{{},{},{},{},{},{},{},{}}
{{},{},{},{},{},{},{},{1}}
{{},{},{},{},{},{},{},{1,2}}
{{},{},{},{},{},{},{},{1,2,3}}
{{},{},{},{},{},{},{},{1,2,3,4}}
{{},{},{},{},{},{},{},{1,2,3,4,5}}
{{},{},{},{},{},{},{},{1,2,3,4,5,6}}
{{},{},{},{},{},{},{},{1,2,3,4,5,6,7}}
{{},{},{},{},{},{},{1},{1}}
{{},{},{},{},{},{},{1},{2}}
{{},{},{},{},{},{},{1},{7}}
{{},{},{},{},{},{},{1},{1,2}}
{{},{},{},{},{},{},{1},{2,3}}
{{},{},{},{},{},{},{1},{2,7}}
{{},{},{},{},{},{},{1},{1,2,3}}
{{},{},{},{},{},{},{1},{2,3,4}}
{{},{},{},{},{},{},{1},{2,3,7}}
{{},{},{},{},{},{},{1},{1,2,3,4}}
{{},{},{},{},{},{},{1},{2,3,4,5}}
{{},{},{},{},{},{},{1},{2,3,4,7}}
{{},{},{},{},{},{},{1},{1,2,3,4,5}}
{{},{},{},{},{},{},{1},{2,3,4,5,6}}
{{},{},{},{},{},{},{1},{2,3,4,5,7}}
{{},{},{},{},{},{},{1},{1,2,3,4,5,6}}
{{},{},{},{},{},{},{1},{2,3,4,5,6,7}}
{{},{},{},{},{},{},{1,2},{7}}
{{},{},{},{},{},{},{1,2},{1,2}}
{{},{},{},{},{},{},{1,2},{1,3}}
{{},{},{},{},{},{},{1,2},{3,4}}
{{},{},{},{},{},{},{1,2},{3,7}}
{{},{},{},{},{},{},{1,2},{1,2,3}}
{{},{},{},{},{},{},{1,2},{1,3,4}}
{{},{},{},{},{},{},{1,2},{3,4,5}}
{{},{},{},{},{},{},{1,2},{3,4,7}}
{{},{},{},{},{},{},{1,2},{1,2,3,4}}
{{},{},{},{},{},{},{1,2},{1,3,4,5}}
{{},{},{},{},{},{},{1,2},{3,4,5,6}}
{{},{},{},{},{},{},{1,2},{3,4,5,7}}
{{},{},{},{},{},{},{1,2},{1,2,3,4,5}}
{{},{},{},{},{},{},{1,2},{1,3,4,5,6}}
{{},{},{},{},{},{},{1,2},{3,4,5,6,7}}
{{},{},{},{},{},{},{1,2},{1,2,3,4,5,6}}
{{},{},{},{},{},{},{1,2,3},{7}}
{{},{},{},{},{},{},{1,2,3},{4,7}}
{{},{},{},{},{},{},{1,2,3},{1,2,3}}
{{},{},{},{},{},{},{1,2,3},{1,2,4}}
{{},{},{},{},{},{},{1,2,3},{1,4,5}}
{{},{},{},{},{},{},{1,2,3},{4,5,6}}
{{},{},{},{},{},{},{1,2,3},{4,5,7}}
{{},{},{},{},{},{},{1,2,3},{1,2,3,4}}
{{},{},{},{},{},{},{1,2,3},{1,2,4,5}}
{{},{},{},{},{},{},{1,2,3},{1,4,5,6}}
{{},{},{},{},{},{},{1,2,3},{4,5,6,7}}
{{},{},{},{},{},{},{1,2,3},{1,2,3,4,5}}
{{},{},{},{},{},{},{1,2,3},{1,2,4,5,6}}
{{},{},{},{},{},{},{1,2,3},{1,2,3,4,5,6}}
{{},{},{},{},{},{},{1,2,3,4},{7}}
{{},{},{},{},{},{},{1,2,3,4},{5,7}}
{{},{},{},{},{},{},{1,2,3,4},{5,6,7}}
{{},{},{},{},{},{},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{},{},{1,2,3,4},{1,2,3,5}}
{{},{},{},{},{},{},{1,2,3,4},{1,2,5,6}}
{{},{},{},{},{},{},{1,2,3,4},{1,2,3,4,5}}
{{},{},{},{},{},{},{1,2,3,4},{1,2,3,5,6}}
{{},{},{},{},{},{},{1,2,3,4},{1,2,3,4,5,6}}
{{},{},{},{},{},{},{1,2,3,4,5},{7}}
{{},{},{},{},{},{},{1,2,3,4,5},{6,7}}
{{},{},{},{},{},{},{1,2,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{},{1,2,3,4,5},{1,2,3,4,6}}
{{},{},{},{},{},{},{1,2,3,4,5},{1,2,3,4,5,6}}
{{},{},{},{},{},{},{1,2,3,4,5,6},{7}}
{{},{},{},{},{},{},{1,2,3,4,5,6},{1,2,3,4,5,6}}
{{},{},{},{},{},{1},{1},{1}}
{{},{},{},{},{},{1},{1},{2}}
{{},{},{},{},{},{1},{1},{6}}
{{},{},{},{},{},{1},{1},{1,2}}
{{},{},{},{},{},{1},{1},{2,3}}
{{},{},{},{},{},{1},{1},{2,6}}
{{},{},{},{},{},{1},{1},{6,7}}
{{},{},{},{},{},{1},{1},{1,2,3}}
{{},{},{},{},{},{1},{1},{2,3,4}}
{{},{},{},{},{},{1},{1},{2,3,6}}
{{},{},{},{},{},{1},{1},{2,6,7}}
{{},{},{},{},{},{1},{1},{1,2,3,4}}
{{},{},{},{},{},{1},{1},{2,3,4,5}}
{{},{},{},{},{},{1},{1},{2,3,4,6}}
{{},{},{},{},{},{1},{1},{2,3,6,7}}
{{},{},{},{},{},{1},{1},{1,2,3,4,5}}
{{},{},{},{},{},{1},{1},{2,3,4,5,6}}
{{},{},{},{},{},{1},{1},{2,3,4,6,7}}
{{},{},{},{},{},{1},{1},{2,3,4,5,6,7}}
{{},{},{},{},{},{1},{2},{3}}
{{},{},{},{},{},{1},{2},{6}}
{{},{},{},{},{},{1},{2},{1,2}}
{{},{},{},{},{},{1},{2},{1,3}}
{{},{},{},{},{},{1},{2},{1,7}}
{{},{},{},{},{},{1},{2},{3,4}}
{{},{},{},{},{},{1},{2},{3,6}}
{{},{},{},{},{},{1},{2},{6,7}}
{{},{},{},{},{},{1},{2},{1,2,3}}
{{},{},{},{},{},{1},{2},{1,3,4}}
{{},{},{},{},{},{1},{2},{1,3,7}}
{{},{},{},{},{},{1},{2},{3,4,5}}
{{},{},{},{},{},{1},{2},{3,4,6}}
{{},{},{},{},{},{1},{2},{3,6,7}}
{{},{},{},{},{},{1},{2},{1,2,3,4}}
{{},{},{},{},{},{1},{2},{1,3,4,5}}
{{},{},{},{},{},{1},{2},{1,3,4,7}}
{{},{},{},{},{},{1},{2},{3,4,5,6}}
{{},{},{},{},{},{1},{2},{3,4,6,7}}
{{},{},{},{},{},{1},{2},{1,2,3,4,5}}
{{},{},{},{},{},{1},{2},{1,3,4,5,7}}
{{},{},{},{},{},{1},{2},{3,4,5,6,7}}
{{},{},{},{},{},{1},{6},{6}}
{{},{},{},{},{},{1},{6},{7}}
{{},{},{},{},{},{1},{6},{1,2}}
{{},{},{},{},{},{1},{6},{2,3}}
{{},{},{},{},{},{1},{6},{2,6}}
{{},{},{},{},{},{1},{6},{2,7}}
{{},{},{},{},{},{1},{6},{1,2,3}}
{{},{},{},{},{},{1},{6},{2,3,4}}
{{},{},{},{},{},{1},{6},{2,3,6}}
{{},{},{},{},{},{1},{6},{2,3,7}}
{{},{},{},{},{},{1},{6},{1,2,3,4}}
{{},{},{},{},{},{1},{6},{2,3,4,5}}
{{},{},{},{},{},{1},{6},{2,3,4,6}}
{{},{},{},{},{},{1},{6},{2,3,4,7}}
{{},{},{},{},{},{1},{6},{1,2,3,4,5}}
{{},{},{},{},{},{1},{6},{2,3,4,5,6}}
{{},{},{},{},{},{1},{6},{2,3,4,5,7}}
{{},{},{},{},{},{1},{1,2},{7}}
{{},{},{},{},{},{1},{1,2},{1,2}}
{{},{},{},{},{},{1},{1,2},{1,3}}
{{},{},{},{},{},{1},{1,2},{2,3}}
{{},{},{},{},{},{1},{1,2},{2,6}}
{{},{},{},{},{},{1},{1,2},{3,4}}
{{},{},{},{},{},{1},{1,2},{3,6}}
{{},{},{},{},{},{1},{1,2},{3,7}}
{{},{},{},{},{},{1},{1,2},{6,7}}
{{},{},{},{},{},{1},{1,2},{1,2,3}}
{{},{},{},{},{},{1},{1,2},{1,3,4}}
{{},{},{},{},{},{1},{1,2},{2,3,4}}
{{},{},{},{},{},{1},{1,2},{2,3,6}}
{{},{},{},{},{},{1},{1,2},{3,4,5}}
{{},{},{},{},{},{1},{1,2},{3,4,6}}
{{},{},{},{},{},{1},{1,2},{3,4,7}}
{{},{},{},{},{},{1},{1,2},{3,6,7}}
{{},{},{},{},{},{1},{1,2},{1,2,3,4}}
{{},{},{},{},{},{1},{1,2},{1,3,4,5}}
{{},{},{},{},{},{1},{1,2},{2,3,4,5}}
{{},{},{},{},{},{1},{1,2},{2,3,4,6}}
{{},{},{},{},{},{1},{1,2},{3,4,5,6}}
{{},{},{},{},{},{1},{1,2},{3,4,5,7}}
{{},{},{},{},{},{1},{1,2},{3,4,6,7}}
{{},{},{},{},{},{1},{1,2},{1,2,3,4,5}}
{{},{},{},{},{},{1},{1,2},{2,3,4,5,6}}
{{},{},{},{},{},{1},{1,2},{3,4,5,6,7}}
{{},{},{},{},{},{1},{2,3},{7}}
{{},{},{},{},{},{1},{2,3},{1,7}}
{{},{},{},{},{},{1},{2,3},{2,3}}
{{},{},{},{},{},{1},{2,3},{2,4}}
{{},{},{},{},{},{1},{2,3},{2,6}}
{{},{},{},{},{},{1},{2,3},{4,5}}
{{},{},{},{},{},{1},{2,3},{4,6}}
{{},{},{},{},{},{1},{2,3},{4,7}}
{{},{},{},{},{},{1},{2,3},{6,7}}
{{},{},{},{},{},{1},{2,3},{1,2,3}}
{{},{},{},{},{},{1},{2,3},{1,2,4}}
{{},{},{},{},{},{1},{2,3},{1,4,5}}
{{},{},{},{},{},{1},{2,3},{1,4,7}}
{{},{},{},{},{},{1},{2,3},{2,3,4}}
{{},{},{},{},{},{1},{2,3},{2,3,6}}
{{},{},{},{},{},{1},{2,3},{2,4,5}}
{{},{},{},{},{},{1},{2,3},{2,4,6}}
{{},{},{},{},{},{1},{2,3},{4,5,6}}
{{},{},{},{},{},{1},{2,3},{4,5,7}}
{{},{},{},{},{},{1},{2,3},{4,6,7}}
{{},{},{},{},{},{1},{2,3},{1,2,3,4}}
{{},{},{},{},{},{1},{2,3},{1,2,4,5}}
{{},{},{},{},{},{1},{2,3},{1,4,5,7}}
{{},{},{},{},{},{1},{2,3},{2,3,4,5}}
{{},{},{},{},{},{1},{2,3},{2,3,4,6}}
{{},{},{},{},{},{1},{2,3},{2,4,5,6}}
{{},{},{},{},{},{1},{2,3},{4,5,6,7}}
{{},{},{},{},{},{1},{2,3},{1,2,3,4,5}}
{{},{},{},{},{},{1},{2,3},{2,3,4,5,6}}
{{},{},{},{},{},{1},{2,6},{7}}
{{},{},{},{},{},{1},{2,6},{2,6}}
{{},{},{},{},{},{1},{2,6},{3,6}}
{{},{},{},{},{},{1},{2,6},{3,7}}
{{},{},{},{},{},{1},{2,6},{1,2,3}}
{{},{},{},{},{},{1},{2,6},{1,3,4}}
{{},{},{},{},{},{1},{2,6},{2,3,4}}
{{},{},{},{},{},{1},{2,6},{2,3,6}}
{{},{},{},{},{},{1},{2,6},{3,4,5}}
{{},{},{},{},{},{1},{2,6},{3,4,6}}
{{},{},{},{},{},{1},{2,6},{3,4,7}}
{{},{},{},{},{},{1},{2,6},{1,2,3,4}}
{{},{},{},{},{},{1},{2,6},{1,3,4,5}}
{{},{},{},{},{},{1},{2,6},{2,3,4,5}}
{{},{},{},{},{},{1},{2,6},{2,3,4,6}}
{{},{},{},{},{},{1},{2,6},{3,4,5,6}}
{{},{},{},{},{},{1},{2,6},{3,4,5,7}}
{{},{},{},{},{},{1},{2,6},{1,2,3,4,5}}
{{},{},{},{},{},{1},{2,6},{2,3,4,5,6}}
{{},{},{},{},{},{1},{1,2,3},{7}}
{{},{},{},{},{},{1},{1,2,3},{4,7}}
{{},{},{},{},{},{1},{1,2,3},{6,7}}
{{},{},{},{},{},{1},{1,2,3},{1,2,3}}
{{},{},{},{},{},{1},{1,2,3},{1,2,4}}
{{},{},{},{},{},{1},{1,2,3},{1,4,5}}
{{},{},{},{},{},{1},{1,2,3},{2,3,4}}
{{},{},{},{},{},{1},{1,2,3},{2,3,6}}
{{},{},{},{},{},{1},{1,2,3},{2,4,5}}
{{},{},{},{},{},{1},{1,2,3},{2,4,6}}
{{},{},{},{},{},{1},{1,2,3},{4,5,6}}
{{},{},{},{},{},{1},{1,2,3},{4,5,7}}
{{},{},{},{},{},{1},{1,2,3},{4,6,7}}
{{},{},{},{},{},{1},{1,2,3},{1,2,3,4}}
{{},{},{},{},{},{1},{1,2,3},{1,2,4,5}}
{{},{},{},{},{},{1},{1,2,3},{2,3,4,5}}
{{},{},{},{},{},{1},{1,2,3},{2,3,4,6}}
{{},{},{},{},{},{1},{1,2,3},{2,4,5,6}}
{{},{},{},{},{},{1},{1,2,3},{4,5,6,7}}
{{},{},{},{},{},{1},{1,2,3},{1,2,3,4,5}}
{{},{},{},{},{},{1},{1,2,3},{2,3,4,5,6}}
{{},{},{},{},{},{1},{2,3,4},{7}}
{{},{},{},{},{},{1},{2,3,4},{1,7}}
{{},{},{},{},{},{1},{2,3,4},{5,7}}
{{},{},{},{},{},{1},{2,3,4},{6,7}}
{{},{},{},{},{},{1},{2,3,4},{1,5,7}}
{{},{},{},{},{},{1},{2,3,4},{2,3,4}}
{{},{},{},{},{},{1},{2,3,4},{2,3,5}}
{{},{},{},{},{},{1},{2,3,4},{2,3,6}}
{{},{},{},{},{},{1},{2,3,4},{2,5,6}}
{{},{},{},{},{},{1},{2,3,4},{5,6,7}}
{{},{},{},{},{},{1},{2,3,4},{1,2,3,4}}
{{},{},{},{},{},{1},{2,3,4},{1,2,3,5}}
{{},{},{},{},{},{1},{2,3,4},{2,3,4,5}}
{{},{},{},{},{},{1},{2,3,4},{2,3,4,6}}
{{},{},{},{},{},{1},{2,3,4},{2,3,5,6}}
{{},{},{},{},{},{1},{2,3,4},{1,2,3,4,5}}
{{},{},{},{},{},{1},{2,3,4},{2,3,4,5,6}}
{{},{},{},{},{},{1},{2,3,6},{7}}
{{},{},{},{},{},{1},{2,3,6},{4,7}}
{{},{},{},{},{},{1},{2,3,6},{2,3,6}}
{{},{},{},{},{},{1},{2,3,6},{2,4,6}}
{{},{},{},{},{},{1},{2,3,6},{4,5,6}}
{{},{},{},{},{},{1},{2,3,6},{4,5,7}}
{{},{},{},{},{},{1},{2,3,6},{1,2,3,4}}
{{},{},{},{},{},{1},{2,3,6},{1,2,4,5}}
{{},{},{},{},{},{1},{2,3,6},{2,3,4,5}}
{{},{},{},{},{},{1},{2,3,6},{2,3,4,6}}
{{},{},{},{},{},{1},{2,3,6},{2,4,5,6}}
{{},{},{},{},{},{1},{2,3,6},{1,2,3,4,5}}
{{},{},{},{},{},{1},{2,3,6},{2,3,4,5,6}}
{{},{},{},{},{},{1},{1,2,3,4},{7}}
{{},{},{},{},{},{1},{1,2,3,4},{5,7}}
{{},{},{},{},{},{1},{1,2,3,4},{6,7}}
{{},{},{},{},{},{1},{1,2,3,4},{5,6,7}}
{{},{},{},{},{},{1},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{},{1},{1,2,3,4},{1,2,3,5}}
{{},{},{},{},{},{1},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{},{1},{1,2,3,4},{2,3,4,6}}
{{},{},{},{},{},{1},{1,2,3,4},{2,3,5,6}}
{{},{},{},{},{},{1},{1,2,3,4},{1,2,3,4,5}}
{{},{},{},{},{},{1},{1,2,3,4},{2,3,4,5,6}}
{{},{},{},{},{},{1},{2,3,4,5},{7}}
{{},{},{},{},{},{1},{2,3,4,5},{1,7}}
{{},{},{},{},{},{1},{2,3,4,5},{6,7}}
{{},{},{},{},{},{1},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{},{1},{2,3,4,5},{2,3,4,6}}
{{},{},{},{},{},{1},{2,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1},{2,3,4,5},{2,3,4,5,6}}
{{},{},{},{},{},{1},{2,3,4,6},{7}}
{{},{},{},{},{},{1},{2,3,4,6},{5,7}}
{{},{},{},{},{},{1},{2,3,4,6},{2,3,4,6}}
{{},{},{},{},{},{1},{2,3,4,6},{2,3,5,6}}
{{},{},{},{},{},{1},{2,3,4,6},{1,2,3,4,5}}
{{},{},{},{},{},{1},{2,3,4,6},{2,3,4,5,6}}
{{},{},{},{},{},{1},{1,2,3,4,5},{7}}
{{},{},{},{},{},{1},{1,2,3,4,5},{6,7}}
{{},{},{},{},{},{1},{1,2,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1},{1,2,3,4,5},{2,3,4,5,6}}
{{},{},{},{},{},{1},{2,3,4,5,6},{7}}
{{},{},{},{},{},{1},{2,3,4,5,6},{2,3,4,5,6}}
{{},{},{},{},{},{1,2},{6},{6}}
{{},{},{},{},{},{1,2},{6},{7}}
{{},{},{},{},{},{1,2},{6},{1,2}}
{{},{},{},{},{},{1,2},{6},{1,3}}
{{},{},{},{},{},{1,2},{6},{3,4}}
{{},{},{},{},{},{1,2},{6},{3,6}}
{{},{},{},{},{},{1,2},{6},{3,7}}
{{},{},{},{},{},{1,2},{6},{1,2,3}}
{{},{},{},{},{},{1,2},{6},{1,3,4}}
{{},{},{},{},{},{1,2},{6},{3,4,5}}
{{},{},{},{},{},{1,2},{6},{3,4,6}}
{{},{},{},{},{},{1,2},{6},{3,4,7}}
{{},{},{},{},{},{1,2},{6},{1,2,3,4}}
{{},{},{},{},{},{1,2},{6},{1,3,4,5}}
{{},{},{},{},{},{1,2},{6},{3,4,5,6}}
{{},{},{},{},{},{1,2},{6},{3,4,5,7}}
{{},{},{},{},{},{1,2},{6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{1,2},{1,2}}
{{},{},{},{},{},{1,2},{1,2},{1,3}}
{{},{},{},{},{},{1,2},{1,2},{3,4}}
{{},{},{},{},{},{1,2},{1,2},{3,6}}
{{},{},{},{},{},{1,2},{1,2},{6,7}}
{{},{},{},{},{},{1,2},{1,2},{1,2,3}}
{{},{},{},{},{},{1,2},{1,2},{1,3,4}}
{{},{},{},{},{},{1,2},{1,2},{3,4,5}}
{{},{},{},{},{},{1,2},{1,2},{3,4,6}}
{{},{},{},{},{},{1,2},{1,2},{3,6,7}}
{{},{},{},{},{},{1,2},{1,2},{1,2,3,4}}
{{},{},{},{},{},{1,2},{1,2},{1,3,4,5}}
{{},{},{},{},{},{1,2},{1,2},{3,4,5,6}}
{{},{},{},{},{},{1,2},{1,2},{3,4,6,7}}
{{},{},{},{},{},{1,2},{1,2},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{},{},{},{1,2},{1,3},{1,4}}
{{},{},{},{},{},{1,2},{1,3},{2,3}}
{{},{},{},{},{},{1,2},{1,3},{2,4}}
{{},{},{},{},{},{1,2},{1,3},{2,7}}
{{},{},{},{},{},{1,2},{1,3},{4,5}}
{{},{},{},{},{},{1,2},{1,3},{4,6}}
{{},{},{},{},{},{1,2},{1,3},{6,7}}
{{},{},{},{},{},{1,2},{1,3},{1,2,3}}
{{},{},{},{},{},{1,2},{1,3},{1,2,4}}
{{},{},{},{},{},{1,2},{1,3},{1,4,5}}
{{},{},{},{},{},{1,2},{1,3},{2,3,4}}
{{},{},{},{},{},{1,2},{1,3},{2,4,5}}
{{},{},{},{},{},{1,2},{1,3},{2,4,7}}
{{},{},{},{},{},{1,2},{1,3},{4,5,6}}
{{},{},{},{},{},{1,2},{1,3},{4,6,7}}
{{},{},{},{},{},{1,2},{1,3},{1,2,3,4}}
{{},{},{},{},{},{1,2},{1,3},{1,2,4,5}}
{{},{},{},{},{},{1,2},{1,3},{2,3,4,5}}
{{},{},{},{},{},{1,2},{1,3},{2,4,5,7}}
{{},{},{},{},{},{1,2},{1,3},{4,5,6,7}}
{{},{},{},{},{},{1,2},{1,3},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{3,4},{1,7}}
{{},{},{},{},{},{1,2},{3,4},{5,6}}
{{},{},{},{},{},{1,2},{3,4},{6,7}}
{{},{},{},{},{},{1,2},{3,4},{1,2,3}}
{{},{},{},{},{},{1,2},{3,4},{1,2,5}}
{{},{},{},{},{},{1,2},{3,4},{1,2,7}}
{{},{},{},{},{},{1,2},{3,4},{1,3,5}}
{{},{},{},{},{},{1,2},{3,4},{1,5,7}}
{{},{},{},{},{},{1,2},{3,4},{5,6,7}}
{{},{},{},{},{},{1,2},{3,4},{1,2,3,4}}
{{},{},{},{},{},{1,2},{3,4},{1,2,3,5}}
{{},{},{},{},{},{1,2},{3,4},{1,2,5,7}}
{{},{},{},{},{},{1,2},{3,4},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{3,6},{7}}
{{},{},{},{},{},{1,2},{3,6},{3,6}}
{{},{},{},{},{},{1,2},{3,6},{4,6}}
{{},{},{},{},{},{1,2},{3,6},{4,7}}
{{},{},{},{},{},{1,2},{3,6},{1,2,3}}
{{},{},{},{},{},{1,2},{3,6},{1,2,4}}
{{},{},{},{},{},{1,2},{3,6},{1,3,4}}
{{},{},{},{},{},{1,2},{3,6},{1,4,5}}
{{},{},{},{},{},{1,2},{3,6},{3,4,5}}
{{},{},{},{},{},{1,2},{3,6},{3,4,6}}
{{},{},{},{},{},{1,2},{3,6},{4,5,6}}
{{},{},{},{},{},{1,2},{3,6},{4,5,7}}
{{},{},{},{},{},{1,2},{3,6},{1,2,3,4}}
{{},{},{},{},{},{1,2},{3,6},{1,2,4,5}}
{{},{},{},{},{},{1,2},{3,6},{1,3,4,5}}
{{},{},{},{},{},{1,2},{3,6},{3,4,5,6}}
{{},{},{},{},{},{1,2},{3,6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{1,2,3},{7}}
{{},{},{},{},{},{1,2},{1,2,3},{4,7}}
{{},{},{},{},{},{1,2},{1,2,3},{6,7}}
{{},{},{},{},{},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{},{},{1,2},{1,2,3},{1,2,4}}
{{},{},{},{},{},{1,2},{1,2,3},{1,3,4}}
{{},{},{},{},{},{1,2},{1,2,3},{1,4,5}}
{{},{},{},{},{},{1,2},{1,2,3},{3,4,5}}
{{},{},{},{},{},{1,2},{1,2,3},{3,4,6}}
{{},{},{},{},{},{1,2},{1,2,3},{4,5,6}}
{{},{},{},{},{},{1,2},{1,2,3},{4,5,7}}
{{},{},{},{},{},{1,2},{1,2,3},{4,6,7}}
{{},{},{},{},{},{1,2},{1,2,3},{1,2,3,4}}
{{},{},{},{},{},{1,2},{1,2,3},{1,2,4,5}}
{{},{},{},{},{},{1,2},{1,2,3},{1,3,4,5}}
{{},{},{},{},{},{1,2},{1,2,3},{3,4,5,6}}
{{},{},{},{},{},{1,2},{1,2,3},{4,5,6,7}}
{{},{},{},{},{},{1,2},{1,2,3},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{1,3,4},{7}}
{{},{},{},{},{},{1,2},{1,3,4},{2,7}}
{{},{},{},{},{},{1,2},{1,3,4},{5,7}}
{{},{},{},{},{},{1,2},{1,3,4},{6,7}}
{{},{},{},{},{},{1,2},{1,3,4},{1,3,4}}
{{},{},{},{},{},{1,2},{1,3,4},{1,3,5}}
{{},{},{},{},{},{1,2},{1,3,4},{2,3,4}}
{{},{},{},{},{},{1,2},{1,3,4},{2,3,5}}
{{},{},{},{},{},{1,2},{1,3,4},{2,5,7}}
{{},{},{},{},{},{1,2},{1,3,4},{3,4,5}}
{{},{},{},{},{},{1,2},{1,3,4},{3,4,6}}
{{},{},{},{},{},{1,2},{1,3,4},{3,5,6}}
{{},{},{},{},{},{1,2},{1,3,4},{5,6,7}}
{{},{},{},{},{},{1,2},{1,3,4},{1,2,3,4}}
{{},{},{},{},{},{1,2},{1,3,4},{1,2,3,5}}
{{},{},{},{},{},{1,2},{1,3,4},{1,3,4,5}}
{{},{},{},{},{},{1,2},{1,3,4},{2,3,4,5}}
{{},{},{},{},{},{1,2},{1,3,4},{3,4,5,6}}
{{},{},{},{},{},{1,2},{1,3,4},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{3,4,5},{7}}
{{},{},{},{},{},{1,2},{3,4,5},{1,7}}
{{},{},{},{},{},{1,2},{3,4,5},{6,7}}
{{},{},{},{},{},{1,2},{3,4,5},{1,2,7}}
{{},{},{},{},{},{1,2},{3,4,5},{3,4,5}}
{{},{},{},{},{},{1,2},{3,4,5},{3,4,6}}
{{},{},{},{},{},{1,2},{3,4,5},{1,2,3,4}}
{{},{},{},{},{},{1,2},{3,4,5},{1,3,4,5}}
{{},{},{},{},{},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{},{},{},{1,2},{3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{3,4,6},{7}}
{{},{},{},{},{},{1,2},{3,4,6},{5,7}}
{{},{},{},{},{},{1,2},{3,4,6},{3,4,6}}
{{},{},{},{},{},{1,2},{3,4,6},{3,5,6}}
{{},{},{},{},{},{1,2},{3,4,6},{1,2,3,4}}
{{},{},{},{},{},{1,2},{3,4,6},{1,2,3,5}}
{{},{},{},{},{},{1,2},{3,4,6},{1,3,4,5}}
{{},{},{},{},{},{1,2},{3,4,6},{3,4,5,6}}
{{},{},{},{},{},{1,2},{3,4,6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{1,2,3,4},{7}}
{{},{},{},{},{},{1,2},{1,2,3,4},{5,7}}
{{},{},{},{},{},{1,2},{1,2,3,4},{6,7}}
{{},{},{},{},{},{1,2},{1,2,3,4},{5,6,7}}
{{},{},{},{},{},{1,2},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{},{1,2},{1,2,3,4},{1,2,3,5}}
{{},{},{},{},{},{1,2},{1,2,3,4},{1,3,4,5}}
{{},{},{},{},{},{1,2},{1,2,3,4},{3,4,5,6}}
{{},{},{},{},{},{1,2},{1,2,3,4},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{1,3,4,5},{7}}
{{},{},{},{},{},{1,2},{1,3,4,5},{2,7}}
{{},{},{},{},{},{1,2},{1,3,4,5},{6,7}}
{{},{},{},{},{},{1,2},{1,3,4,5},{1,3,4,5}}
{{},{},{},{},{},{1,2},{1,3,4,5},{2,3,4,5}}
{{},{},{},{},{},{1,2},{1,3,4,5},{3,4,5,6}}
{{},{},{},{},{},{1,2},{1,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{3,4,5,6},{7}}
{{},{},{},{},{},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{},{},{1,2},{3,4,5,6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2},{1,2,3,4,5},{7}}
{{},{},{},{},{},{1,2},{1,2,3,4,5},{6,7}}
{{},{},{},{},{},{1,2},{1,2,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{6},{6}}
{{},{},{},{},{},{1,2,3},{6},{7}}
{{},{},{},{},{},{1,2,3},{6},{4,6}}
{{},{},{},{},{},{1,2,3},{6},{4,7}}
{{},{},{},{},{},{1,2,3},{6},{1,2,3}}
{{},{},{},{},{},{1,2,3},{6},{1,2,4}}
{{},{},{},{},{},{1,2,3},{6},{1,4,5}}
{{},{},{},{},{},{1,2,3},{6},{4,5,6}}
{{},{},{},{},{},{1,2,3},{6},{4,5,7}}
{{},{},{},{},{},{1,2,3},{6},{1,2,3,4}}
{{},{},{},{},{},{1,2,3},{6},{1,2,4,5}}
{{},{},{},{},{},{1,2,3},{6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{4,6},{7}}
{{},{},{},{},{},{1,2,3},{4,6},{4,6}}
{{},{},{},{},{},{1,2,3},{4,6},{5,6}}
{{},{},{},{},{},{1,2,3},{4,6},{5,7}}
{{},{},{},{},{},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{},{},{1,2,3},{4,6},{1,2,4}}
{{},{},{},{},{},{1,2,3},{4,6},{1,2,5}}
{{},{},{},{},{},{1,2,3},{4,6},{1,4,5}}
{{},{},{},{},{},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{},{},{1,2,3},{4,6},{1,2,3,4}}
{{},{},{},{},{},{1,2,3},{4,6},{1,2,3,5}}
{{},{},{},{},{},{1,2,3},{4,6},{1,2,4,5}}
{{},{},{},{},{},{1,2,3},{4,6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{},{},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{},{},{1,2,3},{1,2,3},{1,2,4}}
{{},{},{},{},{},{1,2,3},{1,2,3},{1,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{},{},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{},{},{1,2,3},{1,2,3},{1,2,3,4}}
{{},{},{},{},{},{1,2,3},{1,2,3},{1,2,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{},{},{1,2,3},{1,2,3},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,4},{6,7}}
{{},{},{},{},{},{1,2,3},{1,2,4},{1,2,5}}
{{},{},{},{},{},{1,2,3},{1,2,4},{1,3,4}}
{{},{},{},{},{},{1,2,3},{1,2,4},{1,3,5}}
{{},{},{},{},{},{1,2,3},{1,2,4},{3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,4},{3,5,7}}
{{},{},{},{},{},{1,2,3},{1,2,4},{5,6,7}}
{{},{},{},{},{},{1,2,3},{1,2,4},{1,2,3,4}}
{{},{},{},{},{},{1,2,3},{1,2,4},{1,2,3,5}}
{{},{},{},{},{},{1,2,3},{1,2,4},{1,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,4},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,4,5},{6,7}}
{{},{},{},{},{},{1,2,3},{1,4,5},{2,3,7}}
{{},{},{},{},{},{1,2,3},{1,4,5},{1,2,3,4}}
{{},{},{},{},{},{1,2,3},{1,4,5},{2,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{4,5,6},{7}}
{{},{},{},{},{},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{},{},{1,2,3},{4,5,6},{1,2,3,4}}
{{},{},{},{},{},{1,2,3},{4,5,6},{1,2,4,5}}
{{},{},{},{},{},{1,2,3},{4,5,6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{7}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{5,7}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{6,7}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{5,6,7}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{1,2,3,5}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{1,2,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,3,4},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,4,5},{7}}
{{},{},{},{},{},{1,2,3},{1,2,4,5},{3,7}}
{{},{},{},{},{},{1,2,3},{1,2,4,5},{6,7}}
{{},{},{},{},{},{1,2,3},{1,2,4,5},{1,2,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,4,5},{1,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3},{1,2,3,4,5},{7}}
{{},{},{},{},{},{1,2,3},{1,2,3,4,5},{6,7}}
{{},{},{},{},{},{1,2,3},{1,2,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3,4},{6},{6}}
{{},{},{},{},{},{1,2,3,4},{6},{7}}
{{},{},{},{},{},{1,2,3,4},{6},{5,6}}
{{},{},{},{},{},{1,2,3,4},{6},{5,7}}
{{},{},{},{},{},{1,2,3,4},{6},{1,2,3,4}}
{{},{},{},{},{},{1,2,3,4},{6},{1,2,3,5}}
{{},{},{},{},{},{1,2,3,4},{6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3,4},{5,6},{7}}
{{},{},{},{},{},{1,2,3,4},{5,6},{5,6}}
{{},{},{},{},{},{1,2,3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{},{1,2,3,4},{5,6},{1,2,3,5}}
{{},{},{},{},{},{1,2,3,4},{5,6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4},{6,7}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4},{1,2,3,5}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,5},{6,7}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,5},{1,2,4,5}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4,5},{7}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4,5},{6,7}}
{{},{},{},{},{},{1,2,3,4},{1,2,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3,4,5},{6},{6}}
{{},{},{},{},{},{1,2,3,4,5},{6},{7}}
{{},{},{},{},{},{1,2,3,4,5},{6},{1,2,3,4,5}}
{{},{},{},{},{},{1,2,3,4,5},{1,2,3,4,5},{6,7}}
{{},{},{},{},{},{1,2,3,4,5},{1,2,3,4,5},{1,2,3,4,5}}
{{},{},{},{},{1},{1},{1},{1}}
{{},{},{},{},{1},{1},{1},{2}}
{{},{},{},{},{1},{1},{1},{5}}
{{},{},{},{},{1},{1},{1},{1,2}}
{{},{},{},{},{1},{1},{1},{2,3}}
{{},{},{},{},{1},{1},{1},{2,5}}
{{},{},{},{},{1},{1},{1},{5,6}}
{{},{},{},{},{1},{1},{1},{1,2,3}}
{{},{},{},{},{1},{1},{1},{2,3,4}}
{{},{},{},{},{1},{1},{1},{2,3,5}}
{{},{},{},{},{1},{1},{1},{2,5,6}}
{{},{},{},{},{1},{1},{1},{5,6,7}}
{{},{},{},{},{1},{1},{1},{1,2,3,4}}
{{},{},{},{},{1},{1},{1},{2,3,4,5}}
{{},{},{},{},{1},{1},{1},{2,3,5,6}}
{{},{},{},{},{1},{1},{1},{2,5,6,7}}
{{},{},{},{},{1},{1},{1},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{1},{2,3,5,6,7}}
{{},{},{},{},{1},{1},{1},{2,3,4,5,6,7}}
{{},{},{},{},{1},{1},{2},{2}}
{{},{},{},{},{1},{1},{2},{3}}
{{},{},{},{},{1},{1},{2},{5}}
{{},{},{},{},{1},{1},{2},{7}}
{{},{},{},{},{1},{1},{2},{1,2}}
{{},{},{},{},{1},{1},{2},{1,3}}
{{},{},{},{},{1},{1},{2},{1,7}}
{{},{},{},{},{1},{1},{2},{2,3}}
{{},{},{},{},{1},{1},{2},{2,5}}
{{},{},{},{},{1},{1},{2},{3,4}}
{{},{},{},{},{1},{1},{2},{3,5}}
{{},{},{},{},{1},{1},{2},{3,7}}
{{},{},{},{},{1},{1},{2},{5,6}}
{{},{},{},{},{1},{1},{2},{5,7}}
{{},{},{},{},{1},{1},{2},{1,2,3}}
{{},{},{},{},{1},{1},{2},{1,3,4}}
{{},{},{},{},{1},{1},{2},{1,3,7}}
{{},{},{},{},{1},{1},{2},{2,3,4}}
{{},{},{},{},{1},{1},{2},{2,3,5}}
{{},{},{},{},{1},{1},{2},{2,5,6}}
{{},{},{},{},{1},{1},{2},{3,4,5}}
{{},{},{},{},{1},{1},{2},{3,4,7}}
{{},{},{},{},{1},{1},{2},{3,5,6}}
{{},{},{},{},{1},{1},{2},{3,5,7}}
{{},{},{},{},{1},{1},{2},{5,6,7}}
{{},{},{},{},{1},{1},{2},{1,2,3,4}}
{{},{},{},{},{1},{1},{2},{1,3,4,7}}
{{},{},{},{},{1},{1},{2},{2,3,4,5}}
{{},{},{},{},{1},{1},{2},{2,3,5,6}}
{{},{},{},{},{1},{1},{2},{3,4,5,6}}
{{},{},{},{},{1},{1},{2},{3,4,5,7}}
{{},{},{},{},{1},{1},{2},{3,5,6,7}}
{{},{},{},{},{1},{1},{2},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2},{3,4,5,6,7}}
{{},{},{},{},{1},{1},{5},{5}}
{{},{},{},{},{1},{1},{5},{6}}
{{},{},{},{},{1},{1},{5},{7}}
{{},{},{},{},{1},{1},{5},{1,2}}
{{},{},{},{},{1},{1},{5},{2,3}}
{{},{},{},{},{1},{1},{5},{2,5}}
{{},{},{},{},{1},{1},{5},{2,6}}
{{},{},{},{},{1},{1},{5},{2,7}}
{{},{},{},{},{1},{1},{5},{5,6}}
{{},{},{},{},{1},{1},{5},{6,7}}
{{},{},{},{},{1},{1},{5},{1,2,3}}
{{},{},{},{},{1},{1},{5},{2,3,4}}
{{},{},{},{},{1},{1},{5},{2,3,5}}
{{},{},{},{},{1},{1},{5},{2,3,6}}
{{},{},{},{},{1},{1},{5},{2,3,7}}
{{},{},{},{},{1},{1},{5},{2,5,6}}
{{},{},{},{},{1},{1},{5},{2,6,7}}
{{},{},{},{},{1},{1},{5},{1,2,3,4}}
{{},{},{},{},{1},{1},{5},{2,3,4,5}}
{{},{},{},{},{1},{1},{5},{2,3,4,6}}
{{},{},{},{},{1},{1},{5},{2,3,4,7}}
{{},{},{},{},{1},{1},{5},{2,3,5,6}}
{{},{},{},{},{1},{1},{5},{2,3,6,7}}
{{},{},{},{},{1},{1},{5},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{5},{2,3,4,6,7}}
{{},{},{},{},{1},{1},{1,2},{7}}
{{},{},{},{},{1},{1},{1,2},{1,2}}
{{},{},{},{},{1},{1},{1,2},{1,3}}
{{},{},{},{},{1},{1},{1,2},{2,3}}
{{},{},{},{},{1},{1},{1,2},{2,5}}
{{},{},{},{},{1},{1},{1,2},{3,4}}
{{},{},{},{},{1},{1},{1,2},{3,5}}
{{},{},{},{},{1},{1},{1,2},{3,7}}
{{},{},{},{},{1},{1},{1,2},{5,6}}
{{},{},{},{},{1},{1},{1,2},{5,7}}
{{},{},{},{},{1},{1},{1,2},{1,2,3}}
{{},{},{},{},{1},{1},{1,2},{1,3,4}}
{{},{},{},{},{1},{1},{1,2},{2,3,4}}
{{},{},{},{},{1},{1},{1,2},{2,3,5}}
{{},{},{},{},{1},{1},{1,2},{2,5,6}}
{{},{},{},{},{1},{1},{1,2},{3,4,5}}
{{},{},{},{},{1},{1},{1,2},{3,4,7}}
{{},{},{},{},{1},{1},{1,2},{3,5,6}}
{{},{},{},{},{1},{1},{1,2},{3,5,7}}
{{},{},{},{},{1},{1},{1,2},{5,6,7}}
{{},{},{},{},{1},{1},{1,2},{1,2,3,4}}
{{},{},{},{},{1},{1},{1,2},{2,3,4,5}}
{{},{},{},{},{1},{1},{1,2},{2,3,5,6}}
{{},{},{},{},{1},{1},{1,2},{3,4,5,6}}
{{},{},{},{},{1},{1},{1,2},{3,4,5,7}}
{{},{},{},{},{1},{1},{1,2},{3,5,6,7}}
{{},{},{},{},{1},{1},{1,2},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{1,2},{3,4,5,6,7}}
{{},{},{},{},{1},{1},{2,3},{7}}
{{},{},{},{},{1},{1},{2,3},{1,7}}
{{},{},{},{},{1},{1},{2,3},{2,3}}
{{},{},{},{},{1},{1},{2,3},{2,4}}
{{},{},{},{},{1},{1},{2,3},{2,5}}
{{},{},{},{},{1},{1},{2,3},{4,5}}
{{},{},{},{},{1},{1},{2,3},{4,7}}
{{},{},{},{},{1},{1},{2,3},{5,6}}
{{},{},{},{},{1},{1},{2,3},{5,7}}
{{},{},{},{},{1},{1},{2,3},{1,2,3}}
{{},{},{},{},{1},{1},{2,3},{1,2,4}}
{{},{},{},{},{1},{1},{2,3},{1,4,7}}
{{},{},{},{},{1},{1},{2,3},{2,3,4}}
{{},{},{},{},{1},{1},{2,3},{2,3,5}}
{{},{},{},{},{1},{1},{2,3},{2,4,5}}
{{},{},{},{},{1},{1},{2,3},{2,5,6}}
{{},{},{},{},{1},{1},{2,3},{4,5,6}}
{{},{},{},{},{1},{1},{2,3},{4,5,7}}
{{},{},{},{},{1},{1},{2,3},{5,6,7}}
{{},{},{},{},{1},{1},{2,3},{1,2,3,4}}
{{},{},{},{},{1},{1},{2,3},{2,3,4,5}}
{{},{},{},{},{1},{1},{2,3},{2,3,5,6}}
{{},{},{},{},{1},{1},{2,3},{2,4,5,6}}
{{},{},{},{},{1},{1},{2,3},{4,5,6,7}}
{{},{},{},{},{1},{1},{2,3},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2,5},{7}}
{{},{},{},{},{1},{1},{2,5},{2,5}}
{{},{},{},{},{1},{1},{2,5},{2,6}}
{{},{},{},{},{1},{1},{2,5},{3,5}}
{{},{},{},{},{1},{1},{2,5},{3,6}}
{{},{},{},{},{1},{1},{2,5},{3,7}}
{{},{},{},{},{1},{1},{2,5},{5,6}}
{{},{},{},{},{1},{1},{2,5},{6,7}}
{{},{},{},{},{1},{1},{2,5},{1,2,3}}
{{},{},{},{},{1},{1},{2,5},{1,3,4}}
{{},{},{},{},{1},{1},{2,5},{2,3,4}}
{{},{},{},{},{1},{1},{2,5},{2,3,5}}
{{},{},{},{},{1},{1},{2,5},{2,3,6}}
{{},{},{},{},{1},{1},{2,5},{2,5,6}}
{{},{},{},{},{1},{1},{2,5},{3,4,5}}
{{},{},{},{},{1},{1},{2,5},{3,4,6}}
{{},{},{},{},{1},{1},{2,5},{3,4,7}}
{{},{},{},{},{1},{1},{2,5},{3,5,6}}
{{},{},{},{},{1},{1},{2,5},{3,6,7}}
{{},{},{},{},{1},{1},{2,5},{1,2,3,4}}
{{},{},{},{},{1},{1},{2,5},{2,3,4,5}}
{{},{},{},{},{1},{1},{2,5},{2,3,4,6}}
{{},{},{},{},{1},{1},{2,5},{2,3,5,6}}
{{},{},{},{},{1},{1},{2,5},{3,4,5,6}}
{{},{},{},{},{1},{1},{2,5},{3,4,6,7}}
{{},{},{},{},{1},{1},{2,5},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{5,6},{7}}
{{},{},{},{},{1},{1},{5,6},{2,7}}
{{},{},{},{},{1},{1},{5,6},{5,6}}
{{},{},{},{},{1},{1},{5,6},{1,2,3}}
{{},{},{},{},{1},{1},{5,6},{2,3,4}}
{{},{},{},{},{1},{1},{5,6},{2,3,5}}
{{},{},{},{},{1},{1},{5,6},{2,3,7}}
{{},{},{},{},{1},{1},{5,6},{2,5,6}}
{{},{},{},{},{1},{1},{5,6},{1,2,3,4}}
{{},{},{},{},{1},{1},{5,6},{2,3,4,5}}
{{},{},{},{},{1},{1},{5,6},{2,3,4,7}}
{{},{},{},{},{1},{1},{5,6},{2,3,5,6}}
{{},{},{},{},{1},{1},{5,6},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{1,2,3},{7}}
{{},{},{},{},{1},{1},{1,2,3},{4,7}}
{{},{},{},{},{1},{1},{1,2,3},{5,7}}
{{},{},{},{},{1},{1},{1,2,3},{1,2,3}}
{{},{},{},{},{1},{1},{1,2,3},{1,2,4}}
{{},{},{},{},{1},{1},{1,2,3},{2,3,4}}
{{},{},{},{},{1},{1},{1,2,3},{2,3,5}}
{{},{},{},{},{1},{1},{1,2,3},{2,4,5}}
{{},{},{},{},{1},{1},{1,2,3},{2,5,6}}
{{},{},{},{},{1},{1},{1,2,3},{4,5,6}}
{{},{},{},{},{1},{1},{1,2,3},{4,5,7}}
{{},{},{},{},{1},{1},{1,2,3},{5,6,7}}
{{},{},{},{},{1},{1},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1},{1},{1,2,3},{2,3,4,5}}
{{},{},{},{},{1},{1},{1,2,3},{2,3,5,6}}
{{},{},{},{},{1},{1},{1,2,3},{2,4,5,6}}
{{},{},{},{},{1},{1},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1},{1},{1,2,3},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2,3,4},{7}}
{{},{},{},{},{1},{1},{2,3,4},{1,7}}
{{},{},{},{},{1},{1},{2,3,4},{5,7}}
{{},{},{},{},{1},{1},{2,3,4},{2,3,4}}
{{},{},{},{},{1},{1},{2,3,4},{2,3,5}}
{{},{},{},{},{1},{1},{2,3,4},{2,5,6}}
{{},{},{},{},{1},{1},{2,3,4},{5,6,7}}
{{},{},{},{},{1},{1},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1},{2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1},{2,3,4},{2,3,5,6}}
{{},{},{},{},{1},{1},{2,3,4},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2,3,5},{7}}
{{},{},{},{},{1},{1},{2,3,5},{4,7}}
{{},{},{},{},{1},{1},{2,3,5},{6,7}}
{{},{},{},{},{1},{1},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{1},{2,3,5},{2,3,6}}
{{},{},{},{},{1},{1},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{1},{2,3,5},{2,4,6}}
{{},{},{},{},{1},{1},{2,3,5},{2,5,6}}
{{},{},{},{},{1},{1},{2,3,5},{4,5,6}}
{{},{},{},{},{1},{1},{2,3,5},{4,6,7}}
{{},{},{},{},{1},{1},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{1},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{1},{2,3,5},{2,3,4,6}}
{{},{},{},{},{1},{1},{2,3,5},{2,3,5,6}}
{{},{},{},{},{1},{1},{2,3,5},{2,4,5,6}}
{{},{},{},{},{1},{1},{2,3,5},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2,5,6},{7}}
{{},{},{},{},{1},{1},{2,5,6},{3,7}}
{{},{},{},{},{1},{1},{2,5,6},{2,5,6}}
{{},{},{},{},{1},{1},{2,5,6},{3,4,7}}
{{},{},{},{},{1},{1},{2,5,6},{3,5,6}}
{{},{},{},{},{1},{1},{2,5,6},{1,2,3,4}}
{{},{},{},{},{1},{1},{2,5,6},{2,3,4,5}}
{{},{},{},{},{1},{1},{2,5,6},{2,3,5,6}}
{{},{},{},{},{1},{1},{2,5,6},{3,4,5,6}}
{{},{},{},{},{1},{1},{2,5,6},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{1,2,3,4},{7}}
{{},{},{},{},{1},{1},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{1},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1},{1},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1},{1,2,3,4},{2,3,5,6}}
{{},{},{},{},{1},{1},{1,2,3,4},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2,3,4,5},{7}}
{{},{},{},{},{1},{1},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{1},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{1},{2,3,4,5},{2,3,4,6}}
{{},{},{},{},{1},{1},{2,3,4,5},{2,3,5,6}}
{{},{},{},{},{1},{1},{2,3,4,5},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2,3,5,6},{7}}
{{},{},{},{},{1},{1},{2,3,5,6},{4,7}}
{{},{},{},{},{1},{1},{2,3,5,6},{2,3,5,6}}
{{},{},{},{},{1},{1},{2,3,5,6},{2,4,5,6}}
{{},{},{},{},{1},{1},{2,3,5,6},{2,3,4,5,6}}
{{},{},{},{},{1},{1},{2,3,4,5,6},{7}}
{{},{},{},{},{1},{1},{2,3,4,5,6},{2,3,4,5,6}}
{{},{},{},{},{1},{2},{3},{4}}
{{},{},{},{},{1},{2},{3},{5}}
{{},{},{},{},{1},{2},{3},{1,2}}
{{},{},{},{},{1},{2},{3},{1,4}}
{{},{},{},{},{1},{2},{3},{1,6}}
{{},{},{},{},{1},{2},{3},{4,5}}
{{},{},{},{},{1},{2},{3},{5,6}}
{{},{},{},{},{1},{2},{3},{1,2,3}}
{{},{},{},{},{1},{2},{3},{1,2,4}}
{{},{},{},{},{1},{2},{3},{1,2,7}}
{{},{},{},{},{1},{2},{3},{1,4,6}}
{{},{},{},{},{1},{2},{3},{1,6,7}}
{{},{},{},{},{1},{2},{3},{4,5,6}}
{{},{},{},{},{1},{2},{3},{5,6,7}}
{{},{},{},{},{1},{2},{3},{1,2,3,4}}
{{},{},{},{},{1},{2},{3},{1,2,4,7}}
{{},{},{},{},{1},{2},{3},{1,4,6,7}}
{{},{},{},{},{1},{2},{3},{4,5,6,7}}
{{},{},{},{},{1},{2},{5},{5}}
{{},{},{},{},{1},{2},{5},{6}}
{{},{},{},{},{1},{2},{5},{7}}
{{},{},{},{},{1},{2},{5},{1,2}}
{{},{},{},{},{1},{2},{5},{1,3}}
{{},{},{},{},{1},{2},{5},{1,6}}
{{},{},{},{},{1},{2},{5},{2,3}}
{{},{},{},{},{1},{2},{5},{2,5}}
{{},{},{},{},{1},{2},{5},{2,7}}
{{},{},{},{},{1},{2},{5},{3,4}}
{{},{},{},{},{1},{2},{5},{3,5}}
{{},{},{},{},{1},{2},{5},{3,6}}
{{},{},{},{},{1},{2},{5},{3,7}}
{{},{},{},{},{1},{2},{5},{5,6}}
{{},{},{},{},{1},{2},{5},{6,7}}
{{},{},{},{},{1},{2},{5},{1,2,3}}
{{},{},{},{},{1},{2},{5},{1,3,4}}
{{},{},{},{},{1},{2},{5},{1,3,6}}
{{},{},{},{},{1},{2},{5},{2,3,4}}
{{},{},{},{},{1},{2},{5},{2,3,5}}
{{},{},{},{},{1},{2},{5},{2,3,7}}
{{},{},{},{},{1},{2},{5},{3,4,5}}
{{},{},{},{},{1},{2},{5},{3,4,6}}
{{},{},{},{},{1},{2},{5},{3,4,7}}
{{},{},{},{},{1},{2},{5},{3,5,6}}
{{},{},{},{},{1},{2},{5},{3,6,7}}
{{},{},{},{},{1},{2},{5},{1,2,3,4}}
{{},{},{},{},{1},{2},{5},{1,3,4,6}}
{{},{},{},{},{1},{2},{5},{2,3,4,5}}
{{},{},{},{},{1},{2},{5},{2,3,4,7}}
{{},{},{},{},{1},{2},{5},{3,4,5,6}}
{{},{},{},{},{1},{2},{5},{3,4,6,7}}
{{},{},{},{},{1},{2},{1,2},{7}}
{{},{},{},{},{1},{2},{1,2},{1,2}}
{{},{},{},{},{1},{2},{1,2},{1,3}}
{{},{},{},{},{1},{2},{1,2},{1,6}}
{{},{},{},{},{1},{2},{1,2},{3,4}}
{{},{},{},{},{1},{2},{1,2},{3,5}}
{{},{},{},{},{1},{2},{1,2},{3,7}}
{{},{},{},{},{1},{2},{1,2},{5,6}}
{{},{},{},{},{1},{2},{1,2},{5,7}}
{{},{},{},{},{1},{2},{1,2},{1,2,3}}
{{},{},{},{},{1},{2},{1,2},{1,3,4}}
{{},{},{},{},{1},{2},{1,2},{1,3,6}}
{{},{},{},{},{1},{2},{1,2},{3,4,5}}
{{},{},{},{},{1},{2},{1,2},{3,4,7}}
{{},{},{},{},{1},{2},{1,2},{3,5,6}}
{{},{},{},{},{1},{2},{1,2},{3,5,7}}
{{},{},{},{},{1},{2},{1,2},{5,6,7}}
{{},{},{},{},{1},{2},{1,2},{1,2,3,4}}
{{},{},{},{},{1},{2},{1,2},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,2},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,2},{3,4,5,7}}
{{},{},{},{},{1},{2},{1,2},{3,5,6,7}}
{{},{},{},{},{1},{2},{1,2},{3,4,5,6,7}}
{{},{},{},{},{1},{2},{1,3},{7}}
{{},{},{},{},{1},{2},{1,3},{1,3}}
{{},{},{},{},{1},{2},{1,3},{1,4}}
{{},{},{},{},{1},{2},{1,3},{1,6}}
{{},{},{},{},{1},{2},{1,3},{2,3}}
{{},{},{},{},{1},{2},{1,3},{2,4}}
{{},{},{},{},{1},{2},{1,3},{2,5}}
{{},{},{},{},{1},{2},{1,3},{2,7}}
{{},{},{},{},{1},{2},{1,3},{3,4}}
{{},{},{},{},{1},{2},{1,3},{3,5}}
{{},{},{},{},{1},{2},{1,3},{3,6}}
{{},{},{},{},{1},{2},{1,3},{4,5}}
{{},{},{},{},{1},{2},{1,3},{4,6}}
{{},{},{},{},{1},{2},{1,3},{4,7}}
{{},{},{},{},{1},{2},{1,3},{5,6}}
{{},{},{},{},{1},{2},{1,3},{5,7}}
{{},{},{},{},{1},{2},{1,3},{6,7}}
{{},{},{},{},{1},{2},{1,3},{1,2,3}}
{{},{},{},{},{1},{2},{1,3},{1,2,4}}
{{},{},{},{},{1},{2},{1,3},{1,3,4}}
{{},{},{},{},{1},{2},{1,3},{1,3,6}}
{{},{},{},{},{1},{2},{1,3},{1,4,6}}
{{},{},{},{},{1},{2},{1,3},{2,3,4}}
{{},{},{},{},{1},{2},{1,3},{2,3,5}}
{{},{},{},{},{1},{2},{1,3},{2,4,5}}
{{},{},{},{},{1},{2},{1,3},{2,4,7}}
{{},{},{},{},{1},{2},{1,3},{2,5,7}}
{{},{},{},{},{1},{2},{1,3},{3,4,5}}
{{},{},{},{},{1},{2},{1,3},{3,4,6}}
{{},{},{},{},{1},{2},{1,3},{3,5,6}}
{{},{},{},{},{1},{2},{1,3},{4,5,6}}
{{},{},{},{},{1},{2},{1,3},{4,5,7}}
{{},{},{},{},{1},{2},{1,3},{4,6,7}}
{{},{},{},{},{1},{2},{1,3},{5,6,7}}
{{},{},{},{},{1},{2},{1,3},{1,2,3,4}}
{{},{},{},{},{1},{2},{1,3},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,3},{2,3,4,5}}
{{},{},{},{},{1},{2},{1,3},{2,4,5,7}}
{{},{},{},{},{1},{2},{1,3},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,3},{4,5,6,7}}
{{},{},{},{},{1},{2},{1,6},{7}}
{{},{},{},{},{1},{2},{1,6},{1,6}}
{{},{},{},{},{1},{2},{1,6},{2,5}}
{{},{},{},{},{1},{2},{1,6},{3,4}}
{{},{},{},{},{1},{2},{1,6},{3,5}}
{{},{},{},{},{1},{2},{1,6},{3,6}}
{{},{},{},{},{1},{2},{1,6},{3,7}}
{{},{},{},{},{1},{2},{1,6},{5,6}}
{{},{},{},{},{1},{2},{1,6},{5,7}}
{{},{},{},{},{1},{2},{1,6},{1,2,3}}
{{},{},{},{},{1},{2},{1,6},{1,3,4}}
{{},{},{},{},{1},{2},{1,6},{1,3,6}}
{{},{},{},{},{1},{2},{1,6},{2,3,4}}
{{},{},{},{},{1},{2},{1,6},{2,3,5}}
{{},{},{},{},{1},{2},{1,6},{3,4,5}}
{{},{},{},{},{1},{2},{1,6},{3,4,6}}
{{},{},{},{},{1},{2},{1,6},{3,4,7}}
{{},{},{},{},{1},{2},{1,6},{3,5,6}}
{{},{},{},{},{1},{2},{1,6},{3,5,7}}
{{},{},{},{},{1},{2},{1,6},{1,2,3,4}}
{{},{},{},{},{1},{2},{1,6},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,6},{2,3,4,5}}
{{},{},{},{},{1},{2},{1,6},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,6},{3,4,5,7}}
{{},{},{},{},{1},{2},{3,4},{7}}
{{},{},{},{},{1},{2},{3,4},{1,7}}
{{},{},{},{},{1},{2},{3,4},{3,4}}
{{},{},{},{},{1},{2},{3,4},{3,5}}
{{},{},{},{},{1},{2},{3,4},{5,6}}
{{},{},{},{},{1},{2},{3,4},{5,7}}
{{},{},{},{},{1},{2},{3,4},{1,2,3}}
{{},{},{},{},{1},{2},{3,4},{1,2,7}}
{{},{},{},{},{1},{2},{3,4},{1,3,4}}
{{},{},{},{},{1},{2},{3,4},{1,3,6}}
{{},{},{},{},{1},{2},{3,4},{1,6,7}}
{{},{},{},{},{1},{2},{3,4},{3,4,5}}
{{},{},{},{},{1},{2},{3,4},{3,5,6}}
{{},{},{},{},{1},{2},{3,4},{5,6,7}}
{{},{},{},{},{1},{2},{3,4},{1,2,3,4}}
{{},{},{},{},{1},{2},{3,4},{1,3,4,6}}
{{},{},{},{},{1},{2},{3,4},{3,4,5,6}}
{{},{},{},{},{1},{2},{3,5},{7}}
{{},{},{},{},{1},{2},{3,5},{2,7}}
{{},{},{},{},{1},{2},{3,5},{3,5}}
{{},{},{},{},{1},{2},{3,5},{3,6}}
{{},{},{},{},{1},{2},{3,5},{4,5}}
{{},{},{},{},{1},{2},{3,5},{4,6}}
{{},{},{},{},{1},{2},{3,5},{4,7}}
{{},{},{},{},{1},{2},{3,5},{5,6}}
{{},{},{},{},{1},{2},{3,5},{6,7}}
{{},{},{},{},{1},{2},{3,5},{1,2,3}}
{{},{},{},{},{1},{2},{3,5},{1,2,4}}
{{},{},{},{},{1},{2},{3,5},{1,3,4}}
{{},{},{},{},{1},{2},{3,5},{1,3,6}}
{{},{},{},{},{1},{2},{3,5},{1,4,6}}
{{},{},{},{},{1},{2},{3,5},{2,3,4}}
{{},{},{},{},{1},{2},{3,5},{2,3,5}}
{{},{},{},{},{1},{2},{3,5},{2,4,5}}
{{},{},{},{},{1},{2},{3,5},{2,4,7}}
{{},{},{},{},{1},{2},{3,5},{3,4,5}}
{{},{},{},{},{1},{2},{3,5},{3,4,6}}
{{},{},{},{},{1},{2},{3,5},{3,5,6}}
{{},{},{},{},{1},{2},{3,5},{4,5,6}}
{{},{},{},{},{1},{2},{3,5},{4,6,7}}
{{},{},{},{},{1},{2},{3,5},{1,2,3,4}}
{{},{},{},{},{1},{2},{3,5},{1,3,4,6}}
{{},{},{},{},{1},{2},{3,5},{2,3,4,5}}
{{},{},{},{},{1},{2},{3,5},{3,4,5,6}}
{{},{},{},{},{1},{2},{5,6},{7}}
{{},{},{},{},{1},{2},{5,6},{3,7}}
{{},{},{},{},{1},{2},{5,6},{5,6}}
{{},{},{},{},{1},{2},{5,6},{1,2,3}}
{{},{},{},{},{1},{2},{5,6},{1,3,4}}
{{},{},{},{},{1},{2},{5,6},{1,3,6}}
{{},{},{},{},{1},{2},{5,6},{3,4,5}}
{{},{},{},{},{1},{2},{5,6},{3,4,7}}
{{},{},{},{},{1},{2},{5,6},{3,5,6}}
{{},{},{},{},{1},{2},{5,6},{1,2,3,4}}
{{},{},{},{},{1},{2},{5,6},{1,3,4,6}}
{{},{},{},{},{1},{2},{5,6},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,2,3},{7}}
{{},{},{},{},{1},{2},{1,2,3},{4,7}}
{{},{},{},{},{1},{2},{1,2,3},{5,7}}
{{},{},{},{},{1},{2},{1,2,3},{1,2,3}}
{{},{},{},{},{1},{2},{1,2,3},{1,2,4}}
{{},{},{},{},{1},{2},{1,2,3},{1,3,4}}
{{},{},{},{},{1},{2},{1,2,3},{1,3,6}}
{{},{},{},{},{1},{2},{1,2,3},{1,4,6}}
{{},{},{},{},{1},{2},{1,2,3},{3,4,5}}
{{},{},{},{},{1},{2},{1,2,3},{3,5,6}}
{{},{},{},{},{1},{2},{1,2,3},{4,5,6}}
{{},{},{},{},{1},{2},{1,2,3},{4,5,7}}
{{},{},{},{},{1},{2},{1,2,3},{5,6,7}}
{{},{},{},{},{1},{2},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1},{2},{1,2,3},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,2,3},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1},{2},{1,3,4},{7}}
{{},{},{},{},{1},{2},{1,3,4},{2,7}}
{{},{},{},{},{1},{2},{1,3,4},{5,7}}
{{},{},{},{},{1},{2},{1,3,4},{6,7}}
{{},{},{},{},{1},{2},{1,3,4},{1,3,4}}
{{},{},{},{},{1},{2},{1,3,4},{1,3,6}}
{{},{},{},{},{1},{2},{1,3,4},{2,3,4}}
{{},{},{},{},{1},{2},{1,3,4},{2,3,5}}
{{},{},{},{},{1},{2},{1,3,4},{2,5,7}}
{{},{},{},{},{1},{2},{1,3,4},{3,4,5}}
{{},{},{},{},{1},{2},{1,3,4},{3,4,6}}
{{},{},{},{},{1},{2},{1,3,4},{3,5,6}}
{{},{},{},{},{1},{2},{1,3,4},{5,6,7}}
{{},{},{},{},{1},{2},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2},{1,3,4},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2},{1,3,4},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,3,6},{7}}
{{},{},{},{},{1},{2},{1,3,6},{4,7}}
{{},{},{},{},{1},{2},{1,3,6},{5,7}}
{{},{},{},{},{1},{2},{1,3,6},{1,3,6}}
{{},{},{},{},{1},{2},{1,3,6},{1,4,6}}
{{},{},{},{},{1},{2},{1,3,6},{2,3,5}}
{{},{},{},{},{1},{2},{1,3,6},{2,4,5}}
{{},{},{},{},{1},{2},{1,3,6},{3,4,5}}
{{},{},{},{},{1},{2},{1,3,6},{3,4,6}}
{{},{},{},{},{1},{2},{1,3,6},{3,5,6}}
{{},{},{},{},{1},{2},{1,3,6},{4,5,6}}
{{},{},{},{},{1},{2},{1,3,6},{4,5,7}}
{{},{},{},{},{1},{2},{1,3,6},{1,2,3,4}}
{{},{},{},{},{1},{2},{1,3,6},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,3,6},{2,3,4,5}}
{{},{},{},{},{1},{2},{1,3,6},{3,4,5,6}}
{{},{},{},{},{1},{2},{3,4,5},{7}}
{{},{},{},{},{1},{2},{3,4,5},{2,7}}
{{},{},{},{},{1},{2},{3,4,5},{6,7}}
{{},{},{},{},{1},{2},{3,4,5},{3,4,5}}
{{},{},{},{},{1},{2},{3,4,5},{3,4,6}}
{{},{},{},{},{1},{2},{3,4,5},{3,5,6}}
{{},{},{},{},{1},{2},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1},{2},{3,4,5},{1,3,4,6}}
{{},{},{},{},{1},{2},{3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2},{3,4,5},{3,4,5,6}}
{{},{},{},{},{1},{2},{3,5,6},{7}}
{{},{},{},{},{1},{2},{3,5,6},{4,7}}
{{},{},{},{},{1},{2},{3,5,6},{3,5,6}}
{{},{},{},{},{1},{2},{3,5,6},{4,5,6}}
{{},{},{},{},{1},{2},{3,5,6},{1,2,3,4}}
{{},{},{},{},{1},{2},{3,5,6},{1,3,4,6}}
{{},{},{},{},{1},{2},{3,5,6},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,2,3,4},{7}}
{{},{},{},{},{1},{2},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{2},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1},{2},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2},{1,2,3,4},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,2,3,4},{3,4,5,6}}
{{},{},{},{},{1},{2},{1,3,4,6},{7}}
{{},{},{},{},{1},{2},{1,3,4,6},{5,7}}
{{},{},{},{},{1},{2},{1,3,4,6},{1,3,4,6}}
{{},{},{},{},{1},{2},{1,3,4,6},{2,3,4,5}}
{{},{},{},{},{1},{2},{1,3,4,6},{3,4,5,6}}
{{},{},{},{},{1},{2},{3,4,5,6},{7}}
{{},{},{},{},{1},{2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{},{1},{5},{5},{5}}
{{},{},{},{},{1},{5},{5},{6}}
{{},{},{},{},{1},{5},{5},{1,2}}
{{},{},{},{},{1},{5},{5},{2,3}}
{{},{},{},{},{1},{5},{5},{2,5}}
{{},{},{},{},{1},{5},{5},{2,6}}
{{},{},{},{},{1},{5},{5},{6,7}}
{{},{},{},{},{1},{5},{5},{1,2,3}}
{{},{},{},{},{1},{5},{5},{2,3,4}}
{{},{},{},{},{1},{5},{5},{2,3,5}}
{{},{},{},{},{1},{5},{5},{2,3,6}}
{{},{},{},{},{1},{5},{5},{2,6,7}}
{{},{},{},{},{1},{5},{5},{1,2,3,4}}
{{},{},{},{},{1},{5},{5},{2,3,4,5}}
{{},{},{},{},{1},{5},{5},{2,3,4,6}}
{{},{},{},{},{1},{5},{5},{2,3,6,7}}
{{},{},{},{},{1},{5},{5},{2,3,4,6,7}}
{{},{},{},{},{1},{5},{6},{6}}
{{},{},{},{},{1},{5},{6},{7}}
{{},{},{},{},{1},{5},{6},{1,2}}
{{},{},{},{},{1},{5},{6},{2,3}}
{{},{},{},{},{1},{5},{6},{2,5}}
{{},{},{},{},{1},{5},{6},{2,6}}
{{},{},{},{},{1},{5},{6},{2,7}}
{{},{},{},{},{1},{5},{6},{1,2,3}}
{{},{},{},{},{1},{5},{6},{2,3,4}}
{{},{},{},{},{1},{5},{6},{2,3,5}}
{{},{},{},{},{1},{5},{6},{2,3,6}}
{{},{},{},{},{1},{5},{6},{2,3,7}}
{{},{},{},{},{1},{5},{6},{1,2,3,4}}
{{},{},{},{},{1},{5},{6},{2,3,4,5}}
{{},{},{},{},{1},{5},{6},{2,3,4,6}}
{{},{},{},{},{1},{5},{6},{2,3,4,7}}
{{},{},{},{},{1},{5},{1,2},{7}}
{{},{},{},{},{1},{5},{1,2},{1,2}}
{{},{},{},{},{1},{5},{1,2},{1,3}}
{{},{},{},{},{1},{5},{1,2},{2,3}}
{{},{},{},{},{1},{5},{1,2},{2,5}}
{{},{},{},{},{1},{5},{1,2},{2,6}}
{{},{},{},{},{1},{5},{1,2},{3,4}}
{{},{},{},{},{1},{5},{1,2},{3,5}}
{{},{},{},{},{1},{5},{1,2},{3,6}}
{{},{},{},{},{1},{5},{1,2},{3,7}}
{{},{},{},{},{1},{5},{1,2},{5,7}}
{{},{},{},{},{1},{5},{1,2},{6,7}}
{{},{},{},{},{1},{5},{1,2},{1,2,3}}
{{},{},{},{},{1},{5},{1,2},{1,3,4}}
{{},{},{},{},{1},{5},{1,2},{2,3,4}}
{{},{},{},{},{1},{5},{1,2},{2,3,5}}
{{},{},{},{},{1},{5},{1,2},{2,3,6}}
{{},{},{},{},{1},{5},{1,2},{3,4,5}}
{{},{},{},{},{1},{5},{1,2},{3,4,6}}
{{},{},{},{},{1},{5},{1,2},{3,4,7}}
{{},{},{},{},{1},{5},{1,2},{3,5,7}}
{{},{},{},{},{1},{5},{1,2},{3,6,7}}
{{},{},{},{},{1},{5},{1,2},{1,2,3,4}}
{{},{},{},{},{1},{5},{1,2},{2,3,4,5}}
{{},{},{},{},{1},{5},{1,2},{2,3,4,6}}
{{},{},{},{},{1},{5},{1,2},{3,4,5,7}}
{{},{},{},{},{1},{5},{1,2},{3,4,6,7}}
{{},{},{},{},{1},{5},{2,3},{7}}
{{},{},{},{},{1},{5},{2,3},{1,7}}
{{},{},{},{},{1},{5},{2,3},{2,3}}
{{},{},{},{},{1},{5},{2,3},{2,4}}
{{},{},{},{},{1},{5},{2,3},{2,5}}
{{},{},{},{},{1},{5},{2,3},{2,6}}
{{},{},{},{},{1},{5},{2,3},{4,5}}
{{},{},{},{},{1},{5},{2,3},{4,6}}
{{},{},{},{},{1},{5},{2,3},{4,7}}
{{},{},{},{},{1},{5},{2,3},{5,7}}
{{},{},{},{},{1},{5},{2,3},{6,7}}
{{},{},{},{},{1},{5},{2,3},{1,2,3}}
{{},{},{},{},{1},{5},{2,3},{1,2,4}}
{{},{},{},{},{1},{5},{2,3},{1,4,7}}
{{},{},{},{},{1},{5},{2,3},{2,3,4}}
{{},{},{},{},{1},{5},{2,3},{2,3,5}}
{{},{},{},{},{1},{5},{2,3},{2,3,6}}
{{},{},{},{},{1},{5},{2,3},{2,4,5}}
{{},{},{},{},{1},{5},{2,3},{2,4,6}}
{{},{},{},{},{1},{5},{2,3},{4,5,7}}
{{},{},{},{},{1},{5},{2,3},{4,6,7}}
{{},{},{},{},{1},{5},{2,3},{1,2,3,4}}
{{},{},{},{},{1},{5},{2,3},{2,3,4,5}}
{{},{},{},{},{1},{5},{2,3},{2,3,4,6}}
{{},{},{},{},{1},{5},{2,5},{7}}
{{},{},{},{},{1},{5},{2,5},{2,5}}
{{},{},{},{},{1},{5},{2,5},{2,6}}
{{},{},{},{},{1},{5},{2,5},{3,5}}
{{},{},{},{},{1},{5},{2,5},{3,6}}
{{},{},{},{},{1},{5},{2,5},{3,7}}
{{},{},{},{},{1},{5},{2,5},{6,7}}
{{},{},{},{},{1},{5},{2,5},{1,2,3}}
{{},{},{},{},{1},{5},{2,5},{1,3,4}}
{{},{},{},{},{1},{5},{2,5},{2,3,4}}
{{},{},{},{},{1},{5},{2,5},{2,3,5}}
{{},{},{},{},{1},{5},{2,5},{2,3,6}}
{{},{},{},{},{1},{5},{2,5},{3,4,5}}
{{},{},{},{},{1},{5},{2,5},{3,4,6}}
{{},{},{},{},{1},{5},{2,5},{3,4,7}}
{{},{},{},{},{1},{5},{2,5},{3,6,7}}
{{},{},{},{},{1},{5},{2,5},{1,2,3,4}}
{{},{},{},{},{1},{5},{2,5},{2,3,4,5}}
{{},{},{},{},{1},{5},{2,5},{2,3,4,6}}
{{},{},{},{},{1},{5},{2,5},{3,4,6,7}}
{{},{},{},{},{1},{5},{2,6},{7}}
{{},{},{},{},{1},{5},{2,6},{2,6}}
{{},{},{},{},{1},{5},{2,6},{3,6}}
{{},{},{},{},{1},{5},{2,6},{3,7}}
{{},{},{},{},{1},{5},{2,6},{1,2,3}}
{{},{},{},{},{1},{5},{2,6},{1,3,4}}
{{},{},{},{},{1},{5},{2,6},{2,3,4}}
{{},{},{},{},{1},{5},{2,6},{2,3,5}}
{{},{},{},{},{1},{5},{2,6},{2,3,6}}
{{},{},{},{},{1},{5},{2,6},{3,4,5}}
{{},{},{},{},{1},{5},{2,6},{3,4,6}}
{{},{},{},{},{1},{5},{2,6},{3,4,7}}
{{},{},{},{},{1},{5},{2,6},{1,2,3,4}}
{{},{},{},{},{1},{5},{2,6},{2,3,4,5}}
{{},{},{},{},{1},{5},{2,6},{2,3,4,6}}
{{},{},{},{},{1},{5},{1,2,3},{7}}
{{},{},{},{},{1},{5},{1,2,3},{4,7}}
{{},{},{},{},{1},{5},{1,2,3},{5,7}}
{{},{},{},{},{1},{5},{1,2,3},{6,7}}
{{},{},{},{},{1},{5},{1,2,3},{1,2,3}}
{{},{},{},{},{1},{5},{1,2,3},{1,2,4}}
{{},{},{},{},{1},{5},{1,2,3},{2,3,4}}
{{},{},{},{},{1},{5},{1,2,3},{2,3,5}}
{{},{},{},{},{1},{5},{1,2,3},{2,3,6}}
{{},{},{},{},{1},{5},{1,2,3},{2,4,5}}
{{},{},{},{},{1},{5},{1,2,3},{2,4,6}}
{{},{},{},{},{1},{5},{1,2,3},{4,5,7}}
{{},{},{},{},{1},{5},{1,2,3},{4,6,7}}
{{},{},{},{},{1},{5},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1},{5},{1,2,3},{2,3,4,5}}
{{},{},{},{},{1},{5},{1,2,3},{2,3,4,6}}
{{},{},{},{},{1},{5},{2,3,4},{7}}
{{},{},{},{},{1},{5},{2,3,4},{1,7}}
{{},{},{},{},{1},{5},{2,3,4},{5,7}}
{{},{},{},{},{1},{5},{2,3,4},{6,7}}
{{},{},{},{},{1},{5},{2,3,4},{2,3,4}}
{{},{},{},{},{1},{5},{2,3,4},{2,3,5}}
{{},{},{},{},{1},{5},{2,3,4},{2,3,6}}
{{},{},{},{},{1},{5},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{5},{2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{5},{2,3,4},{2,3,4,6}}
{{},{},{},{},{1},{5},{2,3,5},{7}}
{{},{},{},{},{1},{5},{2,3,5},{4,7}}
{{},{},{},{},{1},{5},{2,3,5},{6,7}}
{{},{},{},{},{1},{5},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{5},{2,3,5},{2,3,6}}
{{},{},{},{},{1},{5},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{5},{2,3,5},{2,4,6}}
{{},{},{},{},{1},{5},{2,3,5},{4,6,7}}
{{},{},{},{},{1},{5},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{5},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{5},{2,3,5},{2,3,4,6}}
{{},{},{},{},{1},{5},{2,3,6},{7}}
{{},{},{},{},{1},{5},{2,3,6},{4,7}}
{{},{},{},{},{1},{5},{2,3,6},{2,3,6}}
{{},{},{},{},{1},{5},{2,3,6},{2,4,6}}
{{},{},{},{},{1},{5},{2,3,6},{1,2,3,4}}
{{},{},{},{},{1},{5},{2,3,6},{2,3,4,5}}
{{},{},{},{},{1},{5},{2,3,6},{2,3,4,6}}
{{},{},{},{},{1},{5},{1,2,3,4},{7}}
{{},{},{},{},{1},{5},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{5},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{5},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{5},{1,2,3,4},{2,3,4,6}}
{{},{},{},{},{1},{5},{2,3,4,5},{7}}
{{},{},{},{},{1},{5},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{5},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{5},{2,3,4,5},{2,3,4,6}}
{{},{},{},{},{1},{5},{2,3,4,6},{7}}
{{},{},{},{},{1},{5},{2,3,4,6},{2,3,4,6}}
{{},{},{},{},{1},{1,2},{6},{6}}
{{},{},{},{},{1},{1,2},{6},{7}}
{{},{},{},{},{1},{1,2},{6},{1,2}}
{{},{},{},{},{1},{1,2},{6},{1,3}}
{{},{},{},{},{1},{1,2},{6},{2,3}}
{{},{},{},{},{1},{1,2},{6},{2,5}}
{{},{},{},{},{1},{1,2},{6},{3,4}}
{{},{},{},{},{1},{1,2},{6},{3,5}}
{{},{},{},{},{1},{1,2},{6},{3,6}}
{{},{},{},{},{1},{1,2},{6},{3,7}}
{{},{},{},{},{1},{1,2},{6},{5,6}}
{{},{},{},{},{1},{1,2},{6},{5,7}}
{{},{},{},{},{1},{1,2},{6},{1,2,3}}
{{},{},{},{},{1},{1,2},{6},{1,3,4}}
{{},{},{},{},{1},{1,2},{6},{2,3,4}}
{{},{},{},{},{1},{1,2},{6},{2,3,5}}
{{},{},{},{},{1},{1,2},{6},{3,4,5}}
{{},{},{},{},{1},{1,2},{6},{3,4,6}}
{{},{},{},{},{1},{1,2},{6},{3,4,7}}
{{},{},{},{},{1},{1,2},{6},{3,5,6}}
{{},{},{},{},{1},{1,2},{6},{3,5,7}}
{{},{},{},{},{1},{1,2},{6},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{6},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{6},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{6},{3,4,5,7}}
{{},{},{},{},{1},{1,2},{1,2},{1,2}}
{{},{},{},{},{1},{1,2},{1,2},{1,3}}
{{},{},{},{},{1},{1,2},{1,2},{2,3}}
{{},{},{},{},{1},{1,2},{1,2},{2,5}}
{{},{},{},{},{1},{1,2},{1,2},{3,4}}
{{},{},{},{},{1},{1,2},{1,2},{3,5}}
{{},{},{},{},{1},{1,2},{1,2},{3,6}}
{{},{},{},{},{1},{1,2},{1,2},{5,6}}
{{},{},{},{},{1},{1,2},{1,2},{6,7}}
{{},{},{},{},{1},{1,2},{1,2},{1,2,3}}
{{},{},{},{},{1},{1,2},{1,2},{1,3,4}}
{{},{},{},{},{1},{1,2},{1,2},{2,3,4}}
{{},{},{},{},{1},{1,2},{1,2},{2,3,5}}
{{},{},{},{},{1},{1,2},{1,2},{3,4,5}}
{{},{},{},{},{1},{1,2},{1,2},{3,4,6}}
{{},{},{},{},{1},{1,2},{1,2},{3,5,6}}
{{},{},{},{},{1},{1,2},{1,2},{3,6,7}}
{{},{},{},{},{1},{1,2},{1,2},{5,6,7}}
{{},{},{},{},{1},{1,2},{1,2},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{1,2},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{1,2},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{1,2},{3,4,6,7}}
{{},{},{},{},{1},{1,2},{1,2},{3,5,6,7}}
{{},{},{},{},{1},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{},{},{1},{1,2},{1,3},{1,4}}
{{},{},{},{},{1},{1,2},{1,3},{2,3}}
{{},{},{},{},{1},{1,2},{1,3},{2,4}}
{{},{},{},{},{1},{1,2},{1,3},{2,5}}
{{},{},{},{},{1},{1,2},{1,3},{2,7}}
{{},{},{},{},{1},{1,2},{1,3},{4,5}}
{{},{},{},{},{1},{1,2},{1,3},{4,6}}
{{},{},{},{},{1},{1,2},{1,3},{5,6}}
{{},{},{},{},{1},{1,2},{1,3},{6,7}}
{{},{},{},{},{1},{1,2},{1,3},{1,2,3}}
{{},{},{},{},{1},{1,2},{1,3},{1,2,4}}
{{},{},{},{},{1},{1,2},{1,3},{2,3,4}}
{{},{},{},{},{1},{1,2},{1,3},{2,3,5}}
{{},{},{},{},{1},{1,2},{1,3},{2,4,5}}
{{},{},{},{},{1},{1,2},{1,3},{2,4,7}}
{{},{},{},{},{1},{1,2},{1,3},{2,5,7}}
{{},{},{},{},{1},{1,2},{1,3},{4,5,6}}
{{},{},{},{},{1},{1,2},{1,3},{4,6,7}}
{{},{},{},{},{1},{1,2},{1,3},{5,6,7}}
{{},{},{},{},{1},{1,2},{1,3},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{1,3},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{1,3},{2,4,5,7}}
{{},{},{},{},{1},{1,2},{1,3},{4,5,6,7}}
{{},{},{},{},{1},{1,2},{2,3},{7}}
{{},{},{},{},{1},{1,2},{2,3},{1,7}}
{{},{},{},{},{1},{1,2},{2,3},{2,3}}
{{},{},{},{},{1},{1,2},{2,3},{2,4}}
{{},{},{},{},{1},{1,2},{2,3},{2,5}}
{{},{},{},{},{1},{1,2},{2,3},{3,4}}
{{},{},{},{},{1},{1,2},{2,3},{3,5}}
{{},{},{},{},{1},{1,2},{2,3},{3,6}}
{{},{},{},{},{1},{1,2},{2,3},{4,5}}
{{},{},{},{},{1},{1,2},{2,3},{4,6}}
{{},{},{},{},{1},{1,2},{2,3},{4,7}}
{{},{},{},{},{1},{1,2},{2,3},{5,6}}
{{},{},{},{},{1},{1,2},{2,3},{5,7}}
{{},{},{},{},{1},{1,2},{2,3},{6,7}}
{{},{},{},{},{1},{1,2},{2,3},{1,2,3}}
{{},{},{},{},{1},{1,2},{2,3},{1,2,4}}
{{},{},{},{},{1},{1,2},{2,3},{1,3,4}}
{{},{},{},{},{1},{1,2},{2,3},{1,4,7}}
{{},{},{},{},{1},{1,2},{2,3},{2,3,4}}
{{},{},{},{},{1},{1,2},{2,3},{2,3,5}}
{{},{},{},{},{1},{1,2},{2,3},{2,4,5}}
{{},{},{},{},{1},{1,2},{2,3},{3,4,5}}
{{},{},{},{},{1},{1,2},{2,3},{3,4,6}}
{{},{},{},{},{1},{1,2},{2,3},{3,5,6}}
{{},{},{},{},{1},{1,2},{2,3},{4,5,6}}
{{},{},{},{},{1},{1,2},{2,3},{4,5,7}}
{{},{},{},{},{1},{1,2},{2,3},{4,6,7}}
{{},{},{},{},{1},{1,2},{2,3},{5,6,7}}
{{},{},{},{},{1},{1,2},{2,3},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{2,3},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{2,3},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{2,3},{4,5,6,7}}
{{},{},{},{},{1},{1,2},{2,5},{7}}
{{},{},{},{},{1},{1,2},{2,5},{2,5}}
{{},{},{},{},{1},{1,2},{2,5},{3,4}}
{{},{},{},{},{1},{1,2},{2,5},{3,5}}
{{},{},{},{},{1},{1,2},{2,5},{3,6}}
{{},{},{},{},{1},{1,2},{2,5},{3,7}}
{{},{},{},{},{1},{1,2},{2,5},{5,6}}
{{},{},{},{},{1},{1,2},{2,5},{6,7}}
{{},{},{},{},{1},{1,2},{2,5},{1,2,3}}
{{},{},{},{},{1},{1,2},{2,5},{1,3,4}}
{{},{},{},{},{1},{1,2},{2,5},{2,3,4}}
{{},{},{},{},{1},{1,2},{2,5},{2,3,5}}
{{},{},{},{},{1},{1,2},{2,5},{3,4,5}}
{{},{},{},{},{1},{1,2},{2,5},{3,4,6}}
{{},{},{},{},{1},{1,2},{2,5},{3,4,7}}
{{},{},{},{},{1},{1,2},{2,5},{3,5,6}}
{{},{},{},{},{1},{1,2},{2,5},{3,6,7}}
{{},{},{},{},{1},{1,2},{2,5},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{2,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{2,5},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{2,5},{3,4,6,7}}
{{},{},{},{},{1},{1,2},{3,4},{7}}
{{},{},{},{},{1},{1,2},{3,4},{1,7}}
{{},{},{},{},{1},{1,2},{3,4},{2,7}}
{{},{},{},{},{1},{1,2},{3,4},{3,4}}
{{},{},{},{},{1},{1,2},{3,4},{3,5}}
{{},{},{},{},{1},{1,2},{3,4},{3,6}}
{{},{},{},{},{1},{1,2},{3,4},{5,6}}
{{},{},{},{},{1},{1,2},{3,4},{5,7}}
{{},{},{},{},{1},{1,2},{3,4},{6,7}}
{{},{},{},{},{1},{1,2},{3,4},{1,2,3}}
{{},{},{},{},{1},{1,2},{3,4},{1,2,7}}
{{},{},{},{},{1},{1,2},{3,4},{1,3,4}}
{{},{},{},{},{1},{1,2},{3,4},{2,3,4}}
{{},{},{},{},{1},{1,2},{3,4},{2,3,5}}
{{},{},{},{},{1},{1,2},{3,4},{2,5,7}}
{{},{},{},{},{1},{1,2},{3,4},{3,4,5}}
{{},{},{},{},{1},{1,2},{3,4},{3,4,6}}
{{},{},{},{},{1},{1,2},{3,4},{3,5,6}}
{{},{},{},{},{1},{1,2},{3,4},{5,6,7}}
{{},{},{},{},{1},{1,2},{3,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{3,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{3,4},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{3,5},{7}}
{{},{},{},{},{1},{1,2},{3,5},{2,7}}
{{},{},{},{},{1},{1,2},{3,5},{3,5}}
{{},{},{},{},{1},{1,2},{3,5},{3,6}}
{{},{},{},{},{1},{1,2},{3,5},{4,5}}
{{},{},{},{},{1},{1,2},{3,5},{4,6}}
{{},{},{},{},{1},{1,2},{3,5},{4,7}}
{{},{},{},{},{1},{1,2},{3,5},{5,6}}
{{},{},{},{},{1},{1,2},{3,5},{6,7}}
{{},{},{},{},{1},{1,2},{3,5},{1,2,3}}
{{},{},{},{},{1},{1,2},{3,5},{1,2,4}}
{{},{},{},{},{1},{1,2},{3,5},{1,3,4}}
{{},{},{},{},{1},{1,2},{3,5},{2,3,4}}
{{},{},{},{},{1},{1,2},{3,5},{2,3,5}}
{{},{},{},{},{1},{1,2},{3,5},{2,4,5}}
{{},{},{},{},{1},{1,2},{3,5},{2,4,7}}
{{},{},{},{},{1},{1,2},{3,5},{3,4,5}}
{{},{},{},{},{1},{1,2},{3,5},{3,4,6}}
{{},{},{},{},{1},{1,2},{3,5},{3,5,6}}
{{},{},{},{},{1},{1,2},{3,5},{4,5,6}}
{{},{},{},{},{1},{1,2},{3,5},{4,6,7}}
{{},{},{},{},{1},{1,2},{3,5},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{3,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{3,5},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{3,6},{7}}
{{},{},{},{},{1},{1,2},{3,6},{3,6}}
{{},{},{},{},{1},{1,2},{3,6},{4,6}}
{{},{},{},{},{1},{1,2},{3,6},{4,7}}
{{},{},{},{},{1},{1,2},{3,6},{5,6}}
{{},{},{},{},{1},{1,2},{3,6},{5,7}}
{{},{},{},{},{1},{1,2},{3,6},{1,2,3}}
{{},{},{},{},{1},{1,2},{3,6},{1,2,4}}
{{},{},{},{},{1},{1,2},{3,6},{1,3,4}}
{{},{},{},{},{1},{1,2},{3,6},{2,3,4}}
{{},{},{},{},{1},{1,2},{3,6},{2,3,5}}
{{},{},{},{},{1},{1,2},{3,6},{2,4,5}}
{{},{},{},{},{1},{1,2},{3,6},{3,4,5}}
{{},{},{},{},{1},{1,2},{3,6},{3,4,6}}
{{},{},{},{},{1},{1,2},{3,6},{3,5,6}}
{{},{},{},{},{1},{1,2},{3,6},{4,5,6}}
{{},{},{},{},{1},{1,2},{3,6},{4,5,7}}
{{},{},{},{},{1},{1,2},{3,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{3,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{3,6},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{5,6},{7}}
{{},{},{},{},{1},{1,2},{5,6},{3,7}}
{{},{},{},{},{1},{1,2},{5,6},{5,6}}
{{},{},{},{},{1},{1,2},{5,6},{1,2,3}}
{{},{},{},{},{1},{1,2},{5,6},{1,3,4}}
{{},{},{},{},{1},{1,2},{5,6},{2,3,4}}
{{},{},{},{},{1},{1,2},{5,6},{2,3,5}}
{{},{},{},{},{1},{1,2},{5,6},{3,4,5}}
{{},{},{},{},{1},{1,2},{5,6},{3,4,6}}
{{},{},{},{},{1},{1,2},{5,6},{3,4,7}}
{{},{},{},{},{1},{1,2},{5,6},{3,5,6}}
{{},{},{},{},{1},{1,2},{5,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{5,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{5,6},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{1,2,3},{7}}
{{},{},{},{},{1},{1,2},{1,2,3},{4,7}}
{{},{},{},{},{1},{1,2},{1,2,3},{5,7}}
{{},{},{},{},{1},{1,2},{1,2,3},{6,7}}
{{},{},{},{},{1},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{},{1},{1,2},{1,2,3},{1,2,4}}
{{},{},{},{},{1},{1,2},{1,2,3},{1,3,4}}
{{},{},{},{},{1},{1,2},{1,2,3},{2,3,4}}
{{},{},{},{},{1},{1,2},{1,2,3},{2,3,5}}
{{},{},{},{},{1},{1,2},{1,2,3},{2,4,5}}
{{},{},{},{},{1},{1,2},{1,2,3},{3,4,5}}
{{},{},{},{},{1},{1,2},{1,2,3},{3,4,6}}
{{},{},{},{},{1},{1,2},{1,2,3},{3,5,6}}
{{},{},{},{},{1},{1,2},{1,2,3},{4,5,6}}
{{},{},{},{},{1},{1,2},{1,2,3},{4,5,7}}
{{},{},{},{},{1},{1,2},{1,2,3},{4,6,7}}
{{},{},{},{},{1},{1,2},{1,2,3},{5,6,7}}
{{},{},{},{},{1},{1,2},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{1,2,3},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{1,2,3},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1},{1,2},{1,3,4},{7}}
{{},{},{},{},{1},{1,2},{1,3,4},{2,7}}
{{},{},{},{},{1},{1,2},{1,3,4},{5,7}}
{{},{},{},{},{1},{1,2},{1,3,4},{6,7}}
{{},{},{},{},{1},{1,2},{1,3,4},{1,3,4}}
{{},{},{},{},{1},{1,2},{1,3,4},{2,3,4}}
{{},{},{},{},{1},{1,2},{1,3,4},{2,3,5}}
{{},{},{},{},{1},{1,2},{1,3,4},{2,5,7}}
{{},{},{},{},{1},{1,2},{1,3,4},{3,4,5}}
{{},{},{},{},{1},{1,2},{1,3,4},{3,4,6}}
{{},{},{},{},{1},{1,2},{1,3,4},{3,5,6}}
{{},{},{},{},{1},{1,2},{1,3,4},{5,6,7}}
{{},{},{},{},{1},{1,2},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{1,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{1,3,4},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{2,3,4},{7}}
{{},{},{},{},{1},{1,2},{2,3,4},{1,7}}
{{},{},{},{},{1},{1,2},{2,3,4},{5,7}}
{{},{},{},{},{1},{1,2},{2,3,4},{6,7}}
{{},{},{},{},{1},{1,2},{2,3,4},{2,3,4}}
{{},{},{},{},{1},{1,2},{2,3,4},{2,3,5}}
{{},{},{},{},{1},{1,2},{2,3,4},{3,4,5}}
{{},{},{},{},{1},{1,2},{2,3,4},{3,4,6}}
{{},{},{},{},{1},{1,2},{2,3,4},{3,5,6}}
{{},{},{},{},{1},{1,2},{2,3,4},{5,6,7}}
{{},{},{},{},{1},{1,2},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{2,3,4},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{2,3,5},{7}}
{{},{},{},{},{1},{1,2},{2,3,5},{4,7}}
{{},{},{},{},{1},{1,2},{2,3,5},{6,7}}
{{},{},{},{},{1},{1,2},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{1,2},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{1,2},{2,3,5},{3,4,5}}
{{},{},{},{},{1},{1,2},{2,3,5},{3,4,6}}
{{},{},{},{},{1},{1,2},{2,3,5},{3,5,6}}
{{},{},{},{},{1},{1,2},{2,3,5},{4,5,6}}
{{},{},{},{},{1},{1,2},{2,3,5},{4,6,7}}
{{},{},{},{},{1},{1,2},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{2,3,5},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{3,4,5},{7}}
{{},{},{},{},{1},{1,2},{3,4,5},{2,7}}
{{},{},{},{},{1},{1,2},{3,4,5},{6,7}}
{{},{},{},{},{1},{1,2},{3,4,5},{3,4,5}}
{{},{},{},{},{1},{1,2},{3,4,5},{3,4,6}}
{{},{},{},{},{1},{1,2},{3,4,5},{3,5,6}}
{{},{},{},{},{1},{1,2},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{3,4,6},{7}}
{{},{},{},{},{1},{1,2},{3,4,6},{5,7}}
{{},{},{},{},{1},{1,2},{3,4,6},{3,4,6}}
{{},{},{},{},{1},{1,2},{3,4,6},{3,5,6}}
{{},{},{},{},{1},{1,2},{3,4,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{3,4,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{3,4,6},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{3,5,6},{7}}
{{},{},{},{},{1},{1,2},{3,5,6},{4,7}}
{{},{},{},{},{1},{1,2},{3,5,6},{3,5,6}}
{{},{},{},{},{1},{1,2},{3,5,6},{4,5,6}}
{{},{},{},{},{1},{1,2},{3,5,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{3,5,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{3,5,6},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{1,2,3,4},{7}}
{{},{},{},{},{1},{1,2},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{1,2},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{1,2},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1},{1,2},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{1,2,3,4},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{2,3,4,5},{7}}
{{},{},{},{},{1},{1,2},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{1,2},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2},{2,3,4,5},{3,4,5,6}}
{{},{},{},{},{1},{1,2},{3,4,5,6},{7}}
{{},{},{},{},{1},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{},{1},{2,3},{6},{6}}
{{},{},{},{},{1},{2,3},{6},{7}}
{{},{},{},{},{1},{2,3},{6},{1,6}}
{{},{},{},{},{1},{2,3},{6},{1,7}}
{{},{},{},{},{1},{2,3},{6},{2,3}}
{{},{},{},{},{1},{2,3},{6},{2,4}}
{{},{},{},{},{1},{2,3},{6},{2,5}}
{{},{},{},{},{1},{2,3},{6},{4,5}}
{{},{},{},{},{1},{2,3},{6},{4,6}}
{{},{},{},{},{1},{2,3},{6},{4,7}}
{{},{},{},{},{1},{2,3},{6},{5,6}}
{{},{},{},{},{1},{2,3},{6},{5,7}}
{{},{},{},{},{1},{2,3},{6},{1,2,3}}
{{},{},{},{},{1},{2,3},{6},{1,2,4}}
{{},{},{},{},{1},{2,3},{6},{1,4,6}}
{{},{},{},{},{1},{2,3},{6},{1,4,7}}
{{},{},{},{},{1},{2,3},{6},{2,3,4}}
{{},{},{},{},{1},{2,3},{6},{2,3,5}}
{{},{},{},{},{1},{2,3},{6},{2,4,5}}
{{},{},{},{},{1},{2,3},{6},{4,5,6}}
{{},{},{},{},{1},{2,3},{6},{4,5,7}}
{{},{},{},{},{1},{2,3},{6},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{6},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{1,6},{7}}
{{},{},{},{},{1},{2,3},{1,6},{1,6}}
{{},{},{},{},{1},{2,3},{1,6},{2,3}}
{{},{},{},{},{1},{2,3},{1,6},{2,4}}
{{},{},{},{},{1},{2,3},{1,6},{2,5}}
{{},{},{},{},{1},{2,3},{1,6},{4,5}}
{{},{},{},{},{1},{2,3},{1,6},{4,6}}
{{},{},{},{},{1},{2,3},{1,6},{4,7}}
{{},{},{},{},{1},{2,3},{1,6},{5,6}}
{{},{},{},{},{1},{2,3},{1,6},{5,7}}
{{},{},{},{},{1},{2,3},{1,6},{1,2,3}}
{{},{},{},{},{1},{2,3},{1,6},{1,2,4}}
{{},{},{},{},{1},{2,3},{1,6},{1,4,6}}
{{},{},{},{},{1},{2,3},{1,6},{2,3,4}}
{{},{},{},{},{1},{2,3},{1,6},{2,3,5}}
{{},{},{},{},{1},{2,3},{1,6},{2,4,5}}
{{},{},{},{},{1},{2,3},{1,6},{4,5,6}}
{{},{},{},{},{1},{2,3},{1,6},{4,5,7}}
{{},{},{},{},{1},{2,3},{1,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{1,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{2,3},{2,3}}
{{},{},{},{},{1},{2,3},{2,3},{2,4}}
{{},{},{},{},{1},{2,3},{2,3},{2,5}}
{{},{},{},{},{1},{2,3},{2,3},{4,5}}
{{},{},{},{},{1},{2,3},{2,3},{4,6}}
{{},{},{},{},{1},{2,3},{2,3},{5,6}}
{{},{},{},{},{1},{2,3},{2,3},{6,7}}
{{},{},{},{},{1},{2,3},{2,3},{1,2,3}}
{{},{},{},{},{1},{2,3},{2,3},{1,2,4}}
{{},{},{},{},{1},{2,3},{2,3},{1,4,6}}
{{},{},{},{},{1},{2,3},{2,3},{1,6,7}}
{{},{},{},{},{1},{2,3},{2,3},{2,3,4}}
{{},{},{},{},{1},{2,3},{2,3},{2,3,5}}
{{},{},{},{},{1},{2,3},{2,3},{2,4,5}}
{{},{},{},{},{1},{2,3},{2,3},{4,5,6}}
{{},{},{},{},{1},{2,3},{2,3},{4,6,7}}
{{},{},{},{},{1},{2,3},{2,3},{5,6,7}}
{{},{},{},{},{1},{2,3},{2,3},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{2,3},{1,4,6,7}}
{{},{},{},{},{1},{2,3},{2,3},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{2,3},{4,5,6,7}}
{{},{},{},{},{1},{2,3},{2,4},{2,5}}
{{},{},{},{},{1},{2,3},{2,4},{3,4}}
{{},{},{},{},{1},{2,3},{2,4},{3,5}}
{{},{},{},{},{1},{2,3},{2,4},{3,7}}
{{},{},{},{},{1},{2,3},{2,4},{5,6}}
{{},{},{},{},{1},{2,3},{2,4},{6,7}}
{{},{},{},{},{1},{2,3},{2,4},{1,2,3}}
{{},{},{},{},{1},{2,3},{2,4},{1,3,4}}
{{},{},{},{},{1},{2,3},{2,4},{1,3,7}}
{{},{},{},{},{1},{2,3},{2,4},{1,6,7}}
{{},{},{},{},{1},{2,3},{2,4},{2,3,4}}
{{},{},{},{},{1},{2,3},{2,4},{2,3,5}}
{{},{},{},{},{1},{2,3},{2,4},{3,4,5}}
{{},{},{},{},{1},{2,3},{2,4},{3,5,7}}
{{},{},{},{},{1},{2,3},{2,4},{5,6,7}}
{{},{},{},{},{1},{2,3},{2,4},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{2,4},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{2,5},{7}}
{{},{},{},{},{1},{2,3},{2,5},{2,5}}
{{},{},{},{},{1},{2,3},{2,5},{3,5}}
{{},{},{},{},{1},{2,3},{2,5},{3,7}}
{{},{},{},{},{1},{2,3},{2,5},{4,5}}
{{},{},{},{},{1},{2,3},{2,5},{4,6}}
{{},{},{},{},{1},{2,3},{2,5},{4,7}}
{{},{},{},{},{1},{2,3},{2,5},{5,6}}
{{},{},{},{},{1},{2,3},{2,5},{6,7}}
{{},{},{},{},{1},{2,3},{2,5},{1,2,3}}
{{},{},{},{},{1},{2,3},{2,5},{1,2,4}}
{{},{},{},{},{1},{2,3},{2,5},{1,3,4}}
{{},{},{},{},{1},{2,3},{2,5},{1,4,6}}
{{},{},{},{},{1},{2,3},{2,5},{2,3,4}}
{{},{},{},{},{1},{2,3},{2,5},{2,3,5}}
{{},{},{},{},{1},{2,3},{2,5},{2,4,5}}
{{},{},{},{},{1},{2,3},{2,5},{3,4,5}}
{{},{},{},{},{1},{2,3},{2,5},{3,4,7}}
{{},{},{},{},{1},{2,3},{2,5},{4,5,6}}
{{},{},{},{},{1},{2,3},{2,5},{4,6,7}}
{{},{},{},{},{1},{2,3},{2,5},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{2,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{4,5},{7}}
{{},{},{},{},{1},{2,3},{4,5},{2,7}}
{{},{},{},{},{1},{2,3},{4,5},{4,5}}
{{},{},{},{},{1},{2,3},{4,5},{4,6}}
{{},{},{},{},{1},{2,3},{4,5},{5,6}}
{{},{},{},{},{1},{2,3},{4,5},{6,7}}
{{},{},{},{},{1},{2,3},{4,5},{1,2,3}}
{{},{},{},{},{1},{2,3},{4,5},{1,2,4}}
{{},{},{},{},{1},{2,3},{4,5},{1,4,6}}
{{},{},{},{},{1},{2,3},{4,5},{2,3,4}}
{{},{},{},{},{1},{2,3},{4,5},{2,3,5}}
{{},{},{},{},{1},{2,3},{4,5},{2,3,7}}
{{},{},{},{},{1},{2,3},{4,5},{2,4,5}}
{{},{},{},{},{1},{2,3},{4,5},{4,5,6}}
{{},{},{},{},{1},{2,3},{4,5},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{4,6},{7}}
{{},{},{},{},{1},{2,3},{4,6},{1,7}}
{{},{},{},{},{1},{2,3},{4,6},{4,6}}
{{},{},{},{},{1},{2,3},{4,6},{5,6}}
{{},{},{},{},{1},{2,3},{4,6},{5,7}}
{{},{},{},{},{1},{2,3},{4,6},{1,2,3}}
{{},{},{},{},{1},{2,3},{4,6},{1,2,4}}
{{},{},{},{},{1},{2,3},{4,6},{1,4,6}}
{{},{},{},{},{1},{2,3},{4,6},{2,3,4}}
{{},{},{},{},{1},{2,3},{4,6},{2,3,5}}
{{},{},{},{},{1},{2,3},{4,6},{2,4,5}}
{{},{},{},{},{1},{2,3},{4,6},{4,5,6}}
{{},{},{},{},{1},{2,3},{4,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{4,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{5,6},{7}}
{{},{},{},{},{1},{2,3},{5,6},{4,7}}
{{},{},{},{},{1},{2,3},{5,6},{5,6}}
{{},{},{},{},{1},{2,3},{5,6},{1,2,3}}
{{},{},{},{},{1},{2,3},{5,6},{1,2,4}}
{{},{},{},{},{1},{2,3},{5,6},{1,4,6}}
{{},{},{},{},{1},{2,3},{5,6},{2,3,4}}
{{},{},{},{},{1},{2,3},{5,6},{2,3,5}}
{{},{},{},{},{1},{2,3},{5,6},{2,4,5}}
{{},{},{},{},{1},{2,3},{5,6},{4,5,6}}
{{},{},{},{},{1},{2,3},{5,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{5,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{1,2,3},{7}}
{{},{},{},{},{1},{2,3},{1,2,3},{4,7}}
{{},{},{},{},{1},{2,3},{1,2,3},{5,7}}
{{},{},{},{},{1},{2,3},{1,2,3},{6,7}}
{{},{},{},{},{1},{2,3},{1,2,3},{1,2,3}}
{{},{},{},{},{1},{2,3},{1,2,3},{1,2,4}}
{{},{},{},{},{1},{2,3},{1,2,3},{1,4,6}}
{{},{},{},{},{1},{2,3},{1,2,3},{2,3,4}}
{{},{},{},{},{1},{2,3},{1,2,3},{2,3,5}}
{{},{},{},{},{1},{2,3},{1,2,3},{2,4,5}}
{{},{},{},{},{1},{2,3},{1,2,3},{4,5,6}}
{{},{},{},{},{1},{2,3},{1,2,3},{4,5,7}}
{{},{},{},{},{1},{2,3},{1,2,3},{4,6,7}}
{{},{},{},{},{1},{2,3},{1,2,3},{5,6,7}}
{{},{},{},{},{1},{2,3},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{1,2,3},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1},{2,3},{1,2,4},{7}}
{{},{},{},{},{1},{2,3},{1,2,4},{3,7}}
{{},{},{},{},{1},{2,3},{1,2,4},{5,7}}
{{},{},{},{},{1},{2,3},{1,2,4},{6,7}}
{{},{},{},{},{1},{2,3},{1,2,4},{1,2,4}}
{{},{},{},{},{1},{2,3},{1,2,4},{1,3,4}}
{{},{},{},{},{1},{2,3},{1,2,4},{1,4,6}}
{{},{},{},{},{1},{2,3},{1,2,4},{2,3,4}}
{{},{},{},{},{1},{2,3},{1,2,4},{2,3,5}}
{{},{},{},{},{1},{2,3},{1,2,4},{2,4,5}}
{{},{},{},{},{1},{2,3},{1,2,4},{3,4,5}}
{{},{},{},{},{1},{2,3},{1,2,4},{3,5,7}}
{{},{},{},{},{1},{2,3},{1,2,4},{4,5,6}}
{{},{},{},{},{1},{2,3},{1,2,4},{5,6,7}}
{{},{},{},{},{1},{2,3},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{1,2,4},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{1,4,6},{7}}
