},{6},{8}}
{{1,4},{2,3},{5,8},{6},{7}}=>{{1,3},{2,4},{5,8},{6},{7}}
{{1,4},{2,3},{5,7,8},{6}}=>{{1,3},{2,4},{5,7,8},{6}}
{{1,4},{2,3},{5,6,7},{8}}=>{{1,3},{2,4},{5,6,7},{8}}
{{1,4},{2,3},{5,6,8},{7}}=>{{1,3},{2,4},{5,6,8},{7}}
{{1,4},{2,3},{5,6,7,8}}=>{{1,3},{2,4},{5,6,7,8}}
{{1,5},{2,3},{4},{6,7},{8}}=>{{1,3},{2,5},{4},{6,7},{8}}
{{1,5},{2,3},{4},{6,8},{7}}=>{{1,3},{2,5},{4},{6,8},{7}}
{{1,5},{2,3},{4},{6,7,8}}=>{{1,3},{2,5},{4},{6,7,8}}
{{1,6},{2,3},{4},{5},{7,8}}=>{{1,3},{2,6},{4},{5},{7,8}}
{{1,6,8},{2,3},{4},{5},{7}}=>{{1,3},{2,6,8},{4},{5},{7}}
{{1,6,7,8},{2,3},{4},{5}}=>{{1,3},{2,6,7,8},{4},{5}}
{{1,5,6},{2,3},{4},{7,8}}=>{{1,3},{2,5,6},{4},{7,8}}
{{1,7},{2,3},{4},{5,6},{8}}=>{{1,3},{2,6},{4},{5,7},{8}}
{{1,7,8},{2,3},{4},{5,6}}=>{{1,3},{2,6},{4},{5,7,8}}
{{1,5,7},{2,3},{4},{6},{8}}=>{{1,3},{2,5,7},{4},{6},{8}}
{{1,5,7,8},{2,3},{4},{6}}=>{{1,3},{2,5,7,8},{4},{6}}
{{1,5,6,7},{2,3},{4},{8}}=>{{1,3},{2,5,6,7},{4},{8}}
{{1,8},{2,3},{4},{5,6,7}}=>{{1,3},{2,6,8},{4},{5,7}}
{{1,5,8},{2,3},{4},{6,7}}=>{{1,3},{2,5,7},{4},{6,8}}
{{1,5,6,8},{2,3},{4},{7}}=>{{1,3},{2,5,6,8},{4},{7}}
{{1,4,5},{2,3},{6},{7,8}}=>{{1,3},{2,4,5},{6},{7,8}}
{{1,4,5},{2,3},{6,7},{8}}=>{{1,3},{2,4,5},{6,7},{8}}
{{1,4,5},{2,3},{6,8},{7}}=>{{1,3},{2,4,5},{6,8},{7}}
{{1,6},{2,3},{4,5},{7},{8}}=>{{1,3},{2,5},{4,6},{7},{8}}
{{1,7},{2,3},{4,5},{6},{8}}=>{{1,3},{2,5},{4,7},{6},{8}}
{{1,7,8},{2,3},{4,5},{6}}=>{{1,3},{2,5},{4,7,8},{6}}
{{1,6,7},{2,3},{4,5},{8}}=>{{1,3},{2,5},{4,6,7},{8}}
{{1,6,8},{2,3},{4,5},{7}}=>{{1,3},{2,5},{4,6,8},{7}}
{{1,6,7,8},{2,3},{4,5}}=>{{1,3},{2,5},{4,6,7,8}}
{{1,4,6},{2,3},{5},{7},{8}}=>{{1,3},{2,4,6},{5},{7},{8}}
{{1,4,6},{2,3},{5},{7,8}}=>{{1,3},{2,4,6},{5},{7,8}}
{{1,7},{2,3},{4,6},{5},{8}}=>{{1,3},{2,6},{4,7},{5},{8}}
{{1,7,8},{2,3},{4,6},{5}}=>{{1,3},{2,6},{4,7,8},{5}}
{{1,4,7,8},{2,3},{5},{6}}=>{{1,3},{2,4,7,8},{5},{6}}
{{1,4,6,7},{2,3},{5},{8}}=>{{1,3},{2,4,6,7},{5},{8}}
{{1,8},{2,3},{4,6,7},{5}}=>{{1,3},{2,6,8},{4,7},{5}}
{{1,4,8},{2,3},{5},{6,7}}=>{{1,3},{2,4,7},{5},{6,8}}
{{1,4,6,8},{2,3},{5},{7}}=>{{1,3},{2,4,6,8},{5},{7}}
{{1,4,6,7,8},{2,3},{5}}=>{{1,3},{2,4,6,7,8},{5}}
{{1,4,5,6},{2,3},{7,8}}=>{{1,3},{2,4,5,6},{7,8}}
{{1,7},{2,3},{4,5,6},{8}}=>{{1,3},{2,5,7},{4,6},{8}}
{{1,8},{2,3},{4,5,6},{7}}=>{{1,3},{2,5,8},{4,6},{7}}
{{1,4,7},{2,3},{5,6},{8}}=>{{1,3},{2,4,6},{5,7},{8}}
{{1,4,8},{2,3},{5,6},{7}}=>{{1,3},{2,4,6},{5,8},{7}}
{{1,4,7,8},{2,3},{5,6}}=>{{1,3},{2,4,6},{5,7,8}}
{{1,4,5,7},{2,3},{6},{8}}=>{{1,3},{2,4,5,7},{6},{8}}
{{1,8},{2,3},{4,5,7},{6}}=>{{1,3},{2,5,8},{4,7},{6}}
{{1,4,8},{2,3},{5,7},{6}}=>{{1,3},{2,4,7},{5,8},{6}}
{{1,4,5,8},{2,3},{6},{7}}=>{{1,3},{2,4,5,8},{6},{7}}
{{1,4,5,7,8},{2,3},{6}}=>{{1,3},{2,4,5,7,8},{6}}
{{1,4,5,6,7},{2,3},{8}}=>{{1,3},{2,4,5,6,7},{8}}
{{1,8},{2,3},{4,5,6,7}}=>{{1,3},{2,5,7},{4,6,8}}
{{1,4,8},{2,3},{5,6,7}}=>{{1,3},{2,4,6,8},{5,7}}
{{1,4,5,8},{2,3},{6,7}}=>{{1,3},{2,4,5,7},{6,8}}
{{1,4,5,6,8},{2,3},{7}}=>{{1,3},{2,4,5,6,8},{7}}
{{1,4,5,6,7,8},{2,3}}=>{{1,3},{2,4,5,6,7,8}}
{{1,2,4},{3},{5},{6},{7},{8}}=>{{1,2,4},{3},{5},{6},{7},{8}}
{{1,2,4},{3},{5},{6},{7,8}}=>{{1,2,4},{3},{5},{6},{7,8}}
{{1,2,4},{3},{5},{6,8},{7}}=>{{1,2,4},{3},{5},{6,8},{7}}
{{1,2,4},{3},{5,6},{7,8}}=>{{1,2,4},{3},{5,6},{7,8}}
{{1,2,4},{3},{5,7},{6},{8}}=>{{1,2,4},{3},{5,7},{6},{8}}
{{1,2,4},{3},{5,8},{6},{7}}=>{{1,2,4},{3},{5,8},{6},{7}}
{{1,2,4},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,7,8},{6}}
{{1,2,4},{3},{5,6,7},{8}}=>{{1,2,4},{3},{5,6,7},{8}}
{{1,2,4},{3},{5,8},{6,7}}=>{{1,2,4},{3},{5,7},{6,8}}
{{1,2,4},{3},{5,6,8},{7}}=>{{1,2,4},{3},{5,6,8},{7}}
{{1,2,4},{3},{5,6,7,8}}=>{{1,2,4},{3},{5,6,7,8}}
{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,4},{2,5},{3},{6},{7},{8}}
{{1,5},{2,4},{3},{6},{7,8}}=>{{1,4},{2,5},{3},{6},{7,8}}
{{1,5},{2,4},{3},{6,7},{8}}=>{{1,4},{2,5},{3},{6,7},{8}}
{{1,5},{2,4},{3},{6,8},{7}}=>{{1,4},{2,5},{3},{6,8},{7}}
{{1,5},{2,4},{3},{6,7,8}}=>{{1,4},{2,5},{3},{6,7,8}}
{{1,8},{2,4},{3},{5},{6,7}}=>{{1,4},{2,7},{3},{5},{6,8}}
{{1,6,7,8},{2,4},{3},{5}}=>{{1,4},{2,6,7,8},{3},{5}}
{{1,5,6},{2,4},{3},{7,8}}=>{{1,4},{2,5,6},{3},{7,8}}
{{1,7},{2,4},{3},{5,6},{8}}=>{{1,4},{2,6},{3},{5,7},{8}}
{{1,7,8},{2,4},{3},{5,6}}=>{{1,4},{2,6},{3},{5,7,8}}
{{1,5,7},{2,4},{3},{6},{8}}=>{{1,4},{2,5,7},{3},{6},{8}}
{{1,8},{2,4},{3},{5,7},{6}}=>{{1,4},{2,7},{3},{5,8},{6}}
{{1,5,7,8},{2,4},{3},{6}}=>{{1,4},{2,5,7,8},{3},{6}}
{{1,5,6,7},{2,4},{3},{8}}=>{{1,4},{2,5,6,7},{3},{8}}
{{1,8},{2,4},{3},{5,6,7}}=>{{1,4},{2,6,8},{3},{5,7}}
{{1,5,8},{2,4},{3},{6,7}}=>{{1,4},{2,5,7},{3},{6,8}}
{{1,5,6,8},{2,4},{3},{7}}=>{{1,4},{2,5,6,8},{3},{7}}
{{1,5,6,7,8},{2,4},{3}}=>{{1,4},{2,5,6,7,8},{3}}
{{1,2,5},{3},{4},{6,7,8}}=>{{1,2,5},{3},{4},{6,7,8}}
{{1,7,8},{2,5},{3},{4},{6}}=>{{1,5},{2,7,8},{3},{4},{6}}
{{1,6,7,8},{2,5},{3},{4}}=>{{1,5},{2,6,7,8},{3},{4}}
{{1,2,8},{3},{4},{5},{6},{7}}=>{{1,2,8},{3},{4},{5},{6},{7}}
{{1,2,6,7,8},{3},{4},{5}}=>{{1,2,6,7,8},{3},{4},{5}}
{{1,2,5,6},{3},{4},{7,8}}=>{{1,2,5,6},{3},{4},{7,8}}
{{1,7,8},{2,5,6},{3},{4}}=>{{1,5,7,8},{2,6},{3},{4}}
{{1,2,7,8},{3},{4},{5,6}}=>{{1,2,6},{3},{4},{5,7,8}}
{{1,8},{2,5,7},{3},{4},{6}}=>{{1,5,8},{2,7},{3},{4},{6}}
{{1,2,5,7,8},{3},{4},{6}}=>{{1,2,5,7,8},{3},{4},{6}}
{{1,2,5,6,7},{3},{4},{8}}=>{{1,2,5,6,7},{3},{4},{8}}
{{1,8},{2,5,6,7},{3},{4}}=>{{1,5,7},{2,6,8},{3},{4}}
{{1,2,8},{3},{4},{5,6,7}}=>{{1,2,6,8},{3},{4},{5,7}}
{{1,2,5,8},{3},{4},{6,7}}=>{{1,2,5,7},{3},{4},{6,8}}
{{1,2,5,6,8},{3},{4},{7}}=>{{1,2,5,6,8},{3},{4},{7}}
{{1,2,5,6,7,8},{3},{4}}=>{{1,2,5,6,7,8},{3},{4}}
{{1,2,4,5},{3},{6},{7,8}}=>{{1,2,4,5},{3},{6},{7,8}}
{{1,2,4,5},{3},{6,8},{7}}=>{{1,2,4,5},{3},{6,8},{7}}
{{1,2,4,5},{3},{6,7,8}}=>{{1,2,4,5},{3},{6,7,8}}
{{1,6},{2,4,5},{3},{7,8}}=>{{1,4,6},{2,5},{3},{7,8}}
{{1,7},{2,4,5},{3},{6},{8}}=>{{1,4,7},{2,5},{3},{6},{8}}
{{1,7,8},{2,4,5},{3},{6}}=>{{1,4,7,8},{2,5},{3},{6}}
{{1,6,7},{2,4,5},{3},{8}}=>{{1,4,6,7},{2,5},{3},{8}}
{{1,8},{2,4,5},{3},{6,7}}=>{{1,4,7},{2,5},{3},{6,8}}
{{1,6,8},{2,4,5},{3},{7}}=>{{1,4,6,8},{2,5},{3},{7}}
{{1,2,6},{3},{4,5},{7},{8}}=>{{1,2,5},{3},{4,6},{7},{8}}
{{1,2,6},{3},{4,5},{7,8}}=>{{1,2,5},{3},{4,6},{7,8}}
{{1,7},{2,6},{3},{4,5},{8}}=>{{1,5},{2,6},{3},{4,7},{8}}
{{1,7,8},{2,6},{3},{4,5}}=>{{1,5},{2,6},{3},{4,7,8}}
{{1,2,7,8},{3},{4,5},{6}}=>{{1,2,5},{3},{4,7,8},{6}}
{{1,8},{2,6,7},{3},{4,5}}=>{{1,5},{2,6,8},{3},{4,7}}
{{1,2,8},{3},{4,5},{6,7}}=>{{1,2,5},{3},{4,7},{6,8}}
{{1,2,6,8},{3},{4,5},{7}}=>{{1,2,5},{3},{4,6,8},{7}}
{{1,2,4,6},{3},{5},{7},{8}}=>{{1,2,4,6},{3},{5},{7},{8}}
{{1,2,4,6},{3},{5},{7,8}}=>{{1,2,4,6},{3},{5},{7,8}}
{{1,7},{2,4,6},{3},{5},{8}}=>{{1,4,7},{2,6},{3},{5},{8}}
{{1,7,8},{2,4,6},{3},{5}}=>{{1,4,7,8},{2,6},{3},{5}}
{{1,2,7,8},{3},{4,6},{5}}=>{{1,2,6},{3},{4,7,8},{5}}
{{1,8},{2,4,7},{3},{5},{6}}=>{{1,4,8},{2,7},{3},{5},{6}}
{{1,2,4,7,8},{3},{5},{6}}=>{{1,2,4,7,8},{3},{5},{6}}
{{1,8},{2,4,6,7},{3},{5}}=>{{1,4,7},{2,6,8},{3},{5}}
{{1,2,8},{3},{4,6,7},{5}}=>{{1,2,6,8},{3},{4,7},{5}}
{{1,2,4,8},{3},{5},{6,7}}=>{{1,2,4,7},{3},{5},{6,8}}
{{1,2,4,6,8},{3},{5},{7}}=>{{1,2,4,6,8},{3},{5},{7}}
{{1,2,4,6,7,8},{3},{5}}=>{{1,2,4,6,7,8},{3},{5}}
{{1,2,4,5,6},{3},{7,8}}=>{{1,2,4,5,6},{3},{7,8}}
{{1,7},{2,4,5,6},{3},{8}}=>{{1,4,6},{2,5,7},{3},{8}}
{{1,8},{2,4,5,6},{3},{7}}=>{{1,4,6},{2,5,8},{3},{7}}
{{1,7,8},{2,4,5,6},{3}}=>{{1,4,6},{2,5,7,8},{3}}
{{1,8},{2,7},{3},{4,5,6}}=>{{1,5,8},{2,6},{3},{4,7}}
{{1,2,8},{3},{4,5,6},{7}}=>{{1,2,5,8},{3},{4,6},{7}}
{{1,2,4,7},{3},{5,6},{8}}=>{{1,2,4,6},{3},{5,7},{8}}
{{1,8},{2,4,7},{3},{5,6}}=>{{1,4,7},{2,6},{3},{5,8}}
{{1,2,8},{3},{4,7},{5,6}}=>{{1,2,6},{3},{4,7},{5,8}}
{{1,2,4,8},{3},{5,6},{7}}=>{{1,2,4,6},{3},{5,8},{7}}
{{1,2,4,7,8},{3},{5,6}}=>{{1,2,4,6},{3},{5,7,8}}
{{1,2,4,5,7},{3},{6},{8}}=>{{1,2,4,5,7},{3},{6},{8}}
{{1,8},{2,4,5,7},{3},{6}}=>{{1,4,7},{2,5,8},{3},{6}}
{{1,2,8},{3},{4,5,7},{6}}=>{{1,2,5,8},{3},{4,7},{6}}
{{1,2,4,8},{3},{5,7},{6}}=>{{1,2,4,7},{3},{5,8},{6}}
{{1,2,4,5,7,8},{3},{6}}=>{{1,2,4,5,7,8},{3},{6}}
{{1,2,4,5,6,7},{3},{8}}=>{{1,2,4,5,6,7},{3},{8}}
{{1,8},{2,4,5,6,7},{3}}=>{{1,4,6,8},{2,5,7},{3}}
{{1,2,4,8},{3},{5,6,7}}=>{{1,2,4,6,8},{3},{5,7}}
{{1,2,4,5,8},{3},{6,7}}=>{{1,2,4,5,7},{3},{6,8}}
{{1,2,4,5,6,8},{3},{7}}=>{{1,2,4,5,6,8},{3},{7}}
{{1,2,4,5,6,7,8},{3}}=>{{1,2,4,5,6,7,8},{3}}
{{1,2,3,4},{5},{6},{7},{8}}=>{{1,2,3,4},{5},{6},{7},{8}}
{{1,2,3,4},{5},{6},{7,8}}=>{{1,2,3,4},{5},{6},{7,8}}
{{1,2,3,4},{5},{6,7},{8}}=>{{1,2,3,4},{5},{6,7},{8}}
{{1,2,3,4},{5},{6,8},{7}}=>{{1,2,3,4},{5},{6,8},{7}}
{{1,2,3,4},{5},{6,7,8}}=>{{1,2,3,4},{5},{6,7,8}}
{{1,2,3,4},{5,6},{7},{8}}=>{{1,2,3,4},{5,6},{7},{8}}
{{1,2,3,4},{5,6},{7,8}}=>{{1,2,3,4},{5,6},{7,8}}
{{1,2,3,4},{5,7,8},{6}}=>{{1,2,3,4},{5,7,8},{6}}
{{1,2,3,4},{5,6,7},{8}}=>{{1,2,3,4},{5,6,7},{8}}
{{1,2,3,4},{5,8},{6,7}}=>{{1,2,3,4},{5,7},{6,8}}
{{1,2,3,4},{5,6,8},{7}}=>{{1,2,3,4},{5,6,8},{7}}
{{1,2,3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6,7,8}}
{{1,5},{2,3,4},{6},{7},{8}}=>{{1,3,5},{2,4},{6},{7},{8}}
{{1,5},{2,3,4},{6,8},{7}}=>{{1,3,5},{2,4},{6,8},{7}}
{{1,5},{2,3,4},{6,7,8}}=>{{1,3,5},{2,4},{6,7,8}}
{{1,6},{2,3,4},{5},{7},{8}}=>{{1,3,6},{2,4},{5},{7},{8}}
{{1,6},{2,3,4},{5},{7,8}}=>{{1,3,6},{2,4},{5},{7,8}}
{{1,7},{2,3,4},{5},{6},{8}}=>{{1,3,7},{2,4},{5},{6},{8}}
{{1,8},{2,3,4},{5},{6,7}}=>{{1,3,7},{2,4},{5},{6,8}}
{{1,6,8},{2,3,4},{5},{7}}=>{{1,3,6,8},{2,4},{5},{7}}
{{1,6,7,8},{2,3,4},{5}}=>{{1,3,6,7,8},{2,4},{5}}
{{1,5,6},{2,3,4},{7},{8}}=>{{1,3,5,6},{2,4},{7},{8}}
{{1,7},{2,3,4},{5,6},{8}}=>{{1,3,6},{2,4},{5,7},{8}}
{{1,8},{2,3,4},{5,6},{7}}=>{{1,3,6},{2,4},{5,8},{7}}
{{1,5,7},{2,3,4},{6},{8}}=>{{1,3,5,7},{2,4},{6},{8}}
{{1,8},{2,3,4},{5,7},{6}}=>{{1,3,7},{2,4},{5,8},{6}}
{{1,5,8},{2,3,4},{6},{7}}=>{{1,3,5,8},{2,4},{6},{7}}
{{1,5,6,7},{2,3,4},{8}}=>{{1,3,5,6,7},{2,4},{8}}
{{1,5,8},{2,3,4},{6,7}}=>{{1,3,5,7},{2,4},{6,8}}
{{1,5,6,8},{2,3,4},{7}}=>{{1,3,5,6,8},{2,4},{7}}
{{1,5,6,7,8},{2,3,4}}=>{{1,3,5,6,7,8},{2,4}}
{{1,2,5},{3,4},{6},{7},{8}}=>{{1,2,4},{3,5},{6},{7},{8}}
{{1,2,5},{3,4},{6},{7,8}}=>{{1,2,4},{3,5},{6},{7,8}}
{{1,2,5},{3,4},{6,7},{8}}=>{{1,2,4},{3,5},{6,7},{8}}
{{1,2,5},{3,4},{6,8},{7}}=>{{1,2,4},{3,5},{6,8},{7}}
{{1,6},{2,5},{3,4},{7},{8}}=>{{1,4},{2,5},{3,6},{7},{8}}
{{1,7},{2,5},{3,4},{6},{8}}=>{{1,4},{2,5},{3,7},{6},{8}}
{{1,7,8},{2,5},{3,4},{6}}=>{{1,4},{2,5},{3,7,8},{6}}
{{1,6,7},{2,5},{3,4},{8}}=>{{1,4},{2,5},{3,6,7},{8}}
{{1,6,8},{2,5},{3,4},{7}}=>{{1,4},{2,5},{3,6,8},{7}}
{{1,6,7,8},{2,5},{3,4}}=>{{1,4},{2,5},{3,6,7,8}}
{{1,2,6},{3,4},{5},{7},{8}}=>{{1,2,4},{3,6},{5},{7},{8}}
{{1,2,6},{3,4},{5},{7,8}}=>{{1,2,4},{3,6},{5},{7,8}}
{{1,7},{2,6},{3,4},{5},{8}}=>{{1,4},{2,6},{3,7},{5},{8}}
{{1,8},{2,6},{3,4},{5},{7}}=>{{1,4},{2,6},{3,8},{5},{7}}
{{1,7,8},{2,6},{3,4},{5}}=>{{1,4},{2,6},{3,7,8},{5}}
{{1,2,7,8},{3,4},{5},{6}}=>{{1,2,4},{3,7,8},{5},{6}}
{{1,8},{2,6,7},{3,4},{5}}=>{{1,4},{2,6,8},{3,7},{5}}
{{1,2,8},{3,4},{5},{6,7}}=>{{1,2,4},{3,7},{5},{6,8}}
{{1,2,6,8},{3,4},{5},{7}}=>{{1,2,4},{3,6,8},{5},{7}}
{{1,2,6,7,8},{3,4},{5}}=>{{1,2,4},{3,6,7,8},{5}}
{{1,2,5,6},{3,4},{7},{8}}=>{{1,2,4},{3,5,6},{7},{8}}
{{1,2,5,6},{3,4},{7,8}}=>{{1,2,4},{3,5,6},{7,8}}
{{1,7},{2,5,6},{3,4},{8}}=>{{1,4},{2,5,7},{3,6},{8}}
{{1,8},{2,5,6},{3,4},{7}}=>{{1,4},{2,5,8},{3,6},{7}}
{{1,7,8},{2,5,6},{3,4}}=>{{1,4},{2,5,7,8},{3,6}}
{{1,2,7},{3,4},{5,6},{8}}=>{{1,2,4},{3,6},{5,7},{8}}
{{1,2,8},{3,4},{5,6},{7}}=>{{1,2,4},{3,6},{5,8},{7}}
{{1,2,7,8},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7,8}}
{{1,2,5,7},{3,4},{6},{8}}=>{{1,2,4},{3,5,7},{6},{8}}
{{1,8},{2,5,7},{3,4},{6}}=>{{1,4},{2,5,8},{3,7},{6}}
{{1,2,8},{3,4},{5,7},{6}}=>{{1,2,4},{3,7},{5,8},{6}}
{{1,2,5,8},{3,4},{6},{7}}=>{{1,2,4},{3,5,8},{6},{7}}
{{1,8},{2,5,6,7},{3,4}}=>{{1,4},{2,5,7},{3,6,8}}
{{1,2,5,8},{3,4},{6,7}}=>{{1,2,4},{3,5,7},{6,8}}
{{1,2,5,6,7,8},{3,4}}=>{{1,2,4},{3,5,6,7,8}}
{{1,2,3,5},{4},{6},{7},{8}}=>{{1,2,3,5},{4},{6},{7},{8}}
{{1,2,3,5},{4},{6},{7,8}}=>{{1,2,3,5},{4},{6},{7,8}}
{{1,2,3,5},{4},{6,7},{8}}=>{{1,2,3,5},{4},{6,7},{8}}
{{1,2,3,5},{4},{6,8},{7}}=>{{1,2,3,5},{4},{6,8},{7}}
{{1,2,3,5},{4},{6,7,8}}=>{{1,2,3,5},{4},{6,7,8}}
{{1,6},{2,3,5},{4},{7},{8}}=>{{1,3,6},{2,5},{4},{7},{8}}
{{1,6},{2,3,5},{4},{7,8}}=>{{1,3,6},{2,5},{4},{7,8}}
{{1,7},{2,3,5},{4},{6},{8}}=>{{1,3,7},{2,5},{4},{6},{8}}
{{1,7,8},{2,3,5},{4},{6}}=>{{1,3,7,8},{2,5},{4},{6}}
{{1,6,7},{2,3,5},{4},{8}}=>{{1,3,6,7},{2,5},{4},{8}}
{{1,8},{2,3,5},{4},{6,7}}=>{{1,3,7},{2,5},{4},{6,8}}
{{1,6,8},{2,3,5},{4},{7}}=>{{1,3,6,8},{2,5},{4},{7}}
{{1,2,6},{3,5},{4},{7},{8}}=>{{1,2,5},{3,6},{4},{7},{8}}
{{1,2,6},{3,5},{4},{7,8}}=>{{1,2,5},{3,6},{4},{7,8}}
{{1,7},{2,6},{3,5},{4},{8}}=>{{1,5},{2,6},{3,7},{4},{8}}
{{1,7,8},{2,6},{3,5},{4}}=>{{1,5},{2,6},{3,7,8},{4}}
{{1,2,7,8},{3,5},{4},{6}}=>{{1,2,5},{3,7,8},{4},{6}}
{{1,2,6,7},{3,5},{4},{8}}=>{{1,2,5},{3,6,7},{4},{8}}
{{1,8},{2,6,7},{3,5},{4}}=>{{1,5},{2,6,8},{3,7},{4}}
{{1,2,8},{3,5},{4},{6,7}}=>{{1,2,5},{3,7},{4},{6,8}}
{{1,2,6,8},{3,5},{4},{7}}=>{{1,2,5},{3,6,8},{4},{7}}
{{1,2,6,7,8},{3,5},{4}}=>{{1,2,5},{3,6,7,8},{4}}
{{1,2,3,6},{4},{5},{7,8}}=>{{1,2,3,6},{4},{5},{7,8}}
{{1,7,8},{2,3,6},{4},{5}}=>{{1,3,7,8},{2,6},{4},{5}}
{{1,2,7,8},{3,6},{4},{5}}=>{{1,2,6},{3,7,8},{4},{5}}
{{1,2,3,8},{4},{5},{6},{7}}=>{{1,2,3,8},{4},{5},{6},{7}}
{{1,2,3,7,8},{4},{5},{6}}=>{{1,2,3,7,8},{4},{5},{6}}
{{1,2,3,6,7},{4},{5},{8}}=>{{1,2,3,6,7},{4},{5},{8}}
{{1,8},{2,3,6,7},{4},{5}}=>{{1,3,7},{2,6,8},{4},{5}}
{{1,2,8},{3,6,7},{4},{5}}=>{{1,2,6,8},{3,7},{4},{5}}
{{1,2,3,8},{4},{5},{6,7}}=>{{1,2,3,7},{4},{5},{6,8}}
{{1,2,3,6,8},{4},{5},{7}}=>{{1,2,3,6,8},{4},{5},{7}}
{{1,2,3,6,7,8},{4},{5}}=>{{1,2,3,6,7,8},{4},{5}}
{{1,2,3,5,6},{4},{7},{8}}=>{{1,2,3,5,6},{4},{7},{8}}
{{1,2,3,5,6},{4},{7,8}}=>{{1,2,3,5,6},{4},{7,8}}
{{1,7},{2,3,5,6},{4},{8}}=>{{1,3,6},{2,5,7},{4},{8}}
{{1,8},{2,3,5,6},{4},{7}}=>{{1,3,6},{2,5,8},{4},{7}}
{{1,7,8},{2,3,5,6},{4}}=>{{1,3,6},{2,5,7,8},{4}}
{{1,2,7},{3,5,6},{4},{8}}=>{{1,2,5,7},{3,6},{4},{8}}
{{1,8},{2,7},{3,5,6},{4}}=>{{1,5,8},{2,6},{3,7},{4}}
{{1,2,8},{3,5,6},{4},{7}}=>{{1,2,5,8},{3,6},{4},{7}}
{{1,2,7,8},{3,5,6},{4}}=>{{1,2,5,7,8},{3,6},{4}}
{{1,2,3,7},{4},{5,6},{8}}=>{{1,2,3,6},{4},{5,7},{8}}
{{1,8},{2,3,7},{4},{5,6}}=>{{1,3,7},{2,6},{4},{5,8}}
{{1,2,8},{3,7},{4},{5,6}}=>{{1,2,6},{3,7},{4},{5,8}}
{{1,2,3,8},{4},{5,6},{7}}=>{{1,2,3,6},{4},{5,8},{7}}
{{1,2,3,5,7},{4},{6},{8}}=>{{1,2,3,5,7},{4},{6},{8}}
{{1,8},{2,3,5,7},{4},{6}}=>{{1,3,7},{2,5,8},{4},{6}}
{{1,2,8},{3,5,7},{4},{6}}=>{{1,2,5,8},{3,7},{4},{6}}
{{1,2,3,8},{4},{5,7},{6}}=>{{1,2,3,7},{4},{5,8},{6}}
{{1,2,3,5,8},{4},{6},{7}}=>{{1,2,3,5,8},{4},{6},{7}}
{{1,2,3,5,7,8},{4},{6}}=>{{1,2,3,5,7,8},{4},{6}}
{{1,2,3,5,6,7},{4},{8}}=>{{1,2,3,5,6,7},{4},{8}}
{{1,8},{2,3,5,6,7},{4}}=>{{1,3,6,8},{2,5,7},{4}}
{{1,2,8},{3,5,6,7},{4}}=>{{1,2,5,7},{3,6,8},{4}}
{{1,2,3,8},{4},{5,6,7}}=>{{1,2,3,6,8},{4},{5,7}}
{{1,2,3,5,8},{4},{6,7}}=>{{1,2,3,5,7},{4},{6,8}}
{{1,2,3,5,6,8},{4},{7}}=>{{1,2,3,5,6,8},{4},{7}}
{{1,2,3,5,6,7,8},{4}}=>{{1,2,3,5,6,7,8},{4}}
{{1,2,3,4,5},{6},{7},{8}}=>{{1,2,3,4,5},{6},{7},{8}}
{{1,2,3,4,5},{6},{7,8}}=>{{1,2,3,4,5},{6},{7,8}}
{{1,2,3,4,5},{6,7},{8}}=>{{1,2,3,4,5},{6,7},{8}}
{{1,2,3,4,5},{6,8},{7}}=>{{1,2,3,4,5},{6,8},{7}}
{{1,2,3,4,5},{6,7,8}}=>{{1,2,3,4,5},{6,7,8}}
{{1,6},{2,3,4,5},{7,8}}=>{{1,3,5},{2,4,6},{7,8}}
{{1,7},{2,3,4,5},{6},{8}}=>{{1,3,5},{2,4,7},{6},{8}}
{{1,8},{2,3,4,5},{6},{7}}=>{{1,3,5},{2,4,8},{6},{7}}
{{1,8},{2,3,4,5},{6,7}}=>{{1,3,5},{2,4,7},{6,8}}
{{1,6,8},{2,3,4,5},{7}}=>{{1,3,5},{2,4,6,8},{7}}
{{1,6,7,8},{2,3,4,5}}=>{{1,3,5},{2,4,6,7,8}}
{{1,2,6},{3,4,5},{7},{8}}=>{{1,2,4,6},{3,5},{7},{8}}
{{1,2,6},{3,4,5},{7,8}}=>{{1,2,4,6},{3,5},{7,8}}
{{1,7},{2,6},{3,4,5},{8}}=>{{1,4,7},{2,5},{3,6},{8}}
{{1,8},{2,6},{3,4,5},{7}}=>{{1,4,8},{2,5},{3,6},{7}}
{{1,7,8},{2,6},{3,4,5}}=>{{1,4,7,8},{2,5},{3,6}}
{{1,2,7},{3,4,5},{6},{8}}=>{{1,2,4,7},{3,5},{6},{8}}
{{1,8},{2,7},{3,4,5},{6}}=>{{1,4,8},{2,5},{3,7},{6}}
{{1,2,8},{3,4,5},{6,7}}=>{{1,2,4,7},{3,5},{6,8}}
{{1,2,6,8},{3,4,5},{7}}=>{{1,2,4,6,8},{3,5},{7}}
{{1,2,6,7,8},{3,4,5}}=>{{1,2,4,6,7,8},{3,5}}
{{1,2,3,6},{4,5},{7},{8}}=>{{1,2,3,5},{4,6},{7},{8}}
{{1,2,3,6},{4,5},{7,8}}=>{{1,2,3,5},{4,6},{7,8}}
{{1,8},{2,3,6},{4,5},{7}}=>{{1,3,6},{2,5},{4,8},{7}}
{{1,7,8},{2,3,6},{4,5}}=>{{1,3,6},{2,5},{4,7,8}}
{{1,2,7},{3,6},{4,5},{8}}=>{{1,2,5},{3,6},{4,7},{8}}
{{1,2,8},{3,6},{4,5},{7}}=>{{1,2,5},{3,6},{4,8},{7}}
{{1,2,7,8},{3,6},{4,5}}=>{{1,2,5},{3,6},{4,7,8}}
{{1,2,3,7},{4,5},{6},{8}}=>{{1,2,3,5},{4,7},{6},{8}}
{{1,8},{2,3,7},{4,5},{6}}=>{{1,3,7},{2,5},{4,8},{6}}
{{1,2,8},{3,7},{4,5},{6}}=>{{1,2,5},{3,7},{4,8},{6}}
{{1,2,3,8},{4,5},{6},{7}}=>{{1,2,3,5},{4,8},{6},{7}}
{{1,2,3,7,8},{4,5},{6}}=>{{1,2,3,5},{4,7,8},{6}}
{{1,2,3,6,7},{4,5},{8}}=>{{1,2,3,5},{4,6,7},{8}}
{{1,8},{2,3,6,7},{4,5}}=>{{1,3,6,8},{2,5},{4,7}}
{{1,2,3,8},{4,5},{6,7}}=>{{1,2,3,5},{4,7},{6,8}}
{{1,2,3,6,8},{4,5},{7}}=>{{1,2,3,5},{4,6,8},{7}}
{{1,2,3,6,7,8},{4,5}}=>{{1,2,3,5},{4,6,7,8}}
{{1,2,3,4,6},{5},{7},{8}}=>{{1,2,3,4,6},{5},{7},{8}}
{{1,2,3,4,6},{5},{7,8}}=>{{1,2,3,4,6},{5},{7,8}}
{{1,7},{2,3,4,6},{5},{8}}=>{{1,3,6},{2,4,7},{5},{8}}
{{1,8},{2,3,4,6},{5},{7}}=>{{1,3,6},{2,4,8},{5},{7}}
{{1,2,7},{3,4,6},{5},{8}}=>{{1,2,4,7},{3,6},{5},{8}}
{{1,8},{2,7},{3,4,6},{5}}=>{{1,4,8},{2,6},{3,7},{5}}
{{1,2,8},{3,4,6},{5},{7}}=>{{1,2,4,8},{3,6},{5},{7}}
{{1,2,3,7},{4,6},{5},{8}}=>{{1,2,3,6},{4,7},{5},{8}}
{{1,8},{2,3,7},{4,6},{5}}=>{{1,3,7},{2,6},{4,8},{5}}
{{1,2,8},{3,7},{4,6},{5}}=>{{1,2,6},{3,7},{4,8},{5}}
{{1,2,3,8},{4,6},{5},{7}}=>{{1,2,3,6},{4,8},{5},{7}}
{{1,2,3,7,8},{4,6},{5}}=>{{1,2,3,6},{4,7,8},{5}}
{{1,2,3,4,7},{5},{6},{8}}=>{{1,2,3,4,7},{5},{6},{8}}
{{1,8},{2,3,4,7},{5},{6}}=>{{1,3,7},{2,4,8},{5},{6}}
{{1,2,8},{3,4,7},{5},{6}}=>{{1,2,4,8},{3,7},{5},{6}}
{{1,2,3,8},{4,7},{5},{6}}=>{{1,2,3,7},{4,8},{5},{6}}
{{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}}
{{1,2,3,4,6,7},{5},{8}}=>{{1,2,3,4,6,7},{5},{8}}
{{1,8},{2,3,4,6,7},{5}}=>{{1,3,6,8},{2,4,7},{5}}
{{1,2,8},{3,4,6,7},{5}}=>{{1,2,4,7},{3,6,8},{5}}
{{1,2,3,4,8},{5},{6,7}}=>{{1,2,3,4,7},{5},{6,8}}
{{1,2,3,4,6,8},{5},{7}}=>{{1,2,3,4,6,8},{5},{7}}
{{1,2,3,4,6,7,8},{5}}=>{{1,2,3,4,6,7,8},{5}}
{{1,2,3,4,5,6},{7},{8}}=>{{1,2,3,4,5,6},{7},{8}}
{{1,2,3,4,5,6},{7,8}}=>{{1,2,3,4,5,6},{7,8}}
{{1,7},{2,3,4,5,6},{8}}=>{{1,3,5,7},{2,4,6},{8}}
{{1,7,8},{2,3,4,5,6}}=>{{1,3,5,7,8},{2,4,6}}
{{1,8},{2,7},{3,4,5,6}}=>{{1,4,7},{2,5,8},{3,6}}
{{1,2,7,8},{3,4,5,6}}=>{{1,2,4,6},{3,5,7,8}}
{{1,2,8},{3,7},{4,5,6}}=>{{1,2,5,8},{3,6},{4,7}}
{{1,2,3,8},{4,5,6},{7}}=>{{1,2,3,5,8},{4,6},{7}}
{{1,2,3,7,8},{4,5,6}}=>{{1,2,3,5,7,8},{4,6}}
{{1,2,3,4,7},{5,6},{8}}=>{{1,2,3,4,6},{5,7},{8}}
{{1,8},{2,3,4,7},{5,6}}=>{{1,3,6},{2,4,7},{5,8}}
{{1,2,8},{3,4,7},{5,6}}=>{{1,2,4,7},{3,6},{5,8}}
{{1,2,3,8},{4,7},{5,6}}=>{{1,2,3,6},{4,7},{5,8}}
{{1,2,3,4,8},{5,6},{7}}=>{{1,2,3,4,6},{5,8},{7}}
{{1,2,3,4,7,8},{5,6}}=>{{1,2,3,4,6},{5,7,8}}
{{1,2,3,4,5,7},{6},{8}}=>{{1,2,3,4,5,7},{6},{8}}
{{1,2,8},{3,4,5,7},{6}}=>{{1,2,4,7},{3,5,8},{6}}
{{1,2,3,8},{4,5,7},{6}}=>{{1,2,3,5,8},{4,7},{6}}
{{1,2,3,4,8},{5,7},{6}}=>{{1,2,3,4,7},{5,8},{6}}
{{1,2,3,4,5,8},{6},{7}}=>{{1,2,3,4,5,8},{6},{7}}
{{1,2,3,4,5,7,8},{6}}=>{{1,2,3,4,5,7,8},{6}}
{{1,2,3,4,5,6,7},{8}}=>{{1,2,3,4,5,6,7},{8}}
{{1,8},{2,3,4,5,6,7}}=>{{1,3,5,7},{2,4,6,8}}
{{1,2,8},{3,4,5,6,7}}=>{{1,2,4,6,8},{3,5,7}}
{{1,2,3,8},{4,5,6,7}}=>{{1,2,3,5,7},{4,6,8}}
{{1,2,3,4,8},{5,6,7}}=>{{1,2,3,4,6,8},{5,7}}
{{1,2,3,4,5,8},{6,7}}=>{{1,2,3,4,5,7},{6,8}}
{{1,2,3,4,5,6,8},{7}}=>{{1,2,3,4,5,6,8},{7}}
{{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}}
{{1,3,5,6,7,8},{2,4}}=>{{1,4},{2,3,5,6,7,8}}
{{1,3,4,6,7,8},{2,5}}=>{{1,5},{2,3,4,6,7,8}}
{{1,2,4,6,7,8},{3,5}}=>{{1,2,5},{3,4,6,7,8}}
{{1,3,4,5,7,8},{2,6}}=>{{1,6},{2,3,4,5,7,8}}
{{1,2,4,5,7,8},{3,6}}=>{{1,2,6},{3,4,5,7,8}}
{{1,2,3,5,7,8},{4,6}}=>{{1,2,3,6},{4,5,7,8}}
{{1,3,4,5,6,8},{2,7}}=>{{1,7},{2,3,4,5,6,8}}
{{1,2,4,5,6,8},{3,7}}=>{{1,2,7},{3,4,5,6,8}}
{{1,2,3,5,6,8},{4,7}}=>{{1,2,3,7},{4,5,6,8}}
{{1,2,3,4,6,8},{5,7}}=>{{1,2,3,4,7},{5,6,8}}
{{1,3,4,5,6,7},{2,8}}=>{{1,8},{2,3,4,5,6,7}}
{{1,2,4,5,6,7},{3,8}}=>{{1,2,8},{3,4,5,6,7}}
{{1,2,3,5,6,7},{4,8}}=>{{1,2,3,8},{4,5,6,7}}
{{1,2,3,4,6,7},{5,8}}=>{{1,2,3,4,8},{5,6,7}}
{{1,2,3,4,5,7},{6,8}}=>{{1,2,3,4,5,8},{6,7}}
{{1,3,5,7,8},{2,4,6}}=>{{1,4,5,7,8},{2,3,6}}
{{1,2,5,7,8},{3,4,6}}=>{{1,2,4,5,7,8},{3,6}}
{{1,3,4,7,8},{2,5,6}}=>{{1,5,7,8},{2,3,4,6}}
{{1,2,4,7,8},{3,5,6}}=>{{1,2,5,7,8},{3,4,6}}
{{1,3,5,6,8},{2,4,7}}=>{{1,4,5,6,8},{2,3,7}}
{{1,2,5,6,8},{3,4,7}}=>{{1,2,4,5,6,8},{3,7}}
{{1,3,4,6,8},{2,5,7}}=>{{1,5,6,8},{2,3,4,7}}
{{1,2,4,6,8},{3,5,7}}=>{{1,2,5,6,8},{3,4,7}}
{{1,2,3,6,8},{4,5,7}}=>{{1,2,3,5,6,8},{4,7}}
{{1,3,4,5,8},{2,6,7}}=>{{1,6,8},{2,3,4,5,7}}
{{1,2,4,5,8},{3,6,7}}=>{{1,2,6,8},{3,4,5,7}}
{{1,2,3,5,8},{4,6,7}}=>{{1,2,3,6,8},{4,5,7}}
{{1,3,5,6,7},{2,4,8}}=>{{1,4,5,6,7},{2,3,8}}
{{1,2,5,6,7},{3,4,8}}=>{{1,2,4,5,6,7},{3,8}}
{{1,3,4,6,7},{2,5,8}}=>{{1,5,6,7},{2,3,4,8}}
{{1,2,4,6,7},{3,5,8}}=>{{1,2,5,6,7},{3,4,8}}
{{1,2,3,6,7},{4,5,8}}=>{{1,2,3,5,6,7},{4,8}}
{{1,3,4,5,7},{2,6,8}}=>{{1,6,7},{2,3,4,5,8}}
{{1,2,4,5,7},{3,6,8}}=>{{1,2,6,7},{3,4,5,8}}
{{1,2,3,5,7},{4,6,8}}=>{{1,2,3,6,7},{4,5,8}}
{{1,2,3,4,7},{5,6,8}}=>{{1,2,3,4,6,7},{5,8}}
{{1,2,4,5,6},{3,7,8}}=>{{1,2,7,8},{3,4,5,6}}
{{1,2,3,5,6},{4,7,8}}=>{{1,2,3,7,8},{4,5,6}}
{{1,2,3,4,6},{5,7,8}}=>{{1,2,3,4,7,8},{5,6}}
{{1,4,6,7,8},{2,5},{3}}=>{{1,5},{2,4,6,7,8},{3}}
{{1,3,6,7,8},{2,5},{4}}=>{{1,5},{2,3,6,7,8},{4}}
{{1,3,6,7,8},{2,4},{5}}=>{{1,4},{2,3,6,7,8},{5}}
{{1,2,5,7,8},{3,6},{4}}=>{{1,2,6},{3,5,7,8},{4}}
{{1,3,4,7,8},{2,6},{5}}=>{{1,6},{2,3,4,7,8},{5}}
{{1,2,4,7,8},{3,6},{5}}=>{{1,2,6},{3,4,7,8},{5}}
{{1,3,4,7,8},{2,5},{6}}=>{{1,5},{2,3,4,7,8},{6}}
{{1,4,5,6,8},{2,7},{3}}=>{{1,7},{2,4,5,6,8},{3}}
{{1,3,5,6,8},{2,7},{4}}=>{{1,7},{2,3,5,6,8},{4}}
{{1,2,5,6,8},{3,7},{4}}=>{{1,2,7},{3,5,6,8},{4}}
{{1,3,4,6,8},{2,7},{5}}=>{{1,7},{2,3,4,6,8},{5}}
{{1,2,4,6,8},{3,7},{5}}=>{{1,2,7},{3,4,6,8},{5}}
{{1,2,3,6,8},{4,7},{5}}=>{{1,2,3,7},{4,6,8},{5}}
{{1,3,4,5,8},{2,7},{6}}=>{{1,7},{2,3,4,5,8},{6}}
{{1,3,5,6,8},{2,4},{7}}=>{{1,4},{2,3,5,6,8},{7}}
{{1,3,4,6,8},{2,5},{7}}=>{{1,5},{2,3,4,6,8},{7}}
{{1,2,4,6,8},{3,5},{7}}=>{{1,2,5},{3,4,6,8},{7}}
{{1,2,4,5,8},{3,6},{7}}=>{{1,2,6},{3,4,5,8},{7}}
{{1,4,5,6,7},{2,8},{3}}=>{{1,8},{2,4,5,6,7},{3}}
{{1,3,5,6,7},{2,8},{4}}=>{{1,8},{2,3,5,6,7},{4}}
{{1,3,4,6,7},{2,8},{5}}=>{{1,8},{2,3,4,6,7},{5}}
{{1,2,4,6,7},{3,8},{5}}=>{{1,2,8},{3,4,6,7},{5}}
{{1,3,4,5,7},{2,8},{6}}=>{{1,8},{2,3,4,5,7},{6}}
{{1,2,4,5,7},{3,8},{6}}=>{{1,2,8},{3,4,5,7},{6}}
{{1,2,3,5,7},{4,8},{6}}=>{{1,2,3,8},{4,5,7},{6}}
{{1,3,4,5,6},{2,8},{7}}=>{{1,8},{2,3,4,5,6},{7}}
{{1,2,4,5,6},{3,8},{7}}=>{{1,2,8},{3,4,5,6},{7}}
{{1,2,3,5,6},{4,8},{7}}=>{{1,2,3,8},{4,5,6},{7}}
{{1,2,3,4,6},{5,8},{7}}=>{{1,2,3,4,8},{5,6},{7}}
{{1,3,5,6,7},{2,4},{8}}=>{{1,4},{2,3,5,6,7},{8}}
{{1,3,4,6,7},{2,5},{8}}=>{{1,5},{2,3,4,6,7},{8}}
{{1,2,4,6,7},{3,5},{8}}=>{{1,2,5},{3,4,6,7},{8}}
{{1,3,4,5,7},{2,6},{8}}=>{{1,6},{2,3,4,5,7},{8}}
{{1,2,4,5,7},{3,6},{8}}=>{{1,2,6},{3,4,5,7},{8}}
{{1,2,3,5,7},{4,6},{8}}=>{{1,2,3,6},{4,5,7},{8}}
{{1,2,3,5,6},{4,7},{8}}=>{{1,2,3,7},{4,5,6},{8}}
{{1,2,3,4,6},{5,7},{8}}=>{{1,2,3,4,7},{5,6},{8}}
{{1,3,5,7},{2,4,6,8}}=>{{1,4,5,8},{2,3,6,7}}
{{1,2,5,7},{3,4,6,8}}=>{{1,2,4,5,8},{3,6,7}}
{{1,3,4,7},{2,5,6,8}}=>{{1,5,8},{2,3,4,6,7}}
{{1,2,4,7},{3,5,6,8}}=>{{1,2,5,8},{3,4,6,7}}
{{1,2,3,7},{4,5,6,8}}=>{{1,2,3,5,8},{4,6,7}}
{{1,3,5,6},{2,4,7,8}}=>{{1,4,5,6},{2,3,7,8}}
{{1,2,5,6},{3,4,7,8}}=>{{1,2,4,5,6},{3,7,8}}
{{1,3,4,6},{2,5,7,8}}=>{{1,5,6},{2,3,4,7,8}}
{{1,2,4,6},{3,5,7,8}}=>{{1,2,5,6},{3,4,7,8}}
{{1,2,3,6},{4,5,7,8}}=>{{1,2,3,5,6},{4,7,8}}
{{1,3,4,5},{2,6,7,8}}=>{{1,6,7,8},{2,3,4,5}}
{{1,2,4,5},{3,6,7,8}}=>{{1,2,6,7,8},{3,4,5}}
{{1,2,3,5},{4,6,7,8}}=>{{1,2,3,6,7,8},{4,5}}
{{1,4,6,8},{2,5,7},{3}}=>{{1,5,6,8},{2,4,7},{3}}
{{1,3,6,8},{2,5,7},{4}}=>{{1,5,6,8},{2,3,7},{4}}
{{1,2,6,8},{3,5,7},{4}}=>{{1,2,5,6,8},{3,7},{4}}
{{1,3,6,8},{2,4,7},{5}}=>{{1,4,6,8},{2,3,7},{5}}
{{1,2,6,8},{3,4,7},{5}}=>{{1,2,4,6,8},{3,7},{5}}
{{1,4,5,8},{2,6,7},{3}}=>{{1,6,8},{2,4,5,7},{3}}
{{1,2,5,8},{3,6,7},{4}}=>{{1,2,6,8},{3,5,7},{4}}
{{1,3,4,8},{2,6,7},{5}}=>{{1,6,8},{2,3,4,7},{5}}
{{1,3,5,8},{2,4,7},{6}}=>{{1,4,5,8},{2,3,7},{6}}
{{1,2,5,8},{3,4,7},{6}}=>{{1,2,4,5,8},{3,7},{6}}
{{1,3,4,8},{2,5,7},{6}}=>{{1,5,8},{2,3,4,7},{6}}
{{1,2,4,8},{3,5,7},{6}}=>{{1,2,5,8},{3,4,7},{6}}
{{1,2,5,8},{3,4,6},{7}}=>{{1,2,4,5,8},{3,6},{7}}
{{1,2,4,8},{3,5,6},{7}}=>{{1,2,5,8},{3,4,6},{7}}
{{1,2,6,7},{3,5,8},{4}}=>{{1,2,5,6,7},{3,8},{4}}
{{1,3,6,7},{2,4,8},{5}}=>{{1,4,6,7},{2,3,8},{5}}
{{1,4,5,7},{2,6,8},{3}}=>{{1,6,7},{2,4,5,8},{3}}
{{1,3,5,7},{2,6,8},{4}}=>{{1,6,7},{2,3,5,8},{4}}
{{1,3,4,7},{2,6,8},{5}}=>{{1,6,7},{2,3,4,8},{5}}
{{1,2,4,7},{3,6,8},{5}}=>{{1,2,6,7},{3,4,8},{5}}
{{1,3,5,7},{2,4,8},{6}}=>{{1,4,5,7},{2,3,8},{6}}
{{1,2,5,7},{3,4,8},{6}}=>{{1,2,4,5,7},{3,8},{6}}
{{1,3,4,7},{2,5,8},{6}}=>{{1,5,7},{2,3,4,8},{6}}
{{1,2,4,7},{3,5,8},{6}}=>{{1,2,5,7},{3,4,8},{6}}
{{1,2,5,6},{3,7,8},{4}}=>{{1,2,7,8},{3,5,6},{4}}
{{1,3,4,5},{2,7,8},{6}}=>{{1,7,8},{2,3,4,5},{6}}
{{1,2,4,5},{3,7,8},{6}}=>{{1,2,7,8},{3,4,5},{6}}
{{1,3,5,6},{2,4,8},{7}}=>{{1,4,5,6},{2,3,8},{7}}
{{1,2,5,6},{3,4,8},{7}}=>{{1,2,4,5,6},{3,8},{7}}
{{1,3,4,6},{2,5,8},{7}}=>{{1,5,6},{2,3,4,8},{7}}
{{1,2,4,6},{3,5,8},{7}}=>{{1,2,5,6},{3,4,8},{7}}
{{1,2,3,6},{4,5,8},{7}}=>{{1,2,3,5,6},{4,8},{7}}
{{1,2,4,5},{3,6,8},{7}}=>{{1,2,6,8},{3,4,5},{7}}
{{1,3,5,7},{2,4,6},{8}}=>{{1,4,5,7},{2,3,6},{8}}
{{1,2,5,6},{3,4,7},{8}}=>{{1,2,4,5,6},{3,7},{8}}
{{1,3,4,6},{2,5,7},{8}}=>{{1,5,6},{2,3,4,7},{8}}
{{1,2,4,6},{3,5,7},{8}}=>{{1,2,5,6},{3,4,7},{8}}
{{1,2,3,5},{4,6,7},{8}}=>{{1,2,3,6,7},{4,5},{8}}
{{1,4,7,8},{2,5},{3,6}}=>{{1,6},{2,5},{3,4,7,8}}
{{1,2,7,8},{3,5},{4,6}}=>{{1,2,6},{3,5},{4,7,8}}
{{1,4,6,8},{2,5},{3,7}}=>{{1,7},{2,5},{3,4,6,8}}
{{1,2,6,8},{3,5},{4,7}}=>{{1,2,7},{3,5},{4,6,8}}
{{1,3,6,8},{2,4},{5,7}}=>{{1,4},{2,3,7},{5,6,8}}
{{1,4,5,8},{2,6},{3,7}}=>{{1,7},{2,6},{3,4,5,8}}
{{1,3,5,8},{2,6},{4,7}}=>{{1,7},{2,3,6},{4,5,8}}
{{1,2,5,8},{3,6},{4,7}}=>{{1,2,7},{3,6},{4,5,8}}
{{1,3,4,8},{2,6},{5,7}}=>{{1,7},{2,3,4,6},{5,8}}
{{1,2,4,8},{3,6},{5,7}}=>{{1,2,7},{3,4,6},{5,8}}
{{1,2,3,8},{4,6},{5,7}}=>{{1,2,3,7},{4,6},{5,8}}
{{1,3,4,8},{2,5},{6,7}}=>{{1,5},{2,3,4,7},{6,8}}
{{1,2,4,8},{3,5},{6,7}}=>{{1,2,5},{3,4,7},{6,8}}
{{1,4,6,7},{2,5},{3,8}}=>{{1,8},{2,5},{3,4,6,7}}
{{1,3,6,7},{2,5},{4,8}}=>{{1,8},{2,3,5},{4,6,7}}
{{1,3,6,7},{2,4},{5,8}}=>{{1,4},{2,3,8},{5,6,7}}
{{1,2,6,7},{3,4},{5,8}}=>{{1,2,4},{3,8},{5,6,7}}
{{1,4,5,7},{2,6},{3,8}}=>{{1,8},{2,6},{3,4,5,7}}
{{1,3,5,7},{2,6},{4,8}}=>{{1,8},{2,3,6},{4,5,7}}
{{1,3,4,7},{2,6},{5,8}}=>{{1,8},{2,3,4,6},{5,7}}
{{1,2,4,7},{3,6},{5,8}}=>{{1,2,8},{3,4,6},{5,7}}
{{1,2,3,7},{4,6},{5,8}}=>{{1,2,3,8},{4,6},{5,7}}
{{1,3,5,7},{2,4},{6,8}}=>{{1,4},{2,3,5,8},{6,7}}
{{1,2,5,7},{3,4},{6,8}}=>{{1,2,4},{3,5,8},{6,7}}
{{1,3,4,7},{2,5},{6,8}}=>{{1,5},{2,3,4,8},{6,7}}
{{1,2,4,7},{3,5},{6,8}}=>{{1,2,5},{3,4,8},{6,7}}
{{1,4,5,6},{2,7},{3,8}}=>{{1,8},{2,7},{3,4,5,6}}
{{1,3,5,6},{2,7},{4,8}}=>{{1,8},{2,3,7},{4,5,6}}
{{1,2,5,6},{3,7},{4,8}}=>{{1,2,8},{3,7},{4,5,6}}
{{1,3,4,6},{2,7},{5,8}}=>{{1,8},{2,3,4,7},{5,6}}
{{1,2,4,6},{3,7},{5,8}}=>{{1,2,8},{3,4,7},{5,6}}
{{1,2,3,6},{4,7},{5,8}}=>{{1,2,3,8},{4,7},{5,6}}
{{1,2,4,5},{3,7},{6,8}}=>{{1,2,8},{3,4,5},{6,7}}
{{1,2,3,5},{4,7},{6,8}}=>{{1,2,3,8},{4,5},{6,7}}
{{1,2,3,4},{5,7},{6,8}}=>{{1,2,3,4},{5,8},{6,7}}
{{1,3,5,6},{2,4},{7,8}}=>{{1,4},{2,3,5,6},{7,8}}
{{1,3,4,6},{2,5},{7,8}}=>{{1,5},{2,3,4,6},{7,8}}
{{1,2,4,6},{3,5},{7,8}}=>{{1,2,5},{3,4,6},{7,8}}
{{1,2,4,5},{3,6},{7,8}}=>{{1,2,6},{3,4,5},{7,8}}
{{1,2,3,5},{4,6},{7,8}}=>{{1,2,3,6},{4,5},{7,8}}
{{1,5,7,8},{2,6},{3},{4}}=>{{1,6},{2,5,7,8},{3},{4}}
{{1,4,7,8},{2,6},{3},{5}}=>{{1,6},{2,4,7,8},{3},{5}}
{{1,3,7,8},{2,6},{4},{5}}=>{{1,6},{2,3,7,8},{4},{5}}
{{1,4,7,8},{2,5},{3},{6}}=>{{1,5},{2,4,7,8},{3},{6}}
{{1,3,7,8},{2,5},{4},{6}}=>{{1,5},{2,3,7,8},{4},{6}}
{{1,3,7,8},{2,4},{5},{6}}=>{{1,4},{2,3,7,8},{5},{6}}
{{1,5,6,8},{2,7},{3},{4}}=>{{1,7},{2,5,6,8},{3},{4}}
{{1,4,6,8},{2,7},{3},{5}}=>{{1,7},{2,4,6,8},{3},{5}}
{{1,3,6,8},{2,7},{4},{5}}=>{{1,7},{2,3,6,8},{4},{5}}
{{1,2,6,8},{3,7},{4},{5}}=>{{1,2,7},{3,6,8},{4},{5}}
{{1,4,5,8},{2,7},{3},{6}}=>{{1,7},{2,4,5,8},{3},{6}}
{{1,3,5,8},{2,7},{4},{6}}=>{{1,7},{2,3,5,8},{4},{6}}
{{1,2,5,8},{3,7},{4},{6}}=>{{1,2,7},{3,5,8},{4},{6}}
{{1,3,4,8},{2,7},{5},{6}}=>{{1,7},{2,3,4,8},{5},{6}}
{{1,2,4,8},{3,7},{5},{6}}=>{{1,2,7},{3,4,8},{5},{6}}
{{1,4,6,8},{2,5},{3},{7}}=>{{1,5},{2,4,6,8},{3},{7}}
{{1,3,6,8},{2,5},{4},{7}}=>{{1,5},{2,3,6,8},{4},{7}}
{{1,3,6,8},{2,4},{5},{7}}=>{{1,4},{2,3,6,8},{5},{7}}
{{1,4,5,8},{2,6},{3},{7}}=>{{1,6},{2,4,5,8},{3},{7}}
{{1,3,5,8},{2,6},{4},{7}}=>{{1,6},{2,3,5,8},{4},{7}}
{{1,2,5,8},{3,6},{4},{7}}=>{{1,2,6},{3,5,8},{4},{7}}
{{1,3,4,8},{2,6},{5},{7}}=>{{1,6},{2,3,4,8},{5},{7}}
{{1,2,4,8},{3,6},{5},{7}}=>{{1,2,6},{3,4,8},{5},{7}}
{{1,3,5,8},{2,4},{6},{7}}=>{{1,4},{2,3,5,8},{6},{7}}
{{1,3,4,8},{2,5},{6},{7}}=>{{1,5},{2,3,4,8},{6},{7}}
{{1,2,4,8},{3,5},{6},{7}}=>{{1,2,5},{3,4,8},{6},{7}}
{{1,5,6,7},{2,8},{3},{4}}=>{{1,8},{2,5,6,7},{3},{4}}
{{1,4,6,7},{2,8},{3},{5}}=>{{1,8},{2,4,6,7},{3},{5}}
{{1,3,6,7},{2,8},{4},{5}}=>{{1,8},{2,3,6,7},{4},{5}}
{{1,2,6,7},{3,8},{4},{5}}=>{{1,2,8},{3,6,7},{4},{5}}
{{1,4,5,7},{2,8},{3},{6}}=>{{1,8},{2,4,5,7},{3},{6}}
{{1,3,5,7},{2,8},{4},{6}}=>{{1,8},{2,3,5,7},{4},{6}}
{{1,2,5,7},{3,8},{4},{6}}=>{{1,2,8},{3,5,7},{4},{6}}
{{1,3,4,7},{2,8},{5},{6}}=>{{1,8},{2,3,4,7},{5},{6}}
{{1,2,4,7},{3,8},{5},{6}}=>{{1,2,8},{3,4,7},{5},{6}}
{{1,2,3,7},{4,8},{5},{6}}=>{{1,2,3,8},{4,7},{5},{6}}
{{1,4,5,6},{2,8},{3},{7}}=>{{1,8},{2,4,5,6},{3},{7}}
{{1,3,5,6},{2,8},{4},{7}}=>{{1,8},{2,3,5,6},{4},{7}}
{{1,2,5,6},{3,8},{4},{7}}=>{{1,2,8},{3,5,6},{4},{7}}
{{1,3,4,6},{2,8},{5},{7}}=>{{1,8},{2,3,4,6},{5},{7}}
{{1,2,4,6},{3,8},{5},{7}}=>{{1,2,8},{3,4,6},{5},{7}}
{{1,2,3,6},{4,8},{5},{7}}=>{{1,2,3,8},{4,6},{5},{7}}
{{1,3,4,5},{2,8},{6},{7}}=>{{1,8},{2,3,4,5},{6},{7}}
{{1,2,4,5},{3,8},{6},{7}}=>{{1,2,8},{3,4,5},{6},{7}}
{{1,2,3,5},{4,8},{6},{7}}=>{{1,2,3,8},{4,5},{6},{7}}
{{1,4,6,7},{2,5},{3},{8}}=>{{1,5},{2,4,6,7},{3},{8}}
