=>

{{1}}=>{{1}}=>{{1}}=>[1] {{1,2}}=>{{1,2}}=>{{1},{2}}=>[1,1] {{1},{2}}=>{{1},{2}}=>{{1,2}}=>[2] {{1,2,3}}=>{{1,2,3}}=>{{1},{2},{3}}=>[1,1,1] {{1,2},{3}}=>{{1},{2,3}}=>{{1,3},{2}}=>[2,1] {{1,3},{2}}=>{{1,3},{2}}=>{{1},{2,3}}=>[2,1] {{1},{2,3}}=>{{1,2},{3}}=>{{1,2},{3}}=>[2,1] {{1},{2},{3}}=>{{1},{2},{3}}=>{{1,2,3}}=>[3] {{1,2,3,4}}=>{{1,2,3,4}}=>{{1},{2},{3},{4}}=>[1,1,1,1] {{1,2,3},{4}}=>{{1},{2,3,4}}=>{{1,4},{2},{3}}=>[2,1,1] {{1,2,4},{3}}=>{{1,3,4},{2}}=>{{1},{2},{3,4}}=>[2,1,1] {{1,2},{3,4}}=>{{1,2},{3,4}}=>{{1,3},{2},{4}}=>[2,1,1] {{1,2},{3},{4}}=>{{1},{2},{3,4}}=>{{1,3,4},{2}}=>[3,1] {{1,3,4},{2}}=>{{1,2,4},{3}}=>{{1},{2,3},{4}}=>[2,1,1] {{1,3},{2,4}}=>{{1,3},{2,4}}=>{{1,3},{2,4}}=>[2,2] {{1,3},{2},{4}}=>{{1},{2,4},{3}}=>{{1,4},{2,3}}=>[2,2] {{1,4},{2,3}}=>{{1,4},{2,3}}=>{{1},{2,4},{3}}=>[2,1,1] {{1},{2,3,4}}=>{{1,2,3},{4}}=>{{1,2},{3},{4}}=>[2,1,1] {{1},{2,3},{4}}=>{{1},{2,3},{4}}=>{{1,2,4},{3}}=>[3,1] {{1,4},{2},{3}}=>{{1,4},{2},{3}}=>{{1},{2,3,4}}=>[3,1] {{1},{2,4},{3}}=>{{1,3},{2},{4}}=>{{1,2},{3,4}}=>[2,2] {{1},{2},{3,4}}=>{{1,2},{3},{4}}=>{{1,2,3},{4}}=>[3,1] {{1},{2},{3},{4}}=>{{1},{2},{3},{4}}=>{{1,2,3,4}}=>[4] {{1,2,3,4,5}}=>{{1,2,3,4,5}}=>{{1},{2},{3},{4},{5}}=>[1,1,1,1,1] {{1,2,3,4},{5}}=>{{1},{2,3,4,5}}=>{{1,5},{2},{3},{4}}=>[2,1,1,1] {{1,2,3,5},{4}}=>{{1,3,4,5},{2}}=>{{1},{2},{3},{4,5}}=>[2,1,1,1] {{1,2,3},{4,5}}=>{{1,2},{3,4,5}}=>{{1,4},{2},{3},{5}}=>[2,1,1,1] {{1,2,3},{4},{5}}=>{{1},{2},{3,4,5}}=>{{1,4,5},{2},{3}}=>[3,1,1] {{1,2,4,5},{3}}=>{{1,2,4,5},{3}}=>{{1},{2},{3,4},{5}}=>[2,1,1,1] {{1,2,4},{3,5}}=>{{1,3},{2,4,5}}=>{{1,4},{2},{3,5}}=>[2,2,1] {{1,2,4},{3},{5}}=>{{1},{2,4,5},{3}}=>{{1,5},{2},{3,4}}=>[2,2,1] {{1,2,5},{3,4}}=>{{1,4,5},{2,3}}=>{{1},{2},{3,5},{4}}=>[2,1,1,1] {{1,2},{3,4,5}}=>{{1,2,3},{4,5}}=>{{1,3},{2},{4},{5}}=>[2,1,1,1] {{1,2},{3,4},{5}}=>{{1},{2,3},{4,5}}=>{{1,3,5},{2},{4}}=>[3,1,1] {{1,2,5},{3},{4}}=>{{1,4,5},{2},{3}}=>{{1},{2},{3,4,5}}=>[3,1,1] {{1,2},{3,5},{4}}=>{{1,3},{2},{4,5}}=>{{1,3},{2},{4,5}}=>[2,2,1] {{1,2},{3},{4,5}}=>{{1,2},{3},{4,5}}=>{{1,3,4},{2},{5}}=>[3,1,1] {{1,2},{3},{4},{5}}=>{{1},{2},{3},{4,5}}=>{{1,3,4,5},{2}}=>[4,1] {{1,3,4,5},{2}}=>{{1,2,3,5},{4}}=>{{1},{2,3},{4},{5}}=>[2,1,1,1] {{1,3,4},{2,5}}=>{{1,4},{2,3,5}}=>{{1,3},{2,5},{4}}=>[2,2,1] {{1,3,4},{2},{5}}=>{{1},{2,3,5},{4}}=>{{1,5},{2,3},{4}}=>[2,2,1] {{1,3,5},{2,4}}=>{{1,3,5},{2,4}}=>{{1},{2,4},{3,5}}=>[2,2,1] {{1,3},{2,4,5}}=>{{1,2,4},{3,5}}=>{{1,3},{2,4},{5}}=>[2,2,1] {{1,3},{2,4},{5}}=>{{1},{2,4},{3,5}}=>{{1,3,5},{2,4}}=>[3,2] {{1,3,5},{2},{4}}=>{{1,3,5},{2},{4}}=>{{1},{2,3},{4,5}}=>[2,2,1] {{1,3},{2,5},{4}}=>{{1,4},{2},{3,5}}=>{{1,3},{2,4,5}}=>[3,2] {{1,3},{2},{4,5}}=>{{1,2},{3,5},{4}}=>{{1,4},{2,3},{5}}=>[2,2,1] {{1,3},{2},{4},{5}}=>{{1},{2},{3,5},{4}}=>{{1,4,5},{2,3}}=>[3,2] {{1,4,5},{2,3}}=>{{1,2,5},{3,4}}=>{{1},{2,4},{3},{5}}=>[2,1,1,1] {{1,4},{2,3,5}}=>{{1,3,4},{2,5}}=>{{1,4},{2,5},{3}}=>[2,2,1] {{1,4},{2,3},{5}}=>{{1},{2,5},{3,4}}=>{{1,5},{2,4},{3}}=>[2,2,1] {{1,5},{2,3,4}}=>{{1,5},{2,3,4}}=>{{1},{2,5},{3},{4}}=>[2,1,1,1] {{1},{2,3,4,5}}=>{{1,2,3,4},{5}}=>{{1,2},{3},{4},{5}}=>[2,1,1,1] {{1},{2,3,4},{5}}=>{{1},{2,3,4},{5}}=>{{1,2,5},{3},{4}}=>[3,1,1] {{1,5},{2,3},{4}}=>{{1,5},{2},{3,4}}=>{{1},{2,4,5},{3}}=>[3,1,1] {{1},{2,3,5},{4}}=>{{1,3,4},{2},{5}}=>{{1,2},{3},{4,5}}=>[2,2,1] {{1},{2,3},{4,5}}=>{{1,2},{3,4},{5}}=>{{1,2,4},{3},{5}}=>[3,1,1] {{1},{2,3},{4},{5}}=>{{1},{2},{3,4},{5}}=>{{1,2,4,5},{3}}=>[4,1] {{1,4,5},{2},{3}}=>{{1,2,5},{3},{4}}=>{{1},{2,3,4},{5}}=>[3,1,1] {{1,4},{2,5},{3}}=>{{1,4},{2,5},{3}}=>{{1,3,4},{2,5}}=>[3,2] {{1,4},{2},{3,5}}=>{{1,3},{2,5},{4}}=>{{1,4},{2,3,5}}=>[3,2] {{1,4},{2},{3},{5}}=>{{1},{2,5},{3},{4}}=>{{1,5},{2,3,4}}=>[3,2] {{1,5},{2,4},{3}}=>{{1,5},{2,4},{3}}=>{{1},{2,5},{3,4}}=>[2,2,1] {{1},{2,4,5},{3}}=>{{1,2,4},{3},{5}}=>{{1,2},{3,4},{5}}=>[2,2,1] {{1},{2,4},{3,5}}=>{{1,3},{2,4},{5}}=>{{1,2,4},{3,5}}=>[3,2] {{1},{2,4},{3},{5}}=>{{1},{2,4},{3},{5}}=>{{1,2,5},{3,4}}=>[3,2] {{1,5},{2},{3,4}}=>{{1,5},{2,3},{4}}=>{{1},{2,3,5},{4}}=>[3,1,1] {{1},{2,5},{3,4}}=>{{1,4},{2,3},{5}}=>{{1,2},{3,5},{4}}=>[2,2,1] {{1},{2},{3,4,5}}=>{{1,2,3},{4},{5}}=>{{1,2,3},{4},{5}}=>[3,1,1] {{1},{2},{3,4},{5}}=>{{1},{2,3},{4},{5}}=>{{1,2,3,5},{4}}=>[4,1] {{1,5},{2},{3},{4}}=>{{1,5},{2},{3},{4}}=>{{1},{2,3,4,5}}=>[4,1] {{1},{2,5},{3},{4}}=>{{1,4},{2},{3},{5}}=>{{1,2},{3,4,5}}=>[3,2] {{1},{2},{3,5},{4}}=>{{1,3},{2},{4},{5}}=>{{1,2,3},{4,5}}=>[3,2] {{1},{2},{3},{4,5}}=>{{1,2},{3},{4},{5}}=>{{1,2,3,4},{5}}=>[4,1] {{1},{2},{3},{4},{5}}=>{{1},{2},{3},{4},{5}}=>{{1,2,3,4,5}}=>[5] {{1,2,3,4,5,6}}=>{{1,2,3,4,5,6}}=>{{1},{2},{3},{4},{5},{6}}=>[1,1,1,1,1,1] {{1,2,3,4,5},{6}}=>{{1},{2,3,4,5,6}}=>{{1,6},{2},{3},{4},{5}}=>[2,1,1,1,1] {{1,2,3,4,6},{5}}=>{{1,3,4,5,6},{2}}=>{{1},{2},{3},{4},{5,6}}=>[2,1,1,1,1] {{1,2,3,4},{5,6}}=>{{1,2},{3,4,5,6}}=>{{1,5},{2},{3},{4},{6}}=>[2,1,1,1,1] {{1,2,3,4},{5},{6}}=>{{1},{2},{3,4,5,6}}=>{{1,5,6},{2},{3},{4}}=>[3,1,1,1] {{1,2,3,5,6},{4}}=>{{1,2,4,5,6},{3}}=>{{1},{2},{3},{4,5},{6}}=>[2,1,1,1,1] {{1,2,3,5},{4,6}}=>{{1,3},{2,4,5,6}}=>{{1,5},{2},{3},{4,6}}=>[2,2,1,1] {{1,2,3,5},{4},{6}}=>{{1},{2,4,5,6},{3}}=>{{1,6},{2},{3},{4,5}}=>[2,2,1,1] {{1,2,3,6},{4,5}}=>{{1,4,5,6},{2,3}}=>{{1},{2},{3},{4,6},{5}}=>[2,1,1,1,1] {{1,2,3},{4,5,6}}=>{{1,2,3},{4,5,6}}=>{{1,4},{2},{3},{5},{6}}=>[2,1,1,1,1] {{1,2,3},{4,5},{6}}=>{{1},{2,3},{4,5,6}}=>{{1,4,6},{2},{3},{5}}=>[3,1,1,1] {{1,2,3,6},{4},{5}}=>{{1,4,5,6},{2},{3}}=>{{1},{2},{3},{4,5,6}}=>[3,1,1,1] {{1,2,3},{4,6},{5}}=>{{1,3},{2},{4,5,6}}=>{{1,4},{2},{3},{5,6}}=>[2,2,1,1] {{1,2,3},{4},{5,6}}=>{{1,2},{3},{4,5,6}}=>{{1,4,5},{2},{3},{6}}=>[3,1,1,1] {{1,2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5,6}}=>{{1,4,5,6},{2},{3}}=>[4,1,1] {{1,2,4,5,6},{3}}=>{{1,2,3,5,6},{4}}=>{{1},{2},{3,4},{5},{6}}=>[2,1,1,1,1] {{1,2,4,5},{3,6}}=>{{1,4},{2,3,5,6}}=>{{1,4},{2},{3,6},{5}}=>[2,2,1,1] {{1,2,4,5},{3},{6}}=>{{1},{2,3,5,6},{4}}=>{{1,6},{2},{3,4},{5}}=>[2,2,1,1] {{1,2,4,6},{3,5}}=>{{1,3,5,6},{2,4}}=>{{1},{2},{3,5},{4,6}}=>[2,2,1,1] {{1,2,4},{3,5,6}}=>{{1,2,4},{3,5,6}}=>{{1,4},{2},{3,5},{6}}=>[2,2,1,1] {{1,2,4},{3,5},{6}}=>{{1},{2,4},{3,5,6}}=>{{1,4,6},{2},{3,5}}=>[3,2,1] {{1,2,4,6},{3},{5}}=>{{1,3,5,6},{2},{4}}=>{{1},{2},{3,4},{5,6}}=>[2,2,1,1] {{1,2,4},{3,6},{5}}=>{{1,4},{2},{3,5,6}}=>{{1,4},{2},{3,5,6}}=>[3,2,1] {{1,2,4},{3},{5,6}}=>{{1,2},{3,5,6},{4}}=>{{1,5},{2},{3,4},{6}}=>[2,2,1,1] {{1,2,4},{3},{5},{6}}=>{{1},{2},{3,5,6},{4}}=>{{1,5,6},{2},{3,4}}=>[3,2,1] {{1,2,5,6},{3,4}}=>{{1,2,5,6},{3,4}}=>{{1},{2},{3,5},{4},{6}}=>[2,1,1,1,1] {{1,2,5},{3,4,6}}=>{{1,3,4},{2,5,6}}=>{{1,5},{2},{3,6},{4}}=>[2,2,1,1] {{1,2,5},{3,4},{6}}=>{{1},{2,5,6},{3,4}}=>{{1,6},{2},{3,5},{4}}=>[2,2,1,1] {{1,2,6},{3,4,5}}=>{{1,5,6},{2,3,4}}=>{{1},{2},{3,6},{4},{5}}=>[2,1,1,1,1] {{1,2},{3,4,5,6}}=>{{1,2,3,4},{5,6}}=>{{1,3},{2},{4},{5},{6}}=>[2,1,1,1,1] {{1,2},{3,4,5},{6}}=>{{1},{2,3,4},{5,6}}=>{{1,3,6},{2},{4},{5}}=>[3,1,1,1] {{1,2,6},{3,4},{5}}=>{{1,5,6},{2},{3,4}}=>{{1},{2},{3,5,6},{4}}=>[3,1,1,1] {{1,2},{3,4,6},{5}}=>{{1,3,4},{2},{5,6}}=>{{1,3},{2},{4},{5,6}}=>[2,2,1,1] {{1,2},{3,4},{5,6}}=>{{1,2},{3,4},{5,6}}=>{{1,3,5},{2},{4},{6}}=>[3,1,1,1] {{1,2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5,6}}=>{{1,3,5,6},{2},{4}}=>[4,1,1] {{1,2,5,6},{3},{4}}=>{{1,2,5,6},{3},{4}}=>{{1},{2},{3,4,5},{6}}=>[3,1,1,1] {{1,2,5},{3,6},{4}}=>{{1,4},{2,5,6},{3}}=>{{1,4,5},{2},{3,6}}=>[3,2,1] {{1,2,5},{3},{4,6}}=>{{1,3},{2,5,6},{4}}=>{{1,5},{2},{3,4,6}}=>[3,2,1] {{1,2,5},{3},{4},{6}}=>{{1},{2,5,6},{3},{4}}=>{{1,6},{2},{3,4,5}}=>[3,2,1] {{1,2,6},{3,5},{4}}=>{{1,5,6},{2,4},{3}}=>{{1},{2},{3,6},{4,5}}=>[2,2,1,1] {{1,2},{3,5,6},{4}}=>{{1,2,4},{3},{5,6}}=>{{1,3},{2},{4,5},{6}}=>[2,2,1,1] {{1,2},{3,5},{4,6}}=>{{1,3},{2,4},{5,6}}=>{{1,3,5},{2},{4,6}}=>[3,2,1] {{1,2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5,6}}=>{{1,3,6},{2},{4,5}}=>[3,2,1] {{1,2,6},{3},{4,5}}=>{{1,5,6},{2,3},{4}}=>{{1},{2},{3,4,6},{5}}=>[3,1,1,1] {{1,2},{3,6},{4,5}}=>{{1,4},{2,3},{5,6}}=>{{1,3},{2},{4,6},{5}}=>[2,2,1,1] {{1,2},{3},{4,5,6}}=>{{1,2,3},{4},{5,6}}=>{{1,3,4},{2},{5},{6}}=>[3,1,1,1] {{1,2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5,6}}=>{{1,3,4,6},{2},{5}}=>[4,1,1] {{1,2,6},{3},{4},{5}}=>{{1,5,6},{2},{3},{4}}=>{{1},{2},{3,4,5,6}}=>[4,1,1] {{1,2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5,6}}=>{{1,3},{2},{4,5,6}}=>[3,2,1] {{1,2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5,6}}=>{{1,3,4},{2},{5,6}}=>[3,2,1] {{1,2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5,6}}=>{{1,3,4,5},{2},{6}}=>[4,1,1] {{1,2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5,6}}=>{{1,3,4,5,6},{2}}=>[5,1] {{1,3,4,5,6},{2}}=>{{1,2,3,4,6},{5}}=>{{1},{2,3},{4},{5},{6}}=>[2,1,1,1,1] {{1,3,4,5},{2,6}}=>{{1,5},{2,3,4,6}}=>{{1,3},{2,6},{4},{5}}=>[2,2,1,1] {{1,3,4,5},{2},{6}}=>{{1},{2,3,4,6},{5}}=>{{1,6},{2,3},{4},{5}}=>[2,2,1,1] {{1,3,4,6},{2,5}}=>{{1,3,4,6},{2,5}}=>{{1},{2,5},{3,6},{4}}=>[2,2,1,1] {{1,3,4},{2,5,6}}=>{{1,2,5},{3,4,6}}=>{{1,3},{2,5},{4},{6}}=>[2,2,1,1] {{1,3,4},{2,5},{6}}=>{{1},{2,5},{3,4,6}}=>{{1,3,6},{2,5},{4}}=>[3,2,1] {{1,3,4,6},{2},{5}}=>{{1,3,4,6},{2},{5}}=>{{1},{2,3},{4},{5,6}}=>[2,2,1,1] {{1,3,4},{2,6},{5}}=>{{1,5},{2},{3,4,6}}=>{{1,3},{2,5,6},{4}}=>[3,2,1] {{1,3,4},{2},{5,6}}=>{{1,2},{3,4,6},{5}}=>{{1,5},{2,3},{4},{6}}=>[2,2,1,1] {{1,3,4},{2},{5},{6}}=>{{1},{2},{3,4,6},{5}}=>{{1,5,6},{2,3},{4}}=>[3,2,1] {{1,3,5,6},{2,4}}=>{{1,2,4,6},{3,5}}=>{{1},{2,4},{3,5},{6}}=>[2,2,1,1] {{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}=>{{1,3,5},{2,4,6}}=>[3,3] {{1,3,5},{2,4},{6}}=>{{1},{2,4,6},{3,5}}=>{{1,6},{2,4},{3,5}}=>[2,2,2] {{1,3,6},{2,4,5}}=>{{1,4,6},{2,3,5}}=>{{1},{2,4},{3,6},{5}}=>[2,2,1,1] {{1,3},{2,4,5,6}}=>{{1,2,3,5},{4,6}}=>{{1,3},{2,4},{5},{6}}=>[2,2,1,1] {{1,3},{2,4,5},{6}}=>{{1},{2,3,5},{4,6}}=>{{1,3,6},{2,4},{5}}=>[3,2,1] {{1,3,6},{2,4},{5}}=>{{1,4,6},{2},{3,5}}=>{{1},{2,4},{3,5,6}}=>[3,2,1] {{1,3},{2,4,6},{5}}=>{{1,3,5},{2},{4,6}}=>{{1,3},{2,4},{5,6}}=>[2,2,2] {{1,3},{2,4},{5,6}}=>{{1,2},{3,5},{4,6}}=>{{1,3,5},{2,4},{6}}=>[3,2,1] {{1,3},{2,4},{5},{6}}=>{{1},{2},{3,5},{4,6}}=>{{1,3,5,6},{2,4}}=>[4,2] {{1,3,5,6},{2},{4}}=>{{1,2,4,6},{3},{5}}=>{{1},{2,3},{4,5},{6}}=>[2,2,1,1] {{1,3,5},{2,6},{4}}=>{{1,5},{2,4,6},{3}}=>{{1,3},{2,6},{4,5}}=>[2,2,2] {{1,3,5},{2},{4,6}}=>{{1,3},{2,4,6},{5}}=>{{1,5},{2,3},{4,6}}=>[2,2,2] {{1,3,5},{2},{4},{6}}=>{{1},{2,4,6},{3},{5}}=>{{1,6},{2,3},{4,5}}=>[2,2,2] {{1,3,6},{2,5},{4}}=>{{1,4,6},{2,5},{3}}=>{{1},{2,4,5},{3,6}}=>[3,2,1] {{1,3},{2,5,6},{4}}=>{{1,2,5},{3},{4,6}}=>{{1,3},{2,4,5},{6}}=>[3,2,1] {{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}=>{{1,3},{2,5},{4,6}}=>[2,2,2] {{1,3},{2,5},{4},{6}}=>{{1},{2,5},{3},{4,6}}=>{{1,3,6},{2,4,5}}=>[3,3] {{1,3,6},{2},{4,5}}=>{{1,4,6},{2,3},{5}}=>{{1},{2,3},{4,6},{5}}=>[2,2,1,1] {{1,3},{2,6},{4,5}}=>{{1,5},{2,3},{4,6}}=>{{1,3},{2,4,6},{5}}=>[3,2,1] {{1,3},{2},{4,5,6}}=>{{1,2,3},{4,6},{5}}=>{{1,4},{2,3},{5},{6}}=>[2,2,1,1] {{1,3},{2},{4,5},{6}}=>{{1},{2,3},{4,6},{5}}=>{{1,4,6},{2,3},{5}}=>[3,2,1] {{1,3,6},{2},{4},{5}}=>{{1,4,6},{2},{3},{5}}=>{{1},{2,3},{4,5,6}}=>[3,2,1] {{1,3},{2,6},{4},{5}}=>{{1,5},{2},{3},{4,6}}=>{{1,3},{2,4,5,6}}=>[4,2] {{1,3},{2},{4,6},{5}}=>{{1,3},{2},{4,6},{5}}=>{{1,4},{2,3},{5,6}}=>[2,2,2] {{1,3},{2},{4},{5,6}}=>{{1,2},{3},{4,6},{5}}=>{{1,4,5},{2,3},{6}}=>[3,2,1] {{1,3},{2},{4},{5},{6}}=>{{1},{2},{3},{4,6},{5}}=>{{1,4,5,6},{2,3}}=>[4,2] {{1,4,5,6},{2,3}}=>{{1,2,3,6},{4,5}}=>{{1},{2,4},{3},{5},{6}}=>[2,1,1,1,1] {{1,4,5},{2,3,6}}=>{{1,4,5},{2,3,6}}=>{{1,4},{2,6},{3},{5}}=>[2,2,1,1] {{1,4,5},{2,3},{6}}=>{{1},{2,3,6},{4,5}}=>{{1,6},{2,4},{3},{5}}=>[2,2,1,1] {{1,4,6},{2,3,5}}=>{{1,3,6},{2,4,5}}=>{{1},{2,5},{3},{4,6}}=>[2,2,1,1] {{1,4},{2,3,5,6}}=>{{1,2,4,5},{3,6}}=>{{1,4},{2,5},{3},{6}}=>[2,2,1,1] {{1,4},{2,3,5},{6}}=>{{1},{2,4,5},{3,6}}=>{{1,4,6},{2,5},{3}}=>[3,2,1] {{1,4,6},{2,3},{5}}=>{{1,3,6},{2},{4,5}}=>{{1},{2,4},{3},{5,6}}=>[2,2,1,1] {{1,4},{2,3,6},{5}}=>{{1,4,5},{2},{3,6}}=>{{1,4},{2,5,6},{3}}=>[3,2,1] {{1,4},{2,3},{5,6}}=>{{1,2},{3,6},{4,5}}=>{{1,5},{2,4},{3},{6}}=>[2,2,1,1] {{1,4},{2,3},{5},{6}}=>{{1},{2},{3,6},{4,5}}=>{{1,5,6},{2,4},{3}}=>[3,2,1] {{1,5,6},{2,3,4}}=>{{1,2,6},{3,4,5}}=>{{1},{2,5},{3},{4},{6}}=>[2,1,1,1,1] {{1,5},{2,3,4,6}}=>{{1,3,4,5},{2,6}}=>{{1,5},{2,6},{3},{4}}=>[2,2,1,1] {{1,5},{2,3,4},{6}}=>{{1},{2,6},{3,4,5}}=>{{1,6},{2,5},{3},{4}}=>[2,2,1,1] {{1,6},{2,3,4,5}}=>{{1,6},{2,3,4,5}}=>{{1},{2,6},{3},{4},{5}}=>[2,1,1,1,1] {{1},{2,3,4,5,6}}=>{{1,2,3,4,5},{6}}=>{{1,2},{3},{4},{5},{6}}=>[2,1,1,1,1] {{1},{2,3,4,5},{6}}=>{{1},{2,3,4,5},{6}}=>{{1,2,6},{3},{4},{5}}=>[3,1,1,1] {{1,6},{2,3,4},{5}}=>{{1,6},{2},{3,4,5}}=>{{1},{2,5,6},{3},{4}}=>[3,1,1,1] {{1},{2,3,4,6},{5}}=>{{1,3,4,5},{2},{6}}=>{{1,2},{3},{4},{5,6}}=>[2,2,1,1] {{1},{2,3,4},{5,6}}=>{{1,2},{3,4,5},{6}}=>{{1,2,5},{3},{4},{6}}=>[3,1,1,1] {{1},{2,3,4},{5},{6}}=>{{1},{2},{3,4,5},{6}}=>{{1,2,5,6},{3},{4}}=>[4,1,1] {{1,5,6},{2,3},{4}}=>{{1,2,6},{3},{4,5}}=>{{1},{2,4,5},{3},{6}}=>[3,1,1,1] {{1,5},{2,3,6},{4}}=>{{1,4,5},{2,6},{3}}=>{{1,4,5},{2,6},{3}}=>[3,2,1] {{1,5},{2,3},{4,6}}=>{{1,3},{2,6},{4,5}}=>{{1,5},{2,4,6},{3}}=>[3,2,1] {{1,5},{2,3},{4},{6}}=>{{1},{2,6},{3},{4,5}}=>{{1,6},{2,4,5},{3}}=>[3,2,1] {{1,6},{2,3,5},{4}}=>{{1,6},{2,4,5},{3}}=>{{1},{2,6},{3},{4,5}}=>[2,2,1,1] {{1},{2,3,5,6},{4}}=>{{1,2,4,5},{3},{6}}=>{{1,2},{3},{4,5},{6}}=>[2,2,1,1] {{1},{2,3,5},{4,6}}=>{{1,3},{2,4,5},{6}}=>{{1,2,5},{3},{4,6}}=>[3,2,1] {{1},{2,3,5},{4},{6}}=>{{1},{2,4,5},{3},{6}}=>{{1,2,6},{3},{4,5}}=>[3,2,1] {{1,6},{2,3},{4,5}}=>{{1,6},{2,3},{4,5}}=>{{1},{2,4,6},{3},{5}}=>[3,1,1,1] {{1},{2,3,6},{4,5}}=>{{1,4,5},{2,3},{6}}=>{{1,2},{3},{4,6},{5}}=>[2,2,1,1] {{1},{2,3},{4,5,6}}=>{{1,2,3},{4,5},{6}}=>{{1,2,4},{3},{5},{6}}=>[3,1,1,1] {{1},{2,3},{4,5},{6}}=>{{1},{2,3},{4,5},{6}}=>{{1,2,4,6},{3},{5}}=>[4,1,1] {{1,6},{2,3},{4},{5}}=>{{1,6},{2},{3},{4,5}}=>{{1},{2,4,5,6},{3}}=>[4,1,1] {{1},{2,3,6},{4},{5}}=>{{1,4,5},{2},{3},{6}}=>{{1,2},{3},{4,5,6}}=>[3,2,1] {{1},{2,3},{4,6},{5}}=>{{1,3},{2},{4,5},{6}}=>{{1,2,4},{3},{5,6}}=>[3,2,1] {{1},{2,3},{4},{5,6}}=>{{1,2},{3},{4,5},{6}}=>{{1,2,4,5},{3},{6}}=>[4,1,1] {{1},{2,3},{4},{5},{6}}=>{{1},{2},{3},{4,5},{6}}=>{{1,2,4,5,6},{3}}=>[5,1] {{1,4,5,6},{2},{3}}=>{{1,2,3,6},{4},{5}}=>{{1},{2,3,4},{5},{6}}=>[3,1,1,1] {{1,4,5},{2,6},{3}}=>{{1,5},{2,3,6},{4}}=>{{1,3,4},{2,6},{5}}=>[3,2,1] {{1,4,5},{2},{3,6}}=>{{1,4},{2,3,6},{5}}=>{{1,4},{2,3,6},{5}}=>[3,2,1] {{1,4,5},{2},{3},{6}}=>{{1},{2,3,6},{4},{5}}=>{{1,6},{2,3,4},{5}}=>[3,2,1] {{1,4,6},{2,5},{3}}=>{{1,3,6},{2,5},{4}}=>{{1},{2,5},{3,4,6}}=>[3,2,1] {{1,4},{2,5,6},{3}}=>{{1,2,5},{3,6},{4}}=>{{1,3,4},{2,5},{6}}=>[3,2,1] {{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>{{1,4},{2,5},{3,6}}=>[2,2,2] {{1,4},{2,5},{3},{6}}=>{{1},{2,5},{3,6},{4}}=>{{1,3,4,6},{2,5}}=>[4,2] {{1,4,6},{2},{3,5}}=>{{1,3,6},{2,4},{5}}=>{{1},{2,3,5},{4,6}}=>[3,2,1] {{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>[2,2,2] {{1,4},{2},{3,5,6}}=>{{1,2,4},{3,6},{5}}=>{{1,4},{2,3,5},{6}}=>[3,2,1] {{1,4},{2},{3,5},{6}}=>{{1},{2,4},{3,6},{5}}=>{{1,4,6},{2,3,5}}=>[3,3] {{1,4,6},{2},{3},{5}}=>{{1,3,6},{2},{4},{5}}=>{{1},{2,3,4},{5,6}}=>[3,2,1] {{1,4},{2,6},{3},{5}}=>{{1,5},{2},{3,6},{4}}=>{{1,3,4},{2,5,6}}=>[3,3] {{1,4},{2},{3,6},{5}}=>{{1,4},{2},{3,6},{5}}=>{{1,4},{2,3,5,6}}=>[4,2] {{1,4},{2},{3},{5,6}}=>{{1,2},{3,6},{4},{5}}=>{{1,5},{2,3,4},{6}}=>[3,2,1] {{1,4},{2},{3},{5},{6}}=>{{1},{2},{3,6},{4},{5}}=>{{1,5,6},{2,3,4}}=>[3,3] {{1,5,6},{2,4},{3}}=>{{1,2,6},{3,5},{4}}=>{{1},{2,5},{3,4},{6}}=>[2,2,1,1] {{1,5},{2,4,6},{3}}=>{{1,3,5},{2,6},{4}}=>{{1,5},{2,6},{3,4}}=>[2,2,2] {{1,5},{2,4},{3,6}}=>{{1,4},{2,6},{3,5}}=>{{1,5},{2,4},{3,6}}=>[2,2,2] {{1,5},{2,4},{3},{6}}=>{{1},{2,6},{3,5},{4}}=>{{1,6},{2,5},{3,4}}=>[2,2,2] {{1,6},{2,4,5},{3}}=>{{1,6},{2,3,5},{4}}=>{{1},{2,6},{3,4},{5}}=>[2,2,1,1] {{1},{2,4,5,6},{3}}=>{{1,2,3,5},{4},{6}}=>{{1,2},{3,4},{5},{6}}=>[2,2,1,1] {{1},{2,4,5},{3,6}}=>{{1,4},{2,3,5},{6}}=>{{1,2,4},{3,6},{5}}=>[3,2,1] {{1},{2,4,5},{3},{6}}=>{{1},{2,3,5},{4},{6}}=>{{1,2,6},{3,4},{5}}=>[3,2,1] {{1,6},{2,4},{3,5}}=>{{1,6},{2,4},{3,5}}=>{{1},{2,4,6},{3,5}}=>[3,2,1] {{1},{2,4,6},{3,5}}=>{{1,3,5},{2,4},{6}}=>{{1,2},{3,5},{4,6}}=>[2,2,2] {{1},{2,4},{3,5,6}}=>{{1,2,4},{3,5},{6}}=>{{1,2,4},{3,5},{6}}=>[3,2,1] {{1},{2,4},{3,5},{6}}=>{{1},{2,4},{3,5},{6}}=>{{1,2,4,6},{3,5}}=>[4,2] {{1,6},{2,4},{3},{5}}=>{{1,6},{2},{3,5},{4}}=>{{1},{2,5,6},{3,4}}=>[3,2,1] {{1},{2,4,6},{3},{5}}=>{{1,3,5},{2},{4},{6}}=>{{1,2},{3,4},{5,6}}=>[2,2,2] {{1},{2,4},{3,6},{5}}=>{{1,4},{2},{3,5},{6}}=>{{1,2,4},{3,5,6}}=>[3,3] {{1},{2,4},{3},{5,6}}=>{{1,2},{3,5},{4},{6}}=>{{1,2,5},{3,4},{6}}=>[3,2,1] {{1},{2,4},{3},{5},{6}}=>{{1},{2},{3,5},{4},{6}}=>{{1,2,5,6},{3,4}}=>[4,2] {{1,5,6},{2},{3,4}}=>{{1,2,6},{3,4},{5}}=>{{1},{2,3,5},{4},{6}}=>[3,1,1,1] {{1,5},{2,6},{3,4}}=>{{1,5},{2,6},{3,4}}=>{{1,3,5},{2,6},{4}}=>[3,2,1] {{1,5},{2},{3,4,6}}=>{{1,3,4},{2,6},{5}}=>{{1,5},{2,3,6},{4}}=>[3,2,1] {{1,5},{2},{3,4},{6}}=>{{1},{2,6},{3,4},{5}}=>{{1,6},{2,3,5},{4}}=>[3,2,1] {{1,6},{2,5},{3,4}}=>{{1,6},{2,5},{3,4}}=>{{1},{2,6},{3,5},{4}}=>[2,2,1,1] {{1},{2,5,6},{3,4}}=>{{1,2,5},{3,4},{6}}=>{{1,2},{3,5},{4},{6}}=>[2,2,1,1] {{1},{2,5},{3,4,6}}=>{{1,3,4},{2,5},{6}}=>{{1,2,5},{3,6},{4}}=>[3,2,1] {{1},{2,5},{3,4},{6}}=>{{1},{2,5},{3,4},{6}}=>{{1,2,6},{3,5},{4}}=>[3,2,1] {{1,6},{2},{3,4,5}}=>{{1,6},{2,3,4},{5}}=>{{1},{2,3,6},{4},{5}}=>[3,1,1,1] {{1},{2,6},{3,4,5}}=>{{1,5},{2,3,4},{6}}=>{{1,2},{3,6},{4},{5}}=>[2,2,1,1] {{1},{2},{3,4,5,6}}=>{{1,2,3,4},{5},{6}}=>{{1,2,3},{4},{5},{6}}=>[3,1,1,1] {{1},{2},{3,4,5},{6}}=>{{1},{2,3,4},{5},{6}}=>{{1,2,3,6},{4},{5}}=>[4,1,1] {{1,6},{2},{3,4},{5}}=>{{1,6},{2},{3,4},{5}}=>{{1},{2,3,5,6},{4}}=>[4,1,1] {{1},{2,6},{3,4},{5}}=>{{1,5},{2},{3,4},{6}}=>{{1,2},{3,5,6},{4}}=>[3,2,1] {{1},{2},{3,4,6},{5}}=>{{1,3,4},{2},{5},{6}}=>{{1,2,3},{4},{5,6}}=>[3,2,1] {{1},{2},{3,4},{5,6}}=>{{1,2},{3,4},{5},{6}}=>{{1,2,3,5},{4},{6}}=>[4,1,1] {{1},{2},{3,4},{5},{6}}=>{{1},{2},{3,4},{5},{6}}=>{{1,2,3,5,6},{4}}=>[5,1] {{1,5,6},{2},{3},{4}}=>{{1,2,6},{3},{4},{5}}=>{{1},{2,3,4,5},{6}}=>[4,1,1] {{1,5},{2,6},{3},{4}}=>{{1,5},{2,6},{3},{4}}=>{{1,3,4,5},{2,6}}=>[4,2] {{1,5},{2},{3,6},{4}}=>{{1,4},{2,6},{3},{5}}=>{{1,4,5},{2,3,6}}=>[3,3] {{1,5},{2},{3},{4,6}}=>{{1,3},{2,6},{4},{5}}=>{{1,5},{2,3,4,6}}=>[4,2] {{1,5},{2},{3},{4},{6}}=>{{1},{2,6},{3},{4},{5}}=>{{1,6},{2,3,4,5}}=>[4,2] {{1,6},{2,5},{3},{4}}=>{{1,6},{2,5},{3},{4}}=>{{1},{2,6},{3,4,5}}=>[3,2,1] {{1},{2,5,6},{3},{4}}=>{{1,2,5},{3},{4},{6}}=>{{1,2},{3,4,5},{6}}=>[3,2,1] {{1},{2,5},{3,6},{4}}=>{{1,4},{2,5},{3},{6}}=>{{1,2,4,5},{3,6}}=>[4,2] {{1},{2,5},{3},{4,6}}=>{{1,3},{2,5},{4},{6}}=>{{1,2,5},{3,4,6}}=>[3,3] {{1},{2,5},{3},{4},{6}}=>{{1},{2,5},{3},{4},{6}}=>{{1,2,6},{3,4,5}}=>[3,3] {{1,6},{2},{3,5},{4}}=>{{1,6},{2,4},{3},{5}}=>{{1},{2,3,6},{4,5}}=>[3,2,1] {{1},{2,6},{3,5},{4}}=>{{1,5},{2,4},{3},{6}}=>{{1,2},{3,6},{4,5}}=>[2,2,2] {{1},{2},{3,5,6},{4}}=>{{1,2,4},{3},{5},{6}}=>{{1,2,3},{4,5},{6}}=>[3,2,1] {{1},{2},{3,5},{4,6}}=>{{1,3},{2,4},{5},{6}}=>{{1,2,3,5},{4,6}}=>[4,2] {{1},{2},{3,5},{4},{6}}=>{{1},{2,4},{3},{5},{6}}=>{{1,2,3,6},{4,5}}=>[4,2] {{1,6},{2},{3},{4,5}}=>{{1,6},{2,3},{4},{5}}=>{{1},{2,3,4,6},{5}}=>[4,1,1] {{1},{2,6},{3},{4,5}}=>{{1,5},{2,3},{4},{6}}=>{{1,2},{3,4,6},{5}}=>[3,2,1] {{1},{2},{3,6},{4,5}}=>{{1,4},{2,3},{5},{6}}=>{{1,2,3},{4,6},{5}}=>[3,2,1] {{1},{2},{3},{4,5,6}}=>{{1,2,3},{4},{5},{6}}=>{{1,2,3,4},{5},{6}}=>[4,1,1] {{1},{2},{3},{4,5},{6}}=>{{1},{2,3},{4},{5},{6}}=>{{1,2,3,4,6},{5}}=>[5,1] {{1,6},{2},{3},{4},{5}}=>{{1,6},{2},{3},{4},{5}}=>{{1},{2,3,4,5,6}}=>[5,1] {{1},{2,6},{3},{4},{5}}=>{{1,5},{2},{3},{4},{6}}=>{{1,2},{3,4,5,6}}=>[4,2] {{1},{2},{3,6},{4},{5}}=>{{1,4},{2},{3},{5},{6}}=>{{1,2,3},{4,5,6}}=>[3,3] {{1},{2},{3},{4,6},{5}}=>{{1,3},{2},{4},{5},{6}}=>{{1,2,3,4},{5,6}}=>[4,2] {{1},{2},{3},{4},{5,6}}=>{{1,2},{3},{4},{5},{6}}=>{{1,2,3,4,5},{6}}=>[5,1] {{1},{2},{3},{4},{5},{6}}=>{{1},{2},{3},{4},{5},{6}}=>{{1,2,3,4,5,6}}=>[6] {{1,2,3,4,5,6,7}}=>{{1,2,3,4,5,6,7}}=>{{1},{2},{3},{4},{5},{6},{7}}=>[1,1,1,1,1,1,1] {{1,2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6,7}}=>{{1,7},{2},{3},{4},{5},{6}}=>[2,1,1,1,1,1] {{1,2,3,4,5,7},{6}}=>{{1,3,4,5,6,7},{2}}=>{{1},{2},{3},{4},{5},{6,7}}=>[2,1,1,1,1,1] {{1,2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6,7}}=>{{1,6},{2},{3},{4},{5},{7}}=>[2,1,1,1,1,1] {{1,2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6,7}}=>{{1,6,7},{2},{3},{4},{5}}=>[3,1,1,1,1] {{1,2,3,4,6,7},{5}}=>{{1,2,4,5,6,7},{3}}=>{{1},{2},{3},{4},{5,6},{7}}=>[2,1,1,1,1,1] {{1,2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6,7}}=>{{1,6},{2},{3},{4},{5,7}}=>[2,2,1,1,1] {{1,2,3,4,6},{5},{7}}=>{{1},{2,4,5,6,7},{3}}=>{{1,7},{2},{3},{4},{5,6}}=>[2,2,1,1,1] {{1,2,3,4,7},{5,6}}=>{{1,4,5,6,7},{2,3}}=>{{1},{2},{3},{4},{5,7},{6}}=>[2,1,1,1,1,1] {{1,2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6,7}}=>{{1,5},{2},{3},{4},{6},{7}}=>[2,1,1,1,1,1] {{1,2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6,7}}=>{{1,5,7},{2},{3},{4},{6}}=>[3,1,1,1,1] {{1,2,3,4,7},{5},{6}}=>{{1,4,5,6,7},{2},{3}}=>{{1},{2},{3},{4},{5,6,7}}=>[3,1,1,1,1] {{1,2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6,7}}=>{{1,5},{2},{3},{4},{6,7}}=>[2,2,1,1,1] {{1,2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6,7}}=>{{1,5,6},{2},{3},{4},{7}}=>[3,1,1,1,1] {{1,2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6,7}}=>{{1,5,6,7},{2},{3},{4}}=>[4,1,1,1] {{1,2,3,5,6,7},{4}}=>{{1,2,3,5,6,7},{4}}=>{{1},{2},{3},{4,5},{6},{7}}=>[2,1,1,1,1,1] {{1,2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6,7}}=>{{1,5},{2},{3},{4,7},{6}}=>[2,2,1,1,1] {{1,2,3,5,6},{4},{7}}=>{{1},{2,3,5,6,7},{4}}=>{{1,7},{2},{3},{4,5},{6}}=>[2,2,1,1,1] {{1,2,3,5,7},{4,6}}=>{{1,3,5,6,7},{2,4}}=>{{1},{2},{3},{4,6},{5,7}}=>[2,2,1,1,1] {{1,2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6,7}}=>{{1,5},{2},{3},{4,6},{7}}=>[2,2,1,1,1] {{1,2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6,7}}=>{{1,5,7},{2},{3},{4,6}}=>[3,2,1,1] {{1,2,3,5,7},{4},{6}}=>{{1,3,5,6,7},{2},{4}}=>{{1},{2},{3},{4,5},{6,7}}=>[2,2,1,1,1] {{1,2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6,7}}=>{{1,5},{2},{3},{4,6,7}}=>[3,2,1,1] {{1,2,3,5},{4},{6,7}}=>{{1,2},{3,5,6,7},{4}}=>{{1,6},{2},{3},{4,5},{7}}=>[2,2,1,1,1] {{1,2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6,7},{4}}=>{{1,6,7},{2},{3},{4,5}}=>[3,2,1,1] {{1,2,3,6,7},{4,5}}=>{{1,2,5,6,7},{3,4}}=>{{1},{2},{3},{4,6},{5},{7}}=>[2,1,1,1,1,1] {{1,2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6,7}}=>{{1,6},{2},{3},{4,7},{5}}=>[2,2,1,1,1] {{1,2,3,6},{4,5},{7}}=>{{1},{2,5,6,7},{3,4}}=>{{1,7},{2},{3},{4,6},{5}}=>[2,2,1,1,1] {{1,2,3,7},{4,5,6}}=>{{1,5,6,7},{2,3,4}}=>{{1},{2},{3},{4,7},{5},{6}}=>[2,1,1,1,1,1] {{1,2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6,7}}=>{{1,4},{2},{3},{5},{6},{7}}=>[2,1,1,1,1,1] {{1,2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6,7}}=>{{1,4,7},{2},{3},{5},{6}}=>[3,1,1,1,1] {{1,2,3,7},{4,5},{6}}=>{{1,5,6,7},{2},{3,4}}=>{{1},{2},{3},{4,6,7},{5}}=>[3,1,1,1,1] {{1,2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6,7}}=>{{1,4},{2},{3},{5},{6,7}}=>[2,2,1,1,1] {{1,2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6,7}}=>{{1,4,6},{2},{3},{5},{7}}=>[3,1,1,1,1] {{1,2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6,7}}=>{{1,4,6,7},{2},{3},{5}}=>[4,1,1,1] {{1,2,3,6,7},{4},{5}}=>{{1,2,5,6,7},{3},{4}}=>{{1},{2},{3},{4,5,6},{7}}=>[3,1,1,1,1] {{1,2,3,6},{4,7},{5}}=>{{1,4},{2,5,6,7},{3}}=>{{1,5,6},{2},{3},{4,7}}=>[3,2,1,1] {{1,2,3,6},{4},{5,7}}=>{{1,3},{2,5,6,7},{4}}=>{{1,6},{2},{3},{4,5,7}}=>[3,2,1,1] {{1,2,3,6},{4},{5},{7}}=>{{1},{2,5,6,7},{3},{4}}=>{{1,7},{2},{3},{4,5,6}}=>[3,2,1,1] {{1,2,3,7},{4,6},{5}}=>{{1,5,6,7},{2,4},{3}}=>{{1},{2},{3},{4,7},{5,6}}=>[2,2,1,1,1] {{1,2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6,7}}=>{{1,4},{2},{3},{5,6},{7}}=>[2,2,1,1,1] {{1,2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6,7}}=>{{1,4,6},{2},{3},{5,7}}=>[3,2,1,1] {{1,2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6,7}}=>{{1,4,7},{2},{3},{5,6}}=>[3,2,1,1] {{1,2,3,7},{4},{5,6}}=>{{1,5,6,7},{2,3},{4}}=>{{1},{2},{3},{4,5,7},{6}}=>[3,1,1,1,1] {{1,2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6,7}}=>{{1,4},{2},{3},{5,7},{6}}=>[2,2,1,1,1] {{1,2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6,7}}=>{{1,4,5},{2},{3},{6},{7}}=>[3,1,1,1,1] {{1,2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6,7}}=>{{1,4,5,7},{2},{3},{6}}=>[4,1,1,1] {{1,2,3,7},{4},{5},{6}}=>{{1,5,6,7},{2},{3},{4}}=>{{1},{2},{3},{4,5,6,7}}=>[4,1,1,1] {{1,2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6,7}}=>{{1,4},{2},{3},{5,6,7}}=>[3,2,1,1] {{1,2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6,7}}=>{{1,4,5},{2},{3},{6,7}}=>[3,2,1,1] {{1,2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6,7}}=>{{1,4,5,6},{2},{3},{7}}=>[4,1,1,1] {{1,2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6,7}}=>{{1,4,5,6,7},{2},{3}}=>[5,1,1] {{1,2,4,5,6,7},{3}}=>{{1,2,3,4,6,7},{5}}=>{{1},{2},{3,4},{5},{6},{7}}=>[2,1,1,1,1,1] {{1,2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6,7}}=>{{1,4},{2},{3,7},{5},{6}}=>[2,2,1,1,1] {{1,2,4,5,6},{3},{7}}=>{{1},{2,3,4,6,7},{5}}=>{{1,7},{2},{3,4},{5},{6}}=>[2,2,1,1,1] {{1,2,4,5,7},{3,6}}=>{{1,3,4,6,7},{2,5}}=>{{1},{2},{3,6},{4,7},{5}}=>[2,2,1,1,1] {{1,2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6,7}}=>{{1,4},{2},{3,6},{5},{7}}=>[2,2,1,1,1] {{1,2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6,7}}=>{{1,4,7},{2},{3,6},{5}}=>[3,2,1,1] {{1,2,4,5,7},{3},{6}}=>{{1,3,4,6,7},{2},{5}}=>{{1},{2},{3,4},{5},{6,7}}=>[2,2,1,1,1] {{1,2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6,7}}=>{{1,4},{2},{3,6,7},{5}}=>[3,2,1,1] {{1,2,4,5},{3},{6,7}}=>{{1,2},{3,4,6,7},{5}}=>{{1,6},{2},{3,4},{5},{7}}=>[2,2,1,1,1] {{1,2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6,7},{5}}=>{{1,6,7},{2},{3,4},{5}}=>[3,2,1,1] {{1,2,4,6,7},{3,5}}=>{{1,2,4,6,7},{3,5}}=>{{1},{2},{3,5},{4,6},{7}}=>[2,2,1,1,1] {{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6,7}}=>{{1,4,6},{2},{3,5,7}}=>[3,3,1] {{1,2,4,6},{3,5},{7}}=>{{1},{2,4,6,7},{3,5}}=>{{1,7},{2},{3,5},{4,6}}=>[2,2,2,1] {{1,2,4,7},{3,5,6}}=>{{1,4,6,7},{2,3,5}}=>{{1},{2},{3,5},{4,7},{6}}=>[2,2,1,1,1] {{1,2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6,7}}=>{{1,4},{2},{3,5},{6},{7}}=>[2,2,1,1,1] {{1,2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6,7}}=>{{1,4,7},{2},{3,5},{6}}=>[3,2,1,1] {{1,2,4,7},{3,5},{6}}=>{{1,4,6,7},{2},{3,5}}=>{{1},{2},{3,5},{4,6,7}}=>[3,2,1,1] {{1,2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6,7}}=>{{1,4},{2},{3,5},{6,7}}=>[2,2,2,1] {{1,2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6,7}}=>{{1,4,6},{2},{3,5},{7}}=>[3,2,1,1] {{1,2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6,7}}=>{{1,4,6,7},{2},{3,5}}=>[4,2,1] {{1,2,4,6,7},{3},{5}}=>{{1,2,4,6,7},{3},{5}}=>{{1},{2},{3,4},{5,6},{7}}=>[2,2,1,1,1] {{1,2,4,6},{3,7},{5}}=>{{1,5},{2,4,6,7},{3}}=>{{1,4},{2},{3,7},{5,6}}=>[2,2,2,1] {{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4,6,7},{5}}=>{{1,6},{2},{3,4},{5,7}}=>[2,2,2,1] {{1,2,4,6},{3},{5},{7}}=>{{1},{2,4,6,7},{3},{5}}=>{{1,7},{2},{3,4},{5,6}}=>[2,2,2,1] {{1,2,4,7},{3,6},{5}}=>{{1,4,6,7},{2,5},{3}}=>{{1},{2},{3,5,6},{4,7}}=>[3,2,1,1] {{1,2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6,7}}=>{{1,4},{2},{3,5,6},{7}}=>[3,2,1,1] {{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}}=>{{1,4},{2},{3,6},{5,7}}=>[2,2,2,1] {{1,2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6,7}}=>{{1,4,7},{2},{3,5,6}}=>[3,3,1] {{1,2,4,7},{3},{5,6}}=>{{1,4,6,7},{2,3},{5}}=>{{1},{2},{3,4},{5,7},{6}}=>[2,2,1,1,1] {{1,2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6,7}}=>{{1,4},{2},{3,5,7},{6}}=>[3,2,1,1] {{1,2,4},{3},{5,6,7}}=>{{1,2,3},{4,6,7},{5}}=>{{1,5},{2},{3,4},{6},{7}}=>[2,2,1,1,1] {{1,2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6,7},{5}}=>{{1,5,7},{2},{3,4},{6}}=>[3,2,1,1] {{1,2,4,7},{3},{5},{6}}=>{{1,4,6,7},{2},{3},{5}}=>{{1},{2},{3,4},{5,6,7}}=>[3,2,1,1] {{1,2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6,7}}=>{{1,4},{2},{3,5,6,7}}=>[4,2,1] {{1,2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6,7},{5}}=>{{1,5},{2},{3,4},{6,7}}=>[2,2,2,1] {{1,2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6,7},{5}}=>{{1,5,6},{2},{3,4},{7}}=>[3,2,1,1] {{1,2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6,7},{5}}=>{{1,5,6,7},{2},{3,4}}=>[4,2,1] {{1,2,5,6,7},{3,4}}=>{{1,2,3,6,7},{4,5}}=>{{1},{2},{3,5},{4},{6},{7}}=>[2,1,1,1,1,1] {{1,2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6,7}}=>{{1,5},{2},{3,7},{4},{6}}=>[2,2,1,1,1] {{1,2,5,6},{3,4},{7}}=>{{1},{2,3,6,7},{4,5}}=>{{1,7},{2},{3,5},{4},{6}}=>[2,2,1,1,1] {{1,2,5,7},{3,4,6}}=>{{1,3,6,7},{2,4,5}}=>{{1},{2},{3,6},{4},{5,7}}=>[2,2,1,1,1] {{1,2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6,7}}=>{{1,5},{2},{3,6},{4},{7}}=>[2,2,1,1,1] {{1,2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6,7}}=>{{1,5,7},{2},{3,6},{4}}=>[3,2,1,1] {{1,2,5,7},{3,4},{6}}=>{{1,3,6,7},{2},{4,5}}=>{{1},{2},{3,5},{4},{6,7}}=>[2,2,1,1,1] {{1,2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6,7}}=>{{1,5},{2},{3,6,7},{4}}=>[3,2,1,1] {{1,2,5},{3,4},{6,7}}=>{{1,2},{3,6,7},{4,5}}=>{{1,6},{2},{3,5},{4},{7}}=>[2,2,1,1,1] {{1,2,5},{3,4},{6},{7}}=>{{1},{2},{3,6,7},{4,5}}=>{{1,6,7},{2},{3,5},{4}}=>[3,2,1,1] {{1,2,6,7},{3,4,5}}=>{{1,2,6,7},{3,4,5}}=>{{1},{2},{3,6},{4},{5},{7}}=>[2,1,1,1,1,1] {{1,2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6,7}}=>{{1,6},{2},{3,7},{4},{5}}=>[2,2,1,1,1] {{1,2,6},{3,4,5},{7}}=>{{1},{2,6,7},{3,4,5}}=>{{1,7},{2},{3,6},{4},{5}}=>[2,2,1,1,1] {{1,2,7},{3,4,5,6}}=>{{1,6,7},{2,3,4,5}}=>{{1},{2},{3,7},{4},{5},{6}}=>[2,1,1,1,1,1] {{1,2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6,7}}=>{{1,3},{2},{4},{5},{6},{7}}=>[2,1,1,1,1,1] {{1,2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6,7}}=>{{1,3,7},{2},{4},{5},{6}}=>[3,1,1,1,1] {{1,2,7},{3,4,5},{6}}=>{{1,6,7},{2},{3,4,5}}=>{{1},{2},{3,6,7},{4},{5}}=>[3,1,1,1,1] {{1,2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6,7}}=>{{1,3},{2},{4},{5},{6,7}}=>[2,2,1,1,1] {{1,2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6,7}}=>{{1,3,6},{2},{4},{5},{7}}=>[3,1,1,1,1] {{1,2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6,7}}=>{{1,3,6,7},{2},{4},{5}}=>[4,1,1,1] {{1,2,6,7},{3,4},{5}}=>{{1,2,6,7},{3},{4,5}}=>{{1},{2},{3,5,6},{4},{7}}=>[3,1,1,1,1] {{1,2,6},{3,4,7},{5}}=>{{1,4,5},{2,6,7},{3}}=>{{1,5,6},{2},{3,7},{4}}=>[3,2,1,1] {{1,2,6},{3,4},{5,7}}=>{{1,3},{2,6,7},{4,5}}=>{{1,6},{2},{3,5,7},{4}}=>[3,2,1,1] {{1,2,6},{3,4},{5},{7}}=>{{1},{2,6,7},{3},{4,5}}=>{{1,7},{2},{3,5,6},{4}}=>[3,2,1,1] {{1,2,7},{3,4,6},{5}}=>{{1,6,7},{2,4,5},{3}}=>{{1},{2},{3,7},{4},{5,6}}=>[2,2,1,1,1] {{1,2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6,7}}=>{{1,3},{2},{4},{5,6},{7}}=>[2,2,1,1,1] {{1,2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6,7}}=>{{1,3,6},{2},{4},{5,7}}=>[3,2,1,1] {{1,2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6,7}}=>{{1,3,7},{2},{4},{5,6}}=>[3,2,1,1] {{1,2,7},{3,4},{5,6}}=>{{1,6,7},{2,3},{4,5}}=>{{1},{2},{3,5,7},{4},{6}}=>[3,1,1,1,1] {{1,2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6,7}}=>{{1,3},{2},{4},{5,7},{6}}=>[2,2,1,1,1] {{1,2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6,7}}=>{{1,3,5},{2},{4},{6},{7}}=>[3,1,1,1,1] {{1,2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6,7}}=>{{1,3,5,7},{2},{4},{6}}=>[4,1,1,1] {{1,2,7},{3,4},{5},{6}}=>{{1,6,7},{2},{3},{4,5}}=>{{1},{2},{3,5,6,7},{4}}=>[4,1,1,1] {{1,2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6,7}}=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,1] {{1,2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6,7}}=>{{1,3,5},{2},{4},{6,7}}=>[3,2,1,1] {{1,2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6,7}}=>{{1,3,5,6},{2},{4},{7}}=>[4,1,1,1] {{1,2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6,7}}=>{{1,3,5,6,7},{2},{4}}=>[5,1,1] {{1,2,5,6,7},{3},{4}}=>{{1,2,3,6,7},{4},{5}}=>{{1},{2},{3,4,5},{6},{7}}=>[3,1,1,1,1] {{1,2,5,6},{3,7},{4}}=>{{1,5},{2,3,6,7},{4}}=>{{1,4,5},{2},{3,7},{6}}=>[3,2,1,1] {{1,2,5,6},{3},{4,7}}=>{{1,4},{2,3,6,7},{5}}=>{{1,5},{2},{3,4,7},{6}}=>[3,2,1,1] {{1,2,5,6},{3},{4},{7}}=>{{1},{2,3,6,7},{4},{5}}=>{{1,7},{2},{3,4,5},{6}}=>[3,2,1,1] {{1,2,5,7},{3,6},{4}}=>{{1,3,6,7},{2,5},{4}}=>{{1},{2},{3,6},{4,5,7}}=>[3,2,1,1] {{1,2,5},{3,6,7},{4}}=>{{1,2,5},{3,6,7},{4}}=>{{1,4,5},{2},{3,6},{7}}=>[3,2,1,1] {{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}=>{{1,5},{2},{3,6},{4,7}}=>[2,2,2,1] {{1,2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6,7},{4}}=>{{1,4,5,7},{2},{3,6}}=>[4,2,1] {{1,2,5,7},{3},{4,6}}=>{{1,3,6,7},{2,4},{5}}=>{{1},{2},{3,4,6},{5,7}}=>[3,2,1,1] {{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}=>{{1,5},{2},{3,7},{4,6}}=>[2,2,2,1] {{1,2,5},{3},{4,6,7}}=>{{1,2,4},{3,6,7},{5}}=>{{1,5},{2},{3,4,6},{7}}=>[3,2,1,1] {{1,2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6,7},{5}}=>{{1,5,7},{2},{3,4,6}}=>[3,3,1] {{1,2,5,7},{3},{4},{6}}=>{{1,3,6,7},{2},{4},{5}}=>{{1},{2},{3,4,5},{6,7}}=>[3,2,1,1] {{1,2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6,7},{4}}=>{{1,4,5},{2},{3,6,7}}=>[3,3,1] {{1,2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6,7},{5}}=>{{1,5},{2},{3,4,6,7}}=>[4,2,1] {{1,2,5},{3},{4},{6,7}}=>{{1,2},{3,6,7},{4},{5}}=>{{1,6},{2},{3,4,5},{7}}=>[3,2,1,1] {{1,2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6,7},{4},{5}}=>{{1,6,7},{2},{3,4,5}}=>[3,3,1] {{1,2,6,7},{3,5},{4}}=>{{1,2,6,7},{3,5},{4}}=>{{1},{2},{3,6},{4,5},{7}}=>[2,2,1,1,1] {{1,2,6},{3,5,7},{4}}=>{{1,3,5},{2,6,7},{4}}=>{{1,6},{2},{3,7},{4,5}}=>[2,2,2,1] {{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}=>{{1,6},{2},{3,5},{4,7}}=>[2,2,2,1] {{1,2,6},{3,5},{4},{7}}=>{{1},{2,6,7},{3,5},{4}}=>{{1,7},{2},{3,6},{4,5}}=>[2,2,2,1] {{1,2,7},{3,5,6},{4}}=>{{1,6,7},{2,3,5},{4}}=>{{1},{2},{3,7},{4,5},{6}}=>[2,2,1,1,1] {{1,2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6,7}}=>{{1,3},{2},{4,5},{6},{7}}=>[2,2,1,1,1] {{1,2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6,7}}=>{{1,3,5},{2},{4,7},{6}}=>[3,2,1,1] {{1,2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6,7}}=>{{1,3,7},{2},{4,5},{6}}=>[3,2,1,1] {{1,2,7},{3,5},{4,6}}=>{{1,6,7},{2,4},{3,5}}=>{{1},{2},{3,5,7},{4,6}}=>[3,2,1,1] {{1,2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6,7}}=>{{1,3},{2},{4,6},{5,7}}=>[2,2,2,1] {{1,2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6,7}}=>{{1,3,5},{2},{4,6},{7}}=>[3,2,1,1] {{1,2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6,7}}=>{{1,3,5,7},{2},{4,6}}=>[4,2,1] {{1,2,7},{3,5},{4},{6}}=>{{1,6,7},{2},{3,5},{4}}=>{{1},{2},{3,6,7},{4,5}}=>[3,2,1,1] {{1,2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6,7}}=>{{1,3},{2},{4,5},{6,7}}=>[2,2,2,1] {{1,2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6,7}}=>{{1,3,5},{2},{4,6,7}}=>[3,3,1] {{1,2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6,7}}=>{{1,3,6},{2},{4,5},{7}}=>[3,2,1,1] {{1,2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6,7}}=>{{1,3,6,7},{2},{4,5}}=>[4,2,1] {{1,2,6,7},{3},{4,5}}=>{{1,2,6,7},{3,4},{5}}=>{{1},{2},{3,4,6},{5},{7}}=>[3,1,1,1,1] {{1,2,6},{3,7},{4,5}}=>{{1,5},{2,6,7},{3,4}}=>{{1,4,6},{2},{3,7},{5}}=>[3,2,1,1] {{1,2,6},{3},{4,5,7}}=>{{1,3,4},{2,6,7},{5}}=>{{1,6},{2},{3,4,7},{5}}=>[3,2,1,1] {{1,2,6},{3},{4,5},{7}}=>{{1},{2,6,7},{3,4},{5}}=>{{1,7},{2},{3,4,6},{5}}=>[3,2,1,1] {{1,2,7},{3,6},{4,5}}=>{{1,6,7},{2,5},{3,4}}=>{{1},{2},{3,7},{4,6},{5}}=>[2,2,1,1,1] {{1,2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6,7}}=>{{1,3},{2},{4,6},{5},{7}}=>[2,2,1,1,1] {{1,2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6,7}}=>{{1,3,6},{2},{4,7},{5}}=>[3,2,1,1] {{1,2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6,7}}=>{{1,3,7},{2},{4,6},{5}}=>[3,2,1,1] {{1,2,7},{3},{4,5,6}}=>{{1,6,7},{2,3,4},{5}}=>{{1},{2},{3,4,7},{5},{6}}=>[3,1,1,1,1] {{1,2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6,7}}=>{{1,3},{2},{4,7},{5},{6}}=>[2,2,1,1,1] {{1,2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6,7}}=>{{1,3,4},{2},{5},{6},{7}}=>[3,1,1,1,1] {{1,2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6,7}}=>{{1,3,4,7},{2},{5},{6}}=>[4,1,1,1] {{1,2,7},{3},{4,5},{6}}=>{{1,6,7},{2},{3,4},{5}}=>{{1},{2},{3,4,6,7},{5}}=>[4,1,1,1] {{1,2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6,7}}=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,1] {{1,2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6,7}}=>{{1,3,4},{2},{5},{6,7}}=>[3,2,1,1] {{1,2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6,7}}=>{{1,3,4,6},{2},{5},{7}}=>[4,1,1,1] {{1,2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6,7}}=>{{1,3,4,6,7},{2},{5}}=>[5,1,1] {{1,2,6,7},{3},{4},{5}}=>{{1,2,6,7},{3},{4},{5}}=>{{1},{2},{3,4,5,6},{7}}=>[4,1,1,1] {{1,2,6},{3,7},{4},{5}}=>{{1,5},{2,6,7},{3},{4}}=>{{1,4,5,6},{2},{3,7}}=>[4,2,1] {{1,2,6},{3},{4,7},{5}}=>{{1,4},{2,6,7},{3},{5}}=>{{1,5,6},{2},{3,4,7}}=>[3,3,1] {{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,6,7},{4},{5}}=>{{1,6},{2},{3,4,5,7}}=>[4,2,1] {{1,2,6},{3},{4},{5},{7}}=>{{1},{2,6,7},{3},{4},{5}}=>{{1,7},{2},{3,4,5,6}}=>[4,2,1] {{1,2,7},{3,6},{4},{5}}=>{{1,6,7},{2,5},{3},{4}}=>{{1},{2},{3,7},{4,5,6}}=>[3,2,1,1] {{1,2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6,7}}=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,1] {{1,2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6,7}}=>{{1,3,5,6},{2},{4,7}}=>[4,2,1] {{1,2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6,7}}=>{{1,3,6},{2},{4,5,7}}=>[3,3,1] {{1,2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6,7}}=>{{1,3,7},{2},{4,5,6}}=>[3,3,1] {{1,2,7},{3},{4,6},{5}}=>{{1,6,7},{2,4},{3},{5}}=>{{1},{2},{3,4,7},{5,6}}=>[3,2,1,1] {{1,2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6,7}}=>{{1,3},{2},{4,7},{5,6}}=>[2,2,2,1] {{1,2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