{{},{},{},{},{1},{2,3},{1,4,6},{5,7}}
{{},{},{},{},{1},{2,3},{1,4,6},{1,4,6}}
{{},{},{},{},{1},{2,3},{1,4,6},{2,3,4}}
{{},{},{},{},{1},{2,3},{1,4,6},{2,3,5}}
{{},{},{},{},{1},{2,3},{1,4,6},{2,4,5}}
{{},{},{},{},{1},{2,3},{1,4,6},{4,5,6}}
{{},{},{},{},{1},{2,3},{1,4,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{1,4,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{2,3,4},{7}}
{{},{},{},{},{1},{2,3},{2,3,4},{1,7}}
{{},{},{},{},{1},{2,3},{2,3,4},{5,7}}
{{},{},{},{},{1},{2,3},{2,3,4},{6,7}}
{{},{},{},{},{1},{2,3},{2,3,4},{1,6,7}}
{{},{},{},{},{1},{2,3},{2,3,4},{2,3,4}}
{{},{},{},{},{1},{2,3},{2,3,4},{2,3,5}}
{{},{},{},{},{1},{2,3},{2,3,4},{2,4,5}}
{{},{},{},{},{1},{2,3},{2,3,4},{4,5,6}}
{{},{},{},{},{1},{2,3},{2,3,4},{5,6,7}}
{{},{},{},{},{1},{2,3},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{2,3,5},{7}}
{{},{},{},{},{1},{2,3},{2,3,5},{4,7}}
{{},{},{},{},{1},{2,3},{2,3,5},{6,7}}
{{},{},{},{},{1},{2,3},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{2,3},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{2,3},{2,3,5},{4,5,6}}
{{},{},{},{},{1},{2,3},{2,3,5},{4,6,7}}
{{},{},{},{},{1},{2,3},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{2,4,5},{7}}
{{},{},{},{},{1},{2,3},{2,4,5},{3,7}}
{{},{},{},{},{1},{2,3},{2,4,5},{6,7}}
{{},{},{},{},{1},{2,3},{2,4,5},{2,4,5}}
{{},{},{},{},{1},{2,3},{2,4,5},{3,4,5}}
{{},{},{},{},{1},{2,3},{2,4,5},{4,5,6}}
{{},{},{},{},{1},{2,3},{2,4,5},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{2,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{4,5,6},{7}}
{{},{},{},{},{1},{2,3},{4,5,6},{4,5,6}}
{{},{},{},{},{1},{2,3},{4,5,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{4,5,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{1,2,3,4},{7}}
{{},{},{},{},{1},{2,3},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{2,3},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{2,3},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1},{2,3},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,3},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,3},{2,3,4,5},{7}}
{{},{},{},{},{1},{2,3},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{2,3},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{6},{6}}
{{},{},{},{},{1},{2,5},{6},{7}}
{{},{},{},{},{1},{2,5},{6},{2,5}}
{{},{},{},{},{1},{2,5},{6},{3,5}}
{{},{},{},{},{1},{2,5},{6},{3,6}}
{{},{},{},{},{1},{2,5},{6},{3,7}}
{{},{},{},{},{1},{2,5},{6},{1,2,3}}
{{},{},{},{},{1},{2,5},{6},{1,3,4}}
{{},{},{},{},{1},{2,5},{6},{2,3,4}}
{{},{},{},{},{1},{2,5},{6},{2,3,5}}
{{},{},{},{},{1},{2,5},{6},{3,4,5}}
{{},{},{},{},{1},{2,5},{6},{3,4,6}}
{{},{},{},{},{1},{2,5},{6},{3,4,7}}
{{},{},{},{},{1},{2,5},{6},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{6},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{2,5},{2,5}}
{{},{},{},{},{1},{2,5},{2,5},{3,5}}
{{},{},{},{},{1},{2,5},{2,5},{3,6}}
{{},{},{},{},{1},{2,5},{2,5},{6,7}}
{{},{},{},{},{1},{2,5},{2,5},{1,2,3}}
{{},{},{},{},{1},{2,5},{2,5},{1,3,4}}
{{},{},{},{},{1},{2,5},{2,5},{2,3,4}}
{{},{},{},{},{1},{2,5},{2,5},{2,3,5}}
{{},{},{},{},{1},{2,5},{2,5},{3,4,5}}
{{},{},{},{},{1},{2,5},{2,5},{3,4,6}}
{{},{},{},{},{1},{2,5},{2,5},{3,6,7}}
{{},{},{},{},{1},{2,5},{2,5},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{2,5},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{2,5},{3,4,6,7}}
{{},{},{},{},{1},{2,5},{3,5},{2,7}}
{{},{},{},{},{1},{2,5},{3,5},{4,5}}
{{},{},{},{},{1},{2,5},{3,5},{4,6}}
{{},{},{},{},{1},{2,5},{3,5},{6,7}}
{{},{},{},{},{1},{2,5},{3,5},{1,2,3}}
{{},{},{},{},{1},{2,5},{3,5},{1,2,4}}
{{},{},{},{},{1},{2,5},{3,5},{2,3,4}}
{{},{},{},{},{1},{2,5},{3,5},{2,3,5}}
{{},{},{},{},{1},{2,5},{3,5},{2,4,5}}
{{},{},{},{},{1},{2,5},{3,5},{2,4,7}}
{{},{},{},{},{1},{2,5},{3,5},{4,6,7}}
{{},{},{},{},{1},{2,5},{3,5},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{3,5},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{3,6},{7}}
{{},{},{},{},{1},{2,5},{3,6},{3,6}}
{{},{},{},{},{1},{2,5},{3,6},{4,6}}
{{},{},{},{},{1},{2,5},{3,6},{4,7}}
{{},{},{},{},{1},{2,5},{3,6},{1,2,3}}
{{},{},{},{},{1},{2,5},{3,6},{1,2,4}}
{{},{},{},{},{1},{2,5},{3,6},{1,3,4}}
{{},{},{},{},{1},{2,5},{3,6},{2,3,4}}
{{},{},{},{},{1},{2,5},{3,6},{2,3,5}}
{{},{},{},{},{1},{2,5},{3,6},{2,4,5}}
{{},{},{},{},{1},{2,5},{3,6},{3,4,5}}
{{},{},{},{},{1},{2,5},{3,6},{3,4,6}}
{{},{},{},{},{1},{2,5},{3,6},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{3,6},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{1,2,3},{7}}
{{},{},{},{},{1},{2,5},{1,2,3},{4,7}}
{{},{},{},{},{1},{2,5},{1,2,3},{5,7}}
{{},{},{},{},{1},{2,5},{1,2,3},{6,7}}
{{},{},{},{},{1},{2,5},{1,2,3},{1,2,3}}
{{},{},{},{},{1},{2,5},{1,2,3},{1,2,4}}
{{},{},{},{},{1},{2,5},{1,2,3},{1,3,4}}
{{},{},{},{},{1},{2,5},{1,2,3},{2,3,4}}
{{},{},{},{},{1},{2,5},{1,2,3},{2,3,5}}
{{},{},{},{},{1},{2,5},{1,2,3},{2,4,5}}
{{},{},{},{},{1},{2,5},{1,2,3},{3,4,5}}
{{},{},{},{},{1},{2,5},{1,2,3},{3,4,6}}
{{},{},{},{},{1},{2,5},{1,2,3},{4,5,7}}
{{},{},{},{},{1},{2,5},{1,2,3},{4,6,7}}
{{},{},{},{},{1},{2,5},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{1,2,3},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{1,3,4},{7}}
{{},{},{},{},{1},{2,5},{1,3,4},{2,7}}
{{},{},{},{},{1},{2,5},{1,3,4},{5,7}}
{{},{},{},{},{1},{2,5},{1,3,4},{6,7}}
{{},{},{},{},{1},{2,5},{1,3,4},{1,3,4}}
{{},{},{},{},{1},{2,5},{1,3,4},{2,3,4}}
{{},{},{},{},{1},{2,5},{1,3,4},{2,3,5}}
{{},{},{},{},{1},{2,5},{1,3,4},{2,5,7}}
{{},{},{},{},{1},{2,5},{1,3,4},{3,4,5}}
{{},{},{},{},{1},{2,5},{1,3,4},{3,4,6}}
{{},{},{},{},{1},{2,5},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{1,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{2,3,4},{7}}
{{},{},{},{},{1},{2,5},{2,3,4},{1,7}}
{{},{},{},{},{1},{2,5},{2,3,4},{5,7}}
{{},{},{},{},{1},{2,5},{2,3,4},{6,7}}
{{},{},{},{},{1},{2,5},{2,3,4},{2,3,4}}
{{},{},{},{},{1},{2,5},{2,3,4},{2,3,5}}
{{},{},{},{},{1},{2,5},{2,3,4},{3,4,5}}
{{},{},{},{},{1},{2,5},{2,3,4},{3,4,6}}
{{},{},{},{},{1},{2,5},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{2,3,5},{7}}
{{},{},{},{},{1},{2,5},{2,3,5},{4,7}}
{{},{},{},{},{1},{2,5},{2,3,5},{6,7}}
{{},{},{},{},{1},{2,5},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{2,5},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{2,5},{2,3,5},{3,4,5}}
{{},{},{},{},{1},{2,5},{2,3,5},{3,4,6}}
{{},{},{},{},{1},{2,5},{2,3,5},{4,6,7}}
{{},{},{},{},{1},{2,5},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{3,4,5},{7}}
{{},{},{},{},{1},{2,5},{3,4,5},{2,7}}
{{},{},{},{},{1},{2,5},{3,4,5},{6,7}}
{{},{},{},{},{1},{2,5},{3,4,5},{3,4,5}}
{{},{},{},{},{1},{2,5},{3,4,5},{3,4,6}}
{{},{},{},{},{1},{2,5},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{3,4,6},{7}}
{{},{},{},{},{1},{2,5},{3,4,6},{3,4,6}}
{{},{},{},{},{1},{2,5},{3,4,6},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{3,4,6},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{1,2,3,4},{7}}
{{},{},{},{},{1},{2,5},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{2,5},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{2,5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,5},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,5},{2,3,4,5},{7}}
{{},{},{},{},{1},{2,5},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{2,5},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{6},{6}}
{{},{},{},{},{1},{1,2,3},{6},{7}}
{{},{},{},{},{1},{1,2,3},{6},{4,6}}
{{},{},{},{},{1},{1,2,3},{6},{4,7}}
{{},{},{},{},{1},{1,2,3},{6},{5,6}}
{{},{},{},{},{1},{1,2,3},{6},{5,7}}
{{},{},{},{},{1},{1,2,3},{6},{1,2,3}}
{{},{},{},{},{1},{1,2,3},{6},{1,2,4}}
{{},{},{},{},{1},{1,2,3},{6},{2,3,4}}
{{},{},{},{},{1},{1,2,3},{6},{2,3,5}}
{{},{},{},{},{1},{1,2,3},{6},{2,4,5}}
{{},{},{},{},{1},{1,2,3},{6},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{6},{4,5,7}}
{{},{},{},{},{1},{1,2,3},{6},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{6},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{4,6},{7}}
{{},{},{},{},{1},{1,2,3},{4,6},{4,6}}
{{},{},{},{},{1},{1,2,3},{4,6},{5,6}}
{{},{},{},{},{1},{1,2,3},{4,6},{5,7}}
{{},{},{},{},{1},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{},{1},{1,2,3},{4,6},{1,2,4}}
{{},{},{},{},{1},{1,2,3},{4,6},{2,3,4}}
{{},{},{},{},{1},{1,2,3},{4,6},{2,3,5}}
{{},{},{},{},{1},{1,2,3},{4,6},{2,4,5}}
{{},{},{},{},{1},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{4,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{4,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{5,6},{7}}
{{},{},{},{},{1},{1,2,3},{5,6},{4,7}}
{{},{},{},{},{1},{1,2,3},{5,6},{5,6}}
{{},{},{},{},{1},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{},{1},{1,2,3},{5,6},{1,2,4}}
{{},{},{},{},{1},{1,2,3},{5,6},{2,3,4}}
{{},{},{},{},{1},{1,2,3},{5,6},{2,3,5}}
{{},{},{},{},{1},{1,2,3},{5,6},{2,4,5}}
{{},{},{},{},{1},{1,2,3},{5,6},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{5,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{5,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{1,2,4}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{2,3,4}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{2,3,5}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{2,4,5}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{1,3,4}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{2,3,4}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{2,3,5}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{3,4,5}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{3,5,7}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{5,6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{1,2,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{7}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{1,7}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{5,7}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{6,7}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{2,3,4}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{2,3,5}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{2,4,5}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{5,6,7}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{7}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{4,7}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{6,7}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{4,6,7}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{7}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{3,7}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{6,7}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{2,4,5}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{3,4,5}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{2,4,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{4,5,6},{7}}
{{},{},{},{},{1},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{},{1},{1,2,3},{4,5,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{4,5,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{1,2,3,4},{7}}
{{},{},{},{},{1},{1,2,3},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{1,2,3},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1},{1,2,3},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3},{2,3,4,5},{7}}
{{},{},{},{},{1},{1,2,3},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{1,2,3},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4},{6},{6}}
{{},{},{},{},{1},{2,3,4},{6},{7}}
{{},{},{},{},{1},{2,3,4},{6},{1,6}}
{{},{},{},{},{1},{2,3,4},{6},{1,7}}
{{},{},{},{},{1},{2,3,4},{6},{5,6}}
{{},{},{},{},{1},{2,3,4},{6},{5,7}}
{{},{},{},{},{1},{2,3,4},{6},{2,3,4}}
{{},{},{},{},{1},{2,3,4},{6},{2,3,5}}
{{},{},{},{},{1},{2,3,4},{6},{1,2,3,4}}
{{},{},{},{},{1},{2,3,4},{6},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4},{1,6},{7}}
{{},{},{},{},{1},{2,3,4},{1,6},{1,6}}
{{},{},{},{},{1},{2,3,4},{1,6},{5,6}}
{{},{},{},{},{1},{2,3,4},{1,6},{5,7}}
{{},{},{},{},{1},{2,3,4},{1,6},{2,3,4}}
{{},{},{},{},{1},{2,3,4},{1,6},{2,3,5}}
{{},{},{},{},{1},{2,3,4},{1,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3,4},{1,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4},{5,6},{7}}
{{},{},{},{},{1},{2,3,4},{5,6},{5,6}}
{{},{},{},{},{1},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{},{1},{2,3,4},{5,6},{2,3,5}}
{{},{},{},{},{1},{2,3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3,4},{5,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4},{2,3,4},{6,7}}
{{},{},{},{},{1},{2,3,4},{2,3,4},{1,6,7}}
{{},{},{},{},{1},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{},{1},{2,3,4},{2,3,4},{2,3,5}}
{{},{},{},{},{1},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{},{1},{2,3,4},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,3,4},{2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4},{2,3,5},{7}}
{{},{},{},{},{1},{2,3,4},{2,3,5},{4,7}}
{{},{},{},{},{1},{2,3,4},{2,3,5},{6,7}}
{{},{},{},{},{1},{2,3,4},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{2,3,4},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{2,3,4},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{2,3,4},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4},{1,2,3,4},{7}}
{{},{},{},{},{1},{2,3,4},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{2,3,4},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{2,3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1},{2,3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,3,4},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4},{2,3,4,5},{7}}
{{},{},{},{},{1},{2,3,4},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{2,3,4},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3,5},{6},{6}}
{{},{},{},{},{1},{2,3,5},{6},{7}}
{{},{},{},{},{1},{2,3,5},{6},{4,6}}
{{},{},{},{},{1},{2,3,5},{6},{4,7}}
{{},{},{},{},{1},{2,3,5},{6},{2,3,5}}
{{},{},{},{},{1},{2,3,5},{6},{2,4,5}}
{{},{},{},{},{1},{2,3,5},{6},{1,2,3,4}}
{{},{},{},{},{1},{2,3,5},{6},{2,3,4,5}}
{{},{},{},{},{1},{2,3,5},{4,6},{7}}
{{},{},{},{},{1},{2,3,5},{4,6},{4,6}}
{{},{},{},{},{1},{2,3,5},{4,6},{2,3,5}}
{{},{},{},{},{1},{2,3,5},{4,6},{2,4,5}}
{{},{},{},{},{1},{2,3,5},{4,6},{1,2,3,4}}
{{},{},{},{},{1},{2,3,5},{4,6},{2,3,4,5}}
{{},{},{},{},{1},{2,3,5},{2,3,5},{6,7}}
{{},{},{},{},{1},{2,3,5},{2,3,5},{2,3,5}}
{{},{},{},{},{1},{2,3,5},{2,3,5},{2,4,5}}
{{},{},{},{},{1},{2,3,5},{2,3,5},{4,6,7}}
{{},{},{},{},{1},{2,3,5},{2,3,5},{1,2,3,4}}
{{},{},{},{},{1},{2,3,5},{2,3,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3,5},{2,4,5},{6,7}}
{{},{},{},{},{1},{2,3,5},{2,4,5},{3,4,5}}
{{},{},{},{},{1},{2,3,5},{2,4,5},{1,2,3,4}}
{{},{},{},{},{1},{2,3,5},{2,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3,5},{1,2,3,4},{7}}
{{},{},{},{},{1},{2,3,5},{1,2,3,4},{5,7}}
{{},{},{},{},{1},{2,3,5},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{2,3,5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{2,3,5},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{2,3,5},{2,3,4,5},{7}}
{{},{},{},{},{1},{2,3,5},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{2,3,5},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3,4},{6},{6}}
{{},{},{},{},{1},{1,2,3,4},{6},{7}}
{{},{},{},{},{1},{1,2,3,4},{6},{5,6}}
{{},{},{},{},{1},{1,2,3,4},{6},{5,7}}
{{},{},{},{},{1},{1,2,3,4},{6},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3,4},{6},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3,4},{5,6},{7}}
{{},{},{},{},{1},{1,2,3,4},{5,6},{5,6}}
{{},{},{},{},{1},{1,2,3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3,4},{5,6},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3,4},{1,2,3,4},{6,7}}
{{},{},{},{},{1},{1,2,3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1},{1,2,3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1},{1,2,3,4},{1,2,3,4},{2,3,4,5}}
{{},{},{},{},{1},{1,2,3,4},{2,3,4,5},{7}}
{{},{},{},{},{1},{1,2,3,4},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{1,2,3,4},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4,5},{6},{6}}
{{},{},{},{},{1},{2,3,4,5},{6},{7}}
{{},{},{},{},{1},{2,3,4,5},{6},{2,3,4,5}}
{{},{},{},{},{1},{2,3,4,5},{2,3,4,5},{6,7}}
{{},{},{},{},{1},{2,3,4,5},{2,3,4,5},{2,3,4,5}}
{{},{},{},{},{1,2},{5},{5},{5}}
{{},{},{},{},{1,2},{5},{5},{6}}
{{},{},{},{},{1,2},{5},{5},{1,2}}
{{},{},{},{},{1,2},{5},{5},{1,3}}
{{},{},{},{},{1,2},{5},{5},{3,4}}
{{},{},{},{},{1,2},{5},{5},{3,5}}
{{},{},{},{},{1,2},{5},{5},{3,6}}
{{},{},{},{},{1,2},{5},{5},{6,7}}
{{},{},{},{},{1,2},{5},{5},{1,2,3}}
{{},{},{},{},{1,2},{5},{5},{1,3,4}}
{{},{},{},{},{1,2},{5},{5},{3,4,5}}
{{},{},{},{},{1,2},{5},{5},{3,4,6}}
{{},{},{},{},{1,2},{5},{5},{3,6,7}}
{{},{},{},{},{1,2},{5},{5},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{5},{3,4,6,7}}
{{},{},{},{},{1,2},{5},{6},{6}}
{{},{},{},{},{1,2},{5},{6},{7}}
{{},{},{},{},{1,2},{5},{6},{1,2}}
{{},{},{},{},{1,2},{5},{6},{1,3}}
{{},{},{},{},{1,2},{5},{6},{3,4}}
{{},{},{},{},{1,2},{5},{6},{3,5}}
{{},{},{},{},{1,2},{5},{6},{3,6}}
{{},{},{},{},{1,2},{5},{6},{3,7}}
{{},{},{},{},{1,2},{5},{6},{1,2,3}}
{{},{},{},{},{1,2},{5},{6},{1,3,4}}
{{},{},{},{},{1,2},{5},{6},{3,4,5}}
{{},{},{},{},{1,2},{5},{6},{3,4,6}}
{{},{},{},{},{1,2},{5},{6},{3,4,7}}
{{},{},{},{},{1,2},{5},{6},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{1,2},{7}}
{{},{},{},{},{1,2},{5},{1,2},{1,2}}
{{},{},{},{},{1,2},{5},{1,2},{1,3}}
{{},{},{},{},{1,2},{5},{1,2},{3,4}}
{{},{},{},{},{1,2},{5},{1,2},{3,5}}
{{},{},{},{},{1,2},{5},{1,2},{3,6}}
{{},{},{},{},{1,2},{5},{1,2},{3,7}}
{{},{},{},{},{1,2},{5},{1,2},{5,7}}
{{},{},{},{},{1,2},{5},{1,2},{6,7}}
{{},{},{},{},{1,2},{5},{1,2},{1,2,3}}
{{},{},{},{},{1,2},{5},{1,2},{1,3,4}}
{{},{},{},{},{1,2},{5},{1,2},{3,4,5}}
{{},{},{},{},{1,2},{5},{1,2},{3,4,6}}
{{},{},{},{},{1,2},{5},{1,2},{3,4,7}}
{{},{},{},{},{1,2},{5},{1,2},{3,5,7}}
{{},{},{},{},{1,2},{5},{1,2},{3,6,7}}
{{},{},{},{},{1,2},{5},{1,2},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{1,2},{3,4,5,7}}
{{},{},{},{},{1,2},{5},{1,2},{3,4,6,7}}
{{},{},{},{},{1,2},{5},{1,3},{7}}
{{},{},{},{},{1,2},{5},{1,3},{1,3}}
{{},{},{},{},{1,2},{5},{1,3},{1,4}}
{{},{},{},{},{1,2},{5},{1,3},{2,3}}
{{},{},{},{},{1,2},{5},{1,3},{2,4}}
{{},{},{},{},{1,2},{5},{1,3},{2,7}}
{{},{},{},{},{1,2},{5},{1,3},{3,4}}
{{},{},{},{},{1,2},{5},{1,3},{3,5}}
{{},{},{},{},{1,2},{5},{1,3},{3,6}}
{{},{},{},{},{1,2},{5},{1,3},{4,5}}
{{},{},{},{},{1,2},{5},{1,3},{4,6}}
{{},{},{},{},{1,2},{5},{1,3},{4,7}}
{{},{},{},{},{1,2},{5},{1,3},{5,7}}
{{},{},{},{},{1,2},{5},{1,3},{6,7}}
{{},{},{},{},{1,2},{5},{1,3},{1,2,3}}
{{},{},{},{},{1,2},{5},{1,3},{1,2,4}}
{{},{},{},{},{1,2},{5},{1,3},{1,3,4}}
{{},{},{},{},{1,2},{5},{1,3},{2,3,4}}
{{},{},{},{},{1,2},{5},{1,3},{2,4,7}}
{{},{},{},{},{1,2},{5},{1,3},{3,4,5}}
{{},{},{},{},{1,2},{5},{1,3},{3,4,6}}
{{},{},{},{},{1,2},{5},{1,3},{4,5,7}}
{{},{},{},{},{1,2},{5},{1,3},{4,6,7}}
{{},{},{},{},{1,2},{5},{1,3},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{3,4},{7}}
{{},{},{},{},{1,2},{5},{3,4},{1,7}}
{{},{},{},{},{1,2},{5},{3,4},{3,4}}
{{},{},{},{},{1,2},{5},{3,4},{3,5}}
{{},{},{},{},{1,2},{5},{3,4},{3,6}}
{{},{},{},{},{1,2},{5},{3,4},{5,7}}
{{},{},{},{},{1,2},{5},{3,4},{6,7}}
{{},{},{},{},{1,2},{5},{3,4},{1,2,3}}
{{},{},{},{},{1,2},{5},{3,4},{1,2,7}}
{{},{},{},{},{1,2},{5},{3,4},{1,3,4}}
{{},{},{},{},{1,2},{5},{3,4},{3,4,5}}
{{},{},{},{},{1,2},{5},{3,4},{3,4,6}}
{{},{},{},{},{1,2},{5},{3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{3,5},{7}}
{{},{},{},{},{1,2},{5},{3,5},{3,5}}
{{},{},{},{},{1,2},{5},{3,5},{3,6}}
{{},{},{},{},{1,2},{5},{3,5},{4,5}}
{{},{},{},{},{1,2},{5},{3,5},{4,6}}
{{},{},{},{},{1,2},{5},{3,5},{4,7}}
{{},{},{},{},{1,2},{5},{3,5},{6,7}}
{{},{},{},{},{1,2},{5},{3,5},{1,2,3}}
{{},{},{},{},{1,2},{5},{3,5},{1,2,4}}
{{},{},{},{},{1,2},{5},{3,5},{1,3,4}}
{{},{},{},{},{1,2},{5},{3,5},{3,4,5}}
{{},{},{},{},{1,2},{5},{3,5},{3,4,6}}
{{},{},{},{},{1,2},{5},{3,5},{4,6,7}}
{{},{},{},{},{1,2},{5},{3,5},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{3,6},{7}}
{{},{},{},{},{1,2},{5},{3,6},{3,6}}
{{},{},{},{},{1,2},{5},{3,6},{4,6}}
{{},{},{},{},{1,2},{5},{3,6},{4,7}}
{{},{},{},{},{1,2},{5},{3,6},{1,2,3}}
{{},{},{},{},{1,2},{5},{3,6},{1,2,4}}
{{},{},{},{},{1,2},{5},{3,6},{1,3,4}}
{{},{},{},{},{1,2},{5},{3,6},{3,4,5}}
{{},{},{},{},{1,2},{5},{3,6},{3,4,6}}
{{},{},{},{},{1,2},{5},{3,6},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{1,2,3},{7}}
{{},{},{},{},{1,2},{5},{1,2,3},{4,7}}
{{},{},{},{},{1,2},{5},{1,2,3},{5,7}}
{{},{},{},{},{1,2},{5},{1,2,3},{6,7}}
{{},{},{},{},{1,2},{5},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2},{5},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2},{5},{1,2,3},{1,3,4}}
{{},{},{},{},{1,2},{5},{1,2,3},{3,4,5}}
{{},{},{},{},{1,2},{5},{1,2,3},{3,4,6}}
{{},{},{},{},{1,2},{5},{1,2,3},{4,5,7}}
{{},{},{},{},{1,2},{5},{1,2,3},{4,6,7}}
{{},{},{},{},{1,2},{5},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{1,3,4},{7}}
{{},{},{},{},{1,2},{5},{1,3,4},{2,7}}
{{},{},{},{},{1,2},{5},{1,3,4},{5,7}}
{{},{},{},{},{1,2},{5},{1,3,4},{6,7}}
{{},{},{},{},{1,2},{5},{1,3,4},{1,3,4}}
{{},{},{},{},{1,2},{5},{1,3,4},{2,3,4}}
{{},{},{},{},{1,2},{5},{1,3,4},{3,4,5}}
{{},{},{},{},{1,2},{5},{1,3,4},{3,4,6}}
{{},{},{},{},{1,2},{5},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{3,4,5},{7}}
{{},{},{},{},{1,2},{5},{3,4,5},{6,7}}
{{},{},{},{},{1,2},{5},{3,4,5},{3,4,5}}
{{},{},{},{},{1,2},{5},{3,4,5},{3,4,6}}
{{},{},{},{},{1,2},{5},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{3,4,6},{7}}
{{},{},{},{},{1,2},{5},{3,4,6},{3,4,6}}
{{},{},{},{},{1,2},{5},{3,4,6},{1,2,3,4}}
{{},{},{},{},{1,2},{5},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{5},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{5},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2},{5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,2},{1,2}}
{{},{},{},{},{1,2},{1,2},{1,2},{1,3}}
{{},{},{},{},{1,2},{1,2},{1,2},{3,4}}
{{},{},{},{},{1,2},{1,2},{1,2},{3,5}}
{{},{},{},{},{1,2},{1,2},{1,2},{5,6}}
{{},{},{},{},{1,2},{1,2},{1,2},{1,2,3}}
{{},{},{},{},{1,2},{1,2},{1,2},{1,3,4}}
{{},{},{},{},{1,2},{1,2},{1,2},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{1,2},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{1,2},{5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,2},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,2},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{1,2},{3,5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,3},{1,3}}
{{},{},{},{},{1,2},{1,2},{1,3},{1,4}}
{{},{},{},{},{1,2},{1,2},{1,3},{2,3}}
{{},{},{},{},{1,2},{1,2},{1,3},{2,4}}
{{},{},{},{},{1,2},{1,2},{1,3},{2,7}}
{{},{},{},{},{1,2},{1,2},{1,3},{3,4}}
{{},{},{},{},{1,2},{1,2},{1,3},{3,5}}
{{},{},{},{},{1,2},{1,2},{1,3},{4,5}}
{{},{},{},{},{1,2},{1,2},{1,3},{4,7}}
{{},{},{},{},{1,2},{1,2},{1,3},{5,6}}
{{},{},{},{},{1,2},{1,2},{1,3},{5,7}}
{{},{},{},{},{1,2},{1,2},{1,3},{1,2,3}}
{{},{},{},{},{1,2},{1,2},{1,3},{1,2,4}}
{{},{},{},{},{1,2},{1,2},{1,3},{1,3,4}}
{{},{},{},{},{1,2},{1,2},{1,3},{2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,3},{2,4,7}}
{{},{},{},{},{1,2},{1,2},{1,3},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{1,3},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{1,3},{4,5,6}}
{{},{},{},{},{1,2},{1,2},{1,3},{4,5,7}}
{{},{},{},{},{1,2},{1,2},{1,3},{5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,3},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,3},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{1,3},{4,5,6,7}}
{{},{},{},{},{1,2},{1,2},{3,4},{1,7}}
{{},{},{},{},{1,2},{1,2},{3,4},{3,4}}
{{},{},{},{},{1,2},{1,2},{3,4},{3,5}}
{{},{},{},{},{1,2},{1,2},{3,4},{5,6}}
{{},{},{},{},{1,2},{1,2},{3,4},{5,7}}
{{},{},{},{},{1,2},{1,2},{3,4},{1,2,3}}
{{},{},{},{},{1,2},{1,2},{3,4},{1,2,7}}
{{},{},{},{},{1,2},{1,2},{3,4},{1,3,4}}
{{},{},{},{},{1,2},{1,2},{3,4},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{3,4},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,2},{3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{3,4},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{3,5},{7}}
{{},{},{},{},{1,2},{1,2},{3,5},{3,5}}
{{},{},{},{},{1,2},{1,2},{3,5},{3,6}}
{{},{},{},{},{1,2},{1,2},{3,5},{4,5}}
{{},{},{},{},{1,2},{1,2},{3,5},{4,6}}
{{},{},{},{},{1,2},{1,2},{3,5},{4,7}}
{{},{},{},{},{1,2},{1,2},{3,5},{5,6}}
{{},{},{},{},{1,2},{1,2},{3,5},{6,7}}
{{},{},{},{},{1,2},{1,2},{3,5},{1,2,3}}
{{},{},{},{},{1,2},{1,2},{3,5},{1,2,4}}
{{},{},{},{},{1,2},{1,2},{3,5},{1,3,4}}
{{},{},{},{},{1,2},{1,2},{3,5},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{3,5},{3,4,6}}
{{},{},{},{},{1,2},{1,2},{3,5},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{3,5},{4,5,6}}
{{},{},{},{},{1,2},{1,2},{3,5},{4,6,7}}
{{},{},{},{},{1,2},{1,2},{3,5},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{3,5},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{5,6},{7}}
{{},{},{},{},{1,2},{1,2},{5,6},{3,7}}
{{},{},{},{},{1,2},{1,2},{5,6},{5,6}}
{{},{},{},{},{1,2},{1,2},{5,6},{1,2,3}}
{{},{},{},{},{1,2},{1,2},{5,6},{1,3,4}}
{{},{},{},{},{1,2},{1,2},{5,6},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{5,6},{3,4,7}}
{{},{},{},{},{1,2},{1,2},{5,6},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{5,6},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{7}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{4,7}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{5,7}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{1,3,4}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{4,5,6}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{4,5,7}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{7}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{2,7}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{5,7}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{1,3,4}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,3,4},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{3,4,5},{7}}
{{},{},{},{},{1,2},{1,2},{3,4,5},{6,7}}
{{},{},{},{},{1,2},{1,2},{3,4,5},{3,4,5}}
{{},{},{},{},{1,2},{1,2},{3,4,5},{3,4,6}}
{{},{},{},{},{1,2},{1,2},{3,4,5},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{3,5,6},{7}}
{{},{},{},{},{1,2},{1,2},{3,5,6},{4,7}}
{{},{},{},{},{1,2},{1,2},{3,5,6},{3,5,6}}
{{},{},{},{},{1,2},{1,2},{3,5,6},{4,5,6}}
{{},{},{},{},{1,2},{1,2},{3,5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{3,5,6},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{1,2},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{1,2},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,2},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2},{1,2,3,4},{3,4,5,6}}
{{},{},{},{},{1,2},{1,2},{3,4,5,6},{7}}
{{},{},{},{},{1,2},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{},{1,2},{1,3},{1,4},{2,3}}
{{},{},{},{},{1,2},{1,3},{1,4},{2,6}}
{{},{},{},{},{1,2},{1,3},{1,4},{5,6}}
{{},{},{},{},{1,2},{1,3},{1,4},{1,2,3}}
{{},{},{},{},{1,2},{1,3},{1,4},{2,3,4}}
{{},{},{},{},{1,2},{1,3},{1,4},{2,3,7}}
{{},{},{},{},{1,2},{1,3},{1,4},{2,6,7}}
{{},{},{},{},{1,2},{1,3},{1,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3},{1,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{2,3},{1,7}}
{{},{},{},{},{1,2},{1,3},{2,3},{4,5}}
{{},{},{},{},{1,2},{1,3},{2,3},{5,6}}
{{},{},{},{},{1,2},{1,3},{2,3},{1,2,3}}
{{},{},{},{},{1,2},{1,3},{2,3},{1,2,4}}
{{},{},{},{},{1,2},{1,3},{2,3},{1,4,7}}
{{},{},{},{},{1,2},{1,3},{2,3},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{2,3},{5,6,7}}
{{},{},{},{},{1,2},{1,3},{2,3},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{2,3},{4,5,6,7}}
{{},{},{},{},{1,2},{1,3},{2,4},{1,7}}
{{},{},{},{},{1,2},{1,3},{2,4},{3,4}}
{{},{},{},{},{1,2},{1,3},{2,4},{3,5}}
{{},{},{},{},{1,2},{1,3},{2,4},{3,7}}
{{},{},{},{},{1,2},{1,3},{2,4},{5,6}}
{{},{},{},{},{1,2},{1,3},{2,4},{6,7}}
{{},{},{},{},{1,2},{1,3},{2,4},{1,2,3}}
{{},{},{},{},{1,2},{1,3},{2,4},{1,3,4}}
{{},{},{},{},{1,2},{1,3},{2,4},{1,3,7}}
{{},{},{},{},{1,2},{1,3},{2,4},{3,4,5}}
{{},{},{},{},{1,2},{1,3},{2,4},{3,5,7}}
{{},{},{},{},{1,2},{1,3},{2,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3},{2,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{2,6},{7}}
{{},{},{},{},{1,2},{1,3},{2,6},{2,6}}
{{},{},{},{},{1,2},{1,3},{2,6},{3,5}}
{{},{},{},{},{1,2},{1,3},{2,6},{4,5}}
{{},{},{},{},{1,2},{1,3},{2,6},{4,6}}
{{},{},{},{},{1,2},{1,3},{2,6},{4,7}}
{{},{},{},{},{1,2},{1,3},{2,6},{5,6}}
{{},{},{},{},{1,2},{1,3},{2,6},{5,7}}
{{},{},{},{},{1,2},{1,3},{2,6},{1,2,3}}
{{},{},{},{},{1,2},{1,3},{2,6},{1,2,4}}
{{},{},{},{},{1,2},{1,3},{2,6},{1,3,4}}
{{},{},{},{},{1,2},{1,3},{2,6},{2,3,4}}
{{},{},{},{},{1,2},{1,3},{2,6},{2,4,6}}
{{},{},{},{},{1,2},{1,3},{2,6},{3,4,5}}
{{},{},{},{},{1,2},{1,3},{2,6},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{2,6},{4,5,7}}
{{},{},{},{},{1,2},{1,3},{2,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{4,5},{7}}
{{},{},{},{},{1,2},{1,3},{4,5},{3,7}}
{{},{},{},{},{1,2},{1,3},{4,5},{4,5}}
{{},{},{},{},{1,2},{1,3},{4,5},{4,6}}
{{},{},{},{},{1,2},{1,3},{4,5},{5,6}}
{{},{},{},{},{1,2},{1,3},{4,5},{6,7}}
{{},{},{},{},{1,2},{1,3},{4,5},{1,2,3}}
{{},{},{},{},{1,2},{1,3},{4,5},{1,2,4}}
{{},{},{},{},{1,2},{1,3},{4,5},{1,3,4}}
{{},{},{},{},{1,2},{1,3},{4,5},{2,3,4}}
{{},{},{},{},{1,2},{1,3},{4,5},{2,4,6}}
{{},{},{},{},{1,2},{1,3},{4,5},{3,4,5}}
{{},{},{},{},{1,2},{1,3},{4,5},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{5,6},{7}}
{{},{},{},{},{1,2},{1,3},{5,6},{4,7}}
{{},{},{},{},{1,2},{1,3},{5,6},{5,6}}
{{},{},{},{},{1,2},{1,3},{5,6},{1,2,3}}
{{},{},{},{},{1,2},{1,3},{5,6},{1,2,4}}
{{},{},{},{},{1,2},{1,3},{5,6},{2,3,4}}
{{},{},{},{},{1,2},{1,3},{5,6},{2,4,6}}
{{},{},{},{},{1,2},{1,3},{5,6},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{7}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{4,7}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{5,7}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{2,3,4}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{2,4,6}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{4,5,7}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{5,6,7}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{7}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{3,7}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{5,7}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{6,7}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{1,2,4}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{1,3,4}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{2,3,4}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{2,4,6}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{3,4,5}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{3,5,7}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{7}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{1,7}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{5,7}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{2,3,4}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{2,4,6}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{2,4,6},{7}}
{{},{},{},{},{1,2},{1,3},{2,4,6},{5,7}}
{{},{},{},{},{1,2},{1,3},{2,4,6},{2,4,6}}
{{},{},{},{},{1,2},{1,3},{2,4,6},{3,4,5}}
{{},{},{},{},{1,2},{1,3},{2,4,6},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{2,4,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{4,5,6},{7}}
{{},{},{},{},{1,2},{1,3},{4,5,6},{4,5,6}}
{{},{},{},{},{1,2},{1,3},{4,5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{1,3},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{1,3},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4},{1,6},{7}}
{{},{},{},{},{1,2},{3,4},{1,6},{1,6}}
{{},{},{},{},{1,2},{3,4},{1,6},{2,6}}
{{},{},{},{},{1,2},{3,4},{1,6},{2,7}}
{{},{},{},{},{1,2},{3,4},{1,6},{3,5}}
{{},{},{},{},{1,2},{3,4},{1,6},{5,6}}
{{},{},{},{},{1,2},{3,4},{1,6},{5,7}}
{{},{},{},{},{1,2},{3,4},{1,6},{1,2,3}}
{{},{},{},{},{1,2},{3,4},{1,6},{1,2,6}}
{{},{},{},{},{1,2},{3,4},{1,6},{1,3,4}}
{{},{},{},{},{1,2},{3,4},{1,6},{2,3,4}}
{{},{},{},{},{1,2},{3,4},{1,6},{3,4,5}}
{{},{},{},{},{1,2},{3,4},{1,6},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4},{5,6},{7}}
{{},{},{},{},{1,2},{3,4},{5,6},{5,6}}
{{},{},{},{},{1,2},{3,4},{5,6},{1,2,3}}
{{},{},{},{},{1,2},{3,4},{5,6},{1,2,6}}
{{},{},{},{},{1,2},{3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{7}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{4,7}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{5,7}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{6,7}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{1,2,6}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{1,3,4}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{3,4,5}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{4,5,7}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{5,6,7}}
{{},{},{},{},{1,2},{3,4},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4},{1,2,6},{7}}
{{},{},{},{},{1,2},{3,4},{1,2,6},{5,7}}
{{},{},{},{},{1,2},{3,4},{1,2,6},{1,2,6}}
{{},{},{},{},{1,2},{3,4},{1,2,6},{3,4,5}}
{{},{},{},{},{1,2},{3,4},{1,2,6},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{3,4},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{6},{6}}
{{},{},{},{},{1,2},{3,5},{6},{7}}
{{},{},{},{},{1,2},{3,5},{6},{3,5}}
{{},{},{},{},{1,2},{3,5},{6},{4,5}}
{{},{},{},{},{1,2},{3,5},{6},{4,6}}
{{},{},{},{},{1,2},{3,5},{6},{4,7}}
{{},{},{},{},{1,2},{3,5},{6},{1,2,3}}
{{},{},{},{},{1,2},{3,5},{6},{1,2,4}}
{{},{},{},{},{1,2},{3,5},{6},{1,3,4}}
{{},{},{},{},{1,2},{3,5},{6},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{6},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{3,5},{3,5}}
{{},{},{},{},{1,2},{3,5},{3,5},{4,5}}
{{},{},{},{},{1,2},{3,5},{3,5},{4,6}}
{{},{},{},{},{1,2},{3,5},{3,5},{6,7}}
{{},{},{},{},{1,2},{3,5},{3,5},{1,2,3}}
{{},{},{},{},{1,2},{3,5},{3,5},{1,2,4}}
{{},{},{},{},{1,2},{3,5},{3,5},{1,3,4}}
{{},{},{},{},{1,2},{3,5},{3,5},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{3,5},{4,6,7}}
{{},{},{},{},{1,2},{3,5},{3,5},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{4,5},{3,7}}
{{},{},{},{},{1,2},{3,5},{4,5},{6,7}}
{{},{},{},{},{1,2},{3,5},{4,5},{1,2,3}}
{{},{},{},{},{1,2},{3,5},{4,5},{1,3,4}}
{{},{},{},{},{1,2},{3,5},{4,5},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{4,6},{7}}
{{},{},{},{},{1,2},{3,5},{4,6},{4,6}}
{{},{},{},{},{1,2},{3,5},{4,6},{1,2,3}}
{{},{},{},{},{1,2},{3,5},{4,6},{1,2,4}}
{{},{},{},{},{1,2},{3,5},{4,6},{1,3,4}}
{{},{},{},{},{1,2},{3,5},{4,6},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{4,6},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{7}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{4,7}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{5,7}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{6,7}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{1,3,4}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{4,5,7}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{4,6,7}}
{{},{},{},{},{1,2},{3,5},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{7}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{3,7}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{5,7}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{6,7}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{1,2,4}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{1,3,4}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{3,5,7}}
{{},{},{},{},{1,2},{3,5},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{7}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{2,7}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{5,7}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{6,7}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{1,3,4}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{2,3,4}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{3,4,5},{7}}
{{},{},{},{},{1,2},{3,5},{3,4,5},{6,7}}
{{},{},{},{},{1,2},{3,5},{3,4,5},{3,4,5}}
{{},{},{},{},{1,2},{3,5},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{3,5},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{3,5},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{3,5},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2},{3,5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{6},{6}}
{{},{},{},{},{1,2},{1,2,3},{6},{7}}
{{},{},{},{},{1,2},{1,2,3},{6},{4,6}}
{{},{},{},{},{1,2},{1,2,3},{6},{4,7}}
{{},{},{},{},{1,2},{1,2,3},{6},{5,6}}
{{},{},{},{},{1,2},{1,2,3},{6},{5,7}}
{{},{},{},{},{1,2},{1,2,3},{6},{1,2,3}}
{{},{},{},{},{1,2},{1,2,3},{6},{1,2,4}}
{{},{},{},{},{1,2},{1,2,3},{6},{1,3,4}}
{{},{},{},{},{1,2},{1,2,3},{6},{3,4,5}}
{{},{},{},{},{1,2},{1,2,3},{6},{4,5,6}}
{{},{},{},{},{1,2},{1,2,3},{6},{4,5,7}}
{{},{},{},{},{1,2},{1,2,3},{6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{7}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{4,6}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{5,6}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{5,7}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{1,2,4}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{1,3,4}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{3,4,5}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{},{1,2},{1,2,3},{4,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{7}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{4,7}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{5,6}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{1,2,4}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{1,3,4}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{3,4,5}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{4,5,6}}
{{},{},{},{},{1,2},{1,2,3},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{1,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{3,4,5}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,4},{6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,4},{1,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,2,4},{3,4,5}}
{{},{},{},{},{1,2},{1,2,3},{1,2,4},{3,5,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,4},{5,6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{7}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{2,7}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{5,7}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{1,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{3,4,5}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{4,5,6}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{3,4,5},{7}}
{{},{},{},{},{1,2},{1,2,3},{3,4,5},{6,7}}
{{},{},{},{},{1,2},{1,2,3},{3,4,5},{3,4,5}}
{{},{},{},{},{1,2},{1,2,3},{3,4,5},{4,5,6}}
{{},{},{},{},{1,2},{1,2,3},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{4,5,6},{7}}
{{},{},{},{},{1,2},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{},{1,2},{1,2,3},{4,5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,2,3},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{6},{6}}
{{},{},{},{},{1,2},{1,3,4},{6},{7}}
{{},{},{},{},{1,2},{1,3,4},{6},{2,6}}
{{},{},{},{},{1,2},{1,3,4},{6},{2,7}}
{{},{},{},{},{1,2},{1,3,4},{6},{5,6}}
{{},{},{},{},{1,2},{1,3,4},{6},{5,7}}
{{},{},{},{},{1,2},{1,3,4},{6},{1,3,4}}
{{},{},{},{},{1,2},{1,3,4},{6},{2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{6},{3,4,5}}
{{},{},{},{},{1,2},{1,3,4},{6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{7}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{2,6}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{5,6}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{5,7}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{1,3,4}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{3,4,5}}
{{},{},{},{},{1,2},{1,3,4},{2,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{5,6},{7}}
{{},{},{},{},{1,2},{1,3,4},{5,6},{5,6}}
{{},{},{},{},{1,2},{1,3,4},{5,6},{1,3,4}}
{{},{},{},{},{1,2},{1,3,4},{5,6},{2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{5,6},{3,4,5}}
{{},{},{},{},{1,2},{1,3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{1,3,4},{6,7}}
{{},{},{},{},{1,2},{1,3,4},{1,3,4},{1,3,4}}
{{},{},{},{},{1,2},{1,3,4},{1,3,4},{2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{1,3,4},{2,6,7}}
{{},{},{},{},{1,2},{1,3,4},{1,3,4},{3,4,5}}
{{},{},{},{},{1,2},{1,3,4},{1,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3,4},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{2,3,4},{6,7}}
{{},{},{},{},{1,2},{1,3,4},{2,3,4},{3,4,5}}
{{},{},{},{},{1,2},{1,3,4},{2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3,4},{2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{3,4,5},{7}}
{{},{},{},{},{1,2},{1,3,4},{3,4,5},{6,7}}
{{},{},{},{},{1,2},{1,3,4},{3,4,5},{3,4,5}}
{{},{},{},{},{1,2},{1,3,4},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{1,3,4},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{1,3,4},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{1,3,4},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2},{1,3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4,5},{6},{6}}
{{},{},{},{},{1,2},{3,4,5},{6},{7}}
{{},{},{},{},{1,2},{3,4,5},{6},{3,4,5}}
{{},{},{},{},{1,2},{3,4,5},{6},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4,5},{3,4,5},{6,7}}
{{},{},{},{},{1,2},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{},{},{1,2},{3,4,5},{3,4,5},{1,2,3,4}}
{{},{},{},{},{1,2},{3,4,5},{1,2,3,4},{7}}
{{},{},{},{},{1,2},{3,4,5},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2},{3,4,5},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2},{3,4,5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3,4},{6},{6}}
{{},{},{},{},{1,2},{1,2,3,4},{6},{7}}
{{},{},{},{},{1,2},{1,2,3,4},{6},{5,6}}
{{},{},{},{},{1,2},{1,2,3,4},{6},{5,7}}
{{},{},{},{},{1,2},{1,2,3,4},{6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3,4},{5,6},{7}}
{{},{},{},{},{1,2},{1,2,3,4},{5,6},{5,6}}
{{},{},{},{},{1,2},{1,2,3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2},{1,2,3,4},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2},{1,2,3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2},{1,2,3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{5},{5},{5}}
{{},{},{},{},{1,2,3},{5},{5},{6}}
{{},{},{},{},{1,2,3},{5},{5},{4,5}}
{{},{},{},{},{1,2,3},{5},{5},{4,6}}
{{},{},{},{},{1,2,3},{5},{5},{6,7}}
{{},{},{},{},{1,2,3},{5},{5},{1,2,3}}
{{},{},{},{},{1,2,3},{5},{5},{1,2,4}}
{{},{},{},{},{1,2,3},{5},{5},{4,6,7}}
{{},{},{},{},{1,2,3},{5},{5},{1,2,3,4}}
{{},{},{},{},{1,2,3},{5},{6},{6}}
{{},{},{},{},{1,2,3},{5},{6},{7}}
{{},{},{},{},{1,2,3},{5},{6},{4,5}}
{{},{},{},{},{1,2,3},{5},{6},{4,6}}
{{},{},{},{},{1,2,3},{5},{6},{4,7}}
{{},{},{},{},{1,2,3},{5},{6},{1,2,3}}
{{},{},{},{},{1,2,3},{5},{6},{1,2,4}}
{{},{},{},{},{1,2,3},{5},{6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{5},{4,5},{7}}
{{},{},{},{},{1,2,3},{5},{4,5},{4,5}}
{{},{},{},{},{1,2,3},{5},{4,5},{4,6}}
{{},{},{},{},{1,2,3},{5},{4,5},{6,7}}
{{},{},{},{},{1,2,3},{5},{4,5},{1,2,3}}
{{},{},{},{},{1,2,3},{5},{4,5},{1,2,4}}
{{},{},{},{},{1,2,3},{5},{4,5},{1,2,3,4}}
{{},{},{},{},{1,2,3},{5},{4,6},{7}}
{{},{},{},{},{1,2,3},{5},{4,6},{4,6}}
{{},{},{},{},{1,2,3},{5},{4,6},{1,2,3}}
{{},{},{},{},{1,2,3},{5},{4,6},{1,2,4}}
{{},{},{},{},{1,2,3},{5},{4,6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{7}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{4,7}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{5,7}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{6,7}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{4,5,7}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{4,6,7}}
{{},{},{},{},{1,2,3},{5},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2,3},{5},{1,2,4},{7}}
{{},{},{},{},{1,2,3},{5},{1,2,4},{3,7}}
{{},{},{},{},{1,2,3},{5},{1,2,4},{5,7}}
{{},{},{},{},{1,2,3},{5},{1,2,4},{6,7}}
{{},{},{},{},{1,2,3},{5},{1,2,4},{1,2,4}}
{{},{},{},{},{1,2,3},{5},{1,2,4},{1,3,4}}
{{},{},{},{},{1,2,3},{5},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{5},{1,2,3,4},{7}}
{{},{},{},{},{1,2,3},{5},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2,3},{5},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2,3},{5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{4,5},{6},{6}}
{{},{},{},{},{1,2,3},{4,5},{6},{7}}
{{},{},{},{},{1,2,3},{4,5},{6},{4,5}}
{{},{},{},{},{1,2,3},{4,5},{6},{1,2,3}}
{{},{},{},{},{1,2,3},{4,5},{6},{1,2,4}}
{{},{},{},{},{1,2,3},{4,5},{6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{4,5},{4,5},{4,5}}
{{},{},{},{},{1,2,3},{4,5},{4,5},{6,7}}
{{},{},{},{},{1,2,3},{4,5},{4,5},{1,2,3}}
{{},{},{},{},{1,2,3},{4,5},{4,5},{1,2,4}}
{{},{},{},{},{1,2,3},{4,5},{4,5},{1,2,3,4}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3},{4,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3},{5,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3},{6,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2,3},{4,5},{1,2,4},{3,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,4},{5,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,4},{6,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,4},{1,2,4}}
{{},{},{},{},{1,2,3},{4,5},{1,2,4},{1,3,4}}
{{},{},{},{},{1,2,3},{4,5},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3,4},{7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2,3},{4,5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3},{5,6},{7}}
{{},{},{},{},{1,2,3},{1,2,3},{5,6},{4,7}}
{{},{},{},{},{1,2,3},{1,2,3},{5,6},{5,6}}
{{},{},{},{},{1,2,3},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{},{1,2,3},{1,2,3},{5,6},{1,2,4}}
{{},{},{},{},{1,2,3},{1,2,3},{5,6},{4,5,6}}
{{},{},{},{},{1,2,3},{1,2,3},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3},{1,2,4}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,4},{5,7}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,4},{1,2,4}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,4},{1,3,4}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,4},{4,5,6}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,4},{5,6,7}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3},{4,5,6},{7}}
{{},{},{},{},{1,2,3},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{},{1,2,3},{1,2,3},{4,5,6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3,4},{7}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2,3},{1,2,3},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,4},{5,6},{7}}
{{},{},{},{},{1,2,3},{1,2,4},{5,6},{5,6}}
{{},{},{},{},{1,2,3},{1,2,4},{5,6},{1,3,4}}
{{},{},{},{},{1,2,3},{1,2,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,4},{1,3,4},{2,3,4}}
{{},{},{},{},{1,2,3},{1,2,4},{1,3,4},{5,6,7}}
{{},{},{},{},{1,2,3},{1,2,4},{1,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,4},{1,2,3,4},{7}}
{{},{},{},{},{1,2,3},{1,2,4},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2,3},{1,2,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2,3},{1,2,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3,4},{6},{6}}
{{},{},{},{},{1,2,3},{1,2,3,4},{6},{7}}
{{},{},{},{},{1,2,3},{1,2,3,4},{6},{5,6}}
{{},{},{},{},{1,2,3},{1,2,3,4},{6},{5,7}}
{{},{},{},{},{1,2,3},{1,2,3,4},{6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3,4},{5,6},{7}}
{{},{},{},{},{1,2,3},{1,2,3,4},{5,6},{5,6}}
{{},{},{},{},{1,2,3},{1,2,3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2,3},{1,2,3,4},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2,3},{1,2,3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2,3},{1,2,3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3,4},{5},{5},{5}}
{{},{},{},{},{1,2,3,4},{5},{5},{6}}
{{},{},{},{},{1,2,3,4},{5},{5},{6,7}}
{{},{},{},{},{1,2,3,4},{5},{5},{1,2,3,4}}
{{},{},{},{},{1,2,3,4},{5},{6},{6}}
{{},{},{},{},{1,2,3,4},{5},{6},{7}}
{{},{},{},{},{1,2,3,4},{5},{6},{1,2,3,4}}
{{},{},{},{},{1,2,3,4},{5},{1,2,3,4},{7}}
{{},{},{},{},{1,2,3,4},{5},{1,2,3,4},{5,7}}
{{},{},{},{},{1,2,3,4},{5},{1,2,3,4},{6,7}}
{{},{},{},{},{1,2,3,4},{5},{1,2,3,4},{1,2,3,4}}
{{},{},{},{},{1,2,3,4},{1,2,3,4},{5,6},{7}}
{{},{},{},{},{1,2,3,4},{1,2,3,4},{5,6},{5,6}}
{{},{},{},{},{1,2,3,4},{1,2,3,4},{5,6},{1,2,3,4}}
{{},{},{},{},{1,2,3,4},{1,2,3,4},{1,2,3,4},{5,6,7}}
{{},{},{},{},{1,2,3,4},{1,2,3,4},{1,2,3,4},{1,2,3,4}}
{{},{},{},{1},{1},{1},{1},{1}}
{{},{},{},{1},{1},{1},{1},{2}}
{{},{},{},{1},{1},{1},{1},{4}}
{{},{},{},{1},{1},{1},{1},{1,2}}
{{},{},{},{1},{1},{1},{1},{2,3}}
{{},{},{},{1},{1},{1},{1},{2,4}}
{{},{},{},{1},{1},{1},{1},{4,5}}
{{},{},{},{1},{1},{1},{1},{1,2,3}}
{{},{},{},{1},{1},{1},{1},{2,3,4}}
{{},{},{},{1},{1},{1},{1},{2,4,5}}
{{},{},{},{1},{1},{1},{1},{4,5,6}}
{{},{},{},{1},{1},{1},{1},{2,3,4,5}}
{{},{},{},{1},{1},{1},{1},{2,4,5,6}}
{{},{},{},{1},{1},{1},{1},{4,5,6,7}}
{{},{},{},{1},{1},{1},{1},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{1},{2,4,5,6,7}}
{{},{},{},{1},{1},{1},{1},{2,3,4,5,6,7}}
{{},{},{},{1},{1},{1},{2},{2}}
{{},{},{},{1},{1},{1},{2},{3}}
{{},{},{},{1},{1},{1},{2},{4}}
{{},{},{},{1},{1},{1},{2},{7}}
{{},{},{},{1},{1},{1},{2},{1,2}}
{{},{},{},{1},{1},{1},{2},{1,3}}
{{},{},{},{1},{1},{1},{2},{1,7}}
{{},{},{},{1},{1},{1},{2},{2,3}}
{{},{},{},{1},{1},{1},{2},{2,4}}
{{},{},{},{1},{1},{1},{2},{3,4}}
{{},{},{},{1},{1},{1},{2},{3,7}}
{{},{},{},{1},{1},{1},{2},{4,5}}
{{},{},{},{1},{1},{1},{2},{4,7}}
{{},{},{},{1},{1},{1},{2},{1,2,3}}
{{},{},{},{1},{1},{1},{2},{1,3,7}}
{{},{},{},{1},{1},{1},{2},{2,3,4}}
{{},{},{},{1},{1},{1},{2},{2,4,5}}
{{},{},{},{1},{1},{1},{2},{3,4,5}}
{{},{},{},{1},{1},{1},{2},{3,4,7}}
{{},{},{},{1},{1},{1},{2},{4,5,6}}
{{},{},{},{1},{1},{1},{2},{4,5,7}}
{{},{},{},{1},{1},{1},{2},{2,3,4,5}}
{{},{},{},{1},{1},{1},{2},{2,4,5,6}}
{{},{},{},{1},{1},{1},{2},{3,4,5,6}}
{{},{},{},{1},{1},{1},{2},{3,4,5,7}}
{{},{},{},{1},{1},{1},{2},{4,5,6,7}}
{{},{},{},{1},{1},{1},{2},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{2},{3,4,5,6,7}}
{{},{},{},{1},{1},{1},{4},{4}}
{{},{},{},{1},{1},{1},{4},{5}}
{{},{},{},{1},{1},{1},{4},{7}}
{{},{},{},{1},{1},{1},{4},{1,2}}
{{},{},{},{1},{1},{1},{4},{2,3}}
{{},{},{},{1},{1},{1},{4},{2,4}}
{{},{},{},{1},{1},{1},{4},{2,5}}
{{},{},{},{1},{1},{1},{4},{2,7}}
{{},{},{},{1},{1},{1},{4},{4,5}}
{{},{},{},{1},{1},{1},{4},{5,6}}
{{},{},{},{1},{1},{1},{4},{5,7}}
{{},{},{},{1},{1},{1},{4},{1,2,3}}
{{},{},{},{1},{1},{1},{4},{2,3,4}}
{{},{},{},{1},{1},{1},{4},{2,3,5}}
{{},{},{},{1},{1},{1},{4},{2,3,7}}
{{},{},{},{1},{1},{1},{4},{2,4,5}}
{{},{},{},{1},{1},{1},{4},{2,5,6}}
{{},{},{},{1},{1},{1},{4},{2,5,7}}
{{},{},{},{1},{1},{1},{4},{4,5,6}}
{{},{},{},{1},{1},{1},{4},{5,6,7}}
{{},{},{},{1},{1},{1},{4},{2,3,4,5}}
{{},{},{},{1},{1},{1},{4},{2,3,5,6}}
{{},{},{},{1},{1},{1},{4},{2,3,5,7}}
{{},{},{},{1},{1},{1},{4},{2,4,5,6}}
{{},{},{},{1},{1},{1},{4},{2,5,6,7}}
{{},{},{},{1},{1},{1},{4},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{4},{2,3,5,6,7}}
{{},{},{},{1},{1},{1},{1,2},{7}}
{{},{},{},{1},{1},{1},{1,2},{1,2}}
{{},{},{},{1},{1},{1},{1,2},{1,3}}
{{},{},{},{1},{1},{1},{1,2},{2,3}}
{{},{},{},{1},{1},{1},{1,2},{2,4}}
{{},{},{},{1},{1},{1},{1,2},{3,4}}
{{},{},{},{1},{1},{1},{1,2},{3,7}}
{{},{},{},{1},{1},{1},{1,2},{4,5}}
{{},{},{},{1},{1},{1},{1,2},{4,7}}
{{},{},{},{1},{1},{1},{1,2},{1,2,3}}
{{},{},{},{1},{1},{1},{1,2},{2,3,4}}
{{},{},{},{1},{1},{1},{1,2},{2,4,5}}
{{},{},{},{1},{1},{1},{1,2},{3,4,5}}
{{},{},{},{1},{1},{1},{1,2},{3,4,7}}
{{},{},{},{1},{1},{1},{1,2},{4,5,6}}
{{},{},{},{1},{1},{1},{1,2},{4,5,7}}
{{},{},{},{1},{1},{1},{1,2},{2,3,4,5}}
{{},{},{},{1},{1},{1},{1,2},{2,4,5,6}}
{{},{},{},{1},{1},{1},{1,2},{3,4,5,6}}
{{},{},{},{1},{1},{1},{1,2},{3,4,5,7}}
{{},{},{},{1},{1},{1},{1,2},{4,5,6,7}}
{{},{},{},{1},{1},{1},{1,2},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{1,2},{3,4,5,6,7}}
{{},{},{},{1},{1},{1},{2,3},{7}}
{{},{},{},{1},{1},{1},{2,3},{1,7}}
{{},{},{},{1},{1},{1},{2,3},{2,3}}
{{},{},{},{1},{1},{1},{2,3},{2,4}}
{{},{},{},{1},{1},{1},{2,3},{4,5}}
{{},{},{},{1},{1},{1},{2,3},{4,7}}
{{},{},{},{1},{1},{1},{2,3},{1,2,3}}
{{},{},{},{1},{1},{1},{2,3},{2,3,4}}
{{},{},{},{1},{1},{1},{2,3},{2,4,5}}
{{},{},{},{1},{1},{1},{2,3},{4,5,6}}
{{},{},{},{1},{1},{1},{2,3},{4,5,7}}
{{},{},{},{1},{1},{1},{2,3},{2,3,4,5}}
{{},{},{},{1},{1},{1},{2,3},{2,4,5,6}}
{{},{},{},{1},{1},{1},{2,3},{4,5,6,7}}
{{},{},{},{1},{1},{1},{2,3},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{2,4},{7}}
{{},{},{},{1},{1},{1},{2,4},{2,4}}
{{},{},{},{1},{1},{1},{2,4},{2,5}}
{{},{},{},{1},{1},{1},{2,4},{3,4}}
{{},{},{},{1},{1},{1},{2,4},{3,5}}
{{},{},{},{1},{1},{1},{2,4},{3,7}}
{{},{},{},{1},{1},{1},{2,4},{4,5}}
{{},{},{},{1},{1},{1},{2,4},{5,6}}
{{},{},{},{1},{1},{1},{2,4},{5,7}}
{{},{},{},{1},{1},{1},{2,4},{1,2,3}}
{{},{},{},{1},{1},{1},{2,4},{2,3,4}}
{{},{},{},{1},{1},{1},{2,4},{2,3,5}}
{{},{},{},{1},{1},{1},{2,4},{2,4,5}}
{{},{},{},{1},{1},{1},{2,4},{2,5,6}}
{{},{},{},{1},{1},{1},{2,4},{3,4,5}}
{{},{},{},{1},{1},{1},{2,4},{3,5,6}}
{{},{},{},{1},{1},{1},{2,4},{3,5,7}}
{{},{},{},{1},{1},{1},{2,4},{4,5,6}}
{{},{},{},{1},{1},{1},{2,4},{5,6,7}}
{{},{},{},{1},{1},{1},{2,4},{2,3,4,5}}
{{},{},{},{1},{1},{1},{2,4},{2,3,5,6}}
{{},{},{},{1},{1},{1},{2,4},{2,4,5,6}}
{{},{},{},{1},{1},{1},{2,4},{3,4,5,6}}
{{},{},{},{1},{1},{1},{2,4},{3,5,6,7}}
{{},{},{},{1},{1},{1},{2,4},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{4,5},{7}}
{{},{},{},{1},{1},{1},{4,5},{2,7}}
{{},{},{},{1},{1},{1},{4,5},{4,5}}
{{},{},{},{1},{1},{1},{4,5},{4,6}}
{{},{},{},{1},{1},{1},{4,5},{6,7}}
{{},{},{},{1},{1},{1},{4,5},{1,2,3}}
{{},{},{},{1},{1},{1},{4,5},{2,3,4}}
{{},{},{},{1},{1},{1},{4,5},{2,3,6}}
{{},{},{},{1},{1},{1},{4,5},{2,3,7}}
{{},{},{},{1},{1},{1},{4,5},{2,4,5}}
{{},{},{},{1},{1},{1},{4,5},{2,4,6}}
{{},{},{},{1},{1},{1},{4,5},{2,6,7}}
{{},{},{},{1},{1},{1},{4,5},{4,5,6}}
{{},{},{},{1},{1},{1},{4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1},{4,5},{2,3,4,6}}
{{},{},{},{1},{1},{1},{4,5},{2,3,6,7}}
{{},{},{},{1},{1},{1},{4,5},{2,4,5,6}}
{{},{},{},{1},{1},{1},{4,5},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{1,2,3},{7}}
{{},{},{},{1},{1},{1},{1,2,3},{4,7}}
{{},{},{},{1},{1},{1},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{1},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{1},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{1},{1,2,3},{4,5,6}}
{{},{},{},{1},{1},{1},{1,2,3},{4,5,7}}
{{},{},{},{1},{1},{1},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{1},{1,2,3},{2,4,5,6}}
{{},{},{},{1},{1},{1},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1},{1},{1,2,3},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{2,3,4},{7}}
{{},{},{},{1},{1},{1},{2,3,4},{5,7}}
{{},{},{},{1},{1},{1},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{1},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{1},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{1},{2,3,4},{2,5,6}}
{{},{},{},{1},{1},{1},{2,3,4},{4,5,6}}
{{},{},{},{1},{1},{1},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{1},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{1},{2,3,4},{2,3,5,6}}
{{},{},{},{1},{1},{1},{2,3,4},{2,4,5,6}}
{{},{},{},{1},{1},{1},{2,3,4},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{2,4,5},{7}}
{{},{},{},{1},{1},{1},{2,4,5},{3,7}}
{{},{},{},{1},{1},{1},{2,4,5},{6,7}}
{{},{},{},{1},{1},{1},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{1},{2,4,5},{2,4,6}}
{{},{},{},{1},{1},{1},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{1},{2,4,5},{3,4,6}}
{{},{},{},{1},{1},{1},{2,4,5},{3,6,7}}
{{},{},{},{1},{1},{1},{2,4,5},{4,5,6}}
{{},{},{},{1},{1},{1},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1},{2,4,5},{2,3,4,6}}
{{},{},{},{1},{1},{1},{2,4,5},{2,4,5,6}}
{{},{},{},{1},{1},{1},{2,4,5},{3,4,5,6}}
{{},{},{},{1},{1},{1},{2,4,5},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{4,5,6},{7}}
{{},{},{},{1},{1},{1},{4,5,6},{2,7}}
{{},{},{},{1},{1},{1},{4,5,6},{2,3,7}}
{{},{},{},{1},{1},{1},{4,5,6},{4,5,6}}
{{},{},{},{1},{1},{1},{4,5,6},{2,3,4,5}}
{{},{},{},{1},{1},{1},{4,5,6},{2,4,5,6}}
{{},{},{},{1},{1},{1},{4,5,6},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{2,3,4,5},{7}}
{{},{},{},{1},{1},{1},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{1},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1},{2,3,4,5},{2,3,4,6}}
{{},{},{},{1},{1},{1},{2,3,4,5},{2,4,5,6}}
{{},{},{},{1},{1},{1},{2,3,4,5},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{2,4,5,6},{7}}
{{},{},{},{1},{1},{1},{2,4,5,6},{3,7}}
{{},{},{},{1},{1},{1},{2,4,5,6},{2,4,5,6}}
{{},{},{},{1},{1},{1},{2,4,5,6},{3,4,5,6}}
{{},{},{},{1},{1},{1},{2,4,5,6},{2,3,4,5,6}}
{{},{},{},{1},{1},{1},{2,3,4,5,6},{7}}
{{},{},{},{1},{1},{1},{2,3,4,5,6},{2,3,4,5,6}}
{{},{},{},{1},{1},{2},{2},{3}}
{{},{},{},{1},{1},{2},{2},{4}}
{{},{},{},{1},{1},{2},{2},{1,2}}
{{},{},{},{1},{1},{2},{2},{1,3}}
{{},{},{},{1},{1},{2},{2},{1,6}}
{{},{},{},{1},{1},{2},{2},{3,4}}
{{},{},{},{1},{1},{2},{2},{4,5}}
{{},{},{},{1},{1},{2},{2},{4,6}}
{{},{},{},{1},{1},{2},{2},{1,2,3}}
{{},{},{},{1},{1},{2},{2},{1,3,6}}
{{},{},{},{1},{1},{2},{2},{1,6,7}}
{{},{},{},{1},{1},{2},{2},{3,4,5}}
{{},{},{},{1},{1},{2},{2},{3,4,6}}
{{},{},{},{1},{1},{2},{2},{4,5,6}}
{{},{},{},{1},{1},{2},{2},{1,3,6,7}}
{{},{},{},{1},{1},{2},{2},{3,4,5,6}}
{{},{},{},{1},{1},{2},{2},{4,5,6,7}}
{{},{},{},{1},{1},{2},{2},{3,4,5,6,7}}
{{},{},{},{1},{1},{2},{3},{4}}
{{},{},{},{1},{1},{2},{3},{6}}
{{},{},{},{1},{1},{2},{3},{1,2}}
{{},{},{},{1},{1},{2},{3},{1,6}}
{{},{},{},{1},{1},{2},{3},{2,3}}
{{},{},{},{1},{1},{2},{3},{2,4}}
{{},{},{},{1},{1},{2},{3},{2,7}}
{{},{},{},{1},{1},{2},{3},{4,5}}
{{},{},{},{1},{1},{2},{3},{4,6}}
{{},{},{},{1},{1},{2},{3},{6,7}}
{{},{},{},{1},{1},{2},{3},{1,2,3}}
{{},{},{},{1},{1},{2},{3},{1,2,7}}
{{},{},{},{1},{1},{2},{3},{1,6,7}}
{{},{},{},{1},{1},{2},{3},{2,3,4}}
{{},{},{},{1},{1},{2},{3},{2,4,5}}
{{},{},{},{1},{1},{2},{3},{2,4,7}}
{{},{},{},{1},{1},{2},{3},{4,5,6}}
{{},{},{},{1},{1},{2},{3},{4,6,7}}
{{},{},{},{1},{1},{2},{3},{2,3,4,5}}
{{},{},{},{1},{1},{2},{3},{2,4,5,7}}
{{},{},{},{1},{1},{2},{3},{4,5,6,7}}
{{},{},{},{1},{1},{2},{4},{4}}
{{},{},{},{1},{1},{2},{4},{5}}
{{},{},{},{1},{1},{2},{4},{6}}
{{},{},{},{1},{1},{2},{4},{7}}
{{},{},{},{1},{1},{2},{4},{1,2}}
{{},{},{},{1},{1},{2},{4},{1,3}}
{{},{},{},{1},{1},{2},{4},{1,6}}
{{},{},{},{1},{1},{2},{4},{2,3}}
{{},{},{},{1},{1},{2},{4},{2,4}}
{{},{},{},{1},{1},{2},{4},{2,5}}
{{},{},{},{1},{1},{2},{4},{2,7}}
{{},{},{},{1},{1},{2},{4},{3,4}}
{{},{},{},{1},{1},{2},{4},{3,5}}
{{},{},{},{1},{1},{2},{4},{3,6}}
{{},{},{},{1},{1},{2},{4},{3,7}}
{{},{},{},{1},{1},{2},{4},{4,5}}
{{},{},{},{1},{1},{2},{4},{4,6}}
{{},{},{},{1},{1},{2},{4},{5,6}}
{{},{},{},{1},{1},{2},{4},{5,7}}
{{},{},{},{1},{1},{2},{4},{6,7}}
{{},{},{},{1},{1},{2},{4},{1,2,3}}
{{},{},{},{1},{1},{2},{4},{1,3,6}}
{{},{},{},{1},{1},{2},{4},{2,3,4}}
{{},{},{},{1},{1},{2},{4},{2,3,5}}
{{},{},{},{1},{1},{2},{4},{2,3,7}}
{{},{},{},{1},{1},{2},{4},{2,4,5}}
{{},{},{},{1},{1},{2},{4},{2,5,7}}
{{},{},{},{1},{1},{2},{4},{3,4,5}}
{{},{},{},{1},{1},{2},{4},{3,4,6}}
{{},{},{},{1},{1},{2},{4},{3,5,6}}
{{},{},{},{1},{1},{2},{4},{3,5,7}}
{{},{},{},{1},{1},{2},{4},{3,6,7}}
{{},{},{},{1},{1},{2},{4},{4,5,6}}
{{},{},{},{1},{1},{2},{4},{5,6,7}}
{{},{},{},{1},{1},{2},{4},{2,3,4,5}}
{{},{},{},{1},{1},{2},{4},{2,3,5,7}}
{{},{},{},{1},{1},{2},{4},{3,4,5,6}}
{{},{},{},{1},{1},{2},{4},{3,5,6,7}}
{{},{},{},{1},{1},{2},{6},{6}}
{{},{},{},{1},{1},{2},{6},{7}}
{{},{},{},{1},{1},{2},{6},{1,2}}
{{},{},{},{1},{1},{2},{6},{1,3}}
{{},{},{},{1},{1},{2},{6},{1,6}}
{{},{},{},{1},{1},{2},{6},{1,7}}
{{},{},{},{1},{1},{2},{6},{2,3}}
{{},{},{},{1},{1},{2},{6},{2,4}}
{{},{},{},{1},{1},{2},{6},{3,4}}
{{},{},{},{1},{1},{2},{6},{3,6}}
{{},{},{},{1},{1},{2},{6},{3,7}}
{{},{},{},{1},{1},{2},{6},{4,5}}
{{},{},{},{1},{1},{2},{6},{4,6}}
{{},{},{},{1},{1},{2},{6},{4,7}}
{{},{},{},{1},{1},{2},{6},{1,2,3}}
{{},{},{},{1},{1},{2},{6},{1,3,6}}
{{},{},{},{1},{1},{2},{6},{1,3,7}}
{{},{},{},{1},{1},{2},{6},{2,3,4}}
{{},{},{},{1},{1},{2},{6},{2,4,5}}
{{},{},{},{1},{1},{2},{6},{3,4,5}}
{{},{},{},{1},{1},{2},{6},{3,4,6}}
{{},{},{},{1},{1},{2},{6},{3,4,7}}
{{},{},{},{1},{1},{2},{6},{4,5,6}}
{{},{},{},{1},{1},{2},{6},{4,5,7}}
{{},{},{},{1},{1},{2},{6},{2,3,4,5}}
{{},{},{},{1},{1},{2},{6},{3,4,5,6}}
{{},{},{},{1},{1},{2},{6},{3,4,5,7}}
{{},{},{},{1},{1},{2},{1,2},{7}}
{{},{},{},{1},{1},{2},{1,2},{1,2}}
{{},{},{},{1},{1},{2},{1,2},{1,3}}
{{},{},{},{1},{1},{2},{1,2},{1,6}}
{{},{},{},{1},{1},{2},{1,2},{2,3}}
{{},{},{},{1},{1},{2},{1,2},{2,4}}
{{},{},{},{1},{1},{2},{1,2},{3,4}}
{{},{},{},{1},{1},{2},{1,2},{3,6}}
{{},{},{},{1},{1},{2},{1,2},{3,7}}
{{},{},{},{1},{1},{2},{1,2},{4,5}}
{{},{},{},{1},{1},{2},{1,2},{4,6}}
{{},{},{},{1},{1},{2},{1,2},{4,7}}
{{},{},{},{1},{1},{2},{1,2},{6,7}}
{{},{},{},{1},{1},{2},{1,2},{1,2,3}}
{{},{},{},{1},{1},{2},{1,2},{1,3,6}}
{{},{},{},{1},{1},{2},{1,2},{2,3,4}}
{{},{},{},{1},{1},{2},{1,2},{2,4,5}}
{{},{},{},{1},{1},{2},{1,2},{3,4,5}}
{{},{},{},{1},{1},{2},{1,2},{3,4,6}}
{{},{},{},{1},{1},{2},{1,2},{3,4,7}}
{{},{},{},{1},{1},{2},{1,2},{3,6,7}}
{{},{},{},{1},{1},{2},{1,2},{4,5,6}}
{{},{},{},{1},{1},{2},{1,2},{4,5,7}}
{{},{},{},{1},{1},{2},{1,2},{4,6,7}}
{{},{},{},{1},{1},{2},{1,2},{2,3,4,5}}
{{},{},{},{1},{1},{2},{1,2},{3,4,5,6}}
{{},{},{},{1},{1},{2},{1,2},{3,4,5,7}}
{{},{},{},{1},{1},{2},{1,2},{3,4,6,7}}
{{},{},{},{1},{1},{2},{1,2},{4,5,6,7}}
{{},{},{},{1},{1},{2},{1,2},{3,4,5,6,7}}
{{},{},{},{1},{1},{2},{1,3},{7}}
{{},{},{},{1},{1},{2},{1,3},{1,3}}
{{},{},{},{1},{1},{2},{1,3},{1,6}}
{{},{},{},{1},{1},{2},{1,3},{2,3}}
{{},{},{},{1},{1},{2},{1,3},{2,4}}
{{},{},{},{1},{1},{2},{1,3},{2,7}}
{{},{},{},{1},{1},{2},{1,3},{3,4}}
{{},{},{},{1},{1},{2},{1,3},{3,6}}
{{},{},{},{1},{1},{2},{1,3},{4,5}}
{{},{},{},{1},{1},{2},{1,3},{4,6}}
{{},{},{},{1},{1},{2},{1,3},{4,7}}
{{},{},{},{1},{1},{2},{1,3},{6,7}}
{{},{},{},{1},{1},{2},{1,3},{1,2,3}}
{{},{},{},{1},{1},{2},{1,3},{1,3,6}}
{{},{},{},{1},{1},{2},{1,3},{2,3,4}}
{{},{},{},{1},{1},{2},{1,3},{2,4,5}}
{{},{},{},{1},{1},{2},{1,3},{2,4,7}}
{{},{},{},{1},{1},{2},{1,3},{3,4,5}}
{{},{},{},{1},{1},{2},{1,3},{3,4,6}}
{{},{},{},{1},{1},{2},{1,3},{4,5,6}}
{{},{},{},{1},{1},{2},{1,3},{4,5,7}}
{{},{},{},{1},{1},{2},{1,3},{4,6,7}}
{{},{},{},{1},{1},{2},{1,3},{2,3,4,5}}
{{},{},{},{1},{1},{2},{1,3},{2,4,5,7}}
{{},{},{},{1},{1},{2},{1,3},{3,4,5,6}}
{{},{},{},{1},{1},{2},{1,3},{4,5,6,7}}
{{},{},{},{1},{1},{2},{1,6},{7}}
{{},{},{},{1},{1},{2},{1,6},{1,6}}
{{},{},{},{1},{1},{2},{1,6},{2,3}}
{{},{},{},{1},{1},{2},{1,6},{2,4}}
{{},{},{},{1},{1},{2},{1,6},{3,4}}
{{},{},{},{1},{1},{2},{1,6},{3,6}}
{{},{},{},{1},{1},{2},{1,6},{3,7}}
{{},{},{},{1},{1},{2},{1,6},{4,5}}
{{},{},{},{1},{1},{2},{1,6},{4,6}}
{{},{},{},{1},{1},{2},{1,6},{4,7}}
{{},{},{},{1},{1},{2},{1,6},{1,2,3}}
{{},{},{},{1},{1},{2},{1,6},{1,3,6}}
{{},{},{},{1},{1},{2},{1,6},{2,3,4}}
{{},{},{},{1},{1},{2},{1,6},{2,4,5}}
{{},{},{},{1},{1},{2},{1,6},{3,4,5}}
{{},{},{},{1},{1},{2},{1,6},{3,4,6}}
{{},{},{},{1},{1},{2},{1,6},{3,4,7}}
{{},{},{},{1},{1},{2},{1,6},{4,5,6}}
{{},{},{},{1},{1},{2},{1,6},{4,5,7}}
{{},{},{},{1},{1},{2},{1,6},{2,3,4,5}}
{{},{},{},{1},{1},{2},{1,6},{3,4,5,6}}
{{},{},{},{1},{1},{2},{1,6},{3,4,5,7}}
{{},{},{},{1},{1},{2},{2,3},{7}}
{{},{},{},{1},{1},{2},{2,3},{1,7}}
{{},{},{},{1},{1},{2},{2,3},{2,3}}
{{},{},{},{1},{1},{2},{2,3},{2,4}}
{{},{},{},{1},{1},{2},{2,3},{3,4}}
{{},{},{},{1},{1},{2},{2,3},{3,6}}
{{},{},{},{1},{1},{2},{2,3},{4,5}}
{{},{},{},{1},{1},{2},{2,3},{4,6}}
{{},{},{},{1},{1},{2},{2,3},{4,7}}
{{},{},{},{1},{1},{2},{2,3},{6,7}}
{{},{},{},{1},{1},{2},{2,3},{1,2,3}}
{{},{},{},{1},{1},{2},{2,3},{1,3,6}}
{{},{},{},{1},{1},{2},{2,3},{1,6,7}}
{{},{},{},{1},{1},{2},{2,3},{2,3,4}}
{{},{},{},{1},{1},{2},{2,3},{2,4,5}}
{{},{},{},{1},{1},{2},{2,3},{3,4,5}}
{{},{},{},{1},{1},{2},{2,3},{3,4,6}}
{{},{},{},{1},{1},{2},{2,3},{4,5,6}}
{{},{},{},{1},{1},{2},{2,3},{4,5,7}}
{{},{},{},{1},{1},{2},{2,3},{4,6,7}}
{{},{},{},{1},{1},{2},{2,3},{2,3,4,5}}
{{},{},{},{1},{1},{2},{2,3},{3,4,5,6}}
{{},{},{},{1},{1},{2},{2,3},{4,5,6,7}}
{{},{},{},{1},{1},{2},{2,4},{7}}
{{},{},{},{1},{1},{2},{2,4},{2,4}}
{{},{},{},{1},{1},{2},{2,4},{2,5}}
{{},{},{},{1},{1},{2},{2,4},{3,4}}
{{},{},{},{1},{1},{2},{2,4},{3,5}}
{{},{},{},{1},{1},{2},{2,4},{3,6}}
{{},{},{},{1},{1},{2},{2,4},{3,7}}
{{},{},{},{1},{1},{2},{2,4},{4,5}}
{{},{},{},{1},{1},{2},{2,4},{4,6}}
{{},{},{},{1},{1},{2},{2,4},{5,6}}
{{},{},{},{1},{1},{2},{2,4},{5,7}}
{{},{},{},{1},{1},{2},{2,4},{6,7}}
{{},{},{},{1},{1},{2},{2,4},{1,2,3}}
{{},{},{},{1},{1},{2},{2,4},{1,3,6}}
{{},{},{},{1},{1},{2},{2,4},{2,3,4}}
{{},{},{},{1},{1},{2},{2,4},{2,3,5}}
{{},{},{},{1},{1},{2},{2,4},{2,4,5}}
{{},{},{},{1},{1},{2},{2,4},{3,4,5}}
{{},{},{},{1},{1},{2},{2,4},{3,4,6}}
{{},{},{},{1},{1},{2},{2,4},{3,5,6}}
{{},{},{},{1},{1},{2},{2,4},{3,5,7}}
{{},{},{},{1},{1},{2},{2,4},{3,6,7}}
{{},{},{},{1},{1},{2},{2,4},{4,5,6}}
{{},{},{},{1},{1},{2},{2,4},{5,6,7}}
{{},{},{},{1},{1},{2},{2,4},{2,3,4,5}}
{{},{},{},{1},{1},{2},{2,4},{3,4,5,6}}
{{},{},{},{1},{1},{2},{2,4},{3,5,6,7}}
{{},{},{},{1},{1},{2},{3,4},{7}}
{{},{},{},{1},{1},{2},{3,4},{2,7}}
{{},{},{},{1},{1},{2},{3,4},{3,4}}
{{},{},{},{1},{1},{2},{3,4},{3,5}}
{{},{},{},{1},{1},{2},{3,4},{3,6}}
{{},{},{},{1},{1},{2},{3,4},{4,5}}
{{},{},{},{1},{1},{2},{3,4},{4,6}}
{{},{},{},{1},{1},{2},{3,4},{5,6}}
{{},{},{},{1},{1},{2},{3,4},{5,7}}
{{},{},{},{1},{1},{2},{3,4},{6,7}}
{{},{},{},{1},{1},{2},{3,4},{1,2,3}}
{{},{},{},{1},{1},{2},{3,4},{1,3,6}}
{{},{},{},{1},{1},{2},{3,4},{2,3,4}}
{{},{},{},{1},{1},{2},{3,4},{2,3,5}}
{{},{},{},{1},{1},{2},{3,4},{2,4,5}}
{{},{},{},{1},{1},{2},{3,4},{2,5,7}}
{{},{},{},{1},{1},{2},{3,4},{3,4,5}}
{{},{},{},{1},{1},{2},{3,4},{3,4,6}}
{{},{},{},{1},{1},{2},{3,4},{3,5,6}}
{{},{},{},{1},{1},{2},{3,4},{4,5,6}}
{{},{},{},{1},{1},{2},{3,4},{5,6,7}}
{{},{},{},{1},{1},{2},{3,4},{2,3,4,5}}
{{},{},{},{1},{1},{2},{3,4},{3,4,5,6}}
{{},{},{},{1},{1},{2},{3,6},{7}}
{{},{},{},{1},{1},{2},{3,6},{1,7}}
{{},{},{},{1},{1},{2},{3,6},{3,6}}
{{},{},{},{1},{1},{2},{3,6},{4,5}}
{{},{},{},{1},{1},{2},{3,6},{4,6}}
{{},{},{},{1},{1},{2},{3,6},{4,7}}
{{},{},{},{1},{1},{2},{3,6},{1,2,3}}
{{},{},{},{1},{1},{2},{3,6},{1,3,6}}
{{},{},{},{1},{1},{2},{3,6},{2,3,4}}
{{},{},{},{1},{1},{2},{3,6},{2,4,5}}
{{},{},{},{1},{1},{2},{3,6},{3,4,5}}
{{},{},{},{1},{1},{2},{3,6},{3,4,6}}
{{},{},{},{1},{1},{2},{3,6},{4,5,6}}
{{},{},{},{1},{1},{2},{3,6},{4,5,7}}
{{},{},{},{1},{1},{2},{3,6},{2,3,4,5}}
{{},{},{},{1},{1},{2},{3,6},{3,4,5,6}}
{{},{},{},{1},{1},{2},{4,5},{7}}
{{},{},{},{1},{1},{2},{4,5},{2,7}}
{{},{},{},{1},{1},{2},{4,5},{3,7}}
{{},{},{},{1},{1},{2},{4,5},{4,5}}
{{},{},{},{1},{1},{2},{4,5},{4,6}}
{{},{},{},{1},{1},{2},{4,5},{6,7}}
{{},{},{},{1},{1},{2},{4,5},{1,2,3}}
{{},{},{},{1},{1},{2},{4,5},{1,3,6}}
{{},{},{},{1},{1},{2},{4,5},{2,3,4}}
{{},{},{},{1},{1},{2},{4,5},{2,3,7}}
{{},{},{},{1},{1},{2},{4,5},{2,4,5}}
{{},{},{},{1},{1},{2},{4,5},{3,4,5}}
{{},{},{},{1},{1},{2},{4,5},{3,4,6}}
{{},{},{},{1},{1},{2},{4,5},{3,6,7}}
{{},{},{},{1},{1},{2},{4,5},{4,5,6}}
{{},{},{},{1},{1},{2},{4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2},{4,5},{3,4,5,6}}
{{},{},{},{1},{1},{2},{4,6},{7}}
{{},{},{},{1},{1},{2},{4,6},{3,7}}
{{},{},{},{1},{1},{2},{4,6},{4,6}}
{{},{},{},{1},{1},{2},{4,6},{5,6}}
{{},{},{},{1},{1},{2},{4,6},{5,7}}
{{},{},{},{1},{1},{2},{4,6},{1,2,3}}
{{},{},{},{1},{1},{2},{4,6},{1,3,6}}
{{},{},{},{1},{1},{2},{4,6},{2,3,4}}
{{},{},{},{1},{1},{2},{4,6},{2,3,5}}
{{},{},{},{1},{1},{2},{4,6},{2,4,5}}
{{},{},{},{1},{1},{2},{4,6},{3,4,5}}
{{},{},{},{1},{1},{2},{4,6},{3,4,6}}
{{},{},{},{1},{1},{2},{4,6},{3,5,6}}
{{},{},{},{1},{1},{2},{4,6},{3,5,7}}