{{1,3,6,7},{2,5},{4},{8}}=>{{1,5},{2,3,6,7},{4},{8}}
{{1,3,6,7},{2,4},{5},{8}}=>{{1,4},{2,3,6,7},{5},{8}}
{{1,4,5,7},{2,6},{3},{8}}=>{{1,6},{2,4,5,7},{3},{8}}
{{1,3,5,7},{2,6},{4},{8}}=>{{1,6},{2,3,5,7},{4},{8}}
{{1,2,5,7},{3,6},{4},{8}}=>{{1,2,6},{3,5,7},{4},{8}}
{{1,3,4,7},{2,6},{5},{8}}=>{{1,6},{2,3,4,7},{5},{8}}
{{1,2,4,7},{3,6},{5},{8}}=>{{1,2,6},{3,4,7},{5},{8}}
{{1,3,5,7},{2,4},{6},{8}}=>{{1,4},{2,3,5,7},{6},{8}}
{{1,3,4,7},{2,5},{6},{8}}=>{{1,5},{2,3,4,7},{6},{8}}
{{1,2,4,7},{3,5},{6},{8}}=>{{1,2,5},{3,4,7},{6},{8}}
{{1,4,5,6},{2,7},{3},{8}}=>{{1,7},{2,4,5,6},{3},{8}}
{{1,3,5,6},{2,7},{4},{8}}=>{{1,7},{2,3,5,6},{4},{8}}
{{1,2,5,6},{3,7},{4},{8}}=>{{1,2,7},{3,5,6},{4},{8}}
{{1,3,4,6},{2,7},{5},{8}}=>{{1,7},{2,3,4,6},{5},{8}}
{{1,2,4,6},{3,7},{5},{8}}=>{{1,2,7},{3,4,6},{5},{8}}
{{1,2,3,6},{4,7},{5},{8}}=>{{1,2,3,7},{4,6},{5},{8}}
{{1,3,4,5},{2,7},{6},{8}}=>{{1,7},{2,3,4,5},{6},{8}}
{{1,2,4,5},{3,7},{6},{8}}=>{{1,2,7},{3,4,5},{6},{8}}
{{1,2,3,5},{4,7},{6},{8}}=>{{1,2,3,7},{4,5},{6},{8}}
{{1,3,5,6},{2,4},{7},{8}}=>{{1,4},{2,3,5,6},{7},{8}}
{{1,3,4,6},{2,5},{7},{8}}=>{{1,5},{2,3,4,6},{7},{8}}
{{1,2,4,6},{3,5},{7},{8}}=>{{1,2,5},{3,4,6},{7},{8}}
{{1,3,4,5},{2,6},{7},{8}}=>{{1,6},{2,3,4,5},{7},{8}}
{{1,2,4,5},{3,6},{7},{8}}=>{{1,2,6},{3,4,5},{7},{8}}
{{1,2,3,5},{4,6},{7},{8}}=>{{1,2,3,6},{4,5},{7},{8}}
{{1,4,7},{2,5,8},{3,6}}=>{{1,6},{2,5,7},{3,4,8}}
{{1,3,7},{2,4,8},{5,6}}=>{{1,4,8},{2,3,6},{5,7}}
{{1,4,6},{2,5,8},{3,7}}=>{{1,7},{2,5,6},{3,4,8}}
{{1,3,6},{2,5,8},{4,7}}=>{{1,7},{2,3,5,6},{4,8}}
{{1,2,6},{3,5,8},{4,7}}=>{{1,2,7},{3,5,6},{4,8}}
{{1,2,6},{3,4,8},{5,7}}=>{{1,2,4,8},{3,7},{5,6}}
{{1,4,5},{2,6,8},{3,7}}=>{{1,7},{2,6,8},{3,4,5}}
{{1,3,5},{2,6,8},{4,7}}=>{{1,7},{2,3,6,8},{4,5}}
{{1,2,5},{3,6,8},{4,7}}=>{{1,2,7},{3,6,8},{4,5}}
{{1,3,4},{2,6,8},{5,7}}=>{{1,7},{2,3,4},{5,6,8}}
{{1,3,5},{2,4,8},{6,7}}=>{{1,4,5},{2,3,7},{6,8}}
{{1,2,5},{3,4,8},{6,7}}=>{{1,2,4,5},{3,7},{6,8}}
{{1,3,4},{2,5,8},{6,7}}=>{{1,5,7},{2,3,4},{6,8}}
{{1,2,4},{3,5,8},{6,7}}=>{{1,2,5,7},{3,4},{6,8}}
{{1,4,6},{2,5,7},{3,8}}=>{{1,8},{2,5,6},{3,4,7}}
{{1,3,6},{2,5,7},{4,8}}=>{{1,8},{2,3,5,6},{4,7}}
{{1,3,6},{2,4,7},{5,8}}=>{{1,4,7},{2,3,8},{5,6}}
{{1,3,5},{2,6,7},{4,8}}=>{{1,8},{2,3,6,7},{4,5}}
{{1,3,5},{2,4,7},{6,8}}=>{{1,4,5},{2,3,8},{6,7}}
{{1,2,4},{3,5,7},{6,8}}=>{{1,2,5,8},{3,4},{6,7}}
{{1,2,3},{4,5,7},{6,8}}=>{{1,2,3},{4,5,8},{6,7}}
{{1,2,5},{3,4,6},{7,8}}=>{{1,2,4,5},{3,6},{7,8}}
{{1,3,4},{2,5,6},{7,8}}=>{{1,5,6},{2,3,4},{7,8}}
{{1,2,4},{3,5,6},{7,8}}=>{{1,2,5,6},{3,4},{7,8}}
{{1,5,7},{2,6,8},{3},{4}}=>{{1,6,7},{2,5,8},{3},{4}}
{{1,4,7},{2,6,8},{3},{5}}=>{{1,6,7},{2,4,8},{3},{5}}
{{1,3,7},{2,6,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}
{{1,2,7},{3,6,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}
{{1,4,7},{2,5,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}
{{1,3,7},{2,5,8},{4},{6}}=>{{1,5,7},{2,3,8},{4},{6}}
{{1,2,7},{3,5,8},{4},{6}}=>{{1,2,5,7},{3,8},{4},{6}}
{{1,3,7},{2,4,8},{5},{6}}=>{{1,4,7},{2,3,8},{5},{6}}
{{1,2,7},{3,4,8},{5},{6}}=>{{1,2,4,7},{3,8},{5},{6}}
{{1,5,6},{2,7,8},{3},{4}}=>{{1,7,8},{2,5,6},{3},{4}}
{{1,4,6},{2,7,8},{3},{5}}=>{{1,7,8},{2,4,6},{3},{5}}
{{1,3,6},{2,7,8},{4},{5}}=>{{1,7,8},{2,3,6},{4},{5}}
{{1,2,6},{3,7,8},{4},{5}}=>{{1,2,7,8},{3,6},{4},{5}}
{{1,4,5},{2,7,8},{3},{6}}=>{{1,7,8},{2,4,5},{3},{6}}
{{1,3,5},{2,7,8},{4},{6}}=>{{1,7,8},{2,3,5},{4},{6}}
{{1,2,5},{3,7,8},{4},{6}}=>{{1,2,7,8},{3,5},{4},{6}}
{{1,3,4},{2,7,8},{5},{6}}=>{{1,7,8},{2,3,4},{5},{6}}
{{1,2,4},{3,7,8},{5},{6}}=>{{1,2,7,8},{3,4},{5},{6}}
{{1,4,6},{2,5,8},{3},{7}}=>{{1,5,6},{2,4,8},{3},{7}}
{{1,3,6},{2,5,8},{4},{7}}=>{{1,5,6},{2,3,8},{4},{7}}
{{1,2,6},{3,5,8},{4},{7}}=>{{1,2,5,6},{3,8},{4},{7}}
{{1,3,6},{2,4,8},{5},{7}}=>{{1,4,6},{2,3,8},{5},{7}}
{{1,2,6},{3,4,8},{5},{7}}=>{{1,2,4,6},{3,8},{5},{7}}
{{1,4,5},{2,6,8},{3},{7}}=>{{1,6,8},{2,4,5},{3},{7}}
{{1,3,5},{2,6,8},{4},{7}}=>{{1,6,8},{2,3,5},{4},{7}}
{{1,2,5},{3,6,8},{4},{7}}=>{{1,2,6,8},{3,5},{4},{7}}
{{1,3,4},{2,6,8},{5},{7}}=>{{1,6,8},{2,3,4},{5},{7}}
{{1,2,4},{3,6,8},{5},{7}}=>{{1,2,6,8},{3,4},{5},{7}}
{{1,3,5},{2,4,8},{6},{7}}=>{{1,4,5},{2,3,8},{6},{7}}
{{1,2,5},{3,4,8},{6},{7}}=>{{1,2,4,5},{3,8},{6},{7}}
{{1,3,4},{2,5,8},{6},{7}}=>{{1,5,8},{2,3,4},{6},{7}}
{{1,2,4},{3,5,8},{6},{7}}=>{{1,2,5,8},{3,4},{6},{7}}
{{1,4,6},{2,5,7},{3},{8}}=>{{1,5,6},{2,4,7},{3},{8}}
{{1,3,6},{2,5,7},{4},{8}}=>{{1,5,6},{2,3,7},{4},{8}}
{{1,2,6},{3,5,7},{4},{8}}=>{{1,2,5,6},{3,7},{4},{8}}
{{1,3,6},{2,4,7},{5},{8}}=>{{1,4,6},{2,3,7},{5},{8}}
{{1,2,6},{3,4,7},{5},{8}}=>{{1,2,4,6},{3,7},{5},{8}}
{{1,4,5},{2,6,7},{3},{8}}=>{{1,6,7},{2,4,5},{3},{8}}
{{1,3,5},{2,6,7},{4},{8}}=>{{1,6,7},{2,3,5},{4},{8}}
{{1,2,5},{3,6,7},{4},{8}}=>{{1,2,6,7},{3,5},{4},{8}}
{{1,3,4},{2,6,7},{5},{8}}=>{{1,6,7},{2,3,4},{5},{8}}
{{1,2,4},{3,6,7},{5},{8}}=>{{1,2,6,7},{3,4},{5},{8}}
{{1,3,5},{2,4,7},{6},{8}}=>{{1,4,5},{2,3,7},{6},{8}}
{{1,2,5},{3,4,7},{6},{8}}=>{{1,2,4,5},{3,7},{6},{8}}
{{1,3,4},{2,5,7},{6},{8}}=>{{1,5,7},{2,3,4},{6},{8}}
{{1,2,4},{3,5,7},{6},{8}}=>{{1,2,5,7},{3,4},{6},{8}}
{{1,3,5},{2,4,6},{7},{8}}=>{{1,4,5},{2,3,6},{7},{8}}
{{1,2,5},{3,4,6},{7},{8}}=>{{1,2,4,5},{3,6},{7},{8}}
{{1,5,8},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5,8},{4}}
{{1,4,8},{2,6},{3,7},{5}}=>{{1,7},{2,6},{3,4,8},{5}}
{{1,3,8},{2,6},{4,7},{5}}=>{{1,7},{2,3,6},{4,8},{5}}
{{1,2,8},{3,6},{4,7},{5}}=>{{1,2,7},{3,6},{4,8},{5}}
{{1,4,8},{2,5},{3,7},{6}}=>{{1,7},{2,5},{3,4,8},{6}}
{{1,3,8},{2,5},{4,7},{6}}=>{{1,7},{2,3,5},{4,8},{6}}
{{1,2,8},{3,5},{4,7},{6}}=>{{1,2,7},{3,5},{4,8},{6}}
{{1,3,8},{2,4},{5,7},{6}}=>{{1,4},{2,3,7},{5,8},{6}}
{{1,4,8},{2,5},{3,6},{7}}=>{{1,6},{2,5},{3,4,8},{7}}
{{1,3,8},{2,5},{4,6},{7}}=>{{1,6},{2,3,5},{4,8},{7}}
{{1,2,8},{3,5},{4,6},{7}}=>{{1,2,6},{3,5},{4,8},{7}}
{{1,3,8},{2,4},{5,6},{7}}=>{{1,4},{2,3,6},{5,8},{7}}
{{1,5,7},{2,6},{3,8},{4}}=>{{1,8},{2,6},{3,5,7},{4}}
{{1,4,7},{2,6},{3,8},{5}}=>{{1,8},{2,6},{3,4,7},{5}}
{{1,3,7},{2,6},{4,8},{5}}=>{{1,8},{2,3,6},{4,7},{5}}
{{1,2,7},{3,6},{4,8},{5}}=>{{1,2,8},{3,6},{4,7},{5}}
{{1,4,7},{2,5},{3,8},{6}}=>{{1,8},{2,5},{3,4,7},{6}}
{{1,3,7},{2,5},{4,8},{6}}=>{{1,8},{2,3,5},{4,7},{6}}
{{1,2,7},{3,5},{4,8},{6}}=>{{1,2,8},{3,5},{4,7},{6}}
{{1,3,7},{2,4},{5,8},{6}}=>{{1,4},{2,3,8},{5,7},{6}}
{{1,2,7},{3,4},{5,8},{6}}=>{{1,2,4},{3,8},{5,7},{6}}
{{1,5,6},{2,7},{3,8},{4}}=>{{1,8},{2,7},{3,5,6},{4}}
{{1,4,6},{2,7},{3,8},{5}}=>{{1,8},{2,7},{3,4,6},{5}}
{{1,3,6},{2,7},{4,8},{5}}=>{{1,8},{2,3,7},{4,6},{5}}
{{1,2,6},{3,7},{4,8},{5}}=>{{1,2,8},{3,7},{4,6},{5}}
{{1,4,5},{2,7},{3,8},{6}}=>{{1,8},{2,7},{3,4,5},{6}}
{{1,3,5},{2,7},{4,8},{6}}=>{{1,8},{2,3,7},{4,5},{6}}
{{1,2,5},{3,7},{4,8},{6}}=>{{1,2,8},{3,7},{4,5},{6}}
{{1,3,4},{2,7},{5,8},{6}}=>{{1,8},{2,3,4},{5,7},{6}}
{{1,2,4},{3,7},{5,8},{6}}=>{{1,2,8},{3,4},{5,7},{6}}
{{1,2,3},{4,7},{5,8},{6}}=>{{1,2,3},{4,8},{5,7},{6}}
{{1,4,6},{2,5},{3,8},{7}}=>{{1,8},{2,5},{3,4,6},{7}}
{{1,3,6},{2,5},{4,8},{7}}=>{{1,8},{2,3,5},{4,6},{7}}
{{1,2,6},{3,5},{4,8},{7}}=>{{1,2,8},{3,5},{4,6},{7}}
{{1,3,6},{2,4},{5,8},{7}}=>{{1,4},{2,3,8},{5,6},{7}}
{{1,2,6},{3,4},{5,8},{7}}=>{{1,2,4},{3,8},{5,6},{7}}
{{1,4,5},{2,6},{3,8},{7}}=>{{1,8},{2,6},{3,4,5},{7}}
{{1,3,5},{2,6},{4,8},{7}}=>{{1,8},{2,3,6},{4,5},{7}}
{{1,2,5},{3,6},{4,8},{7}}=>{{1,2,8},{3,6},{4,5},{7}}
{{1,3,4},{2,6},{5,8},{7}}=>{{1,8},{2,3,4},{5,6},{7}}
{{1,2,4},{3,6},{5,8},{7}}=>{{1,2,8},{3,4},{5,6},{7}}
{{1,2,3},{4,6},{5,8},{7}}=>{{1,2,3},{4,8},{5,6},{7}}
{{1,3,5},{2,4},{6,8},{7}}=>{{1,4},{2,3,5},{6,8},{7}}
{{1,3,4},{2,5},{6,8},{7}}=>{{1,5},{2,3,4},{6,8},{7}}
{{1,2,4},{3,5},{6,8},{7}}=>{{1,2,5},{3,4},{6,8},{7}}
{{1,4,7},{2,5},{3,6},{8}}=>{{1,6},{2,5},{3,4,7},{8}}
{{1,3,7},{2,5},{4,6},{8}}=>{{1,6},{2,3,5},{4,7},{8}}
{{1,2,7},{3,5},{4,6},{8}}=>{{1,2,6},{3,5},{4,7},{8}}
{{1,3,7},{2,4},{5,6},{8}}=>{{1,4},{2,3,6},{5,7},{8}}
{{1,4,6},{2,5},{3,7},{8}}=>{{1,7},{2,5},{3,4,6},{8}}
{{1,3,6},{2,5},{4,7},{8}}=>{{1,7},{2,3,5},{4,6},{8}}
{{1,2,6},{3,5},{4,7},{8}}=>{{1,2,7},{3,5},{4,6},{8}}
{{1,3,6},{2,4},{5,7},{8}}=>{{1,4},{2,3,7},{5,6},{8}}
{{1,2,6},{3,4},{5,7},{8}}=>{{1,2,4},{3,7},{5,6},{8}}
{{1,4,5},{2,6},{3,7},{8}}=>{{1,7},{2,6},{3,4,5},{8}}
{{1,3,5},{2,6},{4,7},{8}}=>{{1,7},{2,3,6},{4,5},{8}}
{{1,2,5},{3,6},{4,7},{8}}=>{{1,2,7},{3,6},{4,5},{8}}
{{1,3,4},{2,6},{5,7},{8}}=>{{1,7},{2,3,4},{5,6},{8}}
{{1,2,4},{3,6},{5,7},{8}}=>{{1,2,7},{3,4},{5,6},{8}}
{{1,2,3},{4,6},{5,7},{8}}=>{{1,2,3},{4,7},{5,6},{8}}
{{1,3,5},{2,4},{6,7},{8}}=>{{1,4},{2,3,5},{6,7},{8}}
{{1,3,4},{2,5},{6,7},{8}}=>{{1,5},{2,3,4},{6,7},{8}}
{{1,2,4},{3,5},{6,7},{8}}=>{{1,2,5},{3,4},{6,7},{8}}
{{1,6,8},{2,7},{3},{4},{5}}=>{{1,7},{2,6,8},{3},{4},{5}}
{{1,5,8},{2,7},{3},{4},{6}}=>{{1,7},{2,5,8},{3},{4},{6}}
{{1,4,8},{2,7},{3},{5},{6}}=>{{1,7},{2,4,8},{3},{5},{6}}
{{1,5,8},{2,6},{3},{4},{7}}=>{{1,6},{2,5,8},{3},{4},{7}}
{{1,3,8},{2,4},{5},{6},{7}}=>{{1,4},{2,3,8},{5},{6},{7}}
{{1,6,7},{2,8},{3},{4},{5}}=>{{1,8},{2,6,7},{3},{4},{5}}
{{1,3,4},{2,8},{5},{6},{7}}=>{{1,8},{2,3,4},{5},{6},{7}}
{{1,2,4},{3,8},{5},{6},{7}}=>{{1,2,8},{3,4},{5},{6},{7}}
{{1,4,7},{2,6},{3},{5},{8}}=>{{1,6},{2,4,7},{3},{5},{8}}
{{1,4,7},{2,5},{3},{6},{8}}=>{{1,5},{2,4,7},{3},{6},{8}}
{{1,3,7},{2,5},{4},{6},{8}}=>{{1,5},{2,3,7},{4},{6},{8}}
{{1,3,7},{2,4},{5},{6},{8}}=>{{1,4},{2,3,7},{5},{6},{8}}
{{1,3,5},{2,4},{6},{7},{8}}=>{{1,4},{2,3,5},{6},{7},{8}}
{{1,2,4},{3,5},{6},{7},{8}}=>{{1,2,5},{3,4},{6},{7},{8}}
{{1,6},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}
{{1,5},{2,7},{3,8},{4},{6}}=>{{1,8},{2,7},{3,5},{4},{6}}
{{1,4},{2,6},{3,8},{5},{7}}=>{{1,8},{2,6},{3,4},{5},{7}}
{{1,2},{3,5},{4,8},{6},{7}}=>{{1,2},{3,8},{4,5},{6},{7}}
{{1,5},{2,6},{3,7},{4},{8}}=>{{1,7},{2,6},{3,5},{4},{8}}
{{1,3},{2,6},{4,7},{5},{8}}=>{{1,7},{2,3},{4,6},{5},{8}}
{{1,2},{3,6},{4,7},{5},{8}}=>{{1,2},{3,7},{4,6},{5},{8}}
{{1,3},{2,5},{4,7},{6},{8}}=>{{1,7},{2,3},{4,5},{6},{8}}
{{1,4},{2,5},{3,6},{7},{8}}=>{{1,6},{2,5},{3,4},{7},{8}}
{{1,3},{2,5},{4,6},{7},{8}}=>{{1,6},{2,3},{4,5},{7},{8}}
{{1,7},{2,8},{3},{4},{5},{6}}=>{{1,8},{2,7},{3},{4},{5},{6}}
{{1,6},{2,8},{3},{4},{5},{7}}=>{{1,8},{2,6},{3},{4},{5},{7}}
{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,8},{2,4},{3},{5},{6},{7}}
{{1,3},{2,8},{4},{5},{6},{7}}=>{{1,8},{2,3},{4},{5},{6},{7}}
{{1,5},{2,6},{3},{4},{7},{8}}=>{{1,6},{2,5},{3},{4},{7},{8}}
{{1,4},{2,6},{3},{5},{7},{8}}=>{{1,6},{2,4},{3},{5},{7},{8}}
{{1,4},{2,5},{3},{6},{7},{8}}=>{{1,5},{2,4},{3},{6},{7},{8}}
{{1,3},{2,4},{5},{6},{7},{8}}=>{{1,4},{2,3},{5},{6},{7},{8}}
{{1,3,5,8},{2},{4,6},{7}}=>{{1,3,6},{2},{4,5,8},{7}}
{{1,3,5,7},{2},{4},{6,8}}=>{{1,3,5,8},{2},{4},{6,7}}
{{1,5,7},{2,4},{3},{6,8}}=>{{1,4},{2,5,8},{3},{6,7}}
{{1,5},{2,4,8},{3},{6,7}}=>{{1,4,5},{2,7},{3},{6,8}}
{{1,5,8},{2,4},{3,6},{7}}=>{{1,6},{2,4},{3,5,8},{7}}
{{1,6,8},{2,4},{3,5},{7}}=>{{1,5},{2,4},{3,6,8},{7}}
{{1},{2,3,5,8},{4,6},{7}}=>{{1},{2,3,6},{4,5,8},{7}}
{{1,5,8},{2,6},{3,4},{7}}=>{{1,4},{2,6},{3,5,8},{7}}
{{1,4,8},{2,6},{3,5},{7}}=>{{1,5},{2,6},{3,4,8},{7}}
{{1,4},{2,5,8},{3},{6,7}}=>{{1,5,7},{2,4},{3},{6,8}}
{{1,4,7},{2,5},{3},{6,8}}=>{{1,5},{2,4,8},{3},{6,7}}
{{1,4},{2},{3,6,7},{5,8}}=>{{1,8},{2},{3,4},{5,6,7}}
{{1,4},{2},{3,6},{5,7,8}}=>{{1,7,8},{2},{3,4},{5,6}}
{{1,4},{2},{3,7},{5,6,8}}=>{{1,6,7},{2},{3,4},{5,8}}
{{1,4},{2},{3,5,8},{6,7}}=>{{1,5,7},{2},{3,4},{6,8}}
{{1,5},{2},{3,4,8},{6,7}}=>{{1,4,5},{2},{3,7},{6,8}}
{{1,2,5},{3},{4,7,8},{6}}=>{{1,2,7,8},{3},{4,5},{6}}
{{1,2,5,7},{3},{4,8},{6}}=>{{1,2,8},{3},{4,5,7},{6}}
{{1},{2,3,5,7},{4},{6,8}}=>{{1},{2,3,5,8},{4},{6,7}}
{{1,5,7},{2},{3,4},{6,8}}=>{{1,4},{2},{3,5,8},{6,7}}
{{1,4,7},{2},{3,5},{6,8}}=>{{1,5},{2},{3,4,8},{6,7}}
{{1,4},{2},{3,8},{5,6,7}}=>{{1,6,8},{2},{3,4},{5,7}}
{{1,4,6},{2},{3,8},{5,7}}=>{{1,7},{2},{3,4,8},{5,6}}
{{1,4,6},{2},{3,7},{5,8}}=>{{1,8},{2},{3,4,7},{5,6}}
{{1},{2,6},{3,4,7},{5,8}}=>{{1},{2,4,7},{3,8},{5,6}}
{{1,6},{2,3,7},{4},{5,8}}=>{{1,3,7},{2,8},{4},{5,6}}
{{1,2},{3,6,7},{4,8},{5}}=>{{1,2},{3,8},{4,6,7},{5}}
{{1,2},{3,6},{4,7,8},{5}}=>{{1,2},{3,7,8},{4,6},{5}}
{{1,6},{2,3},{4},{5,7,8}}=>{{1,3},{2,7,8},{4},{5,6}}
{{1},{2,6},{3,4},{5,7,8}}=>{{1},{2,4},{3,7,8},{5,6}}
{{1},{2,7},{3,4},{5,6,8}}=>{{1},{2,4},{3,6,7},{5,8}}
{{1,7},{2,3},{4},{5,6,8}}=>{{1,3},{2,6,7},{4},{5,8}}
{{1,2},{3,7},{4,6,8},{5}}=>{{1,2},{3,6,7},{4,8},{5}}
{{1,2},{3,5,8},{4,7},{6}}=>{{1,2},{3,7},{4,5,8},{6}}
{{1,7},{2,3,8},{4,5},{6}}=>{{1,3,8},{2,5},{4,7},{6}}
{{1},{2,5},{3,4,8},{6,7}}=>{{1},{2,4,5},{3,7},{6,8}}
{{1},{2,4},{3,5,8},{6,7}}=>{{1},{2,5,7},{3,4},{6,8}}
{{1},{2,4},{3,7},{5,6,8}}=>{{1},{2,6,7},{3,4},{5,8}}
{{1},{2,4},{3,6},{5,7,8}}=>{{1},{2,7,8},{3,4},{5,6}}
{{1},{2,4},{3,6,7},{5,8}}=>{{1},{2,8},{3,4},{5,6,7}}
{{1,3},{2,6,7},{4},{5,8}}=>{{1,8},{2,3},{4},{5,6,7}}
{{1,3},{2,6},{4},{5,7,8}}=>{{1,7,8},{2,3},{4},{5,6}}
{{1,3},{2,7},{4},{5,6,8}}=>{{1,6,7},{2,3},{4},{5,8}}
{{1,3},{2,7,8},{4,5},{6}}=>{{1,5},{2,3},{4,7,8},{6}}
{{1,3,8},{2,4,7},{5},{6}}=>{{1,4,8},{2,3,7},{5},{6}}
{{1,4,8},{2,3,7},{5},{6}}=>{{1,3,4,8},{2,7},{5},{6}}
{{1,4,7},{2,3,8},{5},{6}}=>{{1,3,4,7},{2,8},{5},{6}}
{{1,3,7},{2,8},{4,5},{6}}=>{{1,5},{2,3,8},{4,7},{6}}
{{1,3},{2,8},{4},{5,6,7}}=>{{1,6,8},{2,3},{4},{5,7}}
{{1,3,6},{2,8},{4},{5,7}}=>{{1,7},{2,3,8},{4},{5,6}}
{{1,3,6},{2,7},{4},{5,8}}=>{{1,8},{2,3,7},{4},{5,6}}
{{1},{2,4,6},{3,7},{5,8}}=>{{1},{2,8},{3,4,7},{5,6}}
{{1},{2,4,6},{3,8},{5,7}}=>{{1},{2,7},{3,4,8},{5,6}}
{{1},{2,4},{3,8},{5,6,7}}=>{{1},{2,6,8},{3,4},{5,7}}
{{1},{2,4,7},{3,5},{6,8}}=>{{1},{2,5},{3,4,8},{6,7}}
{{1},{2,5,7},{3,4},{6,8}}=>{{1},{2,4},{3,5,8},{6,7}}
{{1},{2,8},{3,4,6},{5,7}}=>{{1},{2,4,6},{3,7},{5,8}}
{{1,8},{2,3,6},{4},{5,7}}=>{{1,3,6},{2,7},{4},{5,8}}
{{1,2,6},{3,8},{4,7},{5}}=>{{1,2,7},{3,8},{4,6},{5}}
{{1,7},{2,3,6},{4},{5,8}}=>{{1,3,6},{2,8},{4},{5,7}}
{{1},{2,7},{3,4,6},{5,8}}=>{{1},{2,4,6},{3,8},{5,7}}
{{1,2},{3,6,8},{4,7},{5}}=>{{1,2},{3,7},{4,6,8},{5}}
{{1,2},{3,5,7},{4,8},{6}}=>{{1,2},{3,8},{4,5,7},{6}}
{{1,2},{3,7},{4,5,8},{6}}=>{{1,2},{3,5,7},{4,8},{6}}
{{1,4,8},{2,7},{3},{5,6}}=>{{1,6},{2,4,7},{3},{5,8}}
{{1,3,7},{2,8},{4},{5,6}}=>{{1,6},{2,3,8},{4},{5,7}}
{{1,3,7},{2,8},{4,6},{5}}=>{{1,6},{2,3,8},{4,7},{5}}
{{1,3,7},{2},{4,5,8},{6}}=>{{1,3,5,7},{2},{4,8},{6}}
{{1,7},{2,3},{4,5,8},{6}}=>{{1,3},{2,5,7},{4,8},{6}}
{{1,7},{2,3,8},{4,6},{5}}=>{{1,3,8},{2,6},{4,7},{5}}
{{1,7},{2,3,8},{4},{5,6}}=>{{1,3,8},{2,6},{4},{5,7}}
{{1,7,8},{2,5},{3,6},{4}}=>{{1,6},{2,5},{3,7,8},{4}}
{{1,7},{2,4,6,8},{3},{5}}=>{{1,4,8},{2,6,7},{3},{5}}
{{1,7},{2,4,5},{3,8},{6}}=>{{1,8},{2,4,7},{3,5},{6}}
{{1,4,6},{2,5},{3},{7,8}}=>{{1,5},{2,4,6},{3},{7,8}}
{{1,5,7,8},{2},{3,6},{4}}=>{{1,6},{2},{3,5,7,8},{4}}
{{1,5,8},{2,7},{3,6},{4}}=>{{1,6},{2,7},{3,5,8},{4}}
{{1,8},{2,5,7},{3,6},{4}}=>{{1,6},{2,5,8},{3,7},{4}}
{{1,5,8},{2,6,7},{3},{4}}=>{{1,6,8},{2,5,7},{3},{4}}
{{1,4,5,7},{2},{3,8},{6}}=>{{1,8},{2},{3,4,5,7},{6}}
{{1,3,5},{2,6},{4},{7,8}}=>{{1,6},{2,3,5},{4},{7,8}}
{{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,3,8},{4,6},{5}}
{{1,4,6,8},{2},{3,7},{5}}=>{{1,7},{2},{3,4,6,8},{5}}
{{1,8},{2,4,6},{3,7},{5}}=>{{1,7},{2,4,8},{3,6},{5}}
{{1,4,8},{2,5},{3},{6,7}}=>{{1,5},{2,4,7},{3},{6,8}}
{{1,3,5},{2,8},{4},{6,7}}=>{{1,7},{2,3,5},{4},{6,8}}
{{1,5},{2,3,8},{4},{6,7}}=>{{1,3,5},{2,7},{4},{6,8}}
{{1,8},{2,6},{3,4,7},{5}}=>{{1,4,8},{2,7},{3,6},{5}}
{{1,6,8},{2},{3,4,7},{5}}=>{{1,4,6,8},{2},{3,7},{5}}
{{1,6,8},{2,4},{3,7},{5}}=>{{1,7},{2,4},{3,6,8},{5}}
{{1,6},{2,3,8},{4,7},{5}}=>{{1,3,8},{2,7},{4,6},{5}}
{{1,6},{2,3,7,8},{4},{5}}=>{{1,3,6},{2,7,8},{4},{5}}
{{1,5},{2,3,7},{4,8},{6}}=>{{1,3,7},{2,8},{4,5},{6}}
{{1,5},{2,3,6},{4},{7,8}}=>{{1,3,5},{2,6},{4},{7,8}}
{{1,5,7},{2,4},{3,8},{6}}=>{{1,8},{2,4},{3,5,7},{6}}
{{1,6,7},{2,4,8},{3},{5}}=>{{1,4,6,7},{2,8},{3},{5}}
{{1,6,8},{2,5,7},{3},{4}}=>{{1,5,6,8},{2,7},{3},{4}}
{{1,6,8},{2,7},{3,5},{4}}=>{{1,5},{2,7},{3,6,8},{4}}
{{1,6,8},{2,7},{3},{4,5}}=>{{1,5},{2,7},{3},{4,6,8}}
{{1,6,7},{2,8},{3,4},{5}}=>{{1,4},{2,8},{3,6,7},{5}}
{{1,5,7},{2},{3,4,8},{6}}=>{{1,4,5,7},{2},{3,8},{6}}
{{1,7},{2,5},{3,4,8},{6}}=>{{1,4,7},{2,8},{3,5},{6}}
{{1,7},{2,6,8},{3,4},{5}}=>{{1,4},{2,6,7},{3,8},{5}}
{{1,4,8},{2,3,6},{5},{7}}=>{{1,3,4,8},{2,6},{5},{7}}
{{1,5},{2,4,8},{3,7},{6}}=>{{1,7},{2,4,5},{3,8},{6}}
{{1,5},{2,4,7},{3,8},{6}}=>{{1,8},{2,4,5},{3,7},{6}}
{{1,5},{2,4,8},{3,6},{7}}=>{{1,6},{2,4,5},{3,8},{7}}
{{1,6},{2,4,8},{3,5},{7}}=>{{1,5},{2,4,6},{3,8},{7}}
{{1,6},{2,5},{3,4,8},{7}}=>{{1,4,6},{2,8},{3,5},{7}}
{{1,6},{2,3,5},{4,8},{7}}=>{{1,3,5},{2,8},{4,6},{7}}
{{1,5},{2,3,6},{4,8},{7}}=>{{1,3,6},{2,8},{4,5},{7}}
{{1,5},{2,6},{3,4,8},{7}}=>{{1,4,5},{2,8},{3,6},{7}}
{{1,4,8},{2,7},{3,6},{5}}=>{{1,6},{2,7},{3,4,8},{5}}
{{1,4,7},{2,8},{3,6},{5}}=>{{1,6},{2,8},{3,4,7},{5}}
{{1,4,6},{2,8},{3,7},{5}}=>{{1,7},{2,8},{3,4,6},{5}}
{{1,4,7},{2,8},{3,5},{6}}=>{{1,5},{2,8},{3,4,7},{6}}
{{1,5},{2,8},{3,4,7},{6}}=>{{1,4,5},{2,7},{3,8},{6}}
{{1,5},{2,3,8},{4,7},{6}}=>{{1,3,8},{2,7},{4,5},{6}}
{{1,2,5},{3,8},{4,7},{6}}=>{{1,2,7},{3,8},{4,5},{6}}
{{1,5},{2,7},{3,4,8},{6}}=>{{1,4,5},{2,8},{3,7},{6}}
{{1,4,8},{2,7},{3,5},{6}}=>{{1,5},{2,7},{3,4,8},{6}}
{{1,7},{2,6},{3,4,8},{5}}=>{{1,4,7},{2,8},{3,6},{5}}
{{1,7},{2,3,6},{4,8},{5}}=>{{1,3,6},{2,8},{4,7},{5}}
{{1,8},{2,3,6},{4,7},{5}}=>{{1,3,6},{2,7},{4,8},{5}}
{{1,8},{2,3,5},{4,7},{6}}=>{{1,3,5},{2,7},{4,8},{6}}
{{1,8},{2,5},{3,4,7},{6}}=>{{1,4,8},{2,7},{3,5},{6}}
{{1,8},{2,4,7},{3,5},{6}}=>{{1,5},{2,4,8},{3,7},{6}}
{{1,8},{2,4,7},{3,6},{5}}=>{{1,6},{2,4,8},{3,7},{5}}
{{1,7},{2,4,8},{3,6},{5}}=>{{1,6},{2,4,7},{3,8},{5}}
{{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,3,8},{4,5},{6}}
{{1,3,8},{2,7},{4,6},{5}}=>{{1,6},{2,3,7},{4,8},{5}}
{{1,6},{2,4,8},{3,7},{5}}=>{{1,7},{2,4,6},{3,8},{5}}
{{1,6},{2,4,7},{3,8},{5}}=>{{1,8},{2,4,6},{3,7},{5}}
{{1,7},{2,4,6},{3,8},{5}}=>{{1,8},{2,4,7},{3,6},{5}}
{{1,7},{2,4,8},{3,5},{6}}=>{{1,5},{2,4,7},{3,8},{6}}
{{1,7},{2,3,5},{4,8},{6}}=>{{1,3,5},{2,8},{4,7},{6}}
{{1,2,7},{3,8},{4,6},{5}}=>{{1,2,6},{3,8},{4,7},{5}}
{{1,7},{2,8},{3,4,6},{5}}=>{{1,4,7},{2,6},{3,8},{5}}
{{1,6},{2,8},{3,4,7},{5}}=>{{1,4,6},{2,7},{3,8},{5}}
{{1,6},{2,3,7},{4,8},{5}}=>{{1,3,7},{2,8},{4,6},{5}}
{{1,6},{2,7},{3,4,8},{5}}=>{{1,4,6},{2,8},{3,7},{5}}
{{1,3,5},{2},{4,6,8},{7}}=>{{1,3,6,8},{2},{4,5},{7}}
{{1,3},{2,4,6,8},{5},{7}}=>{{1,4,6,8},{2,3},{5},{7}}
{{1},{2,4,6,8},{3},{5,7}}=>{{1},{2,4,7},{3},{5,6,8}}
{{1,3},{2},{4,6,8},{5,7}}=>{{1,3},{2},{4,7},{5,6,8}}
{{1,3,6},{2},{4,8},{5,7}}=>{{1,3,7},{2},{4,8},{5,6}}
{{1,3,6},{2},{4,7},{5,8}}=>{{1,3,8},{2},{4,7},{5,6}}
{{1,3,5},{2},{4,7},{6,8}}=>{{1,3,8},{2},{4,5},{6,7}}
{{1,3,5,7},{2},{4,6},{8}}=>{{1,3,6},{2},{4,5,7},{8}}
{{1,3,7},{2},{4,6,8},{5}}=>{{1,3,6,7},{2},{4,8},{5}}
{{1,3,7},{2},{4,6},{5,8}}=>{{1,3,8},{2},{4,6},{5,7}}
{{1,3,5,7},{2},{4,8},{6}}=>{{1,3,8},{2},{4,5,7},{6}}
{{1,3},{2,4,8},{5,7},{6}}=>{{1,4,7},{2,3},{5,8},{6}}
{{1},{2,4,8},{3,5,7},{6}}=>{{1},{2,5,8},{3,4,7},{6}}
{{1,4},{2,8},{3,5,7},{6}}=>{{1,5,8},{2,7},{3,4},{6}}
{{1,4},{2,5,7},{3,8},{6}}=>{{1,8},{2,5,7},{3,4},{6}}
{{1,3},{2,5,7},{4,8},{6}}=>{{1,8},{2,3},{4,5,7},{6}}
{{1,3},{2,7},{4,6,8},{5}}=>{{1,6,7},{2,3},{4,8},{5}}
{{1,3,7},{2,4,6},{5},{8}}=>{{1,4,7},{2,3,6},{5},{8}}
{{1,7},{2,4,6},{3},{5,8}}=>{{1,4,6},{2,8},{3},{5,7}}
{{1,5,7},{2,4,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}
{{1},{2,8},{3,5,7},{4,6}}=>{{1},{2,6},{3,5,8},{4,7}}
{{1,7},{2,4,6},{3,5},{8}}=>{{1,5},{2,4,7},{3,6},{8}}
{{1,4,7},{2,6},{3,5},{8}}=>{{1,5},{2,6},{3,4,7},{8}}
{{1},{2,5,8},{3,7},{4,6}}=>{{1},{2,6},{3,7},{4,5,8}}
{{1},{2,5,8},{3,6},{4,7}}=>{{1},{2,7},{3,6},{4,5,8}}
{{1},{2,4,8},{3,6},{5,7}}=>{{1},{2,7},{3,4,6},{5,8}}
{{1},{2,4,6,8},{3,5},{7}}=>{{1},{2,5},{3,4,6,8},{7}}
{{1,4},{2,6,8},{3,5},{7}}=>{{1,5},{2,6,8},{3,4},{7}}
{{1,4},{2,5},{3,6,8},{7}}=>{{1,6,8},{2,5},{3,4},{7}}
{{1,3},{2,5},{4,6,8},{7}}=>{{1,6,8},{2,3},{4,5},{7}}
{{1,5},{2,4,6,8},{3},{7}}=>{{1,4,5},{2,6,8},{3},{7}}
{{1,5},{2,4},{3,6,8},{7}}=>{{1,6,8},{2,4},{3,5},{7}}
{{1},{2,6,8},{3,5,7},{4}}=>{{1},{2,5,6,8},{3,7},{4}}
{{1,6},{2,8},{3,5,7},{4}}=>{{1,5,6},{2,7},{3,8},{4}}
{{1,6},{2,4,8},{3},{5,7}}=>{{1,4,8},{2,7},{3},{5,6}}
{{1,6},{2,4,7},{3},{5,8}}=>{{1,4,7},{2,8},{3},{5,6}}
{{1,5},{2,4,7},{3},{6,8}}=>{{1,4,5},{2,8},{3},{6,7}}
{{1,5,7},{2,4,6},{3},{8}}=>{{1,4,5,7},{2,6},{3},{8}}
{{1,5,7},{2,4},{3,6},{8}}=>{{1,6},{2,4},{3,5,7},{8}}
{{1},{2,6,8},{3,5},{4,7}}=>{{1},{2,7},{3,5},{4,6,8}}
{{1},{2,4,6,8},{3,7},{5}}=>{{1},{2,7},{3,4,6,8},{5}}
{{1,6},{2,7},{3,5,8},{4}}=>{{1,5,6},{2,8},{3,7},{4}}
{{1,3,5},{2,7},{4},{6,8}}=>{{1,8},{2,3,5},{4},{6,7}}
{{1,7},{2,6,8},{3,5},{4}}=>{{1,5},{2,6,7},{3,8},{4}}
{{1,7},{2,6},{3,5,8},{4}}=>{{1,5,7},{2,8},{3,6},{4}}
{{1,2},{3,4,6},{5,8},{7}}=>{{1,2},{3,4,8},{5,6},{7}}
{{1,2},{3,6},{4,5,8},{7}}=>{{1,2},{3,5,6},{4,8},{7}}
{{1,2},{3,5,6},{4,8},{7}}=>{{1,2},{3,8},{4,5,6},{7}}
{{1,2,5,6},{3},{4,8},{7}}=>{{1,2,8},{3},{4,5,6},{7}}
{{1,2,6},{3},{4,5,8},{7}}=>{{1,2,5,6},{3},{4,8},{7}}
{{1,6},{2,3},{4,5,8},{7}}=>{{1,3},{2,5,6},{4,8},{7}}
{{1,5,6},{2,3},{4,8},{7}}=>{{1,3},{2,8},{4,5,6},{7}}
{{1,5,6},{2,3,8},{4},{7}}=>{{1,3,5,6},{2,8},{4},{7}}
{{1,5,6},{2,8},{3,4},{7}}=>{{1,4},{2,8},{3,5,6},{7}}
{{1,5},{2,8},{3,4,6},{7}}=>{{1,4,5},{2,6},{3,8},{7}}
{{1,5},{2,3,8},{4,6},{7}}=>{{1,3,8},{2,6},{4,5},{7}}
{{1,6},{2,3,5,8},{4},{7}}=>{{1,3,8},{2,5,6},{4},{7}}
{{1,2,5},{3,8},{4,6},{7}}=>{{1,2,6},{3,8},{4,5},{7}}
{{1,2,4},{3,6},{5},{7,8}}=>{{1,2,6},{3,4},{5},{7,8}}
{{1,2,4,6},{3},{5,8},{7}}=>{{1,2,4,8},{3},{5,6},{7}}
{{1,2,4},{3,8},{5,7},{6}}=>{{1,2,7},{3,4},{5,8},{6}}
{{1,2,4},{3,8},{5},{6,7}}=>{{1,2,7},{3,4},{5},{6,8}}
{{1,4},{2,3,8},{5},{6,7}}=>{{1,3,4},{2,7},{5},{6,8}}
{{1,3,4},{2,8},{5},{6,7}}=>{{1,7},{2,3,4},{5},{6,8}}
{{1,3,4},{2,8},{5,7},{6}}=>{{1,7},{2,3,4},{5,8},{6}}
{{1,4},{2,3,8},{5,7},{6}}=>{{1,3,4},{2,7},{5,8},{6}}
{{1,4,6},{2,3},{5,8},{7}}=>{{1,3},{2,4,8},{5,6},{7}}
{{1,4},{2,3,6},{5},{7,8}}=>{{1,3,4},{2,6},{5},{7,8}}
{{1,4},{2,3,6,8},{5},{7}}=>{{1,3,4},{2,6,8},{5},{7}}
{{1,4},{2,3,6},{5,8},{7}}=>{{1,3,4},{2,8},{5,6},{7}}
{{1,8},{2,4,5},{3,7},{6}}=>{{1,7},{2,4,8},{3,5},{6}}
{{1,3,8},{2,6},{4,5},{7}}=>{{1,5},{2,3,6},{4,8},{7}}
{{1,3,4},{2,6},{5},{7,8}}=>{{1,6},{2,3,4},{5},{7,8}}
{{1,6},{2,5,8},{3,4},{7}}=>{{1,4},{2,5,6},{3,8},{7}}
{{1,6},{2,4,5},{3,8},{7}}=>{{1,8},{2,4,6},{3,5},{7}}
{{1,4,5},{2,8},{3,6},{7}}=>{{1,6},{2,8},{3,4,5},{7}}
{{1,3,8},{2,5,6},{4},{7}}=>{{1,5,8},{2,3,6},{4},{7}}
{{1,3,8},{2,5},{4},{6,7}}=>{{1,5},{2,3,7},{4},{6,8}}
{{1,5},{2,4},{3,7,8},{6}}=>{{1,7,8},{2,4},{3,5},{6}}
{{1,5,6},{2,4},{3,8},{7}}=>{{1,8},{2,4},{3,5,6},{7}}
{{1,4},{2,8},{3,5,6},{7}}=>{{1,5,8},{2,6},{3,4},{7}}
{{1,4},{2,7,8},{3,5},{6}}=>{{1,5},{2,7,8},{3,4},{6}}
{{1,4,7},{2,8},{3},{5,6}}=>{{1,6},{2,4,8},{3},{5,7}}
{{1,5,7},{2,8},{3,4},{6}}=>{{1,4},{2,8},{3,5,7},{6}}
{{1,5,7},{2,3,8},{4},{6}}=>{{1,3,5,7},{2,8},{4},{6}}
{{1,2,5},{3,7},{4},{6,8}}=>{{1,2,8},{3,5},{4},{6,7}}
{{1,5},{2,3,7},{4},{6,8}}=>{{1,3,5},{2,8},{4},{6,7}}
{{1,4,5},{2,7},{3},{6,8}}=>{{1,8},{2,4,5},{3},{6,7}}
{{1,4},{2,7},{3},{5,6,8}}=>{{1,6,7},{2,4},{3},{5,8}}
{{1,4},{2,6,7},{3},{5,8}}=>{{1,8},{2,4},{3},{5,6,7}}
{{1,4},{2,6},{3},{5,7,8}}=>{{1,7,8},{2,4},{3},{5,6}}
{{1,6},{2,5,7,8},{3},{4}}=>{{1,5,6},{2,7,8},{3},{4}}
{{1,6,7},{2,5,8},{3},{4}}=>{{1,5,6,7},{2,8},{3},{4}}
{{1,7},{2,5,6,8},{3},{4}}=>{{1,5,8},{2,6,7},{3},{4}}
{{1,7},{2,6,8},{3},{4,5}}=>{{1,5},{2,6,7},{3},{4,8}}
{{1,7},{2,3,6,8},{4},{5}}=>{{1,3,8},{2,6,7},{4},{5}}
{{1,2,8},{3,6},{4},{5,7}}=>{{1,2,7},{3,6},{4},{5,8}}
{{1,8},{2,6},{3},{4,5,7}}=>{{1,5,8},{2,7},{3},{4,6}}
{{1,8},{2,5,6},{3},{4,7}}=>{{1,7},{2,5,8},{3},{4,6}}
{{1,8},{2,5},{3},{4,6,7}}=>{{1,6,8},{2,5},{3},{4,7}}
{{1,7,8},{2,5},{3},{4,6}}=>{{1,6},{2,5},{3},{4,7,8}}
{{1,8},{2,4},{3,6,7},{5}}=>{{1,6,8},{2,4},{3,7},{5}}
{{1,7,8},{2,4},{3,6},{5}}=>{{1,6},{2,4},{3,7,8},{5}}
{{1,4},{2,3,7},{5,8},{6}}=>{{1,3,4},{2,8},{5,7},{6}}
{{1,3},{2,7},{4,5,8},{6}}=>{{1,5,7},{2,3},{4,8},{6}}
{{1,3},{2,6,7},{4,8},{5}}=>{{1,8},{2,3},{4,6,7},{5}}
{{1,3},{2,6},{4,7,8},{5}}=>{{1,7,8},{2,3},{4,6},{5}}
{{1,6},{2,4,7,8},{3},{5}}=>{{1,4,6},{2,7,8},{3},{5}}
{{1,7},{2,4,8},{3},{5,6}}=>{{1,4,8},{2,6},{3},{5,7}}
{{1,7},{2,4,5,8},{3},{6}}=>{{1,4,8},{2,5,7},{3},{6}}
{{1,7},{2,5,8},{3,4},{6}}=>{{1,4},{2,5,7},{3,8},{6}}
{{1,7},{2,3,5,8},{4},{6}}=>{{1,3,8},{2,5,7},{4},{6}}
{{1,2,7},{3},{4,6},{5,8}}=>{{1,2,8},{3},{4,6},{5,7}}
{{1,7},{2},{3,4,6},{5,8}}=>{{1,4,6},{2},{3,8},{5,7}}
{{1,7},{2},{3,6},{4,5,8}}=>{{1,5,7},{2},{3,8},{4,6}}
{{1,7},{2},{3,5,6},{4,8}}=>{{1,8},{2},{3,5,7},{4,6}}
{{1,6,7},{2},{3,5},{4,8}}=>{{1,8},{2},{3,5},{4,6,7}}
{{1,6},{2},{3,5},{4,7,8}}=>{{1,7,8},{2},{3,5},{4,6}}
{{1,5},{2},{3,7,8},{4,6}}=>{{1,6},{2},{3,7,8},{4,5}}
{{1,5},{2},{3,8},{4,6,7}}=>{{1,6,8},{2},{3,7},{4,5}}
{{1,5,6},{2},{3,8},{4,7}}=>{{1,7},{2},{3,8},{4,5,6}}
{{1,6},{2},{3,8},{4,5,7}}=>{{1,5,6},{2},{3,7},{4,8}}
{{1,6},{2},{3,4,8},{5,7}}=>{{1,4,8},{2},{3,7},{5,6}}
{{1,2,6},{3},{4,8},{5,7}}=>{{1,2,7},{3},{4,8},{5,6}}
{{1,2,6,8},{3},{4,7},{5}}=>{{1,2,7},{3},{4,6,8},{5}}
{{1,6,8},{2,3},{4,7},{5}}=>{{1,3},{2,7},{4,6,8},{5}}
{{1,6,8},{2},{3,7},{4,5}}=>{{1,5},{2},{3,7},{4,6,8}}
{{1,5,6,8},{2},{3,7},{4}}=>{{1,7},{2},{3,5,6,8},{4}}
{{1,5,8},{2},{3,6,7},{4}}=>{{1,6,8},{2},{3,5,7},{4}}
{{1,3,6,8},{2},{4},{5,7}}=>{{1,3,7},{2},{4},{5,6,8}}
{{1,4,6,8},{2},{3,5},{7}}=>{{1,5},{2},{3,4,6,8},{7}}
{{1,5,7},{2,3},{4,8},{6}}=>{{1,3},{2,8},{4,5,7},{6}}
{{1,4,8},{2},{3,6},{5,7}}=>{{1,7},{2},{3,4,6},{5,8}}
{{1,3,8},{2},{4,6},{5,7}}=>{{1,3,7},{2},{4,6},{5,8}}
{{1,4,7,8},{2},{3,6},{5}}=>{{1,6},{2},{3,4,7,8},{5}}
{{1,4,6,7},{2},{3,5},{8}}=>{{1,5},{2},{3,4,6,7},{8}}
{{1,4,8},{2},{3,7},{5,6}}=>{{1,6},{2},{3,4,7},{5,8}}
{{1,5,8},{2},{3,7},{4,6}}=>{{1,6},{2},{3,7},{4,5,8}}
{{1,5,8},{2},{3,6},{4,7}}=>{{1,7},{2},{3,6},{4,5,8}}
{{1,4,7},{2,3},{5,8},{6}}=>{{1,3},{2,4,8},{5,7},{6}}
{{1,3},{2,5,8},{4,7},{6}}=>{{1,7},{2,3},{4,5,8},{6}}
{{1,5},{2,4,7,8},{3},{6}}=>{{1,4,5},{2,7,8},{3},{6}}
{{1,3},{2,4,6,7},{5},{8}}=>{{1,4,6,7},{2,3},{5},{8}}
{{1,3},{2,4,8},{5,6},{7}}=>{{1,4,6},{2,3},{5,8},{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}}=>{{1,3,8},{2,4},{5,6},{7}}
{{1,6},{2,4},{3,5,8},{7}}=>{{1,5,6},{2,4},{3,8},{7}}
{{1,4},{2,6},{3,5,8},{7}}=>{{1,5,6},{2,8},{3,4},{7}}
{{1,4},{2,5,6},{3,7},{8}}=>{{1,7},{2,5,6},{3,4},{8}}
{{1,4},{2,6,7},{3,8},{5}}=>{{1,8},{2,6,7},{3,4},{5}}
{{1,2,5},{3,6},{4},{7,8}}=>{{1,2,6},{3,5},{4},{7,8}}
{{1,2,4},{3,7},{5,6},{8}}=>{{1,2,6},{3,4},{5,7},{8}}
{{1,3,4},{2,7},{5,6},{8}}=>{{1,6},{2,3,4},{5,7},{8}}
{{1,6,7},{2,8},{3},{4,5}}=>{{1,5},{2,8},{3},{4,6,7}}
{{1,5,6},{2,3},{4,7},{8}}=>{{1,3},{2,7},{4,5,6},{8}}
{{1,4,6},{2,3},{5,7},{8}}=>{{1,3},{2,4,7},{5,6},{8}}
{{1,4},{2,3,6},{5,7},{8}}=>{{1,3,4},{2,7},{5,6},{8}}
{{1,4},{2,3,7},{5},{6,8}}=>{{1,3,4},{2,8},{5},{6,7}}
{{1,2,4},{3,7},{5},{6,8}}=>{{1,2,8},{3,4},{5},{6,7}}
{{1,3,4},{2,7},{5},{6,8}}=>{{1,8},{2,3,4},{5},{6,7}}
{{1,2,7},{3},{4,5},{6,8}}=>{{1,2,5},{3},{4,8},{6,7}}
{{1,2,6},{3},{4},{5,7,8}}=>{{1,2,7,8},{3},{4},{5,6}}
{{1,7},{2,3,4},{5},{6,8}}=>{{1,3,8},{2,4},{5},{6,7}}
{{1,7},{2,4},{3,6,8},{5}}=>{{1,6,7},{2,4},{3,8},{5}}
{{1,4},{2,7},{3,6,8},{5}}=>{{1,6,7},{2,8},{3,4},{5}}
{{1,4},{2,6},{3,5,7},{8}}=>{{1,5,6},{2,7},{3,4},{8}}
{{1,6},{2,4},{3,5,7},{8}}=>{{1,5,6},{2,4},{3,7},{8}}
{{1,6},{2,3,4},{5,7},{8}}=>{{1,3,7},{2,4},{5,6},{8}}
{{1,3},{2,5,7},{4,6},{8}}=>{{1,6},{2,3},{4,5,7},{8}}
{{1,3},{2,4,7},{5,6},{8}}=>{{1,4,6},{2,3},{5,7},{8}}
{{1,5},{2,7,8},{3},{4,6}}=>{{1,6},{2,7,8},{3},{4,5}}
{{1,7},{2,4},{3,5,6},{8}}=>{{1,5,7},{2,4},{3,6},{8}}
{{1,6},{2,5},{3,7,8},{4}}=>{{1,7,8},{2,5},{3,6},{4}}
{{1,5},{2,6},{3,7,8},{4}}=>{{1,7,8},{2,6},{3,5},{4}}
{{1,4},{2,8},{3,6,7},{5}}=>{{1,6,8},{2,7},{3,4},{5}}
{{1,4},{2,7},{3,5,6},{8}}=>{{1,5,7},{2,6},{3,4},{8}}
{{1,3},{2,4,5,6},{7,8}}=>{{1,4,5,6},{2,3},{7,8}}
{{1,4},{2,3,5,6},{7,8}}=>{{1,3,4},{2,5,6},{7,8}}
{{1,4},{2,3,5,7},{6,8}}=>{{1,3,4},{2,5,8},{6,7}}
{{1,3},{2,4,5,7},{6,8}}=>{{1,4,5,8},{2,3},{6,7}}
{{1,2},{3,4,5,7},{6,8}}=>{{1,2},{3,4,5,8},{6,7}}
{{1,3},{2,4,5,6,7,8}}=>{{1,4,5,6,7,8},{2,3}}
{{1,4},{2,3,5,6,7,8}}=>{{1,3,4},{2,5,6,7,8}}
{{1,5},{2,3,4,6,7,8}}=>{{1,3,6,7,8},{2,4,5}}
{{1,2},{3,4,6,7},{5,8}}=>{{1,2},{3,4,8},{5,6,7}}
{{1,3},{2,4,6,7},{5,8}}=>{{1,4,8},{2,3},{5,6,7}}
{{1,4},{2,3,6,7},{5,8}}=>{{1,3,4},{2,8},{5,6,7}}
{{1,5},{2,3,6,7},{4,8}}=>{{1,3,6,7},{2,8},{4,5}}
{{1,3},{2,4},{5,6,7,8}}=>{{1,4},{2,3},{5,6,7,8}}
{{1,4},{2,5},{3,6,7,8}}=>{{1,6,7,8},{2,5},{3,4}}
{{1,3},{2,5},{4,6,7,8}}=>{{1,6,7,8},{2,3},{4,5}}
{{1,2},{3,5},{4,6,7,8}}=>{{1,2},{3,6,7,8},{4,5}}
{{1,2},{3,6},{4,5,7,8}}=>{{1,2},{3,5,6},{4,7,8}}
{{1,3},{2,6},{4,5,7,8}}=>{{1,5,6},{2,3},{4,7,8}}
{{1,4},{2,6},{3,5,7,8}}=>{{1,5,6},{2,7,8},{3,4}}
{{1,5},{2,6},{3,4,7,8}}=>{{1,4,5},{2,7,8},{3,6}}
{{1,2},{3,5,6,8},{4,7}}=>{{1,2},{3,7},{4,5,6,8}}
{{1,3},{2,5,6,8},{4,7}}=>{{1,7},{2,3},{4,5,6,8}}
{{1,4},{2,5,6,8},{3,7}}=>{{1,7},{2,5,6,8},{3,4}}
{{1,5},{2,4,6,8},{3,7}}=>{{1,7},{2,4,5},{3,6,8}}
{{1,4,5,8},{2,3,6,7}}=>{{1,3,4,5,7},{2,6,8}}
{{1,4},{2},{3,5,6},{7,8}}=>{{1,5,6},{2},{3,4},{7,8}}
{{1,4,5},{2},{3,6},{7,8}}=>{{1,6},{2},{3,4,5},{7,8}}
{{1,5},{2},{3,4,6},{7,8}}=>{{1,4,5},{2},{3,6},{7,8}}
{{1,6},{2},{3,4,7,8},{5}}=>{{1,4,6},{2},{3,7,8},{5}}
{{1,5},{2},{3,4,7,8},{6}}=>{{1,4,5},{2},{3,7,8},{6}}
{{1,4,5},{2},{3,7,8},{6}}=>{{1,7,8},{2},{3,4,5},{6}}
{{1,4,5},{2},{3,8},{6,7}}=>{{1,7},{2},{3,4,5},{6,8}}
{{1,6,7},{2},{3,4,8},{5}}=>{{1,4,6,7},{2},{3,8},{5}}
{{1,7},{2},{3,4,8},{5,6}}=>{{1,4,8},{2},{3,6},{5,7}}
{{1,4,6,7},{2},{3,8},{5}}=>{{1,8},{2},{3,4,6,7},{5}}
{{1,4,6},{2},{3,7,8},{5}}=>{{1,7,8},{2},{3,4,6},{5}}
{{1,3,6},{2},{4},{5,7,8}}=>{{1,3,7,8},{2},{4},{5,6}}
{{1,2},{3,6},{4},{5,7,8}}=>{{1,2},{3,7,8},{4},{5,6}}
{{1,4},{2},{3,5,7,8},{6}}=>{{1,5,7,8},{2},{3,4},{6}}
{{1,6},{2,4},{3},{5,7,8}}=>{{1,4},{2,7,8},{3},{5,6}}
{{1,6,7},{2,3},{4},{5,8}}=>{{1,3},{2,8},{4},{5,6,7}}
{{1,7},{2,4},{3},{5,6,8}}=>{{1,4},{2,6,7},{3},{5,8}}
{{1,6,7},{2,4},{3},{5,8}}=>{{1,4},{2,8},{3},{5,6,7}}
{{1,2},{3,6,7},{4},{5,8}}=>{{1,2},{3,8},{4},{5,6,7}}
{{1,3,6,7},{2},{4},{5,8}}=>{{1,3,8},{2},{4},{5,6,7}}
{{1,3,7},{2},{4},{5,6,8}}=>{{1,3,6,7},{2},{4},{5,8}}
{{1,2},{3,7},{4},{5,6,8}}=>{{1,2},{3,6,7},{4},{5,8}}
{{1,4,7},{2},{3,8},{5,6}}=>{{1,6},{2},{3,4,8},{5,7}}
{{1,7},{2,4,5},{3},{6,8}}=>{{1,4,8},{2,5},{3},{6,7}}