6,7}}=>{{1,3,4},{2},{5,6},{7}}=>[3,2,1,1] {{1,2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6,7}}=>{{1,3,4,6},{2},{5,7}}=>[4,2,1] {{1,2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6,7}}=>{{1,3,4,7},{2},{5,6}}=>[4,2,1] {{1,2,7},{3},{4},{5,6}}=>{{1,6,7},{2,3},{4},{5}}=>{{1},{2},{3,4,5,7},{6}}=>[4,1,1,1] {{1,2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6,7}}=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,1] {{1,2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6,7}}=>{{1,3,4},{2},{5,7},{6}}=>[3,2,1,1] {{1,2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6,7}}=>{{1,3,4,5},{2},{6},{7}}=>[4,1,1,1] {{1,2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6,7}}=>{{1,3,4,5,7},{2},{6}}=>[5,1,1] {{1,2,7},{3},{4},{5},{6}}=>{{1,6,7},{2},{3},{4},{5}}=>{{1},{2},{3,4,5,6,7}}=>[5,1,1] {{1,2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6,7}}=>{{1,3},{2},{4,5,6,7}}=>[4,2,1] {{1,2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6,7}}=>{{1,3,4},{2},{5,6,7}}=>[3,3,1] {{1,2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6,7}}=>{{1,3,4,5},{2},{6,7}}=>[4,2,1] {{1,2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6,7}}=>{{1,3,4,5,6},{2},{7}}=>[5,1,1] {{1,2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6,7}}=>{{1,3,4,5,6,7},{2}}=>[6,1] {{1,3,4,5,6,7},{2}}=>{{1,2,3,4,5,7},{6}}=>{{1},{2,3},{4},{5},{6},{7}}=>[2,1,1,1,1,1] {{1,3,4,5,6},{2,7}}=>{{1,6},{2,3,4,5,7}}=>{{1,3},{2,7},{4},{5},{6}}=>[2,2,1,1,1] {{1,3,4,5,6},{2},{7}}=>{{1},{2,3,4,5,7},{6}}=>{{1,7},{2,3},{4},{5},{6}}=>[2,2,1,1,1] {{1,3,4,5,7},{2,6}}=>{{1,3,4,5,7},{2,6}}=>{{1},{2,6},{3,7},{4},{5}}=>[2,2,1,1,1] {{1,3,4,5},{2,6,7}}=>{{1,2,6},{3,4,5,7}}=>{{1,3},{2,6},{4},{5},{7}}=>[2,2,1,1,1] {{1,3,4,5},{2,6},{7}}=>{{1},{2,6},{3,4,5,7}}=>{{1,3,7},{2,6},{4},{5}}=>[3,2,1,1] {{1,3,4,5,7},{2},{6}}=>{{1,3,4,5,7},{2},{6}}=>{{1},{2,3},{4},{5},{6,7}}=>[2,2,1,1,1] {{1,3,4,5},{2,7},{6}}=>{{1,6},{2},{3,4,5,7}}=>{{1,3},{2,6,7},{4},{5}}=>[3,2,1,1] {{1,3,4,5},{2},{6,7}}=>{{1,2},{3,4,5,7},{6}}=>{{1,6},{2,3},{4},{5},{7}}=>[2,2,1,1,1] {{1,3,4,5},{2},{6},{7}}=>{{1},{2},{3,4,5,7},{6}}=>{{1,6,7},{2,3},{4},{5}}=>[3,2,1,1] {{1,3,4,6,7},{2,5}}=>{{1,2,4,5,7},{3,6}}=>{{1},{2,5},{3,6},{4},{7}}=>[2,2,1,1,1] {{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,5,7}}=>{{1,3,6},{2,5,7},{4}}=>[3,3,1] {{1,3,4,6},{2,5},{7}}=>{{1},{2,4,5,7},{3,6}}=>{{1,7},{2,5},{3,6},{4}}=>[2,2,2,1] {{1,3,4,7},{2,5,6}}=>{{1,4,5,7},{2,3,6}}=>{{1},{2,5},{3,7},{4},{6}}=>[2,2,1,1,1] {{1,3,4},{2,5,6,7}}=>{{1,2,3,6},{4,5,7}}=>{{1,3},{2,5},{4},{6},{7}}=>[2,2,1,1,1] {{1,3,4},{2,5,6},{7}}=>{{1},{2,3,6},{4,5,7}}=>{{1,3,7},{2,5},{4},{6}}=>[3,2,1,1] {{1,3,4,7},{2,5},{6}}=>{{1,4,5,7},{2},{3,6}}=>{{1},{2,5},{3,6,7},{4}}=>[3,2,1,1] {{1,3,4},{2,5,7},{6}}=>{{1,3,6},{2},{4,5,7}}=>{{1,3},{2,5},{4},{6,7}}=>[2,2,2,1] {{1,3,4},{2,5},{6,7}}=>{{1,2},{3,6},{4,5,7}}=>{{1,3,6},{2,5},{4},{7}}=>[3,2,1,1] {{1,3,4},{2,5},{6},{7}}=>{{1},{2},{3,6},{4,5,7}}=>{{1,3,6,7},{2,5},{4}}=>[4,2,1] {{1,3,4,6,7},{2},{5}}=>{{1,2,4,5,7},{3},{6}}=>{{1},{2,3},{4},{5,6},{7}}=>[2,2,1,1,1] {{1,3,4,6},{2,7},{5}}=>{{1,6},{2,4,5,7},{3}}=>{{1,3},{2,7},{4},{5,6}}=>[2,2,2,1] {{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4,5,7},{6}}=>{{1,6},{2,3},{4},{5,7}}=>[2,2,2,1] {{1,3,4,6},{2},{5},{7}}=>{{1},{2,4,5,7},{3},{6}}=>{{1,7},{2,3},{4},{5,6}}=>[2,2,2,1] {{1,3,4,7},{2,6},{5}}=>{{1,4,5,7},{2,6},{3}}=>{{1},{2,5,6},{3,7},{4}}=>[3,2,1,1] {{1,3,4},{2,6,7},{5}}=>{{1,2,6},{3},{4,5,7}}=>{{1,3},{2,5,6},{4},{7}}=>[3,2,1,1] {{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,5,7}}=>{{1,3},{2,6},{4},{5,7}}=>[2,2,2,1] {{1,3,4},{2,6},{5},{7}}=>{{1},{2,6},{3},{4,5,7}}=>{{1,3,7},{2,5,6},{4}}=>[3,3,1] {{1,3,4,7},{2},{5,6}}=>{{1,4,5,7},{2,3},{6}}=>{{1},{2,3},{4},{5,7},{6}}=>[2,2,1,1,1] {{1,3,4},{2,7},{5,6}}=>{{1,6},{2,3},{4,5,7}}=>{{1,3},{2,5,7},{4},{6}}=>[3,2,1,1] {{1,3,4},{2},{5,6,7}}=>{{1,2,3},{4,5,7},{6}}=>{{1,5},{2,3},{4},{6},{7}}=>[2,2,1,1,1] {{1,3,4},{2},{5,6},{7}}=>{{1},{2,3},{4,5,7},{6}}=>{{1,5,7},{2,3},{4},{6}}=>[3,2,1,1] {{1,3,4,7},{2},{5},{6}}=>{{1,4,5,7},{2},{3},{6}}=>{{1},{2,3},{4},{5,6,7}}=>[3,2,1,1] {{1,3,4},{2,7},{5},{6}}=>{{1,6},{2},{3},{4,5,7}}=>{{1,3},{2,5,6,7},{4}}=>[4,2,1] {{1,3,4},{2},{5,7},{6}}=>{{1,3},{2},{4,5,7},{6}}=>{{1,5},{2,3},{4},{6,7}}=>[2,2,2,1] {{1,3,4},{2},{5},{6,7}}=>{{1,2},{3},{4,5,7},{6}}=>{{1,5,6},{2,3},{4},{7}}=>[3,2,1,1] {{1,3,4},{2},{5},{6},{7}}=>{{1},{2},{3},{4,5,7},{6}}=>{{1,5,6,7},{2,3},{4}}=>[4,2,1] {{1,3,5,6,7},{2,4}}=>{{1,2,3,5,7},{4,6}}=>{{1},{2,4},{3,5},{6},{7}}=>[2,2,1,1,1] {{1,3,5,6},{2,4,7}}=>{{1,4,6},{2,3,5,7}}=>{{1,3,5},{2,4,7},{6}}=>[3,3,1] {{1,3,5,6},{2,4},{7}}=>{{1},{2,3,5,7},{4,6}}=>{{1,7},{2,4},{3,5},{6}}=>[2,2,2,1] {{1,3,5,7},{2,4,6}}=>{{1,3,5,7},{2,4,6}}=>{{1},{2,4,6},{3,5,7}}=>[3,3,1] {{1,3,5},{2,4,6,7}}=>{{1,2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}}=>[3,3,1] {{1,3,5},{2,4,6},{7}}=>{{1},{2,4,6},{3,5,7}}=>{{1,3,5,7},{2,4,6}}=>[4,3] {{1,3,5,7},{2,4},{6}}=>{{1,3,5,7},{2},{4,6}}=>{{1},{2,4},{3,5},{6,7}}=>[2,2,2,1] {{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,6,7}}=>[4,3] {{1,3,5},{2,4},{6,7}}=>{{1,2},{3,5,7},{4,6}}=>{{1,6},{2,4},{3,5},{7}}=>[2,2,2,1] {{1,3,5},{2,4},{6},{7}}=>{{1},{2},{3,5,7},{4,6}}=>{{1,6,7},{2,4},{3,5}}=>[3,2,2] {{1,3,6,7},{2,4,5}}=>{{1,2,5,7},{3,4,6}}=>{{1},{2,4},{3,6},{5},{7}}=>[2,2,1,1,1] {{1,3,6},{2,4,5,7}}=>{{1,3,4,6},{2,5,7}}=>{{1,3,6},{2,4,7},{5}}=>[3,3,1] {{1,3,6},{2,4,5},{7}}=>{{1},{2,5,7},{3,4,6}}=>{{1,7},{2,4},{3,6},{5}}=>[2,2,2,1] {{1,3,7},{2,4,5,6}}=>{{1,5,7},{2,3,4,6}}=>{{1},{2,4},{3,7},{5},{6}}=>[2,2,1,1,1] {{1,3},{2,4,5,6,7}}=>{{1,2,3,4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}}=>[2,2,1,1,1] {{1,3},{2,4,5,6},{7}}=>{{1},{2,3,4,6},{5,7}}=>{{1,3,7},{2,4},{5},{6}}=>[3,2,1,1] {{1,3,7},{2,4,5},{6}}=>{{1,5,7},{2},{3,4,6}}=>{{1},{2,4},{3,6,7},{5}}=>[3,2,1,1] {{1,3},{2,4,5,7},{6}}=>{{1,3,4,6},{2},{5,7}}=>{{1,3},{2,4},{5},{6,7}}=>[2,2,2,1] {{1,3},{2,4,5},{6,7}}=>{{1,2},{3,4,6},{5,7}}=>{{1,3,6},{2,4},{5},{7}}=>[3,2,1,1] {{1,3},{2,4,5},{6},{7}}=>{{1},{2},{3,4,6},{5,7}}=>{{1,3,6,7},{2,4},{5}}=>[4,2,1] {{1,3,6,7},{2,4},{5}}=>{{1,2,5,7},{3},{4,6}}=>{{1},{2,4},{3,5,6},{7}}=>[3,2,1,1] {{1,3,6},{2,4,7},{5}}=>{{1,4,6},{2,5,7},{3}}=>{{1,3,5,6},{2,4,7}}=>[4,3] {{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>[3,2,2] {{1,3,6},{2,4},{5},{7}}=>{{1},{2,5,7},{3},{4,6}}=>{{1,7},{2,4},{3,5,6}}=>[3,2,2] {{1,3,7},{2,4,6},{5}}=>{{1,5,7},{2,4,6},{3}}=>{{1},{2,4},{3,7},{5,6}}=>[2,2,2,1] {{1,3},{2,4,6,7},{5}}=>{{1,2,4,6},{3},{5,7}}=>{{1,3},{2,4},{5,6},{7}}=>[2,2,2,1] {{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}=>{{1,3},{2,4,6},{5,7}}=>[3,2,2] {{1,3},{2,4,6},{5},{7}}=>{{1},{2,4,6},{3},{5,7}}=>{{1,3,7},{2,4},{5,6}}=>[3,2,2] {{1,3,7},{2,4},{5,6}}=>{{1,5,7},{2,3},{4,6}}=>{{1},{2,4},{3,5,7},{6}}=>[3,2,1,1] {{1,3},{2,4,7},{5,6}}=>{{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4},{5,7},{6}}=>[2,2,2,1] {{1,3},{2,4},{5,6,7}}=>{{1,2,3},{4,6},{5,7}}=>{{1,3,5},{2,4},{6},{7}}=>[3,2,1,1] {{1,3},{2,4},{5,6},{7}}=>{{1},{2,3},{4,6},{5,7}}=>{{1,3,5,7},{2,4},{6}}=>[4,2,1] {{1,3,7},{2,4},{5},{6}}=>{{1,5,7},{2},{3},{4,6}}=>{{1},{2,4},{3,5,6,7}}=>[4,2,1] {{1,3},{2,4,7},{5},{6}}=>{{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4},{5,6,7}}=>[3,2,2] {{1,3},{2,4},{5,7},{6}}=>{{1,3},{2},{4,6},{5,7}}=>{{1,3,5},{2,4},{6,7}}=>[3,2,2] {{1,3},{2,4},{5},{6,7}}=>{{1,2},{3},{4,6},{5,7}}=>{{1,3,5,6},{2,4},{7}}=>[4,2,1] {{1,3},{2,4},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5,7}}=>{{1,3,5,6,7},{2,4}}=>[5,2] {{1,3,5,6,7},{2},{4}}=>{{1,2,3,5,7},{4},{6}}=>{{1},{2,3},{4,5},{6},{7}}=>[2,2,1,1,1] {{1,3,5,6},{2,7},{4}}=>{{1,6},{2,3,5,7},{4}}=>{{1,3},{2,7},{4,5},{6}}=>[2,2,2,1] {{1,3,5,6},{2},{4,7}}=>{{1,4},{2,3,5,7},{6}}=>{{1,5},{2,3},{4,7},{6}}=>[2,2,2,1] {{1,3,5,6},{2},{4},{7}}=>{{1},{2,3,5,7},{4},{6}}=>{{1,7},{2,3},{4,5},{6}}=>[2,2,2,1] {{1,3,5,7},{2,6},{4}}=>{{1,3,5,7},{2,6},{4}}=>{{1},{2,6},{3,7},{4,5}}=>[2,2,2,1] {{1,3,5},{2,6,7},{4}}=>{{1,2,6},{3,5,7},{4}}=>{{1,3},{2,6},{4,5},{7}}=>[2,2,2,1] {{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}=>[3,2,2] {{1,3,5},{2,6},{4},{7}}=>{{1},{2,6},{3,5,7},{4}}=>{{1,3,7},{2,6},{4,5}}=>[3,2,2] {{1,3,5,7},{2},{4,6}}=>{{1,3,5,7},{2,4},{6}}=>{{1},{2,3},{4,6},{5,7}}=>[2,2,2,1] {{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}=>[3,2,2] {{1,3,5},{2},{4,6,7}}=>{{1,2,4},{3,5,7},{6}}=>{{1,5},{2,3},{4,6},{7}}=>[2,2,2,1] {{1,3,5},{2},{4,6},{7}}=>{{1},{2,4},{3,5,7},{6}}=>{{1,5,7},{2,3},{4,6}}=>[3,2,2] {{1,3,5,7},{2},{4},{6}}=>{{1,3,5,7},{2},{4},{6}}=>{{1},{2,3},{4,5},{6,7}}=>[2,2,2,1] {{1,3,5},{2,7},{4},{6}}=>{{1,6},{2},{3,5,7},{4}}=>{{1,3},{2,6,7},{4,5}}=>[3,2,2] {{1,3,5},{2},{4,7},{6}}=>{{1,4},{2},{3,5,7},{6}}=>{{1,5},{2,3},{4,6,7}}=>[3,2,2] {{1,3,5},{2},{4},{6,7}}=>{{1,2},{3,5,7},{4},{6}}=>{{1,6},{2,3},{4,5},{7}}=>[2,2,2,1] {{1,3,5},{2},{4},{6},{7}}=>{{1},{2},{3,5,7},{4},{6}}=>{{1,6,7},{2,3},{4,5}}=>[3,2,2] {{1,3,6,7},{2,5},{4}}=>{{1,2,5,7},{3,6},{4}}=>{{1},{2,4,5},{3,6},{7}}=>[3,2,1,1] {{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,5,7},{4}}=>{{1,3,6},{2,4,5,7}}=>[4,3] {{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>[3,2,2] {{1,3,6},{2,5},{4},{7}}=>{{1},{2,5,7},{3,6},{4}}=>{{1,7},{2,4,5},{3,6}}=>[3,2,2] {{1,3,7},{2,5,6},{4}}=>{{1,5,7},{2,3,6},{4}}=>{{1},{2,4,5},{3,7},{6}}=>[3,2,1,1] {{1,3},{2,5,6,7},{4}}=>{{1,2,3,6},{4},{5,7}}=>{{1,3},{2,4,5},{6},{7}}=>[3,2,1,1] {{1,3},{2,5,6},{4,7}}=>{{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}=>[2,2,2,1] {{1,3},{2,5,6},{4},{7}}=>{{1},{2,3,6},{4},{5,7}}=>{{1,3,7},{2,4,5},{6}}=>[3,3,1] {{1,3,7},{2,5},{4,6}}=>{{1,5,7},{2,4},{3,6}}=>{{1},{2,5},{3,7},{4,6}}=>[2,2,2,1] {{1,3},{2,5,7},{4,6}}=>{{1,3,6},{2,4},{5,7}}=>{{1,3},{2,5,7},{4,6}}=>[3,2,2] {{1,3},{2,5},{4,6,7}}=>{{1,2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}}=>[2,2,2,1] {{1,3},{2,5},{4,6},{7}}=>{{1},{2,4},{3,6},{5,7}}=>{{1,3,7},{2,5},{4,6}}=>[3,2,2] {{1,3,7},{2,5},{4},{6}}=>{{1,5,7},{2},{3,6},{4}}=>{{1},{2,4,5},{3,6,7}}=>[3,3,1] {{1,3},{2,5,7},{4},{6}}=>{{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,4,5},{6,7}}=>[3,2,2] {{1,3},{2,5},{4,7},{6}}=>{{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,6,7}}=>[3,2,2] {{1,3},{2,5},{4},{6,7}}=>{{1,2},{3,6},{4},{5,7}}=>{{1,3,6},{2,4,5},{7}}=>[3,3,1] {{1,3},{2,5},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5,7}}=>{{1,3,6,7},{2,4,5}}=>[4,3] {{1,3,6,7},{2},{4,5}}=>{{1,2,5,7},{3,4},{6}}=>{{1},{2,3},{4,6},{5},{7}}=>[2,2,1,1,1] {{1,3,6},{2,7},{4,5}}=>{{1,6},{2,5,7},{3,4}}=>{{1,3},{2,7},{4,6},{5}}=>[2,2,2,1] {{1,3,6},{2},{4,5,7}}=>{{1,3,4},{2,5,7},{6}}=>{{1,6},{2,3},{4,7},{5}}=>[2,2,2,1] {{1,3,6},{2},{4,5},{7}}=>{{1},{2,5,7},{3,4},{6}}=>{{1,7},{2,3},{4,6},{5}}=>[2,2,2,1] {{1,3,7},{2,6},{4,5}}=>{{1,5,7},{2,6},{3,4}}=>{{1},{2,4,6},{3,7},{5}}=>[3,2,1,1] {{1,3},{2,6,7},{4,5}}=>{{1,2,6},{3,4},{5,7}}=>{{1,3},{2,4,6},{5},{7}}=>[3,2,1,1] {{1,3},{2,6},{4,5,7}}=>{{1,3,4},{2,6},{5,7}}=>{{1,3},{2,6},{4,7},{5}}=>[2,2,2,1] {{1,3},{2,6},{4,5},{7}}=>{{1},{2,6},{3,4},{5,7}}=>{{1,3,7},{2,4,6},{5}}=>[3,3,1] {{1,3,7},{2},{4,5,6}}=>{{1,5,7},{2,3,4},{6}}=>{{1},{2,3},{4,7},{5},{6}}=>[2,2,1,1,1] {{1,3},{2,7},{4,5,6}}=>{{1,6},{2,3,4},{5,7}}=>{{1,3},{2,4,7},{5},{6}}=>[3,2,1,1] {{1,3},{2},{4,5,6,7}}=>{{1,2,3,4},{5,7},{6}}=>{{1,4},{2,3},{5},{6},{7}}=>[2,2,1,1,1] {{1,3},{2},{4,5,6},{7}}=>{{1},{2,3,4},{5,7},{6}}=>{{1,4,7},{2,3},{5},{6}}=>[3,2,1,1] {{1,3,7},{2},{4,5},{6}}=>{{1,5,7},{2},{3,4},{6}}=>{{1},{2,3},{4,6,7},{5}}=>[3,2,1,1] {{1,3},{2,7},{4,5},{6}}=>{{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,4,6,7},{5}}=>[4,2,1] {{1,3},{2},{4,5,7},{6}}=>{{1,3,4},{2},{5,7},{6}}=>{{1,4},{2,3},{5},{6,7}}=>[2,2,2,1] {{1,3},{2},{4,5},{6,7}}=>{{1,2},{3,4},{5,7},{6}}=>{{1,4,6},{2,3},{5},{7}}=>[3,2,1,1] {{1,3},{2},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,7},{6}}=>{{1,4,6,7},{2,3},{5}}=>[4,2,1] {{1,3,6,7},{2},{4},{5}}=>{{1,2,5,7},{3},{4},{6}}=>{{1},{2,3},{4,5,6},{7}}=>[3,2,1,1] {{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,5,7},{3},{4}}=>{{1,3},{2,7},{4,5,6}}=>[3,2,2] {{1,3,6},{2},{4,7},{5}}=>{{1,4},{2,5,7},{3},{6}}=>{{1,5,6},{2,3},{4,7}}=>[3,2,2] {{1,3,6},{2},{4},{5,7}}=>{{1,3},{2,5,7},{4},{6}}=>{{1,6},{2,3},{4,5,7}}=>[3,2,2] {{1,3,6},{2},{4},{5},{7}}=>{{1},{2,5,7},{3},{4},{6}}=>{{1,7},{2,3},{4,5,6}}=>[3,2,2] {{1,3,7},{2,6},{4},{5}}=>{{1,5,7},{2,6},{3},{4}}=>{{1},{2,4,5,6},{3,7}}=>[4,2,1] {{1,3},{2,6,7},{4},{5}}=>{{1,2,6},{3},{4},{5,7}}=>{{1,3},{2,4,5,6},{7}}=>[4,2,1] {{1,3},{2,6},{4,7},{5}}=>{{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,5,6},{4,7}}=>[3,2,2] {{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4},{5,7}}=>{{1,3},{2,6},{4,5,7}}=>[3,2,2] {{1,3},{2,6},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5,7}}=>{{1,3,7},{2,4,5,6}}=>[4,3] {{1,3,7},{2},{4,6},{5}}=>{{1,5,7},{2,4},{3},{6}}=>{{1},{2,3},{4,7},{5,6}}=>[2,2,2,1] {{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,4,7},{5,6}}=>[3,2,2] {{1,3},{2},{4,6,7},{5}}=>{{1,2,4},{3},{5,7},{6}}=>{{1,4},{2,3},{5,6},{7}}=>[2,2,2,1] {{1,3},{2},{4,6},{5,7}}=>{{1,3},{2,4},{5,7},{6}}=>{{1,4,6},{2,3},{5,7}}=>[3,2,2] {{1,3},{2},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,7},{6}}=>{{1,4,7},{2,3},{5,6}}=>[3,2,2] {{1,3,7},{2},{4},{5,6}}=>{{1,5,7},{2,3},{4},{6}}=>{{1},{2,3},{4,5,7},{6}}=>[3,2,1,1] {{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,4,5,7},{6}}=>[4,2,1] {{1,3},{2},{4,7},{5,6}}=>{{1,4},{2,3},{5,7},{6}}=>{{1,4},{2,3},{5,7},{6}}=>[2,2,2,1] {{1,3},{2},{4},{5,6,7}}=>{{1,2,3},{4},{5,7},{6}}=>{{1,4,5},{2,3},{6},{7}}=>[3,2,1,1] {{1,3},{2},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,7},{6}}=>{{1,4,5,7},{2,3},{6}}=>[4,2,1] {{1,3,7},{2},{4},{5},{6}}=>{{1,5,7},{2},{3},{4},{6}}=>{{1},{2,3},{4,5,6,7}}=>[4,2,1] {{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,4,5,6,7}}=>[5,2] {{1,3},{2},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,7},{6}}=>{{1,4},{2,3},{5,6,7}}=>[3,2,2] {{1,3},{2},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,7},{6}}=>{{1,4,5},{2,3},{6,7}}=>[3,2,2] {{1,3},{2},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,7},{6}}=>{{1,4,5,6},{2,3},{7}}=>[4,2,1] {{1,3},{2},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,7},{6}}=>{{1,4,5,6,7},{2,3}}=>[5,2] {{1,4,5,6,7},{2,3}}=>{{1,2,3,4,7},{5,6}}=>{{1},{2,4},{3},{5},{6},{7}}=>[2,1,1,1,1,1] {{1,4,5,6},{2,3,7}}=>{{1,5,6},{2,3,4,7}}=>{{1,4},{2,7},{3},{5},{6}}=>[2,2,1,1,1] {{1,4,5,6},{2,3},{7}}=>{{1},{2,3,4,7},{5,6}}=>{{1,7},{2,4},{3},{5},{6}}=>[2,2,1,1,1] {{1,4,5,7},{2,3,6}}=>{{1,3,4,7},{2,5,6}}=>{{1},{2,6},{3},{4,7},{5}}=>[2,2,1,1,1] {{1,4,5},{2,3,6,7}}=>{{1,2,5,6},{3,4,7}}=>{{1,4},{2,6},{3},{5},{7}}=>[2,2,1,1,1] {{1,4,5},{2,3,6},{7}}=>{{1},{2,5,6},{3,4,7}}=>{{1,4,7},{2,6},{3},{5}}=>[3,2,1,1] {{1,4,5,7},{2,3},{6}}=>{{1,3,4,7},{2},{5,6}}=>{{1},{2,4},{3},{5},{6,7}}=>[2,2,1,1,1] {{1,4,5},{2,3,7},{6}}=>{{1,5,6},{2},{3,4,7}}=>{{1,4},{2,6,7},{3},{5}}=>[3,2,1,1] {{1,4,5},{2,3},{6,7}}=>{{1,2},{3,4,7},{5,6}}=>{{1,6},{2,4},{3},{5},{7}}=>[2,2,1,1,1] {{1,4,5},{2,3},{6},{7}}=>{{1},{2},{3,4,7},{5,6}}=>{{1,6,7},{2,4},{3},{5}}=>[3,2,1,1] {{1,4,6,7},{2,3,5}}=>{{1,2,4,7},{3,5,6}}=>{{1},{2,5},{3},{4,6},{7}}=>[2,2,1,1,1] {{1,4,6},{2,3,5,7}}=>{{1,3,5,6},{2,4,7}}=>{{1,4,6},{2,5,7},{3}}=>[3,3,1] {{1,4,6},{2,3,5},{7}}=>{{1},{2,4,7},{3,5,6}}=>{{1,7},{2,5},{3},{4,6}}=>[2,2,2,1] {{1,4,7},{2,3,5,6}}=>{{1,4,7},{2,3,5,6}}=>{{1},{2,5},{3},{4,7},{6}}=>[2,2,1,1,1] {{1,4},{2,3,5,6,7}}=>{{1,2,3,5,6},{4,7}}=>{{1,4},{2,5},{3},{6},{7}}=>[2,2,1,1,1] {{1,4},{2,3,5,6},{7}}=>{{1},{2,3,5,6},{4,7}}=>{{1,4,7},{2,5},{3},{6}}=>[3,2,1,1] {{1,4,7},{2,3,5},{6}}=>{{1,4,7},{2},{3,5,6}}=>{{1},{2,5},{3},{4,6,7}}=>[3,2,1,1] {{1,4},{2,3,5,7},{6}}=>{{1,3,5,6},{2},{4,7}}=>{{1,4},{2,5},{3},{6,7}}=>[2,2,2,1] {{1,4},{2,3,5},{6,7}}=>{{1,2},{3,5,6},{4,7}}=>{{1,4,6},{2,5},{3},{7}}=>[3,2,1,1] {{1,4},{2,3,5},{6},{7}}=>{{1},{2},{3,5,6},{4,7}}=>{{1,4,6,7},{2,5},{3}}=>[4,2,1] {{1,4,6,7},{2,3},{5}}=>{{1,2,4,7},{3},{5,6}}=>{{1},{2,4},{3},{5,6},{7}}=>[2,2,1,1,1] {{1,4,6},{2,3,7},{5}}=>{{1,5,6},{2,4,7},{3}}=>{{1,4},{2,7},{3},{5,6}}=>[2,2,2,1] {{1,4,6},{2,3},{5,7}}=>{{1,3},{2,4,7},{5,6}}=>{{1,6},{2,4},{3},{5,7}}=>[2,2,2,1] {{1,4,6},{2,3},{5},{7}}=>{{1},{2,4,7},{3},{5,6}}=>{{1,7},{2,4},{3},{5,6}}=>[2,2,2,1] {{1,4,7},{2,3,6},{5}}=>{{1,4,7},{2,5,6},{3}}=>{{1},{2,5,6},{3},{4,7}}=>[3,2,1,1] {{1,4},{2,3,6,7},{5}}=>{{1,2,5,6},{3},{4,7}}=>{{1,4},{2,5,6},{3},{7}}=>[3,2,1,1] {{1,4},{2,3,6},{5,7}}=>{{1,3},{2,5,6},{4,7}}=>{{1,4},{2,6},{3},{5,7}}=>[2,2,2,1] {{1,4},{2,3,6},{5},{7}}=>{{1},{2,5,6},{3},{4,7}}=>{{1,4,7},{2,5,6},{3}}=>[3,3,1] {{1,4,7},{2,3},{5,6}}=>{{1,4,7},{2,3},{5,6}}=>{{1},{2,4},{3},{5,7},{6}}=>[2,2,1,1,1] {{1,4},{2,3,7},{5,6}}=>{{1,5,6},{2,3},{4,7}}=>{{1,4},{2,5,7},{3},{6}}=>[3,2,1,1] {{1,4},{2,3},{5,6,7}}=>{{1,2,3},{4,7},{5,6}}=>{{1,5},{2,4},{3},{6},{7}}=>[2,2,1,1,1] {{1,4},{2,3},{5,6},{7}}=>{{1},{2,3},{4,7},{5,6}}=>{{1,5,7},{2,4},{3},{6}}=>[3,2,1,1] {{1,4,7},{2,3},{5},{6}}=>{{1,4,7},{2},{3},{5,6}}=>{{1},{2,4},{3},{5,6,7}}=>[3,2,1,1] {{1,4},{2,3,7},{5},{6}}=>{{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,5,6,7},{3}}=>[4,2,1] {{1,4},{2,3},{5,7},{6}}=>{{1,3},{2},{4,7},{5,6}}=>{{1,5},{2,4},{3},{6,7}}=>[2,2,2,1] {{1,4},{2,3},{5},{6,7}}=>{{1,2},{3},{4,7},{5,6}}=>{{1,5,6},{2,4},{3},{7}}=>[3,2,1,1] {{1,4},{2,3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5,6}}=>{{1,5,6,7},{2,4},{3}}=>[4,2,1] {{1,5,6,7},{2,3,4}}=>{{1,2,3,7},{4,5,6}}=>{{1},{2,5},{3},{4},{6},{7}}=>[2,1,1,1,1,1] {{1,5,6},{2,3,4,7}}=>{{1,4,5,6},{2,3,7}}=>{{1,5},{2,7},{3},{4},{6}}=>[2,2,1,1,1] {{1,5,6},{2,3,4},{7}}=>{{1},{2,3,7},{4,5,6}}=>{{1,7},{2,5},{3},{4},{6}}=>[2,2,1,1,1] {{1,5,7},{2,3,4,6}}=>{{1,3,7},{2,4,5,6}}=>{{1},{2,6},{3},{4},{5,7}}=>[2,2,1,1,1] {{1,5},{2,3,4,6,7}}=>{{1,2,4,5,6},{3,7}}=>{{1,5},{2,6},{3},{4},{7}}=>[2,2,1,1,1] {{1,5},{2,3,4,6},{7}}=>{{1},{2,4,5,6},{3,7}}=>{{1,5,7},{2,6},{3},{4}}=>[3,2,1,1] {{1,5,7},{2,3,4},{6}}=>{{1,3,7},{2},{4,5,6}}=>{{1},{2,5},{3},{4},{6,7}}=>[2,2,1,1,1] {{1,5},{2,3,4,7},{6}}=>{{1,4,5,6},{2},{3,7}}=>{{1,5},{2,6,7},{3},{4}}=>[3,2,1,1] {{1,5},{2,3,4},{6,7}}=>{{1,2},{3,7},{4,5,6}}=>{{1,6},{2,5},{3},{4},{7}}=>[2,2,1,1,1] {{1,5},{2,3,4},{6},{7}}=>{{1},{2},{3,7},{4,5,6}}=>{{1,6,7},{2,5},{3},{4}}=>[3,2,1,1] {{1,6,7},{2,3,4,5}}=>{{1,2,7},{3,4,5,6}}=>{{1},{2,6},{3},{4},{5},{7}}=>[2,1,1,1,1,1] {{1,6},{2,3,4,5,7}}=>{{1,3,4,5,6},{2,7}}=>{{1,6},{2,7},{3},{4},{5}}=>[2,2,1,1,1] {{1,6},{2,3,4,5},{7}}=>{{1},{2,7},{3,4,5,6}}=>{{1,7},{2,6},{3},{4},{5}}=>[2,2,1,1,1] {{1,7},{2,3,4,5,6}}=>{{1,7},{2,3,4,5,6}}=>{{1},{2,7},{3},{4},{5},{6}}=>[2,1,1,1,1,1] {{1},{2,3,4,5,6,7}}=>{{1,2,3,4,5,6},{7}}=>{{1,2},{3},{4},{5},{6},{7}}=>[2,1,1,1,1,1] {{1},{2,3,4,5,6},{7}}=>{{1},{2,3,4,5,6},{7}}=>{{1,2,7},{3},{4},{5},{6}}=>[3,1,1,1,1] {{1,7},{2,3,4,5},{6}}=>{{1,7},{2},{3,4,5,6}}=>{{1},{2,6,7},{3},{4},{5}}=>[3,1,1,1,1] {{1},{2,3,4,5,7},{6}}=>{{1,3,4,5,6},{2},{7}}=>{{1,2},{3},{4},{5},{6,7}}=>[2,2,1,1,1] {{1},{2,3,4,5},{6,7}}=>{{1,2},{3,4,5,6},{7}}=>{{1,2,6},{3},{4},{5},{7}}=>[3,1,1,1,1] {{1},{2,3,4,5},{6},{7}}=>{{1},{2},{3,4,5,6},{7}}=>{{1,2,6,7},{3},{4},{5}}=>[4,1,1,1] {{1,6,7},{2,3,4},{5}}=>{{1,2,7},{3},{4,5,6}}=>{{1},{2,5,6},{3},{4},{7}}=>[3,1,1,1,1] {{1,6},{2,3,4,7},{5}}=>{{1,4,5,6},{2,7},{3}}=>{{1,5,6},{2,7},{3},{4}}=>[3,2,1,1] {{1,6},{2,3,4},{5,7}}=>{{1,3},{2,7},{4,5,6}}=>{{1,6},{2,5,7},{3},{4}}=>[3,2,1,1] {{1,6},{2,3,4},{5},{7}}=>{{1},{2,7},{3},{4,5,6}}=>{{1,7},{2,5,6},{3},{4}}=>[3,2,1,1] {{1,7},{2,3,4,6},{5}}=>{{1,7},{2,4,5,6},{3}}=>{{1},{2,7},{3},{4},{5,6}}=>[2,2,1,1,1] {{1},{2,3,4,6,7},{5}}=>{{1,2,4,5,6},{3},{7}}=>{{1,2},{3},{4},{5,6},{7}}=>[2,2,1,1,1] {{1},{2,3,4,6},{5,7}}=>{{1,3},{2,4,5,6},{7}}=>{{1,2,6},{3},{4},{5,7}}=>[3,2,1,1] {{1},{2,3,4,6},{5},{7}}=>{{1},{2,4,5,6},{3},{7}}=>{{1,2,7},{3},{4},{5,6}}=>[3,2,1,1] {{1,7},{2,3,4},{5,6}}=>{{1,7},{2,3},{4,5,6}}=>{{1},{2,5,7},{3},{4},{6}}=>[3,1,1,1,1] {{1},{2,3,4,7},{5,6}}=>{{1,4,5,6},{2,3},{7}}=>{{1,2},{3},{4},{5,7},{6}}=>[2,2,1,1,1] {{1},{2,3,4},{5,6,7}}=>{{1,2,3},{4,5,6},{7}}=>{{1,2,5},{3},{4},{6},{7}}=>[3,1,1,1,1] {{1},{2,3,4},{5,6},{7}}=>{{1},{2,3},{4,5,6},{7}}=>{{1,2,5,7},{3},{4},{6}}=>[4,1,1,1] {{1,7},{2,3,4},{5},{6}}=>{{1,7},{2},{3},{4,5,6}}=>{{1},{2,5,6,7},{3},{4}}=>[4,1,1,1] {{1},{2,3,4,7},{5},{6}}=>{{1,4,5,6},{2},{3},{7}}=>{{1,2},{3},{4},{5,6,7}}=>[3,2,1,1] {{1},{2,3,4},{5,7},{6}}=>{{1,3},{2},{4,5,6},{7}}=>{{1,2,5},{3},{4},{6,7}}=>[3,2,1,1] {{1},{2,3,4},{5},{6,7}}=>{{1,2},{3},{4,5,6},{7}}=>{{1,2,5,6},{3},{4},{7}}=>[4,1,1,1] {{1},{2,3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5,6},{7}}=>{{1,2,5,6,7},{3},{4}}=>[5,1,1] {{1,5,6,7},{2,3},{4}}=>{{1,2,3,7},{4},{5,6}}=>{{1},{2,4,5},{3},{6},{7}}=>[3,1,1,1,1] {{1,5,6},{2,3,7},{4}}=>{{1,5,6},{2,3,7},{4}}=>{{1,4,5},{2,7},{3},{6}}=>[3,2,1,1] {{1,5,6},{2,3},{4,7}}=>{{1,4},{2,3,7},{5,6}}=>{{1,5},{2,4,7},{3},{6}}=>[3,2,1,1] {{1,5,6},{2,3},{4},{7}}=>{{1},{2,3,7},{4},{5,6}}=>{{1,7},{2,4,5},{3},{6}}=>[3,2,1,1] {{1,5,7},{2,3,6},{4}}=>{{1,3,7},{2,5,6},{4}}=>{{1},{2,6},{3},{4,5,7}}=>[3,2,1,1] {{1,5},{2,3,6,7},{4}}=>{{1,2,5,6},{3,7},{4}}=>{{1,4,5},{2,6},{3},{7}}=>[3,2,1,1] {{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5,6},{3,7}}=>{{1,5},{2,6},{3},{4,7}}=>[2,2,2,1] {{1,5},{2,3,6},{4},{7}}=>{{1},{2,5,6},{3,7},{4}}=>{{1,4,5,7},{2,6},{3}}=>[4,2,1] {{1,5,7},{2,3},{4,6}}=>{{1,3,7},{2,4},{5,6}}=>{{1},{2,4,6},{3},{5,7}}=>[3,2,1,1] {{1,5},{2,3,7},{4,6}}=>{{1,5,6},{2,4},{3,7}}=>{{1,5},{2,7},{3},{4,6}}=>[2,2,2,1] {{1,5},{2,3},{4,6,7}}=>{{1,2,4},{3,7},{5,6}}=>{{1,5},{2,4,6},{3},{7}}=>[3,2,1,1] {{1,5},{2,3},{4,6},{7}}=>{{1},{2,4},{3,7},{5,6}}=>{{1,5,7},{2,4,6},{3}}=>[3,3,1] {{1,5,7},{2,3},{4},{6}}=>{{1,3,7},{2},{4},{5,6}}=>{{1},{2,4,5},{3},{6,7}}=>[3,2,1,1] {{1,5},{2,3,7},{4},{6}}=>{{1,5,6},{2},{3,7},{4}}=>{{1,4,5},{2,6,7},{3}}=>[3,3,1] {{1,5},{2,3},{4,7},{6}}=>{{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,4,6,7},{3}}=>[4,2,1] {{1,5},{2,3},{4},{6,7}}=>{{1,2},{3,7},{4},{5,6}}=>{{1,6},{2,4,5},{3},{7}}=>[3,2,1,1] {{1,5},{2,3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5,6}}=>{{1,6,7},{2,4,5},{3}}=>[3,3,1] {{1,6,7},{2,3,5},{4}}=>{{1,2,7},{3,5,6},{4}}=>{{1},{2,6},{3},{4,5},{7}}=>[2,2,1,1,1] {{1,6},{2,3,5,7},{4}}=>{{1,3,5,6},{2,7},{4}}=>{{1,6},{2,7},{3},{4,5}}=>[2,2,2,1] {{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5,6}}=>{{1,6},{2,5},{3},{4,7}}=>[2,2,2,1] {{1,6},{2,3,5},{4},{7}}=>{{1},{2,7},{3,5,6},{4}}=>{{1,7},{2,6},{3},{4,5}}=>[2,2,2,1] {{1,7},{2,3,5,6},{4}}=>{{1,7},{2,3,5,6},{4}}=>{{1},{2,7},{3},{4,5},{6}}=>[2,2,1,1,1] {{1},{2,3,5,6,7},{4}}=>{{1,2,3,5,6},{4},{7}}=>{{1,2},{3},{4,5},{6},{7}}=>[2,2,1,1,1] {{1},{2,3,5,6},{4,7}}=>{{1,4},{2,3,5,6},{7}}=>{{1,2,5},{3},{4,7},{6}}=>[3,2,1,1] {{1},{2,3,5,6},{4},{7}}=>{{1},{2,3,5,6},{4},{7}}=>{{1,2,7},{3},{4,5},{6}}=>[3,2,1,1] {{1,7},{2,3,5},{4,6}}=>{{1,7},{2,4},{3,5,6}}=>{{1},{2,5,7},{3},{4,6}}=>[3,2,1,1] {{1},{2,3,5,7},{4,6}}=>{{1,3,5,6},{2,4},{7}}=>{{1,2},{3},{4,6},{5,7}}=>[2,2,2,1] {{1},{2,3,5},{4,6,7}}=>{{1,2,4},{3,5,6},{7}}=>{{1,2,5},{3},{4,6},{7}}=>[3,2,1,1] {{1},{2,3,5},{4,6},{7}}=>{{1},{2,4},{3,5,6},{7}}=>{{1,2,5,7},{3},{4,6}}=>[4,2,1] {{1,7},{2,3,5},{4},{6}}=>{{1,7},{2},{3,5,6},{4}}=>{{1},{2,6,7},{3},{4,5}}=>[3,2,1,1] {{1},{2,3,5,7},{4},{6}}=>{{1,3,5,6},{2},{4},{7}}=>{{1,2},{3},{4,5},{6,7}}=>[2,2,2,1] {{1},{2,3,5},{4,7},{6}}=>{{1,4},{2},{3,5,6},{7}}=>{{1,2,5},{3},{4,6,7}}=>[3,3,1] {{1},{2,3,5},{4},{6,7}}=>{{1,2},{3,5,6},{4},{7}}=>{{1,2,6},{3},{4,5},{7}}=>[3,2,1,1] {{1},{2,3,5},{4},{6},{7}}=>{{1},{2},{3,5,6},{4},{7}}=>{{1,2,6,7},{3},{4,5}}=>[4,2,1] {{1,6,7},{2,3},{4,5}}=>{{1,2,7},{3,4},{5,6}}=>{{1},{2,4,6},{3},{5},{7}}=>[3,1,1,1,1] {{1,6},{2,3,7},{4,5}}=>{{1,5,6},{2,7},{3,4}}=>{{1,4,6},{2,7},{3},{5}}=>[3,2,1,1] {{1,6},{2,3},{4,5,7}}=>{{1,3,4},{2,7},{5,6}}=>{{1,6},{2,4,7},{3},{5}}=>[3,2,1,1] {{1,6},{2,3},{4,5},{7}}=>{{1},{2,7},{3,4},{5,6}}=>{{1,7},{2,4,6},{3},{5}}=>[3,2,1,1] {{1,7},{2,3,6},{4,5}}=>{{1,7},{2,5,6},{3,4}}=>{{1},{2,7},{3},{4,6},{5}}=>[2,2,1,1,1] {{1},{2,3,6,7},{4,5}}=>{{1,2,5,6},{3,4},{7}}=>{{1,2},{3},{4,6},{5},{7}}=>[2,2,1,1,1] {{1},{2,3,6},{4,5,7}}=>{{1,3,4},{2,5,6},{7}}=>{{1,2,6},{3},{4,7},{5}}=>[3,2,1,1] {{1},{2,3,6},{4,5},{7}}=>{{1},{2,5,6},{3,4},{7}}=>{{1,2,7},{3},{4,6},{5}}=>[3,2,1,1] {{1,7},{2,3},{4,5,6}}=>{{1,7},{2,3,4},{5,6}}=>{{1},{2,4,7},{3},{5},{6}}=>[3,1,1,1,1] {{1},{2,3,7},{4,5,6}}=>{{1,5,6},{2,3,4},{7}}=>{{1,2},{3},{4,7},{5},{6}}=>[2,2,1,1,1] {{1},{2,3},{4,5,6,7}}=>{{1,2,3,4},{5,6},{7}}=>{{1,2,4},{3},{5},{6},{7}}=>[3,1,1,1,1] {{1},{2,3},{4,5,6},{7}}=>{{1},{2,3,4},{5,6},{7}}=>{{1,2,4,7},{3},{5},{6}}=>[4,1,1,1] {{1,7},{2,3},{4,5},{6}}=>{{1,7},{2},{3,4},{5,6}}=>{{1},{2,4,6,7},{3},{5}}=>[4,1,1,1] {{1},{2,3,7},{4,5},{6}}=>{{1,5,6},{2},{3,4},{7}}=>{{1,2},{3},{4,6,7},{5}}=>[3,2,1,1] {{1},{2,3},{4,5,7},{6}}=>{{1,3,4},{2},{5,6},{7}}=>{{1,2,4},{3},{5},{6,7}}=>[3,2,1,1] {{1},{2,3},{4,5},{6,7}}=>{{1,2},{3,4},{5,6},{7}}=>{{1,2,4,6},{3},{5},{7}}=>[4,1,1,1] {{1},{2,3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5,6},{7}}=>{{1,2,4,6,7},{3},{5}}=>[5,1,1] {{1,6,7},{2,3},{4},{5}}=>{{1,2,7},{3},{4},{5,6}}=>{{1},{2,4,5,6},{3},{7}}=>[4,1,1,1] {{1,6},{2,3,7},{4},{5}}=>{{1,5,6},{2,7},{3},{4}}=>{{1,4,5,6},{2,7},{3}}=>[4,2,1] {{1,6},{2,3},{4,7},{5}}=>{{1,4},{2,7},{3},{5,6}}=>{{1,5,6},{2,4,7},{3}}=>[3,3,1] {{1,6},{2,3},{4},{5,7}}=>{{1,3},{2,7},{4},{5,6}}=>{{1,6},{2,4,5,7},{3}}=>[4,2,1] {{1,6},{2,3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5,6}}=>{{1,7},{2,4,5,6},{3}}=>[4,2,1] {{1,7},{2,3,6},{4},{5}}=>{{1,7},{2,5,6},{3},{4}}=>{{1},{2,7},{3},{4,5,6}}=>[3,2,1,1] {{1},{2,3,6,7},{4},{5}}=>{{1,2,5,6},{3},{4},{7}}=>{{1,2},{3},{4,5,6},{7}}=>[3,2,1,1] {{1},{2,3,6},{4,7},{5}}=>{{1,4},{2,5,6},{3},{7}}=>{{1,2,5,6},{3},{4,7}}=>[4,2,1] {{1},{2,3,6},{4},{5,7}}=>{{1,3},{2,5,6},{4},{7}}=>{{1,2,6},{3},{4,5,7}}=>[3,3,1] {{1},{2,3,6},{4},{5},{7}}=>{{1},{2,5,6},{3},{4},{7}}=>{{1,2,7},{3},{4,5,6}}=>[3,3,1] {{1,7},{2,3},{4,6},{5}}=>{{1,7},{2,4},{3},{5,6}}=>{{1},{2,4,7},{3},{5,6}}=>[3,2,1,1] {{1},{2,3,7},{4,6},{5}}=>{{1,5,6},{2,4},{3},{7}}=>{{1,2},{3},{4,7},{5,6}}=>[2,2,2,1] {{1},{2,3},{4,6,7},{5}}=>{{1,2,4},{3},{5,6},{7}}=>{{1,2,4},{3},{5,6},{7}}=>[3,2,1,1] {{1},{2,3},{4,6},{5,7}}=>{{1,3},{2,4},{5,6},{7}}=>{{1,2,4,6},{3},{5,7}}=>[4,2,1] {{1},{2,3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5,6},{7}}=>{{1,2,4,7},{3},{5,6}}=>[4,2,1] {{1,7},{2,3},{4},{5,6}}=>{{1,7},{2,3},{4},{5,6}}=>{{1},{2,4,5,7},{3},{6}}=>[4,1,1,1] {{1},{2,3,7},{4},{5,6}}=>{{1,5,6},{2,3},{4},{7}}=>{{1,2},{3},{4,5,7},{6}}=>[3,2,1,1] {{1},{2,3},{4,7},{5,6}}=>{{1,4},{2,3},{5,6},{7}}=>{{1,2,4},{3},{5,7},{6}}=>[3,2,1,1] {{1},{2,3},{4},{5,6,7}}=>{{1,2,3},{4},{5,6},{7}}=>{{1,2,4,5},{3},{6},{7}}=>[4,1,1,1] {{1},{2,3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5,6},{7}}=>{{1,2,4,5,7},{3},{6}}=>[5,1,1] {{1,7},{2,3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5,6}}=>{{1},{2,4,5,6,7},{3}}=>[5,1,1] {{1},{2,3,7},{4},{5},{6}}=>{{1,5,6},{2},{3},{4},{7}}=>{{1,2},{3},{4,5,6,7}}=>[4,2,1] {{1},{2,3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5,6},{7}}=>{{1,2,4},{3},{5,6,7}}=>[3,3,1] {{1},{2,3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5,6},{7}}=>{{1,2,4,5},{3},{6,7}}=>[4,2,1] {{1},{2,3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5,6},{7}}=>{{1,2,4,5,6},{3},{7}}=>[5,1,1] {{1},{2,3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5,6},{7}}=>{{1,2,4,5,6,7},{3}}=>[6,1] {{1,4,5,6,7},{2},{3}}=>{{1,2,3,4,7},{5},{6}}=>{{1},{2,3,4},{5},{6},{7}}=>[3,1,1,1,1] {{1,4,5,6},{2,7},{3}}=>{{1,6},{2,3,4,7},{5}}=>{{1,3,4},{2,7},{5},{6}}=>[3,2,1,1] {{1,4,5,6},{2},{3,7}}=>{{1,5},{2,3,4,7},{6}}=>{{1,4},{2,3,7},{5},{6}}=>[3,2,1,1] {{1,4,5,6},{2},{3},{7}}=>{{1},{2,3,4,7},{5},{6}}=>{{1,7},{2,3,4},{5},{6}}=>[3,2,1,1] {{1,4,5,7},{2,6},{3}}=>{{1,3,4,7},{2,6},{5}}=>{{1},{2,6},{3,4,7},{5}}=>[3,2,1,1] {{1,4,5},{2,6,7},{3}}=>{{1,2,6},{3,4,7},{5}}=>{{1,3,4},{2,6},{5},{7}}=>[3,2,1,1] {{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,4,7}}=>{{1,4},{2,6},{3,7},{5}}=>[2,2,2,1] {{1,4,5},{2,6},{3},{7}}=>{{1},{2,6},{3,4,7},{5}}=>{{1,3,4,7},{2,6},{5}}=>[4,2,1] {{1,4,5,7},{2},{3,6}}=>{{1,3,4,7},{2,5},{6}}=>{{1},{2,3,6},{4,7},{5}}=>[3,2,1,1] {{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,4,7}}=>{{1,4},{2,7},{3,6},{5}}=>[2,2,2,1] {{1,4,5},{2},{3,6,7}}=>{{1,2,5},{3,4,7},{6}}=>{{1,4},{2,3,6},{5},{7}}=>[3,2,1,1] {{1,4,5},{2},{3,6},{7}}=>{{1},{2,5},{3,4,7},{6}}=>{{1,4,7},{2,3,6},{5}}=>[3,3,1] {{1,4,5,7},{2},{3},{6}}=>{{1,3,4,7},{2},{5},{6}}=>{{1},{2,3,4},{5},{6,7}}=>[3,2,1,1] {{1,4,5},{2,7},{3},{6}}=>{{1,6},{2},{3,4,7},{5}}=>{{1,3,4},{2,6,7},{5}}=>[3,3,1] {{1,4,5},{2},{3,7},{6}}=>{{1,5},{2},{3,4,7},{6}}=>{{1,4},{2,3,6,7},{5}}=>[4,2,1] {{1,4,5},{2},{3},{6,7}}=>{{1,2},{3,4,7},{5},{6}}=>{{1,6},{2,3,4},{5},{7}}=>[3,2,1,1] {{1,4,5},{2},{3},{6},{7}}=>{{1},{2},{3,4,7},{5},{6}}=>{{1,6,7},{2,3,4},{5}}=>[3,3,1] {{1,4,6,7},{2,5},{3}}=>{{1,2,4,7},{3,6},{5}}=>{{1},{2,5},{3,4,6},{7}}=>[3,2,1,1] {{1,4,6},{2,5,7},{3}}=>{{1,3,6},{2,4,7},{5}}=>{{1,3,4,6},{2,5,7}}=>[4,3] {{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}=>[3,2,2] {{1,4,6},{2,5},{3},{7}}=>{{1},{2,4,7},{3,6},{5}}=>{{1,7},{2,5},{3,4,6}}=>[3,2,2] {{1,4,7},{2,5,6},{3}}=>{{1,4,7},{2,3,6},{5}}=>{{1},{2,5},{3,4,7},{6}}=>[3,2,1,1] {{1,4},{2,5,6,7},{3}}=>{{1,2,3,6},{4,7},{5}}=>{{1,3,4},{2,5},{6},{7}}=>[3,2,1,1] {{1,4},{2,5,6},{3,7}}=>{{1,5},{2,3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}=>[2,2,2,1] {{1,4},{2,5,6},{3},{7}}=>{{1},{2,3,6},{4,7},{5}}=>{{1,3,4,7},{2,5},{6}}=>[4,2,1] {{1,4,7},{2,5},{3,6}}=>{{1,4,7},{2,5},{3,6}}=>{{1},{2,5},{3,6},{4,7}}=>[2,2,2,1] {{1,4},{2,5,7},{3,6}}=>{{1,3,6},{2,5},{4,7}}=>{{1,4},{2,5,7},{3,6}}=>[3,2,2] {{1,4},{2,5},{3,6,7}}=>{{1,2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}=>[2,2,2,1] {{1,4},{2,5},{3,6},{7}}=>{{1},{2,5},{3,6},{4,7}}=>{{1,4,7},{2,5},{3,6}}=>[3,2,2] {{1,4,7},{2,5},{3},{6}}=>{{1,4,7},{2},{3,6},{5}}=>{{1},{2,5},{3,4,6,7}}=>[4,2,1] {{1,4},{2,5,7},{3},{6}}=>{{1,3,6},{2},{4,7},{5}}=>{{1,3,4},{2,5},{6,7}}=>[3,2,2] {{1,4},{2,5},{3,7},{6}}=>{{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,6,7}}=>[3,2,2] {{1,4},{2,5},{3},{6,7}}=>{{1,2},{3,6},{4,7},{5}}=>{{1,3,4,6},{2,5},{7}}=>[4,2,1] {{1,4},{2,5},{3},{6},{7}}=>{{1},{2},{3,6},{4,7},{5}}=>{{1,3,4,6,7},{2,5}}=>[5,2] {{1,4,6,7},{2},{3,5}}=>{{1,2,4,7},{3,5},{6}}=>{{1},{2,3,5},{4,6},{7}}=>[3,2,1,1] {{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}=>[3,2,2] {{1,4,6},{2},{3,5,7}}=>{{1,3,5},{2,4,7},{6}}=>{{1,4,6},{2,3,5,7}}=>[4,3] {{1,4,6},{2},{3,5},{7}}=>{{1},{2,4,7},{3,5},{6}}=>{{1,7},{2,3,5},{4,6}}=>[3,2,2] {{1,4,7},{2,6},{3,5}}=>{{1,4,7},{2,6},{3,5}}=>{{1},{2,6},{3,5},{4,7}}=>[2,2,2,1] {{1,4},{2,6,7},{3,5}}=>{{1,2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}=>[2,2,2,1] {{1,4},{2,6},{3,5,7}}=>{{1,3,5},{2,6},{4,7}}=>{{1,4},{2,6},{3,5,7}}=>[3,2,2] {{1,4},{2,6},{3,5},{7}}=>{{1},{2,6},{3,5},{4,7}}=>{{1,4,7},{2,6},{3,5}}=>[3,2,2] {{1,4,7},{2},{3,5,6}}=>{{1,4,7},{2,3,5},{6}}=>{{1},{2,3,5},{4,7},{6}}=>[3,2,1,1] {{1,4},{2,7},{3,5,6}}=>{{1,6},{2,3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}=>[2,2,2,1] {{1,4},{2},{3,5,6,7}}=>{{1,2,3,5},{4,7},{6}}=>{{1,4},{2,3,5},{6},{7}}=>[3,2,1,1] {{1,4},{2},{3,5,6},{7}}=>{{1},{2,3,5},{4,7},{6}}=>{{1,4,7},{2,3,5},{6}}=>[3,3,1] {{1,4,7},{2},{3,5},{6}}=>{{1,4,7},{2},{3,5},{6}}=>{{1},{2,3,5},{4,6,7}}=>[3,3,1] {{1,4},{2,7},{3,5},{6}}=>{{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,6,7},{3,5}}=>[3,2,2] {{1,4},{2},{3,5,7},{6}}=>{{1,3,5},{2},{4,7},{6}}=>{{1,4},{2,3,5},{6,7}}=>[3,2,2] {{1,4},{2},{3,5},{6,7}}=>{{1,2},{3,5},{4,7},{6}}=>{{1,4,6},{2,3,5},{7}}=>[3,3,1] {{1,4},{2},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,7},{6}}=>{{1,4,6,7},{2,3,5}}=>[4,3] {{1,4,6,7},{2},{3},{5}}=>{{1,2,4,7},{3},{5},{6}}=>{{1},{2,3,4},{5,6},{7}}=>[3,2,1,1] {{1,4,6},{2,7},{3},{5}}=>{{1,6},{2,4,7},{3},{5}}=>{{1,3,4},{2,7},{5,6}}=>[3,2,2] {{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,4,7},{3},{6}}=>{{1,4},{2,3,7},{5,6}}=>[3,2,2] {{1,4,6},{2},{3},{5,7}}=>{{1,3},{2,4,7},{5},{6}}=>{{1,6},{2,3,4},{5,7}}=>[3,2,2] {{1,4,6},{2},{3},{5},{7}}=>{{1},{2,4,7},{3},{5},{6}}=>{{1,7},{2,3,4},{5,6}}=>[3,2,2] {{1,4,7},{2,6},{3},{5}}=>{{1,4,7},{2,6},{3},{5}}=>{{1},{2,5,6},{3,4,7}}=>[3,3,1] {{1,4},{2,6,7},{3},{5}}=>{{1,2,6},{3},{4,7},{5}}=>{{1,3,4},{2,5,6},{7}}=>[3,3,1] {{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,5,6},{3,7}}=>[3,2,2] {{1,4},{2,6},{3},{5,7}}=>{{1,3},{2,6},{4,7},{5}}=>{{1,3,4},{2,6},{5,7}}=>[3,2,2] {{1,4},{2,6},{3},{5},{7}}=>{{1},{2,6},{3},{4,7},{5}}=>{{1,3,4,7},{2,5,6}}=>[4,3] {{1,4,7},{2},{3,6},{5}}=>{{1,4,7},{2,5},{3},{6}}=>{{1},{2,3,5,6},{4,7}}=>[4,2,1] {{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,5,6}}=>[3,2,2] {{1,4},{2},{3,6,7},{5}}=>{{1,2,5},{3},{4,7},{6}}=>{{1,4},{2,3,5,6},{7}}=>[4,2,1] {{1,4},{2},{3,6},{5,7}}=>{{1,3},{2,5},{4,7},{6}}=>{{1,4},{2,3,6},{5,7}}=>[3,2,2] {{1,4},{2},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,7},{6}}=>{{1,4,7},{2,3,5,6}}=>[4,3] {{1,4,7},{2},{3},{5,6}}=>{{1,4,7},{2,3},{5},{6}}=>{{1},{2,3,4},{5,7},{6}}=>[3,2,1,1] {{1,4},{2,7},{3},{5,6}}=>{{1,6},{2,3},{4,7},{5}}=>{{1,3,4},{2,5,7},{6}}=>[3,3,1] {{1,4},{2},{3,7},{5,6}}=>{{1,5},{2,3},{4,7},{6}}=>{{1,4},{2,3,5,7},{6}}=>[4,2,1] {{1,4},{2},{3},{5,6,7}}=>{{1,2,3},{4,7},{5},{6}}=>{{1,5},{2,3,4},{6},{7}}=>[3,2,1,1] {{1,4},{2},{3},{5,6},{7}}=>{{1},{2,3},{4,7},{5},{6}}=>{{1,5,7},{2,3,4},{6}}=>[3,3,1] {{1,4,7},{2},{3},{5},{6}}=>{{1,4,7},{2},{3},{5},{6}}=>{{1},{2,3,4},{5,6,7}}=>[3,3,1] {{1,4},{2,7},{3},{5},{6}}=>{{1,6},{2},{3},{4,7},{5}}=>{{1,3,4},{2,5,6,7}}=>[4,3] {{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2,3,5,6,7}}=>[5,2] {{1,4},{2},{3},{5,7},{6}}=>{{1,3},{2},{4,7},{5},{6}}=>{{1,5},{2,3,4},{6,7}}=>[3,2,2] {{1,4},{2},{3},{5},{6,7}}=>{{1,2},{3},{4,7},{5},{6}}=>{{1,5,6},{2,3,4},{7}}=>[3,3,1] {{1,4},{2},{3},{5},{6},{7}}=>{{1},{2},{3},{4,7},{5},{6}}=>{{1,5,6,7},{2,3,4}}=>[4,3] {{1,5,6,7},{2,4},{3}}=>{{1,2,3,7},{4,6},{5}}=>{{1},{2,5},{3,4},{6},{7}}=>[2,2,1,1,1] {{1,5,6},{2,4,7},{3}}=>{{1,4,6},{2,3,7},{5}}=>{{1,5},{2,7},{3,4},{6}}=>[2,2,2,1] {{1,5,6},{2,4},{3,7}}=>{{1,5},{2,3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}=>[2,2,2,1] {{1,5,6},{2,4},{3},{7}}=>{{1},{2,3,7},{4,6},{5}}=>{{1,7},{2,5},{3,4},{6}}=>[2,2,2,1] {{1,5,7},{2,4,6},{3}}=>{{1,3,7},{2,4,6},{5}}=>{{1},{2,6},{3,4},{5,7}}=>[2,2,2,1] {{1,5},{2,4,6,7},{3}}=>{{1,2,4,6},{3,7},{5}}=>{{1,5},{2,6},{3,4},{7}}=>[2,2,2,1] {{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}=>{{1,5},{2,4,6},{3,7}}=>[3,2,2] {{1,5},{2,4,6},{3},{7}}=>{{1},{2,4,6},{3,7},{5}}=>{{1,5,7},{2,6},{3,4}}=>[3,2,2] {{1,5,7},{2,4},{3,6}}=>{{1,3,7},{2,5},{4,6}}=>{{1},{2,4},{3,6},{5,7}}=>[2,2,2,1] {{1,5},{2,4,7},{3,6}}=>{{1,4,6},{2,5},{3,7}}=>{{1,5},{2,4,7},{3,6}}=>[3,2,2] {{1,5},{2,4},{3,6,7}}=>{{1,2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}=>[2,2,2,1] {{1,5},{2,4},{3,6},{7}}=>{{1},{2,5},{3,7},{4,6}}=>{{1,5,7},{2,4},{3,6}}=>[3,2,2] {{1,5,7},{2,4},{3},{6}}=>{{1,3,7},{2},{4,6},{5}}=>{{1},{2,5},{3,4},{6,7}}=>[2,2,2,1] {{1,5},{2,4,7},{3},{6}}=>{{1,4,6},{2},{3,7},{5}}=>{{1,5},{2,6,7},{3,4}}=>[3,2,2] {{1,5},{2,4},{3,7},{6}}=>{{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,6,7}}=>[3,2,2] {{1,5},{2,4},{3},{6,7}}=>{{1,2},{3,7},{4,6},{5}}=>{{1,6},{2,5},{3,4},{7}}=>[2,2,2,1] {{1,5},{2,4},{3},{6},{7}}=>{{1},{2},{3,7},{4,6},{5}}=>{{1,6,7},{2,5},{3,4}}=>[3,2,2] {{1,6,7},{2,4,5},{3}}=>{{1,2,7},{3,4,6},{5}}=>{{1},{2,6},{3,4},{5},{7}}=>[2,2,1,1,1] {{1,6},{2,4,5,7},{3}}=>{{1,3,4,6},{2,7},{5}}=>{{1,6},{2,7},{3,4},{5}}=>[2,2,2,1] {{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4},{3,7},{5}}=>[2,2,2,1] {{1,6},{2,4,5},{3},{7}}=>{{1},{2,7},{3,4,6},{5}}=>{{1,7},{2,6},{3,4},{5}}=>[2,2,2,1] {{1,7},{2,4,5,6},{3}}=>{{1,7},{2,3,4,6},{5}}=>{{1},{2,7},{3,4},{5},{6}}=>[2,2,1,1,1] {{1},{2,4,5,6,7},{3}}=>{{1,2,3,4,6},{5},{7}}=>{{1,2},{3,4},{5},{6},{7}}=>[2,2,1,1,1] {{1},{2,4,5,6},{3,7}}=>{{1,5},{2,3,4,6},{7}}=>{{1,2,4},{3,7},{5},{6}}=>[3,2,1,1] {{1},{2,4,5,6},{3},{7}}=>{{1},{2,3,4,6},{5},{7}}=>{{1,2,7},{3,4},{5},{6}}=>[3,2,1,1] {{1,7},{2,4,5},{3,6}}=>{{1,7},{2,5},{3,4,6}}=>{{1},{2,4,7},{3,6},{5}}=>[3,2,1,1] {{1},{2,4,5,7},{3,6}}=>{{1,3,4,6},{2,5},{7}}=>{{1,2},{3,6},{4,7},{5}}=>[2,2,2,1] {{1},{2,4,5},{3,6,7}}=>{{1,2,5},{3,4,6},{7}}=>{{1,2,4},{3,6},{5},{7}}=>[3,2,1,1] {{1},{2,4,5},{3,6},{7}}=>{{1},{2,5},{3,4,6},{7}}=>{{1,2,4,7},{3,6},{5}}=>[4,2,1] {{1,7},{2,4,5},{3},{6}}=>{{1,7},{2},{3,4,6},{5}}=>{{1},{2,6,7},{3,4},{5}}=>[3,2,1,1] {{1},{2,4,5,7},{3},{6}}=>{{1,3,4,6},{2},{5},{7}}=>{{1,2},{3,4},{5},{6,7}}=>[2,2,2,1] {{1},{2,4,5},{3,7},{6}}=>{{1,5},{2},{3,4,6},{7}}=>{{1,2,4},{3,6,7},{5}}=>[3,3,1] {{1},{2,4,5},{3},{6,7}}=>{{1,2},{3,4,6},{5},{7}}=>{{1,2,6},{3,4},{5},{7}}=>[3,2,1,1] {{1},{2,4,5},{3},{6},{7}}=>{{1},{2},{3,4,6},{5},{7}}=>{{1,2,6,7},{3,4},{5}}=>[4,2,1] {{1,6,7},{2,4},{3,5}}=>{{1,2,7},{3,5},{4,6}}=>{{1},{2,4,6},{3,5},{7}}=>[3,2,1,1] {{1,6},{2,4,7},{3,5}}=>{{1,4,6},{2,7},{3,5}}=>{{1,6},{2,4,7},{3,5}}=>[3,2,2] {{1,6},{2,4},{3,5,7}}=>{{1,3,5},{2,7},{4,6}}=>{{1,6},{2,4},{3,5,7}}=>[3,2,2] {{1,6},{2,4},{3,5},{7}}=>{{1},{2,7},{3,5},{4,6}}=>{{1,7},{2,4,6},{3,5}}=>[3,2,2] {{1,7},{2,4,6},{3,5}}=>{{1,7},{2,4,6},{3,5}}=>{{1},{2,7},{3,5},{4,6}}=>[2,2,2,1] {{1},{2,4,6,7},{3,5}}=>{{1,2,4,6},{3,5},{7}}=>{{1,2},{3,5},{4,6},{7}}=>[2,2,2,1] {{1},{2,4,6},{3,5,7}}=>{{1,3,5},{2,4,6},{7}}=>{{1,2,4,6},{3,5,7}}=>[4,3] {{1},{2,4,6},{3,5},{7}}=>{{1},{2,4,6},{3,5},{7}}=>{{1,2,7},{3,5},{4,6}}=>[3,2,2] {{1,7},{2,4},{3,5,6}}=>{{1,7},{2,3,5},{4,6}}=>{{1},{2,4,7},{3,5},{6}}=>[3,2,1,1] {{1},{2,4,7},{3,5,6}}=>{{1,4,6},{2,3,5},{7}}=>{{1,2},{3,5},{4,7},{6}}=>[2,2,2,1] {{1},{2,4},{3,5,6,7}}=>{{1,2,3,5},{4,6},{7}}=>{{1,2,4},{3,5},{6},{7}}=>[3,2,1,1] {{1},{2,4},{3,5,6},{7}}=>{{1},{2,3,5},{4,6},{7}}=>{{1,2,4,7},{3,5},{6}}=>[4,2,1] {{1,7},{2,4},{3,5},{6}}=>{{1,7},{2},{3,5},{4,6}}=>{{1},{2,4,6,7},{3,5}}=>[4,2,1] {{1},{2,4,7},{3,5},{6}}=>{{1,4,6},{2},{3,5},{7}}=>{{1,2},{3,5},{4,6,7}}=>[3,2,2] {{1},{2,4},{3,5,7},{6}}=>{{1,3,5},{2},{4,6},{7}}=>{