{{},{},{},{1},{1},{2},{4,6},{4,5,6}}
{{},{},{},{1},{1},{2},{4,6},{2,3,4,5}}
{{},{},{},{1},{1},{2},{4,6},{3,4,5,6}}
{{},{},{},{1},{1},{2},{1,2,3},{7}}
{{},{},{},{1},{1},{2},{1,2,3},{4,7}}
{{},{},{},{1},{1},{2},{1,2,3},{6,7}}
{{},{},{},{1},{1},{2},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{2},{1,2,3},{1,3,6}}
{{},{},{},{1},{1},{2},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{2},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{2},{1,2,3},{3,4,5}}
{{},{},{},{1},{1},{2},{1,2,3},{3,4,6}}
{{},{},{},{1},{1},{2},{1,2,3},{4,5,6}}
{{},{},{},{1},{1},{2},{1,2,3},{4,5,7}}
{{},{},{},{1},{1},{2},{1,2,3},{4,6,7}}
{{},{},{},{1},{1},{2},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{2},{1,2,3},{3,4,5,6}}
{{},{},{},{1},{1},{2},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1},{2},{1,3,6},{7}}
{{},{},{},{1},{1},{2},{1,3,6},{4,7}}
{{},{},{},{1},{1},{2},{1,3,6},{1,3,6}}
{{},{},{},{1},{1},{2},{1,3,6},{2,3,4}}
{{},{},{},{1},{1},{2},{1,3,6},{2,4,5}}
{{},{},{},{1},{1},{2},{1,3,6},{3,4,5}}
{{},{},{},{1},{1},{2},{1,3,6},{3,4,6}}
{{},{},{},{1},{1},{2},{1,3,6},{4,5,6}}
{{},{},{},{1},{1},{2},{1,3,6},{4,5,7}}
{{},{},{},{1},{1},{2},{1,3,6},{2,3,4,5}}
{{},{},{},{1},{1},{2},{1,3,6},{3,4,5,6}}
{{},{},{},{1},{1},{2},{2,3,4},{7}}
{{},{},{},{1},{1},{2},{2,3,4},{5,7}}
{{},{},{},{1},{1},{2},{2,3,4},{6,7}}
{{},{},{},{1},{1},{2},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{2},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{2},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{2},{2,3,4},{3,4,5}}
{{},{},{},{1},{1},{2},{2,3,4},{3,4,6}}
{{},{},{},{1},{1},{2},{2,3,4},{3,5,6}}
{{},{},{},{1},{1},{2},{2,3,4},{4,5,6}}
{{},{},{},{1},{1},{2},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{2},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{2},{2,3,4},{3,4,5,6}}
{{},{},{},{1},{1},{2},{2,4,5},{7}}
{{},{},{},{1},{1},{2},{2,4,5},{3,7}}
{{},{},{},{1},{1},{2},{2,4,5},{6,7}}
{{},{},{},{1},{1},{2},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{2},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{2},{2,4,5},{3,4,6}}
{{},{},{},{1},{1},{2},{2,4,5},{3,6,7}}
{{},{},{},{1},{1},{2},{2,4,5},{4,5,6}}
{{},{},{},{1},{1},{2},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2},{2,4,5},{3,4,5,6}}
{{},{},{},{1},{1},{2},{3,4,5},{7}}
{{},{},{},{1},{1},{2},{3,4,5},{2,7}}
{{},{},{},{1},{1},{2},{3,4,5},{6,7}}
{{},{},{},{1},{1},{2},{3,4,5},{3,4,5}}
{{},{},{},{1},{1},{2},{3,4,5},{3,4,6}}
{{},{},{},{1},{1},{2},{3,4,5},{4,5,6}}
{{},{},{},{1},{1},{2},{3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2},{3,4,5},{3,4,5,6}}
{{},{},{},{1},{1},{2},{3,4,6},{7}}
{{},{},{},{1},{1},{2},{3,4,6},{5,7}}
{{},{},{},{1},{1},{2},{3,4,6},{3,4,6}}
{{},{},{},{1},{1},{2},{3,4,6},{3,5,6}}
{{},{},{},{1},{1},{2},{3,4,6},{4,5,6}}
{{},{},{},{1},{1},{2},{3,4,6},{2,3,4,5}}
{{},{},{},{1},{1},{2},{3,4,6},{3,4,5,6}}
{{},{},{},{1},{1},{2},{4,5,6},{7}}
{{},{},{},{1},{1},{2},{4,5,6},{3,7}}
{{},{},{},{1},{1},{2},{4,5,6},{4,5,6}}
{{},{},{},{1},{1},{2},{4,5,6},{2,3,4,5}}
{{},{},{},{1},{1},{2},{4,5,6},{3,4,5,6}}
{{},{},{},{1},{1},{2},{2,3,4,5},{7}}
{{},{},{},{1},{1},{2},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{2},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2},{2,3,4,5},{3,4,5,6}}
{{},{},{},{1},{1},{2},{3,4,5,6},{7}}
{{},{},{},{1},{1},{2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{1},{1},{4},{4},{4}}
{{},{},{},{1},{1},{4},{4},{5}}
{{},{},{},{1},{1},{4},{4},{6}}
{{},{},{},{1},{1},{4},{4},{1,2}}
{{},{},{},{1},{1},{4},{4},{2,3}}
{{},{},{},{1},{1},{4},{4},{2,4}}
{{},{},{},{1},{1},{4},{4},{2,5}}
{{},{},{},{1},{1},{4},{4},{2,6}}
{{},{},{},{1},{1},{4},{4},{4,5}}
{{},{},{},{1},{1},{4},{4},{5,6}}
{{},{},{},{1},{1},{4},{4},{6,7}}
{{},{},{},{1},{1},{4},{4},{1,2,3}}
{{},{},{},{1},{1},{4},{4},{2,3,4}}
{{},{},{},{1},{1},{4},{4},{2,3,5}}
{{},{},{},{1},{1},{4},{4},{2,3,6}}
{{},{},{},{1},{1},{4},{4},{2,4,5}}
{{},{},{},{1},{1},{4},{4},{2,5,6}}
{{},{},{},{1},{1},{4},{4},{2,6,7}}
{{},{},{},{1},{1},{4},{4},{5,6,7}}
{{},{},{},{1},{1},{4},{4},{2,3,4,5}}
{{},{},{},{1},{1},{4},{4},{2,3,5,6}}
{{},{},{},{1},{1},{4},{4},{2,3,6,7}}
{{},{},{},{1},{1},{4},{4},{2,5,6,7}}
{{},{},{},{1},{1},{4},{4},{2,3,5,6,7}}
{{},{},{},{1},{1},{4},{5},{6}}
{{},{},{},{1},{1},{4},{5},{1,2}}
{{},{},{},{1},{1},{4},{5},{2,3}}
{{},{},{},{1},{1},{4},{5},{2,4}}
{{},{},{},{1},{1},{4},{5},{2,6}}
{{},{},{},{1},{1},{4},{5},{4,5}}
{{},{},{},{1},{1},{4},{5},{4,7}}
{{},{},{},{1},{1},{4},{5},{6,7}}
{{},{},{},{1},{1},{4},{5},{1,2,3}}
{{},{},{},{1},{1},{4},{5},{2,3,4}}
{{},{},{},{1},{1},{4},{5},{2,3,6}}
{{},{},{},{1},{1},{4},{5},{2,4,5}}
{{},{},{},{1},{1},{4},{5},{2,4,7}}
{{},{},{},{1},{1},{4},{5},{2,6,7}}
{{},{},{},{1},{1},{4},{5},{2,3,4,5}}
{{},{},{},{1},{1},{4},{5},{2,3,4,7}}
{{},{},{},{1},{1},{4},{5},{2,3,6,7}}
{{},{},{},{1},{1},{4},{6},{6}}
{{},{},{},{1},{1},{4},{6},{7}}
{{},{},{},{1},{1},{4},{6},{1,2}}
{{},{},{},{1},{1},{4},{6},{2,3}}
{{},{},{},{1},{1},{4},{6},{2,4}}
{{},{},{},{1},{1},{4},{6},{2,5}}
{{},{},{},{1},{1},{4},{6},{2,6}}
{{},{},{},{1},{1},{4},{6},{2,7}}
{{},{},{},{1},{1},{4},{6},{4,5}}
{{},{},{},{1},{1},{4},{6},{5,6}}
{{},{},{},{1},{1},{4},{6},{5,7}}
{{},{},{},{1},{1},{4},{6},{1,2,3}}
{{},{},{},{1},{1},{4},{6},{2,3,4}}
{{},{},{},{1},{1},{4},{6},{2,3,5}}
{{},{},{},{1},{1},{4},{6},{2,3,6}}
{{},{},{},{1},{1},{4},{6},{2,3,7}}
{{},{},{},{1},{1},{4},{6},{2,4,5}}
{{},{},{},{1},{1},{4},{6},{2,5,6}}
{{},{},{},{1},{1},{4},{6},{2,5,7}}
{{},{},{},{1},{1},{4},{6},{2,3,4,5}}
{{},{},{},{1},{1},{4},{6},{2,3,5,6}}
{{},{},{},{1},{1},{4},{6},{2,3,5,7}}
{{},{},{},{1},{1},{4},{1,2},{7}}
{{},{},{},{1},{1},{4},{1,2},{1,2}}
{{},{},{},{1},{1},{4},{1,2},{1,3}}
{{},{},{},{1},{1},{4},{1,2},{2,3}}
{{},{},{},{1},{1},{4},{1,2},{2,4}}
{{},{},{},{1},{1},{4},{1,2},{2,5}}
{{},{},{},{1},{1},{4},{1,2},{2,6}}
{{},{},{},{1},{1},{4},{1,2},{3,4}}
{{},{},{},{1},{1},{4},{1,2},{3,5}}
{{},{},{},{1},{1},{4},{1,2},{3,6}}
{{},{},{},{1},{1},{4},{1,2},{3,7}}
{{},{},{},{1},{1},{4},{1,2},{4,5}}
{{},{},{},{1},{1},{4},{1,2},{4,7}}
{{},{},{},{1},{1},{4},{1,2},{5,6}}
{{},{},{},{1},{1},{4},{1,2},{5,7}}
{{},{},{},{1},{1},{4},{1,2},{6,7}}
{{},{},{},{1},{1},{4},{1,2},{1,2,3}}
{{},{},{},{1},{1},{4},{1,2},{2,3,4}}
{{},{},{},{1},{1},{4},{1,2},{2,3,5}}
{{},{},{},{1},{1},{4},{1,2},{2,3,6}}
{{},{},{},{1},{1},{4},{1,2},{2,4,5}}
{{},{},{},{1},{1},{4},{1,2},{2,5,6}}
{{},{},{},{1},{1},{4},{1,2},{3,4,5}}
{{},{},{},{1},{1},{4},{1,2},{3,4,7}}
{{},{},{},{1},{1},{4},{1,2},{3,5,6}}
{{},{},{},{1},{1},{4},{1,2},{3,5,7}}
{{},{},{},{1},{1},{4},{1,2},{3,6,7}}
{{},{},{},{1},{1},{4},{1,2},{4,5,7}}
{{},{},{},{1},{1},{4},{1,2},{5,6,7}}
{{},{},{},{1},{1},{4},{1,2},{2,3,4,5}}
{{},{},{},{1},{1},{4},{1,2},{2,3,5,6}}
{{},{},{},{1},{1},{4},{1,2},{3,4,5,7}}
{{},{},{},{1},{1},{4},{1,2},{3,5,6,7}}
{{},{},{},{1},{1},{4},{2,3},{7}}
{{},{},{},{1},{1},{4},{2,3},{1,7}}
{{},{},{},{1},{1},{4},{2,3},{2,3}}
{{},{},{},{1},{1},{4},{2,3},{2,4}}
{{},{},{},{1},{1},{4},{2,3},{2,5}}
{{},{},{},{1},{1},{4},{2,3},{2,6}}
{{},{},{},{1},{1},{4},{2,3},{4,5}}
{{},{},{},{1},{1},{4},{2,3},{4,7}}
{{},{},{},{1},{1},{4},{2,3},{5,6}}
{{},{},{},{1},{1},{4},{2,3},{5,7}}
{{},{},{},{1},{1},{4},{2,3},{6,7}}
{{},{},{},{1},{1},{4},{2,3},{1,2,3}}
{{},{},{},{1},{1},{4},{2,3},{2,3,4}}
{{},{},{},{1},{1},{4},{2,3},{2,3,5}}
{{},{},{},{1},{1},{4},{2,3},{2,3,6}}
{{},{},{},{1},{1},{4},{2,3},{2,4,5}}
{{},{},{},{1},{1},{4},{2,3},{2,5,6}}
{{},{},{},{1},{1},{4},{2,3},{4,5,7}}
{{},{},{},{1},{1},{4},{2,3},{5,6,7}}
{{},{},{},{1},{1},{4},{2,3},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,3},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,4},{7}}
{{},{},{},{1},{1},{4},{2,4},{2,4}}
{{},{},{},{1},{1},{4},{2,4},{2,5}}
{{},{},{},{1},{1},{4},{2,4},{2,6}}
{{},{},{},{1},{1},{4},{2,4},{3,4}}
{{},{},{},{1},{1},{4},{2,4},{3,5}}
{{},{},{},{1},{1},{4},{2,4},{3,6}}
{{},{},{},{1},{1},{4},{2,4},{3,7}}
{{},{},{},{1},{1},{4},{2,4},{4,5}}
{{},{},{},{1},{1},{4},{2,4},{5,6}}
{{},{},{},{1},{1},{4},{2,4},{5,7}}
{{},{},{},{1},{1},{4},{2,4},{6,7}}
{{},{},{},{1},{1},{4},{2,4},{1,2,3}}
{{},{},{},{1},{1},{4},{2,4},{2,3,4}}
{{},{},{},{1},{1},{4},{2,4},{2,3,5}}
{{},{},{},{1},{1},{4},{2,4},{2,3,6}}
{{},{},{},{1},{1},{4},{2,4},{2,4,5}}
{{},{},{},{1},{1},{4},{2,4},{2,5,6}}
{{},{},{},{1},{1},{4},{2,4},{3,4,5}}
{{},{},{},{1},{1},{4},{2,4},{3,5,6}}
{{},{},{},{1},{1},{4},{2,4},{3,5,7}}
{{},{},{},{1},{1},{4},{2,4},{3,6,7}}
{{},{},{},{1},{1},{4},{2,4},{5,6,7}}
{{},{},{},{1},{1},{4},{2,4},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,4},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,4},{3,5,6,7}}
{{},{},{},{1},{1},{4},{2,5},{7}}
{{},{},{},{1},{1},{4},{2,5},{2,5}}
{{},{},{},{1},{1},{4},{2,5},{2,6}}
{{},{},{},{1},{1},{4},{2,5},{3,5}}
{{},{},{},{1},{1},{4},{2,5},{3,6}}
{{},{},{},{1},{1},{4},{2,5},{3,7}}
{{},{},{},{1},{1},{4},{2,5},{4,5}}
{{},{},{},{1},{1},{4},{2,5},{4,7}}
{{},{},{},{1},{1},{4},{2,5},{5,6}}
{{},{},{},{1},{1},{4},{2,5},{6,7}}
{{},{},{},{1},{1},{4},{2,5},{1,2,3}}
{{},{},{},{1},{1},{4},{2,5},{2,3,4}}
{{},{},{},{1},{1},{4},{2,5},{2,3,5}}
{{},{},{},{1},{1},{4},{2,5},{2,3,6}}
{{},{},{},{1},{1},{4},{2,5},{2,4,5}}
{{},{},{},{1},{1},{4},{2,5},{2,5,6}}
{{},{},{},{1},{1},{4},{2,5},{3,4,5}}
{{},{},{},{1},{1},{4},{2,5},{3,4,7}}
{{},{},{},{1},{1},{4},{2,5},{3,5,6}}
{{},{},{},{1},{1},{4},{2,5},{3,6,7}}
{{},{},{},{1},{1},{4},{2,5},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,5},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,6},{7}}
{{},{},{},{1},{1},{4},{2,6},{2,6}}
{{},{},{},{1},{1},{4},{2,6},{3,6}}
{{},{},{},{1},{1},{4},{2,6},{3,7}}
{{},{},{},{1},{1},{4},{2,6},{4,5}}
{{},{},{},{1},{1},{4},{2,6},{5,6}}
{{},{},{},{1},{1},{4},{2,6},{5,7}}
{{},{},{},{1},{1},{4},{2,6},{1,2,3}}
{{},{},{},{1},{1},{4},{2,6},{2,3,4}}
{{},{},{},{1},{1},{4},{2,6},{2,3,5}}
{{},{},{},{1},{1},{4},{2,6},{2,3,6}}
{{},{},{},{1},{1},{4},{2,6},{2,4,5}}
{{},{},{},{1},{1},{4},{2,6},{2,5,6}}
{{},{},{},{1},{1},{4},{2,6},{3,4,5}}
{{},{},{},{1},{1},{4},{2,6},{3,5,6}}
{{},{},{},{1},{1},{4},{2,6},{3,5,7}}
{{},{},{},{1},{1},{4},{2,6},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,6},{2,3,5,6}}
{{},{},{},{1},{1},{4},{4,5},{7}}
{{},{},{},{1},{1},{4},{4,5},{2,7}}
{{},{},{},{1},{1},{4},{4,5},{4,5}}
{{},{},{},{1},{1},{4},{4,5},{5,6}}
{{},{},{},{1},{1},{4},{4,5},{6,7}}
{{},{},{},{1},{1},{4},{4,5},{1,2,3}}
{{},{},{},{1},{1},{4},{4,5},{2,3,4}}
{{},{},{},{1},{1},{4},{4,5},{2,3,5}}
{{},{},{},{1},{1},{4},{4,5},{2,3,6}}
{{},{},{},{1},{1},{4},{4,5},{2,3,7}}
{{},{},{},{1},{1},{4},{4,5},{2,4,5}}
{{},{},{},{1},{1},{4},{4,5},{2,5,6}}
{{},{},{},{1},{1},{4},{4,5},{2,6,7}}
{{},{},{},{1},{1},{4},{4,5},{2,3,4,5}}
{{},{},{},{1},{1},{4},{4,5},{2,3,5,6}}
{{},{},{},{1},{1},{4},{4,5},{2,3,6,7}}
{{},{},{},{1},{1},{4},{5,6},{7}}
{{},{},{},{1},{1},{4},{5,6},{2,7}}
{{},{},{},{1},{1},{4},{5,6},{5,6}}
{{},{},{},{1},{1},{4},{5,6},{1,2,3}}
{{},{},{},{1},{1},{4},{5,6},{2,3,4}}
{{},{},{},{1},{1},{4},{5,6},{2,3,5}}
{{},{},{},{1},{1},{4},{5,6},{2,3,6}}
{{},{},{},{1},{1},{4},{5,6},{2,3,7}}
{{},{},{},{1},{1},{4},{5,6},{2,4,5}}
{{},{},{},{1},{1},{4},{5,6},{2,5,6}}
{{},{},{},{1},{1},{4},{5,6},{2,3,4,5}}
{{},{},{},{1},{1},{4},{5,6},{2,3,5,6}}
{{},{},{},{1},{1},{4},{1,2,3},{7}}
{{},{},{},{1},{1},{4},{1,2,3},{4,7}}
{{},{},{},{1},{1},{4},{1,2,3},{5,7}}
{{},{},{},{1},{1},{4},{1,2,3},{6,7}}
{{},{},{},{1},{1},{4},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{4},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{4},{1,2,3},{2,3,5}}
{{},{},{},{1},{1},{4},{1,2,3},{2,3,6}}
{{},{},{},{1},{1},{4},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{4},{1,2,3},{2,5,6}}
{{},{},{},{1},{1},{4},{1,2,3},{4,5,7}}
{{},{},{},{1},{1},{4},{1,2,3},{5,6,7}}
{{},{},{},{1},{1},{4},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{4},{1,2,3},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,3,4},{7}}
{{},{},{},{1},{1},{4},{2,3,4},{5,7}}
{{},{},{},{1},{1},{4},{2,3,4},{6,7}}
{{},{},{},{1},{1},{4},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{4},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{4},{2,3,4},{2,3,6}}
{{},{},{},{1},{1},{4},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{4},{2,3,4},{2,5,6}}
{{},{},{},{1},{1},{4},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{4},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,3,4},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,3,5},{7}}
{{},{},{},{1},{1},{4},{2,3,5},{4,7}}
{{},{},{},{1},{1},{4},{2,3,5},{6,7}}
{{},{},{},{1},{1},{4},{2,3,5},{2,3,5}}
{{},{},{},{1},{1},{4},{2,3,5},{2,3,6}}
{{},{},{},{1},{1},{4},{2,3,5},{2,4,5}}
{{},{},{},{1},{1},{4},{2,3,5},{2,5,6}}
{{},{},{},{1},{1},{4},{2,3,5},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,3,5},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,3,6},{7}}
{{},{},{},{1},{1},{4},{2,3,6},{5,7}}
{{},{},{},{1},{1},{4},{2,3,6},{2,3,6}}
{{},{},{},{1},{1},{4},{2,3,6},{2,4,5}}
{{},{},{},{1},{1},{4},{2,3,6},{2,5,6}}
{{},{},{},{1},{1},{4},{2,3,6},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,3,6},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,4,5},{7}}
{{},{},{},{1},{1},{4},{2,4,5},{3,7}}
{{},{},{},{1},{1},{4},{2,4,5},{6,7}}
{{},{},{},{1},{1},{4},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{4},{2,4,5},{2,5,6}}
{{},{},{},{1},{1},{4},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{4},{2,4,5},{3,5,6}}
{{},{},{},{1},{1},{4},{2,4,5},{3,6,7}}
{{},{},{},{1},{1},{4},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,4,5},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,5,6},{7}}
{{},{},{},{1},{1},{4},{2,5,6},{3,7}}
{{},{},{},{1},{1},{4},{2,5,6},{2,5,6}}
{{},{},{},{1},{1},{4},{2,5,6},{3,5,6}}
{{},{},{},{1},{1},{4},{2,5,6},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,5,6},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,3,4,5},{7}}
{{},{},{},{1},{1},{4},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{4},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{4},{2,3,4,5},{2,3,5,6}}
{{},{},{},{1},{1},{4},{2,3,5,6},{7}}
{{},{},{},{1},{1},{4},{2,3,5,6},{2,3,5,6}}
{{},{},{},{1},{1},{1,2},{6},{6}}
{{},{},{},{1},{1},{1,2},{6},{7}}
{{},{},{},{1},{1},{1,2},{6},{1,2}}
{{},{},{},{1},{1},{1,2},{6},{1,3}}
{{},{},{},{1},{1},{1,2},{6},{2,3}}
{{},{},{},{1},{1},{1,2},{6},{2,4}}
{{},{},{},{1},{1},{1,2},{6},{3,4}}
{{},{},{},{1},{1},{1,2},{6},{3,6}}
{{},{},{},{1},{1},{1,2},{6},{3,7}}
{{},{},{},{1},{1},{1,2},{6},{4,5}}
{{},{},{},{1},{1},{1,2},{6},{4,6}}
{{},{},{},{1},{1},{1,2},{6},{4,7}}
{{},{},{},{1},{1},{1,2},{6},{1,2,3}}
{{},{},{},{1},{1},{1,2},{6},{2,3,4}}
{{},{},{},{1},{1},{1,2},{6},{2,4,5}}
{{},{},{},{1},{1},{1,2},{6},{3,4,5}}
{{},{},{},{1},{1},{1,2},{6},{3,4,6}}
{{},{},{},{1},{1},{1,2},{6},{3,4,7}}
{{},{},{},{1},{1},{1,2},{6},{4,5,6}}
{{},{},{},{1},{1},{1,2},{6},{4,5,7}}
{{},{},{},{1},{1},{1,2},{6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{6},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{6},{3,4,5,7}}
{{},{},{},{1},{1},{1,2},{1,2},{1,2}}
{{},{},{},{1},{1},{1,2},{1,2},{1,3}}
{{},{},{},{1},{1},{1,2},{1,2},{2,3}}
{{},{},{},{1},{1},{1,2},{1,2},{2,4}}
{{},{},{},{1},{1},{1,2},{1,2},{3,4}}
{{},{},{},{1},{1},{1,2},{1,2},{3,6}}
{{},{},{},{1},{1},{1,2},{1,2},{4,5}}
{{},{},{},{1},{1},{1,2},{1,2},{4,6}}
{{},{},{},{1},{1},{1,2},{1,2},{6,7}}
{{},{},{},{1},{1},{1,2},{1,2},{1,2,3}}
{{},{},{},{1},{1},{1,2},{1,2},{2,3,4}}
{{},{},{},{1},{1},{1,2},{1,2},{2,4,5}}
{{},{},{},{1},{1},{1,2},{1,2},{3,4,5}}
{{},{},{},{1},{1},{1,2},{1,2},{3,4,6}}
{{},{},{},{1},{1},{1,2},{1,2},{3,6,7}}
{{},{},{},{1},{1},{1,2},{1,2},{4,5,6}}
{{},{},{},{1},{1},{1,2},{1,2},{4,6,7}}
{{},{},{},{1},{1},{1,2},{1,2},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{1,2},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{1,2},{3,4,6,7}}
{{},{},{},{1},{1},{1,2},{1,2},{4,5,6,7}}
{{},{},{},{1},{1},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{},{1},{1},{1,2},{1,3},{2,3}}
{{},{},{},{1},{1},{1,2},{1,3},{2,4}}
{{},{},{},{1},{1},{1,2},{1,3},{2,7}}
{{},{},{},{1},{1},{1,2},{1,3},{4,5}}
{{},{},{},{1},{1},{1,2},{1,3},{4,6}}
{{},{},{},{1},{1},{1,2},{1,3},{6,7}}
{{},{},{},{1},{1},{1,2},{1,3},{1,2,3}}
{{},{},{},{1},{1},{1,2},{1,3},{2,3,4}}
{{},{},{},{1},{1},{1,2},{1,3},{2,4,5}}
{{},{},{},{1},{1},{1,2},{1,3},{2,4,7}}
{{},{},{},{1},{1},{1,2},{1,3},{4,5,6}}
{{},{},{},{1},{1},{1,2},{1,3},{4,6,7}}
{{},{},{},{1},{1},{1,2},{1,3},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{1,3},{2,4,5,7}}
{{},{},{},{1},{1},{1,2},{1,3},{4,5,6,7}}
{{},{},{},{1},{1},{1,2},{2,3},{7}}
{{},{},{},{1},{1},{1,2},{2,3},{1,7}}
{{},{},{},{1},{1},{1,2},{2,3},{2,3}}
{{},{},{},{1},{1},{1,2},{2,3},{2,4}}
{{},{},{},{1},{1},{1,2},{2,3},{3,4}}
{{},{},{},{1},{1},{1,2},{2,3},{3,6}}
{{},{},{},{1},{1},{1,2},{2,3},{4,5}}
{{},{},{},{1},{1},{1,2},{2,3},{4,6}}
{{},{},{},{1},{1},{1,2},{2,3},{4,7}}
{{},{},{},{1},{1},{1,2},{2,3},{6,7}}
{{},{},{},{1},{1},{1,2},{2,3},{1,2,3}}
{{},{},{},{1},{1},{1,2},{2,3},{2,3,4}}
{{},{},{},{1},{1},{1,2},{2,3},{2,4,5}}
{{},{},{},{1},{1},{1,2},{2,3},{3,4,5}}
{{},{},{},{1},{1},{1,2},{2,3},{3,4,6}}
{{},{},{},{1},{1},{1,2},{2,3},{4,5,6}}
{{},{},{},{1},{1},{1,2},{2,3},{4,5,7}}
{{},{},{},{1},{1},{1,2},{2,3},{4,6,7}}
{{},{},{},{1},{1},{1,2},{2,3},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{2,3},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{2,3},{4,5,6,7}}
{{},{},{},{1},{1},{1,2},{2,4},{7}}
{{},{},{},{1},{1},{1,2},{2,4},{2,4}}
{{},{},{},{1},{1},{1,2},{2,4},{2,5}}
{{},{},{},{1},{1},{1,2},{2,4},{3,4}}
{{},{},{},{1},{1},{1,2},{2,4},{3,5}}
{{},{},{},{1},{1},{1,2},{2,4},{3,6}}
{{},{},{},{1},{1},{1,2},{2,4},{3,7}}
{{},{},{},{1},{1},{1,2},{2,4},{4,5}}
{{},{},{},{1},{1},{1,2},{2,4},{4,6}}
{{},{},{},{1},{1},{1,2},{2,4},{5,6}}
{{},{},{},{1},{1},{1,2},{2,4},{5,7}}
{{},{},{},{1},{1},{1,2},{2,4},{6,7}}
{{},{},{},{1},{1},{1,2},{2,4},{1,2,3}}
{{},{},{},{1},{1},{1,2},{2,4},{2,3,4}}
{{},{},{},{1},{1},{1,2},{2,4},{2,3,5}}
{{},{},{},{1},{1},{1,2},{2,4},{2,4,5}}
{{},{},{},{1},{1},{1,2},{2,4},{3,4,5}}
{{},{},{},{1},{1},{1,2},{2,4},{3,4,6}}
{{},{},{},{1},{1},{1,2},{2,4},{3,5,6}}
{{},{},{},{1},{1},{1,2},{2,4},{3,5,7}}
{{},{},{},{1},{1},{1,2},{2,4},{3,6,7}}
{{},{},{},{1},{1},{1,2},{2,4},{4,5,6}}
{{},{},{},{1},{1},{1,2},{2,4},{5,6,7}}
{{},{},{},{1},{1},{1,2},{2,4},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{2,4},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{2,4},{3,5,6,7}}
{{},{},{},{1},{1},{1,2},{3,4},{7}}
{{},{},{},{1},{1},{1,2},{3,4},{2,7}}
{{},{},{},{1},{1},{1,2},{3,4},{3,4}}
{{},{},{},{1},{1},{1,2},{3,4},{3,5}}
{{},{},{},{1},{1},{1,2},{3,4},{3,6}}
{{},{},{},{1},{1},{1,2},{3,4},{4,5}}
{{},{},{},{1},{1},{1,2},{3,4},{4,6}}
{{},{},{},{1},{1},{1,2},{3,4},{5,6}}
{{},{},{},{1},{1},{1,2},{3,4},{5,7}}
{{},{},{},{1},{1},{1,2},{3,4},{6,7}}
{{},{},{},{1},{1},{1,2},{3,4},{1,2,3}}
{{},{},{},{1},{1},{1,2},{3,4},{2,3,4}}
{{},{},{},{1},{1},{1,2},{3,4},{2,3,5}}
{{},{},{},{1},{1},{1,2},{3,4},{2,4,5}}
{{},{},{},{1},{1},{1,2},{3,4},{2,5,7}}
{{},{},{},{1},{1},{1,2},{3,4},{3,4,5}}
{{},{},{},{1},{1},{1,2},{3,4},{3,4,6}}
{{},{},{},{1},{1},{1,2},{3,4},{3,5,6}}
{{},{},{},{1},{1},{1,2},{3,4},{4,5,6}}
{{},{},{},{1},{1},{1,2},{3,4},{5,6,7}}
{{},{},{},{1},{1},{1,2},{3,4},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{3,4},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{3,6},{7}}
{{},{},{},{1},{1},{1,2},{3,6},{3,6}}
{{},{},{},{1},{1},{1,2},{3,6},{4,5}}
{{},{},{},{1},{1},{1,2},{3,6},{4,6}}
{{},{},{},{1},{1},{1,2},{3,6},{4,7}}
{{},{},{},{1},{1},{1,2},{3,6},{1,2,3}}
{{},{},{},{1},{1},{1,2},{3,6},{2,3,4}}
{{},{},{},{1},{1},{1,2},{3,6},{2,4,5}}
{{},{},{},{1},{1},{1,2},{3,6},{3,4,5}}
{{},{},{},{1},{1},{1,2},{3,6},{3,4,6}}
{{},{},{},{1},{1},{1,2},{3,6},{4,5,6}}
{{},{},{},{1},{1},{1,2},{3,6},{4,5,7}}
{{},{},{},{1},{1},{1,2},{3,6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{3,6},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{4,5},{7}}
{{},{},{},{1},{1},{1,2},{4,5},{2,7}}
{{},{},{},{1},{1},{1,2},{4,5},{3,7}}
{{},{},{},{1},{1},{1,2},{4,5},{4,5}}
{{},{},{},{1},{1},{1,2},{4,5},{4,6}}
{{},{},{},{1},{1},{1,2},{4,5},{6,7}}
{{},{},{},{1},{1},{1,2},{4,5},{1,2,3}}
{{},{},{},{1},{1},{1,2},{4,5},{2,3,4}}
{{},{},{},{1},{1},{1,2},{4,5},{2,3,7}}
{{},{},{},{1},{1},{1,2},{4,5},{2,4,5}}
{{},{},{},{1},{1},{1,2},{4,5},{3,4,5}}
{{},{},{},{1},{1},{1,2},{4,5},{3,4,6}}
{{},{},{},{1},{1},{1,2},{4,5},{3,6,7}}
{{},{},{},{1},{1},{1,2},{4,5},{4,5,6}}
{{},{},{},{1},{1},{1,2},{4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{4,5},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{4,6},{7}}
{{},{},{},{1},{1},{1,2},{4,6},{3,7}}
{{},{},{},{1},{1},{1,2},{4,6},{4,6}}
{{},{},{},{1},{1},{1,2},{4,6},{5,6}}
{{},{},{},{1},{1},{1,2},{4,6},{5,7}}
{{},{},{},{1},{1},{1,2},{4,6},{1,2,3}}
{{},{},{},{1},{1},{1,2},{4,6},{2,3,4}}
{{},{},{},{1},{1},{1,2},{4,6},{2,3,5}}
{{},{},{},{1},{1},{1,2},{4,6},{2,4,5}}
{{},{},{},{1},{1},{1,2},{4,6},{3,4,5}}
{{},{},{},{1},{1},{1,2},{4,6},{3,4,6}}
{{},{},{},{1},{1},{1,2},{4,6},{3,5,6}}
{{},{},{},{1},{1},{1,2},{4,6},{3,5,7}}
{{},{},{},{1},{1},{1,2},{4,6},{4,5,6}}
{{},{},{},{1},{1},{1,2},{4,6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{4,6},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{1,2,3},{7}}
{{},{},{},{1},{1},{1,2},{1,2,3},{4,7}}
{{},{},{},{1},{1},{1,2},{1,2,3},{6,7}}
{{},{},{},{1},{1},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{1,2},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{1,2},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{1,2},{1,2,3},{3,4,5}}
{{},{},{},{1},{1},{1,2},{1,2,3},{3,4,6}}
{{},{},{},{1},{1},{1,2},{1,2,3},{4,5,6}}
{{},{},{},{1},{1},{1,2},{1,2,3},{4,5,7}}
{{},{},{},{1},{1},{1,2},{1,2,3},{4,6,7}}
{{},{},{},{1},{1},{1,2},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{1,2,3},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1},{1,2},{2,3,4},{7}}
{{},{},{},{1},{1},{1,2},{2,3,4},{5,7}}
{{},{},{},{1},{1},{1,2},{2,3,4},{6,7}}
{{},{},{},{1},{1},{1,2},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{1,2},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{1,2},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{1,2},{2,3,4},{3,4,5}}
{{},{},{},{1},{1},{1,2},{2,3,4},{3,4,6}}
{{},{},{},{1},{1},{1,2},{2,3,4},{3,5,6}}
{{},{},{},{1},{1},{1,2},{2,3,4},{4,5,6}}
{{},{},{},{1},{1},{1,2},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{1,2},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{2,3,4},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{2,4,5},{7}}
{{},{},{},{1},{1},{1,2},{2,4,5},{3,7}}
{{},{},{},{1},{1},{1,2},{2,4,5},{6,7}}
{{},{},{},{1},{1},{1,2},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{1,2},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{1,2},{2,4,5},{3,4,6}}
{{},{},{},{1},{1},{1,2},{2,4,5},{3,6,7}}
{{},{},{},{1},{1},{1,2},{2,4,5},{4,5,6}}
{{},{},{},{1},{1},{1,2},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{2,4,5},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{3,4,5},{7}}
{{},{},{},{1},{1},{1,2},{3,4,5},{2,7}}
{{},{},{},{1},{1},{1,2},{3,4,5},{6,7}}
{{},{},{},{1},{1},{1,2},{3,4,5},{3,4,5}}
{{},{},{},{1},{1},{1,2},{3,4,5},{3,4,6}}
{{},{},{},{1},{1},{1,2},{3,4,5},{4,5,6}}
{{},{},{},{1},{1},{1,2},{3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{3,4,6},{7}}
{{},{},{},{1},{1},{1,2},{3,4,6},{5,7}}
{{},{},{},{1},{1},{1,2},{3,4,6},{3,4,6}}
{{},{},{},{1},{1},{1,2},{3,4,6},{3,5,6}}
{{},{},{},{1},{1},{1,2},{3,4,6},{4,5,6}}
{{},{},{},{1},{1},{1,2},{3,4,6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{3,4,6},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{4,5,6},{7}}
{{},{},{},{1},{1},{1,2},{4,5,6},{3,7}}
{{},{},{},{1},{1},{1,2},{4,5,6},{4,5,6}}
{{},{},{},{1},{1},{1,2},{4,5,6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{4,5,6},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{2,3,4,5},{7}}
{{},{},{},{1},{1},{1,2},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{1,2},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1,2},{2,3,4,5},{3,4,5,6}}
{{},{},{},{1},{1},{1,2},{3,4,5,6},{7}}
{{},{},{},{1},{1},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{1},{1},{2,3},{6},{6}}
{{},{},{},{1},{1},{2,3},{6},{7}}
{{},{},{},{1},{1},{2,3},{6},{1,6}}
{{},{},{},{1},{1},{2,3},{6},{1,7}}
{{},{},{},{1},{1},{2,3},{6},{2,3}}
{{},{},{},{1},{1},{2,3},{6},{2,4}}
{{},{},{},{1},{1},{2,3},{6},{4,5}}
{{},{},{},{1},{1},{2,3},{6},{4,6}}
{{},{},{},{1},{1},{2,3},{6},{4,7}}
{{},{},{},{1},{1},{2,3},{6},{1,2,3}}
{{},{},{},{1},{1},{2,3},{6},{2,3,4}}
{{},{},{},{1},{1},{2,3},{6},{2,4,5}}
{{},{},{},{1},{1},{2,3},{6},{4,5,6}}
{{},{},{},{1},{1},{2,3},{6},{4,5,7}}
{{},{},{},{1},{1},{2,3},{6},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{1,6},{7}}
{{},{},{},{1},{1},{2,3},{1,6},{1,6}}
{{},{},{},{1},{1},{2,3},{1,6},{2,3}}
{{},{},{},{1},{1},{2,3},{1,6},{2,4}}
{{},{},{},{1},{1},{2,3},{1,6},{4,5}}
{{},{},{},{1},{1},{2,3},{1,6},{4,6}}
{{},{},{},{1},{1},{2,3},{1,6},{4,7}}
{{},{},{},{1},{1},{2,3},{1,6},{1,2,3}}
{{},{},{},{1},{1},{2,3},{1,6},{2,3,4}}
{{},{},{},{1},{1},{2,3},{1,6},{2,4,5}}
{{},{},{},{1},{1},{2,3},{1,6},{4,5,6}}
{{},{},{},{1},{1},{2,3},{1,6},{4,5,7}}
{{},{},{},{1},{1},{2,3},{1,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{2,3},{2,3}}
{{},{},{},{1},{1},{2,3},{2,3},{2,4}}
{{},{},{},{1},{1},{2,3},{2,3},{4,5}}
{{},{},{},{1},{1},{2,3},{2,3},{4,6}}
{{},{},{},{1},{1},{2,3},{2,3},{6,7}}
{{},{},{},{1},{1},{2,3},{2,3},{1,2,3}}
{{},{},{},{1},{1},{2,3},{2,3},{1,6,7}}
{{},{},{},{1},{1},{2,3},{2,3},{2,3,4}}
{{},{},{},{1},{1},{2,3},{2,3},{2,4,5}}
{{},{},{},{1},{1},{2,3},{2,3},{4,5,6}}
{{},{},{},{1},{1},{2,3},{2,3},{4,6,7}}
{{},{},{},{1},{1},{2,3},{2,3},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{2,3},{4,5,6,7}}
{{},{},{},{1},{1},{2,3},{2,4},{7}}
{{},{},{},{1},{1},{2,3},{2,4},{2,4}}
{{},{},{},{1},{1},{2,3},{2,4},{2,5}}
{{},{},{},{1},{1},{2,3},{2,4},{3,4}}
{{},{},{},{1},{1},{2,3},{2,4},{3,5}}
{{},{},{},{1},{1},{2,3},{2,4},{3,7}}
{{},{},{},{1},{1},{2,3},{2,4},{4,5}}
{{},{},{},{1},{1},{2,3},{2,4},{4,6}}
{{},{},{},{1},{1},{2,3},{2,4},{5,6}}
{{},{},{},{1},{1},{2,3},{2,4},{5,7}}
{{},{},{},{1},{1},{2,3},{2,4},{6,7}}
{{},{},{},{1},{1},{2,3},{2,4},{1,2,3}}
{{},{},{},{1},{1},{2,3},{2,4},{2,3,4}}
{{},{},{},{1},{1},{2,3},{2,4},{2,3,5}}
{{},{},{},{1},{1},{2,3},{2,4},{2,4,5}}
{{},{},{},{1},{1},{2,3},{2,4},{3,4,5}}
{{},{},{},{1},{1},{2,3},{2,4},{3,5,7}}
{{},{},{},{1},{1},{2,3},{2,4},{4,5,6}}
{{},{},{},{1},{1},{2,3},{2,4},{5,6,7}}
{{},{},{},{1},{1},{2,3},{2,4},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{4,5},{7}}
{{},{},{},{1},{1},{2,3},{4,5},{2,7}}
{{},{},{},{1},{1},{2,3},{4,5},{4,5}}
{{},{},{},{1},{1},{2,3},{4,5},{4,6}}
{{},{},{},{1},{1},{2,3},{4,5},{6,7}}
{{},{},{},{1},{1},{2,3},{4,5},{1,2,3}}
{{},{},{},{1},{1},{2,3},{4,5},{2,3,4}}
{{},{},{},{1},{1},{2,3},{4,5},{2,3,7}}
{{},{},{},{1},{1},{2,3},{4,5},{2,4,5}}
{{},{},{},{1},{1},{2,3},{4,5},{4,5,6}}
{{},{},{},{1},{1},{2,3},{4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{4,6},{7}}
{{},{},{},{1},{1},{2,3},{4,6},{4,6}}
{{},{},{},{1},{1},{2,3},{4,6},{5,6}}
{{},{},{},{1},{1},{2,3},{4,6},{5,7}}
{{},{},{},{1},{1},{2,3},{4,6},{1,2,3}}
{{},{},{},{1},{1},{2,3},{4,6},{2,3,4}}
{{},{},{},{1},{1},{2,3},{4,6},{2,3,5}}
{{},{},{},{1},{1},{2,3},{4,6},{2,4,5}}
{{},{},{},{1},{1},{2,3},{4,6},{4,5,6}}
{{},{},{},{1},{1},{2,3},{4,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{1,2,3},{7}}
{{},{},{},{1},{1},{2,3},{1,2,3},{4,7}}
{{},{},{},{1},{1},{2,3},{1,2,3},{6,7}}
{{},{},{},{1},{1},{2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{2,3},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{1},{2,3},{1,2,3},{4,5,7}}
{{},{},{},{1},{1},{2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{1},{2,3},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1},{2,3},{2,3,4},{7}}
{{},{},{},{1},{1},{2,3},{2,3,4},{5,7}}
{{},{},{},{1},{1},{2,3},{2,3,4},{6,7}}
{{},{},{},{1},{1},{2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{2,3},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{2,3},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{2,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{1},{2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{2,3},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{2,4,5},{7}}
{{},{},{},{1},{1},{2,3},{2,4,5},{3,7}}
{{},{},{},{1},{1},{2,3},{2,4,5},{6,7}}
{{},{},{},{1},{1},{2,3},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{2,3},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{2,3},{2,4,5},{4,5,6}}
{{},{},{},{1},{1},{2,3},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{4,5,6},{7}}
{{},{},{},{1},{1},{2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{1},{2,3},{4,5,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,3},{2,3,4,5},{7}}
{{},{},{},{1},{1},{2,3},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{2,3},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{6},{6}}
{{},{},{},{1},{1},{2,4},{6},{7}}
{{},{},{},{1},{1},{2,4},{6},{2,4}}
{{},{},{},{1},{1},{2,4},{6},{2,5}}
{{},{},{},{1},{1},{2,4},{6},{3,4}}
{{},{},{},{1},{1},{2,4},{6},{3,5}}
{{},{},{},{1},{1},{2,4},{6},{3,6}}
{{},{},{},{1},{1},{2,4},{6},{3,7}}
{{},{},{},{1},{1},{2,4},{6},{4,5}}
{{},{},{},{1},{1},{2,4},{6},{5,6}}
{{},{},{},{1},{1},{2,4},{6},{5,7}}
{{},{},{},{1},{1},{2,4},{6},{1,2,3}}
{{},{},{},{1},{1},{2,4},{6},{2,3,4}}
{{},{},{},{1},{1},{2,4},{6},{2,3,5}}
{{},{},{},{1},{1},{2,4},{6},{2,4,5}}
{{},{},{},{1},{1},{2,4},{6},{3,4,5}}
{{},{},{},{1},{1},{2,4},{6},{3,5,6}}
{{},{},{},{1},{1},{2,4},{6},{3,5,7}}
{{},{},{},{1},{1},{2,4},{6},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{2,4},{2,4}}
{{},{},{},{1},{1},{2,4},{2,4},{2,5}}
{{},{},{},{1},{1},{2,4},{2,4},{3,4}}
{{},{},{},{1},{1},{2,4},{2,4},{3,5}}
{{},{},{},{1},{1},{2,4},{2,4},{3,6}}
{{},{},{},{1},{1},{2,4},{2,4},{4,5}}
{{},{},{},{1},{1},{2,4},{2,4},{5,6}}
{{},{},{},{1},{1},{2,4},{2,4},{6,7}}
{{},{},{},{1},{1},{2,4},{2,4},{1,2,3}}
{{},{},{},{1},{1},{2,4},{2,4},{2,3,4}}
{{},{},{},{1},{1},{2,4},{2,4},{2,3,5}}
{{},{},{},{1},{1},{2,4},{2,4},{2,4,5}}
{{},{},{},{1},{1},{2,4},{2,4},{3,4,5}}
{{},{},{},{1},{1},{2,4},{2,4},{3,5,6}}
{{},{},{},{1},{1},{2,4},{2,4},{3,6,7}}
{{},{},{},{1},{1},{2,4},{2,4},{5,6,7}}
{{},{},{},{1},{1},{2,4},{2,4},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{2,4},{3,5,6,7}}
{{},{},{},{1},{1},{2,4},{2,5},{3,4}}
{{},{},{},{1},{1},{2,4},{2,5},{3,6}}
{{},{},{},{1},{1},{2,4},{2,5},{4,5}}
{{},{},{},{1},{1},{2,4},{2,5},{4,7}}
{{},{},{},{1},{1},{2,4},{2,5},{6,7}}
{{},{},{},{1},{1},{2,4},{2,5},{1,2,3}}
{{},{},{},{1},{1},{2,4},{2,5},{2,3,4}}
{{},{},{},{1},{1},{2,4},{2,5},{2,4,5}}
{{},{},{},{1},{1},{2,4},{2,5},{3,4,5}}
{{},{},{},{1},{1},{2,4},{2,5},{3,4,7}}
{{},{},{},{1},{1},{2,4},{2,5},{3,6,7}}
{{},{},{},{1},{1},{2,4},{2,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{3,4},{2,7}}
{{},{},{},{1},{1},{2,4},{3,4},{4,5}}
{{},{},{},{1},{1},{2,4},{3,4},{5,6}}
{{},{},{},{1},{1},{2,4},{3,4},{6,7}}
{{},{},{},{1},{1},{2,4},{3,4},{1,2,3}}
{{},{},{},{1},{1},{2,4},{3,4},{2,3,4}}
{{},{},{},{1},{1},{2,4},{3,4},{2,3,5}}
{{},{},{},{1},{1},{2,4},{3,4},{2,4,5}}
{{},{},{},{1},{1},{2,4},{3,4},{2,5,7}}
{{},{},{},{1},{1},{2,4},{3,4},{5,6,7}}
{{},{},{},{1},{1},{2,4},{3,4},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{3,5},{2,7}}
{{},{},{},{1},{1},{2,4},{3,5},{4,5}}
{{},{},{},{1},{1},{2,4},{3,5},{4,7}}
{{},{},{},{1},{1},{2,4},{3,5},{6,7}}
{{},{},{},{1},{1},{2,4},{3,5},{1,2,3}}
{{},{},{},{1},{1},{2,4},{3,5},{2,3,4}}
{{},{},{},{1},{1},{2,4},{3,5},{2,4,5}}
{{},{},{},{1},{1},{2,4},{3,5},{2,4,7}}
{{},{},{},{1},{1},{2,4},{3,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{3,6},{7}}
{{},{},{},{1},{1},{2,4},{3,6},{3,6}}
{{},{},{},{1},{1},{2,4},{3,6},{4,5}}
{{},{},{},{1},{1},{2,4},{3,6},{5,6}}
{{},{},{},{1},{1},{2,4},{3,6},{5,7}}
{{},{},{},{1},{1},{2,4},{3,6},{1,2,3}}
{{},{},{},{1},{1},{2,4},{3,6},{2,3,4}}
{{},{},{},{1},{1},{2,4},{3,6},{2,3,5}}
{{},{},{},{1},{1},{2,4},{3,6},{2,4,5}}
{{},{},{},{1},{1},{2,4},{3,6},{3,4,5}}
{{},{},{},{1},{1},{2,4},{3,6},{3,5,6}}
{{},{},{},{1},{1},{2,4},{3,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{4,5},{7}}
{{},{},{},{1},{1},{2,4},{4,5},{2,7}}
{{},{},{},{1},{1},{2,4},{4,5},{3,7}}
{{},{},{},{1},{1},{2,4},{4,5},{4,5}}
{{},{},{},{1},{1},{2,4},{4,5},{5,6}}
{{},{},{},{1},{1},{2,4},{4,5},{6,7}}
{{},{},{},{1},{1},{2,4},{4,5},{1,2,3}}
{{},{},{},{1},{1},{2,4},{4,5},{2,3,4}}
{{},{},{},{1},{1},{2,4},{4,5},{2,3,5}}
{{},{},{},{1},{1},{2,4},{4,5},{2,3,7}}
{{},{},{},{1},{1},{2,4},{4,5},{2,4,5}}
{{},{},{},{1},{1},{2,4},{4,5},{3,4,5}}
{{},{},{},{1},{1},{2,4},{4,5},{3,5,6}}
{{},{},{},{1},{1},{2,4},{4,5},{3,6,7}}
{{},{},{},{1},{1},{2,4},{4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{5,6},{7}}
{{},{},{},{1},{1},{2,4},{5,6},{3,7}}
{{},{},{},{1},{1},{2,4},{5,6},{5,6}}
{{},{},{},{1},{1},{2,4},{5,6},{1,2,3}}
{{},{},{},{1},{1},{2,4},{5,6},{2,3,4}}
{{},{},{},{1},{1},{2,4},{5,6},{2,3,5}}
{{},{},{},{1},{1},{2,4},{5,6},{2,4,5}}
{{},{},{},{1},{1},{2,4},{5,6},{3,4,5}}
{{},{},{},{1},{1},{2,4},{5,6},{3,5,6}}
{{},{},{},{1},{1},{2,4},{5,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{1,2,3},{7}}
{{},{},{},{1},{1},{2,4},{1,2,3},{4,7}}
{{},{},{},{1},{1},{2,4},{1,2,3},{5,7}}
{{},{},{},{1},{1},{2,4},{1,2,3},{6,7}}
{{},{},{},{1},{1},{2,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{2,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{2,4},{1,2,3},{2,3,5}}
{{},{},{},{1},{1},{2,4},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{2,4},{1,2,3},{3,4,5}}
{{},{},{},{1},{1},{2,4},{1,2,3},{3,5,6}}
{{},{},{},{1},{1},{2,4},{1,2,3},{4,5,7}}
{{},{},{},{1},{1},{2,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{1},{2,4},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{2,3,4},{7}}
{{},{},{},{1},{1},{2,4},{2,3,4},{5,7}}
{{},{},{},{1},{1},{2,4},{2,3,4},{6,7}}
{{},{},{},{1},{1},{2,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{2,4},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{2,4},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{2,4},{2,3,4},{3,4,5}}
{{},{},{},{1},{1},{2,4},{2,3,4},{3,5,6}}
{{},{},{},{1},{1},{2,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{2,4},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{2,3,5},{7}}
{{},{},{},{1},{1},{2,4},{2,3,5},{4,7}}
{{},{},{},{1},{1},{2,4},{2,3,5},{6,7}}
{{},{},{},{1},{1},{2,4},{2,3,5},{2,3,5}}
{{},{},{},{1},{1},{2,4},{2,3,5},{2,4,5}}
{{},{},{},{1},{1},{2,4},{2,3,5},{3,4,5}}
{{},{},{},{1},{1},{2,4},{2,3,5},{3,5,6}}
{{},{},{},{1},{1},{2,4},{2,3,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{2,4,5},{7}}
{{},{},{},{1},{1},{2,4},{2,4,5},{3,7}}
{{},{},{},{1},{1},{2,4},{2,4,5},{6,7}}
{{},{},{},{1},{1},{2,4},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{2,4},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{2,4},{2,4,5},{3,5,6}}
{{},{},{},{1},{1},{2,4},{2,4,5},{3,6,7}}
{{},{},{},{1},{1},{2,4},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{3,4,5},{7}}
{{},{},{},{1},{1},{2,4},{3,4,5},{2,7}}
{{},{},{},{1},{1},{2,4},{3,4,5},{6,7}}
{{},{},{},{1},{1},{2,4},{3,4,5},{3,4,5}}
{{},{},{},{1},{1},{2,4},{3,4,5},{3,5,6}}
{{},{},{},{1},{1},{2,4},{3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{3,5,6},{7}}
{{},{},{},{1},{1},{2,4},{3,5,6},{3,5,6}}
{{},{},{},{1},{1},{2,4},{3,5,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,4},{2,3,4,5},{7}}
{{},{},{},{1},{1},{2,4},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{2,4},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{6},{6}}
{{},{},{},{1},{1},{4,5},{6},{7}}
{{},{},{},{1},{1},{4,5},{6},{2,6}}
{{},{},{},{1},{1},{4,5},{6},{2,7}}
{{},{},{},{1},{1},{4,5},{6},{4,5}}
{{},{},{},{1},{1},{4,5},{6},{1,2,3}}
{{},{},{},{1},{1},{4,5},{6},{2,3,4}}
{{},{},{},{1},{1},{4,5},{6},{2,3,6}}
{{},{},{},{1},{1},{4,5},{6},{2,3,7}}
{{},{},{},{1},{1},{4,5},{6},{2,4,5}}
{{},{},{},{1},{1},{4,5},{6},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{2,6},{7}}
{{},{},{},{1},{1},{4,5},{2,6},{2,6}}
{{},{},{},{1},{1},{4,5},{2,6},{3,6}}
{{},{},{},{1},{1},{4,5},{2,6},{3,7}}
{{},{},{},{1},{1},{4,5},{2,6},{4,5}}
{{},{},{},{1},{1},{4,5},{2,6},{1,2,3}}
{{},{},{},{1},{1},{4,5},{2,6},{2,3,4}}
{{},{},{},{1},{1},{4,5},{2,6},{2,3,6}}
{{},{},{},{1},{1},{4,5},{2,6},{2,4,5}}
{{},{},{},{1},{1},{4,5},{2,6},{3,4,5}}
{{},{},{},{1},{1},{4,5},{2,6},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{4,5},{4,5}}
{{},{},{},{1},{1},{4,5},{4,5},{6,7}}
{{},{},{},{1},{1},{4,5},{4,5},{1,2,3}}
{{},{},{},{1},{1},{4,5},{4,5},{2,3,4}}
{{},{},{},{1},{1},{4,5},{4,5},{2,3,6}}
{{},{},{},{1},{1},{4,5},{4,5},{2,4,5}}
{{},{},{},{1},{1},{4,5},{4,5},{2,6,7}}
{{},{},{},{1},{1},{4,5},{4,5},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{4,5},{2,3,6,7}}
{{},{},{},{1},{1},{4,5},{1,2,3},{7}}
{{},{},{},{1},{1},{4,5},{1,2,3},{4,7}}
{{},{},{},{1},{1},{4,5},{1,2,3},{6,7}}
{{},{},{},{1},{1},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{4,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{4,5},{1,2,3},{2,3,6}}
{{},{},{},{1},{1},{4,5},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{1},{4,5},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{2,3,4},{7}}
{{},{},{},{1},{1},{4,5},{2,3,4},{5,7}}
{{},{},{},{1},{1},{4,5},{2,3,4},{6,7}}
{{},{},{},{1},{1},{4,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{4,5},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{4,5},{2,3,4},{2,3,6}}
{{},{},{},{1},{1},{4,5},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{4,5},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{2,3,6},{7}}
{{},{},{},{1},{1},{4,5},{2,3,6},{2,3,6}}
{{},{},{},{1},{1},{4,5},{2,3,6},{2,4,5}}
{{},{},{},{1},{1},{4,5},{2,3,6},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{2,4,5},{7}}
{{},{},{},{1},{1},{4,5},{2,4,5},{3,7}}
{{},{},{},{1},{1},{4,5},{2,4,5},{6,7}}
{{},{},{},{1},{1},{4,5},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{4,5},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{4,5},{2,4,5},{3,6,7}}
{{},{},{},{1},{1},{4,5},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{4,5},{2,3,4,5},{7}}
{{},{},{},{1},{1},{4,5},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{4,5},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1,2,3},{6},{6}}
{{},{},{},{1},{1},{1,2,3},{6},{7}}
{{},{},{},{1},{1},{1,2,3},{6},{4,6}}
{{},{},{},{1},{1},{1,2,3},{6},{4,7}}
{{},{},{},{1},{1},{1,2,3},{6},{1,2,3}}
{{},{},{},{1},{1},{1,2,3},{6},{2,3,4}}
{{},{},{},{1},{1},{1,2,3},{6},{2,4,5}}
{{},{},{},{1},{1},{1,2,3},{6},{4,5,6}}
{{},{},{},{1},{1},{1,2,3},{6},{4,5,7}}
{{},{},{},{1},{1},{1,2,3},{6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2,3},{4,6},{7}}
{{},{},{},{1},{1},{1,2,3},{4,6},{4,6}}
{{},{},{},{1},{1},{1,2,3},{4,6},{5,6}}
{{},{},{},{1},{1},{1,2,3},{4,6},{5,7}}
{{},{},{},{1},{1},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1},{1},{1,2,3},{4,6},{2,3,4}}
{{},{},{},{1},{1},{1,2,3},{4,6},{2,3,5}}
{{},{},{},{1},{1},{1,2,3},{4,6},{2,4,5}}
{{},{},{},{1},{1},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{1},{1},{1,2,3},{4,6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{2,4,5}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{2,3,4,5}}
{{},{},{},{1},{1},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{7}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{5,7}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{6,7}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{1,2,3},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{1,2,3},{2,4,5},{7}}
{{},{},{},{1},{1},{1,2,3},{2,4,5},{3,7}}
{{},{},{},{1},{1},{1,2,3},{2,4,5},{6,7}}
{{},{},{},{1},{1},{1,2,3},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{1,2,3},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{1,2,3},{2,4,5},{4,5,6}}
{{},{},{},{1},{1},{1,2,3},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{1,2,3},{4,5,6},{7}}
{{},{},{},{1},{1},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{1},{1,2,3},{4,5,6},{2,3,4,5}}
{{},{},{},{1},{1},{1,2,3},{2,3,4,5},{7}}
{{},{},{},{1},{1},{1,2,3},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{1,2,3},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4},{6},{6}}
{{},{},{},{1},{1},{2,3,4},{6},{7}}
{{},{},{},{1},{1},{2,3,4},{6},{5,6}}
{{},{},{},{1},{1},{2,3,4},{6},{5,7}}
{{},{},{},{1},{1},{2,3,4},{6},{2,3,4}}
{{},{},{},{1},{1},{2,3,4},{6},{2,3,5}}
{{},{},{},{1},{1},{2,3,4},{6},{2,4,5}}
{{},{},{},{1},{1},{2,3,4},{6},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4},{5,6},{7}}
{{},{},{},{1},{1},{2,3,4},{5,6},{5,6}}
{{},{},{},{1},{1},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{1},{1},{2,3,4},{5,6},{2,3,5}}
{{},{},{},{1},{1},{2,3,4},{5,6},{2,4,5}}
{{},{},{},{1},{1},{2,3,4},{5,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,3,4},{6,7}}
{{},{},{},{1},{1},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{1},{2,3,4},{2,3,4},{2,3,5}}
{{},{},{},{1},{1},{2,3,4},{2,3,4},{2,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{1},{2,3,4},{2,3,4},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,3,5},{6,7}}
{{},{},{},{1},{1},{2,3,4},{2,3,5},{2,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,3,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,4,5},{7}}
{{},{},{},{1},{1},{2,3,4},{2,4,5},{3,7}}
{{},{},{},{1},{1},{2,3,4},{2,4,5},{6,7}}
{{},{},{},{1},{1},{2,3,4},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4},{2,3,4,5},{7}}
{{},{},{},{1},{1},{2,3,4},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{2,3,4},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4,5},{6},{6}}
{{},{},{},{1},{1},{2,4,5},{6},{7}}
{{},{},{},{1},{1},{2,4,5},{6},{3,6}}
{{},{},{},{1},{1},{2,4,5},{6},{3,7}}
{{},{},{},{1},{1},{2,4,5},{6},{2,4,5}}
{{},{},{},{1},{1},{2,4,5},{6},{3,4,5}}
{{},{},{},{1},{1},{2,4,5},{6},{2,3,4,5}}
{{},{},{},{1},{1},{2,4,5},{3,6},{7}}
{{},{},{},{1},{1},{2,4,5},{3,6},{3,6}}
{{},{},{},{1},{1},{2,4,5},{3,6},{2,4,5}}
{{},{},{},{1},{1},{2,4,5},{3,6},{3,4,5}}
{{},{},{},{1},{1},{2,4,5},{3,6},{2,3,4,5}}
{{},{},{},{1},{1},{2,4,5},{2,4,5},{6,7}}
{{},{},{},{1},{1},{2,4,5},{2,4,5},{2,4,5}}
{{},{},{},{1},{1},{2,4,5},{2,4,5},{3,4,5}}
{{},{},{},{1},{1},{2,4,5},{2,4,5},{3,6,7}}
{{},{},{},{1},{1},{2,4,5},{2,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4,5},{3,4,5},{6,7}}
{{},{},{},{1},{1},{2,4,5},{3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,4,5},{2,3,4,5},{7}}
{{},{},{},{1},{1},{2,4,5},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{2,4,5},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4,5},{6},{6}}
{{},{},{},{1},{1},{2,3,4,5},{6},{7}}
{{},{},{},{1},{1},{2,3,4,5},{6},{2,3,4,5}}
{{},{},{},{1},{1},{2,3,4,5},{2,3,4,5},{6,7}}
{{},{},{},{1},{1},{2,3,4,5},{2,3,4,5},{2,3,4,5}}
{{},{},{},{1},{2},{3},{4},{4}}
{{},{},{},{1},{2},{3},{4},{5}}
{{},{},{},{1},{2},{3},{4},{7}}
{{},{},{},{1},{2},{3},{4},{1,2}}
{{},{},{},{1},{2},{3},{4},{1,5}}
{{},{},{},{1},{2},{3},{4},{2,3}}
{{},{},{},{1},{2},{3},{4},{2,4}}
{{},{},{},{1},{2},{3},{4},{2,6}}
{{},{},{},{1},{2},{3},{4},{2,7}}
{{},{},{},{1},{2},{3},{4},{4,5}}
{{},{},{},{1},{2},{3},{4},{5,6}}
{{},{},{},{1},{2},{3},{4},{5,7}}
{{},{},{},{1},{2},{3},{4},{1,2,3}}
{{},{},{},{1},{2},{3},{4},{1,2,6}}
{{},{},{},{1},{2},{3},{4},{1,5,6}}
{{},{},{},{1},{2},{3},{4},{2,3,4}}
{{},{},{},{1},{2},{3},{4},{2,3,7}}
{{},{},{},{1},{2},{3},{4},{2,4,6}}
{{},{},{},{1},{2},{3},{4},{2,6,7}}
{{},{},{},{1},{2},{3},{4},{4,5,6}}
{{},{},{},{1},{2},{3},{4},{5,6,7}}
{{},{},{},{1},{2},{3},{1,2},{7}}
{{},{},{},{1},{2},{3},{1,2},{1,2}}
{{},{},{},{1},{2},{3},{1,2},{1,3}}
{{},{},{},{1},{2},{3},{1,2},{1,5}}
{{},{},{},{1},{2},{3},{1,2},{1,6}}
{{},{},{},{1},{2},{3},{1,2},{3,4}}
{{},{},{},{1},{2},{3},{1,2},{3,7}}
{{},{},{},{1},{2},{3},{1,2},{4,5}}
{{},{},{},{1},{2},{3},{1,2},{4,6}}
{{},{},{},{1},{2},{3},{1,2},{4,7}}
{{},{},{},{1},{2},{3},{1,2},{6,7}}
{{},{},{},{1},{2},{3},{1,2},{1,2,3}}
{{},{},{},{1},{2},{3},{1,2},{1,2,6}}
{{},{},{},{1},{2},{3},{1,2},{1,3,5}}
{{},{},{},{1},{2},{3},{1,2},{1,5,6}}
{{},{},{},{1},{2},{3},{1,2},{3,4,5}}
{{},{},{},{1},{2},{3},{1,2},{3,4,7}}
{{},{},{},{1},{2},{3},{1,2},{4,5,6}}
{{},{},{},{1},{2},{3},{1,2},{4,5,7}}
{{},{},{},{1},{2},{3},{1,2},{4,6,7}}
{{},{},{},{1},{2},{3},{1,2},{3,4,5,7}}
{{},{},{},{1},{2},{3},{1,2},{4,5,6,7}}
{{},{},{},{1},{2},{3},{1,5},{7}}
{{},{},{},{1},{2},{3},{1,5},{1,5}}
{{},{},{},{1},{2},{3},{1,5},{1,6}}
{{},{},{},{1},{2},{3},{1,5},{2,4}}
{{},{},{},{1},{2},{3},{1,5},{2,6}}
{{},{},{},{1},{2},{3},{1,5},{3,5}}
{{},{},{},{1},{2},{3},{1,5},{3,7}}
{{},{},{},{1},{2},{3},{1,5},{4,5}}
{{},{},{},{1},{2},{3},{1,5},{4,6}}
{{},{},{},{1},{2},{3},{1,5},{4,7}}
{{},{},{},{1},{2},{3},{1,5},{5,6}}
{{},{},{},{1},{2},{3},{1,5},{6,7}}
{{},{},{},{1},{2},{3},{1,5},{1,2,3}}
{{},{},{},{1},{2},{3},{1,5},{1,2,6}}
{{},{},{},{1},{2},{3},{1,5},{1,3,5}}
{{},{},{},{1},{2},{3},{1,5},{1,5,6}}
{{},{},{},{1},{2},{3},{1,5},{2,3,4}}
{{},{},{},{1},{2},{3},{1,5},{2,4,6}}
{{},{},{},{1},{2},{3},{1,5},{3,4,5}}
{{},{},{},{1},{2},{3},{1,5},{3,4,7}}
{{},{},{},{1},{2},{3},{1,5},{4,5,6}}
{{},{},{},{1},{2},{3},{1,5},{4,6,7}}
{{},{},{},{1},{2},{3},{4,5},{7}}
{{},{},{},{1},{2},{3},{4,5},{3,7}}
{{},{},{},{1},{2},{3},{4,5},{4,5}}
{{},{},{},{1},{2},{3},{4,5},{4,6}}
{{},{},{},{1},{2},{3},{4,5},{6,7}}
{{},{},{},{1},{2},{3},{4,5},{1,2,3}}
{{},{},{},{1},{2},{3},{4,5},{1,2,6}}
{{},{},{},{1},{2},{3},{4,5},{1,3,5}}
{{},{},{},{1},{2},{3},{4,5},{1,5,6}}
{{},{},{},{1},{2},{3},{4,5},{3,4,5}}
{{},{},{},{1},{2},{3},{4,5},{4,5,6}}
{{},{},{},{1},{2},{3},{1,2,3},{7}}
{{},{},{},{1},{2},{3},{1,2,3},{4,7}}
{{},{},{},{1},{2},{3},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{3},{1,2,3},{1,2,6}}
{{},{},{},{1},{2},{3},{1,2,3},{1,5,6}}
{{},{},{},{1},{2},{3},{1,2,3},{4,5,6}}
{{},{},{},{1},{2},{3},{1,2,3},{4,5,7}}
{{},{},{},{1},{2},{3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{2},{3},{1,2,6},{7}}
{{},{},{},{1},{2},{3},{1,2,6},{4,7}}
{{},{},{},{1},{2},{3},{1,2,6},{1,2,6}}
{{},{},{},{1},{2},{3},{1,2,6},{1,3,5}}
{{},{},{},{1},{2},{3},{1,2,6},{1,5,6}}
{{},{},{},{1},{2},{3},{1,2,6},{3,4,5}}
{{},{},{},{1},{2},{3},{1,2,6},{4,5,6}}
{{},{},{},{1},{2},{3},{1,2,6},{4,5,7}}
{{},{},{},{1},{2},{3},{1,5,6},{7}}
{{},{},{},{1},{2},{3},{1,5,6},{4,7}}
{{},{},{},{1},{2},{3},{1,5,6},{1,5,6}}
{{},{},{},{1},{2},{3},{1,5,6},{2,4,6}}
{{},{},{},{1},{2},{3},{1,5,6},{4,5,6}}
{{},{},{},{1},{2},{3},{4,5,6},{7}}
{{},{},{},{1},{2},{3},{4,5,6},{4,5,6}}
{{},{},{},{1},{2},{4},{4},{4}}
{{},{},{},{1},{2},{4},{4},{5}}
{{},{},{},{1},{2},{4},{4},{6}}
{{},{},{},{1},{2},{4},{4},{1,2}}
{{},{},{},{1},{2},{4},{4},{1,3}}
{{},{},{},{1},{2},{4},{4},{1,5}}
{{},{},{},{1},{2},{4},{4},{2,3}}
{{},{},{},{1},{2},{4},{4},{2,4}}
{{},{},{},{1},{2},{4},{4},{2,6}}
{{},{},{},{1},{2},{4},{4},{3,4}}
{{},{},{},{1},{2},{4},{4},{3,5}}
{{},{},{},{1},{2},{4},{4},{3,6}}
{{},{},{},{1},{2},{4},{4},{4,5}}
{{},{},{},{1},{2},{4},{4},{5,6}}
{{},{},{},{1},{2},{4},{4},{6,7}}
{{},{},{},{1},{2},{4},{4},{1,2,3}}
{{},{},{},{1},{2},{4},{4},{1,3,5}}
{{},{},{},{1},{2},{4},{4},{2,3,4}}
{{},{},{},{1},{2},{4},{4},{2,3,6}}
{{},{},{},{1},{2},{4},{4},{2,6,7}}
{{},{},{},{1},{2},{4},{4},{3,4,5}}
{{},{},{},{1},{2},{4},{4},{3,5,6}}
{{},{},{},{1},{2},{4},{4},{3,6,7}}
{{},{},{},{1},{2},{4},{4},{5,6,7}}
{{},{},{},{1},{2},{4},{4},{2,3,6,7}}
{{},{},{},{1},{2},{4},{4},{3,5,6,7}}
{{},{},{},{1},{2},{4},{5},{6}}
{{},{},{},{1},{2},{4},{5},{1,2}}
{{},{},{},{1},{2},{4},{5},{1,3}}
{{},{},{},{1},{2},{4},{5},{1,5}}
{{},{},{},{1},{2},{4},{5},{1,7}}
{{},{},{},{1},{2},{4},{5},{3,4}}
{{},{},{},{1},{2},{4},{5},{3,6}}
{{},{},{},{1},{2},{4},{5},{4,5}}
{{},{},{},{1},{2},{4},{5},{4,7}}
{{},{},{},{1},{2},{4},{5},{6,7}}
{{},{},{},{1},{2},{4},{5},{1,2,3}}
{{},{},{},{1},{2},{4},{5},{1,3,5}}
{{},{},{},{1},{2},{4},{5},{1,3,7}}
{{},{},{},{1},{2},{4},{5},{3,4,5}}
{{},{},{},{1},{2},{4},{5},{3,4,7}}
{{},{},{},{1},{2},{4},{5},{3,6,7}}
{{},{},{},{1},{2},{4},{6},{6}}
{{},{},{},{1},{2},{4},{6},{7}}
{{},{},{},{1},{2},{4},{6},{1,2}}
{{},{},{},{1},{2},{4},{6},{1,3}}
{{},{},{},{1},{2},{4},{6},{1,5}}
{{},{},{},{1},{2},{4},{6},{2,3}}
{{},{},{},{1},{2},{4},{6},{2,4}}
{{},{},{},{1},{2},{4},{6},{2,6}}
{{},{},{},{1},{2},{4},{6},{2,7}}
{{},{},{},{1},{2},{4},{6},{3,4}}
{{},{},{},{1},{2},{4},{6},{3,5}}
{{},{},{},{1},{2},{4},{6},{3,6}}
{{},{},{},{1},{2},{4},{6},{3,7}}
{{},{},{},{1},{2},{4},{6},{4,5}}
{{},{},{},{1},{2},{4},{6},{5,6}}
{{},{},{},{1},{2},{4},{6},{5,7}}
{{},{},{},{1},{2},{4},{6},{1,2,3}}
{{},{},{},{1},{2},{4},{6},{1,3,5}}
{{},{},{},{1},{2},{4},{6},{2,3,4}}
{{},{},{},{1},{2},{4},{6},{2,3,6}}
{{},{},{},{1},{2},{4},{6},{2,3,7}}
{{},{},{},{1},{2},{4},{6},{3,4,5}}
{{},{},{},{1},{2},{4},{6},{3,5,6}}
{{},{},{},{1},{2},{4},{6},{3,5,7}}
{{},{},{},{1},{2},{4},{1,2},{7}}
{{},{},{},{1},{2},{4},{1,2},{1,2}}
{{},{},{},{1},{2},{4},{1,2},{1,3}}
{{},{},{},{1},{2},{4},{1,2},{1,5}}
{{},{},{},{1},{2},{4},{1,2},{2,3}}
{{},{},{},{1},{2},{4},{1,2},{2,4}}
{{},{},{},{1},{2},{4},{1,2},{2,6}}
{{},{},{},{1},{2},{4},{1,2},{3,4}}
{{},{},{},{1},{2},{4},{1,2},{3,5}}
{{},{},{},{1},{2},{4},{1,2},{3,6}}
{{},{},{},{1},{2},{4},{1,2},{3,7}}
{{},{},{},{1},{2},{4},{1,2},{4,5}}
{{},{},{},{1},{2},{4},{1,2},{4,7}}
{{},{},{},{1},{2},{4},{1,2},{5,6}}
{{},{},{},{1},{2},{4},{1,2},{5,7}}
{{},{},{},{1},{2},{4},{1,2},{6,7}}
{{},{},{},{1},{2},{4},{1,2},{1,2,3}}
{{},{},{},{1},{2},{4},{1,2},{1,3,5}}
{{},{},{},{1},{2},{4},{1,2},{2,3,4}}
{{},{},{},{1},{2},{4},{1,2},{2,3,6}}
{{},{},{},{1},{2},{4},{1,2},{3,4,5}}
{{},{},{},{1},{2},{4},{1,2},{3,4,7}}
{{},{},{},{1},{2},{4},{1,2},{3,5,6}}
{{},{},{},{1},{2},{4},{1,2},{3,5,7}}
{{},{},{},{1},{2},{4},{1,2},{3,6,7}}
{{},{},{},{1},{2},{4},{1,2},{4,5,7}}
{{},{},{},{1},{2},{4},{1,2},{5,6,7}}
{{},{},{},{1},{2},{4},{1,2},{3,4,5,7}}
{{},{},{},{1},{2},{4},{1,2},{3,5,6,7}}
{{},{},{},{1},{2},{4},{1,3},{7}}
{{},{},{},{1},{2},{4},{1,3},{1,3}}
{{},{},{},{1},{2},{4},{1,3},{1,5}}
{{},{},{},{1},{2},{4},{1,3},{2,3}}
{{},{},{},{1},{2},{4},{1,3},{2,4}}
{{},{},{},{1},{2},{4},{1,3},{2,6}}
{{},{},{},{1},{2},{4},{1,3},{2,7}}
{{},{},{},{1},{2},{4},{1,3},{3,4}}
{{},{},{},{1},{2},{4},{1,3},{3,5}}
{{},{},{},{1},{2},{4},{1,3},{3,6}}
{{},{},{},{1},{2},{4},{1,3},{4,5}}
{{},{},{},{1},{2},{4},{1,3},{4,7}}
{{},{},{},{1},{2},{4},{1,3},{5,6}}
{{},{},{},{1},{2},{4},{1,3},{5,7}}
{{},{},{},{1},{2},{4},{1,3},{6,7}}
{{},{},{},{1},{2},{4},{1,3},{1,2,3}}
{{},{},{},{1},{2},{4},{1,3},{1,3,5}}
{{},{},{},{1},{2},{4},{1,3},{2,3,4}}
{{},{},{},{1},{2},{4},{1,3},{2,3,6}}
{{},{},{},{1},{2},{4},{1,3},{2,4,7}}
{{},{},{},{1},{2},{4},{1,3},{2,6,7}}
{{},{},{},{1},{2},{4},{1,3},{3,4,5}}
{{},{},{},{1},{2},{4},{1,3},{3,5,6}}
{{},{},{},{1},{2},{4},{1,3},{4,5,7}}
{{},{},{},{1},{2},{4},{1,3},{5,6,7}}
{{},{},{},{1},{2},{4},{1,5},{7}}
{{},{},{},{1},{2},{4},{1,5},{1,5}}
{{},{},{},{1},{2},{4},{1,5},{2,3}}
{{},{},{},{1},{2},{4},{1,5},{2,4}}
{{},{},{},{1},{2},{4},{1,5},{2,6}}
{{},{},{},{1},{2},{4},{1,5},{3,4}}
{{},{},{},{1},{2},{4},{1,5},{3,5}}
{{},{},{},{1},{2},{4},{1,5},{3,6}}
{{},{},{},{1},{2},{4},{1,5},{3,7}}
{{},{},{},{1},{2},{4},{1,5},{4,5}}
{{},{},{},{1},{2},{4},{1,5},{4,7}}
{{},{},{},{1},{2},{4},{1,5},{5,6}}
{{},{},{},{1},{2},{4},{1,5},{6,7}}
{{},{},{},{1},{2},{4},{1,5},{1,2,3}}
{{},{},{},{1},{2},{4},{1,5},{1,3,5}}
{{},{},{},{1},{2},{4},{1,5},{2,3,4}}
{{},{},{},{1},{2},{4},{1,5},{2,3,6}}
{{},{},{},{1},{2},{4},{1,5},{3,4,5}}
{{},{},{},{1},{2},{4},{1,5},{3,4,7}}
{{},{},{},{1},{2},{4},{1,5},{3,5,6}}
{{},{},{},{1},{2},{4},{1,5},{3,6,7}}
{{},{},{},{1},{2},{4},{2,3},{7}}
{{},{},{},{1},{2},{4},{2,3},{1,7}}
{{},{},{},{1},{2},{4},{2,3},{2,3}}
{{},{},{},{1},{2},{4},{2,3},{2,4}}
{{},{},{},{1},{2},{4},{2,3},{2,6}}
{{},{},{},{1},{2},{4},{2,3},{3,4}}
{{},{},{},{1},{2},{4},{2,3},{3,5}}
{{},{},{},{1},{2},{4},{2,3},{3,6}}
{{},{},{},{1},{2},{4},{2,3},{4,5}}
{{},{},{},{1},{2},{4},{2,3},{4,7}}
{{},{},{},{1},{2},{4},{2,3},{5,6}}
{{},{},{},{1},{2},{4},{2,3},{5,7}}
{{},{},{},{1},{2},{4},{2,3},{6,7}}
{{},{},{},{1},{2},{4},{2,3},{1,2,3}}
{{},{},{},{1},{2},{4},{2,3},{1,3,5}}
{{},{},{},{1},{2},{4},{2,3},{1,5,7}}
{{},{},{},{1},{2},{4},{2,3},{2,3,4}}
{{},{},{},{1},{2},{4},{2,3},{2,3,6}}
{{},{},{},{1},{2},{4},{2,3},{3,4,5}}
{{},{},{},{1},{2},{4},{2,3},{3,5,6}}
{{},{},{},{1},{2},{4},{2,3},{4,5,7}}
{{},{},{},{1},{2},{4},{2,3},{5,6,7}}
{{},{},{},{1},{2},{4},{2,4},{7}}
{{},{},{},{1},{2},{4},{2,4},{2,4}}
{{},{},{},{1},{2},{4},{2,4},{2,6}}
{{},{},{},{1},{2},{4},{2,4},{3,4}}
{{},{},{},{1},{2},{4},{2,4},{3,5}}
{{},{},{},{1},{2},{4},{2,4},{3,6}}
{{},{},{},{1},{2},{4},{2,4},{3,7}}
{{},{},{},{1},{2},{4},{2,4},{4,5}}
{{},{},{},{1},{2},{4},{2,4},{5,6}}
{{},{},{},{1},{2},{4},{2,4},{5,7}}
{{},{},{},{1},{2},{4},{2,4},{6,7}}
{{},{},{},{1},{2},{4},{2,4},{1,2,3}}
{{},{},{},{1},{2},{4},{2,4},{1,3,5}}
{{},{},{},{1},{2},{4},{2,4},{2,3,4}}
{{},{},{},{1},{2},{4},{2,4},{2,3,6}}
{{},{},{},{1},{2},{4},{2,4},{3,4,5}}
{{},{},{},{1},{2},{4},{2,4},{3,5,6}}
{{},{},{},{1},{2},{4},{2,4},{3,5,7}}
{{},{},{},{1},{2},{4},{2,4},{3,6,7}}
{{},{},{},{1},{2},{4},{2,4},{5,6,7}}
{{},{},{},{1},{2},{4},{2,4},{3,5,6,7}}
{{},{},{},{1},{2},{4},{2,6},{7}}
{{},{},{},{1},{2},{4},{2,6},{2,6}}
{{},{},{},{1},{2},{4},{2,6},{3,4}}
{{},{},{},{1},{2},{4},{2,6},{3,5}}
{{},{},{},{1},{2},{4},{2,6},{3,6}}
{{},{},{},{1},{2},{4},{2,6},{3,7}}
{{},{},{},{1},{2},{4},{2,6},{4,5}}
{{},{},{},{1},{2},{4},{2,6},{5,6}}
{{},{},{},{1},{2},{4},{2,6},{5,7}}
{{},{},{},{1},{2},{4},{2,6},{1,2,3}}
{{},{},{},{1},{2},{4},{2,6},{1,3,5}}
{{},{},{},{1},{2},{4},{2,6},{2,3,4}}
{{},{},{},{1},{2},{4},{2,6},{2,3,6}}
{{},{},{},{1},{2},{4},{2,6},{3,4,5}}
{{},{},{},{1},{2},{4},{2,6},{3,5,6}}
{{},{},{},{1},{2},{4},{2,6},{3,5,7}}
{{},{},{},{1},{2},{4},{3,4},{7}}
{{},{},{},{1},{2},{4},{3,4},{2,7}}
{{},{},{},{1},{2},{4},{3,4},{3,4}}
{{},{},{},{1},{2},{4},{3,4},{3,5}}
{{},{},{},{1},{2},{4},{3,4},{3,6}}
{{},{},{},{1},{2},{4},{3,4},{4,5}}
{{},{},{},{1},{2},{4},{3,4},{5,6}}
{{},{},{},{1},{2},{4},{3,4},{5,7}}
{{},{},{},{1},{2},{4},{3,4},{6,7}}
{{},{},{},{1},{2},{4},{3,4},{1,2,3}}
{{},{},{},{1},{2},{4},{3,4},{1,3,5}}
{{},{},{},{1},{2},{4},{3,4},{2,3,4}}
{{},{},{},{1},{2},{4},{3,4},{2,3,6}}
{{},{},{},{1},{2},{4},{3,4},{2,6,7}}
{{},{},{},{1},{2},{4},{3,4},{3,4,5}}
{{},{},{},{1},{2},{4},{3,4},{3,5,6}}
{{},{},{},{1},{2},{4},{3,4},{5,6,7}}
{{},{},{},{1},{2},{4},{3,5},{7}}
{{},{},{},{1},{2},{4},{3,5},{1,7}}
{{},{},{},{1},{2},{4},{3,5},{3,5}}
{{},{},{},{1},{2},{4},{3,5},{3,6}}
{{},{},{},{1},{2},{4},{3,5},{4,5}}
{{},{},{},{1},{2},{4},{3,5},{4,7}}
{{},{},{},{1},{2},{4},{3,5},{5,6}}
{{},{},{},{1},{2},{4},{3,5},{6,7}}
{{},{},{},{1},{2},{4},{3,5},{1,2,3}}
{{},{},{},{1},{2},{4},{3,5},{1,3,5}}
{{},{},{},{1},{2},{4},{3,5},{2,3,4}}
{{},{},{},{1},{2},{4},{3,5},{2,3,6}}
{{},{},{},{1},{2},{4},{3,5},{3,4,5}}
{{},{},{},{1},{2},{4},{3,5},{3,5,6}}
{{},{},{},{1},{2},{4},{3,6},{7}}
{{},{},{},{1},{2},{4},{3,6},{2,7}}
{{},{},{},{1},{2},{4},{3,6},{3,6}}
{{},{},{},{1},{2},{4},{3,6},{4,5}}
{{},{},{},{1},{2},{4},{3,6},{5,6}}
{{},{},{},{1},{2},{4},{3,6},{5,7}}
{{},{},{},{1},{2},{4},{3,6},{1,2,3}}
{{},{},{},{1},{2},{4},{3,6},{1,3,5}}
{{},{},{},{1},{2},{4},{3,6},{2,3,4}}
{{},{},{},{1},{2},{4},{3,6},{2,3,6}}
{{},{},{},{1},{2},{4},{3,6},{3,4,5}}
{{},{},{},{1},{2},{4},{3,6},{3,5,6}}
{{},{},{},{1},{2},{4},{4,5},{7}}
{{},{},{},{1},{2},{4},{4,5},{3,7}}
{{},{},{},{1},{2},{4},{4,5},{4,5}}
{{},{},{},{1},{2},{4},{4,5},{5,6}}
{{},{},{},{1},{2},{4},{4,5},{6,7}}
{{},{},{},{1},{2},{4},{4,5},{1,2,3}}
{{},{},{},{1},{2},{4},{4,5},{1,3,5}}
{{},{},{},{1},{2},{4},{4,5},{2,3,4}}
{{},{},{},{1},{2},{4},{4,5},{2,3,6}}
{{},{},{},{1},{2},{4},{4,5},{3,4,5}}
{{},{},{},{1},{2},{4},{4,5},{3,5,6}}
{{},{},{},{1},{2},{4},{4,5},{3,6,7}}
{{},{},{},{1},{2},{4},{5,6},{7}}
{{},{},{},{1},{2},{4},{5,6},{3,7}}
{{},{},{},{1},{2},{4},{5,6},{5,6}}
{{},{},{},{1},{2},{4},{5,6},{1,2,3}}
{{},{},{},{1},{2},{4},{5,6},{1,3,5}}
{{},{},{},{1},{2},{4},{5,6},{2,3,4}}
{{},{},{},{1},{2},{4},{5,6},{2,3,6}}
{{},{},{},{1},{2},{4},{5,6},{3,4,5}}
{{},{},{},{1},{2},{4},{5,6},{3,5,6}}
{{},{},{},{1},{2},{4},{1,2,3},{7}}
{{},{},{},{1},{2},{4},{1,2,3},{4,7}}
{{},{},{},{1},{2},{4},{1,2,3},{5,7}}
{{},{},{},{1},{2},{4},{1,2,3},{6,7}}
{{},{},{},{1},{2},{4},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{4},{1,2,3},{1,3,5}}
{{},{},{},{1},{2},{4},{1,2,3},{2,3,4}}
{{},{},{},{1},{2},{4},{1,2,3},{2,3,6}}
{{},{},{},{1},{2},{4},{1,2,3},{3,4,5}}
{{},{},{},{1},{2},{4},{1,2,3},{3,5,6}}
{{},{},{},{1},{2},{4},{1,2,3},{4,5,7}}
{{},{},{},{1},{2},{4},{1,2,3},{5,6,7}}
{{},{},{},{1},{2},{4},{1,3,5},{7}}
{{},{},{},{1},{2},{4},{1,3,5},{4,7}}
{{},{},{},{1},{2},{4},{1,3,5},{6,7}}
{{},{},{},{1},{2},{4},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{4},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{4},{1,3,5},{2,3,6}}
{{},{},{},{1},{2},{4},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{4},{1,3,5},{3,5,6}}
{{},{},{},{1},{2},{4},{2,3,4},{7}}
{{},{},{},{1},{2},{4},{2,3,4},{5,7}}
{{},{},{},{1},{2},{4},{2,3,4},{6,7}}
{{},{},{},{1},{2},{4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2},{4},{2,3,4},{2,3,6}}
{{},{},{},{1},{2},{4},{2,3,4},{3,4,5}}
{{},{},{},{1},{2},{4},{2,3,4},{3,5,6}}
{{},{},{},{1},{2},{4},{2,3,4},{5,6,7}}
{{},{},{},{1},{2},{4},{2,3,6},{7}}
{{},{},{},{1},{2},{4},{2,3,6},{5,7}}
{{},{},{},{1},{2},{4},{2,3,6},{2,3,6}}
{{},{},{},{1},{2},{4},{2,3,6},{3,4,5}}
{{},{},{},{1},{2},{4},{2,3,6},{3,5,6}}
{{},{},{},{1},{2},{4},{3,4,5},{7}}
{{},{},{},{1},{2},{4},{3,4,5},{6,7}}
{{},{},{},{1},{2},{4},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{4},{3,4,5},{3,5,6}}
{{},{},{},{1},{2},{4},{3,5,6},{7}}
{{},{},{},{1},{2},{4},{3,5,6},{3,5,6}}
{{},{},{},{1},{2},{1,2},{6},{6}}
{{},{},{},{1},{2},{1,2},{6},{7}}
{{},{},{},{1},{2},{1,2},{6},{1,2}}
{{},{},{},{1},{2},{1,2},{6},{1,3}}
{{},{},{},{1},{2},{1,2},{6},{1,5}}
{{},{},{},{1},{2},{1,2},{6},{3,4}}
{{},{},{},{1},{2},{1,2},{6},{3,6}}
{{},{},{},{1},{2},{1,2},{6},{3,7}}
{{},{},{},{1},{2},{1,2},{6},{4,5}}
{{},{},{},{1},{2},{1,2},{6},{4,6}}
{{},{},{},{1},{2},{1,2},{6},{4,7}}
{{},{},{},{1},{2},{1,2},{6},{1,2,3}}
{{},{},{},{1},{2},{1,2},{6},{1,3,5}}
{{},{},{},{1},{2},{1,2},{6},{3,4,5}}
{{},{},{},{1},{2},{1,2},{6},{3,4,6}}
{{},{},{},{1},{2},{1,2},{6},{3,4,7}}
{{},{},{},{1},{2},{1,2},{6},{4,5,6}}
{{},{},{},{1},{2},{1,2},{6},{4,5,7}}
{{},{},{},{1},{2},{1,2},{6},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{6},{3,4,5,7}}
{{},{},{},{1},{2},{1,2},{1,2},{1,2}}
{{},{},{},{1},{2},{1,2},{1,2},{1,3}}
{{},{},{},{1},{2},{1,2},{1,2},{1,5}}
{{},{},{},{1},{2},{1,2},{1,2},{3,4}}
{{},{},{},{1},{2},{1,2},{1,2},{3,6}}
{{},{},{},{1},{2},{1,2},{1,2},{4,5}}
{{},{},{},{1},{2},{1,2},{1,2},{4,6}}
{{},{},{},{1},{2},{1,2},{1,2},{6,7}}
{{},{},{},{1},{2},{1,2},{1,2},{1,2,3}}
{{},{},{},{1},{2},{1,2},{1,2},{1,3,5}}
{{},{},{},{1},{2},{1,2},{1,2},{3,4,5}}
{{},{},{},{1},{2},{1,2},{1,2},{3,4,6}}
{{},{},{},{1},{2},{1,2},{1,2},{3,6,7}}
{{},{},{},{1},{2},{1,2},{1,2},{4,5,6}}
{{},{},{},{1},{2},{1,2},{1,2},{4,6,7}}
{{},{},{},{1},{2},{1,2},{1,2},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{1,2},{3,4,6,7}}
{{},{},{},{1},{2},{1,2},{1,2},{4,5,6,7}}
{{},{},{},{1},{2},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{},{1},{2},{1,2},{1,3},{7}}
{{},{},{},{1},{2},{1,2},{1,3},{1,3}}
{{},{},{},{1},{2},{1,2},{1,3},{1,5}}
{{},{},{},{1},{2},{1,2},{1,3},{2,3}}
{{},{},{},{1},{2},{1,2},{1,3},{2,4}}
{{},{},{},{1},{2},{1,2},{1,3},{2,7}}
{{},{},{},{1},{2},{1,2},{1,3},{3,4}}
{{},{},{},{1},{2},{1,2},{1,3},{3,5}}
{{},{},{},{1},{2},{1,2},{1,3},{3,6}}
{{},{},{},{1},{2},{1,2},{1,3},{4,5}}
{{},{},{},{1},{2},{1,2},{1,3},{4,6}}
{{},{},{},{1},{2},{1,2},{1,3},{4,7}}
{{},{},{},{1},{2},{1,2},{1,3},{5,6}}
{{},{},{},{1},{2},{1,2},{1,3},{5,7}}
{{},{},{},{1},{2},{1,2},{1,3},{6,7}}
{{},{},{},{1},{2},{1,2},{1,3},{1,2,3}}
{{},{},{},{1},{2},{1,2},{1,3},{1,3,5}}
{{},{},{},{1},{2},{1,2},{1,3},{2,3,4}}
{{},{},{},{1},{2},{1,2},{1,3},{2,4,7}}
{{},{},{},{1},{2},{1,2},{1,3},{3,4,5}}
{{},{},{},{1},{2},{1,2},{1,3},{3,4,6}}
{{},{},{},{1},{2},{1,2},{1,3},{3,5,6}}
{{},{},{},{1},{2},{1,2},{1,3},{4,5,6}}
{{},{},{},{1},{2},{1,2},{1,3},{4,5,7}}
{{},{},{},{1},{2},{1,2},{1,3},{4,6,7}}
{{},{},{},{1},{2},{1,2},{1,3},{5,6,7}}
{{},{},{},{1},{2},{1,2},{1,3},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{1,3},{4,5,6,7}}
{{},{},{},{1},{2},{1,2},{1,5},{7}}
{{},{},{},{1},{2},{1,2},{1,5},{1,5}}
{{},{},{},{1},{2},{1,2},{1,5},{2,4}}
{{},{},{},{1},{2},{1,2},{1,5},{3,4}}
{{},{},{},{1},{2},{1,2},{1,5},{3,5}}
{{},{},{},{1},{2},{1,2},{1,5},{3,6}}
{{},{},{},{1},{2},{1,2},{1,5},{3,7}}
{{},{},{},{1},{2},{1,2},{1,5},{4,5}}
{{},{},{},{1},{2},{1,2},{1,5},{4,6}}
{{},{},{},{1},{2},{1,2},{1,5},{4,7}}
{{},{},{},{1},{2},{1,2},{1,5},{5,6}}
{{},{},{},{1},{2},{1,2},{1,5},{6,7}}
{{},{},{},{1},{2},{1,2},{1,5},{1,2,3}}
{{},{},{},{1},{2},{1,2},{1,5},{1,3,5}}
{{},{},{},{1},{2},{1,2},{1,5},{2,3,4}}
{{},{},{},{1},{2},{1,2},{1,5},{3,4,5}}
{{},{},{},{1},{2},{1,2},{1,5},{3,4,6}}
{{},{},{},{1},{2},{1,2},{1,5},{3,4,7}}
{{},{},{},{1},{2},{1,2},{1,5},{3,5,6}}
{{},{},{},{1},{2},{1,2},{1,5},{3,6,7}}
{{},{},{},{1},{2},{1,2},{1,5},{4,5,6}}
{{},{},{},{1},{2},{1,2},{1,5},{4,6,7}}
{{},{},{},{1},{2},{1,2},{1,5},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{1,5},{3,4,6,7}}
{{},{},{},{1},{2},{1,2},{3,4},{7}}
{{},{},{},{1},{2},{1,2},{3,4},{2,7}}
{{},{},{},{1},{2},{1,2},{3,4},{3,4}}
{{},{},{},{1},{2},{1,2},{3,4},{3,5}}
{{},{},{},{1},{2},{1,2},{3,4},{3,6}}
{{},{},{},{1},{2},{1,2},{3,4},{4,5}}
{{},{},{},{1},{2},{1,2},{3,4},{4,6}}
{{},{},{},{1},{2},{1,2},{3,4},{5,6}}
{{},{},{},{1},{2},{1,2},{3,4},{5,7}}
{{},{},{},{1},{2},{1,2},{3,4},{6,7}}
{{},{},{},{1},{2},{1,2},{3,4},{1,2,3}}
{{},{},{},{1},{2},{1,2},{3,4},{1,3,5}}
{{},{},{},{1},{2},{1,2},{3,4},{2,3,4}}
{{},{},{},{1},{2},{1,2},{3,4},{3,4,5}}
{{},{},{},{1},{2},{1,2},{3,4},{3,4,6}}
{{},{},{},{1},{2},{1,2},{3,4},{3,5,6}}
{{},{},{},{1},{2},{1,2},{3,4},{4,5,6}}
{{},{},{},{1},{2},{1,2},{3,4},{5,6,7}}
{{},{},{},{1},{2},{1,2},{3,4},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{3,6},{7}}
{{},{},{},{1},{2},{1,2},{3,6},{3,6}}
{{},{},{},{1},{2},{1,2},{3,6},{4,5}}
{{},{},{},{1},{2},{1,2},{3,6},{4,6}}
{{},{},{},{1},{2},{1,2},{3,6},{4,7}}
{{},{},{},{1},{2},{1,2},{3,6},{1,2,3}}
{{},{},{},{1},{2},{1,2},{3,6},{1,3,5}}
{{},{},{},{1},{2},{1,2},{3,6},{3,4,5}}
{{},{},{},{1},{2},{1,2},{3,6},{3,4,6}}
{{},{},{},{1},{2},{1,2},{3,6},{4,5,6}}
{{},{},{},{1},{2},{1,2},{3,6},{4,5,7}}
{{},{},{},{1},{2},{1,2},{3,6},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{4,5},{7}}
{{},{},{},{1},{2},{1,2},{4,5},{3,7}}
{{},{},{},{1},{2},{1,2},{4,5},{4,5}}
{{},{},{},{1},{2},{1,2},{4,5},{4,6}}
{{},{},{},{1},{2},{1,2},{4,5},{6,7}}
{{},{},{},{1},{2},{1,2},{4,5},{1,2,3}}
{{},{},{},{1},{2},{1,2},{4,5},{1,3,5}}
{{},{},{},{1},{2},{1,2},{4,5},{3,4,5}}
{{},{},{},{1},{2},{1,2},{4,5},{3,4,6}}
{{},{},{},{1},{2},{1,2},{4,5},{3,6,7}}
{{},{},{},{1},{2},{1,2},{4,5},{4,5,6}}
{{},{},{},{1},{2},{1,2},{4,5},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{4,6},{7}}
{{},{},{},{1},{2},{1,2},{4,6},{3,7}}
{{},{},{},{1},{2},{1,2},{4,6},{4,6}}
{{},{},{},{1},{2},{1,2},{4,6},{5,6}}
{{},{},{},{1},{2},{1,2},{4,6},{5,7}}
{{},{},{},{1},{2},{1,2},{4,6},{1,2,3}}
{{},{},{},{1},{2},{1,2},{4,6},{1,3,5}}
{{},{},{},{1},{2},{1,2},{4,6},{2,3,4}}
{{},{},{},{1},{2},{1,2},{4,6},{3,4,5}}
{{},{},{},{1},{2},{1,2},{4,6},{3,4,6}}
{{},{},{},{1},{2},{1,2},{4,6},{3,5,6}}
{{},{},{},{1},{2},{1,2},{4,6},{3,5,7}}
{{},{},{},{1},{2},{1,2},{4,6},{4,5,6}}
{{},{},{},{1},{2},{1,2},{4,6},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{1,2,3},{7}}
{{},{},{},{1},{2},{1,2},{1,2,3},{4,7}}
{{},{},{},{1},{2},{1,2},{1,2,3},{6,7}}
{{},{},{},{1},{2},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{1,2},{1,2,3},{1,3,5}}
{{},{},{},{1},{2},{1,2},{1,2,3},{3,4,5}}
{{},{},{},{1},{2},{1,2},{1,2,3},{3,4,6}}
{{},{},{},{1},{2},{1,2},{1,2,3},{4,5,6}}
{{},{},{},{1},{2},{1,2},{1,2,3},{4,5,7}}
{{},{},{},{1},{2},{1,2},{1,2,3},{4,6,7}}
{{},{},{},{1},{2},{1,2},{1,2,3},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{2},{1,2},{1,3,5},{7}}
{{},{},{},{1},{2},{1,2},{1,3,5},{4,7}}
{{},{},{},{1},{2},{1,2},{1,3,5},{6,7}}
{{},{},{},{1},{2},{1,2},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{1,2},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{1,2},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{1,2},{1,3,5},{3,4,6}}
{{},{},{},{1},{2},{1,2},{1,3,5},{3,5,6}}
{{},{},{},{1},{2},{1,2},{1,3,5},{4,5,6}}
{{},{},{},{1},{2},{1,2},{1,3,5},{4,6,7}}
{{},{},{},{1},{2},{1,2},{1,3,5},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{3,4,5},{7}}
{{},{},{},{1},{2},{1,2},{3,4,5},{6,7}}
{{},{},{},{1},{2},{1,2},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{1,2},{3,4,5},{3,4,6}}
{{},{},{},{1},{2},{1,2},{3,4,5},{4,5,6}}
{{},{},{},{1},{2},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{3,4,6},{7}}
{{},{},{},{1},{2},{1,2},{3,4,6},{5,7}}
{{},{},{},{1},{2},{1,2},{3,4,6},{3,4,6}}
{{},{},{},{1},{2},{1,2},{3,4,6},{3,5,6}}
{{},{},{},{1},{2},{1,2},{3,4,6},{4,5,6}}
{{},{},{},{1},{2},{1,2},{3,4,6},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{4,5,6},{7}}
{{},{},{},{1},{2},{1,2},{4,5,6},{3,7}}
{{},{},{},{1},{2},{1,2},{4,5,6},{4,5,6}}
{{},{},{},{1},{2},{1,2},{4,5,6},{3,4,5,6}}
{{},{},{},{1},{2},{1,2},{3,4,5,6},{7}}
{{},{},{},{1},{2},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{1},{2},{1,3},{6},{6}}
{{},{},{},{1},{2},{1,3},{6},{7}}
{{},{},{},{1},{2},{1,3},{6},{1,3}}
{{},{},{},{1},{2},{1,3},{6},{1,5}}
{{},{},{},{1},{2},{1,3},{6},{2,3}}
{{},{},{},{1},{2},{1,3},{6},{2,4}}
{{},{},{},{1},{2},{1,3},{6},{2,6}}
{{},{},{},{1},{2},{1,3},{6},{2,7}}
{{},{},{},{1},{2},{1,3},{6},{3,4}}
{{},{},{},{1},{2},{1,3},{6},{3,5}}
{{},{},{},{1},{2},{1,3},{6},{4,5}}
{{},{},{},{1},{2},{1,3},{6},{4,6}}
{{},{},{},{1},{2},{1,3},{6},{4,7}}
{{},{},{},{1},{2},{1,3},{6},{5,6}}
{{},{},{},{1},{2},{1,3},{6},{5,7}}
{{},{},{},{1},{2},{1,3},{6},{1,2,3}}
{{},{},{},{1},{2},{1,3},{6},{1,3,5}}
{{},{},{},{1},{2},{1,3},{6},{2,3,4}}
{{},{},{},{1},{2},{1,3},{6},{2,4,6}}
{{},{},{},{1},{2},{1,3},{6},{2,4,7}}
{{},{},{},{1},{2},{1,3},{6},{3,4,5}}
{{},{},{},{1},{2},{1,3},{6},{4,5,6}}
{{},{},{},{1},{2},{1,3},{6},{4,5,7}}
{{},{},{},{1},{2},{1,3},{1,3},{1,3}}
{{},{},{},{1},{2},{1,3},{1,3},{1,5}}
{{},{},{},{1},{2},{1,3},{1,3},{2,3}}
{{},{},{},{1},{2},{1,3},{1,3},{2,4}}
{{},{},{},{1},{2},{1,3},{1,3},{2,6}}
{{},{},{},{1},{2},{1,3},{1,3},{3,4}}
{{},{},{},{1},{2},{1,3},{1,3},{3,5}}
{{},{},{},{1},{2},{1,3},{1,3},{4,5}}
{{},{},{},{1},{2},{1,3},{1,3},{4,6}}
{{},{},{},{1},{2},{1,3},{1,3},{5,6}}
{{},{},{},{1},{2},{1,3},{1,3},{6,7}}
{{},{},{},{1},{2},{1,3},{1,3},{1,2,3}}
{{},{},{},{1},{2},{1,3},{1,3},{1,3,5}}
{{},{},{},{1},{2},{1,3},{1,3},{2,3,4}}
{{},{},{},{1},{2},{1,3},{1,3},{2,4,6}}
{{},{},{},{1},{2},{1,3},{1,3},{2,6,7}}
{{},{},{},{1},{2},{1,3},{1,3},{3,4,5}}
{{},{},{},{1},{2},{1,3},{1,3},{4,5,6}}
{{},{},{},{1},{2},{1,3},{1,3},{4,6,7}}
{{},{},{},{1},{2},{1,3},{1,3},{5,6,7}}
{{},{},{},{1},{2},{1,3},{1,3},{2,4,6,7}}
{{},{},{},{1},{2},{1,3},{1,3},{4,5,6,7}}
{{},{},{},{1},{2},{1,3},{1,5},{7}}
{{},{},{},{1},{2},{1,3},{1,5},{1,5}}
{{},{},{},{1},{2},{1,3},{1,5},{2,3}}
{{},{},{},{1},{2},{1,3},{1,5},{2,4}}
{{},{},{},{1},{2},{1,3},{1,5},{2,6}}
{{},{},{},{1},{2},{1,3},{1,5},{3,4}}
{{},{},{},{1},{2},{1,3},{1,5},{3,5}}
{{},{},{},{1},{2},{1,3},{1,5},{3,7}}
{{},{},{},{1},{2},{1,3},{1,5},{4,5}}
{{},{},{},{1},{2},{1,3},{1,5},{4,6}}
{{},{},{},{1},{2},{1,3},{1,5},{4,7}}
{{},{},{},{1},{2},{1,3},{1,5},{5,6}}
{{},{},{},{1},{2},{1,3},{1,5},{6,7}}
{{},{},{},{1},{2},{1,3},{1,5},{1,2,3}}
{{},{},{},{1},{2},{1,3},{1,5},{1,3,5}}
{{},{},{},{1},{2},{1,3},{1,5},{2,3,4}}
{{},{},{},{1},{2},{1,3},{1,5},{2,4,6}}
{{},{},{},{1},{2},{1,3},{1,5},{3,4,5}}
{{},{},{},{1},{2},{1,3},{1,5},{3,4,7}}
{{},{},{},{1},{2},{1,3},{1,5},{4,5,6}}
{{},{},{},{1},{2},{1,3},{1,5},{4,6,7}}