{{1,8},{2,4,5},{3,6},{7}}=>{{1,6},{2,4,8},{3,5},{7}}
{{1,8},{2,4},{3,5,6},{7}}=>{{1,5,8},{2,4},{3,6},{7}}
{{1,5,8},{2,3},{4,6},{7}}=>{{1,3},{2,6},{4,5,8},{7}}
{{1,8},{2,5},{3,4,6},{7}}=>{{1,4,8},{2,6},{3,5},{7}}
{{1,4,8},{2},{3,5,6},{7}}=>{{1,5,8},{2},{3,4,6},{7}}
{{1,4},{2},{3,6,8},{5,7}}=>{{1,7},{2},{3,4},{5,6,8}}
{{1,5,7},{2,3},{4},{6,8}}=>{{1,3},{2,5,8},{4},{6,7}}
{{1,4,6},{2},{3},{5,7,8}}=>{{1,4,7,8},{2},{3},{5,6}}
{{1},{2,5,6},{3,7},{4,8}}=>{{1},{2,8},{3,7},{4,5,6}}
{{1},{2,5,6},{3},{4,7,8}}=>{{1},{2,7,8},{3},{4,5,6}}
{{1},{2,5},{3,7},{4,6,8}}=>{{1},{2,6,7},{3,8},{4,5}}
{{1},{2},{3,6,7},{4,5,8}}=>{{1},{2},{3,5,6,7},{4,8}}
{{1},{2,3,6,7},{4},{5,8}}=>{{1},{2,3,8},{4},{5,6,7}}
{{1},{2,3,6},{4,8},{5,7}}=>{{1},{2,3,7},{4,8},{5,6}}
{{1},{2},{3,4,6,8},{5,7}}=>{{1},{2},{3,4,7},{5,6,8}}
{{1},{2},{3,6},{4,5,7,8}}=>{{1},{2},{3,5,6},{4,7,8}}
{{1},{2,5},{3},{4,6,7,8}}=>{{1},{2,6,7,8},{3},{4,5}}
{{1},{2,5},{3,6},{4,7,8}}=>{{1},{2,7,8},{3,6},{4,5}}
{{1},{2,5},{3,6,7},{4,8}}=>{{1},{2,8},{3,6,7},{4,5}}
{{1},{2},{3,5,6,7},{4,8}}=>{{1},{2},{3,8},{4,5,6,7}}
{{1},{2},{3,5,6},{4,7,8}}=>{{1},{2},{3,7,8},{4,5,6}}
{{1},{2},{3,5},{4,6,7,8}}=>{{1},{2},{3,6,7,8},{4,5}}
{{1},{2,4,8},{3,5},{6,7}}=>{{1},{2,5},{3,4,7},{6,8}}
{{1},{2,4},{3,6,8},{5,7}}=>{{1},{2,7},{3,4},{5,6,8}}
{{1},{2,4,7},{3,6},{5,8}}=>{{1},{2,8},{3,4,6},{5,7}}
{{1,3},{2,8},{4,5,7},{6}}=>{{1,5,8},{2,3},{4,7},{6}}
{{1,3},{2,4,7,8},{5},{6}}=>{{1,4,7,8},{2,3},{5},{6}}
{{1,7},{2,3,4,8},{5},{6}}=>{{1,3,8},{2,4,7},{5},{6}}
{{1},{2,4,7},{3},{5,6,8}}=>{{1},{2,4,6,7},{3},{5,8}}
{{1,7},{2},{3,4,5},{6,8}}=>{{1,4,8},{2},{3,5},{6,7}}
{{1},{2,3,7},{4,8},{5,6}}=>{{1},{2,3,6},{4,8},{5,7}}
{{1},{2},{3,7},{4,5,6,8}}=>{{1},{2},{3,5,8},{4,6,7}}
{{1},{2},{3,5,7},{4,6,8}}=>{{1},{2},{3,6,7},{4,5,8}}
{{1},{2,6},{3,5},{4,7,8}}=>{{1},{2,7,8},{3,5},{4,6}}
{{1},{2,6},{3,5,7},{4,8}}=>{{1},{2,8},{3,5,6},{4,7}}
{{1,5},{2},{3,6,7},{4,8}}=>{{1,8},{2},{3,6,7},{4,5}}
{{1,5},{2},{3,6},{4,7,8}}=>{{1,7,8},{2},{3,6},{4,5}}
{{1,5},{2},{3},{4,6,7,8}}=>{{1,6,7,8},{2},{3},{4,5}}
{{1},{2,6},{3},{4,5,7,8}}=>{{1},{2,5,6},{3},{4,7,8}}
{{1,6},{2},{3,4},{5,7,8}}=>{{1,4},{2},{3,7,8},{5,6}}
{{1,2,6},{3},{4,7,8},{5}}=>{{1,2,7,8},{3},{4,6},{5}}
{{1,6},{2},{3,4,7},{5,8}}=>{{1,4,7},{2},{3,8},{5,6}}
{{1},{2,6},{3,7},{4,5,8}}=>{{1},{2,5,6},{3,8},{4,7}}
{{1,5},{2},{3,7},{4,6,8}}=>{{1,6,7},{2},{3,8},{4,5}}
{{1,5},{2,6},{3},{4,7,8}}=>{{1,7,8},{2,6},{3},{4,5}}
{{1,3,6},{2,5},{4},{7,8}}=>{{1,5},{2,3,6},{4},{7,8}}
{{1,5},{2,4,6},{3},{7,8}}=>{{1,4,5},{2,6},{3},{7,8}}
{{1,4,5},{2,6},{3},{7,8}}=>{{1,6},{2,4,5},{3},{7,8}}
{{1,5,8},{2,7},{3,4},{6}}=>{{1,4},{2,7},{3,5,8},{6}}
{{1,4,5},{2,8},{3},{6,7}}=>{{1,7},{2,4,5},{3},{6,8}}
{{1,6,7},{2,8},{3,5},{4}}=>{{1,5},{2,8},{3,6,7},{4}}
{{1,6},{2,8},{3},{4,5,7}}=>{{1,5,6},{2,7},{3},{4,8}}
{{1,6},{2,5,8},{3},{4,7}}=>{{1,7},{2,5,6},{3},{4,8}}
{{1,6},{2,4,5,8},{3},{7}}=>{{1,4,8},{2,5,6},{3},{7}}
{{1,5},{2,7},{3},{4,6,8}}=>{{1,6,7},{2,8},{3},{4,5}}
{{1,7},{2,5},{3,6,8},{4}}=>{{1,6,7},{2,5},{3,8},{4}}
{{1,8},{2,6},{3,5,7},{4}}=>{{1,5,8},{2,7},{3,6},{4}}
{{1,5,8},{2,3},{4,7},{6}}=>{{1,3},{2,7},{4,5,8},{6}}
{{1,7},{2,3},{4,6,8},{5}}=>{{1,3},{2,6,7},{4,8},{5}}
{{1,6,7},{2,3},{4,8},{5}}=>{{1,3},{2,8},{4,6,7},{5}}
{{1,8},{2,5,6},{3,7},{4}}=>{{1,7},{2,5,8},{3,6},{4}}
{{1,3,8},{2,6},{4},{5,7}}=>{{1,7},{2,3,6},{4},{5,8}}
{{1,6,7},{2,5},{3,8},{4}}=>{{1,8},{2,5},{3,6,7},{4}}
{{1,5},{2,6,7},{3},{4,8}}=>{{1,8},{2,6,7},{3},{4,5}}
{{1,3,8},{2,7},{4,5},{6}}=>{{1,5},{2,3,7},{4,8},{6}}
{{1,5,6},{2,4,8},{3},{7}}=>{{1,4,5,6},{2,8},{3},{7}}
{{1,5,6},{2,8},{3},{4,7}}=>{{1,7},{2,8},{3},{4,5,6}}
{{1,5,7},{2},{3,6,8},{4}}=>{{1,6,7},{2},{3,5,8},{4}}
{{1,5},{2},{3,6,8},{4,7}}=>{{1,7},{2},{3,6,8},{4,5}}
{{1,6,8},{2,5},{3},{4,7}}=>{{1,7},{2,5},{3},{4,6,8}}
{{1,5},{2,6,8},{3},{4,7}}=>{{1,7},{2,6,8},{3},{4,5}}
{{1,5,7},{2,6},{3},{4,8}}=>{{1,8},{2,6},{3},{4,5,7}}
{{1,6},{2,5,7},{3},{4,8}}=>{{1,8},{2,5,6},{3},{4,7}}
{{1,5,7},{2},{3,6},{4,8}}=>{{1,8},{2},{3,6},{4,5,7}}
{{1,5,7},{2},{3,8},{4,6}}=>{{1,6},{2},{3,8},{4,5,7}}
{{1,5,6},{2},{3,7},{4,8}}=>{{1,8},{2},{3,7},{4,5,6}}
{{1,5,8},{2,6},{3},{4,7}}=>{{1,7},{2,6},{3},{4,5,8}}
{{1,7},{2,5,8},{3,6},{4}}=>{{1,6},{2,5,7},{3,8},{4}}
{{1,7},{2,5,8},{3},{4,6}}=>{{1,6},{2,5,7},{3},{4,8}}
{{1,7},{2,5,6},{3},{4,8}}=>{{1,8},{2,5,7},{3},{4,6}}
{{1,6,7},{2,5},{3},{4,8}}=>{{1,8},{2,5},{3},{4,6,7}}
{{1,6},{2,5},{3},{4,7,8}}=>{{1,7,8},{2,5},{3},{4,6}}
{{1,5,6},{2,7},{3},{4,8}}=>{{1,8},{2,7},{3},{4,5,6}}
{{1,5,8},{2,7},{3},{4,6}}=>{{1,6},{2,7},{3},{4,5,8}}
{{1,6},{2,5,8},{3,7},{4}}=>{{1,7},{2,5,6},{3,8},{4}}
{{1,5,6},{2,8},{3,7},{4}}=>{{1,7},{2,8},{3,5,6},{4}}
{{1,5},{2,8},{3,6,7},{4}}=>{{1,6,8},{2,7},{3,5},{4}}
{{1,5},{2,7,8},{3,6},{4}}=>{{1,6},{2,7,8},{3,5},{4}}
{{1,8},{2,5},{3,6,7},{4}}=>{{1,6,8},{2,5},{3,7},{4}}
{{1,8},{2,5,7},{3},{4,6}}=>{{1,6},{2,5,8},{3},{4,7}}
{{1,5,7},{2,8},{3,6},{4}}=>{{1,6},{2,8},{3,5,7},{4}}
{{1,5},{2,7},{3,6,8},{4}}=>{{1,6,7},{2,8},{3,5},{4}}
{{1,7},{2,5},{3},{4,6,8}}=>{{1,6,7},{2,5},{3},{4,8}}
{{1,6,8},{2,5},{3,7},{4}}=>{{1,7},{2,5},{3,6,8},{4}}
{{1,5},{2,6,8},{3,7},{4}}=>{{1,7},{2,6,8},{3,5},{4}}
{{1,6},{2,5,7},{3,8},{4}}=>{{1,8},{2,5,6},{3,7},{4}}
{{1,5,7},{2,8},{3},{4,6}}=>{{1,6},{2,8},{3},{4,5,7}}
{{1,5},{2,8},{3},{4,6,7}}=>{{1,6,8},{2,7},{3},{4,5}}
{{1,6},{2,7,8},{3,5},{4}}=>{{1,5},{2,7,8},{3,6},{4}}
{{1,7},{2,8},{3,5,6},{4}}=>{{1,5,7},{2,6},{3,8},{4}}
{{1,7},{2,5,6},{3,8},{4}}=>{{1,8},{2,5,7},{3,6},{4}}
{{1,5},{2,6,7},{3,8},{4}}=>{{1,8},{2,6,7},{3,5},{4}}
{{1,3,8},{2,4,6},{5},{7}}=>{{1,4,8},{2,3,6},{5},{7}}
{{1,8},{2,3,5},{4,6},{7}}=>{{1,3,5},{2,6},{4,8},{7}}
{{1,8},{2,4,6},{3,5},{7}}=>{{1,5},{2,4,8},{3,6},{7}}
{{1,7},{2,8},{3,4,5},{6}}=>{{1,4,7},{2,5},{3,8},{6}}
{{1,2,7},{3,8},{4,5},{6}}=>{{1,2,5},{3,8},{4,7},{6}}
{{1,3,5},{2},{4,6},{7,8}}=>{{1,3,6},{2},{4,5},{7,8}}
{{1,3,6},{2},{4,7,8},{5}}=>{{1,3,7,8},{2},{4,6},{5}}
{{1,6},{2},{3,7,8},{4,5}}=>{{1,5},{2},{3,7,8},{4,6}}
{{1,6,7},{2},{3,8},{4,5}}=>{{1,5},{2},{3,8},{4,6,7}}
{{1,3,6,7},{2},{4,8},{5}}=>{{1,3,8},{2},{4,6,7},{5}}
{{1,4,8},{2},{3,6,7},{5}}=>{{1,6,8},{2},{3,4,7},{5}}
{{1,5,6},{2},{3,4,8},{7}}=>{{1,4,5,6},{2},{3,8},{7}}
{{1,6},{2},{3,5,7,8},{4}}=>{{1,5,6},{2},{3,7,8},{4}}
{{1,6,7},{2},{3,5,8},{4}}=>{{1,5,6,7},{2},{3,8},{4}}
{{1,4},{2,6,8},{3},{5,7}}=>{{1,7},{2,4},{3},{5,6,8}}
{{1,8},{2,4,6},{3},{5,7}}=>{{1,4,6},{2,7},{3},{5,8}}
{{1,7},{2},{3,6,8},{4,5}}=>{{1,5},{2},{3,6,7},{4,8}}
{{1,6,8},{2},{3,5,7},{4}}=>{{1,5,6,8},{2},{3,7},{4}}
{{1,4},{2},{3,5,7},{6,8}}=>{{1,5,8},{2},{3,4},{6,7}}
{{1,2},{3,5,7},{4},{6,8}}=>{{1,2},{3,5,8},{4},{6,7}}
{{1,5,8},{2},{3,4,7},{6}}=>{{1,4,5,8},{2},{3,7},{6}}
{{1,2},{3,4,7},{5},{6,8}}=>{{1,2},{3,4,8},{5},{6,7}}
{{1,2,5},{3},{4,7},{6,8}}=>{{1,2,8},{3},{4,5},{6,7}}
{{1,2,5,8},{3},{4,7},{6}}=>{{1,2,7},{3},{4,5,8},{6}}
{{1,2},{3,4,7},{5,8},{6}}=>{{1,2},{3,4,8},{5,7},{6}}
{{1,2},{3,5},{4,6,8},{7}}=>{{1,2},{3,6,8},{4,5},{7}}
{{1,2,6},{3},{4,7},{5,8}}=>{{1,2,8},{3},{4,7},{5,6}}
{{1,3,7},{2,6},{4},{5,8}}=>{{1,8},{2,3,6},{4},{5,7}}
{{1,2,6},{3,7},{4},{5,8}}=>{{1,2,8},{3,7},{4},{5,6}}
{{1,2,5},{3},{4,6,8},{7}}=>{{1,2,6,8},{3},{4,5},{7}}
{{1,2,5},{3},{4,6},{7,8}}=>{{1,2,6},{3},{4,5},{7,8}}
{{1,3},{2,5,6},{4,8},{7}}=>{{1,8},{2,3},{4,5,6},{7}}
{{1,3},{2,8},{4,5,6},{7}}=>{{1,5,8},{2,3},{4,6},{7}}
{{1,3,5},{2,8},{4,6},{7}}=>{{1,6},{2,3,8},{4,5},{7}}
{{1,2,6},{3,8},{4,5},{7}}=>{{1,2,5},{3,8},{4,6},{7}}
{{1,2,4,7},{3},{5,8},{6}}=>{{1,2,4,8},{3},{5,7},{6}}
{{1,3,7},{2,5},{4},{6,8}}=>{{1,5},{2,3,8},{4},{6,7}}
{{1,2,7},{3,4},{5},{6,8}}=>{{1,2,4},{3,8},{5},{6,7}}
{{1,2,4,7},{3},{5},{6,8}}=>{{1,2,4,8},{3},{5},{6,7}}
{{1,2,4},{3},{5,7},{6,8}}=>{{1,2,4},{3},{5,8},{6,7}}
{{1,3},{2,4},{5,6,8},{7}}=>{{1,4},{2,3},{5,6,8},{7}}
{{1,3},{2,4,7},{5},{6,8}}=>{{1,4,8},{2,3},{5},{6,7}}
{{1,4},{2,5,8},{3,7},{6}}=>{{1,7},{2,5,8},{3,4},{6}}
{{1,7},{2,3,4},{5,8},{6}}=>{{1,3,8},{2,4},{5,7},{6}}
{{1,3},{2,4,7},{5,8},{6}}=>{{1,4,8},{2,3},{5,7},{6}}
{{1,3},{2,4,6},{5},{7,8}}=>{{1,4,6},{2,3},{5},{7,8}}
{{1,3,4},{2,8},{5,6},{7}}=>{{1,6},{2,3,4},{5,8},{7}}
{{1,6},{2,3,4,8},{5},{7}}=>{{1,3,8},{2,4,6},{5},{7}}
{{1,4},{2,5,6},{3,8},{7}}=>{{1,8},{2,5,6},{3,4},{7}}
{{1,4,6},{2,8},{3,5},{7}}=>{{1,5},{2,8},{3,4,6},{7}}
{{1,6},{2,8},{3,4,5},{7}}=>{{1,4,6},{2,5},{3,8},{7}}
{{1,2,5,7},{3},{4},{6,8}}=>{{1,2,5,8},{3},{4},{6,7}}
{{1,2,5,8},{3},{4,6},{7}}=>{{1,2,6},{3},{4,5,8},{7}}
{{1,3,6},{2,8},{4,5},{7}}=>{{1,5},{2,3,8},{4,6},{7}}
{{1,4,6},{2},{3,5},{7,8}}=>{{1,5},{2},{3,4,6},{7,8}}
{{1,2},{3,5,8},{4,6},{7}}=>{{1,2},{3,6},{4,5,8},{7}}
{{1,3},{2,5,7},{4},{6,8}}=>{{1,5,8},{2,3},{4},{6,7}}
{{1,2,7},{3,5},{4},{6,8}}=>{{1,2,5},{3,8},{4},{6,7}}
{{1,3,7},{2,4},{5},{6,8}}=>{{1,4},{2,3,8},{5},{6,7}}
{{1},{2,3,4,7},{5},{6,8}}=>{{1},{2,3,4,8},{5},{6,7}}
{{1,4},{2,5,7},{3},{6,8}}=>{{1,5,8},{2,4},{3},{6,7}}
{{1,3},{2,4,6},{5,8},{7}}=>{{1,4,8},{2,3},{5,6},{7}}
{{1},{2,3,4},{5,7},{6,8}}=>{{1},{2,3,4},{5,8},{6,7}}
{{1},{2,4,5},{3,7},{6,8}}=>{{1},{2,8},{3,4,5},{6,7}}
{{1},{2,3,5},{4,7},{6,8}}=>{{1},{2,3,8},{4,5},{6,7}}
{{1},{2,3,5},{4,6},{7,8}}=>{{1},{2,3,6},{4,5},{7,8}}
{{1,4},{2,5,8},{3,6},{7}}=>{{1,6},{2,5,8},{3,4},{7}}
{{1},{2,4,5},{3,6},{7,8}}=>{{1},{2,6},{3,4,5},{7,8}}
{{1,4,6,7},{2,3,5,8}}=>{{1,3,4,8},{2,5,6,7}}
{{1,6},{2,4},{3,7,8},{5}}=>{{1,7,8},{2,4},{3,6},{5}}
{{1,6},{2,4},{3,7},{5},{8}}=>{{1,7},{2,4},{3,6},{5},{8}}
{{1,5,6},{2,3,4,7},{8}}=>{{1,3,7},{2,4,5,6},{8}}
{{1,5,6},{2,3,4,7,8}}=>{{1,3,7,8},{2,4,5,6}}
{{1,5,6,7},{2,3,4,8}}=>{{1,3,8},{2,4,5,6,7}}
{{1,7},{2,8},{3,4},{5},{6}}=>{{1,4},{2,8},{3,7},{5},{6}}
{{1,6,7},{2,3,4,8},{5}}=>{{1,3,8},{2,4,6,7},{5}}
{{1,5,6,7},{2,4,8},{3}}=>{{1,4,5,6,7},{2,8},{3}}
{{1,5,7},{2,4,6,8},{3}}=>{{1,4,5,8},{2,6,7},{3}}
{{1,5},{2,3},{4,6,7},{8}}=>{{1,3},{2,6,7},{4,5},{8}}
{{1,5},{2,3},{4,6,7,8}}=>{{1,3},{2,6,7,8},{4,5}}
{{1,5},{2,3},{4,6,8},{7}}=>{{1,3},{2,6,8},{4,5},{7}}
{{1,5,6},{2,3,4,8},{7}}=>{{1,3,8},{2,4,5,6},{7}}
{{1,6},{2,4},{3,8},{5},{7}}=>{{1,8},{2,4},{3,6},{5},{7}}
{{1,5},{2,3},{4,6},{7},{8}}=>{{1,3},{2,6},{4,5},{7},{8}}
{{1,5},{2,3},{4,7,8},{6}}=>{{1,3},{2,7,8},{4,5},{6}}
{{1,5},{2,3},{4,8},{6},{7}}=>{{1,3},{2,8},{4,5},{6},{7}}
{{1,5},{2,3},{4,7},{6},{8}}=>{{1,3},{2,7},{4,5},{6},{8}}
{{1,6},{2,4},{3,5,7,8}}=>{{1,5,6},{2,4},{3,7,8}}
{{1,6},{2,5},{3,4,7,8}}=>{{1,4,6},{2,7,8},{3,5}}
{{1,5,6,8},{2,3,4,7}}=>{{1,3,7},{2,4,5,6,8}}
{{1,3,7},{2},{4,8},{5,6}}=>{{1,3,6},{2},{4,8},{5,7}}
{{1,3,6},{2},{4,7},{5},{8}}=>{{1,3,7},{2},{4,6},{5},{8}}
{{1,3},{2},{4,7},{5,8},{6}}=>{{1,3},{2},{4,8},{5,7},{6}}
{{1},{2,4,7},{3},{5,8},{6}}=>{{1},{2,4,8},{3},{5,7},{6}}
{{1},{2,7},{3,4,5,8},{6}}=>{{1},{2,4,8},{3,5,7},{6}}
{{1,6},{2,3,4,7},{5},{8}}=>{{1,3,7},{2,4,6},{5},{8}}
{{1,4,8},{2,6,7},{3},{5}}=>{{1,6,8},{2,4,7},{3},{5}}
{{1,4,6},{2,8},{3},{5,7}}=>{{1,7},{2,4,8},{3},{5,6}}
{{1,7},{2,4},{3,5,8},{6}}=>{{1,5,7},{2,4},{3,8},{6}}
{{1,5,8},{2,3,7},{4},{6}}=>{{1,3,5,8},{2,7},{4},{6}}
{{1},{2,5,8},{3,7},{4},{6}}=>{{1},{2,7},{3,5,8},{4},{6}}
{{1},{2,7},{3,5,8},{4,6}}=>{{1},{2,6},{3,5,7},{4,8}}
{{1,6},{2,4,7},{3,5},{8}}=>{{1,5},{2,4,6},{3,7},{8}}
{{1,7},{2,5},{3,4,6},{8}}=>{{1,4,7},{2,6},{3,5},{8}}
{{1},{2,8},{3,6},{4,5,7}}=>{{1},{2,5,8},{3,7},{4,6}}
{{1,6},{2,3,7},{4,5},{8}}=>{{1,3,7},{2,5},{4,6},{8}}
{{1},{2,7},{3,4,8},{5,6}}=>{{1},{2,4,8},{3,6},{5,7}}
{{1,5},{2,6,8},{3,4},{7}}=>{{1,4},{2,6,8},{3,5},{7}}
{{1,4},{2,5,7},{3},{6},{8}}=>{{1,5,7},{2,4},{3},{6},{8}}
{{1,4},{2,5},{3},{6,8},{7}}=>{{1,5},{2,4},{3},{6,8},{7}}
{{1,5},{2,3,6,8},{4},{7}}=>{{1,3,5},{2,6,8},{4},{7}}
{{1},{2,5},{3,6,8},{4},{7}}=>{{1},{2,6,8},{3,5},{4},{7}}
{{1},{2,5,6,7},{3,8},{4}}=>{{1},{2,8},{3,5,6,7},{4}}
{{1},{2,8},{3,5},{4,6,7}}=>{{1},{2,6,8},{3,5},{4,7}}
{{1},{2,6,7},{3,4,8},{5}}=>{{1},{2,4,6,7},{3,8},{5}}
{{1,5,6},{2,3,7},{4},{8}}=>{{1,3,5,6},{2,7},{4},{8}}
{{1},{2,6},{3,7},{4,8},{5}}=>{{1},{2,8},{3,7},{4,6},{5}}
{{1},{2,6},{3,7},{4},{5},{8}}=>{{1},{2,7},{3,6},{4},{5},{8}}
{{1},{2,5,6},{3,4,7},{8}}=>{{1},{2,4,5,6},{3,7},{8}}
{{1,6,7},{2,3,8},{4},{5}}=>{{1,3,6,7},{2,8},{4},{5}}
{{1},{2,4,6},{3,5,7},{8}}=>{{1},{2,5,6},{3,4,7},{8}}
{{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,6,7},{4,5},{8}}
{{1,4,6},{2},{3,5,8},{7}}=>{{1,5,6},{2},{3,4,8},{7}}
{{1,6},{2},{3,8},{4},{5},{7}}=>{{1,8},{2},{3,6},{4},{5},{7}}
{{1},{2},{3,5},{4,6},{7},{8}}=>{{1},{2},{3,6},{4,5},{7},{8}}
{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}}
{{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,7},{3},{4,5},{6},{8}}
{{1,7},{2},{3,4},{5,6,8}}=>{{1,4},{2},{3,6,7},{5,8}}
{{1,6,8},{2},{3,4},{5,7}}=>{{1,4},{2},{3,7},{5,6,8}}
{{1,2,7},{3},{4,5,8},{6}}=>{{1,2,5,7},{3},{4,8},{6}}
{{1,6,7},{2},{3,4},{5,8}}=>{{1,4},{2},{3,8},{5,6,7}}
{{1,8},{2},{3,4,6},{5,7}}=>{{1,4,6},{2},{3,7},{5,8}}
{{1},{2,4,8},{3,7},{5,6}}=>{{1},{2,6},{3,4,7},{5,8}}
{{1,3,8},{2,7},{4},{5,6}}=>{{1,6},{2,3,7},{4},{5,8}}
{{1,3},{2,7,8},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7,8}}
{{1},{2,4},{3,7,8},{5,6}}=>{{1},{2,6},{3,4},{5,7,8}}
{{1,3},{2,6,8},{4},{5,7}}=>{{1,7},{2,3},{4},{5,6,8}}
{{1},{2,6,8},{3,4},{5,7}}=>{{1},{2,4},{3,7},{5,6,8}}
{{1,6,8},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6,8}}
{{1},{2,6,7},{3,4},{5,8}}=>{{1},{2,4},{3,8},{5,6,7}}
{{1,3},{2,6,8},{4,7},{5}}=>{{1,7},{2,3},{4,6,8},{5}}
{{1,3,6,8},{2},{4,7},{5}}=>{{1,3,7},{2},{4,6,8},{5}}
{{1,4,7},{2,6},{3},{5,8}}=>{{1,8},{2,4,6},{3},{5,7}}
{{1,6,8},{2,4,7},{3},{5}}=>{{1,4,6,8},{2,7},{3},{5}}
{{1,4,5,7},{2},{3},{6,8}}=>{{1,4,5,8},{2},{3},{6,7}}
{{1,3,4},{2},{5,7},{6,8}}=>{{1,3,4},{2},{5,8},{6,7}}
{{1,3},{2,4},{5,7,8},{6}}=>{{1,4},{2,3},{5,7,8},{6}}
{{1,4},{2,5,6},{3},{7,8}}=>{{1,5,6},{2,4},{3},{7,8}}
{{1,5},{2,6,7,8},{3},{4}}=>{{1,6,7,8},{2,5},{3},{4}}
{{1,5},{2},{3,6,7,8},{4}}=>{{1,6,7,8},{2},{3,5},{4}}
{{1,4,5,8},{2},{3,7},{6}}=>{{1,7},{2},{3,4,5,8},{6}}
{{1,5},{2,4,6},{3,8},{7}}=>{{1,8},{2,4,5},{3,6},{7}}
{{1,4,5},{2},{3,7},{6,8}}=>{{1,8},{2},{3,4,5},{6,7}}
{{1},{2,4,7},{3,8},{5,6}}=>{{1},{2,6},{3,4,8},{5,7}}
{{1,6},{2,3,8},{4},{5,7}}=>{{1,3,8},{2,7},{4},{5,6}}
{{1},{2,6},{3,4,8},{5,7}}=>{{1},{2,4,8},{3,7},{5,6}}
{{1},{2,3},{4,5,7},{6,8}}=>{{1},{2,3},{4,5,8},{6,7}}
{{1},{2,3},{4,6,8},{5,7}}=>{{1},{2,3},{4,7},{5,6,8}}
{{1},{2,3,5,6},{4,7},{8}}=>{{1},{2,3,7},{4,5,6},{8}}
{{1},{2,3,5,7},{4,8},{6}}=>{{1},{2,3,8},{4,5,7},{6}}
{{1},{2,3,7},{4,6},{5,8}}=>{{1},{2,3,8},{4,6},{5,7}}
{{1},{2,3,6},{4,7},{5,8}}=>{{1},{2,3,8},{4,7},{5,6}}
{{1,3},{2,5,8},{4,6,7}}=>{{1,6,8},{2,3},{4,5,7}}
{{1,5},{2},{3,4,6,7},{8}}=>{{1,4,5},{2},{3,6,7},{8}}
{{1,5},{2,6,7},{3,4},{8}}=>{{1,4},{2,6,7},{3,5},{8}}
{{1,3},{2,5,7,8},{4,6}}=>{{1,6},{2,3},{4,5,7,8}}
{{1,4,5,7},{2},{3,6},{8}}=>{{1,6},{2},{3,4,5,7},{8}}
{{1,4},{2},{3,5,6,8},{7}}=>{{1,5,6,8},{2},{3,4},{7}}
{{1,4,8},{2},{3,5,7},{6}}=>{{1,5,8},{2},{3,4,7},{6}}
{{1,3,8},{2,5,7},{4},{6}}=>{{1,5,8},{2,3,7},{4},{6}}
{{1,3},{2,5,6,8},{4},{7}}=>{{1,5,6,8},{2,3},{4},{7}}
{{1,3,7},{2,6},{4,5},{8}}=>{{1,5},{2,3,6},{4,7},{8}}
{{1,5,8},{2,4,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}
{{1,6,8},{2,4},{3},{5,7}}=>{{1,4},{2,7},{3},{5,6,8}}
{{1,4,8},{2,6},{3},{5,7}}=>{{1,7},{2,4,6},{3},{5,8}}
{{1,7},{2},{3,4,6,8},{5}}=>{{1,4,8},{2},{3,6,7},{5}}
{{1},{2,7},{3,4,5},{6,8}}=>{{1},{2,4,8},{3,5},{6,7}}
{{1},{2,6},{3,4,5,8},{7}}=>{{1},{2,4,8},{3,5,6},{7}}
{{1,6},{2},{3,4,5,7},{8}}=>{{1,4,7},{2},{3,5,6},{8}}
{{1,6},{2,7},{3,4,5},{8}}=>{{1,4,6},{2,5},{3,7},{8}}
{{1,7},{2,4},{3,5,6,8}}=>{{1,5,8},{2,4},{3,6,7}}
{{1,4},{2,7},{3,5,6,8}}=>{{1,5,8},{2,6,7},{3,4}}
{{1,4,8},{2,6},{3,5,7}}=>{{1,5,8},{2,7},{3,4,6}}
{{1,6,8},{2,4},{3,5,7}}=>{{1,5,6,8},{2,4},{3,7}}
{{1,3,8},{2,5,7},{4,6}}=>{{1,6},{2,3,5,8},{4,7}}
{{1,5},{2,7},{3,4,6},{8}}=>{{1,4,5},{2,6},{3,7},{8}}
{{1},{2,4,8},{3,5,6},{7}}=>{{1},{2,5,8},{3,4,6},{7}}
{{1,6},{2,4,5},{3,7},{8}}=>{{1,7},{2,4,6},{3,5},{8}}
{{1},{2,7},{3,5,6},{4,8}}=>{{1},{2,8},{3,5,7},{4,6}}
{{1},{2,5,8},{3,6,7},{4}}=>{{1},{2,6,8},{3,5,7},{4}}
{{1,4,7},{2,5,6},{3},{8}}=>{{1,5,7},{2,4,6},{3},{8}}
{{1},{2,6,8},{3,4,7},{5}}=>{{1},{2,4,6,8},{3,7},{5}}
{{1,5,7},{2,3,6},{4},{8}}=>{{1,3,5,7},{2,6},{4},{8}}
{{1,3},{2,6},{4,5,8},{7}}=>{{1,5,6},{2,3},{4,8},{7}}
{{1,4,6},{2,3,8},{5},{7}}=>{{1,3,4,6},{2,8},{5},{7}}
{{1,4},{2,3,8},{5,6},{7}}=>{{1,3,4},{2,6},{5,8},{7}}
{{1,2,6},{3,8},{4},{5,7}}=>{{1,2,7},{3,8},{4},{5,6}}
{{1},{2,6},{3,8},{4},{5,7}}=>{{1},{2,7},{3,8},{4},{5,6}}
{{1},{2,5,6,7},{3,4,8}}=>{{1},{2,4,5,6,7},{3,8}}
{{1,7},{2,8},{3},{4},{5,6}}=>{{1,6},{2,8},{3},{4},{5,7}}
{{1,5,6,7},{2,3,8},{4}}=>{{1,3,5,6,7},{2,8},{4}}
{{1,5,7},{2,3,4,8},{6}}=>{{1,3,8},{2,4,5,7},{6}}
{{1},{2,3,5},{4,8},{6,7}}=>{{1},{2,3,7},{4,5},{6,8}}
{{1,2,3,5},{4,8},{6,7}}=>{{1,2,3,7},{4,5},{6,8}}
{{1,3,5},{2},{4,8},{6,7}}=>{{1,3,7},{2},{4,5},{6,8}}
{{1,5,6,7},{2},{3,4,8}}=>{{1,4,5,6,7},{2},{3,8}}
{{1,6},{2},{3,8},{4},{5,7}}=>{{1,7},{2},{3,8},{4},{5,6}}
{{1},{2},{3,5},{4,8},{6,7}}=>{{1},{2},{3,7},{4,5},{6,8}}
{{1,2,5},{3},{4,8},{6,7}}=>{{1,2,7},{3},{4,5},{6,8}}
{{1,5},{2},{3},{4,8},{6,7}}=>{{1,7},{2},{3},{4,5},{6,8}}
{{1},{2,5},{3},{4,8},{6,7}}=>{{1},{2,7},{3},{4,5},{6,8}}
{{1,2,4,6},{3,8},{5,7}}=>{{1,2,7},{3,4,8},{5,6}}
{{1,2,5,6},{3,8},{4,7}}=>{{1,2,7},{3,8},{4,5,6}}
{{1,3,4,8},{2,5,6,7}}=>{{1,5,7},{2,3,4,6,8}}
{{1,5,8},{2,4},{3,7},{6}}=>{{1,7},{2,4},{3,5,8},{6}}
{{1,4},{2,7},{3,5,8},{6}}=>{{1,5,7},{2,8},{3,4},{6}}
{{1},{2,7},{3,8},{4,5,6}}=>{{1},{2,5,7},{3,6},{4,8}}
{{1,5},{2,4,6},{3,7},{8}}=>{{1,7},{2,4,5},{3,6},{8}}
{{1,6},{2,3,5},{4,7},{8}}=>{{1,3,5},{2,7},{4,6},{8}}
{{1,4,6},{2,7},{3},{5,8}}=>{{1,8},{2,4,7},{3},{5,6}}
{{1},{2,5},{3,8},{4,6,7}}=>{{1},{2,6,8},{3,7},{4,5}}
{{1},{2,3,7},{4,8},{5},{6}}=>{{1},{2,3,8},{4,7},{5},{6}}
{{1,4,7},{2,3},{5},{6,8}}=>{{1,3},{2,4,8},{5},{6,7}}
{{1},{2,4},{3,7,8},{5},{6}}=>{{1},{2,7,8},{3,4},{5},{6}}
{{1},{2,5,7},{3,4,8},{6}}=>{{1},{2,4,5,7},{3,8},{6}}
{{1,5,6},{2,4},{3,7},{8}}=>{{1,7},{2,4},{3,5,6},{8}}
{{1},{2,4},{3,5},{6,7},{8}}=>{{1},{2,5},{3,4},{6,7},{8}}
{{1},{2,4,8},{3,5},{6},{7}}=>{{1},{2,5},{3,4,8},{6},{7}}
{{1},{2,4,6},{3,5},{7,8}}=>{{1},{2,5},{3,4,6},{7,8}}
{{1},{2,5},{3,6},{4},{7,8}}=>{{1},{2,6},{3,5},{4},{7,8}}
{{1},{2,5,7},{3,6,8},{4}}=>{{1},{2,6,7},{3,5,8},{4}}
{{1},{2,5,7},{3,8},{4,6}}=>{{1},{2,6},{3,8},{4,5,7}}
{{1,8},{2,4},{3,5,7},{6}}=>{{1,5,8},{2,4},{3,7},{6}}
{{1,6,7},{2,4},{3,5},{8}}=>{{1,5},{2,4},{3,6,7},{8}}
{{1},{2,5},{3,6},{4,7},{8}}=>{{1},{2,7},{3,6},{4,5},{8}}
{{1},{2,5},{3,6,8},{4,7}}=>{{1},{2,7},{3,6,8},{4,5}}
{{1},{2,3,6,7},{4,8},{5}}=>{{1},{2,3,8},{4,6,7},{5}}
{{1,3,5,8},{2},{4,7},{6}}=>{{1,3,7},{2},{4,5,8},{6}}
{{1,5,6},{2},{3,7,8},{4}}=>{{1,7,8},{2},{3,5,6},{4}}
{{1,4,7},{2},{3,5,8},{6}}=>{{1,5,7},{2},{3,4,8},{6}}
{{1,4},{2,6,8},{3,7},{5}}=>{{1,7},{2,6,8},{3,4},{5}}
{{1,5},{2,3,7,8},{4},{6}}=>{{1,3,5},{2,7,8},{4},{6}}
{{1},{2,3,6,8},{4},{5,7}}=>{{1},{2,3,7},{4},{5,6,8}}
{{1,2},{3},{4,6},{5,7,8}}=>{{1,2},{3},{4,7,8},{5,6}}
{{1},{2,5,6,8},{3},{4,7}}=>{{1},{2,7},{3},{4,5,6,8}}
{{1},{2},{3,5,6,8},{4,7}}=>{{1},{2},{3,7},{4,5,6,8}}
{{1},{2,4,5,7},{3,8},{6}}=>{{1},{2,8},{3,4,5,7},{6}}
{{1},{2},{3,4,6,7},{5,8}}=>{{1},{2},{3,4,8},{5,6,7}}
{{1},{2,6},{3,7,8},{4,5}}=>{{1},{2,5},{3,7,8},{4,6}}
{{1},{2,6,7},{3,5},{4,8}}=>{{1},{2,8},{3,5},{4,6,7}}
{{1},{2},{3,6,8},{4,5,7}}=>{{1},{2},{3,5,6,8},{4,7}}
{{1},{2,3},{4,7},{5,6,8}}=>{{1},{2,3},{4,6,7},{5,8}}
{{1,7,8},{2,4},{3,5},{6}}=>{{1,5},{2,4},{3,7,8},{6}}
{{1,4,6,8},{2},{3},{5,7}}=>{{1,4,7},{2},{3},{5,6,8}}
{{1},{2,4,6},{3,7,8},{5}}=>{{1},{2,7,8},{3,4,6},{5}}
{{1,3},{2},{4,6},{5,7,8}}=>{{1,3},{2},{4,7,8},{5,6}}
{{1},{2,4,6,7},{3},{5,8}}=>{{1},{2,4,8},{3},{5,6,7}}
{{1},{2,5},{3,7,8},{4,6}}=>{{1},{2,6},{3,7,8},{4,5}}
{{1,4,7},{2},{3,6,8},{5}}=>{{1,6,7},{2},{3,4,8},{5}}
{{1,3},{2,4,5},{6,8},{7}}=>{{1,4,5},{2,3},{6,8},{7}}
{{1,3},{2,8},{4,6,7},{5}}=>{{1,6,8},{2,3},{4,7},{5}}
{{1,3},{2,4,5},{6,7},{8}}=>{{1,4,5},{2,3},{6,7},{8}}
{{1,4},{2,7,8},{3},{5,6}}=>{{1,6},{2,4},{3},{5,7,8}}
{{1,4},{2,3,7,8},{5},{6}}=>{{1,3,4},{2,7,8},{5},{6}}
{{1,3,8},{2,4},{5},{6,7}}=>{{1,4},{2,3,7},{5},{6,8}}
{{1,6,8},{2},{3},{4,5,7}}=>{{1,5,6,8},{2},{3},{4,7}}
{{1,5},{2,3,7},{4,6},{8}}=>{{1,3,7},{2,6},{4,5},{8}}
{{1,4},{2,3,6,7},{5},{8}}=>{{1,3,4},{2,6,7},{5},{8}}
{{1,4,6},{2,3,7},{5},{8}}=>{{1,3,4,6},{2,7},{5},{8}}
{{1,6},{2,4,5,7},{3},{8}}=>{{1,4,7},{2,5,6},{3},{8}}
{{1,7},{2,4,5},{3,6},{8}}=>{{1,6},{2,4,7},{3,5},{8}}
{{1,5,6,7},{2},{3},{4,8}}=>{{1,8},{2},{3},{4,5,6,7}}
{{1,5,7},{2,6},{3,4},{8}}=>{{1,4},{2,6},{3,5,7},{8}}
{{1},{2,6,7},{3,5,8},{4}}=>{{1},{2,5,6,7},{3,8},{4}}
{{1,3},{2},{4,6,7},{5,8}}=>{{1,3},{2},{4,8},{5,6,7}}
{{1,6},{2,5,8},{3,4,7}}=>{{1,4,8},{2,7},{3,5,6}}
{{1,3,6,7},{2,4,5,8}}=>{{1,4,8},{2,3,5,6,7}}
{{1},{2,8},{3,5,6},{4,7}}=>{{1},{2,7},{3,5,8},{4,6}}
{{1},{2,5,6,7},{3},{4,8}}=>{{1},{2,8},{3},{4,5,6,7}}
{{1,6},{2,7,8},{3,4},{5}}=>{{1,4},{2,7,8},{3,6},{5}}
{{1,5},{2,7},{3,4,6,8}}=>{{1,4,5},{2,6,7},{3,8}}
{{1,7},{2},{3,8},{4,5,6}}=>{{1,5,7},{2},{3,6},{4,8}}
{{1,7},{2,4,5},{3,6,8}}=>{{1,6,7},{2,4,8},{3,5}}
{{1},{2,6,8},{3,7},{4,5}}=>{{1},{2,5},{3,7},{4,6,8}}
{{1},{2,4,5,8},{3,7},{6}}=>{{1},{2,7},{3,4,5,8},{6}}
{{1},{2,4,5},{3,7,8},{6}}=>{{1},{2,7,8},{3,4,5},{6}}
{{1},{2,6},{3,8},{4,5,7}}=>{{1},{2,5,6},{3,7},{4,8}}
{{1,4,5,6},{2},{3,8},{7}}=>{{1,8},{2},{3,4,5,6},{7}}
{{1,3,5,6},{2},{4,8},{7}}=>{{1,3,8},{2},{4,5,6},{7}}
{{1},{2,4,6,7},{3,8},{5}}=>{{1},{2,8},{3,4,6,7},{5}}
{{1,5},{2,7,8},{3,4},{6}}=>{{1,4},{2,7,8},{3,5},{6}}
{{1,3,5},{2},{4,7,8},{6}}=>{{1,3,7,8},{2},{4,5},{6}}
{{1,3},{2,5},{4,7,8},{6}}=>{{1,7,8},{2,3},{4,5},{6}}
{{1,7},{2,6},{3},{4,5,8}}=>{{1,5,7},{2,8},{3},{4,6}}
{{1,3},{2,7,8},{4,6},{5}}=>{{1,6},{2,3},{4,7,8},{5}}
{{1,4,5},{2,8},{3,7},{6}}=>{{1,7},{2,8},{3,4,5},{6}}
{{1,3,6},{2,4},{5},{7,8}}=>{{1,4},{2,3,6},{5},{7,8}}
{{1,3,6},{2},{4,5,8},{7}}=>{{1,3,5,6},{2},{4,8},{7}}
{{1,2},{3,5},{4,7,8},{6}}=>{{1,2},{3,7,8},{4,5},{6}}
{{1},{2,3,4,7},{5,8},{6}}=>{{1},{2,3,4,8},{5,7},{6}}
{{1,4,8},{2,5,7},{3},{6}}=>{{1,5,8},{2,4,7},{3},{6}}
{{1},{2,3,4,6},{5,8},{7}}=>{{1},{2,3,4,8},{5,6},{7}}
{{1},{2,4,5,8},{3,6},{7}}=>{{1},{2,6},{3,4,5,8},{7}}
{{1,6},{2},{3,4,5,8},{7}}=>{{1,4,8},{2},{3,5,6},{7}}
{{1},{2,4},{3,6},{5,8},{7}}=>{{1},{2,8},{3,4},{5,6},{7}}
{{1,3},{2},{4,6},{5,8},{7}}=>{{1,3},{2},{4,8},{5,6},{7}}
{{1,3},{2,5},{4},{6,8},{7}}=>{{1,5},{2,3},{4},{6,8},{7}}
{{1},{2,4,5,6},{3,8},{7}}=>{{1},{2,8},{3,4,5,6},{7}}
{{1},{2,6},{3,5},{4,8},{7}}=>{{1},{2,8},{3,5},{4,6},{7}}
{{1,5},{2,4},{3,7},{6},{8}}=>{{1,7},{2,4},{3,5},{6},{8}}
{{1,5},{2,4,6,7},{3},{8}}=>{{1,4,5},{2,6,7},{3},{8}}
{{1},{2,6},{3,5,7,8},{4}}=>{{1},{2,5,6},{3,7,8},{4}}
{{1},{2,8},{3,5},{4,7},{6}}=>{{1},{2,7},{3,5},{4,8},{6}}
{{1,7},{2,4},{3,6},{5},{8}}=>{{1,6},{2,4},{3,7},{5},{8}}
{{1},{2,5,7,8},{3,6},{4}}=>{{1},{2,6},{3,5,7,8},{4}}
{{1,5,6},{2,4,7},{3},{8}}=>{{1,4,5,6},{2,7},{3},{8}}
{{1,3},{2,5,6,7},{4},{8}}=>{{1,5,6,7},{2,3},{4},{8}}
{{1,3},{2,6,7,8},{4},{5}}=>{{1,6,7,8},{2,3},{4},{5}}
{{1},{2,4},{3,6,7,8},{5}}=>{{1},{2,6,7,8},{3,4},{5}}
{{1},{2,4},{3,8},{5,7},{6}}=>{{1},{2,7},{3,4},{5,8},{6}}
{{1,3},{2,7},{4,6},{5},{8}}=>{{1,6},{2,3},{4,7},{5},{8}}
{{1},{2,4,7},{3,6,8},{5}}=>{{1},{2,6,7},{3,4,8},{5}}
{{1,4,7},{2,3,5},{6},{8}}=>{{1,3,4,7},{2,5},{6},{8}}
{{1,4,7},{2,3,6},{5},{8}}=>{{1,3,4,7},{2,6},{5},{8}}
{{1,5},{2,3,6,7},{4},{8}}=>{{1,3,5},{2,6,7},{4},{8}}
{{1,4},{2,3,7},{5,6},{8}}=>{{1,3,4},{2,6},{5,7},{8}}
{{1},{2,5,8},{3,4,6},{7}}=>{{1},{2,4,5,8},{3,6},{7}}
{{1},{2,5,7},{3,4,6},{8}}=>{{1},{2,4,5,7},{3,6},{8}}
{{1},{2,3,6},{4,5,7},{8}}=>{{1},{2,3,5,6},{4,7},{8}}
{{1,6},{2,3},{4,5,7},{8}}=>{{1,3},{2,5,6},{4,7},{8}}
{{1,3,6},{2},{4,5,7},{8}}=>{{1,3,5,6},{2},{4,7},{8}}
{{1,4},{2,3,5},{6,7},{8}}=>{{1,3,4},{2,5},{6,7},{8}}
{{1,6},{2,5,7},{3,4},{8}}=>{{1,4},{2,5,6},{3,7},{8}}
{{1,4},{2,3,5},{6,8},{7}}=>{{1,3,4},{2,5},{6,8},{7}}
{{1},{2,3,6},{4,5,8},{7}}=>{{1},{2,3,5,6},{4,8},{7}}
{{1},{2,5,8},{3,4,7},{6}}=>{{1},{2,4,5,8},{3,7},{6}}
{{1},{2,3,7},{4,6,8},{5}}=>{{1},{2,3,6,7},{4,8},{5}}
{{1},{2,3,7},{4,5,8},{6}}=>{{1},{2,3,5,7},{4,8},{6}}
{{1,4,8},{2},{3,5},{6,7}}=>{{1,5},{2},{3,4,7},{6,8}}
{{1,6,8},{2},{3,5},{4,7}}=>{{1,7},{2},{3,5},{4,6,8}}
{{1,4},{2,3,5,8},{6},{7}}=>{{1,3,4},{2,5,8},{6},{7}}
{{1,2,6,8},{3},{4},{5,7}}=>{{1,2,7},{3},{4},{5,6,8}}
{{1,2},{3,6,8},{4},{5,7}}=>{{1,2},{3,7},{4},{5,6,8}}
{{1,8},{2},{3,6},{4,5,7}}=>{{1,5,8},{2},{3,7},{4,6}}
{{1,8},{2},{3,5,6},{4,7}}=>{{1,7},{2},{3,5,8},{4,6}}
{{1,5,8},{2},{3,4,6},{7}}=>{{1,4,5,8},{2},{3,6},{7}}
{{1,3},{2,4,8},{5},{6,7}}=>{{1,4,7},{2,3},{5},{6,8}}
{{1,5},{2,6},{3,4,7},{8}}=>{{1,4,5},{2,7},{3,6},{8}}
{{1,4,5},{2,3,6},{7},{8}}=>{{1,3,4,5},{2,6},{7},{8}}
{{1,5},{2,4},{3,6,7},{8}}=>{{1,6,7},{2,4},{3,5},{8}}
{{1,5},{2,3,6},{4,7},{8}}=>{{1,3,6},{2,7},{4,5},{8}}
{{1,5},{2,3,4,6},{7},{8}}=>{{1,3,6},{2,4,5},{7},{8}}
{{1,5,7},{2,3},{4,6},{8}}=>{{1,3},{2,6},{4,5,7},{8}}
{{1,4},{2,5,7},{3,6},{8}}=>{{1,6},{2,5,7},{3,4},{8}}
{{1,2,5},{3,7},{4,6},{8}}=>{{1,2,6},{3,7},{4,5},{8}}
{{1,2,4},{3,8},{5,6},{7}}=>{{1,2,6},{3,4},{5,8},{7}}
{{1,2,3},{4,7},{5},{6,8}}=>{{1,2,3},{4,8},{5},{6,7}}
{{1,2,5},{3},{4,6,7},{8}}=>{{1,2,6,7},{3},{4,5},{8}}
{{1,2,7},{3},{4,8},{5,6}}=>{{1,2,6},{3},{4,8},{5,7}}
{{1,2,5},{3,8},{4},{6,7}}=>{{1,2,7},{3,5},{4},{6,8}}
{{1,4},{2,5,7,8},{3},{6}}=>{{1,5,7,8},{2,4},{3},{6}}
{{1,2,6},{3},{4,5,7},{8}}=>{{1,2,5,6},{3},{4,7},{8}}
{{1,2,5,6},{3},{4,7},{8}}=>{{1,2,7},{3},{4,5,6},{8}}
{{1},{2,6},{3,4,7,8},{5}}=>{{1},{2,4,6},{3,7,8},{5}}
{{1,3},{2},{4,7},{5,6,8}}=>{{1,3},{2},{4,6,7},{5,8}}
{{1,4},{2},{3,6,7,8},{5}}=>{{1,6,7,8},{2},{3,4},{5}}
{{1},{2,3,7},{4},{5,6,8}}=>{{1},{2,3,6,7},{4},{5,8}}
{{1},{2,3,6},{4},{5,7,8}}=>{{1},{2,3,7,8},{4},{5,6}}
{{1},{2,3},{4,6,7},{5,8}}=>{{1},{2,3},{4,8},{5,6,7}}
{{1},{2,3},{4,6},{5,7,8}}=>{{1},{2,3},{4,7,8},{5,6}}
{{1,4},{2,6},{3,7,8},{5}}=>{{1,7,8},{2,6},{3,4},{5}}
{{1},{2,3,5,6},{4,8},{7}}=>{{1},{2,3,8},{4,5,6},{7}}
{{1},{2,3,5},{4,7,8},{6}}=>{{1},{2,3,7,8},{4,5},{6}}
{{1},{2,5},{3,4,7,8},{6}}=>{{1},{2,4,5},{3,7,8},{6}}
{{1,4,7},{2},{3,6},{5,8}}=>{{1,8},{2},{3,4,6},{5,7}}
{{1},{2,4,8},{3,6,7},{5}}=>{{1},{2,6,8},{3,4,7},{5}}
{{1},{2,3,6},{4,7,8},{5}}=>{{1},{2,3,7,8},{4,6},{5}}
{{1,4,5,7},{2,3,6,8}}=>{{1,3,4,5,8},{2,6,7}}
{{1,5},{2,3,7},{4,6,8}}=>{{1,3,8},{2,6,7},{4,5}}
{{1,5},{2,3,6,8},{4,7}}=>{{1,3,6,8},{2,7},{4,5}}
{{1},{2,5},{3,4,7},{6,8}}=>{{1},{2,4,5},{3,8},{6,7}}
{{1,5},{2,6,8},{3,4,7}}=>{{1,4,5},{2,7},{3,6,8}}
{{1,5,7},{2,6},{3,4,8}}=>{{1,4,5,7},{2,8},{3,6}}
{{1,6},{2,5,7},{3,4,8}}=>{{1,4,7},{2,8},{3,5,6}}
{{1,5,7},{2,3,6},{4,8}}=>{{1,3,6},{2,8},{4,5,7}}
{{1,5,7},{2,3,8},{4,6}}=>{{1,3,8},{2,6},{4,5,7}}
{{1},{2,7},{3,6},{4,5,8}}=>{{1},{2,5,7},{3,8},{4,6}}
{{1,7},{2,4,5,8},{3,6}}=>{{1,6},{2,4,8},{3,5,7}}
{{1,7},{2,5,8},{3,4,6}}=>{{1,4,8},{2,6},{3,5,7}}
{{1,6},{2,5},{3,4,7},{8}}=>{{1,4,6},{2,7},{3,5},{8}}
{{1,6},{2,4,5,8},{3,7}}=>{{1,7},{2,4,8},{3,5,6}}
{{1,4,5},{2,7},{3,6},{8}}=>{{1,6},{2,7},{3,4,5},{8}}
{{1},{2,4,5,7},{3,6},{8}}=>{{1},{2,6},{3,4,5,7},{8}}
{{1,4,5,7},{2,8},{3,6}}=>{{1,6},{2,8},{3,4,5,7}}
{{1,4,5},{2,7},{3,6,8}}=>{{1,6,7},{2,8},{3,4,5}}
{{1,7},{2,5},{3,4,6,8}}=>{{1,4,8},{2,6,7},{3,5}}
{{1},{2,6},{3,4,5,7},{8}}=>{{1},{2,4,7},{3,5,6},{8}}
{{1},{2,7},{3,6,8},{4,5}}=>{{1},{2,5},{3,6,7},{4,8}}
{{1,6},{2,4,5,7},{3,8}}=>{{1,8},{2,4,7},{3,5,6}}
{{1,5,7},{2,8},{3,4,6}}=>{{1,4,5,7},{2,6},{3,8}}
{{1,3,6},{2,7},{4,5},{8}}=>{{1,5},{2,3,7},{4,6},{8}}
{{1},{2,6,8},{3},{4,7},{5}}=>{{1},{2,7},{3},{4,6,8},{5}}
{{1,3},{2},{4,7},{5},{6,8}}=>{{1,3},{2},{4,8},{5},{6,7}}
{{1,3,4,7},{2},{5},{6,8}}=>{{1,3,4,8},{2},{5},{6,7}}
{{1,4},{2},{3,5},{6,8},{7}}=>{{1,5},{2},{3,4},{6,8},{7}}
{{1,5,7},{2},{3,6},{4},{8}}=>{{1,6},{2},{3,5,7},{4},{8}}
{{1},{2,7},{3,5},{4},{6,8}}=>{{1},{2,5},{3,8},{4},{6,7}}
{{1,6},{2,4},{3},{5,7},{8}}=>{{1,4},{2,7},{3},{5,6},{8}}
{{1},{2,7},{3,5,6,8},{4}}=>{{1},{2,5,8},{3,6,7},{4}}
{{1},{2,8},{3,6},{4},{5,7}}=>{{1},{2,7},{3,6},{4},{5,8}}
{{1,7},{2,5},{3},{4,6},{8}}=>{{1,6},{2,5},{3},{4,7},{8}}
{{1},{2,7},{3,4,6,8},{5}}=>{{1},{2,4,8},{3,6,7},{5}}
{{1,6},{2,3,5,7},{4},{8}}=>{{1,3,7},{2,5,6},{4},{8}}
{{1,4,5,8},{2},{3,6},{7}}=>{{1,6},{2},{3,4,5,8},{7}}
{{1,3,4,6},{2},{5,8},{7}}=>{{1,3,4,8},{2},{5,6},{7}}
{{1},{2,6},{3},{4,8},{5,7}}=>{{1},{2,7},{3},{4,8},{5,6}}
{{1,5},{2},{3,7},{4,6},{8}}=>{{1,6},{2},{3,7},{4,5},{8}}
{{1},{2,6},{3,5,8},{4,7}}=>{{1},{2,7},{3,5,6},{4,8}}
{{1,5},{2,4,7},{3,6},{8}}=>{{1,6},{2,4,5},{3,7},{8}}
{{1},{2,5},{3,4,6,8},{7}}=>{{1},{2,4,5},{3,6,8},{7}}
{{1,4},{2,3,5,7},{6},{8}}=>{{1,3,4},{2,5,7},{6},{8}}
{{1},{2,5,6,8},{3,7},{4}}=>{{1},{2,7},{3,5,6,8},{4}}
{{1},{2,7},{3,5},{4,6,8}}=>{{1},{2,6,7},{3,5},{4,8}}
{{1,5},{2,3,7},{4},{6},{8}}=>{{1,3,5},{2,7},{4},{6},{8}}
{{1,5},{2,3,8},{4},{6},{7}}=>{{1,3,5},{2,8},{4},{6},{7}}
{{1,5,8},{2,3,6},{4},{7}}=>{{1,3,5,8},{2,6},{4},{7}}
{{1,6},{2,3,8},{4},{5},{7}}=>{{1,3,6},{2,8},{4},{5},{7}}
{{1,6},{2,4,8},{3},{5},{7}}=>{{1,4,6},{2,8},{3},{5},{7}}
{{1,6,8},{2,3,7},{4},{5}}=>{{1,3,6,8},{2,7},{4},{5}}
{{1,6},{2,3},{4,7},{5},{8}}=>{{1,3},{2,7},{4,6},{5},{8}}
{{1,6},{2,3},{4,7,8},{5}}=>{{1,3},{2,7,8},{4,6},{5}}
{{1,7},{2,3},{4,8},{5},{6}}=>{{1,3},{2,8},{4,7},{5},{6}}
{{1,7},{2,4},{3,8},{5},{6}}=>{{1,8},{2,4},{3,7},{5},{6}}
{{1,5},{2},{3,4,7},{6,8}}=>{{1,4,5},{2},{3,8},{6,7}}
{{1},{2,4},{3,5,7},{6,8}}=>{{1},{2,5,8},{3,4},{6,7}}
{{1,7},{2,5},{3},{4,8},{6}}=>{{1,8},{2,5},{3},{4,7},{6}}
{{1,5,8},{2,4,6},{3},{7}}=>{{1,4,5,8},{2,6},{3},{7}}
{{1,4,8},{2,3,5},{6},{7}}=>{{1,3,4,8},{2,5},{6},{7}}
{{1},{2,4},{3,5,7},{6},{8}}=>{{1},{2,5,7},{3,4},{6},{8}}
{{1},{2,4},{3,5,8},{6},{7}}=>{{1},{2,5,8},{3,4},{6},{7}}
{{1},{2,4,7},{3,5,6},{8}}=>{{1},{2,5,7},{3,4,6},{8}}
{{1,7},{2,3,5},{4},{6,8}}=>{{1,3,8},{2,5},{4},{6,7}}
{{1},{2,4,5},{3,8},{6,7}}=>{{1},{2,7},{3,4,5},{6,8}}
{{1},{2,3,8},{4,6},{5,7}}=>{{1},{2,3,7},{4,6},{5,8}}
{{1},{2,4,5,7},{3},{6,8}}=>{{1},{2,4,5,8},{3},{6,7}}
{{1,3,7},{2},{4,5},{6,8}}=>{{1,3,5},{2},{4,8},{6,7}}
{{1},{2,4,7},{3,5,8},{6}}=>{{1},{2,5,7},{3,4,8},{6}}
{{1},{2},{3,5,7,8},{4,6}}=>{{1},{2},{3,6},{4,5,7,8}}
{{1},{2},{3,5,8},{4,6,7}}=>{{1},{2},{3,6,8},{4,5,7}}
{{1},{2,5,7},{3,6},{4,8}}=>{{1},{2,8},{3,6},{4,5,7}}
{{1,5,7,8},{2},{3},{4,6}}=>{{1,6},{2},{3},{4,5,7,8}}
{{1},{2,5,7,8},{3},{4,6}}=>{{1},{2,6},{3},{4,5,7,8}}
{{1,5,6,7},{2},{3,8},{4}}=>{{1,8},{2},{3,5,6,7},{4}}
{{1,7,8},{2},{3,5},{4,6}}=>{{1,6},{2},{3,5},{4,7,8}}