{1,2,4},{3,5},{6,7}}=>[3,2,2] {{1},{2,4},{3,5},{6,7}}=>{{1,2},{3,5},{4,6},{7}}=>{{1,2,4,6},{3,5},{7}}=>[4,2,1] {{1},{2,4},{3,5},{6},{7}}=>{{1},{2},{3,5},{4,6},{7}}=>{{1,2,4,6,7},{3,5}}=>[5,2] {{1,6,7},{2,4},{3},{5}}=>{{1,2,7},{3},{4,6},{5}}=>{{1},{2,5,6},{3,4},{7}}=>[3,2,1,1] {{1,6},{2,4,7},{3},{5}}=>{{1,4,6},{2,7},{3},{5}}=>{{1,5,6},{2,7},{3,4}}=>[3,2,2] {{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3},{4,6}}=>{{1,5,6},{2,4},{3,7}}=>[3,2,2] {{1,6},{2,4},{3},{5,7}}=>{{1,3},{2,7},{4,6},{5}}=>{{1,6},{2,5,7},{3,4}}=>[3,2,2] {{1,6},{2,4},{3},{5},{7}}=>{{1},{2,7},{3},{4,6},{5}}=>{{1,7},{2,5,6},{3,4}}=>[3,2,2] {{1,7},{2,4,6},{3},{5}}=>{{1,7},{2,4,6},{3},{5}}=>{{1},{2,7},{3,4},{5,6}}=>[2,2,2,1] {{1},{2,4,6,7},{3},{5}}=>{{1,2,4,6},{3},{5},{7}}=>{{1,2},{3,4},{5,6},{7}}=>[2,2,2,1] {{1},{2,4,6},{3,7},{5}}=>{{1,5},{2,4,6},{3},{7}}=>{{1,2,4},{3,7},{5,6}}=>[3,2,2] {{1},{2,4,6},{3},{5,7}}=>{{1,3},{2,4,6},{5},{7}}=>{{1,2,6},{3,4},{5,7}}=>[3,2,2] {{1},{2,4,6},{3},{5},{7}}=>{{1},{2,4,6},{3},{5},{7}}=>{{1,2,7},{3,4},{5,6}}=>[3,2,2] {{1,7},{2,4},{3,6},{5}}=>{{1,7},{2,5},{3},{4,6}}=>{{1},{2,4,7},{3,5,6}}=>[3,3,1] {{1},{2,4,7},{3,6},{5}}=>{{1,4,6},{2,5},{3},{7}}=>{{1,2},{3,5,6},{4,7}}=>[3,2,2] {{1},{2,4},{3,6,7},{5}}=>{{1,2,5},{3},{4,6},{7}}=>{{1,2,4},{3,5,6},{7}}=>[3,3,1] {{1},{2,4},{3,6},{5,7}}=>{{1,3},{2,5},{4,6},{7}}=>{{1,2,4},{3,6},{5,7}}=>[3,2,2] {{1},{2,4},{3,6},{5},{7}}=>{{1},{2,5},{3},{4,6},{7}}=>{{1,2,4,7},{3,5,6}}=>[4,3] {{1,7},{2,4},{3},{5,6}}=>{{1,7},{2,3},{4,6},{5}}=>{{1},{2,5,7},{3,4},{6}}=>[3,2,1,1] {{1},{2,4,7},{3},{5,6}}=>{{1,4,6},{2,3},{5},{7}}=>{{1,2},{3,4},{5,7},{6}}=>[2,2,2,1] {{1},{2,4},{3,7},{5,6}}=>{{1,5},{2,3},{4,6},{7}}=>{{1,2,4},{3,5,7},{6}}=>[3,3,1] {{1},{2,4},{3},{5,6,7}}=>{{1,2,3},{4,6},{5},{7}}=>{{1,2,5},{3,4},{6},{7}}=>[3,2,1,1] {{1},{2,4},{3},{5,6},{7}}=>{{1},{2,3},{4,6},{5},{7}}=>{{1,2,5,7},{3,4},{6}}=>[4,2,1] {{1,7},{2,4},{3},{5},{6}}=>{{1,7},{2},{3},{4,6},{5}}=>{{1},{2,5,6,7},{3,4}}=>[4,2,1] {{1},{2,4,7},{3},{5},{6}}=>{{1,4,6},{2},{3},{5},{7}}=>{{1,2},{3,4},{5,6,7}}=>[3,2,2] {{1},{2,4},{3,7},{5},{6}}=>{{1,5},{2},{3},{4,6},{7}}=>{{1,2,4},{3,5,6,7}}=>[4,3] {{1},{2,4},{3},{5,7},{6}}=>{{1,3},{2},{4,6},{5},{7}}=>{{1,2,5},{3,4},{6,7}}=>[3,2,2] {{1},{2,4},{3},{5},{6,7}}=>{{1,2},{3},{4,6},{5},{7}}=>{{1,2,5,6},{3,4},{7}}=>[4,2,1] {{1},{2,4},{3},{5},{6},{7}}=>{{1},{2},{3},{4,6},{5},{7}}=>{{1,2,5,6,7},{3,4}}=>[5,2] {{1,5,6,7},{2},{3,4}}=>{{1,2,3,7},{4,5},{6}}=>{{1},{2,3,5},{4},{6},{7}}=>[3,1,1,1,1] {{1,5,6},{2,7},{3,4}}=>{{1,6},{2,3,7},{4,5}}=>{{1,3,5},{2,7},{4},{6}}=>[3,2,1,1] {{1,5,6},{2},{3,4,7}}=>{{1,4,5},{2,3,7},{6}}=>{{1,5},{2,3,7},{4},{6}}=>[3,2,1,1] {{1,5,6},{2},{3,4},{7}}=>{{1},{2,3,7},{4,5},{6}}=>{{1,7},{2,3,5},{4},{6}}=>[3,2,1,1] {{1,5,7},{2,6},{3,4}}=>{{1,3,7},{2,6},{4,5}}=>{{1},{2,6},{3,5,7},{4}}=>[3,2,1,1] {{1,5},{2,6,7},{3,4}}=>{{1,2,6},{3,7},{4,5}}=>{{1,3,5},{2,6},{4},{7}}=>[3,2,1,1] {{1,5},{2,6},{3,4,7}}=>{{1,4,5},{2,6},{3,7}}=>{{1,5},{2,6},{3,7},{4}}=>[2,2,2,1] {{1,5},{2,6},{3,4},{7}}=>{{1},{2,6},{3,7},{4,5}}=>{{1,3,5,7},{2,6},{4}}=>[4,2,1] {{1,5,7},{2},{3,4,6}}=>{{1,3,7},{2,4,5},{6}}=>{{1},{2,3,6},{4},{5,7}}=>[3,2,1,1] {{1,5},{2,7},{3,4,6}}=>{{1,6},{2,4,5},{3,7}}=>{{1,5},{2,7},{3,6},{4}}=>[2,2,2,1] {{1,5},{2},{3,4,6,7}}=>{{1,2,4,5},{3,7},{6}}=>{{1,5},{2,3,6},{4},{7}}=>[3,2,1,1] {{1,5},{2},{3,4,6},{7}}=>{{1},{2,4,5},{3,7},{6}}=>{{1,5,7},{2,3,6},{4}}=>[3,3,1] {{1,5,7},{2},{3,4},{6}}=>{{1,3,7},{2},{4,5},{6}}=>{{1},{2,3,5},{4},{6,7}}=>[3,2,1,1] {{1,5},{2,7},{3,4},{6}}=>{{1,6},{2},{3,7},{4,5}}=>{{1,3,5},{2,6,7},{4}}=>[3,3,1] {{1,5},{2},{3,4,7},{6}}=>{{1,4,5},{2},{3,7},{6}}=>{{1,5},{2,3,6,7},{4}}=>[4,2,1] {{1,5},{2},{3,4},{6,7}}=>{{1,2},{3,7},{4,5},{6}}=>{{1,6},{2,3,5},{4},{7}}=>[3,2,1,1] {{1,5},{2},{3,4},{6},{7}}=>{{1},{2},{3,7},{4,5},{6}}=>{{1,6,7},{2,3,5},{4}}=>[3,3,1] {{1,6,7},{2,5},{3,4}}=>{{1,2,7},{3,6},{4,5}}=>{{1},{2,6},{3,5},{4},{7}}=>[2,2,1,1,1] {{1,6},{2,5,7},{3,4}}=>{{1,3,6},{2,7},{4,5}}=>{{1,6},{2,7},{3,5},{4}}=>[2,2,2,1] {{1,6},{2,5},{3,4,7}}=>{{1,4,5},{2,7},{3,6}}=>{{1,6},{2,5},{3,7},{4}}=>[2,2,2,1] {{1,6},{2,5},{3,4},{7}}=>{{1},{2,7},{3,6},{4,5}}=>{{1,7},{2,6},{3,5},{4}}=>[2,2,2,1] {{1,7},{2,5,6},{3,4}}=>{{1,7},{2,3,6},{4,5}}=>{{1},{2,7},{3,5},{4},{6}}=>[2,2,1,1,1] {{1},{2,5,6,7},{3,4}}=>{{1,2,3,6},{4,5},{7}}=>{{1,2},{3,5},{4},{6},{7}}=>[2,2,1,1,1] {{1},{2,5,6},{3,4,7}}=>{{1,4,5},{2,3,6},{7}}=>{{1,2,5},{3,7},{4},{6}}=>[3,2,1,1] {{1},{2,5,6},{3,4},{7}}=>{{1},{2,3,6},{4,5},{7}}=>{{1,2,7},{3,5},{4},{6}}=>[3,2,1,1] {{1,7},{2,5},{3,4,6}}=>{{1,7},{2,4,5},{3,6}}=>{{1},{2,5,7},{3,6},{4}}=>[3,2,1,1] {{1},{2,5,7},{3,4,6}}=>{{1,3,6},{2,4,5},{7}}=>{{1,2},{3,6},{4},{5,7}}=>[2,2,2,1] {{1},{2,5},{3,4,6,7}}=>{{1,2,4,5},{3,6},{7}}=>{{1,2,5},{3,6},{4},{7}}=>[3,2,1,1] {{1},{2,5},{3,4,6},{7}}=>{{1},{2,4,5},{3,6},{7}}=>{{1,2,5,7},{3,6},{4}}=>[4,2,1] {{1,7},{2,5},{3,4},{6}}=>{{1,7},{2},{3,6},{4,5}}=>{{1},{2,6,7},{3,5},{4}}=>[3,2,1,1] {{1},{2,5,7},{3,4},{6}}=>{{1,3,6},{2},{4,5},{7}}=>{{1,2},{3,5},{4},{6,7}}=>[2,2,2,1] {{1},{2,5},{3,4,7},{6}}=>{{1,4,5},{2},{3,6},{7}}=>{{1,2,5},{3,6,7},{4}}=>[3,3,1] {{1},{2,5},{3,4},{6,7}}=>{{1,2},{3,6},{4,5},{7}}=>{{1,2,6},{3,5},{4},{7}}=>[3,2,1,1] {{1},{2,5},{3,4},{6},{7}}=>{{1},{2},{3,6},{4,5},{7}}=>{{1,2,6,7},{3,5},{4}}=>[4,2,1] {{1,6,7},{2},{3,4,5}}=>{{1,2,7},{3,4,5},{6}}=>{{1},{2,3,6},{4},{5},{7}}=>[3,1,1,1,1] {{1,6},{2,7},{3,4,5}}=>{{1,6},{2,7},{3,4,5}}=>{{1,3,6},{2,7},{4},{5}}=>[3,2,1,1] {{1,6},{2},{3,4,5,7}}=>{{1,3,4,5},{2,7},{6}}=>{{1,6},{2,3,7},{4},{5}}=>[3,2,1,1] {{1,6},{2},{3,4,5},{7}}=>{{1},{2,7},{3,4,5},{6}}=>{{1,7},{2,3,6},{4},{5}}=>[3,2,1,1] {{1,7},{2,6},{3,4,5}}=>{{1,7},{2,6},{3,4,5}}=>{{1},{2,7},{3,6},{4},{5}}=>[2,2,1,1,1] {{1},{2,6,7},{3,4,5}}=>{{1,2,6},{3,4,5},{7}}=>{{1,2},{3,6},{4},{5},{7}}=>[2,2,1,1,1] {{1},{2,6},{3,4,5,7}}=>{{1,3,4,5},{2,6},{7}}=>{{1,2,6},{3,7},{4},{5}}=>[3,2,1,1] {{1},{2,6},{3,4,5},{7}}=>{{1},{2,6},{3,4,5},{7}}=>{{1,2,7},{3,6},{4},{5}}=>[3,2,1,1] {{1,7},{2},{3,4,5,6}}=>{{1,7},{2,3,4,5},{6}}=>{{1},{2,3,7},{4},{5},{6}}=>[3,1,1,1,1] {{1},{2,7},{3,4,5,6}}=>{{1,6},{2,3,4,5},{7}}=>{{1,2},{3,7},{4},{5},{6}}=>[2,2,1,1,1] {{1},{2},{3,4,5,6,7}}=>{{1,2,3,4,5},{6},{7}}=>{{1,2,3},{4},{5},{6},{7}}=>[3,1,1,1,1] {{1},{2},{3,4,5,6},{7}}=>{{1},{2,3,4,5},{6},{7}}=>{{1,2,3,7},{4},{5},{6}}=>[4,1,1,1] {{1,7},{2},{3,4,5},{6}}=>{{1,7},{2},{3,4,5},{6}}=>{{1},{2,3,6,7},{4},{5}}=>[4,1,1,1] {{1},{2,7},{3,4,5},{6}}=>{{1,6},{2},{3,4,5},{7}}=>{{1,2},{3,6,7},{4},{5}}=>[3,2,1,1] {{1},{2},{3,4,5,7},{6}}=>{{1,3,4,5},{2},{6},{7}}=>{{1,2,3},{4},{5},{6,7}}=>[3,2,1,1] {{1},{2},{3,4,5},{6,7}}=>{{1,2},{3,4,5},{6},{7}}=>{{1,2,3,6},{4},{5},{7}}=>[4,1,1,1] {{1},{2},{3,4,5},{6},{7}}=>{{1},{2},{3,4,5},{6},{7}}=>{{1,2,3,6,7},{4},{5}}=>[5,1,1] {{1,6,7},{2},{3,4},{5}}=>{{1,2,7},{3},{4,5},{6}}=>{{1},{2,3,5,6},{4},{7}}=>[4,1,1,1] {{1,6},{2,7},{3,4},{5}}=>{{1,6},{2,7},{3},{4,5}}=>{{1,3,5,6},{2,7},{4}}=>[4,2,1] {{1,6},{2},{3,4,7},{5}}=>{{1,4,5},{2,7},{3},{6}}=>{{1,5,6},{2,3,7},{4}}=>[3,3,1] {{1,6},{2},{3,4},{5,7}}=>{{1,3},{2,7},{4,5},{6}}=>{{1,6},{2,3,5,7},{4}}=>[4,2,1] {{1,6},{2},{3,4},{5},{7}}=>{{1},{2,7},{3},{4,5},{6}}=>{{1,7},{2,3,5,6},{4}}=>[4,2,1] {{1,7},{2,6},{3,4},{5}}=>{{1,7},{2,6},{3},{4,5}}=>{{1},{2,7},{3,5,6},{4}}=>[3,2,1,1] {{1},{2,6,7},{3,4},{5}}=>{{1,2,6},{3},{4,5},{7}}=>{{1,2},{3,5,6},{4},{7}}=>[3,2,1,1] {{1},{2,6},{3,4,7},{5}}=>{{1,4,5},{2,6},{3},{7}}=>{{1,2,5,6},{3,7},{4}}=>[4,2,1] {{1},{2,6},{3,4},{5,7}}=>{{1,3},{2,6},{4,5},{7}}=>{{1,2,6},{3,5,7},{4}}=>[3,3,1] {{1},{2,6},{3,4},{5},{7}}=>{{1},{2,6},{3},{4,5},{7}}=>{{1,2,7},{3,5,6},{4}}=>[3,3,1] {{1,7},{2},{3,4,6},{5}}=>{{1,7},{2,4,5},{3},{6}}=>{{1},{2,3,7},{4},{5,6}}=>[3,2,1,1] {{1},{2,7},{3,4,6},{5}}=>{{1,6},{2,4,5},{3},{7}}=>{{1,2},{3,7},{4},{5,6}}=>[2,2,2,1] {{1},{2},{3,4,6,7},{5}}=>{{1,2,4,5},{3},{6},{7}}=>{{1,2,3},{4},{5,6},{7}}=>[3,2,1,1] {{1},{2},{3,4,6},{5,7}}=>{{1,3},{2,4,5},{6},{7}}=>{{1,2,3,6},{4},{5,7}}=>[4,2,1] {{1},{2},{3,4,6},{5},{7}}=>{{1},{2,4,5},{3},{6},{7}}=>{{1,2,3,7},{4},{5,6}}=>[4,2,1] {{1,7},{2},{3,4},{5,6}}=>{{1,7},{2,3},{4,5},{6}}=>{{1},{2,3,5,7},{4},{6}}=>[4,1,1,1] {{1},{2,7},{3,4},{5,6}}=>{{1,6},{2,3},{4,5},{7}}=>{{1,2},{3,5,7},{4},{6}}=>[3,2,1,1] {{1},{2},{3,4,7},{5,6}}=>{{1,4,5},{2,3},{6},{7}}=>{{1,2,3},{4},{5,7},{6}}=>[3,2,1,1] {{1},{2},{3,4},{5,6,7}}=>{{1,2,3},{4,5},{6},{7}}=>{{1,2,3,5},{4},{6},{7}}=>[4,1,1,1] {{1},{2},{3,4},{5,6},{7}}=>{{1},{2,3},{4,5},{6},{7}}=>{{1,2,3,5,7},{4},{6}}=>[5,1,1] {{1,7},{2},{3,4},{5},{6}}=>{{1,7},{2},{3},{4,5},{6}}=>{{1},{2,3,5,6,7},{4}}=>[5,1,1] {{1},{2,7},{3,4},{5},{6}}=>{{1,6},{2},{3},{4,5},{7}}=>{{1,2},{3,5,6,7},{4}}=>[4,2,1] {{1},{2},{3,4,7},{5},{6}}=>{{1,4,5},{2},{3},{6},{7}}=>{{1,2,3},{4},{5,6,7}}=>[3,3,1] {{1},{2},{3,4},{5,7},{6}}=>{{1,3},{2},{4,5},{6},{7}}=>{{1,2,3,5},{4},{6,7}}=>[4,2,1] {{1},{2},{3,4},{5},{6,7}}=>{{1,2},{3},{4,5},{6},{7}}=>{{1,2,3,5,6},{4},{7}}=>[5,1,1] {{1},{2},{3,4},{5},{6},{7}}=>{{1},{2},{3},{4,5},{6},{7}}=>{{1,2,3,5,6,7},{4}}=>[6,1] {{1,5,6,7},{2},{3},{4}}=>{{1,2,3,7},{4},{5},{6}}=>{{1},{2,3,4,5},{6},{7}}=>[4,1,1,1] {{1,5,6},{2,7},{3},{4}}=>{{1,6},{2,3,7},{4},{5}}=>{{1,3,4,5},{2,7},{6}}=>[4,2,1] {{1,5,6},{2},{3,7},{4}}=>{{1,5},{2,3,7},{4},{6}}=>{{1,4,5},{2,3,7},{6}}=>[3,3,1] {{1,5,6},{2},{3},{4,7}}=>{{1,4},{2,3,7},{5},{6}}=>{{1,5},{2,3,4,7},{6}}=>[4,2,1] {{1,5,6},{2},{3},{4},{7}}=>{{1},{2,3,7},{4},{5},{6}}=>{{1,7},{2,3,4,5},{6}}=>[4,2,1] {{1,5,7},{2,6},{3},{4}}=>{{1,3,7},{2,6},{4},{5}}=>{{1},{2,6},{3,4,5,7}}=>[4,2,1] {{1,5},{2,6,7},{3},{4}}=>{{1,2,6},{3,7},{4},{5}}=>{{1,3,4,5},{2,6},{7}}=>[4,2,1] {{1,5},{2,6},{3,7},{4}}=>{{1,5},{2,6},{3,7},{4}}=>{{1,4,5},{2,6},{3,7}}=>[3,2,2] {{1,5},{2,6},{3},{4,7}}=>{{1,4},{2,6},{3,7},{5}}=>{{1,5},{2,6},{3,4,7}}=>[3,2,2] {{1,5},{2,6},{3},{4},{7}}=>{{1},{2,6},{3,7},{4},{5}}=>{{1,3,4,5,7},{2,6}}=>[5,2] {{1,5,7},{2},{3,6},{4}}=>{{1,3,7},{2,5},{4},{6}}=>{{1},{2,3,6},{4,5,7}}=>[3,3,1] {{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,5},{3,7},{4}}=>{{1,4,5},{2,7},{3,6}}=>[3,2,2] {{1,5},{2},{3,6,7},{4}}=>{{1,2,5},{3,7},{4},{6}}=>{{1,4,5},{2,3,6},{7}}=>[3,3,1] {{1,5},{2},{3,6},{4,7}}=>{{1,4},{2,5},{3,7},{6}}=>{{1,5},{2,3,6},{4,7}}=>[3,2,2] {{1,5},{2},{3,6},{4},{7}}=>{{1},{2,5},{3,7},{4},{6}}=>{{1,4,5,7},{2,3,6}}=>[4,3] {{1,5,7},{2},{3},{4,6}}=>{{1,3,7},{2,4},{5},{6}}=>{{1},{2,3,4,6},{5,7}}=>[4,2,1] {{1,5},{2,7},{3},{4,6}}=>{{1,6},{2,4},{3,7},{5}}=>{{1,5},{2,7},{3,4,6}}=>[3,2,2] {{1,5},{2},{3,7},{4,6}}=>{{1,5},{2,4},{3,7},{6}}=>{{1,5},{2,3,7},{4,6}}=>[3,2,2] {{1,5},{2},{3},{4,6,7}}=>{{1,2,4},{3,7},{5},{6}}=>{{1,5},{2,3,4,6},{7}}=>[4,2,1] {{1,5},{2},{3},{4,6},{7}}=>{{1},{2,4},{3,7},{5},{6}}=>{{1,5,7},{2,3,4,6}}=>[4,3] {{1,5,7},{2},{3},{4},{6}}=>{{1,3,7},{2},{4},{5},{6}}=>{{1},{2,3,4,5},{6,7}}=>[4,2,1] {{1,5},{2,7},{3},{4},{6}}=>{{1,6},{2},{3,7},{4},{5}}=>{{1,3,4,5},{2,6,7}}=>[4,3] {{1,5},{2},{3,7},{4},{6}}=>{{1,5},{2},{3,7},{4},{6}}=>{{1,4,5},{2,3,6,7}}=>[4,3] {{1,5},{2},{3},{4,7},{6}}=>{{1,4},{2},{3,7},{5},{6}}=>{{1,5},{2,3,4,6,7}}=>[5,2] {{1,5},{2},{3},{4},{6,7}}=>{{1,2},{3,7},{4},{5},{6}}=>{{1,6},{2,3,4,5},{7}}=>[4,2,1] {{1,5},{2},{3},{4},{6},{7}}=>{{1},{2},{3,7},{4},{5},{6}}=>{{1,6,7},{2,3,4,5}}=>[4,3] {{1,6,7},{2,5},{3},{4}}=>{{1,2,7},{3,6},{4},{5}}=>{{1},{2,6},{3,4,5},{7}}=>[3,2,1,1] {{1,6},{2,5,7},{3},{4}}=>{{1,3,6},{2,7},{4},{5}}=>{{1,6},{2,7},{3,4,5}}=>[3,2,2] {{1,6},{2,5},{3,7},{4}}=>{{1,5},{2,7},{3,6},{4}}=>{{1,6},{2,4,5},{3,7}}=>[3,2,2] {{1,6},{2,5},{3},{4,7}}=>{{1,4},{2,7},{3,6},{5}}=>{{1,6},{2,5},{3,4,7}}=>[3,2,2] {{1,6},{2,5},{3},{4},{7}}=>{{1},{2,7},{3,6},{4},{5}}=>{{1,7},{2,6},{3,4,5}}=>[3,2,2] {{1,7},{2,5,6},{3},{4}}=>{{1,7},{2,3,6},{4},{5}}=>{{1},{2,7},{3,4,5},{6}}=>[3,2,1,1] {{1},{2,5,6,7},{3},{4}}=>{{1,2,3,6},{4},{5},{7}}=>{{1,2},{3,4,5},{6},{7}}=>[3,2,1,1] {{1},{2,5,6},{3,7},{4}}=>{{1,5},{2,3,6},{4},{7}}=>{{1,2,4,5},{3,7},{6}}=>[4,2,1] {{1},{2,5,6},{3},{4,7}}=>{{1,4},{2,3,6},{5},{7}}=>{{1,2,5},{3,4,7},{6}}=>[3,3,1] {{1},{2,5,6},{3},{4},{7}}=>{{1},{2,3,6},{4},{5},{7}}=>{{1,2,7},{3,4,5},{6}}=>[3,3,1] {{1,7},{2,5},{3,6},{4}}=>{{1,7},{2,5},{3,6},{4}}=>{{1},{2,4,5,7},{3,6}}=>[4,2,1] {{1},{2,5,7},{3,6},{4}}=>{{1,3,6},{2,5},{4},{7}}=>{{1,2},{3,6},{4,5,7}}=>[3,2,2] {{1},{2,5},{3,6,7},{4}}=>{{1,2,5},{3,6},{4},{7}}=>{{1,2,4,5},{3,6},{7}}=>[4,2,1] {{1},{2,5},{3,6},{4,7}}=>{{1,4},{2,5},{3,6},{7}}=>{{1,2,5},{3,6},{4,7}}=>[3,2,2] {{1},{2,5},{3,6},{4},{7}}=>{{1},{2,5},{3,6},{4},{7}}=>{{1,2,4,5,7},{3,6}}=>[5,2] {{1,7},{2,5},{3},{4,6}}=>{{1,7},{2,4},{3,6},{5}}=>{{1},{2,5,7},{3,4,6}}=>[3,3,1] {{1},{2,5,7},{3},{4,6}}=>{{1,3,6},{2,4},{5},{7}}=>{{1,2},{3,4,6},{5,7}}=>[3,2,2] {{1},{2,5},{3,7},{4,6}}=>{{1,5},{2,4},{3,6},{7}}=>{{1,2,5},{3,7},{4,6}}=>[3,2,2] {{1},{2,5},{3},{4,6,7}}=>{{1,2,4},{3,6},{5},{7}}=>{{1,2,5},{3,4,6},{7}}=>[3,3,1] {{1},{2,5},{3},{4,6},{7}}=>{{1},{2,4},{3,6},{5},{7}}=>{{1,2,5,7},{3,4,6}}=>[4,3] {{1,7},{2,5},{3},{4},{6}}=>{{1,7},{2},{3,6},{4},{5}}=>{{1},{2,6,7},{3,4,5}}=>[3,3,1] {{1},{2,5,7},{3},{4},{6}}=>{{1,3,6},{2},{4},{5},{7}}=>{{1,2},{3,4,5},{6,7}}=>[3,2,2] {{1},{2,5},{3,7},{4},{6}}=>{{1,5},{2},{3,6},{4},{7}}=>{{1,2,4,5},{3,6,7}}=>[4,3] {{1},{2,5},{3},{4,7},{6}}=>{{1,4},{2},{3,6},{5},{7}}=>{{1,2,5},{3,4,6,7}}=>[4,3] {{1},{2,5},{3},{4},{6,7}}=>{{1,2},{3,6},{4},{5},{7}}=>{{1,2,6},{3,4,5},{7}}=>[3,3,1] {{1},{2,5},{3},{4},{6},{7}}=>{{1},{2},{3,6},{4},{5},{7}}=>{{1,2,6,7},{3,4,5}}=>[4,3] {{1,6,7},{2},{3,5},{4}}=>{{1,2,7},{3,5},{4},{6}}=>{{1},{2,3,6},{4,5},{7}}=>[3,2,1,1] {{1,6},{2,7},{3,5},{4}}=>{{1,6},{2,7},{3,5},{4}}=>{{1,3,6},{2,7},{4,5}}=>[3,2,2] {{1,6},{2},{3,5,7},{4}}=>{{1,3,5},{2,7},{4},{6}}=>{{1,6},{2,3,7},{4,5}}=>[3,2,2] {{1,6},{2},{3,5},{4,7}}=>{{1,4},{2,7},{3,5},{6}}=>{{1,6},{2,3,5},{4,7}}=>[3,2,2] {{1,6},{2},{3,5},{4},{7}}=>{{1},{2,7},{3,5},{4},{6}}=>{{1,7},{2,3,6},{4,5}}=>[3,2,2] {{1,7},{2,6},{3,5},{4}}=>{{1,7},{2,6},{3,5},{4}}=>{{1},{2,7},{3,6},{4,5}}=>[2,2,2,1] {{1},{2,6,7},{3,5},{4}}=>{{1,2,6},{3,5},{4},{7}}=>{{1,2},{3,6},{4,5},{7}}=>[2,2,2,1] {{1},{2,6},{3,5,7},{4}}=>{{1,3,5},{2,6},{4},{7}}=>{{1,2,6},{3,7},{4,5}}=>[3,2,2] {{1},{2,6},{3,5},{4,7}}=>{{1,4},{2,6},{3,5},{7}}=>{{1,2,6},{3,5},{4,7}}=>[3,2,2] {{1},{2,6},{3,5},{4},{7}}=>{{1},{2,6},{3,5},{4},{7}}=>{{1,2,7},{3,6},{4,5}}=>[3,2,2] {{1,7},{2},{3,5,6},{4}}=>{{1,7},{2,3,5},{4},{6}}=>{{1},{2,3,7},{4,5},{6}}=>[3,2,1,1] {{1},{2,7},{3,5,6},{4}}=>{{1,6},{2,3,5},{4},{7}}=>{{1,2},{3,7},{4,5},{6}}=>[2,2,2,1] {{1},{2},{3,5,6,7},{4}}=>{{1,2,3,5},{4},{6},{7}}=>{{1,2,3},{4,5},{6},{7}}=>[3,2,1,1] {{1},{2},{3,5,6},{4,7}}=>{{1,4},{2,3,5},{6},{7}}=>{{1,2,3,5},{4,7},{6}}=>[4,2,1] {{1},{2},{3,5,6},{4},{7}}=>{{1},{2,3,5},{4},{6},{7}}=>{{1,2,3,7},{4,5},{6}}=>[4,2,1] {{1,7},{2},{3,5},{4,6}}=>{{1,7},{2,4},{3,5},{6}}=>{{1},{2,3,5,7},{4,6}}=>[4,2,1] {{1},{2,7},{3,5},{4,6}}=>{{1,6},{2,4},{3,5},{7}}=>{{1,2},{3,5,7},{4,6}}=>[3,2,2] {{1},{2},{3,5,7},{4,6}}=>{{1,3,5},{2,4},{6},{7}}=>{{1,2,3},{4,6},{5,7}}=>[3,2,2] {{1},{2},{3,5},{4,6,7}}=>{{1,2,4},{3,5},{6},{7}}=>{{1,2,3,5},{4,6},{7}}=>[4,2,1] {{1},{2},{3,5},{4,6},{7}}=>{{1},{2,4},{3,5},{6},{7}}=>{{1,2,3,5,7},{4,6}}=>[5,2] {{1,7},{2},{3,5},{4},{6}}=>{{1,7},{2},{3,5},{4},{6}}=>{{1},{2,3,6,7},{4,5}}=>[4,2,1] {{1},{2,7},{3,5},{4},{6}}=>{{1,6},{2},{3,5},{4},{7}}=>{{1,2},{3,6,7},{4,5}}=>[3,2,2] {{1},{2},{3,5,7},{4},{6}}=>{{1,3,5},{2},{4},{6},{7}}=>{{1,2,3},{4,5},{6,7}}=>[3,2,2] {{1},{2},{3,5},{4,7},{6}}=>{{1,4},{2},{3,5},{6},{7}}=>{{1,2,3,5},{4,6,7}}=>[4,3] {{1},{2},{3,5},{4},{6,7}}=>{{1,2},{3,5},{4},{6},{7}}=>{{1,2,3,6},{4,5},{7}}=>[4,2,1] {{1},{2},{3,5},{4},{6},{7}}=>{{1},{2},{3,5},{4},{6},{7}}=>{{1,2,3,6,7},{4,5}}=>[5,2] {{1,6,7},{2},{3},{4,5}}=>{{1,2,7},{3,4},{5},{6}}=>{{1},{2,3,4,6},{5},{7}}=>[4,1,1,1] {{1,6},{2,7},{3},{4,5}}=>{{1,6},{2,7},{3,4},{5}}=>{{1,3,4,6},{2,7},{5}}=>[4,2,1] {{1,6},{2},{3,7},{4,5}}=>{{1,5},{2,7},{3,4},{6}}=>{{1,4,6},{2,3,7},{5}}=>[3,3,1] {{1,6},{2},{3},{4,5,7}}=>{{1,3,4},{2,7},{5},{6}}=>{{1,6},{2,3,4,7},{5}}=>[4,2,1] {{1,6},{2},{3},{4,5},{7}}=>{{1},{2,7},{3,4},{5},{6}}=>{{1,7},{2,3,4,6},{5}}=>[4,2,1] {{1,7},{2,6},{3},{4,5}}=>{{1,7},{2,6},{3,4},{5}}=>{{1},{2,7},{3,4,6},{5}}=>[3,2,1,1] {{1},{2,6,7},{3},{4,5}}=>{{1,2,6},{3,4},{5},{7}}=>{{1,2},{3,4,6},{5},{7}}=>[3,2,1,1] {{1},{2,6},{3,7},{4,5}}=>{{1,5},{2,6},{3,4},{7}}=>{{1,2,4,6},{3,7},{5}}=>[4,2,1] {{1},{2,6},{3},{4,5,7}}=>{{1,3,4},{2,6},{5},{7}}=>{{1,2,6},{3,4,7},{5}}=>[3,3,1] {{1},{2,6},{3},{4,5},{7}}=>{{1},{2,6},{3,4},{5},{7}}=>{{1,2,7},{3,4,6},{5}}=>[3,3,1] {{1,7},{2},{3,6},{4,5}}=>{{1,7},{2,5},{3,4},{6}}=>{{1},{2,3,7},{4,6},{5}}=>[3,2,1,1] {{1},{2,7},{3,6},{4,5}}=>{{1,6},{2,5},{3,4},{7}}=>{{1,2},{3,7},{4,6},{5}}=>[2,2,2,1] {{1},{2},{3,6,7},{4,5}}=>{{1,2,5},{3,4},{6},{7}}=>{{1,2,3},{4,6},{5},{7}}=>[3,2,1,1] {{1},{2},{3,6},{4,5,7}}=>{{1,3,4},{2,5},{6},{7}}=>{{1,2,3,6},{4,7},{5}}=>[4,2,1] {{1},{2},{3,6},{4,5},{7}}=>{{1},{2,5},{3,4},{6},{7}}=>{{1,2,3,7},{4,6},{5}}=>[4,2,1] {{1,7},{2},{3},{4,5,6}}=>{{1,7},{2,3,4},{5},{6}}=>{{1},{2,3,4,7},{5},{6}}=>[4,1,1,1] {{1},{2,7},{3},{4,5,6}}=>{{1,6},{2,3,4},{5},{7}}=>{{1,2},{3,4,7},{5},{6}}=>[3,2,1,1] {{1},{2},{3,7},{4,5,6}}=>{{1,5},{2,3,4},{6},{7}}=>{{1,2,3},{4,7},{5},{6}}=>[3,2,1,1] {{1},{2},{3},{4,5,6,7}}=>{{1,2,3,4},{5},{6},{7}}=>{{1,2,3,4},{5},{6},{7}}=>[4,1,1,1] {{1},{2},{3},{4,5,6},{7}}=>{{1},{2,3,4},{5},{6},{7}}=>{{1,2,3,4,7},{5},{6}}=>[5,1,1] {{1,7},{2},{3},{4,5},{6}}=>{{1,7},{2},{3,4},{5},{6}}=>{{1},{2,3,4,6,7},{5}}=>[5,1,1] {{1},{2,7},{3},{4,5},{6}}=>{{1,6},{2},{3,4},{5},{7}}=>{{1,2},{3,4,6,7},{5}}=>[4,2,1] {{1},{2},{3,7},{4,5},{6}}=>{{1,5},{2},{3,4},{6},{7}}=>{{1,2,3},{4,6,7},{5}}=>[3,3,1] {{1},{2},{3},{4,5,7},{6}}=>{{1,3,4},{2},{5},{6},{7}}=>{{1,2,3,4},{5},{6,7}}=>[4,2,1] {{1},{2},{3},{4,5},{6,7}}=>{{1,2},{3,4},{5},{6},{7}}=>{{1,2,3,4,6},{5},{7}}=>[5,1,1] {{1},{2},{3},{4,5},{6},{7}}=>{{1},{2},{3,4},{5},{6},{7}}=>{{1,2,3,4,6,7},{5}}=>[6,1] {{1,6,7},{2},{3},{4},{5}}=>{{1,2,7},{3},{4},{5},{6}}=>{{1},{2,3,4,5,6},{7}}=>[5,1,1] {{1,6},{2,7},{3},{4},{5}}=>{{1,6},{2,7},{3},{4},{5}}=>{{1,3,4,5,6},{2,7}}=>[5,2] {{1,6},{2},{3,7},{4},{5}}=>{{1,5},{2,7},{3},{4},{6}}=>{{1,4,5,6},{2,3,7}}=>[4,3] {{1,6},{2},{3},{4,7},{5}}=>{{1,4},{2,7},{3},{5},{6}}=>{{1,5,6},{2,3,4,7}}=>[4,3] {{1,6},{2},{3},{4},{5,7}}=>{{1,3},{2,7},{4},{5},{6}}=>{{1,6},{2,3,4,5,7}}=>[5,2] {{1,6},{2},{3},{4},{5},{7}}=>{{1},{2,7},{3},{4},{5},{6}}=>{{1,7},{2,3,4,5,6}}=>[5,2] {{1,7},{2,6},{3},{4},{5}}=>{{1,7},{2,6},{3},{4},{5}}=>{{1},{2,7},{3,4,5,6}}=>[4,2,1] {{1},{2,6,7},{3},{4},{5}}=>{{1,2,6},{3},{4},{5},{7}}=>{{1,2},{3,4,5,6},{7}}=>[4,2,1] {{1},{2,6},{3,7},{4},{5}}=>{{1,5},{2,6},{3},{4},{7}}=>{{1,2,4,5,6},{3,7}}=>[5,2] {{1},{2,6},{3},{4,7},{5}}=>{{1,4},{2,6},{3},{5},{7}}=>{{1,2,5,6},{3,4,7}}=>[4,3] {{1},{2,6},{3},{4},{5,7}}=>{{1,3},{2,6},{4},{5},{7}}=>{{1,2,6},{3,4,5,7}}=>[4,3] {{1},{2,6},{3},{4},{5},{7}}=>{{1},{2,6},{3},{4},{5},{7}}=>{{1,2,7},{3,4,5,6}}=>[4,3] {{1,7},{2},{3,6},{4},{5}}=>{{1,7},{2,5},{3},{4},{6}}=>{{1},{2,3,7},{4,5,6}}=>[3,3,1] {{1},{2,7},{3,6},{4},{5}}=>{{1,6},{2,5},{3},{4},{7}}=>{{1,2},{3,7},{4,5,6}}=>[3,2,2] {{1},{2},{3,6,7},{4},{5}}=>{{1,2,5},{3},{4},{6},{7}}=>{{1,2,3},{4,5,6},{7}}=>[3,3,1] {{1},{2},{3,6},{4,7},{5}}=>{{1,4},{2,5},{3},{6},{7}}=>{{1,2,3,5,6},{4,7}}=>[5,2] {{1},{2},{3,6},{4},{5,7}}=>{{1,3},{2,5},{4},{6},{7}}=>{{1,2,3,6},{4,5,7}}=>[4,3] {{1},{2},{3,6},{4},{5},{7}}=>{{1},{2,5},{3},{4},{6},{7}}=>{{1,2,3,7},{4,5,6}}=>[4,3] {{1,7},{2},{3},{4,6},{5}}=>{{1,7},{2,4},{3},{5},{6}}=>{{1},{2,3,4,7},{5,6}}=>[4,2,1] {{1},{2,7},{3},{4,6},{5}}=>{{1,6},{2,4},{3},{5},{7}}=>{{1,2},{3,4,7},{5,6}}=>[3,2,2] {{1},{2},{3,7},{4,6},{5}}=>{{1,5},{2,4},{3},{6},{7}}=>{{1,2,3},{4,7},{5,6}}=>[3,2,2] {{1},{2},{3},{4,6,7},{5}}=>{{1,2,4},{3},{5},{6},{7}}=>{{1,2,3,4},{5,6},{7}}=>[4,2,1] {{1},{2},{3},{4,6},{5,7}}=>{{1,3},{2,4},{5},{6},{7}}=>{{1,2,3,4,6},{5,7}}=>[5,2] {{1},{2},{3},{4,6},{5},{7}}=>{{1},{2,4},{3},{5},{6},{7}}=>{{1,2,3,4,7},{5,6}}=>[5,2] {{1,7},{2},{3},{4},{5,6}}=>{{1,7},{2,3},{4},{5},{6}}=>{{1},{2,3,4,5,7},{6}}=>[5,1,1] {{1},{2,7},{3},{4},{5,6}}=>{{1,6},{2,3},{4},{5},{7}}=>{{1,2},{3,4,5,7},{6}}=>[4,2,1] {{1},{2},{3,7},{4},{5,6}}=>{{1,5},{2,3},{4},{6},{7}}=>{{1,2,3},{4,5,7},{6}}=>[3,3,1] {{1},{2},{3},{4,7},{5,6}}=>{{1,4},{2,3},{5},{6},{7}}=>{{1,2,3,4},{5,7},{6}}=>[4,2,1] {{1},{2},{3},{4},{5,6,7}}=>{{1,2,3},{4},{5},{6},{7}}=>{{1,2,3,4,5},{6},{7}}=>[5,1,1] {{1},{2},{3},{4},{5,6},{7}}=>{{1},{2,3},{4},{5},{6},{7}}=>{{1,2,3,4,5,7},{6}}=>[6,1] {{1,7},{2},{3},{4},{5},{6}}=>{{1,7},{2},{3},{4},{5},{6}}=>{{1},{2,3,4,5,6,7}}=>[6,1] {{1},{2,7},{3},{4},{5},{6}}=>{{1,6},{2},{3},{4},{5},{7}}=>{{1,2},{3,4,5,6,7}}=>[5,2] {{1},{2},{3,7},{4},{5},{6}}=>{{1,5},{2},{3},{4},{6},{7}}=>{{1,2,3},{4,5,6,7}}=>[4,3] {{1},{2},{3},{4,7},{5},{6}}=>{{1,4},{2},{3},{5},{6},{7}}=>{{1,2,3,4},{5,6,7}}=>[4,3] {{1},{2},{3},{4},{5,7},{6}}=>{{1,3},{2},{4},{5},{6},{7}}=>{{1,2,3,4,5},{6,7}}=>[5,2] {{1},{2},{3},{4},{5},{6,7}}=>{{1,2},{3},{4},{5},{6},{7}}=>{{1,2,3,4,5,6},{7}}=>[6,1] {{1},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3},{4},{5},{6},{7}}=>{{1,2,3,4,5,6,7}}=>[7] {{1,2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7,8}}=>{{1,3,5,7},{2},{4},{6},{8}}=>[4,1,1,1,1] {{1,3},{2,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,7},{6,8}}=>{{1,3,5,7},{2,4},{6},{8}}=>[4,2,1,1] {{1,4},{2,3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6,7}}=>{{1,5,7},{2,4},{3},{6},{8}}=>[3,2,1,1,1] {{1,5},{2,3},{4,6},{7,8}}=>{{1,2},{3,5},{4,8},{6,7}}=>{{1,5,7},{2,4,6},{3},{8}}=>[3,3,1,1] {{1,6},{2,3},{4,5},{7,8}}=>{{1,2},{3,8},{4,5},{6,7}}=>{{1,7},{2,4,6},{3},{5},{8}}=>[3,2,1,1,1] {{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,8},{4,5},{6,7}}=>{{1,7},{2,4,6,8},{3},{5}}=>[4,2,1,1] {{1,8},{2,3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6,7}}=>{{1},{2,4,6,8},{3},{5},{7}}=>[4,1,1,1,1] {{1,8},{2,4},{3,5},{6,7}}=>{{1,8},{2,3},{4,6},{5,7}}=>{{1},{2,4,6,8},{3,5},{7}}=>[4,2,1,1] {{1,7},{2,4},{3,5},{6,8}}=>{{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>[2,2,2,2] {{1,6},{2,4},{3,5},{7,8}}=>{{1,2},{3,8},{4,6},{5,7}}=>{{1,7},{2,4,6},{3,5},{8}}=>[3,2,2,1] {{1,5},{2,4},{3,6},{7,8}}=>{{1,2},{3,6},{4,8},{5,7}}=>{{1,5,7},{2,4},{3,6},{8}}=>[3,2,2,1] {{1,4},{2,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,7},{5,8}}=>{{1,4,7},{2,5},{3,6},{8}}=>[3,2,2,1] {{1,3},{2,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,7},{6,8}}=>{{1,3,7},{2,5},{4,6},{8}}=>[3,2,2,1] {{1,2},{3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6},{7,8}}=>{{1,3,5,7},{2},{4,6},{8}}=>[4,2,1,1] {{1,2},{3,6},{4,5},{7,8}}=>{{1,2},{3,6},{4,5},{7,8}}=>{{1,3,7},{2},{4,6},{5},{8}}=>[3,2,1,1,1] {{1,3},{2,6},{4,5},{7,8}}=>{{1,2},{3,7},{4,5},{6,8}}=>{{1,3,7},{2,4,6},{5},{8}}=>[3,3,1,1] {{1,4},{2,6},{3,5},{7,8}}=>{{1,2},{3,7},{4,6},{5,8}}=>{{1,4,7},{2,6},{3,5},{8}}=>[3,2,2,1] {{1,5},{2,6},{3,4},{7,8}}=>{{1,2},{3,7},{4,8},{5,6}}=>{{1,3,5,7},{2,6},{4},{8}}=>[4,2,1,1] {{1,6},{2,5},{3,4},{7,8}}=>{{1,2},{3,8},{4,7},{5,6}}=>{{1,7},{2,6},{3,5},{4},{8}}=>[2,2,2,1,1] {{1,7},{2,5},{3,4},{6,8}}=>{{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,6,8},{3,5},{4}}=>[3,2,2,1] {{1,8},{2,5},{3,4},{6,7}}=>{{1,8},{2,3},{4,7},{5,6}}=>{{1},{2,6,8},{3,5},{4},{7}}=>[3,2,1,1,1] {{1,8},{2,6},{3,4},{5,7}}=>{{1,8},{2,4},{3,7},{5,6}}=>{{1},{2,6,8},{3,5,7},{4}}=>[3,3,1,1] {{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,5,8},{4}}=>[3,2,2,1] {{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,7},{3,5,8},{4}}=>[3,2,2,1] {{1,5},{2,7},{3,4},{6,8}}=>{{1,3},{2,7},{4,8},{5,6}}=>{{1,3,5},{2,7},{4},{6,8}}=>[3,2,2,1] {{1,4},{2,7},{3,5},{6,8}}=>{{1,3},{2,7},{4,6},{5,8}}=>{{1,4},{2,7},{3,5},{6,8}}=>[2,2,2,2] {{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,5},{6,8}}=>{{1,3},{2,7},{4,6,8},{5}}=>[3,2,2,1] {{1,2},{3,7},{4,5},{6,8}}=>{{1,3},{2,6},{4,5},{7,8}}=>{{1,3,7},{2},{4,6,8},{5}}=>[3,3,1,1] {{1,2},{3,8},{4,5},{6,7}}=>{{1,6},{2,3},{4,5},{7,8}}=>{{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,1,1] {{1,3},{2,8},{4,5},{6,7}}=>{{1,7},{2,3},{4,5},{6,8}}=>{{1,3},{2,4,6,8},{5},{7}}=>[4,2,1,1] {{1,4},{2,8},{3,5},{6,7}}=>{{1,7},{2,3},{4,6},{5,8}}=>{{1,4},{2,6,8},{3,5},{7}}=>[3,2,2,1] {{1,5},{2,8},{3,4},{6,7}}=>{{1,7},{2,3},{4,8},{5,6}}=>{{1,3,5},{2,6,8},{4},{7}}=>[3,3,1,1] {{1,6},{2,8},{3,4},{5,7}}=>{{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,8},{3,5,7},{4}}=>[3,2,2,1] {{1,7},{2,8},{3,4},{5,6}}=>{{1,7},{2,8},{3,4},{5,6}}=>{{1,3,5,7},{2,8},{4},{6}}=>[4,2,1,1] {{1,8},{2,7},{3,4},{5,6}}=>{{1,8},{2,7},{3,4},{5,6}}=>{{1},{2,8},{3,5,7},{4},{6}}=>[3,2,1,1,1] {{1,8},{2,7},{3,5},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}=>{{1},{2,8},{3,5,7},{4,6}}=>[3,2,2,1] {{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}=>{{1,7},{2,8},{3,5},{4,6}}=>[2,2,2,2] {{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>[2,2,2,2] {{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>[2,2,2,2] {{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>[2,2,2,2] {{1,3},{2,8},{4,6},{5,7}}=>{{1,7},{2,4},{3,5},{6,8}}=>{{1,3},{2,8},{4,6},{5,7}}=>[2,2,2,2] {{1,2},{3,8},{4,6},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}}=>{{1,3},{2},{4,6,8},{5,7}}=>[3,2,2,1] {{1,2},{3,7},{4,6},{5,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>{{1,3,7},{2},{4,6},{5,8}}=>[3,2,2,1] {{1,3},{2,7},{4,6},{5,8}}=>{{1,4},{2,7},{3,5},{6,8}}=>{{1,3},{2,7},{4,6},{5,8}}=>[2,2,2,2] {{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}}=>{{1,4},{2,7},{3,6},{5,8}}=>[2,2,2,2] {{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>{{1,5},{2,7},{3,6},{4,8}}=>[2,2,2,2] {{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>[2,2,2,2] {{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}=>[2,2,2,2] {{1,8},{2,6},{3,5},{4,7}}=>{{1,8},{2,5},{3,7},{4,6}}=>{{1},{2,6,8},{3,5},{4,7}}=>[3,2,2,1] {{1,8},{2,5},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}=>{{1},{2,5,8},{3,6},{4,7}}=>[3,2,2,1] {{1,7},{2,5},{3,6},{4,8}}=>{{1,5},{2,8},{3,6},{4,7}}=>{{1,7},{2,5},{3,6},{4,8}}=>[2,2,2,2] {{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}}=>[2,2,2,2] {{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4,8}}=>[2,2,2,2] {{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,7},{5,8}}=>[2,2,2,2] {{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}=>[2,2,2,2] {{1,2},{3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>{{1,3,6},{2},{4,7},{5,8}}=>[3,2,2,1] {{1,2},{3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7,8}}=>{{1,3,5},{2},{4,7},{6,8}}=>[3,2,2,1] {{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,7},{6,8}}=>[2,2,2,2] {{1,4},{2,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,7},{6,8}}=>[2,2,2,2] {{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>[2,2,2,2] {{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}}=>[2,2,2,2] {{1,7},{2,4},{3,6},{5,8}}=>{{1,4},{2,8},{3,6},{5,7}}=>{{1,7},{2,4},{3,6},{5,8}}=>[2,2,2,2] {{1,8},{2,4},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}=>{{1},{2,4,8},{3,6},{5,7}}=>[3,2,2,1] {{1,8},{2,3},{4,6},{5,7}}=>{{1,8},{2,4},{3,5},{6,7}}=>{{1},{2,4,6,8},{3},{5,7}}=>[4,2,1,1] {{1,7},{2,3},{4,6},{5,8}}=>{{1,4},{2,8},{3,5},{6,7}}=>{{1,7},{2,4,6},{3},{5,8}}=>[3,2,2,1] {{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>{{1,6},{2,4,7},{3},{5,8}}=>[3,2,2,1] {{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,4,7},{3},{6,8}}=>[3,2,2,1] {{1,4},{2,3},{5,7},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}=>{{1,5,7},{2,4},{3},{6,8}}=>[3,2,2,1] {{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,7},{6,8}}=>[2,2,2,2] {{1,2},{3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>{{1,3,5,7},{2},{4},{6,8}}=>[4,2,1,1] {{1,2},{3,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,6},{7,8}}=>{{1,3,5},{2},{4},{6,8},{7}}=>[3,2,1,1,1] {{1,3},{2,4},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6,8}}=>{{1,3,5},{2,4},{6,8},{7}}=>[3,2,2,1] {{1,4},{2,3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6,7}}=>{{1,5},{2,4},{3},{6,8},{7}}=>[2,2,2,1,1] {{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,3},{4,8},{6,7}}=>{{1,5},{2,4,6,8},{3},{7}}=>[4,2,1,1] {{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,4},{3,8},{6,7}}=>{{1,6},{2,4,8},{3},{5,7}}=>[3,2,2,1] {{1,7},{2,3},{4,8},{5,6}}=>{{1,5},{2,8},{3,4},{6,7}}=>{{1,5,7},{2,4,8},{3},{6}}=>[3,3,1,1] {{1,8},{2,3},{4,7},{5,6}}=>{{1,8},{2,5},{3,4},{6,7}}=>{{1},{2,4,8},{3},{5,7},{6}}=>[3,2,1,1,1] {{1,8},{2,4},{3,7},{5,6}}=>{{1,8},{2,6},{3,4},{5,7}}=>{{1},{2,4,8},{3,5,7},{6}}=>[3,3,1,1] {{1,7},{2,4},{3,8},{5,6}}=>{{1,6},{2,8},{3,4},{5,7}}=>{{1,5,7},{2,4},{3,8},{6}}=>[3,2,2,1] {{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}=>{{1,6},{2,4},{3,8},{5,7}}=>[2,2,2,2] {{1,5},{2,4},{3,8},{6,7}}=>{{1,6},{2,3},{4,8},{5,7}}=>{{1,5},{2,4},{3,6,8},{7}}=>[3,2,2,1] {{1,4},{2,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,7},{5,8}}=>{{1,4},{2,5},{3,6,8},{7}}=>[3,2,2,1] {{1,3},{2,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,7},{6,8}}=>{{1,3},{2,5},{4,6,8},{7}}=>[3,2,2,1] {{1,2},{3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6},{7,8}}=>{{1,3,5},{2},{4,6,8},{7}}=>[3,3,1,1] {{1,2},{3,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>{{1,3,6},{2},{4,8},{5,7}}=>[3,2,2,1] {{1,3},{2,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6,8}}=>{{1,3},{2,6},{4,8},{5,7}}=>[2,2,2,2] {{1,4},{2,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,7},{5,8}}=>{{1,4},{2,6},{3,8},{5,7}}=>[2,2,2,2] {{1,5},{2,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,7},{4,8}}=>{{1,5},{2,6},{3,8},{4,7}}=>[2,2,2,2] {{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}=>{{1,6},{2,5},{3,8},{4,7}}=>[2,2,2,2] {{1,7},{2,5},{3,8},{4,6}}=>{{1,6},{2,8},{3,5},{4,7}}=>{{1,7},{2,5},{3,8},{4,6}}=>[2,2,2,2] {{1,8},{2,5},{3,7},{4,6}}=>{{1,8},{2,6},{3,5},{4,7}}=>{{1},{2,5,8},{3,7},{4,6}}=>[3,2,2,1] {{1,8},{2,6},{3,7},{4,5}}=>{{1,8},{2,6},{3,7},{4,5}}=>{{1},{2,4,6,8},{3,7},{5}}=>[4,2,1,1] {{1,7},{2,6},{3,8},{4,5}}=>{{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,4,6},{3,8},{5}}=>[3,2,2,1] {{1,6},{2,7},{3,8},{4,5}}=>{{1,6},{2,7},{3,8},{4,5}}=>{{1,4,6},{2,7},{3,8},{5}}=>[3,2,2,1] {{1,5},{2,7},{3,8},{4,6}}=>{{1,6},{2,7},{3,5},{4,8}}=>{{1,5},{2,7},{3,8},{4,6}}=>[2,2,2,2] {{1,4},{2,7},{3,8},{5,6}}=>{{1,6},{2,7},{3,4},{5,8}}=>{{1,4},{2,5,7},{3,8},{6}}=>[3,2,2,1] {{1,3},{2,7},{4,8},{5,6}}=>{{1,5},{2,7},{3,4},{6,8}}=>{{1,3},{2,5,7},{4,8},{6}}=>[3,2,2,1] {{1,2},{3,7},{4,8},{5,6}}=>{{1,5},{2,6},{3,4},{7,8}}=>{{1,3,5,7},{2},{4,8},{6}}=>[4,2,1,1] {{1,2},{3,8},{4,7},{5,6}}=>{{1,6},{2,5},{3,4},{7,8}}=>{{1,3},{2},{4,8},{5,7},{6}}=>[2,2,2,1,1] {{1,3},{2,8},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6,8}}=>{{1,3},{2,4,8},{5,7},{6}}=>[3,2,2,1] {{1,4},{2,8},{3,7},{5,6}}=>{{1,7},{2,6},{3,4},{5,8}}=>{{1,4},{2,8},{3,5,7},{6}}=>[3,2,2,1] {{1,5},{2,8},{3,7},{4,6}}=>{{1,7},{2,6},{3,5},{4,8}}=>{{1,5},{2,8},{3,7},{4,6}}=>[2,2,2,2] {{1,6},{2,8},{3,7},{4,5}}=>{{1,7},{2,6},{3,8},{4,5}}=>{{1,4,6},{2,8},{3,7},{5}}=>[3,2,2,1] {{1,7},{2,8},{3,6},{4,5}}=>{{1,7},{2,8},{3,6},{4,5}}=>{{1,3,7},{2,8},{4,6},{5}}=>[3,2,2,1] {{1,8},{2,7},{3,6},{4,5}}=>{{1,8},{2,7},{3,6},{4,5}}=>{{1},{2,8},{3,7},{4,6},{5}}=>[2,2,2,1,1] {{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,8},{9,10}}=>{{1,3,5,7,9},{2},{4},{6},{8},{10}}=>[5,1,1,1,1,1] {{1,4},{2,3},{5,6},{7,8},{9,10}}=>{{1,2},{3,4},{5,6},{7,10},{8,9}}=>{{1,5,7,9},{2,4},{3},{6},{8},{10}}=>[4,2,1,1,1,1] {{1,6},{2,3},{4,5},{7,8},{9,10}}=>{{1,2},{3,4},{5,10},{6,7},{8,9}}=>{{1,7,9},{2,4,6},{3},{5},{8},{10}}=>[3,3,1,1,1,1] {{1,8},{2,3},{4,5},{6,7},{9,10}}=>{{1,2},{3,10},{4,5},{6,7},{8,9}}=>{{1,9},{2,4,6,8},{3},{5},{7},{10}}=>[4,2,1,1,1,1] {{1,10},{2,3},{4,5},{6,7},{8,9}}=>{{1,10},{2,3},{4,5},{6,7},{8,9}}=>{{1},{2,4,6,8,10},{3},{5},{7},{9}}=>[5,1,1,1,1,1] {{1,2},{3,6},{4,5},{7,8},{9,10}}=>{{1,2},{3,4},{5,8},{6,7},{9,10}}=>{{1,3,7,9},{2},{4,6},{5},{8},{10}}=>[4,2,1,1,1,1] {{1,6},{2,5},{3,4},{7,8},{9,10}}=>{{1,2},{3,4},{5,10},{6,9},{7,8}}=>{{1,7,9},{2,6},{3,5},{4},{8},{10}}=>[3,2,2,1,1,1] {{1,8},{2,5},{3,4},{6,7},{9,10}}=>{{1,2},{3,10},{4,5},{6,9},{7,8}}=>{{1,9},{2,6,8},{3,5},{4},{7},{10}}=>[3,2,2,1,1,1] {{1,10},{2,5},{3,4},{6,7},{8,9}}=>{{1,10},{2,3},{4,5},{6,9},{7,8}}=>{{1},{2,6,8,10},{3,5},{4},{7},{9}}=>[4,2,1,1,1,1] {{1,2},{3,8},{4,5},{6,7},{9,10}}=>{{1,2},{3,8},{4,5},{6,7},{9,10}}=>{{1,3,9},{2},{4,6,8},{5},{7},{10}}=>[3,3,1,1,1,1] {{1,8},{2,7},{3,4},{5,6},{9,10}}=>{{1,2},{3,10},{4,9},{5,6},{7,8}}=>{{1,9},{2,8},{3,5,7},{4},{6},{10}}=>[3,2,2,1,1,1] {{1,10},{2,7},{3,4},{5,6},{8,9}}=>{{1,10},{2,3},{4,9},{5,6},{7,8}}=>{{1},{2,8,10},{3,5,7},{4},{6},{9}}=>[3,3,1,1,1,1] {{1,2},{3,10},{4,5},{6,7},{8,9}}=>{{1,8},{2,3},{4,5},{6,7},{9,10}}=>{{1,3},{2},{4,6,8,10},{5},{7},{9}}=>[4,2,1,1,1,1] {{1,10},{2,9},{3,4},{5,6},{7,8}}=>{{1,10},{2,9},{3,4},{5,6},{7,8}}=>{{1},{2,10},{3,5,7,9},{4},{6},{8}}=>[4,2,1,1,1,1] {{1,2},{3,4},{5,8},{6,7},{9,10}}=>{{1,2},{3,6},{4,5},{7,8},{9,10}}=>{{1,3,5,9},{2},{4},{6,8},{7},{10}}=>[4,2,1,1,1,1] {{1,4},{2,3},{5,8},{6,7},{9,10}}=>{{1,2},{3,6},{4,5},{7,10},{8,9}}=>{{1,5,9},{2,4},{3},{6,8},{7},{10}}=>[3,2,2,1,1,1] {{1,8},{2,3},{4,7},{5,6},{9,10}}=>{{1,2},{3,10},{4,7},{5,6},{8,9}}=>{{1,9},{2,4,8},{3},{5,7},{6},{10}}=>[3,2,2,1,1,1] {{1,10},{2,3},{4,7},{5,6},{8,9}}=>{{1,10},{2,3},{4,7},{5,6},{8,9}}=>{{1},{2,4,8,10},{3},{5,7},{6},{9}}=>[4,2,1,1,1,1] {{1,2},{3,8},{4,7},{5,6},{9,10}}=>{{1,2},{3,8},{4,7},{5,6},{9,10}}=>{{1,3,9},{2},{4,8},{5,7},{6},{10}}=>[3,2,2,1,1,1] {{1,8},{2,7},{3,6},{4,5},{9,10}}=>{{1,2},{3,10},{4,9},{5,8},{6,7}}=>{{1,9},{2,8},{3,7},{4,6},{5},{10}}=>[2,2,2,2,1,1] {{1,10},{2,7},{3,6},{4,5},{8,9}}=>{{1,10},{2,3},{4,9},{5,8},{6,7}}=>{{1},{2,8,10},{3,7},{4,6},{5},{9}}=>[3,2,2,1,1,1] {{1,2},{3,10},{4,7},{5,6},{8,9}}=>{{1,8},{2,3},{4,7},{5,6},{9,10}}=>{{1,3},{2},{4,8,10},{5,7},{6},{9}}=>[3,2,2,1,1,1] {{1,10},{2,9},{3,6},{4,5},{7,8}}=>{{1,10},{2,9},{3,4},{5,8},{6,7}}=>{{1},{2,10},{3,7,9},{4,6},{5},{8}}=>[3,2,2,1,1,1] {{1,2},{3,4},{5,10},{6,7},{8,9}}=>{{1,6},{2,3},{4,5},{7,8},{9,10}}=>{{1,3,5},{2},{4},{6,8,10},{7},{9}}=>[3,3,1,1,1,1] {{1,4},{2,3},{5,10},{6,7},{8,9}}=>{{1,6},{2,3},{4,5},{7,10},{8,9}}=>{{1,5},{2,4},{3},{6,8,10},{7},{9}}=>[3,2,2,1,1,1] {{1,10},{2,3},{4,9},{5,6},{7,8}}=>{{1,10},{2,7},{3,4},{5,6},{8,9}}=>{{1},{2,4,10},{3},{5,7,9},{6},{8}}=>[3,3,1,1,1,1] {{1,2},{3,10},{4,9},{5,6},{7,8}}=>{{1,8},{2,7},{3,4},{5,6},{9,10}}=>{{1,3},{2},{4,10},{5,7,9},{6},{8}}=>[3,2,2,1,1,1] {{1,10},{2,9},{3,8},{4,5},{6,7}}=>{{1,10},{2,9},{3,8},{4,5},{6,7}}=>{{1},{2,10},{3,9},{4,6,8},{5},{7}}=>[3,2,2,1,1,1] {{1,6},{2,7},{3,8},{4,9},{5,10}}=>{{1,6},{2,7},{3,8},{4,9},{5,10}}=>{{1,6},{2,7},{3,8},{4,9},{5,10}}=>[2,2,2,2,2] {{1,2},{3,4},{5,6},{7,9},{8,10}}=>{{1,3},{2,4},{5,6},{7,8},{9,10}}=>{{1,3,5,7,9},{2},{4},{6},{8,10}}=>[5,2,1,1,1] {{1,2},{3,4},{5,6},{7,10},{8,9}}=>{{1,4},{2,3},{5,6},{7,8},{9,10}}=>{{1,3,5,7},{2},{4},{6},{8,10},{9}}=>[4,2,1,1,1,1] {{1,4},{2,3},{5,6},{7,10},{8,9}}=>{{1,4},{2,3},{5,6},{7,10},{8,9}}=>{{1,5,7},{2,4},{3},{6},{8,10},{9}}=>[3,2,2,1,1,1] {{1,6},{2,3},{4,5},{7,10},{8,9}}=>{{1,4},{2,3},{5,10},{6,7},{8,9}}=>{{1,7},{2,4,6},{3},{5},{8,10},{9}}=>[3,2,2,1,1,1] {{1,10},{2,3},{4,5},{6,9},{7,8}}=>{{1,10},{2,5},{3,4},{6,7},{8,9}}=>{{1},{2,4,6,10},{3},{5},{7,9},{8}}=>[4,2,1,1,1,1] {{1,2},{3,6},{4,5},{7,10},{8,9}}=>{{1,4},{2,3},{5,8},{6,7},{9,10}}=>{{1,3,7},{2},{4,6},{5},{8,10},{9}}=>[3,2,2,1,1,1] {{1,6},{2,5},{3,4},{7,10},{8,9}}=>{{1,4},{2,3},{5,10},{6,9},{7,8}}=>{{1,7},{2,6},{3,5},{4},{8,10},{9}}=>[2,2,2,2,1,1] {{1,10},{2,5},{3,4},{6,9},{7,8}}=>{{1,10},{2,5},{3,4},{6,9},{7,8}}=>{{1},{2,6,10},{3,5},{4},{7,9},{8}}=>[3,2,2,1,1,1] {{1,2},{3,10},{4,5},{6,9},{7,8}}=>{{1,8},{2,5},{3,4},{6,7},{9,10}}=>{{1,3},{2},{4,6,10},{5},{7,9},{8}}=>[3,2,2,1,1,1] {{1,10},{2,9},{3,4},{5,8},{6,7}}=>{{1,10},{2,9},{3,6},{4,5},{7,8}}=>{{1},{2,10},{3,5,9},{4},{6,8},{7}}=>[3,2,2,1,1,1] {{1,2},{3,4},{5,10},{6,9},{7,8}}=>{{1,6},{2,5},{3,4},{7,8},{9,10}}=>{{1,3,5},{2},{4},{6,10},{7,9},{8}}=>[3,2,2,1,1,1] {{1,4},{2,3},{5,10},{6,9},{7,8}}=>{{1,6},{2,5},{3,4},{7,10},{8,9}}=>{{1,5},{2,4},{3},{6,10},{7,9},{8}}=>[2,2,2,2,1,1] {{1,10},{2,3},{4,9},{5,8},{6,7}}=>{{1,10},{2,7},{3,6},{4,5},{8,9}}=>{{1},{2,4,10},{3},{5,9},{6,8},{7}}=>[3,2,2,1,1,1] {{1,2},{3,10},{4,9},{5,8},{6,7}}=>{{1,8},{2,7},{3,6},{4,5},{9,10}}=>{{1,3},{2},{4,10},{5,9},{6,8},{7}}=>[2,2,2,2,1,1] {{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1,10},{2,9},{3,8},{4,7},{5,6}}=>{{1},{2,10},{3,9},{4,8},{5,7},{6}}=>[2,2,2,2,1,1] {{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>{{1,2,3,4,5,6,7,8}}=>[8] {{1},{2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7},{8}}=>{{1,2,3,4,5,6,7},{8}}=>[7,1] {{1},{2},{3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8}}=>{{1,2,3,4,5,6,8},{7}}=>[7,1] {{1},{2},{3},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6},{7},{8}}=>{{1,2,3,4,5,6},{7,8}}=>[6,2] {{1},{2},{3},{4},{5},{6,7,8}}=>{{1,2,3},{4},{5},{6},{7},{8}}=>{{1,2,3,4,5,6},{7},{8}}=>[6,1,1] {{1},{2},{3},{4},{5,6},{7,8}}=>{{1,2},{3,4},{5},{6},{7},{8}}=>{{1,2,3,4,5,7},{6},{8}}=>[6,1,1] {{1},{2},{3},{4},{5,7},{6},{8}}=>{{1},{2,4},{3},{5},{6},{7},{8}}=>{{1,2,3,4,5,8},{6,7}}=>[6,2] {{1},{2},{3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6},{7},{8}}=>{{1,2,3,4,5},{6,7,8}}=>[5,3] {{1},{2},{3},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6},{7},{8}}=>{{1,2,3,4,5},{6,7},{8}}=>[5,2,1] {{1},{2},{3},{4},{5,8},{6,7}}=>{{1,4},{2,3},{5},{6},{7},{8}}=>{{1,2,3,4,5},{6,8},{7}}=>[5,2,1] {{1},{2},{3},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6},{7},{8}}=>{{1,2,3,4,5},{6},{7},{8}}=>[5,1,1,1] {{1},{2},{3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6},{7},{8}}=>{{1,2,3,4,6,7,8},{5}}=>[7,1] {{1},{2},{3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6},{7},{8}}=>{{1,2,3,4,6,8},{5},{7}}=>[6,1,1] {{1},{2},{3},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6},{7},{8}}=>{{1,2,3,4,6},{5},{7,8}}=>[5,2,1] {{1},{2},{3},{4,5},{6,7,8}}=>{{1,2,3},{4,5},{6},{7},{8}}=>{{1,2,3,4,6},{5},{7},{8}}=>[5,1,1,1] {{1},{2},{3},{4,6},{5},{7,8}}=>{{1,2},{3,5},{4},{6},{7},{8}}=>{{1,2,3,4,7},{5,6},{8}}=>[5,2,1] {{1},{2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