{{},{},{},{1},{2},{1,3},{2,3},{1,7}}
{{},{},{},{1},{2},{1,3},{2,3},{3,4}}
{{},{},{},{1},{2},{1,3},{2,3},{4,5}}
{{},{},{},{1},{2},{1,3},{2,3},{4,6}}
{{},{},{},{1},{2},{1,3},{2,3},{4,7}}
{{},{},{},{1},{2},{1,3},{2,3},{6,7}}
{{},{},{},{1},{2},{1,3},{2,3},{1,2,3}}
{{},{},{},{1},{2},{1,3},{2,3},{1,3,5}}
{{},{},{},{1},{2},{1,3},{2,3},{1,5,7}}
{{},{},{},{1},{2},{1,3},{2,3},{3,4,5}}
{{},{},{},{1},{2},{1,3},{2,3},{4,5,6}}
{{},{},{},{1},{2},{1,3},{2,3},{4,6,7}}
{{},{},{},{1},{2},{1,3},{2,3},{4,5,6,7}}
{{},{},{},{1},{2},{1,3},{2,4},{7}}
{{},{},{},{1},{2},{1,3},{2,4},{2,4}}
{{},{},{},{1},{2},{1,3},{2,4},{2,6}}
{{},{},{},{1},{2},{1,3},{2,4},{3,4}}
{{},{},{},{1},{2},{1,3},{2,4},{3,5}}
{{},{},{},{1},{2},{1,3},{2,4},{3,7}}
{{},{},{},{1},{2},{1,3},{2,4},{4,5}}
{{},{},{},{1},{2},{1,3},{2,4},{4,6}}
{{},{},{},{1},{2},{1,3},{2,4},{5,6}}
{{},{},{},{1},{2},{1,3},{2,4},{5,7}}
{{},{},{},{1},{2},{1,3},{2,4},{6,7}}
{{},{},{},{1},{2},{1,3},{2,4},{1,2,3}}
{{},{},{},{1},{2},{1,3},{2,4},{1,3,5}}
{{},{},{},{1},{2},{1,3},{2,4},{2,3,4}}
{{},{},{},{1},{2},{1,3},{2,4},{2,4,6}}
{{},{},{},{1},{2},{1,3},{2,4},{3,4,5}}
{{},{},{},{1},{2},{1,3},{2,4},{3,5,7}}
{{},{},{},{1},{2},{1,3},{2,4},{4,5,6}}
{{},{},{},{1},{2},{1,3},{2,4},{5,6,7}}
{{},{},{},{1},{2},{1,3},{2,6},{7}}
{{},{},{},{1},{2},{1,3},{2,6},{2,6}}
{{},{},{},{1},{2},{1,3},{2,6},{3,4}}
{{},{},{},{1},{2},{1,3},{2,6},{3,5}}
{{},{},{},{1},{2},{1,3},{2,6},{4,5}}
{{},{},{},{1},{2},{1,3},{2,6},{4,6}}
{{},{},{},{1},{2},{1,3},{2,6},{4,7}}
{{},{},{},{1},{2},{1,3},{2,6},{5,6}}
{{},{},{},{1},{2},{1,3},{2,6},{5,7}}
{{},{},{},{1},{2},{1,3},{2,6},{1,2,3}}
{{},{},{},{1},{2},{1,3},{2,6},{1,3,5}}
{{},{},{},{1},{2},{1,3},{2,6},{2,3,4}}
{{},{},{},{1},{2},{1,3},{2,6},{2,4,6}}
{{},{},{},{1},{2},{1,3},{2,6},{3,4,5}}
{{},{},{},{1},{2},{1,3},{2,6},{4,5,6}}
{{},{},{},{1},{2},{1,3},{2,6},{4,5,7}}
{{},{},{},{1},{2},{1,3},{3,4},{7}}
{{},{},{},{1},{2},{1,3},{3,4},{2,7}}
{{},{},{},{1},{2},{1,3},{3,4},{3,4}}
{{},{},{},{1},{2},{1,3},{3,4},{3,5}}
{{},{},{},{1},{2},{1,3},{3,4},{4,5}}
{{},{},{},{1},{2},{1,3},{3,4},{4,6}}
{{},{},{},{1},{2},{1,3},{3,4},{5,6}}
{{},{},{},{1},{2},{1,3},{3,4},{5,7}}
{{},{},{},{1},{2},{1,3},{3,4},{6,7}}
{{},{},{},{1},{2},{1,3},{3,4},{1,2,3}}
{{},{},{},{1},{2},{1,3},{3,4},{1,3,5}}
{{},{},{},{1},{2},{1,3},{3,4},{2,3,4}}
{{},{},{},{1},{2},{1,3},{3,4},{2,4,6}}
{{},{},{},{1},{2},{1,3},{3,4},{2,6,7}}
{{},{},{},{1},{2},{1,3},{3,4},{3,4,5}}
{{},{},{},{1},{2},{1,3},{3,4},{4,5,6}}
{{},{},{},{1},{2},{1,3},{3,4},{5,6,7}}
{{},{},{},{1},{2},{1,3},{3,5},{7}}
{{},{},{},{1},{2},{1,3},{3,5},{1,7}}
{{},{},{},{1},{2},{1,3},{3,5},{3,5}}
{{},{},{},{1},{2},{1,3},{3,5},{4,5}}
{{},{},{},{1},{2},{1,3},{3,5},{4,6}}
{{},{},{},{1},{2},{1,3},{3,5},{4,7}}
{{},{},{},{1},{2},{1,3},{3,5},{5,6}}
{{},{},{},{1},{2},{1,3},{3,5},{6,7}}
{{},{},{},{1},{2},{1,3},{3,5},{1,2,3}}
{{},{},{},{1},{2},{1,3},{3,5},{1,3,5}}
{{},{},{},{1},{2},{1,3},{3,5},{2,3,4}}
{{},{},{},{1},{2},{1,3},{3,5},{2,4,6}}
{{},{},{},{1},{2},{1,3},{3,5},{3,4,5}}
{{},{},{},{1},{2},{1,3},{3,5},{4,5,6}}
{{},{},{},{1},{2},{1,3},{3,5},{4,6,7}}
{{},{},{},{1},{2},{1,3},{4,5},{7}}
{{},{},{},{1},{2},{1,3},{4,5},{3,7}}
{{},{},{},{1},{2},{1,3},{4,5},{4,5}}
{{},{},{},{1},{2},{1,3},{4,5},{4,6}}
{{},{},{},{1},{2},{1,3},{4,5},{5,6}}
{{},{},{},{1},{2},{1,3},{4,5},{6,7}}
{{},{},{},{1},{2},{1,3},{4,5},{1,2,3}}
{{},{},{},{1},{2},{1,3},{4,5},{1,3,5}}
{{},{},{},{1},{2},{1,3},{4,5},{2,3,4}}
{{},{},{},{1},{2},{1,3},{4,5},{2,4,6}}
{{},{},{},{1},{2},{1,3},{4,5},{3,4,5}}
{{},{},{},{1},{2},{1,3},{4,5},{4,5,6}}
{{},{},{},{1},{2},{1,3},{4,6},{7}}
{{},{},{},{1},{2},{1,3},{4,6},{2,7}}
{{},{},{},{1},{2},{1,3},{4,6},{4,6}}
{{},{},{},{1},{2},{1,3},{4,6},{5,6}}
{{},{},{},{1},{2},{1,3},{4,6},{5,7}}
{{},{},{},{1},{2},{1,3},{4,6},{1,2,3}}
{{},{},{},{1},{2},{1,3},{4,6},{1,3,5}}
{{},{},{},{1},{2},{1,3},{4,6},{2,3,4}}
{{},{},{},{1},{2},{1,3},{4,6},{2,4,6}}
{{},{},{},{1},{2},{1,3},{4,6},{3,4,5}}
{{},{},{},{1},{2},{1,3},{4,6},{4,5,6}}
{{},{},{},{1},{2},{1,3},{5,6},{7}}
{{},{},{},{1},{2},{1,3},{5,6},{4,7}}
{{},{},{},{1},{2},{1,3},{5,6},{5,6}}
{{},{},{},{1},{2},{1,3},{5,6},{1,2,3}}
{{},{},{},{1},{2},{1,3},{5,6},{1,3,5}}
{{},{},{},{1},{2},{1,3},{5,6},{2,3,4}}
{{},{},{},{1},{2},{1,3},{5,6},{2,4,6}}
{{},{},{},{1},{2},{1,3},{5,6},{3,4,5}}
{{},{},{},{1},{2},{1,3},{5,6},{4,5,6}}
{{},{},{},{1},{2},{1,3},{1,2,3},{7}}
{{},{},{},{1},{2},{1,3},{1,2,3},{4,7}}
{{},{},{},{1},{2},{1,3},{1,2,3},{5,7}}
{{},{},{},{1},{2},{1,3},{1,2,3},{6,7}}
{{},{},{},{1},{2},{1,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{1,3},{1,2,3},{1,3,5}}
{{},{},{},{1},{2},{1,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{2},{1,3},{1,2,3},{2,4,6}}
{{},{},{},{1},{2},{1,3},{1,2,3},{3,4,5}}
{{},{},{},{1},{2},{1,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{2},{1,3},{1,2,3},{4,5,7}}
{{},{},{},{1},{2},{1,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{2},{1,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{2},{1,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{2},{1,3},{1,3,5},{7}}
{{},{},{},{1},{2},{1,3},{1,3,5},{4,7}}
{{},{},{},{1},{2},{1,3},{1,3,5},{6,7}}
{{},{},{},{1},{2},{1,3},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{1,3},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{1,3},{1,3,5},{2,4,6}}
{{},{},{},{1},{2},{1,3},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{1,3},{1,3,5},{4,5,6}}
{{},{},{},{1},{2},{1,3},{1,3,5},{4,6,7}}
{{},{},{},{1},{2},{1,3},{2,3,4},{7}}
{{},{},{},{1},{2},{1,3},{2,3,4},{5,7}}
{{},{},{},{1},{2},{1,3},{2,3,4},{6,7}}
{{},{},{},{1},{2},{1,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{2},{1,3},{2,3,4},{2,4,6}}
{{},{},{},{1},{2},{1,3},{2,3,4},{3,4,5}}
{{},{},{},{1},{2},{1,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{2},{1,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{2},{1,3},{2,4,6},{7}}
{{},{},{},{1},{2},{1,3},{2,4,6},{5,7}}
{{},{},{},{1},{2},{1,3},{2,4,6},{2,4,6}}
{{},{},{},{1},{2},{1,3},{2,4,6},{3,4,5}}
{{},{},{},{1},{2},{1,3},{2,4,6},{4,5,6}}
{{},{},{},{1},{2},{1,3},{3,4,5},{7}}
{{},{},{},{1},{2},{1,3},{3,4,5},{6,7}}
{{},{},{},{1},{2},{1,3},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{1,3},{3,4,5},{4,5,6}}
{{},{},{},{1},{2},{1,3},{4,5,6},{7}}
{{},{},{},{1},{2},{1,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{2},{1,5},{6},{6}}
{{},{},{},{1},{2},{1,5},{6},{7}}
{{},{},{},{1},{2},{1,5},{6},{1,5}}
{{},{},{},{1},{2},{1,5},{6},{2,4}}
{{},{},{},{1},{2},{1,5},{6},{3,4}}
{{},{},{},{1},{2},{1,5},{6},{3,5}}
{{},{},{},{1},{2},{1,5},{6},{3,6}}
{{},{},{},{1},{2},{1,5},{6},{3,7}}
{{},{},{},{1},{2},{1,5},{6},{4,5}}
{{},{},{},{1},{2},{1,5},{6},{4,6}}
{{},{},{},{1},{2},{1,5},{6},{4,7}}
{{},{},{},{1},{2},{1,5},{6},{1,2,3}}
{{},{},{},{1},{2},{1,5},{6},{1,3,5}}
{{},{},{},{1},{2},{1,5},{6},{2,3,4}}
{{},{},{},{1},{2},{1,5},{6},{3,4,5}}
{{},{},{},{1},{2},{1,5},{6},{3,4,6}}
{{},{},{},{1},{2},{1,5},{6},{3,4,7}}
{{},{},{},{1},{2},{1,5},{1,5},{1,5}}
{{},{},{},{1},{2},{1,5},{1,5},{2,4}}
{{},{},{},{1},{2},{1,5},{1,5},{3,4}}
{{},{},{},{1},{2},{1,5},{1,5},{3,5}}
{{},{},{},{1},{2},{1,5},{1,5},{3,6}}
{{},{},{},{1},{2},{1,5},{1,5},{4,5}}
{{},{},{},{1},{2},{1,5},{1,5},{4,6}}
{{},{},{},{1},{2},{1,5},{1,5},{6,7}}
{{},{},{},{1},{2},{1,5},{1,5},{1,2,3}}
{{},{},{},{1},{2},{1,5},{1,5},{1,3,5}}
{{},{},{},{1},{2},{1,5},{1,5},{2,3,4}}
{{},{},{},{1},{2},{1,5},{1,5},{3,4,5}}
{{},{},{},{1},{2},{1,5},{1,5},{3,4,6}}
{{},{},{},{1},{2},{1,5},{1,5},{3,6,7}}
{{},{},{},{1},{2},{1,5},{1,5},{4,6,7}}
{{},{},{},{1},{2},{1,5},{1,5},{3,4,6,7}}
{{},{},{},{1},{2},{1,5},{2,4},{3,4}}
{{},{},{},{1},{2},{1,5},{2,4},{3,6}}
{{},{},{},{1},{2},{1,5},{2,4},{4,5}}
{{},{},{},{1},{2},{1,5},{2,4},{4,6}}
{{},{},{},{1},{2},{1,5},{2,4},{6,7}}
{{},{},{},{1},{2},{1,5},{2,4},{1,2,3}}
{{},{},{},{1},{2},{1,5},{2,4},{1,3,5}}
{{},{},{},{1},{2},{1,5},{2,4},{3,4,5}}
{{},{},{},{1},{2},{1,5},{2,4},{3,4,6}}
{{},{},{},{1},{2},{1,5},{2,4},{3,6,7}}
{{},{},{},{1},{2},{1,5},{3,4},{7}}
{{},{},{},{1},{2},{1,5},{3,4},{2,7}}
{{},{},{},{1},{2},{1,5},{3,4},{3,4}}
{{},{},{},{1},{2},{1,5},{3,4},{3,5}}
{{},{},{},{1},{2},{1,5},{3,4},{3,6}}
{{},{},{},{1},{2},{1,5},{3,4},{4,5}}
{{},{},{},{1},{2},{1,5},{3,4},{4,6}}
{{},{},{},{1},{2},{1,5},{3,4},{5,7}}
{{},{},{},{1},{2},{1,5},{3,4},{6,7}}
{{},{},{},{1},{2},{1,5},{3,4},{1,2,3}}
{{},{},{},{1},{2},{1,5},{3,4},{1,3,5}}
{{},{},{},{1},{2},{1,5},{3,4},{2,3,4}}
{{},{},{},{1},{2},{1,5},{3,4},{3,4,5}}
{{},{},{},{1},{2},{1,5},{3,4},{3,4,6}}
{{},{},{},{1},{2},{1,5},{3,5},{7}}
{{},{},{},{1},{2},{1,5},{3,5},{1,7}}
{{},{},{},{1},{2},{1,5},{3,5},{3,5}}
{{},{},{},{1},{2},{1,5},{3,5},{3,6}}
{{},{},{},{1},{2},{1,5},{3,5},{4,5}}
{{},{},{},{1},{2},{1,5},{3,5},{4,6}}
{{},{},{},{1},{2},{1,5},{3,5},{4,7}}
{{},{},{},{1},{2},{1,5},{3,5},{6,7}}
{{},{},{},{1},{2},{1,5},{3,5},{1,2,3}}
{{},{},{},{1},{2},{1,5},{3,5},{1,3,5}}
{{},{},{},{1},{2},{1,5},{3,5},{2,3,4}}
{{},{},{},{1},{2},{1,5},{3,5},{3,4,5}}
{{},{},{},{1},{2},{1,5},{3,5},{3,4,6}}
{{},{},{},{1},{2},{1,5},{3,5},{4,6,7}}
{{},{},{},{1},{2},{1,5},{3,6},{7}}
{{},{},{},{1},{2},{1,5},{3,6},{3,6}}
{{},{},{},{1},{2},{1,5},{3,6},{4,5}}
{{},{},{},{1},{2},{1,5},{3,6},{4,6}}
{{},{},{},{1},{2},{1,5},{3,6},{4,7}}
{{},{},{},{1},{2},{1,5},{3,6},{1,2,3}}
{{},{},{},{1},{2},{1,5},{3,6},{1,3,5}}
{{},{},{},{1},{2},{1,5},{3,6},{2,3,4}}
{{},{},{},{1},{2},{1,5},{3,6},{3,4,5}}
{{},{},{},{1},{2},{1,5},{3,6},{3,4,6}}
{{},{},{},{1},{2},{1,5},{4,5},{7}}
{{},{},{},{1},{2},{1,5},{4,5},{3,7}}
{{},{},{},{1},{2},{1,5},{4,5},{4,5}}
{{},{},{},{1},{2},{1,5},{4,5},{4,6}}
{{},{},{},{1},{2},{1,5},{4,5},{6,7}}
{{},{},{},{1},{2},{1,5},{4,5},{1,2,3}}
{{},{},{},{1},{2},{1,5},{4,5},{1,3,5}}
{{},{},{},{1},{2},{1,5},{4,5},{2,3,4}}
{{},{},{},{1},{2},{1,5},{4,5},{3,4,5}}
{{},{},{},{1},{2},{1,5},{4,5},{3,4,6}}
{{},{},{},{1},{2},{1,5},{4,5},{3,6,7}}
{{},{},{},{1},{2},{1,5},{4,6},{7}}
{{},{},{},{1},{2},{1,5},{4,6},{3,7}}
{{},{},{},{1},{2},{1,5},{4,6},{4,6}}
{{},{},{},{1},{2},{1,5},{4,6},{1,2,3}}
{{},{},{},{1},{2},{1,5},{4,6},{1,3,5}}
{{},{},{},{1},{2},{1,5},{4,6},{2,3,4}}
{{},{},{},{1},{2},{1,5},{4,6},{3,4,5}}
{{},{},{},{1},{2},{1,5},{4,6},{3,4,6}}
{{},{},{},{1},{2},{1,5},{1,2,3},{7}}
{{},{},{},{1},{2},{1,5},{1,2,3},{4,7}}
{{},{},{},{1},{2},{1,5},{1,2,3},{5,7}}
{{},{},{},{1},{2},{1,5},{1,2,3},{6,7}}
{{},{},{},{1},{2},{1,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{1,5},{1,2,3},{1,3,5}}
{{},{},{},{1},{2},{1,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{2},{1,5},{1,2,3},{3,4,5}}
{{},{},{},{1},{2},{1,5},{1,2,3},{3,4,6}}
{{},{},{},{1},{2},{1,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{2},{1,5},{1,2,3},{4,6,7}}
{{},{},{},{1},{2},{1,5},{1,3,5},{7}}
{{},{},{},{1},{2},{1,5},{1,3,5},{4,7}}
{{},{},{},{1},{2},{1,5},{1,3,5},{6,7}}
{{},{},{},{1},{2},{1,5},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{1,5},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{1,5},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{1,5},{1,3,5},{3,4,6}}
{{},{},{},{1},{2},{1,5},{1,3,5},{4,6,7}}
{{},{},{},{1},{2},{1,5},{2,3,4},{7}}
{{},{},{},{1},{2},{1,5},{2,3,4},{5,7}}
{{},{},{},{1},{2},{1,5},{2,3,4},{6,7}}
{{},{},{},{1},{2},{1,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{2},{1,5},{2,3,4},{3,4,5}}
{{},{},{},{1},{2},{1,5},{2,3,4},{3,4,6}}
{{},{},{},{1},{2},{1,5},{3,4,5},{7}}
{{},{},{},{1},{2},{1,5},{3,4,5},{6,7}}
{{},{},{},{1},{2},{1,5},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{1,5},{3,4,5},{3,4,6}}
{{},{},{},{1},{2},{1,5},{3,4,6},{7}}
{{},{},{},{1},{2},{1,5},{3,4,6},{3,4,6}}
{{},{},{},{1},{2},{3,4},{6},{6}}
{{},{},{},{1},{2},{3,4},{6},{7}}
{{},{},{},{1},{2},{3,4},{6},{2,6}}
{{},{},{},{1},{2},{3,4},{6},{2,7}}
{{},{},{},{1},{2},{3,4},{6},{3,4}}
{{},{},{},{1},{2},{3,4},{6},{3,5}}
{{},{},{},{1},{2},{3,4},{6},{4,5}}
{{},{},{},{1},{2},{3,4},{6},{5,6}}
{{},{},{},{1},{2},{3,4},{6},{5,7}}
{{},{},{},{1},{2},{3,4},{6},{1,2,3}}
{{},{},{},{1},{2},{3,4},{6},{1,3,5}}
{{},{},{},{1},{2},{3,4},{6},{2,3,4}}
{{},{},{},{1},{2},{3,4},{6},{3,4,5}}
{{},{},{},{1},{2},{3,4},{2,6},{7}}
{{},{},{},{1},{2},{3,4},{2,6},{2,6}}
{{},{},{},{1},{2},{3,4},{2,6},{3,4}}
{{},{},{},{1},{2},{3,4},{2,6},{3,5}}
{{},{},{},{1},{2},{3,4},{2,6},{4,5}}
{{},{},{},{1},{2},{3,4},{2,6},{5,6}}
{{},{},{},{1},{2},{3,4},{2,6},{5,7}}
{{},{},{},{1},{2},{3,4},{2,6},{1,2,3}}
{{},{},{},{1},{2},{3,4},{2,6},{1,3,5}}
{{},{},{},{1},{2},{3,4},{2,6},{2,3,4}}
{{},{},{},{1},{2},{3,4},{2,6},{3,4,5}}
{{},{},{},{1},{2},{3,4},{3,4},{3,4}}
{{},{},{},{1},{2},{3,4},{3,4},{3,5}}
{{},{},{},{1},{2},{3,4},{3,4},{4,5}}
{{},{},{},{1},{2},{3,4},{3,4},{5,6}}
{{},{},{},{1},{2},{3,4},{3,4},{6,7}}
{{},{},{},{1},{2},{3,4},{3,4},{1,2,3}}
{{},{},{},{1},{2},{3,4},{3,4},{1,3,5}}
{{},{},{},{1},{2},{3,4},{3,4},{2,3,4}}
{{},{},{},{1},{2},{3,4},{3,4},{2,6,7}}
{{},{},{},{1},{2},{3,4},{3,4},{3,4,5}}
{{},{},{},{1},{2},{3,4},{3,4},{5,6,7}}
{{},{},{},{1},{2},{3,4},{3,5},{4,5}}
{{},{},{},{1},{2},{3,4},{3,5},{4,7}}
{{},{},{},{1},{2},{3,4},{3,5},{6,7}}
{{},{},{},{1},{2},{3,4},{3,5},{1,2,3}}
{{},{},{},{1},{2},{3,4},{3,5},{1,3,5}}
{{},{},{},{1},{2},{3,4},{3,5},{3,4,5}}
{{},{},{},{1},{2},{3,4},{4,5},{7}}
{{},{},{},{1},{2},{3,4},{4,5},{3,7}}
{{},{},{},{1},{2},{3,4},{4,5},{4,5}}
{{},{},{},{1},{2},{3,4},{4,5},{5,6}}
{{},{},{},{1},{2},{3,4},{4,5},{6,7}}
{{},{},{},{1},{2},{3,4},{4,5},{1,2,3}}
{{},{},{},{1},{2},{3,4},{4,5},{1,3,5}}
{{},{},{},{1},{2},{3,4},{4,5},{2,3,4}}
{{},{},{},{1},{2},{3,4},{4,5},{3,4,5}}
{{},{},{},{1},{2},{3,4},{5,6},{7}}
{{},{},{},{1},{2},{3,4},{5,6},{5,6}}
{{},{},{},{1},{2},{3,4},{5,6},{1,2,3}}
{{},{},{},{1},{2},{3,4},{5,6},{1,3,5}}
{{},{},{},{1},{2},{3,4},{5,6},{2,3,4}}
{{},{},{},{1},{2},{3,4},{5,6},{3,4,5}}
{{},{},{},{1},{2},{3,4},{1,2,3},{7}}
{{},{},{},{1},{2},{3,4},{1,2,3},{4,7}}
{{},{},{},{1},{2},{3,4},{1,2,3},{5,7}}
{{},{},{},{1},{2},{3,4},{1,2,3},{6,7}}
{{},{},{},{1},{2},{3,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{3,4},{1,2,3},{1,3,5}}
{{},{},{},{1},{2},{3,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{2},{3,4},{1,2,3},{3,4,5}}
{{},{},{},{1},{2},{3,4},{1,2,3},{4,5,7}}
{{},{},{},{1},{2},{3,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{2},{3,4},{1,3,5},{7}}
{{},{},{},{1},{2},{3,4},{1,3,5},{4,7}}
{{},{},{},{1},{2},{3,4},{1,3,5},{6,7}}
{{},{},{},{1},{2},{3,4},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{3,4},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{3,4},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{3,4},{2,3,4},{7}}
{{},{},{},{1},{2},{3,4},{2,3,4},{5,7}}
{{},{},{},{1},{2},{3,4},{2,3,4},{6,7}}
{{},{},{},{1},{2},{3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2},{3,4},{2,3,4},{3,4,5}}
{{},{},{},{1},{2},{3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{2},{3,4},{3,4,5},{7}}
{{},{},{},{1},{2},{3,4},{3,4,5},{6,7}}
{{},{},{},{1},{2},{3,4},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{4,5},{6},{6}}
{{},{},{},{1},{2},{4,5},{6},{7}}
{{},{},{},{1},{2},{4,5},{6},{3,6}}
{{},{},{},{1},{2},{4,5},{6},{3,7}}
{{},{},{},{1},{2},{4,5},{6},{4,5}}
{{},{},{},{1},{2},{4,5},{6},{1,2,3}}
{{},{},{},{1},{2},{4,5},{6},{1,3,5}}
{{},{},{},{1},{2},{4,5},{6},{3,4,5}}
{{},{},{},{1},{2},{4,5},{3,6},{7}}
{{},{},{},{1},{2},{4,5},{3,6},{3,6}}
{{},{},{},{1},{2},{4,5},{3,6},{4,5}}
{{},{},{},{1},{2},{4,5},{3,6},{1,2,3}}
{{},{},{},{1},{2},{4,5},{3,6},{1,3,5}}
{{},{},{},{1},{2},{4,5},{3,6},{3,4,5}}
{{},{},{},{1},{2},{4,5},{4,5},{4,5}}
{{},{},{},{1},{2},{4,5},{4,5},{6,7}}
{{},{},{},{1},{2},{4,5},{4,5},{1,2,3}}
{{},{},{},{1},{2},{4,5},{4,5},{1,3,5}}
{{},{},{},{1},{2},{4,5},{4,5},{3,4,5}}
{{},{},{},{1},{2},{4,5},{4,5},{3,6,7}}
{{},{},{},{1},{2},{4,5},{1,2,3},{7}}
{{},{},{},{1},{2},{4,5},{1,2,3},{4,7}}
{{},{},{},{1},{2},{4,5},{1,2,3},{6,7}}
{{},{},{},{1},{2},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{4,5},{1,2,3},{1,3,5}}
{{},{},{},{1},{2},{4,5},{1,2,3},{3,4,5}}
{{},{},{},{1},{2},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{2},{4,5},{1,3,5},{7}}
{{},{},{},{1},{2},{4,5},{1,3,5},{4,7}}
{{},{},{},{1},{2},{4,5},{1,3,5},{6,7}}
{{},{},{},{1},{2},{4,5},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{4,5},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{4,5},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{4,5},{3,4,5},{7}}
{{},{},{},{1},{2},{4,5},{3,4,5},{6,7}}
{{},{},{},{1},{2},{4,5},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{1,2,3},{6},{6}}
{{},{},{},{1},{2},{1,2,3},{6},{7}}
{{},{},{},{1},{2},{1,2,3},{6},{4,6}}
{{},{},{},{1},{2},{1,2,3},{6},{4,7}}
{{},{},{},{1},{2},{1,2,3},{6},{1,2,3}}
{{},{},{},{1},{2},{1,2,3},{6},{1,3,5}}
{{},{},{},{1},{2},{1,2,3},{6},{3,4,5}}
{{},{},{},{1},{2},{1,2,3},{6},{4,5,6}}
{{},{},{},{1},{2},{1,2,3},{6},{4,5,7}}
{{},{},{},{1},{2},{1,2,3},{4,6},{7}}
{{},{},{},{1},{2},{1,2,3},{4,6},{4,6}}
{{},{},{},{1},{2},{1,2,3},{4,6},{5,6}}
{{},{},{},{1},{2},{1,2,3},{4,6},{5,7}}
{{},{},{},{1},{2},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1},{2},{1,2,3},{4,6},{1,3,5}}
{{},{},{},{1},{2},{1,2,3},{4,6},{2,3,4}}
{{},{},{},{1},{2},{1,2,3},{4,6},{3,4,5}}
{{},{},{},{1},{2},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{1},{2},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1},{2},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{2},{1,2,3},{1,2,3},{1,3,5}}
{{},{},{},{1},{2},{1,2,3},{1,2,3},{3,4,5}}
{{},{},{},{1},{2},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{2},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{2},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{7}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{4,7}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{6,7}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{4,5,6}}
{{},{},{},{1},{2},{1,2,3},{1,3,5},{4,6,7}}
{{},{},{},{1},{2},{1,2,3},{3,4,5},{7}}
{{},{},{},{1},{2},{1,2,3},{3,4,5},{6,7}}
{{},{},{},{1},{2},{1,2,3},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{1,2,3},{3,4,5},{4,5,6}}
{{},{},{},{1},{2},{1,2,3},{4,5,6},{7}}
{{},{},{},{1},{2},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{2},{1,3,5},{6},{6}}
{{},{},{},{1},{2},{1,3,5},{6},{7}}
{{},{},{},{1},{2},{1,3,5},{6},{4,6}}
{{},{},{},{1},{2},{1,3,5},{6},{4,7}}
{{},{},{},{1},{2},{1,3,5},{6},{1,3,5}}
{{},{},{},{1},{2},{1,3,5},{6},{2,3,4}}
{{},{},{},{1},{2},{1,3,5},{6},{3,4,5}}
{{},{},{},{1},{2},{1,3,5},{4,6},{7}}
{{},{},{},{1},{2},{1,3,5},{4,6},{4,6}}
{{},{},{},{1},{2},{1,3,5},{4,6},{1,3,5}}
{{},{},{},{1},{2},{1,3,5},{4,6},{2,3,4}}
{{},{},{},{1},{2},{1,3,5},{4,6},{3,4,5}}
{{},{},{},{1},{2},{1,3,5},{1,3,5},{6,7}}
{{},{},{},{1},{2},{1,3,5},{1,3,5},{1,3,5}}
{{},{},{},{1},{2},{1,3,5},{1,3,5},{2,3,4}}
{{},{},{},{1},{2},{1,3,5},{1,3,5},{3,4,5}}
{{},{},{},{1},{2},{1,3,5},{1,3,5},{4,6,7}}
{{},{},{},{1},{2},{1,3,5},{2,3,4},{6,7}}
{{},{},{},{1},{2},{1,3,5},{2,3,4},{3,4,5}}
{{},{},{},{1},{2},{1,3,5},{3,4,5},{7}}
{{},{},{},{1},{2},{1,3,5},{3,4,5},{6,7}}
{{},{},{},{1},{2},{1,3,5},{3,4,5},{3,4,5}}
{{},{},{},{1},{2},{3,4,5},{6},{6}}
{{},{},{},{1},{2},{3,4,5},{6},{7}}
{{},{},{},{1},{2},{3,4,5},{6},{3,4,5}}
{{},{},{},{1},{2},{3,4,5},{3,4,5},{6,7}}
{{},{},{},{1},{2},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{},{1},{4},{4},{4},{4}}
{{},{},{},{1},{4},{4},{4},{5}}
{{},{},{},{1},{4},{4},{4},{1,2}}
{{},{},{},{1},{4},{4},{4},{2,3}}
{{},{},{},{1},{4},{4},{4},{2,4}}
{{},{},{},{1},{4},{4},{4},{2,5}}
{{},{},{},{1},{4},{4},{4},{5,6}}
{{},{},{},{1},{4},{4},{4},{1,2,3}}
{{},{},{},{1},{4},{4},{4},{2,3,4}}
{{},{},{},{1},{4},{4},{4},{2,3,5}}
{{},{},{},{1},{4},{4},{4},{2,5,6}}
{{},{},{},{1},{4},{4},{4},{5,6,7}}
{{},{},{},{1},{4},{4},{4},{2,3,5,6}}
{{},{},{},{1},{4},{4},{4},{2,5,6,7}}
{{},{},{},{1},{4},{4},{4},{2,3,5,6,7}}
{{},{},{},{1},{4},{4},{5},{5}}
{{},{},{},{1},{4},{4},{5},{6}}
{{},{},{},{1},{4},{4},{5},{7}}
{{},{},{},{1},{4},{4},{5},{1,2}}
{{},{},{},{1},{4},{4},{5},{2,3}}
{{},{},{},{1},{4},{4},{5},{2,4}}
{{},{},{},{1},{4},{4},{5},{2,5}}
{{},{},{},{1},{4},{4},{5},{2,6}}
{{},{},{},{1},{4},{4},{5},{2,7}}
{{},{},{},{1},{4},{4},{5},{5,6}}
{{},{},{},{1},{4},{4},{5},{6,7}}
{{},{},{},{1},{4},{4},{5},{1,2,3}}
{{},{},{},{1},{4},{4},{5},{2,3,4}}
{{},{},{},{1},{4},{4},{5},{2,3,5}}
{{},{},{},{1},{4},{4},{5},{2,3,6}}
{{},{},{},{1},{4},{4},{5},{2,3,7}}
{{},{},{},{1},{4},{4},{5},{2,5,6}}
{{},{},{},{1},{4},{4},{5},{2,6,7}}
{{},{},{},{1},{4},{4},{5},{2,3,5,6}}
{{},{},{},{1},{4},{4},{5},{2,3,6,7}}
{{},{},{},{1},{4},{4},{1,2},{7}}
{{},{},{},{1},{4},{4},{1,2},{1,2}}
{{},{},{},{1},{4},{4},{1,2},{1,3}}
{{},{},{},{1},{4},{4},{1,2},{2,3}}
{{},{},{},{1},{4},{4},{1,2},{2,4}}
{{},{},{},{1},{4},{4},{1,2},{2,5}}
{{},{},{},{1},{4},{4},{1,2},{3,4}}
{{},{},{},{1},{4},{4},{1,2},{3,5}}
{{},{},{},{1},{4},{4},{1,2},{3,7}}
{{},{},{},{1},{4},{4},{1,2},{4,7}}
{{},{},{},{1},{4},{4},{1,2},{5,6}}
{{},{},{},{1},{4},{4},{1,2},{5,7}}
{{},{},{},{1},{4},{4},{1,2},{1,2,3}}
{{},{},{},{1},{4},{4},{1,2},{2,3,4}}
{{},{},{},{1},{4},{4},{1,2},{2,3,5}}
{{},{},{},{1},{4},{4},{1,2},{2,5,6}}
{{},{},{},{1},{4},{4},{1,2},{3,4,7}}
{{},{},{},{1},{4},{4},{1,2},{3,5,6}}
{{},{},{},{1},{4},{4},{1,2},{3,5,7}}
{{},{},{},{1},{4},{4},{1,2},{5,6,7}}
{{},{},{},{1},{4},{4},{1,2},{2,3,5,6}}
{{},{},{},{1},{4},{4},{1,2},{3,5,6,7}}
{{},{},{},{1},{4},{4},{2,3},{7}}
{{},{},{},{1},{4},{4},{2,3},{1,7}}
{{},{},{},{1},{4},{4},{2,3},{2,3}}
{{},{},{},{1},{4},{4},{2,3},{2,4}}
{{},{},{},{1},{4},{4},{2,3},{2,5}}
{{},{},{},{1},{4},{4},{2,3},{4,7}}
{{},{},{},{1},{4},{4},{2,3},{5,6}}
{{},{},{},{1},{4},{4},{2,3},{5,7}}
{{},{},{},{1},{4},{4},{2,3},{1,2,3}}
{{},{},{},{1},{4},{4},{2,3},{2,3,4}}
{{},{},{},{1},{4},{4},{2,3},{2,3,5}}
{{},{},{},{1},{4},{4},{2,3},{2,5,6}}
{{},{},{},{1},{4},{4},{2,3},{5,6,7}}
{{},{},{},{1},{4},{4},{2,3},{2,3,5,6}}
{{},{},{},{1},{4},{4},{2,4},{7}}
{{},{},{},{1},{4},{4},{2,4},{2,4}}
{{},{},{},{1},{4},{4},{2,4},{2,5}}
{{},{},{},{1},{4},{4},{2,4},{3,4}}
{{},{},{},{1},{4},{4},{2,4},{3,5}}
{{},{},{},{1},{4},{4},{2,4},{3,7}}
{{},{},{},{1},{4},{4},{2,4},{5,6}}
{{},{},{},{1},{4},{4},{2,4},{5,7}}
{{},{},{},{1},{4},{4},{2,4},{1,2,3}}
{{},{},{},{1},{4},{4},{2,4},{2,3,4}}
{{},{},{},{1},{4},{4},{2,4},{2,3,5}}
{{},{},{},{1},{4},{4},{2,4},{2,5,6}}
{{},{},{},{1},{4},{4},{2,4},{3,5,6}}
{{},{},{},{1},{4},{4},{2,4},{3,5,7}}
{{},{},{},{1},{4},{4},{2,4},{5,6,7}}
{{},{},{},{1},{4},{4},{2,4},{2,3,5,6}}
{{},{},{},{1},{4},{4},{2,4},{3,5,6,7}}
{{},{},{},{1},{4},{4},{2,5},{7}}
{{},{},{},{1},{4},{4},{2,5},{2,5}}
{{},{},{},{1},{4},{4},{2,5},{2,6}}
{{},{},{},{1},{4},{4},{2,5},{3,5}}
{{},{},{},{1},{4},{4},{2,5},{3,6}}
{{},{},{},{1},{4},{4},{2,5},{3,7}}
{{},{},{},{1},{4},{4},{2,5},{5,6}}
{{},{},{},{1},{4},{4},{2,5},{6,7}}
{{},{},{},{1},{4},{4},{2,5},{1,2,3}}
{{},{},{},{1},{4},{4},{2,5},{2,3,4}}
{{},{},{},{1},{4},{4},{2,5},{2,3,5}}
{{},{},{},{1},{4},{4},{2,5},{2,3,6}}
{{},{},{},{1},{4},{4},{2,5},{2,5,6}}
{{},{},{},{1},{4},{4},{2,5},{3,5,6}}
{{},{},{},{1},{4},{4},{2,5},{3,6,7}}
{{},{},{},{1},{4},{4},{2,5},{2,3,5,6}}
{{},{},{},{1},{4},{4},{5,6},{7}}
{{},{},{},{1},{4},{4},{5,6},{2,7}}
{{},{},{},{1},{4},{4},{5,6},{5,6}}
{{},{},{},{1},{4},{4},{5,6},{1,2,3}}
{{},{},{},{1},{4},{4},{5,6},{2,3,4}}
{{},{},{},{1},{4},{4},{5,6},{2,3,5}}
{{},{},{},{1},{4},{4},{5,6},{2,3,7}}
{{},{},{},{1},{4},{4},{5,6},{2,5,6}}
{{},{},{},{1},{4},{4},{5,6},{2,3,5,6}}
{{},{},{},{1},{4},{4},{1,2,3},{7}}
{{},{},{},{1},{4},{4},{1,2,3},{4,7}}
{{},{},{},{1},{4},{4},{1,2,3},{5,7}}
{{},{},{},{1},{4},{4},{1,2,3},{1,2,3}}
{{},{},{},{1},{4},{4},{1,2,3},{2,3,4}}
{{},{},{},{1},{4},{4},{1,2,3},{2,3,5}}
{{},{},{},{1},{4},{4},{1,2,3},{2,5,6}}
{{},{},{},{1},{4},{4},{1,2,3},{5,6,7}}
{{},{},{},{1},{4},{4},{1,2,3},{2,3,5,6}}
{{},{},{},{1},{4},{4},{2,3,4},{7}}
{{},{},{},{1},{4},{4},{2,3,4},{5,7}}
{{},{},{},{1},{4},{4},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{4},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{4},{2,3,4},{2,5,6}}
{{},{},{},{1},{4},{4},{2,3,4},{5,6,7}}
{{},{},{},{1},{4},{4},{2,3,4},{2,3,5,6}}
{{},{},{},{1},{4},{4},{2,3,5},{7}}
{{},{},{},{1},{4},{4},{2,3,5},{6,7}}
{{},{},{},{1},{4},{4},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{4},{2,3,5},{2,3,6}}
{{},{},{},{1},{4},{4},{2,3,5},{2,5,6}}
{{},{},{},{1},{4},{4},{2,3,5},{2,3,5,6}}
{{},{},{},{1},{4},{4},{2,5,6},{7}}
{{},{},{},{1},{4},{4},{2,5,6},{3,7}}
{{},{},{},{1},{4},{4},{2,5,6},{2,5,6}}
{{},{},{},{1},{4},{4},{2,5,6},{3,5,6}}
{{},{},{},{1},{4},{4},{2,5,6},{2,3,5,6}}
{{},{},{},{1},{4},{4},{2,3,5,6},{7}}
{{},{},{},{1},{4},{4},{2,3,5,6},{2,3,5,6}}
{{},{},{},{1},{4},{5},{5},{5}}
{{},{},{},{1},{4},{5},{5},{6}}
{{},{},{},{1},{4},{5},{5},{1,2}}
{{},{},{},{1},{4},{5},{5},{2,3}}
{{},{},{},{1},{4},{5},{5},{2,4}}
{{},{},{},{1},{4},{5},{5},{2,5}}
{{},{},{},{1},{4},{5},{5},{2,6}}
{{},{},{},{1},{4},{5},{5},{6,7}}
{{},{},{},{1},{4},{5},{5},{1,2,3}}
{{},{},{},{1},{4},{5},{5},{2,3,4}}
{{},{},{},{1},{4},{5},{5},{2,3,5}}
{{},{},{},{1},{4},{5},{5},{2,3,6}}
{{},{},{},{1},{4},{5},{5},{2,6,7}}
{{},{},{},{1},{4},{5},{5},{2,3,6,7}}
{{},{},{},{1},{4},{5},{6},{6}}
{{},{},{},{1},{4},{5},{6},{7}}
{{},{},{},{1},{4},{5},{6},{1,2}}
{{},{},{},{1},{4},{5},{6},{2,3}}
{{},{},{},{1},{4},{5},{6},{2,4}}
{{},{},{},{1},{4},{5},{6},{2,5}}
{{},{},{},{1},{4},{5},{6},{2,6}}
{{},{},{},{1},{4},{5},{6},{2,7}}
{{},{},{},{1},{4},{5},{6},{1,2,3}}
{{},{},{},{1},{4},{5},{6},{2,3,4}}
{{},{},{},{1},{4},{5},{6},{2,3,5}}
{{},{},{},{1},{4},{5},{6},{2,3,6}}
{{},{},{},{1},{4},{5},{6},{2,3,7}}
{{},{},{},{1},{4},{5},{1,2},{7}}
{{},{},{},{1},{4},{5},{1,2},{1,2}}
{{},{},{},{1},{4},{5},{1,2},{1,3}}
{{},{},{},{1},{4},{5},{1,2},{2,3}}
{{},{},{},{1},{4},{5},{1,2},{2,4}}
{{},{},{},{1},{4},{5},{1,2},{2,5}}
{{},{},{},{1},{4},{5},{1,2},{2,6}}
{{},{},{},{1},{4},{5},{1,2},{3,4}}
{{},{},{},{1},{4},{5},{1,2},{3,5}}
{{},{},{},{1},{4},{5},{1,2},{3,6}}
{{},{},{},{1},{4},{5},{1,2},{3,7}}
{{},{},{},{1},{4},{5},{1,2},{4,7}}
{{},{},{},{1},{4},{5},{1,2},{5,7}}
{{},{},{},{1},{4},{5},{1,2},{6,7}}
{{},{},{},{1},{4},{5},{1,2},{1,2,3}}
{{},{},{},{1},{4},{5},{1,2},{2,3,4}}
{{},{},{},{1},{4},{5},{1,2},{2,3,5}}
{{},{},{},{1},{4},{5},{1,2},{2,3,6}}
{{},{},{},{1},{4},{5},{1,2},{3,4,7}}
{{},{},{},{1},{4},{5},{1,2},{3,5,7}}
{{},{},{},{1},{4},{5},{1,2},{3,6,7}}
{{},{},{},{1},{4},{5},{2,3},{7}}
{{},{},{},{1},{4},{5},{2,3},{1,7}}
{{},{},{},{1},{4},{5},{2,3},{2,3}}
{{},{},{},{1},{4},{5},{2,3},{2,4}}
{{},{},{},{1},{4},{5},{2,3},{2,5}}
{{},{},{},{1},{4},{5},{2,3},{2,6}}
{{},{},{},{1},{4},{5},{2,3},{4,7}}
{{},{},{},{1},{4},{5},{2,3},{5,7}}
{{},{},{},{1},{4},{5},{2,3},{6,7}}
{{},{},{},{1},{4},{5},{2,3},{1,2,3}}
{{},{},{},{1},{4},{5},{2,3},{2,3,4}}
{{},{},{},{1},{4},{5},{2,3},{2,3,5}}
{{},{},{},{1},{4},{5},{2,3},{2,3,6}}
{{},{},{},{1},{4},{5},{2,4},{7}}
{{},{},{},{1},{4},{5},{2,4},{2,4}}
{{},{},{},{1},{4},{5},{2,4},{2,5}}
{{},{},{},{1},{4},{5},{2,4},{2,6}}
{{},{},{},{1},{4},{5},{2,4},{3,4}}
{{},{},{},{1},{4},{5},{2,4},{3,5}}
{{},{},{},{1},{4},{5},{2,4},{3,6}}
{{},{},{},{1},{4},{5},{2,4},{3,7}}
{{},{},{},{1},{4},{5},{2,4},{5,7}}
{{},{},{},{1},{4},{5},{2,4},{6,7}}
{{},{},{},{1},{4},{5},{2,4},{1,2,3}}
{{},{},{},{1},{4},{5},{2,4},{2,3,4}}
{{},{},{},{1},{4},{5},{2,4},{2,3,5}}
{{},{},{},{1},{4},{5},{2,4},{2,3,6}}
{{},{},{},{1},{4},{5},{2,4},{3,5,7}}
{{},{},{},{1},{4},{5},{2,4},{3,6,7}}
{{},{},{},{1},{4},{5},{2,5},{7}}
{{},{},{},{1},{4},{5},{2,5},{2,5}}
{{},{},{},{1},{4},{5},{2,5},{2,6}}
{{},{},{},{1},{4},{5},{2,5},{3,5}}
{{},{},{},{1},{4},{5},{2,5},{3,6}}
{{},{},{},{1},{4},{5},{2,5},{3,7}}
{{},{},{},{1},{4},{5},{2,5},{6,7}}
{{},{},{},{1},{4},{5},{2,5},{1,2,3}}
{{},{},{},{1},{4},{5},{2,5},{2,3,4}}
{{},{},{},{1},{4},{5},{2,5},{2,3,5}}
{{},{},{},{1},{4},{5},{2,5},{2,3,6}}
{{},{},{},{1},{4},{5},{2,5},{3,6,7}}
{{},{},{},{1},{4},{5},{2,6},{7}}
{{},{},{},{1},{4},{5},{2,6},{2,6}}
{{},{},{},{1},{4},{5},{2,6},{3,6}}
{{},{},{},{1},{4},{5},{2,6},{3,7}}
{{},{},{},{1},{4},{5},{2,6},{1,2,3}}
{{},{},{},{1},{4},{5},{2,6},{2,3,4}}
{{},{},{},{1},{4},{5},{2,6},{2,3,5}}
{{},{},{},{1},{4},{5},{2,6},{2,3,6}}
{{},{},{},{1},{4},{5},{1,2,3},{7}}
{{},{},{},{1},{4},{5},{1,2,3},{4,7}}
{{},{},{},{1},{4},{5},{1,2,3},{5,7}}
{{},{},{},{1},{4},{5},{1,2,3},{6,7}}
{{},{},{},{1},{4},{5},{1,2,3},{1,2,3}}
{{},{},{},{1},{4},{5},{1,2,3},{2,3,4}}
{{},{},{},{1},{4},{5},{1,2,3},{2,3,5}}
{{},{},{},{1},{4},{5},{1,2,3},{2,3,6}}
{{},{},{},{1},{4},{5},{2,3,4},{7}}
{{},{},{},{1},{4},{5},{2,3,4},{5,7}}
{{},{},{},{1},{4},{5},{2,3,4},{6,7}}
{{},{},{},{1},{4},{5},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{5},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{5},{2,3,4},{2,3,6}}
{{},{},{},{1},{4},{5},{2,3,5},{7}}
{{},{},{},{1},{4},{5},{2,3,5},{6,7}}
{{},{},{},{1},{4},{5},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{5},{2,3,5},{2,3,6}}
{{},{},{},{1},{4},{5},{2,3,6},{7}}
{{},{},{},{1},{4},{5},{2,3,6},{2,3,6}}
{{},{},{},{1},{4},{1,2},{6},{6}}
{{},{},{},{1},{4},{1,2},{6},{7}}
{{},{},{},{1},{4},{1,2},{6},{1,2}}
{{},{},{},{1},{4},{1,2},{6},{1,3}}
{{},{},{},{1},{4},{1,2},{6},{2,3}}
{{},{},{},{1},{4},{1,2},{6},{2,4}}
{{},{},{},{1},{4},{1,2},{6},{2,5}}
{{},{},{},{1},{4},{1,2},{6},{3,4}}
{{},{},{},{1},{4},{1,2},{6},{3,5}}
{{},{},{},{1},{4},{1,2},{6},{3,6}}
{{},{},{},{1},{4},{1,2},{6},{3,7}}
{{},{},{},{1},{4},{1,2},{6},{4,6}}
{{},{},{},{1},{4},{1,2},{6},{4,7}}
{{},{},{},{1},{4},{1,2},{6},{5,6}}
{{},{},{},{1},{4},{1,2},{6},{5,7}}
{{},{},{},{1},{4},{1,2},{6},{1,2,3}}
{{},{},{},{1},{4},{1,2},{6},{2,3,4}}
{{},{},{},{1},{4},{1,2},{6},{2,3,5}}
{{},{},{},{1},{4},{1,2},{6},{3,4,6}}
{{},{},{},{1},{4},{1,2},{6},{3,4,7}}
{{},{},{},{1},{4},{1,2},{6},{3,5,6}}
{{},{},{},{1},{4},{1,2},{6},{3,5,7}}
{{},{},{},{1},{4},{1,2},{1,2},{1,2}}
{{},{},{},{1},{4},{1,2},{1,2},{1,3}}
{{},{},{},{1},{4},{1,2},{1,2},{2,3}}
{{},{},{},{1},{4},{1,2},{1,2},{2,4}}
{{},{},{},{1},{4},{1,2},{1,2},{2,5}}
{{},{},{},{1},{4},{1,2},{1,2},{3,4}}
{{},{},{},{1},{4},{1,2},{1,2},{3,5}}
{{},{},{},{1},{4},{1,2},{1,2},{3,6}}
{{},{},{},{1},{4},{1,2},{1,2},{4,6}}
{{},{},{},{1},{4},{1,2},{1,2},{5,6}}
{{},{},{},{1},{4},{1,2},{1,2},{6,7}}
{{},{},{},{1},{4},{1,2},{1,2},{1,2,3}}
{{},{},{},{1},{4},{1,2},{1,2},{2,3,4}}
{{},{},{},{1},{4},{1,2},{1,2},{2,3,5}}
{{},{},{},{1},{4},{1,2},{1,2},{3,4,6}}
{{},{},{},{1},{4},{1,2},{1,2},{3,5,6}}
{{},{},{},{1},{4},{1,2},{1,2},{3,6,7}}
{{},{},{},{1},{4},{1,2},{1,2},{4,6,7}}
{{},{},{},{1},{4},{1,2},{1,2},{5,6,7}}
{{},{},{},{1},{4},{1,2},{1,2},{3,4,6,7}}
{{},{},{},{1},{4},{1,2},{1,2},{3,5,6,7}}
{{},{},{},{1},{4},{1,2},{1,3},{2,3}}
{{},{},{},{1},{4},{1,2},{1,3},{2,4}}
{{},{},{},{1},{4},{1,2},{1,3},{2,5}}
{{},{},{},{1},{4},{1,2},{1,3},{2,7}}
{{},{},{},{1},{4},{1,2},{1,3},{4,6}}
{{},{},{},{1},{4},{1,2},{1,3},{5,6}}
{{},{},{},{1},{4},{1,2},{1,3},{6,7}}
{{},{},{},{1},{4},{1,2},{1,3},{1,2,3}}
{{},{},{},{1},{4},{1,2},{1,3},{2,3,4}}
{{},{},{},{1},{4},{1,2},{1,3},{2,3,5}}
{{},{},{},{1},{4},{1,2},{1,3},{2,4,7}}
{{},{},{},{1},{4},{1,2},{1,3},{2,5,7}}
{{},{},{},{1},{4},{1,2},{1,3},{4,6,7}}
{{},{},{},{1},{4},{1,2},{1,3},{5,6,7}}
{{},{},{},{1},{4},{1,2},{2,3},{7}}
{{},{},{},{1},{4},{1,2},{2,3},{1,7}}
{{},{},{},{1},{4},{1,2},{2,3},{2,3}}
{{},{},{},{1},{4},{1,2},{2,3},{2,4}}
{{},{},{},{1},{4},{1,2},{2,3},{2,5}}
{{},{},{},{1},{4},{1,2},{2,3},{3,4}}
{{},{},{},{1},{4},{1,2},{2,3},{3,5}}
{{},{},{},{1},{4},{1,2},{2,3},{3,6}}
{{},{},{},{1},{4},{1,2},{2,3},{4,6}}
{{},{},{},{1},{4},{1,2},{2,3},{4,7}}
{{},{},{},{1},{4},{1,2},{2,3},{5,6}}
{{},{},{},{1},{4},{1,2},{2,3},{5,7}}
{{},{},{},{1},{4},{1,2},{2,3},{6,7}}
{{},{},{},{1},{4},{1,2},{2,3},{1,2,3}}
{{},{},{},{1},{4},{1,2},{2,3},{2,3,4}}
{{},{},{},{1},{4},{1,2},{2,3},{2,3,5}}
{{},{},{},{1},{4},{1,2},{2,3},{3,4,6}}
{{},{},{},{1},{4},{1,2},{2,3},{3,5,6}}
{{},{},{},{1},{4},{1,2},{2,3},{4,6,7}}
{{},{},{},{1},{4},{1,2},{2,3},{5,6,7}}
{{},{},{},{1},{4},{1,2},{2,4},{7}}
{{},{},{},{1},{4},{1,2},{2,4},{2,4}}
{{},{},{},{1},{4},{1,2},{2,4},{2,5}}
{{},{},{},{1},{4},{1,2},{2,4},{3,4}}
{{},{},{},{1},{4},{1,2},{2,4},{3,5}}
{{},{},{},{1},{4},{1,2},{2,4},{3,6}}
{{},{},{},{1},{4},{1,2},{2,4},{3,7}}
{{},{},{},{1},{4},{1,2},{2,4},{4,6}}
{{},{},{},{1},{4},{1,2},{2,4},{5,6}}
{{},{},{},{1},{4},{1,2},{2,4},{5,7}}
{{},{},{},{1},{4},{1,2},{2,4},{6,7}}
{{},{},{},{1},{4},{1,2},{2,4},{1,2,3}}
{{},{},{},{1},{4},{1,2},{2,4},{2,3,4}}
{{},{},{},{1},{4},{1,2},{2,4},{2,3,5}}
{{},{},{},{1},{4},{1,2},{2,4},{3,4,6}}
{{},{},{},{1},{4},{1,2},{2,4},{3,5,6}}
{{},{},{},{1},{4},{1,2},{2,4},{3,5,7}}
{{},{},{},{1},{4},{1,2},{2,4},{3,6,7}}
{{},{},{},{1},{4},{1,2},{2,4},{5,6,7}}
{{},{},{},{1},{4},{1,2},{2,4},{3,5,6,7}}
{{},{},{},{1},{4},{1,2},{2,5},{7}}
{{},{},{},{1},{4},{1,2},{2,5},{2,5}}
{{},{},{},{1},{4},{1,2},{2,5},{3,4}}
{{},{},{},{1},{4},{1,2},{2,5},{3,5}}
{{},{},{},{1},{4},{1,2},{2,5},{3,6}}
{{},{},{},{1},{4},{1,2},{2,5},{3,7}}
{{},{},{},{1},{4},{1,2},{2,5},{4,6}}
{{},{},{},{1},{4},{1,2},{2,5},{5,6}}
{{},{},{},{1},{4},{1,2},{2,5},{6,7}}
{{},{},{},{1},{4},{1,2},{2,5},{1,2,3}}
{{},{},{},{1},{4},{1,2},{2,5},{2,3,4}}
{{},{},{},{1},{4},{1,2},{2,5},{2,3,5}}
{{},{},{},{1},{4},{1,2},{2,5},{3,4,6}}
{{},{},{},{1},{4},{1,2},{2,5},{3,5,6}}
{{},{},{},{1},{4},{1,2},{2,5},{3,6,7}}
{{},{},{},{1},{4},{1,2},{3,4},{7}}
{{},{},{},{1},{4},{1,2},{3,4},{2,7}}
{{},{},{},{1},{4},{1,2},{3,4},{3,4}}
{{},{},{},{1},{4},{1,2},{3,4},{3,5}}
{{},{},{},{1},{4},{1,2},{3,4},{3,6}}
{{},{},{},{1},{4},{1,2},{3,4},{4,6}}
{{},{},{},{1},{4},{1,2},{3,4},{5,6}}
{{},{},{},{1},{4},{1,2},{3,4},{5,7}}
{{},{},{},{1},{4},{1,2},{3,4},{6,7}}
{{},{},{},{1},{4},{1,2},{3,4},{1,2,3}}
{{},{},{},{1},{4},{1,2},{3,4},{2,3,4}}
{{},{},{},{1},{4},{1,2},{3,4},{2,3,5}}
{{},{},{},{1},{4},{1,2},{3,4},{2,5,7}}
{{},{},{},{1},{4},{1,2},{3,4},{3,4,6}}
{{},{},{},{1},{4},{1,2},{3,4},{3,5,6}}
{{},{},{},{1},{4},{1,2},{3,4},{5,6,7}}
{{},{},{},{1},{4},{1,2},{3,5},{7}}
{{},{},{},{1},{4},{1,2},{3,5},{2,7}}
{{},{},{},{1},{4},{1,2},{3,5},{3,5}}
{{},{},{},{1},{4},{1,2},{3,5},{3,6}}
{{},{},{},{1},{4},{1,2},{3,5},{4,6}}
{{},{},{},{1},{4},{1,2},{3,5},{5,6}}
{{},{},{},{1},{4},{1,2},{3,5},{6,7}}
{{},{},{},{1},{4},{1,2},{3,5},{1,2,3}}
{{},{},{},{1},{4},{1,2},{3,5},{2,3,4}}
{{},{},{},{1},{4},{1,2},{3,5},{2,3,5}}
{{},{},{},{1},{4},{1,2},{3,5},{3,4,6}}
{{},{},{},{1},{4},{1,2},{3,5},{3,5,6}}
{{},{},{},{1},{4},{1,2},{3,6},{7}}
{{},{},{},{1},{4},{1,2},{3,6},{3,6}}
{{},{},{},{1},{4},{1,2},{3,6},{4,6}}
{{},{},{},{1},{4},{1,2},{3,6},{4,7}}
{{},{},{},{1},{4},{1,2},{3,6},{5,6}}
{{},{},{},{1},{4},{1,2},{3,6},{5,7}}
{{},{},{},{1},{4},{1,2},{3,6},{1,2,3}}
{{},{},{},{1},{4},{1,2},{3,6},{2,3,4}}
{{},{},{},{1},{4},{1,2},{3,6},{2,3,5}}
{{},{},{},{1},{4},{1,2},{3,6},{3,4,6}}
{{},{},{},{1},{4},{1,2},{3,6},{3,5,6}}
{{},{},{},{1},{4},{1,2},{4,6},{7}}
{{},{},{},{1},{4},{1,2},{4,6},{3,7}}
{{},{},{},{1},{4},{1,2},{4,6},{4,6}}
{{},{},{},{1},{4},{1,2},{4,6},{5,6}}
{{},{},{},{1},{4},{1,2},{4,6},{5,7}}
{{},{},{},{1},{4},{1,2},{4,6},{1,2,3}}
{{},{},{},{1},{4},{1,2},{4,6},{2,3,4}}
{{},{},{},{1},{4},{1,2},{4,6},{2,3,5}}
{{},{},{},{1},{4},{1,2},{4,6},{3,4,6}}
{{},{},{},{1},{4},{1,2},{4,6},{3,5,6}}
{{},{},{},{1},{4},{1,2},{4,6},{3,5,7}}
{{},{},{},{1},{4},{1,2},{5,6},{7}}
{{},{},{},{1},{4},{1,2},{5,6},{3,7}}
{{},{},{},{1},{4},{1,2},{5,6},{5,6}}
{{},{},{},{1},{4},{1,2},{5,6},{1,2,3}}
{{},{},{},{1},{4},{1,2},{5,6},{2,3,4}}
{{},{},{},{1},{4},{1,2},{5,6},{2,3,5}}
{{},{},{},{1},{4},{1,2},{5,6},{3,4,6}}
{{},{},{},{1},{4},{1,2},{5,6},{3,5,6}}
{{},{},{},{1},{4},{1,2},{1,2,3},{7}}
{{},{},{},{1},{4},{1,2},{1,2,3},{4,7}}
{{},{},{},{1},{4},{1,2},{1,2,3},{5,7}}
{{},{},{},{1},{4},{1,2},{1,2,3},{6,7}}
{{},{},{},{1},{4},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{1},{4},{1,2},{1,2,3},{2,3,4}}
{{},{},{},{1},{4},{1,2},{1,2,3},{2,3,5}}
{{},{},{},{1},{4},{1,2},{1,2,3},{3,4,6}}
{{},{},{},{1},{4},{1,2},{1,2,3},{3,5,6}}
{{},{},{},{1},{4},{1,2},{1,2,3},{4,6,7}}
{{},{},{},{1},{4},{1,2},{1,2,3},{5,6,7}}
{{},{},{},{1},{4},{1,2},{2,3,4},{7}}
{{},{},{},{1},{4},{1,2},{2,3,4},{5,7}}
{{},{},{},{1},{4},{1,2},{2,3,4},{6,7}}
{{},{},{},{1},{4},{1,2},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{1,2},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{1,2},{2,3,4},{3,4,6}}
{{},{},{},{1},{4},{1,2},{2,3,4},{3,5,6}}
{{},{},{},{1},{4},{1,2},{2,3,4},{5,6,7}}
{{},{},{},{1},{4},{1,2},{2,3,5},{7}}
{{},{},{},{1},{4},{1,2},{2,3,5},{6,7}}
{{},{},{},{1},{4},{1,2},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{1,2},{2,3,5},{3,4,6}}
{{},{},{},{1},{4},{1,2},{2,3,5},{3,5,6}}
{{},{},{},{1},{4},{1,2},{3,4,6},{7}}
{{},{},{},{1},{4},{1,2},{3,4,6},{5,7}}
{{},{},{},{1},{4},{1,2},{3,4,6},{3,4,6}}
{{},{},{},{1},{4},{1,2},{3,4,6},{3,5,6}}
{{},{},{},{1},{4},{1,2},{3,5,6},{7}}
{{},{},{},{1},{4},{1,2},{3,5,6},{3,5,6}}
{{},{},{},{1},{4},{2,3},{6},{6}}
{{},{},{},{1},{4},{2,3},{6},{7}}
{{},{},{},{1},{4},{2,3},{6},{1,6}}
{{},{},{},{1},{4},{2,3},{6},{1,7}}
{{},{},{},{1},{4},{2,3},{6},{2,3}}
{{},{},{},{1},{4},{2,3},{6},{2,4}}
{{},{},{},{1},{4},{2,3},{6},{2,5}}
{{},{},{},{1},{4},{2,3},{6},{4,6}}
{{},{},{},{1},{4},{2,3},{6},{4,7}}
{{},{},{},{1},{4},{2,3},{6},{5,6}}
{{},{},{},{1},{4},{2,3},{6},{5,7}}
{{},{},{},{1},{4},{2,3},{6},{1,2,3}}
{{},{},{},{1},{4},{2,3},{6},{2,3,4}}
{{},{},{},{1},{4},{2,3},{6},{2,3,5}}
{{},{},{},{1},{4},{2,3},{1,6},{7}}
{{},{},{},{1},{4},{2,3},{1,6},{1,6}}
{{},{},{},{1},{4},{2,3},{1,6},{2,3}}
{{},{},{},{1},{4},{2,3},{1,6},{2,4}}
{{},{},{},{1},{4},{2,3},{1,6},{2,5}}
{{},{},{},{1},{4},{2,3},{1,6},{4,6}}
{{},{},{},{1},{4},{2,3},{1,6},{4,7}}
{{},{},{},{1},{4},{2,3},{1,6},{5,6}}
{{},{},{},{1},{4},{2,3},{1,6},{5,7}}
{{},{},{},{1},{4},{2,3},{1,6},{1,2,3}}
{{},{},{},{1},{4},{2,3},{1,6},{2,3,4}}
{{},{},{},{1},{4},{2,3},{1,6},{2,3,5}}
{{},{},{},{1},{4},{2,3},{2,3},{2,3}}
{{},{},{},{1},{4},{2,3},{2,3},{2,4}}
{{},{},{},{1},{4},{2,3},{2,3},{2,5}}
{{},{},{},{1},{4},{2,3},{2,3},{4,6}}
{{},{},{},{1},{4},{2,3},{2,3},{5,6}}
{{},{},{},{1},{4},{2,3},{2,3},{6,7}}
{{},{},{},{1},{4},{2,3},{2,3},{1,2,3}}
{{},{},{},{1},{4},{2,3},{2,3},{1,6,7}}
{{},{},{},{1},{4},{2,3},{2,3},{2,3,4}}
{{},{},{},{1},{4},{2,3},{2,3},{2,3,5}}
{{},{},{},{1},{4},{2,3},{2,3},{4,6,7}}
{{},{},{},{1},{4},{2,3},{2,3},{5,6,7}}
{{},{},{},{1},{4},{2,3},{2,4},{7}}
{{},{},{},{1},{4},{2,3},{2,4},{2,4}}
{{},{},{},{1},{4},{2,3},{2,4},{2,5}}
{{},{},{},{1},{4},{2,3},{2,4},{3,4}}
{{},{},{},{1},{4},{2,3},{2,4},{3,5}}
{{},{},{},{1},{4},{2,3},{2,4},{3,7}}
{{},{},{},{1},{4},{2,3},{2,4},{4,6}}
{{},{},{},{1},{4},{2,3},{2,4},{5,6}}
{{},{},{},{1},{4},{2,3},{2,4},{5,7}}
{{},{},{},{1},{4},{2,3},{2,4},{6,7}}
{{},{},{},{1},{4},{2,3},{2,4},{1,2,3}}
{{},{},{},{1},{4},{2,3},{2,4},{2,3,4}}
{{},{},{},{1},{4},{2,3},{2,4},{2,3,5}}
{{},{},{},{1},{4},{2,3},{2,4},{3,5,7}}
{{},{},{},{1},{4},{2,3},{2,4},{5,6,7}}
{{},{},{},{1},{4},{2,3},{2,5},{7}}
{{},{},{},{1},{4},{2,3},{2,5},{2,5}}
{{},{},{},{1},{4},{2,3},{2,5},{3,5}}
{{},{},{},{1},{4},{2,3},{2,5},{3,7}}
{{},{},{},{1},{4},{2,3},{2,5},{4,6}}
{{},{},{},{1},{4},{2,3},{2,5},{5,6}}
{{},{},{},{1},{4},{2,3},{2,5},{6,7}}
{{},{},{},{1},{4},{2,3},{2,5},{1,2,3}}
{{},{},{},{1},{4},{2,3},{2,5},{2,3,4}}
{{},{},{},{1},{4},{2,3},{2,5},{2,3,5}}
{{},{},{},{1},{4},{2,3},{4,6},{7}}
{{},{},{},{1},{4},{2,3},{4,6},{4,6}}
{{},{},{},{1},{4},{2,3},{4,6},{5,6}}
{{},{},{},{1},{4},{2,3},{4,6},{5,7}}
{{},{},{},{1},{4},{2,3},{4,6},{1,2,3}}
{{},{},{},{1},{4},{2,3},{4,6},{2,3,4}}
{{},{},{},{1},{4},{2,3},{4,6},{2,3,5}}
{{},{},{},{1},{4},{2,3},{5,6},{7}}
{{},{},{},{1},{4},{2,3},{5,6},{5,6}}
{{},{},{},{1},{4},{2,3},{5,6},{1,2,3}}
{{},{},{},{1},{4},{2,3},{5,6},{2,3,4}}
{{},{},{},{1},{4},{2,3},{5,6},{2,3,5}}
{{},{},{},{1},{4},{2,3},{1,2,3},{7}}
{{},{},{},{1},{4},{2,3},{1,2,3},{4,7}}
{{},{},{},{1},{4},{2,3},{1,2,3},{5,7}}
{{},{},{},{1},{4},{2,3},{1,2,3},{6,7}}
{{},{},{},{1},{4},{2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{4},{2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{4},{2,3},{1,2,3},{2,3,5}}
{{},{},{},{1},{4},{2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{4},{2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{4},{2,3},{2,3,4},{7}}
{{},{},{},{1},{4},{2,3},{2,3,4},{5,7}}
{{},{},{},{1},{4},{2,3},{2,3,4},{6,7}}
{{},{},{},{1},{4},{2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{2,3},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{4},{2,3},{2,3,5},{7}}
{{},{},{},{1},{4},{2,3},{2,3,5},{6,7}}
{{},{},{},{1},{4},{2,3},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{2,4},{6},{6}}
{{},{},{},{1},{4},{2,4},{6},{7}}
{{},{},{},{1},{4},{2,4},{6},{2,4}}
{{},{},{},{1},{4},{2,4},{6},{2,5}}
{{},{},{},{1},{4},{2,4},{6},{3,4}}
{{},{},{},{1},{4},{2,4},{6},{3,5}}
{{},{},{},{1},{4},{2,4},{6},{3,6}}
{{},{},{},{1},{4},{2,4},{6},{3,7}}
{{},{},{},{1},{4},{2,4},{6},{5,6}}
{{},{},{},{1},{4},{2,4},{6},{5,7}}
{{},{},{},{1},{4},{2,4},{6},{1,2,3}}
{{},{},{},{1},{4},{2,4},{6},{2,3,4}}
{{},{},{},{1},{4},{2,4},{6},{2,3,5}}
{{},{},{},{1},{4},{2,4},{6},{3,5,6}}
{{},{},{},{1},{4},{2,4},{6},{3,5,7}}
{{},{},{},{1},{4},{2,4},{2,4},{2,4}}
{{},{},{},{1},{4},{2,4},{2,4},{2,5}}
{{},{},{},{1},{4},{2,4},{2,4},{3,4}}
{{},{},{},{1},{4},{2,4},{2,4},{3,5}}
{{},{},{},{1},{4},{2,4},{2,4},{3,6}}
{{},{},{},{1},{4},{2,4},{2,4},{5,6}}
{{},{},{},{1},{4},{2,4},{2,4},{6,7}}
{{},{},{},{1},{4},{2,4},{2,4},{1,2,3}}
{{},{},{},{1},{4},{2,4},{2,4},{2,3,4}}
{{},{},{},{1},{4},{2,4},{2,4},{2,3,5}}
{{},{},{},{1},{4},{2,4},{2,4},{3,5,6}}
{{},{},{},{1},{4},{2,4},{2,4},{3,6,7}}
{{},{},{},{1},{4},{2,4},{2,4},{5,6,7}}
{{},{},{},{1},{4},{2,4},{2,4},{3,5,6,7}}
{{},{},{},{1},{4},{2,4},{2,5},{7}}
{{},{},{},{1},{4},{2,4},{2,5},{2,5}}
{{},{},{},{1},{4},{2,4},{2,5},{3,4}}
{{},{},{},{1},{4},{2,4},{2,5},{3,5}}
{{},{},{},{1},{4},{2,4},{2,5},{3,6}}
{{},{},{},{1},{4},{2,4},{2,5},{3,7}}
{{},{},{},{1},{4},{2,4},{2,5},{5,6}}
{{},{},{},{1},{4},{2,4},{2,5},{6,7}}
{{},{},{},{1},{4},{2,4},{2,5},{1,2,3}}
{{},{},{},{1},{4},{2,4},{2,5},{2,3,4}}
{{},{},{},{1},{4},{2,4},{2,5},{2,3,5}}
{{},{},{},{1},{4},{2,4},{2,5},{3,5,6}}
{{},{},{},{1},{4},{2,4},{2,5},{3,6,7}}
{{},{},{},{1},{4},{2,4},{3,4},{2,7}}
{{},{},{},{1},{4},{2,4},{3,4},{5,6}}
{{},{},{},{1},{4},{2,4},{3,4},{6,7}}
{{},{},{},{1},{4},{2,4},{3,4},{1,2,3}}
{{},{},{},{1},{4},{2,4},{3,4},{2,3,4}}
{{},{},{},{1},{4},{2,4},{3,4},{2,3,5}}
{{},{},{},{1},{4},{2,4},{3,4},{2,5,7}}
{{},{},{},{1},{4},{2,4},{3,4},{5,6,7}}
{{},{},{},{1},{4},{2,4},{3,5},{7}}
{{},{},{},{1},{4},{2,4},{3,5},{2,7}}
{{},{},{},{1},{4},{2,4},{3,5},{3,5}}
{{},{},{},{1},{4},{2,4},{3,5},{3,6}}
{{},{},{},{1},{4},{2,4},{3,5},{5,6}}
{{},{},{},{1},{4},{2,4},{3,5},{6,7}}
{{},{},{},{1},{4},{2,4},{3,5},{1,2,3}}
{{},{},{},{1},{4},{2,4},{3,5},{2,3,4}}
{{},{},{},{1},{4},{2,4},{3,5},{2,3,5}}
{{},{},{},{1},{4},{2,4},{3,5},{3,5,6}}
{{},{},{},{1},{4},{2,4},{3,6},{7}}
{{},{},{},{1},{4},{2,4},{3,6},{3,6}}
{{},{},{},{1},{4},{2,4},{3,6},{5,6}}
{{},{},{},{1},{4},{2,4},{3,6},{5,7}}
{{},{},{},{1},{4},{2,4},{3,6},{1,2,3}}
{{},{},{},{1},{4},{2,4},{3,6},{2,3,4}}
{{},{},{},{1},{4},{2,4},{3,6},{2,3,5}}
{{},{},{},{1},{4},{2,4},{3,6},{3,5,6}}
{{},{},{},{1},{4},{2,4},{5,6},{7}}
{{},{},{},{1},{4},{2,4},{5,6},{3,7}}
{{},{},{},{1},{4},{2,4},{5,6},{5,6}}
{{},{},{},{1},{4},{2,4},{5,6},{1,2,3}}
{{},{},{},{1},{4},{2,4},{5,6},{2,3,4}}
{{},{},{},{1},{4},{2,4},{5,6},{2,3,5}}
{{},{},{},{1},{4},{2,4},{5,6},{3,5,6}}
{{},{},{},{1},{4},{2,4},{1,2,3},{7}}
{{},{},{},{1},{4},{2,4},{1,2,3},{4,7}}
{{},{},{},{1},{4},{2,4},{1,2,3},{5,7}}
{{},{},{},{1},{4},{2,4},{1,2,3},{6,7}}
{{},{},{},{1},{4},{2,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{4},{2,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{4},{2,4},{1,2,3},{2,3,5}}
{{},{},{},{1},{4},{2,4},{1,2,3},{3,5,6}}
{{},{},{},{1},{4},{2,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{4},{2,4},{2,3,4},{7}}
{{},{},{},{1},{4},{2,4},{2,3,4},{5,7}}
{{},{},{},{1},{4},{2,4},{2,3,4},{6,7}}
{{},{},{},{1},{4},{2,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{2,4},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{2,4},{2,3,4},{3,5,6}}
{{},{},{},{1},{4},{2,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{4},{2,4},{2,3,5},{7}}
{{},{},{},{1},{4},{2,4},{2,3,5},{6,7}}
{{},{},{},{1},{4},{2,4},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{2,4},{2,3,5},{3,5,6}}
{{},{},{},{1},{4},{2,4},{3,5,6},{7}}
{{},{},{},{1},{4},{2,4},{3,5,6},{3,5,6}}
{{},{},{},{1},{4},{2,5},{6},{6}}
{{},{},{},{1},{4},{2,5},{6},{7}}
{{},{},{},{1},{4},{2,5},{6},{2,5}}
{{},{},{},{1},{4},{2,5},{6},{3,5}}
{{},{},{},{1},{4},{2,5},{6},{3,6}}
{{},{},{},{1},{4},{2,5},{6},{3,7}}
{{},{},{},{1},{4},{2,5},{6},{1,2,3}}
{{},{},{},{1},{4},{2,5},{6},{2,3,4}}
{{},{},{},{1},{4},{2,5},{6},{2,3,5}}
{{},{},{},{1},{4},{2,5},{2,5},{2,5}}
{{},{},{},{1},{4},{2,5},{2,5},{3,5}}
{{},{},{},{1},{4},{2,5},{2,5},{3,6}}
{{},{},{},{1},{4},{2,5},{2,5},{6,7}}
{{},{},{},{1},{4},{2,5},{2,5},{1,2,3}}
{{},{},{},{1},{4},{2,5},{2,5},{2,3,4}}
{{},{},{},{1},{4},{2,5},{2,5},{2,3,5}}
{{},{},{},{1},{4},{2,5},{2,5},{3,6,7}}
{{},{},{},{1},{4},{2,5},{3,5},{2,7}}
{{},{},{},{1},{4},{2,5},{3,5},{6,7}}
{{},{},{},{1},{4},{2,5},{3,5},{1,2,3}}
{{},{},{},{1},{4},{2,5},{3,5},{2,3,4}}
{{},{},{},{1},{4},{2,5},{3,5},{2,3,5}}
{{},{},{},{1},{4},{2,5},{3,6},{7}}
{{},{},{},{1},{4},{2,5},{3,6},{3,6}}
{{},{},{},{1},{4},{2,5},{3,6},{1,2,3}}
{{},{},{},{1},{4},{2,5},{3,6},{2,3,4}}
{{},{},{},{1},{4},{2,5},{3,6},{2,3,5}}
{{},{},{},{1},{4},{2,5},{1,2,3},{7}}
{{},{},{},{1},{4},{2,5},{1,2,3},{4,7}}
{{},{},{},{1},{4},{2,5},{1,2,3},{5,7}}
{{},{},{},{1},{4},{2,5},{1,2,3},{6,7}}
{{},{},{},{1},{4},{2,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{4},{2,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{4},{2,5},{1,2,3},{2,3,5}}
{{},{},{},{1},{4},{2,5},{2,3,4},{7}}
{{},{},{},{1},{4},{2,5},{2,3,4},{5,7}}
{{},{},{},{1},{4},{2,5},{2,3,4},{6,7}}
{{},{},{},{1},{4},{2,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{2,5},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{2,5},{2,3,5},{7}}
{{},{},{},{1},{4},{2,5},{2,3,5},{6,7}}
{{},{},{},{1},{4},{2,5},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{1,2,3},{6},{6}}
{{},{},{},{1},{4},{1,2,3},{6},{7}}
{{},{},{},{1},{4},{1,2,3},{6},{4,6}}
{{},{},{},{1},{4},{1,2,3},{6},{4,7}}
{{},{},{},{1},{4},{1,2,3},{6},{5,6}}
{{},{},{},{1},{4},{1,2,3},{6},{5,7}}
{{},{},{},{1},{4},{1,2,3},{6},{1,2,3}}
{{},{},{},{1},{4},{1,2,3},{6},{2,3,4}}
{{},{},{},{1},{4},{1,2,3},{6},{2,3,5}}
{{},{},{},{1},{4},{1,2,3},{4,6},{7}}
{{},{},{},{1},{4},{1,2,3},{4,6},{4,6}}
{{},{},{},{1},{4},{1,2,3},{4,6},{5,6}}
{{},{},{},{1},{4},{1,2,3},{4,6},{5,7}}
{{},{},{},{1},{4},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1},{4},{1,2,3},{4,6},{2,3,4}}
{{},{},{},{1},{4},{1,2,3},{4,6},{2,3,5}}
{{},{},{},{1},{4},{1,2,3},{5,6},{7}}
{{},{},{},{1},{4},{1,2,3},{5,6},{5,6}}
{{},{},{},{1},{4},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1},{4},{1,2,3},{5,6},{2,3,4}}
{{},{},{},{1},{4},{1,2,3},{5,6},{2,3,5}}
{{},{},{},{1},{4},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1},{4},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{4},{1,2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{4},{1,2,3},{1,2,3},{2,3,5}}
{{},{},{},{1},{4},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{4},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{4},{1,2,3},{2,3,4},{7}}
{{},{},{},{1},{4},{1,2,3},{2,3,4},{5,7}}
{{},{},{},{1},{4},{1,2,3},{2,3,4},{6,7}}
{{},{},{},{1},{4},{1,2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{1,2,3},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{1,2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{4},{1,2,3},{2,3,5},{7}}
{{},{},{},{1},{4},{1,2,3},{2,3,5},{6,7}}
{{},{},{},{1},{4},{1,2,3},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{2,3,4},{6},{6}}
{{},{},{},{1},{4},{2,3,4},{6},{7}}
{{},{},{},{1},{4},{2,3,4},{6},{5,6}}
{{},{},{},{1},{4},{2,3,4},{6},{5,7}}
{{},{},{},{1},{4},{2,3,4},{6},{2,3,4}}
{{},{},{},{1},{4},{2,3,4},{6},{2,3,5}}
{{},{},{},{1},{4},{2,3,4},{5,6},{7}}
{{},{},{},{1},{4},{2,3,4},{5,6},{5,6}}
{{},{},{},{1},{4},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{1},{4},{2,3,4},{5,6},{2,3,5}}
{{},{},{},{1},{4},{2,3,4},{2,3,4},{6,7}}
{{},{},{},{1},{4},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{4},{2,3,4},{2,3,4},{2,3,5}}
{{},{},{},{1},{4},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{4},{2,3,4},{2,3,5},{7}}
{{},{},{},{1},{4},{2,3,4},{2,3,5},{6,7}}
{{},{},{},{1},{4},{2,3,4},{2,3,5},{2,3,5}}
{{},{},{},{1},{4},{2,3,5},{6},{6}}
{{},{},{},{1},{4},{2,3,5},{6},{7}}
{{},{},{},{1},{4},{2,3,5},{6},{2,3,5}}
{{},{},{},{1},{4},{2,3,5},{2,3,5},{6,7}}
{{},{},{},{1},{4},{2,3,5},{2,3,5},{2,3,5}}
{{},{},{},{1},{1,2},{5},{5},{5}}
{{},{},{},{1},{1,2},{5},{5},{6}}
{{},{},{},{1},{1,2},{5},{5},{1,2}}
{{},{},{},{1},{1,2},{5},{5},{1,3}}
{{},{},{},{1},{1,2},{5},{5},{2,3}}
{{},{},{},{1},{1,2},{5},{5},{2,4}}
{{},{},{},{1},{1,2},{5},{5},{3,4}}
{{},{},{},{1},{1,2},{5},{5},{3,5}}
{{},{},{},{1},{1,2},{5},{5},{3,6}}
{{},{},{},{1},{1,2},{5},{5},{4,5}}
{{},{},{},{1},{1,2},{5},{5},{4,6}}
{{},{},{},{1},{1,2},{5},{5},{6,7}}
{{},{},{},{1},{1,2},{5},{5},{1,2,3}}
{{},{},{},{1},{1,2},{5},{5},{2,3,4}}
{{},{},{},{1},{1,2},{5},{5},{3,4,5}}
{{},{},{},{1},{1,2},{5},{5},{3,4,6}}
{{},{},{},{1},{1,2},{5},{5},{3,6,7}}
{{},{},{},{1},{1,2},{5},{5},{4,6,7}}
{{},{},{},{1},{1,2},{5},{5},{3,4,6,7}}
{{},{},{},{1},{1,2},{5},{6},{6}}
{{},{},{},{1},{1,2},{5},{6},{7}}
{{},{},{},{1},{1,2},{5},{6},{1,2}}
{{},{},{},{1},{1,2},{5},{6},{1,3}}
{{},{},{},{1},{1,2},{5},{6},{2,3}}
{{},{},{},{1},{1,2},{5},{6},{2,4}}
{{},{},{},{1},{1,2},{5},{6},{3,4}}
{{},{},{},{1},{1,2},{5},{6},{3,5}}
{{},{},{},{1},{1,2},{5},{6},{3,6}}
{{},{},{},{1},{1,2},{5},{6},{3,7}}
{{},{},{},{1},{1,2},{5},{6},{4,5}}
{{},{},{},{1},{1,2},{5},{6},{4,6}}
{{},{},{},{1},{1,2},{5},{6},{4,7}}
{{},{},{},{1},{1,2},{5},{6},{1,2,3}}
{{},{},{},{1},{1,2},{5},{6},{2,3,4}}
{{},{},{},{1},{1,2},{5},{6},{3,4,5}}
{{},{},{},{1},{1,2},{5},{6},{3,4,6}}
{{},{},{},{1},{1,2},{5},{6},{3,4,7}}
{{},{},{},{1},{1,2},{5},{1,2},{7}}
{{},{},{},{1},{1,2},{5},{1,2},{1,2}}
{{},{},{},{1},{1,2},{5},{1,2},{1,3}}
{{},{},{},{1},{1,2},{5},{1,2},{2,3}}
{{},{},{},{1},{1,2},{5},{1,2},{2,4}}
{{},{},{},{1},{1,2},{5},{1,2},{3,4}}
{{},{},{},{1},{1,2},{5},{1,2},{3,5}}
{{},{},{},{1},{1,2},{5},{1,2},{3,6}}
{{},{},{},{1},{1,2},{5},{1,2},{3,7}}
{{},{},{},{1},{1,2},{5},{1,2},{4,5}}
{{},{},{},{1},{1,2},{5},{1,2},{4,6}}
{{},{},{},{1},{1,2},{5},{1,2},{4,7}}
{{},{},{},{1},{1,2},{5},{1,2},{5,7}}
{{},{},{},{1},{1,2},{5},{1,2},{6,7}}
{{},{},{},{1},{1,2},{5},{1,2},{1,2,3}}
{{},{},{},{1},{1,2},{5},{1,2},{2,3,4}}
{{},{},{},{1},{1,2},{5},{1,2},{3,4,5}}
{{},{},{},{1},{1,2},{5},{1,2},{3,4,6}}
{{},{},{},{1},{1,2},{5},{1,2},{3,4,7}}
{{},{},{},{1},{1,2},{5},{1,2},{3,5,7}}
{{},{},{},{1},{1,2},{5},{1,2},{3,6,7}}
{{},{},{},{1},{1,2},{5},{1,2},{4,5,7}}
{{},{},{},{1},{1,2},{5},{1,2},{4,6,7}}
{{},{},{},{1},{1,2},{5},{1,2},{3,4,5,7}}
{{},{},{},{1},{1,2},{5},{1,2},{3,4,6,7}}
{{},{},{},{1},{1,2},{5},{1,3},{7}}
{{},{},{},{1},{1,2},{5},{1,3},{1,3}}
{{},{},{},{1},{1,2},{5},{1,3},{2,3}}
{{},{},{},{1},{1,2},{5},{1,3},{2,4}}
{{},{},{},{1},{1,2},{5},{1,3},{2,7}}
{{},{},{},{1},{1,2},{5},{1,3},{3,4}}
{{},{},{},{1},{1,2},{5},{1,3},{3,5}}
{{},{},{},{1},{1,2},{5},{1,3},{3,6}}
{{},{},{},{1},{1,2},{5},{1,3},{4,5}}
{{},{},{},{1},{1,2},{5},{1,3},{4,6}}
{{},{},{},{1},{1,2},{5},{1,3},{4,7}}
{{},{},{},{1},{1,2},{5},{1,3},{5,7}}
{{},{},{},{1},{1,2},{5},{1,3},{6,7}}
{{},{},{},{1},{1,2},{5},{1,3},{1,2,3}}
{{},{},{},{1},{1,2},{5},{1,3},{2,3,4}}
{{},{},{},{1},{1,2},{5},{1,3},{2,4,7}}
{{},{},{},{1},{1,2},{5},{1,3},{3,4,5}}
{{},{},{},{1},{1,2},{5},{1,3},{3,4,6}}
{{},{},{},{1},{1,2},{5},{1,3},{4,5,7}}
{{},{},{},{1},{1,2},{5},{1,3},{4,6,7}}
{{},{},{},{1},{1,2},{5},{2,3},{7}}
{{},{},{},{1},{1,2},{5},{2,3},{1,7}}
{{},{},{},{1},{1,2},{5},{2,3},{2,3}}
{{},{},{},{1},{1,2},{5},{2,3},{2,4}}
{{},{},{},{1},{1,2},{5},{2,3},{3,4}}
{{},{},{},{1},{1,2},{5},{2,3},{3,5}}
{{},{},{},{1},{1,2},{5},{2,3},{3,6}}
{{},{},{},{1},{1,2},{5},{2,3},{4,5}}
{{},{},{},{1},{1,2},{5},{2,3},{4,6}}
{{},{},{},{1},{1,2},{5},{2,3},{4,7}}
{{},{},{},{1},{1,2},{5},{2,3},{5,7}}
{{},{},{},{1},{1,2},{5},{2,3},{6,7}}
{{},{},{},{1},{1,2},{5},{2,3},{1,2,3}}
{{},{},{},{1},{1,2},{5},{2,3},{2,3,4}}
{{},{},{},{1},{1,2},{5},{2,3},{3,4,5}}
{{},{},{},{1},{1,2},{5},{2,3},{3,4,6}}
{{},{},{},{1},{1,2},{5},{2,3},{4,5,7}}
{{},{},{},{1},{1,2},{5},{2,3},{4,6,7}}
{{},{},{},{1},{1,2},{5},{2,4},{7}}
{{},{},{},{1},{1,2},{5},{2,4},{2,4}}
{{},{},{},{1},{1,2},{5},{2,4},{3,4}}
{{},{},{},{1},{1,2},{5},{2,4},{3,5}}
{{},{},{},{1},{1,2},{5},{2,4},{3,6}}
{{},{},{},{1},{1,2},{5},{2,4},{3,7}}
{{},{},{},{1},{1,2},{5},{2,4},{4,5}}
{{},{},{},{1},{1,2},{5},{2,4},{4,6}}
{{},{},{},{1},{1,2},{5},{2,4},{5,7}}
{{},{},{},{1},{1,2},{5},{2,4},{6,7}}
{{},{},{},{1},{1,2},{5},{2,4},{1,2,3}}
{{},{},{},{1},{1,2},{5},{2,4},{2,3,4}}
{{},{},{},{1},{1,2},{5},{2,4},{3,4,5}}
{{},{},{},{1},{1,2},{5},{2,4},{3,4,6}}
{{},{},{},{1},{1,2},{5},{2,4},{3,5,7}}
{{},{},{},{1},{1,2},{5},{2,4},{3,6,7}}
{{},{},{},{1},{1,2},{5},{3,4},{7}}
{{},{},{},{1},{1,2},{5},{3,4},{2,7}}
{{},{},{},{1},{1,2},{5},{3,4},{3,4}}
{{},{},{},{1},{1,2},{5},{3,4},{3,5}}
{{},{},{},{1},{1,2},{5},{3,4},{3,6}}
{{},{},{},{1},{1,2},{5},{3,4},{4,5}}
{{},{},{},{1},{1,2},{5},{3,4},{4,6}}
{{},{},{},{1},{1,2},{5},{3,4},{5,7}}
{{},{},{},{1},{1,2},{5},{3,4},{6,7}}
{{},{},{},{1},{1,2},{5},{3,4},{1,2,3}}
{{},{},{},{1},{1,2},{5},{3,4},{2,3,4}}
{{},{},{},{1},{1,2},{5},{3,4},{3,4,5}}
{{},{},{},{1},{1,2},{5},{3,4},{3,4,6}}
{{},{},{},{1},{1,2},{5},{3,5},{7}}
{{},{},{},{1},{1,2},{5},{3,5},{3,5}}
{{},{},{},{1},{1,2},{5},{3,5},{3,6}}
{{},{},{},{1},{1,2},{5},{3,5},{4,5}}
{{},{},{},{1},{1,2},{5},{3,5},{4,6}}
{{},{},{},{1},{1,2},{5},{3,5},{4,7}}
{{},{},{},{1},{1,2},{5},{3,5},{6,7}}
{{},{},{},{1},{1,2},{5},{3,5},{1,2,3}}
{{},{},{},{1},{1,2},{5},{3,5},{2,3,4}}
{{},{},{},{1},{1,2},{5},{3,5},{3,4,5}}
{{},{},{},{1},{1,2},{5},{3,5},{3,4,6}}
{{},{},{},{1},{1,2},{5},{3,5},{4,6,7}}
{{},{},{},{1},{1,2},{5},{3,6},{7}}
{{},{},{},{1},{1,2},{5},{3,6},{3,6}}
{{},{},{},{1},{1,2},{5},{3,6},{4,5}}
{{},{},{},{1},{1,2},{5},{3,6},{4,6}}
{{},{},{},{1},{1,2},{5},{3,6},{4,7}}
{{},{},{},{1},{1,2},{5},{3,6},{1,2,3}}
{{},{},{},{1},{1,2},{5},{3,6},{2,3,4}}
{{},{},{},{1},{1,2},{5},{3,6},{3,4,5}}
{{},{},{},{1},{1,2},{5},{3,6},{3,4,6}}
{{},{},{},{1},{1,2},{5},{4,5},{7}}
{{},{},{},{1},{1,2},{5},{4,5},{3,7}}
{{},{},{},{1},{1,2},{5},{4,5},{4,5}}
{{},{},{},{1},{1,2},{5},{4,5},{4,6}}
{{},{},{},{1},{1,2},{5},{4,5},{6,7}}
{{},{},{},{1},{1,2},{5},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{5},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{5},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{5},{4,5},{3,4,6}}
{{},{},{},{1},{1,2},{5},{4,5},{3,6,7}}
{{},{},{},{1},{1,2},{5},{4,6},{7}}
{{},{},{},{1},{1,2},{5},{4,6},{3,7}}
{{},{},{},{1},{1,2},{5},{4,6},{4,6}}
{{},{},{},{1},{1,2},{5},{4,6},{1,2,3}}
{{},{},{},{1},{1,2},{5},{4,6},{2,3,4}}
{{},{},{},{1},{1,2},{5},{4,6},{3,4,5}}
{{},{},{},{1},{1,2},{5},{4,6},{3,4,6}}
{{},{},{},{1},{1,2},{5},{1,2,3},{7}}
{{},{},{},{1},{1,2},{5},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{5},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{5},{1,2,3},{6,7}}
{{},{},{},{1},{1,2},{5},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{5},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{5},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{5},{1,2,3},{3,4,6}}
{{},{},{},{1},{1,2},{5},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{5},{1,2,3},{4,6,7}}
{{},{},{},{1},{1,2},{5},{2,3,4},{7}}
{{},{},{},{1},{1,2},{5},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{5},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{5},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{5},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{5},{2,3,4},{3,4,6}}
{{},{},{},{1},{1,2},{5},{3,4,5},{7}}
{{},{},{},{1},{1,2},{5},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{5},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{5},{3,4,5},{3,4,6}}
{{},{},{},{1},{1,2},{5},{3,4,6},{7}}
{{},{},{},{1},{1,2},{5},{3,4,6},{3,4,6}}
{{},{},{},{1},{1,2},{1,2},{1,2},{1,2}}
{{},{},{},{1},{1,2},{1,2},{1,2},{1,3}}
{{},{},{},{1},{1,2},{1,2},{1,2},{2,3}}
{{},{},{},{1},{1,2},{1,2},{1,2},{2,4}}
{{},{},{},{1},{1,2},{1,2},{1,2},{3,4}}
{{},{},{},{1},{1,2},{1,2},{1,2},{3,5}}
{{},{},{},{1},{1,2},{1,2},{1,2},{4,5}}
{{},{},{},{1},{1,2},{1,2},{1,2},{5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{1,2},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{1,2},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{1,2},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2},{5,6,7}}
{{},{},{},{1},{1,2},{1,2},{1,2},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2},{3,5,6,7}}
{{},{},{},{1},{1,2},{1,2},{1,2},{4,5,6,7}}
{{},{},{},{1},{1,2},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{},{1},{1,2},{1,2},{1,3},{1,3}}
{{},{},{},{1},{1,2},{1,2},{1,3},{2,3}}
{{},{},{},{1},{1,2},{1,2},{1,3},{2,4}}
{{},{},{},{1},{1,2},{1,2},{1,3},{2,7}}
{{},{},{},{1},{1,2},{1,2},{1,3},{3,4}}
{{},{},{},{1},{1,2},{1,2},{1,3},{3,5}}
{{},{},{},{1},{1,2},{1,2},{1,3},{4,5}}
{{},{},{},{1},{1,2},{1,2},{1,3},{4,7}}
{{},{},{},{1},{1,2},{1,2},{1,3},{5,6}}
{{},{},{},{1},{1,2},{1,2},{1,3},{5,7}}
{{},{},{},{1},{1,2},{1,2},{1,3},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{1,3},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{1,3},{2,4,7}}
{{},{},{},{1},{1,2},{1,2},{1,3},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{1,3},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,3},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,3},{4,5,7}}
{{},{},{},{1},{1,2},{1,2},{1,3},{5,6,7}}
{{},{},{},{1},{1,2},{1,2},{1,3},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{1,2},{2,3},{7}}
{{},{},{},{1},{1,2},{1,2},{2,3},{1,7}}
{{},{},{},{1},{1,2},{1,2},{2,3},{2,3}}
{{},{},{},{1},{1,2},{1,2},{2,3},{2,4}}
{{},{},{},{1},{1,2},{1,2},{2,3},{3,4}}
{{},{},{},{1},{1,2},{1,2},{2,3},{3,5}}
{{},{},{},{1},{1,2},{1,2},{2,3},{4,5}}
{{},{},{},{1},{1,2},{1,2},{2,3},{4,7}}
{{},{},{},{1},{1,2},{1,2},{2,3},{5,6}}
{{},{},{},{1},{1,2},{1,2},{2,3},{5,7}}
{{},{},{},{1},{1,2},{1,2},{2,3},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{2,3},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{2,3},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{2,3},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,3},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,3},{4,5,7}}
{{},{},{},{1},{1,2},{1,2},{2,3},{5,6,7}}
{{},{},{},{1},{1,2},{1,2},{2,3},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{1,2},{2,4},{7}}
{{},{},{},{1},{1,2},{1,2},{2,4},{2,4}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,4}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,5}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,7}}
{{},{},{},{1},{1,2},{1,2},{2,4},{4,5}}
{{},{},{},{1},{1,2},{1,2},{2,4},{5,6}}
{{},{},{},{1},{1,2},{1,2},{2,4},{5,7}}
{{},{},{},{1},{1,2},{1,2},{2,4},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{2,4},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,5,7}}
{{},{},{},{1},{1,2},{1,2},{2,4},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,4},{5,6,7}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,4},{3,5,6,7}}
{{},{},{},{1},{1,2},{1,2},{3,4},{7}}
{{},{},{},{1},{1,2},{1,2},{3,4},{2,7}}
{{},{},{},{1},{1,2},{1,2},{3,4},{3,4}}
{{},{},{},{1},{1,2},{1,2},{3,4},{3,5}}
{{},{},{},{1},{1,2},{1,2},{3,4},{4,5}}
{{},{},{},{1},{1,2},{1,2},{3,4},{5,6}}
{{},{},{},{1},{1,2},{1,2},{3,4},{5,7}}
{{},{},{},{1},{1,2},{1,2},{3,4},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{3,4},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{3,4},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{3,4},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,4},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,4},{5,6,7}}
{{},{},{},{1},{1,2},{1,2},{3,4},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,5},{7}}
{{},{},{},{1},{1,2},{1,2},{3,5},{3,5}}
{{},{},{},{1},{1,2},{1,2},{3,5},{3,6}}
{{},{},{},{1},{1,2},{1,2},{3,5},{4,5}}
{{},{},{},{1},{1,2},{1,2},{3,5},{4,6}}
{{},{},{},{1},{1,2},{1,2},{3,5},{4,7}}
{{},{},{},{1},{1,2},{1,2},{3,5},{5,6}}
{{},{},{},{1},{1,2},{1,2},{3,5},{6,7}}
{{},{},{},{1},{1,2},{1,2},{3,5},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{3,5},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{3,5},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{3,5},{3,4,6}}
{{},{},{},{1},{1,2},{1,2},{3,5},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,5},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,5},{4,6,7}}
{{},{},{},{1},{1,2},{1,2},{3,5},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{4,5},{7}}
{{},{},{},{1},{1,2},{1,2},{4,5},{3,7}}
{{},{},{},{1},{1,2},{1,2},{4,5},{4,5}}
{{},{},{},{1},{1,2},{1,2},{4,5},{4,6}}
{{},{},{},{1},{1,2},{1,2},{4,5},{5,6}}
{{},{},{},{1},{1,2},{1,2},{4,5},{6,7}}
{{},{},{},{1},{1,2},{1,2},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{4,5},{3,4,6}}
{{},{},{},{1},{1,2},{1,2},{4,5},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{4,5},{3,6,7}}
{{},{},{},{1},{1,2},{1,2},{4,5},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{4,5},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{5,6},{7}}
{{},{},{},{1},{1,2},{1,2},{5,6},{3,7}}
{{},{},{},{1},{1,2},{1,2},{5,6},{4,7}}
{{},{},{},{1},{1,2},{1,2},{5,6},{5,6}}
{{},{},{},{1},{1,2},{1,2},{5,6},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{5,6},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{5,6},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{5,6},{3,4,7}}
{{},{},{},{1},{1,2},{1,2},{5,6},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{5,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{5,6},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{7}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{5,6,7}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{7}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2},{1,2},{2,3,4},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,4,5},{7}}
{{},{},{},{1},{1,2},{1,2},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{1,2},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{1,2},{3,4,5},{3,4,6}}
{{},{},{},{1},{1,2},{1,2},{3,4,5},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,4,5},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,5,6},{7}}
{{},{},{},{1},{1,2},{1,2},{3,5,6},{4,7}}
{{},{},{},{1},{1,2},{1,2},{3,5,6},{3,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,5,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,5,6},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{4,5,6},{7}}
{{},{},{},{1},{1,2},{1,2},{4,5,6},{3,7}}
{{},{},{},{1},{1,2},{1,2},{4,5,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,2},{4,5,6},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,2},{3,4,5,6},{7}}
{{},{},{},{1},{1,2},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{1},{1,2},{1,3},{2,3},{7}}
{{},{},{},{1},{1,2},{1,3},{2,3},{1,7}}
{{},{},{},{1},{1,2},{1,3},{2,3},{2,3}}
{{},{},{},{1},{1,2},{1,3},{2,3},{2,4}}
{{},{},{},{1},{1,2},{1,3},{2,3},{2,6}}
{{},{},{},{1},{1,2},{1,3},{2,3},{4,5}}
{{},{},{},{1},{1,2},{1,3},{2,3},{4,7}}
{{},{},{},{1},{1,2},{1,3},{2,3},{5,6}}
{{},{},{},{1},{1,2},{1,3},{2,3},{5,7}}
{{},{},{},{1},{1,2},{1,3},{2,3},{1,2,3}}
{{},{},{},{1},{1,2},{1,3},{2,3},{2,3,4}}
{{},{},{},{1},{1,2},{1,3},{2,3},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{2,3},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{2,3},{4,5,7}}
{{},{},{},{1},{1,2},{1,3},{2,3},{5,6,7}}
{{},{},{},{1},{1,2},{1,3},{2,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{1,3},{2,4},{7}}
{{},{},{},{1},{1,2},{1,3},{2,4},{2,4}}
{{},{},{},{1},{1,2},{1,3},{2,4},{2,6}}
{{},{},{},{1},{1,2},{1,3},{2,4},{3,4}}
{{},{},{},{1},{1,2},{1,3},{2,4},{3,5}}
{{},{},{},{1},{1,2},{1,3},{2,4},{3,7}}
{{},{},{},{1},{1,2},{1,3},{2,4},{4,5}}
{{},{},{},{1},{1,2},{1,3},{2,4},{4,6}}
{{},{},{},{1},{1,2},{1,3},{2,4},{5,6}}
{{},{},{},{1},{1,2},{1,3},{2,4},{5,7}}
{{},{},{},{1},{1,2},{1,3},{2,4},{6,7}}
{{},{},{},{1},{1,2},{1,3},{2,4},{1,2,3}}
{{},{},{},{1},{1,2},{1,3},{2,4},{2,3,4}}
{{},{},{},{1},{1,2},{1,3},{2,4},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{2,4},{3,4,5}}
{{},{},{},{1},{1,2},{1,3},{2,4},{3,5,7}}
{{},{},{},{1},{1,2},{1,3},{2,4},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{2,4},{5,6,7}}
{{},{},{},{1},{1,2},{1,3},{2,6},{7}}
{{},{},{},{1},{1,2},{1,3},{2,6},{2,6}}
{{},{},{},{1},{1,2},{1,3},{2,6},{3,5}}
{{},{},{},{1},{1,2},{1,3},{2,6},{4,5}}
{{},{},{},{1},{1,2},{1,3},{2,6},{4,6}}
{{},{},{},{1},{1,2},{1,3},{2,6},{4,7}}
{{},{},{},{1},{1,2},{1,3},{2,6},{5,6}}
{{},{},{},{1},{1,2},{1,3},{2,6},{5,7}}
{{},{},{},{1},{1,2},{1,3},{2,6},{1,2,3}}
{{},{},{},{1},{1,2},{1,3},{2,6},{2,3,4}}
{{},{},{},{1},{1,2},{1,3},{2,6},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{2,6},{3,4,5}}
{{},{},{},{1},{1,2},{1,3},{2,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{2,6},{4,5,7}}
{{},{},{},{1},{1,2},{1,3},{4,5},{7}}
{{},{},{},{1},{1,2},{1,3},{4,5},{3,7}}
{{},{},{},{1},{1,2},{1,3},{4,5},{4,5}}
{{},{},{},{1},{1,2},{1,3},{4,5},{4,6}}
{{},{},{},{1},{1,2},{1,3},{4,5},{5,6}}
{{},{},{},{1},{1,2},{1,3},{4,5},{6,7}}
{{},{},{},{1},{1,2},{1,3},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{1,3},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{1,3},{4,5},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{1,3},{4,5},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{5,6},{7}}
{{},{},{},{1},{1,2},{1,3},{5,6},{4,7}}
{{},{},{},{1},{1,2},{1,3},{5,6},{5,6}}
{{},{},{},{1},{1,2},{1,3},{5,6},{1,2,3}}
{{},{},{},{1},{1,2},{1,3},{5,6},{2,3,4}}
{{},{},{},{1},{1,2},{1,3},{5,6},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{5,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{7}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{1,2},{1,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{1,3},{2,3,4},{7}}
{{},{},{},{1},{1,2},{1,3},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{1,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{1,3},{2,3,4},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2},{1,3},{2,4,6},{7}}
{{},{},{},{1},{1,2},{1,3},{2,4,6},{5,7}}
{{},{},{},{1},{1,2},{1,3},{2,4,6},{2,4,6}}
{{},{},{},{1},{1,2},{1,3},{2,4,6},{3,4,5}}
{{},{},{},{1},{1,2},{1,3},{2,4,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,3},{4,5,6},{7}}
{{},{},{},{1},{1,2},{1,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{6},{6}}
{{},{},{},{1},{1,2},{2,3},{6},{7}}
{{},{},{},{1},{1,2},{2,3},{6},{1,6}}
{{},{},{},{1},{1,2},{2,3},{6},{1,7}}
{{},{},{},{1},{1,2},{2,3},{6},{2,3}}
{{},{},{},{1},{1,2},{2,3},{6},{2,4}}
{{},{},{},{1},{1,2},{2,3},{6},{3,4}}
{{},{},{},{1},{1,2},{2,3},{6},{3,5}}
{{},{},{},{1},{1,2},{2,3},{6},{4,5}}
{{},{},{},{1},{1,2},{2,3},{6},{4,6}}
{{},{},{},{1},{1,2},{2,3},{6},{4,7}}
{{},{},{},{1},{1,2},{2,3},{6},{5,6}}
{{},{},{},{1},{1,2},{2,3},{6},{5,7}}
{{},{},{},{1},{1,2},{2,3},{6},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{6},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{6},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{6},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{6},{4,5,7}}
{{},{},{},{1},{1,2},{2,3},{1,6},{7}}
{{},{},{},{1},{1,2},{2,3},{1,6},{1,6}}
{{},{},{},{1},{1,2},{2,3},{1,6},{2,3}}
{{},{},{},{1},{1,2},{2,3},{1,6},{2,4}}
{{},{},{},{1},{1,2},{2,3},{1,6},{3,4}}
{{},{},{},{1},{1,2},{2,3},{1,6},{3,5}}
{{},{},{},{1},{1,2},{2,3},{1,6},{4,5}}
{{},{},{},{1},{1,2},{2,3},{1,6},{4,6}}
{{},{},{},{1},{1,2},{2,3},{1,6},{4,7}}
{{},{},{},{1},{1,2},{2,3},{1,6},{5,6}}
{{},{},{},{1},{1,2},{2,3},{1,6},{5,7}}
{{},{},{},{1},{1,2},{2,3},{1,6},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{1,6},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{1,6},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{1,6},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{1,6},{4,5,7}}