{{1,5,6,8},{2},{3},{4,7}}=>{{1,7},{2},{3},{4,5,6,8}}
{{1},{2,3,5},{4,6,7,8}}=>{{1},{2,3,6,7,8},{4,5}}
{{1,3},{2,5,6,7,8},{4}}=>{{1,5,6,7,8},{2,3},{4}}
{{1},{2},{3,7},{4},{5,6,8}}=>{{1},{2},{3,6,7},{4},{5,8}}
{{1},{2,3,6},{4,8},{5},{7}}=>{{1},{2,3,8},{4,6},{5},{7}}
{{1,3,7},{2,5,6,8},{4}}=>{{1,5,8},{2,3,6,7},{4}}
{{1},{2,4,7,8},{3,5,6}}=>{{1},{2,5,7,8},{3,4,6}}
{{1},{2,3,5},{4,6,8},{7}}=>{{1},{2,3,6,8},{4,5},{7}}
{{1},{2,3,5,6},{4,7,8}}=>{{1},{2,3,7,8},{4,5,6}}
{{1,4,5,6,8},{2,3,7}}=>{{1,3,4,5,6,8},{2,7}}
{{1},{2,3,7},{4,5,6,8}}=>{{1},{2,3,5,8},{4,6,7}}
{{1},{2,3,4,7},{5,6,8}}=>{{1},{2,3,4,6,7},{5,8}}
{{1},{2},{3,4,7},{5},{6,8}}=>{{1},{2},{3,4,8},{5},{6,7}}
{{1,4},{2},{3,5,6,7,8}}=>{{1,5,6,7,8},{2},{3,4}}
{{1,3},{2,5,6},{4},{7,8}}=>{{1,5,6},{2,3},{4},{7,8}}
{{1,4},{2,5},{3,7,8},{6}}=>{{1,7,8},{2,5},{3,4},{6}}
{{1,6},{2},{3,7},{4,5,8}}=>{{1,5,6},{2},{3,8},{4,7}}
{{1,7},{2},{3,5},{4,6,8}}=>{{1,6,7},{2},{3,5},{4,8}}
{{1,3},{2,5,7,8},{4},{6}}=>{{1,5,7,8},{2,3},{4},{6}}
{{1,7},{2},{3,5,6,8},{4}}=>{{1,5,8},{2},{3,6,7},{4}}
{{1,7},{2},{3,5,8},{4,6}}=>{{1,6},{2},{3,5,7},{4,8}}
{{1,6},{2},{3,5,7},{4,8}}=>{{1,8},{2},{3,5,6},{4,7}}
{{1,8},{2},{3,5,7},{4,6}}=>{{1,6},{2},{3,5,8},{4,7}}
{{1,4,6},{2,3,5},{7},{8}}=>{{1,3,4,6},{2,5},{7},{8}}
{{1,5,8},{2},{3},{4,6,7}}=>{{1,6,8},{2},{3},{4,5,7}}
{{1,5,6},{2},{3,4,7},{8}}=>{{1,4,5,6},{2},{3,7},{8}}
{{1,3,6},{2,4,5},{7},{8}}=>{{1,4,6},{2,3,5},{7},{8}}
{{1,4,7},{2,3,5,6},{8}}=>{{1,3,4,6},{2,5,7},{8}}
{{1,6},{2,3,5,7,8},{4}}=>{{1,3,7,8},{2,5,6},{4}}
{{1,4,6},{2,3,7,8},{5}}=>{{1,3,4,6},{2,7,8},{5}}
{{1,3,5,6,8},{2},{4,7}}=>{{1,3,7},{2},{4,5,6,8}}
{{1,4,5,8},{2,7},{3,6}}=>{{1,6},{2,7},{3,4,5,8}}
{{1},{2,4,5,7,8},{3,6}}=>{{1},{2,6},{3,4,5,7,8}}
{{1},{2,4,6,8},{3,5,7}}=>{{1},{2,5,6,8},{3,4,7}}
{{1,4,7},{2,6},{3,5,8}}=>{{1,5,7},{2,8},{3,4,6}}
{{1,5},{2,4,7},{3,6,8}}=>{{1,6,7},{2,4,5},{3,8}}
{{1,3,5,7},{2},{4,6,8}}=>{{1,3,6,7},{2},{4,5,8}}
{{1,3,6},{2},{4,5,7,8}}=>{{1,3,5,6},{2},{4,7,8}}
{{1},{2,5,8},{3,4,6,7}}=>{{1},{2,4,5,7},{3,6,8}}
{{1,5,6,8},{2,4,7},{3}}=>{{1,4,5,6,8},{2,7},{3}}
{{1,6},{2,4,5,7,8},{3}}=>{{1,4,7,8},{2,5,6},{3}}
{{1,2,4,6,7},{3},{5,8}}=>{{1,2,4,8},{3},{5,6,7}}
{{1,3,5},{2,4,6,8},{7}}=>{{1,4,5},{2,3,6,8},{7}}
{{1,4},{2,3,5,6,8},{7}}=>{{1,3,4},{2,5,6,8},{7}}
{{1,3,4,6,7},{2},{5,8}}=>{{1,3,4,8},{2},{5,6,7}}
{{1},{2,3,5,6,8},{4,7}}=>{{1},{2,3,7},{4,5,6,8}}
{{1,3,7},{2,4,6,8},{5}}=>{{1,4,8},{2,3,6,7},{5}}
{{1,4},{2,3,5,7,8},{6}}=>{{1,3,4},{2,5,7,8},{6}}
{{1},{2,3,7},{4,5},{6,8}}=>{{1},{2,3,5},{4,8},{6,7}}
{{1,3},{2},{4,5,7},{6,8}}=>{{1,3},{2},{4,5,8},{6,7}}
{{1,2},{3},{4,5,7},{6,8}}=>{{1,2},{3},{4,5,8},{6,7}}
{{1},{2},{3,4,6},{5,7,8}}=>{{1},{2},{3,4,7,8},{5,6}}
{{1},{2},{3,4,7},{5,6,8}}=>{{1},{2},{3,4,6,7},{5,8}}
{{1,2},{3},{4,6,8},{5,7}}=>{{1,2},{3},{4,7},{5,6,8}}
{{1,2},{3},{4,6,7},{5,8}}=>{{1,2},{3},{4,8},{5,6,7}}
{{1,3},{2,4},{5},{6,7,8}}=>{{1,4},{2,3},{5},{6,7,8}}
{{1,4},{2,5},{3},{6,7,8}}=>{{1,5},{2,4},{3},{6,7,8}}
{{1,3},{2,5},{4},{6,7,8}}=>{{1,5},{2,3},{4},{6,7,8}}
{{1,7},{2,8},{3},{4,5,6}}=>{{1,5,7},{2,6},{3},{4,8}}
{{1,4},{2,8},{3},{5,6,7}}=>{{1,6,8},{2,4},{3},{5,7}}
{{1},{2,6,7},{3},{4,5,8}}=>{{1},{2,5,6,7},{3},{4,8}}
{{1,4,8},{2,5,6},{3},{7}}=>{{1,5,8},{2,4,6},{3},{7}}
{{1,3},{2,4,5,8},{6},{7}}=>{{1,4,5,8},{2,3},{6},{7}}
{{1,2,4,6},{3},{5,7},{8}}=>{{1,2,4,7},{3},{5,6},{8}}
{{1,3,4,6},{2},{5,7},{8}}=>{{1,3,4,7},{2},{5,6},{8}}
{{1,2,6},{3,7},{4,5},{8}}=>{{1,2,5},{3,7},{4,6},{8}}
{{1,6,8},{2,7},{3,4},{5}}=>{{1,4},{2,7},{3,6,8},{5}}
{{1,6,7},{2,4},{3,8},{5}}=>{{1,8},{2,4},{3,6,7},{5}}
{{1,4},{2},{3,5},{6,7,8}}=>{{1,5},{2},{3,4},{6,7,8}}
{{1,6},{2,7},{3},{4,5,8}}=>{{1,5,6},{2,8},{3},{4,7}}
{{1},{2,3,4,6},{5,7},{8}}=>{{1},{2,3,4,7},{5,6},{8}}
{{1},{2,7,8},{3,5},{4,6}}=>{{1},{2,6},{3,5},{4,7,8}}
{{1,5,6},{2,7},{3,4},{8}}=>{{1,4},{2,7},{3,5,6},{8}}
{{1,6},{2,7,8},{3},{4,5}}=>{{1,5},{2,7,8},{3},{4,6}}
{{1,8},{2},{3,5},{4,6,7}}=>{{1,6,8},{2},{3,5},{4,7}}
{{1,6},{2},{3,5,8},{4,7}}=>{{1,7},{2},{3,5,6},{4,8}}
{{1},{2,6,8},{3},{4,5,7}}=>{{1},{2,5,6,8},{3},{4,7}}
{{1},{2,6,7},{3,8},{4,5}}=>{{1},{2,5},{3,8},{4,6,7}}
{{1},{2,5,6},{3,8},{4,7}}=>{{1},{2,7},{3,8},{4,5,6}}
{{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}
{{1,2,7},{3,6},{4},{5,8}}=>{{1,2,8},{3,6},{4},{5,7}}
{{1,2,8},{3},{4,6},{5,7}}=>{{1,2,7},{3},{4,6},{5,8}}
{{1,4,6},{2,7},{3,5},{8}}=>{{1,5},{2,7},{3,4,6},{8}}
{{1,7},{2,3,5},{4,6},{8}}=>{{1,3,5},{2,6},{4,7},{8}}
{{1,3},{2,5,6},{4,7},{8}}=>{{1,7},{2,3},{4,5,6},{8}}
{{1,3},{2,7},{4,5,6},{8}}=>{{1,5,7},{2,3},{4,6},{8}}
{{1},{2,5,8},{3},{4,6,7}}=>{{1},{2,6,8},{3},{4,5,7}}
{{1,4},{2,6,7},{3,5},{8}}=>{{1,5},{2,6,7},{3,4},{8}}
{{1,4},{2,7,8},{3,6},{5}}=>{{1,6},{2,7,8},{3,4},{5}}
{{1},{2,4,5},{3,6,7},{8}}=>{{1},{2,6,7},{3,4,5},{8}}
{{1},{2,4,5},{3,6,8},{7}}=>{{1},{2,6,8},{3,4,5},{7}}
{{1},{2,5,6},{3,7,8},{4}}=>{{1},{2,7,8},{3,5,6},{4}}
{{1},{2,4},{3,5,6},{7,8}}=>{{1},{2,5,6},{3,4},{7,8}}
{{1,4,7},{2,3,5},{6,8}}=>{{1,3,4,8},{2,5},{6,7}}
{{1,4,6},{2,3,8},{5,7}}=>{{1,3,4,8},{2,7},{5,6}}
{{1,4,6},{2,3,7},{5,8}}=>{{1,3,4,7},{2,8},{5,6}}
{{1,3,5,6},{2},{4,7},{8}}=>{{1,3,7},{2},{4,5,6},{8}}
{{1,3},{2,6},{4,5,7},{8}}=>{{1,5,6},{2,3},{4,7},{8}}
{{1,4},{2},{3,5,6,7},{8}}=>{{1,5,6,7},{2},{3,4},{8}}
{{1,3,6},{2,8},{4,5,7}}=>{{1,5,6},{2,3,7},{4,8}}
{{1,3,6},{2,7},{4,5,8}}=>{{1,5,6},{2,3,8},{4,7}}
{{1,4,6},{2,3,5,7,8}}=>{{1,3,4,7,8},{2,5,6}}
{{1,2,4,6},{3},{5,7,8}}=>{{1,2,4,7,8},{3},{5,6}}
{{1,5,6},{2,4,7},{3,8}}=>{{1,8},{2,4,5,6},{3,7}}
{{1,2,3,6,7},{4},{5,8}}=>{{1,2,3,8},{4},{5,6,7}}
{{1,2,7},{3,6},{4,5,8}}=>{{1,2,5,7},{3,8},{4,6}}
{{1},{2,4,6,7,8},{3,5}}=>{{1},{2,5},{3,4,6,7,8}}
{{1,2,6},{3,4,5,7,8}}=>{{1,2,4,7,8},{3,5,6}}
{{1,5,8},{2},{3,4,6,7}}=>{{1,4,5,7},{2},{3,6,8}}
{{1,3,4,7},{2},{5,6,8}}=>{{1,3,4,6,7},{2},{5,8}}
{{1},{2,3,5,8},{4,7},{6}}=>{{1},{2,3,7},{4,5,8},{6}}
{{1,4,7},{2,3,5,6,8}}=>{{1,3,4,6,7},{2,5,8}}
{{1,3,7,8},{2,4,5,6}}=>{{1,4,6},{2,3,5,7,8}}
{{1,5,7,8},{2,3,4,6}}=>{{1,3,6},{2,4,5,7,8}}
{{1,3,6,8},{2,4,5,7}}=>{{1,4,7},{2,3,5,6,8}}
{{1,2,6,8},{3,4,5,7}}=>{{1,2,4,7},{3,5,6,8}}
{{1,2,4,8},{3,5,6,7}}=>{{1,2,5,7},{3,4,6,8}}
{{1,6},{2,3,4,5,7,8}}=>{{1,3,5,6},{2,4,7,8}}
{{1,5},{2,8},{3},{4,7},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}
{{1,2,6},{3,4,5,8},{7}}=>{{1,2,4,8},{3,5,6},{7}}
{{1,4,8},{2,3,5,6},{7}}=>{{1,3,4,6},{2,5,8},{7}}
{{1,5},{2,3,4,8},{6,7}}=>{{1,3,7},{2,4,5},{6,8}}
{{1,4,8},{2,3,5},{6,7}}=>{{1,3,4,7},{2,5},{6,8}}
{{1,2,4},{3,5,6,7,8}}=>{{1,2,5,6,7,8},{3,4}}
{{1,5,8},{2,3,4,6,7}}=>{{1,3,6,8},{2,4,5,7}}
{{1,3,4},{2,5,6,7,8}}=>{{1,5,6,7,8},{2,3,4}}
{{1,4,6,7},{2,3,8},{5}}=>{{1,3,4,6,7},{2,8},{5}}
{{1,3,8},{2,4,6,7},{5}}=>{{1,4,7},{2,3,6,8},{5}}
{{1,3,5},{2,8},{4,6,7}}=>{{1,6,8},{2,3,7},{4,5}}
{{1,4,7,8},{2,3,6},{5}}=>{{1,3,4,7,8},{2,6},{5}}
{{1,6},{2,3,5},{4,7,8}}=>{{1,3,5},{2,7,8},{4,6}}
{{1,2,6},{3,5},{4,7,8}}=>{{1,2,7,8},{3,5},{4,6}}
{{1,2,5},{3,6},{4,7,8}}=>{{1,2,7,8},{3,6},{4,5}}
{{1,5},{2,3,6},{4,7,8}}=>{{1,3,6},{2,7,8},{4,5}}
{{1,4,7,8},{2,6},{3,5}}=>{{1,5},{2,6},{3,4,7,8}}
{{1,7,8},{2,3,5},{4,6}}=>{{1,3,5},{2,6},{4,7,8}}
{{1,7,8},{2,5},{3,4,6}}=>{{1,4,7,8},{2,6},{3,5}}
{{1,7,8},{2,4,6},{3,5}}=>{{1,5},{2,4,7,8},{3,6}}
{{1},{2,6,7},{3,8},{4},{5}}=>{{1},{2,8},{3,6,7},{4},{5}}
{{1,6,7},{2},{3,8},{4},{5}}=>{{1,8},{2},{3,6,7},{4},{5}}
{{1,4,8},{2,3,5,7},{6}}=>{{1,3,4,7},{2,5,8},{6}}
{{1,2,5},{3,4,6,7,8}}=>{{1,2,4,5},{3,6,7,8}}
{{1},{2},{3},{4},{5,7},{6,8}}=>{{1},{2},{3},{4},{5,8},{6,7}}
{{1},{2},{3},{4,6},{5,8},{7}}=>{{1},{2},{3},{4,8},{5,6},{7}}
{{1},{2},{3,5},{4,8},{6},{7}}=>{{1},{2},{3,8},{4,5},{6},{7}}
{{1},{2,4},{3,8},{5},{6},{7}}=>{{1},{2,8},{3,4},{5},{6},{7}}
{{1},{2},{3},{4,7},{5,8},{6}}=>{{1},{2},{3},{4,8},{5,7},{6}}
{{1},{2},{3,6},{4,8},{5},{7}}=>{{1},{2},{3,8},{4,6},{5},{7}}
{{1},{2,5},{3,8},{4},{6},{7}}=>{{1},{2,8},{3,5},{4},{6},{7}}
{{1},{2,4,5},{3,8},{6},{7}}=>{{1},{2,8},{3,4,5},{6},{7}}
{{1,2,5,7},{3},{4,6,8}}=>{{1,2,6,7},{3},{4,5,8}}
{{1,7},{2,3,4,5,6,8}}=>{{1,3,5,8},{2,4,6,7}}
{{1,4,6,7,8},{2,3,5}}=>{{1,3,4,6,7,8},{2,5}}
{{1,2,6,7},{3,4,5,8}}=>{{1,2,4,8},{3,5,6,7}}
{{1,3,6,7,8},{2,4,5}}=>{{1,4,6,7,8},{2,3,5}}
{{1,6},{2,5,7,8},{3,4}}=>{{1,4},{2,5,6},{3,7,8}}
{{1,6},{2,3,7},{4,5,8}}=>{{1,3,8},{2,5,6},{4,7}}
{{1,3,5},{2,6},{4,7,8}}=>{{1,7,8},{2,3,6},{4,5}}
{{1,4,5,7,8},{2,3,6}}=>{{1,3,4,5,7,8},{2,6}}
{{1,3,7},{2,4,6},{5,8}}=>{{1,4,6},{2,3,8},{5,7}}
{{1,5,7},{2,3,6,8},{4}}=>{{1,3,5,8},{2,6,7},{4}}
{{1,3,7},{2,4,5,8},{6}}=>{{1,4,8},{2,3,5,7},{6}}
{{1,3,7},{2,4,5,6,8}}=>{{1,4,6,7},{2,3,5,8}}
{{1,5,8},{2,4,6},{3,7}}=>{{1,7},{2,4,5,8},{3,6}}
{{1,6},{2,3,4,7,8},{5}}=>{{1,3,7,8},{2,4,6},{5}}
{{1,2,5,8},{3,4,6,7}}=>{{1,2,4,5,7},{3,6,8}}
{{1},{2,3,5},{4,6},{7},{8}}=>{{1},{2,3,6},{4,5},{7},{8}}
{{1},{2,3,5,7,8},{4,6}}=>{{1},{2,3,6},{4,5,7,8}}
{{1},{2,3,5,7},{4,6},{8}}=>{{1},{2,3,6},{4,5,7},{8}}
{{1},{2,3,5,7},{4,6,8}}=>{{1},{2,3,6,7},{4,5,8}}
{{1},{2,3,5},{4,7},{6},{8}}=>{{1},{2,3,7},{4,5},{6},{8}}
{{1},{2,3,4,5,7},{6,8}}=>{{1},{2,3,4,5,8},{6,7}}
{{1},{2,3,5,8},{4,6,7}}=>{{1},{2,3,6,8},{4,5,7}}
{{1},{2},{3},{4,5,7},{6,8}}=>{{1},{2},{3},{4,5,8},{6,7}}
{{1,3},{2,6,8},{4,5},{7}}=>{{1,5},{2,3},{4,6,8},{7}}
{{1,4,6,7},{2},{3},{5,8}}=>{{1,4,8},{2},{3},{5,6,7}}
{{1,4,7,8},{2},{3,5},{6}}=>{{1,5},{2},{3,4,7,8},{6}}
{{1},{2,4,7,8},{3,5},{6}}=>{{1},{2,5},{3,4,7,8},{6}}
{{1},{2,4,7,8},{3,6},{5}}=>{{1},{2,6},{3,4,7,8},{5}}
{{1,4},{2},{3,7,8},{5,6}}=>{{1,6},{2},{3,4},{5,7,8}}
{{1},{2,3,4,6,8},{5,7}}=>{{1},{2,3,4,7},{5,6,8}}
{{1,5,6,8},{2,3,7},{4}}=>{{1,3,5,6,8},{2,7},{4}}
{{1,5,6},{2,3},{4,7,8}}=>{{1,3},{2,7,8},{4,5,6}}
{{1,6},{2},{3,7},{4},{5,8}}=>{{1,8},{2},{3,7},{4},{5,6}}
{{1,7},{2},{3,8},{4},{5},{6}}=>{{1,8},{2},{3,7},{4},{5},{6}}
{{1,3},{2,4,5,6,8},{7}}=>{{1,4,5,6,8},{2,3},{7}}
{{1,6,7},{2,3,4,5,8}}=>{{1,3,5,6,7},{2,4,8}}
{{1,7},{2,3,4},{5,6,8}}=>{{1,3,6,7},{2,4},{5,8}}
{{1,4,5},{2,3,7,8},{6}}=>{{1,3,4,5},{2,7,8},{6}}
{{1,4,6,8},{2,3,5,7}}=>{{1,3,4,7},{2,5,6,8}}
{{1,4,8},{2,3,6,7},{5}}=>{{1,3,4,7},{2,6,8},{5}}
{{1,3,7},{2,6},{4,5,8}}=>{{1,5,7},{2,3,8},{4,6}}
{{1,2,6},{3,7},{4,5,8}}=>{{1,2,5,6},{3,8},{4,7}}
{{1,2},{3,4,6},{5,7,8}}=>{{1,2},{3,4,7,8},{5,6}}
{{1,2,3},{4,7},{5,6,8}}=>{{1,2,3},{4,6,7},{5,8}}
{{1,5},{2,6,7,8},{3,4}}=>{{1,4},{2,6,7,8},{3,5}}
{{1,7},{2,6,8},{3,4,5}}=>{{1,4,8},{2,5},{3,6,7}}
{{1,2,6},{3,5,7,8},{4}}=>{{1,2,5,6},{3,7,8},{4}}
{{1},{2,3,6},{4,5,7,8}}=>{{1},{2,3,5,6},{4,7,8}}
{{1,7,8},{2,4},{3,5,6}}=>{{1,5,7,8},{2,4},{3,6}}
{{1,3},{2,5,8},{4},{6,7}}=>{{1,5,7},{2,3},{4},{6,8}}
{{1},{2},{3},{4,6},{5,7,8}}=>{{1},{2},{3},{4,7,8},{5,6}}
{{1},{2,4},{3,5,6,7,8}}=>{{1},{2,5,6,7,8},{3,4}}
{{1,5,6},{2},{3},{4,7,8}}=>{{1,7,8},{2},{3},{4,5,6}}
{{1,6},{2,3,8},{4,5},{7}}=>{{1,3,8},{2,5},{4,6},{7}}
{{1,3,5},{2},{4,6},{7},{8}}=>{{1,3,6},{2},{4,5},{7},{8}}
{{1,3,7},{2},{4},{5},{6,8}}=>{{1,3,8},{2},{4},{5},{6,7}}
{{1,3,6},{2},{4},{5,8},{7}}=>{{1,3,8},{2},{4},{5,6},{7}}
{{1},{2},{3,7},{4,8},{5},{6}}=>{{1},{2},{3,8},{4,7},{5},{6}}
{{1,7},{2},{3},{4},{5},{6,8}}=>{{1,8},{2},{3},{4},{5},{6,7}}
{{1,6},{2},{3},{4},{5,8},{7}}=>{{1,8},{2},{3},{4},{5,6},{7}}
{{1,4},{2,6},{3},{5,8},{7}}=>{{1,8},{2,4},{3},{5,6},{7}}
{{1,5},{2,6},{3},{4,8},{7}}=>{{1,8},{2,6},{3},{4,5},{7}}
{{1,5,7},{2},{3},{4},{6,8}}=>{{1,5,8},{2},{3},{4},{6,7}}
{{1,5},{2},{3},{4,6},{7},{8}}=>{{1,6},{2},{3},{4,5},{7},{8}}
{{1,4},{2},{3,6},{5},{7},{8}}=>{{1,6},{2},{3,4},{5},{7},{8}}
{{1},{2,5},{3,6},{4},{7},{8}}=>{{1},{2,6},{3,5},{4},{7},{8}}
{{1,4,6},{2},{3,5,7},{8}}=>{{1,5,6},{2},{3,4,7},{8}}
{{1,6},{2},{3},{4,7},{5},{8}}=>{{1,7},{2},{3},{4,6},{5},{8}}
{{1,6},{2},{3},{4,7},{5,8}}=>{{1,8},{2},{3},{4,7},{5,6}}
{{1,5},{2},{3},{4,7},{6,8}}=>{{1,8},{2},{3},{4,5},{6,7}}
{{1,5,7},{2},{3},{4,6},{8}}=>{{1,6},{2},{3},{4,5,7},{8}}
{{1,4,7},{2},{3,6},{5},{8}}=>{{1,6},{2},{3,4,7},{5},{8}}
{{1,4},{2},{3,7},{5},{6,8}}=>{{1,8},{2},{3,4},{5},{6,7}}
{{1,5},{2},{3,7},{4,8},{6}}=>{{1,8},{2},{3,7},{4,5},{6}}
{{1,5},{2},{3,7},{4},{6},{8}}=>{{1,7},{2},{3,5},{4},{6},{8}}
{{1,7},{2,5},{3,6},{4},{8}}=>{{1,6},{2,5},{3,7},{4},{8}}
{{1},{2,6},{3},{4,8},{5},{7}}=>{{1},{2,8},{3},{4,6},{5},{7}}
{{1,5},{2,3,4,8},{6},{7}}=>{{1,3,8},{2,4,5},{6},{7}}
{{1,2,3,7},{4},{5},{6,8}}=>{{1,2,3,8},{4},{5},{6,7}}
{{1,4,5},{2,3,8},{6},{7}}=>{{1,3,4,5},{2,8},{6},{7}}
{{1,3},{2,5},{4,6,7},{8}}=>{{1,6,7},{2,3},{4,5},{8}}
{{1,3,5},{2,7},{4,6},{8}}=>{{1,6},{2,3,7},{4,5},{8}}
{{1,5},{2,3,6,7,8},{4}}=>{{1,3,5},{2,6,7,8},{4}}
{{1,3,6},{2},{4,8},{5},{7}}=>{{1,3,8},{2},{4,6},{5},{7}}
{{1,5},{2,3,4,7,8},{6}}=>{{1,3,7,8},{2,4,5},{6}}
{{1,4,5,8},{2,3,7},{6}}=>{{1,3,4,5,8},{2,7},{6}}
{{1,4,5,6},{2,3,7,8}}=>{{1,3,4,5,6},{2,7,8}}
{{1,5},{2,4,6,7},{3,8}}=>{{1,8},{2,4,5},{3,6,7}}
{{1,3,5,6,7},{2},{4,8}}=>{{1,3,8},{2},{4,5,6,7}}
{{1,5},{2,6,7},{3,4,8}}=>{{1,4,5},{2,8},{3,6,7}}
{{1,4,6},{2,7},{3,5,8}}=>{{1,5,6},{2,8},{3,4,7}}
{{1,8},{2,3,4,6},{5,7}}=>{{1,3,7},{2,4,6},{5,8}}
{{1,8},{2,3,5,6},{4,7}}=>{{1,3,5,8},{2,7},{4,6}}
{{1,8},{2,4},{3,5,6,7}}=>{{1,5,7},{2,4},{3,6,8}}
{{1,8},{2,5},{3,4,6,7}}=>{{1,4,7},{2,6,8},{3,5}}
{{1,8},{2,4,5,7},{3,6}}=>{{1,6},{2,4,7},{3,5,8}}
{{1,7},{2,3},{4,5,6,8}}=>{{1,3},{2,5,8},{4,6,7}}
{{1,6},{2,3},{4,5,7,8}}=>{{1,3},{2,5,6},{4,7,8}}
{{1,7},{2,3,5,6},{4,8}}=>{{1,3,5,7},{2,8},{4,6}}
{{1,6},{2,3,5,7},{4,8}}=>{{1,3,5,6},{2,8},{4,7}}
{{1,6},{2,3,4,7},{5,8}}=>{{1,3,8},{2,4,7},{5,6}}
{{1,7},{2,3,4,6},{5,8}}=>{{1,3,8},{2,4,6},{5,7}}
{{1,7},{2,3,4,5},{6,8}}=>{{1,3,5},{2,4,8},{6,7}}
{{1,6,7,8},{2,4},{3,5}}=>{{1,5},{2,4},{3,6,7,8}}
{{1,4,7,8},{2,3,5,6}}=>{{1,3,4,6},{2,5,7,8}}
{{1,5,7,8},{2,4},{3,6}}=>{{1,6},{2,4},{3,5,7,8}}
{{1,5,7,8},{2,3},{4,6}}=>{{1,3},{2,6},{4,5,7,8}}
{{1,5,6,8},{2,3},{4,7}}=>{{1,3},{2,7},{4,5,6,8}}
{{1,5,6,8},{2,4},{3,7}}=>{{1,7},{2,4},{3,5,6,8}}
{{1,4,6,7},{2,3},{5,8}}=>{{1,3},{2,4,8},{5,6,7}}
{{1,5},{2},{3,4,6,8},{7}}=>{{1,4,5},{2},{3,6,8},{7}}
{{1,6},{2},{3},{4,5,7,8}}=>{{1,5,6},{2},{3},{4,7,8}}
{{1,4},{2,6,7,8},{3},{5}}=>{{1,6,7,8},{2,4},{3},{5}}
{{1},{2,5},{3,6,7,8},{4}}=>{{1},{2,6,7,8},{3,5},{4}}
{{1,3,4,7},{2},{5,8},{6}}=>{{1,3,4,8},{2},{5,7},{6}}
{{1,4,6},{2,3,5},{7,8}}=>{{1,3,4,6},{2,5},{7,8}}
{{1,6,8},{2,3,4,5,7}}=>{{1,3,5,6,8},{2,4,7}}
{{1,2},{3,6,8},{4,5,7}}=>{{1,2},{3,5,6,8},{4,7}}
{{1,6,7},{2,4,5,8},{3}}=>{{1,4,8},{2,5,6,7},{3}}
{{1,2,7},{3,6,8},{4,5}}=>{{1,2,5},{3,6,7},{4,8}}
{{1,3,5,8},{2,7},{4,6}}=>{{1,6},{2,3,7},{4,5,8}}
{{1,4,5,8},{2,3,6},{7}}=>{{1,3,4,5,8},{2,6},{7}}
{{1,7},{2,3,5},{4,6,8}}=>{{1,3,5},{2,6,7},{4,8}}
{{1,5,7},{2,3,4,6,8}}=>{{1,3,6,7},{2,4,5,8}}
{{1,5},{2,4,6,7,8},{3}}=>{{1,4,5},{2,6,7,8},{3}}
{{1,7},{2,4,5,6,8},{3}}=>{{1,4,6,7},{2,5,8},{3}}
{{1,4},{2},{3,5},{6},{7},{8}}=>{{1,5},{2},{3,4},{6},{7},{8}}
{{1,5},{2},{3,6},{4,7},{8}}=>{{1,7},{2},{3,6},{4,5},{8}}
{{1,6},{2,7},{3},{4},{5,8}}=>{{1,8},{2,7},{3},{4},{5,6}}
{{1,3},{2,4,6,8},{5,7}}=>{{1,4,7},{2,3},{5,6,8}}
{{1,4,8},{2,3,5,6,7}}=>{{1,3,4,6,8},{2,5,7}}
{{1,3},{2,4,5,6,7},{8}}=>{{1,4,5,6,7},{2,3},{8}}
{{1},{2,5},{3,4,6,7,8}}=>{{1},{2,4,5},{3,6,7,8}}
{{1},{2,6},{3,4,5,7,8}}=>{{1},{2,4,7,8},{3,5,6}}
{{1,5},{2,3,4,6,7},{8}}=>{{1,3,6,7},{2,4,5},{8}}
{{1,2,7},{3},{4,6,8},{5}}=>{{1,2,6,7},{3},{4,8},{5}}
{{1},{2,4,6},{3},{5,7,8}}=>{{1},{2,4,7,8},{3},{5,6}}
{{1,2,4,5,7},{3},{6,8}}=>{{1,2,4,5,8},{3},{6,7}}
{{1,4,5},{2},{3,6,7,8}}=>{{1,6,7,8},{2},{3,4,5}}
{{1,3,4,6,8},{2},{5,7}}=>{{1,3,4,7},{2},{5,6,8}}
{{1},{2,5,7},{3},{4,6,8}}=>{{1},{2,6,7},{3},{4,5,8}}
{{1,2},{3,5,7},{4,6,8}}=>{{1,2},{3,6,7},{4,5,8}}
{{1,2,3},{4,6},{5,7,8}}=>{{1,2,3},{4,7,8},{5,6}}
{{1,3,4,5,7},{2},{6,8}}=>{{1,3,4,5,8},{2},{6,7}}
{{1,4,5,7,8},{2},{3,6}}=>{{1,6},{2},{3,4,5,7,8}}
{{1,2,5,6,7},{3},{4,8}}=>{{1,2,8},{3},{4,5,6,7}}
{{1,4,6,8},{2},{3,5,7}}=>{{1,5,6,8},{2},{3,4,7}}
{{1},{2,7},{3,8},{4},{5},{6}}=>{{1},{2,8},{3,7},{4},{5},{6}}
{{1,5,6},{2},{3,8},{4},{7}}=>{{1,8},{2},{3,5,6},{4},{7}}
{{1,2,4,8},{3,7},{5,6}}=>{{1,2,6},{3,4,7},{5,8}}
{{1,3,4,7},{2,8},{5,6}}=>{{1,6},{2,3,4,8},{5,7}}
{{1,3,5,7},{2,8},{4,6}}=>{{1,6},{2,3,8},{4,5,7}}
{{1,2,5,8},{3,7},{4,6}}=>{{1,2,6},{3,7},{4,5,8}}
{{1,4,5,6},{2,8},{3,7}}=>{{1,7},{2,8},{3,4,5,6}}
{{1},{2},{3},{4,6,8},{5,7}}=>{{1},{2},{3},{4,7},{5,6,8}}
{{1},{2},{3,5,8},{4,6},{7}}=>{{1},{2},{3,6},{4,5,8},{7}}
{{1,2},{3,5,6},{4,7},{8}}=>{{1,2},{3,7},{4,5,6},{8}}
{{1,2},{3,5},{4,6,7},{8}}=>{{1,2},{3,6,7},{4,5},{8}}
{{1,2},{3,6},{4,5,7},{8}}=>{{1,2},{3,5,6},{4,7},{8}}
{{1,5,7},{2},{3},{4,6,8}}=>{{1,6,7},{2},{3},{4,5,8}}
{{1,4,6},{2,3},{5,7,8}}=>{{1,3},{2,4,7,8},{5,6}}
{{1,3,8},{2,4,5},{6,7}}=>{{1,4,7},{2,3,5},{6,8}}
{{1,2,7},{3},{4,5,6,8}}=>{{1,2,5,8},{3},{4,6,7}}
{{1},{2,4,8},{3,5,6,7}}=>{{1},{2,5,7},{3,4,6,8}}
{{1,4,5,6,7},{2},{3,8}}=>{{1,8},{2},{3,4,5,6,7}}
{{1},{2,7},{3,6},{4},{5,8}}=>{{1},{2,8},{3,6},{4},{5,7}}
{{1,3,5},{2,4,6,7,8}}=>{{1,4,5},{2,3,6,7,8}}
{{1,5},{2},{3,7},{4},{6,8}}=>{{1,8},{2},{3,5},{4},{6,7}}
{{1,5,6,7},{2,4},{3,8}}=>{{1,8},{2,4},{3,5,6,7}}
{{1,5,6},{2,4,8},{3,7}}=>{{1,7},{2,4,5,6},{3,8}}
{{1,2,7},{3,8},{4},{5,6}}=>{{1,2,6},{3,8},{4},{5,7}}
{{1,6,8},{2,3,5,7},{4}}=>{{1,3,7},{2,5,6,8},{4}}
{{1,4,5,6,7},{2,3,8}}=>{{1,3,4,5,6,7},{2,8}}
{{1,2,6,7},{3},{4,8},{5}}=>{{1,2,8},{3},{4,6,7},{5}}
{{1,5},{2,3,4,7},{6,8}}=>{{1,3,8},{2,4,5},{6,7}}
{{1,2,4,6,8},{3},{5,7}}=>{{1,2,4,7},{3},{5,6,8}}
{{1,3,8},{2,4,5,6,7}}=>{{1,4,6,8},{2,3,5,7}}
{{1,3,4,6},{2,8},{5,7}}=>{{1,7},{2,3,4,8},{5,6}}
{{1,3},{2,7},{4,5,6,8}}=>{{1,5,8},{2,3},{4,6,7}}
{{1},{2,7},{3},{4,5,6,8}}=>{{1},{2,5,8},{3},{4,6,7}}
{{1,3,8},{2,6},{4,5,7}}=>{{1,5,8},{2,3,7},{4,6}}
{{1,2,4},{3,6},{5,7,8}}=>{{1,2,7,8},{3,4},{5,6}}
{{1,2,7},{3,4,6,8},{5}}=>{{1,2,4,8},{3,6,7},{5}}
{{1,3,4,8},{2,7},{5,6}}=>{{1,6},{2,3,4,7},{5,8}}
{{1,6,8},{2,3,5},{4,7}}=>{{1,3,5},{2,7},{4,6,8}}
{{1,6,8},{2,3,4,7},{5}}=>{{1,3,7},{2,4,6,8},{5}}
{{1,2,5,6,8},{3},{4,7}}=>{{1,2,7},{3},{4,5,6,8}}
{{1,3,4},{2,6,7,8},{5}}=>{{1,6,7,8},{2,3,4},{5}}
{{1,2,6,8},{3,7},{4,5}}=>{{1,2,5},{3,7},{4,6,8}}
{{1,5,8},{2,3,4,6},{7}}=>{{1,3,6},{2,4,5,8},{7}}
{{1,2,4},{3,7,8},{5,6}}=>{{1,2,6},{3,4},{5,7,8}}
{{1,3,6},{2,5,7,8},{4}}=>{{1,5,6},{2,3,7,8},{4}}
{{1,3},{2,4,5,7,8},{6}}=>{{1,4,5,7,8},{2,3},{6}}
{{1,5,6},{2,4,7,8},{3}}=>{{1,4,5,6},{2,7,8},{3}}
{{1,5,8},{2,4,6,7},{3}}=>{{1,4,5,7},{2,6,8},{3}}
{{1,5,7,8},{2,4,6},{3}}=>{{1,4,5,7,8},{2,6},{3}}
{{1,6},{2,3,7},{4},{5},{8}}=>{{1,3,6},{2,7},{4},{5},{8}}
{{1,4},{2},{3,6},{5,7},{8}}=>{{1,7},{2},{3,4},{5,6},{8}}
{{1},{2,5},{3},{4,7},{6,8}}=>{{1},{2,8},{3},{4,5},{6,7}}
{{1,2,3,6},{4},{5,7},{8}}=>{{1,2,3,7},{4},{5,6},{8}}
{{1,2},{3,4,7},{5,6,8}}=>{{1,2},{3,4,6,7},{5,8}}
{{1,4,7},{2,3},{5,6,8}}=>{{1,3},{2,4,6,7},{5,8}}
{{1,2,6},{3,8},{4,5,7}}=>{{1,2,5,6},{3,7},{4,8}}
{{1,2,8},{3,4,6},{5,7}}=>{{1,2,4,6},{3,7},{5,8}}
{{1,2},{3,5,7,8},{4,6}}=>{{1,2},{3,6},{4,5,7,8}}
{{1,5,8},{2,7},{3,4,6}}=>{{1,4,5,8},{2,6},{3,7}}
{{1,6,8},{2,4,7},{3,5}}=>{{1,5},{2,4,6,8},{3,7}}
{{1},{2,4,5,8},{3,6,7}}=>{{1},{2,6,8},{3,4,5,7}}
{{1,2,6},{3,4,5,7},{8}}=>{{1,2,4,7},{3,5,6},{8}}
{{1},{2},{3,5,7},{4,6},{8}}=>{{1},{2},{3,6},{4,5,7},{8}}
{{1,4,5,7},{2,3,8},{6}}=>{{1,3,4,5,7},{2,8},{6}}
{{1,4},{2,3,6},{5},{7},{8}}=>{{1,3,4},{2,6},{5},{7},{8}}
{{1,3,6},{2,4,5,8},{7}}=>{{1,4,8},{2,3,5,6},{7}}
{{1,2,6,7},{3},{4},{5,8}}=>{{1,2,8},{3},{4},{5,6,7}}
{{1},{2,4},{3,5},{6,7,8}}=>{{1},{2,5},{3,4},{6,7,8}}
{{1,3,8},{2,4,5},{6},{7}}=>{{1,4,8},{2,3,5},{6},{7}}
{{1,3,5},{2,4,6,7},{8}}=>{{1,4,5},{2,3,6,7},{8}}
{{1},{2,4,6},{3,5,7,8}}=>{{1},{2,5,6},{3,4,7,8}}
{{1},{2,4,8},{3,6},{5},{7}}=>{{1},{2,6},{3,4,8},{5},{7}}
{{1,3,7},{2,5,6},{4},{8}}=>{{1,5,7},{2,3,6},{4},{8}}
{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,8},{2},{3},{4,6},{5},{7}}
{{1},{2,7},{3},{4,8},{5},{6}}=>{{1},{2,8},{3},{4,7},{5},{6}}
{{1},{2,6},{3},{4},{5,8},{7}}=>{{1},{2,8},{3},{4},{5,6},{7}}
{{1,6},{2,7},{3},{4,8},{5}}=>{{1,8},{2,7},{3},{4,6},{5}}
{{1,3},{2,4},{5},{6},{7,8}}=>{{1,4},{2,3},{5},{6},{7,8}}
{{1,3,5,6},{2,8},{4,7}}=>{{1,7},{2,3,8},{4,5,6}}
{{1},{2,7},{3,5,8},{4},{6}}=>{{1},{2,5,7},{3,8},{4},{6}}
{{1,6},{2,4,7},{3},{5},{8}}=>{{1,4,6},{2,7},{3},{5},{8}}
{{1,4,7},{2},{3,5,6},{8}}=>{{1,5,7},{2},{3,4,6},{8}}
{{1,4},{2,5,6,8},{3},{7}}=>{{1,5,6,8},{2,4},{3},{7}}
{{1,5},{2,3,4,6},{7,8}}=>{{1,3,6},{2,4,5},{7,8}}
{{1,3,4},{2,8},{5,6,7}}=>{{1,6,8},{2,3,4},{5,7}}
{{1,3,6,7},{2,8},{4,5}}=>{{1,5},{2,3,8},{4,6,7}}
{{1,8},{2,3,6},{4,5,7}}=>{{1,3,7},{2,5,8},{4,6}}
{{1,2,7},{3,4,5,6,8}}=>{{1,2,4,6,7},{3,5,8}}
{{1,2},{3,5,6},{4,7,8}}=>{{1,2},{3,7,8},{4,5,6}}
{{1,5,6},{2,7,8},{3,4}}=>{{1,4},{2,7,8},{3,5,6}}
{{1,4,5},{2,7,8},{3,6}}=>{{1,6},{2,7,8},{3,4,5}}
{{1,7},{2,6},{3,4,5,8}}=>{{1,4,6},{2,5,7},{3,8}}
{{1,2},{3,7},{4,5,6,8}}=>{{1,2},{3,5,8},{4,6,7}}
{{1,7},{2,5,6,8},{3,4}}=>{{1,4},{2,5,8},{3,6,7}}
{{1,2,3},{4},{5,7},{6,8}}=>{{1,2,3},{4},{5,8},{6,7}}
{{1,2,3,7},{4},{5,8},{6}}=>{{1,2,3,8},{4},{5,7},{6}}
{{1,3,4},{2,6},{5,7,8}}=>{{1,7,8},{2,3,4},{5,6}}
{{1,7},{2},{3,4,5,8},{6}}=>{{1,4,8},{2},{3,5,7},{6}}
{{1,4},{2,3,5,6},{7},{8}}=>{{1,3,4},{2,5,6},{7},{8}}
{{1,3,5},{2,4},{6},{7,8}}=>{{1,4},{2,3,5},{6},{7,8}}
{{1,4},{2,5,6,7},{3},{8}}=>{{1,5,6,7},{2,4},{3},{8}}
{{1},{2},{3,4,5,7},{6,8}}=>{{1},{2},{3,4,5,8},{6,7}}
{{1,4,7},{2},{3},{5,6,8}}=>{{1,4,6,7},{2},{3},{5,8}}
{{1,3,6},{2,5},{4,7,8}}=>{{1,7,8},{2,3,5},{4,6}}
{{1,5},{2,4,8},{3,6,7}}=>{{1,6,8},{2,4,5},{3,7}}
{{1,5},{2,4,7,8},{3,6}}=>{{1,6},{2,4,5},{3,7,8}}
{{1,6},{2,4,7,8},{3,5}}=>{{1,5},{2,4,6},{3,7,8}}
{{1,4,7},{2,8},{3,5,6}}=>{{1,5,7},{2,6},{3,4,8}}
{{1,4,6,7},{2,8},{3,5}}=>{{1,5},{2,8},{3,4,6,7}}
{{1,4,7},{2,5,6},{3,8}}=>{{1,8},{2,5,7},{3,4,6}}
{{1,7},{2,4,8},{3,5,6}}=>{{1,5,7},{2,4,8},{3,6}}
{{1,3,7},{2,5,6},{4,8}}=>{{1,8},{2,3,5,7},{4,6}}
{{1,6,7},{2,4,8},{3,5}}=>{{1,5},{2,4,6,7},{3,8}}
{{1,3,4},{2,5},{6},{7,8}}=>{{1,5},{2,3,4},{6},{7,8}}
{{1,3},{2,4,5},{6},{7,8}}=>{{1,4,5},{2,3},{6},{7,8}}
{{1,4},{2,3,5},{6},{7,8}}=>{{1,3,4},{2,5},{6},{7,8}}
{{1,4,5},{2},{3,6,7},{8}}=>{{1,6,7},{2},{3,4,5},{8}}
{{1},{2,5},{3,4,6,7},{8}}=>{{1},{2,4,5},{3,6,7},{8}}
{{1,4},{2,5},{3,6,7},{8}}=>{{1,6,7},{2,5},{3,4},{8}}
{{1},{2,4,5,6},{3,7},{8}}=>{{1},{2,7},{3,4,5,6},{8}}
{{1},{2,4},{3,5,6,7},{8}}=>{{1},{2,5,6,7},{3,4},{8}}
{{1,4,5},{2},{3,6,8},{7}}=>{{1,6,8},{2},{3,4,5},{7}}
{{1},{2,3,6},{4},{5,8},{7}}=>{{1},{2,3,8},{4},{5,6},{7}}
{{1},{2,3,7},{4},{5,8},{6}}=>{{1},{2,3,8},{4},{5,7},{6}}
{{1},{2,4},{3,7},{5},{6,8}}=>{{1},{2,8},{3,4},{5},{6,7}}
{{1},{2,5},{3},{4,6,8},{7}}=>{{1},{2,6,8},{3},{4,5},{7}}
{{1},{2,5},{3},{4,6,7},{8}}=>{{1},{2,6,7},{3},{4,5},{8}}
{{1,2,4},{3,5},{6},{7,8}}=>{{1,2,5},{3,4},{6},{7,8}}
{{1,3,6,8},{2,4,5},{7}}=>{{1,4,6,8},{2,3,5},{7}}
{{1,4},{2,3,5,8},{6,7}}=>{{1,3,4},{2,5,7},{6,8}}
{{1,7},{2,3,4,6,8},{5}}=>{{1,3,6,7},{2,4,8},{5}}
{{1,3,7},{2},{4,5,6,8}}=>{{1,3,5,8},{2},{4,6,7}}
{{1,2,6},{3},{4,5,7,8}}=>{{1,2,5,6},{3},{4,7,8}}
{{1,5,8},{2,3,7},{4,6}}=>{{1,3,7},{2,6},{4,5,8}}
{{1,8},{2,5,7},{3,4,6}}=>{{1,4,7},{2,6},{3,5,8}}
{{1,4,8},{2},{3,5,6,7}}=>{{1,5,7},{2},{3,4,6,8}}
{{1,5},{2},{3,4,6,7,8}}=>{{1,4,5},{2},{3,6,7,8}}
{{1,6},{2,3,7,8},{4,5}}=>{{1,3,7,8},{2,5},{4,6}}
{{1,6},{2,8},{3,4,5,7}}=>{{1,4,8},{2,5,6},{3,7}}
{{1,8},{2,6},{3,7},{4},{5}}=>{{1,7},{2,6},{3,8},{4},{5}}
{{1,8},{2,5,6},{3,4,7}}=>{{1,4,6},{2,7},{3,5,8}}
{{1,4,5,8},{2},{3,6,7}}=>{{1,6,8},{2},{3,4,5,7}}
{{1,8},{2,4,5,6},{3,7}}=>{{1,7},{2,4,6},{3,5,8}}
{{1,2},{3,4,6,8},{5,7}}=>{{1,2},{3,4,7},{5,6,8}}
{{1,5},{2,6,7},{3},{4},{8}}=>{{1,6,7},{2,5},{3},{4},{8}}
{{1,2,6},{3},{4},{5,7},{8}}=>{{1,2,7},{3},{4},{5,6},{8}}
{{1},{2,3},{4,6},{5,7},{8}}=>{{1},{2,3},{4,7},{5,6},{8}}
{{1,2},{3,5,7},{4,6},{8}}=>{{1,2},{3,6},{4,5,7},{8}}
{{1,3},{2,6,7},{4,5},{8}}=>{{1,5},{2,3},{4,6,7},{8}}
{{1,3,7},{2,4,5},{6},{8}}=>{{1,4,7},{2,3,5},{6},{8}}
{{1,4,6,7,8},{2},{3,5}}=>{{1,5},{2},{3,4,6,7,8}}
{{1,3,4},{2,5,6,7},{8}}=>{{1,5,6,7},{2,3,4},{8}}
{{1,3},{2,5},{4},{6,7},{8}}=>{{1,5},{2,3},{4},{6,7},{8}}
{{1,5},{2,3,6},{4},{7},{8}}=>{{1,3,5},{2,6},{4},{7},{8}}
{{1,4},{2,6},{3},{5,7},{8}}=>{{1,7},{2,4},{3},{5,6},{8}}
{{1,5},{2,6},{3},{4,7},{8}}=>{{1,7},{2,6},{3},{4,5},{8}}
{{1,5},{2,4,6},{3},{7},{8}}=>{{1,4,5},{2,6},{3},{7},{8}}
{{1,4,6,7},{2,3,5},{8}}=>{{1,3,4,6,7},{2,5},{8}}
{{1,3,7},{2,4,5,6},{8}}=>{{1,4,6},{2,3,5,7},{8}}
{{1,2,3,7},{4},{5,6,8}}=>{{1,2,3,6,7},{4},{5,8}}
{{1,5},{2},{3,6},{4},{7},{8}}=>{{1,6},{2},{3,5},{4},{7},{8}}
{{1,5},{2,4},{3,6},{7},{8}}=>{{1,6},{2,4},{3,5},{7},{8}}
{{1,5},{2,6},{3,4},{7},{8}}=>{{1,4},{2,6},{3,5},{7},{8}}
{{1},{2,3,7},{4},{5},{6,8}}=>{{1},{2,3,8},{4},{5},{6,7}}
{{1},{2,7},{3,4,5,6,8}}=>{{1},{2,4,6,7},{3,5,8}}
{{1,2},{3,7},{4},{5},{6,8}}=>{{1,2},{3,8},{4},{5},{6,7}}
{{1,2,3,4,7},{5},{6,8}}=>{{1,2,3,4,8},{5},{6,7}}
{{1,4},{2,3,6,8},{5,7}}=>{{1,3,4},{2,7},{5,6,8}}
{{1,4},{2,3,6,7,8},{5}}=>{{1,3,4},{2,6,7,8},{5}}
{{1,4,5},{2,3,6,7,8}}=>{{1,3,4,5},{2,6,7,8}}
{{1,4,6,8},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6,8}}
{{1,6},{2},{3,4,5,7,8}}=>{{1,4,7,8},{2},{3,5,6}}
{{1,4,5},{2,3,6},{7,8}}=>{{1,3,4,5},{2,6},{7,8}}
{{1,4,5},{2,3,8},{6,7}}=>{{1,3,4,5},{2,7},{6,8}}
{{1,4,7},{2,3,8},{5,6}}=>{{1,3,4,8},{2,6},{5,7}}
{{1,3,4},{2,7},{5,6,8}}=>{{1,6,7},{2,3,4},{5,8}}
{{1,3,6,8},{2,7},{4,5}}=>{{1,5},{2,3,7},{4,6,8}}
{{1,2,8},{3,6},{4,5,7}}=>{{1,2,5,8},{3,7},{4,6}}
{{1,5,6},{2,4},{3,7,8}}=>{{1,7,8},{2,4},{3,5,6}}
{{1,7,8},{2,4,5},{3,6}}=>{{1,6},{2,4,7,8},{3,5}}
{{1,2},{3,6,7},{4,5,8}}=>{{1,2},{3,5,6,7},{4,8}}
{{1,6,7},{2,3},{4,5,8}}=>{{1,3},{2,5,6,7},{4,8}}
{{1,6,7},{2,5,8},{3,4}}=>{{1,4},{2,5,6,7},{3,8}}
{{1,4,8},{2,6,7},{3,5}}=>{{1,5},{2,6,8},{3,4,7}}
{{1,5,6},{2,8},{3,4,7}}=>{{1,4,5,6},{2,7},{3,8}}
{{1,6,7},{2,4,5},{3,8}}=>{{1,8},{2,4,6,7},{3,5}}
{{1,2,4},{3,6,7,8},{5}}=>{{1,2,6,7,8},{3,4},{5}}
{{1,4,8},{2},{3,6},{5},{7}}=>{{1,6},{2},{3,4,8},{5},{7}}
{{1,2,4},{3,5,6,8},{7}}=>{{1,2,5,6,8},{3,4},{7}}
{{1,2,3,6},{4},{5,8},{7}}=>{{1,2,3,8},{4},{5,6},{7}}
{{1},{2,4},{3,5,6,8},{7}}=>{{1},{2,5,6,8},{3,4},{7}}
{{1},{2,5},{3,4,6},{7,8}}=>{{1},{2,4,5},{3,6},{7,8}}
{{1,2},{3},{4,7},{5,6,8}}=>{{1,2},{3},{4,6,7},{5,8}}
{{1,3},{2,4,5,7},{6},{8}}=>{{1,4,5,7},{2,3},{6},{8}}
{{1,3},{2,4,6},{5,7},{8}}=>{{1,4,7},{2,3},{5,6},{8}}
{{1,3},{2,4},{5,6,7},{8}}=>{{1,4},{2,3},{5,6,7},{8}}
{{1,5},{2,3,4,7},{6},{8}}=>{{1,3,7},{2,4,5},{6},{8}}
{{1,6,7},{2,3,5,8},{4}}=>{{1,3,8},{2,5,6,7},{4}}
{{1,3,5,8},{2,4,6,7}}=>{{1,4,5,7},{2,3,6,8}}
{{1,3},{2,6},{4},{5},{7,8}}=>{{1,6},{2,3},{4},{5},{7,8}}
{{1,4},{2,3,8},{5},{6},{7}}=>{{1,3,4},{2,8},{5},{6},{7}}
{{1,5},{2,8},{3,7},{4},{6}}=>{{1,7},{2,8},{3,5},{4},{6}}
{{1,5},{2,8},{3},{4,6},{7}}=>{{1,6},{2,8},{3},{4,5},{7}}
{{1,3},{2,4,8},{5},{6},{7}}=>{{1,4,8},{2,3},{5},{6},{7}}
{{1,6,8},{2,4,5,7},{3}}=>{{1,4,7},{2,5,6,8},{3}}
{{1,4},{2,3,6},{5,7,8}}=>{{1,3,4},{2,7,8},{5,6}}
{{1,5,7,8},{2,3,6},{4}}=>{{1,3,5,7,8},{2,6},{4}}
{{1,2,3,6},{4},{5,7,8}}=>{{1,2,3,7,8},{4},{5,6}}
{{1,5,7,8},{2},{3,4,6}}=>{{1,4,5,7,8},{2},{3,6}}
{{1,3,4,6},{2},{5,7,8}}=>{{1,3,4,7,8},{2},{5,6}}
{{1,2,4},{3,5,7,8},{6}}=>{{1,2,5,7,8},{3,4},{6}}
{{1},{2,6,7},{3},{4,8},{5}}=>{{1},{2,8},{3},{4,6,7},{5}}
{{1,6,7},{2},{3},{4,8},{5}}=>{{1,8},{2},{3},{4,6,7},{5}}
{{1,5,7},{2},{3,8},{4},{6}}=>{{1,8},{2},{3,5,7},{4},{6}}
{{1},{2,5},{3,8},{4},{6,7}}=>{{1},{2,7},{3,5},{4},{6,8}}
{{1,5},{2,8},{3},{4},{6,7}}=>{{1,7},{2,5},{3},{4},{6,8}}
{{1,6},{2,8},{3},{4},{5,7}}=>{{1,7},{2,8},{3},{4},{5,6}}
{{1},{2,4,6},{3},{5,7},{8}}=>{{1},{2,4,7},{3},{5,6},{8}}
{{1,4,6},{2},{3},{5,7},{8}}=>{{1,4,7},{2},{3},{5,6},{8}}
{{1,5,7},{2},{3,4,6},{8}}=>{{1,4,5,7},{2},{3,6},{8}}
{{1,4,5,6},{2},{3,7},{8}}=>{{1,7},{2},{3,4,5,6},{8}}
{{1,3,8},{2,4,6},{5,7}}=>{{1,4,6},{2,3,7},{5,8}}
{{1,5,6,8},{2,7},{3,4}}=>{{1,4},{2,7},{3,5,6,8}}
{{1,4,6},{2,3,5,8},{7}}=>{{1,3,4,8},{2,5,6},{7}}
{{1,4,7},{2,3,6},{5,8}}=>{{1,3,4,6},{2,8},{5,7}}
{{1,6},{2,3,5,8},{4,7}}=>{{1,3,5,6},{2,7},{4,8}}
{{1,2,7},{3,5},{4,6,8}}=>{{1,2,6,7},{3,5},{4,8}}
{{1,3,6},{2,4,5,7,8}}=>{{1,4,7,8},{2,3,5,6}}
{{1,3,5},{2,7,8},{4,6}}=>{{1,6},{2,3,7,8},{4,5}}
{{1,3,4},{2,5,7,8},{6}}=>{{1,5,7,8},{2,3,4},{6}}
{{1,4,5,6},{2},{3,7,8}}=>{{1,7,8},{2},{3,4,5,6}}
{{1,2,5,7,8},{3},{4,6}}=>{{1,2,6},{3},{4,5,7,8}}
{{1},{2,3,6,8},{4,7},{5}}=>{{1},{2,3,7},{4,6,8},{5}}
{{1,3,6},{2,4},{5,7,8}}=>{{1,4},{2,3,7,8},{5,6}}
{{1,4,8},{2,5,7},{3,6}}=>{{1,6},{2,5,8},{3,4,7}}
{{1},{2,4,7},{3,5,6,8}}=>{{1},{2,5,8},{3,4,6,7}}
{{1},{2,4,5,7},{3,6,8}}=>{{1},{2,6,7},{3,4,5,8}}
{{1},{2,4,7},{3},{5},{6,8}}=>{{1},{2,4,8},{3},{5},{6,7}}
{{1,2,6,8},{3},{4,5,7}}=>{{1,2,5,6,8},{3},{4,7}}
{{1,4,6,8},{2,3,5},{7}}=>{{1,3,4,6,8},{2,5},{7}}
{{1,3,6},{2,4,5,7},{8}}=>{{1,4,7},{2,3,5,6},{8}}
{{1,4,7},{2,5},{3,6,8}}=>{{1,6,7},{2,5},{3,4,8}}
{{1,2,5,7},{3,8},{4,6}}=>{{1,2,6},{3,8},{4,5,7}}
{{1,3,4,5},{2,8},{6,7}}=>{{1,7},{2,3,4,5},{6,8}}
{{1,2,4,5},{3,8},{6,7}}=>{{1,2,7},{3,4,5},{6,8}}
{{1,3},{2,8},{4,5,6,7}}=>{{1,5,7},{2,3},{4,6,8}}
{{1,4},{2,5,6,7},{3,8}}=>{{1,8},{2,5,6,7},{3,4}}
{{1,4},{2,8},{3,5,6,7}}=>{{1,5,7},{2,6,8},{3,4}}
{{1,5},{2,8},{3,4,6,7}}=>{{1,4,5},{2,6,8},{3,7}}
{{1},{2,4},{3,5,7,8},{6}}=>{{1},{2,5,7,8},{3,4},{6}}
{{1},{2,3,6},{4,7},{5},{8}}=>{{1},{2,3,7},{4,6},{5},{8}}
{{1},{2,4,7},{3,8},{5},{6}}=>{{1},{2,8},{3,4,7},{5},{6}}
{{1},{2,5,7},{3},{4,8},{6}}=>{{1},{2,8},{3},{4,5,7},{6}}
{{1},{2,4,7},{3,5},{6},{8}}=>{{1},{2,5},{3,4,7},{6},{8}}
{{1},{2,5,8},{3,6},{4},{7}}=>{{1},{2,6},{3,5,8},{4},{7}}
{{1},{2,4,6,7},{3,5},{8}}=>{{1},{2,5},{3,4,6,7},{8}}
{{1,2,3,6,8},{4},{5,7}}=>{{1,2,3,7},{4},{5,6,8}}
{{1},{2,4,5,6,7},{3,8}}=>{{1},{2,8},{3,4,5,6,7}}
{{1,2,7},{3},{4},{5,6,8}}=>{{1,2,6,7},{3},{4},{5,8}}
{{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}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}
{{1},{2},{3},{4},{5},{6},{7,8,9}}=>{{1},{2},{3},{4},{5},{6},{7,8,9}}
{{1,2,3,4,5,6,7,8},{9}}=>{{1,2,3,4,5,6,7,8},{9}}
{{1},{2,3,4,5,6,7,8,9}}=>{{1},{2,3,4,5,6,7,8,9}}
{{1,2,3,4,5,6,8},{7},{9}}=>{{1,2,3,4,5,6,8},{7},{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}}=>{{1,2,3,4,5,7},{6,8},{9}}
{{1,2,3,4,5,7,8},{6},{9}}=>{{1,2,3,4,5,7,8},{6},{9}}
{{1},{2,3,4,5,6,8,9},{7}}=>{{1},{2,3,4,5,6,8,9},{7}}
{{1,2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}
{{1,3},{2},{4},{5},{6},{7},{8},{9}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}
{{1,4},{2},{3},{5},{6},{7},{8},{9}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9}}
{{1,5},{2},{3},{4},{6},{7},{8},{9}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9}}
{{1,6},{2},{3},{4},{5},{7},{8},{9}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9}}