7},{8}}=>{{1,2,3,4},{5,6,7,8}}=>[4,4] {{1},{2},{3},{4,7,8},{5},{6}}=>{{1,2,5},{3},{4},{6},{7},{8}}=>{{1,2,3,4},{5,6,7},{8}}=>[4,3,1] {{1},{2},{3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6},{7},{8}}=>{{1,2,3,4,8},{5,6},{7}}=>[5,2,1] {{1},{2},{3},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6},{7},{8}}=>{{1,2,3,4},{5,6,8},{7}}=>[4,3,1] {{1},{2},{3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6},{7},{8}}=>{{1,2,3,4},{5,6},{7,8}}=>[4,2,2] {{1},{2},{3},{4,5,6},{7},{8}}=>{{1},{2},{3,4,5},{6},{7},{8}}=>{{1,2,3,4,7,8},{5},{6}}=>[6,1,1] {{1},{2},{3},{4,5,6},{7,8}}=>{{1,2},{3,4,5},{6},{7},{8}}=>{{1,2,3,4,7},{5},{6},{8}}=>[5,1,1,1] {{1},{2},{3},{4,8},{5,6},{7}}=>{{1,5},{2},{3,4},{6},{7},{8}}=>{{1,2,3,4},{5,7,8},{6}}=>[4,3,1] {{1},{2},{3},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6},{7},{8}}=>{{1,2,3,4},{5,8},{6,7}}=>[4,2,2] {{1},{2},{3},{4,5,6,7},{8}}=>{{1},{2,3,4,5},{6},{7},{8}}=>{{1,2,3,4,8},{5},{6},{7}}=>[5,1,1,1] {{1},{2},{3},{4,5,6,7,8}}=>{{1,2,3,4,5},{6},{7},{8}}=>{{1,2,3,4},{5},{6},{7},{8}}=>[4,1,1,1,1] {{1},{2},{3,4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,6},{7},{8}}=>{{1,2,3,5,6,7,8},{4}}=>[7,1] {{1},{2},{3,4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5,6},{7},{8}}=>{{1,2,3,5,6,7},{4},{8}}=>[6,1,1] {{1},{2},{3,4},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,6},{7},{8}}=>{{1,2,3,5,7,8},{4},{6}}=>[6,1,1] {{1},{2},{3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6},{7},{8}}=>{{1,2,3,5,7},{4},{6},{8}}=>[5,1,1,1] {{1},{2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7},{8}}=>{{1,2,3,5},{4},{6,7,8}}=>[4,3,1] {{1},{2},{3,5},{4},{6,8},{7}}=>{{1,3},{2},{4,6},{5},{7},{8}}=>{{1,2,3,6},{4,5},{7,8}}=>[4,2,2] {{1},{2},{3,5},{4},{6,7,8}}=>{{1,2,3},{4,6},{5},{7},{8}}=>{{1,2,3,6},{4,5},{7},{8}}=>[4,2,1,1] {{1},{2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7},{8}}=>{{1,2,3},{4,5,6,7,8}}=>[5,3] {{1},{2},{3,7,8},{4},{5},{6}}=>{{1,2,6},{3},{4},{5},{7},{8}}=>{{1,2,3},{4,5,6,7},{8}}=>[4,3,1] {{1},{2},{3,8},{4},{5,6,7}}=>{{1,6},{2,3,4},{5},{7},{8}}=>{{1,2,3},{4,5,8},{6},{7}}=>[3,3,1,1] {{1},{2},{3,4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5,6},{7},{8}}=>{{1,2,3,6,7,8},{4},{5}}=>[6,1,1] {{1},{2},{3,4,5},{6,7},{8}}=>{{1},{2,3},{4,5,6},{7},{8}}=>{{1,2,3,6,8},{4},{5},{7}}=>[5,1,1,1] {{1},{2},{3,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,6},{7},{8}}=>{{1,2,3,6},{4},{5},{7,8}}=>[4,2,1,1] {{1},{2},{3,4,6,7},{5},{8}}=>{{1},{2,3,5,6},{4},{7},{8}}=>{{1,2,3,8},{4},{5,6},{7}}=>[4,2,1,1] {{1},{2},{3,4,5,7},{6},{8}}=>{{1},{2,4,5,6},{3},{7},{8}}=>{{1,2,3,8},{4},{5},{6,7}}=>[4,2,1,1] {{1},{2},{3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6},{7},{8}}=>{{1,2,3,8},{4},{5},{6},{7}}=>[4,1,1,1,1] {{1},{2},{3,4,5,6,8},{7}}=>{{1,3,4,5,6},{2},{7},{8}}=>{{1,2,3},{4},{5},{6},{7,8}}=>[3,2,1,1,1] {{1},{2},{3,4,5,6,7,8}}=>{{1,2,3,4,5,6},{7},{8}}=>{{1,2,3},{4},{5},{6},{7},{8}}=>[3,1,1,1,1,1] {{1},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6,7},{8}}=>{{1,2,4,5,6,7,8},{3}}=>[7,1] {{1},{2,3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,7},{8}}=>{{1,2,4,5,6,8},{3},{7}}=>[6,1,1] {{1},{2,3},{4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5},{6,7},{8}}=>{{1,2,4,6,7,8},{3},{5}}=>[6,1,1] {{1},{2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7},{8}}=>{{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1] {{1},{2,3},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6,7},{8}}=>{{1,2,4,6},{3},{5},{7,8}}=>[4,2,1,1] {{1},{2,3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,7},{8}}=>{{1,2,4},{3},{5,6,7,8}}=>[4,3,1] {{1},{2,3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6,7},{8}}=>{{1,2,4,8},{3},{5,6},{7}}=>[4,2,1,1] {{1},{2,3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,7},{8}}=>{{1,2,4},{3},{5,6},{7,8}}=>[3,2,2,1] {{1},{2,3},{4,7},{5,6},{8}}=>{{1},{2,5},{3,4},{6,7},{8}}=>{{1,2,4,8},{3},{5,7},{6}}=>[4,2,1,1] {{1},{2,3},{4,5,7},{6},{8}}=>{{1},{2,4,5},{3},{6,7},{8}}=>{{1,2,4,8},{3},{5},{6,7}}=>[4,2,1,1] {{1},{2,3},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6,7},{8}}=>{{1,2,4},{3},{5,8},{6,7}}=>[3,2,2,1] {{1},{2,3},{4,5,6,7},{8}}=>{{1},{2,3,4,5},{6,7},{8}}=>{{1,2,4,8},{3},{5},{6},{7}}=>[4,1,1,1,1] {{1},{2,3},{4,5,6,7,8}}=>{{1,2,3,4,5},{6,7},{8}}=>{{1,2,4},{3},{5},{6},{7},{8}}=>[3,1,1,1,1,1] {{1},{2,4},{3},{5},{6,7,8}}=>{{1,2,3},{4},{5,7},{6},{8}}=>{{1,2,5,6},{3,4},{7},{8}}=>[4,2,1,1] {{1},{2,4},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,7},{6},{8}}=>{{1,2,5,7},{3,4},{6},{8}}=>[4,2,1,1] {{1},{2,4},{3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,7},{6},{8}}=>{{1,2,5},{3,4},{6,7,8}}=>[3,3,2] {{1},{2,4},{3},{5,7,8},{6}}=>{{1,2,4},{3},{5,7},{6},{8}}=>{{1,2,5},{3,4},{6,7},{8}}=>[3,2,2,1] {{1},{2,4},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,7},{6},{8}}=>{{1,2,5},{3,4},{6,8},{7}}=>[3,2,2,1] {{1},{2,5},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,7},{5},{6},{8}}=>{{1,2,6,7,8},{3,4,5}}=>[5,3] {{1},{2,5},{3},{4},{6,8},{7}}=>{{1,3},{2},{4,7},{5},{6},{8}}=>{{1,2,6},{3,4,5},{7,8}}=>[3,3,2] {{1},{2,6},{3},{4},{5},{7},{8}}=>{{1},{2},{3,7},{4},{5},{6},{8}}=>{{1,2,7,8},{3,4,5,6}}=>[4,4] {{1},{2,7},{3},{4},{5},{6},{8}}=>{{1},{2,7},{3},{4},{5},{6},{8}}=>{{1,2,8},{3,4,5,6,7}}=>[5,3] {{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5},{6},{8}}=>{{1,2},{3,4,5,6,7,8}}=>[6,2] {{1},{2,7,8},{3},{4},{5},{6}}=>{{1,2,7},{3},{4},{5},{6},{8}}=>{{1,2},{3,4,5,6,7},{8}}=>[5,2,1] {{1},{2,8},{3},{4},{5},{6,7}}=>{{1,7},{2,3},{4},{5},{6},{8}}=>{{1,2},{3,4,5,6,8},{7}}=>[5,2,1] {{1},{2,6,8},{3},{4},{5},{7}}=>{{1,3,7},{2},{4},{5},{6},{8}}=>{{1,2},{3,4,5,6},{7,8}}=>[4,2,2] {{1},{2,8},{3},{4},{5,6,7}}=>{{1,7},{2,3,4},{5},{6},{8}}=>{{1,2},{3,4,5,8},{6},{7}}=>[4,2,1,1] {{1},{2,5,6,7,8},{3},{4}}=>{{1,2,3,4,7},{5},{6},{8}}=>{{1,2},{3,4,5},{6},{7},{8}}=>[3,2,1,1,1] {{1},{2,4,5},{3},{6,7},{8}}=>{{1},{2,3},{4,5,7},{6},{8}}=>{{1,2,6,8},{3,4},{5},{7}}=>[4,2,1,1] {{1},{2,4,5},{3},{6,8},{7}}=>{{1,3},{2},{4,5,7},{6},{8}}=>{{1,2,6},{3,4},{5},{7,8}}=>[3,2,2,1] {{1},{2,6,8},{3},{4,5},{7}}=>{{1,3,7},{2},{4,5},{6},{8}}=>{{1,2},{3,4,6},{5},{7,8}}=>[3,2,2,1] {{1},{2,4,6},{3},{5},{7,8}}=>{{1,2},{3,5,7},{4},{6},{8}}=>{{1,2,7},{3,4},{5,6},{8}}=>[3,2,2,1] {{1},{2,7},{3},{4,6},{5},{8}}=>{{1},{2,7},{3,5},{4},{6},{8}}=>{{1,2,8},{3,4,7},{5,6}}=>[3,3,2] {{1},{2,4,6,7},{3},{5},{8}}=>{{1},{2,3,5,7},{4},{6},{8}}=>{{1,2,8},{3,4},{5,6},{7}}=>[3,2,2,1] {{1},{2,8},{3},{4,6,7},{5}}=>{{1,7},{2,3,5},{4},{6},{8}}=>{{1,2},{3,4,8},{5,6},{7}}=>[3,2,2,1] {{1},{2,4,8},{3},{5},{6,7}}=>{{1,5,7},{2,3},{4},{6},{8}}=>{{1,2},{3,4},{5,6,8},{7}}=>[3,2,2,1] {{1},{2,4,6,8},{3},{5},{7}}=>{{1,3,5,7},{2},{4},{6},{8}}=>{{1,2},{3,4},{5,6},{7,8}}=>[2,2,2,2] {{1},{2,7},{3},{4,5,6},{8}}=>{{1},{2,7},{3,4,5},{6},{8}}=>{{1,2,8},{3,4,7},{5},{6}}=>[3,3,1,1] {{1},{2,4,7},{3},{5,6},{8}}=>{{1},{2,5,7},{3,4},{6},{8}}=>{{1,2,8},{3,4},{5,7},{6}}=>[3,2,2,1] {{1},{2,8},{3},{4,7},{5,6}}=>{{1,7},{2,5},{3,4},{6},{8}}=>{{1,2},{3,4,8},{5,7},{6}}=>[3,2,2,1] {{1},{2,4,8},{3},{5,6},{7}}=>{{1,5,7},{2},{3,4},{6},{8}}=>{{1,2},{3,4},{5,7,8},{6}}=>[3,2,2,1] {{1},{2,4,5,7},{3},{6},{8}}=>{{1},{2,4,5,7},{3},{6},{8}}=>{{1,2,8},{3,4},{5},{6,7}}=>[3,2,2,1] {{1},{2,4,8},{3},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6},{8}}=>{{1,2},{3,4},{5,8},{6,7}}=>[2,2,2,2] {{1},{2,4,5,6,7},{3},{8}}=>{{1},{2,3,4,5,7},{6},{8}}=>{{1,2,8},{3,4},{5},{6},{7}}=>[3,2,1,1,1] {{1},{2,8},{3},{4,5,6,7}}=>{{1,7},{2,3,4,5},{6},{8}}=>{{1,2},{3,4,8},{5},{6},{7}}=>[3,2,1,1,1] {{1},{2,3,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,6,7},{8}}=>{{1,2,5},{3},{4},{6},{7,8}}=>[3,2,1,1,1] {{1},{2,3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6,7},{8}}=>{{1,2,5},{3},{4},{6},{7},{8}}=>[3,1,1,1,1,1] {{1},{2,5},{3,4},{6,7},{8}}=>{{1},{2,3},{4,7},{5,6},{8}}=>{{1,2,6,8},{3,5},{4},{7}}=>[4,2,1,1] {{1},{2,5},{3,4},{6,8},{7}}=>{{1,3},{2},{4,7},{5,6},{8}}=>{{1,2,6},{3,5},{4},{7,8}}=>[3,2,2,1] {{1},{2,8},{3,4},{5},{6},{7}}=>{{1,7},{2},{3},{4},{5,6},{8}}=>{{1,2},{3,5,6,7,8},{4}}=>[5,2,1] {{1},{2,6,7},{3,4},{5},{8}}=>{{1},{2,3,7},{4},{5,6},{8}}=>{{1,2,8},{3,5,6},{4},{7}}=>[3,3,1,1] {{1},{2,6,8},{3,4},{5},{7}}=>{{1,3,7},{2},{4},{5,6},{8}}=>{{1,2},{3,5,6},{4},{7,8}}=>[3,2,2,1] {{1},{2,7},{3,4},{5,6},{8}}=>{{1},{2,7},{3,4},{5,6},{8}}=>{{1,2,8},{3,5,7},{4},{6}}=>[3,3,1,1] {{1},{2,8},{3,4},{5,6},{7}}=>{{1,7},{2},{3,4},{5,6},{8}}=>{{1,2},{3,5,7,8},{4},{6}}=>[4,2,1,1] {{1},{2,5,7},{3,4},{6},{8}}=>{{1},{2,4,7},{3},{5,6},{8}}=>{{1,2,8},{3,5},{4},{6,7}}=>[3,2,2,1] {{1},{2,8},{3,4},{5,7},{6}}=>{{1,7},{2,4},{3},{5,6},{8}}=>{{1,2},{3,5,8},{4},{6,7}}=>[3,2,2,1] {{1},{2,8},{3,5},{4},{6},{7}}=>{{1,7},{2},{3},{4,6},{5},{8}}=>{{1,2},{3,6,7,8},{4,5}}=>[4,2,2] {{1},{2,6,7},{3,5},{4},{8}}=>{{1},{2,3,7},{4,6},{5},{8}}=>{{1,2,8},{3,6},{4,5},{7}}=>[3,2,2,1] {{1},{2,8},{3,5},{4},{6,7}}=>{{1,7},{2,3},{4,6},{5},{8}}=>{{1,2},{3,6,8},{4,5},{7}}=>[3,2,2,1] {{1},{2,6,8},{3,5},{4},{7}}=>{{1,3,7},{2},{4,6},{5},{8}}=>{{1,2},{3,6},{4,5},{7,8}}=>[2,2,2,2] {{1},{2,8},{3,7},{4},{5},{6}}=>{{1,7},{2,6},{3},{4},{5},{8}}=>{{1,2},{3,8},{4,5,6,7}}=>[4,2,2] {{1},{2,3,8},{4},{5},{6},{7}}=>{{1,6,7},{2},{3},{4},{5},{8}}=>{{1,2},{3},{4,5,6,7,8}}=>[5,2,1] {{1},{2,3,6,7},{4},{5},{8}}=>{{1},{2,3,6,7},{4},{5},{8}}=>{{1,2,8},{3},{4,5,6},{7}}=>[3,3,1,1] {{1},{2,3,6,8},{4},{5},{7}}=>{{1,3,6,7},{2},{4},{5},{8}}=>{{1,2},{3},{4,5,6},{7,8}}=>[3,2,2,1] {{1},{2,7},{3,5,6},{4},{8}}=>{{1},{2,7},{3,4,6},{5},{8}}=>{{1,2,8},{3,7},{4,5},{6}}=>[3,2,2,1] {{1},{2,8},{3,5,6},{4},{7}}=>{{1,7},{2},{3,4,6},{5},{8}}=>{{1,2},{3,7,8},{4,5},{6}}=>[3,2,2,1] {{1},{2,8},{3,7},{4},{5,6}}=>{{1,7},{2,6},{3,4},{5},{8}}=>{{1,2},{3,8},{4,5,7},{6}}=>[3,2,2,1] {{1},{2,3,5,7},{4},{6},{8}}=>{{1},{2,4,6,7},{3},{5},{8}}=>{{1,2,8},{3},{4,5},{6,7}}=>[3,2,2,1] {{1},{2,8},{3,5,7},{4},{6}}=>{{1,7},{2,4,6},{3},{5},{8}}=>{{1,2},{3,8},{4,5},{6,7}}=>[2,2,2,2] {{1},{2,8},{3,5,6,7},{4}}=>{{1,7},{2,3,4,6},{5},{8}}=>{{1,2},{3,8},{4,5},{6},{7}}=>[2,2,2,1,1] {{1},{2,3,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,6,7},{8}}=>{{1,2,6},{3},{4},{5},{7,8}}=>[3,2,1,1,1] {{1},{2,3,4,5},{6,7,8}}=>{{1,2,3},{4,5,6,7},{8}}=>{{1,2,6},{3},{4},{5},{7},{8}}=>[3,1,1,1,1,1] {{1},{2,6},{3,4,5},{7},{8}}=>{{1},{2},{3,7},{4,5,6},{8}}=>{{1,2,7,8},{3,6},{4},{5}}=>[4,2,1,1] {{1},{2,8},{3,4,5},{6},{7}}=>{{1,7},{2},{3},{4,5,6},{8}}=>{{1,2},{3,6,7,8},{4},{5}}=>[4,2,1,1] {{1},{2,7},{3,6},{4,5},{8}}=>{{1},{2,7},{3,6},{4,5},{8}}=>{{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1] {{1},{2,8},{3,6},{4,5},{7}}=>{{1,7},{2},{3,6},{4,5},{8}}=>{{1,2},{3,7,8},{4,6},{5}}=>[3,2,2,1] {{1},{2,8},{3,7},{4,5},{6}}=>{{1,7},{2,6},{3},{4,5},{8}}=>{{1,2},{3,8},{4,6,7},{5}}=>[3,2,2,1] {{1},{2,3,8},{4,5},{6},{7}}=>{{1,6,7},{2},{3},{4,5},{8}}=>{{1,2},{3},{4,6,7,8},{5}}=>[4,2,1,1] {{1},{2,7},{3,4,6},{5},{8}}=>{{1},{2,7},{3,5,6},{4},{8}}=>{{1,2,8},{3,7},{4},{5,6}}=>[3,2,2,1] {{1},{2,8},{3,4,6},{5},{7}}=>{{1,7},{2},{3,5,6},{4},{8}}=>{{1,2},{3,7,8},{4},{5,6}}=>[3,2,2,1] {{1},{2,8},{3,7},{4,6},{5}}=>{{1,7},{2,6},{3,5},{4},{8}}=>{{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2] {{1},{2,3,4,8},{5},{6},{7}}=>{{1,5,6,7},{2},{3},{4},{8}}=>{{1,2},{3},{4},{5,6,7,8}}=>[4,2,1,1] {{1},{2,3,4,5,6},{7},{8}}=>{{1},{2},{3,4,5,6,7},{8}}=>{{1,2,7,8},{3},{4},{5},{6}}=>[4,1,1,1,1] {{1},{2,3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6,7},{8}}=>{{1,2,7},{3},{4},{5},{6},{8}}=>[3,1,1,1,1,1] {{1},{2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7},{8}}=>{{1,2,8},{3},{4},{5},{6},{7}}=>[3,1,1,1,1,1] {{1},{2,3,4,5,8},{6,7}}=>{{1,4,5,6,7},{2,3},{8}}=>{{1,2},{3},{4},{5},{6,8},{7}}=>[2,2,1,1,1,1] {{1},{2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7},{2},{8}}=>{{1,2},{3},{4},{5},{6},{7,8}}=>[2,2,1,1,1,1] {{1},{2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7},{8}}=>{{1,2},{3},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1] {{1,2},{3},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6},{7,8}}=>{{1,3,4,5,6,7,8},{2}}=>[7,1] {{1,2},{3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6},{7,8}}=>{{1,3,4,5,6,7},{2},{8}}=>[6,1,1] {{1,2},{3},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6},{7,8}}=>{{1,3,4,5,6,8},{2},{7}}=>[6,1,1] {{1,2},{3},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6},{7,8}}=>{{1,3,4,5,6},{2},{7,8}}=>[5,2,1] {{1,2},{3},{4},{5},{6,7,8}}=>{{1,2,3},{4},{5},{6},{7,8}}=>{{1,3,4,5,6},{2},{7},{8}}=>[5,1,1,1] {{1,2},{3},{4},{5,7},{6},{8}}=>{{1},{2,4},{3},{5},{6},{7,8}}=>{{1,3,4,5,8},{2},{6,7}}=>[5,2,1] {{1,2},{3},{4},{5,8},{6,7}}=>{{1,4},{2,3},{5},{6},{7,8}}=>{{1,3,4,5},{2},{6,8},{7}}=>[4,2,1,1] {{1,2},{3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6},{7,8}}=>{{1,3,4},{2},{5,6,7,8}}=>[4,3,1] {{1,2},{3},{4,8},{5,6},{7}}=>{{1,5},{2},{3,4},{6},{7,8}}=>{{1,3,4},{2},{5,7,8},{6}}=>[3,3,1,1] {{1,2},{3},{4,5,6,7},{8}}=>{{1},{2,3,4,5},{6},{7,8}}=>{{1,3,4,8},{2},{5},{6},{7}}=>[4,1,1,1,1] {{1,2},{3},{4,5,8},{6,7}}=>{{1,4,5},{2,3},{6},{7,8}}=>{{1,3,4},{2},{5},{6,8},{7}}=>[3,2,1,1,1] {{1,2},{3},{4,5,6,8},{7}}=>{{1,3,4,5},{2},{6},{7,8}}=>{{1,3,4},{2},{5},{6},{7,8}}=>[3,2,1,1,1] {{1,2},{3},{4,5,6,7,8}}=>{{1,2,3,4,5},{6},{7,8}}=>{{1,3,4},{2},{5},{6},{7},{8}}=>[3,1,1,1,1,1] {{1,2},{3,4},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,6},{7,8}}=>{{1,3,5,7,8},{2},{4},{6}}=>[5,1,1,1] {{1,2},{3,4},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,6},{7,8}}=>{{1,3,5,8},{2},{4},{6,7}}=>[4,2,1,1] {{1,2},{3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6},{7,8}}=>{{1,3,5},{2},{4},{6,7,8}}=>[3,3,1,1] {{1,2},{3,4},{5,7,8},{6}}=>{{1,2,4},{3},{5,6},{7,8}}=>{{1,3,5},{2},{4},{6,7},{8}}=>[3,2,1,1,1] {{1,2},{3,4},{5,6,7},{8}}=>{{1},{2,3,4},{5,6},{7,8}}=>{{1,3,5,8},{2},{4},{6},{7}}=>[4,1,1,1,1] {{1,2},{3,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,6},{7,8}}=>{{1,3,5},{2},{4},{6},{7,8}}=>[3,2,1,1,1] {{1,2},{3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6},{7,8}}=>{{1,3,5},{2},{4},{6},{7},{8}}=>[3,1,1,1,1,1] {{1,2},{3,6},{4},{5},{7,8}}=>{{1,2},{3,6},{4},{5},{7,8}}=>{{1,3,7},{2},{4,5,6},{8}}=>[3,3,1,1] {{1,2},{3,8},{4},{5},{6},{7}}=>{{1,6},{2},{3},{4},{5},{7,8}}=>{{1,3},{2},{4,5,6,7,8}}=>[5,2,1] {{1,2},{3,5,6},{4},{7,8}}=>{{1,2},{3,4,6},{5},{7,8}}=>{{1,3,7},{2},{4,5},{6},{8}}=>[3,2,1,1,1] {{1,2},{3,5,8},{4},{6},{7}}=>{{1,4,6},{2},{3},{5},{7,8}}=>{{1,3},{2},{4,5},{6,7,8}}=>[3,2,2,1] {{1,2},{3,5,7,8},{4},{6}}=>{{1,2,4,6},{3},{5},{7,8}}=>{{1,3},{2},{4,5},{6,7},{8}}=>[2,2,2,1,1] {{1,2},{3,5,8},{4},{6,7}}=>{{1,4,6},{2,3},{5},{7,8}}=>{{1,3},{2},{4,5},{6,8},{7}}=>[2,2,2,1,1] {{1,2},{3,4,5},{6,7,8}}=>{{1,2,3},{4,5,6},{7,8}}=>{{1,3,6},{2},{4},{5},{7},{8}}=>[3,1,1,1,1,1] {{1,2},{3,7,8},{4,5},{6}}=>{{1,2,6},{3},{4,5},{7,8}}=>{{1,3},{2},{4,6,7},{5},{8}}=>[3,2,1,1,1] {{1,2},{3,6,8},{4,5},{7}}=>{{1,3,6},{2},{4,5},{7,8}}=>{{1,3},{2},{4,6},{5},{7,8}}=>[2,2,2,1,1] {{1,2},{3,4,6},{5},{7,8}}=>{{1,2},{3,5,6},{4},{7,8}}=>{{1,3,7},{2},{4},{5,6},{8}}=>[3,2,1,1,1] {{1,2},{3,7,8},{4,6},{5}}=>{{1,2,6},{3,5},{4},{7,8}}=>{{1,3},{2},{4,7},{5,6},{8}}=>[2,2,2,1,1] {{1,2},{3,8},{4,7},{5},{6}}=>{{1,6},{2,5},{3},{4},{7,8}}=>{{1,3},{2},{4,8},{5,6,7}}=>[3,2,2,1] {{1,2},{3,8},{4,6,7},{5}}=>{{1,6},{2,3,5},{4},{7,8}}=>{{1,3},{2},{4,8},{5,6},{7}}=>[2,2,2,1,1] {{1,2},{3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6},{7,8}}=>{{1,3,7},{2},{4},{5},{6},{8}}=>[3,1,1,1,1,1] {{1,2},{3,4,8},{5,6},{7}}=>{{1,5,6},{2},{3,4},{7,8}}=>{{1,3},{2},{4},{5,7,8},{6}}=>[3,2,1,1,1] {{1,2},{3,8},{4,5,7},{6}}=>{{1,6},{2,4,5},{3},{7,8}}=>{{1,3},{2},{4,8},{5},{6,7}}=>[2,2,2,1,1] {{1,2},{3,4,8},{5,7},{6}}=>{{1,5,6},{2,4},{3},{7,8}}=>{{1,3},{2},{4},{5,8},{6,7}}=>[2,2,2,1,1] {{1,2},{3,4,5,8},{6},{7}}=>{{1,4,5,6},{2},{3},{7,8}}=>{{1,3},{2},{4},{5},{6,7,8}}=>[3,2,1,1,1] {{1,2},{3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6},{7,8}}=>{{1,3,8},{2},{4},{5},{6},{7}}=>[3,1,1,1,1,1] {{1,2},{3,4,5,8},{6,7}}=>{{1,4,5,6},{2,3},{7,8}}=>{{1,3},{2},{4},{5},{6,8},{7}}=>[2,2,1,1,1,1] {{1,2},{3,4,5,6,8},{7}}=>{{1,3,4,5,6},{2},{7,8}}=>{{1,3},{2},{4},{5},{6},{7,8}}=>[2,2,1,1,1,1] {{1,2},{3,4,5,6,7,8}}=>{{1,2,3,4,5,6},{7,8}}=>{{1,3},{2},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1] {{1,3},{2},{4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5},{6,8},{7}}=>{{1,4,5,6,7,8},{2,3}}=>[6,2] {{1,3},{2},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6,8},{7}}=>{{1,4,5,6,7},{2,3},{8}}=>[5,2,1] {{1,3},{2},{4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5},{6,8},{7}}=>{{1,4,5,6,8},{2,3},{7}}=>[5,2,1] {{1,3},{2},{4},{5},{6,8},{7}}=>{{1,3},{2},{4},{5},{6,8},{7}}=>{{1,4,5,6},{2,3},{7,8}}=>[4,2,2] {{1,3},{2},{4},{5,7},{6},{8}}=>{{1},{2,4},{3},{5},{6,8},{7}}=>{{1,4,5,8},{2,3},{6,7}}=>[4,2,2] {{1,3},{2},{4},{5,7,8},{6}}=>{{1,2,4},{3},{5},{6,8},{7}}=>{{1,4,5},{2,3},{6,7},{8}}=>[3,2,2,1] {{1,3},{2},{4},{5,6,7},{8}}=>{{1},{2,3,4},{5},{6,8},{7}}=>{{1,4,5,8},{2,3},{6},{7}}=>[4,2,1,1] {{1,3},{2},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,8},{7}}=>{{1,4,6,8},{2,3},{5},{7}}=>[4,2,1,1] {{1,3},{2},{4,5},{6,8},{7}}=>{{1,3},{2},{4,5},{6,8},{7}}=>{{1,4,6},{2,3},{5},{7,8}}=>[3,2,2,1] {{1,3},{2},{4,6},{5},{7,8}}=>{{1,2},{3,5},{4},{6,8},{7}}=>{{1,4,7},{2,3},{5,6},{8}}=>[3,2,2,1] {{1,3},{2},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,8},{7}}=>{{1,4},{2,3},{5,6,7,8}}=>[4,2,2] {{1,3},{2},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6,8},{7}}=>{{1,4,8},{2,3},{5,6},{7}}=>[3,2,2,1] {{1,3},{2},{4,8},{5},{6,7}}=>{{1,5},{2,3},{4},{6,8},{7}}=>{{1,4},{2,3},{5,6,8},{7}}=>[3,2,2,1] {{1,3},{2},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,8},{7}}=>{{1,4},{2,3},{5,6},{7,8}}=>[2,2,2,2] {{1,3},{2},{4,7},{5,6},{8}}=>{{1},{2,5},{3,4},{6,8},{7}}=>{{1,4,8},{2,3},{5,7},{6}}=>[3,2,2,1] {{1,3},{2},{4,8},{5,6},{7}}=>{{1,5},{2},{3,4},{6,8},{7}}=>{{1,4},{2,3},{5,7,8},{6}}=>[3,2,2,1] {{1,3},{2},{4,8},{5,7},{6}}=>{{1,5},{2,4},{3},{6,8},{7}}=>{{1,4},{2,3},{5,8},{6,7}}=>[2,2,2,2] {{1,3},{2},{4,5,6,7,8}}=>{{1,2,3,4,5},{6,8},{7}}=>{{1,4},{2,3},{5},{6},{7},{8}}=>[2,2,1,1,1,1] {{1,4},{2},{3},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,8},{6},{7}}=>{{1,5,6,7,8},{2,3,4}}=>[5,3] {{1,4},{2},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,8},{6},{7}}=>{{1,5,7},{2,3,4},{6},{8}}=>[3,3,1,1] {{1,4},{2},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,8},{6},{7}}=>{{1,5},{2,3,4},{6,8},{7}}=>[3,2,2,1] {{1,5},{2},{3},{4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5},{6},{7}}=>{{1,6,7,8},{2,3,4,5}}=>[4,4] {{1,6},{2},{3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6},{7}}=>{{1,7},{2,3,4,5,6},{8}}=>[5,2,1] {{1,7},{2},{3},{4},{5},{6},{8}}=>{{1},{2,8},{3},{4},{5},{6},{7}}=>{{1,8},{2,3,4,5,6,7}}=>[6,2] {{1,8},{2},{3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6},{7}}=>{{1},{2,3,4,5,6,7,8}}=>[7,1] {{1,6,7},{2},{3},{4},{5},{8}}=>{{1},{2,3,8},{4},{5},{6},{7}}=>{{1,8},{2,3,4,5,6},{7}}=>[5,2,1] {{1,8},{2},{3},{4},{5},{6,7}}=>{{1,8},{2,3},{4},{5},{6},{7}}=>{{1},{2,3,4,5,6,8},{7}}=>[6,1,1] {{1,6,8},{2},{3},{4},{5},{7}}=>{{1,3,8},{2},{4},{5},{6},{7}}=>{{1},{2,3,4,5,6},{7,8}}=>[5,2,1] {{1,6,7,8},{2},{3},{4},{5}}=>{{1,2,3,8},{4},{5},{6},{7}}=>{{1},{2,3,4,5,6},{7},{8}}=>[5,1,1,1] {{1,5,6},{2},{3},{4},{7,8}}=>{{1,2},{3,4,8},{5},{6},{7}}=>{{1,7},{2,3,4,5},{6},{8}}=>[4,2,1,1] {{1,7},{2},{3},{4},{5,6},{8}}=>{{1},{2,8},{3,4},{5},{6},{7}}=>{{1,8},{2,3,4,5,7},{6}}=>[5,2,1] {{1,8},{2},{3},{4},{5,6},{7}}=>{{1,8},{2},{3,4},{5},{6},{7}}=>{{1},{2,3,4,5,7,8},{6}}=>[6,1,1] {{1,7,8},{2},{3},{4},{5,6}}=>{{1,2,8},{3,4},{5},{6},{7}}=>{{1},{2,3,4,5,7},{6},{8}}=>[5,1,1,1] {{1,8},{2},{3},{4},{5,7},{6}}=>{{1,8},{2,4},{3},{5},{6},{7}}=>{{1},{2,3,4,5,8},{6,7}}=>[5,2,1] {{1,8},{2},{3},{4},{5,6,7}}=>{{1,8},{2,3,4},{5},{6},{7}}=>{{1},{2,3,4,5,8},{6},{7}}=>[5,1,1,1] {{1,4,5},{2},{3},{6,7,8}}=>{{1,2,3},{4,5,8},{6},{7}}=>{{1,6},{2,3,4},{5},{7},{8}}=>[3,2,1,1,1] {{1,8},{2},{3},{4,5},{6},{7}}=>{{1,8},{2},{3},{4,5},{6},{7}}=>{{1},{2,3,4,6,7,8},{5}}=>[6,1,1] {{1,6,7},{2},{3},{4,5},{8}}=>{{1},{2,3,8},{4,5},{6},{7}}=>{{1,8},{2,3,4,6},{5},{7}}=>[4,2,1,1] {{1,8},{2},{3},{4,5},{6,7}}=>{{1,8},{2,3},{4,5},{6},{7}}=>{{1},{2,3,4,6,8},{5},{7}}=>[5,1,1,1] {{1,7},{2},{3},{4,6},{5},{8}}=>{{1},{2,8},{3,5},{4},{6},{7}}=>{{1,8},{2,3,4,7},{5,6}}=>[4,2,2] {{1,8},{2},{3},{4,7},{5},{6}}=>{{1,8},{2,5},{3},{4},{6},{7}}=>{{1},{2,3,4,8},{5,6,7}}=>[4,3,1] {{1,8},{2},{3},{4,6,7},{5}}=>{{1,8},{2,3,5},{4},{6},{7}}=>{{1},{2,3,4,8},{5,6},{7}}=>[4,2,1,1] {{1,4,6,8},{2},{3},{5},{7}}=>{{1,3,5,8},{2},{4},{6},{7}}=>{{1},{2,3,4},{5,6},{7,8}}=>[3,2,2,1] {{1,4,5,6},{2},{3},{7,8}}=>{{1,2},{3,4,5,8},{6},{7}}=>{{1,7},{2,3,4},{5},{6},{8}}=>[3,2,1,1,1] {{1,7},{2},{3},{4,5,6},{8}}=>{{1},{2,8},{3,4,5},{6},{7}}=>{{1,8},{2,3,4,7},{5},{6}}=>[4,2,1,1] {{1,4,5,8},{2},{3},{6},{7}}=>{{1,4,5,8},{2},{3},{6},{7}}=>{{1},{2,3,4},{5},{6,7,8}}=>[3,3,1,1] {{1,4,5,6,7},{2},{3},{8}}=>{{1},{2,3,4,5,8},{6},{7}}=>{{1,8},{2,3,4},{5},{6},{7}}=>[3,2,1,1,1] {{1,8},{2},{3},{4,5,6,7}}=>{{1,8},{2,3,4,5},{6},{7}}=>{{1},{2,3,4,8},{5},{6},{7}}=>[4,1,1,1,1] {{1,4,5,6,7,8},{2},{3}}=>{{1,2,3,4,5,8},{6},{7}}=>{{1},{2,3,4},{5},{6},{7},{8}}=>[3,1,1,1,1,1] {{1,3,4},{2},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,8},{7}}=>{{1,5,7},{2,3},{4},{6},{8}}=>[3,2,1,1,1] {{1,3,4},{2},{5,7,8},{6}}=>{{1,2,4},{3},{5,6,8},{7}}=>{{1,5},{2,3},{4},{6,7},{8}}=>[2,2,2,1,1] {{1,3,4},{2},{5,8},{6,7}}=>{{1,4},{2,3},{5,6,8},{7}}=>{{1,5},{2,3},{4},{6,8},{7}}=>[2,2,2,1,1] {{1,3,4},{2},{5,6,7,8}}=>{{1,2,3,4},{5,6,8},{7}}=>{{1,5},{2,3},{4},{6},{7},{8}}=>[2,2,1,1,1,1] {{1,5},{2},{3,4},{6},{7,8}}=>{{1,2},{3},{4,8},{5,6},{7}}=>{{1,6,7},{2,3,5},{4},{8}}=>[3,3,1,1] {{1,5},{2},{3,4},{6,8},{7}}=>{{1,3},{2},{4,8},{5,6},{7}}=>{{1,6},{2,3,5},{4},{7,8}}=>[3,2,2,1] {{1,7,8},{2},{3,4},{5},{6}}=>{{1,2,8},{3},{4},{5,6},{7}}=>{{1},{2,3,5,6,7},{4},{8}}=>[5,1,1,1] {{1,8},{2},{3,4},{5,6},{7}}=>{{1,8},{2},{3,4},{5,6},{7}}=>{{1},{2,3,5,7,8},{4},{6}}=>[5,1,1,1] {{1,7,8},{2},{3,4},{5,6}}=>{{1,2,8},{3,4},{5,6},{7}}=>{{1},{2,3,5,7},{4},{6},{8}}=>[4,1,1,1,1] {{1,5,7},{2},{3,4},{6},{8}}=>{{1},{2,4,8},{3},{5,6},{7}}=>{{1,8},{2,3,5},{4},{6,7}}=>[3,2,2,1] {{1,5,8},{2},{3,4},{6},{7}}=>{{1,4,8},{2},{3},{5,6},{7}}=>{{1},{2,3,5},{4},{6,7,8}}=>[3,3,1,1] {{1,5,6,7},{2},{3,4},{8}}=>{{1},{2,3,4,8},{5,6},{7}}=>{{1,8},{2,3,5},{4},{6},{7}}=>[3,2,1,1,1] {{1,8},{2},{3,4},{5,6,7}}=>{{1,8},{2,3,4},{5,6},{7}}=>{{1},{2,3,5,8},{4},{6},{7}}=>[4,1,1,1,1] {{1,5,6,7,8},{2},{3,4}}=>{{1,2,3,4,8},{5,6},{7}}=>{{1},{2,3,5},{4},{6},{7},{8}}=>[3,1,1,1,1,1] {{1,3,5},{2},{4},{6},{7},{8}}=>{{1},{2},{3},{4,6,8},{5},{7}}=>{{1,6,7,8},{2,3},{4,5}}=>[4,2,2] {{1,3,5},{2},{4},{6},{7,8}}=>{{1,2},{3},{4,6,8},{5},{7}}=>{{1,6,7},{2,3},{4,5},{8}}=>[3,2,2,1] {{1,3,5},{2},{4},{6,7},{8}}=>{{1},{2,3},{4,6,8},{5},{7}}=>{{1,6,8},{2,3},{4,5},{7}}=>[3,2,2,1] {{1,3,5},{2},{4},{6,8},{7}}=>{{1,3},{2},{4,6,8},{5},{7}}=>{{1,6},{2,3},{4,5},{7,8}}=>[2,2,2,2] {{1,7,8},{2},{3,5},{4},{6}}=>{{1,2,8},{3},{4,6},{5},{7}}=>{{1},{2,3,6,7},{4,5},{8}}=>[4,2,1,1] {{1,6,8},{2},{3,5},{4},{7}}=>{{1,3,8},{2},{4,6},{5},{7}}=>{{1},{2,3,6},{4,5},{7,8}}=>[3,2,2,1] {{1,3,6},{2},{4},{5},{7,8}}=>{{1,2},{3,6,8},{4},{5},{7}}=>{{1,7},{2,3},{4,5,6},{8}}=>[3,2,2,1] {{1,3,8},{2},{4},{5},{6},{7}}=>{{1,6,8},{2},{3},{4},{5},{7}}=>{{1},{2,3},{4,5,6,7,8}}=>[5,2,1] {{1,8},{2},{3,6,7},{4},{5}}=>{{1,8},{2,3,6},{4},{5},{7}}=>{{1},{2,3,8},{4,5,6},{7}}=>[3,3,1,1] {{1,3,5,6},{2},{4},{7,8}}=>{{1,2},{3,4,6,8},{5},{7}}=>{{1,7},{2,3},{4,5},{6},{8}}=>[2,2,2,1,1] {{1,7},{2},{3,5,6},{4},{8}}=>{{1},{2,8},{3,4,6},{5},{7}}=>{{1,8},{2,3,7},{4,5},{6}}=>[3,2,2,1] {{1,3,7},{2},{4},{5,6},{8}}=>{{1},{2,6,8},{3,4},{5},{7}}=>{{1,8},{2,3},{4,5,7},{6}}=>[3,2,2,1] {{1,3,5,7},{2},{4},{6},{8}}=>{{1},{2,4,6,8},{3},{5},{7}}=>{{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2] {{1,8},{2},{3,5,7},{4},{6}}=>{{1,8},{2,4,6},{3},{5},{7}}=>{{1},{2,3,8},{4,5},{6,7}}=>[3,2,2,1] {{1,3,5,8},{2},{4},{6},{7}}=>{{1,4,6,8},{2},{3},{5},{7}}=>{{1},{2,3},{4,5},{6,7,8}}=>[3,2,2,1] {{1,3,5,7,8},{2},{4},{6}}=>{{1,2,4,6,8},{3},{5},{7}}=>{{1},{2,3},{4,5},{6,7},{8}}=>[2,2,2,1,1] {{1,3,5,6,7},{2},{4},{8}}=>{{1},{2,3,4,6,8},{5},{7}}=>{{1,8},{2,3},{4,5},{6},{7}}=>[2,2,2,1,1] {{1,8},{2},{3,5,6,7},{4}}=>{{1,8},{2,3,4,6},{5},{7}}=>{{1},{2,3,8},{4,5},{6},{7}}=>[3,2,1,1,1] {{1,3,8},{2},{4},{5,6,7}}=>{{1,6,8},{2,3,4},{5},{7}}=>{{1},{2,3},{4,5,8},{6},{7}}=>[3,2,1,1,1] {{1,3,5,8},{2},{4},{6,7}}=>{{1,4,6,8},{2,3},{5},{7}}=>{{1},{2,3},{4,5},{6,8},{7}}=>[2,2,2,1,1] {{1,3,4,5},{2},{6,7},{8}}=>{{1},{2,3},{4,5,6,8},{7}}=>{{1,6,8},{2,3},{4},{5},{7}}=>[3,2,1,1,1] {{1,3,4,5},{2},{6,8},{7}}=>{{1,3},{2},{4,5,6,8},{7}}=>{{1,6},{2,3},{4},{5},{7,8}}=>[2,2,2,1,1] {{1,6},{2},{3,4,5},{7},{8}}=>{{1},{2},{3,8},{4,5,6},{7}}=>{{1,7,8},{2,3,6},{4},{5}}=>[3,3,1,1] {{1,7,8},{2},{3,4,5},{6}}=>{{1,2,8},{3},{4,5,6},{7}}=>{{1},{2,3,6,7},{4},{5},{8}}=>[4,1,1,1,1] {{1,6,7},{2},{3,4,5},{8}}=>{{1},{2,3,8},{4,5,6},{7}}=>{{1,8},{2,3,6},{4},{5},{7}}=>[3,2,1,1,1] {{1,8},{2},{3,4,5},{6,7}}=>{{1,8},{2,3},{4,5,6},{7}}=>{{1},{2,3,6,8},{4},{5},{7}}=>[4,1,1,1,1] {{1,6,7,8},{2},{3,4,5}}=>{{1,2,3,8},{4,5,6},{7}}=>{{1},{2,3,6},{4},{5},{7},{8}}=>[3,1,1,1,1,1] {{1,3,6},{2},{4,5},{7,8}}=>{{1,2},{3,6,8},{4,5},{7}}=>{{1,7},{2,3},{4,6},{5},{8}}=>[2,2,2,1,1] {{1,7},{2},{3,6},{4,5},{8}}=>{{1},{2,8},{3,6},{4,5},{7}}=>{{1,8},{2,3,7},{4,6},{5}}=>[3,2,2,1] {{1,3,7},{2},{4,5},{6},{8}}=>{{1},{2,6,8},{3},{4,5},{7}}=>{{1,8},{2,3},{4,6,7},{5}}=>[3,2,2,1] {{1,3,7,8},{2},{4,5},{6}}=>{{1,2,6,8},{3},{4,5},{7}}=>{{1},{2,3},{4,6,7},{5},{8}}=>[3,2,1,1,1] {{1,8},{2},{3,6,7},{4,5}}=>{{1,8},{2,3,6},{4,5},{7}}=>{{1},{2,3,8},{4,6},{5},{7}}=>[3,2,1,1,1] {{1,3,8},{2},{4,5},{6,7}}=>{{1,6,8},{2,3},{4,5},{7}}=>{{1},{2,3},{4,6,8},{5},{7}}=>[3,2,1,1,1] {{1,3,4,6},{2},{5},{7,8}}=>{{1,2},{3,5,6,8},{4},{7}}=>{{1,7},{2,3},{4},{5,6},{8}}=>[2,2,2,1,1] {{1,7},{2},{3,4,6},{5},{8}}=>{{1},{2,8},{3,5,6},{4},{7}}=>{{1,8},{2,3,7},{4},{5,6}}=>[3,2,2,1] {{1,7,8},{2},{3,4,6},{5}}=>{{1,2,8},{3,5,6},{4},{7}}=>{{1},{2,3,7},{4},{5,6},{8}}=>[3,2,1,1,1] {{1,3,7},{2},{4,6},{5},{8}}=>{{1},{2,6,8},{3,5},{4},{7}}=>{{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2] {{1,3,7,8},{2},{4,6},{5}}=>{{1,2,6,8},{3,5},{4},{7}}=>{{1},{2,3},{4,7},{5,6},{8}}=>[2,2,2,1,1] {{1,8},{2},{3,4,7},{5},{6}}=>{{1,8},{2,5,6},{3},{4},{7}}=>{{1},{2,3,8},{4},{5,6,7}}=>[3,3,1,1] {{1,3,4,8},{2},{5},{6},{7}}=>{{1,5,6,8},{2},{3},{4},{7}}=>{{1},{2,3},{4},{5,6,7,8}}=>[4,2,1,1] {{1,3,8},{2},{4,6,7},{5}}=>{{1,6,8},{2,3,5},{4},{7}}=>{{1},{2,3},{4,8},{5,6},{7}}=>[2,2,2,1,1] {{1,3,4,5,6},{2},{7,8}}=>{{1,2},{3,4,5,6,8},{7}}=>{{1,7},{2,3},{4},{5},{6},{8}}=>[2,2,1,1,1,1] {{1,8},{2},{3,4,5,6},{7}}=>{{1,8},{2},{3,4,5,6},{7}}=>{{1},{2,3,7,8},{4},{5},{6}}=>[4,1,1,1,1] {{1,7,8},{2},{3,4,5,6}}=>{{1,2,8},{3,4,5,6},{7}}=>{{1},{2,3,7},{4},{5},{6},{8}}=>[3,1,1,1,1,1] {{1,3,8},{2},{4,7},{5,6}}=>{{1,6,8},{2,5},{3,4},{7}}=>{{1},{2,3},{4,8},{5,7},{6}}=>[2,2,2,1,1] {{1,3,4,5,6,7},{2},{8}}=>{{1},{2,3,4,5,6,8},{7}}=>{{1,8},{2,3},{4},{5},{6},{7}}=>[2,2,1,1,1,1] {{1,8},{2},{3,4,5,6,7}}=>{{1,8},{2,3,4,5,6},{7}}=>{{1},{2,3,8},{4},{5},{6},{7}}=>[3,1,1,1,1,1] {{1,3,4,5,8},{2},{6,7}}=>{{1,4,5,6,8},{2,3},{7}}=>{{1},{2,3},{4},{5},{6,8},{7}}=>[2,2,1,1,1,1] {{1,3,4,5,6,8},{2},{7}}=>{{1,3,4,5,6,8},{2},{7}}=>{{1},{2,3},{4},{5},{6},{7,8}}=>[2,2,1,1,1,1] {{1,2,3},{4},{5},{6},{7,8}}=>{{1,2},{3},{4},{5},{6,7,8}}=>{{1,4,5,6,7},{2},{3},{8}}=>[5,1,1,1] {{1,2,3},{4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5},{6,7,8}}=>{{1,4,5},{2},{3},{6,7,8}}=>[3,3,1,1] {{1,2,3},{4},{5,8},{6,7}}=>{{1,4},{2,3},{5},{6,7,8}}=>{{1,4,5},{2},{3},{6,8},{7}}=>[3,2,1,1,1] {{1,2,3},{4},{5,6,7,8}}=>{{1,2,3,4},{5},{6,7,8}}=>{{1,4,5},{2},{3},{6},{7},{8}}=>[3,1,1,1,1,1] {{1,2,3},{4,5},{6,7},{8}}=>{{1},{2,3},{4,5},{6,7,8}}=>{{1,4,6,8},{2},{3},{5},{7}}=>[4,1,1,1,1] {{1,2,3},{4,6},{5},{7},{8}}=>{{1},{2},{3,5},{4},{6,7,8}}=>{{1,4,7,8},{2},{3},{5,6}}=>[4,2,1,1] {{1,2,3},{4,8},{5},{6},{7}}=>{{1,5},{2},{3},{4},{6,7,8}}=>{{1,4},{2},{3},{5,6,7,8}}=>[4,2,1,1] {{1,2,3},{4,6,7},{5},{8}}=>{{1},{2,3,5},{4},{6,7,8}}=>{{1,4,8},{2},{3},{5,6},{7}}=>[3,2,1,1,1] {{1,2,3},{4,6,8},{5},{7}}=>{{1,3,5},{2},{4},{6,7,8}}=>{{1,4},{2},{3},{5,6},{7,8}}=>[2,2,2,1,1] {{1,2,3},{4,5,8},{6},{7}}=>{{1,4,5},{2},{3},{6,7,8}}=>{{1,4},{2},{3},{5},{6,7,8}}=>[3,2,1,1,1] {{1,2,3},{4,8},{5,6,7}}=>{{1,5},{2,3,4},{6,7,8}}=>{{1,4},{2},{3},{5,8},{6},{7}}=>[2,2,1,1,1,1] {{1,2,3},{4,5,6,7,8}}=>{{1,2,3,4,5},{6,7,8}}=>{{1,4},{2},{3},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1] {{1,4},{2,3},{5},{6,7},{8}}=>{{1},{2,3},{4},{5,8},{6,7}}=>{{1,5,6,8},{2,4},{3},{7}}=>[4,2,1,1] {{1,4},{2,3},{5},{6,8},{7}}=>{{1,3},{2},{4},{5,8},{6,7}}=>{{1,5,6},{2,4},{3},{7,8}}=>[3,2,2,1] {{1,4},{2,3},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,8},{6,7}}=>{{1,5,7,8},{2,4},{3},{6}}=>[4,2,1,1] {{1,4},{2,3},{5,7},{6},{8}}=>{{1},{2,4},{3},{5,8},{6,7}}=>{{1,5,8},{2,4},{3},{6,7}}=>[3,2,2,1] {{1,4},{2,3},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,8},{6,7}}=>{{1,5},{2,4},{3},{6,7,8}}=>[3,2,2,1] {{1,4},{2,3},{5,7,8},{6}}=>{{1,2,4},{3},{5,8},{6,7}}=>{{1,5},{2,4},{3},{6,7},{8}}=>[2,2,2,1,1] {{1,4},{2,3},{5,6,8},{7}}=>{{1,3,4},{2},{5,8},{6,7}}=>{{1,5},{2,4},{3},{6},{7,8}}=>[2,2,2,1,1] {{1,4},{2,3},{5,6,7,8}}=>{{1,2,3,4},{5,8},{6,7}}=>{{1,5},{2,4},{3},{6},{7},{8}}=>[2,2,1,1,1,1] {{1,5},{2,3},{4},{6,7},{8}}=>{{1},{2,3},{4,8},{5},{6,7}}=>{{1,6,8},{2,4,5},{3},{7}}=>[3,3,1,1] {{1,5},{2,3},{4},{6,8},{7}}=>{{1,3},{2},{4,8},{5},{6,7}}=>{{1,6},{2,4,5},{3},{7,8}}=>[3,2,2,1] {{1,6},{2,3},{4},{5},{7,8}}=>{{1,2},{3,8},{4},{5},{6,7}}=>{{1,7},{2,4,5,6},{3},{8}}=>[4,2,1,1] {{1,8},{2,3},{4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5},{6,7}}=>{{1},{2,4,5,6,7,8},{3}}=>[6,1,1] {{1,5,6},{2,3},{4},{7,8}}=>{{1,2},{3,4,8},{5},{6,7}}=>{{1,7},{2,4,5},{3},{6},{8}}=>[3,2,1,1,1] {{1,7},{2,3},{4},{5,6},{8}}=>{{1},{2,8},{3,4},{5},{6,7}}=>{{1,8},{2,4,5,7},{3},{6}}=>[4,2,1,1] {{1,5,7},{2,3},{4},{6},{8}}=>{{1},{2,4,8},{3},{5},{6,7}}=>{{1,8},{2,4,5},{3},{6,7}}=>[3,2,2,1] {{1,5,7,8},{2,3},{4},{6}}=>{{1,2,4,8},{3},{5},{6,7}}=>{{1},{2,4,5},{3},{6,7},{8}}=>[3,2,1,1,1] {{1,5,8},{2,3},{4},{6,7}}=>{{1,4,8},{2,3},{5},{6,7}}=>{{1},{2,4,5},{3},{6,8},{7}}=>[3,2,1,1,1] {{1,7},{2,3},{4,5},{6},{8}}=>{{1},{2,8},{3},{4,5},{6,7}}=>{{1,8},{2,4,6,7},{3},{5}}=>[4,2,1,1] {{1,7,8},{2,3},{4,5},{6}}=>{{1,2,8},{3},{4,5},{6,7}}=>{{1},{2,4,6,7},{3},{5},{8}}=>[4,1,1,1,1] {{1,6,8},{2,3},{4,5},{7}}=>{{1,3,8},{2},{4,5},{6,7}}=>{{1},{2,4,6},{3},{5},{7,8}}=>[3,2,1,1,1] {{1,4,6},{2,3},{5},{7,8}}=>{{1,2},{3,5,8},{4},{6,7}}=>{{1,7},{2,4},{3},{5,6},{8}}=>[2,2,2,1,1] {{1,7},{2,3},{4,6},{5},{8}}=>{{1},{2,8},{3,5},{4},{6,7}}=>{{1,8},{2,4,7},{3},{5,6}}=>[3,2,2,1] {{1,7,8},{2,3},{4,6},{5}}=>{{1,2,8},{3,5},{4},{6,7}}=>{{1},{2,4,7},{3},{5,6},{8}}=>[3,2,1,1,1] {{1,4,8},{2,3},{5},{6},{7}}=>{{1,5,8},{2},{3},{4},{6,7}}=>{{1},{2,4},{3},{5,6,7,8}}=>[4,2,1,1] {{1,8},{2,3},{4,6,7},{5}}=>{{1,8},{2,3,5},{4},{6,7}}=>{{1},{2,4,8},{3},{5,6},{7}}=>[3,2,1,1,1] {{1,4,6,8},{2,3},{5},{7}}=>{{1,3,5,8},{2},{4},{6,7}}=>{{1},{2,4},{3},{5,6},{7,8}}=>[2,2,2,1,1] {{1,4,5,6},{2,3},{7,8}}=>{{1,2},{3,4,5,8},{6,7}}=>{{1,7},{2,4},{3},{5},{6},{8}}=>[2,2,1,1,1,1] {{1,7},{2,3},{4,5,6},{8}}=>{{1},{2,8},{3,4,5},{6,7}}=>{{1,8},{2,4,7},{3},{5},{6}}=>[3,2,1,1,1] {{1,4,7},{2,3},{5,6},{8}}=>{{1},{2,5,8},{3,4},{6,7}}=>{{1,8},{2,4},{3},{5,7},{6}}=>[2,2,2,1,1] {{1,4,8},{2,3},{5,6},{7}}=>{{1,5,8},{2},{3,4},{6,7}}=>{{1},{2,4},{3},{5,7,8},{6}}=>[3,2,1,1,1] {{1,4,5,7},{2,3},{6},{8}}=>{{1},{2,4,5,8},{3},{6,7}}=>{{1,8},{2,4},{3},{5},{6,7}}=>[2,2,2,1,1] {{1,8},{2,3},{4,5,7},{6}}=>{{1,8},{2,4,5},{3},{6,7}}=>{{1},{2,4,8},{3},{5},{6,7}}=>[3,2,1,1,1] {{1,4,8},{2,3},{5,7},{6}}=>{{1,5,8},{2,4},{3},{6,7}}=>{{1},{2,4},{3},{5,8},{6,7}}=>[2,2,2,1,1] {{1,4,5,8},{2,3},{6},{7}}=>{{1,4,5,8},{2},{3},{6,7}}=>{{1},{2,4},{3},{5},{6,7,8}}=>[3,2,1,1,1] {{1,4,5,6,7},{2,3},{8}}=>{{1},{2,3,4,5,8},{6,7}}=>{{1,8},{2,4},{3},{5},{6},{7}}=>[2,2,1,1,1,1] {{1,4,5,8},{2,3},{6,7}}=>{{1,4,5,8},{2,3},{6,7}}=>{{1},{2,4},{3},{5},{6,8},{7}}=>[2,2,1,1,1,1] {{1,4,5,6,8},{2,3},{7}}=>{{1,3,4,5,8},{2},{6,7}}=>{{1},{2,4},{3},{5},{6},{7,8}}=>[2,2,1,1,1,1] {{1,2,4},{3},{5,6},{7,8}}=>{{1,2},{3,4},{5,7,8},{6}}=>{{1,5,7},{2},{3,4},{6},{8}}=>[3,2,1,1,1] {{1,2,4},{3},{5,8},{6,7}}=>{{1,4},{2,3},{5,7,8},{6}}=>{{1,5},{2},{3,4},{6,8},{7}}=>[2,2,2,1,1] {{1,2,4},{3},{5,6,8},{7}}=>{{1,3,4},{2},{5,7,8},{6}}=>{{1,5},{2},{3,4},{6},{7,8}}=>[2,2,2,1,1] {{1,2,4},{3},{5,6,7,8}}=>{{1,2,3,4},{5,7,8},{6}}=>{{1,5},{2},{3,4},{6},{7},{8}}=>[2,2,1,1,1,1] {{1,5},{2,4},{3},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5,7},{6}}=>{{1,6,7,8},{2,5},{3,4}}=>[4,2,2] {{1,5},{2,4},{3},{6},{7,8}}=>{{1,2},{3},{4,8},{5,7},{6}}=>{{1,6,7},{2,5},{3,4},{8}}=>[3,2,2,1] {{1,5},{2,4},{3},{6,7},{8}}=>{{1},{2,3},{4,8},{5,7},{6}}=>{{1,6,8},{2,5},{3,4},{7}}=>[3,2,2,1] {{1,5},{2,4},{3},{6,8},{7}}=>{{1,3},{2},{4,8},{5,7},{6}}=>{{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2] {{1,8},{2,4},{3},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,7},{6}}=>{{1},{2,5,6,7,8},{3,4}}=>[5,2,1] {{1,5,6},{2,4},{3},{7,8}}=>{{1,2},{3,4,8},{5,7},{6}}=>{{1,7},{2,5},{3,4},{6},{8}}=>[2,2,2,1,1] {{1,7},{2,4},{3},{5,6},{8}}=>{{1},{2,8},{3,4},{5,7},{6}}=>{{1,8},{2,5,7},{3,4},{6}}=>[3,2,2,1] {{1,5,7},{2,4},{3},{6},{8}}=>{{1},{2,4,8},{3},{5,7},{6}}=>{{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2] {{1,5,8},{2,4},{3},{6},{7}}=>{{1,4,8},{2},{3},{5,7},{6}}=>{{1},{2,5},{3,4},{6,7,8}}=>[3,2,2,1] {{1,5,7,8},{2,4},{3},{6}}=>{{1,2,4,8},{3},{5,7},{6}}=>{{1},{2,5},{3,4},{6,7},{8}}=>[2,2,2,1,1] {{1,5,8},{2,4},{3},{6,7}}=>{{1,4,8},{2,3},{5,7},{6}}=>{{1},{2,5},{3,4},{6,8},{7}}=>[2,2,2,1,1] {{1,6},{2,5},{3},{4},{7},{8}}=>{{1},{2},{3,8},{4,7},{5},{6}}=>{{1,7,8},{2,6},{3,4,5}}=>[3,3,2] {{1,6},{2,5},{3},{4},{7,8}}=>{{1,2},{3,8},{4,7},{5},{6}}=>{{1,7},{2,6},{3,4,5},{8}}=>[3,2,2,1] {{1,8},{2,5},{3},{4},{6},{7}}=>{{1,8},{2},{3},{4,7},{5},{6}}=>{{1},{2,6,7,8},{3,4,5}}=>[4,3,1] {{1,2,8},{3},{4},{5},{6},{7}}=>{{1,7,8},{2},{3},{4},{5},{6}}=>{{1},{2},{3,4,5,6,7,8}}=>[6,1,1] {{1,2,7,8},{3},{4},{5},{6}}=>{{1,2,7,8},{3},{4},{5},{6}}=>{{1},{2},{3,4,5,6,7},{8}}=>[5,1,1,1] {{1,8},{2,6,7},{3},{4},{5}}=>{{1,8},{2,3,7},{4},{5},{6}}=>{{1},{2,8},{3,4,5,6},{7}}=>[4,2,1,1] {{1,2,6,8},{3},{4},{5},{7}}=>{{1,3,7,8},{2},{4},{5},{6}}=>{{1},{2},{3,4,5,6},{7,8}}=>[4,2,1,1] {{1,8},{2,7},{3},{4},{5,6}}=>{{1,8},{2,7},{3,4},{5},{6}}=>{{1},{2,8},{3,4,5,7},{6}}=>[4,2,1,1] {{1,8},{2,5,7},{3},{4},{6}}=>{{1,8},{2,4,7},{3},{5},{6}}=>{{1},{2,8},{3,4,5},{6,7}}=>[3,2,2,1] {{1,2,5,6,7},{3},{4},{8}}=>{{1},{2,3,4,7,8},{5},{6}}=>{{1,8},{2},{3,4,5},{6},{7}}=>[3,2,1,1,1] {{1,8},{2,5,6,7},{3},{4}}=>{{1,8},{2,3,4,7},{5},{6}}=>{{1},{2,8},{3,4,5},{6},{7}}=>[3,2,1,1,1] {{1,2,5,6,7,8},{3},{4}}=>{{1,2,3,4,7,8},{5},{6}}=>{{1},{2},{3,4,5},{6},{7},{8}}=>[3,1,1,1,1,1] {{1,2,4,5},{3},{6},{7},{8}}=>{{1},{2},{3},{4,5,7,8},{6}}=>{{1,6,7,8},{2},{3,4},{5}}=>[4,2,1,1] {{1,6},{2,4,5},{3},{7,8}}=>{{1,2},{3,8},{4,5,7},{6}}=>{{1,7},{2,6},{3,4},{5},{8}}=>[2,2,2,1,1] {{1,7},{2,4,5},{3},{6},{8}}=>{{1},{2,8},{3},{4,5,7},{6}}=>{{1,8},{2,6,7},{3,4},{5}}=>[3,2,2,1] {{1,7,8},{2,4,5},{3},{6}}=>{{1,2,8},{3},{4,5,7},{6}}=>{{1},{2,6,7},{3,4},{5},{8}}=>[3,2,1,1,1] {{1,6,7},{2,4,5},{3},{8}}=>{{1},{2,3,8},{4,5,7},{6}}=>{{1,8},{2,6},{3,4},{5},{7}}=>[2,2,2,1,1] {{1,8},{2,4,5},{3},{6,7}}=>{{1,8},{2,3},{4,5,7},{6}}=>{{1},{2,6,8},{3,4},{5},{7}}=>[3,2,1,1,1] {{1,7},{2,6},{3},{4,5},{8}}=>{{1},{2,8},{3,7},{4,5},{6}}=>{{1,8},{2,7},{3,4,6},{5}}=>[3,2,2,1] {{1,8},{2,7},{3},{4,5},{6}}=>{{1,8},{2,7},{3},{4,5},{6}}=>{{1},{2,8},{3,4,6,7},{5}}=>[4,2,1,1] {{1,8},{2,6,7},{3},{4,5}}=>{{1,8},{2,3,7},{4,5},{6}}=>{{1},{2,8},{3,4,6},{5},{7}}=>[3,2,1,1,1] {{1,7},{2,4,6},{3},{5},{8}}=>{{1},{2,8},{3,5,7},{4},{6}}=>{{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2] {{1,7,8},{2,4,6},{3},{5}}=>{{1,2,8},{3,5,7},{4},{6}}=>{{1},{2,7},{3,4},{5,6},{8}}=>[2,2,2,1,1] {{1,8},{2,7},{3},{4,6},{5}}=>{{1,8},{2,7},{3,5},{4},{6}}=>{{1},{2,8},{3,4,7},{5,6}}=>[3,2,2,1] {{1,8},{2,4,7},{3},{5},{6}}=>{{1,8},{2,5,7},{3},{4},{6}}=>{{1},{2,8},{3,4},{5,6,7}}=>[3,2,2,1] {{1,2,4,8},{3},{5},{6},{7}}=>{{1,5,7,8},{2},{3},{4},{6}}=>{{1},{2},{3,4},{5,6,7,8}}=>[4,2,1,1] {{1,8},{2,4,6,7},{3},{5}}=>{{1,8},{2,3,5,7},{4},{6}}=>{{1},{2,8},{3,4},{5,6},{7}}=>[2,2,2,1,1] {{1,7},{2,4,5,6},{3},{8}}=>{{1},{2,8},{3,4,5,7},{6}}=>{{1,8},{2,7},{3,4},{5},{6}}=>[2,2,2,1,1] {{1,8},{2,4,7},{3},{5,6}}=>{{1,8},{2,5,7},{3,4},{6}}=>{{1},{2,8},{3,4},{5,7},{6}}=>[2,2,2,1,1] {{1,2,4,5,6,7},{3},{8}}=>{{1},{2,3,4,5,7,8},{6}}=>{{1,8},{2},{3,4},{5},{6},{7}}=>[2,2,1,1,1,1] {{1,8},{2,4,5,6,7},{3}}=>{{1,8},{2,3,4,5,7},{6}}=>{{1},{2,8},{3,4},{5},{6},{7}}=>[2,2,1,1,1,1] {{1,2,4,5,8},{3},{6,7}}=>{{1,4,5,7,8},{2,3},{6}}=>{{1},{2},{3,4},{5},{6,8},{7}}=>[2,2,1,1,1,1] {{1,2,4,5,6,8},{3},{7}}=>{{1,3,4,5,7,8},{2},{6}}=>{{1},{2},{3,4},{5},{6},{7,8}}=>[2,2,1,1,1,1] {{1,2,3,4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,6,7,8}}=>{{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1] {{1,2,3,4},{5},{6,7},{8}}=>{{1},{2,3},{4},{5,6,7,8}}=>{{1,5,6,8},{2},{3},{4},{7}}=>[4,1,1,1,1] {{1,2,3,4},{5,6},{7},{8}}=>{{1},{2},{3,4},{5,6,7,8}}=>{{1,5,7,8},{2},{3},{4},{6}}=>[4,1,1,1,1] {{1,2,3,4},{5,6},{7,8}}=>{{1,2},{3,4},{5,6,7,8}}=>{{1,5,7},{2},{3},{4},{6},{8}}=>[3,1,1,1,1,1] {{1,2,3,4},{5,8},{6},{7}}=>{{1,4},{2},{3},{5,6,7,8}}=>{{1,5},{2},{3},{4},{6,7,8}}=>[3,2,1,1,1] {{1,2,3,4},{5,6,7,8}}=>{{1,2,3,4},{5,6,7,8}}=>{{1,5},{2},{3},{4},{6},{7},{8}}=>[2,1,1,1,1,1,1] {{1,5},{2,3,4},{6},{7},{8}}=>{{1},{2},{3},{4,8},{5,6,7}}=>{{1,6,7,8},{2,5},{3},{4}}=>[4,2,1,1] {{1,5},{2,3,4},{6,8},{7}}=>{{1,3},{2},{4,8},{5,6,7}}=>{{1,6},{2,5},{3},{4},{7,8}}=>[2,2,2,1,1] {{1,5},{2,3,4},{6,7,8}}=>{{1,2,3},{4,8},{5,6,7}}=>{{1,6},{2,5},{3},{4},{7},{8}}=>[2,2,1,1,1,1] {{1,8},{2,3,4},{5},{6},{7}}=>{{1,8},{2},{3},{4},{5,6,7}}=>{{1},{2,5,6,7,8},{3},{4}}=>[5,1,1,1] {{1,8},{2,3,4},{5},{6,7}}=>{{1,8},{2,3},{4},{5,6,7}}=>{{1},{2,5,6,8},{3},{4},{7}}=>[4,1,1,1,1] {{1,5,6},{2,3,4},{7},