{{},{},{},{1},{1,2},{2,3},{2,3},{2,3}}
{{},{},{},{1},{1,2},{2,3},{2,3},{2,4}}
{{},{},{},{1},{1,2},{2,3},{2,3},{3,4}}
{{},{},{},{1},{1,2},{2,3},{2,3},{3,5}}
{{},{},{},{1},{1,2},{2,3},{2,3},{4,5}}
{{},{},{},{1},{1,2},{2,3},{2,3},{4,6}}
{{},{},{},{1},{1,2},{2,3},{2,3},{5,6}}
{{},{},{},{1},{1,2},{2,3},{2,3},{6,7}}
{{},{},{},{1},{1,2},{2,3},{2,3},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{2,3},{1,6,7}}
{{},{},{},{1},{1,2},{2,3},{2,3},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{2,3},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{2,3},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{2,3},{4,6,7}}
{{},{},{},{1},{1,2},{2,3},{2,3},{5,6,7}}
{{},{},{},{1},{1,2},{2,3},{2,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{2,3},{2,4},{7}}
{{},{},{},{1},{1,2},{2,3},{2,4},{2,4}}
{{},{},{},{1},{1,2},{2,3},{2,4},{3,4}}
{{},{},{},{1},{1,2},{2,3},{2,4},{3,5}}
{{},{},{},{1},{1,2},{2,3},{2,4},{3,7}}
{{},{},{},{1},{1,2},{2,3},{2,4},{4,5}}
{{},{},{},{1},{1,2},{2,3},{2,4},{4,6}}
{{},{},{},{1},{1,2},{2,3},{2,4},{5,6}}
{{},{},{},{1},{1,2},{2,3},{2,4},{5,7}}
{{},{},{},{1},{1,2},{2,3},{2,4},{6,7}}
{{},{},{},{1},{1,2},{2,3},{2,4},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{2,4},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{2,4},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{2,4},{3,5,7}}
{{},{},{},{1},{1,2},{2,3},{2,4},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{2,4},{5,6,7}}
{{},{},{},{1},{1,2},{2,3},{3,4},{7}}
{{},{},{},{1},{1,2},{2,3},{3,4},{2,7}}
{{},{},{},{1},{1,2},{2,3},{3,4},{3,4}}
{{},{},{},{1},{1,2},{2,3},{3,4},{3,5}}
{{},{},{},{1},{1,2},{2,3},{3,4},{4,5}}
{{},{},{},{1},{1,2},{2,3},{3,4},{4,6}}
{{},{},{},{1},{1,2},{2,3},{3,4},{5,6}}
{{},{},{},{1},{1,2},{2,3},{3,4},{5,7}}
{{},{},{},{1},{1,2},{2,3},{3,4},{6,7}}
{{},{},{},{1},{1,2},{2,3},{3,4},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{3,4},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{3,4},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{3,4},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{3,4},{5,6,7}}
{{},{},{},{1},{1,2},{2,3},{3,5},{7}}
{{},{},{},{1},{1,2},{2,3},{3,5},{3,5}}
{{},{},{},{1},{1,2},{2,3},{3,5},{4,5}}
{{},{},{},{1},{1,2},{2,3},{3,5},{4,6}}
{{},{},{},{1},{1,2},{2,3},{3,5},{4,7}}
{{},{},{},{1},{1,2},{2,3},{3,5},{5,6}}
{{},{},{},{1},{1,2},{2,3},{3,5},{6,7}}
{{},{},{},{1},{1,2},{2,3},{3,5},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{3,5},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{3,5},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{3,5},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{3,5},{4,6,7}}
{{},{},{},{1},{1,2},{2,3},{4,5},{7}}
{{},{},{},{1},{1,2},{2,3},{4,5},{3,7}}
{{},{},{},{1},{1,2},{2,3},{4,5},{4,5}}
{{},{},{},{1},{1,2},{2,3},{4,5},{4,6}}
{{},{},{},{1},{1,2},{2,3},{4,5},{5,6}}
{{},{},{},{1},{1,2},{2,3},{4,5},{6,7}}
{{},{},{},{1},{1,2},{2,3},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{4,5},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{4,6},{7}}
{{},{},{},{1},{1,2},{2,3},{4,6},{4,6}}
{{},{},{},{1},{1,2},{2,3},{4,6},{5,6}}
{{},{},{},{1},{1,2},{2,3},{4,6},{5,7}}
{{},{},{},{1},{1,2},{2,3},{4,6},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{4,6},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{4,6},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{4,6},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{5,6},{7}}
{{},{},{},{1},{1,2},{2,3},{5,6},{4,7}}
{{},{},{},{1},{1,2},{2,3},{5,6},{5,6}}
{{},{},{},{1},{1,2},{2,3},{5,6},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{5,6},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{5,6},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{5,6},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{7}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{6,7}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{1,2},{2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{2,3},{2,3,4},{7}}
{{},{},{},{1},{1,2},{2,3},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{2,3},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{2,3},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2},{2,3},{3,4,5},{7}}
{{},{},{},{1},{1,2},{2,3},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{2,3},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{2,3},{3,4,5},{4,5,6}}
{{},{},{},{1},{1,2},{2,3},{4,5,6},{7}}
{{},{},{},{1},{1,2},{2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{1,2},{2,4},{6},{6}}
{{},{},{},{1},{1,2},{2,4},{6},{7}}
{{},{},{},{1},{1,2},{2,4},{6},{2,4}}
{{},{},{},{1},{1,2},{2,4},{6},{3,4}}
{{},{},{},{1},{1,2},{2,4},{6},{3,5}}
{{},{},{},{1},{1,2},{2,4},{6},{3,6}}
{{},{},{},{1},{1,2},{2,4},{6},{3,7}}
{{},{},{},{1},{1,2},{2,4},{6},{4,5}}
{{},{},{},{1},{1,2},{2,4},{6},{5,6}}
{{},{},{},{1},{1,2},{2,4},{6},{5,7}}
{{},{},{},{1},{1,2},{2,4},{6},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{6},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{6},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{6},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{6},{3,5,7}}
{{},{},{},{1},{1,2},{2,4},{2,4},{2,4}}
{{},{},{},{1},{1,2},{2,4},{2,4},{3,4}}
{{},{},{},{1},{1,2},{2,4},{2,4},{3,5}}
{{},{},{},{1},{1,2},{2,4},{2,4},{3,6}}
{{},{},{},{1},{1,2},{2,4},{2,4},{4,5}}
{{},{},{},{1},{1,2},{2,4},{2,4},{5,6}}
{{},{},{},{1},{1,2},{2,4},{2,4},{6,7}}
{{},{},{},{1},{1,2},{2,4},{2,4},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{2,4},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{2,4},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{2,4},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{2,4},{3,6,7}}
{{},{},{},{1},{1,2},{2,4},{2,4},{5,6,7}}
{{},{},{},{1},{1,2},{2,4},{2,4},{3,5,6,7}}
{{},{},{},{1},{1,2},{2,4},{3,4},{7}}
{{},{},{},{1},{1,2},{2,4},{3,4},{2,7}}
{{},{},{},{1},{1,2},{2,4},{3,4},{3,4}}
{{},{},{},{1},{1,2},{2,4},{3,4},{3,5}}
{{},{},{},{1},{1,2},{2,4},{3,4},{3,6}}
{{},{},{},{1},{1,2},{2,4},{3,4},{4,5}}
{{},{},{},{1},{1,2},{2,4},{3,4},{5,6}}
{{},{},{},{1},{1,2},{2,4},{3,4},{5,7}}
{{},{},{},{1},{1,2},{2,4},{3,4},{6,7}}
{{},{},{},{1},{1,2},{2,4},{3,4},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{3,4},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{3,4},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{3,4},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{3,4},{5,6,7}}
{{},{},{},{1},{1,2},{2,4},{3,5},{7}}
{{},{},{},{1},{1,2},{2,4},{3,5},{3,5}}
{{},{},{},{1},{1,2},{2,4},{3,5},{3,6}}
{{},{},{},{1},{1,2},{2,4},{3,5},{4,5}}
{{},{},{},{1},{1,2},{2,4},{3,5},{4,7}}
{{},{},{},{1},{1,2},{2,4},{3,5},{5,6}}
{{},{},{},{1},{1,2},{2,4},{3,5},{6,7}}
{{},{},{},{1},{1,2},{2,4},{3,5},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{3,5},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{3,5},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{3,5},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{3,6},{7}}
{{},{},{},{1},{1,2},{2,4},{3,6},{3,6}}
{{},{},{},{1},{1,2},{2,4},{3,6},{4,5}}
{{},{},{},{1},{1,2},{2,4},{3,6},{5,6}}
{{},{},{},{1},{1,2},{2,4},{3,6},{5,7}}
{{},{},{},{1},{1,2},{2,4},{3,6},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{3,6},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{3,6},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{3,6},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{4,5},{7}}
{{},{},{},{1},{1,2},{2,4},{4,5},{3,7}}
{{},{},{},{1},{1,2},{2,4},{4,5},{4,5}}
{{},{},{},{1},{1,2},{2,4},{4,5},{5,6}}
{{},{},{},{1},{1,2},{2,4},{4,5},{6,7}}
{{},{},{},{1},{1,2},{2,4},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{4,5},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{4,5},{3,6,7}}
{{},{},{},{1},{1,2},{2,4},{5,6},{7}}
{{},{},{},{1},{1,2},{2,4},{5,6},{3,7}}
{{},{},{},{1},{1,2},{2,4},{5,6},{5,6}}
{{},{},{},{1},{1,2},{2,4},{5,6},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{5,6},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{5,6},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{5,6},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{7}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{6,7}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{2,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{1,2},{2,4},{2,3,4},{7}}
{{},{},{},{1},{1,2},{2,4},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{2,4},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{2,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{2,4},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{2,3,4},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2},{2,4},{3,4,5},{7}}
{{},{},{},{1},{1,2},{2,4},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{2,4},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{2,4},{3,4,5},{3,5,6}}
{{},{},{},{1},{1,2},{2,4},{3,5,6},{7}}
{{},{},{},{1},{1,2},{2,4},{3,5,6},{3,5,6}}
{{},{},{},{1},{1,2},{3,4},{6},{6}}
{{},{},{},{1},{1,2},{3,4},{6},{7}}
{{},{},{},{1},{1,2},{3,4},{6},{2,6}}
{{},{},{},{1},{1,2},{3,4},{6},{2,7}}
{{},{},{},{1},{1,2},{3,4},{6},{3,4}}
{{},{},{},{1},{1,2},{3,4},{6},{3,5}}
{{},{},{},{1},{1,2},{3,4},{6},{4,5}}
{{},{},{},{1},{1,2},{3,4},{6},{5,6}}
{{},{},{},{1},{1,2},{3,4},{6},{5,7}}
{{},{},{},{1},{1,2},{3,4},{6},{1,2,3}}
{{},{},{},{1},{1,2},{3,4},{6},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{6},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{2,6},{7}}
{{},{},{},{1},{1,2},{3,4},{2,6},{2,6}}
{{},{},{},{1},{1,2},{3,4},{2,6},{3,4}}
{{},{},{},{1},{1,2},{3,4},{2,6},{3,5}}
{{},{},{},{1},{1,2},{3,4},{2,6},{4,5}}
{{},{},{},{1},{1,2},{3,4},{2,6},{5,6}}
{{},{},{},{1},{1,2},{3,4},{2,6},{5,7}}
{{},{},{},{1},{1,2},{3,4},{2,6},{1,2,3}}
{{},{},{},{1},{1,2},{3,4},{2,6},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{2,6},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{3,4},{3,4}}
{{},{},{},{1},{1,2},{3,4},{3,4},{3,5}}
{{},{},{},{1},{1,2},{3,4},{3,4},{4,5}}
{{},{},{},{1},{1,2},{3,4},{3,4},{5,6}}
{{},{},{},{1},{1,2},{3,4},{3,4},{6,7}}
{{},{},{},{1},{1,2},{3,4},{3,4},{1,2,3}}
{{},{},{},{1},{1,2},{3,4},{3,4},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{3,4},{2,6,7}}
{{},{},{},{1},{1,2},{3,4},{3,4},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{3,4},{5,6,7}}
{{},{},{},{1},{1,2},{3,4},{3,5},{7}}
{{},{},{},{1},{1,2},{3,4},{3,5},{3,5}}
{{},{},{},{1},{1,2},{3,4},{3,5},{4,5}}
{{},{},{},{1},{1,2},{3,4},{3,5},{4,7}}
{{},{},{},{1},{1,2},{3,4},{3,5},{5,6}}
{{},{},{},{1},{1,2},{3,4},{3,5},{6,7}}
{{},{},{},{1},{1,2},{3,4},{3,5},{1,2,3}}
{{},{},{},{1},{1,2},{3,4},{3,5},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{3,5},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{4,5},{7}}
{{},{},{},{1},{1,2},{3,4},{4,5},{3,7}}
{{},{},{},{1},{1,2},{3,4},{4,5},{4,5}}
{{},{},{},{1},{1,2},{3,4},{4,5},{5,6}}
{{},{},{},{1},{1,2},{3,4},{4,5},{6,7}}
{{},{},{},{1},{1,2},{3,4},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{3,4},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{5,6},{7}}
{{},{},{},{1},{1,2},{3,4},{5,6},{5,6}}
{{},{},{},{1},{1,2},{3,4},{5,6},{1,2,3}}
{{},{},{},{1},{1,2},{3,4},{5,6},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{5,6},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{7}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{6,7}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{3,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{1,2},{3,4},{2,3,4},{7}}
{{},{},{},{1},{1,2},{3,4},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{3,4},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{3,4},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2},{3,4},{3,4,5},{7}}
{{},{},{},{1},{1,2},{3,4},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{3,4},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{3,5},{6},{6}}
{{},{},{},{1},{1,2},{3,5},{6},{7}}
{{},{},{},{1},{1,2},{3,5},{6},{3,5}}
{{},{},{},{1},{1,2},{3,5},{6},{4,5}}
{{},{},{},{1},{1,2},{3,5},{6},{4,6}}
{{},{},{},{1},{1,2},{3,5},{6},{4,7}}
{{},{},{},{1},{1,2},{3,5},{6},{1,2,3}}
{{},{},{},{1},{1,2},{3,5},{6},{2,3,4}}
{{},{},{},{1},{1,2},{3,5},{6},{3,4,5}}
{{},{},{},{1},{1,2},{3,5},{3,5},{3,5}}
{{},{},{},{1},{1,2},{3,5},{3,5},{4,5}}
{{},{},{},{1},{1,2},{3,5},{3,5},{4,6}}
{{},{},{},{1},{1,2},{3,5},{3,5},{6,7}}
{{},{},{},{1},{1,2},{3,5},{3,5},{1,2,3}}
{{},{},{},{1},{1,2},{3,5},{3,5},{2,3,4}}
{{},{},{},{1},{1,2},{3,5},{3,5},{3,4,5}}
{{},{},{},{1},{1,2},{3,5},{3,5},{4,6,7}}
{{},{},{},{1},{1,2},{3,5},{4,5},{7}}
{{},{},{},{1},{1,2},{3,5},{4,5},{3,7}}
{{},{},{},{1},{1,2},{3,5},{4,5},{4,5}}
{{},{},{},{1},{1,2},{3,5},{4,5},{4,6}}
{{},{},{},{1},{1,2},{3,5},{4,5},{6,7}}
{{},{},{},{1},{1,2},{3,5},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{3,5},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{3,5},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{3,5},{4,6},{7}}
{{},{},{},{1},{1,2},{3,5},{4,6},{4,6}}
{{},{},{},{1},{1,2},{3,5},{4,6},{1,2,3}}
{{},{},{},{1},{1,2},{3,5},{4,6},{2,3,4}}
{{},{},{},{1},{1,2},{3,5},{4,6},{3,4,5}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{7}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{6,7}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{3,5},{1,2,3},{4,6,7}}
{{},{},{},{1},{1,2},{3,5},{2,3,4},{7}}
{{},{},{},{1},{1,2},{3,5},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{3,5},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{3,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{3,5},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{3,5},{3,4,5},{7}}
{{},{},{},{1},{1,2},{3,5},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{3,5},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{4,5},{6},{6}}
{{},{},{},{1},{1,2},{4,5},{6},{7}}
{{},{},{},{1},{1,2},{4,5},{6},{3,6}}
{{},{},{},{1},{1,2},{4,5},{6},{3,7}}
{{},{},{},{1},{1,2},{4,5},{6},{4,5}}
{{},{},{},{1},{1,2},{4,5},{6},{1,2,3}}
{{},{},{},{1},{1,2},{4,5},{6},{2,3,4}}
{{},{},{},{1},{1,2},{4,5},{6},{3,4,5}}
{{},{},{},{1},{1,2},{4,5},{3,6},{7}}
{{},{},{},{1},{1,2},{4,5},{3,6},{3,6}}
{{},{},{},{1},{1,2},{4,5},{3,6},{4,5}}
{{},{},{},{1},{1,2},{4,5},{3,6},{1,2,3}}
{{},{},{},{1},{1,2},{4,5},{3,6},{2,3,4}}
{{},{},{},{1},{1,2},{4,5},{3,6},{3,4,5}}
{{},{},{},{1},{1,2},{4,5},{4,5},{4,5}}
{{},{},{},{1},{1,2},{4,5},{4,5},{6,7}}
{{},{},{},{1},{1,2},{4,5},{4,5},{1,2,3}}
{{},{},{},{1},{1,2},{4,5},{4,5},{2,3,4}}
{{},{},{},{1},{1,2},{4,5},{4,5},{3,4,5}}
{{},{},{},{1},{1,2},{4,5},{4,5},{3,6,7}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{7}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{4,7}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{5,7}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{6,7}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2},{4,5},{2,3,4},{7}}
{{},{},{},{1},{1,2},{4,5},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{4,5},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{4,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{4,5},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{4,5},{3,4,5},{7}}
{{},{},{},{1},{1,2},{4,5},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{4,5},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{1,2,3},{6},{6}}
{{},{},{},{1},{1,2},{1,2,3},{6},{7}}
{{},{},{},{1},{1,2},{1,2,3},{6},{4,6}}
{{},{},{},{1},{1,2},{1,2,3},{6},{4,7}}
{{},{},{},{1},{1,2},{1,2,3},{6},{5,6}}
{{},{},{},{1},{1,2},{1,2,3},{6},{5,7}}
{{},{},{},{1},{1,2},{1,2,3},{6},{1,2,3}}
{{},{},{},{1},{1,2},{1,2,3},{6},{2,3,4}}
{{},{},{},{1},{1,2},{1,2,3},{6},{3,4,5}}
{{},{},{},{1},{1,2},{1,2,3},{6},{4,5,6}}
{{},{},{},{1},{1,2},{1,2,3},{6},{4,5,7}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{7}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{4,6}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{5,6}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{5,7}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{2,3,4}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{3,4,5}}
{{},{},{},{1},{1,2},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,2,3},{5,6},{7}}
{{},{},{},{1},{1,2},{1,2,3},{5,6},{4,7}}
{{},{},{},{1},{1,2},{1,2,3},{5,6},{5,6}}
{{},{},{},{1},{1,2},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1},{1,2},{1,2,3},{5,6},{2,3,4}}
{{},{},{},{1},{1,2},{1,2,3},{5,6},{3,4,5}}
{{},{},{},{1},{1,2},{1,2,3},{5,6},{4,5,6}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{3,4,5}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{1,2},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1,2},{1,2,3},{2,3,4},{7}}
{{},{},{},{1},{1,2},{1,2,3},{2,3,4},{5,7}}
{{},{},{},{1},{1,2},{1,2,3},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{1,2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{1,2,3},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{1,2,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{1,2},{1,2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2},{1,2,3},{3,4,5},{7}}
{{},{},{},{1},{1,2},{1,2,3},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{1,2,3},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{1,2,3},{3,4,5},{4,5,6}}
{{},{},{},{1},{1,2},{1,2,3},{4,5,6},{7}}
{{},{},{},{1},{1,2},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{1,2},{2,3,4},{6},{6}}
{{},{},{},{1},{1,2},{2,3,4},{6},{7}}
{{},{},{},{1},{1,2},{2,3,4},{6},{5,6}}
{{},{},{},{1},{1,2},{2,3,4},{6},{5,7}}
{{},{},{},{1},{1,2},{2,3,4},{6},{2,3,4}}
{{},{},{},{1},{1,2},{2,3,4},{6},{3,4,5}}
{{},{},{},{1},{1,2},{2,3,4},{5,6},{7}}
{{},{},{},{1},{1,2},{2,3,4},{5,6},{5,6}}
{{},{},{},{1},{1,2},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{1},{1,2},{2,3,4},{5,6},{3,4,5}}
{{},{},{},{1},{1,2},{2,3,4},{2,3,4},{6,7}}
{{},{},{},{1},{1,2},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2},{2,3,4},{2,3,4},{3,4,5}}
{{},{},{},{1},{1,2},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2},{2,3,4},{3,4,5},{7}}
{{},{},{},{1},{1,2},{2,3,4},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{2,3,4},{3,4,5},{3,4,5}}
{{},{},{},{1},{1,2},{3,4,5},{6},{6}}
{{},{},{},{1},{1,2},{3,4,5},{6},{7}}
{{},{},{},{1},{1,2},{3,4,5},{6},{3,4,5}}
{{},{},{},{1},{1,2},{3,4,5},{3,4,5},{6,7}}
{{},{},{},{1},{1,2},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{},{1},{2,3},{5},{5},{5}}
{{},{},{},{1},{2,3},{5},{5},{6}}
{{},{},{},{1},{2,3},{5},{5},{1,5}}
{{},{},{},{1},{2,3},{5},{5},{1,6}}
{{},{},{},{1},{2,3},{5},{5},{2,3}}
{{},{},{},{1},{2,3},{5},{5},{2,4}}
{{},{},{},{1},{2,3},{5},{5},{4,5}}
{{},{},{},{1},{2,3},{5},{5},{4,6}}
{{},{},{},{1},{2,3},{5},{5},{6,7}}
{{},{},{},{1},{2,3},{5},{5},{1,2,3}}
{{},{},{},{1},{2,3},{5},{5},{1,6,7}}
{{},{},{},{1},{2,3},{5},{5},{2,3,4}}
{{},{},{},{1},{2,3},{5},{5},{4,6,7}}
{{},{},{},{1},{2,3},{5},{6},{6}}
{{},{},{},{1},{2,3},{5},{6},{7}}
{{},{},{},{1},{2,3},{5},{6},{1,5}}
{{},{},{},{1},{2,3},{5},{6},{1,6}}
{{},{},{},{1},{2,3},{5},{6},{1,7}}
{{},{},{},{1},{2,3},{5},{6},{2,3}}
{{},{},{},{1},{2,3},{5},{6},{2,4}}
{{},{},{},{1},{2,3},{5},{6},{4,5}}
{{},{},{},{1},{2,3},{5},{6},{4,6}}
{{},{},{},{1},{2,3},{5},{6},{4,7}}
{{},{},{},{1},{2,3},{5},{6},{1,2,3}}
{{},{},{},{1},{2,3},{5},{6},{2,3,4}}
{{},{},{},{1},{2,3},{5},{1,5},{7}}
{{},{},{},{1},{2,3},{5},{1,5},{1,5}}
{{},{},{},{1},{2,3},{5},{1,5},{1,6}}
{{},{},{},{1},{2,3},{5},{1,5},{2,3}}
{{},{},{},{1},{2,3},{5},{1,5},{2,4}}
{{},{},{},{1},{2,3},{5},{1,5},{4,5}}
{{},{},{},{1},{2,3},{5},{1,5},{4,6}}
{{},{},{},{1},{2,3},{5},{1,5},{4,7}}
{{},{},{},{1},{2,3},{5},{1,5},{6,7}}
{{},{},{},{1},{2,3},{5},{1,5},{1,2,3}}
{{},{},{},{1},{2,3},{5},{1,5},{2,3,4}}
{{},{},{},{1},{2,3},{5},{1,5},{4,6,7}}
{{},{},{},{1},{2,3},{5},{1,6},{7}}
{{},{},{},{1},{2,3},{5},{1,6},{1,6}}
{{},{},{},{1},{2,3},{5},{1,6},{2,3}}
{{},{},{},{1},{2,3},{5},{1,6},{2,4}}
{{},{},{},{1},{2,3},{5},{1,6},{4,5}}
{{},{},{},{1},{2,3},{5},{1,6},{4,6}}
{{},{},{},{1},{2,3},{5},{1,6},{4,7}}
{{},{},{},{1},{2,3},{5},{1,6},{1,2,3}}
{{},{},{},{1},{2,3},{5},{1,6},{2,3,4}}
{{},{},{},{1},{2,3},{5},{2,3},{7}}
{{},{},{},{1},{2,3},{5},{2,3},{1,7}}
{{},{},{},{1},{2,3},{5},{2,3},{2,3}}
{{},{},{},{1},{2,3},{5},{2,3},{2,4}}
{{},{},{},{1},{2,3},{5},{2,3},{4,5}}
{{},{},{},{1},{2,3},{5},{2,3},{4,6}}
{{},{},{},{1},{2,3},{5},{2,3},{4,7}}
{{},{},{},{1},{2,3},{5},{2,3},{5,7}}
{{},{},{},{1},{2,3},{5},{2,3},{6,7}}
{{},{},{},{1},{2,3},{5},{2,3},{1,2,3}}
{{},{},{},{1},{2,3},{5},{2,3},{1,5,7}}
{{},{},{},{1},{2,3},{5},{2,3},{1,6,7}}
{{},{},{},{1},{2,3},{5},{2,3},{2,3,4}}
{{},{},{},{1},{2,3},{5},{2,3},{4,5,7}}
{{},{},{},{1},{2,3},{5},{2,3},{4,6,7}}
{{},{},{},{1},{2,3},{5},{2,4},{7}}
{{},{},{},{1},{2,3},{5},{2,4},{2,4}}
{{},{},{},{1},{2,3},{5},{2,4},{3,4}}
{{},{},{},{1},{2,3},{5},{2,4},{3,7}}
{{},{},{},{1},{2,3},{5},{2,4},{4,5}}
{{},{},{},{1},{2,3},{5},{2,4},{4,6}}
{{},{},{},{1},{2,3},{5},{2,4},{5,7}}
{{},{},{},{1},{2,3},{5},{2,4},{6,7}}
{{},{},{},{1},{2,3},{5},{2,4},{1,2,3}}
{{},{},{},{1},{2,3},{5},{2,4},{2,3,4}}
{{},{},{},{1},{2,3},{5},{4,5},{7}}
{{},{},{},{1},{2,3},{5},{4,5},{4,5}}
{{},{},{},{1},{2,3},{5},{4,5},{4,6}}
{{},{},{},{1},{2,3},{5},{4,5},{6,7}}
{{},{},{},{1},{2,3},{5},{4,5},{1,2,3}}
{{},{},{},{1},{2,3},{5},{4,5},{2,3,4}}
{{},{},{},{1},{2,3},{5},{4,6},{7}}
{{},{},{},{1},{2,3},{5},{4,6},{4,6}}
{{},{},{},{1},{2,3},{5},{4,6},{1,2,3}}
{{},{},{},{1},{2,3},{5},{4,6},{2,3,4}}
{{},{},{},{1},{2,3},{5},{1,2,3},{7}}
{{},{},{},{1},{2,3},{5},{1,2,3},{4,7}}
{{},{},{},{1},{2,3},{5},{1,2,3},{5,7}}
{{},{},{},{1},{2,3},{5},{1,2,3},{6,7}}
{{},{},{},{1},{2,3},{5},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,3},{5},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,3},{5},{1,2,3},{4,5,7}}
{{},{},{},{1},{2,3},{5},{1,2,3},{4,6,7}}
{{},{},{},{1},{2,3},{5},{2,3,4},{7}}
{{},{},{},{1},{2,3},{5},{2,3,4},{5,7}}
{{},{},{},{1},{2,3},{5},{2,3,4},{6,7}}
{{},{},{},{1},{2,3},{5},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{6},{6}}
{{},{},{},{1},{2,3},{1,5},{6},{7}}
{{},{},{},{1},{2,3},{1,5},{6},{1,5}}
{{},{},{},{1},{2,3},{1,5},{6},{2,3}}
{{},{},{},{1},{2,3},{1,5},{6},{2,4}}
{{},{},{},{1},{2,3},{1,5},{6},{4,5}}
{{},{},{},{1},{2,3},{1,5},{6},{4,6}}
{{},{},{},{1},{2,3},{1,5},{6},{4,7}}
{{},{},{},{1},{2,3},{1,5},{6},{1,2,3}}
{{},{},{},{1},{2,3},{1,5},{6},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{1,5},{1,5}}
{{},{},{},{1},{2,3},{1,5},{1,5},{2,3}}
{{},{},{},{1},{2,3},{1,5},{1,5},{2,4}}
{{},{},{},{1},{2,3},{1,5},{1,5},{4,5}}
{{},{},{},{1},{2,3},{1,5},{1,5},{4,6}}
{{},{},{},{1},{2,3},{1,5},{1,5},{6,7}}
{{},{},{},{1},{2,3},{1,5},{1,5},{1,2,3}}
{{},{},{},{1},{2,3},{1,5},{1,5},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{1,5},{4,6,7}}
{{},{},{},{1},{2,3},{1,5},{2,3},{1,7}}
{{},{},{},{1},{2,3},{1,5},{2,3},{2,3}}
{{},{},{},{1},{2,3},{1,5},{2,3},{2,4}}
{{},{},{},{1},{2,3},{1,5},{2,3},{4,5}}
{{},{},{},{1},{2,3},{1,5},{2,3},{4,6}}
{{},{},{},{1},{2,3},{1,5},{2,3},{4,7}}
{{},{},{},{1},{2,3},{1,5},{2,3},{5,7}}
{{},{},{},{1},{2,3},{1,5},{2,3},{6,7}}
{{},{},{},{1},{2,3},{1,5},{2,3},{1,2,3}}
{{},{},{},{1},{2,3},{1,5},{2,3},{1,5,7}}
{{},{},{},{1},{2,3},{1,5},{2,3},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{2,3},{4,5,7}}
{{},{},{},{1},{2,3},{1,5},{2,3},{4,6,7}}
{{},{},{},{1},{2,3},{1,5},{2,4},{7}}
{{},{},{},{1},{2,3},{1,5},{2,4},{2,4}}
{{},{},{},{1},{2,3},{1,5},{2,4},{3,4}}
{{},{},{},{1},{2,3},{1,5},{2,4},{3,7}}
{{},{},{},{1},{2,3},{1,5},{2,4},{4,5}}
{{},{},{},{1},{2,3},{1,5},{2,4},{4,6}}
{{},{},{},{1},{2,3},{1,5},{2,4},{5,7}}
{{},{},{},{1},{2,3},{1,5},{2,4},{6,7}}
{{},{},{},{1},{2,3},{1,5},{2,4},{1,2,3}}
{{},{},{},{1},{2,3},{1,5},{2,4},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{4,5},{7}}
{{},{},{},{1},{2,3},{1,5},{4,5},{4,5}}
{{},{},{},{1},{2,3},{1,5},{4,5},{4,6}}
{{},{},{},{1},{2,3},{1,5},{4,5},{6,7}}
{{},{},{},{1},{2,3},{1,5},{4,5},{1,2,3}}
{{},{},{},{1},{2,3},{1,5},{4,5},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{4,6},{7}}
{{},{},{},{1},{2,3},{1,5},{4,6},{4,6}}
{{},{},{},{1},{2,3},{1,5},{4,6},{1,2,3}}
{{},{},{},{1},{2,3},{1,5},{4,6},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{7}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{4,7}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{5,7}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{6,7}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{2,3},{1,5},{1,2,3},{4,6,7}}
{{},{},{},{1},{2,3},{1,5},{2,3,4},{7}}
{{},{},{},{1},{2,3},{1,5},{2,3,4},{5,7}}
{{},{},{},{1},{2,3},{1,5},{2,3,4},{6,7}}
{{},{},{},{1},{2,3},{1,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{2,3},{2,3}}
{{},{},{},{1},{2,3},{2,3},{2,3},{2,4}}
{{},{},{},{1},{2,3},{2,3},{2,3},{4,5}}
{{},{},{},{1},{2,3},{2,3},{2,3},{5,6}}
{{},{},{},{1},{2,3},{2,3},{2,3},{1,2,3}}
{{},{},{},{1},{2,3},{2,3},{2,3},{1,5,6}}
{{},{},{},{1},{2,3},{2,3},{2,3},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{2,3},{4,5,6}}
{{},{},{},{1},{2,3},{2,3},{2,3},{5,6,7}}
{{},{},{},{1},{2,3},{2,3},{2,3},{1,5,6,7}}
{{},{},{},{1},{2,3},{2,3},{2,3},{4,5,6,7}}
{{},{},{},{1},{2,3},{2,3},{2,4},{7}}
{{},{},{},{1},{2,3},{2,3},{2,4},{2,4}}
{{},{},{},{1},{2,3},{2,3},{2,4},{3,4}}
{{},{},{},{1},{2,3},{2,3},{2,4},{3,7}}
{{},{},{},{1},{2,3},{2,3},{2,4},{4,5}}
{{},{},{},{1},{2,3},{2,3},{2,4},{5,6}}
{{},{},{},{1},{2,3},{2,3},{2,4},{5,7}}
{{},{},{},{1},{2,3},{2,3},{2,4},{1,2,3}}
{{},{},{},{1},{2,3},{2,3},{2,4},{1,5,6}}
{{},{},{},{1},{2,3},{2,3},{2,4},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{2,4},{4,5,6}}
{{},{},{},{1},{2,3},{2,3},{2,4},{5,6,7}}
{{},{},{},{1},{2,3},{2,3},{4,5},{7}}
{{},{},{},{1},{2,3},{2,3},{4,5},{4,5}}
{{},{},{},{1},{2,3},{2,3},{4,5},{4,6}}
{{},{},{},{1},{2,3},{2,3},{4,5},{5,6}}
{{},{},{},{1},{2,3},{2,3},{4,5},{6,7}}
{{},{},{},{1},{2,3},{2,3},{4,5},{1,2,3}}
{{},{},{},{1},{2,3},{2,3},{4,5},{1,5,6}}
{{},{},{},{1},{2,3},{2,3},{4,5},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{4,5},{4,5,6}}
{{},{},{},{1},{2,3},{2,3},{5,6},{7}}
{{},{},{},{1},{2,3},{2,3},{5,6},{1,7}}
{{},{},{},{1},{2,3},{2,3},{5,6},{4,7}}
{{},{},{},{1},{2,3},{2,3},{5,6},{5,6}}
{{},{},{},{1},{2,3},{2,3},{5,6},{1,2,3}}
{{},{},{},{1},{2,3},{2,3},{5,6},{1,5,6}}
{{},{},{},{1},{2,3},{2,3},{5,6},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{5,6},{4,5,6}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{7}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{4,7}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{5,7}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{1,5,6}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{4,5,7}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{2,3},{2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{2,3},{2,3},{1,5,6},{7}}
{{},{},{},{1},{2,3},{2,3},{1,5,6},{4,7}}
{{},{},{},{1},{2,3},{2,3},{1,5,6},{1,5,6}}
{{},{},{},{1},{2,3},{2,3},{1,5,6},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{1,5,6},{4,5,6}}
{{},{},{},{1},{2,3},{2,3},{2,3,4},{7}}
{{},{},{},{1},{2,3},{2,3},{2,3,4},{5,7}}
{{},{},{},{1},{2,3},{2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3},{2,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{2,3},{2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,3},{2,3},{4,5,6},{7}}
{{},{},{},{1},{2,3},{2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{2,3},{2,4},{6},{6}}
{{},{},{},{1},{2,3},{2,4},{6},{7}}
{{},{},{},{1},{2,3},{2,4},{6},{2,4}}
{{},{},{},{1},{2,3},{2,4},{6},{3,4}}
{{},{},{},{1},{2,3},{2,4},{6},{3,6}}
{{},{},{},{1},{2,3},{2,4},{6},{3,7}}
{{},{},{},{1},{2,3},{2,4},{6},{4,5}}
{{},{},{},{1},{2,3},{2,4},{6},{5,6}}
{{},{},{},{1},{2,3},{2,4},{6},{5,7}}
{{},{},{},{1},{2,3},{2,4},{6},{1,2,3}}
{{},{},{},{1},{2,3},{2,4},{6},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{2,4},{2,4}}
{{},{},{},{1},{2,3},{2,4},{2,4},{3,4}}
{{},{},{},{1},{2,3},{2,4},{2,4},{3,6}}
{{},{},{},{1},{2,3},{2,4},{2,4},{4,5}}
{{},{},{},{1},{2,3},{2,4},{2,4},{5,6}}
{{},{},{},{1},{2,3},{2,4},{2,4},{6,7}}
{{},{},{},{1},{2,3},{2,4},{2,4},{1,2,3}}
{{},{},{},{1},{2,3},{2,4},{2,4},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{2,4},{3,6,7}}
{{},{},{},{1},{2,3},{2,4},{2,4},{5,6,7}}
{{},{},{},{1},{2,3},{2,4},{3,4},{2,7}}
{{},{},{},{1},{2,3},{2,4},{3,4},{4,5}}
{{},{},{},{1},{2,3},{2,4},{3,4},{5,6}}
{{},{},{},{1},{2,3},{2,4},{3,4},{6,7}}
{{},{},{},{1},{2,3},{2,4},{3,4},{1,2,3}}
{{},{},{},{1},{2,3},{2,4},{3,4},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{3,4},{5,6,7}}
{{},{},{},{1},{2,3},{2,4},{3,6},{7}}
{{},{},{},{1},{2,3},{2,4},{3,6},{3,6}}
{{},{},{},{1},{2,3},{2,4},{3,6},{4,5}}
{{},{},{},{1},{2,3},{2,4},{3,6},{5,6}}
{{},{},{},{1},{2,3},{2,4},{3,6},{5,7}}
{{},{},{},{1},{2,3},{2,4},{3,6},{1,2,3}}
{{},{},{},{1},{2,3},{2,4},{3,6},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{4,5},{7}}
{{},{},{},{1},{2,3},{2,4},{4,5},{4,5}}
{{},{},{},{1},{2,3},{2,4},{4,5},{5,6}}
{{},{},{},{1},{2,3},{2,4},{4,5},{6,7}}
{{},{},{},{1},{2,3},{2,4},{4,5},{1,2,3}}
{{},{},{},{1},{2,3},{2,4},{4,5},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{5,6},{7}}
{{},{},{},{1},{2,3},{2,4},{5,6},{5,6}}
{{},{},{},{1},{2,3},{2,4},{5,6},{1,2,3}}
{{},{},{},{1},{2,3},{2,4},{5,6},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{7}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{4,7}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{5,7}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{6,7}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{4,5,7}}
{{},{},{},{1},{2,3},{2,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{2,3},{2,4},{2,3,4},{7}}
{{},{},{},{1},{2,3},{2,4},{2,3,4},{5,7}}
{{},{},{},{1},{2,3},{2,4},{2,3,4},{6,7}}
{{},{},{},{1},{2,3},{2,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3},{2,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,3},{4,5},{6},{6}}
{{},{},{},{1},{2,3},{4,5},{6},{7}}
{{},{},{},{1},{2,3},{4,5},{6},{4,5}}
{{},{},{},{1},{2,3},{4,5},{6},{1,2,3}}
{{},{},{},{1},{2,3},{4,5},{6},{2,3,4}}
{{},{},{},{1},{2,3},{4,5},{4,5},{4,5}}
{{},{},{},{1},{2,3},{4,5},{4,5},{6,7}}
{{},{},{},{1},{2,3},{4,5},{4,5},{1,2,3}}
{{},{},{},{1},{2,3},{4,5},{4,5},{2,3,4}}
{{},{},{},{1},{2,3},{4,5},{1,2,3},{7}}
{{},{},{},{1},{2,3},{4,5},{1,2,3},{4,7}}
{{},{},{},{1},{2,3},{4,5},{1,2,3},{5,7}}
{{},{},{},{1},{2,3},{4,5},{1,2,3},{6,7}}
{{},{},{},{1},{2,3},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,3},{4,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,3},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{2,3},{4,5},{2,3,4},{7}}
{{},{},{},{1},{2,3},{4,5},{2,3,4},{5,7}}
{{},{},{},{1},{2,3},{4,5},{2,3,4},{6,7}}
{{},{},{},{1},{2,3},{4,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3},{1,2,3},{6},{6}}
{{},{},{},{1},{2,3},{1,2,3},{6},{7}}
{{},{},{},{1},{2,3},{1,2,3},{6},{4,6}}
{{},{},{},{1},{2,3},{1,2,3},{6},{4,7}}
{{},{},{},{1},{2,3},{1,2,3},{6},{5,6}}
{{},{},{},{1},{2,3},{1,2,3},{6},{5,7}}
{{},{},{},{1},{2,3},{1,2,3},{6},{1,2,3}}
{{},{},{},{1},{2,3},{1,2,3},{6},{2,3,4}}
{{},{},{},{1},{2,3},{1,2,3},{6},{4,5,6}}
{{},{},{},{1},{2,3},{1,2,3},{6},{4,5,7}}
{{},{},{},{1},{2,3},{1,2,3},{4,6},{7}}
{{},{},{},{1},{2,3},{1,2,3},{4,6},{4,6}}
{{},{},{},{1},{2,3},{1,2,3},{4,6},{5,6}}
{{},{},{},{1},{2,3},{1,2,3},{4,6},{5,7}}
{{},{},{},{1},{2,3},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1},{2,3},{1,2,3},{4,6},{2,3,4}}
{{},{},{},{1},{2,3},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{1},{2,3},{1,2,3},{5,6},{7}}
{{},{},{},{1},{2,3},{1,2,3},{5,6},{4,7}}
{{},{},{},{1},{2,3},{1,2,3},{5,6},{5,6}}
{{},{},{},{1},{2,3},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1},{2,3},{1,2,3},{5,6},{2,3,4}}
{{},{},{},{1},{2,3},{1,2,3},{5,6},{4,5,6}}
{{},{},{},{1},{2,3},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1},{2,3},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,3},{1,2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,3},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{2,3},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{2,3},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{2,3},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{2,3},{1,2,3},{2,3,4},{7}}
{{},{},{},{1},{2,3},{1,2,3},{2,3,4},{5,7}}
{{},{},{},{1},{2,3},{1,2,3},{2,3,4},{6,7}}
{{},{},{},{1},{2,3},{1,2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3},{1,2,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{2,3},{1,2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,3},{1,2,3},{4,5,6},{7}}
{{},{},{},{1},{2,3},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{2,3},{2,3,4},{6},{6}}
{{},{},{},{1},{2,3},{2,3,4},{6},{7}}
{{},{},{},{1},{2,3},{2,3,4},{6},{5,6}}
{{},{},{},{1},{2,3},{2,3,4},{6},{5,7}}
{{},{},{},{1},{2,3},{2,3,4},{6},{2,3,4}}
{{},{},{},{1},{2,3},{2,3,4},{5,6},{7}}
{{},{},{},{1},{2,3},{2,3,4},{5,6},{5,6}}
{{},{},{},{1},{2,3},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{1},{2,3},{2,3,4},{2,3,4},{6,7}}
{{},{},{},{1},{2,3},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,4},{5},{5},{5}}
{{},{},{},{1},{2,4},{5},{5},{6}}
{{},{},{},{1},{2,4},{5},{5},{2,4}}
{{},{},{},{1},{2,4},{5},{5},{3,4}}
{{},{},{},{1},{2,4},{5},{5},{3,5}}
{{},{},{},{1},{2,4},{5},{5},{3,6}}
{{},{},{},{1},{2,4},{5},{5},{6,7}}
{{},{},{},{1},{2,4},{5},{5},{1,2,3}}
{{},{},{},{1},{2,4},{5},{5},{2,3,4}}
{{},{},{},{1},{2,4},{5},{5},{3,6,7}}
{{},{},{},{1},{2,4},{5},{6},{6}}
{{},{},{},{1},{2,4},{5},{6},{7}}
{{},{},{},{1},{2,4},{5},{6},{2,4}}
{{},{},{},{1},{2,4},{5},{6},{3,4}}
{{},{},{},{1},{2,4},{5},{6},{3,5}}
{{},{},{},{1},{2,4},{5},{6},{3,6}}
{{},{},{},{1},{2,4},{5},{6},{3,7}}
{{},{},{},{1},{2,4},{5},{6},{1,2,3}}
{{},{},{},{1},{2,4},{5},{6},{2,3,4}}
{{},{},{},{1},{2,4},{5},{2,4},{7}}
{{},{},{},{1},{2,4},{5},{2,4},{2,4}}
{{},{},{},{1},{2,4},{5},{2,4},{3,4}}
{{},{},{},{1},{2,4},{5},{2,4},{3,5}}
{{},{},{},{1},{2,4},{5},{2,4},{3,6}}
{{},{},{},{1},{2,4},{5},{2,4},{3,7}}
{{},{},{},{1},{2,4},{5},{2,4},{5,7}}
{{},{},{},{1},{2,4},{5},{2,4},{6,7}}
{{},{},{},{1},{2,4},{5},{2,4},{1,2,3}}
{{},{},{},{1},{2,4},{5},{2,4},{2,3,4}}
{{},{},{},{1},{2,4},{5},{2,4},{3,5,7}}
{{},{},{},{1},{2,4},{5},{2,4},{3,6,7}}
{{},{},{},{1},{2,4},{5},{3,4},{7}}
{{},{},{},{1},{2,4},{5},{3,4},{2,7}}
{{},{},{},{1},{2,4},{5},{3,4},{3,4}}
{{},{},{},{1},{2,4},{5},{3,4},{3,5}}
{{},{},{},{1},{2,4},{5},{3,4},{3,6}}
{{},{},{},{1},{2,4},{5},{3,4},{5,7}}
{{},{},{},{1},{2,4},{5},{3,4},{6,7}}
{{},{},{},{1},{2,4},{5},{3,4},{1,2,3}}
{{},{},{},{1},{2,4},{5},{3,4},{2,3,4}}
{{},{},{},{1},{2,4},{5},{3,5},{7}}
{{},{},{},{1},{2,4},{5},{3,5},{3,5}}
{{},{},{},{1},{2,4},{5},{3,5},{3,6}}
{{},{},{},{1},{2,4},{5},{3,5},{6,7}}
{{},{},{},{1},{2,4},{5},{3,5},{1,2,3}}
{{},{},{},{1},{2,4},{5},{3,5},{2,3,4}}
{{},{},{},{1},{2,4},{5},{3,6},{7}}
{{},{},{},{1},{2,4},{5},{3,6},{3,6}}
{{},{},{},{1},{2,4},{5},{3,6},{1,2,3}}
{{},{},{},{1},{2,4},{5},{3,6},{2,3,4}}
{{},{},{},{1},{2,4},{5},{1,2,3},{7}}
{{},{},{},{1},{2,4},{5},{1,2,3},{4,7}}
{{},{},{},{1},{2,4},{5},{1,2,3},{5,7}}
{{},{},{},{1},{2,4},{5},{1,2,3},{6,7}}
{{},{},{},{1},{2,4},{5},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,4},{5},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,4},{5},{2,3,4},{7}}
{{},{},{},{1},{2,4},{5},{2,3,4},{5,7}}
{{},{},{},{1},{2,4},{5},{2,3,4},{6,7}}
{{},{},{},{1},{2,4},{5},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,4},{2,4},{2,4},{2,4}}
{{},{},{},{1},{2,4},{2,4},{2,4},{3,4}}
{{},{},{},{1},{2,4},{2,4},{2,4},{3,5}}
{{},{},{},{1},{2,4},{2,4},{2,4},{5,6}}
{{},{},{},{1},{2,4},{2,4},{2,4},{1,2,3}}
{{},{},{},{1},{2,4},{2,4},{2,4},{2,3,4}}
{{},{},{},{1},{2,4},{2,4},{2,4},{3,5,6}}
{{},{},{},{1},{2,4},{2,4},{2,4},{5,6,7}}
{{},{},{},{1},{2,4},{2,4},{2,4},{3,5,6,7}}
{{},{},{},{1},{2,4},{2,4},{3,4},{2,7}}
{{},{},{},{1},{2,4},{2,4},{3,4},{3,4}}
{{},{},{},{1},{2,4},{2,4},{3,4},{3,5}}
{{},{},{},{1},{2,4},{2,4},{3,4},{5,6}}
{{},{},{},{1},{2,4},{2,4},{3,4},{5,7}}
{{},{},{},{1},{2,4},{2,4},{3,4},{1,2,3}}
{{},{},{},{1},{2,4},{2,4},{3,4},{2,3,4}}
{{},{},{},{1},{2,4},{2,4},{3,4},{3,5,6}}
{{},{},{},{1},{2,4},{2,4},{3,4},{5,6,7}}
{{},{},{},{1},{2,4},{2,4},{3,5},{7}}
{{},{},{},{1},{2,4},{2,4},{3,5},{3,5}}
{{},{},{},{1},{2,4},{2,4},{3,5},{3,6}}
{{},{},{},{1},{2,4},{2,4},{3,5},{5,6}}
{{},{},{},{1},{2,4},{2,4},{3,5},{6,7}}
{{},{},{},{1},{2,4},{2,4},{3,5},{1,2,3}}
{{},{},{},{1},{2,4},{2,4},{3,5},{2,3,4}}
{{},{},{},{1},{2,4},{2,4},{3,5},{3,5,6}}
{{},{},{},{1},{2,4},{2,4},{5,6},{7}}
{{},{},{},{1},{2,4},{2,4},{5,6},{3,7}}
{{},{},{},{1},{2,4},{2,4},{5,6},{5,6}}
{{},{},{},{1},{2,4},{2,4},{5,6},{1,2,3}}
{{},{},{},{1},{2,4},{2,4},{5,6},{2,3,4}}
{{},{},{},{1},{2,4},{2,4},{5,6},{3,5,6}}
{{},{},{},{1},{2,4},{2,4},{1,2,3},{7}}
{{},{},{},{1},{2,4},{2,4},{1,2,3},{4,7}}
{{},{},{},{1},{2,4},{2,4},{1,2,3},{5,7}}
{{},{},{},{1},{2,4},{2,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,4},{2,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,4},{2,4},{1,2,3},{3,5,6}}
{{},{},{},{1},{2,4},{2,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{2,4},{2,4},{2,3,4},{7}}
{{},{},{},{1},{2,4},{2,4},{2,3,4},{5,7}}
{{},{},{},{1},{2,4},{2,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,4},{2,4},{2,3,4},{3,5,6}}
{{},{},{},{1},{2,4},{2,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,4},{2,4},{3,5,6},{7}}
{{},{},{},{1},{2,4},{2,4},{3,5,6},{3,5,6}}
{{},{},{},{1},{2,4},{3,4},{2,6},{7}}
{{},{},{},{1},{2,4},{3,4},{2,6},{2,6}}
{{},{},{},{1},{2,4},{3,4},{2,6},{3,5}}
{{},{},{},{1},{2,4},{3,4},{2,6},{5,6}}
{{},{},{},{1},{2,4},{3,4},{2,6},{5,7}}
{{},{},{},{1},{2,4},{3,4},{2,6},{1,2,3}}
{{},{},{},{1},{2,4},{3,4},{2,6},{2,3,4}}
{{},{},{},{1},{2,4},{3,4},{5,6},{7}}
{{},{},{},{1},{2,4},{3,4},{5,6},{5,6}}
{{},{},{},{1},{2,4},{3,4},{5,6},{1,2,3}}
{{},{},{},{1},{2,4},{3,4},{5,6},{2,3,4}}
{{},{},{},{1},{2,4},{3,4},{1,2,3},{7}}
{{},{},{},{1},{2,4},{3,4},{1,2,3},{4,7}}
{{},{},{},{1},{2,4},{3,4},{1,2,3},{5,7}}
{{},{},{},{1},{2,4},{3,4},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,4},{3,4},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,4},{3,4},{1,2,3},{5,6,7}}
{{},{},{},{1},{2,4},{3,4},{2,3,4},{7}}
{{},{},{},{1},{2,4},{3,4},{2,3,4},{5,7}}
{{},{},{},{1},{2,4},{3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,4},{3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,4},{3,5},{6},{6}}
{{},{},{},{1},{2,4},{3,5},{6},{7}}
{{},{},{},{1},{2,4},{3,5},{6},{3,5}}
{{},{},{},{1},{2,4},{3,5},{6},{1,2,3}}
{{},{},{},{1},{2,4},{3,5},{6},{2,3,4}}
{{},{},{},{1},{2,4},{3,5},{3,5},{3,5}}
{{},{},{},{1},{2,4},{3,5},{3,5},{6,7}}
{{},{},{},{1},{2,4},{3,5},{3,5},{1,2,3}}
{{},{},{},{1},{2,4},{3,5},{3,5},{2,3,4}}
{{},{},{},{1},{2,4},{3,5},{1,2,3},{7}}
{{},{},{},{1},{2,4},{3,5},{1,2,3},{4,7}}
{{},{},{},{1},{2,4},{3,5},{1,2,3},{5,7}}
{{},{},{},{1},{2,4},{3,5},{1,2,3},{6,7}}
{{},{},{},{1},{2,4},{3,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,4},{3,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,4},{3,5},{2,3,4},{7}}
{{},{},{},{1},{2,4},{3,5},{2,3,4},{5,7}}
{{},{},{},{1},{2,4},{3,5},{2,3,4},{6,7}}
{{},{},{},{1},{2,4},{3,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,4},{1,2,3},{6},{6}}
{{},{},{},{1},{2,4},{1,2,3},{6},{7}}
{{},{},{},{1},{2,4},{1,2,3},{6},{4,6}}
{{},{},{},{1},{2,4},{1,2,3},{6},{4,7}}
{{},{},{},{1},{2,4},{1,2,3},{6},{5,6}}
{{},{},{},{1},{2,4},{1,2,3},{6},{5,7}}
{{},{},{},{1},{2,4},{1,2,3},{6},{1,2,3}}
{{},{},{},{1},{2,4},{1,2,3},{6},{2,3,4}}
{{},{},{},{1},{2,4},{1,2,3},{4,6},{7}}
{{},{},{},{1},{2,4},{1,2,3},{4,6},{4,6}}
{{},{},{},{1},{2,4},{1,2,3},{4,6},{5,6}}
{{},{},{},{1},{2,4},{1,2,3},{4,6},{5,7}}
{{},{},{},{1},{2,4},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1},{2,4},{1,2,3},{4,6},{2,3,4}}
{{},{},{},{1},{2,4},{1,2,3},{5,6},{7}}
{{},{},{},{1},{2,4},{1,2,3},{5,6},{5,6}}
{{},{},{},{1},{2,4},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1},{2,4},{1,2,3},{5,6},{2,3,4}}
{{},{},{},{1},{2,4},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1},{2,4},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{2,4},{1,2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{2,4},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1},{2,4},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{2,4},{1,2,3},{2,3,4},{7}}
{{},{},{},{1},{2,4},{1,2,3},{2,3,4},{5,7}}
{{},{},{},{1},{2,4},{1,2,3},{2,3,4},{6,7}}
{{},{},{},{1},{2,4},{1,2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,4},{1,2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,4},{2,3,4},{6},{6}}
{{},{},{},{1},{2,4},{2,3,4},{6},{7}}
{{},{},{},{1},{2,4},{2,3,4},{6},{5,6}}
{{},{},{},{1},{2,4},{2,3,4},{6},{5,7}}
{{},{},{},{1},{2,4},{2,3,4},{6},{2,3,4}}
{{},{},{},{1},{2,4},{2,3,4},{5,6},{7}}
{{},{},{},{1},{2,4},{2,3,4},{5,6},{5,6}}
{{},{},{},{1},{2,4},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{1},{2,4},{2,3,4},{2,3,4},{6,7}}
{{},{},{},{1},{2,4},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,4},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2,3},{5},{5},{5}}
{{},{},{},{1},{1,2,3},{5},{5},{6}}
{{},{},{},{1},{1,2,3},{5},{5},{4,5}}
{{},{},{},{1},{1,2,3},{5},{5},{4,6}}
{{},{},{},{1},{1,2,3},{5},{5},{6,7}}
{{},{},{},{1},{1,2,3},{5},{5},{1,2,3}}
{{},{},{},{1},{1,2,3},{5},{5},{2,3,4}}
{{},{},{},{1},{1,2,3},{5},{5},{4,6,7}}
{{},{},{},{1},{1,2,3},{5},{6},{6}}
{{},{},{},{1},{1,2,3},{5},{6},{7}}
{{},{},{},{1},{1,2,3},{5},{6},{4,5}}
{{},{},{},{1},{1,2,3},{5},{6},{4,6}}
{{},{},{},{1},{1,2,3},{5},{6},{4,7}}
{{},{},{},{1},{1,2,3},{5},{6},{1,2,3}}
{{},{},{},{1},{1,2,3},{5},{6},{2,3,4}}
{{},{},{},{1},{1,2,3},{5},{4,5},{7}}
{{},{},{},{1},{1,2,3},{5},{4,5},{4,5}}
{{},{},{},{1},{1,2,3},{5},{4,5},{4,6}}
{{},{},{},{1},{1,2,3},{5},{4,5},{6,7}}
{{},{},{},{1},{1,2,3},{5},{4,5},{1,2,3}}
{{},{},{},{1},{1,2,3},{5},{4,5},{2,3,4}}
{{},{},{},{1},{1,2,3},{5},{4,6},{7}}
{{},{},{},{1},{1,2,3},{5},{4,6},{4,6}}
{{},{},{},{1},{1,2,3},{5},{4,6},{1,2,3}}
{{},{},{},{1},{1,2,3},{5},{4,6},{2,3,4}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{7}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{4,7}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{5,7}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{6,7}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2,3},{5},{1,2,3},{4,6,7}}
{{},{},{},{1},{1,2,3},{5},{2,3,4},{7}}
{{},{},{},{1},{1,2,3},{5},{2,3,4},{5,7}}
{{},{},{},{1},{1,2,3},{5},{2,3,4},{6,7}}
{{},{},{},{1},{1,2,3},{5},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2,3},{4,5},{6},{6}}
{{},{},{},{1},{1,2,3},{4,5},{6},{7}}
{{},{},{},{1},{1,2,3},{4,5},{6},{4,5}}
{{},{},{},{1},{1,2,3},{4,5},{6},{1,2,3}}
{{},{},{},{1},{1,2,3},{4,5},{6},{2,3,4}}
{{},{},{},{1},{1,2,3},{4,5},{4,5},{4,5}}
{{},{},{},{1},{1,2,3},{4,5},{4,5},{6,7}}
{{},{},{},{1},{1,2,3},{4,5},{4,5},{1,2,3}}
{{},{},{},{1},{1,2,3},{4,5},{4,5},{2,3,4}}
{{},{},{},{1},{1,2,3},{4,5},{1,2,3},{4,7}}
{{},{},{},{1},{1,2,3},{4,5},{1,2,3},{5,7}}
{{},{},{},{1},{1,2,3},{4,5},{1,2,3},{6,7}}
{{},{},{},{1},{1,2,3},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2,3},{4,5},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2,3},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1},{1,2,3},{4,5},{2,3,4},{7}}
{{},{},{},{1},{1,2,3},{4,5},{2,3,4},{5,7}}
{{},{},{},{1},{1,2,3},{4,5},{2,3,4},{6,7}}
{{},{},{},{1},{1,2,3},{4,5},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2,3},{1,2,3},{5,6},{7}}
{{},{},{},{1},{1,2,3},{1,2,3},{5,6},{4,7}}
{{},{},{},{1},{1,2,3},{1,2,3},{5,6},{5,6}}
{{},{},{},{1},{1,2,3},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1},{1,2,3},{1,2,3},{5,6},{2,3,4}}
{{},{},{},{1},{1,2,3},{1,2,3},{5,6},{4,5,6}}
{{},{},{},{1},{1,2,3},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1},{1,2,3},{1,2,3},{1,2,3},{2,3,4}}
{{},{},{},{1},{1,2,3},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1},{1,2,3},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1},{1,2,3},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1},{1,2,3},{1,2,3},{2,3,4},{7}}
{{},{},{},{1},{1,2,3},{1,2,3},{2,3,4},{5,7}}
{{},{},{},{1},{1,2,3},{1,2,3},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2,3},{1,2,3},{2,3,4},{4,5,6}}
{{},{},{},{1},{1,2,3},{1,2,3},{2,3,4},{5,6,7}}
{{},{},{},{1},{1,2,3},{1,2,3},{4,5,6},{7}}
{{},{},{},{1},{1,2,3},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1},{1,2,3},{2,3,4},{6},{6}}
{{},{},{},{1},{1,2,3},{2,3,4},{6},{7}}
{{},{},{},{1},{1,2,3},{2,3,4},{6},{5,6}}
{{},{},{},{1},{1,2,3},{2,3,4},{6},{5,7}}
{{},{},{},{1},{1,2,3},{2,3,4},{6},{2,3,4}}
{{},{},{},{1},{1,2,3},{2,3,4},{5,6},{7}}
{{},{},{},{1},{1,2,3},{2,3,4},{5,6},{5,6}}
{{},{},{},{1},{1,2,3},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{1},{1,2,3},{2,3,4},{2,3,4},{6,7}}
{{},{},{},{1},{1,2,3},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{1,2,3},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{1},{2,3,4},{5},{5},{5}}
{{},{},{},{1},{2,3,4},{5},{5},{6}}
{{},{},{},{1},{2,3,4},{5},{5},{6,7}}
{{},{},{},{1},{2,3,4},{5},{5},{2,3,4}}
{{},{},{},{1},{2,3,4},{5},{6},{6}}
{{},{},{},{1},{2,3,4},{5},{6},{7}}
{{},{},{},{1},{2,3,4},{5},{6},{2,3,4}}
{{},{},{},{1},{2,3,4},{5},{2,3,4},{7}}
{{},{},{},{1},{2,3,4},{5},{2,3,4},{5,7}}
{{},{},{},{1},{2,3,4},{5},{2,3,4},{6,7}}
{{},{},{},{1},{2,3,4},{5},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3,4},{2,3,4},{5,6},{7}}
{{},{},{},{1},{2,3,4},{2,3,4},{5,6},{5,6}}
{{},{},{},{1},{2,3,4},{2,3,4},{5,6},{2,3,4}}
{{},{},{},{1},{2,3,4},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{},{1},{2,3,4},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{},{1,2},{4},{4},{4},{4}}
{{},{},{},{1,2},{4},{4},{4},{5}}
{{},{},{},{1,2},{4},{4},{4},{1,2}}
{{},{},{},{1,2},{4},{4},{4},{1,3}}
{{},{},{},{1,2},{4},{4},{4},{3,4}}
{{},{},{},{1,2},{4},{4},{4},{3,5}}
{{},{},{},{1,2},{4},{4},{4},{5,6}}
{{},{},{},{1,2},{4},{4},{4},{1,2,3}}
{{},{},{},{1,2},{4},{4},{4},{3,5,6}}
{{},{},{},{1,2},{4},{4},{4},{5,6,7}}
{{},{},{},{1,2},{4},{4},{4},{3,5,6,7}}
{{},{},{},{1,2},{4},{4},{5},{5}}
{{},{},{},{1,2},{4},{4},{5},{6}}
{{},{},{},{1,2},{4},{4},{5},{7}}
{{},{},{},{1,2},{4},{4},{5},{1,2}}
{{},{},{},{1,2},{4},{4},{5},{1,3}}
{{},{},{},{1,2},{4},{4},{5},{3,4}}
{{},{},{},{1,2},{4},{4},{5},{3,5}}
{{},{},{},{1,2},{4},{4},{5},{3,6}}
{{},{},{},{1,2},{4},{4},{5},{3,7}}
{{},{},{},{1,2},{4},{4},{5},{5,6}}
{{},{},{},{1,2},{4},{4},{5},{6,7}}
{{},{},{},{1,2},{4},{4},{5},{1,2,3}}
{{},{},{},{1,2},{4},{4},{5},{3,5,6}}
{{},{},{},{1,2},{4},{4},{5},{3,6,7}}
{{},{},{},{1,2},{4},{4},{1,2},{7}}
{{},{},{},{1,2},{4},{4},{1,2},{1,2}}
{{},{},{},{1,2},{4},{4},{1,2},{1,3}}
{{},{},{},{1,2},{4},{4},{1,2},{3,4}}
{{},{},{},{1,2},{4},{4},{1,2},{3,5}}
{{},{},{},{1,2},{4},{4},{1,2},{3,7}}
{{},{},{},{1,2},{4},{4},{1,2},{4,7}}
{{},{},{},{1,2},{4},{4},{1,2},{5,6}}
{{},{},{},{1,2},{4},{4},{1,2},{5,7}}
{{},{},{},{1,2},{4},{4},{1,2},{1,2,3}}
{{},{},{},{1,2},{4},{4},{1,2},{3,4,7}}
{{},{},{},{1,2},{4},{4},{1,2},{3,5,6}}
{{},{},{},{1,2},{4},{4},{1,2},{3,5,7}}
{{},{},{},{1,2},{4},{4},{1,2},{5,6,7}}
{{},{},{},{1,2},{4},{4},{1,2},{3,5,6,7}}
{{},{},{},{1,2},{4},{4},{1,3},{7}}
{{},{},{},{1,2},{4},{4},{1,3},{1,3}}
{{},{},{},{1,2},{4},{4},{1,3},{2,3}}
{{},{},{},{1,2},{4},{4},{1,3},{2,7}}
{{},{},{},{1,2},{4},{4},{1,3},{3,4}}
{{},{},{},{1,2},{4},{4},{1,3},{3,5}}
{{},{},{},{1,2},{4},{4},{1,3},{4,7}}
{{},{},{},{1,2},{4},{4},{1,3},{5,6}}
{{},{},{},{1,2},{4},{4},{1,3},{5,7}}
{{},{},{},{1,2},{4},{4},{1,3},{1,2,3}}
{{},{},{},{1,2},{4},{4},{1,3},{3,5,6}}
{{},{},{},{1,2},{4},{4},{1,3},{5,6,7}}
{{},{},{},{1,2},{4},{4},{3,4},{7}}
{{},{},{},{1,2},{4},{4},{3,4},{3,4}}
{{},{},{},{1,2},{4},{4},{3,4},{3,5}}
{{},{},{},{1,2},{4},{4},{3,4},{5,6}}
{{},{},{},{1,2},{4},{4},{3,4},{5,7}}
{{},{},{},{1,2},{4},{4},{3,4},{1,2,3}}
{{},{},{},{1,2},{4},{4},{3,4},{3,5,6}}
{{},{},{},{1,2},{4},{4},{3,4},{5,6,7}}
{{},{},{},{1,2},{4},{4},{3,5},{7}}
{{},{},{},{1,2},{4},{4},{3,5},{3,5}}
{{},{},{},{1,2},{4},{4},{3,5},{3,6}}
{{},{},{},{1,2},{4},{4},{3,5},{5,6}}
{{},{},{},{1,2},{4},{4},{3,5},{6,7}}
{{},{},{},{1,2},{4},{4},{3,5},{1,2,3}}
{{},{},{},{1,2},{4},{4},{3,5},{3,5,6}}
{{},{},{},{1,2},{4},{4},{5,6},{7}}
{{},{},{},{1,2},{4},{4},{5,6},{3,7}}
{{},{},{},{1,2},{4},{4},{5,6},{5,6}}
{{},{},{},{1,2},{4},{4},{5,6},{1,2,3}}
{{},{},{},{1,2},{4},{4},{5,6},{3,5,6}}
{{},{},{},{1,2},{4},{4},{1,2,3},{7}}
{{},{},{},{1,2},{4},{4},{1,2,3},{4,7}}
{{},{},{},{1,2},{4},{4},{1,2,3},{5,7}}
{{},{},{},{1,2},{4},{4},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{4},{4},{1,2,3},{3,5,6}}
{{},{},{},{1,2},{4},{4},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{4},{4},{3,5,6},{7}}
{{},{},{},{1,2},{4},{4},{3,5,6},{3,5,6}}
{{},{},{},{1,2},{4},{5},{5},{5}}
{{},{},{},{1,2},{4},{5},{5},{6}}
{{},{},{},{1,2},{4},{5},{5},{1,2}}
{{},{},{},{1,2},{4},{5},{5},{1,3}}
{{},{},{},{1,2},{4},{5},{5},{3,4}}
{{},{},{},{1,2},{4},{5},{5},{3,5}}
{{},{},{},{1,2},{4},{5},{5},{3,6}}
{{},{},{},{1,2},{4},{5},{5},{6,7}}
{{},{},{},{1,2},{4},{5},{5},{1,2,3}}
{{},{},{},{1,2},{4},{5},{5},{3,6,7}}
{{},{},{},{1,2},{4},{5},{6},{6}}
{{},{},{},{1,2},{4},{5},{6},{7}}
{{},{},{},{1,2},{4},{5},{6},{1,2}}
{{},{},{},{1,2},{4},{5},{6},{1,3}}
{{},{},{},{1,2},{4},{5},{6},{3,4}}
{{},{},{},{1,2},{4},{5},{6},{3,5}}
{{},{},{},{1,2},{4},{5},{6},{3,6}}
{{},{},{},{1,2},{4},{5},{6},{3,7}}
{{},{},{},{1,2},{4},{5},{6},{1,2,3}}
{{},{},{},{1,2},{4},{5},{1,2},{7}}
{{},{},{},{1,2},{4},{5},{1,2},{1,2}}
{{},{},{},{1,2},{4},{5},{1,2},{1,3}}
{{},{},{},{1,2},{4},{5},{1,2},{3,4}}
{{},{},{},{1,2},{4},{5},{1,2},{3,5}}
{{},{},{},{1,2},{4},{5},{1,2},{3,6}}
{{},{},{},{1,2},{4},{5},{1,2},{3,7}}
{{},{},{},{1,2},{4},{5},{1,2},{4,7}}
{{},{},{},{1,2},{4},{5},{1,2},{5,7}}
{{},{},{},{1,2},{4},{5},{1,2},{6,7}}
{{},{},{},{1,2},{4},{5},{1,2},{1,2,3}}
{{},{},{},{1,2},{4},{5},{1,2},{3,4,7}}
{{},{},{},{1,2},{4},{5},{1,2},{3,5,7}}
{{},{},{},{1,2},{4},{5},{1,2},{3,6,7}}
{{},{},{},{1,2},{4},{5},{1,3},{7}}
{{},{},{},{1,2},{4},{5},{1,3},{1,3}}
{{},{},{},{1,2},{4},{5},{1,3},{2,3}}
{{},{},{},{1,2},{4},{5},{1,3},{2,7}}
{{},{},{},{1,2},{4},{5},{1,3},{3,4}}
{{},{},{},{1,2},{4},{5},{1,3},{3,5}}
{{},{},{},{1,2},{4},{5},{1,3},{3,6}}
{{},{},{},{1,2},{4},{5},{1,3},{4,7}}
{{},{},{},{1,2},{4},{5},{1,3},{5,7}}
{{},{},{},{1,2},{4},{5},{1,3},{6,7}}
{{},{},{},{1,2},{4},{5},{1,3},{1,2,3}}
{{},{},{},{1,2},{4},{5},{3,4},{7}}
{{},{},{},{1,2},{4},{5},{3,4},{3,4}}
{{},{},{},{1,2},{4},{5},{3,4},{3,5}}
{{},{},{},{1,2},{4},{5},{3,4},{3,6}}
{{},{},{},{1,2},{4},{5},{3,4},{5,7}}
{{},{},{},{1,2},{4},{5},{3,4},{6,7}}
{{},{},{},{1,2},{4},{5},{3,4},{1,2,3}}
{{},{},{},{1,2},{4},{5},{3,5},{7}}
{{},{},{},{1,2},{4},{5},{3,5},{3,5}}
{{},{},{},{1,2},{4},{5},{3,5},{3,6}}
{{},{},{},{1,2},{4},{5},{3,5},{6,7}}
{{},{},{},{1,2},{4},{5},{3,5},{1,2,3}}
{{},{},{},{1,2},{4},{5},{3,6},{7}}
{{},{},{},{1,2},{4},{5},{3,6},{3,6}}
{{},{},{},{1,2},{4},{5},{3,6},{1,2,3}}
{{},{},{},{1,2},{4},{5},{1,2,3},{7}}
{{},{},{},{1,2},{4},{5},{1,2,3},{4,7}}
{{},{},{},{1,2},{4},{5},{1,2,3},{5,7}}
{{},{},{},{1,2},{4},{5},{1,2,3},{6,7}}
{{},{},{},{1,2},{4},{5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{6},{1,2}}
{{},{},{},{1,2},{4},{1,2},{6},{1,3}}
{{},{},{},{1,2},{4},{1,2},{6},{3,4}}
{{},{},{},{1,2},{4},{1,2},{6},{3,5}}
{{},{},{},{1,2},{4},{1,2},{6},{4,6}}
{{},{},{},{1,2},{4},{1,2},{6},{4,7}}
{{},{},{},{1,2},{4},{1,2},{6},{5,7}}
{{},{},{},{1,2},{4},{1,2},{6},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{6},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{6},{3,4,7}}
{{},{},{},{1,2},{4},{1,2},{6},{3,5,7}}
{{},{},{},{1,2},{4},{1,2},{1,2},{1,2}}
{{},{},{},{1,2},{4},{1,2},{1,2},{1,3}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,4}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,5}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,6}}
{{},{},{},{1,2},{4},{1,2},{1,2},{4,6}}
{{},{},{},{1,2},{4},{1,2},{1,2},{5,6}}
{{},{},{},{1,2},{4},{1,2},{1,2},{6,7}}
{{},{},{},{1,2},{4},{1,2},{1,2},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,6,7}}
{{},{},{},{1,2},{4},{1,2},{1,2},{4,6,7}}
{{},{},{},{1,2},{4},{1,2},{1,2},{5,6,7}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,4,6,7}}
{{},{},{},{1,2},{4},{1,2},{1,2},{3,5,6,7}}
{{},{},{},{1,2},{4},{1,2},{1,3},{7}}
{{},{},{},{1,2},{4},{1,2},{1,3},{1,3}}
{{},{},{},{1,2},{4},{1,2},{1,3},{2,3}}
{{},{},{},{1,2},{4},{1,2},{1,3},{2,7}}
{{},{},{},{1,2},{4},{1,2},{1,3},{3,4}}
{{},{},{},{1,2},{4},{1,2},{1,3},{3,5}}
{{},{},{},{1,2},{4},{1,2},{1,3},{3,6}}
{{},{},{},{1,2},{4},{1,2},{1,3},{4,6}}
{{},{},{},{1,2},{4},{1,2},{1,3},{4,7}}
{{},{},{},{1,2},{4},{1,2},{1,3},{5,6}}
{{},{},{},{1,2},{4},{1,2},{1,3},{5,7}}
{{},{},{},{1,2},{4},{1,2},{1,3},{6,7}}
{{},{},{},{1,2},{4},{1,2},{1,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{1,3},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{1,3},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{1,3},{4,6,7}}
{{},{},{},{1,2},{4},{1,2},{1,3},{5,6,7}}
{{},{},{},{1,2},{4},{1,2},{3,4},{7}}
{{},{},{},{1,2},{4},{1,2},{3,4},{3,4}}
{{},{},{},{1,2},{4},{1,2},{3,4},{3,5}}
{{},{},{},{1,2},{4},{1,2},{3,4},{3,6}}
{{},{},{},{1,2},{4},{1,2},{3,4},{4,6}}
{{},{},{},{1,2},{4},{1,2},{3,4},{5,6}}
{{},{},{},{1,2},{4},{1,2},{3,4},{5,7}}
{{},{},{},{1,2},{4},{1,2},{3,4},{6,7}}
{{},{},{},{1,2},{4},{1,2},{3,4},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{3,4},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{3,4},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{3,4},{5,6,7}}
{{},{},{},{1,2},{4},{1,2},{3,5},{7}}
{{},{},{},{1,2},{4},{1,2},{3,5},{3,5}}
{{},{},{},{1,2},{4},{1,2},{3,5},{3,6}}
{{},{},{},{1,2},{4},{1,2},{3,5},{4,6}}
{{},{},{},{1,2},{4},{1,2},{3,5},{5,6}}
{{},{},{},{1,2},{4},{1,2},{3,5},{6,7}}
{{},{},{},{1,2},{4},{1,2},{3,5},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{3,5},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{3,5},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{3,6},{7}}
{{},{},{},{1,2},{4},{1,2},{3,6},{3,6}}
{{},{},{},{1,2},{4},{1,2},{3,6},{4,6}}
{{},{},{},{1,2},{4},{1,2},{3,6},{4,7}}
{{},{},{},{1,2},{4},{1,2},{3,6},{5,6}}
{{},{},{},{1,2},{4},{1,2},{3,6},{5,7}}
{{},{},{},{1,2},{4},{1,2},{3,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{3,6},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{3,6},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{4,6},{7}}
{{},{},{},{1,2},{4},{1,2},{4,6},{3,7}}
{{},{},{},{1,2},{4},{1,2},{4,6},{4,6}}
{{},{},{},{1,2},{4},{1,2},{4,6},{5,6}}
{{},{},{},{1,2},{4},{1,2},{4,6},{5,7}}
{{},{},{},{1,2},{4},{1,2},{4,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{4,6},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{4,6},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{4,6},{3,5,7}}
{{},{},{},{1,2},{4},{1,2},{5,6},{7}}
{{},{},{},{1,2},{4},{1,2},{5,6},{3,7}}
{{},{},{},{1,2},{4},{1,2},{5,6},{5,6}}
{{},{},{},{1,2},{4},{1,2},{5,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{5,6},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{5,6},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{7}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{4,7}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{5,7}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{6,7}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{4},{1,2},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{4},{1,2},{3,4,6},{7}}
{{},{},{},{1,2},{4},{1,2},{3,4,6},{5,7}}
{{},{},{},{1,2},{4},{1,2},{3,4,6},{3,4,6}}
{{},{},{},{1,2},{4},{1,2},{3,4,6},{3,5,6}}
{{},{},{},{1,2},{4},{1,2},{3,5,6},{7}}
{{},{},{},{1,2},{4},{1,2},{3,5,6},{3,5,6}}
{{},{},{},{1,2},{4},{1,3},{6},{2,3}}
{{},{},{},{1,2},{4},{1,3},{6},{2,6}}
{{},{},{},{1,2},{4},{1,3},{6},{2,7}}
{{},{},{},{1,2},{4},{1,3},{6},{4,6}}
{{},{},{},{1,2},{4},{1,3},{6},{4,7}}
{{},{},{},{1,2},{4},{1,3},{6},{5,7}}
{{},{},{},{1,2},{4},{1,3},{6},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{1,3},{1,3}}
{{},{},{},{1,2},{4},{1,3},{1,3},{2,3}}
{{},{},{},{1,2},{4},{1,3},{1,3},{2,6}}
{{},{},{},{1,2},{4},{1,3},{1,3},{3,4}}
{{},{},{},{1,2},{4},{1,3},{1,3},{3,5}}
{{},{},{},{1,2},{4},{1,3},{1,3},{4,6}}
{{},{},{},{1,2},{4},{1,3},{1,3},{5,6}}
{{},{},{},{1,2},{4},{1,3},{1,3},{6,7}}
{{},{},{},{1,2},{4},{1,3},{1,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{1,3},{2,6,7}}
{{},{},{},{1,2},{4},{1,3},{1,3},{4,6,7}}
{{},{},{},{1,2},{4},{1,3},{1,3},{5,6,7}}
{{},{},{},{1,2},{4},{1,3},{2,3},{1,7}}
{{},{},{},{1,2},{4},{1,3},{2,3},{3,4}}
{{},{},{},{1,2},{4},{1,3},{2,3},{3,5}}
{{},{},{},{1,2},{4},{1,3},{2,3},{4,6}}
{{},{},{},{1,2},{4},{1,3},{2,3},{5,6}}
{{},{},{},{1,2},{4},{1,3},{2,3},{6,7}}
{{},{},{},{1,2},{4},{1,3},{2,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{2,3},{4,6,7}}
{{},{},{},{1,2},{4},{1,3},{2,3},{5,6,7}}
{{},{},{},{1,2},{4},{1,3},{2,6},{7}}
{{},{},{},{1,2},{4},{1,3},{2,6},{2,6}}
{{},{},{},{1,2},{4},{1,3},{2,6},{3,4}}
{{},{},{},{1,2},{4},{1,3},{2,6},{3,5}}
{{},{},{},{1,2},{4},{1,3},{2,6},{4,6}}
{{},{},{},{1,2},{4},{1,3},{2,6},{4,7}}
{{},{},{},{1,2},{4},{1,3},{2,6},{5,6}}
{{},{},{},{1,2},{4},{1,3},{2,6},{5,7}}
{{},{},{},{1,2},{4},{1,3},{2,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{3,4},{7}}
{{},{},{},{1,2},{4},{1,3},{3,4},{3,4}}
{{},{},{},{1,2},{4},{1,3},{3,4},{3,5}}
{{},{},{},{1,2},{4},{1,3},{3,4},{4,6}}
{{},{},{},{1,2},{4},{1,3},{3,4},{5,6}}
{{},{},{},{1,2},{4},{1,3},{3,4},{5,7}}
{{},{},{},{1,2},{4},{1,3},{3,4},{6,7}}
{{},{},{},{1,2},{4},{1,3},{3,4},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{3,4},{5,6,7}}
{{},{},{},{1,2},{4},{1,3},{3,5},{7}}
{{},{},{},{1,2},{4},{1,3},{3,5},{3,5}}
{{},{},{},{1,2},{4},{1,3},{3,5},{4,6}}
{{},{},{},{1,2},{4},{1,3},{3,5},{5,6}}
{{},{},{},{1,2},{4},{1,3},{3,5},{6,7}}
{{},{},{},{1,2},{4},{1,3},{3,5},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{4,6},{7}}
{{},{},{},{1,2},{4},{1,3},{4,6},{4,6}}
{{},{},{},{1,2},{4},{1,3},{4,6},{5,6}}
{{},{},{},{1,2},{4},{1,3},{4,6},{5,7}}
{{},{},{},{1,2},{4},{1,3},{4,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{5,6},{7}}
{{},{},{},{1,2},{4},{1,3},{5,6},{5,6}}
{{},{},{},{1,2},{4},{1,3},{5,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{1,2,3},{7}}
{{},{},{},{1,2},{4},{1,3},{1,2,3},{4,7}}
{{},{},{},{1,2},{4},{1,3},{1,2,3},{5,7}}
{{},{},{},{1,2},{4},{1,3},{1,2,3},{6,7}}
{{},{},{},{1,2},{4},{1,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,3},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{4},{1,3},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{4},{3,4},{6},{6}}
{{},{},{},{1,2},{4},{3,4},{6},{7}}
{{},{},{},{1,2},{4},{3,4},{6},{3,4}}
{{},{},{},{1,2},{4},{3,4},{6},{3,5}}
{{},{},{},{1,2},{4},{3,4},{6},{5,6}}
{{},{},{},{1,2},{4},{3,4},{6},{5,7}}
{{},{},{},{1,2},{4},{3,4},{6},{1,2,3}}
{{},{},{},{1,2},{4},{3,4},{3,4},{3,4}}
{{},{},{},{1,2},{4},{3,4},{3,4},{3,5}}
{{},{},{},{1,2},{4},{3,4},{3,4},{5,6}}
{{},{},{},{1,2},{4},{3,4},{3,4},{6,7}}
{{},{},{},{1,2},{4},{3,4},{3,4},{1,2,3}}
{{},{},{},{1,2},{4},{3,4},{3,4},{5,6,7}}
{{},{},{},{1,2},{4},{3,4},{3,5},{7}}
{{},{},{},{1,2},{4},{3,4},{3,5},{3,5}}
{{},{},{},{1,2},{4},{3,4},{3,5},{5,6}}
{{},{},{},{1,2},{4},{3,4},{3,5},{6,7}}
{{},{},{},{1,2},{4},{3,4},{3,5},{1,2,3}}
{{},{},{},{1,2},{4},{3,4},{5,6},{7}}
{{},{},{},{1,2},{4},{3,4},{5,6},{5,6}}
{{},{},{},{1,2},{4},{3,4},{5,6},{1,2,3}}
{{},{},{},{1,2},{4},{3,4},{1,2,3},{7}}
{{},{},{},{1,2},{4},{3,4},{1,2,3},{4,7}}
{{},{},{},{1,2},{4},{3,4},{1,2,3},{5,7}}
{{},{},{},{1,2},{4},{3,4},{1,2,3},{6,7}}
{{},{},{},{1,2},{4},{3,4},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{4},{3,4},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{4},{3,5},{6},{6}}
{{},{},{},{1,2},{4},{3,5},{6},{7}}
{{},{},{},{1,2},{4},{3,5},{6},{3,5}}
{{},{},{},{1,2},{4},{3,5},{6},{1,2,3}}
{{},{},{},{1,2},{4},{3,5},{3,5},{3,5}}
{{},{},{},{1,2},{4},{3,5},{3,5},{6,7}}
{{},{},{},{1,2},{4},{3,5},{3,5},{1,2,3}}
{{},{},{},{1,2},{4},{3,5},{1,2,3},{7}}
{{},{},{},{1,2},{4},{3,5},{1,2,3},{4,7}}
{{},{},{},{1,2},{4},{3,5},{1,2,3},{5,7}}
{{},{},{},{1,2},{4},{3,5},{1,2,3},{6,7}}
{{},{},{},{1,2},{4},{3,5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,2,3},{6},{6}}
{{},{},{},{1,2},{4},{1,2,3},{6},{7}}
{{},{},{},{1,2},{4},{1,2,3},{6},{4,6}}
{{},{},{},{1,2},{4},{1,2,3},{6},{4,7}}
{{},{},{},{1,2},{4},{1,2,3},{6},{5,6}}
{{},{},{},{1,2},{4},{1,2,3},{6},{5,7}}
{{},{},{},{1,2},{4},{1,2,3},{6},{1,2,3}}
{{},{},{},{1,2},{4},{1,2,3},{4,6},{7}}
{{},{},{},{1,2},{4},{1,2,3},{4,6},{4,6}}
{{},{},{},{1,2},{4},{1,2,3},{4,6},{5,6}}
{{},{},{},{1,2},{4},{1,2,3},{4,6},{5,7}}
{{},{},{},{1,2},{4},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,2,3},{5,6},{7}}
{{},{},{},{1,2},{4},{1,2,3},{5,6},{5,6}}
{{},{},{},{1,2},{4},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1,2},{4},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1,2},{4},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{4},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{4},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{1,2}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{1,3}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{3,4}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{4,5}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{1,3}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{2,3}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{2,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{3,4}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{4,5}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{4,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{4,5,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{1,3},{4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{3,4}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{3,5}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{4,5}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{5,6}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{5,7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{3,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{5,6,7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{7}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{3,7}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{4,5}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{4,6}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{6,7}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{3,4,6}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{3,6,7}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{4,5},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{7}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{1,2,3},{4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5},{7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5},{6,7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5},{3,4,6}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{4,5,6},{7}}
{{},{},{},{1,2},{1,2},{1,2},{4,5,6},{3,7}}
{{},{},{},{1,2},{1,2},{1,2},{4,5,6},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{4,5,6},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5,6},{7}}
{{},{},{},{1,2},{1,2},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{2,3}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{2,6}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{4,5}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{4,6}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{2,6,7}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{1,3},{4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{1,7}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{3,4}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{4,5}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{4,6}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{6,7}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{4,6,7}}
{{},{},{},{1,2},{1,2},{1,3},{2,3},{4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{7}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{2,6}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{3,4}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{4,5}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{4,6}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{4,7}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{2,6},{4,5,7}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{7}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{3,4}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{3,5}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{4,5}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{4,6}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{5,6}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{5,7}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{6,7}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{3,4},{5,6,7}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{7}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{3,7}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{4,5}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{4,6}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{6,7}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,3},{4,5},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{4,6},{7}}
{{},{},{},{1,2},{1,2},{1,3},{4,6},{4,6}}
{{},{},{},{1,2},{1,2},{1,3},{4,6},{5,6}}
{{},{},{},{1,2},{1,2},{1,3},{4,6},{5,7}}
{{},{},{},{1,2},{1,2},{1,3},{4,6},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,3},{4,6},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,3},{4,6},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{7}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{1,2},{1,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,3},{3,4,5},{7}}
{{},{},{},{1,2},{1,2},{1,3},{3,4,5},{6,7}}
{{},{},{},{1,2},{1,2},{1,3},{3,4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,3},{3,4,5},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,3},{4,5,6},{7}}
{{},{},{},{1,2},{1,2},{1,3},{4,5,6},{4,5,6}}
{{},{},{},{1,2},{1,2},{3,4},{6},{6}}
{{},{},{},{1,2},{1,2},{3,4},{6},{7}}
{{},{},{},{1,2},{1,2},{3,4},{6},{3,4}}
{{},{},{},{1,2},{1,2},{3,4},{6},{3,5}}
{{},{},{},{1,2},{1,2},{3,4},{6},{4,5}}
{{},{},{},{1,2},{1,2},{3,4},{6},{5,6}}
{{},{},{},{1,2},{1,2},{3,4},{6},{5,7}}
{{},{},{},{1,2},{1,2},{3,4},{6},{1,2,3}}
{{},{},{},{1,2},{1,2},{3,4},{6},{3,4,5}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{3,4}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{3,5}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{4,5}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{5,6}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{6,7}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{1,2,3}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{3,4,5}}
{{},{},{},{1,2},{1,2},{3,4},{3,4},{5,6,7}}
{{},{},{},{1,2},{1,2},{3,4},{3,5},{4,5}}
{{},{},{},{1,2},{1,2},{3,4},{3,5},{4,7}}
{{},{},{},{1,2},{1,2},{3,4},{3,5},{6,7}}
{{},{},{},{1,2},{1,2},{3,4},{3,5},{1,2,3}}
{{},{},{},{1,2},{1,2},{3,4},{3,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{3,4},{4,5},{7}}
{{},{},{},{1,2},{1,2},{3,4},{4,5},{3,7}}
{{},{},{},{1,2},{1,2},{3,4},{4,5},{4,5}}
{{},{},{},{1,2},{1,2},{3,4},{4,5},{5,6}}
{{},{},{},{1,2},{1,2},{3,4},{4,5},{6,7}}
{{},{},{},{1,2},{1,2},{3,4},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,2},{3,4},{4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{3,4},{5,6},{7}}
{{},{},{},{1,2},{1,2},{3,4},{5,6},{5,6}}
{{},{},{},{1,2},{1,2},{3,4},{5,6},{1,2,3}}
{{},{},{},{1,2},{1,2},{3,4},{5,6},{3,4,5}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{7}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{5,7}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{3,4,5}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,2},{3,4},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{1,2},{3,4},{3,4,5},{7}}
{{},{},{},{1,2},{1,2},{3,4},{3,4,5},{6,7}}
{{},{},{},{1,2},{1,2},{3,4},{3,4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{4,5},{6},{6}}