{{1,7},{2},{3},{4},{5},{6},{8},{9}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9}}
{{1,8},{2},{3},{4},{5},{6},{7},{9}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}
{{1,2,3},{4},{5},{6},{7},{8},{9}}=>{{1,2,3},{4},{5},{6},{7},{8},{9}}
{{1,8,9},{2},{3},{4},{5},{6},{7}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}}
{{1,2,3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7,8,9}}
{{1,2,3,4,5,6,7},{8,9}}=>{{1,2,3,4,5,6,7},{8,9}}
{{1,2,3,4,5,6,7},{8},{9}}=>{{1,2,3,4,5,6,7},{8},{9}}
{{1,2,3,4,5,6},{7,8,9}}=>{{1,2,3,4,5,6},{7,8,9}}
{{1,2,3,4,5,6},{7,8},{9}}=>{{1,2,3,4,5,6},{7,8},{9}}
{{1,2,3,4,5,6},{7},{8},{9}}=>{{1,2,3,4,5,6},{7},{8},{9}}
{{1,2,3,4,5},{6,7,8,9}}=>{{1,2,3,4,5},{6,7,8,9}}
{{1,2,3,4,5},{6,7,8},{9}}=>{{1,2,3,4,5},{6,7,8},{9}}
{{1,2,3,4,5},{6,7},{8,9}}=>{{1,2,3,4,5},{6,7},{8,9}}
{{1,2,3,4,5},{6,7},{8},{9}}=>{{1,2,3,4,5},{6,7},{8},{9}}
{{1,2,3,4,5},{6},{7},{8},{9}}=>{{1,2,3,4,5},{6},{7},{8},{9}}
{{1,2,3,4},{5,6,7,8},{9}}=>{{1,2,3,4},{5,6,7,8},{9}}
{{1,2,3,4},{5,6,7},{8,9}}=>{{1,2,3,4},{5,6,7},{8,9}}
{{1,2,3,4},{5,6,7},{8},{9}}=>{{1,2,3,4},{5,6,7},{8},{9}}
{{1,2,3,4},{5,6},{7,8},{9}}=>{{1,2,3,4},{5,6},{7,8},{9}}
{{1,2,3,4},{5,6},{7},{8},{9}}=>{{1,2,3,4},{5,6},{7},{8},{9}}
{{1,2,3,4},{5},{6},{7},{8},{9}}=>{{1,2,3,4},{5},{6},{7},{8},{9}}
{{1,2,3},{4,5,6},{7,8,9}}=>{{1,2,3},{4,5,6},{7,8,9}}
{{1,2,3},{4,5,6},{7,8},{9}}=>{{1,2,3},{4,5,6},{7,8},{9}}
{{1,2,3},{4,5,6},{7},{8},{9}}=>{{1,2,3},{4,5,6},{7},{8},{9}}
{{1,2,3},{4,5},{6,7},{8,9}}=>{{1,2,3},{4,5},{6,7},{8,9}}
{{1,2,3},{4,5},{6,7},{8},{9}}=>{{1,2,3},{4,5},{6,7},{8},{9}}
{{1,2,3},{4,5},{6},{7},{8},{9}}=>{{1,2,3},{4,5},{6},{7},{8},{9}}
{{1,2},{3,4},{5,6},{7,8},{9}}=>{{1,2},{3,4},{5,6},{7,8},{9}}
{{1,2},{3,4},{5,6},{7},{8},{9}}=>{{1,2},{3,4},{5,6},{7},{8},{9}}
{{1,2},{3,4},{5},{6},{7},{8},{9}}=>{{1,2},{3,4},{5},{6},{7},{8},{9}}
{{1,4},{2,3},{5},{6},{7},{8},{9}}=>{{1,3},{2,4},{5},{6},{7},{8},{9}}
{{1,5},{2},{3,4},{6},{7},{8},{9}}=>{{1,4},{2},{3,5},{6},{7},{8},{9}}
{{1,6},{2},{3},{4,5},{7},{8},{9}}=>{{1,5},{2},{3},{4,6},{7},{8},{9}}
{{1,7},{2},{3},{4},{5,6},{8},{9}}=>{{1,6},{2},{3},{4},{5,7},{8},{9}}
{{1,8},{2},{3},{4},{5},{6,7},{9}}=>{{1,7},{2},{3},{4},{5},{6,8},{9}}
{{1,9},{2},{3},{4},{5},{6},{7,8}}=>{{1,8},{2},{3},{4},{5},{6},{7,9}}
{{1,3,4,5,6,7,8,9},{2}}=>{{1,3,4,5,6,7,8,9},{2}}
{{1,2,5,6,7,8,9},{3,4}}=>{{1,2,4},{3,5,6,7,8,9}}
{{1,4,5,6,7,8,9},{2},{3}}=>{{1,4,5,6,7,8,9},{2},{3}}
{{1,2,3,7,8,9},{4,5,6}}=>{{1,2,3,5,7,8,9},{4,6}}
{{1,3,6,7,8,9},{2,5},{4}}=>{{1,5},{2,3,6,7,8,9},{4}}
{{1,5,6,7,8,9},{2},{3},{4}}=>{{1,5,6,7,8,9},{2},{3},{4}}
{{1,2,3,4,9},{5,6,7,8}}=>{{1,2,3,4,6,8},{5,7,9}}
{{1,3,4,8,9},{2,6,7},{5}}=>{{1,6,8,9},{2,3,4,7},{5}}
{{1,2,7,8,9},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7,8,9}}
{{1,4,7,8,9},{2,6},{3},{5}}=>{{1,6},{2,4,7,8,9},{3},{5}}
{{1,6,7,8,9},{2},{3},{4},{5}}=>{{1,6,7,8,9},{2},{3},{4},{5}}
{{1,3,4,5},{2,7,8,9},{6}}=>{{1,7,8,9},{2,3,4,5},{6}}
{{1,2,5,9},{3,4,8},{6,7}}=>{{1,2,4,5,8},{3,7},{6,9}}
{{1,4,5,9},{2,7,8},{3},{6}}=>{{1,7,9},{2,4,5,8},{3},{6}}
{{1,3,8,9},{2,5},{4,7},{6}}=>{{1,7},{2,3,5},{4,8,9},{6}}
{{1,5,8,9},{2,7},{3},{4},{6}}=>{{1,7},{2,5,8,9},{3},{4},{6}}
{{1,7,8,9},{2},{3},{4},{5},{6}}=>{{1,7,8,9},{2},{3},{4},{5},{6}}
{{1,3,6},{2,5,9},{4,8},{7}}=>{{1,8},{2,3,5,6},{4,9},{7}}
{{1,5,6},{2,8,9},{3},{4},{7}}=>{{1,8,9},{2,5,6},{3},{4},{7}}
{{1,2,9},{3,4},{5,6},{7,8}}=>{{1,2,4},{3,6},{5,8},{7,9}}
{{1,4,9},{2,6},{3,8},{5},{7}}=>{{1,8},{2,6},{3,4,9},{5},{7}}
{{1,6,9},{2,8},{3},{4},{5},{7}}=>{{1,8},{2,6,9},{3},{4},{5},{7}}
{{1,3},{2,5},{4,7},{6,9},{8}}=>{{1,9},{2,3},{4,5},{6,7},{8}}
{{1,5},{2,7},{3,9},{4},{6},{8}}=>{{1,9},{2,7},{3,5},{4},{6},{8}}
{{1,7},{2,9},{3},{4},{5},{6},{8}}=>{{1,9},{2,7},{3},{4},{5},{6},{8}}
{{1},{2,4,5,6,7,8,9},{3}}=>{{1},{2,4,5,6,7,8,9},{3}}
{{1,3,4,5,6,7,8},{2},{9}}=>{{1,3,4,5,6,7,8},{2},{9}}
{{1},{2,5,6,7,8,9},{3,4}}=>{{1},{2,4},{3,5,6,7,8,9}}
{{1,4,5,6,7,8},{2,3},{9}}=>{{1,3},{2,4,5,6,7,8},{9}}
{{1},{2},{3},{4},{5},{6,7},{8,9}}=>{{1},{2},{3},{4},{5},{6,7},{8,9}}
{{1},{2},{3},{4,5},{6,7},{8,9}}=>{{1},{2},{3},{4,5},{6,7},{8,9}}
{{1},{2,3},{4,5},{6,7},{8,9}}=>{{1},{2,3},{4,5},{6,7},{8,9}}
{{1,8},{2,7},{3,6},{4,5},{9}}=>{{1,5},{2,6},{3,7},{4,8},{9}}
{{1},{2,9},{3,8},{4,7},{5,6}}=>{{1},{2,6},{3,7},{4,8},{5,9}}
{{1,2,7,8},{3,6},{4,5},{9}}=>{{1,2,5},{3,6},{4,7,8},{9}}
{{1},{2,3,8,9},{4,7},{5,6}}=>{{1},{2,3,6},{4,7},{5,8,9}}
{{1,2,3,6,7,8},{4,5},{9}}=>{{1,2,3,5},{4,6,7,8},{9}}
{{1},{2,3,4,7,8,9},{5,6}}=>{{1},{2,3,4,6},{5,7,8,9}}
{{1,2,3,4,5,6,7,9},{8}}=>{{1,2,3,4,5,6,7,9},{8}}
{{1,3,4,5,6,7},{2,9},{8}}=>{{1,9},{2,3,4,5,6,7},{8}}
{{1,2,3,4,5,7},{6,8},{9}}=>{{1,2,3,4,5,8},{6,7},{9}}
{{1,3,4,5,6,8},{2,9},{7}}=>{{1,9},{2,3,4,5,6,8},{7}}
{{1,3,4,5,6,9},{2,8},{7}}=>{{1,8},{2,3,4,5,6,9},{7}}
{{1,2},{3,4,5,6,7,8,9}}=>{{1,2},{3,4,5,6,7,8,9}}
{{1,2,3},{4,5,6,7,8,9}}=>{{1,2,3},{4,5,6,7,8,9}}
{{1,2,3,4},{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},{6,8},{7,9}}=>{{1},{2},{3},{4},{5},{6,9},{7,8}}
{{1},{2},{3},{4},{5,7},{6,9},{8}}=>{{1},{2},{3},{4},{5,9},{6,7},{8}}
{{1},{2},{3},{4,6},{5,9},{7},{8}}=>{{1},{2},{3},{4,9},{5,6},{7},{8}}
{{1},{2},{3,5},{4,9},{6},{7},{8}}=>{{1},{2},{3,9},{4,5},{6},{7},{8}}
{{1},{2,4},{3,9},{5},{6},{7},{8}}=>{{1},{2,9},{3,4},{5},{6},{7},{8}}
{{1,3},{2,9},{4},{5},{6},{7},{8}}=>{{1,9},{2,3},{4},{5},{6},{7},{8}}
{{1,3},{2,4},{5},{6},{7},{8},{9}}=>{{1,4},{2,3},{5},{6},{7},{8},{9}}
{{1,4},{2,5},{3,6},{7},{8},{9}}=>{{1,6},{2,5},{3,4},{7},{8},{9}}
{{1,2,4},{3,5},{6},{7},{8},{9}}=>{{1,2,5},{3,4},{6},{7},{8},{9}}
{{1,5},{2,6},{3,7},{4,8},{9}}=>{{1,8},{2,7},{3,6},{4,5},{9}}
{{1,2,5},{3,6},{4,7},{8},{9}}=>{{1,2,7},{3,6},{4,5},{8},{9}}
{{1,3,5},{2,4,6},{7},{8},{9}}=>{{1,4,5},{2,3,6},{7},{8},{9}}
{{1,2,3,5},{4,6},{7},{8},{9}}=>{{1,2,3,6},{4,5},{7},{8},{9}}
{{1,2,6},{3,7},{4,8},{5,9}}=>{{1,2,9},{3,8},{4,7},{5,6}}
{{1,3,6},{2,4,7},{5,8},{9}}=>{{1,4,7},{2,3,8},{5,6},{9}}
{{1,2,3,6},{4,7},{5,8},{9}}=>{{1,2,3,8},{4,7},{5,6},{9}}
{{1,2,4,6},{3,5,7},{8},{9}}=>{{1,2,5,6},{3,4,7},{8},{9}}
{{1,2,3,4,6},{5,7},{8},{9}}=>{{1,2,3,4,7},{5,6},{8},{9}}
{{1,4,7},{2,5,8},{3,6,9}}=>{{1,6,7},{2,5,8},{3,4,9}}
{{1,2,4,7},{3,5,8},{6,9}}=>{{1,2,5,8},{3,4,9},{6,7}}
{{1,2,3,4,7},{5,8},{6,9}}=>{{1,2,3,4,9},{5,8},{6,7}}
{{1,3,5,7},{2,4,6,8},{9}}=>{{1,4,5,8},{2,3,6,7},{9}}
{{1,2,3,5,7},{4,6,8},{9}}=>{{1,2,3,6,7},{4,5,8},{9}}
{{1,2,4,6,8},{3,5,7,9}}=>{{1,2,5,6,9},{3,4,7,8}}
{{1,2,3,4,6,8},{5,7,9}}=>{{1,2,3,4,7,8},{5,6,9}}
{{1,2,3,4,5,6,8},{7,9}}=>{{1,2,3,4,5,6,9},{7,8}}
{{1},{2,3,4,5,6,8},{7,9}}=>{{1},{2,3,4,5,6,9},{7,8}}
{{1,2,3,4,5,8,9},{6,7}}=>{{1,2,3,4,5,7},{6,8,9}}
{{1,2,3,4,5,6,9},{7},{8}}=>{{1,2,3,4,5,6,9},{7},{8}}
{{1,2,3,4,7,9},{5,8},{6}}=>{{1,2,3,4,8},{5,7,9},{6}}
{{1,2,3,4,5,9},{6},{7},{8}}=>{{1,2,3,4,5,9},{6},{7},{8}}
{{1,6,7,8,9},{2,3,4,5}}=>{{1,3,5},{2,4,6,7,8,9}}
{{1,2,6,7,9},{3,4,8},{5}}=>{{1,2,4,6,7,9},{3,8},{5}}
{{1,2,3,8,9},{4,5},{6,7}}=>{{1,2,3,5},{4,7},{6,8,9}}
{{1,2,3,6,9},{4,8},{5},{7}}=>{{1,2,3,8},{4,6,9},{5},{7}}
{{1,2,3,4,9},{5},{6},{7},{8}}=>{{1,2,3,4,9},{5},{6},{7},{8}}
{{1,2,3,8},{4},{5,6,7,9}}=>{{1,2,3,6,9},{4},{5,7,8}}
{{1,5,8,9},{2,6,7},{3,4}}=>{{1,4},{2,6,8,9},{3,5,7}}
{{1,5,6,9},{2,3,8},{4},{7}}=>{{1,3,5,6,9},{2,8},{4},{7}}
{{1,2,7,9},{3,6},{4},{5,8}}=>{{1,2,8},{3,6},{4},{5,7,9}}
{{1,2,5,9},{3,8},{4},{6},{7}}=>{{1,2,8},{3,5,9},{4},{6},{7}}
{{1,2,3,9},{4},{5},{6},{7},{8}}=>{{1,2,3,9},{4},{5},{6},{7},{8}}
{{1,5,8},{2,6},{3},{4,7,9}}=>{{1,7,8},{2,6},{3},{4,5,9}}
{{1,2,8},{3},{4,5,9},{6},{7}}=>{{1,2,5,8},{3},{4,9},{6},{7}}
{{1,8,9},{2,3},{4,5},{6,7}}=>{{1,3},{2,5},{4,7},{6,8,9}}
{{1,6,9},{2,7},{3},{4,8},{5}}=>{{1,8},{2,7},{3},{4,6,9},{5}}
{{1,4,9},{2,8},{3},{5},{6},{7}}=>{{1,8},{2,4,9},{3},{5},{6},{7}}
{{1,2,9},{3},{4},{5},{6},{7},{8}}=>{{1,2,9},{3},{4},{5},{6},{7},{8}}
{{1,4},{2},{3,6},{5,8},{7,9}}=>{{1,9},{2},{3,4},{5,6},{7,8}}
{{1,7},{2},{3,8},{4},{5,9},{6}}=>{{1,9},{2},{3,8},{4},{5,7},{6}}
{{1,8},{2},{3,9},{4},{5},{6},{7}}=>{{1,9},{2},{3,8},{4},{5},{6},{7}}
{{1,2,3,4,6,7,8,9},{5}}=>{{1,2,3,4,6,7,8,9},{5}}
{{1},{2},{3},{4},{5},{6,7,8,9}}=>{{1},{2},{3},{4},{5},{6,7,8,9}}
{{1},{2},{3},{4},{5,6,7,8,9}}=>{{1},{2},{3},{4},{5,6,7,8,9}}
{{1},{2},{3},{4,5,6,7,8,9}}=>{{1},{2},{3},{4,5,6,7,8,9}}
{{1},{2},{3},{4},{5},{6,8,9},{7}}=>{{1},{2},{3},{4},{5},{6,8,9},{7}}
{{1},{2},{3},{4},{5,7,8,9},{6}}=>{{1},{2},{3},{4},{5,7,8,9},{6}}
{{1},{2},{3},{4,6,7,8,9},{5}}=>{{1},{2},{3},{4,6,7,8,9},{5}}
{{1},{2},{3,5,6,7,8,9},{4}}=>{{1},{2},{3,5,6,7,8,9},{4}}
{{1,2,3,4,5,7,9},{6,8}}=>{{1,2,3,4,5,8},{6,7,9}}
{{1,2,3,5,7,9},{4,6,8}}=>{{1,2,3,6,7,9},{4,5,8}}
{{1,2,3,4,7,9},{5,6,8}}=>{{1,2,3,4,6,7,9},{5,8}}
{{1,2,3,6,8},{4,5,7,9}}=>{{1,2,3,5,6,9},{4,7,8}}
{{1,2,5,7,9},{3,4,6,8}}=>{{1,2,4,5,8},{3,6,7,9}}
{{1,4},{2},{3,5},{6},{7},{8},{9}}=>{{1,5},{2},{3,4},{6},{7},{8},{9}}
{{1,5},{2},{3,6},{4,7},{8},{9}}=>{{1,7},{2},{3,6},{4,5},{8},{9}}
{{1,5},{2,6},{3},{4},{7},{8},{9}}=>{{1,6},{2,5},{3},{4},{7},{8},{9}}
{{1,5},{2,3},{4,6},{7},{8},{9}}=>{{1,3},{2,6},{4,5},{7},{8},{9}}
{{1,5},{2,4},{3},{6},{7},{8},{9}}=>{{1,4},{2,5},{3},{6},{7},{8},{9}}
{{1,6},{2},{3,7},{4,8},{5,9}}=>{{1,9},{2},{3,8},{4,7},{5,6}}
{{1,6},{2,7},{3},{4},{5,8},{9}}=>{{1,8},{2,7},{3},{4},{5,6},{9}}
{{1,6},{2,3},{4,7},{5,8},{9}}=>{{1,3},{2,8},{4,7},{5,6},{9}}
{{1,6},{2,4},{3,7},{5},{8},{9}}=>{{1,7},{2,4},{3,6},{5},{8},{9}}
{{1,6},{2,4},{3},{5,7},{8},{9}}=>{{1,4},{2,7},{3},{5,6},{8},{9}}
{{1,6},{2,5},{3,4},{7},{8},{9}}=>{{1,4},{2,5},{3,6},{7},{8},{9}}
{{1,7},{2,8},{3,9},{4},{5},{6}}=>{{1,9},{2,8},{3,7},{4},{5},{6}}
{{1,7},{2,4},{3,8},{5},{6,9}}=>{{1,9},{2,4},{3,8},{5},{6,7}}
{{1,7},{2,4},{3},{5,8},{6,9}}=>{{1,4},{2,9},{3},{5,8},{6,7}}
{{1,7},{2,8},{3,5},{4,6},{9}}=>{{1,6},{2,5},{3,8},{4,7},{9}}
{{1,7},{2,5},{3},{4,8},{6},{9}}=>{{1,8},{2,5},{3},{4,7},{6},{9}}
{{1,7},{2,5},{3,4},{6,8},{9}}=>{{1,4},{2,5},{3,8},{6,7},{9}}
{{1,7},{2,6},{3,5},{4},{8},{9}}=>{{1,5},{2,6},{3,7},{4},{8},{9}}
{{1,8},{2,6},{3,9},{4},{5,7}}=>{{1,7},{2,9},{3,6},{4},{5,8}}
{{1,8},{2,6},{3,4},{5,9},{7}}=>{{1,4},{2,9},{3,6},{5,8},{7}}
{{1,8},{2,6},{3,5},{4},{7,9}}=>{{1,5},{2,6},{3,9},{4},{7,8}}
{{1,9},{2,8},{3,7},{4,6},{5}}=>{{1,6},{2,7},{3,8},{4,9},{5}}
{{1,5,9},{2},{3},{4},{6},{7},{8}}=>{{1,5,9},{2},{3},{4},{6},{7},{8}}
{{1,3,5,7,9},{2,4,6,8}}=>{{1,4,5,8},{2,3,6,7,9}}
{{1,3,5,7,9},{2,4,6},{8}}=>{{1,4,5,7,9},{2,3,6},{8}}
{{1,3,5,8},{2,4,6},{7,9}}=>{{1,4,5,9},{2,3,6},{7,8}}
{{1,3,5},{2,4,6,8},{7,9}}=>{{1,4,5},{2,3,6,9},{7,8}}
{{1},{2,4},{3,5,6,7,8,9}}=>{{1},{2,5,6,7,8,9},{3,4}}
{{1,3},{2,4,5,6,7,8},{9}}=>{{1,4,5,6,7,8},{2,3},{9}}
{{1,8},{2,9},{3},{4},{5},{6},{7}}=>{{1,9},{2,8},{3},{4},{5},{6},{7}}
{{1,7},{2},{3,9},{4},{5},{6},{8}}=>{{1,9},{2},{3,7},{4},{5},{6},{8}}
{{1,6},{2},{3},{4,9},{5},{7},{8}}=>{{1,9},{2},{3},{4,6},{5},{7},{8}}
{{1,5},{2},{3},{4},{6,9},{7},{8}}=>{{1,5},{2},{3},{4},{6,9},{7},{8}}
{{1,4},{2},{3},{5},{6},{7,9},{8}}=>{{1,4},{2},{3},{5},{6},{7,9},{8}}
{{1,3},{2},{4},{5},{6},{7},{8,9}}=>{{1,3},{2},{4},{5},{6},{7},{8,9}}
{{1},{2,4,6,8},{3,5,7,9}}=>{{1},{2,5,6,9},{3,4,7,8}}
{{1,7},{2},{3},{4,9},{5},{6},{8}}=>{{1,9},{2},{3},{4,7},{5},{6},{8}}
{{1,6},{2},{3},{4},{5,9},{7},{8}}=>{{1,9},{2},{3},{4},{5,6},{7},{8}}
{{1,2,3,4,5},{6,8},{7,9}}=>{{1,2,3,4,5},{6,9},{7,8}}
{{1,2,3},{4,6,8},{5,7,9}}=>{{1,2,3},{4,7,8},{5,6,9}}
{{1,3,4,5,6,7},{2},{8,9}}=>{{1,3,4,5,6,7},{2},{8,9}}
{{1,3,4,5,6},{2,8,9},{7}}=>{{1,8,9},{2,3,4,5,6},{7}}
{{1,3,4,5,6},{2},{7,8,9}}=>{{1,3,4,5,6},{2},{7,8,9}}
{{1,3},{2},{4},{5},{6},{7,9},{8}}=>{{1,3},{2},{4},{5},{6},{7,9},{8}}
{{1,7,9},{2,8},{3},{4},{5},{6}}=>{{1,8},{2,7,9},{3},{4},{5},{6}}
{{1,6},{2,7},{3,8},{4,9},{5}}=>{{1,9},{2,8},{3,7},{4,6},{5}}
{{1,6,9},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6,9},{4},{5}}
{{1,6,8},{2,7,9},{3},{4},{5}}=>{{1,7,8},{2,6,9},{3},{4},{5}}
{{1,6,8,9},{2,7},{3},{4},{5}}=>{{1,7},{2,6,8,9},{3},{4},{5}}
{{1,5,9},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5,9}}
{{1,5,8},{2,6,9},{3,7},{4}}=>{{1,7},{2,6,8},{3,5,9},{4}}
{{1,5,8,9},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5,8,9},{4}}
{{1,5,7,9},{2,6,8},{3},{4}}=>{{1,6,7,9},{2,5,8},{3},{4}}
{{1,5,7,8,9},{2,6},{3},{4}}=>{{1,6},{2,5,7,8,9},{3},{4}}
{{1,4,7,9},{2,5,8},{3,6}}=>{{1,6},{2,5,7,9},{3,4,8}}
{{1,4,7,8,9},{2,5},{3,6}}=>{{1,6},{2,5},{3,4,7,8,9}}
{{1,4,6,8},{2,5,7,9},{3}}=>{{1,5,6,9},{2,4,7,8},{3}}
{{1,4,6,8,9},{2,5,7},{3}}=>{{1,5,6,8,9},{2,4,7},{3}}
{{1,4,6,7,8,9},{2,5},{3}}=>{{1,5},{2,4,6,7,8,9},{3}}
{{1,3,5,7,8,9},{2,4,6}}=>{{1,4,5,7,8,9},{2,3,6}}
{{1,3,5,6,7,8,9},{2,4}}=>{{1,4},{2,3,5,6,7,8,9}}
{{1},{2,3},{4,5,6,7,8,9}}=>{{1},{2,3},{4,5,6,7,8,9}}
{{1,3,4,6,7,9},{2,5,8}}=>{{1,5,6,7,9},{2,3,4,8}}
{{1,5,9},{2,3,4,6,7,8}}=>{{1,3,6,8},{2,4,5,7,9}}
{{1,5,9},{2,4,6,8},{3,7}}=>{{1,7},{2,4,5,8},{3,6,9}}
{{1,4,6,9},{2,3,5,7,8}}=>{{1,3,4,7,9},{2,5,6,8}}
{{1,4,5,6,9},{2,7},{3,8}}=>{{1,8},{2,7},{3,4,5,6,9}}
{{1,4,5,6,9},{2,3,7,8}}=>{{1,3,4,5,6,8},{2,7,9}}
{{1,4,6,9},{2,3,7,8},{5}}=>{{1,3,4,6,8},{2,7,9},{5}}
{{1,2,3,7,8,9},{4},{5},{6}}=>{{1,2,3,7,8,9},{4},{5},{6}}
{{1,3,7,9},{2,8},{4},{5},{6}}=>{{1,8},{2,3,7,9},{4},{5},{6}}
{{1,3,4,5,6,7,9},{2,8}}=>{{1,8},{2,3,4,5,6,7,9}}
{{1,3,7,9},{2,8},{4,5,6}}=>{{1,5,7,9},{2,3,6},{4,8}}
{{1,3,7,9},{2,8},{4,6},{5}}=>{{1,6},{2,3,8},{4,7,9},{5}}
{{1,2,8,9},{3,4,5,6,7}}=>{{1,2,4,6,8,9},{3,5,7}}
{{1,2,8,9},{3,4,6,7},{5}}=>{{1,2,4,7},{3,6,8,9},{5}}
{{1,2,8,9},{3,7},{4,6},{5}}=>{{1,2,6},{3,7},{4,8,9},{5}}
{{1,2,4},{3,5,6},{7,8},{9}}=>{{1,2,5,6},{3,4},{7,8},{9}}
{{1,2,3,4,6},{5,7,8},{9}}=>{{1,2,3,4,7,8},{5,6},{9}}
{{1,2,3},{4,5,6,7},{8,9}}=>{{1,2,3},{4,5,6,7},{8,9}}
{{1},{2,3,4,5},{6,7},{8,9}}=>{{1},{2,3,4,5},{6,7},{8,9}}
{{1,4},{2},{3},{5},{6,9},{7},{8}}=>{{1,4},{2},{3},{5},{6,9},{7},{8}}
{{1},{2,3,4},{5,6,7,8,9}}=>{{1},{2,3,4},{5,6,7,8,9}}
{{1,2},{3,4},{5,6,7,8,9}}=>{{1,2},{3,4},{5,6,7,8,9}}
{{1},{2},{3,4},{5,6,7,8,9}}=>{{1},{2},{3,4},{5,6,7,8,9}}
{{1},{2,3,4,5},{6,7,8,9}}=>{{1},{2,3,4,5},{6,7,8,9}}
{{1,2},{3,4,5},{6,7,8,9}}=>{{1,2},{3,4,5},{6,7,8,9}}
{{1},{2},{3,4,5},{6,7,8,9}}=>{{1},{2},{3,4,5},{6,7,8,9}}
{{1},{2,3},{4,5},{6,7,8,9}}=>{{1},{2,3},{4,5},{6,7,8,9}}
{{1},{2},{3},{4,5},{6,7,8,9}}=>{{1},{2},{3},{4,5},{6,7,8,9}}
{{1},{2,3},{4,5,6},{7,8,9}}=>{{1},{2,3},{4,5,6},{7,8,9}}
{{1},{2},{3},{4,5,6},{7,8,9}}=>{{1},{2},{3},{4,5,6},{7,8,9}}
{{1,2},{3,4},{5,6},{7,8,9}}=>{{1,2},{3,4},{5,6},{7,8,9}}
{{1},{2},{3,4},{5,6},{7,8,9}}=>{{1},{2},{3,4},{5,6},{7,8,9}}
{{1},{2},{3},{4},{5,6},{7,8,9}}=>{{1},{2},{3},{4},{5,6},{7,8,9}}
{{1,2,3,7,8,9},{4,6},{5}}=>{{1,2,3,6},{4,7,8,9},{5}}
{{1,2,3,6,7,8,9},{4,5}}=>{{1,2,3,5},{4,6,7,8,9}}
{{1,2,7,8,9},{3,6},{4,5}}=>{{1,2,5},{3,6},{4,7,8,9}}
{{1,8,9},{2,7},{3,6},{4,5}}=>{{1,5},{2,6},{3,7},{4,8,9}}
{{1,2,4,6,8,9},{3,7},{5}}=>{{1,2,7},{3,4,6,8,9},{5}}
{{1,2,3,5,7,8,9},{4,6}}=>{{1,2,3,6},{4,5,7,8,9}}
{{1,2,3,6,7,8,9},{4},{5}}=>{{1,2,3,6,7,8,9},{4},{5}}
{{1,2,7,8,9},{3,4,5,6}}=>{{1,2,4,6},{3,5,7,8,9}}
{{1,8,9},{2,3,6,7},{4,5}}=>{{1,3,6,8,9},{2,5},{4,7}}
{{1,3,4,5,6,8,9},{2,7}}=>{{1,7},{2,3,4,5,6,8,9}}
{{1,2,4,5,6,7,9},{3,8}}=>{{1,2,8},{3,4,5,6,7,9}}
{{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,8},{9,10}}
{{1,8},{2,9},{3,5},{4,6},{7,10}}=>{{1,6},{2,5},{3,10},{4,9},{7,8}}
{{1,9},{2,7},{3,6},{4,5},{8,10}}=>{{1,5},{2,6},{3,7},{4,10},{8,9}}
{{1,6},{2,7},{3,8},{4,9},{5,10}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}}
{{1,7},{2,3},{4,8},{5,9},{6,10}}=>{{1,3},{2,10},{4,9},{5,8},{6,7}}
{{1,8},{2,5},{3,4},{6,9},{7,10}}=>{{1,4},{2,5},{3,10},{6,9},{7,8}}
{{1,9},{2,7},{3,5},{4,10},{6,8}}=>{{1,8},{2,5},{3,10},{4,7},{6,9}}
{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,6},{2,7},{3,8},{4,9},{5,10}}
{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}
{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}
{{1},{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}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}
{{1,2,3,4,5,6,7,8,9},{10}}=>{{1,2,3,4,5,6,7,8,9},{10}}
{{1},{2,3,4,5,6,7,8,9,10}}=>{{1},{2,3,4,5,6,7,8,9,10}}
{{1,2,3,4,5,6,7,9},{8},{10}}=>{{1,2,3,4,5,6,7,9},{8},{10}}
{{1},{2,3,4,5,6,7,8,10},{9}}=>{{1},{2,3,4,5,6,7,8,10},{9}}
{{1,3,5,7,9},{2,4,6,8,10}}=>{{1,4,5,8,9},{2,3,6,7,10}}
{{1,3,5,7,8},{2,4,6,9,10}}=>{{1,4,5,9,10},{2,3,6,7,8}}
{{1,3,5,6,9},{2,4,7,8,10}}=>{{1,4,5,6,8,9},{2,3,7,10}}
{{1,3,5,6,8},{2,4,7,9,10}}=>{{1,4,5,6,9,10},{2,3,7,8}}
{{1,3,5,6,7},{2,4,8,9,10}}=>{{1,4,5,6,7},{2,3,8,9,10}}
{{1,3,4,7,9},{2,5,6,8,10}}=>{{1,5,8,9},{2,3,4,6,7,10}}
{{1,3,4,7,8},{2,5,6,9,10}}=>{{1,5,9,10},{2,3,4,6,7,8}}
{{1,3,4,6,9},{2,5,7,8,10}}=>{{1,5,6,8,9},{2,3,4,7,10}}
{{1,3,4,6,8},{2,5,7,9,10}}=>{{1,5,6,9,10},{2,3,4,7,8}}
{{1,3,4,6,7},{2,5,8,9,10}}=>{{1,5,6,7},{2,3,4,8,9,10}}
{{1,3,4,5,9},{2,6,7,8,10}}=>{{1,6,8,9},{2,3,4,5,7,10}}
{{1,3,4,5,8},{2,6,7,9,10}}=>{{1,6,9,10},{2,3,4,5,7,8}}
{{1,3,4,5,7},{2,6,8,9,10}}=>{{1,6,7},{2,3,4,5,8,9,10}}
{{1,3,4,5,6},{2,7,8,9,10}}=>{{1,7,8,9,10},{2,3,4,5,6}}
{{1,2,5,7,9},{3,4,6,8,10}}=>{{1,2,4,5,8,9},{3,6,7,10}}
{{1,2,5,7,8},{3,4,6,9,10}}=>{{1,2,4,5,9,10},{3,6,7,8}}
{{1,2,5,6,9},{3,4,7,8,10}}=>{{1,2,4,5,6,8,9},{3,7,10}}
{{1,2,5,6,8},{3,4,7,9,10}}=>{{1,2,4,5,6,9,10},{3,7,8}}
{{1,2,5,6,7},{3,4,8,9,10}}=>{{1,2,4,5,6,7},{3,8,9,10}}
{{1,2,4,7,9},{3,5,6,8,10}}=>{{1,2,5,8,9},{3,4,6,7,10}}
{{1,2,4,7,8},{3,5,6,9,10}}=>{{1,2,5,9,10},{3,4,6,7,8}}
{{1,2,4,6,9},{3,5,7,8,10}}=>{{1,2,5,6,8,9},{3,4,7,10}}
{{1,2,4,6,8},{3,5,7,9,10}}=>{{1,2,5,6,9,10},{3,4,7,8}}
{{1,2,4,6,7},{3,5,8,9,10}}=>{{1,2,5,6,7},{3,4,8,9,10}}
{{1,2,4,5,9},{3,6,7,8,10}}=>{{1,2,6,8,9},{3,4,5,7,10}}
{{1,2,4,5,8},{3,6,7,9,10}}=>{{1,2,6,9,10},{3,4,5,7,8}}
{{1,2,4,5,7},{3,6,8,9,10}}=>{{1,2,6,7},{3,4,5,8,9,10}}
{{1,2,4,5,6},{3,7,8,9,10}}=>{{1,2,7,8,9,10},{3,4,5,6}}
{{1,2,3,7,9},{4,5,6,8,10}}=>{{1,2,3,5,8,9},{4,6,7,10}}
{{1,2,3,7,8},{4,5,6,9,10}}=>{{1,2,3,5,9,10},{4,6,7,8}}
{{1,2,3,6,9},{4,5,7,8,10}}=>{{1,2,3,5,6,8,9},{4,7,10}}
{{1,2,3,6,8},{4,5,7,9,10}}=>{{1,2,3,5,6,9,10},{4,7,8}}
{{1,2,3,6,7},{4,5,8,9,10}}=>{{1,2,3,5,6,7},{4,8,9,10}}
{{1,2,3,5,9},{4,6,7,8,10}}=>{{1,2,3,6,8,9},{4,5,7,10}}
{{1,2,3,5,8},{4,6,7,9,10}}=>{{1,2,3,6,9,10},{4,5,7,8}}
{{1,2,3,5,7},{4,6,8,9,10}}=>{{1,2,3,6,7},{4,5,8,9,10}}
{{1,2,3,5,6},{4,7,8,9,10}}=>{{1,2,3,7,8,9,10},{4,5,6}}
{{1,2,3,4,9},{5,6,7,8,10}}=>{{1,2,3,4,6,8,9},{5,7,10}}
{{1,2,3,4,8},{5,6,7,9,10}}=>{{1,2,3,4,6,9,10},{5,7,8}}
{{1,2,3,4,7},{5,6,8,9,10}}=>{{1,2,3,4,6,7},{5,8,9,10}}
{{1,2,3,4,6},{5,7,8,9,10}}=>{{1,2,3,4,7,8,9,10},{5,6}}
{{1,2,3,4,5},{6,7,8,9,10}}=>{{1,2,3,4,5},{6,7,8,9,10}}
{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}
{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}
{{1,4},{2},{3},{5},{6},{7},{8},{9},{10}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9},{10}}
{{1,5},{2},{3},{4},{6},{7},{8},{9},{10}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9},{10}}
{{1,6},{2},{3},{4},{5},{7},{8},{9},{10}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9},{10}}
{{1,7},{2},{3},{4},{5},{6},{8},{9},{10}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9},{10}}
{{1,8},{2},{3},{4},{5},{6},{7},{9},{10}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9},{10}}
{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}
{{1,2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9,10}}
{{1,2,3,4,5,6,7,8},{9,10}}=>{{1,2,3,4,5,6,7,8},{9,10}}
{{1,2,3,4,5,6,7,8},{9},{10}}=>{{1,2,3,4,5,6,7,8},{9},{10}}
{{1,2,3,4,5,6,7},{8,9,10}}=>{{1,2,3,4,5,6,7},{8,9,10}}
{{1,2,3,4,5,6,7},{8,9},{10}}=>{{1,2,3,4,5,6,7},{8,9},{10}}
{{1,2,3,4,5,6,7},{8},{9},{10}}=>{{1,2,3,4,5,6,7},{8},{9},{10}}
{{1,2,3,4,5,6},{7,8,9,10}}=>{{1,2,3,4,5,6},{7,8,9,10}}
{{1,2,3,4,5,6},{7,8,9},{10}}=>{{1,2,3,4,5,6},{7,8,9},{10}}
{{1,2,3,4,5,6},{7,8},{9,10}}=>{{1,2,3,4,5,6},{7,8},{9,10}}
{{1,2,3,4,5,6},{7,8},{9},{10}}=>{{1,2,3,4,5,6},{7,8},{9},{10}}
{{1,2,3,4,5,6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6},{7},{8},{9},{10}}
{{1,2,3,4,5},{6,7,8,9},{10}}=>{{1,2,3,4,5},{6,7,8,9},{10}}
{{1,2,3,4,5},{6,7,8},{9,10}}=>{{1,2,3,4,5},{6,7,8},{9,10}}
{{1,2,3,4,5},{6,7,8},{9},{10}}=>{{1,2,3,4,5},{6,7,8},{9},{10}}
{{1,2,3,4,5},{6,7},{8,9},{10}}=>{{1,2,3,4,5},{6,7},{8,9},{10}}
{{1,2,3,4,5},{6,7},{8},{9},{10}}=>{{1,2,3,4,5},{6,7},{8},{9},{10}}
{{1,2,3,4,5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5},{6},{7},{8},{9},{10}}
{{1,2,3,4},{5,6,7,8},{9,10}}=>{{1,2,3,4},{5,6,7,8},{9,10}}
{{1,2,3,4},{5,6,7,8},{9},{10}}=>{{1,2,3,4},{5,6,7,8},{9},{10}}
{{1,2,3,4},{5,6,7},{8,9,10}}=>{{1,2,3,4},{5,6,7},{8,9,10}}
{{1,2,3,4},{5,6,7},{8,9},{10}}=>{{1,2,3,4},{5,6,7},{8,9},{10}}
{{1,2,3,4},{5,6,7},{8},{9},{10}}=>{{1,2,3,4},{5,6,7},{8},{9},{10}}
{{1,2,3,4},{5,6},{7,8},{9,10}}=>{{1,2,3,4},{5,6},{7,8},{9,10}}
{{1,2,3,4},{5,6},{7,8},{9},{10}}=>{{1,2,3,4},{5,6},{7,8},{9},{10}}
{{1,2,3,4},{5,6},{7},{8},{9},{10}}=>{{1,2,3,4},{5,6},{7},{8},{9},{10}}
{{1,2,3,4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}}
{{1,2,3},{4,5,6},{7,8,9},{10}}=>{{1,2,3},{4,5,6},{7,8,9},{10}}
{{1,2,3},{4,5,6},{7,8},{9,10}}=>{{1,2,3},{4,5,6},{7,8},{9,10}}
{{1,2,3},{4,5,6},{7,8},{9},{10}}=>{{1,2,3},{4,5,6},{7,8},{9},{10}}
{{1,2,3},{4,5,6},{7},{8},{9},{10}}=>{{1,2,3},{4,5,6},{7},{8},{9},{10}}
{{1,2,3},{4,5},{6,7},{8,9},{10}}=>{{1,2,3},{4,5},{6,7},{8,9},{10}}
{{1,2,3},{4,5},{6,7},{8},{9},{10}}=>{{1,2,3},{4,5},{6,7},{8},{9},{10}}
{{1,2,3},{4,5},{6},{7},{8},{9},{10}}=>{{1,2,3},{4,5},{6},{7},{8},{9},{10}}
{{1,2,3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}}
{{1,2},{3,4},{5,6},{7,8},{9},{10}}=>{{1,2},{3,4},{5,6},{7,8},{9},{10}}
{{1,2},{3,4},{5,6},{7},{8},{9},{10}}=>{{1,2},{3,4},{5,6},{7},{8},{9},{10}}
{{1,2},{3,4},{5},{6},{7},{8},{9},{10}}=>{{1,2},{3,4},{5},{6},{7},{8},{9},{10}}
{{1,3,4,5,6,7,8,9,10},{2}}=>{{1,3,4,5,6,7,8,9,10},{2}}
{{1,2,5,6,7,8,9,10},{3,4}}=>{{1,2,4},{3,5,6,7,8,9,10}}
{{1,4,5,6,7,8,9,10},{2},{3}}=>{{1,4,5,6,7,8,9,10},{2},{3}}
{{1,2,3,7,8,9,10},{4,5,6}}=>{{1,2,3,5,7,8,9,10},{4,6}}
{{1,3,6,7,8,9,10},{2,5},{4}}=>{{1,5},{2,3,6,7,8,9,10},{4}}
{{1,5,6,7,8,9,10},{2},{3},{4}}=>{{1,5,6,7,8,9,10},{2},{3},{4}}
{{1,2,3,4,9,10},{5,6,7,8}}=>{{1,2,3,4,6,8},{5,7,9,10}}
{{1,3,4,8,9,10},{2,6,7},{5}}=>{{1,6,8,9,10},{2,3,4,7},{5}}
{{1,2,7,8,9,10},{3,4},{5,6}}=>{{1,2,4},{3,6},{5,7,8,9,10}}
{{1,4,7,8,9,10},{2,6},{3},{5}}=>{{1,6},{2,4,7,8,9,10},{3},{5}}
{{1,6,7,8,9,10},{2},{3},{4},{5}}=>{{1,6,7,8,9,10},{2},{3},{4},{5}}
{{1,3,4,5,10},{2,7,8,9},{6}}=>{{1,7,9},{2,3,4,5,8,10},{6}}
{{1,2,5,9,10},{3,4,8},{6,7}}=>{{1,2,4,5,8},{3,7},{6,9,10}}
{{1,4,5,9,10},{2,7,8},{3},{6}}=>{{1,7,9,10},{2,4,5,8},{3},{6}}
{{1,3,8,9,10},{2,5},{4,7},{6}}=>{{1,7},{2,3,5},{4,8,9,10},{6}}
{{1,5,8,9,10},{2,7},{3},{4},{6}}=>{{1,7},{2,5,8,9,10},{3},{4},{6}}
{{1,7,8,9,10},{2},{3},{4},{5},{6}}=>{{1,7,8,9,10},{2},{3},{4},{5},{6}}
{{1,2,5,6},{3,4,9,10},{7,8}}=>{{1,2,4,5,6},{3,8},{7,9,10}}
{{1,4,5,6},{2,8,9,10},{3},{7}}=>{{1,8,9,10},{2,4,5,6},{3},{7}}
{{1,2,3,10},{4,5,6},{7,8,9}}=>{{1,2,3,5,8,10},{4,6},{7,9}}
{{1,3,6,10},{2,5,9},{4,8},{7}}=>{{1,8},{2,3,5,6,10},{4,9},{7}}
{{1,5,6,10},{2,8,9},{3},{4},{7}}=>{{1,8,10},{2,5,6,9},{3},{4},{7}}
{{1,2,9,10},{3,4},{5,6},{7,8}}=>{{1,2,4},{3,6},{5,8},{7,9,10}}
{{1,4,9,10},{2,6},{3,8},{5},{7}}=>{{1,8},{2,6},{3,4,9,10},{5},{7}}
{{1,6,9,10},{2,8},{3},{4},{5},{7}}=>{{1,8},{2,6,9,10},{3},{4},{5},{7}}
{{1,8,9,10},{2},{3},{4},{5},{6},{7}}=>{{1,8,9,10},{2},{3},{4},{5},{6},{7}}
{{1,3,4},{2,6,7},{5,9,10},{8}}=>{{1,9,10},{2,3,4},{5,6,7},{8}}
{{1,2,7},{3,4,10},{5,6},{8,9}}=>{{1,2,4,9},{3,6},{5,7},{8,10}}
{{1,4,7},{2,6,10},{3,9},{5},{8}}=>{{1,9},{2,6,7},{3,4,10},{5},{8}}
{{1,6,7},{2,9,10},{3},{4},{5},{8}}=>{{1,9,10},{2,6,7},{3},{4},{5},{8}}
{{1,3,10},{2,5},{4,7},{6,9},{8}}=>{{1,9},{2,3,5},{4,7},{6,10},{8}}
{{1,5,10},{2,7},{3,9},{4},{6},{8}}=>{{1,9},{2,7},{3,5,10},{4},{6},{8}}
{{1,7,10},{2,9},{3},{4},{5},{6},{8}}=>{{1,9},{2,7,10},{3},{4},{5},{6},{8}}
{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}
{{1,4},{2,6},{3,8},{5,10},{7},{9}}=>{{1,10},{2,8},{3,4},{5,6},{7},{9}}
{{1,6},{2,8},{3,10},{4},{5},{7},{9}}=>{{1,10},{2,8},{3,6},{4},{5},{7},{9}}
{{1,8},{2,10},{3},{4},{5},{6},{7},{9}}=>{{1,10},{2,8},{3},{4},{5},{6},{7},{9}}
{{1},{2,4,5,6,7,8,9,10},{3}}=>{{1},{2,4,5,6,7,8,9,10},{3}}
{{1,3,4,5,6,7,8,9},{2},{10}}=>{{1,3,4,5,6,7,8,9},{2},{10}}
{{1,2},{3,4},{5,6},{7,8,9,10}}=>{{1,2},{3,4},{5,6},{7,8,9,10}}
{{1,2},{3,4},{5,6,7,8},{9,10}}=>{{1,2},{3,4},{5,6,7,8},{9,10}}
{{1,2},{3,4},{5,6,7,8,9,10}}=>{{1,2},{3,4},{5,6,7,8,9,10}}
{{1,2},{3,4},{5,7,8,10},{6,9}}=>{{1,2},{3,4},{5,9},{6,7,8,10}}
{{1,2},{3,4,5,6},{7,8},{9,10}}=>{{1,2},{3,4,5,6},{7,8},{9,10}}
{{1,2},{3,4,5,6},{7,8,9,10}}=>{{1,2},{3,4,5,6},{7,8,9,10}}
{{1,2},{3,4,5,6,7,8},{9,10}}=>{{1,2},{3,4,5,6,7,8},{9,10}}
{{1,2},{3,4,5,6,7,8,9,10}}=>{{1,2},{3,4,5,6,7,8,9,10}}
{{1,2},{3,4,5,7,8,10},{6,9}}=>{{1,2},{3,4,5,9},{6,7,8,10}}
{{1,2},{3,5,6,8},{4,7},{9,10}}=>{{1,2},{3,7},{4,5,6,8},{9,10}}
{{1,2},{3,5,6,8,9,10},{4,7}}=>{{1,2},{3,7},{4,5,6,8,9,10}}
{{1,2},{3,6,7,10},{4,5,8,9}}=>{{1,2},{3,5,6,7,9},{4,8,10}}
{{1,2,3,4},{5,6},{7,8,9,10}}=>{{1,2,3,4},{5,6},{7,8,9,10}}
{{1,2,3,4},{5,6,7,8,9,10}}=>{{1,2,3,4},{5,6,7,8,9,10}}
{{1,2,3,4},{5,7,8,10},{6,9}}=>{{1,2,3,4},{5,9},{6,7,8,10}}
{{1,2,3,4,5,7,8,10},{6,9}}=>{{1,2,3,4,5,9},{6,7,8,10}}
{{1,2,3,5,6,8},{4,7},{9,10}}=>{{1,2,3,7},{4,5,6,8},{9,10}}
{{1,2,3,5,6,8,9,10},{4,7}}=>{{1,2,3,7},{4,5,6,8,9,10}}
{{1,2,3,6,7,10},{4,5,8,9}}=>{{1,2,3,5,6,7,9},{4,8,10}}
{{1,3,4,6},{2,5},{7,8},{9,10}}=>{{1,5},{2,3,4,6},{7,8},{9,10}}
{{1,3,4,6},{2,5},{7,8,9,10}}=>{{1,5},{2,3,4,6},{7,8,9,10}}
{{1,3,4,6,7,8},{2,5},{9,10}}=>{{1,5},{2,3,4,6,7,8},{9,10}}
{{1,3,4,6,7,8,9,10},{2,5}}=>{{1,5},{2,3,4,6,7,8,9,10}}
{{1,3,4,7,8,10},{2,5},{6,9}}=>{{1,5},{2,3,4,9},{6,7,8,10}}
{{1,3,4,7,8,10},{2,5,6,9}}=>{{1,5,9},{2,3,4,6,7,8,10}}
{{1,4,5,8},{2,3,6,7},{9,10}}=>{{1,3,4,5,7},{2,6,8},{9,10}}
{{1,4,5,8,9,10},{2,3,6,7}}=>{{1,3,4,5,7},{2,6,8,9,10}}
{{1,2,4,5,6,7,9,10},{3,8}}=>{{1,2,8},{3,4,5,6,7,9,10}}
{{1,5,6,10},{2,4,7,9},{3,8}}=>{{1,8},{2,4,5,6,9},{3,7,10}}
{{1},{2},{3},{4},{5},{6},{7,8},{9,10}}=>{{1},{2},{3},{4},{5},{6},{7,8},{9,10}}
{{1},{2},{3},{4},{5,6},{7,8},{9,10}}=>{{1},{2},{3},{4},{5,6},{7,8},{9,10}}
{{1},{2},{3,4},{5,6},{7,8},{9,10}}=>{{1},{2},{3,4},{5,6},{7,8},{9,10}}
{{1,2,4,8},{3,6},{5,10},{7},{9}}=>{{1,2,10},{3,4,6},{5,8},{7},{9}}
{{1,2,4,9},{3,6,10},{5},{7},{8}}=>{{1,2,6,9},{3,4,10},{5},{7},{8}}
{{1,2,4,10},{3,7},{5,8},{6},{9}}=>{{1,2,8},{3,4,7},{5,10},{6},{9}}
{{1,2,4,9},{3,7,10},{5},{6},{8}}=>{{1,2,7,9},{3,4,10},{5},{6},{8}}
{{1,2,4},{3,8},{5,9},{6},{7,10}}=>{{1,2,10},{3,4},{5,9},{6},{7,8}}
{{1,2,5,10},{3,8},{4,6},{7},{9}}=>{{1,2,6},{3,8},{4,5,10},{7},{9}}
{{1,2,5},{3,9},{4,6,10},{7},{8}}=>{{1,2,6,9},{3,10},{4,5},{7},{8}}
{{1,2,5},{3,7},{4,10},{6,8},{9}}=>{{1,2,8},{3,10},{4,5},{6,7},{9}}
{{1,2,5},{3,7},{4,9},{6},{8,10}}=>{{1,2,10},{3,7},{4,5},{6},{8,9}}
{{1,2,5,9},{3,8,10},{4},{6},{7}}=>{{1,2,8,9},{3,5,10},{4},{6},{7}}
{{1,2,6,8},{3,10},{4,7},{5},{9}}=>{{1,2,7},{3,10},{4,6,8},{5},{9}}
{{1,2,6},{3,9},{4,7},{5},{8,10}}=>{{1,2,7},{3,10},{4,6},{5},{8,9}}
{{1,2,6,9},{3,8,10},{4},{5},{7}}=>{{1,2,8,9},{3,6,10},{4},{5},{7}}
{{1,2,7},{3},{4,8,10},{5},{6,9}}=>{{1,2,9},{3},{4,8,10},{5},{6,7}}
{{1,3,4,8},{2,6},{5,10},{7},{9}}=>{{1,10},{2,3,4,6},{5,8},{7},{9}}
{{1,3,4,9},{2,6,10},{5},{7},{8}}=>{{1,6,9},{2,3,4,10},{5},{7},{8}}
{{1,3,4,10},{2,7},{5,8},{6},{9}}=>{{1,8},{2,3,4,7},{5,10},{6},{9}}
{{1,3,4,9},{2,7,10},{5},{6},{8}}=>{{1,7,9},{2,3,4,10},{5},{6},{8}}
{{1,3,4},{2,8},{5,9},{6},{7,10}}=>{{1,10},{2,3,4},{5,9},{6},{7,8}}
{{1,3,8},{2,5,6},{4,10},{7},{9}}=>{{1,10},{2,3,5,8},{4,6},{7},{9}}
{{1,3,9},{2,5,6,10},{4},{7},{8}}=>{{1,5,10},{2,3,6,9},{4},{7},{8}}
{{1,3,7,8},{2,5},{4,10},{6},{9}}=>{{1,10},{2,3,5},{4,7,8},{6},{9}}
{{1,3,7},{2,5},{4,9,10},{6},{8}}=>{{1,9,10},{2,3,5},{4,7},{6},{8}}
{{1,3,8},{2,5,9,10},{4},{6},{7}}=>{{1,5,8},{2,3,9,10},{4},{6},{7}}
{{1,3,10},{2,6},{4,7,8},{5},{9}}=>{{1,7,10},{2,3,6},{4,8},{5},{9}}
{{1,3,9,10},{2,6},{4,7},{5},{8}}=>{{1,7},{2,3,6},{4,9,10},{5},{8}}
{{1,3,8},{2,6,9,10},{4},{5},{7}}=>{{1,6,8},{2,3,9,10},{4},{5},{7}}
{{1,3},{2,7},{4,8},{5},{6,9,10}}=>{{1,9,10},{2,3},{4,8},{5},{6,7}}
{{1,4,10},{2,8},{3,5,6},{7},{9}}=>{{1,5,10},{2,6},{3,4,8},{7},{9}}
{{1,4},{2,9},{3,5,6,10},{7},{8}}=>{{1,5,10},{2,6,9},{3,4},{7},{8}}
{{1,4,10},{2,7,8},{3,5},{6},{9}}=>{{1,5},{2,7,10},{3,4,8},{6},{9}}
{{1,4,9,10},{2,7},{3,5},{6},{8}}=>{{1,5},{2,7},{3,4,9,10},{6},{8}}
{{1,4},{2,8},{3,5,9,10},{6},{7}}=>{{1,5,8},{2,9,10},{3,4},{6},{7}}
{{1,4},{2,6},{3,10},{5,7,8},{9}}=>{{1,7,10},{2,8},{3,4},{5,6},{9}}
{{1,4},{2,6},{3,9,10},{5,7},{8}}=>{{1,7},{2,9,10},{3,4},{5,6},{8}}
{{1,4},{2,6},{3,8},{5},{7,9,10}}=>{{1,9,10},{2,6},{3,4},{5},{7,8}}
{{1,4,8},{2,7,9,10},{3},{5},{6}}=>{{1,7,8},{2,4,9,10},{3},{5},{6}}
{{1,5,7,8},{2,10},{3,6},{4},{9}}=>{{1,6},{2,10},{3,5,7,8},{4},{9}}
{{1,5,7},{2,9,10},{3,6},{4},{8}}=>{{1,6},{2,9,10},{3,5,7},{4},{8}}
{{1,5},{2,8},{3,6},{4},{7,9,10}}=>{{1,6},{2,9,10},{3,5},{4},{7,8}}
{{1,5,8},{2,7,9,10},{3},{4},{6}}=>{{1,7,8},{2,5,9,10},{3},{4},{6}}
{{1,6},{2},{3,7,9,10},{4},{5,8}}=>{{1,8},{2},{3,7,9,10},{4},{5,6}}
{{1,9},{2,8},{3,7},{4,6},{5},{10}}=>{{1,6},{2,7},{3,8},{4,9},{5},{10}}
{{1},{2,10},{3,9},{4,8},{5,7},{6}}=>{{1},{2,7},{3,8},{4,9},{5,10},{6}}
{{1,2,8,9},{3,7},{4,6},{5},{10}}=>{{1,2,6},{3,7},{4,8,9},{5},{10}}
{{1},{2,3,9,10},{4,8},{5,7},{6}}=>{{1},{2,3,7},{4,8},{5,9,10},{6}}
{{1,2,3,4,5,6,7,8,10},{9}}=>{{1,2,3,4,5,6,7,8,10},{9}}
{{1,4,5,6,7,10},{2,8},{3,9}}=>{{1,9},{2,8},{3,4,5,6,7,10}}
{{1,7,10},{2,8},{3,9},{4},{5},{6}}=>{{1,9},{2,8},{3,7,10},{4},{5},{6}}
{{1,2,3,6,7,8,9,10},{4},{5}}=>{{1,2,3,6,7,8,9,10},{4},{5}}
{{1,3,7,9,10},{2,6,8},{4},{5}}=>{{1,6,7,9,10},{2,3,8},{4},{5}}
{{1,3,4,5,7,9,10},{2,6,8}}=>{{1,6,7,9,10},{2,3,4,5,8}}
{{1,3,4,5,6,7,9,10},{2,8}}=>{{1,8},{2,3,4,5,6,7,9,10}}
{{1,3,7,9,10},{2,8},{4},{5},{6}}=>{{1,8},{2,3,7,9,10},{4},{5},{6}}
{{1,2,7,8},{3,9},{4,5,6,10}}=>{{1,2,5,9},{3,6,7,8},{4,10}}
{{1,2,7,8},{3,9},{4},{5},{6,10}}=>{{1,2,10},{3,9},{4},{5},{6,7,8}}
{{1,2,6,7,8,10},{3,9},{4},{5}}=>{{1,2,9},{3,6,7,8,10},{4},{5}}
{{1,7},{2,3,6,8,9},{4},{5},{10}}=>{{1,3,8,9},{2,6,7},{4},{5},{10}}
{{1,2,7,8},{3,4,5,9},{6,10}}=>{{1,2,4,10},{3,5,9},{6,7,8}}
{{1,2,6,7,8,10},{3,4,5,9}}=>{{1,2,4,9},{3,5,6,7,8,10}}
{{1,7},{2,3,4,5,6,8,9},{10}}=>{{1,3,5,8,9},{2,4,6,7},{10}}