{8}}=>{{1},{2},{3,4,8},{5,6,7}}=>{{1,7,8},{2,5},{3},{4},{6}}=>[3,2,1,1,1] {{1,7},{2,3,4},{5,6},{8}}=>{{1},{2,8},{3,4},{5,6,7}}=>{{1,8},{2,5,7},{3},{4},{6}}=>[3,2,1,1,1] {{1,5,6,7},{2,3,4},{8}}=>{{1},{2,3,4,8},{5,6,7}}=>{{1,8},{2,5},{3},{4},{6},{7}}=>[2,2,1,1,1,1] {{1,5,8},{2,3,4},{6,7}}=>{{1,4,8},{2,3},{5,6,7}}=>{{1},{2,5},{3},{4},{6,8},{7}}=>[2,2,1,1,1,1] {{1,2,5},{3,4},{6},{7},{8}}=>{{1},{2},{3},{4,7,8},{5,6}}=>{{1,6,7,8},{2},{3,5},{4}}=>[4,2,1,1] {{1,2,5},{3,4},{6,7},{8}}=>{{1},{2,3},{4,7,8},{5,6}}=>{{1,6,8},{2},{3,5},{4},{7}}=>[3,2,1,1,1] {{1,2,5},{3,4},{6,8},{7}}=>{{1,3},{2},{4,7,8},{5,6}}=>{{1,6},{2},{3,5},{4},{7,8}}=>[2,2,2,1,1] {{1,7},{2,5},{3,4},{6},{8}}=>{{1},{2,8},{3},{4,7},{5,6}}=>{{1,8},{2,6,7},{3,5},{4}}=>[3,2,2,1] {{1,7,8},{2,5},{3,4},{6}}=>{{1,2,8},{3},{4,7},{5,6}}=>{{1},{2,6,7},{3,5},{4},{8}}=>[3,2,1,1,1] {{1,6,8},{2,5},{3,4},{7}}=>{{1,3,8},{2},{4,7},{5,6}}=>{{1},{2,6},{3,5},{4},{7,8}}=>[2,2,2,1,1] {{1,2,6},{3,4},{5},{7,8}}=>{{1,2},{3,7,8},{4},{5,6}}=>{{1,7},{2},{3,5,6},{4},{8}}=>[3,2,1,1,1] {{1,7},{2,6},{3,4},{5},{8}}=>{{1},{2,8},{3,7},{4},{5,6}}=>{{1,8},{2,7},{3,5,6},{4}}=>[3,2,2,1] {{1,7,8},{2,6},{3,4},{5}}=>{{1,2,8},{3,7},{4},{5,6}}=>{{1},{2,7},{3,5,6},{4},{8}}=>[3,2,1,1,1] {{1,8},{2,6,7},{3,4},{5}}=>{{1,8},{2,3,7},{4},{5,6}}=>{{1},{2,8},{3,5,6},{4},{7}}=>[3,2,1,1,1] {{1,7,8},{2,5,6},{3,4}}=>{{1,2,8},{3,4,7},{5,6}}=>{{1},{2,7},{3,5},{4},{6},{8}}=>[2,2,1,1,1,1] {{1,2,8},{3,4},{5,6},{7}}=>{{1,7,8},{2},{3,4},{5,6}}=>{{1},{2},{3,5,7,8},{4},{6}}=>[4,1,1,1,1] {{1,8},{2,5,7},{3,4},{6}}=>{{1,8},{2,4,7},{3},{5,6}}=>{{1},{2,8},{3,5},{4},{6,7}}=>[2,2,2,1,1] {{1,2,8},{3,4},{5,7},{6}}=>{{1,7,8},{2,4},{3},{5,6}}=>{{1},{2},{3,5,8},{4},{6,7}}=>[3,2,1,1,1] {{1,2,5,8},{3,4},{6},{7}}=>{{1,4,7,8},{2},{3},{5,6}}=>{{1},{2},{3,5},{4},{6,7,8}}=>[3,2,1,1,1] {{1,8},{2,5,6,7},{3,4}}=>{{1,8},{2,3,4,7},{5,6}}=>{{1},{2,8},{3,5},{4},{6},{7}}=>[2,2,1,1,1,1] {{1,2,3,5},{4},{6},{7},{8}}=>{{1},{2},{3},{4,6,7,8},{5}}=>{{1,6,7,8},{2},{3},{4,5}}=>[4,2,1,1] {{1,2,3,5},{4},{6},{7,8}}=>{{1,2},{3},{4,6,7,8},{5}}=>{{1,6,7},{2},{3},{4,5},{8}}=>[3,2,1,1,1] {{1,6},{2,3,5},{4},{7},{8}}=>{{1},{2},{3,8},{4,6,7},{5}}=>{{1,7,8},{2,6},{3},{4,5}}=>[3,2,2,1] {{1,6},{2,3,5},{4},{7,8}}=>{{1,2},{3,8},{4,6,7},{5}}=>{{1,7},{2,6},{3},{4,5},{8}}=>[2,2,2,1,1] {{1,8},{2,3,5},{4},{6,7}}=>{{1,8},{2,3},{4,6,7},{5}}=>{{1},{2,6,8},{3},{4,5},{7}}=>[3,2,1,1,1] {{1,6,8},{2,3,5},{4},{7}}=>{{1,3,8},{2},{4,6,7},{5}}=>{{1},{2,6},{3},{4,5},{7,8}}=>[2,2,2,1,1] {{1,2,6},{3,5},{4},{7,8}}=>{{1,2},{3,7,8},{4,6},{5}}=>{{1,7},{2},{3,6},{4,5},{8}}=>[2,2,2,1,1] {{1,7},{2,6},{3,5},{4},{8}}=>{{1},{2,8},{3,7},{4,6},{5}}=>{{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2] {{1,7,8},{2,6},{3,5},{4}}=>{{1,2,8},{3,7},{4,6},{5}}=>{{1},{2,7},{3,6},{4,5},{8}}=>[2,2,2,1,1] {{1,8},{2,7},{3,5},{4},{6}}=>{{1,8},{2,7},{3},{4,6},{5}}=>{{1},{2,8},{3,6,7},{4,5}}=>[3,2,2,1] {{1,8},{2,6,7},{3,5},{4}}=>{{1,8},{2,3,7},{4,6},{5}}=>{{1},{2,8},{3,6},{4,5},{7}}=>[2,2,2,1,1] {{1,2,3,6},{4},{5},{7,8}}=>{{1,2},{3,6,7,8},{4},{5}}=>{{1,7},{2},{3},{4,5,6},{8}}=>[3,2,1,1,1] {{1,7},{2,3,6},{4},{5},{8}}=>{{1},{2,8},{3,6,7},{4},{5}}=>{{1,8},{2,7},{3},{4,5,6}}=>[3,2,2,1] {{1,8},{2,7},{3,6},{4},{5}}=>{{1,8},{2,7},{3,6},{4},{5}}=>{{1},{2,8},{3,7},{4,5,6}}=>[3,2,2,1] {{1,2,8},{3,7},{4},{5},{6}}=>{{1,7,8},{2,6},{3},{4},{5}}=>{{1},{2},{3,8},{4,5,6,7}}=>[4,2,1,1] {{1,2,3,8},{4},{5},{6},{7}}=>{{1,6,7,8},{2},{3},{4},{5}}=>{{1},{2},{3},{4,5,6,7,8}}=>[5,1,1,1] {{1,2,8},{3,6,7},{4},{5}}=>{{1,7,8},{2,3,6},{4},{5}}=>{{1},{2},{3,8},{4,5,6},{7}}=>[3,2,1,1,1] {{1,8},{2,7},{3,5,6},{4}}=>{{1,8},{2,7},{3,4,6},{5}}=>{{1},{2,8},{3,7},{4,5},{6}}=>[2,2,2,1,1] {{1,2,3,5,6,7},{4},{8}}=>{{1},{2,3,4,6,7,8},{5}}=>{{1,8},{2},{3},{4,5},{6},{7}}=>[2,2,1,1,1,1] {{1,2,3,5,6,8},{4},{7}}=>{{1,3,4,6,7,8},{2},{5}}=>{{1},{2},{3},{4,5},{6},{7,8}}=>[2,2,1,1,1,1] {{1,2,3,4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5,6,7,8}}=>{{1,6,7,8},{2},{3},{4},{5}}=>[4,1,1,1,1] {{1,2,3,4,5},{6,7},{8}}=>{{1},{2,3},{4,5,6,7,8}}=>{{1,6,8},{2},{3},{4},{5},{7}}=>[3,1,1,1,1,1] {{1,2,3,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,6,7,8}}=>{{1,6},{2},{3},{4},{5},{7,8}}=>[2,2,1,1,1,1] {{1,2,3,4,5},{6,7,8}}=>{{1,2,3},{4,5,6,7,8}}=>{{1,6},{2},{3},{4},{5},{7},{8}}=>[2,1,1,1,1,1,1] {{1,6},{2,3,4,5},{7},{8}}=>{{1},{2},{3,8},{4,5,6,7}}=>{{1,7,8},{2,6},{3},{4},{5}}=>[3,2,1,1,1] {{1,2,3,6},{4,5},{7,8}}=>{{1,2},{3,6,7,8},{4,5}}=>{{1,7},{2},{3},{4,6},{5},{8}}=>[2,2,1,1,1,1] {{1,2,8},{3,6},{4,5},{7}}=>{{1,7,8},{2},{3,6},{4,5}}=>{{1},{2},{3,7,8},{4,6},{5}}=>[3,2,1,1,1] {{1,8},{2,3,7},{4,5},{6}}=>{{1,8},{2,6,7},{3},{4,5}}=>{{1},{2,8},{3},{4,6,7},{5}}=>[3,2,1,1,1] {{1,2,8},{3,7},{4,5},{6}}=>{{1,7,8},{2,6},{3},{4,5}}=>{{1},{2},{3,8},{4,6,7},{5}}=>[3,2,1,1,1] {{1,2,3,8},{4,5},{6},{7}}=>{{1,6,7,8},{2},{3},{4,5}}=>{{1},{2},{3},{4,6,7,8},{5}}=>[4,1,1,1,1] {{1,2,8},{3,6,7},{4,5}}=>{{1,7,8},{2,3,6},{4,5}}=>{{1},{2},{3,8},{4,6},{5},{7}}=>[2,2,1,1,1,1] {{1,2,3,4,6},{5},{7,8}}=>{{1,2},{3,5,6,7,8},{4}}=>{{1,7},{2},{3},{4},{5,6},{8}}=>[2,2,1,1,1,1] {{1,8},{2,7},{3,4,6},{5}}=>{{1,8},{2,7},{3,5,6},{4}}=>{{1},{2,8},{3,7},{4},{5,6}}=>[2,2,2,1,1] {{1,2,8},{3,4,6},{5},{7}}=>{{1,7,8},{2},{3,5,6},{4}}=>{{1},{2},{3,7,8},{4},{5,6}}=>[3,2,1,1,1] {{1,8},{2,3,7},{4,6},{5}}=>{{1,8},{2,6,7},{3,5},{4}}=>{{1},{2,8},{3},{4,7},{5,6}}=>[2,2,2,1,1] {{1,2,8},{3,7},{4,6},{5}}=>{{1,7,8},{2,6},{3,5},{4}}=>{{1},{2},{3,8},{4,7},{5,6}}=>[2,2,2,1,1] {{1,2,3,8},{4,6},{5},{7}}=>{{1,6,7,8},{2},{3,5},{4}}=>{{1},{2},{3},{4,7,8},{5,6}}=>[3,2,1,1,1] {{1,2,3,4,7},{5},{6},{8}}=>{{1},{2,5,6,7,8},{3},{4}}=>{{1,8},{2},{3},{4},{5,6,7}}=>[3,2,1,1,1] {{1,8},{2,3,4,7},{5},{6}}=>{{1,8},{2,5,6,7},{3},{4}}=>{{1},{2,8},{3},{4},{5,6,7}}=>[3,2,1,1,1] {{1,2,8},{3,4,7},{5},{6}}=>{{1,7,8},{2,5,6},{3},{4}}=>{{1},{2},{3,8},{4},{5,6,7}}=>[3,2,1,1,1] {{1,2,3,8},{4,7},{5},{6}}=>{{1,6,7,8},{2,5},{3},{4}}=>{{1},{2},{3},{4,8},{5,6,7}}=>[3,2,1,1,1] {{1,2,3,4,8},{5},{6},{7}}=>{{1,5,6,7,8},{2},{3},{4}}=>{{1},{2},{3},{4},{5,6,7,8}}=>[4,1,1,1,1] {{1,2,3,4,7,8},{5},{6}}=>{{1,2,5,6,7,8},{3},{4}}=>{{1},{2},{3},{4},{5,6,7},{8}}=>[3,1,1,1,1,1] {{1,2,3,4,6,8},{5},{7}}=>{{1,3,5,6,7,8},{2},{4}}=>{{1},{2},{3},{4},{5,6},{7,8}}=>[2,2,1,1,1,1] {{1,2,3,4,6,7,8},{5}}=>{{1,2,3,5,6,7,8},{4}}=>{{1},{2},{3},{4},{5,6},{7},{8}}=>[2,1,1,1,1,1,1] {{1,2,3,4,5,6},{7},{8}}=>{{1},{2},{3,4,5,6,7,8}}=>{{1,7,8},{2},{3},{4},{5},{6}}=>[3,1,1,1,1,1] {{1,2,3,4,5,6},{7,8}}=>{{1,2},{3,4,5,6,7,8}}=>{{1,7},{2},{3},{4},{5},{6},{8}}=>[2,1,1,1,1,1,1] {{1,7},{2,3,4,5,6},{8}}=>{{1},{2,8},{3,4,5,6,7}}=>{{1,8},{2,7},{3},{4},{5},{6}}=>[2,2,1,1,1,1] {{1,8},{2,7},{3,4,5,6}}=>{{1,8},{2,7},{3,4,5,6}}=>{{1},{2,8},{3,7},{4},{5},{6}}=>[2,2,1,1,1,1] {{1,2,8},{3,7},{4,5,6}}=>{{1,7,8},{2,6},{3,4,5}}=>{{1},{2},{3,8},{4,7},{5},{6}}=>[2,2,1,1,1,1] {{1,2,3,4,7},{5,6},{8}}=>{{1},{2,5,6,7,8},{3,4}}=>{{1,8},{2},{3},{4},{5,7},{6}}=>[2,2,1,1,1,1] {{1,2,3,8},{4,7},{5,6}}=>{{1,6,7,8},{2,5},{3,4}}=>{{1},{2},{3},{4,8},{5,7},{6}}=>[2,2,1,1,1,1] {{1,2,3,4,7,8},{5,6}}=>{{1,2,5,6,7,8},{3,4}}=>{{1},{2},{3},{4},{5,7},{6},{8}}=>[2,1,1,1,1,1,1] {{1,2,3,4,5,7},{6},{8}}=>{{1},{2,4,5,6,7,8},{3}}=>{{1,8},{2},{3},{4},{5},{6,7}}=>[2,2,1,1,1,1] {{1,2,3,4,8},{5,7},{6}}=>{{1,5,6,7,8},{2,4},{3}}=>{{1},{2},{3},{4},{5,8},{6,7}}=>[2,2,1,1,1,1] {{1,2,3,4,5,8},{6},{7}}=>{{1,4,5,6,7,8},{2},{3}}=>{{1},{2},{3},{4},{5},{6,7,8}}=>[3,1,1,1,1,1] {{1,2,3,4,5,6,7},{8}}=>{{1},{2,3,4,5,6,7,8}}=>{{1,8},{2},{3},{4},{5},{6},{7}}=>[2,1,1,1,1,1,1] {{1,8},{2,3,4,5,6,7}}=>{{1,8},{2,3,4,5,6,7}}=>{{1},{2,8},{3},{4},{5},{6},{7}}=>[2,1,1,1,1,1,1] {{1,2,8},{3,4,5,6,7}}=>{{1,7,8},{2,3,4,5,6}}=>{{1},{2},{3,8},{4},{5},{6},{7}}=>[2,1,1,1,1,1,1] {{1,2,3,8},{4,5,6,7}}=>{{1,6,7,8},{2,3,4,5}}=>{{1},{2},{3},{4,8},{5},{6},{7}}=>[2,1,1,1,1,1,1] {{1,2,3,4,8},{5,6,7}}=>{{1,5,6,7,8},{2,3,4}}=>{{1},{2},{3},{4},{5,8},{6},{7}}=>[2,1,1,1,1,1,1] {{1,2,3,4,5,8},{6,7}}=>{{1,4,5,6,7,8},{2,3}}=>{{1},{2},{3},{4},{5},{6,8},{7}}=>[2,1,1,1,1,1,1] {{1,2,3,4,5,6,8},{7}}=>{{1,3,4,5,6,7,8},{2}}=>{{1},{2},{3},{4},{5},{6},{7,8}}=>[2,1,1,1,1,1,1] {{1,2,3,4,5,6,7,8}}=>{{1,2,3,4,5,6,7,8}}=>{{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,1,1,1,1,1,1,1] {{1,3,4,6,7,8},{2,5}}=>{{1,2,3,5,6,8},{4,7}}=>{{1},{2,5},{3,6},{4},{7},{8}}=>[2,2,1,1,1,1] {{1,3,4,5,7,8},{2,6}}=>{{1,2,4,5,6,8},{3,7}}=>{{1},{2,6},{3,7},{4},{5},{8}}=>[2,2,1,1,1,1] {{1,3,4,5,6,8},{2,7}}=>{{1,3,4,5,6,8},{2,7}}=>{{1},{2,7},{3,8},{4},{5},{6}}=>[2,2,1,1,1,1] {{1,2,4,5,6,8},{3,7}}=>{{1,3,4,5,7,8},{2,6}}=>{{1},{2},{3,7},{4,8},{5},{6}}=>[2,2,1,1,1,1] {{1,2,3,5,6,8},{4,7}}=>{{1,3,4,6,7,8},{2,5}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>[2,2,1,1,1,1] {{1,2,3,4,6,8},{5,7}}=>{{1,3,5,6,7,8},{2,4}}=>{{1},{2},{3},{4},{5,7},{6,8}}=>[2,2,1,1,1,1] {{1,3,4,5,6,7},{2,8}}=>{{1,7},{2,3,4,5,6,8}}=>{{1,3},{2,8},{4},{5},{6},{7}}=>[2,2,1,1,1,1] {{1,2,3,5,6,7},{4,8}}=>{{1,5},{2,3,4,6,7,8}}=>{{1,5},{2},{3},{4,8},{6},{7}}=>[2,2,1,1,1,1] {{1,2,3,4,6,7},{5,8}}=>{{1,4},{2,3,5,6,7,8}}=>{{1,6},{2},{3},{4},{5,8},{7}}=>[2,2,1,1,1,1] {{1,2,3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6,7,8}}=>{{1,7},{2},{3},{4},{5},{6,8}}=>[2,2,1,1,1,1] {{1,3,5,7,8},{2,4,6}}=>{{1,2,4,6,8},{3,5,7}}=>{{1},{2,4,6},{3,5,7},{8}}=>[3,3,1,1] {{1,3,5,6,8},{2,4,7}}=>{{1,3,4,6,8},{2,5,7}}=>{{1},{2,4,7},{3,5,8},{6}}=>[3,3,1,1] {{1,3,4,6,8},{2,5,7}}=>{{1,3,5,6,8},{2,4,7}}=>{{1},{2,5,7},{3,6,8},{4}}=>[3,3,1,1] {{1,2,4,6,8},{3,5,7}}=>{{1,3,5,7,8},{2,4,6}}=>{{1},{2},{3,5,7},{4,6,8}}=>[3,3,1,1] {{1,2,4,5,8},{3,6,7}}=>{{1,4,5,7,8},{2,3,6}}=>{{1},{2},{3,6},{4,8},{5},{7}}=>[2,2,1,1,1,1] {{1,2,3,5,8},{4,6,7}}=>{{1,4,6,7,8},{2,3,5}}=>{{1},{2},{3},{4,6},{5,8},{7}}=>[2,2,1,1,1,1] {{1,3,4,6,7},{2,5,8}}=>{{1,4,7},{2,3,5,6,8}}=>{{1,3,6},{2,5,8},{4},{7}}=>[3,3,1,1] {{1,2,4,6,7},{3,5,8}}=>{{1,4,6},{2,3,5,7,8}}=>{{1,4,6},{2},{3,5,8},{7}}=>[3,3,1,1] {{1,3,4,5,7},{2,6,8}}=>{{1,3,7},{2,4,5,6,8}}=>{{1,3,7},{2,6,8},{4},{5}}=>[3,3,1,1] {{1,2,4,5,7},{3,6,8}}=>{{1,3,6},{2,4,5,7,8}}=>{{1,4,7},{2},{3,6,8},{5}}=>[3,3,1,1] {{1,3,5,7,8},{2,4},{6}}=>{{1,2,4,6,8},{3},{5,7}}=>{{1},{2,4},{3,5},{6,7},{8}}=>[2,2,2,1,1] {{1,2,3,5,8},{4,7},{6}}=>{{1,4,6,7,8},{2,5},{3}}=>{{1},{2},{3},{4,6,7},{5,8}}=>[3,2,1,1,1] {{1,3,4,6,8},{2,5},{7}}=>{{1,3,5,6,8},{2},{4,7}}=>{{1},{2,5},{3,6},{4},{7,8}}=>[2,2,2,1,1] {{1,3,5,7},{2,4,6,8}}=>{{1,3,5,7},{2,4,6,8}}=>{{1,3,5,7},{2,4,6,8}}=>[4,4] {{1,2,5,7},{3,4,6,8}}=>{{1,3,5,6},{2,4,7,8}}=>{{1,5,7},{2},{3,6,8},{4}}=>[3,3,1,1] {{1,3,4,7},{2,5,6,8}}=>{{1,3,4,7},{2,5,6,8}}=>{{1,3,7},{2,5,8},{4},{6}}=>[3,3,1,1] {{1,2,4,7},{3,5,6,8}}=>{{1,3,4,6},{2,5,7,8}}=>{{1,4,7},{2},{3,5,8},{6}}=>[3,3,1,1] {{1,3,5,6},{2,4,7,8}}=>{{1,2,5,7},{3,4,6,8}}=>{{1,3,5},{2,4,7},{6},{8}}=>[3,3,1,1] {{1,2,5,6},{3,4,7,8}}=>{{1,2,5,6},{3,4,7,8}}=>{{1,5},{2},{3,7},{4},{6},{8}}=>[2,2,1,1,1,1] {{1,3,4,6},{2,5,7,8}}=>{{1,2,4,7},{3,5,6,8}}=>{{1,3,6},{2,5,7},{4},{8}}=>[3,3,1,1] {{1,2,4,6},{3,5,7,8}}=>{{1,2,4,6},{3,5,7,8}}=>{{1,4,6},{2},{3,5,7},{8}}=>[3,3,1,1] {{1,2,3,6},{4,5,7,8}}=>{{1,2,4,5},{3,6,7,8}}=>{{1,6},{2},{3},{4,7},{5},{8}}=>[2,2,1,1,1,1] {{1,2,4,5},{3,6,7,8}}=>{{1,2,3,6},{4,5,7,8}}=>{{1,4},{2},{3,6},{5},{7},{8}}=>[2,2,1,1,1,1] {{1,2,3,5},{4,6,7,8}}=>{{1,2,3,5},{4,6,7,8}}=>{{1,5},{2},{3},{4,6},{7},{8}}=>[2,2,1,1,1,1] {{1,2,4,8},{3,6,7},{5}}=>{{1,5,7,8},{2,3,6},{4}}=>{{1},{2},{3,5,6},{4,8},{7}}=>[3,2,1,1,1] {{1,3,6,7},{2,4,8},{5}}=>{{1,5,7},{2,3,6,8},{4}}=>{{1,3,5,6},{2,4,8},{7}}=>[4,3,1] {{1,3,5,7},{2,6,8},{4}}=>{{1,3,7},{2,4,6,8},{5}}=>{{1,3,7},{2,6,8},{4,5}}=>[3,3,2] {{1,3,5,7},{2,4,8},{6}}=>{{1,5,7},{2,4,6,8},{3}}=>{{1,3,5},{2,4,8},{6,7}}=>[3,3,2] {{1,3,4,6},{2,5,7},{8}}=>{{1},{2,4,7},{3,5,6,8}}=>{{1,3,6,8},{2,5,7},{4}}=>[4,3,1] {{1,4,7,8},{2,5},{3,6}}=>{{1,2,5,8},{3,6},{4,7}}=>{{1},{2,5},{3,6},{4,7},{8}}=>[2,2,2,1,1] {{1,4,6,8},{2,5},{3,7}}=>{{1,3,5,8},{2,6},{4,7}}=>{{1},{2,5},{3,7},{4,6,8}}=>[3,2,2,1] {{1,3,6,8},{2,4},{5,7}}=>{{1,3,6,8},{2,4},{5,7}}=>{{1},{2,4},{3,6,8},{5,7}}=>[3,2,2,1] {{1,4,5,8},{2,6},{3,7}}=>{{1,4,5,8},{2,6},{3,7}}=>{{1},{2,6},{3,7},{4,8},{5}}=>[2,2,2,1,1] {{1,3,5,8},{2,6},{4,7}}=>{{1,4,6,8},{2,5},{3,7}}=>{{1},{2,6},{3,5,8},{4,7}}=>[3,2,2,1] {{1,2,3,8},{4,6},{5,7}}=>{{1,6,7,8},{2,4},{3,5}}=>{{1},{2},{3},{4,6,8},{5,7}}=>[3,2,1,1,1] {{1,3,4,8},{2,5},{6,7}}=>{{1,5,6,8},{2,3},{4,7}}=>{{1},{2,5},{3,6,8},{4},{7}}=>[3,2,1,1,1] {{1,4,6,7},{2,5},{3,8}}=>{{1,6},{2,3,5,8},{4,7}}=>{{1,4,6},{2,5},{3,8},{7}}=>[3,2,2,1] {{1,3,6,7},{2,5},{4,8}}=>{{1,5},{2,3,6,8},{4,7}}=>{{1,3,6},{2,5},{4,8},{7}}=>[3,2,2,1] {{1,3,6,7},{2,4},{5,8}}=>{{1,4},{2,3,6,8},{5,7}}=>{{1,3,6},{2,4},{5,8},{7}}=>[3,2,2,1] {{1,4,5,7},{2,6},{3,8}}=>{{1,6},{2,4,5,8},{3,7}}=>{{1,4,7},{2,6},{3,8},{5}}=>[3,2,2,1] {{1,3,5,7},{2,6},{4,8}}=>{{1,5},{2,4,6,8},{3,7}}=>{{1,3,5,7},{2,6},{4,8}}=>[4,2,2] {{1,3,4,7},{2,6},{5,8}}=>{{1,4},{2,5,6,8},{3,7}}=>{{1,3,7},{2,6},{4},{5,8}}=>[3,2,2,1] {{1,3,4,7},{2,5},{6,8}}=>{{1,3},{2,5,6,8},{4,7}}=>{{1,3,7},{2,5},{4},{6,8}}=>[3,2,2,1] {{1,3,5,6},{2,7},{4,8}}=>{{1,5},{2,7},{3,4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}=>[3,2,2,1] {{1,2,5,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,4,7,8}}=>{{1,5},{2},{3,7},{4,8},{6}}=>[2,2,2,1,1] {{1,2,4,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,5,7,8}}=>{{1,4,6},{2},{3,7},{5,8}}=>[3,2,2,1] {{1,2,3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6,7,8}}=>{{1,6},{2},{3},{4,7},{5,8}}=>[2,2,2,1,1] {{1,2,4,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,5,7,8}}=>{{1,4},{2},{3,7},{5},{6,8}}=>[2,2,2,1,1] {{1,2,3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6,7,8}}=>{{1,5},{2},{3},{4,7},{6,8}}=>[2,2,2,1,1] {{1,2,3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6,7,8}}=>{{1,5,7},{2},{3},{4},{6,8}}=>[3,2,1,1,1] {{1,3,4,6},{2,5},{7,8}}=>{{1,2},{3,5,6,8},{4,7}}=>{{1,7},{2,5},{3,6},{4},{8}}=>[2,2,2,1,1] {{1,2,4,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,5,7,8}}=>{{1,4,7},{2},{3,6},{5},{8}}=>[3,2,1,1,1] {{1,2,3,5},{4,6},{7,8}}=>{{1,2},{3,5},{4,6,7,8}}=>{{1,5,7},{2},{3},{4,6},{8}}=>[3,2,1,1,1] {{1,5,7,8},{2,6},{3},{4}}=>{{1,2,4,8},{3,7},{5},{6}}=>{{1},{2,6},{3,4,5,7},{8}}=>[4,2,1,1] {{1,3,7,8},{2,6},{4},{5}}=>{{1,2,6,8},{3,7},{4},{5}}=>{{1},{2,4,5,6},{3,7},{8}}=>[4,2,1,1] {{1,4,7,8},{2,5},{3},{6}}=>{{1,2,5,8},{3},{4,7},{6}}=>{{1},{2,5},{3,4,6,7},{8}}=>[4,2,1,1] {{1,3,7,8},{2,5},{4},{6}}=>{{1,2,6,8},{3},{4,7},{5}}=>{{1},{2,4,5},{3,6,7},{8}}=>[3,3,1,1] {{1,5,6,8},{2,7},{3},{4}}=>{{1,3,4,8},{2,7},{5},{6}}=>{{1},{2,7},{3,4,5,8},{6}}=>[4,2,1,1] {{1,4,6,8},{2,7},{3},{5}}=>{{1,3,5,8},{2,7},{4},{6}}=>{{1},{2,7},{3,4,8},{5,6}}=>[3,2,2,1] {{1,2,6,8},{3,7},{4},{5}}=>{{1,3,7,8},{2,6},{4},{5}}=>{{1},{2},{3,7},{4,5,6,8}}=>[4,2,1,1] {{1,4,5,8},{2,7},{3},{6}}=>{{1,4,5,8},{2,7},{3},{6}}=>{{1},{2,6,7},{3,4,8},{5}}=>[3,3,1,1] {{1,3,5,8},{2,7},{4},{6}}=>{{1,4,6,8},{2,7},{3},{5}}=>{{1},{2,6,7},{3,8},{4,5}}=>[3,2,2,1] {{1,2,5,8},{3,7},{4},{6}}=>{{1,4,7,8},{2,6},{3},{5}}=>{{1},{2},{3,6,7},{4,5,8}}=>[3,3,1,1] {{1,3,4,8},{2,7},{5},{6}}=>{{1,5,6,8},{2,7},{3},{4}}=>{{1},{2,5,6,7},{3,8},{4}}=>[4,2,1,1] {{1,2,4,8},{3,7},{5},{6}}=>{{1,5,7,8},{2,6},{3},{4}}=>{{1},{2},{3,5,6,7},{4,8}}=>[4,2,1,1] {{1,4,6,8},{2,5},{3},{7}}=>{{1,3,5,8},{2},{4,7},{6}}=>{{1},{2,5},{3,4,6},{7,8}}=>[3,2,2,1] {{1,3,6,8},{2,5},{4},{7}}=>{{1,3,6,8},{2},{4,7},{5}}=>{{1},{2,4,5},{3,6},{7,8}}=>[3,2,2,1] {{1,3,6,8},{2,4},{5},{7}}=>{{1,3,6,8},{2},{4},{5,7}}=>{{1},{2,4},{3,5,6},{7,8}}=>[3,2,2,1] {{1,4,5,8},{2,6},{3},{7}}=>{{1,4,5,8},{2},{3,7},{6}}=>{{1},{2,6},{3,4,7,8},{5}}=>[4,2,1,1] {{1,3,5,8},{2,6},{4},{7}}=>{{1,4,6,8},{2},{3,7},{5}}=>{{1},{2,6},{3,7,8},{4,5}}=>[3,2,2,1] {{1,2,5,8},{3,6},{4},{7}}=>{{1,4,7,8},{2},{3,6},{5}}=>{{1},{2},{3,6},{4,5,7,8}}=>[4,2,1,1] {{1,3,4,8},{2,6},{5},{7}}=>{{1,5,6,8},{2},{3,7},{4}}=>{{1},{2,5,6},{3,7,8},{4}}=>[3,3,1,1] {{1,2,4,8},{3,6},{5},{7}}=>{{1,5,7,8},{2},{3,6},{4}}=>{{1},{2},{3,5,6},{4,7,8}}=>[3,3,1,1] {{1,3,5,8},{2,4},{6},{7}}=>{{1,4,6,8},{2},{3},{5,7}}=>{{1},{2,4},{3,5},{6,7,8}}=>[3,2,2,1] {{1,3,4,8},{2,5},{6},{7}}=>{{1,5,6,8},{2},{3},{4,7}}=>{{1},{2,5},{3,6,7,8},{4}}=>[4,2,1,1] {{1,2,4,8},{3,5},{6},{7}}=>{{1,5,7,8},{2},{3},{4,6}}=>{{1},{2},{3,5},{4,6,7,8}}=>[4,2,1,1] {{1,5,6,7},{2,8},{3},{4}}=>{{1,7},{2,3,4,8},{5},{6}}=>{{1,3,4,5},{2,8},{6},{7}}=>[4,2,1,1] {{1,4,6,7},{2,8},{3},{5}}=>{{1,7},{2,3,5,8},{4},{6}}=>{{1,3,4},{2,8},{5,6},{7}}=>[3,2,2,1] {{1,3,6,7},{2,8},{4},{5}}=>{{1,7},{2,3,6,8},{4},{5}}=>{{1,3},{2,8},{4,5,6},{7}}=>[3,2,2,1] {{1,2,6,7},{3,8},{4},{5}}=>{{1,6},{2,3,7,8},{4},{5}}=>{{1,4,5,6},{2},{3,8},{7}}=>[4,2,1,1] {{1,4,5,7},{2,8},{3},{6}}=>{{1,7},{2,4,5,8},{3},{6}}=>{{1,3,4},{2,8},{5},{6,7}}=>[3,2,2,1] {{1,3,5,7},{2,8},{4},{6}}=>{{1,7},{2,4,6,8},{3},{5}}=>{{1,3},{2,8},{4,5},{6,7}}=>[2,2,2,2] {{1,2,5,7},{3,8},{4},{6}}=>{{1,6},{2,4,7,8},{3},{5}}=>{{1,4,5},{2},{3,8},{6,7}}=>[3,2,2,1] {{1,3,4,7},{2,8},{5},{6}}=>{{1,7},{2,5,6,8},{3},{4}}=>{{1,3},{2,8},{4},{5,6,7}}=>[3,2,2,1] {{1,2,4,7},{3,8},{5},{6}}=>{{1,6},{2,5,7,8},{3},{4}}=>{{1,4},{2},{3,8},{5,6,7}}=>[3,2,2,1] {{1,2,3,7},{4,8},{5},{6}}=>{{1,5},{2,6,7,8},{3},{4}}=>{{1,5,6,7},{2},{3},{4,8}}=>[4,2,1,1] {{1,4,5,6},{2,8},{3},{7}}=>{{1,7},{2},{3,4,5,8},{6}}=>{{1,3,4},{2,7,8},{5},{6}}=>[3,3,1,1] {{1,3,5,6},{2,8},{4},{7}}=>{{1,7},{2},{3,4,6,8},{5}}=>{{1,3},{2,7,8},{4,5},{6}}=>[3,2,2,1] {{1,3,4,6},{2,8},{5},{7}}=>{{1,7},{2},{3,5,6,8},{4}}=>{{1,3},{2,7,8},{4},{5,6}}=>[3,2,2,1] {{1,2,4,6},{3,8},{5},{7}}=>{{1,6},{2},{3,5,7,8},{4}}=>{{1,4},{2},{3,7,8},{5,6}}=>[3,2,2,1] {{1,2,3,6},{4,8},{5},{7}}=>{{1,5},{2},{3,6,7,8},{4}}=>{{1,5,6},{2},{3},{4,7,8}}=>[3,3,1,1] {{1,2,4,5},{3,8},{6},{7}}=>{{1,6},{2},{3},{4,5,7,8}}=>{{1,4},{2},{3,6,7,8},{5}}=>[4,2,1,1] {{1,2,3,5},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,6,7,8}}=>{{1,5},{2},{3},{4,6,7,8}}=>[4,2,1,1] {{1,4,6,7},{2,5},{3},{8}}=>{{1},{2,3,5,8},{4,7},{6}}=>{{1,8},{2,5},{3,4,6},{7}}=>[3,2,2,1] {{1,3,6,7},{2,5},{4},{8}}=>{{1},{2,3,6,8},{4,7},{5}}=>{{1,8},{2,4,5},{3,6},{7}}=>[3,2,2,1] {{1,3,6,7},{2,4},{5},{8}}=>{{1},{2,3,6,8},{4},{5,7}}=>{{1,8},{2,4},{3,5,6},{7}}=>[3,2,2,1] {{1,4,5,7},{2,6},{3},{8}}=>{{1},{2,4,5,8},{3,7},{6}}=>{{1,8},{2,6},{3,4,7},{5}}=>[3,2,2,1] {{1,3,5,7},{2,6},{4},{8}}=>{{1},{2,4,6,8},{3,7},{5}}=>{{1,8},{2,6},{3,7},{4,5}}=>[2,2,2,2] {{1,2,5,7},{3,6},{4},{8}}=>{{1},{2,4,7,8},{3,6},{5}}=>{{1,8},{2},{3,6},{4,5,7}}=>[3,2,2,1] {{1,3,4,7},{2,6},{5},{8}}=>{{1},{2,5,6,8},{3,7},{4}}=>{{1,8},{2,5,6},{3,7},{4}}=>[3,2,2,1] {{1,2,4,7},{3,6},{5},{8}}=>{{1},{2,5,7,8},{3,6},{4}}=>{{1,8},{2},{3,5,6},{4,7}}=>[3,2,2,1] {{1,3,5,7},{2,4},{6},{8}}=>{{1},{2,4,6,8},{3},{5,7}}=>{{1,8},{2,4},{3,5},{6,7}}=>[2,2,2,2] {{1,3,4,7},{2,5},{6},{8}}=>{{1},{2,5,6,8},{3},{4,7}}=>{{1,8},{2,5},{3,6,7},{4}}=>[3,2,2,1] {{1,2,4,7},{3,5},{6},{8}}=>{{1},{2,5,7,8},{3},{4,6}}=>{{1,8},{2},{3,5},{4,6,7}}=>[3,2,2,1] {{1,4,5,6},{2,7},{3},{8}}=>{{1},{2,7},{3,4,5,8},{6}}=>{{1,3,4,8},{2,7},{5},{6}}=>[4,2,1,1] {{1,3,5,6},{2,7},{4},{8}}=>{{1},{2,7},{3,4,6,8},{5}}=>{{1,3,8},{2,7},{4,5},{6}}=>[3,2,2,1] {{1,2,5,6},{3,7},{4},{8}}=>{{1},{2,6},{3,4,7,8},{5}}=>{{1,4,5,8},{2},{3,7},{6}}=>[4,2,1,1] {{1,3,4,6},{2,7},{5},{8}}=>{{1},{2,7},{3,5,6,8},{4}}=>{{1,3,8},{2,7},{4},{5,6}}=>[3,2,2,1] {{1,2,4,6},{3,7},{5},{8}}=>{{1},{2,6},{3,5,7,8},{4}}=>{{1,4,8},{2},{3,7},{5,6}}=>[3,2,2,1] {{1,2,3,6},{4,7},{5},{8}}=>{{1},{2,5},{3,6,7,8},{4}}=>{{1,5,6,8},{2},{3},{4,7}}=>[4,2,1,1] {{1,3,4,5},{2,7},{6},{8}}=>{{1},{2,7},{3},{4,5,6,8}}=>{{1,3,8},{2,6,7},{4},{5}}=>[3,3,1,1] {{1,2,4,5},{3,7},{6},{8}}=>{{1},{2,6},{3},{4,5,7,8}}=>{{1,4,8},{2},{3,6,7},{5}}=>[3,3,1,1] {{1,2,3,5},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,6,7,8}}=>{{1,5,8},{2},{3},{4,6,7}}=>[3,3,1,1] {{1,3,5,6},{2,4},{7},{8}}=>{{1},{2},{3,4,6,8},{5,7}}=>{{1,7,8},{2,4},{3,5},{6}}=>[3,2,2,1] {{1,3,4,6},{2,5},{7},{8}}=>{{1},{2},{3,5,6,8},{4,7}}=>{{1,7,8},{2,5},{3,6},{4}}=>[3,2,2,1] {{1,2,4,6},{3,5},{7},{8}}=>{{1},{2},{3,5,7,8},{4,6}}=>{{1,7,8},{2},{3,5},{4,6}}=>[3,2,2,1] {{1,3,4,5},{2,6},{7},{8}}=>{{1},{2},{3,7},{4,5,6,8}}=>{{1,3,7,8},{2,6},{4},{5}}=>[4,2,1,1] {{1,2,4,5},{3,6},{7},{8}}=>{{1},{2},{3,6},{4,5,7,8}}=>{{1,4,7,8},{2},{3,6},{5}}=>[4,2,1,1] {{1,2,3,5},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,6,7,8}}=>{{1,5,7,8},{2},{3},{4,6}}=>[4,2,1,1] {{1,4,5},{2,6,8},{3,7}}=>{{1,3,7},{2,6},{4,5,8}}=>{{1,4},{2,6,8},{3,7},{5}}=>[3,2,2,1] {{1,3,4},{2,6,8},{5,7}}=>{{1,3,7},{2,4},{5,6,8}}=>{{1,3},{2,6,8},{4},{5,7}}=>[3,2,2,1] {{1,3,4},{2,5,8},{6,7}}=>{{1,4,7},{2,3},{5,6,8}}=>{{1,3},{2,5},{4},{6,8},{7}}=>[2,2,2,1,1] {{1,2,4},{3,5,8},{6,7}}=>{{1,4,6},{2,3},{5,7,8}}=>{{1,4},{2},{3,5},{6,8},{7}}=>[2,2,2,1,1] {{1,3,5},{2,6,7},{4,8}}=>{{1,5},{2,3,7},{4,6,8}}=>{{1,3,5},{2,6},{4,8},{7}}=>[3,2,2,1] {{1,2,5},{3,4,6},{7,8}}=>{{1,2},{3,5,6},{4,7,8}}=>{{1,5,7},{2},{3,6},{4},{8}}=>[3,2,1,1,1] {{1,5,7},{2,6,8},{3},{4}}=>{{1,3,7},{2,4,8},{5},{6}}=>{{1,3,4,5,7},{2,6,8}}=>[5,3] {{1,4,7},{2,6,8},{3},{5}}=>{{1,3,7},{2,5,8},{4},{6}}=>{{1,3,4,7},{2,5,6,8}}=>[4,4] {{1,2,7},{3,6,8},{4},{5}}=>{{1,3,6},{2,7,8},{4},{5}}=>{{1,7},{2},{3,8},{4,5,6}}=>[3,2,2,1] {{1,3,7},{2,5,8},{4},{6}}=>{{1,4,7},{2,6,8},{3},{5}}=>{{1,3,6,7},{2,4,5,8}}=>[4,4] {{1,2,7},{3,5,8},{4},{6}}=>{{1,4,6},{2,7,8},{3},{5}}=>{{1,6,7},{2},{3,8},{4,5}}=>[3,2,2,1] {{1,2,7},{3,4,8},{5},{6}}=>{{1,5,6},{2,7,8},{3},{4}}=>{{1,5,6,7},{2},{3,8},{4}}=>[4,2,1,1] {{1,5,6},{2,7,8},{3},{4}}=>{{1,2,7},{3,4,8},{5},{6}}=>{{1,3,4,5},{2,7},{6},{8}}=>[4,2,1,1] {{1,4,6},{2,7,8},{3},{5}}=>{{1,2,7},{3,5,8},{4},{6}}=>{{1,3,4},{2,7},{5,6},{8}}=>[3,2,2,1] {{1,3,6},{2,7,8},{4},{5}}=>{{1,2,7},{3,6,8},{4},{5}}=>{{1,3},{2,7},{4,5,6},{8}}=>[3,2,2,1] {{1,4,5},{2,7,8},{3},{6}}=>{{1,2,7},{3},{4,5,8},{6}}=>{{1,3,4},{2,6,7},{5},{8}}=>[3,3,1,1] {{1,2,5},{3,7,8},{4},{6}}=>{{1,2,6},{3},{4,7,8},{5}}=>{{1,4,5},{2},{3,6,7},{8}}=>[3,3,1,1] {{1,3,4},{2,7,8},{5},{6}}=>{{1,2,7},{3},{4},{5,6,8}}=>{{1,3},{2,5,6,7},{4},{8}}=>[4,2,1,1] {{1,2,4},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,7,8}}=>{{1,4},{2},{3,5,6,7},{8}}=>[4,2,1,1] {{1,2,6},{3,5,8},{4},{7}}=>{{1,4,6},{2},{3,7,8},{5}}=>{{1,6},{2},{3,7,8},{4,5}}=>[3,2,2,1] {{1,3,6},{2,4,8},{5},{7}}=>{{1,5,7},{2},{3,6,8},{4}}=>{{1,3,5,6},{2,4,7,8}}=>[4,4] {{1,2,6},{3,4,8},{5},{7}}=>{{1,5,6},{2},{3,7,8},{4}}=>{{1,5,6},{2},{3,7,8},{4}}=>[3,3,1,1] {{1,4,5},{2,6,8},{3},{7}}=>{{1,3,7},{2},{4,5,8},{6}}=>{{1,3,4},{2,6},{5},{7,8}}=>[3,2,2,1] {{1,3,5},{2,6,8},{4},{7}}=>{{1,3,7},{2},{4,6,8},{5}}=>{{1,3},{2,6},{4,5},{7,8}}=>[2,2,2,2] {{1,2,5},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,7,8},{5}}=>{{1,4,5},{2},{3,6},{7,8}}=>[3,2,2,1] {{1,3,4},{2,6,8},{5},{7}}=>{{1,3,7},{2},{4},{5,6,8}}=>{{1,3},{2,5,6},{4},{7,8}}=>[3,2,2,1] {{1,2,4},{3,6,8},{5},{7}}=>{{1,3,6},{2},{4},{5,7,8}}=>{{1,4},{2},{3,5,6},{7,8}}=>[3,2,2,1] {{1,2,5},{3,4,8},{6},{7}}=>{{1,5,6},{2},{3},{4,7,8}}=>{{1,5},{2},{3,6,7,8},{4}}=>[4,2,1,1] {{1,3,4},{2,5,8},{6},{7}}=>{{1,4,7},{2},{3},{5,6,8}}=>{{1,3},{2,5},{4},{6,7,8}}=>[3,2,2,1] {{1,2,4},{3,5,8},{6},{7}}=>{{1,4,6},{2},{3},{5,7,8}}=>{{1,4},{2},{3,5},{6,7,8}}=>[3,2,2,1] {{1,4,6},{2,5,7},{3},{8}}=>{{1},{2,4,7},{3,5,8},{6}}=>{{1,3,4,6,8},{2,5,7}}=>[5,3] {{1,3,6},{2,5,7},{4},{8}}=>{{1},{2,4,7},{3,6,8},{5}}=>{{1,3,6,8},{2,4,5,7}}=>[4,4] {{1,2,6},{3,5,7},{4},{8}}=>{{1},{2,4,6},{3,7,8},{5}}=>{{1,6,8},{2},{3,7},{4,5}}=>[3,2,2,1] {{1,4,5},{2,6,7},{3},{8}}=>{{1},{2,3,7},{4,5,8},{6}}=>{{1,3,4,8},{2,6},{5},{7}}=>[4,2,1,1] {{1,3,5},{2,6,7},{4},{8}}=>{{1},{2,3,7},{4,6,8},{5}}=>{{1,3,8},{2,6},{4,5},{7}}=>[3,2,2,1] {{1,2,5},{3,6,7},{4},{8}}=>{{1},{2,3,6},{4,7,8},{5}}=>{{1,4,5,8},{2},{3,6},{7}}=>[4,2,1,1] {{1,3,4},{2,6,7},{5},{8}}=>{{1},{2,3,7},{4},{5,6,8}}=>{{1,3,8},{2,5,6},{4},{7}}=>[3,3,1,1] {{1,2,4},{3,6,7},{5},{8}}=>{{1},{2,3,6},{4},{5,7,8}}=>{{1,4,8},{2},{3,5,6},{7}}=>[3,3,1,1] {{1,2,5},{3,4,7},{6},{8}}=>{{1},{2,5,6},{3},{4,7,8}}=>{{1,5,8},{2},{3,6,7},{4}}=>[3,3,1,1] {{1,3,4},{2,5,7},{6},{8}}=>{{1},{2,4,7},{3},{5,6,8}}=>{{1,3,8},{2,5},{4},{6,7}}=>[3,2,2,1] {{1,2,4},{3,5,7},{6},{8}}=>{{1},{2,4,6},{3},{5,7,8}}=>{{1,4,8},{2},{3,5},{6,7}}=>[3,2,2,1] {{1,3,5},{2,4,6},{7},{8}}=>{{1},{2},{3,5,7},{4,6,8}}=>{{1,3,5,7,8},{2,4,6}}=>[5,3] {{1,2,5},{3,4,6},{7},{8}}=>{{1},{2},{3,5,6},{4,7,8}}=>{{1,5,7,8},{2},{3,6},{4}}=>[4,2,1,1] {{1,3,4},{2,5,6},{7},{8}}=>{{1},{2},{3,4,7},{5,6,8}}=>{{1,3,7,8},{2,5},{4},{6}}=>[4,2,1,1] {{1,2,4},{3,5,6},{7},{8}}=>{{1},{2},{3,4,6},{5,7,8}}=>{{1,4,7,8},{2},{3,5},{6}}=>[4,2,1,1] {{1,5,8},{2,6},{3,7},{4}}=>{{1,4,8},{2,6},{3,7},{5}}=>{{1},{2,6},{3,7},{4,5,8}}=>[3,2,2,1] {{1,4,8},{2,6},{3,7},{5}}=>{{1,5,8},{2,6},{3,7},{4}}=>{{1},{2,5,6},{3,7},{4,8}}=>[3,2,2,1] {{1,3,8},{2,6},{4,7},{5}}=>{{1,6,8},{2,5},{3,7},{4}}=>{{1},{2,5,6},{3,8},{4,7}}=>[3,2,2,1] {{1,2,8},{3,6},{4,7},{5}}=>{{1,7,8},{2,5},{3,6},{4}}=>{{1},{2},{3,5,6,8},{4,7}}=>[4,2,1,1] {{1,4,8},{2,5},{3,7},{6}}=>{{1,5,8},{2,6},{3},{4,7}}=>{{1},{2,5},{3,6,7},{4,8}}=>[3,2,2,1] {{1,3,8},{2,5},{4,7},{6}}=>{{1,6,8},{2,5},{3},{4,7}}=>{{1},{2,5},{3,8},{4,6,7}}=>[3,2,2,1] {{1,2,8},{3,5},{4,7},{6}}=>{{1,7,8},{2,5},{3},{4,6}}=>{{1},{2},{3,5,8},{4,6,7}}=>[3,3,1,1] {{1,3,8},{2,4},{5,7},{6}}=>{{1,6,8},{2,4},{3},{5,7}}=>{{1},{2,4},{3,5,8},{6,7}}=>[3,2,2,1] {{1,4,8},{2,5},{3,6},{7}}=>{{1,5,8},{2},{3,6},{4,7}}=>{{1},{2,5},{3,6},{4,7,8}}=>[3,2,2,1] {{1,3,8},{2,5},{4,6},{7}}=>{{1,6,8},{2},{3,5},{4,7}}=>{{1},{2,5},{3,7,8},{4,6}}=>[3,2,2,1] {{1,2,8},{3,5},{4,6},{7}}=>{{1,7,8},{2},{3,5},{4,6}}=>{{1},{2},{3,5,7,8},{4,6}}=>[4,2,1,1] {{1,5,7},{2,6},{3,8},{4}}=>{{1,6},{2,4,8},{3,7},{5}}=>{{1,4,5,7},{2,6},{3,8}}=>[4,2,2] {{1,2,7},{3,6},{4,8},{5}}=>{{1,5},{2,7,8},{3,6},{4}}=>{{1,7},{2},{3,5,6},{4,8}}=>[3,2,2,1] {{1,2,7},{3,5},{4,8},{6}}=>{{1,5},{2,7,8},{3},{4,6}}=>{{1,6,7},{2},{3,5},{4,8}}=>[3,2,2,1] {{1,2,7},{3,4},{5,8},{6}}=>{{1,4},{2,7,8},{3},{5,6}}=>{{1,6,7},{2},{3,5,8},{4}}=>[3,3,1,1] {{1,5,6},{2,7},{3,8},{4}}=>{{1,6},{2,7},{3,4,8},{5}}=>{{1,4,5},{2,7},{3,8},{6}}=>[3,2,2,1] {{1,4,6},{2,7},{3,8},{5}}=>{{1,6},{2,7},{3,5,8},{4}}=>{{1,4},{2,7},{3,8},{5,6}}=>[2,2,2,2] {{1,2,6},{3,7},{4,8},{5}}=>{{1,5},{2,6},{3,7,8},{4}}=>{{1,5,6},{2},{3,7},{4,8}}=>[3,2,2,1] {{1,4,5},{2,7},{3,8},{6}}=>{{1,6},{2,7},{3},{4,5,8}}=>{{1,4},{2,6,7},{3,8},{5}}=>[3,2,2,1] {{1,2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3},{4,7,8}}=>{{1,5},{2},{3,6,7},{4,8}}=>[3,2,2,1] {{1,3,4},{2,7},{5,8},{6}}=>{{1,4},{2,7},{3},{5,6,8}}=>{{1,3},{2,6,7},{4},{5,8}}=>[3,2,2,1] {{1,2,4},{3,7},{5,8},{6}}=>{{1,4},{2,6},{3},{5,7,8}}=>{{1,4},{2},{3,6,7},{5,8}}=>[3,2,2,1] {{1,2,3},{4,7},{5,8},{6}}=>{{1,4},{2,5},{3},{6,7,8}}=>{{1,4,6,7},{2},{3},{5,8}}=>[4,2,1,1] {{1,2,6},{3,5},{4,8},{7}}=>{{1,5},{2},{3,7,8},{4,6}}=>{{1,6},{2},{3,5},{4,7,8}}=>[3,2,2,1] {{1,3,6},{2,4},{5,8},{7}}=>{{1,4},{2},{3,6,8},{5,7}}=>{{1,3,6},{2,4},{5,7,8}}=>[3,3,2] {{1,2,6},{3,4},{5,8},{7}}=>{{1,4},{2},{3,7,8},{5,6}}=>{{1,6},{2},{3,5,7,8},{4}}=>[4,2,1,1] {{1,4,5},{2,6},{3,8},{7}}=>{{1,6},{2},{3,7},{4,5,8}}=>{{1,4},{2,6},{3,7,8},{5}}=>[3,2,2,1] {{1,3,5},{2,6},{4,8},{7}}=>{{1,5},{2},{3,7},{4,6,8}}=>{{1,3,5},{2,6},{4,7,8}}=>[3,3,2] {{1,2,5},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,7,8}}=>{{1,5},{2},{3,6},{4,7,8}}=>[3,2,2,1] {{1,3,4},{2,6},{5,8},{7}}=>{{1,4},{2},{3,7},{5,6,8}}=>{{1,3},{2,6},{4},{5,7,8}}=>[3,2,2,1] {{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7,8}}=>{{1,4},{2},{3,6},{5,7,8}}=>[3,2,2,1] {{1,2,3},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6,7,8}}=>{{1,4,6},{2},{3},{5,7,8}}=>[3,3,1,1] {{1,3,5},{2,4},{6,8},{7}}=>{{1,3},{2},{4,6,8},{5,7}}=>{{1,6},{2,4},{3,5},{7,8}}=>[2,2,2,2] {{1,3,4},{2,5},{6,8},{7}}=>{{1,3},{2},{4,7},{5,6,8}}=>{{1,3,6},{2,5},{4},{7,8}}=>[3,2,2,1] {{1,2,4},{3,5},{6,8},{7}}=>{{1,3},{2},{4,6},{5,7,8}}=>{{1,4,6},{2},{3,5},{7,8}}=>[3,2,2,1] {{1,4,7},{2,5},{3,6},{8}}=>{{1},{2,5,8},{3,6},{4,7}}=>{{1,8},{2,5},{3,6},{4,7}}=>[2,2,2,2] {{1,3,7},{2,5},{4,6},{8}}=>{{1},{2,6,8},{3,5},{4,7}}=>{{1,8},{2,5},{3,7},{4,6}}=>[2,2,2,2] {{1,2,7},{3,5},{4,6},{8}}=>{{1},{2,7,8},{3,5},{4,6}}=>{{1,8},{2},{3,5,7},{4,6}}=>[3,2,2,1] {{1,3,7},{2,4},{5,6},{8}}=>{{1},{2,6,8},{3,4},{5,7}}=>{{1,8},{2,4},{3,5,7},{6}}=>[3,2,2,1] {{1,2,6},{3,5},{4,7},{8}}=>{{1},{2,5},{3,7,8},{4,6}}=>{{1,6,8},{2},{3,5},{4,7}}=>[3,2,2,1] {{1,3,6},{2,4},{5,7},{8}}=>{{1},{2,4},{3,6,8},{5,7}}=>{{1,3,6,8},{2,4},{5,7}}=>[4,2,2] {{1,2,6},{3,4},{5,7},{8}}=>{{1},{2,4},{3,7,8},{5,6}}=>{{1,6,8},{2},{3,5,7},{4}}=>[3,3,1,1] {{1,4,5},{2,6},{3,7},{8}}=>{{1},{2,6},{3,7},{4,5,8}}=>{{1,4,8},{2,6},{3,7},{5}}=>[3,2,2,1] {{1,3,5},{2,6},{4,7},{8}}=>{{1},{2,5},{3,7},{4,6,8}}=>{{1,3,5,8},{2,6},{4,7}}=>[4,2,2] {{1,2,5},{3,6},{4,7},{8}}=>{{1},{2,5},{3,6},{4,7,8}}=>{{1,5,8},{2},{3,6},{4,7}}=>[3,2,2,1] {{1,3,4},{2,6},{5,7},{8}}=>{{1},{2,4},{3,7},{5,6,8}}=>{{1,3,8},{2,6},{4},{5,7}}=>[3,2,2,1] {{1,2,4},{3,6},{5,7},{8}}=>{{1},{2,4},{3,6},{5,7,8}}=>{{1,4,8},{2},{3,6},{5,7}}=>[3,2,2,1] {{1,2,3},{4,6},{5,7},{8}}=>{{1},{2,4},{3,5},{6,7,8}}=>{{1,4,6,8},{2},{3},{5,7}}=>[4,2,1,1] {{1,3,5},{2,4},{6,7},{8}}=>{{1},{2,3},{4,6,8},{5,7}}=>{{1,6,8},{2,4},{3,5},{7}}=>[3,2,2,1] {{1,3,4},{2,5},{6,7},{8}}=>{{1},{2,3},{4,7},{5,6,8}}=>{{1,3,6,8},{2,5},{4},{7}}=>[4,2,1,1] {{1,2,4},{3,5},{6,7},{8}}=>{{1},{2,3},{4,6},{5,7,8}}=>{{1,4,6,8},{2},{3,5},{7}}=>[4,2,1,1] {{1,2,4},{3,5},{6},{7},{8}}=>{{1},{2},{3},{4,6},{5,7,8}}=>{{1,4,6,7,8},{2},{3,5}}=>[5,2,1] {{1,4},{2,5},{3},{6},{7},{8}}=>{{1},{2},{3},{4,7},{5,8},{6}}=>{{1,3,4,6,7,8},{2,5}}=>[6,2] {{1,3},{2,4},{5},{6},{7},{8}}=>{{1},{2},{3},{4},{5,7},{6,8}}=>{{1,3,5,6,7,8},{2,4}}=>[6,2] {{1,3,5,8},{2},{4,6},{7}}=>{{1,4,6,8},{2},{3,5},{7}}=>{{1},{2,3},{4,6},{5,7,8}}=>[3,2,2,1] {{1,3,5,7},{2},{4},{6,8}}=>{{1,3},{2,4,6,8},{5},{7}}=>{{1,7},{2,3},{4,5},{6,8}}=>[2,2,2,2] {{1,5,7},{2,4},{3},{6,8}}=>{{1,3},{2,4,8},{5,7},{6}}=>{{1,7},{2,5},{3,4},{6,8}}=>[2,2,2,2] {{1,5},{2,4,8},{3},{6,7}}=>{{1,5,7},{2,3},{4,8},{6}}=>{{1,5},{2,6,8},{3,4},{7}}=>[3,2,2,1] {{1,5,8},{2,4},{3,6},{7}}=>{{1,4,8},{2},{3,6},{5,7}}=>{{1},{2,4},{3,6},{5,7,8}}=>[3,2,2,1] {{1,6,8},{2,4},{3,5},{7}}=>{{1,3,8},{2},{4,6},{5,7}}=>{{1},{2,4,6},{3,5},{7,8}}=>[3,2,2,1] {{1},{2,3,5,8},{4,6},{7}}=>{{1,4,6,7},{2},{3,5},{8}}=>{{1,2},{3},{4,6},{5,7,8}}=>[3,2,2,1] {{1,5,8},{2,6},{3,4},{7}}=>{{1,4,8},{2},{3,7},{5,6}}=>{{1},{2,6},{3,5,7,8},{4}}=>[4,2,1,1] {{1,4,8},{2,6},{3,5},{7}}=>{{1,5,8},{2},{3,7},{4,6}}=>{{1},{2,6},{3,5},{4,7,8}}=>[3,2,2,1] {{1,4},{2,5,8},{3},{6,7}}=>{{1,4,7},{2,3},{5,8},{6}}=>{{1,3,4},{2,5},{6,8},{7}}=>[3,2,2,1] {{1,4},{2},{3,6,7},{5,8}}=>{{1,4},{2,3,6},{5,8},{7}}=>{{1,4},{2,3,6},{5,8},{7}}=>[3,2,2,1] {{1,4},{2},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,8},{7}}=>{{1,4},{2,3,6},{5,7},{8}}=>[3,2,2,1] {{1,4},{2},{3,7},{5,6,8}}=>{{1,3,4},{2,6},{5,8},{7}}=>{{1,4},{2,3,7},{5,8},{6}}=>[3,2,2,1] {{1,4},{2},{3,5,8},{6,7}}=>{{1,4,6},{2,3},{5,8},{7}}=>{{1,4},{2,3,5},{6,8},{7}}=>[3,2,2,1] {{1,5},{2},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,8},{7}}=>{{1,5},{2,3,6,8},{4},{7}}=>[4,2,1,1] {{1,2,5},{3},{4,7,8},{6}}=>{{1,2,5},{3},{4,7,8},{6}}=>{{1,5},{2},{3,4,6,7},{8}}=>[4,2,1,1] {{1,2,5,7},{3},{4,8},{6}}=>{{1,5},{2,4,7,8},{3},{6}}=>{{1,5},{2},{3,4,8},{6,7}}=>[3,2,2,1] {{1,5,7},{2},{3,4},{6,8}}=>{{1,3},{2,4,8},{5,6},{7}}=>{{1,7},{2,3,5},{4},{6,8}}=>[3,2,2,1] {{1,4},{2},{3,8},{5,6,7}}=>{{1,6},{2,3,4},{5,8},{7}}=>{{1,4},{2,3,5,8},{6},{7}}=>[4,2,1,1] {{1,4,6},{2},{3,8},{5,7}}=>{{1,6},{2,4},{3,5,8},{7}}=>{{1,4,6},{2,3,8},{5,7}}=>[3,3,2] {{1},{2,6},{3,4,7},{5,8}}=>{{1,4},{2,5,6},{3,7},{8}}=>{{1,2,6},{3,7},{4},{5,8}}=>[3,2,2,1] {{1,6},{2,3,7},{4},{5,8}}=>{{1,4},{2,6,7},{3,8},{5}}=>{{1,6},{2,7},{3},{4,5,8}}=>[3,2,2,1] {{1,2},{3,6,7},{4,8},{5}}=>{{1,5},{2,3,6},{4},{7,8}}=>{{1,3,5,6},{2},{4,8},{7}}=>[4,2,1,1] {{1,6},{2,3},{4},{5,7,8}}=>{{1,2,4},{3,8},{5},{6,7}}=>{{1,6},{2,4,5,7},{3},{8}}=>[4,2,1,1] {{1},{2,6},{3,4},{5,7,8}}=>{{1,2,4},{3,7},{5,6},{8}}=>{{1,2,6},{3,5,7},{4},{8}}=>[3,3,1,1] {{1},{2,7},{3,4},{5,6,8}}=>{{1,3,4},{2,7},{5,6},{8}}=>{{1,2,7},{3,5,8},{4},{6}}=>[3,3,1,1] {{1,7},{2,3},{4},{5,6,8}}=>{{1,3,4},{2,8},{5},{6,7}}=>{{1,7},{2,4,5,8},{3},{6}}=>[4,2,1,1] {{1,2},{3,7},{4,6,8},{5}}=>{{1,3,5},{2,6},{4},{7,8}}=>{{1,3,7},{2},{4,8},{5,6}}=>[3,2,2,1] {{1,2},{3,5,8},{4,7},{6}}=>{{1,4,6},{2,5},{3},{7,8}}=>{{1,3},{2},{4,6,7},{5,8}}=>[3,2,2,1] {{1,7},{2,3,8},{4,5},{6}}=>{{1,6,7},{2,8},{3},{4,5}}=>{{1,4,6,7},{2,8},{3},{5}}=>[4,2,1,1] {{1},{2,5},{3,4,8},{6,7}}=>{{1,5,6},{2,3},{4,7},{8}}=>{{1,2,5},{3,6,8},{4},{7}}=>[3,3,1,1] {{1},{2,4},{3,7},{5,6,8}}=>{{1,3,4},{2,6},{5,7},{8}}=>{{1,2,4},{3,7},{5,8},{6}}=>[3,2,2,1] {{1},{2,4},{3,6},{5,7,8}}=>{{1,2,4},{3,6},{5,7},{8}}=>{{1,2,4},{3,6},{5,7},{8}}=>[3,2,2,1] {{1},{2,4},{3,6,7},{5,8}}=>{{1,4},{2,3,6},{5,7},{8}}=>{{1,2,4},{3,6},{5,8},{7}}=>[3,2,2,1] {{1,3},{2,6,7},{4},{5,8}}=>{{1,4},{2,3,7},{5},{6,8}}=>{{1,3},{2,6},{4,5,8},{7}}=>[3,2,2,1] {{1,3},{2,7},{4},{5,6,8}}=>{{1,3,4},{2,7},{5},{6,8}}=>{{1,3},{2,7},{4,5,8},{6}}=>[3,2,2,1] {{1,3,8},{2,4,7},{5},{6}}=>{{1,6,8},{2,5,7},{3},{4}}=>{{1},{2,4},{3,8},{5,6,7}}=>[3,2,2,1] {{1,4,8},{2,3,7},{5},{6}}=>{{1,5,8},{2,6,7},{3},{4}}=>{{1},{2,5,6,7},{3},{4,8}}=>[4,2,1,1] {{1,4,7},{2,3,8},{5},{6}}=>{{1,6,7},{2,5,8},{3},{4}}=>{{1,4},{2,8},{3},{5,6,7}}=>[3,2,2,1] {{1,3,7},{2,8},{4,5},{6}}=>{{1,7},{2,6,8},{3},{4,5}}=>{{1,3},{2,8},{4,6,7},{5}}=>[3,2,2,1] {{1,3,6},{2,7},{4},{5,8}}=>{{1,4},{2,7},{3,6,8},{5}}=>{{1,3,6},{2,7},{4,5,8}}=>[3,3,2] {{1},{2,4},{3,8},{5,6,7}}=>{{1,6},{2,3,4},{5,7},{8}}=>{{1,2,4},{3,5,8},{6},{7}}=>[3,3,1,1] {{1},{2,5,7},{3,4},{6,8}}=>{{1,3},{2,4,7},{5,6},{8}}=>{{1,2,7},{3,5},{4},{6,8}}=>[3,2,2,1] {{1},{2,8},{3,4,6},{5,7}}=>{{1,7},{2,4},{3,5,6},{8}}=>{{1,2},{3,6,8},{4},{5,7}}=>[3,2,2,1] {{1,8},{2,3,6},{4},{5,7}}=>{{1,8},{2,4},{3,6,7},{5}}=>{{1},{2,6,8},{3},{4,5,7}}=>[3,3,1,1] {{1,2,6},{3,8},{4,7},{5}}=>{{1,6},{2,5},{3,7,8},{4}}=>{{1,5,6},{2},{3,8},{4,7}}=>[3,2,2,1] {{1,7},{2,3,6},{4},{5,8}}=>{{1,4},{2,8},{3,6,7},{5}}=>{{1,7},{2,6},{3},{4,5,8}}=>[3,2,2,1] {{1},{2,7},{3,4,6},{5,8}}=>{{1,4},{2,7},{3,5,6},{8}}=>{{1,2,7},{3,6},{4},{5,8}}=>[3,2,2,1] {{1,2},{3,6,8},{4,7},{5}}=>{{1,3,6},{2,5},{4},{7,8}}=>{{1,3},{2},{4,7},{5,6,8}}=>[3,2,2,1] {{1,2},{3,5,7},{4,8},{6}}=>{{1,5},{2,4,6},{3},{7,8}}=>{{1,3,5},{2},{4,8},{6,7}}=>[3,2,2,1] {{1,2},{3,7},{4,5,8},{6}}=>{{1,4,5},{2,6},{3},{7,8}}=>{{1,3,6,7},{2},{4,8},{5}}=>[4,2,1,1] {{1,4,8},{2,7},{3},{5,6}}=>{{1,5,8},{2,7},{3,4},{6}}=>{{1},{2,5,7},{3,4,8},{6}}=>[3,3,1,1] {{1,3,7},{2,8},{4},{5,6}}=>{{1,7},{2,6,8},{3,4},{5}}=>{{1,3},{2,8},{4,5,7},{6}}=>[3,2,2,1] {{1,3,7},{2,8},{4,6},{5}}=>{{1,7},{2,6,8},{3,5},{4}}=>{{1,3},{2,8},{4,7},{5,6}}=>[2,2,2,2] {{1,3,7},{2},{4,5,8},{6}}=>{{1,4,5},{2,6,8},{3},{7}}=>{{1,6,7},{2,3},{4,8},{5}}=>[3,2,2,1] {{1,7},{2,3},{4,5,8},{6}}=>{{1,4,5},{2,8},{3},{6,7}}=>{{1,6,7},{2,4,8},{3},{5}}=>[3,3,1,1] {{1,7},{2,3,8},{4,6},{5}}=>{{1,6,7},{2,8},{3,5},{4}}=>{{1,4,7},{2,8},{3},{5,6}}=>[3,2,2,1] {{1,7},{2,3,8},{4},{5,6}}=>{{1,6,7},{2,8},{3,4},{5}}=>{{1,4,5,7},{2,8},{3},{6}}=>[4,2,1,1] {{1,7,8},{2,5},{3,6},{4}}=>{{1,2,8},{3,6},{4,7},{5}}=>{{1},{2,4,5,7},{3,6},{8}}=>[4,2,1,1] {{1,7},{2,4,6,8},{3},{5}}=>{{1,3,5,7},{2,8},{4},{6}}=>{{1,7},{2,8},{3,4},{5,6}}=>[2,2,2,2] {{1,7},{2,4,5},{3,8},{6}}=>{{1,6},{2,8},{3},{4,5,7}}=>{{1,6,7},{2,4},{3,8},{5}}=>[3,2,2,1] {{1,4,6},{2,5},{3},{7,8}}=>{{1,2},{3,5,8},{4,7},{6}}=>{{1,7},{2,5},{3,4,6},{8}}=>[3,2,2,1] {{1,5,7,8},{2},{3,6},{4}}=>{{1,2,4,8},{3,6},{5},{7}}=>{{1},{2,3,6},{4,5,7},{8}}=>[3,3,1,1] {{1,5,8},{2,7},{3,6},{4}}=>{{1,4,8},{2,7},{3,6},{5}}=>{{1},{2,7},{3,6},{4,5,8}}=>[3,2,2,1] {{1,8},{2,5,7},{3,6},{4}}=>{{1,8},{2,4,7},{3,6},{5}}=>{{1},{2,8},{3,6},{4,5,7}}=>[3,2,2,1] {{1,5,8},{2,6,7},{3},{4}}=>{{1,4,8},{2,3,7},{5},{6}}=>{{1},{2,6},{3,4,5,8},{7}}=>[4,2,1,1] {{1,4,5,7},{2},{3,8},{6}}=>{{1,6},{2,4,5,8},{3},{7}}=>{{1,4},{2,3,8},{5},{6,7}}=>[3,2,2,1] {{1,3,5},{2,6},{4},{7,8}}=>{{1,2},{3,7},{4,6,8},{5}}=>{{1,3,7},{2,6},{4,5},{8}}=>[3,2,2,1] {{1,4,6,8},{2},{3,7},{5}}=>{{1,3,5,8},{2,6},{4},{7}}=>{{1},{2,3,7},{4,8},{5,6}}=>[3,2,2,1] {{1,8},{2,4,6},{3,7},{5}}=>{{1,8},{2,6},{3,5,7},{4}}=>{{1},{2,4,8},{3,7},{5,6}}=>[3,2,2,1] {{1,4,8},{2,5},{3},{6,7}}=>{{1,5,8},{2,3},{4,7},{6}}=>{{1},{2,5},{3,4,6,8},{7}}=>[4,2,1,1] {{1,3,5},{2,8},{4},{6,7}}=>{{1,7},{2,3},{4,6,8},{5}}=>{{1,3},{2,6,8},{4,5},{7}}=>[3,2,2,1] {{1,5},{2,3,8},{4},{6,7}}=>{{1,6,7},{2,3},{4,8},{5}}=>{{1,4,5},{2,6,8},{3},{7}}=>[3,3,1,1] {{1,8},{2,6},{3,4,7},{5}}=>{{1,8},{2,5,6},{3,7},{4}}=>{{1},{2,5,6,8},{3,7},{4}}=>[4,2,1,1] {{1,6,8},{2},{3,4,7},{5}}=>{{1,3,8},{2,5,6},{4},{7}}=>{{1},{2,3,7},{4},{5,6,8}}=>[3,3,1,1] {{1,6,8},{2,4},{3,7},{5}}=>{{1,3,8},{2,6},{4},{5,7}}=>{{1},{2,4},{3,7},{5,6,8}}=>[3,2,2,1] {{1,6},{2,3,8},{4,7},{5}}=>{{1,6,7},{2,5},{3,8},{4}}=>{{1,5,6},{2,8},{3},{4,7}}=>[3,2,2,1] {{1,6},{2,3,7,8},{4},{5}}=>{{1,2,6,7},{3,8},{4},{5}}=>{{1,4,5,6},{2,7},{3},{8}}=>[4,2,1,1] {{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,6,7},{3},{4,8}}=>[3,2,2,1] {{1,5},{2,3,6},{4},{7,8}}=>{{1,2},{3,6,7},{4,8},{5}}=>{{1,4,5,7},{2,6},{3},{8}}=>[4,2,1,1] {{1,5,7},{2,4},{3,8},{6}}=>{{1,6},{2,4,8},{3},{5,7}}=>{{1,5},{2,4},{3,8},{6,7}}=>[2,2,2,2] {{1,6,7},{2,4,8},{3},{5}}=>{{1,5,7},{2,3,8},{4},{6}}=>{{1,5,6},{2,8},{3,4},{7}}=>[3,2,2,1] {{1,6,8},{2,5,7},{3},{4}}=>{{1,3,8},{2,4,7},{5},{6}}=>{{1},{2,7},{3,4,5},{6,8}}=>[3,2,2,1] {{1,6,8},{2,7},{3,5},{4}}=>{{1,3,8},{2,7},{4,6},{5}}=>{{1},{2,7},{3,6,8},{4,5}}=>[3,2,2,1] {{1,6,8},{2,7},{3},{4,5}}=>{{1,3,8},{2,7},{4,5},{6}}=>{{1},{2,7},{3,4,6,8},{5}}=>[4,2,1,1] {{1,6,7},{2,8},{3,4},{5}}=>{{1,7},{2,3,8},{4},{5,6}}=>{{1,3,5,6},{2,8},{4},{7}}=>[4,2,1,1] {{1,5,7},{2},{3,4,8},{6}}=>{{1,5,6},{2,4,8},{3},{7}}=>{{1,5},{2,3,8},{4},{6,7}}=>[3,2,2,1] {{1,7},{2,5},{3,4,8},{6}}=>{{1,5,6},{2,8},{3},{4,7}}=>{{1,6,7},{2,5},{3,8},{4}}=>[3,2,2,1] {{1,7},{2,6,8},{3,4},{5}}=>{{1,3,7},{2,8},{4},{5,6}}=>{{1,7},{2,8},{3,5,6},{4}}=>[3,2,2,1] {{1,4,8},{2,3,6},{5},{7}}=>{{1,5,8},{2},{3,6,7},{4}}=>{{1},{2,5,6},{3},{4,7,8}}=>[3,3,1,1] {{1,6},{2,5},{3,4,8},{7}}=>{{1,5,6},{2},{3,8},{4,7}}=>{{1,6},{2,5},{3,7,8},{4}}=>[3,2,2,1] {{1,6},{2,3,5},{4,8},{7}}=>{{1,5},{2},{3,8},{4,6,7}}=>{{1,6},{2,5},{3},{4,7,8}}=>[3,2,2,1] {{1,5},{2,3,6},{4,8},{7}}=>{{1,5},{2},{3,6,7},{4,8}}=>{{1,5},{2,6},{3},{4,7,8}}=>[3,2,2,1] {{1,5},{2,6},{3,4,8},{7}}=>{{1,5,6