{{},{},{},{1,2},{1,2},{4,5},{6},{7}}
{{},{},{},{1,2},{1,2},{4,5},{6},{3,6}}
{{},{},{},{1,2},{1,2},{4,5},{6},{3,7}}
{{},{},{},{1,2},{1,2},{4,5},{6},{4,5}}
{{},{},{},{1,2},{1,2},{4,5},{6},{1,2,3}}
{{},{},{},{1,2},{1,2},{4,5},{6},{3,4,5}}
{{},{},{},{1,2},{1,2},{4,5},{3,6},{7}}
{{},{},{},{1,2},{1,2},{4,5},{3,6},{3,6}}
{{},{},{},{1,2},{1,2},{4,5},{3,6},{4,5}}
{{},{},{},{1,2},{1,2},{4,5},{3,6},{1,2,3}}
{{},{},{},{1,2},{1,2},{4,5},{3,6},{3,4,5}}
{{},{},{},{1,2},{1,2},{4,5},{4,5},{4,5}}
{{},{},{},{1,2},{1,2},{4,5},{4,5},{6,7}}
{{},{},{},{1,2},{1,2},{4,5},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,2},{4,5},{4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{4,5},{4,5},{3,6,7}}
{{},{},{},{1,2},{1,2},{4,5},{1,2,3},{7}}
{{},{},{},{1,2},{1,2},{4,5},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,2},{4,5},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,2},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{4,5},{1,2,3},{3,4,5}}
{{},{},{},{1,2},{1,2},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,2},{4,5},{3,4,5},{7}}
{{},{},{},{1,2},{1,2},{4,5},{3,4,5},{6,7}}
{{},{},{},{1,2},{1,2},{4,5},{3,4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{6}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{7}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{4,6}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{4,7}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2,3},{6},{4,5,7}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,6},{7}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,6},{4,6}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,6},{5,6}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,6},{5,7}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,6},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,2},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2},{1,2,3},{1,2,3},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{1,2},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1,2},{1,2},{1,2,3},{3,4,5},{7}}
{{},{},{},{1,2},{1,2},{1,2,3},{3,4,5},{6,7}}
{{},{},{},{1,2},{1,2},{1,2,3},{3,4,5},{3,4,5}}
{{},{},{},{1,2},{1,2},{1,2,3},{3,4,5},{4,5,6}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,5,6},{7}}
{{},{},{},{1,2},{1,2},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1,2},{1,2},{3,4,5},{6},{6}}
{{},{},{},{1,2},{1,2},{3,4,5},{6},{7}}
{{},{},{},{1,2},{1,2},{3,4,5},{6},{3,4,5}}
{{},{},{},{1,2},{1,2},{3,4,5},{3,4,5},{6,7}}
{{},{},{},{1,2},{1,2},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{7}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{1,6}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{2,5}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{4,5}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{4,6}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{4,7}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{4,5,6}}
{{},{},{},{1,2},{1,3},{2,3},{1,6},{4,5,7}}
{{},{},{},{1,2},{1,3},{2,3},{4,5},{7}}
{{},{},{},{1,2},{1,3},{2,3},{4,5},{4,5}}
{{},{},{},{1,2},{1,3},{2,3},{4,5},{4,6}}
{{},{},{},{1,2},{1,3},{2,3},{4,5},{6,7}}
{{},{},{},{1,2},{1,3},{2,3},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,3},{4,5},{4,5,6}}
{{},{},{},{1,2},{1,3},{2,3},{1,2,3},{7}}
{{},{},{},{1,2},{1,3},{2,3},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,3},{2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,3},{1,2,3},{4,5,6}}
{{},{},{},{1,2},{1,3},{2,3},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,3},{2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1,2},{1,3},{2,3},{4,5,6},{7}}
{{},{},{},{1,2},{1,3},{2,3},{4,5,6},{4,5,6}}
{{},{},{},{1,2},{1,3},{2,5},{6},{6}}
{{},{},{},{1,2},{1,3},{2,5},{6},{7}}
{{},{},{},{1,2},{1,3},{2,5},{6},{2,5}}
{{},{},{},{1,2},{1,3},{2,5},{6},{3,4}}
{{},{},{},{1,2},{1,3},{2,5},{6},{4,5}}
{{},{},{},{1,2},{1,3},{2,5},{6},{4,6}}
{{},{},{},{1,2},{1,3},{2,5},{6},{4,7}}
{{},{},{},{1,2},{1,3},{2,5},{6},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,5},{2,5},{2,5}}
{{},{},{},{1,2},{1,3},{2,5},{2,5},{3,4}}
{{},{},{},{1,2},{1,3},{2,5},{2,5},{4,5}}
{{},{},{},{1,2},{1,3},{2,5},{2,5},{4,6}}
{{},{},{},{1,2},{1,3},{2,5},{2,5},{6,7}}
{{},{},{},{1,2},{1,3},{2,5},{2,5},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,5},{2,5},{4,6,7}}
{{},{},{},{1,2},{1,3},{2,5},{3,4},{4,5}}
{{},{},{},{1,2},{1,3},{2,5},{3,4},{4,6}}
{{},{},{},{1,2},{1,3},{2,5},{3,4},{6,7}}
{{},{},{},{1,2},{1,3},{2,5},{3,4},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,5},{4,5},{7}}
{{},{},{},{1,2},{1,3},{2,5},{4,5},{4,5}}
{{},{},{},{1,2},{1,3},{2,5},{4,5},{4,6}}
{{},{},{},{1,2},{1,3},{2,5},{4,5},{6,7}}
{{},{},{},{1,2},{1,3},{2,5},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,5},{4,6},{7}}
{{},{},{},{1,2},{1,3},{2,5},{4,6},{4,6}}
{{},{},{},{1,2},{1,3},{2,5},{4,6},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,5},{1,2,3},{7}}
{{},{},{},{1,2},{1,3},{2,5},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,3},{2,5},{1,2,3},{5,7}}
{{},{},{},{1,2},{1,3},{2,5},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,3},{2,5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,3},{2,5},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,3},{2,5},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{1,3},{4,5},{6},{6}}
{{},{},{},{1,2},{1,3},{4,5},{6},{7}}
{{},{},{},{1,2},{1,3},{4,5},{6},{4,5}}
{{},{},{},{1,2},{1,3},{4,5},{6},{1,2,3}}
{{},{},{},{1,2},{1,3},{4,5},{4,5},{4,5}}
{{},{},{},{1,2},{1,3},{4,5},{4,5},{6,7}}
{{},{},{},{1,2},{1,3},{4,5},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,3},{4,5},{1,2,3},{7}}
{{},{},{},{1,2},{1,3},{4,5},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,3},{4,5},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,3},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,3},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,3},{1,2,3},{6},{6}}
{{},{},{},{1,2},{1,3},{1,2,3},{6},{7}}
{{},{},{},{1,2},{1,3},{1,2,3},{6},{4,6}}
{{},{},{},{1,2},{1,3},{1,2,3},{6},{4,7}}
{{},{},{},{1,2},{1,3},{1,2,3},{6},{1,2,3}}
{{},{},{},{1,2},{1,3},{1,2,3},{6},{4,5,6}}
{{},{},{},{1,2},{1,3},{1,2,3},{6},{4,5,7}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,6},{7}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,6},{4,6}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,6},{5,6}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,6},{5,7}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,6},{4,5,6}}
{{},{},{},{1,2},{1,3},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,3},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,3},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1,2},{1,3},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{1,3},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,5,6},{7}}
{{},{},{},{1,2},{1,3},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1,2},{3,4},{5},{5},{5}}
{{},{},{},{1,2},{3,4},{5},{5},{6}}
{{},{},{},{1,2},{3,4},{5},{5},{3,4}}
{{},{},{},{1,2},{3,4},{5},{5},{6,7}}
{{},{},{},{1,2},{3,4},{5},{5},{1,2,3}}
{{},{},{},{1,2},{3,4},{5},{6},{6}}
{{},{},{},{1,2},{3,4},{5},{6},{7}}
{{},{},{},{1,2},{3,4},{5},{6},{3,4}}
{{},{},{},{1,2},{3,4},{5},{6},{1,2,3}}
{{},{},{},{1,2},{3,4},{5},{3,4},{7}}
{{},{},{},{1,2},{3,4},{5},{3,4},{3,4}}
{{},{},{},{1,2},{3,4},{5},{3,4},{5,7}}
{{},{},{},{1,2},{3,4},{5},{3,4},{6,7}}
{{},{},{},{1,2},{3,4},{5},{3,4},{1,2,3}}
{{},{},{},{1,2},{3,4},{5},{1,2,3},{7}}
{{},{},{},{1,2},{3,4},{5},{1,2,3},{4,7}}
{{},{},{},{1,2},{3,4},{5},{1,2,3},{5,7}}
{{},{},{},{1,2},{3,4},{5},{1,2,3},{6,7}}
{{},{},{},{1,2},{3,4},{5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{3,4},{3,4},{3,4},{3,4}}
{{},{},{},{1,2},{3,4},{3,4},{3,4},{5,6}}
{{},{},{},{1,2},{3,4},{3,4},{3,4},{1,2,3}}
{{},{},{},{1,2},{3,4},{3,4},{3,4},{5,6,7}}
{{},{},{},{1,2},{3,4},{3,4},{5,6},{7}}
{{},{},{},{1,2},{3,4},{3,4},{5,6},{5,6}}
{{},{},{},{1,2},{3,4},{3,4},{5,6},{1,2,3}}
{{},{},{},{1,2},{3,4},{3,4},{1,2,3},{7}}
{{},{},{},{1,2},{3,4},{3,4},{1,2,3},{4,7}}
{{},{},{},{1,2},{3,4},{3,4},{1,2,3},{5,7}}
{{},{},{},{1,2},{3,4},{3,4},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{3,4},{3,4},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{3,4},{1,2,3},{6},{6}}
{{},{},{},{1,2},{3,4},{1,2,3},{6},{7}}
{{},{},{},{1,2},{3,4},{1,2,3},{6},{4,6}}
{{},{},{},{1,2},{3,4},{1,2,3},{6},{4,7}}
{{},{},{},{1,2},{3,4},{1,2,3},{6},{5,6}}
{{},{},{},{1,2},{3,4},{1,2,3},{6},{5,7}}
{{},{},{},{1,2},{3,4},{1,2,3},{6},{1,2,3}}
{{},{},{},{1,2},{3,4},{1,2,3},{4,6},{7}}
{{},{},{},{1,2},{3,4},{1,2,3},{4,6},{4,6}}
{{},{},{},{1,2},{3,4},{1,2,3},{4,6},{5,6}}
{{},{},{},{1,2},{3,4},{1,2,3},{4,6},{5,7}}
{{},{},{},{1,2},{3,4},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1,2},{3,4},{1,2,3},{5,6},{7}}
{{},{},{},{1,2},{3,4},{1,2,3},{5,6},{5,6}}
{{},{},{},{1,2},{3,4},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1,2},{3,4},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1,2},{3,4},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{3,4},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{3,4},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{1,2,3},{5},{5},{5}}
{{},{},{},{1,2},{1,2,3},{5},{5},{6}}
{{},{},{},{1,2},{1,2,3},{5},{5},{4,5}}
{{},{},{},{1,2},{1,2,3},{5},{5},{4,6}}
{{},{},{},{1,2},{1,2,3},{5},{5},{6,7}}
{{},{},{},{1,2},{1,2,3},{5},{5},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{5},{5},{4,6,7}}
{{},{},{},{1,2},{1,2,3},{5},{6},{6}}
{{},{},{},{1,2},{1,2,3},{5},{6},{7}}
{{},{},{},{1,2},{1,2,3},{5},{6},{4,5}}
{{},{},{},{1,2},{1,2,3},{5},{6},{4,6}}
{{},{},{},{1,2},{1,2,3},{5},{6},{4,7}}
{{},{},{},{1,2},{1,2,3},{5},{6},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{5},{4,5},{7}}
{{},{},{},{1,2},{1,2,3},{5},{4,5},{4,5}}
{{},{},{},{1,2},{1,2,3},{5},{4,5},{4,6}}
{{},{},{},{1,2},{1,2,3},{5},{4,5},{6,7}}
{{},{},{},{1,2},{1,2,3},{5},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{5},{4,6},{7}}
{{},{},{},{1,2},{1,2,3},{5},{4,6},{4,6}}
{{},{},{},{1,2},{1,2,3},{5},{4,6},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{5},{1,2,3},{7}}
{{},{},{},{1,2},{1,2,3},{5},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,2,3},{5},{1,2,3},{5,7}}
{{},{},{},{1,2},{1,2,3},{5},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,2,3},{5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{5},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,2,3},{5},{1,2,3},{4,6,7}}
{{},{},{},{1,2},{1,2,3},{4,5},{6},{6}}
{{},{},{},{1,2},{1,2,3},{4,5},{6},{7}}
{{},{},{},{1,2},{1,2,3},{4,5},{6},{4,5}}
{{},{},{},{1,2},{1,2,3},{4,5},{6},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{4,5},{4,5},{4,5}}
{{},{},{},{1,2},{1,2,3},{4,5},{4,5},{6,7}}
{{},{},{},{1,2},{1,2,3},{4,5},{4,5},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{4,5},{1,2,3},{4,7}}
{{},{},{},{1,2},{1,2,3},{4,5},{1,2,3},{5,7}}
{{},{},{},{1,2},{1,2,3},{4,5},{1,2,3},{6,7}}
{{},{},{},{1,2},{1,2,3},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{5,6},{7}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{5,6},{4,7}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{5,6},{5,6}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{5,6},{4,5,6}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{4,5,6},{7}}
{{},{},{},{1,2},{1,2,3},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{},{1,2,3},{4},{4},{4},{4}}
{{},{},{},{1,2,3},{4},{4},{4},{5}}
{{},{},{},{1,2,3},{4},{4},{4},{5,6}}
{{},{},{},{1,2,3},{4},{4},{4},{1,2,3}}
{{},{},{},{1,2,3},{4},{4},{4},{5,6,7}}
{{},{},{},{1,2,3},{4},{4},{5},{5}}
{{},{},{},{1,2,3},{4},{4},{5},{6}}
{{},{},{},{1,2,3},{4},{4},{5},{7}}
{{},{},{},{1,2,3},{4},{4},{5},{5,6}}
{{},{},{},{1,2,3},{4},{4},{5},{6,7}}
{{},{},{},{1,2,3},{4},{4},{5},{1,2,3}}
{{},{},{},{1,2,3},{4},{4},{5,6},{7}}
{{},{},{},{1,2,3},{4},{4},{5,6},{5,6}}
{{},{},{},{1,2,3},{4},{4},{5,6},{1,2,3}}
{{},{},{},{1,2,3},{4},{4},{1,2,3},{7}}
{{},{},{},{1,2,3},{4},{4},{1,2,3},{4,7}}
{{},{},{},{1,2,3},{4},{4},{1,2,3},{5,7}}
{{},{},{},{1,2,3},{4},{4},{1,2,3},{1,2,3}}
{{},{},{},{1,2,3},{4},{4},{1,2,3},{5,6,7}}
{{},{},{},{1,2,3},{4},{5},{5},{5}}
{{},{},{},{1,2,3},{4},{5},{5},{6}}
{{},{},{},{1,2,3},{4},{5},{5},{6,7}}
{{},{},{},{1,2,3},{4},{5},{5},{1,2,3}}
{{},{},{},{1,2,3},{4},{5},{6},{6}}
{{},{},{},{1,2,3},{4},{5},{6},{7}}
{{},{},{},{1,2,3},{4},{5},{6},{1,2,3}}
{{},{},{},{1,2,3},{4},{5},{1,2,3},{7}}
{{},{},{},{1,2,3},{4},{5},{1,2,3},{4,7}}
{{},{},{},{1,2,3},{4},{5},{1,2,3},{5,7}}
{{},{},{},{1,2,3},{4},{5},{1,2,3},{6,7}}
{{},{},{},{1,2,3},{4},{5},{1,2,3},{1,2,3}}
{{},{},{},{1,2,3},{4},{1,2,3},{6},{4,6}}
{{},{},{},{1,2,3},{4},{1,2,3},{6},{4,7}}
{{},{},{},{1,2,3},{4},{1,2,3},{6},{5,7}}
{{},{},{},{1,2,3},{4},{1,2,3},{6},{1,2,3}}
{{},{},{},{1,2,3},{4},{1,2,3},{4,6},{7}}
{{},{},{},{1,2,3},{4},{1,2,3},{4,6},{4,6}}
{{},{},{},{1,2,3},{4},{1,2,3},{4,6},{5,6}}
{{},{},{},{1,2,3},{4},{1,2,3},{4,6},{5,7}}
{{},{},{},{1,2,3},{4},{1,2,3},{4,6},{1,2,3}}
{{},{},{},{1,2,3},{4},{1,2,3},{5,6},{7}}
{{},{},{},{1,2,3},{4},{1,2,3},{5,6},{5,6}}
{{},{},{},{1,2,3},{4},{1,2,3},{5,6},{1,2,3}}
{{},{},{},{1,2,3},{4},{1,2,3},{1,2,3},{6,7}}
{{},{},{},{1,2,3},{4},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2,3},{4},{1,2,3},{1,2,3},{4,6,7}}
{{},{},{},{1,2,3},{4},{1,2,3},{1,2,3},{5,6,7}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{6},{6}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{6},{7}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{6},{4,5}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{6},{1,2,3}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{4,5},{4,5}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{4,5},{6,7}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{4,5},{1,2,3}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{1,2,3},{4,7}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{1,2,3},{6,7}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{1,2,3},{1,2,3}}
{{},{},{},{1,2,3},{1,2,3},{4,5},{1,2,3},{4,5,7}}
{{},{},{},{1,2,3},{1,2,3},{1,2,3},{1,2,3},{1,2,3}}
{{},{},{},{1,2,3},{1,2,3},{1,2,3},{1,2,3},{4,5,6}}
{{},{},{},{1,2,3},{1,2,3},{1,2,3},{1,2,3},{4,5,6,7}}
{{},{},{},{1,2,3},{1,2,3},{1,2,3},{4,5,6},{7}}
{{},{},{},{1,2,3},{1,2,3},{1,2,3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{1},{1},{1},{1}}
{{},{},{1},{1},{1},{1},{1},{2}}
{{},{},{1},{1},{1},{1},{1},{3}}
{{},{},{1},{1},{1},{1},{1},{1,2}}
{{},{},{1},{1},{1},{1},{1},{2,3}}
{{},{},{1},{1},{1},{1},{1},{3,4}}
{{},{},{1},{1},{1},{1},{1},{2,3,4}}
{{},{},{1},{1},{1},{1},{1},{3,4,5}}
{{},{},{1},{1},{1},{1},{1},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{1},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{1},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{1},{3,4,5,6,7}}
{{},{},{1},{1},{1},{1},{1},{2,3,4,5,6,7}}
{{},{},{1},{1},{1},{1},{2},{2}}
{{},{},{1},{1},{1},{1},{2},{3}}
{{},{},{1},{1},{1},{1},{2},{7}}
{{},{},{1},{1},{1},{1},{2},{1,2}}
{{},{},{1},{1},{1},{1},{2},{1,7}}
{{},{},{1},{1},{1},{1},{2},{2,3}}
{{},{},{1},{1},{1},{1},{2},{3,4}}
{{},{},{1},{1},{1},{1},{2},{3,7}}
{{},{},{1},{1},{1},{1},{2},{2,3,4}}
{{},{},{1},{1},{1},{1},{2},{3,4,5}}
{{},{},{1},{1},{1},{1},{2},{3,4,7}}
{{},{},{1},{1},{1},{1},{2},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{2},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{2},{3,4,5,7}}
{{},{},{1},{1},{1},{1},{2},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{2},{3,4,5,6,7}}
{{},{},{1},{1},{1},{1},{3},{3}}
{{},{},{1},{1},{1},{1},{3},{4}}
{{},{},{1},{1},{1},{1},{3},{7}}
{{},{},{1},{1},{1},{1},{3},{1,2}}
{{},{},{1},{1},{1},{1},{3},{2,3}}
{{},{},{1},{1},{1},{1},{3},{2,4}}
{{},{},{1},{1},{1},{1},{3},{2,7}}
{{},{},{1},{1},{1},{1},{3},{3,4}}
{{},{},{1},{1},{1},{1},{3},{4,5}}
{{},{},{1},{1},{1},{1},{3},{4,7}}
{{},{},{1},{1},{1},{1},{3},{2,3,4}}
{{},{},{1},{1},{1},{1},{3},{2,4,5}}
{{},{},{1},{1},{1},{1},{3},{2,4,7}}
{{},{},{1},{1},{1},{1},{3},{3,4,5}}
{{},{},{1},{1},{1},{1},{3},{4,5,6}}
{{},{},{1},{1},{1},{1},{3},{4,5,7}}
{{},{},{1},{1},{1},{1},{3},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{3},{2,4,5,6}}
{{},{},{1},{1},{1},{1},{3},{2,4,5,7}}
{{},{},{1},{1},{1},{1},{3},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{3},{4,5,6,7}}
{{},{},{1},{1},{1},{1},{3},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{3},{2,4,5,6,7}}
{{},{},{1},{1},{1},{1},{1,2},{7}}
{{},{},{1},{1},{1},{1},{1,2},{1,2}}
{{},{},{1},{1},{1},{1},{1,2},{2,3}}
{{},{},{1},{1},{1},{1},{1,2},{3,4}}
{{},{},{1},{1},{1},{1},{1,2},{3,7}}
{{},{},{1},{1},{1},{1},{1,2},{2,3,4}}
{{},{},{1},{1},{1},{1},{1,2},{3,4,5}}
{{},{},{1},{1},{1},{1},{1,2},{3,4,7}}
{{},{},{1},{1},{1},{1},{1,2},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{1,2},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{1,2},{3,4,5,7}}
{{},{},{1},{1},{1},{1},{1,2},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{1,2},{3,4,5,6,7}}
{{},{},{1},{1},{1},{1},{2,3},{7}}
{{},{},{1},{1},{1},{1},{2,3},{2,3}}
{{},{},{1},{1},{1},{1},{2,3},{2,4}}
{{},{},{1},{1},{1},{1},{2,3},{3,4}}
{{},{},{1},{1},{1},{1},{2,3},{4,5}}
{{},{},{1},{1},{1},{1},{2,3},{4,7}}
{{},{},{1},{1},{1},{1},{2,3},{2,3,4}}
{{},{},{1},{1},{1},{1},{2,3},{2,4,5}}
{{},{},{1},{1},{1},{1},{2,3},{3,4,5}}
{{},{},{1},{1},{1},{1},{2,3},{4,5,6}}
{{},{},{1},{1},{1},{1},{2,3},{4,5,7}}
{{},{},{1},{1},{1},{1},{2,3},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{2,3},{2,4,5,6}}
{{},{},{1},{1},{1},{1},{2,3},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{2,3},{4,5,6,7}}
{{},{},{1},{1},{1},{1},{2,3},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{3,4},{7}}
{{},{},{1},{1},{1},{1},{3,4},{2,7}}
{{},{},{1},{1},{1},{1},{3,4},{3,4}}
{{},{},{1},{1},{1},{1},{3,4},{3,5}}
{{},{},{1},{1},{1},{1},{3,4},{5,6}}
{{},{},{1},{1},{1},{1},{3,4},{5,7}}
{{},{},{1},{1},{1},{1},{3,4},{2,3,4}}
{{},{},{1},{1},{1},{1},{3,4},{2,3,5}}
{{},{},{1},{1},{1},{1},{3,4},{2,5,6}}
{{},{},{1},{1},{1},{1},{3,4},{2,5,7}}
{{},{},{1},{1},{1},{1},{3,4},{3,4,5}}
{{},{},{1},{1},{1},{1},{3,4},{3,5,6}}
{{},{},{1},{1},{1},{1},{3,4},{5,6,7}}
{{},{},{1},{1},{1},{1},{3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{3,4},{2,3,5,6}}
{{},{},{1},{1},{1},{1},{3,4},{2,5,6,7}}
{{},{},{1},{1},{1},{1},{3,4},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{3,4},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4},{7}}
{{},{},{1},{1},{1},{1},{2,3,4},{5,7}}
{{},{},{1},{1},{1},{1},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1},{1},{2,3,4},{2,3,5}}
{{},{},{1},{1},{1},{1},{2,3,4},{2,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1},{1},{2,3,4},{3,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1},{1},{2,3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{2,3,4},{2,3,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{3,4,5},{7}}
{{},{},{1},{1},{1},{1},{3,4,5},{2,7}}
{{},{},{1},{1},{1},{1},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{1},{3,4,5},{2,6,7}}
{{},{},{1},{1},{1},{1},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{1},{3,4,5},{3,4,6}}
{{},{},{1},{1},{1},{1},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{3,4,5},{2,3,4,6}}
{{},{},{1},{1},{1},{1},{3,4,5},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{3,4,5},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{1},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{1},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{1},{2,3,4,5},{2,3,4,6}}
{{},{},{1},{1},{1},{1},{2,3,4,5},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4,5},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{3,4,5,6},{7}}
{{},{},{1},{1},{1},{1},{3,4,5,6},{2,7}}
{{},{},{1},{1},{1},{1},{3,4,5,6},{3,4,5,6}}
{{},{},{1},{1},{1},{1},{3,4,5,6},{2,3,4,5,6}}
{{},{},{1},{1},{1},{1},{2,3,4,5,6},{7}}
{{},{},{1},{1},{1},{1},{2,3,4,5,6},{2,3,4,5,6}}
{{},{},{1},{1},{1},{2},{2},{2}}
{{},{},{1},{1},{1},{2},{2},{3}}
{{},{},{1},{1},{1},{2},{2},{6}}
{{},{},{1},{1},{1},{2},{2},{1,2}}
{{},{},{1},{1},{1},{2},{2},{1,6}}
{{},{},{1},{1},{1},{2},{2},{2,3}}
{{},{},{1},{1},{1},{2},{2},{3,4}}
{{},{},{1},{1},{1},{2},{2},{3,6}}
{{},{},{1},{1},{1},{2},{2},{6,7}}
{{},{},{1},{1},{1},{2},{2},{1,6,7}}
{{},{},{1},{1},{1},{2},{2},{2,3,4}}
{{},{},{1},{1},{1},{2},{2},{3,4,5}}
{{},{},{1},{1},{1},{2},{2},{3,4,6}}
{{},{},{1},{1},{1},{2},{2},{3,6,7}}
{{},{},{1},{1},{1},{2},{2},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{2},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{2},{3,4,6,7}}
{{},{},{1},{1},{1},{2},{2},{3,4,5,6,7}}
{{},{},{1},{1},{1},{2},{3},{3}}
{{},{},{1},{1},{1},{2},{3},{4}}
{{},{},{1},{1},{1},{2},{3},{6}}
{{},{},{1},{1},{1},{2},{3},{7}}
{{},{},{1},{1},{1},{2},{3},{1,2}}
{{},{},{1},{1},{1},{2},{3},{1,6}}
{{},{},{1},{1},{1},{2},{3},{2,3}}
{{},{},{1},{1},{1},{2},{3},{2,4}}
{{},{},{1},{1},{1},{2},{3},{2,7}}
{{},{},{1},{1},{1},{2},{3},{3,4}}
{{},{},{1},{1},{1},{2},{3},{3,6}}
{{},{},{1},{1},{1},{2},{3},{4,5}}
{{},{},{1},{1},{1},{2},{3},{4,6}}
{{},{},{1},{1},{1},{2},{3},{4,7}}
{{},{},{1},{1},{1},{2},{3},{6,7}}
{{},{},{1},{1},{1},{2},{3},{2,3,4}}
{{},{},{1},{1},{1},{2},{3},{2,4,5}}
{{},{},{1},{1},{1},{2},{3},{2,4,7}}
{{},{},{1},{1},{1},{2},{3},{3,4,5}}
{{},{},{1},{1},{1},{2},{3},{3,4,6}}
{{},{},{1},{1},{1},{2},{3},{4,5,6}}
{{},{},{1},{1},{1},{2},{3},{4,5,7}}
{{},{},{1},{1},{1},{2},{3},{4,6,7}}
{{},{},{1},{1},{1},{2},{3},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{3},{2,4,5,7}}
{{},{},{1},{1},{1},{2},{3},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{3},{4,5,6,7}}
{{},{},{1},{1},{1},{2},{6},{6}}
{{},{},{1},{1},{1},{2},{6},{7}}
{{},{},{1},{1},{1},{2},{6},{1,2}}
{{},{},{1},{1},{1},{2},{6},{1,6}}
{{},{},{1},{1},{1},{2},{6},{1,7}}
{{},{},{1},{1},{1},{2},{6},{2,3}}
{{},{},{1},{1},{1},{2},{6},{3,4}}
{{},{},{1},{1},{1},{2},{6},{3,6}}
{{},{},{1},{1},{1},{2},{6},{3,7}}
{{},{},{1},{1},{1},{2},{6},{2,3,4}}
{{},{},{1},{1},{1},{2},{6},{3,4,5}}
{{},{},{1},{1},{1},{2},{6},{3,4,6}}
{{},{},{1},{1},{1},{2},{6},{3,4,7}}
{{},{},{1},{1},{1},{2},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{6},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{6},{3,4,5,7}}
{{},{},{1},{1},{1},{2},{1,2},{7}}
{{},{},{1},{1},{1},{2},{1,2},{1,2}}
{{},{},{1},{1},{1},{2},{1,2},{1,6}}
{{},{},{1},{1},{1},{2},{1,2},{2,3}}
{{},{},{1},{1},{1},{2},{1,2},{3,4}}
{{},{},{1},{1},{1},{2},{1,2},{3,6}}
{{},{},{1},{1},{1},{2},{1,2},{3,7}}
{{},{},{1},{1},{1},{2},{1,2},{6,7}}
{{},{},{1},{1},{1},{2},{1,2},{2,3,4}}
{{},{},{1},{1},{1},{2},{1,2},{3,4,5}}
{{},{},{1},{1},{1},{2},{1,2},{3,4,6}}
{{},{},{1},{1},{1},{2},{1,2},{3,4,7}}
{{},{},{1},{1},{1},{2},{1,2},{3,6,7}}
{{},{},{1},{1},{1},{2},{1,2},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{1,2},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{1,2},{3,4,5,7}}
{{},{},{1},{1},{1},{2},{1,2},{3,4,6,7}}
{{},{},{1},{1},{1},{2},{1,2},{3,4,5,6,7}}
{{},{},{1},{1},{1},{2},{1,6},{7}}
{{},{},{1},{1},{1},{2},{1,6},{1,6}}
{{},{},{1},{1},{1},{2},{1,6},{2,3}}
{{},{},{1},{1},{1},{2},{1,6},{3,4}}
{{},{},{1},{1},{1},{2},{1,6},{3,6}}
{{},{},{1},{1},{1},{2},{1,6},{3,7}}
{{},{},{1},{1},{1},{2},{1,6},{2,3,4}}
{{},{},{1},{1},{1},{2},{1,6},{3,4,5}}
{{},{},{1},{1},{1},{2},{1,6},{3,4,6}}
{{},{},{1},{1},{1},{2},{1,6},{3,4,7}}
{{},{},{1},{1},{1},{2},{1,6},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{1,6},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{1,6},{3,4,5,7}}
{{},{},{1},{1},{1},{2},{2,3},{7}}
{{},{},{1},{1},{1},{2},{2,3},{2,3}}
{{},{},{1},{1},{1},{2},{2,3},{2,4}}
{{},{},{1},{1},{1},{2},{2,3},{3,4}}
{{},{},{1},{1},{1},{2},{2,3},{3,6}}
{{},{},{1},{1},{1},{2},{2,3},{4,5}}
{{},{},{1},{1},{1},{2},{2,3},{4,6}}
{{},{},{1},{1},{1},{2},{2,3},{4,7}}
{{},{},{1},{1},{1},{2},{2,3},{6,7}}
{{},{},{1},{1},{1},{2},{2,3},{2,3,4}}
{{},{},{1},{1},{1},{2},{2,3},{2,4,5}}
{{},{},{1},{1},{1},{2},{2,3},{3,4,5}}
{{},{},{1},{1},{1},{2},{2,3},{3,4,6}}
{{},{},{1},{1},{1},{2},{2,3},{4,5,6}}
{{},{},{1},{1},{1},{2},{2,3},{4,5,7}}
{{},{},{1},{1},{1},{2},{2,3},{4,6,7}}
{{},{},{1},{1},{1},{2},{2,3},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{2,3},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{2,3},{4,5,6,7}}
{{},{},{1},{1},{1},{2},{3,4},{7}}
{{},{},{1},{1},{1},{2},{3,4},{2,7}}
{{},{},{1},{1},{1},{2},{3,4},{3,4}}
{{},{},{1},{1},{1},{2},{3,4},{3,5}}
{{},{},{1},{1},{1},{2},{3,4},{3,6}}
{{},{},{1},{1},{1},{2},{3,4},{5,6}}
{{},{},{1},{1},{1},{2},{3,4},{5,7}}
{{},{},{1},{1},{1},{2},{3,4},{6,7}}
{{},{},{1},{1},{1},{2},{3,4},{2,3,4}}
{{},{},{1},{1},{1},{2},{3,4},{2,3,5}}
{{},{},{1},{1},{1},{2},{3,4},{2,5,7}}
{{},{},{1},{1},{1},{2},{3,4},{3,4,5}}
{{},{},{1},{1},{1},{2},{3,4},{3,4,6}}
{{},{},{1},{1},{1},{2},{3,4},{3,5,6}}
{{},{},{1},{1},{1},{2},{3,4},{5,6,7}}
{{},{},{1},{1},{1},{2},{3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{3,4},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{3,6},{7}}
{{},{},{1},{1},{1},{2},{3,6},{3,6}}
{{},{},{1},{1},{1},{2},{3,6},{4,6}}
{{},{},{1},{1},{1},{2},{3,6},{4,7}}
{{},{},{1},{1},{1},{2},{3,6},{2,3,4}}
{{},{},{1},{1},{1},{2},{3,6},{2,4,5}}
{{},{},{1},{1},{1},{2},{3,6},{3,4,5}}
{{},{},{1},{1},{1},{2},{3,6},{3,4,6}}
{{},{},{1},{1},{1},{2},{3,6},{4,5,6}}
{{},{},{1},{1},{1},{2},{3,6},{4,5,7}}
{{},{},{1},{1},{1},{2},{3,6},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{3,6},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{2,3,4},{7}}
{{},{},{1},{1},{1},{2},{2,3,4},{5,7}}
{{},{},{1},{1},{1},{2},{2,3,4},{6,7}}
{{},{},{1},{1},{1},{2},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1},{2},{2,3,4},{2,3,5}}
{{},{},{1},{1},{1},{2},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1},{2},{2,3,4},{3,4,6}}
{{},{},{1},{1},{1},{2},{2,3,4},{3,5,6}}
{{},{},{1},{1},{1},{2},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1},{2},{2,3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{2,3,4},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{3,4,5},{7}}
{{},{},{1},{1},{1},{2},{3,4,5},{2,7}}
{{},{},{1},{1},{1},{2},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{2},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{2},{3,4,5},{3,4,6}}
{{},{},{1},{1},{1},{2},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{3,4,5},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{3,4,6},{7}}
{{},{},{1},{1},{1},{2},{3,4,6},{5,7}}
{{},{},{1},{1},{1},{2},{3,4,6},{3,4,6}}
{{},{},{1},{1},{1},{2},{3,4,6},{3,5,6}}
{{},{},{1},{1},{1},{2},{3,4,6},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{3,4,6},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{2},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{2},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2},{2,3,4,5},{3,4,5,6}}
{{},{},{1},{1},{1},{2},{3,4,5,6},{7}}
{{},{},{1},{1},{1},{2},{3,4,5,6},{3,4,5,6}}
{{},{},{1},{1},{1},{3},{3},{3}}
{{},{},{1},{1},{1},{3},{3},{4}}
{{},{},{1},{1},{1},{3},{3},{6}}
{{},{},{1},{1},{1},{3},{3},{1,2}}
{{},{},{1},{1},{1},{3},{3},{2,3}}
{{},{},{1},{1},{1},{3},{3},{2,4}}
{{},{},{1},{1},{1},{3},{3},{2,6}}
{{},{},{1},{1},{1},{3},{3},{3,4}}
{{},{},{1},{1},{1},{3},{3},{4,5}}
{{},{},{1},{1},{1},{3},{3},{4,6}}
{{},{},{1},{1},{1},{3},{3},{6,7}}
{{},{},{1},{1},{1},{3},{3},{2,3,4}}
{{},{},{1},{1},{1},{3},{3},{2,4,5}}
{{},{},{1},{1},{1},{3},{3},{2,4,6}}
{{},{},{1},{1},{1},{3},{3},{2,6,7}}
{{},{},{1},{1},{1},{3},{3},{3,4,5}}
{{},{},{1},{1},{1},{3},{3},{4,5,6}}
{{},{},{1},{1},{1},{3},{3},{4,6,7}}
{{},{},{1},{1},{1},{3},{3},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{3},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{3},{2,4,6,7}}
{{},{},{1},{1},{1},{3},{3},{4,5,6,7}}
{{},{},{1},{1},{1},{3},{3},{2,4,5,6,7}}
{{},{},{1},{1},{1},{3},{4},{5}}
{{},{},{1},{1},{1},{3},{4},{6}}
{{},{},{1},{1},{1},{3},{4},{1,2}}
{{},{},{1},{1},{1},{3},{4},{2,3}}
{{},{},{1},{1},{1},{3},{4},{2,5}}
{{},{},{1},{1},{1},{3},{4},{2,6}}
{{},{},{1},{1},{1},{3},{4},{3,4}}
{{},{},{1},{1},{1},{3},{4},{3,5}}
{{},{},{1},{1},{1},{3},{4},{3,7}}
{{},{},{1},{1},{1},{3},{4},{5,6}}
{{},{},{1},{1},{1},{3},{4},{6,7}}
{{},{},{1},{1},{1},{3},{4},{2,3,4}}
{{},{},{1},{1},{1},{3},{4},{2,3,5}}
{{},{},{1},{1},{1},{3},{4},{2,3,7}}
{{},{},{1},{1},{1},{3},{4},{2,5,6}}
{{},{},{1},{1},{1},{3},{4},{2,6,7}}
{{},{},{1},{1},{1},{3},{4},{3,4,5}}
{{},{},{1},{1},{1},{3},{4},{3,5,7}}
{{},{},{1},{1},{1},{3},{4},{5,6,7}}
{{},{},{1},{1},{1},{3},{4},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{4},{2,3,5,7}}
{{},{},{1},{1},{1},{3},{4},{2,5,6,7}}
{{},{},{1},{1},{1},{3},{6},{6}}
{{},{},{1},{1},{1},{3},{6},{7}}
{{},{},{1},{1},{1},{3},{6},{1,2}}
{{},{},{1},{1},{1},{3},{6},{2,3}}
{{},{},{1},{1},{1},{3},{6},{2,4}}
{{},{},{1},{1},{1},{3},{6},{2,6}}
{{},{},{1},{1},{1},{3},{6},{2,7}}
{{},{},{1},{1},{1},{3},{6},{3,4}}
{{},{},{1},{1},{1},{3},{6},{4,5}}
{{},{},{1},{1},{1},{3},{6},{4,6}}
{{},{},{1},{1},{1},{3},{6},{4,7}}
{{},{},{1},{1},{1},{3},{6},{2,3,4}}
{{},{},{1},{1},{1},{3},{6},{2,4,5}}
{{},{},{1},{1},{1},{3},{6},{2,4,6}}
{{},{},{1},{1},{1},{3},{6},{2,4,7}}
{{},{},{1},{1},{1},{3},{6},{3,4,5}}
{{},{},{1},{1},{1},{3},{6},{4,5,6}}
{{},{},{1},{1},{1},{3},{6},{4,5,7}}
{{},{},{1},{1},{1},{3},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{6},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{6},{2,4,5,7}}
{{},{},{1},{1},{1},{3},{1,2},{7}}
{{},{},{1},{1},{1},{3},{1,2},{1,2}}
{{},{},{1},{1},{1},{3},{1,2},{2,3}}
{{},{},{1},{1},{1},{3},{1,2},{2,4}}
{{},{},{1},{1},{1},{3},{1,2},{2,6}}
{{},{},{1},{1},{1},{3},{1,2},{3,4}}
{{},{},{1},{1},{1},{3},{1,2},{3,7}}
{{},{},{1},{1},{1},{3},{1,2},{4,5}}
{{},{},{1},{1},{1},{3},{1,2},{4,6}}
{{},{},{1},{1},{1},{3},{1,2},{4,7}}
{{},{},{1},{1},{1},{3},{1,2},{6,7}}
{{},{},{1},{1},{1},{3},{1,2},{2,3,4}}
{{},{},{1},{1},{1},{3},{1,2},{2,4,5}}
{{},{},{1},{1},{1},{3},{1,2},{2,4,6}}
{{},{},{1},{1},{1},{3},{1,2},{3,4,5}}
{{},{},{1},{1},{1},{3},{1,2},{3,4,7}}
{{},{},{1},{1},{1},{3},{1,2},{4,5,6}}
{{},{},{1},{1},{1},{3},{1,2},{4,5,7}}
{{},{},{1},{1},{1},{3},{1,2},{4,6,7}}
{{},{},{1},{1},{1},{3},{1,2},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{1,2},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{1,2},{3,4,5,7}}
{{},{},{1},{1},{1},{3},{1,2},{4,5,6,7}}
{{},{},{1},{1},{1},{3},{2,3},{7}}
{{},{},{1},{1},{1},{3},{2,3},{2,3}}
{{},{},{1},{1},{1},{3},{2,3},{2,4}}
{{},{},{1},{1},{1},{3},{2,3},{2,6}}
{{},{},{1},{1},{1},{3},{2,3},{3,4}}
{{},{},{1},{1},{1},{3},{2,3},{4,5}}
{{},{},{1},{1},{1},{3},{2,3},{4,6}}
{{},{},{1},{1},{1},{3},{2,3},{4,7}}
{{},{},{1},{1},{1},{3},{2,3},{6,7}}
{{},{},{1},{1},{1},{3},{2,3},{2,3,4}}
{{},{},{1},{1},{1},{3},{2,3},{2,4,5}}
{{},{},{1},{1},{1},{3},{2,3},{2,4,6}}
{{},{},{1},{1},{1},{3},{2,3},{3,4,5}}
{{},{},{1},{1},{1},{3},{2,3},{4,5,6}}
{{},{},{1},{1},{1},{3},{2,3},{4,5,7}}
{{},{},{1},{1},{1},{3},{2,3},{4,6,7}}
{{},{},{1},{1},{1},{3},{2,3},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{2,3},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{1},{3},{2,4},{7}}
{{},{},{1},{1},{1},{3},{2,4},{2,4}}
{{},{},{1},{1},{1},{3},{2,4},{2,5}}
{{},{},{1},{1},{1},{3},{2,4},{2,6}}
{{},{},{1},{1},{1},{3},{2,4},{3,4}}
{{},{},{1},{1},{1},{3},{2,4},{3,5}}
{{},{},{1},{1},{1},{3},{2,4},{3,7}}
{{},{},{1},{1},{1},{3},{2,4},{4,5}}
{{},{},{1},{1},{1},{3},{2,4},{4,6}}
{{},{},{1},{1},{1},{3},{2,4},{5,6}}
{{},{},{1},{1},{1},{3},{2,4},{5,7}}
{{},{},{1},{1},{1},{3},{2,4},{6,7}}
{{},{},{1},{1},{1},{3},{2,4},{2,3,4}}
{{},{},{1},{1},{1},{3},{2,4},{2,3,5}}
{{},{},{1},{1},{1},{3},{2,4},{2,4,5}}
{{},{},{1},{1},{1},{3},{2,4},{2,4,6}}
{{},{},{1},{1},{1},{3},{2,4},{2,5,6}}
{{},{},{1},{1},{1},{3},{2,4},{3,4,5}}
{{},{},{1},{1},{1},{3},{2,4},{3,5,7}}
{{},{},{1},{1},{1},{3},{2,4},{4,5,6}}
{{},{},{1},{1},{1},{3},{2,4},{5,6,7}}
{{},{},{1},{1},{1},{3},{2,4},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{2,4},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{2,6},{7}}
{{},{},{1},{1},{1},{3},{2,6},{2,6}}
{{},{},{1},{1},{1},{3},{2,6},{3,4}}
{{},{},{1},{1},{1},{3},{2,6},{4,5}}
{{},{},{1},{1},{1},{3},{2,6},{4,6}}
{{},{},{1},{1},{1},{3},{2,6},{4,7}}
{{},{},{1},{1},{1},{3},{2,6},{2,3,4}}
{{},{},{1},{1},{1},{3},{2,6},{2,4,5}}
{{},{},{1},{1},{1},{3},{2,6},{2,4,6}}
{{},{},{1},{1},{1},{3},{2,6},{3,4,5}}
{{},{},{1},{1},{1},{3},{2,6},{4,5,6}}
{{},{},{1},{1},{1},{3},{2,6},{4,5,7}}
{{},{},{1},{1},{1},{3},{2,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{2,6},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{3,4},{7}}
{{},{},{1},{1},{1},{3},{3,4},{2,7}}
{{},{},{1},{1},{1},{3},{3,4},{3,4}}
{{},{},{1},{1},{1},{3},{3,4},{3,5}}
{{},{},{1},{1},{1},{3},{3,4},{4,5}}
{{},{},{1},{1},{1},{3},{3,4},{4,6}}
{{},{},{1},{1},{1},{3},{3,4},{5,6}}
{{},{},{1},{1},{1},{3},{3,4},{5,7}}
{{},{},{1},{1},{1},{3},{3,4},{6,7}}
{{},{},{1},{1},{1},{3},{3,4},{2,3,4}}
{{},{},{1},{1},{1},{3},{3,4},{2,3,5}}
{{},{},{1},{1},{1},{3},{3,4},{2,4,5}}
{{},{},{1},{1},{1},{3},{3,4},{2,4,6}}
{{},{},{1},{1},{1},{3},{3,4},{2,5,6}}
{{},{},{1},{1},{1},{3},{3,4},{2,5,7}}
{{},{},{1},{1},{1},{3},{3,4},{2,6,7}}
{{},{},{1},{1},{1},{3},{3,4},{3,4,5}}
{{},{},{1},{1},{1},{3},{3,4},{4,5,6}}
{{},{},{1},{1},{1},{3},{3,4},{5,6,7}}
{{},{},{1},{1},{1},{3},{3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{3,4},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{3,4},{2,5,6,7}}
{{},{},{1},{1},{1},{3},{4,5},{7}}
{{},{},{1},{1},{1},{3},{4,5},{2,7}}
{{},{},{1},{1},{1},{3},{4,5},{3,7}}
{{},{},{1},{1},{1},{3},{4,5},{4,5}}
{{},{},{1},{1},{1},{3},{4,5},{4,6}}
{{},{},{1},{1},{1},{3},{4,5},{6,7}}
{{},{},{1},{1},{1},{3},{4,5},{2,3,4}}
{{},{},{1},{1},{1},{3},{4,5},{2,3,7}}
{{},{},{1},{1},{1},{3},{4,5},{2,4,5}}
{{},{},{1},{1},{1},{3},{4,5},{2,4,6}}
{{},{},{1},{1},{1},{3},{4,5},{2,6,7}}
{{},{},{1},{1},{1},{3},{4,5},{3,4,5}}
{{},{},{1},{1},{1},{3},{4,5},{4,5,6}}
{{},{},{1},{1},{1},{3},{4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{4,5},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{4,6},{7}}
{{},{},{1},{1},{1},{3},{4,6},{2,7}}
{{},{},{1},{1},{1},{3},{4,6},{4,6}}
{{},{},{1},{1},{1},{3},{4,6},{5,6}}
{{},{},{1},{1},{1},{3},{4,6},{5,7}}
{{},{},{1},{1},{1},{3},{4,6},{2,3,4}}
{{},{},{1},{1},{1},{3},{4,6},{2,3,5}}
{{},{},{1},{1},{1},{3},{4,6},{2,4,5}}
{{},{},{1},{1},{1},{3},{4,6},{2,4,6}}
{{},{},{1},{1},{1},{3},{4,6},{2,5,6}}
{{},{},{1},{1},{1},{3},{4,6},{2,5,7}}
{{},{},{1},{1},{1},{3},{4,6},{3,4,5}}
{{},{},{1},{1},{1},{3},{4,6},{4,5,6}}
{{},{},{1},{1},{1},{3},{4,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{4,6},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{2,3,4},{7}}
{{},{},{1},{1},{1},{3},{2,3,4},{5,7}}
{{},{},{1},{1},{1},{3},{2,3,4},{6,7}}
{{},{},{1},{1},{1},{3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1},{3},{2,3,4},{2,3,5}}
{{},{},{1},{1},{1},{3},{2,3,4},{2,4,5}}
{{},{},{1},{1},{1},{3},{2,3,4},{2,4,6}}
{{},{},{1},{1},{1},{3},{2,3,4},{2,5,6}}
{{},{},{1},{1},{1},{3},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1},{3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{1},{3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1},{3},{2,3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{2,3,4},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{2,4,5},{7}}
{{},{},{1},{1},{1},{3},{2,4,5},{3,7}}
{{},{},{1},{1},{1},{3},{2,4,5},{6,7}}
{{},{},{1},{1},{1},{3},{2,4,5},{2,4,5}}
{{},{},{1},{1},{1},{3},{2,4,5},{2,4,6}}
{{},{},{1},{1},{1},{3},{2,4,5},{3,4,5}}
{{},{},{1},{1},{1},{3},{2,4,5},{4,5,6}}
{{},{},{1},{1},{1},{3},{2,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{2,4,5},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{2,4,6},{7}}
{{},{},{1},{1},{1},{3},{2,4,6},{5,7}}
{{},{},{1},{1},{1},{3},{2,4,6},{2,4,6}}
{{},{},{1},{1},{1},{3},{2,4,6},{2,5,6}}
{{},{},{1},{1},{1},{3},{2,4,6},{3,4,5}}
{{},{},{1},{1},{1},{3},{2,4,6},{4,5,6}}
{{},{},{1},{1},{1},{3},{2,4,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{2,4,6},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{3,4,5},{7}}
{{},{},{1},{1},{1},{3},{3,4,5},{2,7}}
{{},{},{1},{1},{1},{3},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{3},{3,4,5},{2,6,7}}
{{},{},{1},{1},{1},{3},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{3},{3,4,5},{4,5,6}}
{{},{},{1},{1},{1},{3},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{3,4,5},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{4,5,6},{7}}
{{},{},{1},{1},{1},{3},{4,5,6},{2,7}}
{{},{},{1},{1},{1},{3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{1},{3},{4,5,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{4,5,6},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{3},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{3},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3},{2,3,4,5},{2,4,5,6}}
{{},{},{1},{1},{1},{3},{2,4,5,6},{7}}
{{},{},{1},{1},{1},{3},{2,4,5,6},{2,4,5,6}}
{{},{},{1},{1},{1},{1,2},{6},{6}}
{{},{},{1},{1},{1},{1,2},{6},{7}}
{{},{},{1},{1},{1},{1,2},{6},{1,2}}
{{},{},{1},{1},{1},{1,2},{6},{2,3}}
{{},{},{1},{1},{1},{1,2},{6},{3,4}}
{{},{},{1},{1},{1},{1,2},{6},{3,6}}
{{},{},{1},{1},{1},{1,2},{6},{3,7}}
{{},{},{1},{1},{1},{1,2},{6},{2,3,4}}
{{},{},{1},{1},{1},{1,2},{6},{3,4,5}}
{{},{},{1},{1},{1},{1,2},{6},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{6},{3,4,7}}
{{},{},{1},{1},{1},{1,2},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{6},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{6},{3,4,5,7}}
{{},{},{1},{1},{1},{1,2},{1,2},{1,2}}
{{},{},{1},{1},{1},{1,2},{1,2},{2,3}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,4}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,6}}
{{},{},{1},{1},{1},{1,2},{1,2},{6,7}}
{{},{},{1},{1},{1},{1,2},{1,2},{2,3,4}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,4,5}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,6,7}}
{{},{},{1},{1},{1},{1,2},{1,2},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,4,6,7}}
{{},{},{1},{1},{1},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{1},{1},{1},{1,2},{2,3},{7}}
{{},{},{1},{1},{1},{1,2},{2,3},{2,3}}
{{},{},{1},{1},{1},{1,2},{2,3},{2,4}}
{{},{},{1},{1},{1},{1,2},{2,3},{3,4}}
{{},{},{1},{1},{1},{1,2},{2,3},{3,6}}
{{},{},{1},{1},{1},{1,2},{2,3},{4,5}}
{{},{},{1},{1},{1},{1,2},{2,3},{4,6}}
{{},{},{1},{1},{1},{1,2},{2,3},{4,7}}
{{},{},{1},{1},{1},{1,2},{2,3},{6,7}}
{{},{},{1},{1},{1},{1,2},{2,3},{2,3,4}}
{{},{},{1},{1},{1},{1,2},{2,3},{2,4,5}}
{{},{},{1},{1},{1},{1,2},{2,3},{3,4,5}}
{{},{},{1},{1},{1},{1,2},{2,3},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{2,3},{4,5,6}}
{{},{},{1},{1},{1},{1,2},{2,3},{4,5,7}}
{{},{},{1},{1},{1},{1,2},{2,3},{4,6,7}}
{{},{},{1},{1},{1},{1,2},{2,3},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{2,3},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{2,3},{4,5,6,7}}
{{},{},{1},{1},{1},{1,2},{3,4},{7}}
{{},{},{1},{1},{1},{1,2},{3,4},{2,7}}
{{},{},{1},{1},{1},{1,2},{3,4},{3,4}}
{{},{},{1},{1},{1},{1,2},{3,4},{3,5}}
{{},{},{1},{1},{1},{1,2},{3,4},{3,6}}
{{},{},{1},{1},{1},{1,2},{3,4},{5,6}}
{{},{},{1},{1},{1},{1,2},{3,4},{5,7}}
{{},{},{1},{1},{1},{1,2},{3,4},{6,7}}
{{},{},{1},{1},{1},{1,2},{3,4},{2,3,4}}
{{},{},{1},{1},{1},{1,2},{3,4},{2,3,5}}
{{},{},{1},{1},{1},{1,2},{3,4},{2,5,7}}
{{},{},{1},{1},{1},{1,2},{3,4},{3,4,5}}
{{},{},{1},{1},{1},{1,2},{3,4},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{3,4},{3,5,6}}
{{},{},{1},{1},{1},{1,2},{3,4},{5,6,7}}
{{},{},{1},{1},{1},{1,2},{3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{3,4},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{3,6},{7}}
{{},{},{1},{1},{1},{1,2},{3,6},{3,6}}
{{},{},{1},{1},{1},{1,2},{3,6},{4,6}}
{{},{},{1},{1},{1},{1,2},{3,6},{4,7}}
{{},{},{1},{1},{1},{1,2},{3,6},{2,3,4}}
{{},{},{1},{1},{1},{1,2},{3,6},{2,4,5}}
{{},{},{1},{1},{1},{1,2},{3,6},{3,4,5}}
{{},{},{1},{1},{1},{1,2},{3,6},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{3,6},{4,5,6}}
{{},{},{1},{1},{1},{1,2},{3,6},{4,5,7}}
{{},{},{1},{1},{1},{1,2},{3,6},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{3,6},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{7}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{5,7}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{6,7}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{2,3,5}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{3,5,6}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{2,3,4},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{3,4,5},{7}}
{{},{},{1},{1},{1},{1,2},{3,4,5},{2,7}}
{{},{},{1},{1},{1},{1,2},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{1,2},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{1,2},{3,4,5},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{3,4,6},{7}}
{{},{},{1},{1},{1},{1,2},{3,4,6},{5,7}}
{{},{},{1},{1},{1},{1,2},{3,4,6},{3,4,6}}
{{},{},{1},{1},{1},{1,2},{3,4,6},{3,5,6}}
{{},{},{1},{1},{1},{1,2},{3,4,6},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{3,4,6},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{1,2},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{1,2},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{1,2},{2,3,4,5},{3,4,5,6}}
{{},{},{1},{1},{1},{1,2},{3,4,5,6},{7}}
{{},{},{1},{1},{1},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{1},{1},{1},{2,3},{6},{6}}
{{},{},{1},{1},{1},{2,3},{6},{7}}
{{},{},{1},{1},{1},{2,3},{6},{2,3}}
{{},{},{1},{1},{1},{2,3},{6},{2,4}}
{{},{},{1},{1},{1},{2,3},{6},{3,4}}
{{},{},{1},{1},{1},{2,3},{6},{4,5}}
{{},{},{1},{1},{1},{2,3},{6},{4,6}}
{{},{},{1},{1},{1},{2,3},{6},{4,7}}
{{},{},{1},{1},{1},{2,3},{6},{2,3,4}}
{{},{},{1},{1},{1},{2,3},{6},{2,4,5}}
{{},{},{1},{1},{1},{2,3},{6},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{6},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{6},{4,5,7}}
{{},{},{1},{1},{1},{2,3},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3},{2,3}}
{{},{},{1},{1},{1},{2,3},{2,3},{2,4}}
{{},{},{1},{1},{1},{2,3},{2,3},{3,4}}
{{},{},{1},{1},{1},{2,3},{2,3},{4,5}}
{{},{},{1},{1},{1},{2,3},{2,3},{4,6}}
{{},{},{1},{1},{1},{2,3},{2,3},{6,7}}
{{},{},{1},{1},{1},{2,3},{2,3},{2,3,4}}
{{},{},{1},{1},{1},{2,3},{2,3},{2,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{2,3},{4,6,7}}
{{},{},{1},{1},{1},{2,3},{2,3},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{1},{2,3},{2,4},{2,5}}
{{},{},{1},{1},{1},{2,3},{2,4},{3,4}}
{{},{},{1},{1},{1},{2,3},{2,4},{3,5}}
{{},{},{1},{1},{1},{2,3},{2,4},{3,7}}
{{},{},{1},{1},{1},{2,3},{2,4},{5,6}}
{{},{},{1},{1},{1},{2,3},{2,4},{6,7}}
{{},{},{1},{1},{1},{2,3},{2,4},{2,3,4}}
{{},{},{1},{1},{1},{2,3},{2,4},{2,3,5}}
{{},{},{1},{1},{1},{2,3},{2,4},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,4},{3,5,7}}
{{},{},{1},{1},{1},{2,3},{2,4},{5,6,7}}
{{},{},{1},{1},{1},{2,3},{2,4},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{3,4},{7}}
{{},{},{1},{1},{1},{2,3},{3,4},{2,7}}
{{},{},{1},{1},{1},{2,3},{3,4},{3,4}}
{{},{},{1},{1},{1},{2,3},{3,4},{3,5}}
{{},{},{1},{1},{1},{2,3},{3,4},{4,5}}
{{},{},{1},{1},{1},{2,3},{3,4},{4,6}}
{{},{},{1},{1},{1},{2,3},{3,4},{5,6}}
{{},{},{1},{1},{1},{2,3},{3,4},{5,7}}
{{},{},{1},{1},{1},{2,3},{3,4},{6,7}}
{{},{},{1},{1},{1},{2,3},{3,4},{2,3,4}}
{{},{},{1},{1},{1},{2,3},{3,4},{2,3,5}}
{{},{},{1},{1},{1},{2,3},{3,4},{2,4,5}}
{{},{},{1},{1},{1},{2,3},{3,4},{2,5,7}}
{{},{},{1},{1},{1},{2,3},{3,4},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{3,4},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{3,4},{5,6,7}}
{{},{},{1},{1},{1},{2,3},{3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{4,5},{7}}
{{},{},{1},{1},{1},{2,3},{4,5},{2,7}}
{{},{},{1},{1},{1},{2,3},{4,5},{3,7}}
{{},{},{1},{1},{1},{2,3},{4,5},{4,5}}
{{},{},{1},{1},{1},{2,3},{4,5},{4,6}}
{{},{},{1},{1},{1},{2,3},{4,5},{6,7}}
{{},{},{1},{1},{1},{2,3},{4,5},{2,3,4}}
{{},{},{1},{1},{1},{2,3},{4,5},{2,3,7}}
{{},{},{1},{1},{1},{2,3},{4,5},{2,4,5}}
{{},{},{1},{1},{1},{2,3},{4,5},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{4,5},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{4,6},{7}}
{{},{},{1},{1},{1},{2,3},{4,6},{4,6}}
{{},{},{1},{1},{1},{2,3},{4,6},{5,6}}
{{},{},{1},{1},{1},{2,3},{4,6},{5,7}}
{{},{},{1},{1},{1},{2,3},{4,6},{2,3,4}}
{{},{},{1},{1},{1},{2,3},{4,6},{2,3,5}}
{{},{},{1},{1},{1},{2,3},{4,6},{2,4,5}}
{{},{},{1},{1},{1},{2,3},{4,6},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{4,6},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{4,6},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{7}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{5,7}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{6,7}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{2,3,5}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{2,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1},{2,3},{2,3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,4,5},{7}}
{{},{},{1},{1},{1},{2,3},{2,4,5},{3,7}}
{{},{},{1},{1},{1},{2,3},{2,4,5},{6,7}}
{{},{},{1},{1},{1},{2,3},{2,4,5},{2,4,5}}
{{},{},{1},{1},{1},{2,3},{2,4,5},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,4,5},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{2,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{3,4,5},{7}}
{{},{},{1},{1},{1},{2,3},{3,4,5},{2,7}}
{{},{},{1},{1},{1},{2,3},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{2,3},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{2,3},{3,4,5},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{4,5,6},{7}}
{{},{},{1},{1},{1},{2,3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{1},{2,3},{4,5,6},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{2,3},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{2,3},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{6},{6}}
{{},{},{1},{1},{1},{3,4},{6},{7}}
{{},{},{1},{1},{1},{3,4},{6},{2,6}}
{{},{},{1},{1},{1},{3,4},{6},{2,7}}
{{},{},{1},{1},{1},{3,4},{6},{3,4}}
{{},{},{1},{1},{1},{3,4},{6},{3,5}}
{{},{},{1},{1},{1},{3,4},{6},{5,6}}
{{},{},{1},{1},{1},{3,4},{6},{5,7}}
{{},{},{1},{1},{1},{3,4},{6},{2,3,4}}
{{},{},{1},{1},{1},{3,4},{6},{2,3,5}}
{{},{},{1},{1},{1},{3,4},{6},{2,5,6}}
{{},{},{1},{1},{1},{3,4},{6},{2,5,7}}
{{},{},{1},{1},{1},{3,4},{6},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,6},{7}}
{{},{},{1},{1},{1},{3,4},{2,6},{2,6}}
{{},{},{1},{1},{1},{3,4},{2,6},{3,4}}
{{},{},{1},{1},{1},{3,4},{2,6},{3,5}}
{{},{},{1},{1},{1},{3,4},{2,6},{5,6}}
{{},{},{1},{1},{1},{3,4},{2,6},{5,7}}
{{},{},{1},{1},{1},{3,4},{2,6},{2,3,4}}
{{},{},{1},{1},{1},{3,4},{2,6},{2,3,5}}
{{},{},{1},{1},{1},{3,4},{2,6},{2,5,6}}
{{},{},{1},{1},{1},{3,4},{2,6},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{3,4},{3,4}}
{{},{},{1},{1},{1},{3,4},{3,4},{3,5}}
{{},{},{1},{1},{1},{3,4},{3,4},{5,6}}
{{},{},{1},{1},{1},{3,4},{3,4},{6,7}}
{{},{},{1},{1},{1},{3,4},{3,4},{2,3,4}}
{{},{},{1},{1},{1},{3,4},{3,4},{2,3,5}}
{{},{},{1},{1},{1},{3,4},{3,4},{2,5,6}}
{{},{},{1},{1},{1},{3,4},{3,4},{2,6,7}}
{{},{},{1},{1},{1},{3,4},{3,4},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{3,4},{5,6,7}}
{{},{},{1},{1},{1},{3,4},{3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{3,4},{2,5,6,7}}
{{},{},{1},{1},{1},{3,4},{3,5},{4,5}}
{{},{},{1},{1},{1},{3,4},{3,5},{4,7}}
{{},{},{1},{1},{1},{3,4},{3,5},{6,7}}
{{},{},{1},{1},{1},{3,4},{3,5},{2,3,4}}
{{},{},{1},{1},{1},{3,4},{3,5},{2,4,5}}
{{},{},{1},{1},{1},{3,4},{3,5},{2,4,7}}
{{},{},{1},{1},{1},{3,4},{3,5},{2,6,7}}
{{},{},{1},{1},{1},{3,4},{3,5},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{3,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{5,6},{7}}
{{},{},{1},{1},{1},{3,4},{5,6},{2,7}}
{{},{},{1},{1},{1},{3,4},{5,6},{5,6}}
{{},{},{1},{1},{1},{3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{1},{3,4},{5,6},{2,3,5}}
{{},{},{1},{1},{1},{3,4},{5,6},{2,5,6}}
{{},{},{1},{1},{1},{3,4},{5,6},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{5,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{7}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{5,7}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{2,3,5}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{2,5,6}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1},{3,4},{2,3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{7}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{4,7}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{6,7}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{2,3,5}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{2,4,5}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{2,5,6}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,3,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,5,6},{7}}
{{},{},{1},{1},{1},{3,4},{2,5,6},{2,5,6}}
{{},{},{1},{1},{1},{3,4},{2,5,6},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,5,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{3,4,5},{7}}
{{},{},{1},{1},{1},{3,4},{3,4,5},{2,7}}
{{},{},{1},{1},{1},{3,4},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{3,4},{3,4,5},{2,6,7}}
{{},{},{1},{1},{1},{3,4},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{3,4},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{3,4},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{3,4},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{6},{6}}
{{},{},{1},{1},{1},{2,3,4},{6},{7}}
{{},{},{1},{1},{1},{2,3,4},{6},{5,6}}
{{},{},{1},{1},{1},{2,3,4},{6},{5,7}}
{{},{},{1},{1},{1},{2,3,4},{6},{2,3,4}}
{{},{},{1},{1},{1},{2,3,4},{6},{2,3,5}}
{{},{},{1},{1},{1},{2,3,4},{6},{3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{5,6},{7}}
{{},{},{1},{1},{1},{2,3,4},{5,6},{5,6}}
{{},{},{1},{1},{1},{2,3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{1},{2,3,4},{5,6},{2,3,5}}
{{},{},{1},{1},{1},{2,3,4},{5,6},{3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{5,6},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4},{2,3,5}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{2,3,5},{6,7}}
{{},{},{1},{1},{1},{2,3,4},{2,3,5},{2,4,5}}
{{},{},{1},{1},{1},{2,3,4},{2,3,5},{3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{2,3,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{3,4,5},{7}}
{{},{},{1},{1},{1},{2,3,4},{3,4,5},{2,7}}
{{},{},{1},{1},{1},{2,3,4},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{2,3,4},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{2,3,4},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4,5},{6},{6}}
{{},{},{1},{1},{1},{3,4,5},{6},{7}}
{{},{},{1},{1},{1},{3,4,5},{6},{2,6}}
{{},{},{1},{1},{1},{3,4,5},{6},{2,7}}
{{},{},{1},{1},{1},{3,4,5},{6},{3,4,5}}
{{},{},{1},{1},{1},{3,4,5},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4,5},{2,6},{7}}
{{},{},{1},{1},{1},{3,4,5},{2,6},{2,6}}
{{},{},{1},{1},{1},{3,4,5},{2,6},{3,4,5}}
{{},{},{1},{1},{1},{3,4,5},{2,6},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4,5},{3,4,5},{6,7}}
{{},{},{1},{1},{1},{3,4,5},{3,4,5},{2,6,7}}
{{},{},{1},{1},{1},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1},{3,4,5},{3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{3,4,5},{2,3,4,5},{7}}
{{},{},{1},{1},{1},{3,4,5},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{3,4,5},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4,5},{6},{6}}
{{},{},{1},{1},{1},{2,3,4,5},{6},{7}}
{{},{},{1},{1},{1},{2,3,4,5},{6},{2,3,4,5}}
{{},{},{1},{1},{1},{2,3,4,5},{2,3,4,5},{6,7}}
{{},{},{1},{1},{1},{2,3,4,5},{2,3,4,5},{2,3,4,5}}
{{},{},{1},{1},{2},{2},{3},{3}}
{{},{},{1},{1},{2},{2},{3},{4}}
{{},{},{1},{1},{2},{2},{3},{5}}
{{},{},{1},{1},{2},{2},{3},{7}}
{{},{},{1},{1},{2},{2},{3},{1,2}}
{{},{},{1},{1},{2},{2},{3},{1,5}}
{{},{},{1},{1},{2},{2},{3},{2,3}}
{{},{},{1},{1},{2},{2},{3},{2,4}}
{{},{},{1},{1},{2},{2},{3},{2,7}}
{{},{},{1},{1},{2},{2},{3},{3,4}}
{{},{},{1},{1},{2},{2},{3},{3,5}}
{{},{},{1},{1},{2},{2},{3},{4,5}}
{{},{},{1},{1},{2},{2},{3},{4,7}}
{{},{},{1},{1},{2},{2},{3},{5,6}}
{{},{},{1},{1},{2},{2},{3},{5,7}}
{{},{},{1},{1},{2},{2},{3},{1,5,6}}
{{},{},{1},{1},{2},{2},{3},{2,3,4}}
{{},{},{1},{1},{2},{2},{3},{2,4,7}}
{{},{},{1},{1},{2},{2},{3},{3,4,5}}
{{},{},{1},{1},{2},{2},{3},{3,5,6}}
{{},{},{1},{1},{2},{2},{3},{4,5,6}}
{{},{},{1},{1},{2},{2},{3},{4,5,7}}
{{},{},{1},{1},{2},{2},{3},{5,6,7}}
{{},{},{1},{1},{2},{2},{3},{3,4,5,6}}
{{},{},{1},{1},{2},{2},{3},{4,5,6,7}}
{{},{},{1},{1},{2},{2},{1,2},{7}}
{{},{},{1},{1},{2},{2},{1,2},{1,2}}
{{},{},{1},{1},{2},{2},{1,2},{1,5}}
{{},{},{1},{1},{2},{2},{1,2},{3,4}}
{{},{},{1},{1},{2},{2},{1,2},{3,5}}
{{},{},{1},{1},{2},{2},{1,2},{3,7}}
{{},{},{1},{1},{2},{2},{1,2},{1,5,6}}
{{},{},{1},{1},{2},{2},{1,2},{3,4,5}}
{{},{},{1},{1},{2},{2},{1,2},{3,4,7}}
{{},{},{1},{1},{2},{2},{1,2},{3,5,7}}
{{},{},{1},{1},{2},{2},{1,2},{3,4,5,6}}
{{},{},{1},{1},{2},{2},{1,2},{3,4,5,7}}
{{},{},{1},{1},{2},{2},{1,2},{3,4,5,6,7}}
{{},{},{1},{1},{2},{2},{1,5},{7}}
{{},{},{1},{1},{2},{2},{1,5},{1,5}}
{{},{},{1},{1},{2},{2},{1,5},{1,6}}
{{},{},{1},{1},{2},{2},{1,5},{2,3}}
{{},{},{1},{1},{2},{2},{1,5},{3,4}}
{{},{},{1},{1},{2},{2},{1,5},{3,5}}
{{},{},{1},{1},{2},{2},{1,5},{3,6}}
{{},{},{1},{1},{2},{2},{1,5},{3,7}}
{{},{},{1},{1},{2},{2},{1,5},{5,6}}
{{},{},{1},{1},{2},{2},{1,5},{6,7}}
{{},{},{1},{1},{2},{2},{1,5},{1,5,6}}
{{},{},{1},{1},{2},{2},{1,5},{2,3,4}}
{{},{},{1},{1},{2},{2},{1,5},{3,4,5}}
{{},{},{1},{1},{2},{2},{1,5},{3,4,6}}
{{},{},{1},{1},{2},{2},{1,5},{3,4,7}}
{{},{},{1},{1},{2},{2},{1,5},{3,5,6}}
{{},{},{1},{1},{2},{2},{1,5},{3,6,7}}
{{},{},{1},{1},{2},{2},{1,5},{3,4,5,6}}
{{},{},{1},{1},{2},{2},{1,5},{3,4,6,7}}
{{},{},{1},{1},{2},{2},{3,4},{7}}
{{},{},{1},{1},{2},{2},{3,4},{2,7}}
{{},{},{1},{1},{2},{2},{3,4},{3,4}}
{{},{},{1},{1},{2},{2},{3,4},{3,5}}
{{},{},{1},{1},{2},{2},{3,4},{5,6}}
{{},{},{1},{1},{2},{2},{3,4},{5,7}}
{{},{},{1},{1},{2},{2},{3,4},{1,5,6}}
{{},{},{1},{1},{2},{2},{3,4},{2,3,4}}
{{},{},{1},{1},{2},{2},{3,4},{3,4,5}}
{{},{},{1},{1},{2},{2},{3,4},{3,5,6}}
{{},{},{1},{1},{2},{2},{3,4},{5,6,7}}
{{},{},{1},{1},{2},{2},{3,4},{3,4,5,6}}
{{},{},{1},{1},{2},{2},{3,5},{7}}
{{},{},{1},{1},{2},{2},{3,5},{3,5}}
{{},{},{1},{1},{2},{2},{3,5},{3,6}}
{{},{},{1},{1},{2},{2},{3,5},{4,6}}
{{},{},{1},{1},{2},{2},{3,5},{4,7}}
{{},{},{1},{1},{2},{2},{3,5},{1,5,6}}
{{},{},{1},{1},{2},{2},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{2},{3,5},{3,4,6}}
{{},{},{1},{1},{2},{2},{3,5},{4,6,7}}
{{},{},{1},{1},{2},{2},{3,5},{3,4,5,6}}
{{},{},{1},{1},{2},{2},{1,5,6},{7}}
{{},{},{1},{1},{2},{2},{1,5,6},{3,7}}
{{},{},{1},{1},{2},{2},{1,5,6},{1,5,6}}
{{},{},{1},{1},{2},{2},{1,5,6},{2,3,4}}
{{},{},{1},{1},{2},{2},{1,5,6},{3,4,5}}
{{},{},{1},{1},{2},{2},{1,5,6},{3,4,7}}
{{},{},{1},{1},{2},{2},{1,5,6},{3,5,6}}
{{},{},{1},{1},{2},{2},{1,5,6},{3,4,5,6}}
{{},{},{1},{1},{2},{2},{3,4,5},{7}}
{{},{},{1},{1},{2},{2},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{2},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{2},{3,4,5},{3,4,6}}
{{},{},{1},{1},{2},{2},{3,4,5},{3,5,6}}
{{},{},{1},{1},{2},{2},{3,4,5},{3,4,5,6}}
{{},{},{1},{1},{2},{2},{3,4,5,6},{7}}
{{},{},{1},{1},{2},{2},{3,4,5,6},{3,4,5,6}}
{{},{},{1},{1},{2},{3},{3},{3}}
{{},{},{1},{1},{2},{3},{3},{4}}
{{},{},{1},{1},{2},{3},{3},{5}}
{{},{},{1},{1},{2},{3},{3},{6}}
{{},{},{1},{1},{2},{3},{3},{1,2}}
{{},{},{1},{1},{2},{3},{3},{1,5}}
{{},{},{1},{1},{2},{3},{3},{2,3}}
{{},{},{1},{1},{2},{3},{3},{2,4}}
{{},{},{1},{1},{2},{3},{3},{2,6}}
{{},{},{1},{1},{2},{3},{3},{3,4}}
{{},{},{1},{1},{2},{3},{3},{3,5}}
{{},{},{1},{1},{2},{3},{3},{4,5}}
{{},{},{1},{1},{2},{3},{3},{4,6}}
{{},{},{1},{1},{2},{3},{3},{5,6}}
{{},{},{1},{1},{2},{3},{3},{6,7}}
{{},{},{1},{1},{2},{3},{3},{2,3,4}}
{{},{},{1},{1},{2},{3},{3},{2,4,6}}
{{},{},{1},{1},{2},{3},{3},{2,6,7}}
{{},{},{1},{1},{2},{3},{3},{3,4,5}}
{{},{},{1},{1},{2},{3},{3},{4,5,6}}
{{},{},{1},{1},{2},{3},{3},{4,6,7}}
{{},{},{1},{1},{2},{3},{3},{5,6,7}}
{{},{},{1},{1},{2},{3},{3},{2,4,6,7}}
{{},{},{1},{1},{2},{3},{3},{4,5,6,7}}
{{},{},{1},{1},{2},{3},{4},{5}}
{{},{},{1},{1},{2},{3},{4},{6}}
{{},{},{1},{1},{2},{3},{4},{1,2}}
{{},{},{1},{1},{2},{3},{4},{1,5}}
{{},{},{1},{1},{2},{3},{4},{2,3}}
{{},{},{1},{1},{2},{3},{4},{2,6}}
{{},{},{1},{1},{2},{3},{4},{3,4}}
{{},{},{1},{1},{2},{3},{4},{3,5}}
{{},{},{1},{1},{2},{3},{4},{3,7}}
{{},{},{1},{1},{2},{3},{4},{5,6}}
{{},{},{1},{1},{2},{3},{4},{6,7}}
{{},{},{1},{1},{2},{3},{4},{2,3,4}}
{{},{},{1},{1},{2},{3},{4},{2,3,7}}
{{},{},{1},{1},{2},{3},{4},{2,6,7}}
{{},{},{1},{1},{2},{3},{4},{3,4,5}}
{{},{},{1},{1},{2},{3},{4},{3,5,7}}
{{},{},{1},{1},{2},{3},{4},{5,6,7}}
{{},{},{1},{1},{2},{3},{5},{5}}
{{},{},{1},{1},{2},{3},{5},{6}}
{{},{},{1},{1},{2},{3},{5},{7}}
{{},{},{1},{1},{2},{3},{5},{1,2}}
{{},{},{1},{1},{2},{3},{5},{1,5}}
{{},{},{1},{1},{2},{3},{5},{1,7}}
{{},{},{1},{1},{2},{3},{5},{2,3}}
{{},{},{1},{1},{2},{3},{5},{2,4}}
{{},{},{1},{1},{2},{3},{5},{2,6}}
{{},{},{1},{1},{2},{3},{5},{3,4}}
{{},{},{1},{1},{2},{3},{5},{3,5}}
{{},{},{1},{1},{2},{3},{5},{3,7}}
{{},{},{1},{1},{2},{3},{5},{4,5}}
{{},{},{1},{1},{2},{3},{5},{4,6}}
{{},{},{1},{1},{2},{3},{5},{4,7}}
{{},{},{1},{1},{2},{3},{5},{5,6}}
{{},{},{1},{1},{2},{3},{5},{6,7}}
{{},{},{1},{1},{2},{3},{5},{2,3,4}}
{{},{},{1},{1},{2},{3},{5},{2,4,6}}
{{},{},{1},{1},{2},{3},{5},{3,4,5}}
{{},{},{1},{1},{2},{3},{5},{3,4,7}}
{{},{},{1},{1},{2},{3},{5},{4,5,6}}
{{},{},{1},{1},{2},{3},{5},{4,6,7}}
{{},{},{1},{1},{2},{3},{6},{6}}
{{},{},{1},{1},{2},{3},{6},{7}}
{{},{},{1},{1},{2},{3},{6},{1,2}}
{{},{},{1},{1},{2},{3},{6},{1,5}}
{{},{},{1},{1},{2},{3},{6},{2,3}}
{{},{},{1},{1},{2},{3},{6},{2,4}}
{{},{},{1},{1},{2},{3},{6},{2,6}}
{{},{},{1},{1},{2},{3},{6},{2,7}}
{{},{},{1},{1},{2},{3},{6},{3,4}}
{{},{},{1},{1},{2},{3},{6},{3,5}}
{{},{},{1},{1},{2},{3},{6},{4,5}}
{{},{},{1},{1},{2},{3},{6},{4,6}}
{{},{},{1},{1},{2},{3},{6},{4,7}}
{{},{},{1},{1},{2},{3},{6},{5,6}}
{{},{},{1},{1},{2},{3},{6},{5,7}}
{{},{},{1},{1},{2},{3},{6},{2,3,4}}
{{},{},{1},{1},{2},{3},{6},{2,4,6}}
{{},{},{1},{1},{2},{3},{6},{2,4,7}}
{{},{},{1},{1},{2},{3},{6},{3,4,5}}
{{},{},{1},{1},{2},{3},{6},{4,5,6}}
{{},{},{1},{1},{2},{3},{6},{4,5,7}}
{{},{},{1},{1},{2},{3},{1,2},{7}}
{{},{},{1},{1},{2},{3},{1,2},{1,2}}
{{},{},{1},{1},{2},{3},{1,2},{1,5}}
{{},{},{1},{1},{2},{3},{1,2},{2,3}}
{{},{},{1},{1},{2},{3},{1,2},{2,4}}
{{},{},{1},{1},{2},{3},{1,2},{2,6}}
{{},{},{1},{1},{2},{3},{1,2},{3,4}}
{{},{},{1},{1},{2},{3},{1,2},{3,5}}
{{},{},{1},{1},{2},{3},{1,2},{3,7}}
{{},{},{1},{1},{2},{3},{1,2},{4,5}}
{{},{},{1},{1},{2},{3},{1,2},{4,6}}
{{},{},{1},{1},{2},{3},{1,2},{4,7}}
{{},{},{1},{1},{2},{3},{1,2},{5,6}}
{{},{},{1},{1},{2},{3},{1,2},{5,7}}
{{},{},{1},{1},{2},{3},{1,2},{6,7}}
{{},{},{1},{1},{2},{3},{1,2},{2,3,4}}
{{},{},{1},{1},{2},{3},{1,2},{2,4,6}}
{{},{},{1},{1},{2},{3},{1,2},{3,4,5}}
{{},{},{1},{1},{2},{3},{1,2},{3,4,7}}
{{},{},{1},{1},{2},{3},{1,2},{3,5,7}}
{{},{},{1},{1},{2},{3},{1,2},{4,5,6}}
{{},{},{1},{1},{2},{3},{1,2},{4,5,7}}
{{},{},{1},{1},{2},{3},{1,2},{4,6,7}}
{{},{},{1},{1},{2},{3},{1,2},{5,6,7}}
{{},{},{1},{1},{2},{3},{1,2},{3,4,5,7}}
{{},{},{1},{1},{2},{3},{1,2},{4,5,6,7}}
{{},{},{1},{1},{2},{3},{1,5},{7}}
{{},{},{1},{1},{2},{3},{1,5},{1,5}}
{{},{},{1},{1},{2},{3},{1,5},{2,3}}
{{},{},{1},{1},{2},{3},{1,5},{2,4}}
{{},{},{1},{1},{2},{3},{1,5},{2,6}}
{{},{},{1},{1},{2},{3},{1,5},{3,4}}
{{},{},{1},{1},{2},{3},{1,5},{3,5}}
{{},{},{1},{1},{2},{3},{1,5},{3,7}}
{{},{},{1},{1},{2},{3},{1,5},{4,5}}
{{},{},{1},{1},{2},{3},{1,5},{4,6}}
{{},{},{1},{1},{2},{3},{1,5},{4,7}}
{{},{},{1},{1},{2},{3},{1,5},{5,6}}
{{},{},{1},{1},{2},{3},{1,5},{6,7}}
{{},{},{1},{1},{2},{3},{1,5},{2,3,4}}
{{},{},{1},{1},{2},{3},{1,5},{2,4,6}}
{{},{},{1},{1},{2},{3},{1,5},{3,4,5}}
{{},{},{1},{1},{2},{3},{1,5},{3,4,7}}
{{},{},{1},{1},{2},{3},{1,5},{4,5,6}}
{{},{},{1},{1},{2},{3},{1,5},{4,6,7}}
{{},{},{1},{1},{2},{3},{2,3},{7}}
{{},{},{1},{1},{2},{3},{2,3},{2,3}}
{{},{},{1},{1},{2},{3},{2,3},{2,4}}
{{},{},{1},{1},{2},{3},{2,3},{2,6}}
{{},{},{1},{1},{2},{3},{2,3},{3,4}}
{{},{},{1},{1},{2},{3},{2,3},{3,5}}
{{},{},{1},{1},{2},{3},{2,3},{4,5}}
{{},{},{1},{1},{2},{3},{2,3},{4,6}}
{{},{},{1},{1},{2},{3},{2,3},{4,7}}
{{},{},{1},{1},{2},{3},{2,3},{5,6}}
{{},{},{1},{1},{2},{3},{2,3},{5,7}}
{{},{},{1},{1},{2},{3},{2,3},{6,7}}
{{},{},{1},{1},{2},{3},{2,3},{2,3,4}}
{{},{},{1},{1},{2},{3},{2,3},{2,4,6}}
{{},{},{1},{1},{2},{3},{2,3},{3,4,5}}
{{},{},{1},{1},{2},{3},{2,3},{4,5,6}}
{{},{},{1},{1},{2},{3},{2,3},{4,5,7}}
{{},{},{1},{1},{2},{3},{2,3},{4,6,7}}
{{},{},{1},{1},{2},{3},{2,3},{5,6,7}}
{{},{},{1},{1},{2},{3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{2},{3},{2,4},{7}}
{{},{},{1},{1},{2},{3},{2,4},{2,4}}
{{},{},{1},{1},{2},{3},{2,4},{2,6}}
{{},{},{1},{1},{2},{3},{2,4},{3,4}}
{{},{},{1},{1},{2},{3},{2,4},{3,5}}
{{},{},{1},{1},{2},{3},{2,4},{3,7}}
{{},{},{1},{1},{2},{3},{2,4},{4,5}}
{{},{},{1},{1},{2},{3},{2,4},{4,6}}
{{},{},{1},{1},{2},{3},{2,4},{5,6}}
{{},{},{1},{1},{2},{3},{2,4},{5,7}}
{{},{},{1},{1},{2},{3},{2,4},{6,7}}
{{},{},{1},{1},{2},{3},{2,4},{2,3,4}}
{{},{},{1},{1},{2},{3},{2,4},{2,4,6}}
{{},{},{1},{1},{2},{3},{2,4},{3,4,5}}
{{},{},{1},{1},{2},{3},{2,4},{3,5,7}}
{{},{},{1},{1},{2},{3},{2,4},{4,5,6}}
{{},{},{1},{1},{2},{3},{2,4},{5,6,7}}
{{},{},{1},{1},{2},{3},{2,6},{7}}
{{},{},{1},{1},{2},{3},{2,6},{2,6}}
{{},{},{1},{1},{2},{3},{2,6},{3,4}}
{{},{},{1},{1},{2},{3},{2,6},{3,5}}
{{},{},{1},{1},{2},{3},{2,6},{4,5}}
{{},{},{1},{1},{2},{3},{2,6},{4,6}}
{{},{},{1},{1},{2},{3},{2,6},{4,7}}
{{},{},{1},{1},{2},{3},{2,6},{5,6}}
{{},{},{1},{1},{2},{3},{2,6},{5,7}}
{{},{},{1},{1},{2},{3},{2,6},{2,3,4}}
{{},{},{1},{1},{2},{3},{2,6},{2,4,6}}
{{},{},{1},{1},{2},{3},{2,6},{3,4,5}}
{{},{},{1},{1},{2},{3},{2,6},{4,5,6}}
{{},{},{1},{1},{2},{3},{2,6},{4,5,7}}
{{},{},{1},{1},{2},{3},{3,4},{7}}
{{},{},{1},{1},{2},{3},{3,4},{2,7}}
{{},{},{1},{1},{2},{3},{3,4},{3,4}}
{{},{},{1},{1},{2},{3},{3,4},{3,5}}
{{},{},{1},{1},{2},{3},{3,4},{4,5}}
{{},{},{1},{1},{2},{3},{3,4},{4,6}}
{{},{},{1},{1},{2},{3},{3,4},{5,6}}
{{},{},{1},{1},{2},{3},{3,4},{5,7}}
{{},{},{1},{1},{2},{3},{3,4},{6,7}}
{{},{},{1},{1},{2},{3},{3,4},{2,3,4}}
{{},{},{1},{1},{2},{3},{3,4},{2,4,6}}
{{},{},{1},{1},{2},{3},{3,4},{2,6,7}}
{{},{},{1},{1},{2},{3},{3,4},{3,4,5}}
{{},{},{1},{1},{2},{3},{3,4},{4,5,6}}
{{},{},{1},{1},{2},{3},{3,4},{5,6,7}}
{{},{},{1},{1},{2},{3},{3,5},{7}}
{{},{},{1},{1},{2},{3},{3,5},{3,5}}
{{},{},{1},{1},{2},{3},{3,5},{4,5}}
{{},{},{1},{1},{2},{3},{3,5},{4,6}}
{{},{},{1},{1},{2},{3},{3,5},{4,7}}
{{},{},{1},{1},{2},{3},{3,5},{5,6}}
{{},{},{1},{1},{2},{3},{3,5},{6,7}}
{{},{},{1},{1},{2},{3},{3,5},{2,3,4}}
{{},{},{1},{1},{2},{3},{3,5},{2,4,6}}
{{},{},{1},{1},{2},{3},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{3},{3,5},{4,5,6}}
{{},{},{1},{1},{2},{3},{3,5},{4,6,7}}
{{},{},{1},{1},{2},{3},{4,5},{7}}
{{},{},{1},{1},{2},{3},{4,5},{3,7}}
{{},{},{1},{1},{2},{3},{4,5},{4,5}}
{{},{},{1},{1},{2},{3},{4,5},{4,6}}
{{},{},{1},{1},{2},{3},{4,5},{5,6}}
{{},{},{1},{1},{2},{3},{4,5},{6,7}}
{{},{},{1},{1},{2},{3},{4,5},{2,3,4}}
{{},{},{1},{1},{2},{3},{4,5},{2,4,6}}
{{},{},{1},{1},{2},{3},{4,5},{3,4,5}}
{{},{},{1},{1},{2},{3},{4,5},{4,5,6}}
{{},{},{1},{1},{2},{3},{4,6},{7}}
{{},{},{1},{1},{2},{3},{4,6},{2,7}}
{{},{},{1},{1},{2},{3},{4,6},{4,6}}
{{},{},{1},{1},{2},{3},{4,6},{5,6}}
{{},{},{1},{1},{2},{3},{4,6},{5,7}}
{{},{},{1},{1},{2},{3},{4,6},{2,3,4}}
{{},{},{1},{1},{2},{3},{4,6},{2,4,6}}
{{},{},{1},{1},{2},{3},{4,6},{3,4,5}}
{{},{},{1},{1},{2},{3},{4,6},{4,5,6}}
{{},{},{1},{1},{2},{3},{5,6},{7}}
{{},{},{1},{1},{2},{3},{5,6},{4,7}}
{{},{},{1},{1},{2},{3},{5,6},{5,6}}
{{},{},{1},{1},{2},{3},{5,6},{2,3,4}}
{{},{},{1},{1},{2},{3},{5,6},{2,4,6}}
{{},{},{1},{1},{2},{3},{5,6},{3,4,5}}
{{},{},{1},{1},{2},{3},{5,6},{4,5,6}}
{{},{},{1},{1},{2},{3},{2,3,4},{7}}
{{},{},{1},{1},{2},{3},{2,3,4},{5,7}}
{{},{},{1},{1},{2},{3},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{3},{2,3,4},{2,4,6}}
{{},{},{1},{1},{2},{3},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{2},{3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2},{3},{2,4,6},{7}}
{{},{},{1},{1},{2},{3},{2,4,6},{5,7}}
{{},{},{1},{1},{2},{3},{2,4,6},{2,4,6}}
{{},{},{1},{1},{2},{3},{2,4,6},{3,4,5}}
{{},{},{1},{1},{2},{3},{2,4,6},{4,5,6}}
{{},{},{1},{1},{2},{3},{3,4,5},{7}}
{{},{},{1},{1},{2},{3},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{3},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{3},{3,4,5},{4,5,6}}
{{},{},{1},{1},{2},{3},{4,5,6},{7}}
{{},{},{1},{1},{2},{3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{2},{5},{5},{5}}
{{},{},{1},{1},{2},{5},{5},{6}}
{{},{},{1},{1},{2},{5},{5},{1,2}}
{{},{},{1},{1},{2},{5},{5},{1,5}}
{{},{},{1},{1},{2},{5},{5},{1,6}}
{{},{},{1},{1},{2},{5},{5},{2,3}}
{{},{},{1},{1},{2},{5},{5},{3,4}}
{{},{},{1},{1},{2},{5},{5},{3,5}}
{{},{},{1},{1},{2},{5},{5},{3,6}}
{{},{},{1},{1},{2},{5},{5},{6,7}}
{{},{},{1},{1},{2},{5},{5},{1,6,7}}
{{},{},{1},{1},{2},{5},{5},{2,3,4}}
{{},{},{1},{1},{2},{5},{5},{3,4,5}}
{{},{},{1},{1},{2},{5},{5},{3,4,6}}
{{},{},{1},{1},{2},{5},{5},{3,6,7}}
{{},{},{1},{1},{2},{5},{5},{3,4,6,7}}
{{},{},{1},{1},{2},{5},{6},{6}}
{{},{},{1},{1},{2},{5},{6},{7}}
{{},{},{1},{1},{2},{5},{6},{1,2}}
{{},{},{1},{1},{2},{5},{6},{1,5}}
{{},{},{1},{1},{2},{5},{6},{1,6}}
{{},{},{1},{1},{2},{5},{6},{1,7}}
{{},{},{1},{1},{2},{5},{6},{2,3}}
{{},{},{1},{1},{2},{5},{6},{3,4}}
{{},{},{1},{1},{2},{5},{6},{3,5}}
{{},{},{1},{1},{2},{5},{6},{3,6}}
{{},{},{1},{1},{2},{5},{6},{3,7}}
{{},{},{1},{1},{2},{5},{6},{2,3,4}}
{{},{},{1},{1},{2},{5},{6},{3,4,5}}
{{},{},{1},{1},{2},{5},{6},{3,4,6}}
{{},{},{1},{1},{2},{5},{6},{3,4,7}}
{{},{},{1},{1},{2},{5},{1,2},{7}}
{{},{},{1},{1},{2},{5},{1,2},{1,2}}
{{},{},{1},{1},{2},{5},{1,2},{1,5}}
{{},{},{1},{1},{2},{5},{1,2},{1,6}}
{{},{},{1},{1},{2},{5},{1,2},{2,3}}
{{},{},{1},{1},{2},{5},{1,2},{3,4}}
{{},{},{1},{1},{2},{5},{1,2},{3,5}}
{{},{},{1},{1},{2},{5},{1,2},{3,6}}
{{},{},{1},{1},{2},{5},{1,2},{3,7}}
{{},{},{1},{1},{2},{5},{1,2},{5,7}}
{{},{},{1},{1},{2},{5},{1,2},{6,7}}
{{},{},{1},{1},{2},{5},{1,2},{2,3,4}}
{{},{},{1},{1},{2},{5},{1,2},{3,4,5}}
{{},{},{1},{1},{2},{5},{1,2},{3,4,6}}
{{},{},{1},{1},{2},{5},{1,2},{3,4,7}}
{{},{},{1},{1},{2},{5},{1,2},{3,5,7}}
{{},{},{1},{1},{2},{5},{1,2},{3,6,7}}
{{},{},{1},{1},{2},{5},{1,2},{3,4,5,7}}
{{},{},{1},{1},{2},{5},{1,2},{3,4,6,7}}
{{},{},{1},{1},{2},{5},{1,5},{7}}
{{},{},{1},{1},{2},{5},{1,5},{1,5}}
{{},{},{1},{1},{2},{5},{1,5},{1,6}}
{{},{},{1},{1},{2},{5},{1,5},{2,3}}
{{},{},{1},{1},{2},{5},{1,5},{3,4}}
{{},{},{1},{1},{2},{5},{1,5},{3,5}}
{{},{},{1},{1},{2},{5},{1,5},{3,6}}
{{},{},{1},{1},{2},{5},{1,5},{3,7}}
{{},{},{1},{1},{2},{5},{1,5},{6,7}}
{{},{},{1},{1},{2},{5},{1,5},{2,3,4}}
{{},{},{1},{1},{2},{5},{1,5},{3,4,5}}
{{},{},{1},{1},{2},{5},{1,5},{3,4,6}}
{{},{},{1},{1},{2},{5},{1,5},{3,4,7}}
{{},{},{1},{1},{2},{5},{1,5},{3,6,7}}
{{},{},{1},{1},{2},{5},{1,5},{3,4,6,7}}
{{},{},{1},{1},{2},{5},{1,6},{7}}
{{},{},{1},{1},{2},{5},{1,6},{1,6}}
{{},{},{1},{1},{2},{5},{1,6},{2,3}}
{{},{},{1},{1},{2},{5},{1,6},{3,4}}
{{},{},{1},{1},{2},{5},{1,6},{3,5}}
{{},{},{1},{1},{2},{5},{1,6},{3,6}}
{{},{},{1},{1},{2},{5},{1,6},{3,7}}
{{},{},{1},{1},{2},{5},{1,6},{2,3,4}}
{{},{},{1},{1},{2},{5},{1,6},{3,4,5}}
{{},{},{1},{1},{2},{5},{1,6},{3,4,6}}
{{},{},{1},{1},{2},{5},{1,6},{3,4,7}}
{{},{},{1},{1},{2},{5},{2,3},{7}}
{{},{},{1},{1},{2},{5},{2,3},{2,3}}
{{},{},{1},{1},{2},{5},{2,3},{2,4}}
{{},{},{1},{1},{2},{5},{2,3},{3,4}}
{{},{},{1},{1},{2},{5},{2,3},{3,5}}
{{},{},{1},{1},{2},{5},{2,3},{3,6}}
{{},{},{1},{1},{2},{5},{2,3},{4,5}}
{{},{},{1},{1},{2},{5},{2,3},{4,6}}
{{},{},{1},{1},{2},{5},{2,3},{4,7}}
{{},{},{1},{1},{2},{5},{2,3},{5,7}}
{{},{},{1},{1},{2},{5},{2,3},{6,7}}
{{},{},{1},{1},{2},{5},{2,3},{2,3,4}}
{{},{},{1},{1},{2},{5},{2,3},{3,4,5}}
{{},{},{1},{1},{2},{5},{2,3},{3,4,6}}
{{},{},{1},{1},{2},{5},{2,3},{4,5,7}}
{{},{},{1},{1},{2},{5},{2,3},{4,6,7}}
{{},{},{1},{1},{2},{5},{3,4},{7}}
{{},{},{1},{1},{2},{5},{3,4},{2,7}}
{{},{},{1},{1},{2},{5},{3,4},{3,4}}