{{1,3,5,7,9,10},{2,6,8},{4}}=>{{1,6,7,9,10},{2,3,5,8},{4}}
{{1,2,3,5,6,7,8,9,10},{4}}=>{{1,2,3,5,6,7,8,9,10},{4}}
{{1,2,4,5,6,7,8,10},{3,9}}=>{{1,2,9},{3,4,5,6,7,8,10}}
{{1,2,5,6,7,8,10},{3,9},{4}}=>{{1,2,9},{3,5,6,7,8,10},{4}}
{{1,7},{2,3,5,6,8,9},{4},{10}}=>{{1,3,6,7},{2,5,8,9},{4},{10}}
{{1,2,5,6,7,8,10},{3,4,9}}=>{{1,2,4,5,6,7,8,10},{3,9}}
{{1,2,3,4,6,7,8,9,10},{5}}=>{{1,2,3,4,6,7,8,9,10},{5}}
{{1,7},{2,3,4,8},{5},{6,9},{10}}=>{{1,3,9},{2,4,8},{5},{6,7},{10}}
{{1,2,4,5,6,7,9},{3,8,10}}=>{{1,2,8,9},{3,4,5,6,7,10}}
{{1,7},{2,4,5,6,9},{3,8},{10}}=>{{1,8},{2,4,6,7},{3,5,9},{10}}
{{1,3,6,7,8,9,10},{2,4},{5}}=>{{1,4},{2,3,6,7,8,9,10},{5}}
{{1,7},{2,4},{3,8},{5},{6,9},{10}}=>{{1,9},{2,4},{3,8},{5},{6,7},{10}}
{{1,2,3,4,6,7,9},{5,8,10}}=>{{1,2,3,4,8,9},{5,6,7,10}}
{{1,2,4,5,6,8,9,10},{3,7}}=>{{1,2,7},{3,4,5,6,8,9,10}}
{{1,2,4,6,9},{3,7},{5,8,10}}=>{{1,2,8,9},{3,4,7},{5,6,10}}
{{1,2,3,5,6,7,9,10},{4,8}}=>{{1,2,3,8},{4,5,6,7,9,10}}
{{1,2,5,6,9,10},{3,7},{4,8}}=>{{1,2,8},{3,7},{4,5,6,9,10}}
{{1,2,6},{3,7},{4,8},{5,9,10}}=>{{1,2,9,10},{3,8},{4,7},{5,6}}
{{1,2,6},{3,7},{4,5,8,9,10}}=>{{1,2,5,6},{3,8,9,10},{4,7}}
{{1,2,6},{3,4,5,7,8,9,10}}=>{{1,2,4,7,8,9,10},{3,5,6}}
{{1,3,6},{2,4,5,7,8,9,10}}=>{{1,4,7,8,9,10},{2,3,5,6}}
{{1,3,6},{2,4,7,9},{5,8,10}}=>{{1,4,7,10},{2,3,8,9},{5,6}}
{{1,3,6},{2,5,7,9,10},{4,8}}=>{{1,8},{2,3,5,6},{4,7,9,10}}
{{1,3,4,6,8,9},{2,5,7,10}}=>{{1,5,6,10},{2,3,4,7,8,9}}
{{1,2,3,6,7},{4,8},{5,9,10}}=>{{1,2,3,9,10},{4,8},{5,6,7}}
{{1,3,4,5,6,8,9,10},{2,7}}=>{{1,7},{2,3,4,5,6,8,9,10}}
{{1,4,6,9},{2,3,5,7,8,10}}=>{{1,3,4,7,10},{2,5,6,8,9}}
{{1,4,6,9},{2,5,7,10},{3,8}}=>{{1,8},{2,5,6,10},{3,4,7,9}}
{{1,2,3,4,6,7,8},{5,9,10}}=>{{1,2,3,4,9,10},{5,6,7,8}}
{{1,4,5,6,9,10},{2,7},{3,8}}=>{{1,8},{2,7},{3,4,5,6,9,10}}
{{1,2,3,5,6,7,8,10},{4,9}}=>{{1,2,3,9},{4,5,6,7,8,10}}
{{1,2,5,6,7,10},{3,8},{4,9}}=>{{1,2,9},{3,8},{4,5,6,7,10}}
{{1,5,6,10},{2,7},{3,8},{4,9}}=>{{1,9},{2,8},{3,7},{4,5,6,10}}
{{1,3,4,5,6,7,8},{2,10},{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}}
{{1,3},{2,4},{5},{6},{7},{8},{9},{10}}=>{{1,4},{2,3},{5},{6},{7},{8},{9},{10}}
{{1,4},{2,5},{3,6},{7},{8},{9},{10}}=>{{1,6},{2,5},{3,4},{7},{8},{9},{10}}
{{1,2,4},{3,5},{6},{7},{8},{9},{10}}=>{{1,2,5},{3,4},{6},{7},{8},{9},{10}}
{{1,5},{2,6},{3,7},{4,8},{9},{10}}=>{{1,8},{2,7},{3,6},{4,5},{9},{10}}
{{1,2,5},{3,6},{4,7},{8},{9},{10}}=>{{1,2,7},{3,6},{4,5},{8},{9},{10}}
{{1,3,5},{2,4,6},{7},{8},{9},{10}}=>{{1,4,5},{2,3,6},{7},{8},{9},{10}}
{{1,2,3,5},{4,6},{7},{8},{9},{10}}=>{{1,2,3,6},{4,5},{7},{8},{9},{10}}
{{1,2,6},{3,7},{4,8},{5,9},{10}}=>{{1,2,9},{3,8},{4,7},{5,6},{10}}
{{1,3,6},{2,4,7},{5,8},{9},{10}}=>{{1,4,7},{2,3,8},{5,6},{9},{10}}
{{1,2,3,6},{4,7},{5,8},{9},{10}}=>{{1,2,3,8},{4,7},{5,6},{9},{10}}
{{1,2,4,6},{3,5,7},{8},{9},{10}}=>{{1,2,5,6},{3,4,7},{8},{9},{10}}
{{1,2,3,4,6},{5,7},{8},{9},{10}}=>{{1,2,3,4,7},{5,6},{8},{9},{10}}
{{1,3,7},{2,4,8},{5,9},{6,10}}=>{{1,4,9},{2,3,10},{5,8},{6,7}}
{{1,2,3,7},{4,8},{5,9},{6,10}}=>{{1,2,3,10},{4,9},{5,8},{6,7}}
{{1,4,7},{2,5,8},{3,6,9},{10}}=>{{1,6,7},{2,5,8},{3,4,9},{10}}
{{1,2,4,7},{3,5,8},{6,9},{10}}=>{{1,2,5,8},{3,4,9},{6,7},{10}}
{{1,2,3,4,7},{5,8},{6,9},{10}}=>{{1,2,3,4,9},{5,8},{6,7},{10}}
{{1,3,5,7},{2,4,6,8},{9},{10}}=>{{1,4,5,8},{2,3,6,7},{9},{10}}
{{1,2,3,5,7},{4,6,8},{9},{10}}=>{{1,2,3,6,7},{4,5,8},{9},{10}}
{{1,2,3,4,5,7},{6,8},{9},{10}}=>{{1,2,3,4,5,8},{6,7},{9},{10}}
{{1,2,5,8},{3,6,9},{4,7,10}}=>{{1,2,7,8},{3,6,9},{4,5,10}}
{{1,3,5,8},{2,4,6,9},{7,10}}=>{{1,4,5,10},{2,3,6,9},{7,8}}
{{1,2,3,5,8},{4,6,9},{7,10}}=>{{1,2,3,6,9},{4,5,10},{7,8}}
{{1,2,3,4,5,8},{6,9},{7,10}}=>{{1,2,3,4,5,10},{6,9},{7,8}}
{{1,2,4,6,8},{3,5,7,9},{10}}=>{{1,2,5,6,9},{3,4,7,8},{10}}
{{1,2,3,4,6,8},{5,7,9},{10}}=>{{1,2,3,4,7,8},{5,6,9},{10}}
{{1,2,3,4,5,6,8},{7,9},{10}}=>{{1,2,3,4,5,6,9},{7,8},{10}}
{{1,2,3,5,7,9},{4,6,8,10}}=>{{1,2,3,6,7,10},{4,5,8,9}}
{{1,2,3,4,5,7,9},{6,8,10}}=>{{1,2,3,4,5,8,9},{6,7,10}}
{{1,2,3,4,5,6,7,9},{8,10}}=>{{1,2,3,4,5,6,7,10},{8,9}}
{{1,2,3,4,5,6,9,10},{7,8}}=>{{1,2,3,4,5,6,8},{7,9,10}}
{{1,2,3,4,5,6,7,10},{8},{9}}=>{{1,2,3,4,5,6,7,10},{8},{9}}
{{1,2,3,4,8,9,10},{5,6,7}}=>{{1,2,3,4,6,8,9,10},{5,7}}
{{1,2,3,4,5,8,10},{6,9},{7}}=>{{1,2,3,4,5,9},{6,8,10},{7}}
{{1,2,3,4,5,6,10},{7},{8},{9}}=>{{1,2,3,4,5,6,10},{7},{8},{9}}
{{1,2,7,8,9,10},{3,4,5,6}}=>{{1,2,4,6},{3,5,7,8,9,10}}
{{1,2,3,7,8,10},{4,5,9},{6}}=>{{1,2,3,5,7,8,10},{4,9},{6}}
{{1,2,3,4,9,10},{5,6},{7,8}}=>{{1,2,3,4,6},{5,8},{7,9,10}}
{{1,2,3,4,7,10},{5,9},{6},{8}}=>{{1,2,3,4,9},{5,7,10},{6},{8}}
{{1,2,3,4,5,10},{6},{7},{8},{9}}=>{{1,2,3,4,5,10},{6},{7},{8},{9}}
{{1,6,7,8,10},{2,3,4,9},{5}}=>{{1,3,9},{2,4,6,7,8,10},{5}}
{{1,2,6,9,10},{3,7,8},{4,5}}=>{{1,2,5},{3,7,9,10},{4,6,8}}
{{1,2,6,7,10},{3,4,9},{5},{8}}=>{{1,2,4,6,7,10},{3,9},{5},{8}}
{{1,2,3,8,10},{4,7},{5},{6,9}}=>{{1,2,3,9},{4,7},{5},{6,8,10}}
{{1,2,3,6,10},{4,9},{5},{7},{8}}=>{{1,2,3,9},{4,6,10},{5},{7},{8}}
{{1,2,3,4,10},{5},{6},{7},{8},{9}}=>{{1,2,3,4,10},{5},{6},{7},{8},{9}}
{{1,2,7,8},{3,4},{5,6,9,10}}=>{{1,2,4},{3,6,7,8},{5,9,10}}
{{1,2,3,9},{4},{5,6,7,10},{8}}=>{{1,2,3,6,10},{4},{5,7,9},{8}}
{{1,8,9,10},{2,3,4},{5,6,7}}=>{{1,3,6,8,9,10},{2,4},{5,7}}
{{1,5,8,10},{2,6,9},{3,7},{4}}=>{{1,7},{2,6,8,10},{3,5,9},{4}}
{{1,5,6,10},{2,3,9},{4},{7},{8}}=>{{1,3,5,6,10},{2,9},{4},{7},{8}}
{{1,2,7,10},{3,8},{4},{5,9},{6}}=>{{1,2,9},{3,8},{4},{5,7,10},{6}}
{{1,2,5,10},{3,9},{4},{6},{7},{8}}=>{{1,2,9},{3,5,10},{4},{6},{7},{8}}
{{1,2,3,10},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,10},{4},{5},{6},{7},{8},{9}}
{{1,2,6},{3},{4,5,9},{7,8,10}}=>{{1,2,5,6},{3},{4,8,9},{7,10}}
{{1,7,8},{2,3},{4,9,10},{5,6}}=>{{1,3},{2,6},{4,9,10},{5,7,8}}
{{1,5,9},{2,8},{3},{4,7,10},{6}}=>{{1,7,9},{2,10},{3},{4,5,8},{6}}
{{1,2,9},{3},{4,5,10},{6},{7},{8}}=>{{1,2,5,9},{3},{4,10},{6},{7},{8}}
{{1,8,10},{2,5},{3},{4,7},{6,9}}=>{{1,9},{2,5},{3},{4,7},{6,8,10}}
{{1,6,10},{2,8},{3},{4,9},{5},{7}}=>{{1,9},{2,8},{3},{4,6,10},{5},{7}}
{{1,4,10},{2,9},{3},{5},{6},{7},{8}}=>{{1,9},{2,4,10},{3},{5},{6},{7},{8}}
{{1,2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,10},{3},{4},{5},{6},{7},{8},{9}}
{{1,6},{2},{3,8},{4},{5,9},{7,10}}=>{{1,10},{2},{3,9},{4},{5,6},{7,8}}
{{1,8},{2},{3,9},{4},{5,10},{6},{7}}=>{{1,10},{2},{3,9},{4},{5,8},{6},{7}}
{{1,9},{2},{3,10},{4},{5},{6},{7},{8}}=>{{1,10},{2},{3,9},{4},{5},{6},{7},{8}}
{{1},{2},{3},{4},{5},{6},{7},{8,9,10}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9,10}}
{{1},{2},{3},{4},{5},{6},{7,8,9,10}}=>{{1},{2},{3},{4},{5},{6},{7,8,9,10}}
{{1},{2},{3},{4},{5},{6,7,8,9,10}}=>{{1},{2},{3},{4},{5},{6,7,8,9,10}}
{{1},{2},{3},{4},{5,6,7,8,9,10}}=>{{1},{2},{3},{4},{5,6,7,8,9,10}}
{{1},{2},{3},{4,5,6,7,8,9,10}}=>{{1},{2},{3},{4,5,6,7,8,9,10}}
{{1},{2},{3,4,5,6,7,8,9,10}}=>{{1},{2},{3,4,5,6,7,8,9,10}}
{{1,2,4,9},{3,6},{5,10},{7},{8}}=>{{1,2,10},{3,4,6},{5,9},{7},{8}}
{{1,2,4,8},{3,7},{5,10},{6},{9}}=>{{1,2,10},{3,4,7},{5,8},{6},{9}}
{{1,2,4,9},{3,7},{5,10},{6},{8}}=>{{1,2,10},{3,4,7},{5,9},{6},{8}}
{{1,2,4,9},{3,8},{5,10},{6},{7}}=>{{1,2,10},{3,4,8},{5,9},{6},{7}}
{{1,2,5,10},{3,6},{4,8},{7},{9}}=>{{1,2,8},{3,6},{4,5,10},{7},{9}}
{{1,2,5,10},{3,6},{4,9},{7},{8}}=>{{1,2,9},{3,6},{4,5,10},{7},{8}}
{{1,2,5,10},{3,7},{4,8},{6},{9}}=>{{1,2,8},{3,7},{4,5,10},{6},{9}}
{{1,2,5,10},{3,7},{4,9},{6},{8}}=>{{1,2,9},{3,7},{4,5,10},{6},{8}}
{{1,2,5,10},{3,8},{4,9},{6},{7}}=>{{1,2,9},{3,8},{4,5,10},{6},{7}}
{{1,2,6},{3,7},{4,8},{5,10},{9}}=>{{1,2,10},{3,8},{4,7},{5,6},{9}}
{{1,2,6},{3,7},{4,9},{5,10},{8}}=>{{1,2,10},{3,9},{4,7},{5,6},{8}}
{{1,2,6},{3,8},{4,9},{5,10},{7}}=>{{1,2,10},{3,9},{4,8},{5,6},{7}}
{{1,2,7},{3,8},{4,9},{5,10},{6}}=>{{1,2,10},{3,9},{4,8},{5,7},{6}}
{{1,3,6},{2,4,8},{5,10},{7},{9}}=>{{1,4,8},{2,3,10},{5,6},{7},{9}}
{{1,3,6},{2,4,9},{5,10},{7},{8}}=>{{1,4,9},{2,3,10},{5,6},{7},{8}}
{{1,3,7},{2,4,8},{5,10},{6},{9}}=>{{1,4,8},{2,3,10},{5,7},{6},{9}}
{{1,3,7},{2,4,9},{5,10},{6},{8}}=>{{1,4,9},{2,3,10},{5,7},{6},{8}}
{{1,3,8},{2,4,9},{5,10},{6},{7}}=>{{1,4,9},{2,3,10},{5,8},{6},{7}}
{{1,3,6},{2,5,10},{4,8},{7},{9}}=>{{1,8},{2,3,5,6},{4,10},{7},{9}}
{{1,3,6},{2,5,10},{4,9},{7},{8}}=>{{1,9},{2,3,5,6},{4,10},{7},{8}}
{{1,3,7},{2,5,10},{4,8},{6},{9}}=>{{1,8},{2,3,5,7},{4,10},{6},{9}}
{{1,3,7},{2,5,10},{4,9},{6},{8}}=>{{1,9},{2,3,5,7},{4,10},{6},{8}}
{{1,3,8},{2,5,10},{4,9},{6},{7}}=>{{1,9},{2,3,5,8},{4,10},{6},{7}}
{{1,3,7},{2,6},{4,8},{5,10},{9}}=>{{1,10},{2,3,8},{4,6},{5,7},{9}}
{{1,3,7},{2,6},{4,9},{5,10},{8}}=>{{1,10},{2,3,9},{4,6},{5,7},{8}}
{{1,3,8},{2,6},{4,9},{5,10},{7}}=>{{1,10},{2,3,9},{4,6},{5,8},{7}}
{{1,3,8},{2,7},{4,9},{5,10},{6}}=>{{1,10},{2,3,9},{4,7},{5,8},{6}}
{{1,4,8},{2,5,10},{3,6},{7},{9}}=>{{1,6},{2,5,8},{3,4,10},{7},{9}}
{{1,4,9},{2,5,10},{3,6},{7},{8}}=>{{1,6},{2,5,9},{3,4,10},{7},{8}}
{{1,4,8},{2,5,10},{3,7},{6},{9}}=>{{1,7},{2,5,8},{3,4,10},{6},{9}}
{{1,4,9},{2,5,10},{3,7},{6},{8}}=>{{1,7},{2,5,9},{3,4,10},{6},{8}}
{{1,4,9},{2,5,10},{3,8},{6},{7}}=>{{1,8},{2,5,9},{3,4,10},{6},{7}}
{{1,4,8},{2,6},{3,7},{5,10},{9}}=>{{1,10},{2,7},{3,4,6},{5,8},{9}}
{{1,4,9},{2,6},{3,7},{5,10},{8}}=>{{1,10},{2,7},{3,4,6},{5,9},{8}}
{{1,4,9},{2,6},{3,8},{5,10},{7}}=>{{1,10},{2,8},{3,4,6},{5,9},{7}}
{{1,4,9},{2,7},{3,8},{5,10},{6}}=>{{1,10},{2,8},{3,4,7},{5,9},{6}}
{{1,5,10},{2,6},{3,7},{4,8},{9}}=>{{1,8},{2,7},{3,6},{4,5,10},{9}}
{{1,5,10},{2,6},{3,7},{4,9},{8}}=>{{1,9},{2,7},{3,6},{4,5,10},{8}}
{{1,5,10},{2,6},{3,8},{4,9},{7}}=>{{1,9},{2,8},{3,6},{4,5,10},{7}}
{{1,5,10},{2,7},{3,8},{4,9},{6}}=>{{1,9},{2,8},{3,7},{4,5,10},{6}}
{{1,2,3,4,5,6,8,10},{7,9}}=>{{1,2,3,4,5,6,9},{7,8,10}}
{{1,2,3,4,6,8,10},{5,7,9}}=>{{1,2,3,4,7,8,10},{5,6,9}}
{{1,4},{2},{3,5},{6},{7},{8},{9},{10}}=>{{1,5},{2},{3,4},{6},{7},{8},{9},{10}}
{{1,4},{2,3},{5},{6},{7},{8},{9},{10}}=>{{1,3},{2,4},{5},{6},{7},{8},{9},{10}}
{{1,5},{2},{3,6},{4,7},{8},{9},{10}}=>{{1,7},{2},{3,6},{4,5},{8},{9},{10}}
{{1,5},{2,6},{3},{4},{7},{8},{9},{10}}=>{{1,6},{2,5},{3},{4},{7},{8},{9},{10}}
{{1,5},{2,3},{4,6},{7},{8},{9},{10}}=>{{1,3},{2,6},{4,5},{7},{8},{9},{10}}
{{1,5},{2,4},{3},{6},{7},{8},{9},{10}}=>{{1,4},{2,5},{3},{6},{7},{8},{9},{10}}
{{1,6},{2},{3,7},{4,8},{5,9},{10}}=>{{1,9},{2},{3,8},{4,7},{5,6},{10}}
{{1,6},{2,7},{3},{4},{5,8},{9},{10}}=>{{1,8},{2,7},{3},{4},{5,6},{9},{10}}
{{1,6},{2,3},{4,7},{5,8},{9},{10}}=>{{1,3},{2,8},{4,7},{5,6},{9},{10}}
{{1,6},{2,4},{3,7},{5},{8},{9},{10}}=>{{1,7},{2,4},{3,6},{5},{8},{9},{10}}
{{1,6},{2,4},{3},{5,7},{8},{9},{10}}=>{{1,4},{2,7},{3},{5,6},{8},{9},{10}}
{{1,6},{2,5},{3,4},{7},{8},{9},{10}}=>{{1,4},{2,5},{3,6},{7},{8},{9},{10}}
{{1,7},{2,8},{3},{4},{5,9},{6,10}}=>{{1,10},{2,9},{3},{4},{5,8},{6,7}}
{{1,7},{2,8},{3,9},{4},{5},{6},{10}}=>{{1,9},{2,8},{3,7},{4},{5},{6},{10}}
{{1,7},{2,4},{3},{5,8},{6,9},{10}}=>{{1,4},{2,9},{3},{5,8},{6,7},{10}}
{{1,7},{2,8},{3,5},{4,6},{9},{10}}=>{{1,6},{2,5},{3,8},{4,7},{9},{10}}
{{1,7},{2,5},{3},{4,8},{6},{9},{10}}=>{{1,8},{2,5},{3},{4,7},{6},{9},{10}}
{{1,7},{2,5},{3,4},{6,8},{9},{10}}=>{{1,4},{2,5},{3,8},{6,7},{9},{10}}
{{1,7},{2,6},{3,5},{4},{8},{9},{10}}=>{{1,5},{2,6},{3,7},{4},{8},{9},{10}}
{{1,8},{2,5},{3,9},{4,10},{6},{7}}=>{{1,10},{2,9},{3,5},{4,8},{6},{7}}
{{1,8},{2,5},{3},{4,9},{6},{7,10}}=>{{1,10},{2,5},{3},{4,9},{6},{7,8}}
{{1,8},{2,6},{3,9},{4},{5,7},{10}}=>{{1,7},{2,9},{3,6},{4},{5,8},{10}}
{{1,8},{2,6},{3,4},{5,9},{7},{10}}=>{{1,4},{2,9},{3,6},{5,8},{7},{10}}
{{1,8},{2,6},{3,5},{4},{7,9},{10}}=>{{1,5},{2,6},{3,9},{4},{7,8},{10}}
{{1,8},{2,7},{3,6},{4,5},{9},{10}}=>{{1,5},{2,6},{3,7},{4,8},{9},{10}}
{{1,9},{2,10},{3,7},{4,8},{5},{6}}=>{{1,8},{2,7},{3,10},{4,9},{5},{6}}
{{1,9},{2,7},{3,5},{4},{6,10},{8}}=>{{1,5},{2,10},{3,7},{4},{6,9},{8}}
{{1,3,5,7},{2,4,6,8,10},{9}}=>{{1,4,5,8,10},{2,3,6,7},{9}}
{{1,2,4,6,8,10},{3},{5},{7},{9}}=>{{1,2,4,6,8,10},{3},{5},{7},{9}}
{{1,2,4,6,9},{3,10},{5},{7},{8}}=>{{1,2,10},{3,4,6,9},{5},{7},{8}}
{{1,2,4,7,10},{3,8},{5},{6},{9}}=>{{1,2,8},{3,4,7,10},{5},{6},{9}}
{{1,2,4,7,9},{3},{5,10},{6},{8}}=>{{1,2,4,10},{3},{5,7,9},{6},{8}}
{{1,2,4,8},{3,9},{5,10},{6},{7}}=>{{1,2,10},{3,4,9},{5,8},{6},{7}}
{{1,2,5,8,10},{3,6},{4},{7},{9}}=>{{1,2,6},{3,5,8,10},{4},{7},{9}}
{{1,2,5,9},{3,6,10},{4},{7},{8}}=>{{1,2,6,9},{3,5,10},{4},{7},{8}}
{{1,2,5,7,10},{3},{4,8},{6},{9}}=>{{1,2,8},{3},{4,5,7,10},{6},{9}}
{{1,2,5,7,9},{3},{4},{6,10},{8}}=>{{1,2,5,10},{3},{4},{6,7,9},{8}}
{{1,2,5,8},{3,9},{4},{6,10},{7}}=>{{1,2,10},{3,5,9},{4},{6,8},{7}}
{{1,2,6,10},{3,7},{4,8},{5},{9}}=>{{1,2,8},{3,7},{4,6,10},{5},{9}}
{{1,2,6,9},{3,7},{4},{5,10},{8}}=>{{1,2,10},{3,7},{4},{5,6,9},{8}}
{{1,2,6,8},{3},{4,9},{5,10},{7}}=>{{1,2,10},{3},{4,9},{5,6,8},{7}}
{{1,3,6,8,10},{2,4},{5},{7},{9}}=>{{1,4},{2,3,6,8,10},{5},{7},{9}}
{{1,3,6,9},{2,4,10},{5},{7},{8}}=>{{1,4,6,9},{2,3,10},{5},{7},{8}}
{{1,3,7,10},{2,4,8},{5},{6},{9}}=>{{1,4,7,10},{2,3,8},{5},{6},{9}}
{{1,3,7,9},{2,4},{5,10},{6},{8}}=>{{1,4},{2,3,10},{5,7,9},{6},{8}}
{{1,3,5,8,10},{2},{4,6},{7},{9}}=>{{1,3,6},{2},{4,5,8,10},{7},{9}}
{{1,3,5,9},{2},{4,6,10},{7},{8}}=>{{1,3,6,9},{2},{4,5,10},{7},{8}}
{{1,3,5,7,10},{2},{4},{6,8},{9}}=>{{1,3,5,8},{2},{4},{6,7,10},{9}}
{{1,3,5,7,9},{2},{4},{6},{8,10}}=>{{1,3,5,7,10},{2},{4},{6},{8,9}}
{{1,3,5,8},{2,9},{4},{6},{7,10}}=>{{1,10},{2,3,5,9},{4},{6},{7,8}}
{{1,3,6,10},{2,7},{4},{5,8},{9}}=>{{1,8},{2,3,7},{4},{5,6,10},{9}}
{{1,3,6,9},{2,7},{4},{5},{8,10}}=>{{1,7},{2,3,6,10},{4},{5},{8,9}}
{{1,3,6,8},{2},{4,9},{5},{7,10}}=>{{1,3,10},{2},{4,6,9},{5},{7,8}}
{{1,3,7},{2,8},{4,9},{5},{6,10}}=>{{1,10},{2,3,9},{4,8},{5},{6,7}}
{{1,4,8,10},{2,5},{3,6},{7},{9}}=>{{1,6},{2,5},{3,4,8,10},{7},{9}}
{{1,4,7,10},{2,5},{3},{6,8},{9}}=>{{1,5},{2,4,8},{3},{6,7,10},{9}}
{{1,4,7,9},{2,5},{3},{6},{8,10}}=>{{1,5},{2,4,7,10},{3},{6},{8,9}}
{{1,4,8},{2,5,9},{3},{6},{7,10}}=>{{1,5,9},{2,4,10},{3},{6},{7,8}}
{{1,4,6,10},{2},{3,7},{5,8},{9}}=>{{1,8},{2},{3,4,7},{5,6,10},{9}}
{{1,4,6,9},{2},{3,7},{5},{8,10}}=>{{1,7},{2},{3,4,6,10},{5},{8,9}}
{{1,4,6,8},{2},{3},{5,9},{7,10}}=>{{1,4,10},{2},{3},{5,6,9},{7,8}}
{{1,4,7},{2,8},{3},{5,9},{6,10}}=>{{1,10},{2,4,9},{3},{5,8},{6,7}}
{{1,5,9},{2,6},{3,7},{4},{8,10}}=>{{1,7},{2,6},{3,5,10},{4},{8,9}}
{{1,5,8},{2,6},{3},{4,9},{7,10}}=>{{1,10},{2,6},{3},{4,5,9},{7,8}}
{{1,5,7},{2},{3,8},{4,9},{6,10}}=>{{1,10},{2},{3,9},{4,5,8},{6,7}}
{{1,3,5,9},{2,10},{4,6},{7},{8}}=>{{1,6},{2,3,10},{4,5,9},{7},{8}}
{{1,3,4,5,6,7,8},{2},{9,10}}=>{{1,3,4,5,6,7,8},{2},{9,10}}
{{1,9},{2,10},{3},{4},{5},{6},{7},{8}}=>{{1,10},{2,9},{3},{4},{5},{6},{7},{8}}
{{1,8},{2,9},{3,10},{4},{5},{6},{7}}=>{{1,10},{2,9},{3,8},{4},{5},{6},{7}}
{{1,8,10},{2,9},{3},{4},{5},{6},{7}}=>{{1,9},{2,8,10},{3},{4},{5},{6},{7}}
{{1,7},{2,8},{3,9},{4,10},{5},{6}}=>{{1,10},{2,9},{3,8},{4,7},{5},{6}}
{{1,7,9},{2,8,10},{3},{4},{5},{6}}=>{{1,8,9},{2,7,10},{3},{4},{5},{6}}
{{1,7,9,10},{2,8},{3},{4},{5},{6}}=>{{1,8},{2,7,9,10},{3},{4},{5},{6}}
{{1,6,10},{2,7},{3,8},{4,9},{5}}=>{{1,9},{2,8},{3,7},{4,6,10},{5}}
{{1,6,9},{2,7,10},{3,8},{4},{5}}=>{{1,8},{2,7,9},{3,6,10},{4},{5}}
{{1,6,9,10},{2,7},{3,8},{4},{5}}=>{{1,8},{2,7},{3,6,9,10},{4},{5}}
{{1,6,8,10},{2,7,9},{3},{4},{5}}=>{{1,7,8,10},{2,6,9},{3},{4},{5}}
{{1,6,8,9,10},{2,7},{3},{4},{5}}=>{{1,7},{2,6,8,9,10},{3},{4},{5}}
{{1,5,9},{2,6,10},{3,7},{4,8}}=>{{1,8},{2,7},{3,6,9},{4,5,10}}
{{1,5,9,10},{2,6},{3,7},{4,8}}=>{{1,8},{2,7},{3,6},{4,5,9,10}}
{{1,5,8},{2,6,9},{3,7,10},{4}}=>{{1,7,8},{2,6,9},{3,5,10},{4}}
{{1,5,8,9,10},{2,6},{3,7},{4}}=>{{1,7},{2,6},{3,5,8,9,10},{4}}
{{1,5,7,9},{2,6,8,10},{3},{4}}=>{{1,6,7,10},{2,5,8,9},{3},{4}}
{{1,5,7,9,10},{2,6,8},{3},{4}}=>{{1,6,7,9,10},{2,5,8},{3},{4}}
{{1,5,7,8,9,10},{2,6},{3},{4}}=>{{1,6},{2,5,7,8,9,10},{3},{4}}
{{1,4,7,10},{2,5,8},{3,6,9}}=>{{1,6,7,10},{2,5,8},{3,4,9}}
{{1,4,7,9},{2,5,8,10},{3,6}}=>{{1,6},{2,5,7,10},{3,4,8,9}}
{{1,4,7,9,10},{2,5,8},{3,6}}=>{{1,6},{2,5,7,9,10},{3,4,8}}
{{1,4,7,8,9,10},{2,5},{3,6}}=>{{1,6},{2,5},{3,4,7,8,9,10}}
{{1,4,6,8,10},{2,5,7,9},{3}}=>{{1,5,6,9},{2,4,7,8,10},{3}}
{{1,4,6,8,9,10},{2,5,7},{3}}=>{{1,5,6,8,9,10},{2,4,7},{3}}
{{1,4,6,7,8,9,10},{2,5},{3}}=>{{1,5},{2,4,6,7,8,9,10},{3}}
{{1,3,5,7,9,10},{2,4,6,8}}=>{{1,4,5,8},{2,3,6,7,9,10}}
{{1,3,5,7,8,9,10},{2,4,6}}=>{{1,4,5,7,8,9,10},{2,3,6}}
{{1,3,5,6,7,8,9,10},{2,4}}=>{{1,4},{2,3,5,6,7,8,9,10}}
{{1},{2,4,6,8,10},{3},{5},{7},{9}}=>{{1},{2,4,6,8,10},{3},{5},{7},{9}}
{{1},{2,4,6,10},{3},{5},{7,9},{8}}=>{{1},{2,4,6,9},{3},{5},{7,10},{8}}
{{1},{2,4,8,10},{3},{5,7},{6},{9}}=>{{1},{2,4,7},{3},{5,8,10},{6},{9}}
{{1},{2,4,10},{3},{5,7,9},{6},{8}}=>{{1},{2,4,7,10},{3},{5,9},{6},{8}}
{{1},{2,4,10},{3},{5,9},{6,8},{7}}=>{{1},{2,4,8},{3},{5,9},{6,10},{7}}
{{1},{2,6,8,10},{3,5},{4},{7},{9}}=>{{1},{2,5},{3,6,8,10},{4},{7},{9}}
{{1},{2,6,10},{3,5},{4},{7,9},{8}}=>{{1},{2,5},{3,6,9},{4},{7,10},{8}}
{{1},{2,8,10},{3,5,7},{4},{6},{9}}=>{{1},{2,5,8,10},{3,7},{4},{6},{9}}
{{1},{2,8,10},{3,7},{4,6},{5},{9}}=>{{1},{2,6},{3,7},{4,8,10},{5},{9}}
{{1},{2,10},{3,5,7,9},{4},{6},{8}}=>{{1},{2,5,9},{3,7,10},{4},{6},{8}}
{{1},{2,10},{3,5,9},{4},{6,8},{7}}=>{{1},{2,5,9},{3,8},{4},{6,10},{7}}
{{1},{2,10},{3,7,9},{4,6},{5},{8}}=>{{1},{2,6},{3,7,10},{4,9},{5},{8}}
{{1},{2,10},{3,9},{4,6,8},{5},{7}}=>{{1},{2,6,10},{3,8},{4,9},{5},{7}}
{{1,3},{2},{4,6,8,10},{5},{7},{9}}=>{{1,3},{2},{4,6,8,10},{5},{7},{9}}
{{1,3},{2},{4,6,10},{5},{7,9},{8}}=>{{1,3},{2},{4,6,9},{5},{7,10},{8}}
{{1,3},{2},{4,8,10},{5,7},{6},{9}}=>{{1,3},{2},{4,7},{5,8,10},{6},{9}}
{{1,3},{2},{4,10},{5,7,9},{6},{8}}=>{{1,3},{2},{4,7,10},{5,9},{6},{8}}
{{1,3},{2},{4,10},{5,9},{6,8},{7}}=>{{1,3},{2},{4,8},{5,9},{6,10},{7}}
{{1,3,5},{2},{4},{6,8,10},{7},{9}}=>{{1,3,5},{2},{4},{6,8,10},{7},{9}}
{{1,3,5},{2},{4},{6,10},{7,9},{8}}=>{{1,3,5},{2},{4},{6,9},{7,10},{8}}
{{1,5},{2,4},{3},{6,8,10},{7},{9}}=>{{1,4},{2,5},{3},{6,8,10},{7},{9}}
{{1,5},{2,4},{3},{6,10},{7,9},{8}}=>{{1,4},{2,5},{3},{6,9},{7,10},{8}}
{{1,3,5,7},{2},{4},{6},{8,10},{9}}=>{{1,3,5,7},{2},{4},{6},{8,10},{9}}
{{1,3,7},{2},{4,6},{5},{8,10},{9}}=>{{1,3,6},{2},{4,7},{5},{8,10},{9}}
{{1,5,7},{2,4},{3},{6},{8,10},{9}}=>{{1,4},{2,5,7},{3},{6},{8,10},{9}}
{{1,7},{2,4,6},{3},{5},{8,10},{9}}=>{{1,4,7},{2,6},{3},{5},{8,10},{9}}
{{1,7},{2,6},{3,5},{4},{8,10},{9}}=>{{1,5},{2,6},{3,7},{4},{8,10},{9}}
{{1,3,5,7,9},{2},{4},{6},{8},{10}}=>{{1,3,5,7,9},{2},{4},{6},{8},{10}}
{{1,3,5,9},{2},{4},{6,8},{7},{10}}=>{{1,3,5,8},{2},{4},{6,9},{7},{10}}
{{1,3,7,9},{2},{4,6},{5},{8},{10}}=>{{1,3,6},{2},{4,7,9},{5},{8},{10}}
{{1,3,9},{2},{4,6,8},{5},{7},{10}}=>{{1,3,6,9},{2},{4,8},{5},{7},{10}}
{{1,3,9},{2},{4,8},{5,7},{6},{10}}=>{{1,3,7},{2},{4,8},{5,9},{6},{10}}
{{1,5,7,9},{2,4},{3},{6},{8},{10}}=>{{1,4},{2,5,7,9},{3},{6},{8},{10}}
{{1,5,9},{2,4},{3},{6,8},{7},{10}}=>{{1,4},{2,5,8},{3},{6,9},{7},{10}}
{{1,7,9},{2,4,6},{3},{5},{8},{10}}=>{{1,4,7,9},{2,6},{3},{5},{8},{10}}
{{1,7,9},{2,6},{3,5},{4},{8},{10}}=>{{1,5},{2,6},{3,7,9},{4},{8},{10}}
{{1,9},{2,4,6,8},{3},{5},{7},{10}}=>{{1,4,8},{2,6,9},{3},{5},{7},{10}}
{{1,9},{2,4,8},{3},{5,7},{6},{10}}=>{{1,4,8},{2,7},{3},{5,9},{6},{10}}
{{1,9},{2,6,8},{3,5},{4},{7},{10}}=>{{1,5},{2,6,9},{3,8},{4},{7},{10}}
{{1,9},{2,8},{3,5,7},{4},{6},{10}}=>{{1,5,9},{2,7},{3,8},{4},{6},{10}}
{{1,4,7,10},{2,3,5,6,8,9}}=>{{1,3,4,6,7,9},{2,5,8,10}}
{{1,2,5,6,9,10},{3,4,7,8}}=>{{1,2,4,5,6,8},{3,7,9,10}}
{{1,3,5,6,8,10},{2,4,7,9}}=>{{1,4,5,6,9},{2,3,7,8,10}}
{{1,4,5,6,7,10},{2,3,8,9}}=>{{1,3,4,5,6,7,9},{2,8,10}}
{{1,3,7,9},{2,4,8,10},{5},{6}}=>{{1,4,7,10},{2,3,8,9},{5},{6}}
{{1,2,3,4,7,8,9,10},{5},{6}}=>{{1,2,3,4,7,8,9,10},{5},{6}}
{{1,4,7,10},{2,3,8,9},{5},{6}}=>{{1,3,4,7,9},{2,8,10},{5},{6}}
{{1,4,7,10},{2,3,8,9},{5,6}}=>{{1,3,4,8,10},{2,6},{5,7,9}}
{{1,3,8,10},{2,4,5,6,7,9}}=>{{1,4,6,9},{2,3,5,7,8,10}}
{{1,3,4,5,6,7,8,10},{2,9}}=>{{1,9},{2,3,4,5,6,7,8,10}}
{{1,3,8,10},{2,9},{4,5,6,7}}=>{{1,5,9},{2,3,6,8,10},{4,7}}
{{1,2,3,8,9,10},{4,6},{5,7}}=>{{1,2,3,7},{4,6},{5,8,9,10}}
{{1,3,8,10},{2,9},{4,6},{5,7}}=>{{1,7},{2,3,6},{4,9},{5,8,10}}
{{1,3,8,10},{2,9},{4,7},{5,6}}=>{{1,6},{2,3,7},{4,9},{5,8,10}}
{{1,2,9,10},{3,7},{4,8},{5},{6}}=>{{1,2,8},{3,7},{4,9,10},{5},{6}}
{{1,2,9,10},{3,4,7,8},{5},{6}}=>{{1,2,4,8},{3,7,9,10},{5},{6}}
{{1,2,9,10},{3,4,7,8},{5,6}}=>{{1,2,4,7,9,10},{3,6},{5,8}}
{{1,2,9,10},{3,8},{4,7},{5,6}}=>{{1,2,6},{3,7},{4,8},{5,9,10}}
{{1},{2,3},{4,5},{6,7},{8,9},{10}}=>{{1},{2,3},{4,5},{6,7},{8,9},{10}}
{{1},{2,3},{4,5,6,7,8,9,10}}=>{{1},{2,3},{4,5,6,7,8,9,10}}
{{1},{2,3,4},{5,6,7,8,9,10}}=>{{1},{2,3,4},{5,6,7,8,9,10}}
{{1},{2},{3,4},{5,6,7,8,9,10}}=>{{1},{2},{3,4},{5,6,7,8,9,10}}
{{1},{2,3,4,5},{6,7,8,9,10}}=>{{1},{2,3,4,5},{6,7,8,9,10}}
{{1,2},{3,4,5},{6,7,8,9,10}}=>{{1,2},{3,4,5},{6,7,8,9,10}}
{{1},{2},{3,4,5},{6,7,8,9,10}}=>{{1},{2},{3,4,5},{6,7,8,9,10}}
{{1},{2,3},{4,5},{6,7,8,9,10}}=>{{1},{2,3},{4,5},{6,7,8,9,10}}
{{1},{2},{3},{4,5},{6,7,8,9,10}}=>{{1},{2},{3},{4,5},{6,7,8,9,10}}
{{1},{2},{3,4,5,6},{7,8,9,10}}=>{{1},{2},{3,4,5,6},{7,8,9,10}}
{{1,2,3},{4,5,6},{7,8,9,10}}=>{{1,2,3},{4,5,6},{7,8,9,10}}
{{1},{2,3},{4,5,6},{7,8,9,10}}=>{{1},{2,3},{4,5,6},{7,8,9,10}}
{{1},{2},{3},{4,5,6},{7,8,9,10}}=>{{1},{2},{3},{4,5,6},{7,8,9,10}}
{{1},{2},{3,4},{5,6},{7,8,9,10}}=>{{1},{2},{3,4},{5,6},{7,8,9,10}}
{{1},{2},{3},{4},{5,6},{7,8,9,10}}=>{{1},{2},{3},{4},{5,6},{7,8,9,10}}
{{1},{2,3,4},{5,6,7},{8,9,10}}=>{{1},{2,3,4},{5,6,7},{8,9,10}}
{{1,2},{3,4},{5,6,7},{8,9,10}}=>{{1,2},{3,4},{5,6,7},{8,9,10}}
{{1},{2},{3,4},{5,6,7},{8,9,10}}=>{{1},{2},{3,4},{5,6,7},{8,9,10}}
{{1},{2},{3},{4},{5,6,7},{8,9,10}}=>{{1},{2},{3},{4},{5,6,7},{8,9,10}}
{{1},{2,3},{4,5},{6,7},{8,9,10}}=>{{1},{2,3},{4,5},{6,7},{8,9,10}}
{{1},{2},{3},{4,5},{6,7},{8,9,10}}=>{{1},{2},{3},{4,5},{6,7},{8,9,10}}
{{1},{2},{3},{4},{5},{6,7},{8,9,10}}=>{{1},{2},{3},{4},{5},{6,7},{8,9,10}}
{{1,2,3,8,9,10},{4,7},{5,6}}=>{{1,2,3,6},{4,7},{5,8,9,10}}
{{1,2,3,4,7,8,9,10},{5,6}}=>{{1,2,3,4,6},{5,7,8,9,10}}
{{1,2,3,7,8,9,10},{4,6},{5}}=>{{1,2,3,6},{4,7,8,9,10},{5}}
{{1,2,8,9,10},{3,7},{4,6},{5}}=>{{1,2,6},{3,7},{4,8,9,10},{5}}
{{1,9,10},{2,8},{3,7},{4,6},{5}}=>{{1,6},{2,7},{3,8},{4,9,10},{5}}
{{1,2,3,4,5,6,7,8,9,10},{11}}=>{{1,2,3,4,5,6,7,8,9,10},{11}}
{{1},{2,3,4,5,6,7,8,9,10,11}}=>{{1},{2,3,4,5,6,7,8,9,10,11}}
{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}
{{1,10},{2,9},{3,8},{4,7},{5,6},{11}}=>{{1,6},{2,7},{3,8},{4,9},{5,10},{11}}
{{1},{2,11},{3,10},{4,9},{5,8},{6,7}}=>{{1},{2,7},{3,8},{4,9},{5,10},{6,11}}
{{1,3,4,5,6,7,8,9,10,11},{2}}=>{{1,3,4,5,6,7,8,9,10,11},{2}}
{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}
{{1,2,3,4,5,6,7,8,9,10,11}}=>{{1,2,3,4,5,6,7,8,9,10,11}}
{{1,2,3,4,5,6,7,9,11},{8,10}}=>{{1,2,3,4,5,6,7,10},{8,9,11}}
{{1,2,3,4,5,6,8,10},{7,9,11}}=>{{1,2,3,4,5,6,9,10},{7,8,11}}
{{1,2,3,4,5,7,9,11},{6,8,10}}=>{{1,2,3,4,5,8,9,11},{6,7,10}}
{{1,3,5,7,9,11},{2,4,6,8,10}}=>{{1,4,5,8,9,11},{2,3,6,7,10}}
{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}
{{1,3,5,7,9,11},{2,4,6,8,10,12}}=>{{1,4,5,8,9,12},{2,3,6,7,10,11}}
{{1,3,5,7,9,10},{2,4,6,8,11,12}}=>{{1,4,5,8,9,10},{2,3,6,7,11,12}}
{{1,3,5,7,8,11},{2,4,6,9,10,12}}=>{{1,4,5,9,12},{2,3,6,7,8,10,11}}
{{1,3,5,7,8,10},{2,4,6,9,11,12}}=>{{1,4,5,9,10},{2,3,6,7,8,11,12}}
{{1,3,5,7,8,9},{2,4,6,10,11,12}}=>{{1,4,5,10,11,12},{2,3,6,7,8,9}}
{{1,3,5,6,9,11},{2,4,7,8,10,12}}=>{{1,4,5,6,8,9,12},{2,3,7,10,11}}
{{1,3,5,6,9,10},{2,4,7,8,11,12}}=>{{1,4,5,6,8,9,10},{2,3,7,11,12}}
{{1,3,5,6,8,11},{2,4,7,9,10,12}}=>{{1,4,5,6,9,12},{2,3,7,8,10,11}}
{{1,3,5,6,8,10},{2,4,7,9,11,12}}=>{{1,4,5,6,9,10},{2,3,7,8,11,12}}
{{1,3,5,6,8,9},{2,4,7,10,11,12}}=>{{1,4,5,6,10,11,12},{2,3,7,8,9}}
{{1,3,5,6,7,11},{2,4,8,9,10,12}}=>{{1,4,5,6,7,9,12},{2,3,8,10,11}}
{{1,3,5,6,7,10},{2,4,8,9,11,12}}=>{{1,4,5,6,7,9,10},{2,3,8,11,12}}
{{1,3,5,6,7,9},{2,4,8,10,11,12}}=>{{1,4,5,6,7,10,11,12},{2,3,8,9}}
{{1,3,5,6,7,8},{2,4,9,10,11,12}}=>{{1,4,5,6,7,8},{2,3,9,10,11,12}}
{{1,3,4,7,9,11},{2,5,6,8,10,12}}=>{{1,5,8,9,12},{2,3,4,6,7,10,11}}
{{1,3,4,7,9,10},{2,5,6,8,11,12}}=>{{1,5,8,9,10},{2,3,4,6,7,11,12}}
{{1,3,4,7,8,11},{2,5,6,9,10,12}}=>{{1,5,9,12},{2,3,4,6,7,8,10,11}}
{{1,3,4,7,8,10},{2,5,6,9,11,12}}=>{{1,5,9,10},{2,3,4,6,7,8,11,12}}
{{1,3,4,7,8,9},{2,5,6,10,11,12}}=>{{1,5,10,11,12},{2,3,4,6,7,8,9}}
{{1,3,4,6,9,11},{2,5,7,8,10,12}}=>{{1,5,6,8,9,12},{2,3,4,7,10,11}}
{{1,3,4,6,9,10},{2,5,7,8,11,12}}=>{{1,5,6,8,9,10},{2,3,4,7,11,12}}
{{1,3,4,6,8,11},{2,5,7,9,10,12}}=>{{1,5,6,9,12},{2,3,4,7,8,10,11}}
{{1,3,4,6,8,10},{2,5,7,9,11,12}}=>{{1,5,6,9,10},{2,3,4,7,8,11,12}}
{{1,3,4,6,8,9},{2,5,7,10,11,12}}=>{{1,5,6,10,11,12},{2,3,4,7,8,9}}
{{1,3,4,6,7,11},{2,5,8,9,10,12}}=>{{1,5,6,7,9,12},{2,3,4,8,10,11}}
{{1,3,4,6,7,10},{2,5,8,9,11,12}}=>{{1,5,6,7,9,10},{2,3,4,8,11,12}}
{{1,3,4,6,7,9},{2,5,8,10,11,12}}=>{{1,5,6,7,10,11,12},{2,3,4,8,9}}
{{1,3,4,6,7,8},{2,5,9,10,11,12}}=>{{1,5,6,7,8},{2,3,4,9,10,11,12}}
{{1,3,4,5,9,11},{2,6,7,8,10,12}}=>{{1,6,8,9,12},{2,3,4,5,7,10,11}}
{{1,3,4,5,9,10},{2,6,7,8,11,12}}=>{{1,6,8,9,10},{2,3,4,5,7,11,12}}
{{1,3,4,5,8,11},{2,6,7,9,10,12}}=>{{1,6,9,12},{2,3,4,5,7,8,10,11}}
{{1,3,4,5,8,10},{2,6,7,9,11,12}}=>{{1,6,9,10},{2,3,4,5,7,8,11,12}}
{{1,3,4,5,8,9},{2,6,7,10,11,12}}=>{{1,6,10,11,12},{2,3,4,5,7,8,9}}
{{1,3,4,5,7,11},{2,6,8,9,10,12}}=>{{1,6,7,9,12},{2,3,4,5,8,10,11}}
{{1,3,4,5,7,10},{2,6,8,9,11,12}}=>{{1,6,7,9,10},{2,3,4,5,8,11,12}}
{{1,3,4,5,7,9},{2,6,8,10,11,12}}=>{{1,6,7,10,11,12},{2,3,4,5,8,9}}
{{1,3,4,5,7,8},{2,6,9,10,11,12}}=>{{1,6,7,8},{2,3,4,5,9,10,11,12}}
{{1,3,4,5,6,11},{2,7,8,9,10,12}}=>{{1,7,9,12},{2,3,4,5,6,8,10,11}}
{{1,3,4,5,6,10},{2,7,8,9,11,12}}=>{{1,7,9,10},{2,3,4,5,6,8,11,12}}
{{1,3,4,5,6,9},{2,7,8,10,11,12}}=>{{1,7,10,11,12},{2,3,4,5,6,8,9}}
{{1,3,4,5,6,8},{2,7,9,10,11,12}}=>{{1,7,8},{2,3,4,5,6,9,10,11,12}}
{{1,3,4,5,6,7},{2,8,9,10,11,12}}=>{{1,8,9,10,11,12},{2,3,4,5,6,7}}
{{1,2,5,7,9,11},{3,4,6,8,10,12}}=>{{1,2,4,5,8,9,12},{3,6,7,10,11}}
{{1,2,5,7,9,10},{3,4,6,8,11,12}}=>{{1,2,4,5,8,9,10},{3,6,7,11,12}}
{{1,2,5,7,8,11},{3,4,6,9,10,12}}=>{{1,2,4,5,9,12},{3,6,7,8,10,11}}
{{1,2,5,7,8,10},{3,4,6,9,11,12}}=>{{1,2,4,5,9,10},{3,6,7,8,11,12}}
{{1,2,5,7,8,9},{3,4,6,10,11,12}}=>{{1,2,4,5,10,11,12},{3,6,7,8,9}}
{{1,2,5,6,9,11},{3,4,7,8,10,12}}=>{{1,2,4,5,6,8,9,12},{3,7,10,11}}
{{1,2,5,6,9,10},{3,4,7,8,11,12}}=>{{1,2,4,5,6,8,9,10},{3,7,11,12}}
{{1,2,5,6,8,11},{3,4,7,9,10,12}}=>{{1,2,4,5,6,9,12},{3,7,8,10,11}}
{{1,2,5,6,8,10},{3,4,7,9,11,12}}=>{{1,2,4,5,6,9,10},{3,7,8,11,12}}
{{1,2,5,6,8,9},{3,4,7,10,11,12}}=>{{1,2,4,5,6,10,11,12},{3,7,8,9}}
{{1,2,5,6,7,11},{3,4,8,9,10,12}}=>{{1,2,4,5,6,7,9,12},{3,8,10,11}}
{{1,2,5,6,7,10},{3,4,8,9,11,12}}=>{{1,2,4,5,6,7,9,10},{3,8,11,12}}
{{1,2,5,6,7,9},{3,4,8,10,11,12}}=>{{1,2,4,5,6,7,10,11,12},{3,8,9}}
{{1,2,5,6,7,8},{3,4,9,10,11,12}}=>{{1,2,4,5,6,7,8},{3,9,10,11,12}}
{{1,2,4,7,9,11},{3,5,6,8,10,12}}=>{{1,2,5,8,9,12},{3,4,6,7,10,11}}
{{1,2,4,7,9,10},{3,5,6,8,11,12}}=>{{1,2,5,8,9,10},{3,4,6,7,11,12}}
{{1,2,4,7,8,11},{3,5,6,9,10,12}}=>{{1,2,5,9,12},{3,4,6,7,8,10,11}}
{{1,2,4,7,8,10},{3,5,6,9,11,12}}=>{{1,2,5,9,10},{3,4,6,7,8,11,12}}
{{1,2,4,7,8,9},{3,5,6,10,11,12}}=>{{1,2,5,10,11,12},{3,4,6,7,8,9}}
{{1,2,4,6,9,11},{3,5,7,8,10,12}}=>{{1,2,5,6,8,9,12},{3,4,7,10,11}}
{{1,2,4,6,9,10},{3,5,7,8,11,12}}=>{{1,2,5,6,8,9,10},{3,4,7,11,12}}
{{1,2,4,6,8,11},{3,5,7,9,10,12}}=>{{1,2,5,6,9,12},{3,4,7,8,10,11}}
{{1,2,4,6,8,10},{3,5,7,9,11,12}}=>{{1,2,5,6,9,10},{3,4,7,8,11,12}}
{{1,2,4,6,8,9},{3,5,7,10,11,12}}=>{{1,2,5,6,10,11,12},{3,4,7,8,9}}
{{1,2,4,6,7,11},{3,5,8,9,10,12}}=>{{1,2,5,6,7,9,12},{3,4,8,10,11}}
{{1,2,4,6,7,10},{3,5,8,9,11,12}}=>{{1,2,5,6,7,9,10},{3,4,8,11,12}}
{{1,2,4,6,7,9},{3,5,8,10,11,12}}=>{{1,2,5,6,7,10,11,12},{3,4,8,9}}
{{1,2,4,6,7,8},{3,5,9,10,11,12}}=>{{1,2,5,6,7,8},{3,4,9,10,11,12}}
{{1,2,4,5,9,11},{3,6,7,8,10,12}}=>{{1,2,6,8,9,12},{3,4,5,7,10,11}}
{{1,2,4,5,9,10},{3,6,7,8,11,12}}=>{{1,2,6,8,9,10},{3,4,5,7,11,12}}
{{1,2,4,5,8,11},{3,6,7,9,10,12}}=>{{1,2,6,9,12},{3,4,5,7,8,10,11}}
{{1,2,4,5,8,10},{3,6,7,9,11,12}}=>{{1,2,6,9,10},{3,4,5,7,8,11,12}}
{{1,2,4,5,8,9},{3,6,7,10,11,12}}=>{{1,2,6,10,11,12},{3,4,5,7,8,9}}
{{1,2,4,5,7,11},{3,6,8,9,10,12}}=>{{1,2,6,7,9,12},{3,4,5,8,10,11}}
{{1,2,4,5,7,10},{3,6,8,9,11,12}}=>{{1,2,6,7,9,10},{3,4,5,8,11,12}}
{{1,2,4,5,7,9},{3,6,8,10,11,12}}=>{{1,2,6,7,10,11,12},{3,4,5,8,9}}
{{1,2,4,5,7,8},{3,6,9,10,11,12}}=>{{1,2,6,7,8},{3,4,5,9,10,11,12}}
{{1,2,4,5,6,11},{3,7,8,9,10,12}}=>{{1,2,7,9,12},{3,4,5,6,8,10,11}}
{{1,2,4,5,6,10},{3,7,8,9,11,12}}=>{{1,2,7,9,10},{3,4,5,6,8,11,12}}
{{1,2,4,5,6,9},{3,7,8,10,11,12}}=>{{1,2,7,10,11,12},{3,4,5,6,8,9}}
{{1,2,4,5,6,8},{3,7,9,10,11,12}}=>{{1,2,7,8},{3,4,5,6,9,10,11,12}}
{{1,2,4,5,6,7},{3,8,9,10,11,12}}=>{{1,2,8,9,10,11,12},{3,4,5,6,7}}
{{1,2,3,7,9,11},{4,5,6,8,10,12}}=>{{1,2,3,5,8,9,12},{4,6,7,10,11}}
{{1,2,3,7,9,10},{4,5,6,8,11,12}}=>{{1,2,3,5,8,9,10},{4,6,7,11,12}}
{{1,2,3,7,8,11},{4,5,6,9,10,12}}=>{{1,2,3,5,9,12},{4,6,7,8,10,11}}
{{1,2,3,7,8,10},{4,5,6,9,11,12}}=>{{1,2,3,5,9,10},{4,6,7,8,11,12}}
{{1,2,3,7,8,9},{4,5,6,10,11,12}}=>{{1,2,3,5,10,11,12},{4,6,7,8,9}}
{{1,2,3,6,9,11},{4,5,7,8,10,12}}=>{{1,2,3,5,6,8,9,12},{4,7,10,11}}
{{1,2,3,6,9,10},{4,5,7,8,11,12}}=>{{1,2,3,5,6,8,9,10},{4,7,11,12}}
{{1,2,3,6,8,11},{4,5,7,9,10,12}}=>{{1,2,3,5,6,9,12},{4,7,8,10,11}}
{{1,2,3,6,8,10},{4,5,7,9,11,12}}=>{{1,2,3,5,6,9,10},{4,7,8,11,12}}
{{1,2,3,6,8,9},{4,5,7,10,11,12}}=>{{1,2,3,5,6,10,11,12},{4,7,8,9}}
{{1,2,3,6,7,11},{4,5,8,9,10,12}}=>{{1,2,3,5,6,7,9,12},{4,8,10,11}}
{{1,2,3,6,7,10},{4,5,8,9,11,12}}=>{{1,2,3,5,6,7,9,10},{4,8,11,12}}
{{1,2,3,6,7,9},{4,5,8,10,11,12}}=>{{1,2,3,5,6,7,10,11,12},{4,8,9}}
{{1,2,3,6,7,8},{4,5,9,10,11,12}}=>{{1,2,3,5,6,7,8},{4,9,10,11,12}}
{{1,2,3,5,9,11},{4,6,7,8,10,12}}=>{{1,2,3,6,8,9,12},{4,5,7,10,11}}
{{1,2,3,5,9,10},{4,6,7,8,11,12}}=>{{1,2,3,6,8,9,10},{4,5,7,11,12}}
{{1,2,3,5,8,11},{4,6,7,9,10,12}}=>{{1,2,3,6,9,12},{4,5,7,8,10,11}}
{{1,2,3,5,8,10},{4,6,7,9,11,12}}=>{{1,2,3,6,9,10},{4,5,7,8,11,12}}
{{1,2,3,5,8,9},{4,6,7,10,11,12}}=>{{1,2,3,6,10,11,12},{4,5,7,8,9}}
{{1,2,3,5,7,11},{4,6,8,9,10,12}}=>{{1,2,3,6,7,9,12},{4,5,8,10,11}}
{{1,2,3,5,7,10},{4,6,8,9,11,12}}=>{{1,2,3,6,7,9,10},{4,5,8,11,12}}
{{1,2,3,5,7,9},{4,6,8,10,11,12}}=>{{1,2,3,6,7,10,11,12},{4,5,8,9}}
{{1,2,3,5,7,8},{4,6,9,10,11,12}}=>{{1,2,3,6,7,8},{4,5,9,10,11,12}}
{{1,2,3,5,6,11},{4,7,8,9,10,12}}=>{{1,2,3,7,9,12},{4,5,6,8,10,11}}