},{2},{3,7},{4,8}}=>{{1,5},{2,6},{3,7,8},{4}}=>[3,2,2,1] {{1,4,8},{2,7},{3,6},{5}}=>{{1,5,8},{2,7},{3,6},{4}}=>{{1},{2,7},{3,5,6},{4,8}}=>[3,2,2,1] {{1,4,6},{2,8},{3,7},{5}}=>{{1,7},{2,6},{3,5,8},{4}}=>{{1,4},{2,8},{3,7},{5,6}}=>[2,2,2,2] {{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5,6},{3},{4,8}}=>{{1,5},{2,8},{3,6,7},{4}}=>[3,2,2,1] {{1,5},{2,3,8},{4,7},{6}}=>{{1,6,7},{2,5},{3},{4,8}}=>{{1,5},{2,8},{3},{4,6,7}}=>[3,2,2,1] {{1,2,5},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3},{4,7,8}}=>{{1,5},{2},{3,8},{4,6,7}}=>[3,2,2,1] {{1,5},{2,7},{3,4,8},{6}}=>{{1,5,6},{2,7},{3},{4,8}}=>{{1,5},{2,6,7},{3,8},{4}}=>[3,2,2,1] {{1,4,8},{2,7},{3,5},{6}}=>{{1,5,8},{2,7},{3},{4,6}}=>{{1},{2,6,7},{3,5},{4,8}}=>[3,2,2,1] {{1,7},{2,6},{3,4,8},{5}}=>{{1,5,6},{2,8},{3,7},{4}}=>{{1,7},{2,5,6},{3,8},{4}}=>[3,2,2,1] {{1,7},{2,3,6},{4,8},{5}}=>{{1,5},{2,8},{3,6,7},{4}}=>{{1,7},{2,5,6},{3},{4,8}}=>[3,2,2,1] {{1,8},{2,3,6},{4,7},{5}}=>{{1,8},{2,5},{3,6,7},{4}}=>{{1},{2,5,6,8},{3},{4,7}}=>[4,2,1,1] {{1,8},{2,3,5},{4,7},{6}}=>{{1,8},{2,5},{3},{4,6,7}}=>{{1},{2,5,8},{3},{4,6,7}}=>[3,3,1,1] {{1,8},{2,5},{3,4,7},{6}}=>{{1,8},{2,5,6},{3},{4,7}}=>{{1},{2,5,8},{3,6,7},{4}}=>[3,3,1,1] {{1,8},{2,4,7},{3,5},{6}}=>{{1,8},{2,5,7},{3},{4,6}}=>{{1},{2,8},{3,5},{4,6,7}}=>[3,2,2,1] {{1,8},{2,4,7},{3,6},{5}}=>{{1,8},{2,5,7},{3,6},{4}}=>{{1},{2,8},{3,5,6},{4,7}}=>[3,2,2,1] {{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,5},{3},{4,6,8}}=>{{1,3,5},{2,8},{4,6,7}}=>[3,3,2] {{1,3,8},{2,7},{4,6},{5}}=>{{1,6,8},{2,7},{3,5},{4}}=>{{1},{2,4,7},{3,8},{5,6}}=>[3,2,2,1] {{1,7},{2,4,6},{3,8},{5}}=>{{1,6},{2,8},{3,5,7},{4}}=>{{1,7},{2,4},{3,8},{5,6}}=>[2,2,2,2] {{1,7},{2,3,5},{4,8},{6}}=>{{1,5},{2,8},{3},{4,6,7}}=>{{1,6,7},{2,5},{3},{4,8}}=>[3,2,2,1] {{1,2,7},{3,8},{4,6},{5}}=>{{1,6},{2,7,8},{3,5},{4}}=>{{1,4,7},{2},{3,8},{5,6}}=>[3,2,2,1] {{1,7},{2,8},{3,4,6},{5}}=>{{1,7},{2,8},{3,5,6},{4}}=>{{1,3,7},{2,8},{4},{5,6}}=>[3,2,2,1] {{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,5,6},{3,8},{4}}=>{{1,5,6},{2,8},{3,7},{4}}=>[3,2,2,1] {{1,6},{2,3,7},{4,8},{5}}=>{{1,5},{2,6,7},{3,8},{4}}=>{{1,5,6},{2,7},{3},{4,8}}=>[3,2,2,1] {{1,6},{2,7},{3,4,8},{5}}=>{{1,5,6},{2,7},{3,8},{4}}=>{{1,5,6},{2,7},{3,8},{4}}=>[3,2,2,1] {{1,3,5},{2},{4,6,8},{7}}=>{{1,3,5},{2},{4,6,8},{7}}=>{{1,5},{2,3},{4,6},{7,8}}=>[2,2,2,2] {{1,3},{2,4,6,8},{5},{7}}=>{{1,3,5,7},{2},{4},{6,8}}=>{{1,3},{2,4},{5,6},{7,8}}=>[2,2,2,2] {{1},{2,4,6,8},{3},{5,7}}=>{{1,3,5,7},{2,4},{6},{8}}=>{{1,2},{3,4},{5,7},{6,8}}=>[2,2,2,2] {{1,3},{2},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6,8},{7}}=>{{1,4},{2,3},{5,7},{6,8}}=>[2,2,2,2] {{1,3,6},{2},{4,8},{5,7}}=>{{1,5},{2,4},{3,6,8},{7}}=>{{1,6},{2,3},{4,8},{5,7}}=>[2,2,2,2] {{1,3,6},{2},{4,7},{5,8}}=>{{1,4},{2,5},{3,6,8},{7}}=>{{1,6},{2,3},{4,7},{5,8}}=>[2,2,2,2] {{1,3,5},{2},{4,7},{6,8}}=>{{1,3},{2,5},{4,6,8},{7}}=>{{1,5},{2,3},{4,7},{6,8}}=>[2,2,2,2] {{1,3,5,7},{2},{4,6},{8}}=>{{1},{2,4,6,8},{3,5},{7}}=>{{1,8},{2,3},{4,6},{5,7}}=>[2,2,2,2] {{1,3,7},{2},{4,6,8},{5}}=>{{1,3,5},{2,6,8},{4},{7}}=>{{1,7},{2,3},{4,8},{5,6}}=>[2,2,2,2] {{1,3,7},{2},{4,6},{5,8}}=>{{1,4},{2,6,8},{3,5},{7}}=>{{1,7},{2,3},{4,6},{5,8}}=>[2,2,2,2] {{1,3,5,7},{2},{4,8},{6}}=>{{1,5},{2,4,6,8},{3},{7}}=>{{1,5},{2,3},{4,8},{6,7}}=>[2,2,2,2] {{1,3},{2,4,8},{5,7},{6}}=>{{1,5,7},{2,4},{3},{6,8}}=>{{1,3},{2,4},{5,8},{6,7}}=>[2,2,2,2] {{1},{2,4,8},{3,5,7},{6}}=>{{1,5,7},{2,4,6},{3},{8}}=>{{1,2},{3,5},{4,8},{6,7}}=>[2,2,2,2] {{1,4},{2,8},{3,5,7},{6}}=>{{1,7},{2,4,6},{3},{5,8}}=>{{1,4},{2,8},{3,5},{6,7}}=>[2,2,2,2] {{1,4},{2,5,7},{3,8},{6}}=>{{1,6},{2,4,7},{3},{5,8}}=>{{1,4},{2,5},{3,8},{6,7}}=>[2,2,2,2] {{1,3},{2,5,7},{4,8},{6}}=>{{1,5},{2,4,7},{3},{6,8}}=>{{1,3},{2,5},{4,8},{6,7}}=>[2,2,2,2] {{1,3},{2,7},{4,6,8},{5}}=>{{1,3,5},{2,7},{4},{6,8}}=>{{1,3},{2,7},{4,8},{5,6}}=>[2,2,2,2] {{1,3,7},{2,4,6},{5},{8}}=>{{1},{2,6,8},{3,5,7},{4}}=>{{1,8},{2,4},{3,7},{5,6}}=>[2,2,2,2] {{1,7},{2,4,6},{3},{5,8}}=>{{1,4},{2,8},{3,5,7},{6}}=>{{1,7},{2,6},{3,4},{5,8}}=>[2,2,2,2] {{1,5,7},{2,4,8},{3},{6}}=>{{1,5,7},{2,4,8},{3},{6}}=>{{1,5},{2,8},{3,4},{6,7}}=>[2,2,2,2] {{1},{2,8},{3,5,7},{4,6}}=>{{1,7},{2,4,6},{3,5},{8}}=>{{1,2},{3,8},{4,6},{5,7}}=>[2,2,2,2] {{1,7},{2,4,6},{3,5},{8}}=>{{1},{2,8},{3,5,7},{4,6}}=>{{1,8},{2,7},{3,5},{4,6}}=>[2,2,2,2] {{1,4,7},{2,6},{3,5},{8}}=>{{1},{2,5,8},{3,7},{4,6}}=>{{1,8},{2,6},{3,5},{4,7}}=>[2,2,2,2] {{1},{2,5,8},{3,7},{4,6}}=>{{1,4,7},{2,6},{3,5},{8}}=>{{1,2},{3,7},{4,6},{5,8}}=>[2,2,2,2] {{1},{2,5,8},{3,6},{4,7}}=>{{1,4,7},{2,5},{3,6},{8}}=>{{1,2},{3,6},{4,7},{5,8}}=>[2,2,2,2] {{1},{2,4,8},{3,6},{5,7}}=>{{1,5,7},{2,4},{3,6},{8}}=>{{1,2},{3,6},{4,8},{5,7}}=>[2,2,2,2] {{1},{2,4,6,8},{3,5},{7}}=>{{1,3,5,7},{2},{4,6},{8}}=>{{1,2},{3,5},{4,6},{7,8}}=>[2,2,2,2] {{1,4},{2,6,8},{3,5},{7}}=>{{1,3,7},{2},{4,6},{5,8}}=>{{1,4},{2,6},{3,5},{7,8}}=>[2,2,2,2] {{1,4},{2,5},{3,6,8},{7}}=>{{1,3,6},{2},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7,8}}=>[2,2,2,2] {{1,3},{2,5},{4,6,8},{7}}=>{{1,3,5},{2},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7,8}}=>[2,2,2,2] {{1,5},{2,4,6,8},{3},{7}}=>{{1,3,5,7},{2},{4,8},{6}}=>{{1,5},{2,6},{3,4},{7,8}}=>[2,2,2,2] {{1,5},{2,4},{3,6,8},{7}}=>{{1,3,6},{2},{4,8},{5,7}}=>{{1,5},{2,4},{3,6},{7,8}}=>[2,2,2,2] {{1},{2,6,8},{3,5,7},{4}}=>{{1,3,7},{2,4,6},{5},{8}}=>{{1,2},{3,7},{4,5},{6,8}}=>[2,2,2,2] {{1,6},{2,8},{3,5,7},{4}}=>{{1,7},{2,4,6},{3,8},{5}}=>{{1,6},{2,8},{3,7},{4,5}}=>[2,2,2,2] {{1,6},{2,4,8},{3},{5,7}}=>{{1,5,7},{2,4},{3,8},{6}}=>{{1,6},{2,8},{3,4},{5,7}}=>[2,2,2,2] {{1,6},{2,4,7},{3},{5,8}}=>{{1,4},{2,5,7},{3,8},{6}}=>{{1,6},{2,7},{3,4},{5,8}}=>[2,2,2,2] {{1,5},{2,4,7},{3},{6,8}}=>{{1,3},{2,5,7},{4,8},{6}}=>{{1,5},{2,7},{3,4},{6,8}}=>[2,2,2,2] {{1,5,7},{2,4,6},{3},{8}}=>{{1},{2,4,8},{3,5,7},{6}}=>{{1,8},{2,6},{3,4},{5,7}}=>[2,2,2,2] {{1,5,7},{2,4},{3,6},{8}}=>{{1},{2,4,8},{3,6},{5,7}}=>{{1,8},{2,4},{3,6},{5,7}}=>[2,2,2,2] {{1},{2,6,8},{3,5},{4,7}}=>{{1,3,7},{2,5},{4,6},{8}}=>{{1,2},{3,5},{4,7},{6,8}}=>[2,2,2,2] {{1},{2,4,6,8},{3,7},{5}}=>{{1,3,5,7},{2,6},{4},{8}}=>{{1,2},{3,7},{4,8},{5,6}}=>[2,2,2,2] {{1,6},{2,7},{3,5,8},{4}}=>{{1,4,6},{2,7},{3,8},{5}}=>{{1,6},{2,7},{3,8},{4,5}}=>[2,2,2,2] {{1,3,5},{2,7},{4},{6,8}}=>{{1,3},{2,7},{4,6,8},{5}}=>{{1,3},{2,7},{4,5},{6,8}}=>[2,2,2,2] {{1,7},{2,6,8},{3,5},{4}}=>{{1,3,7},{2,8},{4,6},{5}}=>{{1,7},{2,8},{3,6},{4,5}}=>[2,2,2,2] {{1,7},{2,6},{3,5,8},{4}}=>{{1,4,6},{2,8},{3,7},{5}}=>{{1,7},{2,6},{3,8},{4,5}}=>[2,2,2,2] {{1,2},{3,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,6},{7,8}}=>{{1,3,6},{2},{4},{5,7,8}}=>[3,3,1,1] {{1,2},{3,6},{4,5,8},{7}}=>{{1,4,5},{2},{3,6},{7,8}}=>{{1,3,6},{2},{4,7,8},{5}}=>[3,3,1,1] {{1,2},{3,5,6},{4,8},{7}}=>{{1,5},{2},{3,4,6},{7,8}}=>{{1,3,5},{2},{4,7,8},{6}}=>[3,3,1,1] {{1,2,5,6},{3},{4,8},{7}}=>{{1,5},{2},{3,4,7,8},{6}}=>{{1,5},{2},{3,4,7,8},{6}}=>[4,2,1,1] {{1,2,6},{3},{4,5,8},{7}}=>{{1,4,5},{2},{3,7,8},{6}}=>{{1,6},{2},{3,4,7,8},{5}}=>[4,2,1,1] {{1,6},{2,3},{4,5,8},{7}}=>{{1,4,5},{2},{3,8},{6,7}}=>{{1,6},{2,4,7,8},{3},{5}}=>[4,2,1,1] {{1,5,6},{2,3},{4,8},{7}}=>{{1,5},{2},{3,4,8},{6,7}}=>{{1,5},{2,4,7,8},{3},{6}}=>[4,2,1,1] {{1,5,6},{2,3,8},{4},{7}}=>{{1,6,7},{2},{3,4,8},{5}}=>{{1,4,5},{2,7,8},{3},{6}}=>[3,3,1,1] {{1,5,6},{2,8},{3,4},{7}}=>{{1,7},{2},{3,4,8},{5,6}}=>{{1,3,5},{2,7,8},{4},{6}}=>[3,3,1,1] {{1,5},{2,8},{3,4,6},{7}}=>{{1,7},{2},{3,5,6},{4,8}}=>{{1,5},{2,7,8},{3,6},{4}}=>[3,2,2,1] {{1,5},{2,3,8},{4,6},{7}}=>{{1,6,7},{2},{3,5},{4,8}}=>{{1,5},{2,7,8},{3},{4,6}}=>[3,2,2,1] {{1,6},{2,3,5,8},{4},{7}}=>{{1,4,6,7},{2},{3,8},{5}}=>{{1,6},{2,7,8},{3},{4,5}}=>[3,2,2,1] {{1,2,5},{3,8},{4,6},{7}}=>{{1,6},{2},{3,5},{4,7,8}}=>{{1,5},{2},{3,7,8},{4,6}}=>[3,2,2,1] {{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2},{3,5,7,8},{6}}=>{{1,6},{2},{3,4},{5,7,8}}=>[3,2,2,1] {{1,2,4},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,7,8}}=>{{1,4},{2},{3,5,8},{6,7}}=>[3,2,2,1] {{1,2,4},{3,8},{5},{6,7}}=>{{1,6},{2,3},{4},{5,7,8}}=>{{1,4},{2},{3,5,6,8},{7}}=>[4,2,1,1] {{1,4},{2,3,8},{5},{6,7}}=>{{1,6,7},{2,3},{4},{5,8}}=>{{1,4},{2,5,6,8},{3},{7}}=>[4,2,1,1] {{1,3,4},{2,8},{5},{6,7}}=>{{1,7},{2,3},{4},{5,6,8}}=>{{1,3},{2,5,6,8},{4},{7}}=>[4,2,1,1] {{1,3,4},{2,8},{5,7},{6}}=>{{1,7},{2,4},{3},{5,6,8}}=>{{1,3},{2,5,8},{4},{6,7}}=>[3,2,2,1] {{1,4},{2,3,8},{5,7},{6}}=>{{1,6,7},{2,4},{3},{5,8}}=>{{1,4},{2,5,8},{3},{6,7}}=>[3,2,2,1] {{1,4,6},{2,3},{5,8},{7}}=>{{1,4},{2},{3,5,8},{6,7}}=>{{1,6},{2,4},{3},{5,7,8}}=>[3,2,2,1] {{1,4},{2,3,6},{5},{7,8}}=>{{1,2},{3,6,7},{4},{5,8}}=>{{1,4,7},{2,5,6},{3},{8}}=>[3,3,1,1] {{1,4},{2,3,6,8},{5},{7}}=>{{1,3,6,7},{2},{4},{5,8}}=>{{1,4},{2,5,6},{3},{7,8}}=>[3,2,2,1] {{1,4},{2,3,6},{5,8},{7}}=>{{1,4},{2},{3,6,7},{5,8}}=>{{1,4},{2,6},{3},{5,7,8}}=>[3,2,2,1] {{1,8},{2,4,5},{3,7},{6}}=>{{1,8},{2,6},{3},{4,5,7}}=>{{1},{2,4,8},{3,6,7},{5}}=>[3,3,1,1] {{1,3,8},{2,6},{4,5},{7}}=>{{1,6,8},{2},{3,7},{4,5}}=>{{1},{2,4,6},{3,7,8},{5}}=>[3,3,1,1] {{1,6},{2,5,8},{3,4},{7}}=>{{1,4,7},{2},{3,8},{5,6}}=>{{1,6},{2,7,8},{3,5},{4}}=>[3,2,2,1] {{1,6},{2,4,5},{3,8},{7}}=>{{1,6},{2},{3,8},{4,5,7}}=>{{1,6},{2,4},{3,7,8},{5}}=>[3,2,2,1] {{1,4,5},{2,8},{3,6},{7}}=>{{1,7},{2},{3,6},{4,5,8}}=>{{1,4},{2,7,8},{3,6},{5}}=>[3,2,2,1] {{1,3,8},{2,5,6},{4},{7}}=>{{1,6,8},{2},{3,4,7},{5}}=>{{1},{2,4,5},{3,7,8},{6}}=>[3,3,1,1] {{1,3,8},{2,5},{4},{6,7}}=>{{1,6,8},{2,3},{4,7},{5}}=>{{1},{2,4,5},{3,6,8},{7}}=>[3,3,1,1] {{1,5},{2,4},{3,7,8},{6}}=>{{1,2,6},{3},{4,8},{5,7}}=>{{1,5},{2,4},{3,6,7},{8}}=>[3,2,2,1] {{1,5,6},{2,4},{3,8},{7}}=>{{1,6},{2},{3,4,8},{5,7}}=>{{1,5},{2,4},{3,7,8},{6}}=>[3,2,2,1] {{1,4},{2,8},{3,5,6},{7}}=>{{1,7},{2},{3,4,6},{5,8}}=>{{1,4},{2,7,8},{3,5},{6}}=>[3,2,2,1] {{1,4},{2,7,8},{3,5},{6}}=>{{1,2,7},{3},{4,6},{5,8}}=>{{1,4},{2,6,7},{3,5},{8}}=>[3,2,2,1] {{1,4,7},{2,8},{3},{5,6}}=>{{1,7},{2,5,8},{3,4},{6}}=>{{1,3,4},{2,8},{5,7},{6}}=>[3,2,2,1] {{1,5,7},{2,8},{3,4},{6}}=>{{1,7},{2,4,8},{3},{5,6}}=>{{1,3,5},{2,8},{4},{6,7}}=>[3,2,2,1] {{1,5,7},{2,3,8},{4},{6}}=>{{1,6,7},{2,4,8},{3},{5}}=>{{1,4,5},{2,8},{3},{6,7}}=>[3,2,2,1] {{1,2,5},{3,7},{4},{6,8}}=>{{1,3},{2,6},{4,7,8},{5}}=>{{1,4,5},{2},{3,7},{6,8}}=>[3,2,2,1] {{1,5},{2,3,7},{4},{6,8}}=>{{1,3},{2,6,7},{4,8},{5}}=>{{1,4,5},{2,7},{3},{6,8}}=>[3,2,2,1] {{1,4,5},{2,7},{3},{6,8}}=>{{1,3},{2,7},{4,5,8},{6}}=>{{1,3,4},{2,7},{5},{6,8}}=>[3,2,2,1] {{1,4},{2,7},{3},{5,6,8}}=>{{1,3,4},{2,7},{5,8},{6}}=>{{1,3,4},{2,7},{5,8},{6}}=>[3,2,2,1] {{1,4},{2,6,7},{3},{5,8}}=>{{1,4},{2,3,7},{5,8},{6}}=>{{1,3,4},{2,6},{5,8},{7}}=>[3,2,2,1] {{1,4},{2,6},{3},{5,7,8}}=>{{1,2,4},{3,7},{5,8},{6}}=>{{1,3,4},{2,6},{5,7},{8}}=>[3,2,2,1] {{1,6},{2,5,7,8},{3},{4}}=>{{1,2,4,7},{3,8},{5},{6}}=>{{1,6},{2,7},{3,4,5},{8}}=>[3,2,2,1] {{1,6,7},{2,5,8},{3},{4}}=>{{1,4,7},{2,3,8},{5},{6}}=>{{1,6},{2,8},{3,4,5},{7}}=>[3,2,2,1] {{1,7},{2,5,6,8},{3},{4}}=>{{1,3,4,7},{2,8},{5},{6}}=>{{1,7},{2,8},{3,4,5},{6}}=>[3,2,2,1] {{1,7},{2,6,8},{3},{4,5}}=>{{1,3,7},{2,8},{4,5},{6}}=>{{1,7},{2,8},{3,4,6},{5}}=>[3,2,2,1] {{1,7},{2,3,6,8},{4},{5}}=>{{1,3,6,7},{2,8},{4},{5}}=>{{1,7},{2,8},{3},{4,5,6}}=>[3,2,2,1] {{1,2,8},{3,6},{4},{5,7}}=>{{1,7,8},{2,4},{3,6},{5}}=>{{1},{2},{3,6,8},{4,5,7}}=>[3,3,1,1] {{1,8},{2,6},{3},{4,5,7}}=>{{1,8},{2,4,5},{3,7},{6}}=>{{1},{2,6,8},{3,4,7},{5}}=>[3,3,1,1] {{1,8},{2,5,6},{3},{4,7}}=>{{1,8},{2,5},{3,4,7},{6}}=>{{1},{2,5,8},{3,4,7},{6}}=>[3,3,1,1] {{1,8},{2,5},{3},{4,6,7}}=>{{1,8},{2,3,5},{4,7},{6}}=>{{1},{2,5,8},{3,4,6},{7}}=>[3,3,1,1] {{1,7,8},{2,5},{3},{4,6}}=>{{1,2,8},{3,5},{4,7},{6}}=>{{1},{2,5,7},{3,4,6},{8}}=>[3,3,1,1] {{1,8},{2,4},{3,6,7},{5}}=>{{1,8},{2,3,6},{4},{5,7}}=>{{1},{2,4,8},{3,5,6},{7}}=>[3,3,1,1] {{1,7,8},{2,4},{3,6},{5}}=>{{1,2,8},{3,6},{4},{5,7}}=>{{1},{2,4,7},{3,5,6},{8}}=>[3,3,1,1] {{1,4},{2,3,7},{5,8},{6}}=>{{1,4},{2,6,7},{3},{5,8}}=>{{1,4},{2,6,7},{3},{5,8}}=>[3,2,2,1] {{1,3},{2,7},{4,5,8},{6}}=>{{1,4,5},{2,7},{3},{6,8}}=>{{1,3},{2,6,7},{4,8},{5}}=>[3,2,2,1] {{1,3},{2,6,7},{4,8},{5}}=>{{1,5},{2,3,7},{4},{6,8}}=>{{1,3},{2,5,6},{4,8},{7}}=>[3,2,2,1] {{1,3},{2,6},{4,7,8},{5}}=>{{1,2,5},{3,7},{4},{6,8}}=>{{1,3},{2,5,6},{4,7},{8}}=>[3,2,2,1] {{1,6},{2,4,7,8},{3},{5}}=>{{1,2,5,7},{3,8},{4},{6}}=>{{1,5,6},{2,7},{3,4},{8}}=>[3,2,2,1] {{1,7},{2,4,8},{3},{5,6}}=>{{1,5,7},{2,8},{3,4},{6}}=>{{1,5,7},{2,8},{3,4},{6}}=>[3,2,2,1] {{1,7},{2,4,5,8},{3},{6}}=>{{1,4,5,7},{2,8},{3},{6}}=>{{1,6,7},{2,8},{3,4},{5}}=>[3,2,2,1] {{1,7},{2,5,8},{3,4},{6}}=>{{1,4,7},{2,8},{3},{5,6}}=>{{1,6,7},{2,8},{3,5},{4}}=>[3,2,2,1] {{1,7},{2,3,5,8},{4},{6}}=>{{1,4,6,7},{2,8},{3},{5}}=>{{1,6,7},{2,8},{3},{4,5}}=>[3,2,2,1] {{1,2,7},{3},{4,6},{5,8}}=>{{1,4},{2,7,8},{3,5},{6}}=>{{1,7},{2},{3,4,6},{5,8}}=>[3,2,2,1] {{1,7},{2},{3,4,6},{5,8}}=>{{1,4},{2,8},{3,5,6},{7}}=>{{1,7},{2,3,6},{4},{5,8}}=>[3,2,2,1] {{1,7},{2},{3,6},{4,5,8}}=>{{1,4,5},{2,8},{3,6},{7}}=>{{1,7},{2,3,6},{4,8},{5}}=>[3,2,2,1] {{1,7},{2},{3,5,6},{4,8}}=>{{1,5},{2,8},{3,4,6},{7}}=>{{1,7},{2,3,5},{4,8},{6}}=>[3,2,2,1] {{1,6,7},{2},{3,5},{4,8}}=>{{1,5},{2,3,8},{4,6},{7}}=>{{1,6},{2,3,5},{4,8},{7}}=>[3,2,2,1] {{1,6},{2},{3,5},{4,7,8}}=>{{1,2,5},{3,8},{4,6},{7}}=>{{1,6},{2,3,5},{4,7},{8}}=>[3,2,2,1] {{1,5},{2},{3,7,8},{4,6}}=>{{1,2,6},{3,5},{4,8},{7}}=>{{1,5},{2,3,7},{4,6},{8}}=>[3,2,2,1] {{1,5},{2},{3,8},{4,6,7}}=>{{1,6},{2,3,5},{4,8},{7}}=>{{1,5},{2,3,8},{4,6},{7}}=>[3,2,2,1] {{1,5,6},{2},{3,8},{4,7}}=>{{1,6},{2,5},{3,4,8},{7}}=>{{1,5},{2,3,8},{4,7},{6}}=>[3,2,2,1] {{1,6},{2},{3,8},{4,5,7}}=>{{1,6},{2,4,5},{3,8},{7}}=>{{1,6},{2,3,8},{4,7},{5}}=>[3,2,2,1] {{1,6},{2},{3,4,8},{5,7}}=>{{1,5,6},{2,4},{3,8},{7}}=>{{1,6},{2,3,8},{4},{5,7}}=>[3,2,2,1] {{1,2,6},{3},{4,8},{5,7}}=>{{1,5},{2,4},{3,7,8},{6}}=>{{1,6},{2},{3,4,8},{5,7}}=>[3,2,2,1] {{1,2,6,8},{3},{4,7},{5}}=>{{1,3,7,8},{2,5},{4},{6}}=>{{1},{2},{3,4,7},{5,6,8}}=>[3,3,1,1] {{1,6,8},{2,3},{4,7},{5}}=>{{1,3,8},{2,5},{4},{6,7}}=>{{1},{2,4,7},{3},{5,6,8}}=>[3,3,1,1] {{1,6,8},{2},{3,7},{4,5}}=>{{1,3,8},{2,6},{4,5},{7}}=>{{1},{2,3,7},{4,6,8},{5}}=>[3,3,1,1] {{1,5,6,8},{2},{3,7},{4}}=>{{1,3,4,8},{2,6},{5},{7}}=>{{1},{2,3,7},{4,5,8},{6}}=>[3,3,1,1] {{1,5,8},{2},{3,6,7},{4}}=>{{1,4,8},{2,3,6},{5},{7}}=>{{1},{2,3,6},{4,5,8},{7}}=>[3,3,1,1] {{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,7,8,9}}=>[9] {{1},{2},{3},{4},{5},{6},{7},{8,9}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,7,8},{9}}=>[8,1] {{1},{2},{3},{4},{5},{6},{7,9},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,7},{8,9}}=>[7,2] {{1},{2},{3},{4},{5},{6,9},{7},{8}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6},{7,8,9}}=>[6,3] {{1},{2},{3},{4},{5,9},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9}}=>{{1,2,3,4,5},{6,7,8,9}}=>[5,4] {{1},{2},{3},{4,9},{5},{6},{7},{8}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9}}=>{{1,2,3,4},{5,6,7,8,9}}=>[5,4] {{1},{2},{3,9},{4},{5},{6},{7},{8}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9}}=>{{1,2,3},{4,5,6,7,8,9}}=>[6,3] {{1},{2,9},{3},{4},{5},{6},{7},{8}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}=>{{1,2},{3,4,5,6,7,8,9}}=>[7,2] {{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>{{1},{2,3,4,5,6,7,8,9}}=>[8,1] {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6,7,8,9,10}}=>[10] {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6,7,8,9},{10}}=>[9,1] {{1},{2},{3},{4},{5},{6},{7,8,9}}=>{{1,2,3},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,7},{8},{9}}=>[7,1,1] {{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6,7,8},{9,10}}=>[8,2] {{1},{2},{3},{4},{5},{6},{7,10},{8},{9}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6,7},{8,9,10}}=>[7,3] {{1},{2},{3},{4},{5},{6,10},{7},{8},{9}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6},{7,8,9,10}}=>[6,4] {{1},{2},{3},{4},{5,10},{6},{7},{8},{9}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9},{10}}=>{{1,2,3,4,5},{6,7,8,9,10}}=>[5,5] {{1},{2},{3},{4,10},{5},{6},{7},{8},{9}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9},{10}}=>{{1,2,3,4},{5,6,7,8,9,10}}=>[6,4] {{1},{2,9},{3,4},{5},{6},{7},{8}}=>{{1,8},{2},{3},{4},{5},{6,7},{9}}=>{{1,2},{3,5,6,7,8,9},{4}}=>[6,2,1] {{1},{2},{3,10},{4},{5},{6},{7},{8},{9}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9},{10}}=>{{1,2,3},{4,5,6,7,8,9,10}}=>[7,3] {{1,9},{2,3},{4},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6},{7,8}}=>{{1},{2,4,5,6,7,8,9},{3}}=>[7,1,1] {{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>{{1,2},{3,4,5,6,7,8,9,10}}=>[8,2] {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2,3,4,5,6,7,8,9,10}}=>[9,1] {{1,2,3,4,5,6,7,8},{9}}=>{{1},{2,3,4,5,6,7,8,9}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1,1] {{1},{2,3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7,8},{9}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7,8,9},{10}}=>{{1},{2,3,4,5,6,7,8,9,10}}=>{{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1,1] {{1,2,3,4,5,6,8},{7},{9}}=>{{1},{2,4,5,6,7,8,9},{3}}=>{{1,9},{2},{3},{4},{5},{6},{7,8}}=>[2,2,1,1,1,1,1] {{1},{2,3,4,5,6,7,9},{8}}=>{{1,3,4,5,6,7,8},{2},{9}}=>{{1,2},{3},{4},{5},{6},{7},{8,9}}=>[2,2,1,1,1,1,1] {{1},{2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9},{10}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7,8,9,10},{11}}=>{{1},{2,3,4,5,6,7,8,9,10,11}}=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1,1] {{1,2,3,4,5,8},{6,7},{9}}=>{{1},{2,5,6,7,8,9},{3,4}}=>{{1,9},{2},{3},{4},{5},{6,8},{7}}=>[2,2,1,1,1,1,1] {{1,2,3,4,5,7,8},{6},{9}}=>{{1},{2,3,5,6,7,8,9},{4}}=>{{1,9},{2},{3},{4},{5},{6,7},{8}}=>[2,2,1,1,1,1,1] {{1},{2,3,4,5,6,9},{7,8}}=>{{1,4,5,6,7,8},{2,3},{9}}=>{{1,2},{3},{4},{5},{6},{7,9},{8}}=>[2,2,1,1,1,1,1] {{1},{2,3,4,5,6,7,8,10},{9}}=>{{1,3,4,5,6,7,8,9},{2},{10}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9,10}}=>[2,2,1,1,1,1,1,1] {{1},{2,3,4,5,6,7,8,9,10,11}}=>{{1,2,3,4,5,6,7,8,9,10},{11}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>[2,1,1,1,1,1,1,1,1,1] {{1,3,6,8},{2},{4},{5,7}}=>{{1,3,6,8},{2,4},{5},{7}}=>{{1},{2,3},{4,5,7},{6,8}}=>[3,2,2,1] {{1,4,6,8},{2},{3,5},{7}}=>{{1,3,5,8},{2},{4,6},{7}}=>{{1},{2,3,5},{4,6},{7,8}}=>[3,2,2,1] {{1,5,7},{2,3},{4,8},{6}}=>{{1,5},{2,4,8},{3},{6,7}}=>{{1,5},{2,4,8},{3},{6,7}}=>[3,2,2,1] {{1,4,8},{2},{3,6},{5,7}}=>{{1,5,8},{2,4},{3,6},{7}}=>{{1},{2,3,6},{4,8},{5,7}}=>[3,2,2,1] {{1,3,8},{2},{4,6},{5,7}}=>{{1,6,8},{2,4},{3,5},{7}}=>{{1},{2,3},{4,6,8},{5,7}}=>[3,2,2,1] {{1,4,7,8},{2},{3,6},{5}}=>{{1,2,5,8},{3,6},{4},{7}}=>{{1},{2,3,5,6},{4,7},{8}}=>[4,2,1,1] {{1,4,6,7},{2},{3,5},{8}}=>{{1},{2,3,5,8},{4,6},{7}}=>{{1,8},{2,3,5},{4,6},{7}}=>[3,2,2,1] {{1,4,8},{2},{3,7},{5,6}}=>{{1,5,8},{2,6},{3,4},{7}}=>{{1},{2,3,5,7},{4,8},{6}}=>[4,2,1,1] {{1,5,8},{2},{3,7},{4,6}}=>{{1,4,8},{2,6},{3,5},{7}}=>{{1},{2,3,7},{4,6},{5,8}}=>[3,2,2,1] {{1,5,8},{2},{3,6},{4,7}}=>{{1,4,8},{2,5},{3,6},{7}}=>{{1},{2,3,6},{4,7},{5,8}}=>[3,2,2,1] {{1,4,7},{2,3},{5,8},{6}}=>{{1,4},{2,5,8},{3},{6,7}}=>{{1,6,7},{2,4},{3},{5,8}}=>[3,2,2,1] {{1,3},{2,5,8},{4,7},{6}}=>{{1,4,7},{2,5},{3},{6,8}}=>{{1,3},{2,5,8},{4,6,7}}=>[3,3,2] {{1,5},{2,4,7,8},{3},{6}}=>{{1,2,5,7},{3},{4,8},{6}}=>{{1,5},{2,6,7},{3,4},{8}}=>[3,2,2,1] {{1,3},{2,4,6,7},{5},{8}}=>{{1},{2,3,5,7},{4},{6,8}}=>{{1,3,8},{2,4},{5,6},{7}}=>[3,2,2,1] {{1,3},{2,4,8},{5,6},{7}}=>{{1,5,7},{2},{3,4},{6,8}}=>{{1,3},{2,4},{5,7,8},{6}}=>[3,2,2,1] {{1,3},{2,5,8},{4,6},{7}}=>{{1,4,7},{2},{3,5},{6,8}}=>{{1,3},{2,5,7,8},{4,6}}=>[4,2,2] {{1,6},{2,3,4},{5,8},{7}}=>{{1,4},{2},{3,8},{5,6,7}}=>{{1,6},{2,5,7,8},{3},{4}}=>[4,2,1,1] {{1,6},{2,4},{3,5,8},{7}}=>{{1,4,6},{2},{3,8},{5,7}}=>{{1,6},{2,4},{3,5,7,8}}=>[4,2,2] {{1,4},{2,6},{3,5,8},{7}}=>{{1,4,6},{2},{3,7},{5,8}}=>{{1,4},{2,6},{3,5,7,8}}=>[4,2,2] {{1,4},{2,5,6},{3,7},{8}}=>{{1},{2,6},{3,4,7},{5,8}}=>{{1,4,8},{2,5},{3,7},{6}}=>[3,2,2,1] {{1,4},{2,6,7},{3,8},{5}}=>{{1,6},{2,3,7},{4},{5,8}}=>{{1,4},{2,5,6},{3,8},{7}}=>[3,2,2,1] {{1,2,5},{3,6},{4},{7,8}}=>{{1,2},{3,6},{4,7,8},{5}}=>{{1,4,5,7},{2},{3,6},{8}}=>[4,2,1,1] {{1,2,4},{3,7},{5,6},{8}}=>{{1},{2,6},{3,4},{5,7,8}}=>{{1,4,8},{2},{3,5,7},{6}}=>[3,3,1,1] {{1,3,4},{2,7},{5,6},{8}}=>{{1},{2,7},{3,4},{5,6,8}}=>{{1,3,8},{2,5,7},{4},{6}}=>[3,3,1,1] {{1,6,7},{2,8},{3},{4,5}}=>{{1,7},{2,3,8},{4,5},{6}}=>{{1,3,4,6},{2,8},{5},{7}}=>[4,2,1,1] {{1,5,6},{2,3},{4,7},{8}}=>{{1},{2,5},{3,4,8},{6,7}}=>{{1,5,8},{2,4,7},{3},{6}}=>[3,3,1,1] {{1,4,6},{2,3},{5,7},{8}}=>{{1},{2,4},{3,5,8},{6,7}}=>{{1,6,8},{2,4},{3},{5,7}}=>[3,2,2,1] {{1,4},{2,3,6},{5,7},{8}}=>{{1},{2,4},{3,6,7},{5,8}}=>{{1,4,8},{2,6},{3},{5,7}}=>[3,2,2,1] {{1,4},{2,3,7},{5},{6,8}}=>{{1,3},{2,6,7},{4},{5,8}}=>{{1,4},{2,7},{3},{5,6,8}}=>[3,2,2,1] {{1,2,4},{3,7},{5},{6,8}}=>{{1,3},{2,6},{4},{5,7,8}}=>{{1,4},{2},{3,7},{5,6,8}}=>[3,2,2,1] {{1,3,4},{2,7},{5},{6,8}}=>{{1,3},{2,7},{4},{5,6,8}}=>{{1,3},{2,7},{4},{5,6,8}}=>[3,2,2,1] {{1,2,7},{3},{4,5},{6,8}}=>{{1,3},{2,7,8},{4,5},{6}}=>{{1,7},{2},{3,4,6,8},{5}}=>[4,2,1,1] {{1,2,6},{3},{4},{5,7,8}}=>{{1,2,4},{3,7,8},{5},{6}}=>{{1,6},{2},{3,4,5,7},{8}}=>[4,2,1,1] {{1,7},{2,3,4},{5},{6,8}}=>{{1,3},{2,8},{4},{5,6,7}}=>{{1,7},{2,5,6,8},{3},{4}}=>[4,2,1,1] {{1,7},{2,4},{3,6,8},{5}}=>{{1,3,6},{2,8},{4},{5,7}}=>{{1,7},{2,4},{3,5,6,8}}=>[4,2,2] {{1,4},{2,7},{3,6,8},{5}}=>{{1,3,6},{2,7},{4},{5,8}}=>{{1,4},{2,7},{3,5,6,8}}=>[4,2,2] {{1,4},{2,6},{3,5,7},{8}}=>{{1},{2,4,6},{3,7},{5,8}}=>{{1,4,8},{2,6},{3,5,7}}=>[3,3,2] {{1,6},{2,4},{3,5,7},{8}}=>{{1},{2,4,6},{3,8},{5,7}}=>{{1,6,8},{2,4},{3,5,7}}=>[3,3,2] {{1,6},{2,3,4},{5,7},{8}}=>{{1},{2,4},{3,8},{5,6,7}}=>{{1,6,8},{2,5,7},{3},{4}}=>[3,3,1,1] {{1,3},{2,5,7},{4,6},{8}}=>{{1},{2,4,7},{3,5},{6,8}}=>{{1,3,8},{2,5,7},{4,6}}=>[3,3,2] {{1,3},{2,4,7},{5,6},{8}}=>{{1},{2,5,7},{3,4},{6,8}}=>{{1,3,8},{2,4},{5,7},{6}}=>[3,2,2,1] {{1,5},{2,7,8},{3},{4,6}}=>{{1,2,7},{3,5},{4,8},{6}}=>{{1,5},{2,7},{3,4,6},{8}}=>[3,2,2,1] {{1,7},{2,4},{3,5,6},{8}}=>{{1},{2,8},{3,4,6},{5,7}}=>{{1,8},{2,4,7},{3,5},{6}}=>[3,2,2,1] {{1,6},{2,5},{3,7,8},{4}}=>{{1,2,6},{3,8},{4,7},{5}}=>{{1,6},{2,4,5},{3,7},{8}}=>[3,2,2,1] {{1,5},{2,6},{3,7,8},{4}}=>{{1,2,6},{3,7},{4,8},{5}}=>{{1,4,5},{2,6},{3,7},{8}}=>[3,2,2,1] {{1,4},{2,8},{3,6,7},{5}}=>{{1,7},{2,3,6},{4},{5,8}}=>{{1,4},{2,8},{3,5,6},{7}}=>[3,2,2,1] {{1,4},{2,7},{3,5,6},{8}}=>{{1},{2,7},{3,4,6},{5,8}}=>{{1,4,8},{2,7},{3,5},{6}}=>[3,2,2,1] {{1,3},{2,4,5,6},{7,8}}=>{{1,2},{3,4,5,7},{6,8}}=>{{1,3,7},{2,4},{5},{6},{8}}=>[3,2,1,1,1] {{1,4},{2,3,5,6},{7,8}}=>{{1,2},{3,4,6,7},{5,8}}=>{{1,4,7},{2,5},{3},{6},{8}}=>[3,2,1,1,1] {{1,4},{2,3,5,7},{6,8}}=>{{1,3},{2,4,6,7},{5,8}}=>{{1,4},{2,5,7},{3},{6,8}}=>[3,2,2,1] {{1,3},{2,4,5,7},{6,8}}=>{{1,3},{2,4,5,7},{6,8}}=>{{1,3},{2,4,7},{5},{6,8}}=>[3,2,2,1] {{1,2},{3,4,5,7},{6,8}}=>{{1,3},{2,4,5,6},{7,8}}=>{{1,3,7},{2},{4},{5},{6,8}}=>[3,2,1,1,1] {{1,3},{2,4,5,6,7,8}}=>{{1,2,3,4,5,7},{6,8}}=>{{1,3},{2,4},{5},{6},{7},{8}}=>[2,2,1,1,1,1] {{1,4},{2,3,5,6,7,8}}=>{{1,2,3,4,6,7},{5,8}}=>{{1,4},{2,5},{3},{6},{7},{8}}=>[2,2,1,1,1,1] {{1,5},{2,3,4,6,7,8}}=>{{1,2,3,5,6,7},{4,8}}=>{{1,5},{2,6},{3},{4},{7},{8}}=>[2,2,1,1,1,1] {{1,2},{3,4,6,7},{5,8}}=>{{1,4},{2,3,5,6},{7,8}}=>{{1,3,6},{2},{4},{5,8},{7}}=>[3,2,1,1,1] {{1,3},{2,4,6,7},{5,8}}=>{{1,4},{2,3,5,7},{6,8}}=>{{1,3},{2,4,6},{5,8},{7}}=>[3,2,2,1] {{1,4},{2,3,6,7},{5,8}}=>{{1,4},{2,3,6,7},{5,8}}=>{{1,4},{2,6},{3},{5,8},{7}}=>[2,2,2,1,1] {{1,5},{2,3,6,7},{4,8}}=>{{1,5},{2,3,6,7},{4,8}}=>{{1,5},{2,6},{3},{4,8},{7}}=>[2,2,2,1,1] {{1,3},{2,4},{5,6,7,8}}=>{{1,2,3,4},{5,7},{6,8}}=>{{1,3,5},{2,4},{6},{7},{8}}=>[3,2,1,1,1] {{1,4},{2,5},{3,6,7,8}}=>{{1,2,3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6},{7},{8}}=>[2,2,2,1,1] {{1,3},{2,5},{4,6,7,8}}=>{{1,2,3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6},{7},{8}}=>[2,2,2,1,1] {{1,2},{3,5},{4,6,7,8}}=>{{1,2,3,5},{4,6},{7,8}}=>{{1,3,5},{2},{4,6},{7},{8}}=>[3,2,1,1,1] {{1,2},{3,6},{4,5,7,8}}=>{{1,2,4,5},{3,6},{7,8}}=>{{1,3,6},{2},{4,7},{5},{8}}=>[3,2,1,1,1] {{1,3},{2,6},{4,5,7,8}}=>{{1,2,4,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,7},{5},{8}}=>[2,2,2,1,1] {{1,4},{2,6},{3,5,7,8}}=>{{1,2,4,6},{3,7},{5,8}}=>{{1,4},{2,6},{3,5,7},{8}}=>[3,2,2,1] {{1,5},{2,6},{3,4,7,8}}=>{{1,2,5,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,7},{4},{8}}=>[2,2,2,1,1] {{1,2},{3,5,6,8},{4,7}}=>{{1,3,4,6},{2,5},{7,8}}=>{{1,3},{2},{4,7},{5,8},{6}}=>[2,2,2,1,1] {{1,3},{2,5,6,8},{4,7}}=>{{1,3,4,7},{2,5},{6,8}}=>{{1,3},{2,5,8},{4,7},{6}}=>[3,2,2,1] {{1,4},{2,5,6,8},{3,7}}=>{{1,3,4,7},{2,6},{5,8}}=>{{1,4},{2,5,8},{3,7},{6}}=>[3,2,2,1] {{1,5},{2,4,6,8},{3,7}}=>{{1,3,5,7},{2,6},{4,8}}=>{{1,5},{2,4,6,8},{3,7}}=>[4,2,2] {{1,4,5,8},{2,3,6,7}}=>{{1,4,5,8},{2,3,6,7}}=>{{1},{2,6},{3},{4,8},{5},{7}}=>[2,2,1,1,1,1] {{1,4},{2},{3,5,6},{7,8}}=>{{1,2},{3,4,6},{5,8},{7}}=>{{1,4,7},{2,3,5},{6},{8}}=>[3,3,1,1] {{1,4,5},{2},{3,6},{7,8}}=>{{1,2},{3,6},{4,5,8},{7}}=>{{1,4,7},{2,3,6},{5},{8}}=>[3,3,1,1] {{1,5},{2},{3,4,6},{7,8}}=>{{1,2},{3,5,6},{4,8},{7}}=>{{1,5,7},{2,3,6},{4},{8}}=>[3,3,1,1] {{1,6},{2},{3,4,7,8},{5}}=>{{1,2,5,6},{3,8},{4},{7}}=>{{1,5,6},{2,3,7},{4},{8}}=>[3,3,1,1] {{1,5},{2},{3,4,7,8},{6}}=>{{1,2,5,6},{3},{4,8},{7}}=>{{1,5},{2,3,6,7},{4},{8}}=>[4,2,1,1] {{1,4,5},{2},{3,7,8},{6}}=>{{1,2,6},{3},{4,5,8},{7}}=>{{1,4},{2,3,6,7},{5},{8}}=>[4,2,1,1] {{1,4,5},{2},{3,8},{6,7}}=>{{1,6},{2,3},{4,5,8},{7}}=>{{1,4},{2,3,6,8},{5},{7}}=>[4,2,1,1] {{1,6,7},{2},{3,4,8},{5}}=>{{1,5,6},{2,3,8},{4},{7}}=>{{1,5,6},{2,3,8},{4},{7}}=>[3,3,1,1] {{1,7},{2},{3,4,8},{5,6}}=>{{1,5,6},{2,8},{3,4},{7}}=>{{1,5,7},{2,3,8},{4},{6}}=>[3,3,1,1] {{1,4,6,7},{2},{3,8},{5}}=>{{1,6},{2,3,5,8},{4},{7}}=>{{1,4},{2,3,8},{5,6},{7}}=>[3,2,2,1] {{1,4,6},{2},{3,7,8},{5}}=>{{1,2,6},{3,5,8},{4},{7}}=>{{1,4},{2,3,7},{5,6},{8}}=>[3,2,2,1] {{1,3,6},{2},{4},{5,7,8}}=>{{1,2,4},{3,6,8},{5},{7}}=>{{1,6},{2,3},{4,5,7},{8}}=>[3,2,2,1] {{1,2},{3,6},{4},{5,7,8}}=>{{1,2,4},{3,6},{5},{7,8}}=>{{1,3,6},{2},{4,5,7},{8}}=>[3,3,1,1] {{1,4},{2},{3,5,7,8},{6}}=>{{1,2,4,6},{3},{5,8},{7}}=>{{1,4},{2,3,5},{6,7},{8}}=>[3,2,2,1] {{1,6},{2,4},{3},{5,7,8}}=>{{1,2,4},{3,8},{5,7},{6}}=>{{1,6},{2,5,7},{3,4},{8}}=>[3,2,2,1] {{1,6,7},{2,3},{4},{5,8}}=>{{1,4},{2,3,8},{5},{6,7}}=>{{1,6},{2,4,5,8},{3},{7}}=>[4,2,1,1] {{1,7},{2,4},{3},{5,6,8}}=>{{1,3,4},{2,8},{5,7},{6}}=>{{1,7},{2,5,8},{3,4},{6}}=>[3,2,2,1] {{1,6,7},{2,4},{3},{5,8}}=>{{1,4},{2,3,8},{5,7},{6}}=>{{1,6},{2,5,8},{3,4},{7}}=>[3,2,2,1] {{1,2},{3,6,7},{4},{5,8}}=>{{1,4},{2,3,6},{5},{7,8}}=>{{1,3,6},{2},{4,5,8},{7}}=>[3,3,1,1] {{1,3,6,7},{2},{4},{5,8}}=>{{1,4},{2,3,6,8},{5},{7}}=>{{1,6},{2,3},{4,5,8},{7}}=>[3,2,2,1] {{1,3,7},{2},{4},{5,6,8}}=>{{1,3,4},{2,6,8},{5},{7}}=>{{1,7},{2,3},{4,5,8},{6}}=>[3,2,2,1] {{1,2},{3,7},{4},{5,6,8}}=>{{1,3,4},{2,6},{5},{7,8}}=>{{1,3,7},{2},{4,5,8},{6}}=>[3,3,1,1] {{1,4,7},{2},{3,8},{5,6}}=>{{1,6},{2,5,8},{3,4},{7}}=>{{1,4},{2,3,8},{5,7},{6}}=>[3,2,2,1] {{1,7},{2,4,5},{3},{6,8}}=>{{1,3},{2,8},{4,5,7},{6}}=>{{1,7},{2,6,8},{3,4},{5}}=>[3,2,2,1] {{1,8},{2,4,5},{3,6},{7}}=>{{1,8},{2},{3,6},{4,5,7}}=>{{1},{2,4,7,8},{3,6},{5}}=>[4,2,1,1] {{1,8},{2,4},{3,5,6},{7}}=>{{1,8},{2},{3,4,6},{5,7}}=>{{1},{2,4,7,8},{3,5},{6}}=>[4,2,1,1] {{1,5,8},{2,3},{4,6},{7}}=>{{1,4,8},{2},{3,5},{6,7}}=>{{1},{2,4,6},{3},{5,7,8}}=>[3,3,1,1] {{1,8},{2,5},{3,4,6},{7}}=>{{1,8},{2},{3,5,6},{4,7}}=>{{1},{2,5,7,8},{3,6},{4}}=>[4,2,1,1] {{1,4,8},{2},{3,5,6},{7}}=>{{1,5,8},{2},{3,4,6},{7}}=>{{1},{2,3,5},{4,7,8},{6}}=>[3,3,1,1] {{1,5,7},{2,3},{4},{6,8}}=>{{1,3},{2,4,8},{5},{6,7}}=>{{1,7},{2,4,5},{3},{6,8}}=>[3,2,2,1] {{1},{2,5,6},{3,7},{4,8}}=>{{1,5},{2,6},{3,4,7},{8}}=>{{1,2,5},{3,7},{4,8},{6}}=>[3,2,2,1] {{1},{2,5,6},{3},{4,7,8}}=>{{1,2,5},{3,4,7},{6},{8}}=>{{1,2,5},{3,4,7},{6},{8}}=>[3,3,1,1] {{1},{2},{3,6,7},{4,5,8}}=>{{1,4,5},{2,3,6},{7},{8}}=>{{1,2,3,6},{4,8},{5},{7}}=>[4,2,1,1] {{1},{2,3,6,7},{4},{5,8}}=>{{1,4},{2,3,6,7},{5},{8}}=>{{1,2,6},{3},{4,5,8},{7}}=>[3,3,1,1] {{1},{2,3,6},{4,8},{5,7}}=>{{1,5},{2,4},{3,6,7},{8}}=>{{1,2,6},{3},{4,8},{5,7}}=>[3,2,2,1] {{1},{2},{3,6},{4,5,7,8}}=>{{1,2,4,5},{3,6},{7},{8}}=>{{1,2,3,6},{4,7},{5},{8}}=>[4,2,1,1] {{1},{2,5},{3},{4,6,7,8}}=>{{1,2,3,5},{4,7},{6},{8}}=>{{1,2,5},{3,4,6},{7},{8}}=>[3,3,1,1] {{1},{2,5},{3,6,7},{4,8}}=>{{1,5},{2,3,6},{4,7},{8}}=>{{1,2,5},{3,6},{4,8},{7}}=>[3,2,2,1] {{1},{2},{3,5,6,7},{4,8}}=>{{1,5},{2,3,4,6},{7},{8}}=>{{1,2,3,5},{4,8},{6},{7}}=>[4,2,1,1] {{1},{2},{3,5,6},{4,7,8}}=>{{1,2,5},{3,4,6},{7},{8}}=>{{1,2,3,5},{4,7},{6},{8}}=>[4,2,1,1] {{1},{2},{3,5},{4,6,7,8}}=>{{1,2,3,5},{4,6},{7},{8}}=>{{1,2,3,5},{4,6},{7},{8}}=>[4,2,1,1] {{1},{2,4,8},{3,5},{6,7}}=>{{1,5,7},{2,3},{4,6},{8}}=>{{1,2},{3,5},{4,6,8},{7}}=>[3,2,2,1] {{1,3},{2,8},{4,5,7},{6}}=>{{1,7},{2,4,5},{3},{6,8}}=>{{1,3},{2,4,8},{5},{6,7}}=>[3,2,2,1] {{1,7},{2,3,4,8},{5},{6}}=>{{1,5,6,7},{2,8},{3},{4}}=>{{1,5,6,7},{2,8},{3},{4}}=>[4,2,1,1] {{1},{2,4,7},{3},{5,6,8}}=>{{1,3,4},{2,5,7},{6},{8}}=>{{1,2,7},{3,4},{5,8},{6}}=>[3,2,2,1] {{1,7},{2},{3,4,5},{6,8}}=>{{1,3},{2,8},{4,5,6},{7}}=>{{1,7},{2,3,6,8},{4},{5}}=>[4,2,1,1] {{1},{2,3,7},{4,8},{5,6}}=>{{1,5},{2,6,7},{3,4},{8}}=>{{1,2,5,7},{3},{4,8},{6}}=>[4,2,1,1] {{1,5},{2},{3,6,7},{4,8}}=>{{1,5},{2,3,6},{4,8},{7}}=>{{1,5},{2,3,6},{4,8},{7}}=>[3,2,2,1] {{1,5},{2},{3,6},{4,7,8}}=>{{1,2,5},{3,6},{4,8},{7}}=>{{1,5},{2,3,6},{4,7},{8}}=>[3,2,2,1] {{1,5},{2},{3},{4,6,7,8}}=>{{1,2,3,5},{4,8},{6},{7}}=>{{1,5},{2,3,4,6},{7},{8}}=>[4,2,1,1] {{1,6},{2},{3,4},{5,7,8}}=>{{1,2,4},{3,8},{5,6},{7}}=>{{1,6},{2,3,5,7},{4},{8}}=>[4,2,1,1] {{1,2,6},{3},{4,7,8},{5}}=>{{1,2,5},{3,7,8},{4},{6}}=>{{1,5,6},{2},{3,4,7},{8}}=>[3,3,1,1] {{1,6},{2},{3,4,7},{5,8}}=>{{1,4},{2,5,6},{3,8},{7}}=>{{1,6},{2,3,7},{4},{5,8}}=>[3,2,2,1] {{1},{2,6},{3,7},{4,5,8}}=>{{1,4,5},{2,6},{3,7},{8}}=>{{1,2,6},{3,7},{4,8},{5}}=>[3,2,2,1] {{1,5},{2},{3,7},{4,6,8}}=>{{1,3,5},{2,6},{4,8},{7}}=>{{1,5},{2,3,7},{4,6,8}}=>[3,3,2] {{1,5},{2,6},{3},{4,7,8}}=>{{1,2,5},{3,7},{4,8},{6}}=>{{1,5},{2,6},{3,4,7},{8}}=>[3,2,2,1] {{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}}=>[6,1,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,8},{9,12},{10,11}}=>{{1,4},{2,3},{5,6},{7,8},{9,10},{11,12}}=>{{1,3,5,7,9},{2},{4},{6},{8},{10,12},{11}}=>[5,2,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,10},{8,9},{11,12}}=>{{1,2},{3,6},{4,5},{7,8},{9,10},{11,12}}=>{{1,3,5,7,11},{2},{4},{6},{8,10},{9},{12}}=>[5,2,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,12},{8,9},{10,11}}=>{{1,6},{2,3},{4,5},{7,8},{9,10},{11,12}}=>{{1,3,5,7},{2},{4},{6},{8,10,12},{9},{11}}=>[4,3,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,12},{8,11},{9,10}}=>{{1,6},{2,5},{3,4},{7,8},{9,10},{11,12}}=>{{1,3,5,7},{2},{4},{6},{8,12},{9,11},{10}}=>[4,2,2,1,1,1,1] {{1,2},{3,4},{5,8},{6,7},{9,10},{11,12}}=>{{1,2},{3,4},{5,8},{6,7},{9,10},{11,12}}=>{{1,3,5,9,11},{2},{4},{6,8},{7},{10},{12}}=>[5,2,1,1,1,1,1] {{1,2},{3,4},{5,8},{6,7},{9,12},{10,11}}=>{{1,4},{2,3},{5,8},{6,7},{9,10},{11,12}}=>{{1,3,5,9},{2},{4},{6,8},{7},{10,12},{11}}=>[4,2,2,1,1,1,1] {{1,2},{3,4},{5,10},{6,7},{8,9},{11,12}}=>{{1,2},{3,8},{4,5},{6,7},{9,10},{11,12}}=>{{1,3,5,11},{2},{4},{6,8,10},{7},{9},{12}}=>[4,3,1,1,1,1,1] {{1,2},{3,4},{5,12},{6,7},{8,9},{10,11}}=>{{1,8},{2,3},{4,5},{6,7},{9,10},{11,12}}=>{{1,3,5},{2},{4},{6,8,10,12},{7},{9},{11}}=>[4,3,1,1,1,1,1] {{1,2},{3,4},{5,12},{6,7},{8,11},{9,10}}=>{{1,8},{2,5},{3,4},{6,7},{9,10},{11,12}}=>{{1,3,5},{2},{4},{6,8,12},{7},{9,11},{10}}=>[3,3,2,1,1,1,1] {{1,2},{3,4},{5,10},{6,9},{7,8},{11,12}}=>{{1,2},{3,8},{4,7},{5,6},{9,10},{11,12}}=>{{1,3,5,11},{2},{4},{6,10},{7,9},{8},{12}}=>[4,2,2,1,1,1,1] {{1,2},{3,4},{5,12},{6,9},{7,8},{10,11}}=>{{1,8},{2,3},{4,7},{5,6},{9,10},{11,12}}=>{{1,3,5},{2},{4},{6,10,12},{7,9},{8},{11}}=>[3,3,2,1,1,1,1] {{1,2},{3,4},{5,12},{6,11},{7,8},{9,10}}=>{{1,8},{2,7},{3,4},{5,6},{9,10},{11,12}}=>{{1,3,5},{2},{4},{6,12},{7,9,11},{8},{10}}=>[3,3,2,1,1,1,1] {{1,2},{3,4},{5,12},{6,11},{7,10},{8,9}}=>{{1,8},{2,7},{3,6},{4,5},{9,10},{11,12}}=>{{1,3,5},{2},{4},{6,12},{7,11},{8,10},{9}}=>[3,2,2,2,1,1,1] {{1,2},{3,6},{4,5},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,10},{8,9},{11,12}}=>{{1,3,7,9,11},{2},{4,6},{5},{8},{10},{12}}=>[5,2,1,1,1,1,1] {{1,2},{3,6},{4,5},{7,8},{9,12},{10,11}}=>{{1,4},{2,3},{5,6},{7,10},{8,9},{11,12}}=>{{1,3,7,9},{2},{4,6},{5},{8},{10,12},{11}}=>[4,2,2,1,1,1,1] {{1,2},{3,6},{4,5},{7,10},{8,9},{11,12}}=>{{1,2},{3,6},{4,5},{7,10},{8,9},{11,12}}=>{{1,3,7,11},{2},{4,6},{5},{8,10},{9},{12}}=>[4,2,2,1,1,1,1] {{1,2},{3,6},{4,5},{7,12},{8,9},{10,11}}=>{{1,6},{2,3},{4,5},{7,10},{8,9},{11,12}}=>{{1,3,7},{2},{4,6},{5},{8,10,12},{9},{11}}=>[3,3,2,1,1,1,1] {{1,2},{3,6},{4,5},{7,12},{8,11},{9,10}}=>{{1,6},{2,5},{3,4},{7,10},{8,9},{11,12}}=>{{1,3,7},{2},{4,6},{5},{8,12},{9,11},{10}}=>[3,2,2,2,1,1,1] {{1,2},{3,8},{4,5},{6,7},{9,10},{11,12}}=>{{1,2},{3,4},{5,10},{6,7},{8,9},{11,12}}=>{{1,3,9,11},{2},{4,6,8},{5},{7},{10},{12}}=>[4,3,1,1,1,1,1] {{1,2},{3,8},{4,5},{6,7},{9,12},{10,11}}=>{{1,4},{2,3},{5,10},{6,7},{8,9},{11,12}}=>{{1,3,9},{2},{4,6,8},{5},{7},{10,12},{11}}=>[3,3,2,1,1,1,1] {{1,2},{3,10},{4,5},{6,7},{8,9},{11,12}}=>{{1,2},{3,10},{4,5},{6,7},{8,9},{11,12}}=>{{1,3,11},{2},{4,6,8,10},{5},{7},{9},{12}}=>[4,3,1,1,1,1,1] {{1,2},{3,12},{4,5},{6,7},{8,9},{10,11}}=>{{1,10},{2,3},{4,5},{6,7},{8,9},{11,12}}=>{{1,3},{2},{4,6,8,10,12},{5},{7},{9},{11}}=>[5,2,1,1,1,1,1] {{1,2},{3,12},{4,5},{6,7},{8,11},{9,10}}=>{{1,10},{2,5},{3,4},{6,7},{8,9},{11,12}}=>{{1,3},{2},{4,6,8,12},{5},{7},{9,11},{10}}=>[4,2,2,1,1,1,1] {{1,2},{3,10},{4,5},{6,9},{7,8},{11,12}}=>{{1,2},{3,10},{4,7},{5,6},{8,9},{11,12}}=>{{1,3,11},{2},{4,6,10},{5},{7,9},{8},{12}}=>[3,3,2,1,1,1,1] {{1,2},{3,12},{4,5},{6,9},{7,8},{10,11}}=>{{1,10},{2,3},{4,7},{5,6},{8,9},{11,12}}=>{{1,3},{2},{4,6,10,12},{5},{7,9},{8},{11}}=>[4,2,2,1,1,1,1] {{1,2},{3,12},{4,5},{6,11},{7,8},{9,10}}=>{{1,10},{2,7},{3,4},{5,6},{8,9},{11,12}}=>{{1,3},{2},{4,6,12},{5},{7,9,11},{8},{10}}=>[3,3,2,1,1,1,1] {{1,2},{3,12},{4,5},{6,11},{7,10},{8,9}}=>{{1,10},{2,7},{3,6},{4,5},{8,9},{11,12}}=>{{1,3},{2},{4,6,12},{5},{7,11},{8,10},{9}}=>[3,2,2,2,1,1,1] {{1,2},{3,8},{4,7},{5,6},{9,10},{11,12}}=>{{1,2},{3,4},{5,10},{6,9},{7,8},{11,12}}=>{{1,3,9,11},{2},{4,8},{5,7},{6},{10},{12}}=>[4,2,2,1,1,1,1] {{1,2},{3,8},{4,7},{5,6},{9,12},{10,11}}=>{{1,4},{2,3},{5,10},{6,9},{7,8},{11,12}}=>{{1,3,9},{2},{4,8},{5,7},{6},{10,12},{11}}=>[3,2,2,2,1,1,1] {{1,2},{3,10},{4,7},{5,6},{8,9},{11,12}}=>{{1,2},{3,10},{4,5},{6,9},{7,8},{11,12}}=>{{1,3,11},{2},{4,8,10},{5,7},{6},{9},{12}}=>[3,3,2,1,1,1,1] {{1,2},{3,12},{4,7},{5,6},{8,9},{10,11}}=>{{1,10},{2,3},{4,5},{6,9},{7,8},{11,12}}=>{{1,3},{2},{4,8,10,12},{5,7},{6},{9},{11}}=>[4,2,2,1,1,1,1] {{1,2},{3,12},{4,7},{5,6},{8,11},{9,10}}=>{{1,10},{2,5},{3,4},{6,9},{7,8},{11,12}}=>{{1,3},{2},{4,8,12},{5,7},{6},{9,11},{10}}=>[3,2,2,2,1,1,1] {{1,2},{3,10},{4,9},{5,6},{7,8},{11,12}}=>{{1,2},{3,10},{4,9},{5,6},{7,8},{11,12}}=>{{1,3,11},{2},{4,10},{5,7,9},{6},{8},{12}}=>[3,3,2,1,1,1,1] {{1,2},{3,12},{4,9},{5,6},{7,8},{10,11}}=>{{1,10},{2,3},{4,9},{5,6},{7,8},{11,12}}=>{{1,3},{2},{4,10,12},{5,7,9},{6},{8},{11}}=>[3,3,2,1,1,1,1] {{1,2},{3,12},{4,11},{5,6},{7,8},{9,10}}=>{{1,10},{2,9},{3,4},{5,6},{7,8},{11,12}}=>{{1,3},{2},{4,12},{5,7,9,11},{6},{8},{10}}=>[4,2,2,1,1,1,1] {{1,2},{3,12},{4,11},{5,6},{7,10},{8,9}}=>{{1,10},{2,9},{3,6},{4,5},{7,8},{11,12}}=>{{1,3},{2},{4,12},{5,7,11},{6},{8,10},{9}}=>[3,2,2,2,1,1,1] {{1,2},{3,10},{4,9},{5,8},{6,7},{11,12}}=>{{1,2},{3,10},{4,9},{5,8},{6,7},{11,12}}=>{{1,3,11},{2},{4,10},{5,9},{6,8},{7},{12}}=>[3,2,2,2,1,1,1] {{1,2},{3,12},{4,9},{5,8},{6,7},{10,11}}=>{{1,10},{2,3},{4,9},{5,8},{6,7},{11,12}}=>{{1,3},{2},{4,10,12},{5,9},{6,8},{7},{11}}=>[3,2,2,2,1,1,1] {{1,2},{3,12},{4,11},{5,8},{6,7},{9,10}}=>{{1,10},{2,9},{3,4},{5,8},{6,7},{11,12}}=>{{1,3},{2},{4,12},{5,9,11},{6,8},{7},{10}}=>[3,2,2,2,1,1,1] {{1,2},{3,12},{4,11},{5,10},{6,7},{8,9}}=>{{1,10},{2,9},{3,8},{4,5},{6,7},{11,12}}=>{{1,3},{2},{4,12},{5,11},{6,8,10},{7},{9}}=>[3,2,2,2,1,1,1] {{1,2},{3,12},{4,11},{5,10},{6,9},{7,8}}=>{{1,10},{2,9},{3,8},{4,7},{5,6},{11,12}}=>{{1,3},{2},{4,12},{5,11},{6,10},{7,9},{8}}=>[2,2,2,2,2,1,1] {{1,4},{2,3},{5,6},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,8},{9,12},{10,11}}=>{{1,5,7,9,11},{2,4},{3},{6},{8},{10},{12}}=>[5,2,1,1,1,1,1] {{1,4},{2,3},{5,6},{7,8},{9,12},{10,11}}=>{{1,4},{2,3},{5,6},{7,8},{9,12},{10,11}}=>{{1,5,7,9},{2,4},{3},{6},{8},{10,12},{11}}=>[4,2,2,1,1,1,1] {{1,4},{2,3},{5,6},{7,10},{8,9},{11,12}}=>{{1,2},{3,6},{4,5},{7,8},{9,12},{10,11}}=>{{1,5,7,11},{2,4},{3},{6},{8,10},{9},{12}}=>[4,2,2,1,1,1,1] {{1,4},{2,3},{5,6},{7,12},{8,9},{10,11}}=>{{1,6},{2,3},{4,5},{7,8},{9,12},{10,11}}=>{{1,5,7},{2,4},{3},{6},{8,10,12},{9},{11}}=>[3,3,2,1,1,1,1] {{1,4},{2,3},{5,6},{7,12},{8,11},{9,10}}=>{{1,6},{2,5},{3,4},{7,8},{9,12},{10,11}}=>{{1,5,7},{2,4},{3},{6},{8,12},{9,11},{10}}=>[3,2,2,2,1,1,1] {{1,4},{2,3},{5,8},{6,7},{9,10},{11,12}}=>{{1,2},{3,4},{5,8},{6,7},{9,12},{10,11}}=>{{1,5,9,11},{2,4},{3},{6,8},{7},{10},{12}}=>[4,2,2,1,1,1,1] {{1,4},{2,3},{5,8},{6,7},{9,12},{10,11}}=>{{1,4},{2,3},{5,8},{6,7},{9,12},{10,11}}=>{{1,5,9},{2,4},{3},{6,8},{7},{10,12},{11}}=>[3,2,2,2,1,1,1] {{1,4},{2,3},{5,10},{6,7},{8,9},{11,12}}=>{{1,2},{3,8},{4,5},{6,7},{9,12},{10,11}}=>{{1,5,11},{2,4},{3},{6,8,10},{7},{9},{12}}=>[3,3,2,1,1,1,1] {{1,4},{2,3},{5,12},{6,7},{8,9},{10,11}}=>{{1,8},{2,3},{4,5},{6,7},{9,12},{10,11}}=>{{1,5},{2,4},{3},{6,8,10,12},{7},{9},{11}}=>[4,2,2,1,1,1,1] {{1,4},{2,3},{5,12},{6,7},{8,11},{9,10}}=>{{1,8},{2,5},{3,4},{6,7},{9,12},{10,11}}=>{{1,5},{2,4},{3},{6,8,12},{7},{9,11},{10}}=>[3,2,2,2,1,1,1] {{1,4},{2,3},{5,10},{6,9},{7,8},{11,12}}=>{{1,2},{3,8},{4,7},{5,6},{9,12},{10,11}}=>{{1,5,11},{2,4},{3},{6,10},{7,9},{8},{12}}=>[3,2,2,2,1,1,1] {{1,4},{2,3},{5,12},{6,9},{7,8},{10,11}}=>{{1,8},{2,3},{4,7},{5,6},{9,12},{10,11}}=>{{1,5},{2,4},{3},{6,10,12},{7,9},{8},{11}}=>[3,2,2,2,1,1,1] {{1,4},{2,3},{5,12},{6,11},{7,8},{9,10}}=>{{1,8},{2,7},{3,4},{5,6},{9,12},{10,11}}=>{{1,5},{2,4},{3},{6,12},{7,9,11},{8},{10}}=>[3,2,2,2,1,1,1] {{1,4},{2,3},{5,12},{6,11},{7,10},{8,9}}=>{{1,8},{2,7},{3,6},{4,5},{9,12},{10,11}}=>{{1,5},{2,4},{3},{6,12},{7,11},{8,10},{9}}=>[2,2,2,2,2,1,1] {{1,6},{2,3},{4,5},