{{},{},{1},{1},{2},{5},{3,4},{3,5}}
{{},{},{1},{1},{2},{5},{3,4},{3,6}}
{{},{},{1},{1},{2},{5},{3,4},{5,7}}
{{},{},{1},{1},{2},{5},{3,4},{6,7}}
{{},{},{1},{1},{2},{5},{3,4},{2,3,4}}
{{},{},{1},{1},{2},{5},{3,4},{3,4,5}}
{{},{},{1},{1},{2},{5},{3,4},{3,4,6}}
{{},{},{1},{1},{2},{5},{3,5},{7}}
{{},{},{1},{1},{2},{5},{3,5},{3,5}}
{{},{},{1},{1},{2},{5},{3,5},{3,6}}
{{},{},{1},{1},{2},{5},{3,5},{4,5}}
{{},{},{1},{1},{2},{5},{3,5},{4,6}}
{{},{},{1},{1},{2},{5},{3,5},{4,7}}
{{},{},{1},{1},{2},{5},{3,5},{6,7}}
{{},{},{1},{1},{2},{5},{3,5},{2,3,4}}
{{},{},{1},{1},{2},{5},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{5},{3,5},{3,4,6}}
{{},{},{1},{1},{2},{5},{3,5},{4,6,7}}
{{},{},{1},{1},{2},{5},{3,6},{7}}
{{},{},{1},{1},{2},{5},{3,6},{3,6}}
{{},{},{1},{1},{2},{5},{3,6},{4,6}}
{{},{},{1},{1},{2},{5},{3,6},{4,7}}
{{},{},{1},{1},{2},{5},{3,6},{2,3,4}}
{{},{},{1},{1},{2},{5},{3,6},{3,4,5}}
{{},{},{1},{1},{2},{5},{3,6},{3,4,6}}
{{},{},{1},{1},{2},{5},{2,3,4},{7}}
{{},{},{1},{1},{2},{5},{2,3,4},{5,7}}
{{},{},{1},{1},{2},{5},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{5},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{5},{2,3,4},{3,4,6}}
{{},{},{1},{1},{2},{5},{3,4,5},{7}}
{{},{},{1},{1},{2},{5},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{5},{3,4,5},{3,4,6}}
{{},{},{1},{1},{2},{5},{3,4,6},{7}}
{{},{},{1},{1},{2},{5},{3,4,6},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{6},{6}}
{{},{},{1},{1},{2},{1,2},{6},{7}}
{{},{},{1},{1},{2},{1,2},{6},{1,2}}
{{},{},{1},{1},{2},{1,2},{6},{1,5}}
{{},{},{1},{1},{2},{1,2},{6},{2,3}}
{{},{},{1},{1},{2},{1,2},{6},{3,4}}
{{},{},{1},{1},{2},{1,2},{6},{3,5}}
{{},{},{1},{1},{2},{1,2},{6},{3,6}}
{{},{},{1},{1},{2},{1,2},{6},{3,7}}
{{},{},{1},{1},{2},{1,2},{6},{5,6}}
{{},{},{1},{1},{2},{1,2},{6},{5,7}}
{{},{},{1},{1},{2},{1,2},{6},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{6},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{6},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{6},{3,4,7}}
{{},{},{1},{1},{2},{1,2},{6},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{6},{3,5,7}}
{{},{},{1},{1},{2},{1,2},{6},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{6},{3,4,5,7}}
{{},{},{1},{1},{2},{1,2},{1,2},{1,2}}
{{},{},{1},{1},{2},{1,2},{1,2},{1,5}}
{{},{},{1},{1},{2},{1,2},{1,2},{2,3}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,4}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,5}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,6}}
{{},{},{1},{1},{2},{1,2},{1,2},{5,6}}
{{},{},{1},{1},{2},{1,2},{1,2},{6,7}}
{{},{},{1},{1},{2},{1,2},{1,2},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,6,7}}
{{},{},{1},{1},{2},{1,2},{1,2},{5,6,7}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,4,6,7}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,5,6,7}}
{{},{},{1},{1},{2},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{1},{1},{2},{1,2},{1,5},{7}}
{{},{},{1},{1},{2},{1,2},{1,5},{1,5}}
{{},{},{1},{1},{2},{1,2},{1,5},{2,3}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,4}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,5}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,6}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,7}}
{{},{},{1},{1},{2},{1,2},{1,5},{5,6}}
{{},{},{1},{1},{2},{1,2},{1,5},{6,7}}
{{},{},{1},{1},{2},{1,2},{1,5},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,4,7}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,6,7}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{1,5},{3,4,6,7}}
{{},{},{1},{1},{2},{1,2},{2,3},{7}}
{{},{},{1},{1},{2},{1,2},{2,3},{2,3}}
{{},{},{1},{1},{2},{1,2},{2,3},{2,4}}
{{},{},{1},{1},{2},{1,2},{2,3},{3,4}}
{{},{},{1},{1},{2},{1,2},{2,3},{3,5}}
{{},{},{1},{1},{2},{1,2},{2,3},{3,6}}
{{},{},{1},{1},{2},{1,2},{2,3},{4,5}}
{{},{},{1},{1},{2},{1,2},{2,3},{4,6}}
{{},{},{1},{1},{2},{1,2},{2,3},{4,7}}
{{},{},{1},{1},{2},{1,2},{2,3},{5,6}}
{{},{},{1},{1},{2},{1,2},{2,3},{5,7}}
{{},{},{1},{1},{2},{1,2},{2,3},{6,7}}
{{},{},{1},{1},{2},{1,2},{2,3},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{2,3},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{2,3},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{2,3},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{2,3},{4,5,6}}
{{},{},{1},{1},{2},{1,2},{2,3},{4,5,7}}
{{},{},{1},{1},{2},{1,2},{2,3},{4,6,7}}
{{},{},{1},{1},{2},{1,2},{2,3},{5,6,7}}
{{},{},{1},{1},{2},{1,2},{2,3},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{2,3},{4,5,6,7}}
{{},{},{1},{1},{2},{1,2},{3,4},{7}}
{{},{},{1},{1},{2},{1,2},{3,4},{2,7}}
{{},{},{1},{1},{2},{1,2},{3,4},{3,4}}
{{},{},{1},{1},{2},{1,2},{3,4},{3,5}}
{{},{},{1},{1},{2},{1,2},{3,4},{3,6}}
{{},{},{1},{1},{2},{1,2},{3,4},{5,6}}
{{},{},{1},{1},{2},{1,2},{3,4},{5,7}}
{{},{},{1},{1},{2},{1,2},{3,4},{6,7}}
{{},{},{1},{1},{2},{1,2},{3,4},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{3,4},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{3,4},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{3,4},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{3,4},{5,6,7}}
{{},{},{1},{1},{2},{1,2},{3,4},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,5},{7}}
{{},{},{1},{1},{2},{1,2},{3,5},{3,5}}
{{},{},{1},{1},{2},{1,2},{3,5},{3,6}}
{{},{},{1},{1},{2},{1,2},{3,5},{4,5}}
{{},{},{1},{1},{2},{1,2},{3,5},{4,6}}
{{},{},{1},{1},{2},{1,2},{3,5},{4,7}}
{{},{},{1},{1},{2},{1,2},{3,5},{5,6}}
{{},{},{1},{1},{2},{1,2},{3,5},{6,7}}
{{},{},{1},{1},{2},{1,2},{3,5},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{3,5},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{3,5},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{3,5},{4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,5},{4,6,7}}
{{},{},{1},{1},{2},{1,2},{3,5},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,6},{7}}
{{},{},{1},{1},{2},{1,2},{3,6},{3,6}}
{{},{},{1},{1},{2},{1,2},{3,6},{4,6}}
{{},{},{1},{1},{2},{1,2},{3,6},{4,7}}
{{},{},{1},{1},{2},{1,2},{3,6},{5,6}}
{{},{},{1},{1},{2},{1,2},{3,6},{5,7}}
{{},{},{1},{1},{2},{1,2},{3,6},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{3,6},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{3,6},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{3,6},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{3,6},{4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,6},{4,5,7}}
{{},{},{1},{1},{2},{1,2},{3,6},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{5,6},{7}}
{{},{},{1},{1},{2},{1,2},{5,6},{3,7}}
{{},{},{1},{1},{2},{1,2},{5,6},{5,6}}
{{},{},{1},{1},{2},{1,2},{5,6},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{5,6},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{5,6},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{5,6},{3,4,7}}
{{},{},{1},{1},{2},{1,2},{5,6},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{5,6},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{7}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{5,7}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2},{1,2},{2,3,4},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,4,5},{7}}
{{},{},{1},{1},{2},{1,2},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{1,2},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{1,2},{3,4,5},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{3,4,5},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,4,6},{7}}
{{},{},{1},{1},{2},{1,2},{3,4,6},{5,7}}
{{},{},{1},{1},{2},{1,2},{3,4,6},{3,4,6}}
{{},{},{1},{1},{2},{1,2},{3,4,6},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{3,4,6},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,5,6},{7}}
{{},{},{1},{1},{2},{1,2},{3,5,6},{4,7}}
{{},{},{1},{1},{2},{1,2},{3,5,6},{3,5,6}}
{{},{},{1},{1},{2},{1,2},{3,5,6},{4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,5,6},{3,4,5,6}}
{{},{},{1},{1},{2},{1,2},{3,4,5,6},{7}}
{{},{},{1},{1},{2},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{1},{1},{2},{1,5},{6},{6}}
{{},{},{1},{1},{2},{1,5},{6},{7}}
{{},{},{1},{1},{2},{1,5},{6},{1,5}}
{{},{},{1},{1},{2},{1,5},{6},{2,3}}
{{},{},{1},{1},{2},{1,5},{6},{3,4}}
{{},{},{1},{1},{2},{1,5},{6},{3,5}}
{{},{},{1},{1},{2},{1,5},{6},{3,6}}
{{},{},{1},{1},{2},{1,5},{6},{3,7}}
{{},{},{1},{1},{2},{1,5},{6},{2,3,4}}
{{},{},{1},{1},{2},{1,5},{6},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{6},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{6},{3,4,7}}
{{},{},{1},{1},{2},{1,5},{1,5},{1,5}}
{{},{},{1},{1},{2},{1,5},{1,5},{2,3}}
{{},{},{1},{1},{2},{1,5},{1,5},{3,4}}
{{},{},{1},{1},{2},{1,5},{1,5},{3,5}}
{{},{},{1},{1},{2},{1,5},{1,5},{3,6}}
{{},{},{1},{1},{2},{1,5},{1,5},{6,7}}
{{},{},{1},{1},{2},{1,5},{1,5},{2,3,4}}
{{},{},{1},{1},{2},{1,5},{1,5},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{1,5},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{1,5},{3,6,7}}
{{},{},{1},{1},{2},{1,5},{1,5},{3,4,6,7}}
{{},{},{1},{1},{2},{1,5},{2,3},{7}}
{{},{},{1},{1},{2},{1,5},{2,3},{2,3}}
{{},{},{1},{1},{2},{1,5},{2,3},{2,4}}
{{},{},{1},{1},{2},{1,5},{2,3},{3,4}}
{{},{},{1},{1},{2},{1,5},{2,3},{3,5}}
{{},{},{1},{1},{2},{1,5},{2,3},{3,6}}
{{},{},{1},{1},{2},{1,5},{2,3},{4,5}}
{{},{},{1},{1},{2},{1,5},{2,3},{4,6}}
{{},{},{1},{1},{2},{1,5},{2,3},{4,7}}
{{},{},{1},{1},{2},{1,5},{2,3},{5,7}}
{{},{},{1},{1},{2},{1,5},{2,3},{6,7}}
{{},{},{1},{1},{2},{1,5},{2,3},{2,3,4}}
{{},{},{1},{1},{2},{1,5},{2,3},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{2,3},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{2,3},{4,5,7}}
{{},{},{1},{1},{2},{1,5},{2,3},{4,6,7}}
{{},{},{1},{1},{2},{1,5},{3,4},{7}}
{{},{},{1},{1},{2},{1,5},{3,4},{2,7}}
{{},{},{1},{1},{2},{1,5},{3,4},{3,4}}
{{},{},{1},{1},{2},{1,5},{3,4},{3,5}}
{{},{},{1},{1},{2},{1,5},{3,4},{3,6}}
{{},{},{1},{1},{2},{1,5},{3,4},{5,7}}
{{},{},{1},{1},{2},{1,5},{3,4},{6,7}}
{{},{},{1},{1},{2},{1,5},{3,4},{2,3,4}}
{{},{},{1},{1},{2},{1,5},{3,4},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{3,4},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{3,5},{7}}
{{},{},{1},{1},{2},{1,5},{3,5},{3,5}}
{{},{},{1},{1},{2},{1,5},{3,5},{3,6}}
{{},{},{1},{1},{2},{1,5},{3,5},{4,5}}
{{},{},{1},{1},{2},{1,5},{3,5},{4,6}}
{{},{},{1},{1},{2},{1,5},{3,5},{4,7}}
{{},{},{1},{1},{2},{1,5},{3,5},{6,7}}
{{},{},{1},{1},{2},{1,5},{3,5},{2,3,4}}
{{},{},{1},{1},{2},{1,5},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{3,5},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{3,5},{4,6,7}}
{{},{},{1},{1},{2},{1,5},{3,6},{7}}
{{},{},{1},{1},{2},{1,5},{3,6},{3,6}}
{{},{},{1},{1},{2},{1,5},{3,6},{4,6}}
{{},{},{1},{1},{2},{1,5},{3,6},{4,7}}
{{},{},{1},{1},{2},{1,5},{3,6},{2,3,4}}
{{},{},{1},{1},{2},{1,5},{3,6},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{3,6},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{2,3,4},{7}}
{{},{},{1},{1},{2},{1,5},{2,3,4},{5,7}}
{{},{},{1},{1},{2},{1,5},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{1,5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{1,5},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{2,3,4},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{3,4,5},{7}}
{{},{},{1},{1},{2},{1,5},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{1,5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{1,5},{3,4,5},{3,4,6}}
{{},{},{1},{1},{2},{1,5},{3,4,6},{7}}
{{},{},{1},{1},{2},{1,5},{3,4,6},{3,4,6}}
{{},{},{1},{1},{2},{2,3},{6},{6}}
{{},{},{1},{1},{2},{2,3},{6},{7}}
{{},{},{1},{1},{2},{2,3},{6},{2,3}}
{{},{},{1},{1},{2},{2,3},{6},{2,4}}
{{},{},{1},{1},{2},{2,3},{6},{3,4}}
{{},{},{1},{1},{2},{2,3},{6},{3,5}}
{{},{},{1},{1},{2},{2,3},{6},{4,5}}
{{},{},{1},{1},{2},{2,3},{6},{4,6}}
{{},{},{1},{1},{2},{2,3},{6},{4,7}}
{{},{},{1},{1},{2},{2,3},{6},{5,6}}
{{},{},{1},{1},{2},{2,3},{6},{5,7}}
{{},{},{1},{1},{2},{2,3},{6},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{6},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{6},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{6},{4,5,7}}
{{},{},{1},{1},{2},{2,3},{2,3},{2,3}}
{{},{},{1},{1},{2},{2,3},{2,3},{2,4}}
{{},{},{1},{1},{2},{2,3},{2,3},{3,4}}
{{},{},{1},{1},{2},{2,3},{2,3},{3,5}}
{{},{},{1},{1},{2},{2,3},{2,3},{4,5}}
{{},{},{1},{1},{2},{2,3},{2,3},{4,6}}
{{},{},{1},{1},{2},{2,3},{2,3},{5,6}}
{{},{},{1},{1},{2},{2,3},{2,3},{6,7}}
{{},{},{1},{1},{2},{2,3},{2,3},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{2,3},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{2,3},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{2,3},{4,6,7}}
{{},{},{1},{1},{2},{2,3},{2,3},{5,6,7}}
{{},{},{1},{1},{2},{2,3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{2},{2,3},{2,4},{3,4}}
{{},{},{1},{1},{2},{2,3},{2,4},{3,5}}
{{},{},{1},{1},{2},{2,3},{2,4},{3,7}}
{{},{},{1},{1},{2},{2,3},{2,4},{5,6}}
{{},{},{1},{1},{2},{2,3},{2,4},{6,7}}
{{},{},{1},{1},{2},{2,3},{2,4},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{2,4},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{2,4},{3,5,7}}
{{},{},{1},{1},{2},{2,3},{2,4},{5,6,7}}
{{},{},{1},{1},{2},{2,3},{3,4},{7}}
{{},{},{1},{1},{2},{2,3},{3,4},{2,7}}
{{},{},{1},{1},{2},{2,3},{3,4},{3,4}}
{{},{},{1},{1},{2},{2,3},{3,4},{3,5}}
{{},{},{1},{1},{2},{2,3},{3,4},{4,5}}
{{},{},{1},{1},{2},{2,3},{3,4},{4,6}}
{{},{},{1},{1},{2},{2,3},{3,4},{5,6}}
{{},{},{1},{1},{2},{2,3},{3,4},{5,7}}
{{},{},{1},{1},{2},{2,3},{3,4},{6,7}}
{{},{},{1},{1},{2},{2,3},{3,4},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{3,4},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{3,4},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{3,4},{5,6,7}}
{{},{},{1},{1},{2},{2,3},{3,5},{7}}
{{},{},{1},{1},{2},{2,3},{3,5},{3,5}}
{{},{},{1},{1},{2},{2,3},{3,5},{4,5}}
{{},{},{1},{1},{2},{2,3},{3,5},{4,6}}
{{},{},{1},{1},{2},{2,3},{3,5},{4,7}}
{{},{},{1},{1},{2},{2,3},{3,5},{5,6}}
{{},{},{1},{1},{2},{2,3},{3,5},{6,7}}
{{},{},{1},{1},{2},{2,3},{3,5},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{3,5},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{3,5},{4,6,7}}
{{},{},{1},{1},{2},{2,3},{4,5},{7}}
{{},{},{1},{1},{2},{2,3},{4,5},{3,7}}
{{},{},{1},{1},{2},{2,3},{4,5},{4,5}}
{{},{},{1},{1},{2},{2,3},{4,5},{4,6}}
{{},{},{1},{1},{2},{2,3},{4,5},{5,6}}
{{},{},{1},{1},{2},{2,3},{4,5},{6,7}}
{{},{},{1},{1},{2},{2,3},{4,5},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{4,5},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{4,5},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{4,6},{7}}
{{},{},{1},{1},{2},{2,3},{4,6},{4,6}}
{{},{},{1},{1},{2},{2,3},{4,6},{5,6}}
{{},{},{1},{1},{2},{2,3},{4,6},{5,7}}
{{},{},{1},{1},{2},{2,3},{4,6},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{4,6},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{4,6},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{5,6},{7}}
{{},{},{1},{1},{2},{2,3},{5,6},{4,7}}
{{},{},{1},{1},{2},{2,3},{5,6},{5,6}}
{{},{},{1},{1},{2},{2,3},{5,6},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{5,6},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{5,6},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{2,3,4},{7}}
{{},{},{1},{1},{2},{2,3},{2,3,4},{5,7}}
{{},{},{1},{1},{2},{2,3},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{2,3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{2,3},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2},{2,3},{3,4,5},{7}}
{{},{},{1},{1},{2},{2,3},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{2,3},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{2,3},{3,4,5},{4,5,6}}
{{},{},{1},{1},{2},{2,3},{4,5,6},{7}}
{{},{},{1},{1},{2},{2,3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{2},{3,4},{6},{6}}
{{},{},{1},{1},{2},{3,4},{6},{7}}
{{},{},{1},{1},{2},{3,4},{6},{2,6}}
{{},{},{1},{1},{2},{3,4},{6},{2,7}}
{{},{},{1},{1},{2},{3,4},{6},{3,4}}
{{},{},{1},{1},{2},{3,4},{6},{3,5}}
{{},{},{1},{1},{2},{3,4},{6},{5,6}}
{{},{},{1},{1},{2},{3,4},{6},{5,7}}
{{},{},{1},{1},{2},{3,4},{6},{2,3,4}}
{{},{},{1},{1},{2},{3,4},{6},{3,4,5}}
{{},{},{1},{1},{2},{3,4},{2,6},{7}}
{{},{},{1},{1},{2},{3,4},{2,6},{2,6}}
{{},{},{1},{1},{2},{3,4},{2,6},{3,4}}
{{},{},{1},{1},{2},{3,4},{2,6},{3,5}}
{{},{},{1},{1},{2},{3,4},{2,6},{5,6}}
{{},{},{1},{1},{2},{3,4},{2,6},{5,7}}
{{},{},{1},{1},{2},{3,4},{2,6},{2,3,4}}
{{},{},{1},{1},{2},{3,4},{2,6},{3,4,5}}
{{},{},{1},{1},{2},{3,4},{3,4},{3,4}}
{{},{},{1},{1},{2},{3,4},{3,4},{3,5}}
{{},{},{1},{1},{2},{3,4},{3,4},{5,6}}
{{},{},{1},{1},{2},{3,4},{3,4},{6,7}}
{{},{},{1},{1},{2},{3,4},{3,4},{2,3,4}}
{{},{},{1},{1},{2},{3,4},{3,4},{2,6,7}}
{{},{},{1},{1},{2},{3,4},{3,4},{3,4,5}}
{{},{},{1},{1},{2},{3,4},{3,4},{5,6,7}}
{{},{},{1},{1},{2},{3,4},{3,5},{7}}
{{},{},{1},{1},{2},{3,4},{3,5},{3,5}}
{{},{},{1},{1},{2},{3,4},{3,5},{4,5}}
{{},{},{1},{1},{2},{3,4},{3,5},{4,7}}
{{},{},{1},{1},{2},{3,4},{3,5},{5,6}}
{{},{},{1},{1},{2},{3,4},{3,5},{6,7}}
{{},{},{1},{1},{2},{3,4},{3,5},{2,3,4}}
{{},{},{1},{1},{2},{3,4},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{3,4},{5,6},{7}}
{{},{},{1},{1},{2},{3,4},{5,6},{5,6}}
{{},{},{1},{1},{2},{3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{2},{3,4},{5,6},{3,4,5}}
{{},{},{1},{1},{2},{3,4},{2,3,4},{7}}
{{},{},{1},{1},{2},{3,4},{2,3,4},{5,7}}
{{},{},{1},{1},{2},{3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{3,4},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2},{3,4},{3,4,5},{7}}
{{},{},{1},{1},{2},{3,4},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{3,4},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{3,5},{6},{6}}
{{},{},{1},{1},{2},{3,5},{6},{7}}
{{},{},{1},{1},{2},{3,5},{6},{3,5}}
{{},{},{1},{1},{2},{3,5},{6},{4,5}}
{{},{},{1},{1},{2},{3,5},{6},{4,6}}
{{},{},{1},{1},{2},{3,5},{6},{4,7}}
{{},{},{1},{1},{2},{3,5},{6},{2,3,4}}
{{},{},{1},{1},{2},{3,5},{6},{3,4,5}}
{{},{},{1},{1},{2},{3,5},{3,5},{3,5}}
{{},{},{1},{1},{2},{3,5},{3,5},{4,5}}
{{},{},{1},{1},{2},{3,5},{3,5},{4,6}}
{{},{},{1},{1},{2},{3,5},{3,5},{6,7}}
{{},{},{1},{1},{2},{3,5},{3,5},{2,3,4}}
{{},{},{1},{1},{2},{3,5},{3,5},{3,4,5}}
{{},{},{1},{1},{2},{3,5},{3,5},{4,6,7}}
{{},{},{1},{1},{2},{3,5},{4,5},{3,7}}
{{},{},{1},{1},{2},{3,5},{4,5},{6,7}}
{{},{},{1},{1},{2},{3,5},{4,5},{2,3,4}}
{{},{},{1},{1},{2},{3,5},{4,5},{3,4,5}}
{{},{},{1},{1},{2},{3,5},{4,6},{7}}
{{},{},{1},{1},{2},{3,5},{4,6},{4,6}}
{{},{},{1},{1},{2},{3,5},{4,6},{2,3,4}}
{{},{},{1},{1},{2},{3,5},{4,6},{3,4,5}}
{{},{},{1},{1},{2},{3,5},{2,3,4},{7}}
{{},{},{1},{1},{2},{3,5},{2,3,4},{5,7}}
{{},{},{1},{1},{2},{3,5},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{3,5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{3,5},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{3,5},{3,4,5},{7}}
{{},{},{1},{1},{2},{3,5},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{3,5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{2,3,4},{6},{6}}
{{},{},{1},{1},{2},{2,3,4},{6},{7}}
{{},{},{1},{1},{2},{2,3,4},{6},{5,6}}
{{},{},{1},{1},{2},{2,3,4},{6},{5,7}}
{{},{},{1},{1},{2},{2,3,4},{6},{2,3,4}}
{{},{},{1},{1},{2},{2,3,4},{6},{3,4,5}}
{{},{},{1},{1},{2},{2,3,4},{5,6},{7}}
{{},{},{1},{1},{2},{2,3,4},{5,6},{5,6}}
{{},{},{1},{1},{2},{2,3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{2},{2,3,4},{5,6},{3,4,5}}
{{},{},{1},{1},{2},{2,3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{2},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2},{2,3,4},{2,3,4},{3,4,5}}
{{},{},{1},{1},{2},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2},{2,3,4},{3,4,5},{7}}
{{},{},{1},{1},{2},{2,3,4},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{2,3,4},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2},{3,4,5},{6},{6}}
{{},{},{1},{1},{2},{3,4,5},{6},{7}}
{{},{},{1},{1},{2},{3,4,5},{6},{3,4,5}}
{{},{},{1},{1},{2},{3,4,5},{3,4,5},{6,7}}
{{},{},{1},{1},{2},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{3},{3},{3},{3}}
{{},{},{1},{1},{3},{3},{3},{4}}
{{},{},{1},{1},{3},{3},{3},{5}}
{{},{},{1},{1},{3},{3},{3},{1,2}}
{{},{},{1},{1},{3},{3},{3},{2,3}}
{{},{},{1},{1},{3},{3},{3},{2,4}}
{{},{},{1},{1},{3},{3},{3},{2,5}}
{{},{},{1},{1},{3},{3},{3},{3,4}}
{{},{},{1},{1},{3},{3},{3},{4,5}}
{{},{},{1},{1},{3},{3},{3},{5,6}}
{{},{},{1},{1},{3},{3},{3},{2,3,4}}
{{},{},{1},{1},{3},{3},{3},{2,4,5}}
{{},{},{1},{1},{3},{3},{3},{2,5,6}}
{{},{},{1},{1},{3},{3},{3},{4,5,6}}
{{},{},{1},{1},{3},{3},{3},{5,6,7}}
{{},{},{1},{1},{3},{3},{3},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{3},{2,5,6,7}}
{{},{},{1},{1},{3},{3},{3},{4,5,6,7}}
{{},{},{1},{1},{3},{3},{3},{2,4,5,6,7}}
{{},{},{1},{1},{3},{3},{4},{4}}
{{},{},{1},{1},{3},{3},{4},{5}}
{{},{},{1},{1},{3},{3},{4},{7}}
{{},{},{1},{1},{3},{3},{4},{1,2}}
{{},{},{1},{1},{3},{3},{4},{2,3}}
{{},{},{1},{1},{3},{3},{4},{2,4}}
{{},{},{1},{1},{3},{3},{4},{2,5}}
{{},{},{1},{1},{3},{3},{4},{2,7}}
{{},{},{1},{1},{3},{3},{4},{3,4}}
{{},{},{1},{1},{3},{3},{4},{3,7}}
{{},{},{1},{1},{3},{3},{4},{4,5}}
{{},{},{1},{1},{3},{3},{4},{5,6}}
{{},{},{1},{1},{3},{3},{4},{5,7}}
{{},{},{1},{1},{3},{3},{4},{2,3,4}}
{{},{},{1},{1},{3},{3},{4},{2,3,7}}
{{},{},{1},{1},{3},{3},{4},{2,4,5}}
{{},{},{1},{1},{3},{3},{4},{2,5,6}}
{{},{},{1},{1},{3},{3},{4},{2,5,7}}
{{},{},{1},{1},{3},{3},{4},{4,5,6}}
{{},{},{1},{1},{3},{3},{4},{5,6,7}}
{{},{},{1},{1},{3},{3},{4},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{4},{2,5,6,7}}
{{},{},{1},{1},{3},{3},{5},{5}}
{{},{},{1},{1},{3},{3},{5},{6}}
{{},{},{1},{1},{3},{3},{5},{7}}
{{},{},{1},{1},{3},{3},{5},{1,2}}
{{},{},{1},{1},{3},{3},{5},{2,3}}
{{},{},{1},{1},{3},{3},{5},{2,4}}
{{},{},{1},{1},{3},{3},{5},{2,5}}
{{},{},{1},{1},{3},{3},{5},{2,6}}
{{},{},{1},{1},{3},{3},{5},{2,7}}
{{},{},{1},{1},{3},{3},{5},{3,4}}
{{},{},{1},{1},{3},{3},{5},{4,5}}
{{},{},{1},{1},{3},{3},{5},{4,6}}
{{},{},{1},{1},{3},{3},{5},{4,7}}
{{},{},{1},{1},{3},{3},{5},{5,6}}
{{},{},{1},{1},{3},{3},{5},{6,7}}
{{},{},{1},{1},{3},{3},{5},{2,3,4}}
{{},{},{1},{1},{3},{3},{5},{2,4,5}}
{{},{},{1},{1},{3},{3},{5},{2,4,6}}
{{},{},{1},{1},{3},{3},{5},{2,4,7}}
{{},{},{1},{1},{3},{3},{5},{2,5,6}}
{{},{},{1},{1},{3},{3},{5},{2,6,7}}
{{},{},{1},{1},{3},{3},{5},{4,5,6}}
{{},{},{1},{1},{3},{3},{5},{4,6,7}}
{{},{},{1},{1},{3},{3},{5},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{5},{2,4,6,7}}
{{},{},{1},{1},{3},{3},{1,2},{7}}
{{},{},{1},{1},{3},{3},{1,2},{1,2}}
{{},{},{1},{1},{3},{3},{1,2},{2,3}}
{{},{},{1},{1},{3},{3},{1,2},{2,4}}
{{},{},{1},{1},{3},{3},{1,2},{2,5}}
{{},{},{1},{1},{3},{3},{1,2},{3,4}}
{{},{},{1},{1},{3},{3},{1,2},{3,7}}
{{},{},{1},{1},{3},{3},{1,2},{4,5}}
{{},{},{1},{1},{3},{3},{1,2},{4,7}}
{{},{},{1},{1},{3},{3},{1,2},{5,6}}
{{},{},{1},{1},{3},{3},{1,2},{5,7}}
{{},{},{1},{1},{3},{3},{1,2},{2,3,4}}
{{},{},{1},{1},{3},{3},{1,2},{2,4,5}}
{{},{},{1},{1},{3},{3},{1,2},{2,5,6}}
{{},{},{1},{1},{3},{3},{1,2},{3,4,7}}
{{},{},{1},{1},{3},{3},{1,2},{4,5,6}}
{{},{},{1},{1},{3},{3},{1,2},{4,5,7}}
{{},{},{1},{1},{3},{3},{1,2},{5,6,7}}
{{},{},{1},{1},{3},{3},{1,2},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{1,2},{4,5,6,7}}
{{},{},{1},{1},{3},{3},{2,3},{7}}
{{},{},{1},{1},{3},{3},{2,3},{2,3}}
{{},{},{1},{1},{3},{3},{2,3},{2,4}}
{{},{},{1},{1},{3},{3},{2,3},{2,5}}
{{},{},{1},{1},{3},{3},{2,3},{3,4}}
{{},{},{1},{1},{3},{3},{2,3},{4,5}}
{{},{},{1},{1},{3},{3},{2,3},{4,7}}
{{},{},{1},{1},{3},{3},{2,3},{5,6}}
{{},{},{1},{1},{3},{3},{2,3},{5,7}}
{{},{},{1},{1},{3},{3},{2,3},{2,3,4}}
{{},{},{1},{1},{3},{3},{2,3},{2,4,5}}
{{},{},{1},{1},{3},{3},{2,3},{2,5,6}}
{{},{},{1},{1},{3},{3},{2,3},{4,5,6}}
{{},{},{1},{1},{3},{3},{2,3},{4,5,7}}
{{},{},{1},{1},{3},{3},{2,3},{5,6,7}}
{{},{},{1},{1},{3},{3},{2,3},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{3},{3},{2,4},{7}}
{{},{},{1},{1},{3},{3},{2,4},{2,4}}
{{},{},{1},{1},{3},{3},{2,4},{2,5}}
{{},{},{1},{1},{3},{3},{2,4},{3,4}}
{{},{},{1},{1},{3},{3},{2,4},{3,7}}
{{},{},{1},{1},{3},{3},{2,4},{4,5}}
{{},{},{1},{1},{3},{3},{2,4},{5,6}}
{{},{},{1},{1},{3},{3},{2,4},{5,7}}
{{},{},{1},{1},{3},{3},{2,4},{2,3,4}}
{{},{},{1},{1},{3},{3},{2,4},{2,4,5}}
{{},{},{1},{1},{3},{3},{2,4},{2,5,6}}
{{},{},{1},{1},{3},{3},{2,4},{4,5,6}}
{{},{},{1},{1},{3},{3},{2,4},{5,6,7}}
{{},{},{1},{1},{3},{3},{2,4},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{2,5},{7}}
{{},{},{1},{1},{3},{3},{2,5},{2,5}}
{{},{},{1},{1},{3},{3},{2,5},{2,6}}
{{},{},{1},{1},{3},{3},{2,5},{3,4}}
{{},{},{1},{1},{3},{3},{2,5},{4,5}}
{{},{},{1},{1},{3},{3},{2,5},{4,6}}
{{},{},{1},{1},{3},{3},{2,5},{4,7}}
{{},{},{1},{1},{3},{3},{2,5},{5,6}}
{{},{},{1},{1},{3},{3},{2,5},{6,7}}
{{},{},{1},{1},{3},{3},{2,5},{2,3,4}}
{{},{},{1},{1},{3},{3},{2,5},{2,4,5}}
{{},{},{1},{1},{3},{3},{2,5},{2,4,6}}
{{},{},{1},{1},{3},{3},{2,5},{2,5,6}}
{{},{},{1},{1},{3},{3},{2,5},{4,5,6}}
{{},{},{1},{1},{3},{3},{2,5},{4,6,7}}
{{},{},{1},{1},{3},{3},{2,5},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{3,4},{7}}
{{},{},{1},{1},{3},{3},{3,4},{2,7}}
{{},{},{1},{1},{3},{3},{3,4},{3,4}}
{{},{},{1},{1},{3},{3},{3,4},{4,5}}
{{},{},{1},{1},{3},{3},{3,4},{5,6}}
{{},{},{1},{1},{3},{3},{3,4},{5,7}}
{{},{},{1},{1},{3},{3},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{3},{3,4},{2,4,5}}
{{},{},{1},{1},{3},{3},{3,4},{2,5,6}}
{{},{},{1},{1},{3},{3},{3,4},{2,5,7}}
{{},{},{1},{1},{3},{3},{3,4},{4,5,6}}
{{},{},{1},{1},{3},{3},{3,4},{5,6,7}}
{{},{},{1},{1},{3},{3},{3,4},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{3,4},{2,5,6,7}}
{{},{},{1},{1},{3},{3},{4,5},{7}}
{{},{},{1},{1},{3},{3},{4,5},{2,7}}
{{},{},{1},{1},{3},{3},{4,5},{4,5}}
{{},{},{1},{1},{3},{3},{4,5},{4,6}}
{{},{},{1},{1},{3},{3},{4,5},{5,6}}
{{},{},{1},{1},{3},{3},{4,5},{6,7}}
{{},{},{1},{1},{3},{3},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{3},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{3},{4,5},{2,4,6}}
{{},{},{1},{1},{3},{3},{4,5},{2,5,6}}
{{},{},{1},{1},{3},{3},{4,5},{2,6,7}}
{{},{},{1},{1},{3},{3},{4,5},{4,5,6}}
{{},{},{1},{1},{3},{3},{4,5},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{5,6},{7}}
{{},{},{1},{1},{3},{3},{5,6},{2,7}}
{{},{},{1},{1},{3},{3},{5,6},{4,7}}
{{},{},{1},{1},{3},{3},{5,6},{5,6}}
{{},{},{1},{1},{3},{3},{5,6},{2,3,4}}
{{},{},{1},{1},{3},{3},{5,6},{2,4,5}}
{{},{},{1},{1},{3},{3},{5,6},{2,4,7}}
{{},{},{1},{1},{3},{3},{5,6},{2,5,6}}
{{},{},{1},{1},{3},{3},{5,6},{4,5,6}}
{{},{},{1},{1},{3},{3},{5,6},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{2,3,4},{7}}
{{},{},{1},{1},{3},{3},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{3},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{3},{2,3,4},{2,5,6}}
{{},{},{1},{1},{3},{3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{3},{3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3},{3},{2,3,4},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{2,4,5},{7}}
{{},{},{1},{1},{3},{3},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{3},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{3},{2,4,5},{2,4,6}}
{{},{},{1},{1},{3},{3},{2,4,5},{2,5,6}}
{{},{},{1},{1},{3},{3},{2,4,5},{4,5,6}}
{{},{},{1},{1},{3},{3},{2,4,5},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{2,5,6},{7}}
{{},{},{1},{1},{3},{3},{2,5,6},{4,7}}
{{},{},{1},{1},{3},{3},{2,5,6},{2,5,6}}
{{},{},{1},{1},{3},{3},{2,5,6},{4,5,6}}
{{},{},{1},{1},{3},{3},{2,5,6},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{4,5,6},{7}}
{{},{},{1},{1},{3},{3},{4,5,6},{2,7}}
{{},{},{1},{1},{3},{3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{3},{3},{4,5,6},{2,4,5,6}}
{{},{},{1},{1},{3},{3},{2,4,5,6},{7}}
{{},{},{1},{1},{3},{3},{2,4,5,6},{2,4,5,6}}
{{},{},{1},{1},{3},{4},{5},{5}}
{{},{},{1},{1},{3},{4},{5},{6}}
{{},{},{1},{1},{3},{4},{5},{7}}
{{},{},{1},{1},{3},{4},{5},{1,2}}
{{},{},{1},{1},{3},{4},{5},{2,3}}
{{},{},{1},{1},{3},{4},{5},{2,4}}
{{},{},{1},{1},{3},{4},{5},{2,5}}
{{},{},{1},{1},{3},{4},{5},{2,6}}
{{},{},{1},{1},{3},{4},{5},{2,7}}
{{},{},{1},{1},{3},{4},{5},{3,4}}
{{},{},{1},{1},{3},{4},{5},{3,6}}
{{},{},{1},{1},{3},{4},{5},{4,5}}
{{},{},{1},{1},{3},{4},{5},{4,7}}
{{},{},{1},{1},{3},{4},{5},{5,6}}
{{},{},{1},{1},{3},{4},{5},{6,7}}
{{},{},{1},{1},{3},{4},{5},{2,3,4}}
{{},{},{1},{1},{3},{4},{5},{2,3,6}}
{{},{},{1},{1},{3},{4},{5},{2,4,5}}
{{},{},{1},{1},{3},{4},{5},{2,4,7}}
{{},{},{1},{1},{3},{4},{5},{2,5,6}}
{{},{},{1},{1},{3},{4},{5},{2,6,7}}
{{},{},{1},{1},{3},{4},{1,2},{7}}
{{},{},{1},{1},{3},{4},{1,2},{1,2}}
{{},{},{1},{1},{3},{4},{1,2},{2,3}}
{{},{},{1},{1},{3},{4},{1,2},{2,5}}
{{},{},{1},{1},{3},{4},{1,2},{3,4}}
{{},{},{1},{1},{3},{4},{1,2},{3,6}}
{{},{},{1},{1},{3},{4},{1,2},{3,7}}
{{},{},{1},{1},{3},{4},{1,2},{5,6}}
{{},{},{1},{1},{3},{4},{1,2},{5,7}}
{{},{},{1},{1},{3},{4},{1,2},{2,3,4}}
{{},{},{1},{1},{3},{4},{1,2},{2,3,6}}
{{},{},{1},{1},{3},{4},{1,2},{2,5,6}}
{{},{},{1},{1},{3},{4},{1,2},{3,4,7}}
{{},{},{1},{1},{3},{4},{1,2},{3,6,7}}
{{},{},{1},{1},{3},{4},{1,2},{5,6,7}}
{{},{},{1},{1},{3},{4},{2,3},{7}}
{{},{},{1},{1},{3},{4},{2,3},{2,3}}
{{},{},{1},{1},{3},{4},{2,3},{2,4}}
{{},{},{1},{1},{3},{4},{2,3},{2,5}}
{{},{},{1},{1},{3},{4},{2,3},{2,6}}
{{},{},{1},{1},{3},{4},{2,3},{3,4}}
{{},{},{1},{1},{3},{4},{2,3},{3,6}}
{{},{},{1},{1},{3},{4},{2,3},{4,5}}
{{},{},{1},{1},{3},{4},{2,3},{4,7}}
{{},{},{1},{1},{3},{4},{2,3},{5,6}}
{{},{},{1},{1},{3},{4},{2,3},{5,7}}
{{},{},{1},{1},{3},{4},{2,3},{6,7}}
{{},{},{1},{1},{3},{4},{2,3},{2,3,4}}
{{},{},{1},{1},{3},{4},{2,3},{2,3,6}}
{{},{},{1},{1},{3},{4},{2,3},{2,4,5}}
{{},{},{1},{1},{3},{4},{2,3},{2,5,6}}
{{},{},{1},{1},{3},{4},{2,3},{4,5,7}}
{{},{},{1},{1},{3},{4},{2,3},{5,6,7}}
{{},{},{1},{1},{3},{4},{2,5},{7}}
{{},{},{1},{1},{3},{4},{2,5},{2,5}}
{{},{},{1},{1},{3},{4},{2,5},{2,6}}
{{},{},{1},{1},{3},{4},{2,5},{3,4}}
{{},{},{1},{1},{3},{4},{2,5},{3,6}}
{{},{},{1},{1},{3},{4},{2,5},{4,5}}
{{},{},{1},{1},{3},{4},{2,5},{4,7}}
{{},{},{1},{1},{3},{4},{2,5},{5,6}}
{{},{},{1},{1},{3},{4},{2,5},{6,7}}
{{},{},{1},{1},{3},{4},{2,5},{2,3,4}}
{{},{},{1},{1},{3},{4},{2,5},{2,3,6}}
{{},{},{1},{1},{3},{4},{2,5},{2,4,5}}
{{},{},{1},{1},{3},{4},{2,5},{2,5,6}}
{{},{},{1},{1},{3},{4},{3,4},{7}}
{{},{},{1},{1},{3},{4},{3,4},{2,7}}
{{},{},{1},{1},{3},{4},{3,4},{3,4}}
{{},{},{1},{1},{3},{4},{3,4},{3,6}}
{{},{},{1},{1},{3},{4},{3,4},{5,6}}
{{},{},{1},{1},{3},{4},{3,4},{5,7}}
{{},{},{1},{1},{3},{4},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{4},{3,4},{2,3,6}}
{{},{},{1},{1},{3},{4},{3,4},{2,5,6}}
{{},{},{1},{1},{3},{4},{3,4},{2,5,7}}
{{},{},{1},{1},{3},{4},{3,4},{5,6,7}}
{{},{},{1},{1},{3},{4},{3,4},{2,5,6,7}}
{{},{},{1},{1},{3},{4},{3,6},{7}}
{{},{},{1},{1},{3},{4},{3,6},{2,7}}
{{},{},{1},{1},{3},{4},{3,6},{3,6}}
{{},{},{1},{1},{3},{4},{3,6},{4,5}}
{{},{},{1},{1},{3},{4},{3,6},{5,6}}
{{},{},{1},{1},{3},{4},{3,6},{5,7}}
{{},{},{1},{1},{3},{4},{3,6},{2,3,4}}
{{},{},{1},{1},{3},{4},{3,6},{2,3,6}}
{{},{},{1},{1},{3},{4},{3,6},{2,4,5}}
{{},{},{1},{1},{3},{4},{3,6},{2,5,6}}
{{},{},{1},{1},{3},{4},{3,6},{2,5,7}}
{{},{},{1},{1},{3},{4},{5,6},{7}}
{{},{},{1},{1},{3},{4},{5,6},{2,7}}
{{},{},{1},{1},{3},{4},{5,6},{5,6}}
{{},{},{1},{1},{3},{4},{5,6},{2,3,4}}
{{},{},{1},{1},{3},{4},{5,6},{2,3,6}}
{{},{},{1},{1},{3},{4},{5,6},{2,5,6}}
{{},{},{1},{1},{3},{4},{2,3,4},{7}}
{{},{},{1},{1},{3},{4},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{4},{2,3,4},{2,3,6}}
{{},{},{1},{1},{3},{4},{2,3,4},{2,5,6}}
{{},{},{1},{1},{3},{4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3},{4},{2,3,6},{7}}
{{},{},{1},{1},{3},{4},{2,3,6},{5,7}}
{{},{},{1},{1},{3},{4},{2,3,6},{2,3,6}}
{{},{},{1},{1},{3},{4},{2,3,6},{2,4,5}}
{{},{},{1},{1},{3},{4},{2,3,6},{2,5,6}}
{{},{},{1},{1},{3},{4},{2,5,6},{7}}
{{},{},{1},{1},{3},{4},{2,5,6},{2,5,6}}
{{},{},{1},{1},{3},{5},{5},{5}}
{{},{},{1},{1},{3},{5},{5},{6}}
{{},{},{1},{1},{3},{5},{5},{1,2}}
{{},{},{1},{1},{3},{5},{5},{2,3}}
{{},{},{1},{1},{3},{5},{5},{2,4}}
{{},{},{1},{1},{3},{5},{5},{2,5}}
{{},{},{1},{1},{3},{5},{5},{2,6}}
{{},{},{1},{1},{3},{5},{5},{3,4}}
{{},{},{1},{1},{3},{5},{5},{4,5}}
{{},{},{1},{1},{3},{5},{5},{4,6}}
{{},{},{1},{1},{3},{5},{5},{6,7}}
{{},{},{1},{1},{3},{5},{5},{2,3,4}}
{{},{},{1},{1},{3},{5},{5},{2,4,5}}
{{},{},{1},{1},{3},{5},{5},{2,4,6}}
{{},{},{1},{1},{3},{5},{5},{2,6,7}}
{{},{},{1},{1},{3},{5},{5},{4,6,7}}
{{},{},{1},{1},{3},{5},{5},{2,4,6,7}}
{{},{},{1},{1},{3},{5},{6},{6}}
{{},{},{1},{1},{3},{5},{6},{7}}
{{},{},{1},{1},{3},{5},{6},{1,2}}
{{},{},{1},{1},{3},{5},{6},{2,3}}
{{},{},{1},{1},{3},{5},{6},{2,4}}
{{},{},{1},{1},{3},{5},{6},{2,5}}
{{},{},{1},{1},{3},{5},{6},{2,6}}
{{},{},{1},{1},{3},{5},{6},{2,7}}
{{},{},{1},{1},{3},{5},{6},{3,4}}
{{},{},{1},{1},{3},{5},{6},{4,5}}
{{},{},{1},{1},{3},{5},{6},{4,6}}
{{},{},{1},{1},{3},{5},{6},{4,7}}
{{},{},{1},{1},{3},{5},{6},{2,3,4}}
{{},{},{1},{1},{3},{5},{6},{2,4,5}}
{{},{},{1},{1},{3},{5},{6},{2,4,6}}
{{},{},{1},{1},{3},{5},{6},{2,4,7}}
{{},{},{1},{1},{3},{5},{1,2},{7}}
{{},{},{1},{1},{3},{5},{1,2},{1,2}}
{{},{},{1},{1},{3},{5},{1,2},{2,3}}
{{},{},{1},{1},{3},{5},{1,2},{2,4}}
{{},{},{1},{1},{3},{5},{1,2},{2,5}}
{{},{},{1},{1},{3},{5},{1,2},{2,6}}
{{},{},{1},{1},{3},{5},{1,2},{3,4}}
{{},{},{1},{1},{3},{5},{1,2},{3,7}}
{{},{},{1},{1},{3},{5},{1,2},{4,5}}
{{},{},{1},{1},{3},{5},{1,2},{4,6}}
{{},{},{1},{1},{3},{5},{1,2},{4,7}}
{{},{},{1},{1},{3},{5},{1,2},{5,7}}
{{},{},{1},{1},{3},{5},{1,2},{6,7}}
{{},{},{1},{1},{3},{5},{1,2},{2,3,4}}
{{},{},{1},{1},{3},{5},{1,2},{2,4,5}}
{{},{},{1},{1},{3},{5},{1,2},{2,4,6}}
{{},{},{1},{1},{3},{5},{1,2},{3,4,7}}
{{},{},{1},{1},{3},{5},{1,2},{4,5,7}}
{{},{},{1},{1},{3},{5},{1,2},{4,6,7}}
{{},{},{1},{1},{3},{5},{2,3},{7}}
{{},{},{1},{1},{3},{5},{2,3},{2,3}}
{{},{},{1},{1},{3},{5},{2,3},{2,4}}
{{},{},{1},{1},{3},{5},{2,3},{2,5}}
{{},{},{1},{1},{3},{5},{2,3},{2,6}}
{{},{},{1},{1},{3},{5},{2,3},{3,4}}
{{},{},{1},{1},{3},{5},{2,3},{4,5}}
{{},{},{1},{1},{3},{5},{2,3},{4,6}}
{{},{},{1},{1},{3},{5},{2,3},{4,7}}
{{},{},{1},{1},{3},{5},{2,3},{5,7}}
{{},{},{1},{1},{3},{5},{2,3},{6,7}}
{{},{},{1},{1},{3},{5},{2,3},{2,3,4}}
{{},{},{1},{1},{3},{5},{2,3},{2,4,5}}
{{},{},{1},{1},{3},{5},{2,3},{2,4,6}}
{{},{},{1},{1},{3},{5},{2,3},{4,5,7}}
{{},{},{1},{1},{3},{5},{2,3},{4,6,7}}
{{},{},{1},{1},{3},{5},{2,4},{7}}
{{},{},{1},{1},{3},{5},{2,4},{2,4}}
{{},{},{1},{1},{3},{5},{2,4},{2,5}}
{{},{},{1},{1},{3},{5},{2,4},{2,6}}
{{},{},{1},{1},{3},{5},{2,4},{3,4}}
{{},{},{1},{1},{3},{5},{2,4},{3,7}}
{{},{},{1},{1},{3},{5},{2,4},{4,5}}
{{},{},{1},{1},{3},{5},{2,4},{4,6}}
{{},{},{1},{1},{3},{5},{2,4},{5,7}}
{{},{},{1},{1},{3},{5},{2,4},{6,7}}
{{},{},{1},{1},{3},{5},{2,4},{2,3,4}}
{{},{},{1},{1},{3},{5},{2,4},{2,4,5}}
{{},{},{1},{1},{3},{5},{2,4},{2,4,6}}
{{},{},{1},{1},{3},{5},{2,5},{7}}
{{},{},{1},{1},{3},{5},{2,5},{2,5}}
{{},{},{1},{1},{3},{5},{2,5},{2,6}}
{{},{},{1},{1},{3},{5},{2,5},{3,4}}
{{},{},{1},{1},{3},{5},{2,5},{4,5}}
{{},{},{1},{1},{3},{5},{2,5},{4,6}}
{{},{},{1},{1},{3},{5},{2,5},{4,7}}
{{},{},{1},{1},{3},{5},{2,5},{6,7}}
{{},{},{1},{1},{3},{5},{2,5},{2,3,4}}
{{},{},{1},{1},{3},{5},{2,5},{2,4,5}}
{{},{},{1},{1},{3},{5},{2,5},{2,4,6}}
{{},{},{1},{1},{3},{5},{2,5},{4,6,7}}
{{},{},{1},{1},{3},{5},{2,6},{7}}
{{},{},{1},{1},{3},{5},{2,6},{2,6}}
{{},{},{1},{1},{3},{5},{2,6},{3,4}}
{{},{},{1},{1},{3},{5},{2,6},{4,5}}
{{},{},{1},{1},{3},{5},{2,6},{4,6}}
{{},{},{1},{1},{3},{5},{2,6},{4,7}}
{{},{},{1},{1},{3},{5},{2,6},{2,3,4}}
{{},{},{1},{1},{3},{5},{2,6},{2,4,5}}
{{},{},{1},{1},{3},{5},{2,6},{2,4,6}}
{{},{},{1},{1},{3},{5},{3,4},{7}}
{{},{},{1},{1},{3},{5},{3,4},{2,7}}
{{},{},{1},{1},{3},{5},{3,4},{3,4}}
{{},{},{1},{1},{3},{5},{3,4},{4,5}}
{{},{},{1},{1},{3},{5},{3,4},{4,6}}
{{},{},{1},{1},{3},{5},{3,4},{5,7}}
{{},{},{1},{1},{3},{5},{3,4},{6,7}}
{{},{},{1},{1},{3},{5},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{5},{3,4},{2,4,5}}
{{},{},{1},{1},{3},{5},{3,4},{2,4,6}}
{{},{},{1},{1},{3},{5},{3,4},{2,5,7}}
{{},{},{1},{1},{3},{5},{3,4},{2,6,7}}
{{},{},{1},{1},{3},{5},{4,5},{7}}
{{},{},{1},{1},{3},{5},{4,5},{2,7}}
{{},{},{1},{1},{3},{5},{4,5},{4,5}}
{{},{},{1},{1},{3},{5},{4,5},{4,6}}
{{},{},{1},{1},{3},{5},{4,5},{6,7}}
{{},{},{1},{1},{3},{5},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{5},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{5},{4,5},{2,4,6}}
{{},{},{1},{1},{3},{5},{4,5},{2,6,7}}
{{},{},{1},{1},{3},{5},{4,6},{7}}
{{},{},{1},{1},{3},{5},{4,6},{2,7}}
{{},{},{1},{1},{3},{5},{4,6},{4,6}}
{{},{},{1},{1},{3},{5},{4,6},{2,3,4}}
{{},{},{1},{1},{3},{5},{4,6},{2,4,5}}
{{},{},{1},{1},{3},{5},{4,6},{2,4,6}}
{{},{},{1},{1},{3},{5},{2,3,4},{7}}
{{},{},{1},{1},{3},{5},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{5},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{5},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{5},{2,3,4},{2,4,6}}
{{},{},{1},{1},{3},{5},{2,4,5},{7}}
{{},{},{1},{1},{3},{5},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{5},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{5},{2,4,5},{2,4,6}}
{{},{},{1},{1},{3},{5},{2,4,6},{7}}
{{},{},{1},{1},{3},{5},{2,4,6},{2,4,6}}
{{},{},{1},{1},{3},{1,2},{6},{6}}
{{},{},{1},{1},{3},{1,2},{6},{7}}
{{},{},{1},{1},{3},{1,2},{6},{1,2}}
{{},{},{1},{1},{3},{1,2},{6},{2,3}}
{{},{},{1},{1},{3},{1,2},{6},{2,4}}
{{},{},{1},{1},{3},{1,2},{6},{2,5}}
{{},{},{1},{1},{3},{1,2},{6},{3,4}}
{{},{},{1},{1},{3},{1,2},{6},{3,6}}
{{},{},{1},{1},{3},{1,2},{6},{3,7}}
{{},{},{1},{1},{3},{1,2},{6},{4,5}}
{{},{},{1},{1},{3},{1,2},{6},{4,6}}
{{},{},{1},{1},{3},{1,2},{6},{4,7}}
{{},{},{1},{1},{3},{1,2},{6},{5,6}}
{{},{},{1},{1},{3},{1,2},{6},{5,7}}
{{},{},{1},{1},{3},{1,2},{6},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{6},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{6},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{6},{3,4,7}}
{{},{},{1},{1},{3},{1,2},{6},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{6},{4,5,7}}
{{},{},{1},{1},{3},{1,2},{1,2},{1,2}}
{{},{},{1},{1},{3},{1,2},{1,2},{2,3}}
{{},{},{1},{1},{3},{1,2},{1,2},{2,4}}
{{},{},{1},{1},{3},{1,2},{1,2},{2,5}}
{{},{},{1},{1},{3},{1,2},{1,2},{3,4}}
{{},{},{1},{1},{3},{1,2},{1,2},{3,6}}
{{},{},{1},{1},{3},{1,2},{1,2},{4,5}}
{{},{},{1},{1},{3},{1,2},{1,2},{4,6}}
{{},{},{1},{1},{3},{1,2},{1,2},{5,6}}
{{},{},{1},{1},{3},{1,2},{1,2},{6,7}}
{{},{},{1},{1},{3},{1,2},{1,2},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{1,2},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{1,2},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{1,2},{3,6,7}}
{{},{},{1},{1},{3},{1,2},{1,2},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{1,2},{4,6,7}}
{{},{},{1},{1},{3},{1,2},{1,2},{5,6,7}}
{{},{},{1},{1},{3},{1,2},{1,2},{3,4,6,7}}
{{},{},{1},{1},{3},{1,2},{1,2},{4,5,6,7}}
{{},{},{1},{1},{3},{1,2},{2,3},{7}}
{{},{},{1},{1},{3},{1,2},{2,3},{2,3}}
{{},{},{1},{1},{3},{1,2},{2,3},{2,4}}
{{},{},{1},{1},{3},{1,2},{2,3},{2,5}}
{{},{},{1},{1},{3},{1,2},{2,3},{3,4}}
{{},{},{1},{1},{3},{1,2},{2,3},{3,6}}
{{},{},{1},{1},{3},{1,2},{2,3},{4,5}}
{{},{},{1},{1},{3},{1,2},{2,3},{4,6}}
{{},{},{1},{1},{3},{1,2},{2,3},{4,7}}
{{},{},{1},{1},{3},{1,2},{2,3},{5,6}}
{{},{},{1},{1},{3},{1,2},{2,3},{5,7}}
{{},{},{1},{1},{3},{1,2},{2,3},{6,7}}
{{},{},{1},{1},{3},{1,2},{2,3},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{2,3},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{2,3},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{2,3},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{2,3},{4,5,7}}
{{},{},{1},{1},{3},{1,2},{2,3},{4,6,7}}
{{},{},{1},{1},{3},{1,2},{2,3},{5,6,7}}
{{},{},{1},{1},{3},{1,2},{2,3},{4,5,6,7}}
{{},{},{1},{1},{3},{1,2},{2,4},{7}}
{{},{},{1},{1},{3},{1,2},{2,4},{2,4}}
{{},{},{1},{1},{3},{1,2},{2,4},{2,5}}
{{},{},{1},{1},{3},{1,2},{2,4},{3,4}}
{{},{},{1},{1},{3},{1,2},{2,4},{3,6}}
{{},{},{1},{1},{3},{1,2},{2,4},{3,7}}
{{},{},{1},{1},{3},{1,2},{2,4},{4,5}}
{{},{},{1},{1},{3},{1,2},{2,4},{4,6}}
{{},{},{1},{1},{3},{1,2},{2,4},{5,6}}
{{},{},{1},{1},{3},{1,2},{2,4},{5,7}}
{{},{},{1},{1},{3},{1,2},{2,4},{6,7}}
{{},{},{1},{1},{3},{1,2},{2,4},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{2,4},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{2,4},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{2,4},{3,6,7}}
{{},{},{1},{1},{3},{1,2},{2,4},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{2,4},{5,6,7}}
{{},{},{1},{1},{3},{1,2},{2,5},{7}}
{{},{},{1},{1},{3},{1,2},{2,5},{2,5}}
{{},{},{1},{1},{3},{1,2},{2,5},{3,4}}
{{},{},{1},{1},{3},{1,2},{2,5},{3,6}}
{{},{},{1},{1},{3},{1,2},{2,5},{4,5}}
{{},{},{1},{1},{3},{1,2},{2,5},{4,6}}
{{},{},{1},{1},{3},{1,2},{2,5},{4,7}}
{{},{},{1},{1},{3},{1,2},{2,5},{5,6}}
{{},{},{1},{1},{3},{1,2},{2,5},{6,7}}
{{},{},{1},{1},{3},{1,2},{2,5},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{2,5},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{2,5},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{2,5},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{2,5},{4,6,7}}
{{},{},{1},{1},{3},{1,2},{3,4},{7}}
{{},{},{1},{1},{3},{1,2},{3,4},{2,7}}
{{},{},{1},{1},{3},{1,2},{3,4},{3,4}}
{{},{},{1},{1},{3},{1,2},{3,4},{3,6}}
{{},{},{1},{1},{3},{1,2},{3,4},{4,5}}
{{},{},{1},{1},{3},{1,2},{3,4},{4,6}}
{{},{},{1},{1},{3},{1,2},{3,4},{5,6}}
{{},{},{1},{1},{3},{1,2},{3,4},{5,7}}
{{},{},{1},{1},{3},{1,2},{3,4},{6,7}}
{{},{},{1},{1},{3},{1,2},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{3,4},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{3,4},{2,5,7}}
{{},{},{1},{1},{3},{1,2},{3,4},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{3,4},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{3,4},{5,6,7}}
{{},{},{1},{1},{3},{1,2},{3,6},{7}}
{{},{},{1},{1},{3},{1,2},{3,6},{3,6}}
{{},{},{1},{1},{3},{1,2},{3,6},{4,5}}
{{},{},{1},{1},{3},{1,2},{3,6},{4,6}}
{{},{},{1},{1},{3},{1,2},{3,6},{4,7}}
{{},{},{1},{1},{3},{1,2},{3,6},{5,6}}
{{},{},{1},{1},{3},{1,2},{3,6},{5,7}}
{{},{},{1},{1},{3},{1,2},{3,6},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{3,6},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{3,6},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{3,6},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{3,6},{4,5,7}}
{{},{},{1},{1},{3},{1,2},{4,5},{7}}
{{},{},{1},{1},{3},{1,2},{4,5},{2,7}}
{{},{},{1},{1},{3},{1,2},{4,5},{4,5}}
{{},{},{1},{1},{3},{1,2},{4,5},{4,6}}
{{},{},{1},{1},{3},{1,2},{4,5},{5,6}}
{{},{},{1},{1},{3},{1,2},{4,5},{6,7}}
{{},{},{1},{1},{3},{1,2},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{4,5},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{4,5},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{4,6},{7}}
{{},{},{1},{1},{3},{1,2},{4,6},{3,7}}
{{},{},{1},{1},{3},{1,2},{4,6},{4,6}}
{{},{},{1},{1},{3},{1,2},{4,6},{5,6}}
{{},{},{1},{1},{3},{1,2},{4,6},{5,7}}
{{},{},{1},{1},{3},{1,2},{4,6},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{4,6},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{4,6},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{4,6},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{5,6},{7}}
{{},{},{1},{1},{3},{1,2},{5,6},{4,7}}
{{},{},{1},{1},{3},{1,2},{5,6},{5,6}}
{{},{},{1},{1},{3},{1,2},{5,6},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{5,6},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{5,6},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{5,6},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{7}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3},{1,2},{2,4,5},{7}}
{{},{},{1},{1},{3},{1,2},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{1,2},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{1,2},{2,4,5},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{2,4,5},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{3,4,6},{7}}
{{},{},{1},{1},{3},{1,2},{3,4,6},{5,7}}
{{},{},{1},{1},{3},{1,2},{3,4,6},{3,4,6}}
{{},{},{1},{1},{3},{1,2},{3,4,6},{4,5,6}}
{{},{},{1},{1},{3},{1,2},{4,5,6},{7}}
{{},{},{1},{1},{3},{1,2},{4,5,6},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{6},{6}}
{{},{},{1},{1},{3},{2,3},{6},{7}}
{{},{},{1},{1},{3},{2,3},{6},{2,3}}
{{},{},{1},{1},{3},{2,3},{6},{2,4}}
{{},{},{1},{1},{3},{2,3},{6},{2,5}}
{{},{},{1},{1},{3},{2,3},{6},{3,4}}
{{},{},{1},{1},{3},{2,3},{6},{4,5}}
{{},{},{1},{1},{3},{2,3},{6},{4,6}}
{{},{},{1},{1},{3},{2,3},{6},{4,7}}
{{},{},{1},{1},{3},{2,3},{6},{5,6}}
{{},{},{1},{1},{3},{2,3},{6},{5,7}}
{{},{},{1},{1},{3},{2,3},{6},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{6},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{6},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{6},{4,5,7}}
{{},{},{1},{1},{3},{2,3},{2,3},{2,3}}
{{},{},{1},{1},{3},{2,3},{2,3},{2,4}}
{{},{},{1},{1},{3},{2,3},{2,3},{2,5}}
{{},{},{1},{1},{3},{2,3},{2,3},{3,4}}
{{},{},{1},{1},{3},{2,3},{2,3},{4,5}}
{{},{},{1},{1},{3},{2,3},{2,3},{4,6}}
{{},{},{1},{1},{3},{2,3},{2,3},{5,6}}
{{},{},{1},{1},{3},{2,3},{2,3},{6,7}}
{{},{},{1},{1},{3},{2,3},{2,3},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{2,3},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{2,3},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{2,3},{4,6,7}}
{{},{},{1},{1},{3},{2,3},{2,3},{5,6,7}}
{{},{},{1},{1},{3},{2,3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{3},{2,3},{2,4},{7}}
{{},{},{1},{1},{3},{2,3},{2,4},{2,4}}
{{},{},{1},{1},{3},{2,3},{2,4},{2,5}}
{{},{},{1},{1},{3},{2,3},{2,4},{3,4}}
{{},{},{1},{1},{3},{2,3},{2,4},{3,7}}
{{},{},{1},{1},{3},{2,3},{2,4},{4,5}}
{{},{},{1},{1},{3},{2,3},{2,4},{4,6}}
{{},{},{1},{1},{3},{2,3},{2,4},{5,6}}
{{},{},{1},{1},{3},{2,3},{2,4},{5,7}}
{{},{},{1},{1},{3},{2,3},{2,4},{6,7}}
{{},{},{1},{1},{3},{2,3},{2,4},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{2,4},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{2,4},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{2,4},{5,6,7}}
{{},{},{1},{1},{3},{2,3},{2,5},{7}}
{{},{},{1},{1},{3},{2,3},{2,5},{2,5}}
{{},{},{1},{1},{3},{2,3},{2,5},{3,4}}
{{},{},{1},{1},{3},{2,3},{2,5},{4,5}}
{{},{},{1},{1},{3},{2,3},{2,5},{4,6}}
{{},{},{1},{1},{3},{2,3},{2,5},{4,7}}
{{},{},{1},{1},{3},{2,3},{2,5},{5,6}}
{{},{},{1},{1},{3},{2,3},{2,5},{6,7}}
{{},{},{1},{1},{3},{2,3},{2,5},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{2,5},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{2,5},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{2,5},{4,6,7}}
{{},{},{1},{1},{3},{2,3},{3,4},{7}}
{{},{},{1},{1},{3},{2,3},{3,4},{2,7}}
{{},{},{1},{1},{3},{2,3},{3,4},{3,4}}
{{},{},{1},{1},{3},{2,3},{3,4},{4,5}}
{{},{},{1},{1},{3},{2,3},{3,4},{4,6}}
{{},{},{1},{1},{3},{2,3},{3,4},{5,6}}
{{},{},{1},{1},{3},{2,3},{3,4},{5,7}}
{{},{},{1},{1},{3},{2,3},{3,4},{6,7}}
{{},{},{1},{1},{3},{2,3},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{3,4},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{3,4},{2,5,7}}
{{},{},{1},{1},{3},{2,3},{3,4},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{3,4},{5,6,7}}
{{},{},{1},{1},{3},{2,3},{4,5},{7}}
{{},{},{1},{1},{3},{2,3},{4,5},{2,7}}
{{},{},{1},{1},{3},{2,3},{4,5},{4,5}}
{{},{},{1},{1},{3},{2,3},{4,5},{4,6}}
{{},{},{1},{1},{3},{2,3},{4,5},{5,6}}
{{},{},{1},{1},{3},{2,3},{4,5},{6,7}}
{{},{},{1},{1},{3},{2,3},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{4,5},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{4,6},{7}}
{{},{},{1},{1},{3},{2,3},{4,6},{4,6}}
{{},{},{1},{1},{3},{2,3},{4,6},{5,6}}
{{},{},{1},{1},{3},{2,3},{4,6},{5,7}}
{{},{},{1},{1},{3},{2,3},{4,6},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{4,6},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{4,6},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{5,6},{7}}
{{},{},{1},{1},{3},{2,3},{5,6},{4,7}}
{{},{},{1},{1},{3},{2,3},{5,6},{5,6}}
{{},{},{1},{1},{3},{2,3},{5,6},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{5,6},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{5,6},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{2,3,4},{7}}
{{},{},{1},{1},{3},{2,3},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{2,3},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{2,3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{2,3},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3},{2,3},{2,4,5},{7}}
{{},{},{1},{1},{3},{2,3},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{2,3},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{2,3},{2,4,5},{4,5,6}}
{{},{},{1},{1},{3},{2,3},{4,5,6},{7}}
{{},{},{1},{1},{3},{2,3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{3},{2,4},{6},{6}}
{{},{},{1},{1},{3},{2,4},{6},{7}}
{{},{},{1},{1},{3},{2,4},{6},{2,4}}
{{},{},{1},{1},{3},{2,4},{6},{2,5}}
{{},{},{1},{1},{3},{2,4},{6},{3,4}}
{{},{},{1},{1},{3},{2,4},{6},{3,6}}
{{},{},{1},{1},{3},{2,4},{6},{3,7}}
{{},{},{1},{1},{3},{2,4},{6},{4,5}}
{{},{},{1},{1},{3},{2,4},{6},{5,6}}
{{},{},{1},{1},{3},{2,4},{6},{5,7}}
{{},{},{1},{1},{3},{2,4},{6},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{6},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{2,4},{2,4}}
{{},{},{1},{1},{3},{2,4},{2,4},{2,5}}
{{},{},{1},{1},{3},{2,4},{2,4},{3,4}}
{{},{},{1},{1},{3},{2,4},{2,4},{3,6}}
{{},{},{1},{1},{3},{2,4},{2,4},{4,5}}
{{},{},{1},{1},{3},{2,4},{2,4},{5,6}}
{{},{},{1},{1},{3},{2,4},{2,4},{6,7}}
{{},{},{1},{1},{3},{2,4},{2,4},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{2,4},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{2,4},{3,6,7}}
{{},{},{1},{1},{3},{2,4},{2,4},{5,6,7}}
{{},{},{1},{1},{3},{2,4},{2,5},{7}}
{{},{},{1},{1},{3},{2,4},{2,5},{2,5}}
{{},{},{1},{1},{3},{2,4},{2,5},{3,4}}
{{},{},{1},{1},{3},{2,4},{2,5},{3,6}}
{{},{},{1},{1},{3},{2,4},{2,5},{4,5}}
{{},{},{1},{1},{3},{2,4},{2,5},{4,7}}
{{},{},{1},{1},{3},{2,4},{2,5},{5,6}}
{{},{},{1},{1},{3},{2,4},{2,5},{6,7}}
{{},{},{1},{1},{3},{2,4},{2,5},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{2,5},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{3,4},{7}}
{{},{},{1},{1},{3},{2,4},{3,4},{2,7}}
{{},{},{1},{1},{3},{2,4},{3,4},{3,4}}
{{},{},{1},{1},{3},{2,4},{3,4},{3,6}}
{{},{},{1},{1},{3},{2,4},{3,4},{4,5}}
{{},{},{1},{1},{3},{2,4},{3,4},{5,6}}
{{},{},{1},{1},{3},{2,4},{3,4},{5,7}}
{{},{},{1},{1},{3},{2,4},{3,4},{6,7}}
{{},{},{1},{1},{3},{2,4},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{3,4},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{3,4},{2,5,7}}
{{},{},{1},{1},{3},{2,4},{3,4},{5,6,7}}
{{},{},{1},{1},{3},{2,4},{3,6},{7}}
{{},{},{1},{1},{3},{2,4},{3,6},{3,6}}
{{},{},{1},{1},{3},{2,4},{3,6},{4,5}}
{{},{},{1},{1},{3},{2,4},{3,6},{5,6}}
{{},{},{1},{1},{3},{2,4},{3,6},{5,7}}
{{},{},{1},{1},{3},{2,4},{3,6},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{3,6},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{4,5},{7}}
{{},{},{1},{1},{3},{2,4},{4,5},{2,7}}
{{},{},{1},{1},{3},{2,4},{4,5},{4,5}}
{{},{},{1},{1},{3},{2,4},{4,5},{5,6}}
{{},{},{1},{1},{3},{2,4},{4,5},{6,7}}
{{},{},{1},{1},{3},{2,4},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{5,6},{7}}
{{},{},{1},{1},{3},{2,4},{5,6},{5,6}}
{{},{},{1},{1},{3},{2,4},{5,6},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{5,6},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{2,3,4},{7}}
{{},{},{1},{1},{3},{2,4},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{2,4},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{2,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{2,4},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{2,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3},{2,4},{2,4,5},{7}}
{{},{},{1},{1},{3},{2,4},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{2,4},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{2,5},{6},{6}}
{{},{},{1},{1},{3},{2,5},{6},{7}}
{{},{},{1},{1},{3},{2,5},{6},{2,5}}
{{},{},{1},{1},{3},{2,5},{6},{3,4}}
{{},{},{1},{1},{3},{2,5},{6},{4,5}}
{{},{},{1},{1},{3},{2,5},{6},{4,6}}
{{},{},{1},{1},{3},{2,5},{6},{4,7}}
{{},{},{1},{1},{3},{2,5},{6},{2,3,4}}
{{},{},{1},{1},{3},{2,5},{6},{2,4,5}}
{{},{},{1},{1},{3},{2,5},{2,5},{2,5}}
{{},{},{1},{1},{3},{2,5},{2,5},{3,4}}
{{},{},{1},{1},{3},{2,5},{2,5},{4,5}}
{{},{},{1},{1},{3},{2,5},{2,5},{4,6}}
{{},{},{1},{1},{3},{2,5},{2,5},{6,7}}
{{},{},{1},{1},{3},{2,5},{2,5},{2,3,4}}
{{},{},{1},{1},{3},{2,5},{2,5},{2,4,5}}
{{},{},{1},{1},{3},{2,5},{2,5},{4,6,7}}
{{},{},{1},{1},{3},{2,5},{3,4},{7}}
{{},{},{1},{1},{3},{2,5},{3,4},{2,7}}
{{},{},{1},{1},{3},{2,5},{3,4},{3,4}}
{{},{},{1},{1},{3},{2,5},{3,4},{4,5}}
{{},{},{1},{1},{3},{2,5},{3,4},{4,6}}
{{},{},{1},{1},{3},{2,5},{3,4},{5,7}}
{{},{},{1},{1},{3},{2,5},{3,4},{6,7}}
{{},{},{1},{1},{3},{2,5},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{2,5},{3,4},{2,4,5}}
{{},{},{1},{1},{3},{2,5},{3,4},{2,5,7}}
{{},{},{1},{1},{3},{2,5},{4,5},{7}}
{{},{},{1},{1},{3},{2,5},{4,5},{2,7}}
{{},{},{1},{1},{3},{2,5},{4,5},{4,5}}
{{},{},{1},{1},{3},{2,5},{4,5},{4,6}}
{{},{},{1},{1},{3},{2,5},{4,5},{6,7}}
{{},{},{1},{1},{3},{2,5},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{2,5},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{2,5},{4,6},{7}}
{{},{},{1},{1},{3},{2,5},{4,6},{4,6}}
{{},{},{1},{1},{3},{2,5},{4,6},{2,3,4}}
{{},{},{1},{1},{3},{2,5},{4,6},{2,4,5}}
{{},{},{1},{1},{3},{2,5},{2,3,4},{7}}
{{},{},{1},{1},{3},{2,5},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{2,5},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{2,5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{2,5},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{2,5},{2,4,5},{7}}
{{},{},{1},{1},{3},{2,5},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{2,5},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{6},{6}}
{{},{},{1},{1},{3},{3,4},{6},{7}}
{{},{},{1},{1},{3},{3,4},{6},{2,6}}
{{},{},{1},{1},{3},{3,4},{6},{2,7}}
{{},{},{1},{1},{3},{3,4},{6},{3,4}}
{{},{},{1},{1},{3},{3,4},{6},{4,5}}
{{},{},{1},{1},{3},{3,4},{6},{5,6}}
{{},{},{1},{1},{3},{3,4},{6},{5,7}}
{{},{},{1},{1},{3},{3,4},{6},{2,3,4}}
{{},{},{1},{1},{3},{3,4},{6},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{6},{2,5,6}}
{{},{},{1},{1},{3},{3,4},{6},{2,5,7}}
{{},{},{1},{1},{3},{3,4},{2,6},{7}}
{{},{},{1},{1},{3},{3,4},{2,6},{2,6}}
{{},{},{1},{1},{3},{3,4},{2,6},{3,4}}
{{},{},{1},{1},{3},{3,4},{2,6},{4,5}}
{{},{},{1},{1},{3},{3,4},{2,6},{5,6}}
{{},{},{1},{1},{3},{3,4},{2,6},{5,7}}
{{},{},{1},{1},{3},{3,4},{2,6},{2,3,4}}
{{},{},{1},{1},{3},{3,4},{2,6},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{2,6},{2,5,6}}
{{},{},{1},{1},{3},{3,4},{3,4},{3,4}}
{{},{},{1},{1},{3},{3,4},{3,4},{4,5}}
{{},{},{1},{1},{3},{3,4},{3,4},{5,6}}
{{},{},{1},{1},{3},{3,4},{3,4},{6,7}}
{{},{},{1},{1},{3},{3,4},{3,4},{2,3,4}}
{{},{},{1},{1},{3},{3,4},{3,4},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{3,4},{2,5,6}}
{{},{},{1},{1},{3},{3,4},{3,4},{2,6,7}}
{{},{},{1},{1},{3},{3,4},{3,4},{5,6,7}}
{{},{},{1},{1},{3},{3,4},{3,4},{2,5,6,7}}
{{},{},{1},{1},{3},{3,4},{4,5},{7}}
{{},{},{1},{1},{3},{3,4},{4,5},{2,7}}
{{},{},{1},{1},{3},{3,4},{4,5},{4,5}}
{{},{},{1},{1},{3},{3,4},{4,5},{5,6}}
{{},{},{1},{1},{3},{3,4},{4,5},{6,7}}
{{},{},{1},{1},{3},{3,4},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{3,4},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{4,5},{2,5,6}}
{{},{},{1},{1},{3},{3,4},{4,5},{2,6,7}}
{{},{},{1},{1},{3},{3,4},{5,6},{7}}
{{},{},{1},{1},{3},{3,4},{5,6},{2,7}}
{{},{},{1},{1},{3},{3,4},{5,6},{5,6}}
{{},{},{1},{1},{3},{3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{3},{3,4},{5,6},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{5,6},{2,5,6}}
{{},{},{1},{1},{3},{3,4},{2,3,4},{7}}
{{},{},{1},{1},{3},{3,4},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{3,4},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{2,3,4},{2,5,6}}
{{},{},{1},{1},{3},{3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3},{3,4},{2,4,5},{7}}
{{},{},{1},{1},{3},{3,4},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{3,4},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{3,4},{2,4,5},{2,5,6}}
{{},{},{1},{1},{3},{3,4},{2,5,6},{7}}
{{},{},{1},{1},{3},{3,4},{2,5,6},{2,5,6}}
{{},{},{1},{1},{3},{4,5},{6},{6}}
{{},{},{1},{1},{3},{4,5},{6},{7}}
{{},{},{1},{1},{3},{4,5},{6},{2,6}}
{{},{},{1},{1},{3},{4,5},{6},{2,7}}
{{},{},{1},{1},{3},{4,5},{6},{4,5}}
{{},{},{1},{1},{3},{4,5},{6},{2,3,4}}
{{},{},{1},{1},{3},{4,5},{6},{2,4,5}}
{{},{},{1},{1},{3},{4,5},{2,6},{7}}
{{},{},{1},{1},{3},{4,5},{2,6},{2,6}}
{{},{},{1},{1},{3},{4,5},{2,6},{4,5}}
{{},{},{1},{1},{3},{4,5},{2,6},{2,3,4}}
{{},{},{1},{1},{3},{4,5},{2,6},{2,4,5}}
{{},{},{1},{1},{3},{4,5},{4,5},{4,5}}
{{},{},{1},{1},{3},{4,5},{4,5},{6,7}}
{{},{},{1},{1},{3},{4,5},{4,5},{2,3,4}}
{{},{},{1},{1},{3},{4,5},{4,5},{2,4,5}}
{{},{},{1},{1},{3},{4,5},{4,5},{2,6,7}}
{{},{},{1},{1},{3},{4,5},{2,3,4},{7}}
{{},{},{1},{1},{3},{4,5},{2,3,4},{5,7}}
{{},{},{1},{1},{3},{4,5},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{4,5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{4,5},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{4,5},{2,4,5},{7}}
{{},{},{1},{1},{3},{4,5},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{4,5},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{2,3,4},{6},{6}}
{{},{},{1},{1},{3},{2,3,4},{6},{7}}
{{},{},{1},{1},{3},{2,3,4},{6},{5,6}}
{{},{},{1},{1},{3},{2,3,4},{6},{5,7}}
{{},{},{1},{1},{3},{2,3,4},{6},{2,3,4}}
{{},{},{1},{1},{3},{2,3,4},{6},{2,4,5}}
{{},{},{1},{1},{3},{2,3,4},{5,6},{7}}
{{},{},{1},{1},{3},{2,3,4},{5,6},{5,6}}
{{},{},{1},{1},{3},{2,3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{3},{2,3,4},{5,6},{2,4,5}}
{{},{},{1},{1},{3},{2,3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{3},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3},{2,3,4},{2,3,4},{2,4,5}}
{{},{},{1},{1},{3},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3},{2,3,4},{2,4,5},{7}}
{{},{},{1},{1},{3},{2,3,4},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{2,3,4},{2,4,5},{2,4,5}}
{{},{},{1},{1},{3},{2,4,5},{6},{6}}
{{},{},{1},{1},{3},{2,4,5},{6},{7}}
{{},{},{1},{1},{3},{2,4,5},{6},{2,4,5}}
{{},{},{1},{1},{3},{2,4,5},{2,4,5},{6,7}}
{{},{},{1},{1},{3},{2,4,5},{2,4,5},{2,4,5}}
{{},{},{1},{1},{1,2},{5},{5},{5}}
{{},{},{1},{1},{1,2},{5},{5},{6}}
{{},{},{1},{1},{1,2},{5},{5},{1,2}}
{{},{},{1},{1},{1,2},{5},{5},{2,3}}
{{},{},{1},{1},{1,2},{5},{5},{3,4}}
{{},{},{1},{1},{1,2},{5},{5},{3,5}}
{{},{},{1},{1},{1,2},{5},{5},{3,6}}
{{},{},{1},{1},{1,2},{5},{5},{6,7}}
{{},{},{1},{1},{1,2},{5},{5},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{5},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{5},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{5},{3,6,7}}
{{},{},{1},{1},{1,2},{5},{5},{3,4,6,7}}
{{},{},{1},{1},{1,2},{5},{6},{6}}
{{},{},{1},{1},{1,2},{5},{6},{7}}
{{},{},{1},{1},{1,2},{5},{6},{1,2}}
{{},{},{1},{1},{1,2},{5},{6},{2,3}}
{{},{},{1},{1},{1,2},{5},{6},{3,4}}
{{},{},{1},{1},{1,2},{5},{6},{3,5}}
{{},{},{1},{1},{1,2},{5},{6},{3,6}}
{{},{},{1},{1},{1,2},{5},{6},{3,7}}
{{},{},{1},{1},{1,2},{5},{6},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{6},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{6},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{6},{3,4,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{7}}
{{},{},{1},{1},{1,2},{5},{1,2},{1,2}}
{{},{},{1},{1},{1,2},{5},{1,2},{2,3}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,4}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,5}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,6}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{5,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{6,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,4,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,5,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,6,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,4,5,7}}
{{},{},{1},{1},{1,2},{5},{1,2},{3,4,6,7}}
{{},{},{1},{1},{1,2},{5},{2,3},{7}}
{{},{},{1},{1},{1,2},{5},{2,3},{2,3}}
{{},{},{1},{1},{1,2},{5},{2,3},{2,4}}
{{},{},{1},{1},{1,2},{5},{2,3},{3,4}}
{{},{},{1},{1},{1,2},{5},{2,3},{3,5}}
{{},{},{1},{1},{1,2},{5},{2,3},{3,6}}
{{},{},{1},{1},{1,2},{5},{2,3},{4,5}}
{{},{},{1},{1},{1,2},{5},{2,3},{4,6}}
{{},{},{1},{1},{1,2},{5},{2,3},{4,7}}
{{},{},{1},{1},{1,2},{5},{2,3},{5,7}}
{{},{},{1},{1},{1,2},{5},{2,3},{6,7}}
{{},{},{1},{1},{1,2},{5},{2,3},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{2,3},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{2,3},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{2,3},{4,5,7}}
{{},{},{1},{1},{1,2},{5},{2,3},{4,6,7}}
{{},{},{1},{1},{1,2},{5},{3,4},{7}}
{{},{},{1},{1},{1,2},{5},{3,4},{2,7}}
{{},{},{1},{1},{1,2},{5},{3,4},{3,4}}
{{},{},{1},{1},{1,2},{5},{3,4},{3,5}}
{{},{},{1},{1},{1,2},{5},{3,4},{3,6}}
{{},{},{1},{1},{1,2},{5},{3,4},{5,7}}
{{},{},{1},{1},{1,2},{5},{3,4},{6,7}}
{{},{},{1},{1},{1,2},{5},{3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{3,4},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{3,5},{7}}
{{},{},{1},{1},{1,2},{5},{3,5},{3,5}}
{{},{},{1},{1},{1,2},{5},{3,5},{3,6}}
{{},{},{1},{1},{1,2},{5},{3,5},{4,5}}
{{},{},{1},{1},{1,2},{5},{3,5},{4,6}}
{{},{},{1},{1},{1,2},{5},{3,5},{4,7}}
{{},{},{1},{1},{1,2},{5},{3,5},{6,7}}
{{},{},{1},{1},{1,2},{5},{3,5},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{3,5},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{3,5},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{3,5},{4,6,7}}
{{},{},{1},{1},{1,2},{5},{3,6},{7}}
{{},{},{1},{1},{1,2},{5},{3,6},{3,6}}
{{},{},{1},{1},{1,2},{5},{3,6},{4,6}}
{{},{},{1},{1},{1,2},{5},{3,6},{4,7}}
{{},{},{1},{1},{1,2},{5},{3,6},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{3,6},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{3,6},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{2,3,4},{7}}
{{},{},{1},{1},{1,2},{5},{2,3,4},{5,7}}
{{},{},{1},{1},{1,2},{5},{2,3,4},{6,7}}
{{},{},{1},{1},{1,2},{5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{5},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{2,3,4},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{3,4,5},{7}}
{{},{},{1},{1},{1,2},{5},{3,4,5},{6,7}}
{{},{},{1},{1},{1,2},{5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{5},{3,4,5},{3,4,6}}
{{},{},{1},{1},{1,2},{5},{3,4,6},{7}}
{{},{},{1},{1},{1,2},{5},{3,4,6},{3,4,6}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{1,2}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{2,3}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{3,4}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{3,5}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{5,6}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{2,3,4}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{3,4,5}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{5,6,7}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{3,5,6,7}}
{{},{},{1},{1},{1,2},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{7}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{2,3}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{2,4}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{3,4}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{3,5}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{4,5}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{4,7}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{5,6}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{5,7}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{2,3,4}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{3,4,5}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{4,5,7}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{5,6,7}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{2,3},{4,5,6,7}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{7}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{2,7}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{3,4}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{3,5}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{5,7}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{5,6,7}}
{{},{},{1},{1},{1,2},{1,2},{3,4},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{7}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{3,5}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{3,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{4,5}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{4,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{4,7}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{6,7}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{2,3,4}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{3,4,5}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{3,4,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{4,6,7}}
{{},{},{1},{1},{1,2},{1,2},{3,5},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{7}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{3,7}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{5,6}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{2,3,4}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{3,4,5}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{3,4,7}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{5,6},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{2,3,4},{7}}
{{},{},{1},{1},{1,2},{1,2},{2,3,4},{5,7}}
{{},{},{1},{1},{1,2},{1,2},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{1,2},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{1,2},{2,3,4},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1,2},{1,2},{2,3,4},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5},{7}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5},{6,7}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5},{3,4,6}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5,6},{7}}
{{},{},{1},{1},{1,2},{1,2},{3,5,6},{4,7}}
{{},{},{1},{1},{1,2},{1,2},{3,5,6},{3,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5,6},{4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,5,6},{3,4,5,6}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5,6},{7}}
{{},{},{1},{1},{1,2},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{6},{6}}
{{},{},{1},{1},{1,2},{2,3},{6},{7}}
{{},{},{1},{1},{1,2},{2,3},{6},{2,3}}
{{},{},{1},{1},{1,2},{2,3},{6},{2,4}}
{{},{},{1},{1},{1,2},{2,3},{6},{3,4}}
{{},{},{1},{1},{1,2},{2,3},{6},{3,5}}
{{},{},{1},{1},{1,2},{2,3},{6},{4,5}}
{{},{},{1},{1},{1,2},{2,3},{6},{4,6}}
{{},{},{1},{1},{1,2},{2,3},{6},{4,7}}
{{},{},{1},{1},{1,2},{2,3},{6},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{6},{5,7}}
{{},{},{1},{1},{1,2},{2,3},{6},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{6},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{6},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{6},{4,5,7}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{2,3}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{2,4}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{3,4}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{3,5}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{4,5}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{4,6}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{6,7}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{4,6,7}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{5,6,7}}
{{},{},{1},{1},{1,2},{2,3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{3,4}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{3,5}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{3,7}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{6,7}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{3,5,7}}