{{1,2,3,5,6,10},{4,7,8,9,11,12}}=>{{1,2,3,7,9,10},{4,5,6,8,11,12}}
{{1,2,3,5,6,9},{4,7,8,10,11,12}}=>{{1,2,3,7,10,11,12},{4,5,6,8,9}}
{{1,2,3,5,6,8},{4,7,9,10,11,12}}=>{{1,2,3,7,8},{4,5,6,9,10,11,12}}
{{1,2,3,5,6,7},{4,8,9,10,11,12}}=>{{1,2,3,8,9,10,11,12},{4,5,6,7}}
{{1,2,3,4,9,11},{5,6,7,8,10,12}}=>{{1,2,3,4,6,8,9,12},{5,7,10,11}}
{{1,2,3,4,9,10},{5,6,7,8,11,12}}=>{{1,2,3,4,6,8,9,10},{5,7,11,12}}
{{1,2,3,4,8,11},{5,6,7,9,10,12}}=>{{1,2,3,4,6,9,12},{5,7,8,10,11}}
{{1,2,3,4,8,10},{5,6,7,9,11,12}}=>{{1,2,3,4,6,9,10},{5,7,8,11,12}}
{{1,2,3,4,8,9},{5,6,7,10,11,12}}=>{{1,2,3,4,6,10,11,12},{5,7,8,9}}
{{1,2,3,4,7,11},{5,6,8,9,10,12}}=>{{1,2,3,4,6,7,9,12},{5,8,10,11}}
{{1,2,3,4,7,10},{5,6,8,9,11,12}}=>{{1,2,3,4,6,7,9,10},{5,8,11,12}}
{{1,2,3,4,7,9},{5,6,8,10,11,12}}=>{{1,2,3,4,6,7,10,11,12},{5,8,9}}
{{1,2,3,4,7,8},{5,6,9,10,11,12}}=>{{1,2,3,4,6,7,8},{5,9,10,11,12}}
{{1,2,3,4,6,11},{5,7,8,9,10,12}}=>{{1,2,3,4,7,9,12},{5,6,8,10,11}}
{{1,2,3,4,6,10},{5,7,8,9,11,12}}=>{{1,2,3,4,7,9,10},{5,6,8,11,12}}
{{1,2,3,4,6,9},{5,7,8,10,11,12}}=>{{1,2,3,4,7,10,11,12},{5,6,8,9}}
{{1,2,3,4,6,8},{5,7,9,10,11,12}}=>{{1,2,3,4,7,8},{5,6,9,10,11,12}}
{{1,2,3,4,6,7},{5,8,9,10,11,12}}=>{{1,2,3,4,8,9,10,11,12},{5,6,7}}
{{1,2,3,4,5,11},{6,7,8,9,10,12}}=>{{1,2,3,4,5,7,9,12},{6,8,10,11}}
{{1,2,3,4,5,10},{6,7,8,9,11,12}}=>{{1,2,3,4,5,7,9,10},{6,8,11,12}}
{{1,2,3,4,5,9},{6,7,8,10,11,12}}=>{{1,2,3,4,5,7,10,11,12},{6,8,9}}
{{1,2,3,4,5,8},{6,7,9,10,11,12}}=>{{1,2,3,4,5,7,8},{6,9,10,11,12}}
{{1,2,3,4,5,7},{6,8,9,10,11,12}}=>{{1,2,3,4,5,8,9,10,11,12},{6,7}}
{{1,2,3,4,5,6},{7,8,9,10,11,12}}=>{{1,2,3,4,5,6},{7,8,9,10,11,12}}
{{1,2},{3,4},{5,6},{7,8},{9,10,11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10,11,12}}
{{1,2},{3,4},{5,6},{7,8,9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8,9,10},{11,12}}
{{1,2},{3,4},{5,6},{7,8,9,10,11,12}}=>{{1,2},{3,4},{5,6},{7,8,9,10,11,12}}
{{1,2},{3,4},{5,6},{7,9,10,12},{8,11}}=>{{1,2},{3,4},{5,6},{7,11},{8,9,10,12}}
{{1,2},{3,4},{5,6,7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6,7,8},{9,10},{11,12}}
{{1,2},{3,4},{5,6,7,8},{9,10,11,12}}=>{{1,2},{3,4},{5,6,7,8},{9,10,11,12}}
{{1,2},{3,4},{5,6,7,8,9,10},{11,12}}=>{{1,2},{3,4},{5,6,7,8,9,10},{11,12}}
{{1,2},{3,4},{5,6,7,8,9,10,11,12}}=>{{1,2},{3,4},{5,6,7,8,9,10,11,12}}
{{1,2},{3,4},{5,6,7,9,10,12},{8,11}}=>{{1,2},{3,4},{5,6,7,11},{8,9,10,12}}
{{1,2},{3,4},{5,7,8,10},{6,9},{11,12}}=>{{1,2},{3,4},{5,9},{6,7,8,10},{11,12}}
{{1,2},{3,4},{5,7,8,10,11,12},{6,9}}=>{{1,2},{3,4},{5,9},{6,7,8,10,11,12}}
{{1,2},{3,4},{5,8,9,12},{6,7,10,11}}=>{{1,2},{3,4},{5,7,8,9,11},{6,10,12}}
{{1,2},{3,4,5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4,5,6},{7,8},{9,10},{11,12}}
{{1,2},{3,4,5,6},{7,8},{9,10,11,12}}=>{{1,2},{3,4,5,6},{7,8},{9,10,11,12}}
{{1,2},{3,4,5,6},{7,8,9,10},{11,12}}=>{{1,2},{3,4,5,6},{7,8,9,10},{11,12}}
{{1,2},{3,4,5,6},{7,8,9,10,11,12}}=>{{1,2},{3,4,5,6},{7,8,9,10,11,12}}
{{1,2},{3,4,5,6},{7,9,10,12},{8,11}}=>{{1,2},{3,4,5,6},{7,11},{8,9,10,12}}
{{1,2},{3,4,5,6,7,8},{9,10},{11,12}}=>{{1,2},{3,4,5,6,7,8},{9,10},{11,12}}
{{1,2},{3,4,5,6,7,8},{9,10,11,12}}=>{{1,2},{3,4,5,6,7,8},{9,10,11,12}}
{{1,2},{3,4,5,6,7,8,9,10},{11,12}}=>{{1,2},{3,4,5,6,7,8,9,10},{11,12}}
{{1,2},{3,4,5,6,7,8,9,10,11,12}}=>{{1,2},{3,4,5,6,7,8,9,10,11,12}}
{{1,2},{3,4,5,6,7,9,10,12},{8,11}}=>{{1,2},{3,4,5,6,7,11},{8,9,10,12}}
{{1,2},{3,4,5,7,8,10},{6,9},{11,12}}=>{{1,2},{3,4,5,9},{6,7,8,10},{11,12}}
{{1,2},{3,4,5,7,8,10,11,12},{6,9}}=>{{1,2},{3,4,5,9},{6,7,8,10,11,12}}
{{1,2},{3,4,5,8,9,12},{6,7,10,11}}=>{{1,2},{3,4,5,7,8,9,11},{6,10,12}}
{{1,2},{3,5,6,8},{4,7},{9,10},{11,12}}=>{{1,2},{3,7},{4,5,6,8},{9,10},{11,12}}
{{1,2},{3,5,6,8},{4,7},{9,10,11,12}}=>{{1,2},{3,7},{4,5,6,8},{9,10,11,12}}
{{1,2},{3,5,6,8,9,10},{4,7},{11,12}}=>{{1,2},{3,7},{4,5,6,8,9,10},{11,12}}
{{1,2},{3,5,6,8,9,10,11,12},{4,7}}=>{{1,2},{3,7},{4,5,6,8,9,10,11,12}}
{{1,2},{3,5,6,9,10,12},{4,7},{8,11}}=>{{1,2},{3,7},{4,5,6,11},{8,9,10,12}}
{{1,2},{3,5,6,9,10,12},{4,7,8,11}}=>{{1,2},{3,7,11},{4,5,6,8,9,10,12}}
{{1,2},{3,6,7,10},{4,5,8,9},{11,12}}=>{{1,2},{3,5,6,7,9},{4,8,10},{11,12}}
{{1,2},{3,6,7,10,11,12},{4,5,8,9}}=>{{1,2},{3,5,6,7,9},{4,8,10,11,12}}
{{1,2},{3,4,6,7,8,9,11,12},{5,10}}=>{{1,2},{3,4,10},{5,6,7,8,9,11,12}}
{{1,2},{3,7,8,12},{4,6,9,11},{5,10}}=>{{1,2},{3,10},{4,6,7,8,11},{5,9,12}}
{{1,2,3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2,3,4},{5,6},{7,8},{9,10},{11,12}}
{{1,2,3,4},{5,6},{7,8},{9,10,11,12}}=>{{1,2,3,4},{5,6},{7,8},{9,10,11,12}}
{{1,2,3,4},{5,6},{7,8,9,10},{11,12}}=>{{1,2,3,4},{5,6},{7,8,9,10},{11,12}}
{{1,2,3,4},{5,6},{7,8,9,10,11,12}}=>{{1,2,3,4},{5,6},{7,8,9,10,11,12}}
{{1,2,3,4},{5,6},{7,9,10,12},{8,11}}=>{{1,2,3,4},{5,6},{7,11},{8,9,10,12}}
{{1,2,3,4},{5,6,7,8},{9,10},{11,12}}=>{{1,2,3,4},{5,6,7,8},{9,10},{11,12}}
{{1,2,3,4},{5,6,7,8},{9,10,11,12}}=>{{1,2,3,4},{5,6,7,8},{9,10,11,12}}
{{1,2,3,4},{5,6,7,8,9,10},{11,12}}=>{{1,2,3,4},{5,6,7,8,9,10},{11,12}}
{{1,2,3,4},{5,6,7,8,9,10,11,12}}=>{{1,2,3,4},{5,6,7,8,9,10,11,12}}
{{1,2,3,4},{5,6,7,9,10,12},{8,11}}=>{{1,2,3,4},{5,6,7,11},{8,9,10,12}}
{{1,2,3,4},{5,7,8,10},{6,9},{11,12}}=>{{1,2,3,4},{5,9},{6,7,8,10},{11,12}}
{{1,2,3,4},{5,7,8,10,11,12},{6,9}}=>{{1,2,3,4},{5,9},{6,7,8,10,11,12}}
{{1,2,3,4},{5,8,9,12},{6,7,10,11}}=>{{1,2,3,4},{5,7,8,9,11},{6,10,12}}
{{1,2,3,4,5,6},{7,8},{9,10},{11,12}}=>{{1,2,3,4,5,6},{7,8},{9,10},{11,12}}
{{1,2,3,4,5,6},{7,8},{9,10,11,12}}=>{{1,2,3,4,5,6},{7,8},{9,10,11,12}}
{{1,2,3,4,5,6},{7,8,9,10},{11,12}}=>{{1,2,3,4,5,6},{7,8,9,10},{11,12}}
{{1,2,3,4,5,6},{7,9,10,12},{8,11}}=>{{1,2,3,4,5,6},{7,11},{8,9,10,12}}
{{1,2,3,4,5,6,7,8},{9,10},{11,12}}=>{{1,2,3,4,5,6,7,8},{9,10},{11,12}}
{{1,2,3,4,5,6,7,8},{9,10,11,12}}=>{{1,2,3,4,5,6,7,8},{9,10,11,12}}
{{1,2,3,4,5,6,7,8,9,10},{11,12}}=>{{1,2,3,4,5,6,7,8,9,10},{11,12}}
{{1,2,3,4,5,6,7,8,9,10,11,12}}=>{{1,2,3,4,5,6,7,8,9,10,11,12}}
{{1,2,3,4,5,6,7,9,10,12},{8,11}}=>{{1,2,3,4,5,6,7,11},{8,9,10,12}}
{{1,2,3,4,5,7,8,10},{6,9},{11,12}}=>{{1,2,3,4,5,9},{6,7,8,10},{11,12}}
{{1,2,3,4,5,7,8,10,11,12},{6,9}}=>{{1,2,3,4,5,9},{6,7,8,10,11,12}}
{{1,2,3,4,5,8,9,12},{6,7,10,11}}=>{{1,2,3,4,5,7,8,9,11},{6,10,12}}
{{1,2,3,5,6,8},{4,7},{9,10},{11,12}}=>{{1,2,3,7},{4,5,6,8},{9,10},{11,12}}
{{1,2,3,5,6,8},{4,7},{9,10,11,12}}=>{{1,2,3,7},{4,5,6,8},{9,10,11,12}}
{{1,2,3,5,6,8,9,10},{4,7},{11,12}}=>{{1,2,3,7},{4,5,6,8,9,10},{11,12}}
{{1,2,3,5,6,8,9,10,11,12},{4,7}}=>{{1,2,3,7},{4,5,6,8,9,10,11,12}}
{{1,2,3,5,6,9,10,12},{4,7},{8,11}}=>{{1,2,3,7},{4,5,6,11},{8,9,10,12}}
{{1,2,3,5,6,9,10,12},{4,7,8,11}}=>{{1,2,3,7,11},{4,5,6,8,9,10,12}}
{{1,2,3,6,7,10},{4,5,8,9},{11,12}}=>{{1,2,3,5,6,7,9},{4,8,10},{11,12}}
{{1,2,3,6,7,10,11,12},{4,5,8,9}}=>{{1,2,3,5,6,7,9},{4,8,10,11,12}}
{{1,2,3,4,6,7,8,9,11,12},{5,10}}=>{{1,2,3,4,10},{5,6,7,8,9,11,12}}
{{1,2,3,7,8,12},{4,6,9,11},{5,10}}=>{{1,2,3,10},{4,6,7,8,11},{5,9,12}}
{{1,3,4,6},{2,5},{7,8},{9,10},{11,12}}=>{{1,5},{2,3,4,6},{7,8},{9,10},{11,12}}
{{1,3,4,6},{2,5},{7,8},{9,10,11,12}}=>{{1,5},{2,3,4,6},{7,8},{9,10,11,12}}
{{1,3,4,6},{2,5},{7,8,9,10},{11,12}}=>{{1,5},{2,3,4,6},{7,8,9,10},{11,12}}
{{1,3,4,6},{2,5},{7,8,9,10,11,12}}=>{{1,5},{2,3,4,6},{7,8,9,10,11,12}}
{{1,3,4,6},{2,5},{7,9,10,12},{8,11}}=>{{1,5},{2,3,4,6},{7,11},{8,9,10,12}}
{{1,3,4,6,7,8},{2,5},{9,10},{11,12}}=>{{1,5},{2,3,4,6,7,8},{9,10},{11,12}}
{{1,3,4,6,7,8},{2,5},{9,10,11,12}}=>{{1,5},{2,3,4,6,7,8},{9,10,11,12}}
{{1,3,4,6,7,8,9,10},{2,5},{11,12}}=>{{1,5},{2,3,4,6,7,8,9,10},{11,12}}
{{1,3,4,6,7,8,9,10,11,12},{2,5}}=>{{1,5},{2,3,4,6,7,8,9,10,11,12}}
{{1,3,4,6,7,9,10,12},{2,5},{8,11}}=>{{1,5},{2,3,4,6,7,11},{8,9,10,12}}
{{1,3,4,7,8,10},{2,5},{6,9},{11,12}}=>{{1,5},{2,3,4,9},{6,7,8,10},{11,12}}
{{1,3,4,7,8,10,11,12},{2,5},{6,9}}=>{{1,5},{2,3,4,9},{6,7,8,10,11,12}}
{{1,3,4,8,9,12},{2,5},{6,7,10,11}}=>{{1,5},{2,3,4,7,8,9,11},{6,10,12}}
{{1,3,4,7,8,10},{2,5,6,9},{11,12}}=>{{1,5,9},{2,3,4,6,7,8,10},{11,12}}
{{1,3,4,7,8,10,11,12},{2,5,6,9}}=>{{1,5,9},{2,3,4,6,7,8,10,11,12}}
{{1,3,4,8,9,12},{2,5,6,7,10,11}}=>{{1,5,7,8,9,11},{2,3,4,6,10,12}}
{{1,3,4,5,8,9,10,12},{2,6,7,11}}=>{{1,6,11},{2,3,4,5,7,8,9,10,12}}
{{1,3,4,8,9,12},{2,6,7,11},{5,10}}=>{{1,10},{2,3,4,6,11},{5,7,8,9,12}}
{{1,4,5,8},{2,3,6,7},{9,10},{11,12}}=>{{1,3,4,5,7},{2,6,8},{9,10},{11,12}}
{{1,4,5,8},{2,3,6,7},{9,10,11,12}}=>{{1,3,4,5,7},{2,6,8},{9,10,11,12}}
{{1,4,5,8,9,10},{2,3,6,7},{11,12}}=>{{1,3,4,5,7},{2,6,8,9,10},{11,12}}
{{1,4,5,8,9,10,11,12},{2,3,6,7}}=>{{1,3,4,5,7},{2,6,8,9,10,11,12}}
{{1,4,5,9,10,12},{2,3,6,7},{8,11}}=>{{1,3,4,5,7},{2,6,11},{8,9,10,12}}
{{1,4,5,9,10,12},{2,3,6,7,8,11}}=>{{1,3,4,5,7,11},{2,6,8,9,10,12}}
{{1,2,4,5,6,7,9,10},{3,8},{11,12}}=>{{1,2,8},{3,4,5,6,7,9,10},{11,12}}
{{1,2,4,5,6,7,9,10,11,12},{3,8}}=>{{1,2,8},{3,4,5,6,7,9,10,11,12}}
{{1,4,5,9,10,12},{2,6,7,11},{3,8}}=>{{1,8},{2,6,11},{3,4,5,7,9,10,12}}
{{1,5,6,10},{2,4,7,9},{3,8},{11,12}}=>{{1,8},{2,4,5,6,9},{3,7,10},{11,12}}
{{1,5,6,10,11,12},{2,4,7,9},{3,8}}=>{{1,8},{2,4,5,6,9},{3,7,10,11,12}}
{{1,2,5,6,7,8,11,12},{3,4,9,10}}=>{{1,2,4,5,6,7,8,10},{3,9,11,12}}
{{1,6,7,12},{2,5,8,11},{3,4,9,10}}=>{{1,4,8,11},{2,9,12},{3,5,6,7,10}}
{{1,2,4,8},{3,6,12},{5,10},{7},{9},{11}}=>{{1,2,10},{3,4,6,8},{5,12},{7},{9},{11}}
{{1,2,4,8},{3,6},{5,11},{7,12},{9},{10}}=>{{1,2,12},{3,4,6},{5,11},{7,8},{9},{10}}
{{1,2,4,9},{3,6,10},{5,12},{7},{8},{11}}=>{{1,2,12},{3,4,6,9},{5,10},{7},{8},{11}}
{{1,2,4,9},{3,6},{5,11},{7},{8,12},{10}}=>{{1,2,12},{3,4,6},{5,11},{7},{8,9},{10}}
{{1,2,4,10},{3,6,11},{5},{7},{8,12},{9}}=>{{1,2,6,11},{3,4,12},{5},{7},{8,10},{9}}
{{1,2,4,10},{3,7},{5,8},{6,12},{9},{11}}=>{{1,2,12},{3,4,8},{5,7},{6,10},{9},{11}}
{{1,2,4,11},{3,7,12},{5,8},{6},{9},{10}}=>{{1,2,8},{3,4,7,11},{5,12},{6},{9},{10}}
{{1,2,4,9},{3,7,10},{5,12},{6},{8},{11}}=>{{1,2,12},{3,4,7,9},{5,10},{6},{8},{11}}
{{1,2,4,9,12},{3,7},{5,11},{6},{8},{10}}=>{{1,2,11},{3,4,7},{5,9,12},{6},{8},{10}}
{{1,2,4,10},{3,7},{5},{6,11},{8},{9,12}}=>{{1,2,12},{3,4,7},{5},{6,11},{8},{9,10}}
{{1,2,4,12},{3,8},{5,9},{6},{7,10},{11}}=>{{1,2,10},{3,4,9},{5,8},{6},{7,12},{11}}
{{1,2,4,11},{3,8},{5,9,12},{6},{7},{10}}=>{{1,2,9,11},{3,4,8},{5,12},{6},{7},{10}}
{{1,2,4,10},{3,8},{5},{6},{7,11},{9,12}}=>{{1,2,12},{3,4,8},{5},{6},{7,11},{9,10}}
{{1,2,4},{3,9,12},{5,10},{6},{7,11},{8}}=>{{1,2,11},{3,4},{5,10},{6},{7,9,12},{8}}
{{1,2,5,10},{3,8},{4,6,12},{7},{9},{11}}=>{{1,2,6,10},{3,12},{4,5,8},{7},{9},{11}}
{{1,2,5,11},{3,8},{4,6},{7,12},{9},{10}}=>{{1,2,6},{3,12},{4,5,8},{7,11},{9},{10}}
{{1,2,5,12},{3,9},{4,6,10},{7},{8},{11}}=>{{1,2,6,12},{3,10},{4,5,9},{7},{8},{11}}
{{1,2,5,11},{3,9},{4,6},{7},{8,12},{10}}=>{{1,2,6},{3,12},{4,5,9},{7},{8,11},{10}}
{{1,2,5},{3,10},{4,6,11},{7},{8,12},{9}}=>{{1,2,6,11},{3,12},{4,5},{7},{8,10},{9}}
{{1,2,5,12},{3,7},{4,10},{6,8},{9},{11}}=>{{1,2,8},{3,10},{4,5,7},{6,12},{9},{11}}
{{1,2,5},{3,7,12},{4,11},{6,8},{9},{10}}=>{{1,2,8},{3,11},{4,5},{6,7,12},{9},{10}}
{{1,2,5,12},{3,7},{4,9},{6},{8,10},{11}}=>{{1,2,10},{3,7},{4,5,9},{6},{8,12},{11}}
{{1,2,5,11},{3,7},{4,9},{6},{8},{10,12}}=>{{1,2,9},{3,7},{4,5,12},{6},{8},{10,11}}
{{1,2,5},{3,7},{4,10,12},{6,11},{8},{9}}=>{{1,2,11},{3,10,12},{4,5},{6,7},{8},{9}}
{{1,2,5,9},{3,8,10},{4,12},{6},{7},{11}}=>{{1,2,12},{3,8,9},{4,5,10},{6},{7},{11}}
{{1,2,5,9},{3,8},{4,11},{6},{7},{10,12}}=>{{1,2,12},{3,8},{4,5,9},{6},{7},{10,11}}
{{1,2,5},{3,8},{4,10,12},{6},{7,11},{9}}=>{{1,2,11},{3,10,12},{4,5},{6},{7,8},{9}}
{{1,2,5,10,12},{3,9},{4},{6},{7,11},{8}}=>{{1,2,11},{3,5,9},{4},{6},{7,10,12},{8}}
{{1,2,6,8},{3,10},{4,7},{5,12},{9},{11}}=>{{1,2,12},{3,7},{4,10},{5,6,8},{9},{11}}
{{1,2,6,8},{3,11},{4,7,12},{5},{9},{10}}=>{{1,2,7,8},{3,12},{4,6,11},{5},{9},{10}}
{{1,2,6},{3,9},{4,7},{5,12},{8,10},{11}}=>{{1,2,10},{3,7},{4,12},{5,6},{8,9},{11}}
{{1,2,6},{3,9},{4,7},{5,11},{8},{10,12}}=>{{1,2,12},{3,7},{4,9},{5,6},{8},{10,11}}
{{1,2,6,11},{3,10,12},{4,7},{5},{8},{9}}=>{{1,2,7},{3,10,11},{4,6,12},{5},{8},{9}}
{{1,2,6,9},{3,8,10},{4,12},{5},{7},{11}}=>{{1,2,12},{3,8,9},{4,6,10},{5},{7},{11}}
{{1,2,6,9},{3,8},{4,11},{5},{7},{10,12}}=>{{1,2,12},{3,8},{4,6,9},{5},{7},{10,11}}
{{1,2,6},{3,8,11},{4,10,12},{5},{7},{9}}=>{{1,2,10,11},{3,8,12},{4,6},{5},{7},{9}}
{{1,2,6},{3,9},{4},{5,10,12},{7},{8,11}}=>{{1,2,11},{3,10,12},{4},{5,6},{7},{8,9}}
{{1,2,7},{3,12},{4,8,10},{5},{6,9},{11}}=>{{1,2,9},{3,8,12},{4,10},{5},{6,7},{11}}
{{1,2,7},{3,11},{4,8},{5},{6,9},{10,12}}=>{{1,2,9},{3,8},{4,12},{5},{6,7},{10,11}}
{{1,2,7},{3,10,12},{4,8,11},{5},{6},{9}}=>{{1,2,8,10,12},{3,11},{4,7},{5},{6},{9}}
{{1,2,7},{3,9},{4},{5},{6,10,12},{8,11}}=>{{1,2,11},{3,10,12},{4},{5},{6,7},{8,9}}
{{1,2,8,11},{3},{4,9},{5},{6,10,12},{7}}=>{{1,2,10,11},{3},{4,9},{5},{6,8,12},{7}}
{{1,3,4,8},{2,6,12},{5,10},{7},{9},{11}}=>{{1,10},{2,3,4,6,8},{5,12},{7},{9},{11}}
{{1,3,4,8},{2,6},{5,11},{7,12},{9},{10}}=>{{1,12},{2,3,4,6},{5,11},{7,8},{9},{10}}
{{1,3,4,9},{2,6,10},{5,12},{7},{8},{11}}=>{{1,12},{2,3,4,6,9},{5,10},{7},{8},{11}}
{{1,3,4,9},{2,6},{5,11},{7},{8,12},{10}}=>{{1,12},{2,3,4,6},{5,11},{7},{8,9},{10}}
{{1,3,4,10},{2,6,11},{5},{7},{8,12},{9}}=>{{1,6,11},{2,3,4,12},{5},{7},{8,10},{9}}
{{1,3,4,10},{2,7},{5,8},{6,12},{9},{11}}=>{{1,12},{2,3,4,8},{5,7},{6,10},{9},{11}}
{{1,3,4,11},{2,7,12},{5,8},{6},{9},{10}}=>{{1,8},{2,3,4,7,11},{5,12},{6},{9},{10}}
{{1,3,4,9},{2,7,10},{5,12},{6},{8},{11}}=>{{1,12},{2,3,4,7,9},{5,10},{6},{8},{11}}
{{1,3,4,9,12},{2,7},{5,11},{6},{8},{10}}=>{{1,11},{2,3,4,7},{5,9,12},{6},{8},{10}}
{{1,3,4,10},{2,7},{5},{6,11},{8},{9,12}}=>{{1,12},{2,3,4,7},{5},{6,11},{8},{9,10}}
{{1,3,4,12},{2,8},{5,9},{6},{7,10},{11}}=>{{1,10},{2,3,4,9},{5,8},{6},{7,12},{11}}
{{1,3,4,11},{2,8},{5,9,12},{6},{7},{10}}=>{{1,9,11},{2,3,4,8},{5,12},{6},{7},{10}}
{{1,3,4,10},{2,8},{5},{6},{7,11},{9,12}}=>{{1,12},{2,3,4,8},{5},{6},{7,11},{9,10}}
{{1,3,4},{2,9,12},{5,10},{6},{7,11},{8}}=>{{1,11},{2,3,4},{5,10},{6},{7,9,12},{8}}
{{1,3,8},{2,5,6,12},{4,10},{7},{9},{11}}=>{{1,10},{2,3,5,12},{4,6,8},{7},{9},{11}}
{{1,3,8},{2,5,6},{4,11},{7,12},{9},{10}}=>{{1,12},{2,3,5,11},{4,6},{7,8},{9},{10}}
{{1,3,9},{2,5,6,10},{4,12},{7},{8},{11}}=>{{1,12},{2,3,5,10},{4,6,9},{7},{8},{11}}
{{1,3,9},{2,5,6},{4,11},{7},{8,12},{10}}=>{{1,12},{2,3,5,11},{4,6},{7},{8,9},{10}}
{{1,3,10},{2,5,6,11},{4},{7},{8,12},{9}}=>{{1,5,12},{2,3,6,11},{4},{7},{8,10},{9}}
{{1,3,7,8},{2,5,12},{4,10},{6},{9},{11}}=>{{1,10},{2,3,5,7,8},{4,12},{6},{9},{11}}
{{1,3,7,8},{2,5},{4,11},{6,12},{9},{10}}=>{{1,12},{2,3,5},{4,11},{6,7,8},{9},{10}}
{{1,3,7},{2,5,12},{4,9,10},{6},{8},{11}}=>{{1,9,12},{2,3,5,7},{4,10},{6},{8},{11}}
{{1,3,7},{2,5,11,12},{4,9},{6},{8},{10}}=>{{1,9},{2,3,5,7},{4,11,12},{6},{8},{10}}
{{1,3,7},{2,5},{4,10},{6,11,12},{8},{9}}=>{{1,11,12},{2,3,5},{4,10},{6,7},{8},{9}}
{{1,3,8},{2,5,9,10},{4,12},{6},{7},{11}}=>{{1,12},{2,3,5,8},{4,9,10},{6},{7},{11}}
{{1,3,8},{2,5,9},{4,11,12},{6},{7},{10}}=>{{1,11,12},{2,3,5,8},{4,9},{6},{7},{10}}
{{1,3,8},{2,5},{4,10},{6},{7,11,12},{9}}=>{{1,11,12},{2,3,5},{4,10},{6},{7,8},{9}}
{{1,3,9},{2,5,10},{4},{6},{7,11,12},{8}}=>{{1,5,10},{2,3,11,12},{4},{6},{7,9},{8}}
{{1,3,10},{2,6},{4,7,8},{5,12},{9},{11}}=>{{1,12},{2,3,7,10},{4,6},{5,8},{9},{11}}
{{1,3,11},{2,6,12},{4,7,8},{5},{9},{10}}=>{{1,7,11},{2,3,6,12},{4,8},{5},{9},{10}}
{{1,3,9,10},{2,6},{4,7},{5,12},{8},{11}}=>{{1,12},{2,3,7},{4,6},{5,9,10},{8},{11}}
{{1,3,9},{2,6},{4,7},{5,11,12},{8},{10}}=>{{1,11,12},{2,3,7},{4,6},{5,9},{8},{10}}
{{1,3,10},{2,6,11,12},{4,7},{5},{8},{9}}=>{{1,7},{2,3,6,10},{4,11,12},{5},{8},{9}}
{{1,3,8},{2,6,9,10},{4,12},{5},{7},{11}}=>{{1,12},{2,3,6,8},{4,9,10},{5},{7},{11}}
{{1,3,8},{2,6,9},{4,11,12},{5},{7},{10}}=>{{1,11,12},{2,3,6,8},{4,9},{5},{7},{10}}
{{1,3,8,11,12},{2,6},{4,10},{5},{7},{9}}=>{{1,10},{2,3,6},{4,8,11,12},{5},{7},{9}}
{{1,3,9},{2,6},{4},{5,10},{7},{8,11,12}}=>{{1,11,12},{2,3,6},{4},{5,10},{7},{8,9}}
{{1,3,12},{2,7},{4,8},{5},{6,9,10},{11}}=>{{1,9,12},{2,3,8},{4,7},{5},{6,10},{11}}
{{1,3,11,12},{2,7},{4,8},{5},{6,9},{10}}=>{{1,9},{2,3,8},{4,7},{5},{6,11,12},{10}}
{{1,3,10},{2,7},{4,8,11,12},{5},{6},{9}}=>{{1,8,10},{2,3,7},{4,11,12},{5},{6},{9}}
{{1,3,9},{2,7},{4},{5},{6,10},{8,11,12}}=>{{1,11,12},{2,3,7},{4},{5},{6,10},{8,9}}
{{1,3},{2,8,11,12},{4,9},{5},{6,10},{7}}=>{{1,10},{2,3},{4,9},{5},{6,8,11,12},{7}}
{{1,4,10},{2,8},{3,5,6,12},{7},{9},{11}}=>{{1,5,8},{2,6,10},{3,4,12},{7},{9},{11}}
{{1,4,11},{2,8},{3,5,6},{7,12},{9},{10}}=>{{1,5,8},{2,6},{3,4,12},{7,11},{9},{10}}
{{1,4,12},{2,9},{3,5,6,10},{7},{8},{11}}=>{{1,5,9},{2,6,12},{3,4,10},{7},{8},{11}}
{{1,4,11},{2,9},{3,5,6},{7},{8,12},{10}}=>{{1,5,9},{2,6},{3,4,12},{7},{8,11},{10}}
{{1,4},{2,10},{3,5,6,11},{7},{8,12},{9}}=>{{1,5,12},{2,6,11},{3,4},{7},{8,10},{9}}
{{1,4,10},{2,7,8},{3,5,12},{6},{9},{11}}=>{{1,5,8},{2,12},{3,4,7,10},{6},{9},{11}}
{{1,4,11},{2,7,8},{3,5},{6,12},{9},{10}}=>{{1,5},{2,12},{3,4,7,11},{6,8},{9},{10}}
{{1,4,9,10},{2,7},{3,5,12},{6},{8},{11}}=>{{1,5,9,10},{2,12},{3,4,7},{6},{8},{11}}
{{1,4,9},{2,7},{3,5,11,12},{6},{8},{10}}=>{{1,5,9},{2,11,12},{3,4,7},{6},{8},{10}}
{{1,4,10},{2,7},{3,5},{6,11,12},{8},{9}}=>{{1,5},{2,11,12},{3,4,7},{6,10},{8},{9}}
{{1,4,12},{2,8},{3,5,9,10},{6},{7},{11}}=>{{1,5,10},{2,9,12},{3,4,8},{6},{7},{11}}
{{1,4,11,12},{2,8},{3,5,9},{6},{7},{10}}=>{{1,5,11,12},{2,9},{3,4,8},{6},{7},{10}}
{{1,4,10},{2,8},{3,5},{6},{7,11,12},{9}}=>{{1,5},{2,11,12},{3,4,8},{6},{7,10},{9}}
{{1,4},{2,9},{3,5,10},{6},{7,11,12},{8}}=>{{1,5,10},{2,11,12},{3,4},{6},{7,9},{8}}
{{1,4,12},{2,6},{3,10},{5,7,8},{9},{11}}=>{{1,7,12},{2,8},{3,4,6},{5,10},{9},{11}}
{{1,4},{2,6,12},{3,11},{5,7,8},{9},{10}}=>{{1,7,12},{2,8},{3,4},{5,6,11},{9},{10}}
{{1,4,12},{2,6},{3,9,10},{5,7},{8},{11}}=>{{1,7},{2,9,12},{3,4,6},{5,10},{8},{11}}
{{1,4,11,12},{2,6},{3,9},{5,7},{8},{10}}=>{{1,7},{2,9},{3,4,6},{5,11,12},{8},{10}}
{{1,4},{2,6,11,12},{3,10},{5,7},{8},{9}}=>{{1,7},{2,10},{3,4},{5,6,11,12},{8},{9}}
{{1,4,12},{2,6},{3,8},{5},{7,9,10},{11}}=>{{1,9,12},{2,6},{3,4,8},{5},{7,10},{11}}
{{1,4,11,12},{2,6},{3,8},{5},{7,9},{10}}=>{{1,9},{2,6},{3,4,8},{5},{7,11,12},{10}}
{{1,4,10},{2,6},{3,8},{5},{7},{9,11,12}}=>{{1,8},{2,6},{3,4,11,12},{5},{7},{9,10}}
{{1,4},{2,6},{3,9,11,12},{5,10},{7},{8}}=>{{1,10},{2,9,11,12},{3,4},{5,6},{7},{8}}
{{1,4,8},{2,7,9,10},{3,12},{5},{6},{11}}=>{{1,12},{2,7,8},{3,4,9,10},{5},{6},{11}}
{{1,4,8},{2,7,9},{3,11,12},{5},{6},{10}}=>{{1,11,12},{2,7,8},{3,4,9},{5},{6},{10}}
{{1,4,8},{2,7},{3,10},{5},{6},{9,11,12}}=>{{1,11,12},{2,7},{3,4,8},{5},{6},{9,10}}
{{1,4},{2,7},{3,9,11,12},{5},{6,10},{8}}=>{{1,10},{2,9,11,12},{3,4},{5},{6,7},{8}}
{{1,4,9,11,12},{2,8},{3},{5},{6,10},{7}}=>{{1,10},{2,4,8},{3},{5},{6,9,11,12},{7}}
{{1,5,7,8},{2,10},{3,6},{4,12},{9},{11}}=>{{1,12},{2,6},{3,10},{4,5,7,8},{9},{11}}
{{1,5,7,8},{2,11},{3,6,12},{4},{9},{10}}=>{{1,6,7,8},{2,12},{3,5,11},{4},{9},{10}}
{{1,5,7},{2,9,10},{3,6},{4,12},{8},{11}}=>{{1,12},{2,6},{3,9,10},{4,5,7},{8},{11}}
{{1,5,7},{2,9},{3,6},{4,11,12},{8},{10}}=>{{1,11,12},{2,6},{3,9},{4,5,7},{8},{10}}
{{1,5,7},{2,10},{3,6,11,12},{4},{8},{9}}=>{{1,6,7},{2,11,12},{3,5,10},{4},{8},{9}}
{{1,5},{2,8},{3,6},{4,12},{7,9,10},{11}}=>{{1,9,12},{2,6},{3,10},{4,5},{7,8},{11}}
{{1,5},{2,8},{3,6},{4,11,12},{7,9},{10}}=>{{1,9},{2,6},{3,11,12},{4,5},{7,8},{10}}
{{1,5},{2,8},{3,6},{4,10},{7},{9,11,12}}=>{{1,11,12},{2,6},{3,8},{4,5},{7},{9,10}}
{{1,5,10},{2,9,11,12},{3,6},{4},{7},{8}}=>{{1,6},{2,9,10},{3,5,11,12},{4},{7},{8}}
{{1,5,8},{2,7,9,10},{3,12},{4},{6},{11}}=>{{1,12},{2,7,8},{3,5,9,10},{4},{6},{11}}
{{1,5,8},{2,7,9},{3,11,12},{4},{6},{10}}=>{{1,11,12},{2,7,8},{3,5,9},{4},{6},{10}}
{{1,5,8},{2,7},{3,10},{4},{6},{9,11,12}}=>{{1,11,12},{2,7},{3,5,8},{4},{6},{9,10}}
{{1,5},{2,7,10},{3,9,11,12},{4},{6},{8}}=>{{1,9,10},{2,7,11,12},{3,5},{4},{6},{8}}
{{1,5},{2,8},{3},{4,9,11,12},{6},{7,10}}=>{{1,10},{2,9,11,12},{3},{4,5},{6},{7,8}}
{{1,6},{2,12},{3,7,9,10},{4},{5,8},{11}}=>{{1,8},{2,7,10},{3,9,12},{4},{5,6},{11}}
{{1,6},{2,11,12},{3,7,9},{4},{5,8},{10}}=>{{1,8},{2,7,11,12},{3,9},{4},{5,6},{10}}
{{1,6},{2,10},{3,7},{4},{5,8},{9,11,12}}=>{{1,8},{2,7},{3,11,12},{4},{5,6},{9,10}}
{{1,6},{2,9,11,12},{3,7,10},{4},{5},{8}}=>{{1,7,9,11,12},{2,10},{3,6},{4},{5},{8}}
{{1,6},{2,8},{3},{4},{5,9,11,12},{7,10}}=>{{1,10},{2,9,11,12},{3},{4},{5,6},{7,8}}
{{1,7,10},{2},{3,8},{4},{5,9,11,12},{6}}=>{{1,9,10},{2},{3,8},{4},{5,7,11,12},{6}}
{{1,2,3,4,6,7,8,10,12},{5,9,11}}=>{{1,2,3,4,9,10,12},{5,6,7,8,11}}
{{1,2,4,5,7,9,10},{3,6,8,11,12}}=>{{1,2,6,7,11,12},{3,4,5,8,9,10}}
{{1,2,4,7,10},{3,5,6,8,9,11,12}}=>{{1,2,5,8,11,12},{3,4,6,7,9,10}}
{{1,2,3,4,7,8},{5,9,11},{6,10,12}}=>{{1,2,3,4,10,11},{5,9,12},{6,7,8}}
{{1,2,3,4,5,7,8,9,11},{6,10,12}}=>{{1,2,3,4,5,10,11},{6,7,8,9,12}}
{{1,2,4,5,7,9,11},{3,8},{6,10,12}}=>{{1,2,10,11},{3,4,5,8},{6,7,9,12}}
{{1,2,5,7,10},{3,4,6,8,9,11,12}}=>{{1,2,4,5,8,11,12},{3,6,7,9,10}}
{{1,2,5,7,10},{3,6,8,11,12},{4,9}}=>{{1,2,9},{3,6,7,11,12},{4,5,8,10}}
{{1,2,3,5,6,7,8,10,11,12},{4,9}}=>{{1,2,3,9},{4,5,6,7,8,10,11,12}}
{{1,2,3,5,7,8,11},{4,9},{6,10,12}}=>{{1,2,3,10,11},{4,5,9},{6,7,8,12}}
{{1,2,3,5,7,8,11},{4,6,9,10,12}}=>{{1,2,3,6,7,8,10,11},{4,5,9,12}}
{{1,2,5,6,7,10,11,12},{3,8},{4,9}}=>{{1,2,9},{3,8},{4,5,6,7,10,11,12}}
{{1,2,5,7,11},{3,8},{4,9},{6,10,12}}=>{{1,2,10,11},{3,9},{4,5,8},{6,7,12}}
{{1,2,5,7,11},{3,8},{4,6,9,10,12}}=>{{1,2,6,7,10,11},{3,9,12},{4,5,8}}
{{1,2,5,7,11},{3,4,6,8,9,10,12}}=>{{1,2,4,5,8,10,11},{3,6,7,9,12}}
{{1,2,3,6,7,8,11,12},{4,9},{5,10}}=>{{1,2,3,10},{4,9},{5,6,7,8,11,12}}
{{1,2,6,7,11,12},{3,8},{4,9},{5,10}}=>{{1,2,10},{3,9},{4,8},{5,6,7,11,12}}
{{1,2,7},{3,8},{4,9},{5,10},{6,11,12}}=>{{1,2,11,12},{3,10},{4,9},{5,8},{6,7}}
{{1,2,7},{3,8},{4,9},{5,6,10,11,12}}=>{{1,2,6,7},{3,10,11,12},{4,9},{5,8}}
{{1,2,7},{3,8},{4,5,6,9,10,11,12}}=>{{1,2,5,8},{3,6,7},{4,9,10,11,12}}
{{1,2,7},{3,4,5,6,8,9,10,11,12}}=>{{1,2,4,6,7},{3,5,8,9,10,11,12}}
{{1,3,5,6,7,9,10,11,12},{2,4,8}}=>{{1,4,5,6,7,9,10,11,12},{2,3,8}}
{{1,3,6,7,10,12},{2,4,8},{5,9,11}}=>{{1,4,8},{2,3,9,10,12},{5,6,7,11}}
{{1,3,6,7,10,12},{2,4,5,8,9,11}}=>{{1,4,8,11},{2,3,5,6,7,9,10,12}}
{{1,3,7},{2,4,8},{5,6,9,10,11,12}}=>{{1,4,9,10,11,12},{2,3,6,7},{5,8}}
{{1,3,7},{2,4,8},{5,9,11},{6,10,12}}=>{{1,4,9,12},{2,3,10,11},{5,8},{6,7}}
{{1,3,7},{2,4,5,6,8,9,10,11,12}}=>{{1,4,6,7},{2,3,5,8,9,10,11,12}}
{{1,3,7},{2,4,5,8,9,11},{6,10,12}}=>{{1,4,10,11},{2,3,5,8,9,12},{6,7}}
{{1,3,6,7,10,12},{2,5,8,11},{4,9}}=>{{1,9},{2,3,5,6,7,11},{4,8,10,12}}
{{1,3,4,6,7,9,10,12},{2,5,8,11}}=>{{1,5,6,7,11},{2,3,4,8,9,10,12}}
{{1,3,7},{2,5,6,8,10,11,12},{4,9}}=>{{1,9},{2,3,5,8,10,11,12},{4,6,7}}
{{1,3,7},{2,5,8,11},{4,9},{6,10,12}}=>{{1,10,11},{2,3,5,8,12},{4,9},{6,7}}
{{1,3,7},{2,5,8,11},{4,6,9,10,12}}=>{{1,6,7},{2,3,5,8,10,11},{4,9,12}}
{{1,3,7},{2,4,6,8,9,11,12},{5,10}}=>{{1,4,6,7},{2,3,10},{5,8,9,11,12}}
{{1,3,7},{2,6,8,11,12},{4,9},{5,10}}=>{{1,10},{2,3,9},{4,6,7},{5,8,11,12}}
{{1,3,4,5,7,9,10,11},{2,6,8,12}}=>{{1,6,7,12},{2,3,4,5,8,9,10,11}}
{{1,2,3,7,8},{4,9},{5,10},{6,11,12}}=>{{1,2,3,11,12},{4,10},{5,9},{6,7,8}}
{{1,2,3,7,8},{4,9},{5,6,10,11,12}}=>{{1,2,3,6,7,8},{4,10,11,12},{5,9}}
{{1,2,3,7,8},{4,5,6,9,10,11,12}}=>{{1,2,3,5,9,10,11,12},{4,6,7,8}}
{{1,3,4,5,6,7,9,10,11,12},{2,8}}=>{{1,8},{2,3,4,5,6,7,9,10,11,12}}
{{1,2,4,5,7,8,10},{3,6,9,11,12}}=>{{1,2,6,7,8,11,12},{3,4,5,9,10}}
{{1,4,7,10},{2,5,8,11},{3,6,9,12}}=>{{1,6,7,12},{2,5,8,11},{3,4,9,10}}
{{1,3,4,7,9},{2,5,6,8,10,11,12}}=>{{1,5,8,9},{2,3,4,6,7,10,11,12}}
{{1,3,4,7,9},{2,5,8,11},{6,10,12}}=>{{1,5,8,9},{2,3,4,10,11},{6,7,12}}
{{1,2,4,5,6,7,8,10,11,12},{3,9}}=>{{1,2,9},{3,4,5,6,7,8,10,11,12}}
{{1,3,4,7,9},{2,6,8,11,12},{5,10}}=>{{1,10},{2,3,4,6,7,11,12},{5,8,9}}
{{1,4,5,7,10,11},{2,3,6,8,9,12}}=>{{1,3,4,5,8,12},{2,6,7,9,10,11}}
{{1,4,5,7,10,11},{2,6,8,12},{3,9}}=>{{1,9},{2,6,7,12},{3,4,5,8,10,11}}
{{1,2,3,4,7,8,9},{5,10},{6,11,12}}=>{{1,2,3,4,11,12},{5,10},{6,7,8,9}}
{{1,2,3,4,7,8,9},{5,6,10,11,12}}=>{{1,2,3,4,6,7,8,9},{5,10,11,12}}
{{1,4,5,6,7,10,11,12},{2,8},{3,9}}=>{{1,9},{2,8},{3,4,5,6,7,10,11,12}}
{{1,3,4,5,7,9,10},{2,6,8,11,12}}=>{{1,6,7,11,12},{2,3,4,5,8,9,10}}
{{1,2,3,5,6,7,8,9,11,12},{4,10}}=>{{1,2,3,10},{4,5,6,7,8,9,11,12}}
{{1,5,7,11},{2,3,4,6,8,9,10,12}}=>{{1,3,6,7,9,12},{2,4,5,8,10,11}}
{{1,5,7,11},{2,3,6,8,9,12},{4,10}}=>{{1,3,6,7,9,11},{2,10},{4,5,8,12}}
{{1,5,7,11},{2,6,8,12},{3,9},{4,10}}=>{{1,10},{2,9},{3,6,7,12},{4,5,8,11}}
{{1,2,3,4,5,7,8,9,10},{6,11,12}}=>{{1,2,3,4,5,11,12},{6,7,8,9,10}}
{{1,2,5,6,7,8,11,12},{3,9},{4,10}}=>{{1,2,10},{3,9},{4,5,6,7,8,11,12}}
{{1,5,6,7,11,12},{2,8},{3,9},{4,10}}=>{{1,10},{2,9},{3,8},{4,5,6,7,11,12}}
{{1,2,3,4,6,7,8,9,10,12},{5,11}}=>{{1,2,3,4,11},{5,6,7,8,9,10,12}}
{{1,2,3,6,7,8,9,12},{4,10},{5,11}}=>{{1,2,3,11},{4,10},{5,6,7,8,9,12}}
{{1,2,6,7,8,12},{3,9},{4,10},{5,11}}=>{{1,2,11},{3,10},{4,9},{5,6,7,8,12}}
{{1,6,7,12},{2,8},{3,9},{4,10},{5,11}}=>{{1,11},{2,10},{3,9},{4,8},{5,6,7,12}}
{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>{{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}
{{1,2,4,8},{3,6,12},{5,11},{7},{9},{10}}=>{{1,2,11},{3,4,6,8},{5,12},{7},{9},{10}}
{{1,2,4,9},{3,6,12},{5,10},{7},{8},{11}}=>{{1,2,10},{3,4,6,9},{5,12},{7},{8},{11}}
{{1,2,4,9},{3,6,12},{5,11},{7},{8},{10}}=>{{1,2,11},{3,4,6,9},{5,12},{7},{8},{10}}
{{1,2,4,10},{3,6,12},{5,11},{7},{8},{9}}=>{{1,2,11},{3,4,6,10},{5,12},{7},{8},{9}}
{{1,2,4,8},{3,7},{5,10},{6,12},{9},{11}}=>{{1,2,12},{3,4,10},{5,7},{6,8},{9},{11}}
{{1,2,4,8},{3,7},{5,11},{6,12},{9},{10}}=>{{1,2,12},{3,4,11},{5,7},{6,8},{9},{10}}
{{1,2,4,9},{3,7},{5,10},{6,12},{8},{11}}=>{{1,2,12},{3,4,10},{5,7},{6,9},{8},{11}}
{{1,2,4,9},{3,7},{5,11},{6,12},{8},{10}}=>{{1,2,12},{3,4,11},{5,7},{6,9},{8},{10}}
{{1,2,4,10},{3,7},{5,11},{6,12},{8},{9}}=>{{1,2,12},{3,4,11},{5,7},{6,10},{8},{9}}
{{1,2,4,9},{3,8},{5,10},{6,12},{7},{11}}=>{{1,2,12},{3,4,10},{5,8},{6,9},{7},{11}}
{{1,2,4,9},{3,8},{5,11},{6,12},{7},{10}}=>{{1,2,12},{3,4,11},{5,8},{6,9},{7},{10}}
{{1,2,4,10},{3,8},{5,11},{6,12},{7},{9}}=>{{1,2,12},{3,4,11},{5,8},{6,10},{7},{9}}
{{1,2,4,10},{3,9},{5,11},{6,12},{7},{8}}=>{{1,2,12},{3,4,11},{5,9},{6,10},{7},{8}}
{{1,2,5,10},{3,6,12},{4,8},{7},{9},{11}}=>{{1,2,8},{3,6,10},{4,5,12},{7},{9},{11}}
{{1,2,5,11},{3,6,12},{4,8},{7},{9},{10}}=>{{1,2,8},{3,6,11},{4,5,12},{7},{9},{10}}
{{1,2,5,10},{3,6,12},{4,9},{7},{8},{11}}=>{{1,2,9},{3,6,10},{4,5,12},{7},{8},{11}}
{{1,2,5,11},{3,6,12},{4,9},{7},{8},{10}}=>{{1,2,9},{3,6,11},{4,5,12},{7},{8},{10}}
{{1,2,5,11},{3,6,12},{4,10},{7},{8},{9}}=>{{1,2,10},{3,6,11},{4,5,12},{7},{8},{9}}
{{1,2,5,10},{3,7},{4,8},{6,12},{9},{11}}=>{{1,2,12},{3,8},{4,5,7},{6,10},{9},{11}}
{{1,2,5,11},{3,7},{4,8},{6,12},{9},{10}}=>{{1,2,12},{3,8},{4,5,7},{6,11},{9},{10}}
{{1,2,5,10},{3,7},{4,9},{6,12},{8},{11}}=>{{1,2,12},{3,9},{4,5,7},{6,10},{8},{11}}
{{1,2,5,11},{3,7},{4,9},{6,12},{8},{10}}=>{{1,2,12},{3,9},{4,5,7},{6,11},{8},{10}}
{{1,2,5,11},{3,7},{4,10},{6,12},{8},{9}}=>{{1,2,12},{3,10},{4,5,7},{6,11},{8},{9}}
{{1,2,5,10},{3,8},{4,9},{6,12},{7},{11}}=>{{1,2,12},{3,9},{4,5,8},{6,10},{7},{11}}
{{1,2,5,11},{3,8},{4,9},{6,12},{7},{10}}=>{{1,2,12},{3,9},{4,5,8},{6,11},{7},{10}}
{{1,2,5,11},{3,8},{4,10},{6,12},{7},{9}}=>{{1,2,12},{3,10},{4,5,8},{6,11},{7},{9}}
{{1,2,5,11},{3,9},{4,10},{6,12},{7},{8}}=>{{1,2,12},{3,10},{4,5,9},{6,11},{7},{8}}
{{1,2,6,12},{3,7},{4,8},{5,10},{9},{11}}=>{{1,2,10},{3,8},{4,7},{5,6,12},{9},{11}}
{{1,2,6,12},{3,7},{4,8},{5,11},{9},{10}}=>{{1,2,11},{3,8},{4,7},{5,6,12},{9},{10}}
{{1,2,6,12},{3,7},{4,9},{5,10},{8},{11}}=>{{1,2,10},{3,9},{4,7},{5,6,12},{8},{11}}
{{1,2,6,12},{3,7},{4,9},{5,11},{8},{10}}=>{{1,2,11},{3,9},{4,7},{5,6,12},{8},{10}}
{{1,2,6,12},{3,7},{4,10},{5,11},{8},{9}}=>{{1,2,11},{3,10},{4,7},{5,6,12},{8},{9}}
{{1,2,6,12},{3,8},{4,9},{5,10},{7},{11}}=>{{1,2,10},{3,9},{4,8},{5,6,12},{7},{11}}
{{1,2,6,12},{3,8},{4,9},{5,11},{7},{10}}=>{{1,2,11},{3,9},{4,8},{5,6,12},{7},{10}}
{{1,2,6,12},{3,8},{4,10},{5,11},{7},{9}}=>{{1,2,11},{3,10},{4,8},{5,6,12},{7},{9}}
{{1,2,6,12},{3,9},{4,10},{5,11},{7},{8}}=>{{1,2,11},{3,10},{4,9},{5,6,12},{7},{8}}
{{1,2,7},{3,8},{4,9},{5,10},{6,12},{11}}=>{{1,2,12},{3,10},{4,9},{5,8},{6,7},{11}}
{{1,2,7},{3,8},{4,9},{5,11},{6,12},{10}}=>{{1,2,12},{3,11},{4,9},{5,8},{6,7},{10}}
{{1,2,7},{3,8},{4,10},{5,11},{6,12},{9}}=>{{1,2,12},{3,11},{4,10},{5,8},{6,7},{9}}
{{1,2,7},{3,9},{4,10},{5,11},{6,12},{8}}=>{{1,2,12},{3,11},{4,10},{5,9},{6,7},{8}}
{{1,2,8},{3,9},{4,10},{5,11},{6,12},{7}}=>{{1,2,12},{3,11},{4,10},{5,9},{6,8},{7}}
{{1,3,6,12},{2,4,8},{5,10},{7},{9},{11}}=>{{1,4,8},{2,3,10},{5,6,12},{7},{9},{11}}
{{1,3,6,12},{2,4,8},{5,11},{7},{9},{10}}=>{{1,4,8},{2,3,11},{5,6,12},{7},{9},{10}}
{{1,3,6,12},{2,4,9},{5,10},{7},{8},{11}}=>{{1,4,9},{2,3,10},{5,6,12},{7},{8},{11}}
{{1,3,6,12},{2,4,9},{5,11},{7},{8},{10}}=>{{1,4,9},{2,3,11},{5,6,12},{7},{8},{10}}
{{1,3,6,12},{2,4,10},{5,11},{7},{8},{9}}=>{{1,4,10},{2,3,11},{5,6,12},{7},{8},{9}}
{{1,3,7},{2,4,8},{5,10},{6,12},{9},{11}}=>{{1,4,10},{2,3,12},{5,8},{6,7},{9},{11}}
{{1,3,7},{2,4,8},{5,11},{6,12},{9},{10}}=>{{1,4,11},{2,3,12},{5,8},{6,7},{9},{10}}
{{1,3,7},{2,4,9},{5,10},{6,12},{8},{11}}=>{{1,4,10},{2,3,12},{5,9},{6,7},{8},{11}}
{{1,3,7},{2,4,9},{5,11},{6,12},{8},{10}}=>{{1,4,11},{2,3,12},{5,9},{6,7},{8},{10}}
{{1,3,7},{2,4,10},{5,11},{6,12},{8},{9}}=>{{1,4,11},{2,3,12},{5,10},{6,7},{8},{9}}
{{1,3,8},{2,4,9},{5,10},{6,12},{7},{11}}=>{{1,4,10},{2,3,12},{5,9},{6,8},{7},{11}}
{{1,3,8},{2,4,9},{5,11},{6,12},{7},{10}}=>{{1,4,11},{2,3,12},{5,9},{6,8},{7},{10}}
{{1,3,8},{2,4,10},{5,11},{6,12},{7},{9}}=>{{1,4,11},{2,3,12},{5,10},{6,8},{7},{9}}
{{1,3,9},{2,4,10},{5,11},{6,12},{7},{8}}=>{{1,4,11},{2,3,12},{5,10},{6,9},{7},{8}}
{{1,3,6,12},{2,5,10},{4,8},{7},{9},{11}}=>{{1,8},{2,3,5,6,12},{4,10},{7},{9},{11}}
{{1,3,6,12},{2,5,11},{4,8},{7},{9},{10}}=>{{1,8},{2,3,5,6,12},{4,11},{7},{9},{10}}
{{1,3,6,12},{2,5,10},{4,9},{7},{8},{11}}=>{{1,9},{2,3,5,6,12},{4,10},{7},{8},{11}}
{{1,3,6,12},{2,5,11},{4,9},{7},{8},{10}}=>{{1,9},{2,3,5,6,12},{4,11},{7},{8},{10}}
{{1,3,6,12},{2,5,11},{4,10},{7},{8},{9}}=>{{1,10},{2,3,5,6,12},{4,11},{7},{8},{9}}
{{1,3,7},{2,5,10},{4,8},{6,12},{9},{11}}=>{{1,12},{2,3,5,10},{4,8},{6,7},{9},{11}}
{{1,3,7},{2,5,11},{4,8},{6,12},{9},{10}}=>{{1,12},{2,3,5,11},{4,8},{6,7},{9},{10}}