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,12},{8,9},{10,11}}=>{{1,7,9,11},{2,4,6},{3},{5},{8},{10},{12}}=>[4,3,1,1,1,1,1] {{1,6},{2,3},{4,5},{7,8},{9,12},{10,11}}=>{{1,4},{2,3},{5,6},{7,12},{8,9},{10,11}}=>{{1,7,9},{2,4,6},{3},{5},{8},{10,12},{11}}=>[3,3,2,1,1,1,1] {{1,6},{2,3},{4,5},{7,10},{8,9},{11,12}}=>{{1,2},{3,6},{4,5},{7,12},{8,9},{10,11}}=>{{1,7,11},{2,4,6},{3},{5},{8,10},{9},{12}}=>[3,3,2,1,1,1,1] {{1,6},{2,3},{4,5},{7,12},{8,9},{10,11}}=>{{1,6},{2,3},{4,5},{7,12},{8,9},{10,11}}=>{{1,7},{2,4,6},{3},{5},{8,10,12},{9},{11}}=>[3,3,2,1,1,1,1] {{1,6},{2,3},{4,5},{7,12},{8,11},{9,10}}=>{{1,6},{2,5},{3,4},{7,12},{8,9},{10,11}}=>{{1,7},{2,4,6},{3},{5},{8,12},{9,11},{10}}=>[3,2,2,2,1,1,1] {{1,8},{2,3},{4,5},{6,7},{9,10},{11,12}}=>{{1,2},{3,4},{5,12},{6,7},{8,9},{10,11}}=>{{1,9,11},{2,4,6,8},{3},{5},{7},{10},{12}}=>[4,3,1,1,1,1,1] {{1,8},{2,3},{4,5},{6,7},{9,12},{10,11}}=>{{1,4},{2,3},{5,12},{6,7},{8,9},{10,11}}=>{{1,9},{2,4,6,8},{3},{5},{7},{10,12},{11}}=>[4,2,2,1,1,1,1] {{1,10},{2,3},{4,5},{6,7},{8,9},{11,12}}=>{{1,2},{3,12},{4,5},{6,7},{8,9},{10,11}}=>{{1,11},{2,4,6,8,10},{3},{5},{7},{9},{12}}=>[5,2,1,1,1,1,1] {{1,12},{2,3},{4,5},{6,7},{8,9},{10,11}}=>{{1,12},{2,3},{4,5},{6,7},{8,9},{10,11}}=>{{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}}=>[6,1,1,1,1,1,1] {{1,12},{2,3},{4,5},{6,7},{8,11},{9,10}}=>{{1,12},{2,5},{3,4},{6,7},{8,9},{10,11}}=>{{1},{2,4,6,8,12},{3},{5},{7},{9,11},{10}}=>[5,2,1,1,1,1,1] {{1,10},{2,3},{4,5},{6,9},{7,8},{11,12}}=>{{1,2},{3,12},{4,7},{5,6},{8,9},{10,11}}=>{{1,11},{2,4,6,10},{3},{5},{7,9},{8},{12}}=>[4,2,2,1,1,1,1] {{1,12},{2,3},{4,5},{6,9},{7,8},{10,11}}=>{{1,12},{2,3},{4,7},{5,6},{8,9},{10,11}}=>{{1},{2,4,6,10,12},{3},{5},{7,9},{8},{11}}=>[5,2,1,1,1,1,1] {{1,12},{2,3},{4,5},{6,11},{7,8},{9,10}}=>{{1,12},{2,7},{3,4},{5,6},{8,9},{10,11}}=>{{1},{2,4,6,12},{3},{5},{7,9,11},{8},{10}}=>[4,3,1,1,1,1,1] {{1,12},{2,3},{4,5},{6,11},{7,10},{8,9}}=>{{1,12},{2,7},{3,6},{4,5},{8,9},{10,11}}=>{{1},{2,4,6,12},{3},{5},{7,11},{8,10},{9}}=>[4,2,2,1,1,1,1] {{1,8},{2,3},{4,7},{5,6},{9,10},{11,12}}=>{{1,2},{3,4},{5,12},{6,9},{7,8},{10,11}}=>{{1,9,11},{2,4,8},{3},{5,7},{6},{10},{12}}=>[3,3,2,1,1,1,1] {{1,8},{2,3},{4,7},{5,6},{9,12},{10,11}}=>{{1,4},{2,3},{5,12},{6,9},{7,8},{10,11}}=>{{1,9},{2,4,8},{3},{5,7},{6},{10,12},{11}}=>[3,2,2,2,1,1,1] {{1,10},{2,3},{4,7},{5,6},{8,9},{11,12}}=>{{1,2},{3,12},{4,5},{6,9},{7,8},{10,11}}=>{{1,11},{2,4,8,10},{3},{5,7},{6},{9},{12}}=>[4,2,2,1,1,1,1] {{1,12},{2,3},{4,7},{5,6},{8,9},{10,11}}=>{{1,12},{2,3},{4,5},{6,9},{7,8},{10,11}}=>{{1},{2,4,8,10,12},{3},{5,7},{6},{9},{11}}=>[5,2,1,1,1,1,1] {{1,12},{2,3},{4,7},{5,6},{8,11},{9,10}}=>{{1,12},{2,5},{3,4},{6,9},{7,8},{10,11}}=>{{1},{2,4,8,12},{3},{5,7},{6},{9,11},{10}}=>[4,2,2,1,1,1,1] {{1,10},{2,3},{4,9},{5,6},{7,8},{11,12}}=>{{1,2},{3,12},{4,9},{5,6},{7,8},{10,11}}=>{{1,11},{2,4,10},{3},{5,7,9},{6},{8},{12}}=>[3,3,2,1,1,1,1] {{1,12},{2,3},{4,9},{5,6},{7,8},{10,11}}=>{{1,12},{2,3},{4,9},{5,6},{7,8},{10,11}}=>{{1},{2,4,10,12},{3},{5,7,9},{6},{8},{11}}=>[4,3,1,1,1,1,1] {{1,12},{2,3},{4,11},{5,6},{7,8},{9,10}}=>{{1,12},{2,9},{3,4},{5,6},{7,8},{10,11}}=>{{1},{2,4,12},{3},{5,7,9,11},{6},{8},{10}}=>[4,3,1,1,1,1,1] {{1,12},{2,3},{4,11},{5,6},{7,10},{8,9}}=>{{1,12},{2,9},{3,6},{4,5},{7,8},{10,11}}=>{{1},{2,4,12},{3},{5,7,11},{6},{8,10},{9}}=>[3,3,2,1,1,1,1] {{1,10},{2,3},{4,9},{5,8},{6,7},{11,12}}=>{{1,2},{3,12},{4,9},{5,8},{6,7},{10,11}}=>{{1,11},{2,4,10},{3},{5,9},{6,8},{7},{12}}=>[3,2,2,2,1,1,1] {{1,12},{2,3},{4,9},{5,8},{6,7},{10,11}}=>{{1,12},{2,3},{4,9},{5,8},{6,7},{10,11}}=>{{1},{2,4,10,12},{3},{5,9},{6,8},{7},{11}}=>[4,2,2,1,1,1,1] {{1,12},{2,3},{4,11},{5,8},{6,7},{9,10}}=>{{1,12},{2,9},{3,4},{5,8},{6,7},{10,11}}=>{{1},{2,4,12},{3},{5,9,11},{6,8},{7},{10}}=>[3,3,2,1,1,1,1] {{1,12},{2,3},{4,11},{5,10},{6,7},{8,9}}=>{{1,12},{2,9},{3,8},{4,5},{6,7},{10,11}}=>{{1},{2,4,12},{3},{5,11},{6,8,10},{7},{9}}=>[3,3,2,1,1,1,1] {{1,12},{2,3},{4,11},{5,10},{6,9},{7,8}}=>{{1,12},{2,9},{3,8},{4,7},{5,6},{10,11}}=>{{1},{2,4,12},{3},{5,11},{6,10},{7,9},{8}}=>[3,2,2,2,1,1,1] {{1,6},{2,5},{3,4},{7,8},{9,10},{11,12}}=>{{1,2},{3,4},{5,6},{7,12},{8,11},{9,10}}=>{{1,7,9,11},{2,6},{3,5},{4},{8},{10},{12}}=>[4,2,2,1,1,1,1] {{1,6},{2,5},{3,4},{7,8},{9,12},{10,11}}=>{{1,4},{2,3},{5,6},{7,12},{8,11},{9,10}}=>{{1,7,9},{2,6},{3,5},{4},{8},{10,12},{11}}=>[3,2,2,2,1,1,1] {{1,6},{2,5},{3,4},{7,10},{8,9},{11,12}}=>{{1,2},{3,6},{4,5},{7,12},{8,11},{9,10}}=>{{1,7,11},{2,6},{3,5},{4},{8,10},{9},{12}}=>[3,2,2,2,1,1,1] {{1,6},{2,5},{3,4},{7,12},{8,9},{10,11}}=>{{1,6},{2,3},{4,5},{7,12},{8,11},{9,10}}=>{{1,7},{2,6},{3,5},{4},{8,10,12},{9},{11}}=>[3,2,2,2,1,1,1] {{1,6},{2,5},{3,4},{7,12},{8,11},{9,10}}=>{{1,6},{2,5},{3,4},{7,12},{8,11},{9,10}}=>{{1,7},{2,6},{3,5},{4},{8,12},{9,11},{10}}=>[2,2,2,2,2,1,1] {{1,8},{2,5},{3,4},{6,7},{9,10},{11,12}}=>{{1,2},{3,4},{5,12},{6,7},{8,11},{9,10}}=>{{1,9,11},{2,6,8},{3,5},{4},{7},{10},{12}}=>[3,3,2,1,1,1,1] {{1,8},{2,5},{3,4},{6,7},{9,12},{10,11}}=>{{1,4},{2,3},{5,12},{6,7},{8,11},{9,10}}=>{{1,9},{2,6,8},{3,5},{4},{7},{10,12},{11}}=>[3,2,2,2,1,1,1] {{1,10},{2,5},{3,4},{6,7},{8,9},{11,12}}=>{{1,2},{3,12},{4,5},{6,7},{8,11},{9,10}}=>{{1,11},{2,6,8,10},{3,5},{4},{7},{9},{12}}=>[4,2,2,1,1,1,1] {{1,12},{2,5},{3,4},{6,7},{8,9},{10,11}}=>{{1,12},{2,3},{4,5},{6,7},{8,11},{9,10}}=>{{1},{2,6,8,10,12},{3,5},{4},{7},{9},{11}}=>[5,2,1,1,1,1,1] {{1,12},{2,5},{3,4},{6,7},{8,11},{9,10}}=>{{1,12},{2,5},{3,4},{6,7},{8,11},{9,10}}=>{{1},{2,6,8,12},{3,5},{4},{7},{9,11},{10}}=>[4,2,2,1,1,1,1] {{1,10},{2,5},{3,4},{6,9},{7,8},{11,12}}=>{{1,2},{3,12},{4,7},{5,6},{8,11},{9,10}}=>{{1,11},{2,6,10},{3,5},{4},{7,9},{8},{12}}=>[3,2,2,2,1,1,1] {{1,12},{2,5},{3,4},{6,9},{7,8},{10,11}}=>{{1,12},{2,3},{4,7},{5,6},{8,11},{9,10}}=>{{1},{2,6,10,12},{3,5},{4},{7,9},{8},{11}}=>[4,2,2,1,1,1,1] {{1,12},{2,5},{3,4},{6,11},{7,8},{9,10}}=>{{1,12},{2,7},{3,4},{5,6},{8,11},{9,10}}=>{{1},{2,6,12},{3,5},{4},{7,9,11},{8},{10}}=>[3,3,2,1,1,1,1] {{1,12},{2,5},{3,4},{6,11},{7,10},{8,9}}=>{{1,12},{2,7},{3,6},{4,5},{8,11},{9,10}}=>{{1},{2,6,12},{3,5},{4},{7,11},{8,10},{9}}=>[3,2,2,2,1,1,1] {{1,8},{2,7},{3,4},{5,6},{9,10},{11,12}}=>{{1,2},{3,4},{5,12},{6,11},{7,8},{9,10}}=>{{1,9,11},{2,8},{3,5,7},{4},{6},{10},{12}}=>[3,3,2,1,1,1,1] {{1,8},{2,7},{3,4},{5,6},{9,12},{10,11}}=>{{1,4},{2,3},{5,12},{6,11},{7,8},{9,10}}=>{{1,9},{2,8},{3,5,7},{4},{6},{10,12},{11}}=>[3,2,2,2,1,1,1] {{1,10},{2,7},{3,4},{5,6},{8,9},{11,12}}=>{{1,2},{3,12},{4,5},{6,11},{7,8},{9,10}}=>{{1,11},{2,8,10},{3,5,7},{4},{6},{9},{12}}=>[3,3,2,1,1,1,1] {{1,12},{2,7},{3,4},{5,6},{8,9},{10,11}}=>{{1,12},{2,3},{4,5},{6,11},{7,8},{9,10}}=>{{1},{2,8,10,12},{3,5,7},{4},{6},{9},{11}}=>[4,3,1,1,1,1,1] {{1,12},{2,7},{3,4},{5,6},{8,11},{9,10}}=>{{1,12},{2,5},{3,4},{6,11},{7,8},{9,10}}=>{{1},{2,8,12},{3,5,7},{4},{6},{9,11},{10}}=>[3,3,2,1,1,1,1] {{1,10},{2,9},{3,4},{5,6},{7,8},{11,12}}=>{{1,2},{3,12},{4,11},{5,6},{7,8},{9,10}}=>{{1,11},{2,10},{3,5,7,9},{4},{6},{8},{12}}=>[4,2,2,1,1,1,1] {{1,12},{2,9},{3,4},{5,6},{7,8},{10,11}}=>{{1,12},{2,3},{4,11},{5,6},{7,8},{9,10}}=>{{1},{2,10,12},{3,5,7,9},{4},{6},{8},{11}}=>[4,3,1,1,1,1,1] {{1,12},{2,11},{3,4},{5,6},{7,8},{9,10}}=>{{1,12},{2,11},{3,4},{5,6},{7,8},{9,10}}=>{{1},{2,12},{3,5,7,9,11},{4},{6},{8},{10}}=>[5,2,1,1,1,1,1] {{1,12},{2,11},{3,4},{5,6},{7,10},{8,9}}=>{{1,12},{2,11},{3,6},{4,5},{7,8},{9,10}}=>{{1},{2,12},{3,5,7,11},{4},{6},{8,10},{9}}=>[4,2,2,1,1,1,1] {{1,10},{2,9},{3,4},{5,8},{6,7},{11,12}}=>{{1,2},{3,12},{4,11},{5,8},{6,7},{9,10}}=>{{1,11},{2,10},{3,5,9},{4},{6,8},{7},{12}}=>[3,2,2,2,1,1,1] {{1,12},{2,9},{3,4},{5,8},{6,7},{10,11}}=>{{1,12},{2,3},{4,11},{5,8},{6,7},{9,10}}=>{{1},{2,10,12},{3,5,9},{4},{6,8},{7},{11}}=>[3,3,2,1,1,1,1] {{1,12},{2,11},{3,4},{5,8},{6,7},{9,10}}=>{{1,12},{2,11},{3,4},{5,8},{6,7},{9,10}}=>{{1},{2,12},{3,5,9,11},{4},{6,8},{7},{10}}=>[4,2,2,1,1,1,1] {{1,12},{2,11},{3,4},{5,10},{6,7},{8,9}}=>{{1,12},{2,11},{3,8},{4,5},{6,7},{9,10}}=>{{1},{2,12},{3,5,11},{4},{6,8,10},{7},{9}}=>[3,3,2,1,1,1,1] {{1,12},{2,11},{3,4},{5,10},{6,9},{7,8}}=>{{1,12},{2,11},{3,8},{4,7},{5,6},{9,10}}=>{{1},{2,12},{3,5,11},{4},{6,10},{7,9},{8}}=>[3,2,2,2,1,1,1] {{1,8},{2,7},{3,6},{4,5},{9,10},{11,12}}=>{{1,2},{3,4},{5,12},{6,11},{7,10},{8,9}}=>{{1,9,11},{2,8},{3,7},{4,6},{5},{10},{12}}=>[3,2,2,2,1,1,1] {{1,8},{2,7},{3,6},{4,5},{9,12},{10,11}}=>{{1,4},{2,3},{5,12},{6,11},{7,10},{8,9}}=>{{1,9},{2,8},{3,7},{4,6},{5},{10,12},{11}}=>[2,2,2,2,2,1,1] {{1,10},{2,7},{3,6},{4,5},{8,9},{11,12}}=>{{1,2},{3,12},{4,5},{6,11},{7,10},{8,9}}=>{{1,11},{2,8,10},{3,7},{4,6},{5},{9},{12}}=>[3,2,2,2,1,1,1] {{1,12},{2,7},{3,6},{4,5},{8,9},{10,11}}=>{{1,12},{2,3},{4,5},{6,11},{7,10},{8,9}}=>{{1},{2,8,10,12},{3,7},{4,6},{5},{9},{11}}=>[4,2,2,1,1,1,1] {{1,12},{2,7},{3,6},{4,5},{8,11},{9,10}}=>{{1,12},{2,5},{3,4},{6,11},{7,10},{8,9}}=>{{1},{2,8,12},{3,7},{4,6},{5},{9,11},{10}}=>[3,2,2,2,1,1,1] {{1,10},{2,9},{3,6},{4,5},{7,8},{11,12}}=>{{1,2},{3,12},{4,11},{5,6},{7,10},{8,9}}=>{{1,11},{2,10},{3,7,9},{4,6},{5},{8},{12}}=>[3,2,2,2,1,1,1] {{1,12},{2,9},{3,6},{4,5},{7,8},{10,11}}=>{{1,12},{2,3},{4,11},{5,6},{7,10},{8,9}}=>{{1},{2,10,12},{3,7,9},{4,6},{5},{8},{11}}=>[3,3,2,1,1,1,1] {{1,12},{2,11},{3,6},{4,5},{7,8},{9,10}}=>{{1,12},{2,11},{3,4},{5,6},{7,10},{8,9}}=>{{1},{2,12},{3,7,9,11},{4,6},{5},{8},{10}}=>[4,2,2,1,1,1,1] {{1,12},{2,11},{3,6},{4,5},{7,10},{8,9}}=>{{1,12},{2,11},{3,6},{4,5},{7,10},{8,9}}=>{{1},{2,12},{3,7,11},{4,6},{5},{8,10},{9}}=>[3,2,2,2,1,1,1] {{1,10},{2,9},{3,8},{4,5},{6,7},{11,12}}=>{{1,2},{3,12},{4,11},{5,10},{6,7},{8,9}}=>{{1,11},{2,10},{3,9},{4,6,8},{5},{7},{12}}=>[3,2,2,2,1,1,1] {{1,12},{2,9},{3,8},{4,5},{6,7},{10,11}}=>{{1,12},{2,3},{4,11},{5,10},{6,7},{8,9}}=>{{1},{2,10,12},{3,9},{4,6,8},{5},{7},{11}}=>[3,3,2,1,1,1,1] {{1,12},{2,11},{3,8},{4,5},{6,7},{9,10}}=>{{1,12},{2,11},{3,4},{5,10},{6,7},{8,9}}=>{{1},{2,12},{3,9,11},{4,6,8},{5},{7},{10}}=>[3,3,2,1,1,1,1] {{1,12},{2,11},{3,10},{4,5},{6,7},{8,9}}=>{{1,12},{2,11},{3,10},{4,5},{6,7},{8,9}}=>{{1},{2,12},{3,11},{4,6,8,10},{5},{7},{9}}=>[4,2,2,1,1,1,1] {{1,12},{2,11},{3,10},{4,5},{6,9},{7,8}}=>{{1,12},{2,11},{3,10},{4,7},{5,6},{8,9}}=>{{1},{2,12},{3,11},{4,6,10},{5},{7,9},{8}}=>[3,2,2,2,1,1,1] {{1,10},{2,9},{3,8},{4,7},{5,6},{11,12}}=>{{1,2},{3,12},{4,11},{5,10},{6,9},{7,8}}=>{{1,11},{2,10},{3,9},{4,8},{5,7},{6},{12}}=>[2,2,2,2,2,1,1] {{1,12},{2,9},{3,8},{4,7},{5,6},{10,11}}=>{{1,12},{2,3},{4,11},{5,10},{6,9},{7,8}}=>{{1},{2,10,12},{3,9},{4,8},{5,7},{6},{11}}=>[3,2,2,2,1,1,1] {{1,12},{2,11},{3,8},{4,7},{5,6},{9,10}}=>{{1,12},{2,11},{3,4},{5,10},{6,9},{7,8}}=>{{1},{2,12},{3,9,11},{4,8},{5,7},{6},{10}}=>[3,2,2,2,1,1,1] {{1,12},{2,11},{3,10},{4,7},{5,6},{8,9}}=>{{1,12},{2,11},{3,10},{4,5},{6,9},{7,8}}=>{{1},{2,12},{3,11},{4,8,10},{5,7},{6},{9}}=>[3,2,2,2,1,1,1] {{1,12},{2,11},{3,10},{4,9},{5,6},{7,8}}=>{{1,12},{2,11},{3,10},{4,9},{5,6},{7,8}}=>{{1},{2,12},{3,11},{4,10},{5,7,9},{6},{8}}=>[3,2,2,2,1,1,1] {{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}=>{{1,12},{2,11},{3,10},{4,9},{5,8},{6,7}}=>{{1},{2,12},{3,11},{4,10},{5,9},{6,8},{7}}=>[2,2,2,2,2,1,1] {{1,3,6},{2,5},{4},{7,8}}=>{{1,2},{3,6,8},{4,7},{5}}=>{{1,7},{2,4,5},{3,6},{8}}=>[3,2,2,1] {{1,5},{2,4,6},{3},{7,8}}=>{{1,2},{3,5,7},{4,8},{6}}=>{{1,5,7},{2,6},{3,4},{8}}=>[3,2,2,1] {{1,4,5},{2,6},{3},{7,8}}=>{{1,2},{3,7},{4,5,8},{6}}=>{{1,3,4,7},{2,6},{5},{8}}=>[4,2,1,1] {{1,5,8},{2,7},{3,4},{6}}=>{{1,4,8},{2,7},{3},{5,6}}=>{{1},{2,6,7},{3,5,8},{4}}=>[3,3,1,1] {{1,4,5},{2,8},{3},{6,7}}=>{{1,7},{2,3},{4,5,8},{6}}=>{{1,3,4},{2,6,8},{5},{7}}=>[3,3,1,1] {{1,6,7},{2,8},{3,5},{4}}=>{{1,7},{2,3,8},{4,6},{5}}=>{{1,3,6},{2,8},{4,5},{7}}=>[3,2,2,1] {{1,6},{2,8},{3},{4,5,7}}=>{{1,7},{2,4,5},{3,8},{6}}=>{{1,6},{2,8},{3,4,7},{5}}=>[3,2,2,1] {{1,6},{2,5,8},{3},{4,7}}=>{{1,4,7},{2,5},{3,8},{6}}=>{{1,6},{2,5,8},{3,4,7}}=>[3,3,2] {{1,6},{2,4,5,8},{3},{7}}=>{{1,4,5,7},{2},{3,8},{6}}=>{{1,6},{2,7,8},{3,4},{5}}=>[3,2,2,1] {{1,5},{2,7},{3},{4,6,8}}=>{{1,3,5},{2,7},{4,8},{6}}=>{{1,5},{2,7},{3,4,6,8}}=>[4,2,2] {{1,7},{2,5},{3,6,8},{4}}=>{{1,3,6},{2,8},{4,7},{5}}=>{{1,7},{2,4,5},{3,6,8}}=>[3,3,2] {{1,8},{2,6},{3,5,7},{4}}=>{{1,8},{2,4,6},{3,7},{5}}=>{{1},{2,6,8},{3,7},{4,5}}=>[3,2,2,1] {{1,5,8},{2,3},{4,7},{6}}=>{{1,4,8},{2,5},{3},{6,7}}=>{{1},{2,4,6,7},{3},{5,8}}=>[4,2,1,1] {{1,7},{2,3},{4,6,8},{5}}=>{{1,3,5},{2,8},{4},{6,7}}=>{{1,7},{2,4,8},{3},{5,6}}=>[3,2,2,1] {{1,6,7},{2,3},{4,8},{5}}=>{{1,5},{2,3,8},{4},{6,7}}=>{{1,5,6},{2,4,8},{3},{7}}=>[3,3,1,1] {{1,8},{2,5,6},{3,7},{4}}=>{{1,8},{2,6},{3,4,7},{5}}=>{{1},{2,4,5,8},{3,7},{6}}=>[4,2,1,1] {{1,3,8},{2,6},{4},{5,7}}=>{{1,6,8},{2,4},{3,7},{5}}=>{{1},{2,6},{3,8},{4,5,7}}=>[3,2,2,1] {{1,6,7},{2,5},{3,8},{4}}=>{{1,6},{2,3,8},{4,7},{5}}=>{{1,6},{2,4,5},{3,8},{7}}=>[3,2,2,1] {{1,5},{2,6,7},{3},{4,8}}=>{{1,5},{2,3,7},{4,8},{6}}=>{{1,5},{2,6},{3,4,8},{7}}=>[3,2,2,1] {{1,3,8},{2,7},{4,5},{6}}=>{{1,6,8},{2,7},{3},{4,5}}=>{{1},{2,4,6,7},{3,8},{5}}=>[4,2,1,1] {{1,5,6},{2,4,8},{3},{7}}=>{{1,5,7},{2},{3,4,8},{6}}=>{{1,5},{2,7,8},{3,4},{6}}=>[3,2,2,1] {{1,5,6},{2,8},{3},{4,7}}=>{{1,7},{2,5},{3,4,8},{6}}=>{{1,5},{2,8},{3,4,7},{6}}=>[3,2,2,1] {{1,5,7},{2},{3,6,8},{4}}=>{{1,3,6},{2,4,8},{5},{7}}=>{{1,4,5,7},{2,3,6,8}}=>[4,4] {{1,5},{2},{3,6,8},{4,7}}=>{{1,3,6},{2,5},{4,8},{7}}=>{{1,5},{2,3,6,8},{4,7}}=>[4,2,2] {{1,6,8},{2,5},{3},{4,7}}=>{{1,3,8},{2,5},{4,7},{6}}=>{{1},{2,5},{3,4,7},{6,8}}=>[3,2,2,1] {{1,5},{2,6,8},{3},{4,7}}=>{{1,3,7},{2,5},{4,8},{6}}=>{{1,5},{2,6,8},{3,4,7}}=>[3,3,2] {{1,5,7},{2,6},{3},{4,8}}=>{{1,5},{2,4,8},{3,7},{6}}=>{{1,5,7},{2,6},{3,4,8}}=>[3,3,2] {{1,6},{2,5,7},{3},{4,8}}=>{{1,5},{2,4,7},{3,8},{6}}=>{{1,6},{2,5,7},{3,4,8}}=>[3,3,2] {{1,5,7},{2},{3,6},{4,8}}=>{{1,5},{2,4,8},{3,6},{7}}=>{{1,5,7},{2,3,6},{4,8}}=>[3,3,2] {{1,5,7},{2},{3,8},{4,6}}=>{{1,6},{2,4,8},{3,5},{7}}=>{{1,5,7},{2,3,8},{4,6}}=>[3,3,2] {{1,5,6},{2},{3,7},{4,8}}=>{{1,5},{2,6},{3,4,8},{7}}=>{{1,5},{2,3,7},{4,8},{6}}=>[3,2,2,1] {{1,5,8},{2,6},{3},{4,7}}=>{{1,4,8},{2,5},{3,7},{6}}=>{{1},{2,6},{3,4,7},{5,8}}=>[3,2,2,1] {{1,7},{2,5,8},{3,6},{4}}=>{{1,4,7},{2,8},{3,6},{5}}=>{{1,7},{2,4,5,8},{3,6}}=>[4,2,2] {{1,7},{2,5,8},{3},{4,6}}=>{{1,4,7},{2,8},{3,5},{6}}=>{{1,7},{2,5,8},{3,4,6}}=>[3,3,2] {{1,7},{2,5,6},{3},{4,8}}=>{{1,5},{2,8},{3,4,7},{6}}=>{{1,7},{2,5},{3,4,8},{6}}=>[3,2,2,1] {{1,6,7},{2,5},{3},{4,8}}=>{{1,5},{2,3,8},{4,7},{6}}=>{{1,6},{2,5},{3,4,8},{7}}=>[3,2,2,1] {{1,6},{2,5},{3},{4,7,8}}=>{{1,2,5},{3,8},{4,7},{6}}=>{{1,6},{2,5},{3,4,7},{8}}=>[3,2,2,1] {{1,5,6},{2,7},{3},{4,8}}=>{{1,5},{2,7},{3,4,8},{6}}=>{{1,5},{2,7},{3,4,8},{6}}=>[3,2,2,1] {{1,5,8},{2,7},{3},{4,6}}=>{{1,4,8},{2,7},{3,5},{6}}=>{{1},{2,7},{3,4,6},{5,8}}=>[3,2,2,1] {{1,6},{2,5,8},{3,7},{4}}=>{{1,4,7},{2,6},{3,8},{5}}=>{{1,6},{2,4,5,8},{3,7}}=>[4,2,2] {{1,5,6},{2,8},{3,7},{4}}=>{{1,7},{2,6},{3,4,8},{5}}=>{{1,4,5},{2,8},{3,7},{6}}=>[3,2,2,1] {{1,5},{2,8},{3,6,7},{4}}=>{{1,7},{2,3,6},{4,8},{5}}=>{{1,4,5},{2,8},{3,6},{7}}=>[3,2,2,1] {{1,5},{2,7,8},{3,6},{4}}=>{{1,2,7},{3,6},{4,8},{5}}=>{{1,4,5},{2,7},{3,6},{8}}=>[3,2,2,1] {{1,8},{2,5},{3,6,7},{4}}=>{{1,8},{2,3,6},{4,7},{5}}=>{{1},{2,4,5,8},{3,6},{7}}=>[4,2,1,1] {{1,8},{2,5,7},{3},{4,6}}=>{{1,8},{2,4,7},{3,5},{6}}=>{{1},{2,8},{3,4,6},{5,7}}=>[3,2,2,1] {{1,5,7},{2,8},{3,6},{4}}=>{{1,7},{2,4,8},{3,6},{5}}=>{{1,4,5,7},{2,8},{3,6}}=>[4,2,2] {{1,5},{2,7},{3,6,8},{4}}=>{{1,3,6},{2,7},{4,8},{5}}=>{{1,4,5},{2,7},{3,6,8}}=>[3,3,2] {{1,7},{2,5},{3},{4,6,8}}=>{{1,3,5},{2,8},{4,7},{6}}=>{{1,7},{2,5},{3,4,6,8}}=>[4,2,2] {{1,6,8},{2,5},{3,7},{4}}=>{{1,3,8},{2,6},{4,7},{5}}=>{{1},{2,4,5},{3,7},{6,8}}=>[3,2,2,1] {{1,5},{2,6,8},{3,7},{4}}=>{{1,3,7},{2,6},{4,8},{5}}=>{{1,4,5},{2,6,8},{3,7}}=>[3,3,2] {{1,6},{2,5,7},{3,8},{4}}=>{{1,6},{2,4,7},{3,8},{5}}=>{{1,6},{2,4,5,7},{3,8}}=>[4,2,2] {{1,5,7},{2,8},{3},{4,6}}=>{{1,7},{2,4,8},{3,5},{6}}=>{{1,5,7},{2,8},{3,4,6}}=>[3,3,2] {{1,5},{2,8},{3},{4,6,7}}=>{{1,7},{2,3,5},{4,8},{6}}=>{{1,5},{2,8},{3,4,6},{7}}=>[3,2,2,1] {{1,6},{2,7,8},{3,5},{4}}=>{{1,2,7},{3,8},{4,6},{5}}=>{{1,3,6},{2,7},{4,5},{8}}=>[3,2,2,1] {{1,7},{2,8},{3,5,6},{4}}=>{{1,7},{2,8},{3,4,6},{5}}=>{{1,3,7},{2,8},{4,5},{6}}=>[3,2,2,1] {{1,7},{2,5,6},{3,8},{4}}=>{{1,6},{2,8},{3,4,7},{5}}=>{{1,7},{2,4,5},{3,8},{6}}=>[3,2,2,1] {{1,5},{2,6,7},{3,8},{4}}=>{{1,6},{2,3,7},{4,8},{5}}=>{{1,4,5},{2,6},{3,8},{7}}=>[3,2,2,1] {{1,3,8},{2,4,6},{5},{7}}=>{{1,6,8},{2},{3,5,7},{4}}=>{{1},{2,4},{3,7,8},{5,6}}=>[3,2,2,1] {{1,8},{2,3,5},{4,6},{7}}=>{{1,8},{2},{3,5},{4,6,7}}=>{{1},{2,5,7,8},{3},{4,6}}=>[4,2,1,1] {{1,8},{2,4,6},{3,5},{7}}=>{{1,8},{2},{3,5,7},{4,6}}=>{{1},{2,7,8},{3,5},{4,6}}=>[3,2,2,1] {{1,7},{2,8},{3,4,5},{6}}=>{{1,7},{2,8},{3},{4,5,6}}=>{{1,3,6,7},{2,8},{4},{5}}=>[4,2,1,1] {{1,2,7},{3,8},{4,5},{6}}=>{{1,6},{2,7,8},{3},{4,5}}=>{{1,4,6,7},{2},{3,8},{5}}=>[4,2,1,1] {{1,3,5},{2},{4,6},{7,8}}=>{{1,2},{3,5},{4,6,8},{7}}=>{{1,5,7},{2,3},{4,6},{8}}=>[3,2,2,1] {{1,3,6},{2},{4,7,8},{5}}=>{{1,2,5},{3,6,8},{4},{7}}=>{{1,5,6},{2,3},{4,7},{8}}=>[3,2,2,1] {{1,6},{2},{3,7,8},{4,5}}=>{{1,2,6},{3,8},{4,5},{7}}=>{{1,4,6},{2,3,7},{5},{8}}=>[3,3,1,1] {{1,6,7},{2},{3,8},{4,5}}=>{{1,6},{2,3,8},{4,5},{7}}=>{{1,4,6},{2,3,8},{5},{7}}=>[3,3,1,1] {{1,3,6,7},{2},{4,8},{5}}=>{{1,5},{2,3,6,8},{4},{7}}=>{{1,5,6},{2,3},{4,8},{7}}=>[3,2,2,1] {{1,4,8},{2},{3,6,7},{5}}=>{{1,5,8},{2,3,6},{4},{7}}=>{{1},{2,3,5,6},{4,8},{7}}=>[4,2,1,1] {{1,5,6},{2},{3,4,8},{7}}=>{{1,5,6},{2},{3,4,8},{7}}=>{{1,5},{2,3,7,8},{4},{6}}=>[4,2,1,1] {{1,6},{2},{3,5,7,8},{4}}=>{{1,2,4,6},{3,8},{5},{7}}=>{{1,6},{2,3,7},{4,5},{8}}=>[3,2,2,1] {{1,4},{2,6,8},{3},{5,7}}=>{{1,3,7},{2,4},{5,8},{6}}=>{{1,3,4},{2,6,8},{5,7}}=>[3,3,2] {{1,8},{2,4,6},{3},{5,7}}=>{{1,8},{2,4},{3,5,7},{6}}=>{{1},{2,6,8},{3,4},{5,7}}=>[3,2,2,1] {{1,7},{2},{3,6,8},{4,5}}=>{{1,3,6},{2,8},{4,5},{7}}=>{{1,7},{2,3,8},{4,6},{5}}=>[3,2,2,1] {{1,6,8},{2},{3,5,7},{4}}=>{{1,3,8},{2,4,6},{5},{7}}=>{{1},{2,3,7},{4,5},{6,8}}=>[3,2,2,1] {{1,2},{3,5,7},{4},{6,8}}=>{{1,3},{2,4,6},{5},{7,8}}=>{{1,3,7},{2},{4,5},{6,8}}=>[3,2,2,1] {{1,5,8},{2},{3,4,7},{6}}=>{{1,4,8},{2,5,6},{3},{7}}=>{{1},{2,3,6,7},{4},{5,8}}=>[4,2,1,1] {{1,2},{3,4,7},{5},{6,8}}=>{{1,3},{2,5,6},{4},{7,8}}=>{{1,3,7},{2},{4},{5,6,8}}=>[3,3,1,1] {{1,2,5},{3},{4,7},{6,8}}=>{{1,3},{2,5},{4,7,8},{6}}=>{{1,5},{2},{3,4,7},{6,8}}=>[3,2,2,1] {{1,2,5,8},{3},{4,7},{6}}=>{{1,4,7,8},{2,5},{3},{6}}=>{{1},{2},{3,4,6,7},{5,8}}=>[4,2,1,1] {{1,2},{3,4,7},{5,8},{6}}=>{{1,4},{2,5,6},{3},{7,8}}=>{{1,3,6,7},{2},{4},{5,8}}=>[4,2,1,1] {{1,2},{3,5},{4,6,8},{7}}=>{{1,3,5},{2},{4,6},{7,8}}=>{{1,3,5},{2},{4,6},{7,8}}=>[3,2,2,1] {{1,2,6},{3},{4,7},{5,8}}=>{{1,4},{2,5},{3,7,8},{6}}=>{{1,6},{2},{3,4,7},{5,8}}=>[3,2,2,1] {{1,3,7},{2,6},{4},{5,8}}=>{{1,4},{2,6,8},{3,7},{5}}=>{{1,3,7},{2,6},{4,5,8}}=>[3,3,2] {{1,2,6},{3,7},{4},{5,8}}=>{{1,4},{2,6},{3,7,8},{5}}=>{{1,6},{2},{3,7},{4,5,8}}=>[3,2,2,1] {{1,2,5},{3},{4,6,8},{7}}=>{{1,3,5},{2},{4,7,8},{6}}=>{{1,5},{2},{3,4,6},{7,8}}=>[3,2,2,1] {{1,3},{2,5,6},{4,8},{7}}=>{{1,5},{2},{3,4,7},{6,8}}=>{{1,3},{2,5},{4,7,8},{6}}=>[3,2,2,1] {{1,3},{2,8},{4,5,6},{7}}=>{{1,7},{2},{3,4,5},{6,8}}=>{{1,3},{2,4,7,8},{5},{6}}=>[4,2,1,1] {{1,3,5},{2,8},{4,6},{7}}=>{{1,7},{2},{3,5},{4,6,8}}=>{{1,3,5},{2,7,8},{4,6}}=>[3,3,2] {{1,2,6},{3,8},{4,5},{7}}=>{{1,6},{2},{3,7,8},{4,5}}=>{{1,4,6},{2},{3,7,8},{5}}=>[3,3,1,1] {{1,2,4,7},{3},{5,8},{6}}=>{{1,4},{2,5,7,8},{3},{6}}=>{{1,6,7},{2},{3,4},{5,8}}=>[3,2,2,1] {{1,2,7},{3,4},{5},{6,8}}=>{{1,3},{2,7,8},{4},{5,6}}=>{{1,7},{2},{3,5,6,8},{4}}=>[4,2,1,1] {{1,2,4,7},{3},{5},{6,8}}=>{{1,3},{2,5,7,8},{4},{6}}=>{{1,7},{2},{3,4},{5,6,8}}=>[3,2,2,1] {{1,2,4},{3},{5,7},{6,8}}=>{{1,3},{2,4},{5,7,8},{6}}=>{{1,5,7},{2},{3,4},{6,8}}=>[3,2,2,1] {{1,3},{2,4},{5,6,8},{7}}=>{{1,3,4},{2},{5,7},{6,8}}=>{{1,3,5},{2,4},{6},{7,8}}=>[3,2,2,1] {{1,7},{2,3,4},{5,8},{6}}=>{{1,4},{2,8},{3},{5,6,7}}=>{{1,6,7},{2,5,8},{3},{4}}=>[3,3,1,1] {{1,3},{2,4,6},{5},{7,8}}=>{{1,2},{3,5,7},{4},{6,8}}=>{{1,3,7},{2,4},{5,6},{8}}=>[3,2,2,1] {{1,3,4},{2,8},{5,6},{7}}=>{{1,7},{2},{3,4},{5,6,8}}=>{{1,3},{2,5,7,8},{4},{6}}=>[4,2,1,1] {{1,6},{2,3,4,8},{5},{7}}=>{{1,5,6,7},{2},{3,8},{4}}=>{{1,5,6},{2,7,8},{3},{4}}=>[3,3,1,1] {{1,4},{2,5,6},{3,8},{7}}=>{{1,6},{2},{3,4,7},{5,8}}=>{{1,4},{2,5},{3,7,8},{6}}=>[3,2,2,1] {{1,6},{2,8},{3,4,5},{7}}=>{{1,7},{2},{3,8},{4,5,6}}=>{{1,3,6},{2,7,8},{4},{5}}=>[3,3,1,1] {{1,2,5,7},{3},{4},{6,8}}=>{{1,3},{2,4,7,8},{5},{6}}=>{{1,7},{2},{3,4,5},{6,8}}=>[3,2,2,1] {{1,2,5,8},{3},{4,6},{7}}=>{{1,4,7,8},{2},{3,5},{6}}=>{{1},{2},{3,4,6},{5,7,8}}=>[3,3,1,1] {{1,3,6},{2,8},{4,5},{7}}=>{{1,7},{2},{3,6,8},{4,5}}=>{{1,3},{2,7,8},{4,6},{5}}=>[3,2,2,1] {{1,2},{3,5,8},{4,6},{7}}=>{{1,4,6},{2},{3,5},{7,8}}=>{{1,3},{2},{4,6},{5,7,8}}=>[3,2,2,1] {{1,2,7},{3,5},{4},{6,8}}=>{{1,3},{2,7,8},{4,6},{5}}=>{{1,7},{2},{3,6,8},{4,5}}=>[3,2,2,1] {{1,3,7},{2,4},{5},{6,8}}=>{{1,3},{2,6,8},{4},{5,7}}=>{{1,3,7},{2,4},{5,6,8}}=>[3,3,2] {{1},{2,3,4},{5,7},{6,8}}=>{{1,3},{2,4},{5,6,7},{8}}=>{{1,2,5,7},{3},{4},{6,8}}=>[4,2,1,1] {{1},{2,4,5},{3,7},{6,8}}=>{{1,3},{2,6},{4,5,7},{8}}=>{{1,2,4},{3,7},{5},{6,8}}=>[3,2,2,1] {{1},{2,3,5},{4,7},{6,8}}=>{{1,3},{2,5},{4,6,7},{8}}=>{{1,2,5},{3},{4,7},{6,8}}=>[3,2,2,1] {{1},{2,4,5},{3,6},{7,8}}=>{{1,2},{3,6},{4,5,7},{8}}=>{{1,2,4,7},{3,6},{5},{8}}=>[4,2,1,1] {{1,2,3,4,5},{6,7,8,9,10}}=>{{1,2,3,4,5},{6,7,8,9,10}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,4,6,7},{2,3,5,8}}=>{{1,4,6,7},{2,3,5,8}}=>{{1,4,6},{2,5,8},{3},{7}}=>[3,3,1,1] {{1,6},{2,4},{3,7,8},{5}}=>{{1,2,6},{3,8},{4},{5,7}}=>{{1,5,6},{2,4},{3,7},{8}}=>[3,2,2,1] {{1,5},{2,3},{4,6,7},{8}}=>{{1},{2,3,5},{4,8},{6,7}}=>{{1,5,8},{2,4,6},{3},{7}}=>[3,3,1,1] {{1,5},{2,3},{4,6,8},{7}}=>{{1,3,5},{2},{4,8},{6,7}}=>{{1,5},{2,4,6},{3},{7,8}}=>[3,2,2,1] {{1,5},{2,3},{4,7,8},{6}}=>{{1,2,5},{3},{4,8},{6,7}}=>{{1,5},{2,4,6,7},{3},{8}}=>[4,2,1,1] {{1,6},{2,4},{3,5,7,8}}=>{{1,2,4,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,5,7},{8}}=>[3,2,2,1] {{1,3,7},{2},{4,8},{5,6}}=>{{1,5},{2,6,8},{3,4},{7}}=>{{1,5,7},{2,3},{4,8},{6}}=>[3,2,2,1] {{1,3,6},{2},{4,7},{5},{8}}=>{{1},{2,5},{3,6,8},{4},{7}}=>{{1,5,6,8},{2,3},{4,7}}=>[4,2,2] {{1},{2,7},{3,4,5,8},{6}}=>{{1,4,5,6},{2,7},{3},{8}}=>{{1,2,6,7},{3,8},{4},{5}}=>[4,2,1,1] {{1,6},{2,3,4,7},{5},{8}}=>{{1},{2,5,6,7},{3,8},{4}}=>{{1,5,6,8},{2,7},{3},{4}}=>[4,2,1,1] {{1,5,8},{2,3,7},{4},{6}}=>{{1,4,8},{2,6,7},{3},{5}}=>{{1},{2,6,7},{3},{4,5,8}}=>[3,3,1,1] {{1},{2,5,8},{3,7},{4},{6}}=>{{1,4,7},{2,6},{3},{5},{8}}=>{{1,2},{3,6,7},{4,5,8}}=>[3,3,2] {{1,6},{2,4,7},{3,5},{8}}=>{{1},{2,5,7},{3,8},{4,6}}=>{{1,6,8},{2,4,7},{3,5}}=>[3,3,2] {{1,7},{2,5},{3,4,6},{8}}=>{{1},{2,8},{3,5,6},{4,7}}=>{{1,8},{2,5,7},{3,6},{4}}=>[3,2,2,1] {{1},{2,8},{3,6},{4,5,7}}=>{{1,7},{2,4,5},{3,6},{8}}=>{{1,2},{3,6,8},{4,7},{5}}=>[3,2,2,1] {{1,6},{2,3,7},{4,5},{8}}=>{{1},{2,6,7},{3,8},{4,5}}=>{{1,4,6,8},{2,7},{3},{5}}=>[4,2,1,1] {{1},{2,7},{3,4,8},{5,6}}=>{{1,5,6},{2,7},{3,4},{8}}=>{{1,2,5,7},{3,8},{4},{6}}=>[4,2,1,1] {{1,5},{2,6,8},{3,4},{7}}=>{{1,3,7},{2},{4,8},{5,6}}=>{{1,3,5},{2,6},{4},{7,8}}=>[3,2,2,1] {{1,5},{2,3,6,8},{4},{7}}=>{{1,3,6,7},{2},{4,8},{5}}=>{{1,4,5},{2,6},{3},{7,8}}=>[3,2,2,1] {{1},{2,5,6,7},{3,8},{4}}=>{{1,6},{2,3,4,7},{5},{8}}=>{{1,2,4,5},{3,8},{6},{7}}=>[4,2,1,1] {{1},{2,8},{3,5},{4,6,7}}=>{{1,7},{2,3,5},{4,6},{8}}=>{{1,2},{3,5,8},{4,6},{7}}=>[3,2,2,1] {{1},{2,6,7},{3,4,8},{5}}=>{{1,5,6},{2,3,7},{4},{8}}=>{{1,2,5,6},{3,8},{4},{7}}=>[4,2,1,1] {{1,5,6},{2,3,7},{4},{8}}=>{{1},{2,6,7},{3,4,8},{5}}=>{{1,4,5,8},{2,7},{3},{6}}=>[4,2,1,1] {{1},{2,6},{3,7},{4},{5},{8}}=>{{1},{2,6},{3,7},{4},{5},{8}}=>{{1,2,4,5,6,8},{3,7}}=>[6,2] {{1},{2,5,6},{3,4,7},{8}}=>{{1},{2,5,6},{3,4,7},{8}}=>{{1,2,5,8},{3,7},{4},{6}}=>[4,2,1,1] {{1,6,7},{2,3,8},{4},{5}}=>{{1,6,7},{2,3,8},{4},{5}}=>{{1,4,5,6},{2,8},{3},{7}}=>[4,2,1,1] {{1},{2,4,6},{3,5,7},{8}}=>{{1},{2,4,6},{3,5,7},{8}}=>{{1,2,4,6,8},{3,5,7}}=>[5,3] {{1},{2,3,5},{4,6,7},{8}}=>{{1},{2,3,5},{4,6,7},{8}}=>{{1,2,5,8},{3},{4,6},{7}}=>[4,2,1,1] {{1,4,6},{2},{3,5,8},{7}}=>{{1,4,6},{2},{3,5,8},{7}}=>{{1,4,6},{2,3,5,7,8}}=>[5,3] {{1},{2},{3,5},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,6},{7},{8}}=>{{1,2,3,5,7,8},{4,6}}=>[6,2] {{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2},{3},{4,8},{6},{7}}=>{{1,5},{2,3,4,6,7,8}}=>[6,2] {{1},{2,5},{3},{4,7},{6},{8}}=>{{1},{2,5},{3},{4,7},{6},{8}}=>{{1,2,5,8},{3,4,6,7}}=>[4,4] {{1,7},{2},{3,4},{5,6,8}}=>{{1,3,4},{2,8},{5,6},{7}}=>{{1,7},{2,3,5,8},{4},{6}}=>[4,2,1,1] {{1,6,8},{2},{3,4},{5,7}}=>{{1,3,8},{2,4},{5,6},{7}}=>{{1},{2,3,5,7},{4},{6,8}}=>[4,2,1,1] {{1,2,7},{3},{4,5,8},{6}}=>{{1,4,5},{2,7,8},{3},{6}}=>{{1,6,7},{2},{3,4,8},{5}}=>[3,3,1,1] {{1,6,7},{2},{3,4},{5,8}}=>{{1,4},{2,3,8},{5,6},{7}}=>{{1,6},{2,3,5,8},{4},{7}}=>[4,2,1,1] {{1,8},{2},{3,4,6},{5,7}}=>{{1,8},{2,4},{3,5,6},{7}}=>{{1},{2,3,6,8},{4},{5,7}}=>[4,2,1,1] {{1},{2,4,8},{3,7},{5,6}}=>{{1,5,7},{2,6},{3,4},{8}}=>{{1,2},{3,5,7},{4,8},{6}}=>[3,2,2,1] {{1,3,8},{2,7},{4},{5,6}}=>{{1,6,8},{2,7},{3,4},{5}}=>{{1},{2,4,5,7},{3,8},{6}}=>[4,2,1,1] {{1},{2,4},{3,7,8},{5,6}}=>{{1,2,6},{3,4},{5,7},{8}}=>{{1,2,4},{3,5,7},{6},{8}}=>[3,3,1,1] {{1},{2,6,8},{3,4},{5,7}}=>{{1,3,7},{2,4},{5,6},{8}}=>{{1,2},{3,5,7},{4},{6,8}}=>[3,2,2,1] {{1,6,8},{2,3},{4},{5,7}}=>{{1,3,8},{2,4},{5},{6,7}}=>{{1},{2,4,5,7},{3},{6,8}}=>[4,2,1,1] {{1},{2,6,7},{3,4},{5,8}}=>{{1,4},{2,3,7},{5,6},{8}}=>{{1,2,6},{3,5,8},{4},{7}}=>[3,3,1,1] {{1,3,6,8},{2},{4,7},{5}}=>{{1,3,6,8},{2,5},{4},{7}}=>{{1},{2,3},{4,7},{5,6,8}}=>[3,2,2,1] {{1,6,8},{2,4,7},{3},{5}}=>{{1,3,8},{2,5,7},{4},{6}}=>{{1},{2,7},{3,4},{5,6,8}}=>[3,2,2,1] {{1,4,5,7},{2},{3},{6,8}}=>{{1,3},{2,4,5,8},{6},{7}}=>{{1,7},{2,3,4},{5},{6,8}}=>[3,2,2,1] {{1,3,4},{2},{5,7},{6,8}}=>{{1,3},{2,4},{5,6,8},{7}}=>{{1,5,7},{2,3},{4},{6,8}}=>[3,2,2,1] {{1,5},{2,6,7,8},{3},{4}}=>{{1,2,3,7},{4,8},{5},{6}}=>{{1,3,4,5},{2,6},{7},{8}}=>[4,2,1,1] {{1,4,5,8},{2},{3,7},{6}}=>{{1,4,5,8},{2,6},{3},{7}}=>{{1},{2,3,6,7},{4,8},{5}}=>[4,2,1,1] {{1,4,5},{2},{3,7},{6,8}}=>{{1,3},{2,6},{4,5,8},{7}}=>{{1,4},{2,3,7},{5},{6,8}}=>[3,2,2,1] {{1},{2,4,7},{3,8},{5,6}}=>{{1,6},{2,5,7},{3,4},{8}}=>{{1,2,4},{3,8},{5,7},{6}}=>[3,2,2,1] {{1,6},{2,3,8},{4},{5,7}}=>{{1,6,7},{2,4},{3,8},{5}}=>{{1,6},{2,8},{3},{4,5,7}}=>[3,2,2,1] {{1},{2,3},{4,5,7},{6,8}}=>{{1,3},{2,4,5},{6,7},{8}}=>{{1,2,4,7},{3},{5},{6,8}}=>[4,2,1,1] {{1},{2,3},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6,7},{8}}=>{{1,2,4},{3},{5,7},{6,8}}=>[3,2,2,1] {{1},{2,3,5,6},{4,7},{8}}=>{{1},{2,5},{3,4,6,7},{8}}=>{{1,2,5,8},{3},{4,7},{6}}=>[4,2,1,1] {{1},{2,3,5,7},{4,8},{6}}=>{{1,5},{2,4,6,7},{3},{8}}=>{{1,2,5},{3},{4,8},{6,7}}=>[3,2,2,1] {{1},{2,3,7},{4,6},{5,8}}=>{{1,4},{2,6,7},{3,5},{8}}=>{{1,2,7},{3},{4,6},{5,8}}=>[3,2,2,1] {{1},{2,3,6},{4,7},{5,8}}=>{{1,4},{2,5},{3,6,7},{8}}=>{{1,2,6},{3},{4,7},{5,8}}=>[3,2,2,1] {{1,3},{2,5,8},{4,6,7}}=>{{1,4,7},{2,3,5},{6,8}}=>{{1,3},{2,5,8},{4,6},{7}}=>[3,2,2,1] {{1,5},{2},{3,4,6,7},{8}}=>{{1},{2,3,5,6},{4,8},{7}}=>{{1,5,8},{2,3,6},{4},{7}}=>[3,3,1,1] {{1,5},{2,6,7},{3,4},{8}}=>{{1},{2,3,7},{4,8},{5,6}}=>{{1,3,5,8},{2,6},{4},{7}}=>[4,2,1,1] {{1,4,5,7},{2},{3,6},{8}}=>{{1},{2,4,5,8},{3,6},{7}}=>{{1,8},{2,3,6},{4,7},{5}}=>[3,2,2,1] {{1,4,8},{2},{3,5,7},{6}}=>{{1,5,8},{2,4,6},{3},{7}}=>{{1},{2,3,5},{4,8},{6,7}}=>[3,2,2,1] {{1,3,8},{2,5,7},{4},{6}}=>{{1,6,8},{2,4,7},{3},{5}}=>{{1},{2,4,5},{3,8},{6,7}}=>[3,2,2,1] {{1,3,7},{2,6},{4,5},{8}}=>{{1},{2,6,8},{3,7},{4,5}}=>{{1,8},{2,4,6},{3,7},{5}}=>[3,2,2,1] {{1,5,8},{2,4,7},{3},{6}}=>{{1,4,8},{2,5,7},{3},{6}}=>{{1},{2,6,7},{3,4},{5,8}}=>[3,2,2,1] {{1,6,8},{2,4},{3},{5,7}}=>{{1,3,8},{2,4},{5,7},{6}}=>{{1},{2,5,7},{3,4},{6,8}}=>[3,2,2,1] {{1,4,8},{2,6},{3},{5,7}}=>{{1,5,8},{2,4},{3,7},{6}}=>{{1},{2,6},{3,4,8},{5,7}}=>[3,2,2,1] {{1,7},{2},{3,4,6,8},{5}}=>{{1,3,5,6},{2,8},{4},{7}}=>{{1,7},{2,3,8},{4},{5,6}}=>[3,2,2,1] {{1},{2,7},{3,4,5},{6,8}}=>{{1,3},{2,7},{4,5,6},{8}}=>{{1,2,7},{3,6,8},{4},{5}}=>[3,3,1,1] {{1},{2,6},{3,4,5,8},{7}}=>{{1,4,5,6},{2},{3,7},{8}}=>{{1,2,6},{3,7,8},{4},{5}}=>[3,3,1,1] {{1,6},{2},{3,4,5,7},{8}}=>{{1},{2,4,5,6},{3,8},{7}}=>{{1,6,8},{2,3,7},{4},{5}}=>[3,3,1,1] {{1,6},{2,7},{3,4,5},{8}}=>{{1},{2,7},{3,8},{4,5,6}}=>{{1,3,6,8},{2,7},{4},{5}}=>[4,2,1,1] {{1,7},{2,4},{3,5,6,8}}=>{{1,3,4,6},{2,8},{5,7}}=>{{1,7},{2,4},{3,5,8},{6}}=>[3,2,2,1] {{1,4},{2,7},{3,5,6,8}}=>{{1,3,4,6},{2,7},{5,8}}=>{{1,4},{2,7},{3,5,8},{6}}=>[3,2,2,1] {{1,4,8},{2,6},{3,5,7}}=>{{1,5,8},{2,4,6},{3,7}}=>{{1},{2,6},{3,5,7},{4,8}}=>[3,2,2,1] {{1,6,8},{2,4},{3,5,7}}=>{{1,3,8},{2,4,6},{5,7}}=>{{1},{2,4},{3,5,7},{6,8}}=>[3,2,2,1] {{1,3,8},{2,5,7},{4,6}}=>{{1,6,8},{2,4,7},{3,5}}=>{{1},{2,5,7},{3,8},{4,6}}=>[3,2,2,1] {{1,5},{2,7},{3,4,6},{8}}=>{{1},{2,7},{3,5,6},{4,8}}=>{{1,5,8},{2,7},{3,6},{4}}=>[3,2,2,1] {{1},{2,4,8},{3,5,6},{7}}=>{{1,5,7},{2},{3,4,6},{8}}=>{{1,2},{3,5},{4,7,8},{6}}=>[3,2,2,1] {{1,6},{2,4,5},{3,7},{8}}=>{{1},{2,6},{3,8},{4,5,7}}=>{{1,6,8},{2,4},{3,7},{5}}=>[3,2,2,1] {{1},{2,7},{3,5,6},{4,8}}=>{{1,5},{2,7},{3,4,6},{8}}=>{{1,2,7},{3,5},{4,8},{6}}=>[3,2,2,1] {{1},{2,5,8},{3,6,7},{4}}=>{{1,4,7},{2,3,6},{5},{8}}=>{{1,2},{3,6},{4,5,8},{7}}=>[3,2,2,1] {{1,4,7},{2,5,6},{3},{8}}=>{{1},{2,5,8},{3,4,7},{6}}=>{{1,8},{2,5},{3,4,7},{6}}=>[3,2,2,1] {{1},{2,6,8},{3,4,7},{5}}=>{{1,3,7},{2,5,6},{4},{8}}=>{{1,2},{3,7},{4},{5,6,8}}=>[3,2,2,1] {{1,5,7},{2,3,6},{4},{8}}=>{{1},{2,4,8},{3,6,7},{5}}=>{{1,8},{2,6},{3},{4,5,7}}=>[3,2,2,1] {{1,3},{2,6},{4,5,8},{7}}=>{{1,4,5},{2},{3,7},{6,8}}=>{{1,3},{2,6},{4,7,8},{5}}=>[3,2,2,1] {{1,4,6},{2,3,8},{5},{7}}=>{{1,6,7},{2},{3,5,8},{4}}=>{{1,4},{2,7,8},{3},{5,6}}=>[3,2,2,1] {{1,4},{2,3,8},{5,6},{7}}=>{{1,6,7},{2},{3,4},{5,8}}=>{{1,4},{2,5,7,8},{3},{6}}=>[4,2,1,1] {{1,2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7,8},{5}}=>{{1,6},{2},{3,8},{4,5,7}}=>[3,2,2,1] {{1},{2,6},{3,8},{4},{5,7}}=>{{1,6},{2,4},{3,7},{5},{8}}=>{{1,2,6},{3,8},{4,5,7}}=>[3,3,2] {{1,7},{2,8},{3},{4},{5,6}}=>{{1,7},{2,8},{3,4},{5},{6}}=>{{1,3,4,5,7},{2,8},{6}}=>[5,2,1] {{1},{2,3,5},{4,8},{6,7}}=>{{1,5},{2,3},{4,6,7},{8}}=>{{1,2,5},{3},{4,6,8},{7}}=>[3,3,1,1] {{1,5,6,7},{2},{3,4,8}}=>{{1,5,6},{2,3,4,8},{7}}=>{{1,5},{2,3,8},{4},{6},{7}}=>[3,2,1,1,1] {{1,2,5},{3},{4,8},{6,7}}=>{{1,5},{2,3},{4,7,8},{6}}=>{{1,5},{2},{3,4,6,8},{7}}=>[4,2,1,1] {{1,2,4,6},{3,8},{5,7}}=>{{1,6},{2,4},{3,5,7,8}}=>{{1,4,6},{2},{3,8},{5,7}}=>[3,2,2,1] {{1,3,4,8},{2,5,6,7}}=>{{1,5,6,8},{2,3,4,7}}=>{{1},{2,5},{3,8},{4},{6},{7}}=>[2,2,1,1,1,1] {{1,5,8},{2,4},{3,7},{6}}=>{{1,4,8},{2,6},{3},{5,7}}=>{{1},{2,4},{3,6,7},{5,8}}=>[3,2,2,1] {{1},{2,7},{3,8},{4,5,6}}=>{{1,6},{2,7},{3,4,5},{8}}=>{{1,2,4,7},{3,8},{5},{6}}=>[4,2,1,1] {{1,5},{2,4,6},{3,7},{8}}=>{{1},{2,6},{3,5,7},{4,8}}=>{{1,5,8},{2,4,6},{3,7}}=>[3,3,2] {{1,6},{2,3,5},{4,7},{8}}=>{{1},{2,5},{3,8},{4,6,7}}=>{{1,6,8},{2,5},{3},{4,7}}=>[3,2,2,1] {{1},{2,5},{3,8},{4,6,7}}=>{{1,6},{2,3,5},{4,7},{8}}=>{{1,2,5},{3,8},{4,6},{7}}=>[3,2,2,1] {{1,4,7},{2,3},{5},{6,8}}=>{{1,3},{2,5,8},{4},{6,7}}=>{{1,7},{2,4},{3},{5,6,8}}=>[3,2,2,1] {{1},{2,4},{3,7,8},{5},{6}}=>{{1,2,6},{3},{4},{5,7},{8}}=>{{1,2,4},{3,5,6,7},{8}}=>[4,3,1] {{1},{2,5,7},{3,4,8},{6}}=>{{1,5,6},{2,4,7},{3},{8}}=>{{1,2,5},{3,8},{4},{6,7}}=>[3,2,2,1] {{1,5,6},{2,4},{3,7},{8}}=>{{1},{2,6},{3,4,8},{5,7}}=>{{1,5,8},{2,4},{3,7},{6}}=>[3,2,2,1] {{1,8},{2,4},{3,5,7},{6}}=>{{1,8},{2,4,6},{3},{5,7}}=>{{1},{2,4,8},{3,5},{6,7}}=>[3,2,2,1] {{1,6,7},{2,4},{3,5},{8}}=>{{1},{2,3,8},{4,6},{5,7}}=>{{1,8},{2,4,6},{3,5},{7}}=>[3,2,2,1] {{1},{2,3,6,7},{4,8},{5}}=>{{1,5},{2,3,6,7},{4},{8}}=>{{1,2,5,6},{3},{4,8},{7}}=>[4,2,1,1] {{1,3,5,8},{2},{4,7},{6}}=>{{1,4,6,8},{2,5},{3},{7}}=>{{1},{2,3},{4,6,7},{5,8}}=>[3,2,2,1] {{1},{2,3,6,8},{4},{5,7}}=>{{1,3,6,7},{2,4},{5},{8}}=>{{1,2},{3},{4,5,7},{6,8}}=>[3,2,2,1] {{1},{2,5,6,8},{3},{4,7}}=>{{1,3,4,7},{2,5},{6},{8}}=>{{1,2},{3,4,7},{5,8},{6}}=>[3,2,2,1] {{1},{2,4,5,7},{3,8},{6}}=>{{1,6},{2,4,5,7},{3},{8}}=>{{1,2,4},{3,8},{5},{6,7}}=>[3,2,2,1] {{1},{2},{3,4,6,7},{5,8}}=>{{1,4},{2,3,5,6},{7},{8}}=>{{1,2,3,6},{4},{5,8},{7}}=>[4,2,1,1] {{1},{2,6},{3,7,8},{4,5}}=>{{1,2,6},{3,7},{4,5},{8}}=>{{1,2,4,6},{3,7},{5},{8}}=>[4,2,1,1] {{1},{2,6,7},{3,5},{4,8}}=>{{1,5},{2,3,7},{4,6},{8}}=>{{1,2,6},{3,5},{4,8},{7}}=>[3,2,2,1] {{1},{2},{3,6,8},{4,5,7}}=>{{1,3,6},{2,4,5},{7},{8}}=>{{1,2,3},{4,7},{5},{6,8}}=>[3,2,2,1] {{1},{2,3},{4,7},{5,6,8}}=>{{1,3,4},{2,5},{6,7},{8}}=>{{1,2,4,7},{3},{5,8},{6}}=>[4,2,1,1] {{1,7,8},{2,4},{3,5},{6}}=>{{1,2,8},{3},{4,6},{5,7}}=>{{1},{2,4,6,7},{3,5},{8}}=>[4,2,1,1] {{1,4,6,8},{2},{3},{5,7}}=>{{1,3,5,8},{2,4},{6},{7}}=>{{1},{2,3,4},{5,7},{6,8}}=>[3,2,2,1] {{1},{2,4,6},{3,7,8},{5}}=>{{1,2,6},{3,5,7},{4},{8}}=>{{1,2,4},{3,7},{5,6},{8}}=>[3,2,2,1] {{1,3},{2},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6,8},{7}}=>{{1,4,6},{2,3},{5,7},{8}}=>[3,2,2,1] {{1},{2,4,6,7},{3},{5,8}}=>{{1,4},{2,3,5,7},{6},{8}}=>{{1,2,6},{3,4},{5,8},{7}}=>[3,2,2,1] {{1,3},{2,4,5},{6,8},{7}}=>{{1,3},{2},{4,5,7},{6,8}}=>{{1,3,6},{2,4},{5},{7,8}}=>[3,2,2,1] {{1,3},{2,8},{4,6,7},{5}}=>{{1,7},{2,3,5},{4},{6,8}}=>{{1,3},{2,4,8},{5,6},{7}}=>[3,2,2,1] {{1,3},{2,4,5},{6,7},{8}}=>{{1},{2,3},{4,5,7},{6,8}}=>{{1,3,6,8},{2,4},{5},{7}}=>[4,2,1,1] {{1,4},{2,3,7,8},{5},{6}}=>{{1,2,6,7},{3},{4},{5,8}}=>{{1,4},{2,5,6,7},{3},{8}}=>[4,2,1,1] {{1,3,8},{2,4},{5},{6,7}}=>{{1,6,8},{2,3},{4},{5,7}}=>{{1},{2,4},{3,5,6,8},{7}}=>[4,2,1,1] {{1,6,8},{2},{3},{4,5,7}}=>{{1,3,8},{2,4,5},{6},{7}}=>{{1},{2,3,4,7},{5},{6,8}}=>[4,2,1,1] {{1,5},{2,3,7},{4,6},{8}}=>{{1},{2,6,7},{3,5},{4,8}}=>{{1,5,8},{2,7},{3},{4,6}}=>[3,2,2,1] {{1,4},{2,3,6,7},{5},{8}}=>{{1},{2,3,6,7},{4},{5,8}}=>{{1,4,8},{2,5,6},{3},{7}}=>[3,3,1,1] {{1,4,6},{2,3,7},{5},{8}}=>{{1},{2,6,7},{3,5,8},{4}}=>{{1,4,8},{2,7},{3},{5,6}}=>[3,2,2,1] {{1,6},{2,4,5,7},{3},{8}}=>{{1},{2,4,5,7},{3,8},{6}}=>{{1,6,8},{2,7},{3,4},{5}}=>[3,2,2,1] {{1,7},{2,4,5},{3,6},{8}}=>{{1},{2,8},{3,6},{4,5,7}}=>{{1,8},{2,4,7},{3,6},{5}}=>[3,2,2,1] {{1,5,6,7},{2},{3},{4,8}}=>{{1,5},{2,3,4,8},{6},{7}}=>{{1,5},{2,3,4,8},{6},{7}}=>[4,2,1,1] {{1,5,7},{2,6},{3,4},{8}}=>{{1},{2,4,8},{3,7},{5,6}}=>{{1,8},{2,6},{3,5,7},{4}}=>[3,2,2,1] {{1},{2,6,7},{3,5,8},{4}}=>{{1,4,6},{2,3,7},{5},{8}}=>{{1,2,6},{3,8},{4,5},{7}}=>[3,2,2,1] {{1,3},{2},{4,6,7},{5,8}}=>{{1,4},{2,3,5},{6,8},{7}}=>{{1,4,6},{2,3},{5,8},{7}}=>[3,2,2,1] {{1,6},{2,5,8},{3,4,7}}=>{{1,4,7},{2,5,6},{3,8}}=>{{1,6},{2,5,8},{3,7},{4}}=>[3,2,2,1] {{1,3,6,7},{2,4,5,8}}=>{{1,4,5,7},{2,3,6,8}}=>{{1,3,6},{2,4,8},{5},{7}}=>[3,3,1,1] {{1},{2,8},{3,5,6},{4,7}}=>{{1,7},{2,5},{3,4,6},{8}}=>{{1,2},{3,5,8},{4,7},{6}}=>[3,2,2,1] {{1},{2,5,6,7},{3},{4,8}}=>{{1,5},{2,3,4,7},{6},{8}}=>{{1,2,5},{3,4,8},{6},{7}}=>[3,3,1,1] {{1,5},{2,7},{3,4,6,8}}=>{{1,3,5,6},{2,7},{4,8}}=>{{1,5},{2,7},{3,6,8},{4}}=>[3,2,2,1] {{1,7},{2},{3,8},{4,5,6}}=>{{1,6},{2,8},{3,4,5},{7}}=>{{1,4,7},{2,3,8},{5},{6}}=>[3,3,1,1] {{1,7},{2,4,5},{3,6,8}}=>{{1,3,6},{2,8},{4,5,7}}=>{{1,7},{2,4},{3,6,8},{5}}=>[3,2,2,1] {{1},{2,6,8},{3,7},{4,5}}=>{{1,3,7},{2,6},{4,5},{8}}=>{{1,2},{3,7},{4,6,8},{5}}=>[3,2,2,1] {{1},{2,4,5,8},{3,7},{6}}=>{{1,4,5,7},{2,6},{3},{8}}=>{{1,2},{3,6,7},{4,8},{5}}=>[3,2,2,1] {{1},{2,6},{3,8},{4,5,7}}=>{{1,6},{2,4,5},{3,7},{8}}=>{{1,2,6},{3,8},{4,7},{5}}=>[3,2,2,1] {{1,4,5,6},{2},{3,8},{7}}=>{{1,6},{2},{3,4,5,8},{7}}=>{{1,4},{2,3,7,8},{5},{6}}=>[4,2,1,1] {{1,3,5,6},{2},{4,8},{7}}=>{{1,5},{2},{3,4,6,8},{7}}=>{{1,5},{2,3},{4,7,8},{6}}=>[3,2,2,1] {{1},{2,4,6,7},{3,8},{5}}=>{{1,6},{2,3,5,7},{4},{8}}=>{{1,2,4},{3,8},{5,6},{7}}=>[3,2,2,1] {{1,5},{2,7,8},{3,4},{6}}=>{{1,2,7},{3},{4,8},{5,6}}=>{{1,3,5},{2,6,7},{4},{8}}=>[3,3,1,1] {{1,7},{2,6},{3},{4,5,8}}=>{{1,4,5},{2,8},{3,7},{6}}=>{{1,7},{2,6},{3,4,8},{5}}=>[3,2,2,1] {{1,4,5},{2,8},{3,7},{6}}=>{{1,7},{2,6},{3},{4,5,8}}=>{{1,4},{2,8},{3,6,7},{5}}=>[3,2,2,1] {{1,3,6},{2,4},{5},{7,8}}=>{{1,2},{3,6,8},{4},{5,7}}=>{{1,7},{2,4},{3,5,6},{8}}=>[3,2,2,1] {{1,3,6},{2},{4,5,8},{7}}=>{{1,4,5},{2},{3,6,8},{7}}=>{{1,6},{2,3},{4,7,8},{5}}=>[3,2,2,1] {{1,4,8},{2,5,7},{3},{6}}=>{{1,5,8},{2,4,7},{3},{6}}=>{{1},{2,5},{3,4,8},{6,7}}=>[3,2,2,1] {{1},{2,3,4,6},{5,8},{7}}=>{{1,4},{2},{3,5,6,7},{8}}=>{{1,2,6},{3},{4},{5,7,8}}=>[3,3,1,1] {{1},{2,4,5,8},{3,6},{7}}=>{{1,4,5,7},{2},{3,6},{8}}=>{{1,2},{3,6},{4,7,8},{5}}=>[3,2,2,1] {{1,6},{2},{3,4,5,8},{7}}=>{{1,4,5,6},{2},{3,8},{7}}=>{{1,6},{2,3,7,8},{4},{5}}=>[4,2,1,1] {{1},{2,4},{3,6},{5,8},{7}}=>{{1,4},{2},{3,6},{5,7},{8}}=>{{1,2,4},{3,6},{5,7,8}}=>[3,3,2] {{1},{2,4,5,6},{3,8},{7}}=>{{1,6},{2},{3,4,5,7},{8}}=>{{1,2,4},{3,7,8},{5},{6}}=>[3,3,1,1] {{1},{2,6},{3,5},{4,8},{7}}=>{{1,5},{2},{3,7},{4,6},{8}}=>{{1,2,6},{3,5},{4,7,8}}=>[3,3,2] {{1,5},{2,4,6,7},{3},{8}}=>{{1},{2,3,5,7},{4,8},{6}}=>{{1,5,8},{2,6},{3,4},{7}}=>[3,2,2,1] {{1,5,6},{2,4,7},{3},{8}}=>{{1},{2,5,7},{3,4,8},{6}}=>{{1,5,8},{2,7},{3,4},{6}}=>[3,2,2,1] {{1},{2,4},{3,8},{5,7},{6}}=>{{1,6},{2,4},{3},{5,7},{8}}=>{{1,2,4},{3,5,8},{6,7}}=>[3,3,2] {{1,4,7},{2,3,5},{6},{8}}=>{{1},{2,5,8},{3},{4,6,7}}=>{{1,8},{2,5},{3},{4,6,7}}=>[3,2,2,1] {{1,4,7},{2,3,6},{5},{8}}=>{{1},{2,5,8},{3,6,7},{4}}=>{{1,8},{2,5,6},{3},{4,7}}=>[3,2,2,1] {{1,5},{2,3,6,7},{4},{8}}=>{{1},{2,3,6,7},{4,8},{5}}=>{{1,4,5,8},{2,6},{3},{7}}=>[4,2,1,1] {{1,4},{2,3,7},{5,6},{8}}=>{{1},{2,6,7},{3,4},{5,8}}=>{{1,4,8},{2,5,7},{3},{6}}=>[3,3,1,1] {{1},{2,5,8},{3,4,6},{7}}=>{{1,4,7},{2},{3,5,6},{8}}=>{{1,2},{3,6},{4},{5,7,8}}=>[3,2,2,1] {{1},{2,5,7},{3,4,6},{8}}=>{{1},{2,4,7},{3,5,6},{8}}=>{{1,2,8},{3,6},{4},{5,7}}=>[3,2,2,1] {{1},{2,3,6},{4,5,7},{8}}=>{{1},{2,4,5},{3,6,7},{8}}=>{{1,2,6,8},{3},{4,7},{5}}=>[4,2,1,1] {{1,6},{2,3},{4,5,7},{8}}=>{{1},{2,4,5},{3,8},{6,7}}=>{{1,6,8},{2,4,7},{3},{5}}=>[3,3,1,1] {{1,3,6},{2},{4,5,7},{8}}=>{{1},{2,4,5},{3,6,8},{7}}=>{{1,6,8},{2,3},{4,7},{5}}=>[3,2,2,1] {{1,4},{2,3,5},{6,7},{8}}=>{{1},{2,3},{4,6,7},{5,8}}=>{{1,4,6,8},{2,5},{3},{7}}=>[4,2,1,1] {{1,6},{2,5,7},{3,4},{8}}=>{{1},{2,4,7},{3,8},{5,6}}=>{{1,6,8},{2,7},{3,5},{4}}=>[3,2,2,1] {{1,4},{2,3,5},{6,8},{7}}=>{{1,3},{2},{4,6,7},{5,8}}=>{{1,4,6},{2,5},{3},{7,8}}=>[3,2,2,1] {{1},{2,3,6},{4,5,8},{7}}=>{{1,4,5},{2},{3,6,7},{8}}=>{{1,2,6},{3},{4,7,8},{5}}=>[3,3,1,1] {{1},{2,5,8},{3,4,7},{6}}=>{{1,4,7},{2,5,6},{3},{8}}=>{{1,2},{3,6,7},{4},{5,8}}=>[3,2,2,1] {{1},{2,3,7},{4,6,8},{5}}=>{{1,3,5},{2,6,7},{4},{8}}=>{{1,2,7},{3},{4,8},{5,6}}=>[3,2,2,1] {{1},{2,3,7},{4,5,8},{6}}=>{{1,4,5},{2,6,7},{3},{8}}=>{{1,2,6,7},{3},{4,8},{5}}=>[4,2,1,1] {{1,4,8},{2},{3,5},{6,7}}=>{{1,5,8},{2,3},{4,6},{7}}=>{{1},{2,3,5},{4,6,8},{7}}=>[3,3,1,1] {{1,6,8},{2},{3,5},{4,7}}=>{{1,3,8},{2,5},{4,6},{7}}=>{{1},{2,3,5},{4,7},{6,8}}=>[3,2,2,1] {{1,4},{2,3,5,8},{6},{7}}=>{{1,4,6,7},{2},{3},{5,8}}=>{{1,4},{2,5},{3},{6,7,8}}=>[3,2,2,1] {{1,2,6,8},{3},{4},{5,7}}=>{{1,3,7,8},{2,4},{5},{6}}=>{{1},{2},{3,4,5,7},{6,8}}=>[4,2,1,1] {{1,2},{3,6,8},{4},{5,7}}=>{{1,3,6},{2,4},{5},{7,8}}=>{{1,3},{2},{4,5,7},{6,8}}=>[3,2,2,1] {{1,2},{3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9}}=>{{1,3,4,5,6,7,8,9},{2}}=>[8,1] {{1,8},{2},{3},{4},{5},{6},{7},{9}}=>{{1},{2,9},{3},{4},{5},{6},{7},{8}}=>{{1,9},{2,3,4,5,6,7,8}}=>[7,2] {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1,3,4,5,6,7,8,9,10},{2}}=>[9,1] {{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>{{1,10},{2,3,4,5,6,7,8,9}}=>[8,2] {{1,8},{2},{3,6},{4,5,7}}=>{{1,8},{2,4,5},{3,6},{7}}=>{{1},{2,3,6,8},{4,7},{5}}=>[4,2,1,1] {{1,8},{2},{3,5,6},{4,7}}=>{{1,8},{2,5},{3,4,6},{7}}=>{{1},{2,3,5,8},{4,7},{6}}=>[4,2,1,1] {{1,5,8},{2},{3,4,6},{7}}=>{{1,4,8},{2},{3,5,6},{7}}=>{{1},{2,3,6},{4},{5,7,8}}=>[3,3,1,1] {{1,3},{2,4,8},{5},{6,7}}=>{{1,5,7},{2,3},{4},{6,8}}=>{{1,3},{2,4},{5,6,8},{7}}=>[3,2,2,1] {{1,5},{2,6},{3,4,7},{8}}=>{{1},{2,5,6},{3,7},{4,8}}=>{{1,5,8},{2,6},{3,7},{4}}=>[3,2,2,1] {{1,4,5},{2,3,6},{7},{8}}=>{{1},{2},{3,6,7},{4,5,8}}=>{{1,4,7,8},{2,6},{3},{5}}=>[4,2,1,1] {{1,5},{2,4},{3,6,7},{8}}=>{{1},{2,3,6},{4,8},{5,7}}=>{{1,5,8},{2,4},{3,6},{7}}=>[3,2,2,1] {{1,5},{2,3,6},{4,7},{8}}=>{{1},{2,5},{3,6,7},{4,8}}=>{{1,5,8},{2,6},{3},{4,7}}=>[3,2,2,1] {{1,5},{2,3,4,6},{7},{8}}=>{{1},{2},{3,5,6,7},{4,8}}=>{{1,5,7,8},{2,6},{3},{4}}=>[4,2,1,1] {{1,5,7},{2,3},{4,6},{8}}=>{{1},{2,4,8},{3,5},{6,7}}=>{{1,8},{2,4,6},{3},{5,7}}=>[3,2,2,1] {{1,4},{2,5,7},{3,6},{8}}=>{{1},{2,4,7},{3,6},{5,8}}=>{{1,4,8},{2,5,7},{3,6}}=>[3,3,2] {{1,2,5},{3,7},{4,6},{8}}=>{{1},{2,6},{3,5},{4,7,8}}=>{{1,5,8},{2},{3,7},{4,6}}=>[3,2,2,1] {{1,2,4},{3,8},{5,6},{7}}=>{{1,6},{2},{3,4},{5,7,8}}=>{{1,4},{2},{3,5,7,8},{6}}=>[4,2,1,1] {{1,2,3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7,8,9}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>[1,1,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7},{8,9}}=>{{1,2},{3,4,5,6,7,8,9}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7},{8},{9}}=>{{1},{2},{3,4,5,6,7,8,9}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}}=>[3,1,1,1,1,1,1] {{1,2,3,4,5,6},{7,8,9}}=>{{1,2,3},{4,5,6,7,8,9}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,3,4,5,6},{7},{8},{9}}=>{{1},{2},{3},{4,5,6,7,8,9}}=>{{1,7,8,9},{2},{3},{4},{5},{6}}=>[4,1,1,1,1,1] {{1,2,3,4,5},{6,7,8,9}}=>{{1,2,3,4},{5,6,7,8,9}}=>{{1,6},{2},{3},{4},{5},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,3,4,5},{6,7,8},{9}}=>{{1},{2,3,4},{5,6,7,8,9}}=>{{1,6,9},{2},{3},{4},{5},{7},{8}}=>[3,1,1,1,1,1,1] {{1,2,3,4,5},{6,7},{8},{9}}=>{{1},{2},{3,4},{5,6,7,8,9}}=>{{1,6,8,9},{2},{3},{4},{5},{7}}=>[4,1,1,1,1,1] {{1,2,3,4},{5,6,7,8},{9}}=>{{1},{2,3,4,5},{6,7,8,9}}=>{{1,5,9},{2},{3},{4},{6},{7},{8}}=>[3,1,1,1,1,1,1] {{1,2,3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8,9,10}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[1,1,1,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7,8},{9,10}}=>{{1,2},{3,4,5,6,7,8,9,10}}=>{{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7,8},{9},{10}}=>{{1},{2},{3,4,5,6,7,8,9,10}}=>{{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>[3,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7},{8,9,10}}=>{{1,2,3},{4,5,6,7,8,9,10}}=>{{1,8},{2},{3},{4},{5},{6},{7},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,2,3,4,5,6,7},{8},{9},{10}}=>{{1},{2},{3},{4,5,6,7,8,9,10}}=>{{1,8,9,10},{2},{3},{4},{5},{6},{7}}=>[4,1,1,1,1,1,1] {{1,2,3,4,5,6},{7,8,9,10}}=>{{1,2,3,4},{5,6,7,8,9,10}}=>{{1,7},{2},{3},{4},{5},{6},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,8},{2},{3},{4},{5},{6,7},{9}}=>{{1},{2,9},{3,4},{5},{6},{7},{8}}=>{{1,9},{2,3,4,5,6,8},{7}}=>[6,2,1] {{1,9},{2},{3},{4},{5},{6},{7,8}}=>{{1,9},{2,3},{4},{5},{6},{7},{8}}=>{{1},{2,3,4,5,6,7,9},{8}}=>[7,1,1] {{1,2,3},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6,7,8}}=>{{1,4,7},{2},{3},{5,6,8}}=>[3,3,1,1] {{1,2,5},{3},{4,6,7},{8}}=>{{1},{2,3,5},{4,7,8},{6}}=>{{1,5,8},{2},{3,4,6},{7}}=>[3,3,1,1] {{1,2,7},{3},{4,8},{5,6}}=>{{1,5},{2,7,8},{3,4},{6}}=>{{1,5,7},{2},{3,4,8},{6}}=>[3,3,1,1] {{1,4},{2,5,7,8},{3},{6}}=>{{1,2,4,7},{3},{5,8},{6}}=>{{1,3,4},{2,5},{6,7},{8}}=>[3,2,2,1] {{1,2,6},{3},{4,5,7},{8}}=>{{1},{2,4,5},{3,7,8},{6}}=>{{1,6,8},{2},{3,4,7},{5}}=>[3,3,1,1] {{1,2,5,6},{3},{4,7},{8}}=>{{1},{2,5},{3,4,7,8},{6}}=>{{1,5,8},{2},{3,4,7},{6}}=>[3,3,1,1] {{1,3},{2},{4,7},{5,6,8}}=>{{1,3,4},{2,5},{6,8},{7}}=>{{1,4,7},{2,3},{5,8},{6}}=>[3,2,2,1] {{1,4},{2},{3,6,7,8},{5}}=>{{1,2,3,6},{4},{5,8},{7}}=>{{1,4},{2,3,5,6},{7},{8}}=>[4,2,1,1] {{1},{2,3,7},{4},{5,6,8}}=>{{1,3,4},{2,6,7},{5},{8}}=>{{1,2,7},{3},{4,5,8},{6}}=>[3,3,1,1] {{1},{2,3,6},{4},{5,7,8}}=>{{1,2,4},{3,6,7},{5},{8}}=>{{1,2,6},{3},{4,5,7},{8}}=>[3,3,1,1] {{1},{2,3},{4,6,7},{5,8}}=>{{1,4},{2,3,5},{6,7},{8}}=>{{1,2,4,6},{3},{5,8},{7}}=>[4,2,1,1] {{1,4},{2,6},{3,7,8},{5}}=>{{1,2,6},{3,7},{4},{5,8}}=>{{1,4},{2,5,6},{3,7},{8}}=>[3,2,2,1] {{1},{2,3,5,6},{4,8},{7}}=>{{1,5},{2},{3,4,6,7},{8}}=>{{1,2,5},{3},{4,7,8},{6}}=>[3,3,1,1] {{1},{2,3,5},{4,7,8},{6}}=>{{1,2,5},{3},{4,6,7},{8}}=>{{1,2,5},{3},{4,6,7},{8}}=>[3,3,1,1] {{1},{2,5},{3,4,7,8},{6}}=>{{1,2,5,6},{3},{4,7},{8}}=>{{1,2,5},{3,6,7},{4},{8}}=>[3,3,1,1] {{1},{2,4,8},{3,6,7},{5}}=>{{1,5,7},{2,3,6},{4},{8}}=>{{1,2},{3,5,6},{4,8},{7}}=>[3,2,2,1] {{1},{2,3,6},{4,7,8},{5}}=>{{1,2,5},{3,6,7},{4},{8}}=>{{1,2,5,6},{3},{4,7},{8}}=>[4,2,1,1] {{1,4,5,7},{2,3,6,8}}=>{{1,3,6,7},{2,4,5,8}}=>{{1,4,7},{2,6,8},{3},{5}}=>[3,3,1,1] {{1,5},{2,3,7},{4,6,8}}=>{{1,3,5},{2,6,7},{4,8}}=>{{1,5},{2,7},{3},{4,6,8}}=>[3,2,2,1] {{1,5},{2,3,6,8},{4,7}}=>{{1,3,6,7},{2,5},{4,8}}=>{{1,5},{2,6,8},{3},{4,7}}=>[3,2,2,1] {{1},{2,5},{3,4,7},{6,8}}=>{{1,3},{2,5,6},{4,7},{8}}=>{{1,2,5},{3,7},{4},{6,8}}=>[3,2,2,1] {{1,5},{2,6,8},{3,4,7}}=>{{1,3,7},{2,5,6},{4,8}}=>{{1,5},{2,6,8},{3,7},{4}}=>[3,2,2,1] {{1,5,7},{2,6},{3,4,8}}=>{{1,5,6},{2,4,8},{3,7}}=>{{1,5,7},{2,6},{3,8},{4}}=>[3,2,2,1] {{1,6},{2,5,7},{3,4,8}}=>{{1,5,6},{2,4,7},{3,8}}=>{{1,6},{2,5,7},{3,8},{4}}=>[3,2,2,1] {{1,5,7},{2,3,6},{4,8}}=>{{1,5},{2,4,8},{3,6,7}}=>{{1,5,7},{2,6},{3},{4,8}}=>[3,2,2,1] {{1,5,7},{2,3,8},{4,6}}=>{{1,6,7},{2,4,8},{3,5}}=>{{1,5,7},{2,8},{3},{4,6}}=>[3,2,2,1] {{1},{2,7},{3,6},{4,5,8}}=>{{1,4,5},{2,7},{3,6},{8}}=>{{1,2,7},{3,6},{4,8},{5}}=>[3,2,2,1] {{1,7},{2,4,5,8},{3,6}}=>{{1,4,5,7},{2,8},{3,6}}=>{{1,7},{2,4,8},{3,6},{5}}=>[3,2,2,1] {{1,7},{2,5,8},{3,4,6}}=>{{1,4,7},{2,8},{3,5,6}}=>{{1,7},{2,5,8},{3,6},{4}}=>[3,2,2,1] {{1,6},{2,5},{3,4,7},{8}}=>{{1},{2,5,6},{3,8},{4,7}}=>{{1,6,8},{2,5},{3,7},{4}}=>[3,2,2,1] {{1,6},{2,4,5,8},{3,7}}=>{{1,4,5,7},{2,6},{3,8}}=>{{1,6},{2,4,8},{3,7},{5}}=>[3,2,2,1] {{1,4,5},{2,7},{3,6},{8}}=>{{1},{2,7},{3,6},{4,5,8}}=>{{1,4,8},{2,7},{3,6},{5}}=>[3,2,2,1] {{1},{2,4,5,7},{3,6},{8}}=>{{1},{2,4,5,7},{3,6},{8}}=>{{1,2,8},{3,6},{4,7},{5}}=>[3,2,2,1] {{1,4,5,7},{2,8},{3,6}}=>{{1,7},{2,4,5,8},{3,6}}=>{{1,4,7},{2,8},{3,6},{5}}=>[3,2,2,1] {{1,4,5},{2,7},{3,6,8}}=>{{1,3,6},{2,7},{4,5,8}}=>{{1,4},{2,7},{3,6,8},{5}}=>[3,2,2,1] {{1,7},{2,5},{3,4,6,8}}=>{{1,3,5,6},{2,8},{4,7}}=>{{1,7},{2,5},{3,6,8},{4}}=>[3,2,2,1] {{1},{2,6},{3,4,5,7},{8}}=>{{1},{2,4,5,6},{3,7},{8}}=>{{1,2,6,8},{3,7},{4},{5}}=>[4,2,1,1] {{1},{2,7},{3,6,8},{4,5}}=>{{1,3,6},{2,7},{4,5},{8}}=>{{1,2,7},{3,8},{4,6},{5}}=>[3,2,2,1] {{1,6},{2,4,5,7},{3,8}}=>{{1,6},{2,4,5,7},{3,8}}=>{{1,6},{2,4,7},{3,8},{5}}=>[3,2,2,1] {{1,5,7},{2,8},{3,4,6}}=>{{1,7},{2,4,8},{3,5,6}}=>{{1,5,7},{2,8},{3,6},{4}}=>[3,2,2,1] {{1,3,6},{2,7},{4,5},{8}}=>{{1},{2,7},{3,6,8},{4,5}}=>{{1,3,8},{2,7},{4,6},{5}}=>[3,2,2,1] {{1},{2,6,8},{3},{4,7},{5}}=>{{1,3,7},{2,5},{4},{6},{8}}=>{{1,2},{3,4,7},{5,6,8}}=>[3,3,2] {{1,3},{2},{4,7},{5},{6,8}}=>{{1,3},{2,5},{4},{6,8},{7}}=>{{1,4,7},{2,3},{5,6,8}}=>[3,3,2] {{1,3,4,7},{2},{5},{6,8}}=>{{1,3},{2,5,6,8},{4},{7}}=>{{1,7},{2,3},{4},{5,6,8}}=>[3,2,2,1] {{1,4},{2},{3,5},{6,8},{7}}=>{{1,3},{2},{4,6},{5,8},{7}}=>{{1,4,6},{2,3,5},{7,8}}=>[3,3,2] {{1,5,7},{2},{3,6},{4},{8}}=>{{1},{2,4,8},{3,6},{5},{7}}=>{{1,8},{2,3,6},{4,5,7}}=>[3,3,2] {{1,6},{2,4},{3},{5,7},{8}}=>{{1},{2,4},{3,8},{5,7},{6}}=>{{1,6,8},{2,5,7},{3,4}}=>[3,3,2] {{1},{2,7},{3,5,6,8},{4}}=>{{1,3,4,6},{2,7},{5},{8}}=>{{1,2,7},{3,8},{4,5},{6}}=>[3,2,2,1] {{1},{2,8},{3,6},{4},{5,7}}=>{{1,7},{2,4},{3,6},{5},{8}}=>{{1,2},{3,6,8},{4,5,7}}=>[3,3,2] {{1},{2,7},{3,4,6,8},{5}}=>{{1,3,5,6},{2,7},{4},{8}}=>{{1,2,7},{3,8},{4},{5,6}}=>[3,2,2,1] {{1,6},{2,3,5,7},{4},{8}}=>{{1},{2,4,6,7},{3,8},{5}}=>{{1,6,8},{2,7},{3},{4,5}}=>[3,2,2,1] {{1,4,5,8},{2},{3,6},{7}}=>{{1,4,5,8},{2},{3,6},{7}}=>{{1},{2,3,6},{4,7,8},{5}}=>[3,3,1,1] {{1,3,4,6},{2},{5,8},{7}}=>{{1,4},{2},{3,5,6,8},{7}}=>{{1,6},{2,3},{4},{5,7,8}}=>[3,2,2,1] {{1},{2,5},{3,4,6,8},{7}}=>{{1,3,5,6},{2},{4,7},{8}}=>{{1,2,5},{3,6},{4},{7,8}}=>[3,2,2,1] {{1,4},{2,3,5,7},{6},{8}}=>{{1},{2,4,6,7},{3},{5,8}}=>{{1,4,8},{2,5},{3},{6,7}}=>[3,2,2,1] {{1},{2,5,6,8},{3,7},{4}}=>{{1,3,4,7},{2,6},{5},{8}}=>{{1,2},{3,7},{4,5,8},{6}}=>[3,2,2,1] {{1,5,8},{2,3,6},{4},{7}}=>{{1,4,8},{2},{3,6,7},{5}}=>{{1},{2,6},{3},{4,5,7,8}}=>[4,2,1,1] {{1,6},{2,4,8},{3},{5},{7}}=>{{1,5,7},{2},{3,8},{4},{6}}=>{{1,5,6},{2,7,8},{3,4}}=>[3,3,2] {{1,6},{2,3},{4,7,8},{5}}=>{{1,2,5},{3,8},{4},{6,7}}=>{{1,5,6},{2,4,7},{3},{8}}=>[3,3,1,1] {{1,5},{2},{3,4,7},{6,8}}=>{{1,3},{2,5,6},{4,8},{7}}=>{{1,5},{2,3,7},{4},{6,8}}=>[3,2,2,1] {{1,5,8},{2,4,6},{3},{7}}=>{{1,4,8},{2},{3,5,7},{6}}=>{{1},{2,6},{3,4},{5,7,8}}=>[3,2,2,1] {{1,4,8},{2,3,5},{6},{7}}=>{{1,5,8},{2},{3},{4,6,7}}=>{{1},{2,5},{3},{4,6,7,8}}=>[4,2,1,1] {{1},{2,4},{3,5,7},{6},{8}}=>{{1},{2,4,6},{3},{5,7},{8}}=>{{1,2,4,8},{3,5},{6,7}}=>[4,2,2] {{1},{2,4,7},{3,5,6},{8}}=>{{1},{2,5,7},{3,4,6},{8}}=>{{1,2,8},{3,5},{4,7},{6}}=>[3,2,2,1] {{1,7},{2,3,5},{4},{6,8}}=>{{1,3},{2,8},{4,6,7},{5}}=>{{1,7},{2,6,8},{3},{4,5}}=>[3,2,2,1] {{1},{2,4,5},{3,8},{6,7}}=>{{1,6},{2,3},{4,5,7},{8}}=>{{1,2,4},{3,6,8},{5},{7}}=>[3,3,1,1] {{1},{2,3,8},{4,6},{5,7}}=>{{1,6,7},{2,4},{3,5},{8}}=>{{1,2},{3},{4,6,8},{5,7}}=>[3,2,2,1] {{1},{2,4,5,7},{3},{6,8}}=>{{1,3},{2,4,5,7},{6},{8}}=>{{1,2,7},{3,4},{5},{6,8}}=>[3,2,2,1] {{1,3,7},{2},{4,5},{6,8}}=>{{1,3},{2,6,8},{4,5},{7}}=>{{1,7},{2,3},{4,6,8},{5}}=>[3,2,2,1] {{1},{2},{3,5,7,8},{4,6}}=>{{1,2,4,6},{3,5},{7},{8}}=>{{1,2,3},{4,6},{5,7},{8}}=>[3,2,2,1] {{1},{2},{3,5,8},{4,6,7}}=>{{1,4,6},{2,3,5},{7},{8}}=>{{1,2,3},{4,6},{5,8},{7}}=>[3,2,2,1] {{1,5,7,8},{2},{3},{4,6}}=>{{1,2,4,8},{3,5},{6},{7}}=>{{1},{2,3,4,6},{5,7},{8}}=>[4,2,1,1] {{1,2,5,6,7,8,9},{3,4}}=>{{1,2,3,4,5,8,9},{6,7}}=>{{1},{2},{3,5},{4},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,4,5,6,7,8,9},{2},{3}}=>{{1,2,3,4,5,6,9},{7},{8}}=>{{1},{2,3,4},{5},{6},{7},{8},{9}}=>[3,1,1,1,1,1,1] {{1,2,3,4,9},{5,6,7,8}}=>{{1,6,7,8,9},{2,3,4,5}}=>{{1},{2},{3},{4},{5,9},{6},{7},{8}}=>[2,1,1,1,1,1,1,1] {{1,5,6,7},{2},{3,8},{4}}=>{{1,6},{2,3,4,8},{5},{7}}=>{{1,4,5},{2,3,8},{6},{7}}=>[3,3,1,1] {{1,7,8},{2},{3,5},{4,6}}=>{{1,2,8},{3,5},{4,6},{7}}=>{{1},{2,3,5,7},{4,6},{8}}=>[4,2,1,1] {{1,5,6,8},{2},{3},{4,7}}=>{{1,3,4,8},{2,5},{6},{7}}=>{{1},{2,3,4,7},{5,8},{6}}=>[4,2,1,1] {{1,3,4,5,6,7,8},{2},{9}}=>{{1},{2,3,4,5,6,7,9},{8}}=>{{1,9},{2,3},{4},{5},{6},{7},{8}}=>[2,2,1,1,1,1,1] {{1},{2,5,6,7,8,9},{3,4}}=>{{1,2,3,4,5,8},{6,7},{9}}=>{{1,2},{3,5},{4},{6},{7},{8},{9}}=>[2,2,1,1,1,1,1] {{1,4,5,6,7,8},{2,3},{9}}=>{{1},{2,3,4,5,6,9},{7,8}}=>{{1,9},{2,4},{3},{5},{6},{7},{8}}=>[2,2,1,1,1,1,1] {{1,2,4,5,6,7,8},{3},{9}}=>{{1},{2,3,4,5,6,8,9},{7}}=>{{1,9},{2},{3,4},{5},{6},{7},{8}}=>[2,2,1,1,1,1,1] {{1,3,4,5,6,7,8,9},{2},{10}}=>{{1},{2,3,4,5,6,7,8,10},{9}}=>{{1,10},{2,3},{4},{5},{6},{7},{8},{9}}=>[2,2,1,1,1,1,1,1] {{1,3,7},{2,5,6,8},{4}}=>{{1,3,4,7},{2,6,8},{5}}=>{{1,3,7},{2,4,5,8},{6}}=>[4,3,1] {{1,2},{3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8},{9,10}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,2,3,4},{5,6,7,8,9,10}}=>{{1,2,3,4,5,6},{7,8,9,10}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,6},{2},{3,7},{4,5,8}}=>{{1,4,5},{2,6},{3,8},{7}}=>{{1,6},{2,3,7},{4,8},{5}}=>[3,2,2,1] {{1,3},{2,5,7,8},{4},{6}}=>{{1,2,4,7},{3},{5},{6,8}}=>{{1,3},{2,4,5},{6,7},{8}}=>[3,2,2,1] {{1,7},{2},{3,5,6,8},{4}}=>{{1,3,4,6},{2,8},{5},{7}}=>{{1,7},{2,3,8},{4,5},{6}}=>[3,2,2,1] {{1,7},{2},{3,5,8},{4,6}}=>{{1,4,6},{2,8},{3,5},{7}}=>{{1,7},{2,3,5,8},{4,6}}=>[4,2,2] {{1,8},{2},{3,5,7},{4,6}}=>{{1,8},{2,4,6},{3,5},{7}}=>{{1},{2,3,8},{4,6},{5,7}}=>[3,2,2,1] {{1,4,6},{2,3,5},{7},{8}}=>{{1},{2},{3,5,8},{4,6,7}}=>{{1,7,8},{2,5},{3},{4,6}}=>[3,2,2,1] {{1,5,8},{2},{3},{4,6,7}}=>{{1,4,8},{2,3,5},{6},{7}}=>{{1},{2,3,4,6},{5,8},{7}}=>[4,2,1,1] {{1,3,6},{2,4,5},{7},{8}}=>{{1},{2},{3,6,8},{4,5,7}}=>{{1,7,8},{2,4},{3,6},{5}}=>[3,2,2,1] {{1,3,6},{2},{4,5,7,8}}=>{{1,2,4,5},{3,6,8},{7}}=>{{1,6},{2,3},{4,7},{5},{8}}=>[2,2,2,1,1] {{1,3,7},{2,4,6,8},{5}}=>{{1,3,5,7},{2,6,8},{4}}=>{{1,3,7},{2,4,8},{5,6}}=>[3,3,2] {{1},{2},{3},{4},{5},{6,7},{8,9}}=>{{1,2},{3,4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,8},{7},{9}}=>[7,1,1] {{1},{2},{3},{4},{5},{6},{7,8},{9,10}}=>{{1,2},{3,4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6,7,9},{8},{10}}=>[8,1,1] {{1},{2,3,7},{4,5},{6,8}}=>{{1,3},{2,6,7},{4,5},{8}}=>{{1,2,7},{3},{4,6,8},{5}}=>[3,3,1,1] {{1,3},{2},{4,5,7},{6,8}}=>{{1,3},{2,4,5},{6,8},{7}}=>{{1,4,7},{2,3},{5},{6,8}}=>[3,2,2,1] {{1,2},{3},{4,5,7},{6,8}}=>{{1,3},{2,4,5},{6},{7,8}}=>{{1,3,4,7},{2},{5},{6,8}}=>[4,2,1,1] {{1,2},{3},{4,6,8},{5,7}}=>{{1,3,5},{2,4},{6},{7,8}}=>{{1,3,4},{2},{5,7},{6,8}}=>[3,2,2,1] {{1,2},{3},{4,6,7},{5,8}}=>{{1,4},{2,3,5},{6},{7,8}}=>{{1,3,4,6},{2},{5,8},{7}}=>[4,2,1,1] {{1,3},{2,5},{4},{6,7,8}}=>{{1,2,3},{4,7},{5},{6,8}}=>{{1,3,6},{2,4,5},{7},{8}}=>[3,3,1,1] {{1,7},{2,8},{3},{4,5,6}}=>{{1,7},{2,8},{3,4,5},{6}}=>{{1,3,4,7},{2,8},{5},{6}}=>[4,2,1,1] {{1,4,8},{2,5,6},{3},{7}}=>{{1,5,8},{2},{3,4,7},{6}}=>{{1},{2,5},{3,4,7,8},{6}}=>[4,2,1,1] {{1,3},{2,4,5,8},{6},{7}}=>{{1,4,5,7},{2},{3},{6,8}}=>{{1,3},{2,4},{5},{6,7,8}}=>[3,2,2,1] {{1,2,4,6},{3},{5,7},{8}}=>{{1},{2,4},{3,5,7,8},{6}}=>{{1,6,8},{2},{3,4},{5,7}}=>[3,2,2,1] {{1,3,4,6},{2},{5,7},{8}}=>{{1},{2,4},{3,5,6,8},{7}}=>{{1,6,8},{2,3},{4},{5,7}}=>[3,2,2,1] {{1,2,6},{3,7},{4,5},{8}}=>{{1},{2,6},{3,7,8},{4,5}}=>{{1,4,6,8},{2},{3,7},{5}}=>[4,2,1,1] {{1,6,8},{2,7},{3,4},{5}}=>{{1,3,8},{2,7},{4},{5,6}}=>{{1},{2,7},{3,5,6,8},{4}}=>[4,2,1,1] {{1,6,7},{2,4},{3,8},{5}}=>{{1,6},{2,3,8},{4},{5,7}}=>{{1,5,6},{2,4},{3,8},{7}}=>[3,2,2,1] {{1,4},{2},{3,5},{6,7,8}}=>{{1,2,3},{4,6},{5,8},{7}}=>{{1,4,6},{2,3,5},{7},{8}}=>[3,3,1,1] {{1,6},{2,7},{3},{4,5,8}}=>{{1,4,5},{2,7},{3,8},{6}}=>{{1,6},{2,7},{3,4,8},{5}}=>[3,2,2,1] {{1},{2,3,4,6},{5,7},{8}}=>{{1},{2,4},{3,5,6,7},{8}}=>{{1,2,6,8},{3},{4},{5,7}}=>[4,2,1,1] {{1,5,6},{2,7},{3,4},{8}}=>{{1},{2,7},{3,4,8},{5,6}}=>{{1,3,5,8},{2,7},{4},{6}}=>[4,2,1,1] {{1,6},{2,7,8},{3},{4,5}}=>{{1,2,7},{3,8},{4,5},{6}}=>{{1,3,4,6},{2,7},{5},{8}}=>[4,2,1,1] {{1,8},{2},{3,5},{4,6,7}}=>{{1,8},{2,3,5},{4,6},{7}}=>{{1},{2,3,5,8},{4,6},{7}}=>[4,2,1,1] {{1,6},{2},{3,5,8},{4,7}}=>{{1,4,6},{2,5},{3,8},{7}}=>{{1,6},{2,3,5,8},{4,7}}=>[4,2,2] {{1},{2,6,8},{3},{4,5,7}}=>{{1,3,7},{2,4,5},{6},{8}}=>{{1,2},{3,4,7},{5},{6,8}}=>[3,2,2,1] {{1},{2,6,7},{3,8},{4,5}}=>{{1,6},{2,3,7},{4,5},{8}}=>{{1,2,4,6},{3,8},{5},{7}}=>[4,2,1,1] {{1},{2,5,6},{3,8},{4,7}}=>{{1,6},{2,5},{3,4,7},{8}}=>{{1,2,5},{3,8},{4,7},{6}}=>[3,2,2,1] {{1,9},{2,3,4,5,6,7,8}}=>{{1,9},{2,3,4,5,6,7,8}}=>{{1},{2,9},{3},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1,1] {{1,3,8},{2,6,7},{4},{5}}=>{{1,6,8},{2,3,7},{4},{5}}=>{{1},{2,4,5,6},{3,8},{7}}=>[4,2,1,1] {{1,2,7},{3,6},{4},{5,8}}=>{{1,4},{2,7,8},{3,6},{5}}=>{{1,7},{2},{3,6},{4,5,8}}=>[3,2,2,1] {{1,2,8},{3},{4,6},{5,7}}=>{{1,7,8},{2,4},{3,5},{6}}=>{{1},{2},{3,4,6,8},{5,7}}=>[4,2,1,1] {{1,10},{2,3,4,5,6,7,8,9}}=>{{1,10},{2,3,4,5,6,7,8,9}}=>{{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1,1] {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>{{1,2,3,4,5,6,7,8,9,10},{11}}=>[10,1] {{1,7},{2,3,5},{4,6},{8}}=>{{1},{2,8},{3,5},{4,6,7}}=>{{1,8},{2,5,7},{3},{4,6}}=>[3,2,2,1] {{1,3},{2,5,6},{4,7},{8}}=>{{1},{2,5},{3,4,7},{6,8}}=>{{1,3,8},{2,5},{4,7},{6}}=>[3,2,2,1] {{1,3},{2,7},{4,5,6},{8}}=>{{1},{2,7},{3,4,5},{6,8}}=>{{1,3,8},{2,4,7},{5},{6}}=>[3,3,1,1] {{1},{2,5,8},{3},{4,6,7}}=>{{1,4,7},{2,3,5},{6},{8}}=>{{1,2},{3,4,6},{5,8},{7}}=>[3,2,2,1] {{1,4},{2,6,7},{3,5},{8}}=>{{1},{2,3,7},{4,6},{5,8}}=>{{1,4,8},{2,6},{3,5},{7}}=>[3,2,2,1] {{1},{2,4,5},{3,6,7},{8}}=>{{1},{2,3,6},{4,5,7},{8}}=>{{1,2,4,8},{3,6},{5},{7}}=>[4,2,1,1] {{1},{2,4,5},{3,6,8},{7}}=>{{1,3,6},{2},{4,5,7},{8}}=>{{1,2,4},{3,6},{5},{7,8}}=>[3,2,2,1] {{1},{2,5,6},{3,7,8},{4}}=>{{1,2,6},{3,4,7},{5},{8}}=>{{1,2,4,5},{3,7},{6},{8}}=>[4,2,1,1] {{1,3,5,6},{2},{4,7},{8}}=>{{1},{2,5},{3,4,6,8},{7}}=>{{1,5,8},{2,3},{4,7},{6}}=>[3,2,2,1] {{1,3},{2,6},{4,5,7},{8}}=>{{1},{2,4,5},{3,7},{6,8}}=>{{1,3,8},{2,6},{4,7},{5}}=>[3,2,2,1] {{1,4},{2},{3,5,6,7},{8}}=>{{1},{2,3,4,6},{5,8},{7}}=>{{1,4,8},{2,3,5},{6},{7}}=>[3,3,1,1] {{1,3,6},{2,8},{4,5,7}}=>{{1,7},{2,4,5},{3,6,8}}=>{{1,3,6},{2,8},{4,7},{5}}=>[3,2,2,1] {{1,4,6},{2,3,5,7,8}}=>{{1,2,4,6,7},{3,5,8}}=>{{1,4,6},{2,5,7},{3},{8}}=>[3,3,1,1] {{1,5,8},{2},{3,4,6,7}}=>{{1,4,8},{2,3,5,6},{7}}=>{{1},{2,3,6},{4},{5,8},{7}}=>[3,2,1,1,1] {{1},{2,3,5,8},{4,7},{6}}=>{{1,4,6,7},{2,5},{3},{8}}=>{{1,2},{3},{4,6,7},{5,8}}=>[3,2,2,1] {{1,4,7},{2,3,5,6,8}}=>{{1,3,4,6,7},{2,5,8}}=>{{1,4,7},{2,5,8},{3},{6}}=>[3,3,1,1] {{1,2,3,4,5,6,7,9},{8}}=>{{1,3,4,5,6,7,8,9},{2}}=>{{1},{2},{3},{4},{5},{6},{7},{8,9}}=>[2,1,1,1,1,1,1,1] {{1},{2,3,4,5,6,7,8},{9}}=>{{1},{2,3,4,5,6,7,8},{9}}=>{{1,2,9},{3},{4},{5},{6},{7},{8}}=>[3,1,1,1,1,1,1] {{1,2,3,4,5,6,7,8,10},{9}}=>{{1,3,4,5,6,7,8,9,10},{2}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>[2,1,1,1,1,1,1,1,1] {{1,2},{3,4,5,6,7,8},{9}}=>{{1},{2,3,4,5,6,7},{8,9}}=>{{1,3,9},{2},{4},{5},{6},{7},{8}}=>[3,1,1,1,1,1,1] {{1,3,4,5,6,7,9},{2},{8}}=>{{1,3,4,5,6,7,9},{2},{8}}=>{{1},{2,3},{4},{5},{6},{7},{8,9}}=>[2,2,1,1,1,1,1] {{1,2,3,4,5,6,7,8,9,11},{10}}=>{{1,3,4,5,6,7,8,9,10,11},{2}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}=>[2,1,1,1,1,1,1,1,1,1] {{1,3,6,8},{2,4,5,7}}=>{{1,3,6,8},{2,4,5,7}}=>{{1},{2,4,7},{3,6,8},{5}}=>[3,3,1,1] {{1,2,4,8},{3,5,6,7}}=>{{1,5,7,8},{2,3,4,6}}=>{{1},{2},{3,5},{4,8},{6},{7}}=>[2,2,1,1,1,1] {{1,7},{2,5},{3,8},{4},{6}}=>{{1,6},{2,8},{3},{4,7},{5}}=>{{1,6,7},{2,4,5},{3,8}}=>[3,3,2] {{1,6},{2,8},{3},{4,7},{5}}=>{{1,7},{2,5},{3,8},{4},{6}}=>{{1,5,6},{2,8},{3,4,7}}=>[3,3,2] {{1,3,5},{2,8},{4,6,7}}=>{{1,7},{2,3,5},{4,6,8}}=>{{1,3,5},{2,8},{4,6},{7}}=>[3,2,2,1] {{1,4,8},{2,3,5,7},{6}}=>{{1,5,8},{2,4,6,7},{3}}=>{{1},{2,5},{3},{4,8},{6,7}}=>[2,2,2,1,1] {{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>{{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>[2,2,2,2,2,2] {{1},{2},{3},{4},{5},{6},{7,8},{9}}=>{{1},{2,3},{4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,7,9},{8}}=>[8,1] {{1},{2,8},{3},{4},{5},{6},{7},{9}}=>{{1},{2,8},{3},{4},{5},{6},{7},{9}}=>{{1,2,9},{3,4,5,6,7,8}}=>[6,3] {{1,2},{3},{4},{5},{6},{7},{8,9}}=>{{1,2},{3},{4},{5},{6},{7},{8,9}}=>{{1,3,4,5,6,7,8},{2},{9}}=>[7,1,1] {{1,7},{2},{3},{4},{5},{6},{8,9}}=>{{1,2},{3,9},{4},{5},{6},{7},{8}}=>{{1,8},{2,3,4,5,6,7},{9}}=>[6,2,1] {{1},{2,3},{4},{5},{6},{7},{8},{9}}=>{{1},{2},{3},{4},{5},{6},{7,8},{9}}=>{{1,2,4,5,6,7,8,9},{3}}=>[8,1] {{1,2},{3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7},{8,9}}=>{{1,3},{2},{4},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,3},{4,5,6,7,8,9}}=>{{1,2,3,4,5,6},{7,8,9}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,3,4},{5,6,7,8,9}}=>{{1,2,3,4,5},{6,7,8,9}}=>{{1,5},{2},{3},{4},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1},{2},{3,4,5,6,7,8,9}}=>{{1,2,3,4,5,6,7},{8},{9}}=>{{1,2,3},{4},{5},{6},{7},{8},{9}}=>[3,1,1,1,1,1,1] {{1,2,3},{4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7},{8,9,10}}=>{{1,4},{2},{3},{5},{6},{7},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1},{2},{3},{4,6},{5,8},{7}}=>{{1,4},{2},{3,5},{6},{7},{8}}=>{{1,2,3,4,6},{5,7,8}}=>[5,3] {{1},{2},{3,6},{4,8},{5},{7}}=>{{1,5},{2},{3,6},{4},{7},{8}}=>{{1,2,3,5,6},{4,7,8}}=>[5,3] {{1,7},{2,3,4,5,6,8}}=>{{1,3,4,5,6,7},{2,8}}=>{{1,7},{2,8},{3},{4},{5},{6}}=>[2,2,1,1,1,1] {{1,2,6,7},{3,4,5,8}}=>{{1,4,5,6},{2,3,7,8}}=>{{1,6},{2},{3,8},{4},{5},{7}}=>[2,2,1,1,1,1] {{1,3,7},{2,4,5,6,8}}=>{{1,3,4,5,7},{2,6,8}}=>{{1,3,7},{2,4,8},{5},{6}}=>[3,3,1,1] {{1,5,8},{2,4,6},{3,7}}=>{{1,4,8},{2,6},{3,5,7}}=>{{1},{2,4,6},{3,7},{5,8}}=>[3,2,2,1] {{1},{2,3,5,7},{4,6},{8}}=>{{1},{2,4,6,7},{3,5},{8}}=>{{1,2,8},{3},{4,6},{5,7}}=>[3,2,2,1] {{1,3},{2,6,8},{4,5},{7}}=>{{1,3,7},{2},{4,5},{6,8}}=>{{1,3},{2,4,6},{5},{7,8}}=>[3,2,2,1] {{1,4},{2},{3,7,8},{5,6}}=>{{1,2,6},{3,4},{5,8},{7}}=>{{1,4},{2,3,5,7},{6},{8}}=>[4,2,1,1] {{1,2,3,4,5,6,9},{7},{8}}=>{{1,4,5,6,7,8,9},{2},{3}}=>{{1},{2},{3},{4},{5},{6},{7,8,9}}=>[3,1,1,1,1,1,1] {{1,2,9},{3},{4},{5},{6},{7},{8}}=>{{1,8,9},{2},{3},{4},{5},{6},{7}}=>{{1},{2},{3,4,5,6,7,8,9}}=>[7,1,1] {{1,6,7},{2,3,4,5,8}}=>{{1,4,5,6,7},{2,3,8}}=>{{1,6},{2,8},{3},{4},{5},{7}}=>[2,2,1,1,1,1] {{1,4,6,8},{2,3,5,7}}=>{{1,3,5,8},{2,4,6,7}}=>{{1},{2,5,7},{3},{4,6,8}}=>[3,3,1,1] {{1,7,8},{2,4},{3,5,6}}=>{{1,2,8},{3,4,6},{5,7}}=>{{1},{2,4,7},{3,5},{6},{8}}=>[3,2,1,1,1] {{1,2,3,5,6,7,8,9},{4}}=>{{1,2,3,4,5,7,8,9},{6}}=>{{1},{2},{3},{4,5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,4,5,6,7,8,9},{3}}=>{{1,2,3,4,5,6,8,9},{7}}=>{{1},{2},{3,4},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1,2,3,4,5,7,8,9,10},{6}}=>{{1,2,3,4,6,7,8,9,10},{5}}=>{{1},{2},{3},{4},{5},{6,7},{8},{9},{10}}=>[2,1,1,1,1,1,1,1,1] {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10,11}}=>{{1,3,4,5,6,7,8,9,10,11},{2}}=>[10,1] {{1,9},{2,4},{3},{5},{6},{7},{8}}=>{{1,9},{2},{3},{4},{5},{6,8},{7}}=>{{1},{2,5,6,7,8,9},{3,4}}=>[6,2,1] {{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>{{1},{2,3,4,5,6,7,8,9,10,11}}=>[10,1] {{1,7},{2,8},{3,5},{4},{6}}=>{{1,7},{2,8},{3},{4,6},{5}}=>{{1,3,6,7},{2,8},{4,5}}=>[4,2,2] {{1,7},{2,8},{3},{4,5},{6}}=>{{1,7},{2,8},{3},{4,5},{6}}=>{{1,3,4,6,7},{2,8},{5}}=>[5,2,1] {{1,3},{2,5,8},{4},{6,7}}=>{{1,4,7},{2,3},{5},{6,8}}=>{{1,3},{2,4,5},{6,8},{7}}=>[3,2,2,1] {{1},{2},{3},{4},{5},{6,7,8,9}}=>{{1,2,3,4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6},{7},{8},{9}}=>[6,1,1,1] {{1},{2},{3},{4},{5,6,7,8,9}}=>{{1,2,3,4,5},{6},{7},{8},{9}}=>{{1,2,3,4,5},{6},{7},{8},{9}}=>[5,1,1,1,1] {{1},{2},{3},{4,5,6,7,8,9}}=>{{1,2,3,4,5,6},{7},{8},{9}}=>{{1,2,3,4},{5},{6},{7},{8},{9}}=>[4,1,1,1,1,1] {{1},{2},{3},{4},{5},{6},{7},{8,9,10}}=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6,7,8},{9},{10}}=>[8,1,1] {{1},{2},{3},{4},{5},{6},{7,8,9,10}}=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6,7},{8},{9},{10}}=>[7,1,1,1] {{1},{2},{3},{4,6},{5,7,8}}=>{{1,2,4},{3,5},{6},{7},{8}}=>{{1,2,3,4,6},{5,7},{8}}=>[5,2,1] {{1},{2},{3},{4},{5},{6,7,8,9,10}}=>{{1,2,3,4,5},{6},{7},{8},{9},{10}}=>{{1,2,3,4,5,6},{7},{8},{9},{10}}=>[6,1,1,1,1] {{1},{2},{3},{4},{5,6,7,8,9,10}}=>{{1,2,3,4,5,6},{7},{8},{9},{10}}=>{{1,2,3,4,5},{6},{7},{8},{9},{10}}=>[5,1,1,1,1,1] {{1},{2},{3},{4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7},{8},{9},{10}}=>{{1,2,3,4},{5},{6},{7},{8},{9},{10}}=>[4,1,1,1,1,1,1] {{1},{2},{3,4,5,6,7,8,9,10}}=>{{1,2,3,4,5,6,7,8},{9},{10}}=>{{1,2,3},{4},{5},{6},{7},{8},{9},{10}}=>[3,1,1,1,1,1,1,1] {{1,6},{2,3,8},{4,5},{7}}=>{{1,6,7},{2},{3,8},{4,5}}=>{{1,4,6},{2,7,8},{3},{5}}=>[3,3,1,1] {{1,5},{2},{3},{4,6},{7},{8}}=>{{1},{2},{3,5},{4,8},{6},{7}}=>{{1,5,7,8},{2,3,4,6}}=>[4,4] {{1,5,7},{2},{3},{4,6},{8}}=>{{1},{2,4,8},{3,5},{6},{7}}=>{{1,8},{2,3,4,6},{5,7}}=>[4,2,2] {{1,5},{2},{3,7},{4},{6},{8}}=>{{1},{2,6},{3},{4,8},{5},{7}}=>{{1,4,5,8},{2,3,6,7}}=>[4,4] {{1,5},{2,3,4,8},{6},{7}}=>{{1,5,6,7},{2},{3},{4,8}}=>{{1,5},{2,6,7,8},{3},{4}}=>[4,2,1,1] {{1},{2,8,9},{3},{4},{5},{6},{7}}=>{{1,2,8},{3},{4},{5},{6},{7},{9}}=>{{1,2},{3,4,5,6,7,8},{9}}=>[6,2,1] {{1,2},{3,9},{4},{5},{6},{7},{8}}=>{{1,7},{2},{3},{4},{5},{6},{8,9}}=>{{1,3},{2},{4,5,6,7,8,9}}=>[6,2,1] {{1,3},{2,5},{4,6,7},{8}}=>{{1},{2,3,5},{4,7},{6,8}}=>{{1,3,8},{2,5},{4,6},{7}}=>[3,2,2,1] {{1,5},{2,4,6,7},{3,8}}=>{{1,6},{2,3,5,7},{4,8}}=>{{1,5},{2,4,6},{3,8},{7}}=>[3,2,2,1] {{1,8},{2,4},{3,5,6,7}}=>{{1,8},{2,3,4,6},{5,7}}=>{{1},{2,4,8},{3,5},{6},{7}}=>[3,2,1,1,1] {{1,8},{2,5},{3,4,6,7}}=>{{1,8},{2,3,5,6},{4,7}}=>{{1},{2,5,8},{3,6},{4},{7}}=>[3,2,1,1,1] {{1,7},{2,3,5,6},{4,8}}=>{{1,5},{2,8},{3,4,6,7}}=>{{1,7},{2,5},{3},{4,8},{6}}=>[2,2,2,1,1] {{1,6},{2,3,5,7},{4,8}}=>{{1,5},{2,4,6,7},{3,8}}=>{{1,6},{2,5,7},{3},{4,8}}=>[3,2,2,1] {{1,5,7,8},{2,3},{4,6}}=>{{1,2,4,8},{3,5},{6,7}}=>{{1},{2,4,6},{3},{5,7},{8}}=>[3,2,1,1,1] {{1,5,6,8},{2,3},{4,7}}=>{{1,3,4,8},{2,5},{6,7}}=>{{1},{2,4,7},{3},{5,8},{6}}=>[3,2,1,1,1] {{1,5},{2},{3,4,6,8},{7}}=>{{1,3,5,6},{2},{4,8},{7}}=>{{1,5},{2,3,6},{4},{7,8}}=>[3,2,2,1] {{1,6},{2},{3},{4,5,7,8}}=>{{1,2,4,5},{3,8},{6},{7}}=>{{1,6},{2,3,4,7},{5},{8}}=>[4,2,1,1] {{1},{2,5},{3,6,7,8},{4}}=>{{1,2,3,6},{4,7},{5},{8}}=>{{1,2,4,5},{3,6},{7},{8}}=>[4,2,1,1] {{1,3,4,7},{2},{5,8},{6}}=>{{1,4},{2,5,6,8},{3},{7}}=>{{1,6,7},{2,3},{4},{5,8}}=>[3,2,2,1] {{1},{2},{3},{4},{5},{6,8,9},{7}}=>{{1,2,4},{3},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6},{7,8},{9}}=>[6,2,1] {{1,7},{2,3,5},{4,6,8}}=>{{1,3,5},{2,8},{4,6,7}}=>{{1,7},{2,5},{3},{4,6,8}}=>[3,2,2,1] {{1,5,7},{2,3,4,6,8}}=>{{1,3,5,6,7},{2,4,8}}=>{{1,5,7},{2,6,8},{3},{4}}=>[3,3,1,1] {{1,2,3,4,5,7,9},{6,8}}=>{{1,3,5,6,7,8,9},{2,4}}=>{{1},{2},{3},{4},{5},{6,8},{7,9}}=>[2,2,1,1,1,1,1] {{1,4},{2},{3,5},{6},{7},{8}}=>{{1},{2},{3},{4,6},{5,8},{7}}=>{{1,4,6,7,8},{2,3,5}}=>[5,3] {{1,7,9},{2},{3},{4},{5},{6},{8}}=>{{1,3,9},{2},{4},{5},{6},{7},{8}}=>{{1},{2,3,4,5,6,7},{8,9}}=>[6,2,1] {{1,3},{2,4,5,6,7},{8}}=>{{1},{2,3,4,5,7},{6,8}}=>{{1,3,8},{2,4},{5},{6},{7}}=>[3,2,1,1,1] {{1,2,7},{3},{4,6,8},{5}}=>{{1,3,5},{2,7,8},{4},{6}}=>{{1,7},{2},{3,4,8},{5,6}}=>[3,2,2,1] {{1},{2,4,6},{3},{5,7,8}}=>{{1,2,4},{3,5,7},{6},{8}}=>{{1,2,6},{3,4},{5,7},{8}}=>[3,2,2,1] {{1},{2,5,7},{3},{4,6,8}}=>{{1,3,5},{2,4,7},{6},{8}}=>{{1,2,5,7},{3,4,6,8}}=>[4,4] {{1,4,5,7,8},{2},{3,6}}=>{{1,2,4,5,8},{3,6},{7}}=>{{1},{2,3,6},{4,7},{5},{8}}=>[3,2,1,1,1] {{1,3},{2},{4},{5},{6},{7},{8,9}}=>{{1,2},{3},{4},{5},{6},{7,9},{8}}=>{{1,4,5,6,7,8},{2,3},{9}}=>[6,2,1] {{1,2},{3,5,6},{4,7},{8}}=>{{1},{2,5},{3,4,6},{7,8}}=>{{1,3,5,8},{2},{4,7},{6}}=>[4,2,1,1] {{1,2},{3,5},{4,6,7},{8}}=>{{1},{2,3,5},{4,6},{7,8}}=>{{1,3,5,8},{2},{4,6},{7}}=>[4,2,1,1] {{1,2},{3,6},{4,5,7},{8}}=>{{1},{2,4,5},{3,6},{7,8}}=>{{1,3,6,8},{2},{4,7},{5}}=>[4,2,1,1] {{1,5,6,7,8,9},{2,3,4}}=>{{1,2,3,4,5,9},{6,7,8}}=>{{1},{2,5},{3},{4},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1] {{1},{2,3,4,5,6,7},{8,9}}=>{{1,2},{3,4,5,6,7,8},{9}}=>{{1,2,8},{3},{4},{5},{6},{7},{9}}=>[3,1,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,8},{9,11},{10,12}}=>{{1,3},{2,4},{5,6},{7,8},{9,10},{11,12}}=>{{1,3,5,7,9,11},{2},{4},{6},{8},{10,12}}=>[6,2,1,1,1,1] {{1,4,6},{2,3},{5,7,8}}=>{{1,2,4},{3,5,8},{6,7}}=>{{1,6},{2,4},{3},{5,7},{8}}=>[2,2,2,1,1] {{1,2,7},{3,8},{4},{5,6}}=>{{1,6},{2,7,8},{3,4},{5}}=>{{1,4,5,7},{2},{3,8},{6}}=>[4,2,1,1] {{1,4,5,6,7},{2,3,8}}=>{{1,6,7},{2,3,4,5,8}}=>{{1,4},{2,8},{3},{5},{6},{7}}=>[2,2,1,1,1,1] {{1,2,6,7},{3},{4,8},{5}}=>{{1,5},{2,3,7,8},{4},{6}}=>{{1,5,6},{2},{3,4,8},{7}}=>[3,3,1,1] {{1,3,8},{2,4,5,6,7}}=>{{1,6,8},{2,3,4,5,7}}=>{{1},{2,4},{3,8},{5},{6},{7}}=>[2,2,1,1,1,1] {{1,3,4,6},{2,8},{5,7}}=>{{1,7},{2,4},{3,5,6,8}}=>{{1,3,6},{2,8},{4},{5,7}}=>[3,2,2,1] {{1},{2,7},{3},{4,5,6,8}}=>{{1,3,4,5},{2,7},{6},{8}}=>{{1,2,7},{3,4,8},{5},{6}}=>[3,3,1,1] {{1,3,4,8},{2,7},{5,6}}=>{{1,5,6,8},{2,7},{3,4}}=>{{1},{2,5,7},{3,8},{4},{6}}=>[3,2,1,1,1] {{1,2,3,6},{4},{5,7},{8}}=>{{1},{2,4},{3,6,7,8},{5}}=>{{1,6,8},{2},{3},{4,5,7}}=>[3,3,1,1] {{1,3,7},{2,4},{5,6,8}}=>{{1,3,4},{2,6,8},{5,7}}=>{{1,3,7},{2,4},{5,8},{6}}=>[3,2,2,1] {{1,6,8},{2,4,7},{3,5}}=>{{1,3,8},{2,5,7},{4,6}}=>{{1},{2,4,7},{3,5},{6,8}}=>[3,2,2,1] {{1,2,6,7},{3},{4},{5,8}}=>{{1,4},{2,3,7,8},{5},{6}}=>{{1,6},{2},{3,4,5,8},{7}}=>[4,2,1,1] {{1},{2,4},{3,5},{6,7,8}}=>{{1,2,3},{4,6},{5,7},{8}}=>{{1,2,4,6},{3,5},{7},{8}}=>[4,2,1,1] {{1,3,8},{2,4,5},{6},{7}}=>{{1,6,8},{2},{3},{4,5,7}}=>{{1},{2,4},{3,6,7,8},{5}}=>[4,2,1,1] {{1},{2,4,8},{3,6},{5},{7}}=>{{1,5,7},{2},{3,6},{4},{8}}=>{{1,2},{3,5,6},{4,7,8}}=>[3,3,2] {{1,3,7},{2,5,6},{4},{8}}=>{{1},{2,6,8},{3,4,7},{5}}=>{{1,8},{2,4,5},{3,7},{6}}=>[3,2,2,1] {{1,3,5,6},{2,8},{4,7}}=>{{1,7},{2,5},{3,4,6,8}}=>{{1,3,5},{2,8},{4,7},{6}}=>[3,2,2,1] {{1,4,7},{2},{3,5,6},{8}}=>{{1},{2,5,8},{3,4,6},{7}}=>{{1,8},{2,3,5},{4,7},{6}}=>[3,2,2,1] {{1,2,3},{4},{5,7},{6,8}}=>{{1,3},{2,4},{5},{6,7,8}}=>{{1,4,5,7},{2},{3},{6,8}}=>[4,2,1,1] {{1,2},{3,4,5,6,7,9},{8}}=>{{1,3,4,5,6,7},{2},{8,9}}=>{{1,3},{2},{4},{5},{6},{7},{8,9}}=>[2,2,1,1,1,1,1] {{1,3,4,5,6,7},{2},{8,9}}=>{{1,2},{3,4,5,6,7,9},{8}}=>{{1,8},{2,3},{4},{5},{6},{7},{9}}=>[2,2,1,1,1,1,1] {{1,7},{2},{3,4,5,8},{6}}=>{{1,4,5,6},{2,8},{3},{7}}=>{{1,6,7},{2,3,8},{4},{5}}=>[3,3,1,1] {{1,3,5},{2,4},{6},{7,8}}=>{{1,2},{3},{4,6,8},{5,7}}=>{{1,6,7},{2,4},{3,5},{8}}=>[3,2,2,1] {{1,4,7},{2},{3},{5,6,8}}=>{{1,3,4},{2,5,8},{6},{7}}=>{{1,7},{2,3,4},{5,8},{6}}=>[3,2,2,1] {{1,6},{2,4,7,8},{3,5}}=>{{1,2,5,7},{3,8},{4,6}}=>{{1,6},{2,4,7},{3,5},{8}}=>[3,2,2,1] {{1,4,6,7},{2,8},{3,5}}=>{{1,7},{2,3,5,8},{4,6}}=>{{1,4,6},{2,8},{3,5},{7}}=>[3,2,2,1] {{1,4,7},{2,5,6},{3,8}}=>{{1,6},{2,5,8},{3,4,7}}=>{{1,4,7},{2,5},{3,8},{6}}=>[3,2,2,1] {{1,3,7},{2,5,6},{4,8}}=>{{1,5},{2,6,8},{3,4,7}}=>{{1,3,7},{2,5},{4,8},{6}}=>[3,2,2,1] {{1,3,4},{2,5},{6},{7,8}}=>{{1,2},{3},{4,7},{5,6,8}}=>{{1,3,6,7},{2,5},{4},{8}}=>[4,2,1,1] {{1,4},{2,3,5},{6},{7,8}}=>{{1,2},{3},{4,6,7},{5,8}}=>{{1,4,6,7},{2,5},{3},{8}}=>[4,2,1,1] {{1,4,5},{2},{3,6,7},{8}}=>{{1},{2,3,6},{4,5,8},{7}}=>{{1,4,8},{2,3,6},{5},{7}}=>[3,3,1,1] {{1},{2,5},{3,4,6,7},{8}}=>{{1},{2,3,5,6},{4,7},{8}}=>{{1,2,5,8},{3,6},{4},{7}}=>[4,2,1,1] {{1,4},{2,5},{3,6,7},{8}}=>{{1},{2,3,6},{4,7},{5,8}}=>{{1,4,8},{2,5},{3,6},{7}}=>[3,2,2,1] {{1},{2,4,5,6},{3,7},{8}}=>{{1},{2,6},{3,4,5,7},{8}}=>{{1,2,4,8},{3,7},{5},{6}}=>[4,2,1,1] {{1},{2,4},{3,5,6,7},{8}}=>{{1},{2,3,4,6},{5,7},{8}}=>{{1,2,4,8},{3,5},{6},{7}}=>[4,2,1,1] {{1,4,5},{2},{3,6,8},{7}}=>{{1,3,6},{2},{4,5,8},{7}}=>{{1,4},{2,3,6},{5},{7,8}}=>[3,2,2,1] {{1,2},{3},{4},{5},{6},{7,9},{8}}=>{{1,3},{2},{4},{5},{6},{7},{8,9}}=>{{1,3,4,5,6,7},{2},{8,9}}=>[6,2,1] {{1,2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1,2},{3},{4},{5},{6},{7},{8},{9,10}}=>{{1,3,4,5,6,7,8,9},{2},{10}}=>[8,1,1] {{1},{2,5},{3},{4,6,7},{8}}=>{{1},{2,3,5},{4,7},{6},{8}}=>{{1,2,5,8},{3,4,6},{7}}=>[4,3,1] {{1,2,4},{3,5},{6},{7,8}}=>{{1,2},{3},{4,6},{5,7,8}}=>{{1,4,6,7},{2},{3,5},{8}}=>[4,2,1,1] {{1,4},{2,3,5,8},{6,7}}=>{{1,4,6,7},{2,3},{5,8}}=>{{1,4},{2,5},{3},{6,8},{7}}=>[2,2,2,1,1] {{1,8},{2,5,6},{3,4,7}}=>{{1,8},{2,5,6},{3,4,7}}=>{{1},{2,5,8},{3,7},{4},{6}}=>[3,2,1,1,1] {{1,2},{3,5,7},{4,6},{8}}=>{{1},{2,4,6},{3,5},{7,8}}=>{{1,3,8},{2},{4,6},{5,7}}=>[3,2,2,1] {{1,3},{2,6,7},{4,5},{8}}=>{{1},{2,3,7},{4,5},{6,8}}=>{{1,3,8},{2,4,6},{5},{7}}=>[3,3,1,1] {{1,3,7},{2,4,5},{6},{8}}=>{{1},{2,6,8},{3},{4,5,7}}=>{{1,8},{2,4},{3,6,7},{5}}=>[3,2,2,1] {{1,5},{2},{3,6},{4},{7},{8}}=>{{1},{2},{3,6},{4,8},{5},{7}}=>{{1,4,5,7,8},{2,3,6}}=>[5,3] {{1,4},{2,3,6,8},{5,7}}=>{{1,3,6,7},{2,4},{5,8}}=>{{1,4},{2,6,8},{3},{5,7}}=>[3,2,2,1] {{1,4,5},{2,3,6},{7,8}}=>{{1,2},{3,6,7},{4,5,8}}=>{{1,4,7},{2,6},{3},{5},{8}}=>[3,2,1,1,1] {{1,5,6},{2,4},{3,7,8}}=>{{1,2,6},{3,4,8},{5,7}}=>{{1,5},{2,4},{3,7},{6},{8}}=>[2,2,2,1,1] {{1,6,7},{2,3},{4,5,8}}=>{{1,4,5},{2,3,8},{6,7}}=>{{1,6},{2,4,8},{3},{5},{7}}=>[3,2,1,1,1] {{1,4,8},{2,6,7},{3,5}}=>{{1,5,8},{2,3,7},{4,6}}=>{{1},{2,6},{3,5},{4,8},{7}}=>[2,2,2,1,1] {{1,9},{2},{3},{4},{5},{6,7},{8}}=>{{1,9},{2},{3,4},{5},{6},{7},{8}}=>{{1},{2,3,4,5,6,8,9},{7}}=>[7,1,1] {{1,9},{2},{3},{4},{5},{6,8},{7}}=>{{1,9},{2,4},{3},{5},{6},{7},{8}}=>{{1},{2,3,4,5,6,9},{7,8}}=>[6,2,1] {{1},{2,3},{4,5},{6,7},{8,9},{10}}=>{{1},{2,3},{4,5},{6,7},{8,9},{10}}=>{{1,2,4,6,8,10},{3},{5},{7},{9}}=>[6,1,1,1,1] {{1,2,3,6},{4},{5,8},{7}}=>{{1,4},{2},{3,6,7,8},{5}}=>{{1,6},{2},{3},{4,5,7,8}}=>[4,2,1,1] {{1},{2,5},{3,4,6},{7,8}}=>{{1,2},{3,5,6},{4,7},{8}}=>{{1,2,5,7},{3,6},{4},{8}}=>[4,2,1,1] {{1,2},{3},{4,7},{5,6,8}}=>{{1,3,4},{2,5},{6},{7,8}}=>{{1,3,4,7},{2},{5,8},{6}}=>[4,2,1,1] {{1,3},{2,4,5,7},{6},{8}}=>{{1},{2,4,5,7},{3},{6,8}}=>{{1,3,8},{2,4},{5},{6,7}}=>[3,2,2,1] {{1},{2,3,4,5},{6,7,8,9}}=>{{1,2,3,4},{5,6,7,8},{9}}=>{{1,2,6},{3},{4},{5},{7},{8},{9}}=>[3,1,1,1,1,1,1] {{1,2},{3},{4},{5},{6},{7,8},{9}}=>{{1},{2,3},{4},{5},{6},{7},{8,9}}=>{{1,3,4,5,6,7,9},{2},{8}}=>[7,1,1] {{1,6,7},{2},{3},{4,8},{5}}=>{{1,5},{2,3,8},{4},{6},{7}}=>{{1,5,6},{2,3,4,8},{7}}=>[4,3,1] {{1,5,7},{2},{3,8},{4},{6}}=>{{1,6},{2,4,8},{3},{5},{7}}=>{{1,4,5},{2,3,8},{6,7}}=>[3,3,2] {{1,5,7},{2},{3,4,6},{8}}=>{{1},{2,4,8},{3,5,6},{7}}=>{{1,8},{2,3,6},{4},{5,7}}=>[3,2,2,1] {{1,4,5,6},{2},{3,7},{8}}=>{{1},{2,6},{3,4,5,8},{7}}=>{{1,4,8},{2,3,7},{5},{6}}=>[3,3,1,1] {{1,2,7},{3,5},{4,6,8}}=>{{1,3,5},{2,7,8},{4,6}}=>{{1,7},{2},{3,5},{4,6,8}}=>[3,2,2,1] {{1,3,6},{2,4,5,7,8}}=>{{1,2,4,5,7},{3,6,8}}=>{{1,3,6},{2,4,7},{5},{8}}=>[3,3,1,1] {{1},{2,3,6,8},{4,7},{5}}=>{{1,3,6,7},{2,5},{4},{8}}=>{{1,2},{3},{4,7},{5,6,8}}=>[3,2,2,1] {{1},{2,4,7},{3,5,6,8}}=>{{1,3,4,6},{2,5,7},{8}}=>{{1,2,4,7},{3,5,8},{6}}=>[4,3,1] {{1},{2,4,5,7},{3,6,8}}=>{{1,3,6},{2,4,5,7},{8}}=>{{1,2,4,7},{3,6,8},{5}}=>[4,3,1] {{1,2,5,7},{3,8},{4,6}}=>{{1,6},{2,4,7,8},{3,5}}=>{{1,5,7},{2},{3,8},{4,6}}=>[3,2,2,1] {{1,2,3,4,5,7},{6},{8,9}}=>{{1,2},{3,5,6,7,8,9},{4}}=>{{1,8},{2},{3},{4},{5},{6,7},{9}}=>[2,2,1,1,1,1,1] {{1},{2,4,6,7},{3,5},{8}}=>{{1},{2,3,5,7},{4,6},{8}}=>{{1,2,8},{3,5},{4,6},{7}}=>[3,2,2,1] {{1,2,7},{3},{4},{5,6,8}}=>{{1,3,4},{2,7,8},{5},{6}}=>{{1,7},{2},{3,4,5,8},{6}}=>[4,2,1,1] {{1,3},{2},{4,5,6,7,8,9}}=>{{1,2,3,4,5,6},{7,9},{8}}=>{{1,4},{2,3},{5},{6},{7},{8},{9}}=>[2,2,1,1,1,1,1] {{1},{2},{3},{4},{5},{6,7},{8},{9}}=>{{1},{2},{3,4},{5},{6},{7},{8},{9}}=>{{1,2,3,4,5,6,8,9},{7}}=>[8,1] {{1,6,7},{2},{3},{4,5,8}}=>{{1,4,5},{2,3,8},{6},{7}}=>{{1,6},{2,3,4,8},{5},{7}}=>[4,2,1,1] {{1,3},{2,4,5,6},{7},{8}}=>{{1},{2},{3,4,5,7},{6,8}}=>{{1,3,7,8},{2,4},{5},{6}}=>[4,2,1,1] {{1,2,5,7},{3},{4,6},{8}}=>{{1},{2,4,7,8},{3,5},{6}}=>{{1,8},{2},{3,4,6},{5,7}}=>[3,2,2,1] {{1},{2},{3},{4},{5,7},{6},{8,9}}=>{{1,2},{3,5},{4},{6},{7},{8},{9}}=>{{1,2,3,4,5,8},{6,7},{9}}=>[6,2,1] {{1,7},{2},{3},{4,5,6,8}}=>{{1,3,4,5},{2,8},{6},{7}}=>{{1,7},{2,3,4,8},{5},{6}}=>[4,2,1,1] {{1,4,5},{2,3,7},{6},{8}}=>{{1},{2,6,7},{3},{4,5,8}}=>{{1,4,8},{2,6,7},{3},{5}}=>[3,3,1,1] {{1,4,6,7},{2},{3,5,8}}=>{{1,4,6},{2,3,5,8},{7}}=>{{1,4,6},{2,3,5,8},{7}}=>[4,3,1] {{1,3,6},{2,4,5},{7,8}}=>{{1,2},{3,6,8},{4,5,7}}=>{{1,7},{2,4},{3,6},{5},{8}}=>[2,2,2,1,1] {{1,3,8},{2,4,7},{5,6}}=>{{1,6,8},{2,5,7},{3,4}}=>{{1},{2,4},{3,8},{5,7},{6}}=>[2,2,2,1,1] {{1,8},{2,4,7},{3,5,6}}=>{{1,8},{2,5,7},{3,4,6}}=>{{1},{2,8},{3,5},{4,7},{6}}=>[2,2,2,1,1] {{1,2},{3,5,8},{4,6,7}}=>{{1,4,6},{2,3,5},{7,8}}=>{{1,3},{2},{4,6},{5,8},{7}}=>[2,2,2,1,1] {{1,3,5},{2},{4,6,7},{8}}=>{{1},{2,3,5},{4,6,8},{7}}=>{{1,5,8},{2,3},{4,6},{7}}=>[3,2,2,1] {{1},{2,5,6},{3,4,8},{7}}=>{{1,5,6},{2},{3,4,7},{8}}=>{{1,2,5},{3,7,8},{4},{6}}=>[3,3,1,1] {{1,6,7},{2,4},{3,5,8}}=>{{1,4,6},{2,3,8},{5,7}}=>{{1,6},{2,4},{3,5,8},{7}}=>[3,2,2,1] {{1,4},{2,5,8},{3,6,7}}=>{{1,4,7},{2,3,6},{5,8}}=>{{1,4},{2,5,8},{3,6},{7}}=>[3,2,2,1] {{1,7},{2},{3},{4},{5,8},{6}}=>{{1,4},{2,8},{3},{5},{6},{7}}=>{{1,6,7},{2,3,4,5,8}}=>[5,3] {{1,3,8},{2,5,6,7},{4}}=>{{1,6,8},{2,3,4,7},{5}}=>{{1},{2,4,5},{3,8},{6},{7}}=>[3,2,1,1,1] {{1,5},{2},{3,8},{4},{6},{7}}=>{{1,6},{2},{3},{4,8},{5},{7}}=>{{1,4,5},{2,3,6,7,8}}=>[5,3] {{1},{2,5},{3,6},{4,8},{7}}=>{{1,5},{2},{3,6},{4,7},{8}}=>{{1,2,5},{3,6},{4,7,8}}=>[3,3,2] {{1,7},{2,3,4,5,8},{6}}=>{{1,4,5,6,7},{2,8},{3}}=>{{1,6,7},{2,8},{3},{4},{5}}=>[3,2,1,1,1] {{1,7},{2,4,5,6},{3,8}}=>{{1,6},{2,8},{3,4,5,7}}=>{{1,7},{2,4},{3,8},{5},{6}}=>[2,2,2,1,1] {{1,4,6,8},{2,7},{3,5}}=>{{1,3,5,8},{2,7},{4,6}}=>{{1},{2,7},{3,5},{4,6,8}}=>[3,2,2,1] {{1,5,8},{2},{3,6},{4},{7}}=>{{1,4,8},{2},{3,6},{5},{7}}=>{{1},{2,3,6},{4,5,7,8}}=>[4,3,1] {{1},{2,3},{4,9},{5},{6},{7},{8}}=>{{1,6},{2},{3},{4},{5},{7,8},{9}}=>{{1,2,4},{3},{5,6,7,8,9}}=>[5,3,1] {{1},{2},{3,4},{5,9},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6,7},{8},{9}}=>{{1,2,3,5},{4},{6,7,8,9}}=>[4,4,1] {{1},{2},{3},{4,5},{6,9},{7},{8}}=>{{1,4},{2},{3},{5,6},{7},{8},{9}}=>{{1,2,3,4,6},{5},{7,8,9}}=>[5,3,1] {{1},{2},{3},{4},{5,6},{7,9},{8}}=>{{1,3},{2},{4,5},{6},{7},{8},{9}}=>{{1,2,3,4,5,7},{6},{8,9}}=>[6,2,1] {{1,5},{2},{3,6,8},{4},{7}}=>{{1,3,6},{2},{4,8},{5},{7}}=>{{1,4,5},{2,3,6},{7,8}}=>[3,3,2] {{1,2,5},{3,7},{4,6,8}}=>{{1,3,5},{2,6},{4,7,8}}=>{{1,5},{2},{3,7},{4,6,8}}=>[3,2,2,1] {{1,4},{2},{3,6,7},{5},{8}}=>{{1},{2,3,6},{4},{5,8},{7}}=>{{1,4,8},{2,3,5,6},{7}}=>[4,3,1] {{1,6,8},{2,4,5},{3,7}}=>{{1,3,8},{2,6},{4,5,7}}=>{{1},{2,4},{3,7},{5},{6,8}}=>[2,2,2,1,1] {{1},{2},{3,6,7},{4},{5,8}}=>{{1,4},{2,3,6},{5},{7},{8}}=>{{1,2,3,6},{4,5,8},{7}}=>[4,3,1] {{1,3},{2,4,5},{6},{7},{8}}=>{{1},{2},{3},{4,5,7},{6,8}}=>{{1,3,6,7,8},{2,4},{5}}=>[5,2,1] {{1,2,3,4},{5,9},{6},{7},{8}}=>{{1,5},{2},{3},{4},{6,7,8,9}}=>{{1,5},{2},{3},{4},{6,7,8,9}}=>[4,2,1,1,1] {{1},{2},{3,7},{4},{5,8},{6}}=>{{1,4},{2,6},{3},{5},{7},{8}}=>{{1,2,3,6,7},{4,5,8}}=>[5,3] {{1},{2},{3,6,7},{4,8},{5}}=>{{1,5},{2,3,6},{4},{7},{8}}=>{{1,2,3,5,6},{4,8},{7}}=>[5,2,1] {{1},{2,5,7},{3},{4,6},{8}}=>{{1},{2,4,7},{3,5},{6},{8}}=>{{1,2,8},{3,4,6},{5,7}}=>[3,3,2]