{{},{},{1},{1},{1,2},{2,3},{2,4},{5,6,7}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{7}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{2,7}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{3,4}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{3,5}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{4,5}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{4,6}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{5,7}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{6,7}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{3,4},{5,6,7}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{7}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{3,5}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{4,5}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{4,6}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{4,7}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{6,7}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{3,5},{4,6,7}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{7}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{3,7}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{4,5}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{4,6}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{6,7}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{4,5},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{4,6},{7}}
{{},{},{1},{1},{1,2},{2,3},{4,6},{4,6}}
{{},{},{1},{1},{1,2},{2,3},{4,6},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{4,6},{5,7}}
{{},{},{1},{1},{1,2},{2,3},{4,6},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{4,6},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{4,6},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{5,6},{7}}
{{},{},{1},{1},{1,2},{2,3},{5,6},{4,7}}
{{},{},{1},{1},{1,2},{2,3},{5,6},{5,6}}
{{},{},{1},{1},{1,2},{2,3},{5,6},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{5,6},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{5,6},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{2,3,4},{7}}
{{},{},{1},{1},{1,2},{2,3},{2,3,4},{5,7}}
{{},{},{1},{1},{1,2},{2,3},{2,3,4},{6,7}}
{{},{},{1},{1},{1,2},{2,3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1,2},{2,3},{3,4,5},{7}}
{{},{},{1},{1},{1,2},{2,3},{3,4,5},{6,7}}
{{},{},{1},{1},{1,2},{2,3},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3},{3,4,5},{4,5,6}}
{{},{},{1},{1},{1,2},{2,3},{4,5,6},{7}}
{{},{},{1},{1},{1,2},{2,3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{1,2},{3,4},{6},{6}}
{{},{},{1},{1},{1,2},{3,4},{6},{7}}
{{},{},{1},{1},{1,2},{3,4},{6},{2,6}}
{{},{},{1},{1},{1,2},{3,4},{6},{2,7}}
{{},{},{1},{1},{1,2},{3,4},{6},{3,4}}
{{},{},{1},{1},{1,2},{3,4},{6},{3,5}}
{{},{},{1},{1},{1,2},{3,4},{6},{5,6}}
{{},{},{1},{1},{1,2},{3,4},{6},{5,7}}
{{},{},{1},{1},{1,2},{3,4},{6},{2,3,4}}
{{},{},{1},{1},{1,2},{3,4},{6},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{7}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{2,6}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{3,4}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{3,5}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{5,6}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{5,7}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{2,3,4}}
{{},{},{1},{1},{1,2},{3,4},{2,6},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{3,4}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{3,5}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{5,6}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{6,7}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{2,6,7}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4},{3,4},{5,6,7}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{7}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{3,5}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{4,5}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{4,7}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{5,6}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{6,7}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{2,3,4}}
{{},{},{1},{1},{1,2},{3,4},{3,5},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4},{5,6},{7}}
{{},{},{1},{1},{1,2},{3,4},{5,6},{5,6}}
{{},{},{1},{1},{1,2},{3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{1,2},{3,4},{5,6},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4},{2,3,4},{7}}
{{},{},{1},{1},{1,2},{3,4},{2,3,4},{5,7}}
{{},{},{1},{1},{1,2},{3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{1,2},{3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{3,4},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1,2},{3,4},{3,4,5},{7}}
{{},{},{1},{1},{1,2},{3,4},{3,4,5},{6,7}}
{{},{},{1},{1},{1,2},{3,4},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{3,5},{6},{6}}
{{},{},{1},{1},{1,2},{3,5},{6},{7}}
{{},{},{1},{1},{1,2},{3,5},{6},{3,5}}
{{},{},{1},{1},{1,2},{3,5},{6},{4,5}}
{{},{},{1},{1},{1,2},{3,5},{6},{4,6}}
{{},{},{1},{1},{1,2},{3,5},{6},{4,7}}
{{},{},{1},{1},{1,2},{3,5},{6},{2,3,4}}
{{},{},{1},{1},{1,2},{3,5},{6},{3,4,5}}
{{},{},{1},{1},{1,2},{3,5},{3,5},{3,5}}
{{},{},{1},{1},{1,2},{3,5},{3,5},{4,5}}
{{},{},{1},{1},{1,2},{3,5},{3,5},{4,6}}
{{},{},{1},{1},{1,2},{3,5},{3,5},{6,7}}
{{},{},{1},{1},{1,2},{3,5},{3,5},{2,3,4}}
{{},{},{1},{1},{1,2},{3,5},{3,5},{3,4,5}}
{{},{},{1},{1},{1,2},{3,5},{3,5},{4,6,7}}
{{},{},{1},{1},{1,2},{3,5},{4,5},{3,7}}
{{},{},{1},{1},{1,2},{3,5},{4,5},{6,7}}
{{},{},{1},{1},{1,2},{3,5},{4,5},{2,3,4}}
{{},{},{1},{1},{1,2},{3,5},{4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{3,5},{4,6},{7}}
{{},{},{1},{1},{1,2},{3,5},{4,6},{4,6}}
{{},{},{1},{1},{1,2},{3,5},{4,6},{2,3,4}}
{{},{},{1},{1},{1,2},{3,5},{4,6},{3,4,5}}
{{},{},{1},{1},{1,2},{3,5},{2,3,4},{7}}
{{},{},{1},{1},{1,2},{3,5},{2,3,4},{5,7}}
{{},{},{1},{1},{1,2},{3,5},{2,3,4},{6,7}}
{{},{},{1},{1},{1,2},{3,5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{3,5},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{3,5},{3,4,5},{7}}
{{},{},{1},{1},{1,2},{3,5},{3,4,5},{6,7}}
{{},{},{1},{1},{1,2},{3,5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3,4},{6},{6}}
{{},{},{1},{1},{1,2},{2,3,4},{6},{7}}
{{},{},{1},{1},{1,2},{2,3,4},{6},{5,6}}
{{},{},{1},{1},{1,2},{2,3,4},{6},{5,7}}
{{},{},{1},{1},{1,2},{2,3,4},{6},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3,4},{6},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3,4},{5,6},{7}}
{{},{},{1},{1},{1,2},{2,3,4},{5,6},{5,6}}
{{},{},{1},{1},{1,2},{2,3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3,4},{5,6},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{1,2},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{1,2},{2,3,4},{2,3,4},{3,4,5}}
{{},{},{1},{1},{1,2},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{1,2},{2,3,4},{3,4,5},{7}}
{{},{},{1},{1},{1,2},{2,3,4},{3,4,5},{6,7}}
{{},{},{1},{1},{1,2},{2,3,4},{3,4,5},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4,5},{6},{6}}
{{},{},{1},{1},{1,2},{3,4,5},{6},{7}}
{{},{},{1},{1},{1,2},{3,4,5},{6},{3,4,5}}
{{},{},{1},{1},{1,2},{3,4,5},{3,4,5},{6,7}}
{{},{},{1},{1},{1,2},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{1},{1},{2,3},{5},{5},{5}}
{{},{},{1},{1},{2,3},{5},{5},{6}}
{{},{},{1},{1},{2,3},{5},{5},{2,3}}
{{},{},{1},{1},{2,3},{5},{5},{2,4}}
{{},{},{1},{1},{2,3},{5},{5},{3,4}}
{{},{},{1},{1},{2,3},{5},{5},{4,5}}
{{},{},{1},{1},{2,3},{5},{5},{4,6}}
{{},{},{1},{1},{2,3},{5},{5},{6,7}}
{{},{},{1},{1},{2,3},{5},{5},{2,3,4}}
{{},{},{1},{1},{2,3},{5},{5},{4,6,7}}
{{},{},{1},{1},{2,3},{5},{6},{6}}
{{},{},{1},{1},{2,3},{5},{6},{7}}
{{},{},{1},{1},{2,3},{5},{6},{2,3}}
{{},{},{1},{1},{2,3},{5},{6},{2,4}}
{{},{},{1},{1},{2,3},{5},{6},{3,4}}
{{},{},{1},{1},{2,3},{5},{6},{4,5}}
{{},{},{1},{1},{2,3},{5},{6},{4,6}}
{{},{},{1},{1},{2,3},{5},{6},{4,7}}
{{},{},{1},{1},{2,3},{5},{6},{2,3,4}}
{{},{},{1},{1},{2,3},{5},{2,3},{7}}
{{},{},{1},{1},{2,3},{5},{2,3},{2,3}}
{{},{},{1},{1},{2,3},{5},{2,3},{2,4}}
{{},{},{1},{1},{2,3},{5},{2,3},{3,4}}
{{},{},{1},{1},{2,3},{5},{2,3},{4,5}}
{{},{},{1},{1},{2,3},{5},{2,3},{4,6}}
{{},{},{1},{1},{2,3},{5},{2,3},{4,7}}
{{},{},{1},{1},{2,3},{5},{2,3},{5,7}}
{{},{},{1},{1},{2,3},{5},{2,3},{6,7}}
{{},{},{1},{1},{2,3},{5},{2,3},{2,3,4}}
{{},{},{1},{1},{2,3},{5},{2,3},{4,5,7}}
{{},{},{1},{1},{2,3},{5},{2,3},{4,6,7}}
{{},{},{1},{1},{2,3},{5},{2,4},{7}}
{{},{},{1},{1},{2,3},{5},{2,4},{2,4}}
{{},{},{1},{1},{2,3},{5},{2,4},{3,4}}
{{},{},{1},{1},{2,3},{5},{2,4},{3,7}}
{{},{},{1},{1},{2,3},{5},{2,4},{4,5}}
{{},{},{1},{1},{2,3},{5},{2,4},{4,6}}
{{},{},{1},{1},{2,3},{5},{2,4},{5,7}}
{{},{},{1},{1},{2,3},{5},{2,4},{6,7}}
{{},{},{1},{1},{2,3},{5},{2,4},{2,3,4}}
{{},{},{1},{1},{2,3},{5},{3,4},{7}}
{{},{},{1},{1},{2,3},{5},{3,4},{2,7}}
{{},{},{1},{1},{2,3},{5},{3,4},{3,4}}
{{},{},{1},{1},{2,3},{5},{3,4},{4,5}}
{{},{},{1},{1},{2,3},{5},{3,4},{4,6}}
{{},{},{1},{1},{2,3},{5},{3,4},{5,7}}
{{},{},{1},{1},{2,3},{5},{3,4},{6,7}}
{{},{},{1},{1},{2,3},{5},{3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{5},{4,5},{7}}
{{},{},{1},{1},{2,3},{5},{4,5},{4,5}}
{{},{},{1},{1},{2,3},{5},{4,5},{4,6}}
{{},{},{1},{1},{2,3},{5},{4,5},{6,7}}
{{},{},{1},{1},{2,3},{5},{4,5},{2,3,4}}
{{},{},{1},{1},{2,3},{5},{4,6},{7}}
{{},{},{1},{1},{2,3},{5},{4,6},{4,6}}
{{},{},{1},{1},{2,3},{5},{4,6},{2,3,4}}
{{},{},{1},{1},{2,3},{5},{2,3,4},{7}}
{{},{},{1},{1},{2,3},{5},{2,3,4},{5,7}}
{{},{},{1},{1},{2,3},{5},{2,3,4},{6,7}}
{{},{},{1},{1},{2,3},{5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{2,3}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{2,4}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{3,4}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{4,5}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{5,6}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{4,5,6}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{5,6,7}}
{{},{},{1},{1},{2,3},{2,3},{2,3},{4,5,6,7}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{2,4}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{3,4}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{3,7}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{4,5}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{5,6}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{5,7}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{4,5,6}}
{{},{},{1},{1},{2,3},{2,3},{2,4},{5,6,7}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{7}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{2,7}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{3,4}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{4,5}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{5,6}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{5,7}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{4,5,6}}
{{},{},{1},{1},{2,3},{2,3},{3,4},{5,6,7}}
{{},{},{1},{1},{2,3},{2,3},{4,5},{7}}
{{},{},{1},{1},{2,3},{2,3},{4,5},{4,5}}
{{},{},{1},{1},{2,3},{2,3},{4,5},{4,6}}
{{},{},{1},{1},{2,3},{2,3},{4,5},{5,6}}
{{},{},{1},{1},{2,3},{2,3},{4,5},{6,7}}
{{},{},{1},{1},{2,3},{2,3},{4,5},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3},{4,5},{4,5,6}}
{{},{},{1},{1},{2,3},{2,3},{5,6},{7}}
{{},{},{1},{1},{2,3},{2,3},{5,6},{4,7}}
{{},{},{1},{1},{2,3},{2,3},{5,6},{5,6}}
{{},{},{1},{1},{2,3},{2,3},{5,6},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3},{5,6},{4,5,6}}
{{},{},{1},{1},{2,3},{2,3},{2,3,4},{7}}
{{},{},{1},{1},{2,3},{2,3},{2,3,4},{5,7}}
{{},{},{1},{1},{2,3},{2,3},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3},{2,3,4},{4,5,6}}
{{},{},{1},{1},{2,3},{2,3},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2,3},{2,3},{4,5,6},{7}}
{{},{},{1},{1},{2,3},{2,3},{4,5,6},{4,5,6}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{7}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{2,7}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{3,4}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{3,6}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{5,6}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{5,7}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,4},{3,4},{5,6,7}}
{{},{},{1},{1},{2,3},{2,4},{3,6},{7}}
{{},{},{1},{1},{2,3},{2,4},{3,6},{3,6}}
{{},{},{1},{1},{2,3},{2,4},{3,6},{4,5}}
{{},{},{1},{1},{2,3},{2,4},{3,6},{5,6}}
{{},{},{1},{1},{2,3},{2,4},{3,6},{5,7}}
{{},{},{1},{1},{2,3},{2,4},{3,6},{2,3,4}}
{{},{},{1},{1},{2,3},{2,4},{5,6},{7}}
{{},{},{1},{1},{2,3},{2,4},{5,6},{5,6}}
{{},{},{1},{1},{2,3},{2,4},{5,6},{2,3,4}}
{{},{},{1},{1},{2,3},{2,4},{2,3,4},{7}}
{{},{},{1},{1},{2,3},{2,4},{2,3,4},{5,7}}
{{},{},{1},{1},{2,3},{2,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2,3},{3,4},{6},{6}}
{{},{},{1},{1},{2,3},{3,4},{6},{7}}
{{},{},{1},{1},{2,3},{3,4},{6},{2,6}}
{{},{},{1},{1},{2,3},{3,4},{6},{2,7}}
{{},{},{1},{1},{2,3},{3,4},{6},{3,4}}
{{},{},{1},{1},{2,3},{3,4},{6},{4,5}}
{{},{},{1},{1},{2,3},{3,4},{6},{5,6}}
{{},{},{1},{1},{2,3},{3,4},{6},{5,7}}
{{},{},{1},{1},{2,3},{3,4},{6},{2,3,4}}
{{},{},{1},{1},{2,3},{3,4},{2,6},{7}}
{{},{},{1},{1},{2,3},{3,4},{2,6},{2,6}}
{{},{},{1},{1},{2,3},{3,4},{2,6},{3,4}}
{{},{},{1},{1},{2,3},{3,4},{2,6},{4,5}}
{{},{},{1},{1},{2,3},{3,4},{2,6},{5,6}}
{{},{},{1},{1},{2,3},{3,4},{2,6},{5,7}}
{{},{},{1},{1},{2,3},{3,4},{2,6},{2,3,4}}
{{},{},{1},{1},{2,3},{3,4},{3,4},{3,4}}
{{},{},{1},{1},{2,3},{3,4},{3,4},{4,5}}
{{},{},{1},{1},{2,3},{3,4},{3,4},{5,6}}
{{},{},{1},{1},{2,3},{3,4},{3,4},{6,7}}
{{},{},{1},{1},{2,3},{3,4},{3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{3,4},{3,4},{2,6,7}}
{{},{},{1},{1},{2,3},{3,4},{3,4},{5,6,7}}
{{},{},{1},{1},{2,3},{3,4},{4,5},{7}}
{{},{},{1},{1},{2,3},{3,4},{4,5},{4,5}}
{{},{},{1},{1},{2,3},{3,4},{4,5},{5,6}}
{{},{},{1},{1},{2,3},{3,4},{4,5},{6,7}}
{{},{},{1},{1},{2,3},{3,4},{4,5},{2,3,4}}
{{},{},{1},{1},{2,3},{3,4},{5,6},{7}}
{{},{},{1},{1},{2,3},{3,4},{5,6},{5,6}}
{{},{},{1},{1},{2,3},{3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{2,3},{3,4},{2,3,4},{7}}
{{},{},{1},{1},{2,3},{3,4},{2,3,4},{5,7}}
{{},{},{1},{1},{2,3},{3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{2,3},{3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2,3},{4,5},{6},{6}}
{{},{},{1},{1},{2,3},{4,5},{6},{7}}
{{},{},{1},{1},{2,3},{4,5},{6},{4,5}}
{{},{},{1},{1},{2,3},{4,5},{6},{2,3,4}}
{{},{},{1},{1},{2,3},{4,5},{4,5},{4,5}}
{{},{},{1},{1},{2,3},{4,5},{4,5},{6,7}}
{{},{},{1},{1},{2,3},{4,5},{4,5},{2,3,4}}
{{},{},{1},{1},{2,3},{4,5},{2,3,4},{7}}
{{},{},{1},{1},{2,3},{4,5},{2,3,4},{5,7}}
{{},{},{1},{1},{2,3},{4,5},{2,3,4},{6,7}}
{{},{},{1},{1},{2,3},{4,5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3,4},{6},{6}}
{{},{},{1},{1},{2,3},{2,3,4},{6},{7}}
{{},{},{1},{1},{2,3},{2,3,4},{6},{5,6}}
{{},{},{1},{1},{2,3},{2,3,4},{6},{5,7}}
{{},{},{1},{1},{2,3},{2,3,4},{6},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3,4},{5,6},{7}}
{{},{},{1},{1},{2,3},{2,3,4},{5,6},{5,6}}
{{},{},{1},{1},{2,3},{2,3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{2,3},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3,4},{5},{5},{5}}
{{},{},{1},{1},{3,4},{5},{5},{6}}
{{},{},{1},{1},{3,4},{5},{5},{2,5}}
{{},{},{1},{1},{3,4},{5},{5},{2,6}}
{{},{},{1},{1},{3,4},{5},{5},{3,4}}
{{},{},{1},{1},{3,4},{5},{5},{6,7}}
{{},{},{1},{1},{3,4},{5},{5},{2,3,4}}
{{},{},{1},{1},{3,4},{5},{5},{2,6,7}}
{{},{},{1},{1},{3,4},{5},{6},{6}}
{{},{},{1},{1},{3,4},{5},{6},{7}}
{{},{},{1},{1},{3,4},{5},{6},{2,5}}
{{},{},{1},{1},{3,4},{5},{6},{2,6}}
{{},{},{1},{1},{3,4},{5},{6},{2,7}}
{{},{},{1},{1},{3,4},{5},{6},{3,4}}
{{},{},{1},{1},{3,4},{5},{6},{2,3,4}}
{{},{},{1},{1},{3,4},{5},{2,5},{7}}
{{},{},{1},{1},{3,4},{5},{2,5},{2,5}}
{{},{},{1},{1},{3,4},{5},{2,5},{2,6}}
{{},{},{1},{1},{3,4},{5},{2,5},{3,4}}
{{},{},{1},{1},{3,4},{5},{2,5},{6,7}}
{{},{},{1},{1},{3,4},{5},{2,5},{2,3,4}}
{{},{},{1},{1},{3,4},{5},{2,6},{7}}
{{},{},{1},{1},{3,4},{5},{2,6},{2,6}}
{{},{},{1},{1},{3,4},{5},{2,6},{3,4}}
{{},{},{1},{1},{3,4},{5},{2,6},{2,3,4}}
{{},{},{1},{1},{3,4},{5},{3,4},{7}}
{{},{},{1},{1},{3,4},{5},{3,4},{2,7}}
{{},{},{1},{1},{3,4},{5},{3,4},{3,4}}
{{},{},{1},{1},{3,4},{5},{3,4},{5,7}}
{{},{},{1},{1},{3,4},{5},{3,4},{6,7}}
{{},{},{1},{1},{3,4},{5},{3,4},{2,3,4}}
{{},{},{1},{1},{3,4},{5},{3,4},{2,5,7}}
{{},{},{1},{1},{3,4},{5},{3,4},{2,6,7}}
{{},{},{1},{1},{3,4},{5},{2,3,4},{7}}
{{},{},{1},{1},{3,4},{5},{2,3,4},{5,7}}
{{},{},{1},{1},{3,4},{5},{2,3,4},{6,7}}
{{},{},{1},{1},{3,4},{5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3,4},{2,5},{6},{6}}
{{},{},{1},{1},{3,4},{2,5},{6},{7}}
{{},{},{1},{1},{3,4},{2,5},{6},{2,5}}
{{},{},{1},{1},{3,4},{2,5},{6},{3,4}}
{{},{},{1},{1},{3,4},{2,5},{6},{2,3,4}}
{{},{},{1},{1},{3,4},{2,5},{2,5},{2,5}}
{{},{},{1},{1},{3,4},{2,5},{2,5},{3,4}}
{{},{},{1},{1},{3,4},{2,5},{2,5},{6,7}}
{{},{},{1},{1},{3,4},{2,5},{2,5},{2,3,4}}
{{},{},{1},{1},{3,4},{2,5},{3,4},{2,7}}
{{},{},{1},{1},{3,4},{2,5},{3,4},{3,4}}
{{},{},{1},{1},{3,4},{2,5},{3,4},{5,7}}
{{},{},{1},{1},{3,4},{2,5},{3,4},{6,7}}
{{},{},{1},{1},{3,4},{2,5},{3,4},{2,3,4}}
{{},{},{1},{1},{3,4},{2,5},{3,4},{2,5,7}}
{{},{},{1},{1},{3,4},{2,5},{2,3,4},{7}}
{{},{},{1},{1},{3,4},{2,5},{2,3,4},{5,7}}
{{},{},{1},{1},{3,4},{2,5},{2,3,4},{6,7}}
{{},{},{1},{1},{3,4},{2,5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3,4},{3,4},{3,4},{3,4}}
{{},{},{1},{1},{3,4},{3,4},{3,4},{5,6}}
{{},{},{1},{1},{3,4},{3,4},{3,4},{2,3,4}}
{{},{},{1},{1},{3,4},{3,4},{3,4},{2,5,6}}
{{},{},{1},{1},{3,4},{3,4},{3,4},{5,6,7}}
{{},{},{1},{1},{3,4},{3,4},{3,4},{2,5,6,7}}
{{},{},{1},{1},{3,4},{3,4},{5,6},{7}}
{{},{},{1},{1},{3,4},{3,4},{5,6},{2,7}}
{{},{},{1},{1},{3,4},{3,4},{5,6},{5,6}}
{{},{},{1},{1},{3,4},{3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{3,4},{3,4},{5,6},{2,5,6}}
{{},{},{1},{1},{3,4},{3,4},{2,3,4},{7}}
{{},{},{1},{1},{3,4},{3,4},{2,3,4},{5,7}}
{{},{},{1},{1},{3,4},{3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3,4},{3,4},{2,3,4},{2,5,6}}
{{},{},{1},{1},{3,4},{3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{3,4},{3,4},{2,5,6},{7}}
{{},{},{1},{1},{3,4},{3,4},{2,5,6},{2,5,6}}
{{},{},{1},{1},{3,4},{2,3,4},{6},{6}}
{{},{},{1},{1},{3,4},{2,3,4},{6},{7}}
{{},{},{1},{1},{3,4},{2,3,4},{6},{5,6}}
{{},{},{1},{1},{3,4},{2,3,4},{6},{5,7}}
{{},{},{1},{1},{3,4},{2,3,4},{6},{2,3,4}}
{{},{},{1},{1},{3,4},{2,3,4},{5,6},{7}}
{{},{},{1},{1},{3,4},{2,3,4},{5,6},{5,6}}
{{},{},{1},{1},{3,4},{2,3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{3,4},{2,3,4},{2,3,4},{6,7}}
{{},{},{1},{1},{3,4},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{3,4},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{1},{1},{2,3,4},{5},{5},{5}}
{{},{},{1},{1},{2,3,4},{5},{5},{6}}
{{},{},{1},{1},{2,3,4},{5},{5},{6,7}}
{{},{},{1},{1},{2,3,4},{5},{5},{2,3,4}}
{{},{},{1},{1},{2,3,4},{5},{6},{6}}
{{},{},{1},{1},{2,3,4},{5},{6},{7}}
{{},{},{1},{1},{2,3,4},{5},{6},{2,3,4}}
{{},{},{1},{1},{2,3,4},{5},{2,3,4},{7}}
{{},{},{1},{1},{2,3,4},{5},{2,3,4},{5,7}}
{{},{},{1},{1},{2,3,4},{5},{2,3,4},{6,7}}
{{},{},{1},{1},{2,3,4},{5},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3,4},{2,3,4},{5,6},{7}}
{{},{},{1},{1},{2,3,4},{2,3,4},{5,6},{5,6}}
{{},{},{1},{1},{2,3,4},{2,3,4},{5,6},{2,3,4}}
{{},{},{1},{1},{2,3,4},{2,3,4},{2,3,4},{2,3,4}}
{{},{},{1},{1},{2,3,4},{2,3,4},{2,3,4},{5,6,7}}
{{},{},{1},{2},{3},{3},{3},{3}}
{{},{},{1},{2},{3},{3},{3},{4}}
{{},{},{1},{2},{3},{3},{3},{5}}
{{},{},{1},{2},{3},{3},{3},{1,2}}
{{},{},{1},{2},{3},{3},{3},{1,4}}
{{},{},{1},{2},{3},{3},{3},{2,3}}
{{},{},{1},{2},{3},{3},{3},{2,5}}
{{},{},{1},{2},{3},{3},{3},{3,4}}
{{},{},{1},{2},{3},{3},{3},{4,5}}
{{},{},{1},{2},{3},{3},{3},{5,6}}
{{},{},{1},{2},{3},{3},{3},{2,5,6}}
{{},{},{1},{2},{3},{3},{3},{4,5,6}}
{{},{},{1},{2},{3},{3},{3},{5,6,7}}
{{},{},{1},{2},{3},{3},{3},{2,5,6,7}}
{{},{},{1},{2},{3},{3},{3},{4,5,6,7}}
{{},{},{1},{2},{3},{3},{4},{4}}
{{},{},{1},{2},{3},{3},{4},{5}}
{{},{},{1},{2},{3},{3},{4},{7}}
{{},{},{1},{2},{3},{3},{4},{1,2}}
{{},{},{1},{2},{3},{3},{4},{1,4}}
{{},{},{1},{2},{3},{3},{4},{1,7}}
{{},{},{1},{2},{3},{3},{4},{2,3}}
{{},{},{1},{2},{3},{3},{4},{2,5}}
{{},{},{1},{2},{3},{3},{4},{3,4}}
{{},{},{1},{2},{3},{3},{4},{3,7}}
{{},{},{1},{2},{3},{3},{4},{4,5}}
{{},{},{1},{2},{3},{3},{4},{5,6}}
{{},{},{1},{2},{3},{3},{4},{5,7}}
{{},{},{1},{2},{3},{3},{4},{2,5,6}}
{{},{},{1},{2},{3},{3},{4},{4,5,6}}
{{},{},{1},{2},{3},{3},{4},{5,6,7}}
{{},{},{1},{2},{3},{3},{5},{5}}
{{},{},{1},{2},{3},{3},{5},{6}}
{{},{},{1},{2},{3},{3},{5},{7}}
{{},{},{1},{2},{3},{3},{5},{1,2}}
{{},{},{1},{2},{3},{3},{5},{1,4}}
{{},{},{1},{2},{3},{3},{5},{2,3}}
{{},{},{1},{2},{3},{3},{5},{2,5}}
{{},{},{1},{2},{3},{3},{5},{2,6}}
{{},{},{1},{2},{3},{3},{5},{2,7}}
{{},{},{1},{2},{3},{3},{5},{3,4}}
{{},{},{1},{2},{3},{3},{5},{4,5}}
{{},{},{1},{2},{3},{3},{5},{4,6}}
{{},{},{1},{2},{3},{3},{5},{4,7}}
{{},{},{1},{2},{3},{3},{5},{5,6}}
{{},{},{1},{2},{3},{3},{5},{6,7}}
{{},{},{1},{2},{3},{3},{5},{2,5,6}}
{{},{},{1},{2},{3},{3},{5},{2,6,7}}
{{},{},{1},{2},{3},{3},{5},{4,5,6}}
{{},{},{1},{2},{3},{3},{5},{4,6,7}}
{{},{},{1},{2},{3},{3},{1,2},{7}}
{{},{},{1},{2},{3},{3},{1,2},{1,2}}
{{},{},{1},{2},{3},{3},{1,2},{1,4}}
{{},{},{1},{2},{3},{3},{1,2},{2,3}}
{{},{},{1},{2},{3},{3},{1,2},{2,5}}
{{},{},{1},{2},{3},{3},{1,2},{3,4}}
{{},{},{1},{2},{3},{3},{1,2},{3,7}}
{{},{},{1},{2},{3},{3},{1,2},{4,5}}
{{},{},{1},{2},{3},{3},{1,2},{4,7}}
{{},{},{1},{2},{3},{3},{1,2},{5,6}}
{{},{},{1},{2},{3},{3},{1,2},{5,7}}
{{},{},{1},{2},{3},{3},{1,2},{2,5,6}}
{{},{},{1},{2},{3},{3},{1,2},{3,4,7}}
{{},{},{1},{2},{3},{3},{1,2},{4,5,6}}
{{},{},{1},{2},{3},{3},{1,2},{4,5,7}}
{{},{},{1},{2},{3},{3},{1,2},{5,6,7}}
{{},{},{1},{2},{3},{3},{1,2},{4,5,6,7}}
{{},{},{1},{2},{3},{3},{1,4},{7}}
{{},{},{1},{2},{3},{3},{1,4},{1,4}}
{{},{},{1},{2},{3},{3},{1,4},{2,3}}
{{},{},{1},{2},{3},{3},{1,4},{2,5}}
{{},{},{1},{2},{3},{3},{1,4},{3,4}}
{{},{},{1},{2},{3},{3},{1,4},{3,7}}
{{},{},{1},{2},{3},{3},{1,4},{4,5}}
{{},{},{1},{2},{3},{3},{1,4},{5,6}}
{{},{},{1},{2},{3},{3},{1,4},{5,7}}
{{},{},{1},{2},{3},{3},{1,4},{2,5,6}}
{{},{},{1},{2},{3},{3},{1,4},{4,5,6}}
{{},{},{1},{2},{3},{3},{1,4},{5,6,7}}
{{},{},{1},{2},{3},{3},{2,3},{7}}
{{},{},{1},{2},{3},{3},{2,3},{2,3}}
{{},{},{1},{2},{3},{3},{2,3},{2,5}}
{{},{},{1},{2},{3},{3},{2,3},{3,4}}
{{},{},{1},{2},{3},{3},{2,3},{4,5}}
{{},{},{1},{2},{3},{3},{2,3},{4,7}}
{{},{},{1},{2},{3},{3},{2,3},{5,6}}
{{},{},{1},{2},{3},{3},{2,3},{5,7}}
{{},{},{1},{2},{3},{3},{2,3},{2,5,6}}
{{},{},{1},{2},{3},{3},{2,3},{4,5,6}}
{{},{},{1},{2},{3},{3},{2,3},{4,5,7}}
{{},{},{1},{2},{3},{3},{2,3},{5,6,7}}
{{},{},{1},{2},{3},{3},{2,3},{4,5,6,7}}
{{},{},{1},{2},{3},{3},{2,5},{7}}
{{},{},{1},{2},{3},{3},{2,5},{2,5}}
{{},{},{1},{2},{3},{3},{2,5},{2,6}}
{{},{},{1},{2},{3},{3},{2,5},{3,4}}
{{},{},{1},{2},{3},{3},{2,5},{4,5}}
{{},{},{1},{2},{3},{3},{2,5},{4,6}}
{{},{},{1},{2},{3},{3},{2,5},{4,7}}
{{},{},{1},{2},{3},{3},{2,5},{5,6}}
{{},{},{1},{2},{3},{3},{2,5},{6,7}}
{{},{},{1},{2},{3},{3},{2,5},{2,5,6}}
{{},{},{1},{2},{3},{3},{2,5},{4,5,6}}
{{},{},{1},{2},{3},{3},{2,5},{4,6,7}}
{{},{},{1},{2},{3},{3},{3,4},{7}}
{{},{},{1},{2},{3},{3},{3,4},{3,4}}
{{},{},{1},{2},{3},{3},{3,4},{4,5}}
{{},{},{1},{2},{3},{3},{3,4},{5,6}}
{{},{},{1},{2},{3},{3},{3,4},{5,7}}
{{},{},{1},{2},{3},{3},{3,4},{2,5,6}}
{{},{},{1},{2},{3},{3},{3,4},{4,5,6}}
{{},{},{1},{2},{3},{3},{3,4},{5,6,7}}
{{},{},{1},{2},{3},{3},{4,5},{7}}
{{},{},{1},{2},{3},{3},{4,5},{4,5}}
{{},{},{1},{2},{3},{3},{4,5},{4,6}}
{{},{},{1},{2},{3},{3},{4,5},{5,6}}
{{},{},{1},{2},{3},{3},{4,5},{6,7}}
{{},{},{1},{2},{3},{3},{4,5},{2,5,6}}
{{},{},{1},{2},{3},{3},{4,5},{4,5,6}}
{{},{},{1},{2},{3},{3},{5,6},{7}}
{{},{},{1},{2},{3},{3},{5,6},{2,7}}
{{},{},{1},{2},{3},{3},{5,6},{4,7}}
{{},{},{1},{2},{3},{3},{5,6},{5,6}}
{{},{},{1},{2},{3},{3},{5,6},{2,5,6}}
{{},{},{1},{2},{3},{3},{5,6},{4,5,6}}
{{},{},{1},{2},{3},{3},{2,5,6},{7}}
{{},{},{1},{2},{3},{3},{2,5,6},{4,7}}
{{},{},{1},{2},{3},{3},{2,5,6},{2,5,6}}
{{},{},{1},{2},{3},{3},{2,5,6},{4,5,6}}
{{},{},{1},{2},{3},{3},{4,5,6},{7}}
{{},{},{1},{2},{3},{3},{4,5,6},{4,5,6}}
{{},{},{1},{2},{3},{4},{5},{5}}
{{},{},{1},{2},{3},{4},{5},{6}}
{{},{},{1},{2},{3},{4},{5},{7}}
{{},{},{1},{2},{3},{4},{5},{1,2}}
{{},{},{1},{2},{3},{4},{5},{1,4}}
{{},{},{1},{2},{3},{4},{5},{1,6}}
{{},{},{1},{2},{3},{4},{5},{2,3}}
{{},{},{1},{2},{3},{4},{5},{2,5}}
{{},{},{1},{2},{3},{4},{5},{2,7}}
{{},{},{1},{2},{3},{4},{5},{3,4}}
{{},{},{1},{2},{3},{4},{5},{3,6}}
{{},{},{1},{2},{3},{4},{5},{4,5}}
{{},{},{1},{2},{3},{4},{5},{4,7}}
{{},{},{1},{2},{3},{4},{5},{5,6}}
{{},{},{1},{2},{3},{4},{5},{6,7}}
{{},{},{1},{2},{3},{4},{1,2},{7}}
{{},{},{1},{2},{3},{4},{1,2},{1,2}}
{{},{},{1},{2},{3},{4},{1,2},{1,4}}
{{},{},{1},{2},{3},{4},{1,2},{1,6}}
{{},{},{1},{2},{3},{4},{1,2},{3,4}}
{{},{},{1},{2},{3},{4},{1,2},{3,6}}
{{},{},{1},{2},{3},{4},{1,2},{3,7}}
{{},{},{1},{2},{3},{4},{1,2},{5,6}}
{{},{},{1},{2},{3},{4},{1,2},{5,7}}
{{},{},{1},{2},{3},{4},{1,2},{3,4,7}}
{{},{},{1},{2},{3},{4},{1,2},{3,6,7}}
{{},{},{1},{2},{3},{4},{1,2},{5,6,7}}
{{},{},{1},{2},{3},{4},{1,4},{7}}
{{},{},{1},{2},{3},{4},{1,4},{1,4}}
{{},{},{1},{2},{3},{4},{1,4},{1,6}}
{{},{},{1},{2},{3},{4},{1,4},{2,3}}
{{},{},{1},{2},{3},{4},{1,4},{2,5}}
{{},{},{1},{2},{3},{4},{1,4},{3,4}}
{{},{},{1},{2},{3},{4},{1,4},{3,6}}
{{},{},{1},{2},{3},{4},{1,4},{3,7}}
{{},{},{1},{2},{3},{4},{1,4},{4,5}}
{{},{},{1},{2},{3},{4},{1,4},{5,6}}
{{},{},{1},{2},{3},{4},{1,4},{5,7}}
{{},{},{1},{2},{3},{4},{1,4},{6,7}}
{{},{},{1},{2},{3},{4},{1,4},{3,6,7}}
{{},{},{1},{2},{3},{4},{1,4},{5,6,7}}
{{},{},{1},{2},{3},{4},{1,6},{7}}
{{},{},{1},{2},{3},{4},{1,6},{1,6}}
{{},{},{1},{2},{3},{4},{1,6},{2,5}}
{{},{},{1},{2},{3},{4},{1,6},{3,4}}
{{},{},{1},{2},{3},{4},{1,6},{3,6}}
{{},{},{1},{2},{3},{4},{1,6},{3,7}}
{{},{},{1},{2},{3},{4},{1,6},{4,5}}
{{},{},{1},{2},{3},{4},{1,6},{5,6}}
{{},{},{1},{2},{3},{4},{1,6},{5,7}}
{{},{},{1},{2},{3},{4},{3,4},{7}}
{{},{},{1},{2},{3},{4},{3,4},{3,4}}
{{},{},{1},{2},{3},{4},{3,4},{3,6}}
{{},{},{1},{2},{3},{4},{3,4},{5,6}}
{{},{},{1},{2},{3},{4},{3,4},{5,7}}
{{},{},{1},{2},{3},{4},{3,4},{5,6,7}}
{{},{},{1},{2},{3},{4},{3,6},{7}}
{{},{},{1},{2},{3},{4},{3,6},{3,6}}
{{},{},{1},{2},{3},{4},{3,6},{4,5}}
{{},{},{1},{2},{3},{4},{3,6},{5,6}}
{{},{},{1},{2},{3},{4},{3,6},{5,7}}
{{},{},{1},{2},{3},{4},{5,6},{7}}
{{},{},{1},{2},{3},{4},{5,6},{5,6}}
{{},{},{1},{2},{3},{5},{5},{5}}
{{},{},{1},{2},{3},{5},{5},{6}}
{{},{},{1},{2},{3},{5},{5},{1,2}}
{{},{},{1},{2},{3},{5},{5},{1,4}}
{{},{},{1},{2},{3},{5},{5},{2,3}}
{{},{},{1},{2},{3},{5},{5},{2,5}}
{{},{},{1},{2},{3},{5},{5},{2,6}}
{{},{},{1},{2},{3},{5},{5},{3,4}}
{{},{},{1},{2},{3},{5},{5},{4,5}}
{{},{},{1},{2},{3},{5},{5},{4,6}}
{{},{},{1},{2},{3},{5},{5},{6,7}}
{{},{},{1},{2},{3},{5},{5},{2,6,7}}
{{},{},{1},{2},{3},{5},{5},{4,6,7}}
{{},{},{1},{2},{3},{5},{6},{6}}
{{},{},{1},{2},{3},{5},{6},{7}}
{{},{},{1},{2},{3},{5},{6},{1,2}}
{{},{},{1},{2},{3},{5},{6},{1,4}}
{{},{},{1},{2},{3},{5},{6},{2,3}}
{{},{},{1},{2},{3},{5},{6},{2,5}}
{{},{},{1},{2},{3},{5},{6},{2,6}}
{{},{},{1},{2},{3},{5},{6},{2,7}}
{{},{},{1},{2},{3},{5},{6},{3,4}}
{{},{},{1},{2},{3},{5},{6},{4,5}}
{{},{},{1},{2},{3},{5},{6},{4,6}}
{{},{},{1},{2},{3},{5},{6},{4,7}}
{{},{},{1},{2},{3},{5},{1,2},{7}}
{{},{},{1},{2},{3},{5},{1,2},{1,2}}
{{},{},{1},{2},{3},{5},{1,2},{1,4}}
{{},{},{1},{2},{3},{5},{1,2},{2,3}}
{{},{},{1},{2},{3},{5},{1,2},{2,5}}
{{},{},{1},{2},{3},{5},{1,2},{2,6}}
{{},{},{1},{2},{3},{5},{1,2},{3,4}}
{{},{},{1},{2},{3},{5},{1,2},{3,7}}
{{},{},{1},{2},{3},{5},{1,2},{4,5}}
{{},{},{1},{2},{3},{5},{1,2},{4,6}}
{{},{},{1},{2},{3},{5},{1,2},{4,7}}
{{},{},{1},{2},{3},{5},{1,2},{5,7}}
{{},{},{1},{2},{3},{5},{1,2},{6,7}}
{{},{},{1},{2},{3},{5},{1,2},{3,4,7}}
{{},{},{1},{2},{3},{5},{1,2},{4,5,7}}
{{},{},{1},{2},{3},{5},{1,2},{4,6,7}}
{{},{},{1},{2},{3},{5},{1,4},{7}}
{{},{},{1},{2},{3},{5},{1,4},{1,4}}
{{},{},{1},{2},{3},{5},{1,4},{2,3}}
{{},{},{1},{2},{3},{5},{1,4},{2,5}}
{{},{},{1},{2},{3},{5},{1,4},{2,6}}
{{},{},{1},{2},{3},{5},{1,4},{3,4}}
{{},{},{1},{2},{3},{5},{1,4},{3,7}}
{{},{},{1},{2},{3},{5},{1,4},{4,5}}
{{},{},{1},{2},{3},{5},{1,4},{4,6}}
{{},{},{1},{2},{3},{5},{1,4},{5,7}}
{{},{},{1},{2},{3},{5},{1,4},{6,7}}
{{},{},{1},{2},{3},{5},{2,3},{7}}
{{},{},{1},{2},{3},{5},{2,3},{2,3}}
{{},{},{1},{2},{3},{5},{2,3},{2,5}}
{{},{},{1},{2},{3},{5},{2,3},{2,6}}
{{},{},{1},{2},{3},{5},{2,3},{3,4}}
{{},{},{1},{2},{3},{5},{2,3},{4,5}}
{{},{},{1},{2},{3},{5},{2,3},{4,6}}
{{},{},{1},{2},{3},{5},{2,3},{4,7}}
{{},{},{1},{2},{3},{5},{2,3},{5,7}}
{{},{},{1},{2},{3},{5},{2,3},{6,7}}
{{},{},{1},{2},{3},{5},{2,3},{4,5,7}}
{{},{},{1},{2},{3},{5},{2,3},{4,6,7}}
{{},{},{1},{2},{3},{5},{2,5},{7}}
{{},{},{1},{2},{3},{5},{2,5},{2,5}}
{{},{},{1},{2},{3},{5},{2,5},{2,6}}
{{},{},{1},{2},{3},{5},{2,5},{3,4}}
{{},{},{1},{2},{3},{5},{2,5},{4,5}}
{{},{},{1},{2},{3},{5},{2,5},{4,6}}
{{},{},{1},{2},{3},{5},{2,5},{4,7}}
{{},{},{1},{2},{3},{5},{2,5},{6,7}}
{{},{},{1},{2},{3},{5},{2,5},{4,6,7}}
{{},{},{1},{2},{3},{5},{2,6},{7}}
{{},{},{1},{2},{3},{5},{2,6},{2,6}}
{{},{},{1},{2},{3},{5},{2,6},{3,4}}
{{},{},{1},{2},{3},{5},{2,6},{4,5}}
{{},{},{1},{2},{3},{5},{2,6},{4,6}}
{{},{},{1},{2},{3},{5},{2,6},{4,7}}
{{},{},{1},{2},{3},{5},{3,4},{7}}
{{},{},{1},{2},{3},{5},{3,4},{3,4}}
{{},{},{1},{2},{3},{5},{3,4},{4,5}}
{{},{},{1},{2},{3},{5},{3,4},{4,6}}
{{},{},{1},{2},{3},{5},{3,4},{5,7}}
{{},{},{1},{2},{3},{5},{3,4},{6,7}}
{{},{},{1},{2},{3},{5},{4,5},{7}}
{{},{},{1},{2},{3},{5},{4,5},{4,5}}
{{},{},{1},{2},{3},{5},{4,5},{4,6}}
{{},{},{1},{2},{3},{5},{4,5},{6,7}}
{{},{},{1},{2},{3},{5},{4,6},{7}}
{{},{},{1},{2},{3},{5},{4,6},{4,6}}
{{},{},{1},{2},{3},{1,2},{6},{6}}
{{},{},{1},{2},{3},{1,2},{6},{7}}
{{},{},{1},{2},{3},{1,2},{6},{1,2}}
{{},{},{1},{2},{3},{1,2},{6},{1,4}}
{{},{},{1},{2},{3},{1,2},{6},{2,3}}
{{},{},{1},{2},{3},{1,2},{6},{2,5}}
{{},{},{1},{2},{3},{1,2},{6},{3,4}}
{{},{},{1},{2},{3},{1,2},{6},{3,6}}
{{},{},{1},{2},{3},{1,2},{6},{3,7}}
{{},{},{1},{2},{3},{1,2},{6},{4,5}}
{{},{},{1},{2},{3},{1,2},{6},{4,6}}
{{},{},{1},{2},{3},{1,2},{6},{4,7}}
{{},{},{1},{2},{3},{1,2},{6},{5,6}}
{{},{},{1},{2},{3},{1,2},{6},{5,7}}
{{},{},{1},{2},{3},{1,2},{6},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{6},{3,4,7}}
{{},{},{1},{2},{3},{1,2},{6},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{6},{4,5,7}}
{{},{},{1},{2},{3},{1,2},{1,2},{1,2}}
{{},{},{1},{2},{3},{1,2},{1,2},{1,4}}
{{},{},{1},{2},{3},{1,2},{1,2},{2,3}}
{{},{},{1},{2},{3},{1,2},{1,2},{2,5}}
{{},{},{1},{2},{3},{1,2},{1,2},{3,4}}
{{},{},{1},{2},{3},{1,2},{1,2},{3,6}}
{{},{},{1},{2},{3},{1,2},{1,2},{4,5}}
{{},{},{1},{2},{3},{1,2},{1,2},{4,6}}
{{},{},{1},{2},{3},{1,2},{1,2},{5,6}}
{{},{},{1},{2},{3},{1,2},{1,2},{6,7}}
{{},{},{1},{2},{3},{1,2},{1,2},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{1,2},{3,6,7}}
{{},{},{1},{2},{3},{1,2},{1,2},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{1,2},{4,6,7}}
{{},{},{1},{2},{3},{1,2},{1,2},{5,6,7}}
{{},{},{1},{2},{3},{1,2},{1,2},{3,4,6,7}}
{{},{},{1},{2},{3},{1,2},{1,2},{4,5,6,7}}
{{},{},{1},{2},{3},{1,2},{1,4},{7}}
{{},{},{1},{2},{3},{1,2},{1,4},{1,4}}
{{},{},{1},{2},{3},{1,2},{1,4},{2,3}}
{{},{},{1},{2},{3},{1,2},{1,4},{2,5}}
{{},{},{1},{2},{3},{1,2},{1,4},{3,4}}
{{},{},{1},{2},{3},{1,2},{1,4},{3,6}}
{{},{},{1},{2},{3},{1,2},{1,4},{3,7}}
{{},{},{1},{2},{3},{1,2},{1,4},{4,5}}
{{},{},{1},{2},{3},{1,2},{1,4},{4,6}}
{{},{},{1},{2},{3},{1,2},{1,4},{5,6}}
{{},{},{1},{2},{3},{1,2},{1,4},{5,7}}
{{},{},{1},{2},{3},{1,2},{1,4},{6,7}}
{{},{},{1},{2},{3},{1,2},{1,4},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{1,4},{3,6,7}}
{{},{},{1},{2},{3},{1,2},{1,4},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{1,4},{5,6,7}}
{{},{},{1},{2},{3},{1,2},{2,3},{7}}
{{},{},{1},{2},{3},{1,2},{2,3},{2,3}}
{{},{},{1},{2},{3},{1,2},{2,3},{2,5}}
{{},{},{1},{2},{3},{1,2},{2,3},{3,4}}
{{},{},{1},{2},{3},{1,2},{2,3},{3,6}}
{{},{},{1},{2},{3},{1,2},{2,3},{4,5}}
{{},{},{1},{2},{3},{1,2},{2,3},{4,6}}
{{},{},{1},{2},{3},{1,2},{2,3},{4,7}}
{{},{},{1},{2},{3},{1,2},{2,3},{5,6}}
{{},{},{1},{2},{3},{1,2},{2,3},{5,7}}
{{},{},{1},{2},{3},{1,2},{2,3},{6,7}}
{{},{},{1},{2},{3},{1,2},{2,3},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{2,3},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{2,3},{4,5,7}}
{{},{},{1},{2},{3},{1,2},{2,3},{4,6,7}}
{{},{},{1},{2},{3},{1,2},{2,3},{5,6,7}}
{{},{},{1},{2},{3},{1,2},{2,3},{4,5,6,7}}
{{},{},{1},{2},{3},{1,2},{2,5},{7}}
{{},{},{1},{2},{3},{1,2},{2,5},{2,5}}
{{},{},{1},{2},{3},{1,2},{2,5},{3,4}}
{{},{},{1},{2},{3},{1,2},{2,5},{3,6}}
{{},{},{1},{2},{3},{1,2},{2,5},{4,5}}
{{},{},{1},{2},{3},{1,2},{2,5},{4,6}}
{{},{},{1},{2},{3},{1,2},{2,5},{4,7}}
{{},{},{1},{2},{3},{1,2},{2,5},{5,6}}
{{},{},{1},{2},{3},{1,2},{2,5},{6,7}}
{{},{},{1},{2},{3},{1,2},{2,5},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{2,5},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{2,5},{4,6,7}}
{{},{},{1},{2},{3},{1,2},{3,4},{7}}
{{},{},{1},{2},{3},{1,2},{3,4},{3,4}}
{{},{},{1},{2},{3},{1,2},{3,4},{3,6}}
{{},{},{1},{2},{3},{1,2},{3,4},{4,5}}
{{},{},{1},{2},{3},{1,2},{3,4},{4,6}}
{{},{},{1},{2},{3},{1,2},{3,4},{5,6}}
{{},{},{1},{2},{3},{1,2},{3,4},{5,7}}
{{},{},{1},{2},{3},{1,2},{3,4},{6,7}}
{{},{},{1},{2},{3},{1,2},{3,4},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{3,4},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{3,4},{5,6,7}}
{{},{},{1},{2},{3},{1,2},{3,6},{7}}
{{},{},{1},{2},{3},{1,2},{3,6},{3,6}}
{{},{},{1},{2},{3},{1,2},{3,6},{4,5}}
{{},{},{1},{2},{3},{1,2},{3,6},{4,6}}
{{},{},{1},{2},{3},{1,2},{3,6},{4,7}}
{{},{},{1},{2},{3},{1,2},{3,6},{5,6}}
{{},{},{1},{2},{3},{1,2},{3,6},{5,7}}
{{},{},{1},{2},{3},{1,2},{3,6},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{3,6},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{3,6},{4,5,7}}
{{},{},{1},{2},{3},{1,2},{4,5},{7}}
{{},{},{1},{2},{3},{1,2},{4,5},{4,5}}
{{},{},{1},{2},{3},{1,2},{4,5},{4,6}}
{{},{},{1},{2},{3},{1,2},{4,5},{5,6}}
{{},{},{1},{2},{3},{1,2},{4,5},{6,7}}
{{},{},{1},{2},{3},{1,2},{4,5},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{4,5},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{4,6},{7}}
{{},{},{1},{2},{3},{1,2},{4,6},{3,7}}
{{},{},{1},{2},{3},{1,2},{4,6},{4,6}}
{{},{},{1},{2},{3},{1,2},{4,6},{5,6}}
{{},{},{1},{2},{3},{1,2},{4,6},{5,7}}
{{},{},{1},{2},{3},{1,2},{4,6},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{4,6},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{5,6},{7}}
{{},{},{1},{2},{3},{1,2},{5,6},{4,7}}
{{},{},{1},{2},{3},{1,2},{5,6},{5,6}}
{{},{},{1},{2},{3},{1,2},{5,6},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{5,6},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{3,4,6},{7}}
{{},{},{1},{2},{3},{1,2},{3,4,6},{5,7}}
{{},{},{1},{2},{3},{1,2},{3,4,6},{3,4,6}}
{{},{},{1},{2},{3},{1,2},{3,4,6},{4,5,6}}
{{},{},{1},{2},{3},{1,2},{4,5,6},{7}}
{{},{},{1},{2},{3},{1,2},{4,5,6},{4,5,6}}
{{},{},{1},{2},{3},{1,4},{6},{6}}
{{},{},{1},{2},{3},{1,4},{6},{7}}
{{},{},{1},{2},{3},{1,4},{6},{1,4}}
{{},{},{1},{2},{3},{1,4},{6},{2,3}}
{{},{},{1},{2},{3},{1,4},{6},{2,5}}
{{},{},{1},{2},{3},{1,4},{6},{3,4}}
{{},{},{1},{2},{3},{1,4},{6},{3,6}}
{{},{},{1},{2},{3},{1,4},{6},{3,7}}
{{},{},{1},{2},{3},{1,4},{6},{4,5}}
{{},{},{1},{2},{3},{1,4},{6},{5,6}}
{{},{},{1},{2},{3},{1,4},{6},{5,7}}
{{},{},{1},{2},{3},{1,4},{1,4},{1,4}}
{{},{},{1},{2},{3},{1,4},{1,4},{2,3}}
{{},{},{1},{2},{3},{1,4},{1,4},{2,5}}
{{},{},{1},{2},{3},{1,4},{1,4},{3,4}}
{{},{},{1},{2},{3},{1,4},{1,4},{3,6}}
{{},{},{1},{2},{3},{1,4},{1,4},{4,5}}
{{},{},{1},{2},{3},{1,4},{1,4},{5,6}}
{{},{},{1},{2},{3},{1,4},{1,4},{6,7}}
{{},{},{1},{2},{3},{1,4},{1,4},{3,6,7}}
{{},{},{1},{2},{3},{1,4},{1,4},{5,6,7}}
{{},{},{1},{2},{3},{1,4},{2,3},{7}}
{{},{},{1},{2},{3},{1,4},{2,3},{2,3}}
{{},{},{1},{2},{3},{1,4},{2,3},{2,5}}
{{},{},{1},{2},{3},{1,4},{2,3},{3,4}}
{{},{},{1},{2},{3},{1,4},{2,3},{3,6}}
{{},{},{1},{2},{3},{1,4},{2,3},{4,5}}
{{},{},{1},{2},{3},{1,4},{2,3},{4,7}}
{{},{},{1},{2},{3},{1,4},{2,3},{5,6}}
{{},{},{1},{2},{3},{1,4},{2,3},{5,7}}
{{},{},{1},{2},{3},{1,4},{2,3},{6,7}}
{{},{},{1},{2},{3},{1,4},{2,3},{4,5,7}}
{{},{},{1},{2},{3},{1,4},{2,3},{5,6,7}}
{{},{},{1},{2},{3},{1,4},{2,5},{7}}
{{},{},{1},{2},{3},{1,4},{2,5},{2,5}}
{{},{},{1},{2},{3},{1,4},{2,5},{3,4}}
{{},{},{1},{2},{3},{1,4},{2,5},{3,6}}
{{},{},{1},{2},{3},{1,4},{2,5},{4,5}}
{{},{},{1},{2},{3},{1,4},{2,5},{4,7}}
{{},{},{1},{2},{3},{1,4},{2,5},{5,6}}
{{},{},{1},{2},{3},{1,4},{2,5},{6,7}}
{{},{},{1},{2},{3},{1,4},{3,4},{7}}
{{},{},{1},{2},{3},{1,4},{3,4},{3,4}}
{{},{},{1},{2},{3},{1,4},{3,4},{3,6}}
{{},{},{1},{2},{3},{1,4},{3,4},{4,5}}
{{},{},{1},{2},{3},{1,4},{3,4},{5,6}}
{{},{},{1},{2},{3},{1,4},{3,4},{5,7}}
{{},{},{1},{2},{3},{1,4},{3,4},{6,7}}
{{},{},{1},{2},{3},{1,4},{3,4},{5,6,7}}
{{},{},{1},{2},{3},{1,4},{3,6},{7}}
{{},{},{1},{2},{3},{1,4},{3,6},{3,6}}
{{},{},{1},{2},{3},{1,4},{3,6},{4,5}}
{{},{},{1},{2},{3},{1,4},{3,6},{5,6}}
{{},{},{1},{2},{3},{1,4},{3,6},{5,7}}
{{},{},{1},{2},{3},{1,4},{4,5},{7}}
{{},{},{1},{2},{3},{1,4},{4,5},{4,5}}
{{},{},{1},{2},{3},{1,4},{4,5},{5,6}}
{{},{},{1},{2},{3},{1,4},{4,5},{6,7}}
{{},{},{1},{2},{3},{1,4},{5,6},{7}}
{{},{},{1},{2},{3},{1,4},{5,6},{5,6}}
{{},{},{1},{2},{3},{2,3},{6},{6}}
{{},{},{1},{2},{3},{2,3},{6},{7}}
{{},{},{1},{2},{3},{2,3},{6},{2,3}}
{{},{},{1},{2},{3},{2,3},{6},{2,5}}
{{},{},{1},{2},{3},{2,3},{6},{3,4}}
{{},{},{1},{2},{3},{2,3},{6},{4,5}}
{{},{},{1},{2},{3},{2,3},{6},{4,6}}
{{},{},{1},{2},{3},{2,3},{6},{4,7}}
{{},{},{1},{2},{3},{2,3},{6},{5,6}}
{{},{},{1},{2},{3},{2,3},{6},{5,7}}
{{},{},{1},{2},{3},{2,3},{6},{4,5,6}}
{{},{},{1},{2},{3},{2,3},{6},{4,5,7}}
{{},{},{1},{2},{3},{2,3},{2,3},{2,3}}
{{},{},{1},{2},{3},{2,3},{2,3},{2,5}}
{{},{},{1},{2},{3},{2,3},{2,3},{3,4}}
{{},{},{1},{2},{3},{2,3},{2,3},{4,5}}
{{},{},{1},{2},{3},{2,3},{2,3},{4,6}}
{{},{},{1},{2},{3},{2,3},{2,3},{5,6}}
{{},{},{1},{2},{3},{2,3},{2,3},{6,7}}
{{},{},{1},{2},{3},{2,3},{2,3},{4,5,6}}
{{},{},{1},{2},{3},{2,3},{2,3},{4,6,7}}
{{},{},{1},{2},{3},{2,3},{2,3},{5,6,7}}
{{},{},{1},{2},{3},{2,3},{2,3},{4,5,6,7}}
{{},{},{1},{2},{3},{2,3},{2,5},{7}}
{{},{},{1},{2},{3},{2,3},{2,5},{2,5}}
{{},{},{1},{2},{3},{2,3},{2,5},{3,4}}
{{},{},{1},{2},{3},{2,3},{2,5},{4,5}}
{{},{},{1},{2},{3},{2,3},{2,5},{4,6}}
{{},{},{1},{2},{3},{2,3},{2,5},{4,7}}
{{},{},{1},{2},{3},{2,3},{2,5},{5,6}}
{{},{},{1},{2},{3},{2,3},{2,5},{6,7}}
{{},{},{1},{2},{3},{2,3},{2,5},{4,5,6}}
{{},{},{1},{2},{3},{2,3},{2,5},{4,6,7}}
{{},{},{1},{2},{3},{2,3},{3,4},{7}}
{{},{},{1},{2},{3},{2,3},{3,4},{3,4}}
{{},{},{1},{2},{3},{2,3},{3,4},{4,5}}
{{},{},{1},{2},{3},{2,3},{3,4},{4,6}}
{{},{},{1},{2},{3},{2,3},{3,4},{5,6}}
{{},{},{1},{2},{3},{2,3},{3,4},{5,7}}
{{},{},{1},{2},{3},{2,3},{3,4},{6,7}}
{{},{},{1},{2},{3},{2,3},{3,4},{4,5,6}}
{{},{},{1},{2},{3},{2,3},{3,4},{5,6,7}}
{{},{},{1},{2},{3},{2,3},{4,5},{7}}
{{},{},{1},{2},{3},{2,3},{4,5},{4,5}}
{{},{},{1},{2},{3},{2,3},{4,5},{4,6}}
{{},{},{1},{2},{3},{2,3},{4,5},{5,6}}
{{},{},{1},{2},{3},{2,3},{4,5},{6,7}}
{{},{},{1},{2},{3},{2,3},{4,5},{4,5,6}}
{{},{},{1},{2},{3},{2,3},{4,6},{7}}
{{},{},{1},{2},{3},{2,3},{4,6},{4,6}}
{{},{},{1},{2},{3},{2,3},{4,6},{5,6}}
{{},{},{1},{2},{3},{2,3},{4,6},{5,7}}
{{},{},{1},{2},{3},{2,3},{4,6},{4,5,6}}
{{},{},{1},{2},{3},{2,3},{5,6},{7}}
{{},{},{1},{2},{3},{2,3},{5,6},{4,7}}
{{},{},{1},{2},{3},{2,3},{5,6},{5,6}}
{{},{},{1},{2},{3},{2,3},{5,6},{4,5,6}}
{{},{},{1},{2},{3},{2,3},{4,5,6},{7}}
{{},{},{1},{2},{3},{2,3},{4,5,6},{4,5,6}}
{{},{},{1},{2},{3},{2,5},{6},{6}}
{{},{},{1},{2},{3},{2,5},{6},{7}}
{{},{},{1},{2},{3},{2,5},{6},{2,5}}
{{},{},{1},{2},{3},{2,5},{6},{3,4}}
{{},{},{1},{2},{3},{2,5},{6},{4,5}}
{{},{},{1},{2},{3},{2,5},{6},{4,6}}
{{},{},{1},{2},{3},{2,5},{6},{4,7}}
{{},{},{1},{2},{3},{2,5},{2,5},{2,5}}
{{},{},{1},{2},{3},{2,5},{2,5},{3,4}}
{{},{},{1},{2},{3},{2,5},{2,5},{4,5}}
{{},{},{1},{2},{3},{2,5},{2,5},{4,6}}
{{},{},{1},{2},{3},{2,5},{2,5},{6,7}}
{{},{},{1},{2},{3},{2,5},{2,5},{4,6,7}}
{{},{},{1},{2},{3},{2,5},{3,4},{7}}
{{},{},{1},{2},{3},{2,5},{3,4},{3,4}}
{{},{},{1},{2},{3},{2,5},{3,4},{4,5}}
{{},{},{1},{2},{3},{2,5},{3,4},{4,6}}
{{},{},{1},{2},{3},{2,5},{3,4},{5,7}}
{{},{},{1},{2},{3},{2,5},{3,4},{6,7}}
{{},{},{1},{2},{3},{2,5},{4,5},{7}}
{{},{},{1},{2},{3},{2,5},{4,5},{4,5}}
{{},{},{1},{2},{3},{2,5},{4,5},{4,6}}
{{},{},{1},{2},{3},{2,5},{4,5},{6,7}}
{{},{},{1},{2},{3},{2,5},{4,6},{7}}
{{},{},{1},{2},{3},{2,5},{4,6},{4,6}}
{{},{},{1},{2},{3},{3,4},{6},{6}}
{{},{},{1},{2},{3},{3,4},{6},{7}}
{{},{},{1},{2},{3},{3,4},{6},{3,4}}
{{},{},{1},{2},{3},{3,4},{6},{4,5}}
{{},{},{1},{2},{3},{3,4},{6},{5,6}}
{{},{},{1},{2},{3},{3,4},{6},{5,7}}
{{},{},{1},{2},{3},{3,4},{3,4},{3,4}}
{{},{},{1},{2},{3},{3,4},{3,4},{4,5}}
{{},{},{1},{2},{3},{3,4},{3,4},{5,6}}
{{},{},{1},{2},{3},{3,4},{3,4},{6,7}}
{{},{},{1},{2},{3},{3,4},{3,4},{5,6,7}}
{{},{},{1},{2},{3},{3,4},{4,5},{7}}
{{},{},{1},{2},{3},{3,4},{4,5},{4,5}}
{{},{},{1},{2},{3},{3,4},{4,5},{5,6}}
{{},{},{1},{2},{3},{3,4},{4,5},{6,7}}
{{},{},{1},{2},{3},{3,4},{5,6},{7}}
{{},{},{1},{2},{3},{3,4},{5,6},{5,6}}
{{},{},{1},{2},{3},{4,5},{6},{6}}
{{},{},{1},{2},{3},{4,5},{6},{7}}
{{},{},{1},{2},{3},{4,5},{6},{4,5}}
{{},{},{1},{2},{3},{4,5},{4,5},{4,5}}
{{},{},{1},{2},{3},{4,5},{4,5},{6,7}}
{{},{},{1},{2},{1,2},{5},{5},{5}}
{{},{},{1},{2},{1,2},{5},{5},{6}}
{{},{},{1},{2},{1,2},{5},{5},{1,2}}
{{},{},{1},{2},{1,2},{5},{5},{1,4}}
{{},{},{1},{2},{1,2},{5},{5},{3,4}}
{{},{},{1},{2},{1,2},{5},{5},{3,5}}
{{},{},{1},{2},{1,2},{5},{5},{3,6}}
{{},{},{1},{2},{1,2},{5},{5},{6,7}}
{{},{},{1},{2},{1,2},{5},{5},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{5},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{5},{3,6,7}}
{{},{},{1},{2},{1,2},{5},{5},{3,4,6,7}}
{{},{},{1},{2},{1,2},{5},{6},{6}}
{{},{},{1},{2},{1,2},{5},{6},{7}}
{{},{},{1},{2},{1,2},{5},{6},{1,2}}
{{},{},{1},{2},{1,2},{5},{6},{1,4}}
{{},{},{1},{2},{1,2},{5},{6},{3,4}}
{{},{},{1},{2},{1,2},{5},{6},{3,5}}
{{},{},{1},{2},{1,2},{5},{6},{3,6}}
{{},{},{1},{2},{1,2},{5},{6},{3,7}}
{{},{},{1},{2},{1,2},{5},{6},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{6},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{6},{3,4,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{7}}
{{},{},{1},{2},{1,2},{5},{1,2},{1,2}}
{{},{},{1},{2},{1,2},{5},{1,2},{1,4}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,4}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,5}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,6}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{5,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{6,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,4,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,5,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,6,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,4,5,7}}
{{},{},{1},{2},{1,2},{5},{1,2},{3,4,6,7}}
{{},{},{1},{2},{1,2},{5},{1,4},{7}}
{{},{},{1},{2},{1,2},{5},{1,4},{1,4}}
{{},{},{1},{2},{1,2},{5},{1,4},{2,3}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,4}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,5}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,6}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,7}}
{{},{},{1},{2},{1,2},{5},{1,4},{4,5}}
{{},{},{1},{2},{1,2},{5},{1,4},{4,6}}
{{},{},{1},{2},{1,2},{5},{1,4},{5,7}}
{{},{},{1},{2},{1,2},{5},{1,4},{6,7}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,5,7}}
{{},{},{1},{2},{1,2},{5},{1,4},{3,6,7}}
{{},{},{1},{2},{1,2},{5},{3,4},{7}}
{{},{},{1},{2},{1,2},{5},{3,4},{3,4}}
{{},{},{1},{2},{1,2},{5},{3,4},{3,5}}
{{},{},{1},{2},{1,2},{5},{3,4},{3,6}}
{{},{},{1},{2},{1,2},{5},{3,4},{5,7}}
{{},{},{1},{2},{1,2},{5},{3,4},{6,7}}
{{},{},{1},{2},{1,2},{5},{3,4},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{3,4},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{3,5},{7}}
{{},{},{1},{2},{1,2},{5},{3,5},{3,5}}
{{},{},{1},{2},{1,2},{5},{3,5},{3,6}}
{{},{},{1},{2},{1,2},{5},{3,5},{4,5}}
{{},{},{1},{2},{1,2},{5},{3,5},{4,6}}
{{},{},{1},{2},{1,2},{5},{3,5},{4,7}}
{{},{},{1},{2},{1,2},{5},{3,5},{6,7}}
{{},{},{1},{2},{1,2},{5},{3,5},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{3,5},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{3,5},{4,6,7}}
{{},{},{1},{2},{1,2},{5},{3,6},{7}}
{{},{},{1},{2},{1,2},{5},{3,6},{3,6}}
{{},{},{1},{2},{1,2},{5},{3,6},{4,6}}
{{},{},{1},{2},{1,2},{5},{3,6},{4,7}}
{{},{},{1},{2},{1,2},{5},{3,6},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{3,6},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{3,4,5},{7}}
{{},{},{1},{2},{1,2},{5},{3,4,5},{6,7}}
{{},{},{1},{2},{1,2},{5},{3,4,5},{3,4,5}}
{{},{},{1},{2},{1,2},{5},{3,4,5},{3,4,6}}
{{},{},{1},{2},{1,2},{5},{3,4,6},{7}}
{{},{},{1},{2},{1,2},{5},{3,4,6},{3,4,6}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{1,2}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{1,4}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{3,4}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{3,5}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{5,6}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{3,4,5}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{3,5,6}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{5,6,7}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{3,5,6,7}}
{{},{},{1},{2},{1,2},{1,2},{1,2},{3,4,5,6,7}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{7}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{1,4}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{2,3}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,4}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,5}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,7}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{4,5}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{5,6}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{5,7}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,4,5}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,5,6}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,5,7}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{5,6,7}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{1,4},{3,5,6,7}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{7}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{3,4}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{3,5}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{5,7}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{3,4,5}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{3,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{5,6,7}}
{{},{},{1},{2},{1,2},{1,2},{3,4},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{7}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{3,5}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{3,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{4,5}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{4,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{4,7}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{6,7}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{3,4,5}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{3,4,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{3,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{4,6,7}}
{{},{},{1},{2},{1,2},{1,2},{3,5},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{5,6},{7}}
{{},{},{1},{2},{1,2},{1,2},{5,6},{3,7}}
{{},{},{1},{2},{1,2},{1,2},{5,6},{5,6}}
{{},{},{1},{2},{1,2},{1,2},{5,6},{3,4,5}}
{{},{},{1},{2},{1,2},{1,2},{5,6},{3,4,7}}
{{},{},{1},{2},{1,2},{1,2},{5,6},{3,5,6}}
{{},{},{1},{2},{1,2},{1,2},{5,6},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5},{7}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5},{6,7}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5},{3,4,5}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5},{3,4,6}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5},{3,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5,6},{7}}
{{},{},{1},{2},{1,2},{1,2},{3,5,6},{4,7}}
{{},{},{1},{2},{1,2},{1,2},{3,5,6},{3,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5,6},{4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,5,6},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5,6},{7}}
{{},{},{1},{2},{1,2},{1,2},{3,4,5,6},{3,4,5,6}}
{{},{},{1},{2},{1,2},{1,4},{6},{6}}
{{},{},{1},{2},{1,2},{1,4},{6},{7}}
{{},{},{1},{2},{1,2},{1,4},{6},{1,4}}
{{},{},{1},{2},{1,2},{1,4},{6},{2,3}}
{{},{},{1},{2},{1,2},{1,4},{6},{3,4}}
{{},{},{1},{2},{1,2},{1,4},{6},{3,5}}
{{},{},{1},{2},{1,2},{1,4},{6},{3,6}}
{{},{},{1},{2},{1,2},{1,4},{6},{3,7}}
{{},{},{1},{2},{1,2},{1,4},{6},{4,5}}
{{},{},{1},{2},{1,2},{1,4},{6},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{6},{5,7}}
{{},{},{1},{2},{1,2},{1,4},{6},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{6},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{6},{3,5,7}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{1,4}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{2,3}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{3,4}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{3,5}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{3,6}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{4,5}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{6,7}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{3,6,7}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{5,6,7}}
{{},{},{1},{2},{1,2},{1,4},{1,4},{3,5,6,7}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{3,4}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{3,5}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{3,6}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{6,7}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{2,3},{5,6,7}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{7}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{3,4}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{3,5}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{3,6}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{4,5}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{5,7}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{6,7}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{3,4},{5,6,7}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{7}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{3,5}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{3,6}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{4,5}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{4,7}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{6,7}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{3,5},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{3,6},{7}}
{{},{},{1},{2},{1,2},{1,4},{3,6},{3,6}}
{{},{},{1},{2},{1,2},{1,4},{3,6},{4,5}}
{{},{},{1},{2},{1,2},{1,4},{3,6},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{3,6},{5,7}}
{{},{},{1},{2},{1,2},{1,4},{3,6},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{3,6},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{7}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{3,7}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{4,5}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{6,7}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{4,5},{3,6,7}}
{{},{},{1},{2},{1,2},{1,4},{5,6},{7}}
{{},{},{1},{2},{1,2},{1,4},{5,6},{3,7}}
{{},{},{1},{2},{1,2},{1,4},{5,6},{5,6}}
{{},{},{1},{2},{1,2},{1,4},{5,6},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{5,6},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{3,4,5},{7}}
{{},{},{1},{2},{1,2},{1,4},{3,4,5},{6,7}}
{{},{},{1},{2},{1,2},{1,4},{3,4,5},{3,4,5}}
{{},{},{1},{2},{1,2},{1,4},{3,4,5},{3,5,6}}
{{},{},{1},{2},{1,2},{1,4},{3,5,6},{7}}
{{},{},{1},{2},{1,2},{1,4},{3,5,6},{3,5,6}}
{{},{},{1},{2},{1,2},{3,4},{6},{6}}
{{},{},{1},{2},{1,2},{3,4},{6},{7}}
{{},{},{1},{2},{1,2},{3,4},{6},{3,4}}
{{},{},{1},{2},{1,2},{3,4},{6},{3,5}}
{{},{},{1},{2},{1,2},{3,4},{6},{5,6}}
{{},{},{1},{2},{1,2},{3,4},{6},{5,7}}
{{},{},{1},{2},{1,2},{3,4},{6},{3,4,5}}
{{},{},{1},{2},{1,2},{3,4},{3,4},{3,4}}
{{},{},{1},{2},{1,2},{3,4},{3,4},{3,5}}
{{},{},{1},{2},{1,2},{3,4},{3,4},{5,6}}
{{},{},{1},{2},{1,2},{3,4},{3,4},{6,7}}
{{},{},{1},{2},{1,2},{3,4},{3,4},{3,4,5}}
{{},{},{1},{2},{1,2},{3,4},{3,4},{5,6,7}}
{{},{},{1},{2},{1,2},{3,4},{3,5},{7}}
{{},{},{1},{2},{1,2},{3,4},{3,5},{3,5}}
{{},{},{1},{2},{1,2},{3,4},{3,5},{4,5}}
{{},{},{1},{2},{1,2},{3,4},{3,5},{4,7}}
{{},{},{1},{2},{1,2},{3,4},{3,5},{5,6}}
{{},{},{1},{2},{1,2},{3,4},{3,5},{6,7}}
{{},{},{1},{2},{1,2},{3,4},{3,5},{3,4,5}}
{{},{},{1},{2},{1,2},{3,4},{5,6},{7}}
{{},{},{1},{2},{1,2},{3,4},{5,6},{5,6}}
{{},{},{1},{2},{1,2},{3,4},{5,6},{3,4,5}}
{{},{},{1},{2},{1,2},{3,4},{3,4,5},{7}}
{{},{},{1},{2},{1,2},{3,4},{3,4,5},{6,7}}
{{},{},{1},{2},{1,2},{3,4},{3,4,5},{3,4,5}}
{{},{},{1},{2},{1,2},{3,5},{6},{6}}
{{},{},{1},{2},{1,2},{3,5},{6},{7}}
{{},{},{1},{2},{1,2},{3,5},{6},{3,5}}
{{},{},{1},{2},{1,2},{3,5},{6},{4,5}}
{{},{},{1},{2},{1,2},{3,5},{6},{4,6}}
{{},{},{1},{2},{1,2},{3,5},{6},{4,7}}
{{},{},{1},{2},{1,2},{3,5},{6},{3,4,5}}
{{},{},{1},{2},{1,2},{3,5},{3,5},{3,5}}
{{},{},{1},{2},{1,2},{3,5},{3,5},{4,5}}
{{},{},{1},{2},{1,2},{3,5},{3,5},{4,6}}
{{},{},{1},{2},{1,2},{3,5},{3,5},{6,7}}
{{},{},{1},{2},{1,2},{3,5},{3,5},{3,4,5}}
{{},{},{1},{2},{1,2},{3,5},{3,5},{4,6,7}}
{{},{},{1},{2},{1,2},{3,5},{4,5},{3,7}}
{{},{},{1},{2},{1,2},{3,5},{4,5},{6,7}}
{{},{},{1},{2},{1,2},{3,5},{4,5},{3,4,5}}
{{},{},{1},{2},{1,2},{3,5},{4,6},{7}}
{{},{},{1},{2},{1,2},{3,5},{4,6},{4,6}}
{{},{},{1},{2},{1,2},{3,5},{4,6},{3,4,5}}
{{},{},{1},{2},{1,2},{3,5},{3,4,5},{7}}
{{},{},{1},{2},{1,2},{3,5},{3,4,5},{6,7}}
{{},{},{1},{2},{1,2},{3,5},{3,4,5},{3,4,5}}
{{},{},{1},{2},{1,2},{3,4,5},{6},{6}}
{{},{},{1},{2},{1,2},{3,4,5},{6},{7}}
{{},{},{1},{2},{1,2},{3,4,5},{6},{3,4,5}}
{{},{},{1},{2},{1,2},{3,4,5},{3,4,5},{6,7}}
{{},{},{1},{2},{1,2},{3,4,5},{3,4,5},{3,4,5}}
{{},{},{1},{2},{1,4},{5},{5},{5}}
{{},{},{1},{2},{1,4},{5},{5},{6}}
{{},{},{1},{2},{1,4},{5},{5},{1,4}}
{{},{},{1},{2},{1,4},{5},{5},{2,3}}
{{},{},{1},{2},{1,4},{5},{5},{3,4}}
{{},{},{1},{2},{1,4},{5},{5},{3,5}}
{{},{},{1},{2},{1,4},{5},{5},{3,6}}
{{},{},{1},{2},{1,4},{5},{5},{6,7}}
{{},{},{1},{2},{1,4},{5},{5},{3,6,7}}
{{},{},{1},{2},{1,4},{5},{6},{6}}
{{},{},{1},{2},{1,4},{5},{6},{7}}
{{},{},{1},{2},{1,4},{5},{6},{1,4}}
{{},{},{1},{2},{1,4},{5},{6},{2,3}}
{{},{},{1},{2},{1,4},{5},{6},{3,4}}
{{},{},{1},{2},{1,4},{5},{6},{3,5}}
{{},{},{1},{2},{1,4},{5},{6},{3,6}}
{{},{},{1},{2},{1,4},{5},{6},{3,7}}
{{},{},{1},{2},{1,4},{5},{1,4},{7}}
{{},{},{1},{2},{1,4},{5},{1,4},{1,4}}
{{},{},{1},{2},{1,4},{5},{1,4},{2,3}}
{{},{},{1},{2},{1,4},{5},{1,4},{3,4}}
{{},{},{1},{2},{1,4},{5},{1,4},{3,5}}
{{},{},{1},{2},{1,4},{5},{1,4},{3,6}}
{{},{},{1},{2},{1,4},{5},{1,4},{3,7}}
{{},{},{1},{2},{1,4},{5},{1,4},{5,7}}
{{},{},{1},{2},{1,4},{5},{1,4},{6,7}}
{{},{},{1},{2},{1,4},{5},{1,4},{3,5,7}}
{{},{},{1},{2},{1,4},{5},{1,4},{3,6,7}}
{{},{},{1},{2},{1,4},{5},{2,3},{7}}
{{},{},{1},{2},{1,4},{5},{2,3},{2,3}}
{{},{},{1},{2},{1,4},{5},{2,3},{3,4}}
{{},{},{1},{2},{1,4},{5},{2,3},{3,5}}
{{},{},{1},{2},{1,4},{5},{2,3},{3,6}}
{{},{},{1},{2},{1,4},{5},{2,3},{4,7}}
{{},{},{1},{2},{1,4},{5},{2,3},{5,7}}
{{},{},{1},{2},{1,4},{5},{2,3},{6,7}}
{{},{},{1},{2},{1,4},{5},{3,4},{7}}
{{},{},{1},{2},{1,4},{5},{3,4},{3,4}}
{{},{},{1},{2},{1,4},{5},{3,4},{3,5}}
{{},{},{1},{2},{1,4},{5},{3,4},{3,6}}
{{},{},{1},{2},{1,4},{5},{3,4},{5,7}}
{{},{},{1},{2},{1,4},{5},{3,4},{6,7}}
{{},{},{1},{2},{1,4},{5},{3,5},{7}}
{{},{},{1},{2},{1,4},{5},{3,5},{3,5}}
{{},{},{1},{2},{1,4},{5},{3,5},{3,6}}
{{},{},{1},{2},{1,4},{5},{3,5},{6,7}}
{{},{},{1},{2},{1,4},{5},{3,6},{7}}
{{},{},{1},{2},{1,4},{5},{3,6},{3,6}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{1,4}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{2,3}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{3,4}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{3,5}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{5,6}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{3,5,6}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{5,6,7}}
{{},{},{1},{2},{1,4},{1,4},{1,4},{3,5,6,7}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{2,3}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{3,4}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{3,5}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{4,7}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{5,6}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{5,7}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{3,5,6}}
{{},{},{1},{2},{1,4},{1,4},{2,3},{5,6,7}}
{{},{},{1},{2},{1,4},{1,4},{3,4},{7}}
{{},{},{1},{2},{1,4},{1,4},{3,4},{3,4}}
{{},{},{1},{2},{1,4},{1,4},{3,4},{3,5}}
{{},{},{1},{2},{1,4},{1,4},{3,4},{5,6}}
{{},{},{1},{2},{1,4},{1,4},{3,4},{5,7}}
{{},{},{1},{2},{1,4},{1,4},{3,4},{3,5,6}}
{{},{},{1},{2},{1,4},{1,4},{3,4},{5,6,7}}
{{},{},{1},{2},{1,4},{1,4},{3,5},{7}}
{{},{},{1},{2},{1,4},{1,4},{3,5},{3,5}}
{{},{},{1},{2},{1,4},{1,4},{3,5},{3,6}}
{{},{},{1},{2},{1,4},{1,4},{3,5},{5,6}}
{{},{},{1},{2},{1,4},{1,4},{3,5},{6,7}}
{{},{},{1},{2},{1,4},{1,4},{3,5},{3,5,6}}
{{},{},{1},{2},{1,4},{1,4},{5,6},{7}}
{{},{},{1},{2},{1,4},{1,4},{5,6},{3,7}}
{{},{},{1},{2},{1,4},{1,4},{5,6},{5,6}}
{{},{},{1},{2},{1,4},{1,4},{5,6},{3,5,6}}
{{},{},{1},{2},{1,4},{1,4},{3,5,6},{7}}
{{},{},{1},{2},{1,4},{1,4},{3,5,6},{3,5,6}}
{{},{},{1},{2},{1,4},{2,3},{3,4},{7}}
{{},{},{1},{2},{1,4},{2,3},{3,4},{3,4}}
{{},{},{1},{2},{1,4},{2,3},{3,4},{3,5}}
{{},{},{1},{2},{1,4},{2,3},{3,4},{5,6}}
{{},{},{1},{2},{1,4},{2,3},{3,4},{5,7}}
{{},{},{1},{2},{1,4},{2,3},{3,4},{5,6,7}}
{{},{},{1},{2},{1,4},{2,3},{3,5},{7}}
{{},{},{1},{2},{1,4},{2,3},{3,5},{3,5}}
{{},{},{1},{2},{1,4},{2,3},{3,5},{4,6}}
{{},{},{1},{2},{1,4},{2,3},{3,5},{5,6}}
{{},{},{1},{2},{1,4},{2,3},{3,5},{6,7}}
{{},{},{1},{2},{1,4},{2,3},{5,6},{7}}
{{},{},{1},{2},{1,4},{2,3},{5,6},{5,6}}
{{},{},{1},{2},{1,4},{3,4},{6},{6}}
{{},{},{1},{2},{1,4},{3,4},{6},{7}}
{{},{},{1},{2},{1,4},{3,4},{6},{3,4}}
{{},{},{1},{2},{1,4},{3,4},{6},{3,5}}
{{},{},{1},{2},{1,4},{3,4},{6},{5,6}}
{{},{},{1},{2},{1,4},{3,4},{6},{5,7}}
{{},{},{1},{2},{1,4},{3,4},{3,4},{3,4}}
{{},{},{1},{2},{1,4},{3,4},{3,4},{3,5}}
{{},{},{1},{2},{1,4},{3,4},{3,4},{5,6}}
{{},{},{1},{2},{1,4},{3,4},{3,4},{6,7}}
{{},{},{1},{2},{1,4},{3,4},{3,4},{5,6,7}}
{{},{},{1},{2},{1,4},{3,4},{3,5},{7}}
{{},{},{1},{2},{1,4},{3,4},{3,5},{3,5}}
{{},{},{1},{2},{1,4},{3,4},{3,5},{5,6}}
{{},{},{1},{2},{1,4},{3,4},{3,5},{6,7}}
{{},{},{1},{2},{1,4},{3,4},{5,6},{7}}
{{},{},{1},{2},{1,4},{3,4},{5,6},{5,6}}
{{},{},{1},{2},{1,4},{3,5},{6},{6}}
{{},{},{1},{2},{1,4},{3,5},{6},{7}}
{{},{},{1},{2},{1,4},{3,5},{6},{3,5}}
{{},{},{1},{2},{1,4},{3,5},{3,5},{3,5}}
{{},{},{1},{2},{1,4},{3,5},{3,5},{6,7}}
{{},{},{1},{2},{3,4},{5},{5},{5}}
{{},{},{1},{2},{3,4},{5},{5},{6}}
{{},{},{1},{2},{3,4},{5},{5},{3,4}}
{{},{},{1},{2},{3,4},{5},{5},{6,7}}
{{},{},{1},{2},{3,4},{5},{6},{6}}
{{},{},{1},{2},{3,4},{5},{6},{7}}
{{},{},{1},{2},{3,4},{5},{6},{3,4}}
{{},{},{1},{2},{3,4},{5},{3,4},{7}}
{{},{},{1},{2},{3,4},{5},{3,4},{3,4}}
{{},{},{1},{2},{3,4},{5},{3,4},{5,7}}
{{},{},{1},{2},{3,4},{5},{3,4},{6,7}}
{{},{},{1},{2},{3,4},{3,4},{3,4},{3,4}}
{{},{},{1},{2},{3,4},{3,4},{3,4},{5,6}}
{{},{},{1},{2},{3,4},{3,4},{3,4},{5,6,7}}
{{},{},{1},{2},{3,4},{3,4},{5,6},{7}}
{{},{},{1},{2},{3,4},{3,4},{5,6},{5,6}}
{{},{},{1},{3},{3},{3},{3},{3}}
{{},{},{1},{3},{3},{3},{3},{4}}
{{},{},{1},{3},{3},{3},{3},{1,2}}
{{},{},{1},{3},{3},{3},{3},{2,3}}
{{},{},{1},{3},{3},{3},{3},{2,4}}
{{},{},{1},{3},{3},{3},{3},{4,5}}
{{},{},{1},{3},{3},{3},{3},{2,4,5}}
{{},{},{1},{3},{3},{3},{3},{4,5,6}}
{{},{},{1},{3},{3},{3},{3},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{3},{4,5,6,7}}
{{},{},{1},{3},{3},{3},{3},{2,4,5,6,7}}
{{},{},{1},{3},{3},{3},{4},{4}}
{{},{},{1},{3},{3},{3},{4},{5}}
{{},{},{1},{3},{3},{3},{4},{7}}
{{},{},{1},{3},{3},{3},{4},{1,2}}
{{},{},{1},{3},{3},{3},{4},{2,3}}
{{},{},{1},{3},{3},{3},{4},{2,4}}
{{},{},{1},{3},{3},{3},{4},{2,5}}
{{},{},{1},{3},{3},{3},{4},{2,7}}
{{},{},{1},{3},{3},{3},{4},{4,5}}
{{},{},{1},{3},{3},{3},{4},{5,6}}
{{},{},{1},{3},{3},{3},{4},{5,7}}
{{},{},{1},{3},{3},{3},{4},{2,4,5}}
{{},{},{1},{3},{3},{3},{4},{2,5,6}}
{{},{},{1},{3},{3},{3},{4},{2,5,7}}
{{},{},{1},{3},{3},{3},{4},{4,5,6}}
{{},{},{1},{3},{3},{3},{4},{5,6,7}}
{{},{},{1},{3},{3},{3},{4},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{4},{2,5,6,7}}
{{},{},{1},{3},{3},{3},{1,2},{7}}
{{},{},{1},{3},{3},{3},{1,2},{1,2}}
{{},{},{1},{3},{3},{3},{1,2},{2,3}}
{{},{},{1},{3},{3},{3},{1,2},{2,4}}
{{},{},{1},{3},{3},{3},{1,2},{3,7}}
{{},{},{1},{3},{3},{3},{1,2},{4,5}}
{{},{},{1},{3},{3},{3},{1,2},{4,7}}
{{},{},{1},{3},{3},{3},{1,2},{2,4,5}}
{{},{},{1},{3},{3},{3},{1,2},{4,5,6}}
{{},{},{1},{3},{3},{3},{1,2},{4,5,7}}
{{},{},{1},{3},{3},{3},{1,2},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{1,2},{4,5,6,7}}
{{},{},{1},{3},{3},{3},{2,3},{7}}
{{},{},{1},{3},{3},{3},{2,3},{2,3}}
{{},{},{1},{3},{3},{3},{2,3},{2,4}}
{{},{},{1},{3},{3},{3},{2,3},{4,5}}
{{},{},{1},{3},{3},{3},{2,3},{4,7}}
{{},{},{1},{3},{3},{3},{2,3},{2,4,5}}
{{},{},{1},{3},{3},{3},{2,3},{4,5,6}}
{{},{},{1},{3},{3},{3},{2,3},{4,5,7}}
{{},{},{1},{3},{3},{3},{2,3},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{2,3},{4,5,6,7}}
{{},{},{1},{3},{3},{3},{2,4},{7}}
{{},{},{1},{3},{3},{3},{2,4},{2,4}}
{{},{},{1},{3},{3},{3},{2,4},{2,5}}
{{},{},{1},{3},{3},{3},{2,4},{4,5}}
{{},{},{1},{3},{3},{3},{2,4},{5,6}}
{{},{},{1},{3},{3},{3},{2,4},{5,7}}
{{},{},{1},{3},{3},{3},{2,4},{2,4,5}}
{{},{},{1},{3},{3},{3},{2,4},{2,5,6}}
{{},{},{1},{3},{3},{3},{2,4},{4,5,6}}
{{},{},{1},{3},{3},{3},{2,4},{5,6,7}}
{{},{},{1},{3},{3},{3},{2,4},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{4,5},{7}}
{{},{},{1},{3},{3},{3},{4,5},{2,7}}
{{},{},{1},{3},{3},{3},{4,5},{4,5}}
{{},{},{1},{3},{3},{3},{4,5},{4,6}}
{{},{},{1},{3},{3},{3},{4,5},{6,7}}
{{},{},{1},{3},{3},{3},{4,5},{2,4,5}}
{{},{},{1},{3},{3},{3},{4,5},{2,4,6}}
{{},{},{1},{3},{3},{3},{4,5},{2,6,7}}
{{},{},{1},{3},{3},{3},{4,5},{4,5,6}}
{{},{},{1},{3},{3},{3},{4,5},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{2,4,5},{7}}
{{},{},{1},{3},{3},{3},{2,4,5},{6,7}}
{{},{},{1},{3},{3},{3},{2,4,5},{2,4,5}}
{{},{},{1},{3},{3},{3},{2,4,5},{2,4,6}}
{{},{},{1},{3},{3},{3},{2,4,5},{4,5,6}}
{{},{},{1},{3},{3},{3},{2,4,5},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{4,5,6},{7}}
{{},{},{1},{3},{3},{3},{4,5,6},{2,7}}
{{},{},{1},{3},{3},{3},{4,5,6},{4,5,6}}
{{},{},{1},{3},{3},{3},{4,5,6},{2,4,5,6}}
{{},{},{1},{3},{3},{3},{2,4,5,6},{7}}
{{},{},{1},{3},{3},{3},{2,4,5,6},{2,4,5,6}}
{{},{},{1},{3},{3},{4},{4},{4}}
{{},{},{1},{3},{3},{4},{4},{5}}
{{},{},{1},{3},{3},{4},{4},{6}}
{{},{},{1},{3},{3},{4},{4},{1,2}}
{{},{},{1},{3},{3},{4},{4},{2,3}}
{{},{},{1},{3},{3},{4},{4},{2,4}}
{{},{},{1},{3},{3},{4},{4},{2,5}}
{{},{},{1},{3},{3},{4},{4},{2,6}}
{{},{},{1},{3},{3},{4},{4},{4,5}}
{{},{},{1},{3},{3},{4},{4},{5,6}}
{{},{},{1},{3},{3},{4},{4},{6,7}}
{{},{},{1},{3},{3},{4},{4},{2,4,5}}
{{},{},{1},{3},{3},{4},{4},{2,5,6}}
{{},{},{1},{3},{3},{4},{4},{2,6,7}}
{{},{},{1},{3},{3},{4},{4},{5,6,7}}
{{},{},{1},{3},{3},{4},{4},{2,5,6,7}}
{{},{},{1},{3},{3},{4},{5},{6}}
{{},{},{1},{3},{3},{4},{5},{1,2}}
{{},{},{1},{3},{3},{4},{5},{2,3}}
{{},{},{1},{3},{3},{4},{5},{2,4}}
{{},{},{1},{3},{3},{4},{5},{2,6}}
{{},{},{1},{3},{3},{4},{5},{4,5}}
{{},{},{1},{3},{3},{4},{5},{4,7}}
{{},{},{1},{3},{3},{4},{5},{6,7}}
{{},{},{1},{3},{3},{4},{5},{2,4,5}}
{{},{},{1},{3},{3},{4},{5},{2,4,7}}
{{},{},{1},{3},{3},{4},{5},{2,6,7}}
{{},{},{1},{3},{3},{4},{6},{6}}
{{},{},{1},{3},{3},{4},{6},{7}}
{{},{},{1},{3},{3},{4},{6},{1,2}}
{{},{},{1},{3},{3},{4},{6},{2,3}}
{{},{},{1},{3},{3},{4},{6},{2,4}}
{{},{},{1},{3},{3},{4},{6},{2,5}}
{{},{},{1},{3},{3},{4},{6},{2,6}}
{{},{},{1},{3},{3},{4},{6},{2,7}}
{{},{},{1},{3},{3},{4},{6},{4,5}}
{{},{},{1},{3},{3},{4},{6},{5,6}}
{{},{},{1},{3},{3},{4},{6},{5,7}}
{{},{},{1},{3},{3},{4},{6},{2,4,5}}
{{},{},{1},{3},{3},{4},{6},{2,5,6}}
{{},{},{1},{3},{3},{4},{6},{2,5,7}}
{{},{},{1},{3},{3},{4},{1,2},{7}}
{{},{},{1},{3},{3},{4},{1,2},{1,2}}
{{},{},{1},{3},{3},{4},{1,2},{2,3}}
{{},{},{1},{3},{3},{4},{1,2},{2,4}}
{{},{},{1},{3},{3},{4},{1,2},{2,5}}
{{},{},{1},{3},{3},{4},{1,2},{2,6}}
{{},{},{1},{3},{3},{4},{1,2},{3,7}}
{{},{},{1},{3},{3},{4},{1,2},{4,5}}
{{},{},{1},{3},{3},{4},{1,2},{4,7}}
{{},{},{1},{3},{3},{4},{1,2},{5,6}}
{{},{},{1},{3},{3},{4},{1,2},{5,7}}
{{},{},{1},{3},{3},{4},{1,2},{6,7}}
{{},{},{1},{3},{3},{4},{1,2},{2,4,5}}
{{},{},{1},{3},{3},{4},{1,2},{2,5,6}}
{{},{},{1},{3},{3},{4},{1,2},{4,5,7}}
{{},{},{1},{3},{3},{4},{1,2},{5,6,7}}
{{},{},{1},{3},{3},{4},{2,3},{7}}
{{},{},{1},{3},{3},{4},{2,3},{2,3}}
{{},{},{1},{3},{3},{4},{2,3},{2,4}}
{{},{},{1},{3},{3},{4},{2,3},{2,5}}
{{},{},{1},{3},{3},{4},{2,3},{2,6}}
{{},{},{1},{3},{3},{4},{2,3},{4,5}}
{{},{},{1},{3},{3},{4},{2,3},{4,7}}
{{},{},{1},{3},{3},{4},{2,3},{5,6}}
{{},{},{1},{3},{3},{4},{2,3},{5,7}}
{{},{},{1},{3},{3},{4},{2,3},{6,7}}
{{},{},{1},{3},{3},{4},{2,3},{2,4,5}}
{{},{},{1},{3},{3},{4},{2,3},{2,5,6}}
{{},{},{1},{3},{3},{4},{2,3},{4,5,7}}
{{},{},{1},{3},{3},{4},{2,3},{5,6,7}}
{{},{},{1},{3},{3},{4},{2,4},{7}}
{{},{},{1},{3},{3},{4},{2,4},{2,4}}
{{},{},{1},{3},{3},{4},{2,4},{2,5}}
{{},{},{1},{3},{3},{4},{2,4},{2,6}}
{{},{},{1},{3},{3},{4},{2,4},{4,5}}
{{},{},{1},{3},{3},{4},{2,4},{5,6}}
{{},{},{1},{3},{3},{4},{2,4},{5,7}}
{{},{},{1},{3},{3},{4},{2,4},{6,7}}
{{},{},{1},{3},{3},{4},{2,4},{2,4,5}}
{{},{},{1},{3},{3},{4},{2,4},{2,5,6}}
{{},{},{1},{3},{3},{4},{2,4},{5,6,7}}
{{},{},{1},{3},{3},{4},{2,5},{7}}
{{},{},{1},{3},{3},{4},{2,5},{2,5}}
{{},{},{1},{3},{3},{4},{2,5},{2,6}}
{{},{},{1},{3},{3},{4},{2,5},{4,5}}
{{},{},{1},{3},{3},{4},{2,5},{4,7}}
{{},{},{1},{3},{3},{4},{2,5},{5,6}}
{{},{},{1},{3},{3},{4},{2,5},{6,7}}
{{},{},{1},{3},{3},{4},{2,5},{2,4,5}}
{{},{},{1},{3},{3},{4},{2,5},{2,5,6}}
{{},{},{1},{3},{3},{4},{2,6},{7}}
{{},{},{1},{3},{3},{4},{2,6},{2,6}}
{{},{},{1},{3},{3},{4},{2,6},{4,5}}
{{},{},{1},{3},{3},{4},{2,6},{5,6}}
{{},{},{1},{3},{3},{4},{2,6},{5,7}}
{{},{},{1},{3},{3},{4},{2,6},{2,4,5}}
{{},{},{1},{3},{3},{4},{2,6},{2,5,6}}
{{},{},{1},{3},{3},{4},{4,5},{7}}
{{},{},{1},{3},{3},{4},{4,5},{2,7}}
{{},{},{1},{3},{3},{4},{4,5},{4,5}}
{{},{},{1},{3},{3},{4},{4,5},{5,6}}
{{},{},{1},{3},{3},{4},{4,5},{6,7}}
{{},{},{1},{3},{3},{4},{4,5},{2,4,5}}
{{},{},{1},{3},{3},{4},{4,5},{2,5,6}}
{{},{},{1},{3},{3},{4},{4,5},{2,6,7}}
{{},{},{1},{3},{3},{4},{5,6},{7}}
{{},{},{1},{3},{3},{4},{5,6},{2,7}}
{{},{},{1},{3},{3},{4},{5,6},{5,6}}
{{},{},{1},{3},{3},{4},{5,6},{2,4,5}}
{{},{},{1},{3},{3},{4},{5,6},{2,5,6}}
{{},{},{1},{3},{3},{4},{2,4,5},{7}}
{{},{},{1},{3},{3},{4},{2,4,5},{6,7}}
{{},{},{1},{3},{3},{4},{2,4,5},{2,4,5}}
{{},{},{1},{3},{3},{4},{2,4,5},{2,5,6}}
{{},{},{1},{3},{3},{4},{2,5,6},{7}}
{{},{},{1},{3},{3},{4},{2,5,6},{2,5,6}}
{{},{},{1},{3},{3},{1,2},{6},{6}}
{{},{},{1},{3},{3},{1,2},{6},{7}}
{{},{},{1},{3},{3},{1,2},{6},{1,2}}
{{},{},{1},{3},{3},{1,2},{6},{2,3}}
{{},{},{1},{3},{3},{1,2},{6},{2,4}}
{{},{},{1},{3},{3},{1,2},{6},{3,6}}
{{},{},{1},{3},{3},{1,2},{6},{3,7}}
{{},{},{1},{3},{3},{1,2},{6},{4,5}}
{{},{},{1},{3},{3},{1,2},{6},{4,6}}
{{},{},{1},{3},{3},{1,2},{6},{4,7}}
{{},{},{1},{3},{3},{1,2},{6},{2,4,5}}
{{},{},{1},{3},{3},{1,2},{6},{4,5,6}}
{{},{},{1},{3},{3},{1,2},{6},{4,5,7}}
{{},{},{1},{3},{3},{1,2},{1,2},{1,2}}
{{},{},{1},{3},{3},{1,2},{1,2},{2,3}}
{{},{},{1},{3},{3},{1,2},{1,2},{2,4}}
{{},{},{1},{3},{3},{1,2},{1,2},{3,6}}
{{},{},{1},{3},{3},{1,2},{1,2},{4,5}}
{{},{},{1},{3},{3},{1,2},{1,2},{4,6}}
{{},{},{1},{3},{3},{1,2},{1,2},{6,7}