{{1,3,7},{2,5,10},{4,9},{6,12},{8},{11}}=>{{1,12},{2,3,5,10},{4,9},{6,7},{8},{11}}
{{1,3,7},{2,5,11},{4,9},{6,12},{8},{10}}=>{{1,12},{2,3,5,11},{4,9},{6,7},{8},{10}}
{{1,3,7},{2,5,11},{4,10},{6,12},{8},{9}}=>{{1,12},{2,3,5,11},{4,10},{6,7},{8},{9}}
{{1,3,8},{2,5,10},{4,9},{6,12},{7},{11}}=>{{1,12},{2,3,5,10},{4,9},{6,8},{7},{11}}
{{1,3,8},{2,5,11},{4,9},{6,12},{7},{10}}=>{{1,12},{2,3,5,11},{4,9},{6,8},{7},{10}}
{{1,3,8},{2,5,11},{4,10},{6,12},{7},{9}}=>{{1,12},{2,3,5,11},{4,10},{6,8},{7},{9}}
{{1,3,9},{2,5,11},{4,10},{6,12},{7},{8}}=>{{1,12},{2,3,5,11},{4,10},{6,9},{7},{8}}
{{1,3,7},{2,6,12},{4,8},{5,10},{9},{11}}=>{{1,10},{2,3,8},{4,6,7},{5,12},{9},{11}}
{{1,3,7},{2,6,12},{4,8},{5,11},{9},{10}}=>{{1,11},{2,3,8},{4,6,7},{5,12},{9},{10}}
{{1,3,7},{2,6,12},{4,9},{5,10},{8},{11}}=>{{1,10},{2,3,9},{4,6,7},{5,12},{8},{11}}
{{1,3,7},{2,6,12},{4,9},{5,11},{8},{10}}=>{{1,11},{2,3,9},{4,6,7},{5,12},{8},{10}}
{{1,3,7},{2,6,12},{4,10},{5,11},{8},{9}}=>{{1,11},{2,3,10},{4,6,7},{5,12},{8},{9}}
{{1,3,8},{2,6,12},{4,9},{5,10},{7},{11}}=>{{1,10},{2,3,9},{4,6,8},{5,12},{7},{11}}
{{1,3,8},{2,6,12},{4,9},{5,11},{7},{10}}=>{{1,11},{2,3,9},{4,6,8},{5,12},{7},{10}}
{{1,3,8},{2,6,12},{4,10},{5,11},{7},{9}}=>{{1,11},{2,3,10},{4,6,8},{5,12},{7},{9}}
{{1,3,9},{2,6,12},{4,10},{5,11},{7},{8}}=>{{1,11},{2,3,10},{4,6,9},{5,12},{7},{8}}
{{1,3,8},{2,7},{4,9},{5,10},{6,12},{11}}=>{{1,12},{2,3,10},{4,9},{5,7},{6,8},{11}}
{{1,3,8},{2,7},{4,9},{5,11},{6,12},{10}}=>{{1,12},{2,3,11},{4,9},{5,7},{6,8},{10}}
{{1,3,8},{2,7},{4,10},{5,11},{6,12},{9}}=>{{1,12},{2,3,11},{4,10},{5,7},{6,8},{9}}
{{1,3,9},{2,7},{4,10},{5,11},{6,12},{8}}=>{{1,12},{2,3,11},{4,10},{5,7},{6,9},{8}}
{{1,3,9},{2,8},{4,10},{5,11},{6,12},{7}}=>{{1,12},{2,3,11},{4,10},{5,8},{6,9},{7}}
{{1,4,8},{2,5,10},{3,6,12},{7},{9},{11}}=>{{1,6,8},{2,5,10},{3,4,12},{7},{9},{11}}
{{1,4,8},{2,5,11},{3,6,12},{7},{9},{10}}=>{{1,6,8},{2,5,11},{3,4,12},{7},{9},{10}}
{{1,4,9},{2,5,10},{3,6,12},{7},{8},{11}}=>{{1,6,9},{2,5,10},{3,4,12},{7},{8},{11}}
{{1,4,9},{2,5,11},{3,6,12},{7},{8},{10}}=>{{1,6,9},{2,5,11},{3,4,12},{7},{8},{10}}
{{1,4,10},{2,5,11},{3,6,12},{7},{8},{9}}=>{{1,6,10},{2,5,11},{3,4,12},{7},{8},{9}}
{{1,4,8},{2,5,10},{3,7},{6,12},{9},{11}}=>{{1,12},{2,5,10},{3,4,7},{6,8},{9},{11}}
{{1,4,8},{2,5,11},{3,7},{6,12},{9},{10}}=>{{1,12},{2,5,11},{3,4,7},{6,8},{9},{10}}
{{1,4,9},{2,5,10},{3,7},{6,12},{8},{11}}=>{{1,12},{2,5,10},{3,4,7},{6,9},{8},{11}}
{{1,4,9},{2,5,11},{3,7},{6,12},{8},{10}}=>{{1,12},{2,5,11},{3,4,7},{6,9},{8},{10}}
{{1,4,10},{2,5,11},{3,7},{6,12},{8},{9}}=>{{1,12},{2,5,11},{3,4,7},{6,10},{8},{9}}
{{1,4,9},{2,5,10},{3,8},{6,12},{7},{11}}=>{{1,12},{2,5,10},{3,4,8},{6,9},{7},{11}}
{{1,4,9},{2,5,11},{3,8},{6,12},{7},{10}}=>{{1,12},{2,5,11},{3,4,8},{6,9},{7},{10}}
{{1,4,10},{2,5,11},{3,8},{6,12},{7},{9}}=>{{1,12},{2,5,11},{3,4,8},{6,10},{7},{9}}
{{1,4,10},{2,5,11},{3,9},{6,12},{7},{8}}=>{{1,12},{2,5,11},{3,4,9},{6,10},{7},{8}}
{{1,4,8},{2,6,12},{3,7},{5,10},{9},{11}}=>{{1,10},{2,7},{3,4,6,8},{5,12},{9},{11}}
{{1,4,8},{2,6,12},{3,7},{5,11},{9},{10}}=>{{1,11},{2,7},{3,4,6,8},{5,12},{9},{10}}
{{1,4,9},{2,6,12},{3,7},{5,10},{8},{11}}=>{{1,10},{2,7},{3,4,6,9},{5,12},{8},{11}}
{{1,4,9},{2,6,12},{3,7},{5,11},{8},{10}}=>{{1,11},{2,7},{3,4,6,9},{5,12},{8},{10}}
{{1,4,10},{2,6,12},{3,7},{5,11},{8},{9}}=>{{1,11},{2,7},{3,4,6,10},{5,12},{8},{9}}
{{1,4,9},{2,6,12},{3,8},{5,10},{7},{11}}=>{{1,10},{2,8},{3,4,6,9},{5,12},{7},{11}}
{{1,4,9},{2,6,12},{3,8},{5,11},{7},{10}}=>{{1,11},{2,8},{3,4,6,9},{5,12},{7},{10}}
{{1,4,10},{2,6,12},{3,8},{5,11},{7},{9}}=>{{1,11},{2,8},{3,4,6,10},{5,12},{7},{9}}
{{1,4,10},{2,6,12},{3,9},{5,11},{7},{8}}=>{{1,11},{2,9},{3,4,6,10},{5,12},{7},{8}}
{{1,4,9},{2,7},{3,8},{5,10},{6,12},{11}}=>{{1,12},{2,10},{3,4,8},{5,7},{6,9},{11}}
{{1,4,9},{2,7},{3,8},{5,11},{6,12},{10}}=>{{1,12},{2,11},{3,4,8},{5,7},{6,9},{10}}
{{1,4,10},{2,7},{3,8},{5,11},{6,12},{9}}=>{{1,12},{2,11},{3,4,8},{5,7},{6,10},{9}}
{{1,4,10},{2,7},{3,9},{5,11},{6,12},{8}}=>{{1,12},{2,11},{3,4,9},{5,7},{6,10},{8}}
{{1,4,10},{2,8},{3,9},{5,11},{6,12},{7}}=>{{1,12},{2,11},{3,4,9},{5,8},{6,10},{7}}
{{1,5,10},{2,6,12},{3,7},{4,8},{9},{11}}=>{{1,8},{2,7},{3,6,10},{4,5,12},{9},{11}}
{{1,5,11},{2,6,12},{3,7},{4,8},{9},{10}}=>{{1,8},{2,7},{3,6,11},{4,5,12},{9},{10}}
{{1,5,10},{2,6,12},{3,7},{4,9},{8},{11}}=>{{1,9},{2,7},{3,6,10},{4,5,12},{8},{11}}
{{1,5,11},{2,6,12},{3,7},{4,9},{8},{10}}=>{{1,9},{2,7},{3,6,11},{4,5,12},{8},{10}}
{{1,5,11},{2,6,12},{3,7},{4,10},{8},{9}}=>{{1,10},{2,7},{3,6,11},{4,5,12},{8},{9}}
{{1,5,10},{2,6,12},{3,8},{4,9},{7},{11}}=>{{1,9},{2,8},{3,6,10},{4,5,12},{7},{11}}
{{1,5,11},{2,6,12},{3,8},{4,9},{7},{10}}=>{{1,9},{2,8},{3,6,11},{4,5,12},{7},{10}}
{{1,5,11},{2,6,12},{3,8},{4,10},{7},{9}}=>{{1,10},{2,8},{3,6,11},{4,5,12},{7},{9}}
{{1,5,11},{2,6,12},{3,9},{4,10},{7},{8}}=>{{1,10},{2,9},{3,6,11},{4,5,12},{7},{8}}
{{1,5,10},{2,7},{3,8},{4,9},{6,12},{11}}=>{{1,12},{2,9},{3,8},{4,5,7},{6,10},{11}}
{{1,5,11},{2,7},{3,8},{4,9},{6,12},{10}}=>{{1,12},{2,9},{3,8},{4,5,7},{6,11},{10}}
{{1,5,11},{2,7},{3,8},{4,10},{6,12},{9}}=>{{1,12},{2,10},{3,8},{4,5,7},{6,11},{9}}
{{1,5,11},{2,7},{3,9},{4,10},{6,12},{8}}=>{{1,12},{2,10},{3,9},{4,5,7},{6,11},{8}}
{{1,5,11},{2,8},{3,9},{4,10},{6,12},{7}}=>{{1,12},{2,10},{3,9},{4,5,8},{6,11},{7}}
{{1,6,12},{2,7},{3,8},{4,9},{5,10},{11}}=>{{1,10},{2,9},{3,8},{4,7},{5,6,12},{11}}
{{1,6,12},{2,7},{3,8},{4,9},{5,11},{10}}=>{{1,11},{2,9},{3,8},{4,7},{5,6,12},{10}}
{{1,6,12},{2,7},{3,8},{4,10},{5,11},{9}}=>{{1,11},{2,10},{3,8},{4,7},{5,6,12},{9}}
{{1,6,12},{2,7},{3,9},{4,10},{5,11},{8}}=>{{1,11},{2,10},{3,9},{4,7},{5,6,12},{8}}
{{1,6,12},{2,8},{3,9},{4,10},{5,11},{7}}=>{{1,11},{2,10},{3,9},{4,8},{5,6,12},{7}}
{{1,2,4,6,8,10,12},{3},{5},{7},{9},{11}}=>{{1,2,4,6,8,10,12},{3},{5},{7},{9},{11}}
{{1,2,4,6,8,11},{3,12},{5},{7},{9},{10}}=>{{1,2,12},{3,4,6,8,11},{5},{7},{9},{10}}
{{1,2,4,6,9,12},{3,10},{5},{7},{8},{11}}=>{{1,2,10},{3,4,6,9,12},{5},{7},{8},{11}}
{{1,2,4,6,9,11},{3},{5,12},{7},{8},{10}}=>{{1,2,4,12},{3},{5,6,9,11},{7},{8},{10}}
{{1,2,4,6,10},{3,11},{5,12},{7},{8},{9}}=>{{1,2,12},{3,4,11},{5,6,10},{7},{8},{9}}
{{1,2,4,7,10,12},{3,8},{5},{6},{9},{11}}=>{{1,2,8},{3,4,7,10,12},{5},{6},{9},{11}}
{{1,2,4,7,11},{3,8,12},{5},{6},{9},{10}}=>{{1,2,8,11},{3,4,7,12},{5},{6},{9},{10}}
{{1,2,4,7,9,12},{3},{5,10},{6},{8},{11}}=>{{1,2,4,10},{3},{5,7,9,12},{6},{8},{11}}
{{1,2,4,7,9,11},{3},{5},{6,12},{8},{10}}=>{{1,2,4,12},{3},{5},{6,7,9,11},{8},{10}}
{{1,2,4,7,10},{3,11},{5},{6,12},{8},{9}}=>{{1,2,12},{3,4,11},{5},{6,7,10},{8},{9}}
{{1,2,4,8,12},{3,9},{5,10},{6},{7},{11}}=>{{1,2,10},{3,4,9},{5,8,12},{6},{7},{11}}
{{1,2,4,8,11},{3,9},{5},{6,12},{7},{10}}=>{{1,2,12},{3,4,9},{5},{6,8,11},{7},{10}}
{{1,2,4,8,10},{3},{5,11},{6,12},{7},{9}}=>{{1,2,4,12},{3},{5,11},{6,8,10},{7},{9}}
{{1,2,4,9},{3,10},{5,11},{6,12},{7},{8}}=>{{1,2,12},{3,4,11},{5,10},{6,9},{7},{8}}
{{1,2,5,8,10,12},{3,6},{4},{7},{9},{11}}=>{{1,2,6},{3,5,8,10,12},{4},{7},{9},{11}}
{{1,2,5,8,11},{3,6,12},{4},{7},{9},{10}}=>{{1,2,6,8,11},{3,5,12},{4},{7},{9},{10}}
{{1,2,5,9,12},{3,6,10},{4},{7},{8},{11}}=>{{1,2,6,9,12},{3,5,10},{4},{7},{8},{11}}
{{1,2,5,9,11},{3,6},{4,12},{7},{8},{10}}=>{{1,2,12},{3,6},{4,5,9,11},{7},{8},{10}}
{{1,2,5,10},{3,6,11},{4,12},{7},{8},{9}}=>{{1,2,12},{3,6,10},{4,5,11},{7},{8},{9}}
{{1,2,5,7,10,12},{3},{4,8},{6},{9},{11}}=>{{1,2,8},{3},{4,5,7,10,12},{6},{9},{11}}
{{1,2,5,7,11},{3},{4,8,12},{6},{9},{10}}=>{{1,2,8,11},{3},{4,5,7,12},{6},{9},{10}}
{{1,2,5,7,9,12},{3},{4},{6,10},{8},{11}}=>{{1,2,5,10},{3},{4},{6,7,9,12},{8},{11}}
{{1,2,5,7,9,11},{3},{4},{6},{8,12},{10}}=>{{1,2,5,7,12},{3},{4},{6},{8,9,11},{10}}
{{1,2,5,7,10},{3,11},{4},{6},{8,12},{9}}=>{{1,2,12},{3,5,7,11},{4},{6},{8,10},{9}}
{{1,2,5,8,12},{3,9},{4},{6,10},{7},{11}}=>{{1,2,10},{3,5,9},{4},{6,8,12},{7},{11}}
{{1,2,5,8,11},{3,9},{4},{6},{7,12},{10}}=>{{1,2,12},{3,5,9},{4},{6},{7,8,11},{10}}
{{1,2,5,8,10},{3},{4,11},{6},{7,12},{9}}=>{{1,2,12},{3},{4,5,11},{6},{7,8,10},{9}}
{{1,2,5,9},{3,10},{4,11},{6},{7,12},{8}}=>{{1,2,12},{3,11},{4,5,10},{6},{7,9},{8}}
{{1,2,6,10,12},{3,7},{4,8},{5},{9},{11}}=>{{1,2,8},{3,7},{4,6,10,12},{5},{9},{11}}
{{1,2,6,11},{3,7,12},{4,8},{5},{9},{10}}=>{{1,2,8},{3,7,11},{4,6,12},{5},{9},{10}}
{{1,2,6,9,12},{3,7},{4},{5,10},{8},{11}}=>{{1,2,10},{3,7},{4},{5,6,9,12},{8},{11}}
{{1,2,6,9,11},{3,7},{4},{5},{8,12},{10}}=>{{1,2,7},{3,6,12},{4},{5},{8,9,11},{10}}
{{1,2,6,10},{3,7,11},{4},{5},{8,12},{9}}=>{{1,2,7,11},{3,6,12},{4},{5},{8,10},{9}}
{{1,2,6,8,12},{3},{4,9},{5,10},{7},{11}}=>{{1,2,10},{3},{4,9},{5,6,8,12},{7},{11}}
{{1,2,6,8,11},{3},{4,9},{5},{7,12},{10}}=>{{1,2,12},{3},{4,6,9},{5},{7,8,11},{10}}
{{1,2,6,8,10},{3},{4},{5,11},{7,12},{9}}=>{{1,2,12},{3},{4},{5,6,11},{7,8,10},{9}}
{{1,2,6,9},{3,10},{4},{5,11},{7,12},{8}}=>{{1,2,12},{3,11},{4},{5,6,10},{7,9},{8}}
{{1,2,7,12},{3,8},{4,9},{5,10},{6},{11}}=>{{1,2,10},{3,9},{4,8},{5,7,12},{6},{11}}
{{1,2,7,11},{3,8},{4,9},{5},{6,12},{10}}=>{{1,2,12},{3,9},{4,8},{5},{6,7,11},{10}}
{{1,2,7,10},{3,8},{4},{5,11},{6,12},{9}}=>{{1,2,12},{3,11},{4},{5,8},{6,7,10},{9}}
{{1,2,7,9},{3},{4,10},{5,11},{6,12},{8}}=>{{1,2,12},{3},{4,11},{5,10},{6,7,9},{8}}
{{1,3,6,8,10,12},{2,4},{5},{7},{9},{11}}=>{{1,4},{2,3,6,8,10,12},{5},{7},{9},{11}}
{{1,3,6,8,11},{2,4,12},{5},{7},{9},{10}}=>{{1,4,6,8,11},{2,3,12},{5},{7},{9},{10}}
{{1,3,6,9,12},{2,4,10},{5},{7},{8},{11}}=>{{1,4,6,9,12},{2,3,10},{5},{7},{8},{11}}
{{1,3,6,9,11},{2,4},{5,12},{7},{8},{10}}=>{{1,4},{2,3,12},{5,6,9,11},{7},{8},{10}}
{{1,3,6,10},{2,4,11},{5,12},{7},{8},{9}}=>{{1,4,11},{2,3,12},{5,6,10},{7},{8},{9}}
{{1,3,7,10,12},{2,4,8},{5},{6},{9},{11}}=>{{1,4,7,10,12},{2,3,8},{5},{6},{9},{11}}
{{1,3,7,11},{2,4,8,12},{5},{6},{9},{10}}=>{{1,4,7,12},{2,3,8,11},{5},{6},{9},{10}}
{{1,3,7,9,12},{2,4},{5,10},{6},{8},{11}}=>{{1,4},{2,3,10},{5,7,9,12},{6},{8},{11}}
{{1,3,7,9,11},{2,4},{5},{6,12},{8},{10}}=>{{1,4},{2,3,12},{5},{6,7,9,11},{8},{10}}
{{1,3,7,10},{2,4,11},{5},{6,12},{8},{9}}=>{{1,4,11},{2,3,12},{5},{6,7,10},{8},{9}}
{{1,3,8,12},{2,4,9},{5,10},{6},{7},{11}}=>{{1,4,9},{2,3,10},{5,8,12},{6},{7},{11}}
{{1,3,8,11},{2,4,9},{5},{6,12},{7},{10}}=>{{1,4,9},{2,3,12},{5},{6,8,11},{7},{10}}
{{1,3,8,10},{2,4},{5,11},{6,12},{7},{9}}=>{{1,4},{2,3,12},{5,11},{6,8,10},{7},{9}}
{{1,3,5,8,10,12},{2},{4,6},{7},{9},{11}}=>{{1,3,6},{2},{4,5,8,10,12},{7},{9},{11}}
{{1,3,5,8,11},{2},{4,6,12},{7},{9},{10}}=>{{1,3,6,8,11},{2},{4,5,12},{7},{9},{10}}
{{1,3,5,9,12},{2},{4,6,10},{7},{8},{11}}=>{{1,3,6,9,12},{2},{4,5,10},{7},{8},{11}}
{{1,3,5,9,11},{2,12},{4,6},{7},{8},{10}}=>{{1,6},{2,3,12},{4,5,9,11},{7},{8},{10}}
{{1,3,5,10},{2,12},{4,6,11},{7},{8},{9}}=>{{1,6,10},{2,3,11},{4,5,12},{7},{8},{9}}
{{1,3,5,7,10,12},{2},{4},{6,8},{9},{11}}=>{{1,3,5,8},{2},{4},{6,7,10,12},{9},{11}}
{{1,3,5,7,11},{2},{4},{6,8,12},{9},{10}}=>{{1,3,5,8,11},{2},{4},{6,7,12},{9},{10}}
{{1,3,5,7,9,12},{2},{4},{6},{8,10},{11}}=>{{1,3,5,7,10},{2},{4},{6},{8,9,12},{11}}
{{1,3,5,7,9,11},{2},{4},{6},{8},{10,12}}=>{{1,3,5,7,9,12},{2},{4},{6},{8},{10,11}}
{{1,3,5,7,10},{2,11},{4},{6},{8},{9,12}}=>{{1,12},{2,3,5,7,11},{4},{6},{8},{9,10}}
{{1,3,5,8,12},{2,9},{4},{6},{7,10},{11}}=>{{1,10},{2,3,5,9},{4},{6},{7,8,12},{11}}
{{1,3,5,8,11},{2,9},{4},{6},{7},{10,12}}=>{{1,9},{2,3,5,8,12},{4},{6},{7},{10,11}}
{{1,3,5,8,10},{2},{4,11},{6},{7},{9,12}}=>{{1,3,12},{2},{4,5,8,11},{6},{7},{9,10}}
{{1,3,5,9},{2,10},{4,11},{6},{7},{8,12}}=>{{1,12},{2,3,11},{4,5,10},{6},{7},{8,9}}
{{1,3,6,10,12},{2,7},{4},{5,8},{9},{11}}=>{{1,8},{2,3,7},{4},{5,6,10,12},{9},{11}}
{{1,3,6,11},{2,7,12},{4},{5,8},{9},{10}}=>{{1,8},{2,3,7,11},{4},{5,6,12},{9},{10}}
{{1,3,6,9,12},{2,7},{4},{5},{8,10},{11}}=>{{1,7},{2,3,6,10},{4},{5},{8,9,12},{11}}
{{1,3,6,9,11},{2,7},{4},{5},{8},{10,12}}=>{{1,7},{2,3,6,9,12},{4},{5},{8},{10,11}}
{{1,3,6,10},{2,7,11},{4},{5},{8},{9,12}}=>{{1,7,11},{2,3,6,12},{4},{5},{8},{9,10}}
{{1,3,6,8,12},{2},{4,9},{5},{7,10},{11}}=>{{1,3,10},{2},{4,6,9},{5},{7,8,12},{11}}
{{1,3,6,8,11},{2},{4,9},{5},{7},{10,12}}=>{{1,3,9},{2},{4,6,8,12},{5},{7},{10,11}}
{{1,3,6,8,10},{2},{4},{5,11},{7},{9,12}}=>{{1,3,12},{2},{4},{5,6,8,11},{7},{9,10}}
{{1,3,6,9},{2,10},{4},{5,11},{7},{8,12}}=>{{1,12},{2,3,11},{4},{5,6,10},{7},{8,9}}
{{1,3,7,12},{2,8},{4,9},{5},{6,10},{11}}=>{{1,10},{2,3,9},{4,8},{5},{6,7,12},{11}}
{{1,3,7,11},{2,8},{4,9},{5},{6},{10,12}}=>{{1,9},{2,3,8},{4,7,12},{5},{6},{10,11}}
{{1,3,7,10},{2,8},{4},{5,11},{6},{9,12}}=>{{1,12},{2,3,8},{4},{5,7,11},{6},{9,10}}
{{1,3,7,9},{2},{4,10},{5,11},{6},{8,12}}=>{{1,3,12},{2},{4,11},{5,7,10},{6},{8,9}}
{{1,3,8},{2,9},{4,10},{5,11},{6},{7,12}}=>{{1,12},{2,3,11},{4,10},{5,9},{6},{7,8}}
{{1,4,8,10,12},{2,5},{3,6},{7},{9},{11}}=>{{1,6},{2,5},{3,4,8,10,12},{7},{9},{11}}
{{1,4,8,11},{2,5,12},{3,6},{7},{9},{10}}=>{{1,6},{2,5,8,11},{3,4,12},{7},{9},{10}}
{{1,4,9,12},{2,5,10},{3,6},{7},{8},{11}}=>{{1,6},{2,5,9,12},{3,4,10},{7},{8},{11}}
{{1,4,9,11},{2,5},{3,6,12},{7},{8},{10}}=>{{1,6,9,11},{2,5},{3,4,12},{7},{8},{10}}
{{1,4,7,10,12},{2,5},{3},{6,8},{9},{11}}=>{{1,5},{2,4,8},{3},{6,7,10,12},{9},{11}}
{{1,4,7,11},{2,5,12},{3},{6,8},{9},{10}}=>{{1,5,12},{2,4,8},{3},{6,7,11},{9},{10}}
{{1,4,7,9,12},{2,5},{3},{6},{8,10},{11}}=>{{1,5},{2,4,7,10},{3},{6},{8,9,12},{11}}
{{1,4,7,9,11},{2,5},{3},{6},{8},{10,12}}=>{{1,5},{2,4,7,9,12},{3},{6},{8},{10,11}}
{{1,4,7,10},{2,5,11},{3},{6},{8},{9,12}}=>{{1,5,7,11},{2,4,12},{3},{6},{8},{9,10}}
{{1,4,8,12},{2,5,9},{3},{6},{7,10},{11}}=>{{1,5,9},{2,4,10},{3},{6},{7,8,12},{11}}
{{1,4,8,11},{2,5,9},{3},{6},{7},{10,12}}=>{{1,5,8,12},{2,4,9},{3},{6},{7},{10,11}}
{{1,4,8,10},{2,5},{3,11},{6},{7},{9,12}}=>{{1,12},{2,5},{3,4,8,11},{6},{7},{9,10}}
{{1,4,9},{2,5,10},{3,11},{6},{7},{8,12}}=>{{1,12},{2,5,10},{3,4,11},{6},{7},{8,9}}
{{1,4,6,10,12},{2},{3,7},{5,8},{9},{11}}=>{{1,8},{2},{3,4,7},{5,6,10,12},{9},{11}}
{{1,4,6,11},{2},{3,7,12},{5,8},{9},{10}}=>{{1,8},{2},{3,4,7,11},{5,6,12},{9},{10}}
{{1,4,6,9,12},{2},{3,7},{5},{8,10},{11}}=>{{1,7},{2},{3,4,6,10},{5},{8,9,12},{11}}
{{1,4,6,9,11},{2},{3,7},{5},{8},{10,12}}=>{{1,7},{2},{3,4,6,9,12},{5},{8},{10,11}}
{{1,4,6,10},{2},{3,7,11},{5},{8},{9,12}}=>{{1,7,11},{2},{3,4,6,12},{5},{8},{9,10}}
{{1,4,6,8,12},{2},{3},{5,9},{7,10},{11}}=>{{1,4,10},{2},{3},{5,6,9},{7,8,12},{11}}
{{1,4,6,8,11},{2},{3},{5,9},{7},{10,12}}=>{{1,4,9},{2},{3},{5,6,8,12},{7},{10,11}}
{{1,4,6,8,10},{2},{3},{5},{7,11},{9,12}}=>{{1,4,6,12},{2},{3},{5},{7,8,11},{9,10}}
{{1,4,6,9},{2,10},{3},{5},{7,11},{8,12}}=>{{1,12},{2,4,6,11},{3},{5},{7,10},{8,9}}
{{1,4,7,12},{2,8},{3},{5,9},{6,10},{11}}=>{{1,10},{2,4,9},{3},{5,8},{6,7,12},{11}}
{{1,4,7,11},{2,8},{3},{5,9},{6},{10,12}}=>{{1,9},{2,4,8},{3},{5,7,12},{6},{10,11}}
{{1,4,7,10},{2,8},{3},{5},{6,11},{9,12}}=>{{1,12},{2,4,8},{3},{5},{6,7,11},{9,10}}
{{1,4,7,9},{2},{3,10},{5},{6,11},{8,12}}=>{{1,12},{2},{3,4,11},{5},{6,7,10},{8,9}}
{{1,4,8},{2,9},{3,10},{5},{6,11},{7,12}}=>{{1,12},{2,11},{3,4,10},{5},{6,9},{7,8}}
{{1,5,10,12},{2,6},{3,7},{4,8},{9},{11}}=>{{1,8},{2,7},{3,6},{4,5,10,12},{9},{11}}
{{1,5,9,12},{2,6},{3,7},{4},{8,10},{11}}=>{{1,7},{2,6},{3,5,10},{4},{8,9,12},{11}}
{{1,5,9,11},{2,6},{3,7},{4},{8},{10,12}}=>{{1,7},{2,6},{3,5,9,12},{4},{8},{10,11}}
{{1,5,10},{2,6,11},{3,7},{4},{8},{9,12}}=>{{1,7},{2,6,11},{3,5,12},{4},{8},{9,10}}
{{1,5,8,12},{2,6},{3},{4,9},{7,10},{11}}=>{{1,10},{2,6},{3},{4,5,9},{7,8,12},{11}}
{{1,5,8,11},{2,6},{3},{4,9},{7},{10,12}}=>{{1,9},{2,6},{3},{4,5,8,12},{7},{10,11}}
{{1,5,8,10},{2,6},{3},{4},{7,11},{9,12}}=>{{1,6},{2,5,12},{3},{4},{7,8,11},{9,10}}
{{1,5,9},{2,6,10},{3},{4},{7,11},{8,12}}=>{{1,6,11},{2,5,12},{3},{4},{7,10},{8,9}}
{{1,5,7,12},{2},{3,8},{4,9},{6,10},{11}}=>{{1,10},{2},{3,9},{4,5,8},{6,7,12},{11}}
{{1,5,7,11},{2},{3,8},{4,9},{6},{10,12}}=>{{1,9},{2},{3,8},{4,5,7,12},{6},{10,11}}
{{1,5,7,10},{2},{3,8},{4},{6,11},{9,12}}=>{{1,12},{2},{3,5,8},{4},{6,7,11},{9,10}}
{{1,5,7,9},{2},{3},{4,10},{6,11},{8,12}}=>{{1,12},{2},{3},{4,5,11},{6,7,10},{8,9}}
{{1,5,8},{2,9},{3},{4,10},{6,11},{7,12}}=>{{1,12},{2,11},{3},{4,5,10},{6,9},{7,8}}
{{1,6,11},{2,7},{3,8},{4,9},{5},{10,12}}=>{{1,9},{2,8},{3,7},{4,6,12},{5},{10,11}}
{{1,6,10},{2,7},{3,8},{4},{5,11},{9,12}}=>{{1,12},{2,8},{3,7},{4},{5,6,11},{9,10}}
{{1,6,9},{2,7},{3},{4,10},{5,11},{8,12}}=>{{1,12},{2,11},{3},{4,7},{5,6,10},{8,9}}
{{1,6,8},{2},{3,9},{4,10},{5,11},{7,12}}=>{{1,12},{2},{3,11},{4,10},{5,6,9},{7,8}}
{{1,2,5,7,11},{3,12},{4,8},{6},{9},{10}}=>{{1,2,8},{3,12},{4,5,7,11},{6},{9},{10}}
{{1,3,5,8,11},{2,12},{4,6},{7},{9},{10}}=>{{1,6},{2,3,12},{4,5,8,11},{7},{9},{10}}
{{1,3,5,9,12},{2,10},{4,6},{7},{8},{11}}=>{{1,6},{2,3,10},{4,5,9,12},{7},{8},{11}}
{{1,3,5,9,11},{2},{4,6,12},{7},{8},{10}}=>{{1,3,6,9,11},{2},{4,5,12},{7},{8},{10}}
{{1,3,5,10},{2,11},{4,6,12},{7},{8},{9}}=>{{1,6,10},{2,3,12},{4,5,11},{7},{8},{9}}
{{1,3,5,7,11},{2,12},{4},{6,8},{9},{10}}=>{{1,8},{2,3,5,12},{4},{6,7,11},{9},{10}}
{{1,4,6,11},{2,12},{3,7},{5,8},{9},{10}}=>{{1,8},{2,7},{3,4,12},{5,6,11},{9},{10}}
{{1,4,6,10},{2,11},{3,7},{5},{8},{9,12}}=>{{1,7},{2,12},{3,4,6,11},{5},{8},{9,10}}
{{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}}=>{{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}}
{{1},{2,4,6,8,12},{3},{5},{7},{9,11},{10}}=>{{1},{2,4,6,8,11},{3},{5},{7},{9,12},{10}}
{{1},{2,4,6,10,12},{3},{5},{7,9},{8},{11}}=>{{1},{2,4,6,9},{3},{5},{7,10,12},{8},{11}}
{{1},{2,4,6,12},{3},{5},{7,9,11},{8},{10}}=>{{1},{2,4,6,9,12},{3},{5},{7,11},{8},{10}}
{{1},{2,4,6,12},{3},{5},{7,11},{8,10},{9}}=>{{1},{2,4,6,10},{3},{5},{7,11},{8,12},{9}}
{{1},{2,4,8,10,12},{3},{5,7},{6},{9},{11}}=>{{1},{2,4,7},{3},{5,8,10,12},{6},{9},{11}}
{{1},{2,4,8,12},{3},{5,7},{6},{9,11},{10}}=>{{1},{2,4,7},{3},{5,8,11},{6},{9,12},{10}}
{{1},{2,4,10,12},{3},{5,7,9},{6},{8},{11}}=>{{1},{2,4,7,10,12},{3},{5,9},{6},{8},{11}}
{{1},{2,4,10,12},{3},{5,9},{6,8},{7},{11}}=>{{1},{2,4,8},{3},{5,9},{6,10,12},{7},{11}}
{{1},{2,4,12},{3},{5,7,9,11},{6},{8},{10}}=>{{1},{2,4,7,11},{3},{5,9,12},{6},{8},{10}}
{{1},{2,4,12},{3},{5,7,11},{6},{8,10},{9}}=>{{1},{2,4,7,11},{3},{5,10},{6},{8,12},{9}}
{{1},{2,4,12},{3},{5,9,11},{6,8},{7},{10}}=>{{1},{2,4,8},{3},{5,9,12},{6,11},{7},{10}}
{{1},{2,4,12},{3},{5,11},{6,8,10},{7},{9}}=>{{1},{2,4,8,12},{3},{5,10},{6,11},{7},{9}}
{{1},{2,4,12},{3},{5,11},{6,10},{7,9},{8}}=>{{1},{2,4,9},{3},{5,10},{6,11},{7,12},{8}}
{{1},{2,6,8,10,12},{3,5},{4},{7},{9},{11}}=>{{1},{2,5},{3,6,8,10,12},{4},{7},{9},{11}}
{{1},{2,6,8,12},{3,5},{4},{7},{9,11},{10}}=>{{1},{2,5},{3,6,8,11},{4},{7},{9,12},{10}}
{{1},{2,6,10,12},{3,5},{4},{7,9},{8},{11}}=>{{1},{2,5},{3,6,9},{4},{7,10,12},{8},{11}}
{{1},{2,6,12},{3,5},{4},{7,9,11},{8},{10}}=>{{1},{2,5},{3,6,9,12},{4},{7,11},{8},{10}}
{{1},{2,6,12},{3,5},{4},{7,11},{8,10},{9}}=>{{1},{2,5},{3,6,10},{4},{7,11},{8,12},{9}}
{{1},{2,8,10,12},{3,5,7},{4},{6},{9},{11}}=>{{1},{2,5,8,10,12},{3,7},{4},{6},{9},{11}}
{{1},{2,8,12},{3,5,7},{4},{6},{9,11},{10}}=>{{1},{2,5,8,11},{3,7},{4},{6},{9,12},{10}}
{{1},{2,8,10,12},{3,7},{4,6},{5},{9},{11}}=>{{1},{2,6},{3,7},{4,8,10,12},{5},{9},{11}}
{{1},{2,8,12},{3,7},{4,6},{5},{9,11},{10}}=>{{1},{2,6},{3,7},{4,8,11},{5},{9,12},{10}}
{{1},{2,10,12},{3,5,7,9},{4},{6},{8},{11}}=>{{1},{2,5,9},{3,7,10,12},{4},{6},{8},{11}}
{{1},{2,10,12},{3,5,9},{4},{6,8},{7},{11}}=>{{1},{2,5,9},{3,8},{4},{6,10,12},{7},{11}}
{{1},{2,10,12},{3,7,9},{4,6},{5},{8},{11}}=>{{1},{2,6},{3,7,10,12},{4,9},{5},{8},{11}}
{{1},{2,10,12},{3,9},{4,6,8},{5},{7},{11}}=>{{1},{2,6,10,12},{3,8},{4,9},{5},{7},{11}}
{{1},{2,10,12},{3,9},{4,8},{5,7},{6},{11}}=>{{1},{2,7},{3,8},{4,9},{5,10,12},{6},{11}}
{{1},{2,12},{3,5,7,9,11},{4},{6},{8},{10}}=>{{1},{2,5,9,12},{3,7,11},{4},{6},{8},{10}}
{{1},{2,12},{3,5,7,11},{4},{6},{8,10},{9}}=>{{1},{2,5,10},{3,7,11},{4},{6},{8,12},{9}}
{{1},{2,12},{3,5,9,11},{4},{6,8},{7},{10}}=>{{1},{2,5,9,12},{3,8},{4},{6,11},{7},{10}}
{{1},{2,12},{3,5,11},{4},{6,8,10},{7},{9}}=>{{1},{2,5,10},{3,8,12},{4},{6,11},{7},{9}}
{{1},{2,12},{3,5,11},{4},{6,10},{7,9},{8}}=>{{1},{2,5,10},{3,9},{4},{6,11},{7,12},{8}}
{{1},{2,12},{3,7,9,11},{4,6},{5},{8},{10}}=>{{1},{2,6},{3,7,11},{4,9,12},{5},{8},{10}}
{{1},{2,12},{3,7,11},{4,6},{5},{8,10},{9}}=>{{1},{2,6},{3,7,11},{4,10},{5},{8,12},{9}}
{{1},{2,12},{3,9,11},{4,6,8},{5},{7},{10}}=>{{1},{2,6,11},{3,8},{4,9,12},{5},{7},{10}}
{{1},{2,12},{3,9,11},{4,8},{5,7},{6},{10}}=>{{1},{2,7},{3,8},{4,9,12},{5,11},{6},{10}}
{{1},{2,12},{3,11},{4,6,8,10},{5},{7},{9}}=>{{1},{2,6,11},{3,8,12},{4,10},{5},{7},{9}}
{{1},{2,12},{3,11},{4,6,10},{5},{7,9},{8}}=>{{1},{2,6,11},{3,9},{4,10},{5},{7,12},{8}}
{{1},{2,12},{3,11},{4,8,10},{5,7},{6},{9}}=>{{1},{2,7},{3,8,12},{4,10},{5,11},{6},{9}}
{{1},{2,12},{3,11},{4,10},{5,7,9},{6},{8}}=>{{1},{2,7,12},{3,9},{4,10},{5,11},{6},{8}}
{{1},{2,12},{3,11},{4,10},{5,9},{6,8},{7}}=>{{1},{2,8},{3,9},{4,10},{5,11},{6,12},{7}}
{{1,3},{2},{4,6,8,10,12},{5},{7},{9},{11}}=>{{1,3},{2},{4,6,8,10,12},{5},{7},{9},{11}}
{{1,3},{2},{4,6,8,12},{5},{7},{9,11},{10}}=>{{1,3},{2},{4,6,8,11},{5},{7},{9,12},{10}}
{{1,3},{2},{4,6,10,12},{5},{7,9},{8},{11}}=>{{1,3},{2},{4,6,9},{5},{7,10,12},{8},{11}}
{{1,3},{2},{4,6,12},{5},{7,9,11},{8},{10}}=>{{1,3},{2},{4,6,9,12},{5},{7,11},{8},{10}}
{{1,3},{2},{4,6,12},{5},{7,11},{8,10},{9}}=>{{1,3},{2},{4,6,10},{5},{7,11},{8,12},{9}}
{{1,3},{2},{4,8,10,12},{5,7},{6},{9},{11}}=>{{1,3},{2},{4,7},{5,8,10,12},{6},{9},{11}}
{{1,3},{2},{4,8,12},{5,7},{6},{9,11},{10}}=>{{1,3},{2},{4,7},{5,8,11},{6},{9,12},{10}}
{{1,3},{2},{4,10,12},{5,7,9},{6},{8},{11}}=>{{1,3},{2},{4,7,10,12},{5,9},{6},{8},{11}}
{{1,3},{2},{4,10,12},{5,9},{6,8},{7},{11}}=>{{1,3},{2},{4,8},{5,9},{6,10,12},{7},{11}}
{{1,3},{2},{4,12},{5,7,9,11},{6},{8},{10}}=>{{1,3},{2},{4,7,11},{5,9,12},{6},{8},{10}}
{{1,3},{2},{4,12},{5,7,11},{6},{8,10},{9}}=>{{1,3},{2},{4,7,11},{5,10},{6},{8,12},{9}}
{{1,3},{2},{4,12},{5,9,11},{6,8},{7},{10}}=>{{1,3},{2},{4,8},{5,9,12},{6,11},{7},{10}}
{{1,3},{2},{4,12},{5,11},{6,8,10},{7},{9}}=>{{1,3},{2},{4,8,12},{5,10},{6,11},{7},{9}}
{{1,3},{2},{4,12},{5,11},{6,10},{7,9},{8}}=>{{1,3},{2},{4,9},{5,10},{6,11},{7,12},{8}}
{{1,3,5},{2},{4},{6,8,10,12},{7},{9},{11}}=>{{1,3,5},{2},{4},{6,8,10,12},{7},{9},{11}}
{{1,3,5},{2},{4},{6,8,12},{7},{9,11},{10}}=>{{1,3,5},{2},{4},{6,8,11},{7},{9,12},{10}}
{{1,3,5},{2},{4},{6,10,12},{7,9},{8},{11}}=>{{1,3,5},{2},{4},{6,9},{7,10,12},{8},{11}}
{{1,3,5},{2},{4},{6,12},{7,9,11},{8},{10}}=>{{1,3,5},{2},{4},{6,9,12},{7,11},{8},{10}}
{{1,3,5},{2},{4},{6,12},{7,11},{8,10},{9}}=>{{1,3,5},{2},{4},{6,10},{7,11},{8,12},{9}}
{{1,5},{2,4},{3},{6,8,10,12},{7},{9},{11}}=>{{1,4},{2,5},{3},{6,8,10,12},{7},{9},{11}}
{{1,5},{2,4},{3},{6,8,12},{7},{9,11},{10}}=>{{1,4},{2,5},{3},{6,8,11},{7},{9,12},{10}}
{{1,5},{2,4},{3},{6,10,12},{7,9},{8},{11}}=>{{1,4},{2,5},{3},{6,9},{7,10,12},{8},{11}}
{{1,5},{2,4},{3},{6,12},{7,9,11},{8},{10}}=>{{1,4},{2,5},{3},{6,9,12},{7,11},{8},{10}}
{{1,5},{2,4},{3},{6,12},{7,11},{8,10},{9}}=>{{1,4},{2,5},{3},{6,10},{7,11},{8,12},{9}}
{{1,3,5,7},{2},{4},{6},{8,10,12},{9},{11}}=>{{1,3,5,7},{2},{4},{6},{8,10,12},{9},{11}}
{{1,3,5,7},{2},{4},{6},{8,12},{9,11},{10}}=>{{1,3,5,7},{2},{4},{6},{8,11},{9,12},{10}}
{{1,3,7},{2},{4,6},{5},{8,10,12},{9},{11}}=>{{1,3,6},{2},{4,7},{5},{8,10,12},{9},{11}}
{{1,3,7},{2},{4,6},{5},{8,12},{9,11},{10}}=>{{1,3,6},{2},{4,7},{5},{8,11},{9,12},{10}}
{{1,5,7},{2,4},{3},{6},{8,10,12},{9},{11}}=>{{1,4},{2,5,7},{3},{6},{8,10,12},{9},{11}}
{{1,5,7},{2,4},{3},{6},{8,12},{9,11},{10}}=>{{1,4},{2,5,7},{3},{6},{8,11},{9,12},{10}}
{{1,7},{2,4,6},{3},{5},{8,10,12},{9},{11}}=>{{1,4,7},{2,6},{3},{5},{8,10,12},{9},{11}}
{{1,7},{2,4,6},{3},{5},{8,12},{9,11},{10}}=>{{1,4,7},{2,6},{3},{5},{8,11},{9,12},{10}}
{{1,7},{2,6},{3,5},{4},{8,10,12},{9},{11}}=>{{1,5},{2,6},{3,7},{4},{8,10,12},{9},{11}}
{{1,7},{2,6},{3,5},{4},{8,12},{9,11},{10}}=>{{1,5},{2,6},{3,7},{4},{8,11},{9,12},{10}}
{{1,3,5,7,9},{2},{4},{6},{8},{10,12},{11}}=>{{1,3,5,7,9},{2},{4},{6},{8},{10,12},{11}}
{{1,3,5,9},{2},{4},{6,8},{7},{10,12},{11}}=>{{1,3,5,8},{2},{4},{6,9},{7},{10,12},{11}}
{{1,3,7,9},{2},{4,6},{5},{8},{10,12},{11}}=>{{1,3,6},{2},{4,7,9},{5},{8},{10,12},{11}}
{{1,3,9},{2},{4,6,8},{5},{7},{10,12},{11}}=>{{1,3,6,9},{2},{4,8},{5},{7},{10,12},{11}}
{{1,3,9},{2},{4,8},{5,7},{6},{10,12},{11}}=>{{1,3,7},{2},{4,8},{5,9},{6},{10,12},{11}}
{{1,5,7,9},{2,4},{3},{6},{8},{10,12},{11}}=>{{1,4},{2,5,7,9},{3},{6},{8},{10,12},{11}}
{{1,5,9},{2,4},{3},{6,8},{7},{10,12},{11}}=>{{1,4},{2,5,8},{3},{6,9},{7},{10,12},{11}}
{{1,7,9},{2,4,6},{3},{5},{8},{10,12},{11}}=>{{1,4,7,9},{2,6},{3},{5},{8},{10,12},{11}}
{{1,7,9},{2,6},{3,5},{4},{8},{10,12},{11}}=>{{1,5},{2,6},{3,7,9},{4},{8},{10,12},{11}}
{{1,9},{2,4,6,8},{3},{5},{7},{10,12},{11}}=>{{1,4,8},{2,6,9},{3},{5},{7},{10,12},{11}}
{{1,9},{2,4,8},{3},{5,7},{6},{10,12},{11}}=>{{1,4,8},{2,7},{3},{5,9},{6},{10,12},{11}}
{{1,9},{2,6,8},{3,5},{4},{7},{10,12},{11}}=>{{1,5},{2,6,9},{3,8},{4},{7},{10,12},{11}}
{{1,9},{2,8},{3,5,7},{4},{6},{10,12},{11}}=>{{1,5,9},{2,7},{3,8},{4},{6},{10,12},{11}}
{{1,9},{2,8},{3,7},{4,6},{5},{10,12},{11}}=>{{1,6},{2,7},{3,8},{4,9},{5},{10,12},{11}}
{{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}}=>{{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}}
{{1,3,5,7,11},{2},{4},{6},{8,10},{9},{12}}=>{{1,3,5,7,10},{2},{4},{6},{8,11},{9},{12}}
{{1,3,5,9,11},{2},{4},{6,8},{7},{10},{12}}=>{{1,3,5,8},{2},{4},{6,9,11},{7},{10},{12}}
{{1,3,5,11},{2},{4},{6,8,10},{7},{9},{12}}=>{{1,3,5,8,11},{2},{4},{6,10},{7},{9},{12}}
{{1,3,5,11},{2},{4},{6,10},{7,9},{8},{12}}=>{{1,3,5,9},{2},{4},{6,10},{7,11},{8},{12}}
{{1,3,7,9,11},{2},{4,6},{5},{8},{10},{12}}=>{{1,3,6},{2},{4,7,9,11},{5},{8},{10},{12}}
{{1,3,7,11},{2},{4,6},{5},{8,10},{9},{12}}=>{{1,3,6},{2},{4,7,10},{5},{8,11},{9},{12}}
{{1,3,9,11},{2},{4,6,8},{5},{7},{10},{12}}=>{{1,3,6,9,11},{2},{4,8},{5},{7},{10},{12}}
{{1,3,9,11},{2},{4,8},{5,7},{6},{10},{12}}=>{{1,3,7},{2},{4,8},{5,9,11},{6},{10},{12}}
{{1,3,11},{2},{4,6,8,10},{5},{7},{9},{12}}=>{{1,3,6,10},{2},{4,8,11},{5},{7},{9},{12}}
{{1,3,11},{2},{4,6,10},{5},{7,9},{8},{12}}=>{{1,3,6,10},{2},{4,9},{5},{7,11},{8},{12}}
{{1,3,11},{2},{4,8,10},{5,7},{6},{9},{12}}=>{{1,3,7},{2},{4,8,11},{5,10},{6},{9},{12}}
{{1,3,11},{2},{4,10},{5,7,9},{6},{8},{12}}=>{{1,3,7,11},{2},{4,9},{5,10},{6},{8},{12}}
{{1,3,11},{2},{4,10},{5,9},{6,8},{7},{12}}=>{{1,3,8},{2},{4,9},{5,10},{6,11},{7},{12}}
{{1,5,7,9,11},{2,4},{3},{6},{8},{10},{12}}=>{{1,4},{2,5,7,9,11},{3},{6},{8},{10},{12}}
{{1,5,7,11},{2,4},{3},{6},{8,10},{9},{12}}=>{{1,4},{2,5,7,10},{3},{6},{8,11},{9},{12}}
{{1,5,9,11},{2,4},{3},{6,8},{7},{10},{12}}=>{{1,4},{2,5,8},{3},{6,9,11},{7},{10},{12}}
{{1,5,11},{2,4},{3},{6,8,10},{7},{9},{12}}=>{{1,4},{2,5,8,11},{3},{6,10},{7},{9},{12}}
{{1,5,11},{2,4},{3},{6,10},{7,9},{8},{12}}=>{{1,4},{2,5,9},{3},{6,10},{7,11},{8},{12}}
{{1,7,9,11},{2,4,6},{3},{5},{8},{10},{12}}=>{{1,4,7,9,11},{2,6},{3},{5},{8},{10},{12}}
{{1,7,11},{2,4,6},{3},{5},{8,10},{9},{12}}=>{{1,4,7,10},{2,6},{3},{5},{8,11},{9},{12}}
{{1,7,9,11},{2,6},{3,5},{4},{8},{10},{12}}=>{{1,5},{2,6},{3,7,9,11},{4},{8},{10},{12}}
{{1,7,11},{2,6},{3,5},{4},{8,10},{9},{12}}=>{{1,5},{2,6},{3,7,10},{4},{8,11},{9},{12}}
{{1,9,11},{2,4,6,8},{3},{5},{7},{10},{12}}=>{{1,4,8},{2,6,9,11},{3},{5},{7},{10},{12}}
{{1,9,11},{2,4,8},{3},{5,7},{6},{10},{12}}=>{{1,4,8},{2,7},{3},{5,9,11},{6},{10},{12}}
{{1,9,11},{2,6,8},{3,5},{4},{7},{10},{12}}=>{{1,5},{2,6,9,11},{3,8},{4},{7},{10},{12}}
{{1,9,11},{2,8},{3,5,7},{4},{6},{10},{12}}=>{{1,5,9,11},{2,7},{3,8},{4},{6},{10},{12}}
{{1,9,11},{2,8},{3,7},{4,6},{5},{10},{12}}=>{{1,6},{2,7},{3,8},{4,9,11},{5},{10},{12}}
{{1,11},{2,4,6,8,10},{3},{5},{7},{9},{12}}=>{{1,4,8,11},{2,6,10},{3},{5},{7},{9},{12}}
{{1,11},{2,4,6,10},{3},{5},{7,9},{8},{12}}=>{{1,4,9},{2,6,10},{3},{5},{7,11},{8},{12}}
{{1,11},{2,4,8,10},{3},{5,7},{6},{9},{12}}=>{{1,4,8,11},{2,7},{3},{5,10},{6},{9},{12}}
{{1,11},{2,4,10},{3},{5,7,9},{6},{8},{12}}=>{{1,4,9},{2,7,11},{3},{5,10},{6},{8},{12}}
{{1,11},{2,4,10},{3},{5,9},{6,8},{7},{12}}=>{{1,4,9},{2,8},{3},{5,10},{6,11},{7},{12}}
{{1,11},{2,6,8,10},{3,5},{4},{7},{9},{12}}=>{{1,5},{2,6,10},{3,8,11},{4},{7},{9},{12}}
{{1,11},{2,6,10},{3,5},{4},{7,9},{8},{12}}=>{{1,5},{2,6,10},{3,9},{4},{7,11},{8},{12}}
{{1,11},{2,8,10},{3,5,7},{4},{6},{9},{12}}=>{{1,5,10},{2,7},{3,8,11},{4},{6},{9},{12}}
{{1,11},{2,8,10},{3,7},{4,6},{5},{9},{12}}=>{{1,6},{2,7},{3,8,11},{4,10},{5},{9},{12}}
{{1,11},{2,10},{3,5,7,9},{4},{6},{8},{12}}=>{{1,5,10},{2,7,11},{3,9},{4},{6},{8},{12}}
{{1,11},{2,10},{3,5,9},{4},{6,8},{7},{12}}=>{{1,5,10},{2,8},{3,9},{4},{6,11},{7},{12}}
{{1,11},{2,10},{3,7,9},{4,6},{5},{8},{12}}=>{{1,6},{2,7,11},{3,9},{4,10},{5},{8},{12}}
{{1,11},{2,10},{3,9},{4,6,8},{5},{7},{12}}=>{{1,6,11},{2,8},{3,9},{4,10},{5},{7},{12}}
{{1,11},{2,10},{3,9},{4,8},{5,7},{6},{12}}=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6},{12}}
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Description
The inverse of a transformation of set partitions due to Wachs and White.
Return the set partition of $\{1,...,n\}$ corresponding to the set of arcs, interpreted as a rook placement, applying Wachs and White's bijection $\rho^{-1}$.
Note that our index convention differs from the convention in [1]: regarding the rook board as a lower-right triangular grid, we refer with $(i,j)$ to the cell in the $i$-th column from the right and the $j$-th row from the top.
Return the set partition of $\{1,...,n\}$ corresponding to the set of arcs, interpreted as a rook placement, applying Wachs and White's bijection $\rho^{-1}$.
Note that our index convention differs from the convention in [1]: regarding the rook board as a lower-right triangular grid, we refer with $(i,j)$ to the cell in the $i$-th column from the right and the $j$-th row from the top.
References
[1] Wachs, M., White, D. $p,q$-Stirling numbers and set partition statistics MathSciNet:1082841
Properties
bijective, graded
Sage code
def mapping(p): return SetPartitions(p.size()).from_rook_placement(p.to_rook_placement("rho"), "arcs")
Weight
21
Created
Feb 27, 2021 at 19:14 by Martin Rubey
Updated
Feb 27, 2021 at 19:14 by Martin Rubey
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