=>

{{1}}=>[1]=>1 {{1,2}}=>[2]=>2 {{1},{2}}=>[1,1]=>1 {{1,2,3}}=>[3]=>3 {{1,2},{3}}=>[2,1]=>1 {{1,3},{2}}=>[2,1]=>1 {{1},{2,3}}=>[1,2]=>1 {{1},{2},{3}}=>[1,1,1]=>1 {{1,2,3,4}}=>[4]=>4 {{1,2,3},{4}}=>[3,1]=>1 {{1,2,4},{3}}=>[3,1]=>1 {{1,2},{3,4}}=>[2,2]=>2 {{1,2},{3},{4}}=>[2,1,1]=>1 {{1,3,4},{2}}=>[3,1]=>1 {{1,3},{2,4}}=>[2,2]=>2 {{1,3},{2},{4}}=>[2,1,1]=>1 {{1,4},{2,3}}=>[2,2]=>2 {{1},{2,3,4}}=>[1,3]=>1 {{1},{2,3},{4}}=>[1,2,1]=>1 {{1,4},{2},{3}}=>[2,1,1]=>1 {{1},{2,4},{3}}=>[1,2,1]=>1 {{1},{2},{3,4}}=>[1,1,2]=>1 {{1},{2},{3},{4}}=>[1,1,1,1]=>1 {{1,2,3,4,5}}=>[5]=>5 {{1,2,3,4},{5}}=>[4,1]=>1 {{1,2,3,5},{4}}=>[4,1]=>1 {{1,2,3},{4,5}}=>[3,2]=>2 {{1,2,3},{4},{5}}=>[3,1,1]=>1 {{1,2,4,5},{3}}=>[4,1]=>1 {{1,2,4},{3,5}}=>[3,2]=>2 {{1,2,4},{3},{5}}=>[3,1,1]=>1 {{1,2,5},{3,4}}=>[3,2]=>2 {{1,2},{3,4,5}}=>[2,3]=>2 {{1,2},{3,4},{5}}=>[2,2,1]=>1 {{1,2,5},{3},{4}}=>[3,1,1]=>1 {{1,2},{3,5},{4}}=>[2,2,1]=>1 {{1,2},{3},{4,5}}=>[2,1,2]=>1 {{1,2},{3},{4},{5}}=>[2,1,1,1]=>1 {{1,3,4,5},{2}}=>[4,1]=>1 {{1,3,4},{2,5}}=>[3,2]=>2 {{1,3,4},{2},{5}}=>[3,1,1]=>1 {{1,3,5},{2,4}}=>[3,2]=>2 {{1,3},{2,4,5}}=>[2,3]=>2 {{1,3},{2,4},{5}}=>[2,2,1]=>1 {{1,3,5},{2},{4}}=>[3,1,1]=>1 {{1,3},{2,5},{4}}=>[2,2,1]=>1 {{1,3},{2},{4,5}}=>[2,1,2]=>1 {{1,3},{2},{4},{5}}=>[2,1,1,1]=>1 {{1,4,5},{2,3}}=>[3,2]=>2 {{1,4},{2,3,5}}=>[2,3]=>2 {{1,4},{2,3},{5}}=>[2,2,1]=>1 {{1,5},{2,3,4}}=>[2,3]=>2 {{1},{2,3,4,5}}=>[1,4]=>1 {{1},{2,3,4},{5}}=>[1,3,1]=>1 {{1,5},{2,3},{4}}=>[2,2,1]=>1 {{1},{2,3,5},{4}}=>[1,3,1]=>1 {{1},{2,3},{4,5}}=>[1,2,2]=>1 {{1},{2,3},{4},{5}}=>[1,2,1,1]=>1 {{1,4,5},{2},{3}}=>[3,1,1]=>1 {{1,4},{2,5},{3}}=>[2,2,1]=>1 {{1,4},{2},{3,5}}=>[2,1,2]=>1 {{1,4},{2},{3},{5}}=>[2,1,1,1]=>1 {{1,5},{2,4},{3}}=>[2,2,1]=>1 {{1},{2,4,5},{3}}=>[1,3,1]=>1 {{1},{2,4},{3,5}}=>[1,2,2]=>1 {{1},{2,4},{3},{5}}=>[1,2,1,1]=>1 {{1,5},{2},{3,4}}=>[2,1,2]=>1 {{1},{2,5},{3,4}}=>[1,2,2]=>1 {{1},{2},{3,4,5}}=>[1,1,3]=>1 {{1},{2},{3,4},{5}}=>[1,1,2,1]=>1 {{1,5},{2},{3},{4}}=>[2,1,1,1]=>1 {{1},{2,5},{3},{4}}=>[1,2,1,1]=>1 {{1},{2},{3,5},{4}}=>[1,1,2,1]=>1 {{1},{2},{3},{4,5}}=>[1,1,1,2]=>1 {{1},{2},{3},{4},{5}}=>[1,1,1,1,1]=>1 {{1,2,3,4,5,6}}=>[6]=>6 {{1,2,3,4,5},{6}}=>[5,1]=>1 {{1,2,3,4,6},{5}}=>[5,1]=>1 {{1,2,3,4},{5,6}}=>[4,2]=>2 {{1,2,3,4},{5},{6}}=>[4,1,1]=>1 {{1,2,3,5,6},{4}}=>[5,1]=>1 {{1,2,3,5},{4,6}}=>[4,2]=>2 {{1,2,3,5},{4},{6}}=>[4,1,1]=>1 {{1,2,3,6},{4,5}}=>[4,2]=>2 {{1,2,3},{4,5,6}}=>[3,3]=>3 {{1,2,3},{4,5},{6}}=>[3,2,1]=>1 {{1,2,3,6},{4},{5}}=>[4,1,1]=>1 {{1,2,3},{4,6},{5}}=>[3,2,1]=>1 {{1,2,3},{4},{5,6}}=>[3,1,2]=>1 {{1,2,3},{4},{5},{6}}=>[3,1,1,1]=>1 {{1,2,4,5,6},{3}}=>[5,1]=>1 {{1,2,4,5},{3,6}}=>[4,2]=>2 {{1,2,4,5},{3},{6}}=>[4,1,1]=>1 {{1,2,4,6},{3,5}}=>[4,2]=>2 {{1,2,4},{3,5,6}}=>[3,3]=>3 {{1,2,4},{3,5},{6}}=>[3,2,1]=>1 {{1,2,4,6},{3},{5}}=>[4,1,1]=>1 {{1,2,4},{3,6},{5}}=>[3,2,1]=>1 {{1,2,4},{3},{5,6}}=>[3,1,2]=>1 {{1,2,4},{3},{5},{6}}=>[3,1,1,1]=>1 {{1,2,5,6},{3,4}}=>[4,2]=>2 {{1,2,5},{3,4,6}}=>[3,3]=>3 {{1,2,5},{3,4},{6}}=>[3,2,1]=>1 {{1,2,6},{3,4,5}}=>[3,3]=>3 {{1,2},{3,4,5,6}}=>[2,4]=>2 {{1,2},{3,4,5},{6}}=>[2,3,1]=>1 {{1,2,6},{3,4},{5}}=>[3,2,1]=>1 {{1,2},{3,4,6},{5}}=>[2,3,1]=>1 {{1,2},{3,4},{5,6}}=>[2,2,2]=>2 {{1,2},{3,4},{5},{6}}=>[2,2,1,1]=>1 {{1,2,5,6},{3},{4}}=>[4,1,1]=>1 {{1,2,5},{3,6},{4}}=>[3,2,1]=>1 {{1,2,5},{3},{4,6}}=>[3,1,2]=>1 {{1,2,5},{3},{4},{6}}=>[3,1,1,1]=>1 {{1,2,6},{3,5},{4}}=>[3,2,1]=>1 {{1,2},{3,5,6},{4}}=>[2,3,1]=>1 {{1,2},{3,5},{4,6}}=>[2,2,2]=>2 {{1,2},{3,5},{4},{6}}=>[2,2,1,1]=>1 {{1,2,6},{3},{4,5}}=>[3,1,2]=>1 {{1,2},{3,6},{4,5}}=>[2,2,2]=>2 {{1,2},{3},{4,5,6}}=>[2,1,3]=>1 {{1,2},{3},{4,5},{6}}=>[2,1,2,1]=>1 {{1,2,6},{3},{4},{5}}=>[3,1,1,1]=>1 {{1,2},{3,6},{4},{5}}=>[2,2,1,1]=>1 {{1,2},{3},{4,6},{5}}=>[2,1,2,1]=>1 {{1,2},{3},{4},{5,6}}=>[2,1,1,2]=>1 {{1,2},{3},{4},{5},{6}}=>[2,1,1,1,1]=>1 {{1,3,4,5,6},{2}}=>[5,1]=>1 {{1,3,4,5},{2,6}}=>[4,2]=>2 {{1,3,4,5},{2},{6}}=>[4,1,1]=>1 {{1,3,4,6},{2,5}}=>[4,2]=>2 {{1,3,4},{2,5,6}}=>[3,3]=>3 {{1,3,4},{2,5},{6}}=>[3,2,1]=>1 {{1,3,4,6},{2},{5}}=>[4,1,1]=>1 {{1,3,4},{2,6},{5}}=>[3,2,1]=>1 {{1,3,4},{2},{5,6}}=>[3,1,2]=>1 {{1,3,4},{2},{5},{6}}=>[3,1,1,1]=>1 {{1,3,5,6},{2,4}}=>[4,2]=>2 {{1,3,5},{2,4,6}}=>[3,3]=>3 {{1,3,5},{2,4},{6}}=>[3,2,1]=>1 {{1,3,6},{2,4,5}}=>[3,3]=>3 {{1,3},{2,4,5,6}}=>[2,4]=>2 {{1,3},{2,4,5},{6}}=>[2,3,1]=>1 {{1,3,6},{2,4},{5}}=>[3,2,1]=>1 {{1,3},{2,4,6},{5}}=>[2,3,1]=>1 {{1,3},{2,4},{5,6}}=>[2,2,2]=>2 {{1,3},{2,4},{5},{6}}=>[2,2,1,1]=>1 {{1,3,5,6},{2},{4}}=>[4,1,1]=>1 {{1,3,5},{2,6},{4}}=>[3,2,1]=>1 {{1,3,5},{2},{4,6}}=>[3,1,2]=>1 {{1,3,5},{2},{4},{6}}=>[3,1,1,1]=>1 {{1,3,6},{2,5},{4}}=>[3,2,1]=>1 {{1,3},{2,5,6},{4}}=>[2,3,1]=>1 {{1,3},{2,5},{4,6}}=>[2,2,2]=>2 {{1,3},{2,5},{4},{6}}=>[2,2,1,1]=>1 {{1,3,6},{2},{4,5}}=>[3,1,2]=>1 {{1,3},{2,6},{4,5}}=>[2,2,2]=>2 {{1,3},{2},{4,5,6}}=>[2,1,3]=>1 {{1,3},{2},{4,5},{6}}=>[2,1,2,1]=>1 {{1,3,6},{2},{4},{5}}=>[3,1,1,1]=>1 {{1,3},{2,6},{4},{5}}=>[2,2,1,1]=>1 {{1,3},{2},{4,6},{5}}=>[2,1,2,1]=>1 {{1,3},{2},{4},{5,6}}=>[2,1,1,2]=>1 {{1,3},{2},{4},{5},{6}}=>[2,1,1,1,1]=>1 {{1,4,5,6},{2,3}}=>[4,2]=>2 {{1,4,5},{2,3,6}}=>[3,3]=>3 {{1,4,5},{2,3},{6}}=>[3,2,1]=>1 {{1,4,6},{2,3,5}}=>[3,3]=>3 {{1,4},{2,3,5,6}}=>[2,4]=>2 {{1,4},{2,3,5},{6}}=>[2,3,1]=>1 {{1,4,6},{2,3},{5}}=>[3,2,1]=>1 {{1,4},{2,3,6},{5}}=>[2,3,1]=>1 {{1,4},{2,3},{5,6}}=>[2,2,2]=>2 {{1,4},{2,3},{5},{6}}=>[2,2,1,1]=>1 {{1,5,6},{2,3,4}}=>[3,3]=>3 {{1,5},{2,3,4,6}}=>[2,4]=>2 {{1,5},{2,3,4},{6}}=>[2,3,1]=>1 {{1,6},{2,3,4,5}}=>[2,4]=>2 {{1},{2,3,4,5,6}}=>[1,5]=>1 {{1},{2,3,4,5},{6}}=>[1,4,1]=>1 {{1,6},{2,3,4},{5}}=>[2,3,1]=>1 {{1},{2,3,4,6},{5}}=>[1,4,1]=>1 {{1},{2,3,4},{5,6}}=>[1,3,2]=>1 {{1},{2,3,4},{5},{6}}=>[1,3,1,1]=>1 {{1,5,6},{2,3},{4}}=>[3,2,1]=>1 {{1,5},{2,3,6},{4}}=>[2,3,1]=>1 {{1,5},{2,3},{4,6}}=>[2,2,2]=>2 {{1,5},{2,3},{4},{6}}=>[2,2,1,1]=>1 {{1,6},{2,3,5},{4}}=>[2,3,1]=>1 {{1},{2,3,5,6},{4}}=>[1,4,1]=>1 {{1},{2,3,5},{4,6}}=>[1,3,2]=>1 {{1},{2,3,5},{4},{6}}=>[1,3,1,1]=>1 {{1,6},{2,3},{4,5}}=>[2,2,2]=>2 {{1},{2,3,6},{4,5}}=>[1,3,2]=>1 {{1},{2,3},{4,5,6}}=>[1,2,3]=>1 {{1},{2,3},{4,5},{6}}=>[1,2,2,1]=>1 {{1,6},{2,3},{4},{5}}=>[2,2,1,1]=>1 {{1},{2,3,6},{4},{5}}=>[1,3,1,1]=>1 {{1},{2,3},{4,6},{5}}=>[1,2,2,1]=>1 {{1},{2,3},{4},{5,6}}=>[1,2,1,2]=>1 {{1},{2,3},{4},{5},{6}}=>[1,2,1,1,1]=>1 {{1,4,5,6},{2},{3}}=>[4,1,1]=>1 {{1,4,5},{2,6},{3}}=>[3,2,1]=>1 {{1,4,5},{2},{3,6}}=>[3,1,2]=>1 {{1,4,5},{2},{3},{6}}=>[3,1,1,1]=>1 {{1,4,6},{2,5},{3}}=>[3,2,1]=>1 {{1,4},{2,5,6},{3}}=>[2,3,1]=>1 {{1,4},{2,5},{3,6}}=>[2,2,2]=>2 {{1,4},{2,5},{3},{6}}=>[2,2,1,1]=>1 {{1,4,6},{2},{3,5}}=>[3,1,2]=>1 {{1,4},{2,6},{3,5}}=>[2,2,2]=>2 {{1,4},{2},{3,5,6}}=>[2,1,3]=>1 {{1,4},{2},{3,5},{6}}=>[2,1,2,1]=>1 {{1,4,6},{2},{3},{5}}=>[3,1,1,1]=>1 {{1,4},{2,6},{3},{5}}=>[2,2,1,1]=>1 {{1,4},{2},{3,6},{5}}=>[2,1,2,1]=>1 {{1,4},{2},{3},{5,6}}=>[2,1,1,2]=>1 {{1,4},{2},{3},{5},{6}}=>[2,1,1,1,1]=>1 {{1,5,6},{2,4},{3}}=>[3,2,1]=>1 {{1,5},{2,4,6},{3}}=>[2,3,1]=>1 {{1,5},{2,4},{3,6}}=>[2,2,2]=>2 {{1,5},{2,4},{3},{6}}=>[2,2,1,1]=>1 {{1,6},{2,4,5},{3}}=>[2,3,1]=>1 {{1},{2,4,5,6},{3}}=>[1,4,1]=>1 {{1},{2,4,5},{3,6}}=>[1,3,2]=>1 {{1},{2,4,5},{3},{6}}=>[1,3,1,1]=>1 {{1,6},{2,4},{3,5}}=>[2,2,2]=>2 {{1},{2,4,6},{3,5}}=>[1,3,2]=>1 {{1},{2,4},{3,5,6}}=>[1,2,3]=>1 {{1},{2,4},{3,5},{6}}=>[1,2,2,1]=>1 {{1,6},{2,4},{3},{5}}=>[2,2,1,1]=>1 {{1},{2,4,6},{3},{5}}=>[1,3,1,1]=>1 {{1},{2,4},{3,6},{5}}=>[1,2,2,1]=>1 {{1},{2,4},{3},{5,6}}=>[1,2,1,2]=>1 {{1},{2,4},{3},{5},{6}}=>[1,2,1,1,1]=>1 {{1,5,6},{2},{3,4}}=>[3,1,2]=>1 {{1,5},{2,6},{3,4}}=>[2,2,2]=>2 {{1,5},{2},{3,4,6}}=>[2,1,3]=>1 {{1,5},{2},{3,4},{6}}=>[2,1,2,1]=>1 {{1,6},{2,5},{3,4}}=>[2,2,2]=>2 {{1},{2,5,6},{3,4}}=>[1,3,2]=>1 {{1},{2,5},{3,4,6}}=>[1,2,3]=>1 {{1},{2,5},{3,4},{6}}=>[1,2,2,1]=>1 {{1,6},{2},{3,4,5}}=>[2,1,3]=>1 {{1},{2,6},{3,4,5}}=>[1,2,3]=>1 {{1},{2},{3,4,5,6}}=>[1,1,4]=>1 {{1},{2},{3,4,5},{6}}=>[1,1,3,1]=>1 {{1,6},{2},{3,4},{5}}=>[2,1,2,1]=>1 {{1},{2,6},{3,4},{5}}=>[1,2,2,1]=>1 {{1},{2},{3,4,6},{5}}=>[1,1,3,1]=>1 {{1},{2},{3,4},{5,6}}=>[1,1,2,2]=>1 {{1},{2},{3,4},{5},{6}}=>[1,1,2,1,1]=>1 {{1,5,6},{2},{3},{4}}=>[3,1,1,1]=>1 {{1,5},{2,6},{3},{4}}=>[2,2,1,1]=>1 {{1,5},{2},{3,6},{4}}=>[2,1,2,1]=>1 {{1,5},{2},{3},{4,6}}=>[2,1,1,2]=>1 {{1,5},{2},{3},{4},{6}}=>[2,1,1,1,1]=>1 {{1,6},{2,5},{3},{4}}=>[2,2,1,1]=>1 {{1},{2,5,6},{3},{4}}=>[1,3,1,1]=>1 {{1},{2,5},{3,6},{4}}=>[1,2,2,1]=>1 {{1},{2,5},{3},{4,6}}=>[1,2,1,2]=>1 {{1},{2,5},{3},{4},{6}}=>[1,2,1,1,1]=>1 {{1,6},{2},{3,5},{4}}=>[2,1,2,1]=>1 {{1},{2,6},{3,5},{4}}=>[1,2,2,1]=>1 {{1},{2},{3,5,6},{4}}=>[1,1,3,1]=>1 {{1},{2},{3,5},{4,6}}=>[1,1,2,2]=>1 {{1},{2},{3,5},{4},{6}}=>[1,1,2,1,1]=>1 {{1,6},{2},{3},{4,5}}=>[2,1,1,2]=>1 {{1},{2,6},{3},{4,5}}=>[1,2,1,2]=>1 {{1},{2},{3,6},{4,5}}=>[1,1,2,2]=>1 {{1},{2},{3},{4,5,6}}=>[1,1,1,3]=>1 {{1},{2},{3},{4,5},{6}}=>[1,1,1,2,1]=>1 {{1,6},{2},{3},{4},{5}}=>[2,1,1,1,1]=>1 {{1},{2,6},{3},{4},{5}}=>[1,2,1,1,1]=>1 {{1},{2},{3,6},{4},{5}}=>[1,1,2,1,1]=>1 {{1},{2},{3},{4,6},{5}}=>[1,1,1,2,1]=>1 {{1},{2},{3},{4},{5,6}}=>[1,1,1,1,2]=>1 {{1},{2},{3},{4},{5},{6}}=>[1,1,1,1,1,1]=>1 {{1,2,3,4,5,6,7}}=>[7]=>7 {{1,2,3,4,5,6},{7}}=>[6,1]=>1 {{1,2,3,4,5,7},{6}}=>[6,1]=>1 {{1,2,3,4,5},{6,7}}=>[5,2]=>2 {{1,2,3,4,5},{6},{7}}=>[5,1,1]=>1 {{1,2,3,4,6,7},{5}}=>[6,1]=>1 {{1,2,3,4,6},{5,7}}=>[5,2]=>2 {{1,2,3,4,6},{5},{7}}=>[5,1,1]=>1 {{1,2,3,4,7},{5,6}}=>[5,2]=>2 {{1,2,3,4},{5,6,7}}=>[4,3]=>3 {{1,2,3,4},{5,6},{7}}=>[4,2,1]=>1 {{1,2,3,4,7},{5},{6}}=>[5,1,1]=>1 {{1,2,3,4},{5,7},{6}}=>[4,2,1]=>1 {{1,2,3,4},{5},{6,7}}=>[4,1,2]=>1 {{1,2,3,4},{5},{6},{7}}=>[4,1,1,1]=>1 {{1,2,3,5,6,7},{4}}=>[6,1]=>1 {{1,2,3,5,6},{4,7}}=>[5,2]=>2 {{1,2,3,5,6},{4},{7}}=>[5,1,1]=>1 {{1,2,3,5,7},{4,6}}=>[5,2]=>2 {{1,2,3,5},{4,6,7}}=>[4,3]=>3 {{1,2,3,5},{4,6},{7}}=>[4,2,1]=>1 {{1,2,3,5,7},{4},{6}}=>[5,1,1]=>1 {{1,2,3,5},{4,7},{6}}=>[4,2,1]=>1 {{1,2,3,5},{4},{6,7}}=>[4,1,2]=>1 {{1,2,3,5},{4},{6},{7}}=>[4,1,1,1]=>1 {{1,2,3,6,7},{4,5}}=>[5,2]=>2 {{1,2,3,6},{4,5,7}}=>[4,3]=>3 {{1,2,3,6},{4,5},{7}}=>[4,2,1]=>1 {{1,2,3,7},{4,5,6}}=>[4,3]=>3 {{1,2,3},{4,5,6,7}}=>[3,4]=>3 {{1,2,3},{4,5,6},{7}}=>[3,3,1]=>1 {{1,2,3,7},{4,5},{6}}=>[4,2,1]=>1 {{1,2,3},{4,5,7},{6}}=>[3,3,1]=>1 {{1,2,3},{4,5},{6,7}}=>[3,2,2]=>2 {{1,2,3},{4,5},{6},{7}}=>[3,2,1,1]=>1 {{1,2,3,6,7},{4},{5}}=>[5,1,1]=>1 {{1,2,3,6},{4,7},{5}}=>[4,2,1]=>1 {{1,2,3,6},{4},{5,7}}=>[4,1,2]=>1 {{1,2,3,6},{4},{5},{7}}=>[4,1,1,1]=>1 {{1,2,3,7},{4,6},{5}}=>[4,2,1]=>1 {{1,2,3},{4,6,7},{5}}=>[3,3,1]=>1 {{1,2,3},{4,6},{5,7}}=>[3,2,2]=>2 {{1,2,3},{4,6},{5},{7}}=>[3,2,1,1]=>1 {{1,2,3,7},{4},{5,6}}=>[4,1,2]=>1 {{1,2,3},{4,7},{5,6}}=>[3,2,2]=>2 {{1,2,3},{4},{5,6,7}}=>[3,1,3]=>1 {{1,2,3},{4},{5,6},{7}}=>[3,1,2,1]=>1 {{1,2,3,7},{4},{5},{6}}=>[4,1,1,1]=>1 {{1,2,3},{4,7},{5},{6}}=>[3,2,1,1]=>1 {{1,2,3},{4},{5,7},{6}}=>[3,1,2,1]=>1 {{1,2,3},{4},{5},{6,7}}=>[3,1,1,2]=>1 {{1,2,3},{4},{5},{6},{7}}=>[3,1,1,1,1]=>1 {{1,2,4,5,6,7},{3}}=>[6,1]=>1 {{1,2,4,5,6},{3,7}}=>[5,2]=>2 {{1,2,4,5,6},{3},{7}}=>[5,1,1]=>1 {{1,2,4,5,7},{3,6}}=>[5,2]=>2 {{1,2,4,5},{3,6,7}}=>[4,3]=>3 {{1,2,4,5},{3,6},{7}}=>[4,2,1]=>1 {{1,2,4,5,7},{3},{6}}=>[5,1,1]=>1 {{1,2,4,5},{3,7},{6}}=>[4,2,1]=>1 {{1,2,4,5},{3},{6,7}}=>[4,1,2]=>1 {{1,2,4,5},{3},{6},{7}}=>[4,1,1,1]=>1 {{1,2,4,6,7},{3,5}}=>[5,2]=>2 {{1,2,4,6},{3,5,7}}=>[4,3]=>3 {{1,2,4,6},{3,5},{7}}=>[4,2,1]=>1 {{1,2,4,7},{3,5,6}}=>[4,3]=>3 {{1,2,4},{3,5,6,7}}=>[3,4]=>3 {{1,2,4},{3,5,6},{7}}=>[3,3,1]=>1 {{1,2,4,7},{3,5},{6}}=>[4,2,1]=>1 {{1,2,4},{3,5,7},{6}}=>[3,3,1]=>1 {{1,2,4},{3,5},{6,7}}=>[3,2,2]=>2 {{1,2,4},{3,5},{6},{7}}=>[3,2,1,1]=>1 {{1,2,4,6,7},{3},{5}}=>[5,1,1]=>1 {{1,2,4,6},{3,7},{5}}=>[4,2,1]=>1 {{1,2,4,6},{3},{5,7}}=>[4,1,2]=>1 {{1,2,4,6},{3},{5},{7}}=>[4,1,1,1]=>1 {{1,2,4,7},{3,6},{5}}=>[4,2,1]=>1 {{1,2,4},{3,6,7},{5}}=>[3,3,1]=>1 {{1,2,4},{3,6},{5,7}}=>[3,2,2]=>2 {{1,2,4},{3,6},{5},{7}}=>[3,2,1,1]=>1 {{1,2,4,7},{3},{5,6}}=>[4,1,2]=>1 {{1,2,4},{3,7},{5,6}}=>[3,2,2]=>2 {{1,2,4},{3},{5,6,7}}=>[3,1,3]=>1 {{1,2,4},{3},{5,6},{7}}=>[3,1,2,1]=>1 {{1,2,4,7},{3},{5},{6}}=>[4,1,1,1]=>1 {{1,2,4},{3,7},{5},{6}}=>[3,2,1,1]=>1 {{1,2,4},{3},{5,7},{6}}=>[3,1,2,1]=>1 {{1,2,4},{3},{5},{6,7}}=>[3,1,1,2]=>1 {{1,2,4},{3},{5},{6},{7}}=>[3,1,1,1,1]=>1 {{1,2,5,6,7},{3,4}}=>[5,2]=>2 {{1,2,5,6},{3,4,7}}=>[4,3]=>3 {{1,2,5,6},{3,4},{7}}=>[4,2,1]=>1 {{1,2,5,7},{3,4,6}}=>[4,3]=>3 {{1,2,5},{3,4,6,7}}=>[3,4]=>3 {{1,2,5},{3,4,6},{7}}=>[3,3,1]=>1 {{1,2,5,7},{3,4},{6}}=>[4,2,1]=>1 {{1,2,5},{3,4,7},{6}}=>[3,3,1]=>1 {{1,2,5},{3,4},{6,7}}=>[3,2,2]=>2 {{1,2,5},{3,4},{6},{7}}=>[3,2,1,1]=>1 {{1,2,6,7},{3,4,5}}=>[4,3]=>3 {{1,2,6},{3,4,5,7}}=>[3,4]=>3 {{1,2,6},{3,4,5},{7}}=>[3,3,1]=>1 {{1,2,7},{3,4,5,6}}=>[3,4]=>3 {{1,2},{3,4,5,6,7}}=>[2,5]=>2 {{1,2},{3,4,5,6},{7}}=>[2,4,1]=>1 {{1,2,7},{3,4,5},{6}}=>[3,3,1]=>1 {{1,2},{3,4,5,7},{6}}=>[2,4,1]=>1 {{1,2},{3,4,5},{6,7}}=>[2,3,2]=>2 {{1,2},{3,4,5},{6},{7}}=>[2,3,1,1]=>1 {{1,2,6,7},{3,4},{5}}=>[4,2,1]=>1 {{1,2,6},{3,4,7},{5}}=>[3,3,1]=>1 {{1,2,6},{3,4},{5,7}}=>[3,2,2]=>2 {{1,2,6},{3,4},{5},{7}}=>[3,2,1,1]=>1 {{1,2,7},{3,4,6},{5}}=>[3,3,1]=>1 {{1,2},{3,4,6,7},{5}}=>[2,4,1]=>1 {{1,2},{3,4,6},{5,7}}=>[2,3,2]=>2 {{1,2},{3,4,6},{5},{7}}=>[2,3,1,1]=>1 {{1,2,7},{3,4},{5,6}}=>[3,2,2]=>2 {{1,2},{3,4,7},{5,6}}=>[2,3,2]=>2 {{1,2},{3,4},{5,6,7}}=>[2,2,3]=>2 {{1,2},{3,4},{5,6},{7}}=>[2,2,2,1]=>1 {{1,2,7},{3,4},{5},{6}}=>[3,2,1,1]=>1 {{1,2},{3,4,7},{5},{6}}=>[2,3,1,1]=>1 {{1,2},{3,4},{5,7},{6}}=>[2,2,2,1]=>1 {{1,2},{3,4},{5},{6,7}}=>[2,2,1,2]=>1 {{1,2},{3,4},{5},{6},{7}}=>[2,2,1,1,1]=>1 {{1,2,5,6,7},{3},{4}}=>[5,1,1]=>1 {{1,2,5,6},{3,7},{4}}=>[4,2,1]=>1 {{1,2,5,6},{3},{4,7}}=>[4,1,2]=>1 {{1,2,5,6},{3},{4},{7}}=>[4,1,1,1]=>1 {{1,2,5,7},{3,6},{4}}=>[4,2,1]=>1 {{1,2,5},{3,6,7},{4}}=>[3,3,1]=>1 {{1,2,5},{3,6},{4,7}}=>[3,2,2]=>2 {{1,2,5},{3,6},{4},{7}}=>[3,2,1,1]=>1 {{1,2,5,7},{3},{4,6}}=>[4,1,2]=>1 {{1,2,5},{3,7},{4,6}}=>[3,2,2]=>2 {{1,2,5},{3},{4,6,7}}=>[3,1,3]=>1 {{1,2,5},{3},{4,6},{7}}=>[3,1,2,1]=>1 {{1,2,5,7},{3},{4},{6}}=>[4,1,1,1]=>1 {{1,2,5},{3,7},{4},{6}}=>[3,2,1,1]=>1 {{1,2,5},{3},{4,7},{6}}=>[3,1,2,1]=>1 {{1,2,5},{3},{4},{6,7}}=>[3,1,1,2]=>1 {{1,2,5},{3},{4},{6},{7}}=>[3,1,1,1,1]=>1 {{1,2,6,7},{3,5},{4}}=>[4,2,1]=>1 {{1,2,6},{3,5,7},{4}}=>[3,3,1]=>1 {{1,2,6},{3,5},{4,7}}=>[3,2,2]=>2 {{1,2,6},{3,5},{4},{7}}=>[3,2,1,1]=>1 {{1,2,7},{3,5,6},{4}}=>[3,3,1]=>1 {{1,2},{3,5,6,7},{4}}=>[2,4,1]=>1 {{1,2},{3,5,6},{4,7}}=>[2,3,2]=>2 {{1,2},{3,5,6},{4},{7}}=>[2,3,1,1]=>1 {{1,2,7},{3,5},{4,6}}=>[3,2,2]=>2 {{1,2},{3,5,7},{4,6}}=>[2,3,2]=>2 {{1,2},{3,5},{4,6,7}}=>[2,2,3]=>2 {{1,2},{3,5},{4,6},{7}}=>[2,2,2,1]=>1 {{1,2,7},{3,5},{4},{6}}=>[3,2,1,1]=>1 {{1,2},{3,5,7},{4},{6}}=>[2,3,1,1]=>1 {{1,2},{3,5},{4,7},{6}}=>[2,2,2,1]=>1 {{1,2},{3,5},{4},{6,7}}=>[2,2,1,2]=>1 {{1,2},{3,5},{4},{6},{7}}=>[2,2,1,1,1]=>1 {{1,2,6,7},{3},{4,5}}=>[4,1,2]=>1 {{1,2,6},{3,7},{4,5}}=>[3,2,2]=>2 {{1,2,6},{3},{4,5,7}}=>[3,1,3]=>1 {{1,2,6},{3},{4,5},{7}}=>[3,1,2,1]=>1 {{1,2,7},{3,6},{4,5}}=>[3,2,2]=>2 {{1,2},{3,6,7},{4,5}}=>[2,3,2]=>2 {{1,2},{3,6},{4,5,7}}=>[2,2,3]=>2 {{1,2},{3,6},{4,5},{7}}=>[2,2,2,1]=>1 {{1,2,7},{3},{4,5,6}}=>[3,1,3]=>1 {{1,2},{3,7},{4,5,6}}=>[2,2,3]=>2 {{1,2},{3},{4,5,6,7}}=>[2,1,4]=>1 {{1,2},{3},{4,5,6},{7}}=>[2,1,3,1]=>1 {{1,2,7},{3},{4,5},{6}}=>[3,1,2,1]=>1 {{1,2},{3,7},{4,5},{6}}=>[2,2,2,1]=>1 {{1,2},{3},{4,5,7},{6}}=>[2,1,3,1]=>1 {{1,2},{3},{4,5},{6,7}}=>[2,1,2,2]=>1 {{1,2},{3},{4,5},{6},{7}}=>[2,1,2,1,1]=>1 {{1,2,6,7},{3},{4},{5}}=>[4,1,1,1]=>1 {{1,2,6},{3,7},{4},{5}}=>[3,2,1,1]=>1 {{1,2,6},{3},{4,7},{5}}=>[3,1,2,1]=>1 {{1,2,6},{3},{4},{5,7}}=>[3,1,1,2]=>1 {{1,2,6},{3},{4},{5},{7}}=>[3,1,1,1,1]=>1 {{1,2,7},{3,6},{4},{5}}=>[3,2,1,1]=>1 {{1,2},{3,6,7},{4},{5}}=>[2,3,1,1]=>1 {{1,2},{3,6},{4,7},{5}}=>[2,2,2,1]=>1 {{1,2},{3,6},{4},{5,7}}=>[2,2,1,2]=>1 {{1,2},{3,6},{4},{5},{7}}=>[2,2,1,1,1]=>1 {{1,2,7},{3},{4,6},{5}}=>[3,1,2,1]=>1 {{1,2},{3,7},{4,6},{5}}=>[2,2,2,1]=>1 {{1,2},{3},{4,6,7},{5}}=>[2,1,3,1]=>1 {{1,2},{3},{4,6},{5,7}}=>[2,1,2,2]=>1 {{1,2},{3},{4,6},{5},{7}}=>[2,1,2,1,1]=>1 {{1,2,7},{3},{4},{5,6}}=>[3,1,1,2]=>1 {{1,2},{3,7},{4},{5,6}}=>[2,2,1,2]=>1 {{1,2},{3},{4,7},{5,6}}=>[2,1,2,2]=>1 {{1,2},{3},{4},{5,6,7}}=>[2,1,1,3]=>1 {{1,2},{3},{4},{5,6},{7}}=>[2,1,1,2,1]=>1 {{1,2,7},{3},{4},{5},{6}}=>[3,1,1,1,1]=>1 {{1,2},{3,7},{4},{5},{6}}=>[2,2,1,1,1]=>1 {{1,2},{3},{4,7},{5},{6}}=>[2,1,2,1,1]=>1 {{1,2},{3},{4},{5,7},{6}}=>[2,1,1,2,1]=>1 {{1,2},{3},{4},{5},{6,7}}=>[2,1,1,1,2]=>1 {{1,2},{3},{4},{5},{6},{7}}=>[2,1,1,1,1,1]=>1 {{1,3,4,5,6,7},{2}}=>[6,1]=>1 {{1,3,4,5,6},{2,7}}=>[5,2]=>2 {{1,3,4,5,6},{2},{7}}=>[5,1,1]=>1 {{1,3,4,5,7},{2,6}}=>[5,2]=>2 {{1,3,4,5},{2,6,7}}=>[4,3]=>3 {{1,3,4,5},{2,6},{7}}=>[4,2,1]=>1 {{1,3,4,5,7},{2},{6}}=>[5,1,1]=>1 {{1,3,4,5},{2,7},{6}}=>[4,2,1]=>1 {{1,3,4,5},{2},{6,7}}=>[4,1,2]=>1 {{1,3,4,5},{2},{6},{7}}=>[4,1,1,1]=>1 {{1,3,4,6,7},{2,5}}=>[5,2]=>2 {{1,3,4,6},{2,5,7}}=>[4,3]=>3 {{1,3,4,6},{2,5},{7}}=>[4,2,1]=>1 {{1,3,4,7},{2,5,6}}=>[4,3]=>3 {{1,3,4},{2,5,6,7}}=>[3,4]=>3 {{1,3,4},{2,5,6},{7}}=>[3,3,1]=>1 {{1,3,4,7},{2,5},{6}}=>[4,2,1]=>1 {{1,3,4},{2,5,7},{6}}=>[3,3,1]=>1 {{1,3,4},{2,5},{6,7}}=>[3,2,2]=>2 {{1,3,4},{2,5},{6},{7}}=>[3,2,1,1]=>1 {{1,3,4,6,7},{2},{5}}=>[5,1,1]=>1 {{1,3,4,6},{2,7},{5}}=>[4,2,1]=>1 {{1,3,4,6},{2},{5,7}}=>[4,1,2]=>1 {{1,3,4,6},{2},{5},{7}}=>[4,1,1,1]=>1 {{1,3,4,7},{2,6},{5}}=>[4,2,1]=>1 {{1,3,4},{2,6,7},{5}}=>[3,3,1]=>1 {{1,3,4},{2,6},{5,7}}=>[3,2,2]=>2 {{1,3,4},{2,6},{5},{7}}=>[3,2,1,1]=>1 {{1,3,4,7},{2},{5,6}}=>[4,1,2]=>1 {{1,3,4},{2,7},{5,6}}=>[3,2,2]=>2 {{1,3,4},{2},{5,6,7}}=>[3,1,3]=>1 {{1,3,4},{2},{5,6},{7}}=>[3,1,2,1]=>1 {{1,3,4,7},{2},{5},{6}}=>[4,1,1,1]=>1 {{1,3,4},{2,7},{5},{6}}=>[3,2,1,1]=>1 {{1,3,4},{2},{5,7},{6}}=>[3,1,2,1]=>1 {{1,3,4},{2},{5},{6,7}}=>[3,1,1,2]=>1 {{1,3,4},{2},{5},{6},{7}}=>[3,1,1,1,1]=>1 {{1,3,5,6,7},{2,4}}=>[5,2]=>2 {{1,3,5,6},{2,4,7}}=>[4,3]=>3 {{1,3,5,6},{2,4},{7}}=>[4,2,1]=>1 {{1,3,5,7},{2,4,6}}=>[4,3]=>3 {{1,3,5},{2,4,6,7}}=>[3,4]=>3 {{1,3,5},{2,4,6},{7}}=>[3,3,1]=>1 {{1,3,5,7},{2,4},{6}}=>[4,2,1]=>1 {{1,3,5},{2,4,7},{6}}=>[3,3,1]=>1 {{1,3,5},{2,4},{6,7}}=>[3,2,2]=>2 {{1,3,5},{2,4},{6},{7}}=>[3,2,1,1]=>1 {{1,3,6,7},{2,4,5}}=>[4,3]=>3 {{1,3,6},{2,4,5,7}}=>[3,4]=>3 {{1,3,6},{2,4,5},{7}}=>[3,3,1]=>1 {{1,3,7},{2,4,5,6}}=>[3,4]=>3 {{1,3},{2,4,5,6,7}}=>[2,5]=>2 {{1,3},{2,4,5,6},{7}}=>[2,4,1]=>1 {{1,3,7},{2,4,5},{6}}=>[3,3,1]=>1 {{1,3},{2,4,5,7},{6}}=>[2,4,1]=>1 {{1,3},{2,4,5},{6,7}}=>[2,3,2]=>2 {{1,3},{2,4,5},{6},{7}}=>[2,3,1,1]=>1 {{1,3,6,7},{2,4},{5}}=>[4,2,1]=>1 {{1,3,6},{2,4,7},{5}}=>[3,3,1]=>1 {{1,3,6},{2,4},{5,7}}=>[3,2,2]=>2 {{1,3,6},{2,4},{5},{7}}=>[3,2,1,1]=>1 {{1,3,7},{2,4,6},{5}}=>[3,3,1]=>1 {{1,3},{2,4,6,7},{5}}=>[2,4,1]=>1 {{1,3},{2,4,6},{5,7}}=>[2,3,2]=>2 {{1,3},{2,4,6},{5},{7}}=>[2,3,1,1]=>1 {{1,3,7},{2,4},{5,6}}=>[3,2,2]=>2 {{1,3},{2,4,7},{5,6}}=>[2,3,2]=>2 {{1,3},{2,4},{5,6,7}}=>[2,2,3]=>2 {{1,3},{2,4},{5,6},{7}}=>[2,2,2,1]=>1 {{1,3,7},{2,4},{5},{6}}=>[3,2,1,1]=>1 {{1,3},{2,4,7},{5},{6}}=>[2,3,1,1]=>1 {{1,3},{2,4},{5,7},{6}}=>[2,2,2,1]=>1 {{1,3},{2,4},{5},{6,7}}=>[2,2,1,2]=>1 {{1,3},{2,4},{5},{6},{7}}=>[2,2,1,1,1]=>1 {{1,3,5,6,7},{2},{4}}=>[5,1,1]=>1 {{1,3,5,6},{2,7},{4}}=>[4,2,1]=>1 {{1,3,5,6},{2},{4,7}}=>[4,1,2]=>1 {{1,3,5,6},{2},{4},{7}}=>[4,1,1,1]=>1 {{1,3,5,7},{2,6},{4}}=>[4,2,1]=>1 {{1,3,5},{2,6,7},{4}}=>[3,3,1]=>1 {{1,3,5},{2,6},{4,7}}=>[3,2,2]=>2 {{1,3,5},{2,6},{4},{7}}=>[3,2,1,1]=>1 {{1,3,5,7},{2},{4,6}}=>[4,1,2]=>1 {{1,3,5},{2,7},{4,6}}=>[3,2,2]=>2 {{1,3,5},{2},{4,6,7}}=>[3,1,3]=>1 {{1,3,5},{2},{4,6},{7}}=>[3,1,2,1]=>1 {{1,3,5,7},{2},{4},{6}}=>[4,1,1,1]=>1 {{1,3,5},{2,7},{4},{6}}=>[3,2,1,1]=>1 {{1,3,5},{2},{4,7},{6}}=>[3,1,2,1]=>1 {{1,3,5},{2},{4},{6,7}}=>[3,1,1,2]=>1 {{1,3,5},{2},{4},{6},{7}}=>[3,1,1,1,1]=>1 {{1,3,6,7},{2,5},{4}}=>[4,2,1]=>1 {{1,3,6},{2,5,7},{4}}=>[3,3,1]=>1 {{1,3,6},{2,5},{4,7}}=>[3,2,2]=>2 {{1,3,6},{2,5},{4},{7}}=>[3,2,1,1]=>1 {{1,3,7},{2,5,6},{4}}=>[3,3,1]=>1 {{1,3},{2,5,6,7},{4}}=>[2,4,1]=>1 {{1,3},{2,5,6},{4,7}}=>[2,3,2]=>2 {{1,3},{2,5,6},{4},{7}}=>[2,3,1,1]=>1 {{1,3,7},{2,5},{4,6}}=>[3,2,2]=>2 {{1,3},{2,5,7},{4,6}}=>[2,3,2]=>2 {{1,3},{2,5},{4,6,7}}=>[2,2,3]=>2 {{1,3},{2,5},{4,6},{7}}=>[2,2,2,1]=>1 {{1,3,7},{2,5},{4},{6}}=>[3,2,1,1]=>1 {{1,3},{2,5,7},{4},{6}}=>[2,3,1,1]=>1 {{1,3},{2,5},{4,7},{6}}=>[2,2,2,1]=>1 {{1,3},{2,5},{4},{6,7}}=>[2,2,1,2]=>1 {{1,3},{2,5},{4},{6},{7}}=>[2,2,1,1,1]=>1 {{1,3,6,7},{2},{4,5}}=>[4,1,2]=>1 {{1,3,6},{2,7},{4,5}}=>[3,2,2]=>2 {{1,3,6},{2},{4,5,7}}=>[3,1,3]=>1 {{1,3,6},{2},{4,5},{7}}=>[3,1,2,1]=>1 {{1,3,7},{2,6},{4,5}}=>[3,2,2]=>2 {{1,3},{2,6,7},{4,5}}=>[2,3,2]=>2 {{1,3},{2,6},{4,5,7}}=>[2,2,3]=>2 {{1,3},{2,6},{4,5},{7}}=>[2,2,2,1]=>1 {{1,3,7},{2},{4,5,6}}=>[3,1,3]=>1 {{1,3},{2,7},{4,5,6}}=>[2,2,3]=>2 {{1,3},{2},{4,5,6,7}}=>[2,1,4]=>1 {{1,3},{2},{4,5,6},{7}}=>[2,1,3,1]=>1 {{1,3,7},{2},{4,5},{6}}=>[3,1,2,1]=>1 {{1,3},{2,7},{4,5},{6}}=>[2,2,2,1]=>1 {{1,3},{2},{4,5,7},{6}}=>[2,1,3,1]=>1 {{1,3},{2},{4,5},{6,7}}=>[2,1,2,2]=>1 {{1,3},{2},{4,5},{6},{7}}=>[2,1,2,1,1]=>1 {{1,3,6,7},{2},{4},{5}}=>[4,1,1,1]=>1 {{1,3,6},{2,7},{4},{5}}=>[3,2,1,1]=>1 {{1,3,6},{2},{4,7},{5}}=>[3,1,2,1]=>1 {{1,3,6},{2},{4},{5,7}}=>[3,1,1,2]=>1 {{1,3,6},{2},{4},{5},{7}}=>[3,1,1,1,1]=>1 {{1,3,7},{2,6},{4},{5}}=>[3,2,1,1]=>1 {{1,3},{2,6,7},{4},{5}}=>[2,3,1,1]=>1 {{1,3},{2,6},{4,7},{5}}=>[2,2,2,1]=>1 {{1,3},{2,6},{4},{5,7}}=>[2,2,1,2]=>1 {{1,3},{2,6},{4},{5},{7}}=>[2,2,1,1,1]=>1 {{1,3,7},{2},{4,6},{5}}=>[3,1,2,1]=>1 {{1,3},{2,7},{4,6},{5}}=>[2,2,2,1]=>1 {{1,3},{2},{4,6,7},{5}}=>[2,1,3,1]=>1 {{1,3},{2},{4,6},{5,7}}=>[2,1,2,2]=>1 {{1,3},{2},{4,6},{5},{7}}=>[2,1,2,1,1]=>1 {{1,3,7},{2},{4},{5,6}}=>[3,1,1,2]=>1 {{1,3},{2,7},{4},{5,6}}=>[2,2,1,2]=>1 {{1,3},{2},{4,7},{5,6}}=>[2,1,2,2]=>1 {{1,3},{2},{4},{5,6,7}}=>[2,1,1,3]=>1 {{1,3},{2},{4},{5,6},{7}}=>[2,1,1,2,1]=>1 {{1,3,7},{2},{4},{5},{6}}=>[3,1,1,1,1]=>1 {{1,3},{2,7},{4},{5},{6}}=>[2,2,1,1,1]=>1 {{1,3},{2},{4,7},{5},{6}}=>[2,1,2,1,1]=>1 {{1,3},{2},{4},{5,7},{6}}=>[2,1,1,2,1]=>1 {{1,3},{2},{4},{5},{6,7}}=>[2,1,1,1,2]=>1 {{1,3},{2},{4},{5},{6},{7}}=>[2,1,1,1,1,1]=>1 {{1,4,5,6,7},{2,3}}=>[5,2]=>2 {{1,4,5,6},{2,3,7}}=>[4,3]=>3 {{1,4,5,6},{2,3},{7}}=>[4,2,1]=>1 {{1,4,5,7},{2,3,6}}=>[4,3]=>3 {{1,4,5},{2,3,6,7}}=>[3,4]=>3 {{1,4,5},{2,3,6},{7}}=>[3,3,1]=>1 {{1,4,5,7},{2,3},{6}}=>[4,2,1]=>1 {{1,4,5},{2,3,7},{6}}=>[3,3,1]=>1 {{1,4,5},{2,3},{6,7}}=>[3,2,2]=>2 {{1,4,5},{2,3},{6},{7}}=>[3,2,1,1]=>1 {{1,4,6,7},{2,3,5}}=>[4,3]=>3 {{1,4,6},{2,3,5,7}}=>[3,4]=>3 {{1,4,6},{2,3,5},{7}}=>[3,3,1]=>1 {{1,4,7},{2,3,5,6}}=>[3,4]=>3 {{1,4},{2,3,5,6,7}}=>[2,5]=>2 {{1,4},{2,3,5,6},{7}}=>[2,4,1]=>1 {{1,4,7},{2,3,5},{6}}=>[3,3,1]=>1 {{1,4},{2,3,5,7},{6}}=>[2,4,1]=>1 {{1,4},{2,3,5},{6,7}}=>[2,3,2]=>2 {{1,4},{2,3,5},{6},{7}}=>[2,3,1,1]=>1 {{1,4,6,7},{2,3},{5}}=>[4,2,1]=>1 {{1,4,6},{2,3,7},{5}}=>[3,3,1]=>1 {{1,4,6},{2,3},{5,7}}=>[3,2,2]=>2 {{1,4,6},{2,3},{5},{7}}=>[3,2,1,1]=>1 {{1,4,7},{2,3,6},{5}}=>[3,3,1]=>1 {{1,4},{2,3,6,7},{5}}=>[2,4,1]=>1 {{1,4},{2,3,6},{5,7}}=>[2,3,2]=>2 {{1,4},{2,3,6},{5},{7}}=>[2,3,1,1]=>1 {{1,4,7},{2,3},{5,6}}=>[3,2,2]=>2 {{1,4},{2,3,7},{5,6}}=>[2,3,2]=>2 {{1,4},{2,3},{5,6,7}}=>[2,2,3]=>2 {{1,4},{2,3},{5,6},{7}}=>[2,2,2,1]=>1 {{1,4,7},{2,3},{5},{6}}=>[3,2,1,1]=>1 {{1,4},{2,3,7},{5},{6}}=>[2,3,1,1]=>1 {{1,4},{2,3},{5,7},{6}}=>[2,2,2,1]=>1 {{1,4},{2,3},{5},{6,7}}=>[2,2,1,2]=>1 {{1,4},{2,3},{5},{6},{7}}=>[2,2,1,1,1]=>1 {{1,5,6,7},{2,3,4}}=>[4,3]=>3 {{1,5,6},{2,3,4,7}}=>[3,4]=>3 {{1,5,6},{2,3,4},{7}}=>[3,3,1]=>1 {{1,5,7},{2,3,4,6}}=>[3,4]=>3 {{1,5},{2,3,4,6,7}}=>[2,5]=>2 {{1,5},{2,3,4,6},{7}}=>[2,4,1]=>1 {{1,5,7},{2,3,4},{6}}=>[3,3,1]=>1 {{1,5},{2,3,4,7},{6}}=>[2,4,1]=>1 {{1,5},{2,3,4},{6,7}}=>[2,3,2]=>2 {{1,5},{2,3,4},{6},{7}}=>[2,3,1,1]=>1 {{1,6,7},{2,3,4,5}}=>[3,4]=>3 {{1,6},{2,3,4,5,7}}=>[2,5]=>2 {{1,6},{2,3,4,5},{7}}=>[2,4,1]=>1 {{1,7},{2,3,4,5,6}}=>[2,5]=>2 {{1},{2,3,4,5,6,7}}=>[1,6]=>1 {{1},{2,3,4,5,6},{7}}=>[1,5,1]=>1 {{1,7},{2,3,4,5},{6}}=>[2,4,1]=>1 {{1},{2,3,4,5,7},{6}}=>[1,5,1]=>1 {{1},{2,3,4,5},{6,7}}=>[1,4,2]=>1 {{1},{2,3,4,5},{6},{7}}=>[1,4,1,1]=>1 {{1,6,7},{2,3,4},{5}}=>[3,3,1]=>1 {{1,6},{2,3,4,7},{5}}=>[2,4,1]=>1 {{1,6},{2,3,4},{5,7}}=>[2,3,2]=>2 {{1,6},{2,3,4},{5},{7}}=>[2,3,1,1]=>1 {{1,7},{2,3,4,6},{5}}=>[2,4,1]=>1 {{1},{2,3,4,6,7},{5}}=>[1,5,1]=>1 {{1},{2,3,4,6},{5,7}}=>[1,4,2]=>1 {{1},{2,3,4,6},{5},{7}}=>[1,4,1,1]=>1 {{1,7},{2,3,4},{5,6}}=>[2,3,2]=>2 {{1},{2,3,4,7},{5,6}}=>[1,4,2]=>1 {{1},{2,3,4},{5,6,7}}=>[1,3,3]=>1 {{1},{2,3,4},{5,6},{7}}=>[1,3,2,1]=>1 {{1,7},{2,3,4},{5},{6}}=>[2,3,1,1]=>1 {{1},{2,3,4,7},{5},{6}}=>[1,4,1,1]=>1 {{1},{2,3,4},{5,7},{6}}=>[1,3,2,1]=>1 {{1},{2,3,4},{5},{6,7}}=>[1,3,1,2]=>1 {{1},{2,3,4},{5},{6},{7}}=>[1,3,1,1,1]=>1 {{1,5,6,7},{2,3},{4}}=>[4,2,1]=>1 {{1,5,6},{2,3,7},{4}}=>[3,3,1]=>1 {{1,5,6},{2,3},{4,7}}=>[3,2,2]=>2 {{1,5,6},{2,3},{4},{7}}=>[3,2,1,1]=>1 {{1,5,7},{2,3,6},{4}}=>[3,3,1]=>1 {{1,5},{2,3,6,7},{4}}=>[2,4,1]=>1 {{1,5},{2,3,6},{4,7}}=>[2,3,2]=>2 {{1,5},{2,3,6},{4},{7}}=>[2,3,1,1]=>1 {{1,5,7},{2,3},{4,6}}=>[3,2,2]=>2 {{1,5},{2,3,7},{4,6}}=>[2,3,2]=>2 {{1,5},{2,3},{4,6,7}}=>[2,2,3]=>2 {{1,5},{2,3},{4,6},{7}}=>[2,2,2,1]=>1 {{1,5,7},{2,3},{4},{6}}=>[3,2,1,1]=>1 {{1,5},{2,3,7},{4},{6}}=>[2,3,1,1]=>1 {{1,5},{2,3},{4,7},{6}}=>[2,2,2,1]=>1 {{1,5},{2,3},{4},{6,7}}=>[2,2,1,2]=>1 {{1,5},{2,3},{4},{6},{7}}=>[2,2,1,1,1]=>1 {{1,6,7},{2,3,5},{4}}=>[3,3,1]=>1 {{1,6},{2,3,5,7},{4}}=>[2,4,1]=>1 {{1,6},{2,3,5},{4,7}}=>[2,3,2]=>2 {{1,6},{2,3,5},{4},{7}}=>[2,3,1,1]=>1 {{1,7},{2,3,5,6},{4}}=>[2,4,1]=>1 {{1},{2,3,5,6,7},{4}}=>[1,5,1]=>1 {{1},{2,3,5,6},{4,7}}=>[1,4,2]=>1 {{1},{2,3,5,6},{4},{7}}=>[1,4,1,1]=>1 {{1,7},{2,3,5},{4,6}}=>[2,3,2]=>2 {{1},{2,3,5,7},{4,6}}=>[1,4,2]=>1 {{1},{2,3,5},{4,6,7}}=>[1,3,3]=>1 {{1},{2,3,5},{4,6},{7}}=>[1,3,2,1]=>1 {{1,7},{2,3,5},{4},{6}}=>[2,3,1,1]=>1 {{1},{2,3,5,7},{4},{6}}=>[1,4,1,1]=>1 {{1},{2,3,5},{4,7},{6}}=>[1,3,2,1]=>1 {{1},{2,3,5},{4},{6,7}}=>[1,3,1,2]=>1 {{1},{2,3,5},{4},{6},{7}}=>[1,3,1,1,1]=>1 {{1,6,7},{2,3},{4,5}}=>[3,2,2]=>2 {{1,6},{2,3,7},{4,5}}=>[2,3,2]=>2 {{1,6},{2,3},{4,5,7}}=>[2,2,3]=>2 {{1,6},{2,3},{4,5},{7}}=>[2,2,2,1]=>1 {{1,7},{2,3,6},{4,5}}=>[2,3,2]=>2 {{1},{2,3,6,7},{4,5}}=>[1,4,2]=>1 {{1},{2,3,6},{4,5,7}}=>[1,3,3]=>1 {{1},{2,3,6},{4,5},{7}}=>[1,3,2,1]=>1 {{1,7},{2,3},{4,5,6}}=>[2,2,3]=>2 {{1},{2,3,7},{4,5,6}}=>[1,3,3]=>1 {{1},{2,3},{4,5,6,7}}=>[1,2,4]=>1 {{1},{2,3},{4,5,6},{7}}=>[1,2,3,1]=>1 {{1,7},{2,3},{4,5},{6}}=>[2,2,2,1]=>1 {{1},{2,3,7},{4,5},{6}}=>[1,3,2,1]=>1 {{1},{2,3},{4,5,7},{6}}=>[1,2,3,1]=>1 {{1},{2,3},{4,5},{6,7}}=>[1,2,2,2]=>1 {{1},{2,3},{4,5},{6},{7}}=>[1,2,2,1,1]=>1 {{1,6,7},{2,3},{4},{5}}=>[3,2,1,1]=>1 {{1,6},{2,3,7},{4},{5}}=>[2,3,1,1]=>1 {{1,6},{2,3},{4,7},{5}}=>[2,2,2,1]=>1 {{1,6},{2,3},{4},{5,7}}=>[2,2,1,2]=>1 {{1,6},{2,3},{4},{5},{7}}=>[2,2,1,1,1]=>1 {{1,7},{2,3,6},{4},{5}}=>[2,3,1,1]=>1 {{1},{2,3,6,7},{4},{5}}=>[1,4,1,1]=>1 {{1},{2,3,6},{4,7},{5}}=>[1,3,2,1]=>1 {{1},{2,3,6},{4},{5,7}}=>[1,3,1,2]=>1 {{1},{2,3,6},{4},{5},{7}}=>[1,3,1,1,1]=>1 {{1,7},{2,3},{4,6},{5}}=>[2,2,2,1]=>1 {{1},{2,3,7},{4,6},{5}}=>[1,3,2,1]=>1 {{1},{2,3},{4,6,7},{5}}=>[1,2,3,1]=>1 {{1},{2,3},{4,6},{5,7}}=>[1,2,2,2]=>1 {{1},{2,3},{4,6},{5},{7}}=>[1,2,2,1,1]=>1 {{1,7},{2,3},{4},{5,6}}=>[2,2,1,2]=>1 {{1},{2,3,7},{4},{5,6}}=>[1,3,1,2]=>1 {{1},{2,3},{4,7},{5,6}}=>[1,2,2,2]=>1 {{1},{2,3},{4},{5,6,7}}=>[1,2,1,3]=>1 {{1},{2,3},{4},{5,6},{7}}=>[1,2,1,2,1]=>1 {{1,7},{2,3},{4},{5},{6}}=>[2,2,1,1,1]=>1 {{1},{2,3,7},{4},{5},{6}}=>[1,3,1,1,1]=>1 {{1},{2,3},{4,7},{5},{6}}=>[1,2,2,1,1]=>1 {{1},{2,3},{4},{5,7},{6}}=>[1,2,1,2,1]=>1 {{1},{2,3},{4},{5},{6,7}}=>[1,2,1,1,2]=>1 {{1},{2,3},{4},{5},{6},{7}}=>[1,2,1,1,1,1]=>1 {{1,4,5,6,7},{2},{3}}=>[5,1,1]=>1 {{1,4,5,6},{2,7},{3}}=>[4,2,1]=>1 {{1,4,5,6},{2},{3,7}}=>[4,1,2]=>1 {{1,4,5,6},{2},{3},{7}}=>[4,1,1,1]=>1 {{1,4,5,7},{2,6},{3}}=>[4,2,1]=>1 {{1,4,5},{2,6,7},{3}}=>[3,3,1]=>1 {{1,4,5},{2,6},{3,7}}=>[3,2,2]=>2 {{1,4,5},{2,6},{3},{7}}=>[3,2,1,1]=>1 {{1,4,5,7},{2},{3,6}}=>[4,1,2]=>1 {{1,4,5},{2,7},{3,6}}=>[3,2,2]=>2 {{1,4,5},{2},{3,6,7}}=>[3,1,3]=>1 {{1,4,5},{2},{3,6},{7}}=>[3,1,2,1]=>1 {{1,4,5,7},{2},{3},{6}}=>[4,1,1,1]=>1 {{1,4,5},{2,7},{3},{6}}=>[3,2,1,1]=>1 {{1,4,5},{2},{3,7},{6}}=>[3,1,2,1]=>1 {{1,4,5},{2},{3},{6,7}}=>[3,1,1,2]=>1 {{1,4,5},{2},{3},{6},{7}}=>[3,1,1,1,1]=>1 {{1,4,6,7},{2,5},{3}}=>[4,2,1]=>1 {{1,4,6},{2,5,7},{3}}=>[3,3,1]=>1 {{1,4,6},{2,5},{3,7}}=>[3,2,2]=>2 {{1,4,6},{2,5},{3},{7}}=>[3,2,1,1]=>1 {{1,4,7},{2,5,6},{3}}=>[3,3,1]=>1 {{1,4},{2,5,6,7},{3}}=>[2,4,1]=>1 {{1,4},{2,5,6},{3,7}}=>[2,3,2]=>2 {{1,4},{2,5,6},{3},{7}}=>[2,3,1,1]=>1 {{1,4,7},{2,5},{3,6}}=>[3,2,2]=>2 {{1,4},{2,5,7},{3,6}}=>[2,3,2]=>2 {{1,4},{2,5},{3,6,7}}=>[2,2,3]=>2 {{1,4},{2,5},{3,6},{7}}=>[2,2,2,1]=>1 {{1,4,7},{2,5},{3},{6}}=>[3,2,1,1]=>1 {{1,4},{2,5,7},{3},{6}}=>[2,3,1,1]=>1 {{1,4},{2,5},{3,7},{6}}=>[2,2,2,1]=>1 {{1,4},{2,5},{3},{6,7}}=>[2,2,1,2]=>1 {{1,4},{2,5},{3},{6},{7}}=>[2,2,1,1,1]=>1 {{1,4,6,7},{2},{3,5}}=>[4,1,2]=>1 {{1,4,6},{2,7},{3,5}}=>[3,2,2]=>2 {{1,4,6},{2},{3,5,7}}=>[3,1,3]=>1 {{1,4,6},{2},{3,5},{7}}=>[3,1,2,1]=>1 {{1,4,7},{2,6},{3,5}}=>[3,2,2]=>2 {{1,4},{2,6,7},{3,5}}=>[2,3,2]=>2 {{1,4},{2,6},{3,5,7}}=>[2,2,3]=>2 {{1,4},{2,6},{3,5},{7}}=>[2,2,2,1]=>1 {{1,4,7},{2},{3,5,6}}=>[3,1,3]=>1 {{1,4},{2,7},{3,5,6}}=>[2,2,3]=>2 {{1,4},{2},{3,5,6,7}}=>[2,1,4]=>1 {{1,4},{2},{3,5,6},{7}}=>[2,1,3,1]=>1 {{1,4,7},{2},{3,5},{6}}=>[3,1,2,1]=>1 {{1,4},{2,7},{3,5},{6}}=>[2,2,2,1]=>1 {{1,4},{2},{3,5,7},{6}}=>[2,1,3,1]=>1 {{1,4},{2},{3,5},{6,7}}=>[2,1,2,2]=>1 {{1,4},{2},{3,5},{6},{7}}=>[2,1,2,1,1]=>1 {{1,4,6,7},{2},{3},{5}}=>[4,1,1,1]=>1 {{1,4,6},{2,7},{3},{5}}=>[3,2,1,1]=>1 {{1,4,6},{2},{3,7},{5}}=>[3,1,2,1]=>1 {{1,4,6},{2},{3},{5,7}}=>[3,1,1,2]=>1 {{1,4,6},{2},{3},{5},{7}}=>[3,1,1,1,1]=>1 {{1,4,7},{2,6},{3},{5}}=>[3,2,1,1]=>1 {{1,4},{2,6,7},{3},{5}}=>[2,3,1,1]=>1 {{1,4},{2,6},{3,7},{5}}=>[2,2,2,1]=>1 {{1,4},{2,6},{3},{5,7}}=>[2,2,1,2]=>1 {{1,4},{2,6},{3},{5},{7}}=>[2,2,1,1,1]=>1 {{1,4,7},{2},{3,6},{5}}=>[3,1,2,1]=>1 {{1,4},{2,7},{3,6},{5}}=>[2,2,2,1]=>1 {{1,4},{2},{3,6,7},{5}}=>[2,1,3,1]=>1 {{1,4},{2},{3,6},{5,7}}=>[2,1,2,2]=>1 {{1,4},{2},{3,6},{5},{7}}=>[2,1,2,1,1]=>1 {{1,4,7},{2},{3},{5,6}}=>[3,1,1,2]=>1 {{1,4},{2,7},{3},{5,6}}=>[2,2,1,2]=>1 {{1,4},{2},{3,7},{5,6}}=>[2,1,2,2]=>1 {{1,4},{2},{3},{5,6,7}}=>[2,1,1,3]=>1 {{1,4},{2},{3},{5,6},{7}}=>[2,1,1,2,1]=>1 {{1,4,7},{2},{3},{5},{6}}=>[3,1,1,1,1]=>1 {{1,4},{2,7},{3},{5},{6}}=>[2,2,1,1,1]=>1 {{1,4},{2},{3,7},{5},{6}}=>[2,1,2,1,1]=>1 {{1,4},{2},{3},{5,7},{6}}=>[2,1,1,2,1]=>1 {{1,4},{2},{3},{5},{6,7}}=>[2,1,1,1,2]=>1 {{1,4},{2},{3},{5},{6},{7}}=>[2,1,1,1,1,1]=>1 {{1,5,6,7},{2,4},{3}}=>[4,2,1]=>1 {{1,5,6},{2,4,7},{3}}=>[3,3,1]=>1 {{1,5,6},{2,4},{3,7}}=>[3,2,2]=>2 {{1,5,6},{2,4},{3},{7}}=>[3,2,1,1]=>1 {{1,5,7},{2,4,6},{3}}=>[3,3,1]=>1 {{1,5},{2,4,6,7},{3}}=>[2,4,1]=>1 {{1,5},{2,4,6},{3,7}}=>[2,3,2]=>2 {{1,5},{2,4,6},{3},{7}}=>[2,3,1,1]=>1 {{1,5,7},{2,4},{3,6}}=>[3,2,2]=>2 {{1,5},{2,4,7},{3,6}}=>[2,3,2]=>2 {{1,5},{2,4},{3,6,7}}=>[2,2,3]=>2 {{1,5},{2,4},{3,6},{7}}=>[2,2,2,1]=>1 {{1,5,7},{2,4},{3},{6}}=>[3,2,1,1]=>1 {{1,5},{2,4,7},{3},{6}}=>[2,3,1,1]=>1 {{1,5},{2,4},{3,7},{6}}=>[2,2,2,1]=>1 {{1,5},{2,4},{3},{6,7}}=>[2,2,1,2]=>1 {{1,5},{2,4},{3},{6},{7}}=>[2,2,1,1,1]=>1 {{1,6,7},{2,4,5},{3}}=>[3,3,1]=>1 {{1,6},{2,4,5,7},{3}}=>[2,4,1]=>1 {{1,6},{2,4,5},{3,7}}=>[2,3,2]=>2 {{1,6},{2,4,5},{3},{7}}=>[2,3,1,1]=>1 {{1,7},{2,4,5,6},{3}}=>[2,4,1]=>1 {{1},{2,4,5,6,7},{3}}=>[1,5,1]=>1 {{1},{2,4,5,6},{3,7}}=>[1,4,2]=>1 {{1},{2,4,5,6},{3},{7}}=>[1,4,1,1]=>1 {{1,7},{2,4,5},{3,6}}=>[2,3,2]=>2 {{1},{2,4,5,7},{3,6}}=>[1,4,2]=>1 {{1},{2,4,5},{3,6,7}}=>[1,3,3]=>1 {{1},{2,4,5},{3,6},{7}}=>[1,3,2,1]=>1 {{1,7},{2,4,5},{3},{6}}=>[2,3,1,1]=>1 {{1},{2,4,5,7},{3},{6}}=>[1,4,1,1]=>1 {{1},{2,4,5},{3,7},{6}}=>[1,3,2,1]=>1 {{1},{2,4,5},{3},{6,7}}=>[1,3,1,2]=>1 {{1},{2,4,5},{3},{6},{7}}=>[1,3,1,1,1]=>1 {{1,6,7},{2,4},{3,5}}=>[3,2,2]=>2 {{1,6},{2,4,7},{3,5}}=>[2,3,2]=>2 {{1,6},{2,4},{3,5,7}}=>[2,2,3]=>2 {{1,6},{2,4},{3,5},{7}}=>[2,2,2,1]=>1 {{1,7},{2,4,6},{3,5}}=>[2,3,2]=>2 {{1},{2,4,6,7},{3,5}}=>[1,4,2]=>1 {{1},{2,4,6},{3,5,7}}=>[1,3,3]=>1 {{1},{2,4,6},{3,5},{7}}=>[1,3,2,1]=>1 {{1,7},{2,4},{3,5,6}}=>[2,2,3]=>2 {{1},{2,4,7},{3,5,6}}=>[1,3,3]=>1 {{1},{2,4},{3,5,6,7}}=>[1,2,4]=>1 {{1},{2,4},{3,5,6},{7}}=>[1,2,3,1]=>1 {{1,7},{2,4},{3,5},{6}}=>[2,2,2,1]=>1 {{1},{2,4,7},{3,5},{6}}=>[1,3,2,1]=>1 {{1},{2,4},{3,5,7},{6}}=>[1,2,3,1]=>1 {{1},{2,4},{3,5},{6,7}}=>[1,2,2,2]=>1 {{1},{2,4},{3,5},{6},{7}}=>[1,2,2,1,1]=>1 {{1,6,7},{2,4},{3},{5}}=>[3,2,1,1]=>1 {{1,6},{2,4,7},{3},{5}}=>[2,3,1,1]=>1 {{1,6},{2,4},{3,7},{5}}=>[2,2,2,1]=>1 {{1,6},{2,4},{3},{5,7}}=>[2,2,1,2]=>1 {{1,6},{2,4},{3},{5},{7}}=>[2,2,1,1,1]=>1 {{1,7},{2,4,6},{3},{5}}=>[2,3,1,1]=>1 {{1},{2,4,6,7},{3},{5}}=>[1,4,1,1]=>1 {{1},{2,4,6},{3,7},{5}}=>[1,3,2,1]=>1 {{1},{2,4,6},{3},{5,7}}=>[1,3,1,2]=>1 {{1},{2,4,6},{3},{5},{7}}=>[1,3,1,1,1]=>1 {{1,7},{2,4},{3,6},{5}}=>[2,2,2,1]=>1 {{1},{2,4,7},{3,6},{5}}=>[1,3,2,1]=>1 {{1},{2,4},{3,6,7},{5}}=>[1,2,3,1]=>1 {{1},{2,4},{3,6},{5,7}}=>[1,2,2,2]=>1 {{1},{2,4},{3,6},{5},{7}}=>[1,2,2,1,1]=>1 {{1,7},{2,4},{3},{5,6}}=>[2,2,1,2]=>1 {{1},{2,4,7},{3},{5,6}}=>[1,3,1,2]=>1 {{1},{2,4},{3,7},{5,6}}=>[1,2,2,2]=>1 {{1},{2,4},{3},{5,6,7}}=>[1,2,1,3]=>1 {{1},{2,4},{3},{5,6},{7}}=>[1,2,1,2,1]=>1 {{1,7},{2,4},{3},{5},{6}}=>[2,2,1,1,1]=>1 {{1},{2,4,7},{3},{5},{6}}=>[1,3,1,1,1]=>1 {{1},{2,4},{3,7},{5},{6}}=>[1,2,2,1,1]=>1 {{1},{2,4},{3},{5,7},{6}}=>[1,2,1,2,1]=>1 {{1},{2,4},{3},{5},{6,7}}=>[1,2,1,1,2]=>1 {{1},{2,4},{3},{5},{6},{7}}=>[1,2,1,1,1,1]=>1 {{1,5,6,7},{2},{3,4}}=>[4,1,2]=>1 {{1,5,6},{2,7},{3,4}}=>[3,2,2]=>2 {{1,5,6},{2},{3,4,7}}=>[3,1,3]=>1 {{1,5,6},{2},{3,4},{7}}=>[3,1,2,1]=>1 {{1,5,7},{2,6},{3,4}}=>[3,2,2]=>2 {{1,5},{2,6,7},{3,4}}=>[2,3,2]=>2 {{1,5},{2,6},{3,4,7}}=>[2,2,3]=>2 {{1,5},{2,6},{3,4},{7}}=>[2,2,2,1]=>1 {{1,5,7},{2},{3,4,6}}=>[3,1,3]=>1 {{1,5},{2,7},{3,4,6}}=>[2,2,3]=>2 {{1,5},{2},{3,4,6,7}}=>[2,1,4]=>1 {{1,5},{2},{3,4,6},{7}}=>[2,1,3,1]=>1 {{1,5,7},{2},{3,4},{6}}=>[3,1,2,1]=>1 {{1,5},{2,7},{3,4},{6}}=>[2,2,2,1]=>1 {{1,5},{2},{3,4,7},{6}}=>[2,1,3,1]=>1 {{1,5},{2},{3,4},{6,7}}=>[2,1,2,2]=>1 {{1,5},{2},{3,4},{6},{7}}=>[2,1,2,1,1]=>1 {{1,6,7},{2,5},{3,4}}=>[3,2,2]=>2 {{1,6},{2,5,7},{3,4}}=>[2,3,2]=>2 {{1,6},{2,5},{3,4,7}}=>[2,2,3]=>2 {{1,6},{2,5},{3,4},{7}}=>[2,2,2,1]=>1 {{1,7},{2,5,6},{3,4}}=>[2,3,2]=>2 {{1},{2,5,6,7},{3,4}}=>[1,4,2]=>1 {{1},{2,5,6},{3,4,7}}=>[1,3,3]=>1 {{1},{2,5,6},{3,4},{7}}=>[1,3,2,1]=>1 {{1,7},{2,5},{3,4,6}}=>[2,2,3]=>2 {{1},{2,5,7},{3,4,6}}=>[1,3,3]=>1 {{1},{2,5},{3,4,6,7}}=>[1,2,4]=>1 {{1},{2,5},{3,4,6},{7}}=>[1,2,3,1]=>1 {{1,7},{2,5},{3,4},{6}}=>[2,2,2,1]=>1 {{1},{2,5,7},{3,4},{6}}=>[1,3,2,1]=>1 {{1},{2,5},{3,4,7},{6}}=>[1,2,3,1]=>1 {{1},{2,5},{3,4},{6,7}}=>[1,2,2,2]=>1 {{1},{2,5},{3,4},{6},{7}}=>[1,2,2,1,1]=>1 {{1,6,7},{2},{3,4,5}}=>[3,1,3]=>1 {{1,6},{2,7},{3,4,5}}=>[2,2,3]=>2 {{1,6},{2},{3,4,5,7}}=>[2,1,4]=>1 {{1,6},{2},{3,4,5},{7}}=>[2,1,3,1]=>1 {{1,7},{2,6},{3,4,5}}=>[2,2,3]=>2 {{1},{2,6,7},{3,4,5}}=>[1,3,3]=>1 {{1},{2,6},{3,4,5,7}}=>[1,2,4]=>1 {{1},{2,6},{3,4,5},{7}}=>[1,2,3,1]=>1 {{1,7},{2},{3,4,5,6}}=>[2,1,4]=>1 {{1},{2,7},{3,4,5,6}}=>[1,2,4]=>1 {{1},{2},{3,4,5,6,7}}=>[1,1,5]=>1 {{1},{2},{3,4,5,6},{7}}=>[1,1,4,1]=>1 {{1,7},{2},{3,4,5},{6}}=>[2,1,3,1]=>1 {{1},{2,7},{3,4,5},{6}}=>[1,2,3,1]=>1 {{1},{2},{3,4,5,7},{6}}=>[1,1,4,1]=>1 {{1},{2},{3,4,5},{6,7}}=>[1,1,3,2]=>1 {{1},{2},{3,4,5},{6},{7}}=>[1,1,3,1,1]=>1 {{1,6,7},{2},{3,4},{5}}=>[3,1,2,1]=>1 {{1,6},{2,7},{3,4},{5}}=>[2,2,2,1]=>1 {{1,6},{2},{3,4,7},{5}}=>[2,1,3,1]=>1 {{1,6},{2},{3,4},{5,7}}=>[2,1,2,2]=>1 {{1,6},{2},{3,4},{5},{7}}=>[2,1,2,1,1]=>1 {{1,7},{2,6},{3,4},{5}}=>[2,2,2,1]=>1 {{1},{2,6,7},{3,4},{5}}=>[1,3,2,1]=>1 {{1},{2,6},{3,4,7},{5}}=>[1,2,3,1]=>1 {{1},{2,6},{3,4},{5,7}}=>[1,2,2,2]=>1 {{1},{2,6},{3,4},{5},{7}}=>[1,2,2,1,1]=>1 {{1,7},{2},{3,4,6},{5}}=>[2,1,3,1]=>1 {{1},{2,7},{3,4,6},{5}}=>[1,2,3,1]=>1 {{1},{2},{3,4,6,7},{5}}=>[1,1,4,1]=>1 {{1},{2},{3,4,6},{5,7}}=>[1,1,3,2]=>1 {{1},{2},{3,4,6},{5},{7}}=>[1,1,3,1,1]=>1 {{1,7},{2},{3,4},{5,6}}=>[2,1,2,2]=>1 {{1},{2,7},{3,4},{5,6}}=>[1,2,2,2]=>1 {{1},{2},{3,4,7},{5,6}}=>[1,1,3,2]=>1 {{1},{2},{3,4},{5,6,7}}=>[1,1,2,3]=>1 {{1},{2},{3,4},{5,6},{7}}=>[1,1,2,2,1]=>1 {{1,7},{2},{3,4},{5},{6}}=>[2,1,2,1,1]=>1 {{1},{2,7},{3,4},{5},{6}}=>[1,2,2,1,1]=>1 {{1},{2},{3,4,7},{5},{6}}=>[1,1,3,1,1]=>1 {{1},{2},{3,4},{5,7},{6}}=>[1,1,2,2,1]=>1 {{1},{2},{3,4},{5},{6,7}}=>[1,1,2,1,2]=>1 {{1},{2},{3,4},{5},{6},{7}}=>[1,1,2,1,1,1]=>1 {{1,5,6,7},{2},{3},{4}}=>[4,1,1,1]=>1 {{1,5,6},{2,7},{3},{4}}=>[3,2,1,1]=>1 {{1,5,6},{2},{3,7},{4}}=>[3,1,2,1]=>1 {{1,5,6},{2},{3},{4,7}}=>[3,1,1,2]=>1 {{1,5,6},{2},{3},{4},{7}}=>[3,1,1,1,1]=>1 {{1,5,7},{2,6},{3},{4}}=>[3,2,1,1]=>1 {{1,5},{2,6,7},{3},{4}}=>[2,3,1,1]=>1 {{1,5},{2,6},{3,7},{4}}=>[2,2,2,1]=>1 {{1,5},{2,6},{3},{4,7}}=>[2,2,1,2]=>1 {{1,5},{2,6},{3},{4},{7}}=>[2,2,1,1,1]=>1 {{1,5,7},{2},{3,6},{4}}=>[3,1,2,1]=>1 {{1,5},{2,7},{3,6},{4}}=>[2,2,2,1]=>1 {{1,5},{2},{3,6,7},{4}}=>[2,1,3,1]=>1 {{1,5},{2},{3,6},{4,7}}=>[2,1,2,2]=>1 {{1,5},{2},{3,6},{4},{7}}=>[2,1,2,1,1]=>1 {{1,5,7},{2},{3},{4,6}}=>[3,1,1,2]=>1 {{1,5},{2,7},{3},{4,6}}=>[2,2,1,2]=>1 {{1,5},{2},{3,7},{4,6}}=>[2,1,2,2]=>1 {{1,5},{2},{3},{4,6,7}}=>[2,1,1,3]=>1 {{1,5},{2},{3},{4,6},{7}}=>[2,1,1,2,1]=>1 {{1,5,7},{2},{3},{4},{6}}=>[3,1,1,1,1]=>1 {{1,5},{2,7},{3},{4},{6}}=>[2,2,1,1,1]=>1 {{1,5},{2},{3,7},{4},{6}}=>[2,1,2,1,1]=>1 {{1,5},{2},{3},{4,7},{6}}=>[2,1,1,2,1]=>1 {{1,5},{2},{3},{4},{6,7}}=>[2,1,1,1,2]=>1 {{1,5},{2},{3},{4},{6},{7}}=>[2,1,1,1,1,1]=>1 {{1,6,7},{2,5},{3},{4}}=>[3,2,1,1]=>1 {{1,6},{2,5,7},{3},{4}}=>[2,3,1,1]=>1 {{1,6},{2,5},{3,7},{4}}=>[2,2,2,1]=>1 {{1,6},{2,5},{3},{4,7}}=>[2,2,1,2]=>1 {{1,6},{2,5},{3},{4},{7}}=>[2,2,1,1,1]=>1 {{1,7},{2,5,6},{3},{4}}=>[2,3,1,1]=>1 {{1},{2,5,6,7},{3},{4}}=>[1,4,1,1]=>1 {{1},{2,5,6},{3,7},{4}}=>[1,3,2,1]=>1 {{1},{2,5,6},{3},{4,7}}=>[1,3,1,2]=>1 {{1},{2,5,6},{3},{4},{7}}=>[1,3,1,1,1]=>1 {{1,7},{2,5},{3,6},{4}}=>[2,2,2,1]=>1 {{1},{2,5,7},{3,6},{4}}=>[1,3,2,1]=>1 {{1},{2,5},{3,6,7},{4}}=>[1,2,3,1]=>1 {{1},{2,5},{3,6},{4,7}}=>[1,2,2,2]=>1 {{1},{2,5},{3,6},{4},{7}}=>[1,2,2,1,1]=>1 {{1,7},{2,5},{3},{4,6}}=>[2,2,1,2]=>1 {{1},{2,5,7},{3},{4,6}}=>[1,3,1,2]=>1 {{1},{2,5},{3,7},{4,6}}=>[1,2,2,2]=>1 {{1},{2,5},{3},{4,6,7}}=>[1,2,1,3]=>1 {{1},{2,5},{3},{4,6},{7}}=>[1,2,1,2,1]=>1 {{1,7},{2,5},{3},{4},{6}}=>[2,2,1,1,1]=>1 {{1},{2,5,7},{3},{4},{6}}=>[1,3,1,1,1]=>1 {{1},{2,5},{3,7},{4},{6}}=>[1,2,2,1,1]=>1 {{1},{2,5},{3},{4,7},{6}}=>[1,2,1,2,1]=>1 {{1},{2,5},{3},{4},{6,7}}=>[1,2,1,1,2]=>1 {{1},{2,5},{3},{4},{6},{7}}=>[1,2,1,1,1,1]=>1 {{1,6,7},{2},{3,5},{4}}=>[3,1,2,1]=>1 {{1,6},{2,7},{3,5},{4}}=>[2,2,2,1]=>1 {{1,6},{2},{3,5,7},{4}}=>[2,1,3,1]=>1 {{1,6},{2},{3,5},{4,7}}=>[2,1,2,2]=>1 {{1,6},{2},{3,5},{4},{7}}=>[2,1,2,1,1]=>1 {{1,7},{2,6},{3,5},{4}}=>[2,2,2,1]=>1 {{1},{2,6,7},{3,5},{4}}=>[1,3,2,1]=>1 {{1},{2,6},{3,5,7},{4}}=>[1,2,3,1]=>1 {{1},{2,6},{3,5},{4,7}}=>[1,2,2,2]=>1 {{1},{2,6},{3,5},{4},{7}}=>[1,2,2,1,1]=>1 {{1,7},{2},{3,5,6},{4}}=>[2,1,3,1]=>1 {{1},{2,7},{3,5,6},{4}}=>[1,2,3,1]=>1 {{1},{2},{3,5,6,7},{4}}=>[1,1,4,1]=>1 {{1},{2},{3,5,6},{4,7}}=>[1,1,3,2]=>1 {{1},{2},{3,5,6},{4},{7}}=>[1,1,3,1,1]=>1 {{1,7},{2},{3,5},{4,6}}=>[2,1,2,2]=>1 {{1},{2,7},{3,5},{4,6}}=>[1,2,2,2]=>1 {{1},{2},{3,5,7},{4,6}}=>[1,1,3,2]=>1 {{1},{2},{3,5},{4,6,7}}=>[1,1,2,3]=>1 {{1},{2},{3,5},{4,6},{7}}=>[1,1,2,2,1]=>1 {{1,7},{2},{3,5},{4},{6}}=>[2,1,2,1,1]=>1 {{1},{2,7},{3,5},{4},{6}}=>[1,2,2,1,1]=>1 {{1},{2},{3,5,7},{4},{6}}=>[1,1,3,1,1]=>1 {{1},{2},{3,5},{4,7},{6}}=>[1,1,2,2,1]=>1 {{1},{2},{3,5},{4},{6,7}}=>[1,1,2,1,2]=>1 {{1},{2},{3,5},{4},{6},{7}}=>[1,1,2,1,1,1]=>1 {{1,6,7},{2},{3},{4,5}}=>[3,1,1,2]=>1 {{1,6},{2,7},{3},{4,5}}=>[2,2,1,2]=>1 {{1,6},{2},{3,7},{4,5}}=>[2,1,2,2]=>1 {{1,6},{2},{3},{4,5,7}}=>[2,1,1,3]=>1 {{1,6},{2},{3},{4,5},{7}}=>[2,1,1,2,1]=>1 {{1,7},{2,6},{3},{4,5}}=>[2,2,1,2]=>1 {{1},{2,6,7},{3},{4,5}}=>[1,3,1,2]=>1 {{1},{2,6},{3,7},{4,5}}=>[1,2,2,2]=>1 {{1},{2,6},{3},{4,5,7}}=>[1,2,1,3]=>1 {{1},{2,6},{3},{4,5},{7}}=>[1,2,1,2,1]=>1 {{1,7},{2},{3,6},{4,5}}=>[2,1,2,2]=>1 {{1},{2,7},{3,6},{4,5}}=>[1,2,2,2]=>1 {{1},{2},{3,6,7},{4,5}}=>[1,1,3,2]=>1 {{1},{2},{3,6},{4,5,7}}=>[1,1,2,3]=>1 {{1},{2},{3,6},{4,5},{7}}=>[1,1,2,2,1]=>1 {{1,7},{2},{3},{4,5,6}}=>[2,1,1,3]=>1 {{1},{2,7},{3},{4,5,6}}=>[1,2,1,3]=>1 {{1},{2},{3,7},{4,5,6}}=>[1,1,2,3]=>1 {{1},{2},{3},{4,5,6,7}}=>[1,1,1,4]=>1 {{1},{2},{3},{4,5,6},{7}}=>[1,1,1,3,1]=>1 {{1,7},{2},{3},{4,5},{6}}=>[2,1,1,2,1]=>1 {{1},{2,7},{3},{4,5},{6}}=>[1,2,1,2,1]=>1 {{1},{2},{3,7},{4,5},{6}}=>[1,1,2,2,1]=>1 {{1},{2},{3},{4,5,7},{6}}=>[1,1,1,3,1]=>1 {{1},{2},{3},{4,5},{6,7}}=>[1,1,1,2,2]=>1 {{1},{2},{3},{4,5},{6},{7}}=>[1,1,1,2,1,1]=>1 {{1,6,7},{2},{3},{4},{5}}=>[3,1,1,1,1]=>1 {{1,6},{2,7},{3},{4},{5}}=>[2,2,1,1,1]=>1 {{1,6},{2},{3,7},{4},{5}}=>[2,1,2,1,1]=>1 {{1,6},{2},{3},{4,7},{5}}=>[2,1,1,2,1]=>1 {{1,6},{2},{3},{4},{5,7}}=>[2,1,1,1,2]=>1 {{1,6},{2},{3},{4},{5},{7}}=>[2,1,1,1,1,1]=>1 {{1,7},{2,6},{3},{4},{5}}=>[2,2,1,1,1]=>1 {{1},{2,6,7},{3},{4},{5}}=>[1,3,1,1,1]=>1 {{1},{2,6},{3,7},{4},{5}}=>[1,2,2,1,1]=>1 {{1},{2,6},{3},{4,7},{5}}=>[1,2,1,2,1]=>1 {{1},{2,6},{3},{4},{5,7}}=>[1,2,1,1,2]=>1 {{1},{2,6},{3},{4},{5},{7}}=>[1,2,1,1,1,1]=>1 {{1,7},{2},{3,6},{4},{5}}=>[2,1,2,1,1]=>1 {{1},{2,7},{3,6},{4},{5}}=>[1,2,2,1,1]=>1 {{1},{2},{3,6,7},{4},{5}}=>[1,1,3,1,1]=>1 {{1},{2},{3,6},{4,7},{5}}=>[1,1,2,2,1]=>1 {{1},{2},{3,6},{4},{5,7}}=>[1,1,2,1,2]=>1 {{1},{2},{3,6},{4},{5},{7}}=>[1,1,2,1,1,1]=>1 {{1,7},{2},{3},{4,6},{5}}=>[2,1,1,2,1]=>1 {{1},{2,7},{3},{4,6},{5}}=>[1,2,1,2,1]=>1 {{1},{2},{3,7},{4,6},{5}}=>[1,1,2,2,1]=>1 {{1},{2},{3},{4,6,7},{5}}=>[1,1,1,3,1]=>1 {{1},{2},{3},{4,6},{5,7}}=>[1,1,1,2,2]=>1 {{1},{2},{3},{4,6},{5},{7}}=>[1,1,1,2,1,1]=>1 {{1,7},{2},{3},{4},{5,6}}=>[2,1,1,1,2]=>1 {{1},{2,7},{3},{4},{5,6}}=>[1,2,1,1,2]=>1 {{1},{2},{3,7},{4},{5,6}}=>[1,1,2,1,2]=>1 {{1},{2},{3},{4,7},{5,6}}=>[1,1,1,2,2]=>1 {{1},{2},{3},{4},{5,6,7}}=>[1,1,1,1,3]=>1 {{1},{2},{3},{4},{5,6},{7}}=>[1,1,1,1,2,1]=>1 {{1,7},{2},{3},{4},{5},{6}}=>[2,1,1,1,1,1]=>1 {{1},{2,7},{3},{4},{5},{6}}=>[1,2,1,1,1,1]=>1 {{1},{2},{3,7},{4},{5},{6}}=>[1,1,2,1,1,1]=>1 {{1},{2},{3},{4,7},{5},{6}}=>[1,1,1,2,1,1]=>1 {{1},{2},{3},{4},{5,7},{6}}=>[1,1,1,1,2,1]=>1 {{1},{2},{3},{4},{5},{6,7}}=>[1,1,1,1,1,2]=>1 {{1},{2},{3},{4},{5},{6},{7}}=>[1,1,1,1,1,1,1]=>1 {{1,2},{3,4},{5,6},{7,8}}=>[2,2,2,2]=>2 {{1,3},{2,4},{5,6},{7,8}}=>[2,2,2,2]=>2 {{1,4},{2,3},{5,6},{7,8}}=>[2,2,2,2]=>2 {{1,5},{2,3},{4,6},{7,8}}=>[2,2,2,2]=>2 {{1,6},{2,3},{4,5},{7,8}}=>[2,2,2,2]=>2 {{1,7},{2,3},{4,5},{6,8}}=>[2,2,2,2]=>2 {{1,8},{2,3},{4,5},{6,7}}=>[2,2,2,2]=>2 {{1,8},{2,4},{3,5},{6,7}}=>[2,2,2,2]=>2 {{1,7},{2,4},{3,5},{6,8}}=>[2,2,2,2]=>2 {{1,6},{2,4},{3,5},{7,8}}=>[2,2,2,2]=>2 {{1,5},{2,4},{3,6},{7,8}}=>[2,2,2,2]=>2 {{1,4},{2,5},{3,6},{7,8}}=>[2,2,2,2]=>2 {{1,3},{2,5},{4,6},{7,8}}=>[2,2,2,2]=>2 {{1,2},{3,5},{4,6},{7,8}}=>[2,2,2,2]=>2 {{1,2},{3,6},{4,5},{7,8}}=>[2,2,2,2]=>2 {{1,3},{2,6},{4,5},{7,8}}=>[2,2,2,2]=>2 {{1,4},{2,6},{3,5},{7,8}}=>[2,2,2,2]=>2 {{1,5},{2,6},{3,4},{7,8}}=>[2,2,2,2]=>2 {{1,6},{2,5},{3,4},{7,8}}=>[2,2,2,2]=>2 {{1,7},{2,5},{3,4},{6,8}}=>[2,2,2,2]=>2 {{1,8},{2,5},{3,4},{6,7}}=>[2,2,2,2]=>2 {{1,8},{2,6},{3,4},{5,7}}=>[2,2,2,2]=>2 {{1,7},{2,6},{3,4},{5,8}}=>[2,2,2,2]=>2 {{1,6},{2,7},{3,4},{5,8}}=>[2,2,2,2]=>2 {{1,5},{2,7},{3,4},{6,8}}=>[2,2,2,2]=>2 {{1,4},{2,7},{3,5},{6,8}}=>[2,2,2,2]=>2 {{1,3},{2,7},{4,5},{6,8}}=>[2,2,2,2]=>2 {{1,2},{3,7},{4,5},{6,8}}=>[2,2,2,2]=>2 {{1,2},{3,8},{4,5},{6,7}}=>[2,2,2,2]=>2 {{1,3},{2,8},{4,5},{6,7}}=>[2,2,2,2]=>2 {{1,4},{2,8},{3,5},{6,7}}=>[2,2,2,2]=>2 {{1,5},{2,8},{3,4},{6,7}}=>[2,2,2,2]=>2 {{1,6},{2,8},{3,4},{5,7}}=>[2,2,2,2]=>2 {{1,7},{2,8},{3,4},{5,6}}=>[2,2,2,2]=>2 {{1,8},{2,7},{3,4},{5,6}}=>[2,2,2,2]=>2 {{1,8},{2,7},{3,5},{4,6}}=>[2,2,2,2]=>2 {{1,7},{2,8},{3,5},{4,6}}=>[2,2,2,2]=>2 {{1,6},{2,8},{3,5},{4,7}}=>[2,2,2,2]=>2 {{1,5},{2,8},{3,6},{4,7}}=>[2,2,2,2]=>2 {{1,4},{2,8},{3,6},{5,7}}=>[2,2,2,2]=>2 {{1,3},{2,8},{4,6},{5,7}}=>[2,2,2,2]=>2 {{1,2},{3,8},{4,6},{5,7}}=>[2,2,2,2]=>2 {{1,2},{3,7},{4,6},{5,8}}=>[2,2,2,2]=>2 {{1,3},{2,7},{4,6},{5,8}}=>[2,2,2,2]=>2 {{1,4},{2,7},{3,6},{5,8}}=>[2,2,2,2]=>2 {{1,5},{2,7},{3,6},{4,8}}=>[2,2,2,2]=>2 {{1,6},{2,7},{3,5},{4,8}}=>[2,2,2,2]=>2 {{1,7},{2,6},{3,5},{4,8}}=>[2,2,2,2]=>2 {{1,8},{2,6},{3,5},{4,7}}=>[2,2,2,2]=>2 {{1,8},{2,5},{3,6},{4,7}}=>[2,2,2,2]=>2 {{1,7},{2,5},{3,6},{4,8}}=>[2,2,2,2]=>2 {{1,6},{2,5},{3,7},{4,8}}=>[2,2,2,2]=>2 {{1,5},{2,6},{3,7},{4,8}}=>[2,2,2,2]=>2 {{1,4},{2,6},{3,7},{5,8}}=>[2,2,2,2]=>2 {{1,3},{2,6},{4,7},{5,8}}=>[2,2,2,2]=>2 {{1,2},{3,6},{4,7},{5,8}}=>[2,2,2,2]=>2 {{1,2},{3,5},{4,7},{6,8}}=>[2,2,2,2]=>2 {{1,3},{2,5},{4,7},{6,8}}=>[2,2,2,2]=>2 {{1,4},{2,5},{3,7},{6,8}}=>[2,2,2,2]=>2 {{1,5},{2,4},{3,7},{6,8}}=>[2,2,2,2]=>2 {{1,6},{2,4},{3,7},{5,8}}=>[2,2,2,2]=>2 {{1,7},{2,4},{3,6},{5,8}}=>[2,2,2,2]=>2 {{1,8},{2,4},{3,6},{5,7}}=>[2,2,2,2]=>2 {{1,8},{2,3},{4,6},{5,7}}=>[2,2,2,2]=>2 {{1,7},{2,3},{4,6},{5,8}}=>[2,2,2,2]=>2 {{1,6},{2,3},{4,7},{5,8}}=>[2,2,2,2]=>2 {{1,5},{2,3},{4,7},{6,8}}=>[2,2,2,2]=>2 {{1,4},{2,3},{5,7},{6,8}}=>[2,2,2,2]=>2 {{1,3},{2,4},{5,7},{6,8}}=>[2,2,2,2]=>2 {{1,2},{3,4},{5,7},{6,8}}=>[2,2,2,2]=>2 {{1,2},{3,4},{5,8},{6,7}}=>[2,2,2,2]=>2 {{1,3},{2,4},{5,8},{6,7}}=>[2,2,2,2]=>2 {{1,4},{2,3},{5,8},{6,7}}=>[2,2,2,2]=>2 {{1,5},{2,3},{4,8},{6,7}}=>[2,2,2,2]=>2 {{1,6},{2,3},{4,8},{5,7}}=>[2,2,2,2]=>2 {{1,7},{2,3},{4,8},{5,6}}=>[2,2,2,2]=>2 {{1,8},{2,3},{4,7},{5,6}}=>[2,2,2,2]=>2 {{1,8},{2,4},{3,7},{5,6}}=>[2,2,2,2]=>2 {{1,7},{2,4},{3,8},{5,6}}=>[2,2,2,2]=>2 {{1,6},{2,4},{3,8},{5,7}}=>[2,2,2,2]=>2 {{1,5},{2,4},{3,8},{6,7}}=>[2,2,2,2]=>2 {{1,4},{2,5},{3,8},{6,7}}=>[2,2,2,2]=>2 {{1,3},{2,5},{4,8},{6,7}}=>[2,2,2,2]=>2 {{1,2},{3,5},{4,8},{6,7}}=>[2,2,2,2]=>2 {{1,2},{3,6},{4,8},{5,7}}=>[2,2,2,2]=>2 {{1,3},{2,6},{4,8},{5,7}}=>[2,2,2,2]=>2 {{1,4},{2,6},{3,8},{5,7}}=>[2,2,2,2]=>2 {{1,5},{2,6},{3,8},{4,7}}=>[2,2,2,2]=>2 {{1,6},{2,5},{3,8},{4,7}}=>[2,2,2,2]=>2 {{1,7},{2,5},{3,8},{4,6}}=>[2,2,2,2]=>2 {{1,8},{2,5},{3,7},{4,6}}=>[2,2,2,2]=>2 {{1,8},{2,6},{3,7},{4,5}}=>[2,2,2,2]=>2 {{1,7},{2,6},{3,8},{4,5}}=>[2,2,2,2]=>2 {{1,6},{2,7},{3,8},{4,5}}=>[2,2,2,2]=>2 {{1,5},{2,7},{3,8},{4,6}}=>[2,2,2,2]=>2 {{1,4},{2,7},{3,8},{5,6}}=>[2,2,2,2]=>2 {{1,3},{2,7},{4,8},{5,6}}=>[2,2,2,2]=>2 {{1,2},{3,7},{4,8},{5,6}}=>[2,2,2,2]=>2 {{1,2},{3,8},{4,7},{5,6}}=>[2,2,2,2]=>2 {{1,3},{2,8},{4,7},{5,6}}=>[2,2,2,2]=>2 {{1,4},{2,8},{3,7},{5,6}}=>[2,2,2,2]=>2 {{1,5},{2,8},{3,7},{4,6}}=>[2,2,2,2]=>2 {{1,6},{2,8},{3,7},{4,5}}=>[2,2,2,2]=>2 {{1,7},{2,8},{3,6},{4,5}}=>[2,2,2,2]=>2 {{1,8},{2,7},{3,6},{4,5}}=>[2,2,2,2]=>2 {{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,1,1,1,1,1,1,1]=>1 {{1},{2},{3},{4},{5},{6},{7,8}}=>[1,1,1,1,1,1,2]=>1 {{1},{2},{3},{4},{5},{6,8},{7}}=>[1,1,1,1,1,2,1]=>1 {{1},{2},{3},{4},{5},{6,7,8}}=>[1,1,1,1,1,3]=>1 {{1},{2},{3},{4},{5,6},{7},{8}}=>[1,1,1,1,2,1,1]=>1 {{1},{2},{3},{4},{5,6},{7,8}}=>[1,1,1,1,2,2]=>1 {{1},{2},{3},{4},{5,7},{6},{8}}=>[1,1,1,1,2,1,1]=>1 {{1},{2},{3},{4},{5,8},{6},{7}}=>[1,1,1,1,2,1,1]=>1 {{1},{2},{3},{4},{5,7,8},{6}}=>[1,1,1,1,3,1]=>1 {{1},{2},{3},{4},{5,6,7},{8}}=>[1,1,1,1,3,1]=>1 {{1},{2},{3},{4},{5,8},{6,7}}=>[1,1,1,1,2,2]=>1 {{1},{2},{3},{4},{5,6,8},{7}}=>[1,1,1,1,3,1]=>1 {{1},{2},{3},{4},{5,6,7,8}}=>[1,1,1,1,4]=>1 {{1},{2},{3},{4,5},{6},{7,8}}=>[1,1,1,2,1,2]=>1 {{1},{2},{3},{4,8},{5},{6},{7}}=>[1,1,1,2,1,1,1]=>1 {{1},{2},{3},{4,6,7,8},{5}}=>[1,1,1,4,1]=>1 {{1},{2},{3},{4,8},{5,6},{7}}=>[1,1,1,2,2,1]=>1 {{1},{2},{3},{4,7,8},{5,6}}=>[1,1,1,3,2]=>1 {{1},{2},{3},{4,8},{5,7},{6}}=>[1,1,1,2,2,1]=>1 {{1},{2},{3},{4,8},{5,6,7}}=>[1,1,1,2,3]=>1 {{1},{2},{3},{4,5,6,7,8}}=>[1,1,1,5]=>1 {{1},{2},{3,4},{5},{6},{7,8}}=>[1,1,2,1,1,2]=>1 {{1},{2},{3,4},{5},{6,8},{7}}=>[1,1,2,1,2,1]=>1 {{1},{2},{3,4},{5,6},{7},{8}}=>[1,1,2,2,1,1]=>1 {{1},{2},{3,4},{5,8},{6},{7}}=>[1,1,2,2,1,1]=>1 {{1},{2},{3,4},{5,8},{6,7}}=>[1,1,2,2,2]=>1 {{1},{2},{3,4},{5,6,7,8}}=>[1,1,2,4]=>1 {{1},{2},{3,5},{4},{6,7,8}}=>[1,1,2,1,3]=>1 {{1},{2},{3,8},{4},{5},{6},{7}}=>[1,1,2,1,1,1,1]=>1 {{1},{2},{3,7,8},{4},{5},{6}}=>[1,1,3,1,1,1]=>1 {{1},{2},{3,7,8},{4},{5,6}}=>[1,1,3,1,2]=>1 {{1},{2},{3,5,7,8},{4},{6}}=>[1,1,4,1,1]=>1 {{1},{2},{3,8},{4},{5,6,7}}=>[1,1,2,1,3]=>1 {{1},{2},{3,5,8},{4},{6,7}}=>[1,1,3,1,2]=>1 {{1},{2},{3,5,6,7,8},{4}}=>[1,1,5,1]=>1 {{1},{2},{3,4,5},{6},{7},{8}}=>[1,1,3,1,1,1]=>1 {{1},{2},{3,4,5},{6,7,8}}=>[1,1,3,3]=>1 {{1},{2},{3,8},{4,5},{6},{7}}=>[1,1,2,2,1,1]=>1 {{1},{2},{3,6,7,8},{4,5}}=>[1,1,4,2]=>1 {{1},{2},{3,8},{4,6},{5},{7}}=>[1,1,2,2,1,1]=>1 {{1},{2},{3,7,8},{4,6},{5}}=>[1,1,3,2,1]=>1 {{1},{2},{3,8},{4,7},{5},{6}}=>[1,1,2,2,1,1]=>1 {{1},{2},{3,8},{4,6,7},{5}}=>[1,1,2,3,1]=>1 {{1},{2},{3,4,5,6},{7,8}}=>[1,1,4,2]=>1 {{1},{2},{3,8},{4,5,6},{7}}=>[1,1,2,3,1]=>1 {{1},{2},{3,7,8},{4,5,6}}=>[1,1,3,3]=>1 {{1},{2},{3,8},{4,7},{5,6}}=>[1,1,2,2,2]=>1 {{1},{2},{3,4,7,8},{5,6}}=>[1,1,4,2]=>1 {{1},{2},{3,4,5,8},{6},{7}}=>[1,1,4,1,1]=>1 {{1},{2},{3,4,5,6,7},{8}}=>[1,1,5,1]=>1 {{1},{2},{3,8},{4,5,6,7}}=>[1,1,2,4]=>1 {{1},{2},{3,4,8},{5,6,7}}=>[1,1,3,3]=>1 {{1},{2},{3,4,5,8},{6,7}}=>[1,1,4,2]=>1 {{1},{2},{3,4,5,6,8},{7}}=>[1,1,5,1]=>1 {{1},{2},{3,4,5,6,7,8}}=>[1,1,6]=>1 {{1},{2,3},{4},{5},{6},{7,8}}=>[1,2,1,1,1,2]=>1 {{1},{2,3},{4},{5},{6,7},{8}}=>[1,2,1,1,2,1]=>1 {{1},{2,3},{4},{5},{6,8},{7}}=>[1,2,1,1,2,1]=>1 {{1},{2,3},{4},{5,8},{6,7}}=>[1,2,1,2,2]=>1 {{1},{2,3},{4},{5,6,7,8}}=>[1,2,1,4]=>1 {{1},{2,3},{4,5},{6,7},{8}}=>[1,2,2,2,1]=>1 {{1},{2,3},{4,5},{6,8},{7}}=>[1,2,2,2,1]=>1 {{1},{2,3},{4,5},{6,7,8}}=>[1,2,2,3]=>1 {{1},{2,3},{4,6,7},{5},{8}}=>[1,2,3,1,1]=>1 {{1},{2,3},{4,6,8},{5},{7}}=>[1,2,3,1,1]=>1 {{1},{2,3},{4,6,7,8},{5}}=>[1,2,4,1]=>1 {{1},{2,3},{4,5,6},{7,8}}=>[1,2,3,2]=>1 {{1},{2,3},{4,7},{5,6},{8}}=>[1,2,2,2,1]=>1 {{1},{2,3},{4,8},{5,6},{7}}=>[1,2,2,2,1]=>1 {{1},{2,3},{4,7,8},{5,6}}=>[1,2,3,2]=>1 {{1},{2,3},{4,8},{5,7},{6}}=>[1,2,2,2,1]=>1 {{1},{2,3},{4,5,8},{6},{7}}=>[1,2,3,1,1]=>1 {{1},{2,3},{4,8},{5,6,7}}=>[1,2,2,3]=>1 {{1},{2,3},{4,5,8},{6,7}}=>[1,2,3,2]=>1 {{1},{2,3},{4,5,6,8},{7}}=>[1,2,4,1]=>1 {{1},{2,3},{4,5,6,7,8}}=>[1,2,5]=>1 {{1},{2,4},{3},{5},{6},{7,8}}=>[1,2,1,1,1,2]=>1 {{1},{2,4},{3},{5},{6,8},{7}}=>[1,2,1,1,2,1]=>1 {{1},{2,4},{3},{5},{6,7,8}}=>[1,2,1,1,3]=>1 {{1},{2,4},{3},{5,6},{7,8}}=>[1,2,1,2,2]=>1 {{1},{2,4},{3},{5,7},{6},{8}}=>[1,2,1,2,1,1]=>1 {{1},{2,4},{3},{5,7,8},{6}}=>[1,2,1,3,1]=>1 {{1},{2,4},{3},{5,8},{6,7}}=>[1,2,1,2,2]=>1 {{1},{2,4},{3},{5,6,7,8}}=>[1,2,1,4]=>1 {{1},{2,5},{3},{4},{6,8},{7}}=>[1,2,1,1,2,1]=>1 {{1},{2,8},{3},{4},{5},{6},{7}}=>[1,2,1,1,1,1,1]=>1 {{1},{2,7,8},{3},{4},{5},{6}}=>[1,3,1,1,1,1]=>1 {{1},{2,5,8},{3},{4},{6},{7}}=>[1,3,1,1,1,1]=>1 {{1},{2,8},{3},{4},{5,6,7}}=>[1,2,1,1,3]=>1 {{1},{2,5,6,8},{3},{4},{7}}=>[1,4,1,1,1]=>1 {{1},{2,5,6,7,8},{3},{4}}=>[1,5,1,1]=>1 {{1},{2,4,5},{3},{6,7},{8}}=>[1,3,1,2,1]=>1 {{1},{2,4,5},{3},{6,8},{7}}=>[1,3,1,2,1]=>1 {{1},{2,4,5},{3},{6,7,8}}=>[1,3,1,3]=>1 {{1},{2,6},{3},{4,5},{7,8}}=>[1,2,1,2,2]=>1 {{1},{2,6,8},{3},{4,5},{7}}=>[1,3,1,2,1]=>1 {{1},{2,6,7,8},{3},{4,5}}=>[1,4,1,2]=>1 {{1},{2,4,6},{3},{5},{7,8}}=>[1,3,1,1,2]=>1 {{1},{2,4,6,7},{3},{5},{8}}=>[1,4,1,1,1]=>1 {{1},{2,8},{3},{4,6,7},{5}}=>[1,2,1,3,1]=>1 {{1},{2,4,8},{3},{5},{6,7}}=>[1,3,1,1,2]=>1 {{1},{2,4,6,8},{3},{5},{7}}=>[1,4,1,1,1]=>1 {{1},{2,4,6,7,8},{3},{5}}=>[1,5,1,1]=>1 {{1},{2,7,8},{3},{4,5,6}}=>[1,3,1,3]=>1 {{1},{2,4,7},{3},{5,6},{8}}=>[1,3,1,2,1]=>1 {{1},{2,8},{3},{4,7},{5,6}}=>[1,2,1,2,2]=>1 {{1},{2,4,8},{3},{5,6},{7}}=>[1,3,1,2,1]=>1 {{1},{2,4,7,8},{3},{5,6}}=>[1,4,1,2]=>1 {{1},{2,4,8},{3},{5,7},{6}}=>[1,3,1,2,1]=>1 {{1},{2,4,5,7,8},{3},{6}}=>[1,5,1,1]=>1 {{1},{2,4,8},{3},{5,6,7}}=>[1,3,1,3]=>1 {{1},{2,4,5,8},{3},{6,7}}=>[1,4,1,2]=>1 {{1},{2,4,5,6,8},{3},{7}}=>[1,5,1,1]=>1 {{1},{2,4,5,6,7,8},{3}}=>[1,6,1]=>1 {{1},{2,3,4},{5},{6},{7},{8}}=>[1,3,1,1,1,1]=>1 {{1},{2,3,4},{5},{6,8},{7}}=>[1,3,1,2,1]=>1 {{1},{2,3,4},{5},{6,7,8}}=>[1,3,1,3]=>1 {{1},{2,3,4},{5,6},{7,8}}=>[1,3,2,2]=>1 {{1},{2,3,4},{5,6,7},{8}}=>[1,3,3,1]=>1 {{1},{2,3,4},{5,8},{6,7}}=>[1,3,2,2]=>1 {{1},{2,3,4},{5,6,8},{7}}=>[1,3,3,1]=>1 {{1},{2,5},{3,4},{6,7},{8}}=>[1,2,2,2,1]=>1 {{1},{2,5},{3,4},{6,8},{7}}=>[1,2,2,2,1]=>1 {{1},{2,5},{3,4},{6,7,8}}=>[1,2,2,3]=>1 {{1},{2,8},{3,4},{5},{6},{7}}=>[1,2,2,1,1,1]=>1 {{1},{2,6,7},{3,4},{5},{8}}=>[1,3,2,1,1]=>1 {{1},{2,6,8},{3,4},{5},{7}}=>[1,3,2,1,1]=>1 {{1},{2,7},{3,4},{5,6},{8}}=>[1,2,2,2,1]=>1 {{1},{2,8},{3,4},{5,6},{7}}=>[1,2,2,2,1]=>1 {{1},{2,7,8},{3,4},{5,6}}=>[1,3,2,2]=>1 {{1},{2,8},{3,4},{5,7},{6}}=>[1,2,2,2,1]=>1 {{1},{2,8},{3,4},{5,6,7}}=>[1,2,2,3]=>1 {{1},{2,5,8},{3,4},{6,7}}=>[1,3,2,2]=>1 {{1},{2,5,6,7,8},{3,4}}=>[1,5,2]=>1 {{1},{2,3,5},{4},{6},{7},{8}}=>[1,3,1,1,1,1]=>1 {{1},{2,3,5},{4},{6,7,8}}=>[1,3,1,3]=>1 {{1},{2,6},{3,5},{4},{7,8}}=>[1,2,2,1,2]=>1 {{1},{2,7},{3,5},{4},{6},{8}}=>[1,2,2,1,1,1]=>1 {{1},{2,8},{3,5},{4},{6},{7}}=>[1,2,2,1,1,1]=>1 {{1},{2,6,7},{3,5},{4},{8}}=>[1,3,2,1,1]=>1 {{1},{2,8},{3,5},{4},{6,7}}=>[1,2,2,1,2]=>1 {{1},{2,6,8},{3,5},{4},{7}}=>[1,3,2,1,1]=>1 {{1},{2,6,7,8},{3,5},{4}}=>[1,4,2,1]=>1 {{1},{2,3,6},{4},{5},{7},{8}}=>[1,3,1,1,1,1]=>1 {{1},{2,3,7},{4},{5},{6},{8}}=>[1,3,1,1,1,1]=>1 {{1},{2,8},{3,7},{4},{5},{6}}=>[1,2,2,1,1,1]=>1 {{1},{2,3,8},{4},{5},{6},{7}}=>[1,3,1,1,1,1]=>1 {{1},{2,3,7,8},{4},{5},{6}}=>[1,4,1,1,1]=>1 {{1},{2,3,6,7},{4},{5},{8}}=>[1,4,1,1,1]=>1 {{1},{2,3,6,8},{4},{5},{7}}=>[1,4,1,1,1]=>1 {{1},{2,3,6,7,8},{4},{5}}=>[1,5,1,1]=>1 {{1},{2,7},{3,5,6},{4},{8}}=>[1,2,3,1,1]=>1 {{1},{2,8},{3,5,6},{4},{7}}=>[1,2,3,1,1]=>1 {{1},{2,7,8},{3,5,6},{4}}=>[1,3,3,1]=>1 {{1},{2,3,7},{4},{5,6},{8}}=>[1,3,1,2,1]=>1 {{1},{2,8},{3,7},{4},{5,6}}=>[1,2,2,1,2]=>1 {{1},{2,3,5,7},{4},{6},{8}}=>[1,4,1,1,1]=>1 {{1},{2,8},{3,5,7},{4},{6}}=>[1,2,3,1,1]=>1 {{1},{2,3,5,8},{4},{6},{7}}=>[1,4,1,1,1]=>1 {{1},{2,3,5,7,8},{4},{6}}=>[1,5,1,1]=>1 {{1},{2,3,5,6,7},{4},{8}}=>[1,5,1,1]=>1 {{1},{2,8},{3,5,6,7},{4}}=>[1,2,4,1]=>1 {{1},{2,3,8},{4},{5,6,7}}=>[1,3,1,3]=>1 {{1},{2,3,5,8},{4},{6,7}}=>[1,4,1,2]=>1 {{1},{2,3,5,6,8},{4},{7}}=>[1,5,1,1]=>1 {{1},{2,3,5,6,7,8},{4}}=>[1,6,1]=>1 {{1},{2,8},{3,4,5},{6},{7}}=>[1,2,3,1,1]=>1 {{1},{2,8},{3,4,5},{6,7}}=>[1,2,3,2]=>1 {{1},{2,6,8},{3,4,5},{7}}=>[1,3,3,1]=>1 {{1},{2,6,7,8},{3,4,5}}=>[1,4,3]=>1 {{1},{2,3,6},{4,5},{7,8}}=>[1,3,2,2]=>1 {{1},{2,7},{3,6},{4,5},{8}}=>[1,2,2,2,1]=>1 {{1},{2,8},{3,6},{4,5},{7}}=>[1,2,2,2,1]=>1 {{1},{2,7,8},{3,6},{4,5}}=>[1,3,2,2]=>1 {{1},{2,8},{3,7},{4,5},{6}}=>[1,2,2,2,1]=>1 {{1},{2,3,8},{4,5},{6},{7}}=>[1,3,2,1,1]=>1 {{1},{2,3,6,7},{4,5},{8}}=>[1,4,2,1]=>1 {{1},{2,8},{3,6,7},{4,5}}=>[1,2,3,2]=>1 {{1},{2,3,8},{4,5},{6,7}}=>[1,3,2,2]=>1 {{1},{2,3,6,8},{4,5},{7}}=>[1,4,2,1]=>1 {{1},{2,3,4,6},{5},{7,8}}=>[1,4,1,2]=>1 {{1},{2,8},{3,4,6},{5},{7}}=>[1,2,3,1,1]=>1 {{1},{2,7,8},{3,4,6},{5}}=>[1,3,3,1]=>1 {{1},{2,8},{3,7},{4,6},{5}}=>[1,2,2,2,1]=>1 {{1},{2,3,8},{4,6},{5},{7}}=>[1,3,2,1,1]=>1 {{1},{2,3,7,8},{4,6},{5}}=>[1,4,2,1]=>1 {{1},{2,8},{3,4,7},{5},{6}}=>[1,2,3,1,1]=>1 {{1},{2,3,4,8},{5},{6},{7}}=>[1,4,1,1,1]=>1 {{1},{2,3,4,7,8},{5},{6}}=>[1,5,1,1]=>1 {{1},{2,8},{3,4,6,7},{5}}=>[1,2,4,1]=>1 {{1},{2,3,8},{4,6,7},{5}}=>[1,3,3,1]=>1 {{1},{2,3,4,6,8},{5},{7}}=>[1,5,1,1]=>1 {{1},{2,3,4,6,7,8},{5}}=>[1,6,1]=>1 {{1},{2,3,4,5,6},{7},{8}}=>[1,5,1,1]=>1 {{1},{2,3,4,5,6},{7,8}}=>[1,5,2]=>1 {{1},{2,8},{3,4,5,6},{7}}=>[1,2,4,1]=>1 {{1},{2,8},{3,7},{4,5,6}}=>[1,2,2,3]=>1 {{1},{2,3,8},{4,5,6},{7}}=>[1,3,3,1]=>1 {{1},{2,8},{3,4,7},{5,6}}=>[1,2,3,2]=>1 {{1},{2,3,8},{4,7},{5,6}}=>[1,3,2,2]=>1 {{1},{2,3,4,8},{5,6},{7}}=>[1,4,2,1]=>1 {{1},{2,3,4,5,7},{6},{8}}=>[1,5,1,1]=>1 {{1},{2,8},{3,4,5,7},{6}}=>[1,2,4,1]=>1 {{1},{2,3,8},{4,5,7},{6}}=>[1,3,3,1]=>1 {{1},{2,3,4,8},{5,7},{6}}=>[1,4,2,1]=>1 {{1},{2,3,4,5,8},{6},{7}}=>[1,5,1,1]=>1 {{1},{2,3,4,5,7,8},{6}}=>[1,6,1]=>1 {{1},{2,3,4,5,6,7},{8}}=>[1,6,1]=>1 {{1},{2,8},{3,4,5,6,7}}=>[1,2,5]=>1 {{1},{2,3,4,8},{5,6,7}}=>[1,4,3]=>1 {{1},{2,3,4,5,8},{6,7}}=>[1,5,2]=>1 {{1},{2,3,4,5,6,8},{7}}=>[1,6,1]=>1 {{1},{2,3,4,5,6,7,8}}=>[1,7]=>1 {{1,2},{3},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1]=>1 {{1,2},{3},{4},{5},{6},{7,8}}=>[2,1,1,1,1,2]=>1 {{1,2},{3},{4},{5},{6,7},{8}}=>[2,1,1,1,2,1]=>1 {{1,2},{3},{4},{5},{6,8},{7}}=>[2,1,1,1,2,1]=>1 {{1,2},{3},{4},{5},{6,7,8}}=>[2,1,1,1,3]=>1 {{1,2},{3},{4},{5,6},{7},{8}}=>[2,1,1,2,1,1]=>1 {{1,2},{3},{4},{5,8},{6},{7}}=>[2,1,1,2,1,1]=>1 {{1,2},{3},{4},{5,8},{6,7}}=>[2,1,1,2,2]=>1 {{1,2},{3},{4},{5,6,7,8}}=>[2,1,1,4]=>1 {{1,2},{3},{4,5},{6},{7},{8}}=>[2,1,2,1,1,1]=>1 {{1,2},{3},{4,5},{6,7,8}}=>[2,1,2,3]=>1 {{1,2},{3},{4,8},{5},{6},{7}}=>[2,1,2,1,1,1]=>1 {{1,2},{3},{4,6,7,8},{5}}=>[2,1,4,1]=>1 {{1,2},{3},{4,5,6},{7,8}}=>[2,1,3,2]=>1 {{1,2},{3},{4,5,8},{6},{7}}=>[2,1,3,1,1]=>1 {{1,2},{3},{4,5,8},{6,7}}=>[2,1,3,2]=>1 {{1,2},{3},{4,5,6,8},{7}}=>[2,1,4,1]=>1 {{1,2},{3},{4,5,6,7,8}}=>[2,1,5]=>1 {{1,2},{3,4},{5},{6},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,2},{3,4},{5},{6,7,8}}=>[2,2,1,3]=>1 {{1,2},{3,4},{5,7,8},{6}}=>[2,2,3,1]=>1 {{1,2},{3,4},{5,6,8},{7}}=>[2,2,3,1]=>1 {{1,2},{3,4},{5,6,7,8}}=>[2,2,4]=>2 {{1,2},{3,5},{4},{6},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,2},{3,5},{4},{6,7,8}}=>[2,2,1,3]=>1 {{1,2},{3,6},{4},{5},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,2},{3,8},{4},{5},{6},{7}}=>[2,2,1,1,1,1]=>1 {{1,2},{3,6,7,8},{4},{5}}=>[2,4,1,1]=>1 {{1,2},{3,5,6},{4},{7,8}}=>[2,3,1,2]=>1 {{1,2},{3,7,8},{4},{5,6}}=>[2,3,1,2]=>1 {{1,2},{3,5,7,8},{4},{6}}=>[2,4,1,1]=>1 {{1,2},{3,8},{4},{5,6,7}}=>[2,2,1,3]=>1 {{1,2},{3,5,8},{4},{6,7}}=>[2,3,1,2]=>1 {{1,2},{3,5,6,8},{4},{7}}=>[2,4,1,1]=>1 {{1,2},{3,5,6,7,8},{4}}=>[2,5,1]=>1 {{1,2},{3,4,5},{6},{7},{8}}=>[2,3,1,1,1]=>1 {{1,2},{3,8},{4,5},{6},{7}}=>[2,2,2,1,1]=>1 {{1,2},{3,7,8},{4,5},{6}}=>[2,3,2,1]=>1 {{1,2},{3,6,8},{4,5},{7}}=>[2,3,2,1]=>1 {{1,2},{3,6,7,8},{4,5}}=>[2,4,2]=>2 {{1,2},{3,4,6},{5},{7,8}}=>[2,3,1,2]=>1 {{1,2},{3,7,8},{4,6},{5}}=>[2,3,2,1]=>1 {{1,2},{3,4,8},{5},{6},{7}}=>[2,3,1,1,1]=>1 {{1,2},{3,4,7,8},{5},{6}}=>[2,4,1,1]=>1 {{1,2},{3,8},{4,6,7},{5}}=>[2,2,3,1]=>1 {{1,2},{3,4,8},{5},{6,7}}=>[2,3,1,2]=>1 {{1,2},{3,4,6,8},{5},{7}}=>[2,4,1,1]=>1 {{1,2},{3,4,6,7,8},{5}}=>[2,5,1]=>1 {{1,2},{3,4,5,6},{7,8}}=>[2,4,2]=>2 {{1,2},{3,8},{4,5,6},{7}}=>[2,2,3,1]=>1 {{1,2},{3,4,8},{5,6},{7}}=>[2,3,2,1]=>1 {{1,2},{3,4,5,7},{6},{8}}=>[2,4,1,1]=>1 {{1,2},{3,8},{4,5,7},{6}}=>[2,2,3,1]=>1 {{1,2},{3,4,8},{5,7},{6}}=>[2,3,2,1]=>1 {{1,2},{3,4,5,8},{6},{7}}=>[2,4,1,1]=>1 {{1,2},{3,4,5,7,8},{6}}=>[2,5,1]=>1 {{1,2},{3,4,5,6,7},{8}}=>[2,5,1]=>1 {{1,2},{3,8},{4,5,6,7}}=>[2,2,4]=>2 {{1,2},{3,4,8},{5,6,7}}=>[2,3,3]=>2 {{1,2},{3,4,5,8},{6,7}}=>[2,4,2]=>2 {{1,2},{3,4,5,6,8},{7}}=>[2,5,1]=>1 {{1,2},{3,4,5,6,7,8}}=>[2,6]=>2 {{1,3},{2},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1]=>1 {{1,3},{2},{4},{5},{6},{7,8}}=>[2,1,1,1,1,2]=>1 {{1,3},{2},{4},{5},{6,8},{7}}=>[2,1,1,1,2,1]=>1 {{1,3},{2},{4},{5},{6,7,8}}=>[2,1,1,1,3]=>1 {{1,3},{2},{4},{5,7,8},{6}}=>[2,1,1,3,1]=>1 {{1,3},{2},{4},{5,8},{6,7}}=>[2,1,1,2,2]=>1 {{1,3},{2},{4},{5,6,7,8}}=>[2,1,1,4]=>1 {{1,3},{2},{4,5},{6,7},{8}}=>[2,1,2,2,1]=>1 {{1,3},{2},{4,5},{6,8},{7}}=>[2,1,2,2,1]=>1 {{1,3},{2},{4,5},{6,7,8}}=>[2,1,2,3]=>1 {{1,3},{2},{4,6},{5},{7,8}}=>[2,1,2,1,2]=>1 {{1,3},{2},{4,6,7},{5},{8}}=>[2,1,3,1,1]=>1 {{1,3},{2},{4,8},{5},{6,7}}=>[2,1,2,1,2]=>1 {{1,3},{2},{4,6,8},{5},{7}}=>[2,1,3,1,1]=>1 {{1,3},{2},{4,6,7,8},{5}}=>[2,1,4,1]=>1 {{1,3},{2},{4,5,6},{7,8}}=>[2,1,3,2]=>1 {{1,3},{2},{4,7},{5,6},{8}}=>[2,1,2,2,1]=>1 {{1,3},{2},{4,8},{5,6},{7}}=>[2,1,2,2,1]=>1 {{1,3},{2},{4,7,8},{5,6}}=>[2,1,3,2]=>1 {{1,3},{2},{4,8},{5,7},{6}}=>[2,1,2,2,1]=>1 {{1,3},{2},{4,5,7,8},{6}}=>[2,1,4,1]=>1 {{1,3},{2},{4,8},{5,6,7}}=>[2,1,2,3]=>1 {{1,3},{2},{4,5,8},{6,7}}=>[2,1,3,2]=>1 {{1,3},{2},{4,5,6,8},{7}}=>[2,1,4,1]=>1 {{1,3},{2},{4,5,6,7,8}}=>[2,1,5]=>1 {{1,4},{2},{3},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1]=>1 {{1,4},{2},{3},{5},{6,8},{7}}=>[2,1,1,1,2,1]=>1 {{1,4},{2},{3},{5},{6,7,8}}=>[2,1,1,1,3]=>1 {{1,4},{2},{3},{5,6},{7,8}}=>[2,1,1,2,2]=>1 {{1,4},{2},{3},{5,8},{6},{7}}=>[2,1,1,2,1,1]=>1 {{1,4},{2},{3},{5,8},{6,7}}=>[2,1,1,2,2]=>1 {{1,4},{2},{3},{5,6,7,8}}=>[2,1,1,4]=>1 {{1,5},{2},{3},{4},{6},{7},{8}}=>[2,1,1,1,1,1,1]=>1 {{1,5},{2},{3},{4},{6},{7,8}}=>[2,1,1,1,1,2]=>1 {{1,5},{2},{3},{4},{6,7,8}}=>[2,1,1,1,3]=>1 {{1,6},{2},{3},{4},{5},{7},{8}}=>[2,1,1,1,1,1,1]=>1 {{1,6},{2},{3},{4},{5},{7,8}}=>[2,1,1,1,1,2]=>1 {{1,7},{2},{3},{4},{5},{6},{8}}=>[2,1,1,1,1,1,1]=>1 {{1,8},{2},{3},{4},{5},{6},{7}}=>[2,1,1,1,1,1,1]=>1 {{1,7,8},{2},{3},{4},{5},{6}}=>[3,1,1,1,1,1]=>1 {{1,6,7},{2},{3},{4},{5},{8}}=>[3,1,1,1,1,1]=>1 {{1,8},{2},{3},{4},{5},{6,7}}=>[2,1,1,1,1,2]=>1 {{1,6,8},{2},{3},{4},{5},{7}}=>[3,1,1,1,1,1]=>1 {{1,6,7,8},{2},{3},{4},{5}}=>[4,1,1,1,1]=>1 {{1,5,6},{2},{3},{4},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,7},{2},{3},{4},{5,6},{8}}=>[2,1,1,1,2,1]=>1 {{1,8},{2},{3},{4},{5,6},{7}}=>[2,1,1,1,2,1]=>1 {{1,5,7},{2},{3},{4},{6},{8}}=>[3,1,1,1,1,1]=>1 {{1,8},{2},{3},{4},{5,7},{6}}=>[2,1,1,1,2,1]=>1 {{1,5,8},{2},{3},{4},{6},{7}}=>[3,1,1,1,1,1]=>1 {{1,5,7,8},{2},{3},{4},{6}}=>[4,1,1,1,1]=>1 {{1,5,6,7},{2},{3},{4},{8}}=>[4,1,1,1,1]=>1 {{1,8},{2},{3},{4},{5,6,7}}=>[2,1,1,1,3]=>1 {{1,5,6,8},{2},{3},{4},{7}}=>[4,1,1,1,1]=>1 {{1,5,6,7,8},{2},{3},{4}}=>[5,1,1,1]=>1 {{1,4,5},{2},{3},{6},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,4,5},{2},{3},{6,8},{7}}=>[3,1,1,2,1]=>1 {{1,4,5},{2},{3},{6,7,8}}=>[3,1,1,3]=>1 {{1,6},{2},{3},{4,5},{7},{8}}=>[2,1,1,2,1,1]=>1 {{1,8},{2},{3},{4,5},{6},{7}}=>[2,1,1,2,1,1]=>1 {{1,6,7},{2},{3},{4,5},{8}}=>[3,1,1,2,1]=>1 {{1,6,7,8},{2},{3},{4,5}}=>[4,1,1,2]=>1 {{1,4,6},{2},{3},{5},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,7},{2},{3},{4,6},{5},{8}}=>[2,1,1,2,1,1]=>1 {{1,4,6,8},{2},{3},{5},{7}}=>[4,1,1,1,1]=>1 {{1,4,5,6},{2},{3},{7},{8}}=>[4,1,1,1,1]=>1 {{1,4,5,6},{2},{3},{7,8}}=>[4,1,1,2]=>1 {{1,7},{2},{3},{4,5,6},{8}}=>[2,1,1,3,1]=>1 {{1,4,8},{2},{3},{5,6},{7}}=>[3,1,1,2,1]=>1 {{1,4,7,8},{2},{3},{5,6}}=>[4,1,1,2]=>1 {{1,4,5,8},{2},{3},{6},{7}}=>[4,1,1,1,1]=>1 {{1,4,5,6,7},{2},{3},{8}}=>[5,1,1,1]=>1 {{1,4,8},{2},{3},{5,6,7}}=>[3,1,1,3]=>1 {{1,4,5,8},{2},{3},{6,7}}=>[4,1,1,2]=>1 {{1,4,5,6,8},{2},{3},{7}}=>[5,1,1,1]=>1 {{1,4,5,6,7,8},{2},{3}}=>[6,1,1]=>1 {{1,3,4},{2},{5},{6},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,3,4},{2},{5},{6},{7,8}}=>[3,1,1,1,2]=>1 {{1,3,4},{2},{5},{6,8},{7}}=>[3,1,1,2,1]=>1 {{1,3,4},{2},{5},{6,7,8}}=>[3,1,1,3]=>1 {{1,3,4},{2},{5,6},{7,8}}=>[3,1,2,2]=>1 {{1,3,4},{2},{5,7,8},{6}}=>[3,1,3,1]=>1 {{1,3,4},{2},{5,8},{6,7}}=>[3,1,2,2]=>1 {{1,3,4},{2},{5,6,8},{7}}=>[3,1,3,1]=>1 {{1,3,4},{2},{5,6,7,8}}=>[3,1,4]=>1 {{1,5},{2},{3,4},{6},{7},{8}}=>[2,1,2,1,1,1]=>1 {{1,5},{2},{3,4},{6},{7,8}}=>[2,1,2,1,2]=>1 {{1,5},{2},{3,4},{6,8},{7}}=>[2,1,2,2,1]=>1 {{1,5},{2},{3,4},{6,7,8}}=>[2,1,2,3]=>1 {{1,8},{2},{3,4},{5},{6},{7}}=>[2,1,2,1,1,1]=>1 {{1,6,7,8},{2},{3,4},{5}}=>[4,1,2,1]=>1 {{1,5,6},{2},{3,4},{7,8}}=>[3,1,2,2]=>1 {{1,7,8},{2},{3,4},{5,6}}=>[3,1,2,2]=>1 {{1,5,7},{2},{3,4},{6},{8}}=>[3,1,2,1,1]=>1 {{1,5,7,8},{2},{3,4},{6}}=>[4,1,2,1]=>1 {{1,5,6,7},{2},{3,4},{8}}=>[4,1,2,1]=>1 {{1,8},{2},{3,4},{5,6,7}}=>[2,1,2,3]=>1 {{1,5,8},{2},{3,4},{6,7}}=>[3,1,2,2]=>1 {{1,5,6,8},{2},{3,4},{7}}=>[4,1,2,1]=>1 {{1,3,5},{2},{4},{6},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,3,5},{2},{4},{6},{7,8}}=>[3,1,1,1,2]=>1 {{1,3,5},{2},{4},{6,7},{8}}=>[3,1,1,2,1]=>1 {{1,3,5},{2},{4},{6,8},{7}}=>[3,1,1,2,1]=>1 {{1,3,5},{2},{4},{6,7,8}}=>[3,1,1,3]=>1 {{1,6},{2},{3,5},{4},{7},{8}}=>[2,1,2,1,1,1]=>1 {{1,6},{2},{3,5},{4},{7,8}}=>[2,1,2,1,2]=>1 {{1,8},{2},{3,5},{4},{6},{7}}=>[2,1,2,1,1,1]=>1 {{1,6,8},{2},{3,5},{4},{7}}=>[3,1,2,1,1]=>1 {{1,6,7,8},{2},{3,5},{4}}=>[4,1,2,1]=>1 {{1,3,6},{2},{4},{5},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,3,7},{2},{4},{5},{6},{8}}=>[3,1,1,1,1,1]=>1 {{1,3,8},{2},{4},{5},{6},{7}}=>[3,1,1,1,1,1]=>1 {{1,3,7,8},{2},{4},{5},{6}}=>[4,1,1,1,1]=>1 {{1,3,5,6},{2},{4},{7,8}}=>[4,1,1,2]=>1 {{1,7},{2},{3,5,6},{4},{8}}=>[2,1,3,1,1]=>1 {{1,7,8},{2},{3,5,6},{4}}=>[3,1,3,1]=>1 {{1,3,7},{2},{4},{5,6},{8}}=>[3,1,1,2,1]=>1 {{1,3,7,8},{2},{4},{5,6}}=>[4,1,1,2]=>1 {{1,3,5,7},{2},{4},{6},{8}}=>[4,1,1,1,1]=>1 {{1,3,5,8},{2},{4},{6},{7}}=>[4,1,1,1,1]=>1 {{1,3,5,7,8},{2},{4},{6}}=>[5,1,1,1]=>1 {{1,3,8},{2},{4},{5,6,7}}=>[3,1,1,3]=>1 {{1,3,5,8},{2},{4},{6,7}}=>[4,1,1,2]=>1 {{1,3,5,6,8},{2},{4},{7}}=>[5,1,1,1]=>1 {{1,3,5,6,7,8},{2},{4}}=>[6,1,1]=>1 {{1,3,4,5},{2},{6},{7},{8}}=>[4,1,1,1,1]=>1 {{1,3,4,5},{2},{6},{7,8}}=>[4,1,1,2]=>1 {{1,3,4,5},{2},{6,7},{8}}=>[4,1,2,1]=>1 {{1,3,4,5},{2},{6,8},{7}}=>[4,1,2,1]=>1 {{1,3,4,5},{2},{6,7,8}}=>[4,1,3]=>1 {{1,6},{2},{3,4,5},{7},{8}}=>[2,1,3,1,1]=>1 {{1,6},{2},{3,4,5},{7,8}}=>[2,1,3,2]=>1 {{1,8},{2},{3,4,5},{6},{7}}=>[2,1,3,1,1]=>1 {{1,7,8},{2},{3,4,5},{6}}=>[3,1,3,1]=>1 {{1,8},{2},{3,4,5},{6,7}}=>[2,1,3,2]=>1 {{1,6,8},{2},{3,4,5},{7}}=>[3,1,3,1]=>1 {{1,3,6},{2},{4,5},{7,8}}=>[3,1,2,2]=>1 {{1,7},{2},{3,6},{4,5},{8}}=>[2,1,2,2,1]=>1 {{1,7,8},{2},{3,6},{4,5}}=>[3,1,2,2]=>1 {{1,3,7},{2},{4,5},{6},{8}}=>[3,1,2,1,1]=>1 {{1,3,7,8},{2},{4,5},{6}}=>[4,1,2,1]=>1 {{1,8},{2},{3,6,7},{4,5}}=>[2,1,3,2]=>1 {{1,3,8},{2},{4,5},{6,7}}=>[3,1,2,2]=>1 {{1,3,6,8},{2},{4,5},{7}}=>[4,1,2,1]=>1 {{1,3,4,6},{2},{5},{7,8}}=>[4,1,1,2]=>1 {{1,7,8},{2},{3,4,6},{5}}=>[3,1,3,1]=>1 {{1,3,7},{2},{4,6},{5},{8}}=>[3,1,2,1,1]=>1 {{1,3,7,8},{2},{4,6},{5}}=>[4,1,2,1]=>1 {{1,3,4,8},{2},{5},{6},{7}}=>[4,1,1,1,1]=>1 {{1,3,4,7,8},{2},{5},{6}}=>[5,1,1,1]=>1 {{1,8},{2},{3,4,6,7},{5}}=>[2,1,4,1]=>1 {{1,3,8},{2},{4,6,7},{5}}=>[3,1,3,1]=>1 {{1,3,4,6,8},{2},{5},{7}}=>[5,1,1,1]=>1 {{1,3,4,6,7,8},{2},{5}}=>[6,1,1]=>1 {{1,3,4,5,6},{2},{7},{8}}=>[5,1,1,1]=>1 {{1,3,4,5,6},{2},{7,8}}=>[5,1,2]=>1 {{1,8},{2},{3,4,5,6},{7}}=>[2,1,4,1]=>1 {{1,7,8},{2},{3,4,5,6}}=>[3,1,4]=>1 {{1,3,7},{2},{4,5,6},{8}}=>[3,1,3,1]=>1 {{1,3,8},{2},{4,5,6},{7}}=>[3,1,3,1]=>1 {{1,8},{2},{3,4,7},{5,6}}=>[2,1,3,2]=>1 {{1,3,8},{2},{4,7},{5,6}}=>[3,1,2,2]=>1 {{1,3,4,8},{2},{5,6},{7}}=>[4,1,2,1]=>1 {{1,8},{2},{3,4,5,7},{6}}=>[2,1,4,1]=>1 {{1,3,8},{2},{4,5,7},{6}}=>[3,1,3,1]=>1 {{1,3,4,8},{2},{5,7},{6}}=>[4,1,2,1]=>1 {{1,3,4,5,8},{2},{6},{7}}=>[5,1,1,1]=>1 {{1,3,4,5,7,8},{2},{6}}=>[6,1,1]=>1 {{1,3,4,5,6,7},{2},{8}}=>[6,1,1]=>1 {{1,8},{2},{3,4,5,6,7}}=>[2,1,5]=>1 {{1,3,4,5,8},{2},{6,7}}=>[5,1,2]=>1 {{1,3,4,5,6,8},{2},{7}}=>[6,1,1]=>1 {{1,3,4,5,6,7,8},{2}}=>[7,1]=>1 {{1,2,3},{4},{5},{6},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,2,3},{4},{5},{6},{7,8}}=>[3,1,1,1,2]=>1 {{1,2,3},{4},{5},{6,8},{7}}=>[3,1,1,2,1]=>1 {{1,2,3},{4},{5},{6,7,8}}=>[3,1,1,3]=>1 {{1,2,3},{4},{5,6},{7,8}}=>[3,1,2,2]=>1 {{1,2,3},{4},{5,8},{6,7}}=>[3,1,2,2]=>1 {{1,2,3},{4},{5,6,8},{7}}=>[3,1,3,1]=>1 {{1,2,3},{4,6},{5},{7,8}}=>[3,2,1,2]=>1 {{1,2,3},{4,6,7},{5},{8}}=>[3,3,1,1]=>1 {{1,2,3},{4,8},{5},{6,7}}=>[3,2,1,2]=>1 {{1,2,3},{4,6,8},{5},{7}}=>[3,3,1,1]=>1 {{1,2,3},{4,8},{5,7},{6}}=>[3,2,2,1]=>1 {{1,2,3},{4,5,8},{6},{7}}=>[3,3,1,1]=>1 {{1,2,3},{4,5,7,8},{6}}=>[3,4,1]=>1 {{1,2,3},{4,5,6,7},{8}}=>[3,4,1]=>1 {{1,2,3},{4,8},{5,6,7}}=>[3,2,3]=>2 {{1,2,3},{4,5,8},{6,7}}=>[3,3,2]=>2 {{1,2,3},{4,5,6,8},{7}}=>[3,4,1]=>1 {{1,2,3},{4,5,6,7,8}}=>[3,5]=>3 {{1,4},{2,3},{5},{6},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,4},{2,3},{5},{6},{7,8}}=>[2,2,1,1,2]=>1 {{1,4},{2,3},{5},{6,7},{8}}=>[2,2,1,2,1]=>1 {{1,4},{2,3},{5},{6,8},{7}}=>[2,2,1,2,1]=>1 {{1,4},{2,3},{5},{6,7,8}}=>[2,2,1,3]=>1 {{1,4},{2,3},{5,6},{7},{8}}=>[2,2,2,1,1]=>1 {{1,4},{2,3},{5,7},{6},{8}}=>[2,2,2,1,1]=>1 {{1,4},{2,3},{5,8},{6},{7}}=>[2,2,2,1,1]=>1 {{1,4},{2,3},{5,7,8},{6}}=>[2,2,3,1]=>1 {{1,4},{2,3},{5,6,7},{8}}=>[2,2,3,1]=>1 {{1,4},{2,3},{5,6,8},{7}}=>[2,2,3,1]=>1 {{1,4},{2,3},{5,6,7,8}}=>[2,2,4]=>2 {{1,5},{2,3},{4},{6},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,5},{2,3},{4},{6,7},{8}}=>[2,2,1,2,1]=>1 {{1,5},{2,3},{4},{6,8},{7}}=>[2,2,1,2,1]=>1 {{1,6},{2,3},{4},{5},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,6},{2,3},{4},{5},{7,8}}=>[2,2,1,1,2]=>1 {{1,7},{2,3},{4},{5},{6},{8}}=>[2,2,1,1,1,1]=>1 {{1,8},{2,3},{4},{5},{6},{7}}=>[2,2,1,1,1,1]=>1 {{1,6,8},{2,3},{4},{5},{7}}=>[3,2,1,1,1]=>1 {{1,5,6},{2,3},{4},{7,8}}=>[3,2,1,2]=>1 {{1,7},{2,3},{4},{5,6},{8}}=>[2,2,1,2,1]=>1 {{1,7,8},{2,3},{4},{5,6}}=>[3,2,1,2]=>1 {{1,5,7},{2,3},{4},{6},{8}}=>[3,2,1,1,1]=>1 {{1,5,7,8},{2,3},{4},{6}}=>[4,2,1,1]=>1 {{1,5,6,7},{2,3},{4},{8}}=>[4,2,1,1]=>1 {{1,8},{2,3},{4},{5,6,7}}=>[2,2,1,3]=>1 {{1,5,8},{2,3},{4},{6,7}}=>[3,2,1,2]=>1 {{1,5,6,8},{2,3},{4},{7}}=>[4,2,1,1]=>1 {{1,5,6,7,8},{2,3},{4}}=>[5,2,1]=>1 {{1,4,5},{2,3},{6},{7,8}}=>[3,2,1,2]=>1 {{1,4,5},{2,3},{6,7},{8}}=>[3,2,2,1]=>1 {{1,4,5},{2,3},{6,8},{7}}=>[3,2,2,1]=>1 {{1,7},{2,3},{4,5},{6},{8}}=>[2,2,2,1,1]=>1 {{1,8},{2,3},{4,5},{6},{7}}=>[2,2,2,1,1]=>1 {{1,7,8},{2,3},{4,5},{6}}=>[3,2,2,1]=>1 {{1,6,7},{2,3},{4,5},{8}}=>[3,2,2,1]=>1 {{1,6,8},{2,3},{4,5},{7}}=>[3,2,2,1]=>1 {{1,6,7,8},{2,3},{4,5}}=>[4,2,2]=>2 {{1,4,6},{2,3},{5},{7,8}}=>[3,2,1,2]=>1 {{1,7},{2,3},{4,6},{5},{8}}=>[2,2,2,1,1]=>1 {{1,7,8},{2,3},{4,6},{5}}=>[3,2,2,1]=>1 {{1,4,8},{2,3},{5},{6},{7}}=>[3,2,1,1,1]=>1 {{1,4,7,8},{2,3},{5},{6}}=>[4,2,1,1]=>1 {{1,4,6,7},{2,3},{5},{8}}=>[4,2,1,1]=>1 {{1,8},{2,3},{4,6,7},{5}}=>[2,2,3,1]=>1 {{1,4,8},{2,3},{5},{6,7}}=>[3,2,1,2]=>1 {{1,4,6,8},{2,3},{5},{7}}=>[4,2,1,1]=>1 {{1,4,6,7,8},{2,3},{5}}=>[5,2,1]=>1 {{1,4,5,6},{2,3},{7,8}}=>[4,2,2]=>2 {{1,7},{2,3},{4,5,6},{8}}=>[2,2,3,1]=>1 {{1,4,7},{2,3},{5,6},{8}}=>[3,2,2,1]=>1 {{1,4,8},{2,3},{5,6},{7}}=>[3,2,2,1]=>1 {{1,4,5,7},{2,3},{6},{8}}=>[4,2,1,1]=>1 {{1,8},{2,3},{4,5,7},{6}}=>[2,2,3,1]=>1 {{1,4,8},{2,3},{5,7},{6}}=>[3,2,2,1]=>1 {{1,4,5,8},{2,3},{6},{7}}=>[4,2,1,1]=>1 {{1,4,5,7,8},{2,3},{6}}=>[5,2,1]=>1 {{1,4,5,6,7},{2,3},{8}}=>[5,2,1]=>1 {{1,4,8},{2,3},{5,6,7}}=>[3,2,3]=>2 {{1,4,5,8},{2,3},{6,7}}=>[4,2,2]=>2 {{1,4,5,6,8},{2,3},{7}}=>[5,2,1]=>1 {{1,4,5,6,7,8},{2,3}}=>[6,2]=>2 {{1,2,4},{3},{5},{6},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,2,4},{3},{5,6},{7,8}}=>[3,1,2,2]=>1 {{1,2,4},{3},{5,7,8},{6}}=>[3,1,3,1]=>1 {{1,2,4},{3},{5,6,7},{8}}=>[3,1,3,1]=>1 {{1,2,4},{3},{5,8},{6,7}}=>[3,1,2,2]=>1 {{1,2,4},{3},{5,6,8},{7}}=>[3,1,3,1]=>1 {{1,2,4},{3},{5,6,7,8}}=>[3,1,4]=>1 {{1,5},{2,4},{3},{6},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,5},{2,4},{3},{6},{7,8}}=>[2,2,1,1,2]=>1 {{1,5},{2,4},{3},{6,7},{8}}=>[2,2,1,2,1]=>1 {{1,5},{2,4},{3},{6,8},{7}}=>[2,2,1,2,1]=>1 {{1,5},{2,4},{3},{6,7,8}}=>[2,2,1,3]=>1 {{1,7},{2,4},{3},{5},{6},{8}}=>[2,2,1,1,1,1]=>1 {{1,8},{2,4},{3},{5},{6},{7}}=>[2,2,1,1,1,1]=>1 {{1,8},{2,4},{3},{5},{6,7}}=>[2,2,1,1,2]=>1 {{1,6,7,8},{2,4},{3},{5}}=>[4,2,1,1]=>1 {{1,5,6},{2,4},{3},{7,8}}=>[3,2,1,2]=>1 {{1,7},{2,4},{3},{5,6},{8}}=>[2,2,1,2,1]=>1 {{1,7,8},{2,4},{3},{5,6}}=>[3,2,1,2]=>1 {{1,5,7},{2,4},{3},{6},{8}}=>[3,2,1,1,1]=>1 {{1,8},{2,4},{3},{5,7},{6}}=>[2,2,1,2,1]=>1 {{1,5,7,8},{2,4},{3},{6}}=>[4,2,1,1]=>1 {{1,5,6,7},{2,4},{3},{8}}=>[4,2,1,1]=>1 {{1,8},{2,4},{3},{5,6,7}}=>[2,2,1,3]=>1 {{1,5,8},{2,4},{3},{6,7}}=>[3,2,1,2]=>1 {{1,5,6,8},{2,4},{3},{7}}=>[4,2,1,1]=>1 {{1,5,6,7,8},{2,4},{3}}=>[5,2,1]=>1 {{1,2,5},{3},{4},{6},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,2,5},{3},{4},{6},{7,8}}=>[3,1,1,1,2]=>1 {{1,6},{2,5},{3},{4},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,6},{2,5},{3},{4},{7,8}}=>[2,2,1,1,2]=>1 {{1,7},{2,5},{3},{4},{6},{8}}=>[2,2,1,1,1,1]=>1 {{1,8},{2,5},{3},{4},{6},{7}}=>[2,2,1,1,1,1]=>1 {{1,7,8},{2,5},{3},{4},{6}}=>[3,2,1,1,1]=>1 {{1,6,7,8},{2,5},{3},{4}}=>[4,2,1,1]=>1 {{1,2,6},{3},{4},{5},{7},{8}}=>[3,1,1,1,1,1]=>1 {{1,2,6},{3},{4},{5},{7,8}}=>[3,1,1,1,2]=>1 {{1,7,8},{2,6},{3},{4},{5}}=>[3,2,1,1,1]=>1 {{1,2,7},{3},{4},{5},{6},{8}}=>[3,1,1,1,1,1]=>1 {{1,8},{2,7},{3},{4},{5},{6}}=>[2,2,1,1,1,1]=>1 {{1,2,8},{3},{4},{5},{6},{7}}=>[3,1,1,1,1,1]=>1 {{1,2,7,8},{3},{4},{5},{6}}=>[4,1,1,1,1]=>1 {{1,2,6,7,8},{3},{4},{5}}=>[5,1,1,1]=>1 {{1,2,5,6},{3},{4},{7,8}}=>[4,1,1,2]=>1 {{1,7,8},{2,5,6},{3},{4}}=>[3,3,1,1]=>1 {{1,2,7,8},{3},{4},{5,6}}=>[4,1,1,2]=>1 {{1,8},{2,5,7},{3},{4},{6}}=>[2,3,1,1,1]=>1 {{1,2,5,7,8},{3},{4},{6}}=>[5,1,1,1]=>1 {{1,2,5,6,7},{3},{4},{8}}=>[5,1,1,1]=>1 {{1,8},{2,5,6,7},{3},{4}}=>[2,4,1,1]=>1 {{1,2,5,8},{3},{4},{6,7}}=>[4,1,1,2]=>1 {{1,2,5,6,8},{3},{4},{7}}=>[5,1,1,1]=>1 {{1,2,5,6,7,8},{3},{4}}=>[6,1,1]=>1 {{1,6},{2,4,5},{3},{7,8}}=>[2,3,1,2]=>1 {{1,7},{2,4,5},{3},{6},{8}}=>[2,3,1,1,1]=>1 {{1,7,8},{2,4,5},{3},{6}}=>[3,3,1,1]=>1 {{1,6,7},{2,4,5},{3},{8}}=>[3,3,1,1]=>1 {{1,8},{2,4,5},{3},{6,7}}=>[2,3,1,2]=>1 {{1,6,8},{2,4,5},{3},{7}}=>[3,3,1,1]=>1 {{1,2,6},{3},{4,5},{7,8}}=>[3,1,2,2]=>1 {{1,7},{2,6},{3},{4,5},{8}}=>[2,2,1,2,1]=>1 {{1,7,8},{2,6},{3},{4,5}}=>[3,2,1,2]=>1 {{1,2,7,8},{3},{4,5},{6}}=>[4,1,2,1]=>1 {{1,8},{2,6,7},{3},{4,5}}=>[2,3,1,2]=>1 {{1,2,8},{3},{4,5},{6,7}}=>[3,1,2,2]=>1 {{1,2,6,8},{3},{4,5},{7}}=>[4,1,2,1]=>1 {{1,2,4,6},{3},{5},{7,8}}=>[4,1,1,2]=>1 {{1,7},{2,4,6},{3},{5},{8}}=>[2,3,1,1,1]=>1 {{1,7,8},{2,4,6},{3},{5}}=>[3,3,1,1]=>1 {{1,2,7,8},{3},{4,6},{5}}=>[4,1,2,1]=>1 {{1,8},{2,4,7},{3},{5},{6}}=>[2,3,1,1,1]=>1 {{1,2,4,8},{3},{5},{6},{7}}=>[4,1,1,1,1]=>1 {{1,2,4,7,8},{3},{5},{6}}=>[5,1,1,1]=>1 {{1,8},{2,4,6,7},{3},{5}}=>[2,4,1,1]=>1 {{1,2,8},{3},{4,6,7},{5}}=>[3,1,3,1]=>1 {{1,2,4,8},{3},{5},{6,7}}=>[4,1,1,2]=>1 {{1,2,4,6,8},{3},{5},{7}}=>[5,1,1,1]=>1 {{1,2,4,6,7,8},{3},{5}}=>[6,1,1]=>1 {{1,2,4,5,6},{3},{7,8}}=>[5,1,2]=>1 {{1,7},{2,4,5,6},{3},{8}}=>[2,4,1,1]=>1 {{1,8},{2,4,5,6},{3},{7}}=>[2,4,1,1]=>1 {{1,7,8},{2,4,5,6},{3}}=>[3,4,1]=>1 {{1,8},{2,7},{3},{4,5,6}}=>[2,2,1,3]=>1 {{1,2,8},{3},{4,5,6},{7}}=>[3,1,3,1]=>1 {{1,2,7,8},{3},{4,5,6}}=>[4,1,3]=>1 {{1,2,4,7},{3},{5,6},{8}}=>[4,1,2,1]=>1 {{1,8},{2,4,7},{3},{5,6}}=>[2,3,1,2]=>1 {{1,2,8},{3},{4,7},{5,6}}=>[3,1,2,2]=>1 {{1,2,4,8},{3},{5,6},{7}}=>[4,1,2,1]=>1 {{1,2,4,7,8},{3},{5,6}}=>[5,1,2]=>1 {{1,8},{2,4,5,7},{3},{6}}=>[2,4,1,1]=>1 {{1,2,8},{3},{4,5,7},{6}}=>[3,1,3,1]=>1 {{1,2,4,8},{3},{5,7},{6}}=>[4,1,2,1]=>1 {{1,2,4,5,7,8},{3},{6}}=>[6,1,1]=>1 {{1,2,4,5,6,7},{3},{8}}=>[6,1,1]=>1 {{1,8},{2,4,5,6,7},{3}}=>[2,5,1]=>1 {{1,2,8},{3},{4,5,6,7}}=>[3,1,4]=>1 {{1,2,4,5,8},{3},{6,7}}=>[5,1,2]=>1 {{1,2,4,5,6,8},{3},{7}}=>[6,1,1]=>1 {{1,2,4,5,6,7,8},{3}}=>[7,1]=>1 {{1,2,3,4},{5},{6},{7},{8}}=>[4,1,1,1,1]=>1 {{1,2,3,4},{5},{6,7},{8}}=>[4,1,2,1]=>1 {{1,2,3,4},{5},{6,8},{7}}=>[4,1,2,1]=>1 {{1,2,3,4},{5,6},{7,8}}=>[4,2,2]=>2 {{1,2,3,4},{5,7,8},{6}}=>[4,3,1]=>1 {{1,2,3,4},{5,6,7},{8}}=>[4,3,1]=>1 {{1,2,3,4},{5,8},{6,7}}=>[4,2,2]=>2 {{1,2,3,4},{5,6,8},{7}}=>[4,3,1]=>1 {{1,2,3,4},{5,6,7,8}}=>[4,4]=>4 {{1,5},{2,3,4},{6},{7},{8}}=>[2,3,1,1,1]=>1 {{1,5},{2,3,4},{6,8},{7}}=>[2,3,2,1]=>1 {{1,5},{2,3,4},{6,7,8}}=>[2,3,3]=>2 {{1,6},{2,3,4},{5},{7},{8}}=>[2,3,1,1,1]=>1 {{1,6},{2,3,4},{5},{7,8}}=>[2,3,1,2]=>1 {{1,7},{2,3,4},{5},{6},{8}}=>[2,3,1,1,1]=>1 {{1,8},{2,3,4},{5},{6},{7}}=>[2,3,1,1,1]=>1 {{1,8},{2,3,4},{5},{6,7}}=>[2,3,1,2]=>1 {{1,6,8},{2,3,4},{5},{7}}=>[3,3,1,1]=>1 {{1,5,6},{2,3,4},{7},{8}}=>[3,3,1,1]=>1 {{1,7},{2,3,4},{5,6},{8}}=>[2,3,2,1]=>1 {{1,8},{2,3,4},{5,6},{7}}=>[2,3,2,1]=>1 {{1,5,7},{2,3,4},{6},{8}}=>[3,3,1,1]=>1 {{1,8},{2,3,4},{5,7},{6}}=>[2,3,2,1]=>1 {{1,5,8},{2,3,4},{6},{7}}=>[3,3,1,1]=>1 {{1,5,6,7},{2,3,4},{8}}=>[4,3,1]=>1 {{1,5,8},{2,3,4},{6,7}}=>[3,3,2]=>2 {{1,5,6,8},{2,3,4},{7}}=>[4,3,1]=>1 {{1,5,6,7,8},{2,3,4}}=>[5,3]=>3 {{1,2,5},{3,4},{6},{7},{8}}=>[3,2,1,1,1]=>1 {{1,2,5},{3,4},{6},{7,8}}=>[3,2,1,2]=>1 {{1,2,5},{3,4},{6,7},{8}}=>[3,2,2,1]=>1 {{1,2,5},{3,4},{6,8},{7}}=>[3,2,2,1]=>1 {{1,2,5},{3,4},{6,7,8}}=>[3,2,3]=>2 {{1,7},{2,5},{3,4},{6},{8}}=>[2,2,2,1,1]=>1 {{1,7,8},{2,5},{3,4},{6}}=>[3,2,2,1]=>1 {{1,6,7},{2,5},{3,4},{8}}=>[3,2,2,1]=>1 {{1,6,8},{2,5},{3,4},{7}}=>[3,2,2,1]=>1 {{1,6,7,8},{2,5},{3,4}}=>[4,2,2]=>2 {{1,2,6},{3,4},{5},{7,8}}=>[3,2,1,2]=>1 {{1,7},{2,6},{3,4},{5},{8}}=>[2,2,2,1,1]=>1 {{1,8},{2,6},{3,4},{5},{7}}=>[2,2,2,1,1]=>1 {{1,7,8},{2,6},{3,4},{5}}=>[3,2,2,1]=>1 {{1,8},{2,7},{3,4},{5},{6}}=>[2,2,2,1,1]=>1 {{1,2,8},{3,4},{5},{6},{7}}=>[3,2,1,1,1]=>1 {{1,2,7,8},{3,4},{5},{6}}=>[4,2,1,1]=>1 {{1,8},{2,6,7},{3,4},{5}}=>[2,3,2,1]=>1 {{1,2,8},{3,4},{5},{6,7}}=>[3,2,1,2]=>1 {{1,2,6,8},{3,4},{5},{7}}=>[4,2,1,1]=>1 {{1,2,5,6},{3,4},{7},{8}}=>[4,2,1,1]=>1 {{1,8},{2,5,6},{3,4},{7}}=>[2,3,2,1]=>1 {{1,7,8},{2,5,6},{3,4}}=>[3,3,2]=>2 {{1,2,7},{3,4},{5,6},{8}}=>[3,2,2,1]=>1 {{1,2,8},{3,4},{5,6},{7}}=>[3,2,2,1]=>1 {{1,2,5,7},{3,4},{6},{8}}=>[4,2,1,1]=>1 {{1,8},{2,5,7},{3,4},{6}}=>[2,3,2,1]=>1 {{1,2,8},{3,4},{5,7},{6}}=>[3,2,2,1]=>1 {{1,2,5,8},{3,4},{6},{7}}=>[4,2,1,1]=>1 {{1,2,5,6,8},{3,4},{7}}=>[5,2,1]=>1 {{1,2,5,6,7,8},{3,4}}=>[6,2]=>2 {{1,2,3,5},{4},{6},{7,8}}=>[4,1,1,2]=>1 {{1,2,3,5},{4},{6,8},{7}}=>[4,1,2,1]=>1 {{1,2,3,5},{4},{6,7,8}}=>[4,1,3]=>1 {{1,6},{2,3,5},{4},{7,8}}=>[2,3,1,2]=>1 {{1,8},{2,3,5},{4},{6},{7}}=>[2,3,1,1,1]=>1 {{1,7,8},{2,3,5},{4},{6}}=>[3,3,1,1]=>1 {{1,6,7},{2,3,5},{4},{8}}=>[3,3,1,1]=>1 {{1,8},{2,3,5},{4},{6,7}}=>[2,3,1,2]=>1 {{1,6,8},{2,3,5},{4},{7}}=>[3,3,1,1]=>1 {{1,6,7,8},{2,3,5},{4}}=>[4,3,1]=>1 {{1,2,6},{3,5},{4},{7,8}}=>[3,2,1,2]=>1 {{1,7},{2,6},{3,5},{4},{8}}=>[2,2,2,1,1]=>1 {{1,7,8},{2,6},{3,5},{4}}=>[3,2,2,1]=>1 {{1,2,7,8},{3,5},{4},{6}}=>[4,2,1,1]=>1 {{1,8},{2,6,7},{3,5},{4}}=>[2,3,2,1]=>1 {{1,2,8},{3,5},{4},{6,7}}=>[3,2,1,2]=>1 {{1,2,6,8},{3,5},{4},{7}}=>[4,2,1,1]=>1 {{1,2,6,7,8},{3,5},{4}}=>[5,2,1]=>1 {{1,2,3,6},{4},{5},{7,8}}=>[4,1,1,2]=>1 {{1,8},{2,3,6},{4},{5},{7}}=>[2,3,1,1,1]=>1 {{1,7,8},{2,3,6},{4},{5}}=>[3,3,1,1]=>1 {{1,2,7,8},{3,6},{4},{5}}=>[4,2,1,1]=>1 {{1,8},{2,3,7},{4},{5},{6}}=>[2,3,1,1,1]=>1 {{1,2,3,8},{4},{5},{6},{7}}=>[4,1,1,1,1]=>1 {{1,2,3,7,8},{4},{5},{6}}=>[5,1,1,1]=>1 {{1,8},{2,3,6,7},{4},{5}}=>[2,4,1,1]=>1 {{1,2,8},{3,6,7},{4},{5}}=>[3,3,1,1]=>1 {{1,2,3,8},{4},{5},{6,7}}=>[4,1,1,2]=>1 {{1,2,3,6,8},{4},{5},{7}}=>[5,1,1,1]=>1 {{1,2,3,6,7,8},{4},{5}}=>[6,1,1]=>1 {{1,2,3,5,6},{4},{7},{8}}=>[5,1,1,1]=>1 {{1,2,3,5,6},{4},{7,8}}=>[5,1,2]=>1 {{1,7},{2,3,5,6},{4},{8}}=>[2,4,1,1]=>1 {{1,8},{2,3,5,6},{4},{7}}=>[2,4,1,1]=>1 {{1,2,7},{3,5,6},{4},{8}}=>[3,3,1,1]=>1 {{1,8},{2,7},{3,5,6},{4}}=>[2,2,3,1]=>1 {{1,2,8},{3,5,6},{4},{7}}=>[3,3,1,1]=>1 {{1,2,3,7},{4},{5,6},{8}}=>[4,1,2,1]=>1 {{1,8},{2,3,7},{4},{5,6}}=>[2,3,1,2]=>1 {{1,2,8},{3,7},{4},{5,6}}=>[3,2,1,2]=>1 {{1,2,3,8},{4},{5,6},{7}}=>[4,1,2,1]=>1 {{1,2,3,7,8},{4},{5,6}}=>[5,1,2]=>1 {{1,2,3,5,7},{4},{6},{8}}=>[5,1,1,1]=>1 {{1,8},{2,3,5,7},{4},{6}}=>[2,4,1,1]=>1 {{1,2,8},{3,5,7},{4},{6}}=>[3,3,1,1]=>1 {{1,2,3,8},{4},{5,7},{6}}=>[4,1,2,1]=>1 {{1,2,3,5,8},{4},{6},{7}}=>[5,1,1,1]=>1 {{1,2,3,5,7,8},{4},{6}}=>[6,1,1]=>1 {{1,2,3,5,6,7},{4},{8}}=>[6,1,1]=>1 {{1,8},{2,3,5,6,7},{4}}=>[2,5,1]=>1 {{1,2,3,8},{4},{5,6,7}}=>[4,1,3]=>1 {{1,2,3,5,6,8},{4},{7}}=>[6,1,1]=>1 {{1,2,3,5,6,7,8},{4}}=>[7,1]=>1 {{1,2,3,4,5},{6},{7},{8}}=>[5,1,1,1]=>1 {{1,2,3,4,5},{6,7},{8}}=>[5,2,1]=>1 {{1,2,3,4,5},{6,8},{7}}=>[5,2,1]=>1 {{1,2,3,4,5},{6,7,8}}=>[5,3]=>3 {{1,6},{2,3,4,5},{7},{8}}=>[2,4,1,1]=>1 {{1,7},{2,3,4,5},{6},{8}}=>[2,4,1,1]=>1 {{1,6,8},{2,3,4,5},{7}}=>[3,4,1]=>1 {{1,6,7,8},{2,3,4,5}}=>[4,4]=>4 {{1,2,6},{3,4,5},{7},{8}}=>[3,3,1,1]=>1 {{1,2,6},{3,4,5},{7,8}}=>[3,3,2]=>2 {{1,7},{2,6},{3,4,5},{8}}=>[2,2,3,1]=>1 {{1,8},{2,6},{3,4,5},{7}}=>[2,2,3,1]=>1 {{1,7,8},{2,6},{3,4,5}}=>[3,2,3]=>2 {{1,8},{2,7},{3,4,5},{6}}=>[2,2,3,1]=>1 {{1,2,8},{3,4,5},{6,7}}=>[3,3,2]=>2 {{1,2,6,7,8},{3,4,5}}=>[5,3]=>3 {{1,2,3,6},{4,5},{7},{8}}=>[4,2,1,1]=>1 {{1,2,3,6},{4,5},{7,8}}=>[4,2,2]=>2 {{1,8},{2,3,6},{4,5},{7}}=>[2,3,2,1]=>1 {{1,7,8},{2,3,6},{4,5}}=>[3,3,2]=>2 {{1,2,7},{3,6},{4,5},{8}}=>[3,2,2,1]=>1 {{1,2,8},{3,6},{4,5},{7}}=>[3,2,2,1]=>1 {{1,2,3,7},{4,5},{6},{8}}=>[4,2,1,1]=>1 {{1,8},{2,3,7},{4,5},{6}}=>[2,3,2,1]=>1 {{1,2,8},{3,7},{4,5},{6}}=>[3,2,2,1]=>1 {{1,2,3,8},{4,5},{6},{7}}=>[4,2,1,1]=>1 {{1,2,3,6,7},{4,5},{8}}=>[5,2,1]=>1 {{1,8},{2,3,6,7},{4,5}}=>[2,4,2]=>2 {{1,2,3,8},{4,5},{6,7}}=>[4,2,2]=>2 {{1,2,3,6,8},{4,5},{7}}=>[5,2,1]=>1 {{1,2,3,6,7,8},{4,5}}=>[6,2]=>2 {{1,2,3,4,6},{5},{7},{8}}=>[5,1,1,1]=>1 {{1,2,3,4,6},{5},{7,8}}=>[5,1,2]=>1 {{1,8},{2,3,4,6},{5},{7}}=>[2,4,1,1]=>1 {{1,7,8},{2,3,4,6},{5}}=>[3,4,1]=>1 {{1,2,7},{3,4,6},{5},{8}}=>[3,3,1,1]=>1 {{1,8},{2,7},{3,4,6},{5}}=>[2,2,3,1]=>1 {{1,2,8},{3,4,6},{5},{7}}=>[3,3,1,1]=>1 {{1,2,7,8},{3,4,6},{5}}=>[4,3,1]=>1 {{1,2,3,7},{4,6},{5},{8}}=>[4,2,1,1]=>1 {{1,8},{2,3,7},{4,6},{5}}=>[2,3,2,1]=>1 {{1,2,8},{3,7},{4,6},{5}}=>[3,2,2,1]=>1 {{1,2,3,8},{4,6},{5},{7}}=>[4,2,1,1]=>1 {{1,2,3,7,8},{4,6},{5}}=>[5,2,1]=>1 {{1,2,3,4,7},{5},{6},{8}}=>[5,1,1,1]=>1 {{1,8},{2,3,4,7},{5},{6}}=>[2,4,1,1]=>1 {{1,2,8},{3,4,7},{5},{6}}=>[3,3,1,1]=>1 {{1,2,3,8},{4,7},{5},{6}}=>[4,2,1,1]=>1 {{1,2,3,4,8},{5},{6},{7}}=>[5,1,1,1]=>1 {{1,2,3,4,7,8},{5},{6}}=>[6,1,1]=>1 {{1,2,3,4,6,7},{5},{8}}=>[6,1,1]=>1 {{1,8},{2,3,4,6,7},{5}}=>[2,5,1]=>1 {{1,2,8},{3,4,6,7},{5}}=>[3,4,1]=>1 {{1,2,3,4,8},{5},{6,7}}=>[5,1,2]=>1 {{1,2,3,4,6,8},{5},{7}}=>[6,1,1]=>1 {{1,2,3,4,6,7,8},{5}}=>[7,1]=>1 {{1,2,3,4,5,6},{7},{8}}=>[6,1,1]=>1 {{1,2,3,4,5,6},{7,8}}=>[6,2]=>2 {{1,7},{2,3,4,5,6},{8}}=>[2,5,1]=>1 {{1,8},{2,3,4,5,6},{7}}=>[2,5,1]=>1 {{1,7,8},{2,3,4,5,6}}=>[3,5]=>3 {{1,2,7},{3,4,5,6},{8}}=>[3,4,1]=>1 {{1,2,7,8},{3,4,5,6}}=>[4,4]=>4 {{1,2,3,7},{4,5,6},{8}}=>[4,3,1]=>1 {{1,8},{2,3,7},{4,5,6}}=>[2,3,3]=>2 {{1,2,8},{3,7},{4,5,6}}=>[3,2,3]=>2 {{1,2,3,8},{4,5,6},{7}}=>[4,3,1]=>1 {{1,2,3,7,8},{4,5,6}}=>[5,3]=>3 {{1,2,3,4,7},{5,6},{8}}=>[5,2,1]=>1 {{1,8},{2,3,4,7},{5,6}}=>[2,4,2]=>2 {{1,2,8},{3,4,7},{5,6}}=>[3,3,2]=>2 {{1,2,3,8},{4,7},{5,6}}=>[4,2,2]=>2 {{1,2,3,4,8},{5,6},{7}}=>[5,2,1]=>1 {{1,2,3,4,7,8},{5,6}}=>[6,2]=>2 {{1,2,3,4,5,7},{6},{8}}=>[6,1,1]=>1 {{1,8},{2,3,4,5,7},{6}}=>[2,5,1]=>1 {{1,2,8},{3,4,5,7},{6}}=>[3,4,1]=>1 {{1,2,3,8},{4,5,7},{6}}=>[4,3,1]=>1 {{1,2,3,4,8},{5,7},{6}}=>[5,2,1]=>1 {{1,2,3,4,5,8},{6},{7}}=>[6,1,1]=>1 {{1,2,3,4,5,7,8},{6}}=>[7,1]=>1 {{1,2,3,4,5,6,7},{8}}=>[7,1]=>1 {{1,8},{2,3,4,5,6,7}}=>[2,6]=>2 {{1,2,8},{3,4,5,6,7}}=>[3,5]=>3 {{1,2,3,8},{4,5,6,7}}=>[4,4]=>4 {{1,2,3,4,8},{5,6,7}}=>[5,3]=>3 {{1,2,3,4,5,8},{6,7}}=>[6,2]=>2 {{1,2,3,4,5,6,8},{7}}=>[7,1]=>1 {{1,2,3,4,5,6,7,8}}=>[8]=>8 {{1,3,5,6,7,8},{2,4}}=>[6,2]=>2 {{1,3,4,6,7,8},{2,5}}=>[6,2]=>2 {{1,2,4,6,7,8},{3,5}}=>[6,2]=>2 {{1,3,4,5,7,8},{2,6}}=>[6,2]=>2 {{1,2,4,5,7,8},{3,6}}=>[6,2]=>2 {{1,2,3,5,7,8},{4,6}}=>[6,2]=>2 {{1,3,4,5,6,8},{2,7}}=>[6,2]=>2 {{1,2,4,5,6,8},{3,7}}=>[6,2]=>2 {{1,2,3,5,6,8},{4,7}}=>[6,2]=>2 {{1,2,3,4,6,8},{5,7}}=>[6,2]=>2 {{1,3,4,5,6,7},{2,8}}=>[6,2]=>2 {{1,2,4,5,6,7},{3,8}}=>[6,2]=>2 {{1,2,3,5,6,7},{4,8}}=>[6,2]=>2 {{1,2,3,4,6,7},{5,8}}=>[6,2]=>2 {{1,2,3,4,5,7},{6,8}}=>[6,2]=>2 {{1,3,5,7,8},{2,4,6}}=>[5,3]=>3 {{1,2,5,7,8},{3,4,6}}=>[5,3]=>3 {{1,3,4,7,8},{2,5,6}}=>[5,3]=>3 {{1,2,4,7,8},{3,5,6}}=>[5,3]=>3 {{1,3,5,6,8},{2,4,7}}=>[5,3]=>3 {{1,2,5,6,8},{3,4,7}}=>[5,3]=>3 {{1,3,4,6,8},{2,5,7}}=>[5,3]=>3 {{1,2,4,6,8},{3,5,7}}=>[5,3]=>3 {{1,2,3,6,8},{4,5,7}}=>[5,3]=>3 {{1,2,4,5,8},{3,6,7}}=>[5,3]=>3 {{1,2,3,5,8},{4,6,7}}=>[5,3]=>3 {{1,3,5,6,7},{2,4,8}}=>[5,3]=>3 {{1,2,5,6,7},{3,4,8}}=>[5,3]=>3 {{1,3,4,6,7},{2,5,8}}=>[5,3]=>3 {{1,2,4,6,7},{3,5,8}}=>[5,3]=>3 {{1,2,3,6,7},{4,5,8}}=>[5,3]=>3 {{1,3,4,5,7},{2,6,8}}=>[5,3]=>3 {{1,2,4,5,7},{3,6,8}}=>[5,3]=>3 {{1,2,3,5,7},{4,6,8}}=>[5,3]=>3 {{1,2,3,4,7},{5,6,8}}=>[5,3]=>3 {{1,2,4,5,6},{3,7,8}}=>[5,3]=>3 {{1,2,3,5,6},{4,7,8}}=>[5,3]=>3 {{1,2,3,4,6},{5,7,8}}=>[5,3]=>3 {{1,4,6,7,8},{2,5},{3}}=>[5,2,1]=>1 {{1,3,6,7,8},{2,5},{4}}=>[5,2,1]=>1 {{1,3,6,7,8},{2,4},{5}}=>[5,2,1]=>1 {{1,2,5,7,8},{3,6},{4}}=>[5,2,1]=>1 {{1,3,4,7,8},{2,6},{5}}=>[5,2,1]=>1 {{1,2,4,7,8},{3,6},{5}}=>[5,2,1]=>1 {{1,3,4,7,8},{2,5},{6}}=>[5,2,1]=>1 {{1,3,5,6,8},{2,7},{4}}=>[5,2,1]=>1 {{1,2,5,6,8},{3,7},{4}}=>[5,2,1]=>1 {{1,3,4,6,8},{2,7},{5}}=>[5,2,1]=>1 {{1,2,4,6,8},{3,7},{5}}=>[5,2,1]=>1 {{1,3,4,5,8},{2,7},{6}}=>[5,2,1]=>1 {{1,3,5,6,8},{2,4},{7}}=>[5,2,1]=>1 {{1,3,4,6,8},{2,5},{7}}=>[5,2,1]=>1 {{1,2,4,5,8},{3,6},{7}}=>[5,2,1]=>1 {{1,3,4,6,7},{2,8},{5}}=>[5,2,1]=>1 {{1,2,4,6,7},{3,8},{5}}=>[5,2,1]=>1 {{1,3,4,5,7},{2,8},{6}}=>[5,2,1]=>1 {{1,2,4,5,7},{3,8},{6}}=>[5,2,1]=>1 {{1,2,3,5,7},{4,8},{6}}=>[5,2,1]=>1 {{1,3,4,5,6},{2,8},{7}}=>[5,2,1]=>1 {{1,2,3,5,6},{4,8},{7}}=>[5,2,1]=>1 {{1,2,3,4,6},{5,8},{7}}=>[5,2,1]=>1 {{1,3,5,6,7},{2,4},{8}}=>[5,2,1]=>1 {{1,3,4,6,7},{2,5},{8}}=>[5,2,1]=>1 {{1,2,4,6,7},{3,5},{8}}=>[5,2,1]=>1 {{1,2,4,5,7},{3,6},{8}}=>[5,2,1]=>1 {{1,2,3,5,7},{4,6},{8}}=>[5,2,1]=>1 {{1,2,3,5,6},{4,7},{8}}=>[5,2,1]=>1 {{1,2,3,4,6},{5,7},{8}}=>[5,2,1]=>1 {{1,3,5,7},{2,4,6,8}}=>[4,4]=>4 {{1,2,5,7},{3,4,6,8}}=>[4,4]=>4 {{1,3,4,7},{2,5,6,8}}=>[4,4]=>4 {{1,2,4,7},{3,5,6,8}}=>[4,4]=>4 {{1,2,3,7},{4,5,6,8}}=>[4,4]=>4 {{1,3,5,6},{2,4,7,8}}=>[4,4]=>4 {{1,2,5,6},{3,4,7,8}}=>[4,4]=>4 {{1,3,4,6},{2,5,7,8}}=>[4,4]=>4 {{1,2,4,6},{3,5,7,8}}=>[4,4]=>4 {{1,2,3,6},{4,5,7,8}}=>[4,4]=>4 {{1,3,4,5},{2,6,7,8}}=>[4,4]=>4 {{1,2,4,5},{3,6,7,8}}=>[4,4]=>4 {{1,2,3,5},{4,6,7,8}}=>[4,4]=>4 {{1,3,6,8},{2,5,7},{4}}=>[4,3,1]=>1 {{1,2,6,8},{3,5,7},{4}}=>[4,3,1]=>1 {{1,2,5,8},{3,6,7},{4}}=>[4,3,1]=>1 {{1,2,5,8},{3,4,7},{6}}=>[4,3,1]=>1 {{1,3,4,8},{2,5,7},{6}}=>[4,3,1]=>1 {{1,2,5,8},{3,4,6},{7}}=>[4,3,1]=>1 {{1,2,4,8},{3,5,6},{7}}=>[4,3,1]=>1 {{1,2,6,7},{3,5,8},{4}}=>[4,3,1]=>1 {{1,3,6,7},{2,4,8},{5}}=>[4,3,1]=>1 {{1,4,5,7},{2,6,8},{3}}=>[4,3,1]=>1 {{1,3,5,7},{2,6,8},{4}}=>[4,3,1]=>1 {{1,3,4,7},{2,6,8},{5}}=>[4,3,1]=>1 {{1,2,4,7},{3,6,8},{5}}=>[4,3,1]=>1 {{1,3,5,7},{2,4,8},{6}}=>[4,3,1]=>1 {{1,2,5,7},{3,4,8},{6}}=>[4,3,1]=>1 {{1,2,4,7},{3,5,8},{6}}=>[4,3,1]=>1 {{1,3,4,5},{2,7,8},{6}}=>[4,3,1]=>1 {{1,2,4,5},{3,7,8},{6}}=>[4,3,1]=>1 {{1,3,5,6},{2,4,8},{7}}=>[4,3,1]=>1 {{1,2,3,6},{4,5,8},{7}}=>[4,3,1]=>1 {{1,2,4,5},{3,6,8},{7}}=>[4,3,1]=>1 {{1,3,5,7},{2,4,6},{8}}=>[4,3,1]=>1 {{1,3,4,6},{2,5,7},{8}}=>[4,3,1]=>1 {{1,2,3,5},{4,6,7},{8}}=>[4,3,1]=>1 {{1,4,7,8},{2,5},{3,6}}=>[4,2,2]=>2 {{1,2,7,8},{3,5},{4,6}}=>[4,2,2]=>2 {{1,2,6,8},{3,5},{4,7}}=>[4,2,2]=>2 {{1,3,6,8},{2,4},{5,7}}=>[4,2,2]=>2 {{1,4,5,8},{2,6},{3,7}}=>[4,2,2]=>2 {{1,3,5,8},{2,6},{4,7}}=>[4,2,2]=>2 {{1,2,5,8},{3,6},{4,7}}=>[4,2,2]=>2 {{1,3,4,8},{2,6},{5,7}}=>[4,2,2]=>2 {{1,3,5,8},{2,4},{6,7}}=>[4,2,2]=>2 {{1,2,4,8},{3,5},{6,7}}=>[4,2,2]=>2 {{1,3,6,7},{2,4},{5,8}}=>[4,2,2]=>2 {{1,2,6,7},{3,4},{5,8}}=>[4,2,2]=>2 {{1,4,5,7},{2,6},{3,8}}=>[4,2,2]=>2 {{1,3,5,7},{2,6},{4,8}}=>[4,2,2]=>2 {{1,3,4,7},{2,6},{5,8}}=>[4,2,2]=>2 {{1,2,3,7},{4,6},{5,8}}=>[4,2,2]=>2 {{1,2,5,7},{3,4},{6,8}}=>[4,2,2]=>2 {{1,3,4,7},{2,5},{6,8}}=>[4,2,2]=>2 {{1,2,5,6},{3,7},{4,8}}=>[4,2,2]=>2 {{1,3,4,6},{2,7},{5,8}}=>[4,2,2]=>2 {{1,2,4,6},{3,7},{5,8}}=>[4,2,2]=>2 {{1,2,3,6},{4,7},{5,8}}=>[4,2,2]=>2 {{1,2,4,5},{3,7},{6,8}}=>[4,2,2]=>2 {{1,2,3,5},{4,7},{6,8}}=>[4,2,2]=>2 {{1,2,3,4},{5,7},{6,8}}=>[4,2,2]=>2 {{1,3,5,6},{2,4},{7,8}}=>[4,2,2]=>2 {{1,3,4,6},{2,5},{7,8}}=>[4,2,2]=>2 {{1,2,4,6},{3,5},{7,8}}=>[4,2,2]=>2 {{1,2,4,5},{3,6},{7,8}}=>[4,2,2]=>2 {{1,2,3,5},{4,6},{7,8}}=>[4,2,2]=>2 {{1,5,7,8},{2,6},{3},{4}}=>[4,2,1,1]=>1 {{1,4,7,8},{2,6},{3},{5}}=>[4,2,1,1]=>1 {{1,3,7,8},{2,6},{4},{5}}=>[4,2,1,1]=>1 {{1,4,7,8},{2,5},{3},{6}}=>[4,2,1,1]=>1 {{1,3,7,8},{2,5},{4},{6}}=>[4,2,1,1]=>1 {{1,3,7,8},{2,4},{5},{6}}=>[4,2,1,1]=>1 {{1,5,6,8},{2,7},{3},{4}}=>[4,2,1,1]=>1 {{1,4,6,8},{2,7},{3},{5}}=>[4,2,1,1]=>1 {{1,3,6,8},{2,7},{4},{5}}=>[4,2,1,1]=>1 {{1,2,6,8},{3,7},{4},{5}}=>[4,2,1,1]=>1 {{1,4,5,8},{2,7},{3},{6}}=>[4,2,1,1]=>1 {{1,3,5,8},{2,7},{4},{6}}=>[4,2,1,1]=>1 {{1,2,5,8},{3,7},{4},{6}}=>[4,2,1,1]=>1 {{1,3,4,8},{2,7},{5},{6}}=>[4,2,1,1]=>1 {{1,2,4,8},{3,7},{5},{6}}=>[4,2,1,1]=>1 {{1,4,6,8},{2,5},{3},{7}}=>[4,2,1,1]=>1 {{1,3,6,8},{2,5},{4},{7}}=>[4,2,1,1]=>1 {{1,3,6,8},{2,4},{5},{7}}=>[4,2,1,1]=>1 {{1,4,5,8},{2,6},{3},{7}}=>[4,2,1,1]=>1 {{1,3,5,8},{2,6},{4},{7}}=>[4,2,1,1]=>1 {{1,2,5,8},{3,6},{4},{7}}=>[4,2,1,1]=>1 {{1,3,4,8},{2,6},{5},{7}}=>[4,2,1,1]=>1 {{1,2,4,8},{3,6},{5},{7}}=>[4,2,1,1]=>1 {{1,3,4,8},{2,5},{6},{7}}=>[4,2,1,1]=>1 {{1,2,4,8},{3,5},{6},{7}}=>[4,2,1,1]=>1 {{1,5,6,7},{2,8},{3},{4}}=>[4,2,1,1]=>1 {{1,4,6,7},{2,8},{3},{5}}=>[4,2,1,1]=>1 {{1,3,6,7},{2,8},{4},{5}}=>[4,2,1,1]=>1 {{1,2,6,7},{3,8},{4},{5}}=>[4,2,1,1]=>1 {{1,4,5,7},{2,8},{3},{6}}=>[4,2,1,1]=>1 {{1,3,5,7},{2,8},{4},{6}}=>[4,2,1,1]=>1 {{1,2,5,7},{3,8},{4},{6}}=>[4,2,1,1]=>1 {{1,3,4,7},{2,8},{5},{6}}=>[4,2,1,1]=>1 {{1,2,4,7},{3,8},{5},{6}}=>[4,2,1,1]=>1 {{1,4,5,6},{2,8},{3},{7}}=>[4,2,1,1]=>1 {{1,3,5,6},{2,8},{4},{7}}=>[4,2,1,1]=>1 {{1,2,5,6},{3,8},{4},{7}}=>[4,2,1,1]=>1 {{1,3,4,6},{2,8},{5},{7}}=>[4,2,1,1]=>1 {{1,2,4,6},{3,8},{5},{7}}=>[4,2,1,1]=>1 {{1,2,3,6},{4,8},{5},{7}}=>[4,2,1,1]=>1 {{1,3,4,5},{2,8},{6},{7}}=>[4,2,1,1]=>1 {{1,2,4,5},{3,8},{6},{7}}=>[4,2,1,1]=>1 {{1,2,3,5},{4,8},{6},{7}}=>[4,2,1,1]=>1 {{1,4,6,7},{2,5},{3},{8}}=>[4,2,1,1]=>1 {{1,3,6,7},{2,5},{4},{8}}=>[4,2,1,1]=>1 {{1,4,5,7},{2,6},{3},{8}}=>[4,2,1,1]=>1 {{1,3,5,7},{2,6},{4},{8}}=>[4,2,1,1]=>1 {{1,2,5,7},{3,6},{4},{8}}=>[4,2,1,1]=>1 {{1,3,4,7},{2,6},{5},{8}}=>[4,2,1,1]=>1 {{1,2,4,7},{3,6},{5},{8}}=>[4,2,1,1]=>1 {{1,3,5,7},{2,4},{6},{8}}=>[4,2,1,1]=>1 {{1,3,4,7},{2,5},{6},{8}}=>[4,2,1,1]=>1 {{1,2,4,7},{3,5},{6},{8}}=>[4,2,1,1]=>1 {{1,4,5,6},{2,7},{3},{8}}=>[4,2,1,1]=>1 {{1,3,4,6},{2,7},{5},{8}}=>[4,2,1,1]=>1 {{1,2,4,6},{3,7},{5},{8}}=>[4,2,1,1]=>1 {{1,2,3,6},{4,7},{5},{8}}=>[4,2,1,1]=>1 {{1,3,4,5},{2,7},{6},{8}}=>[4,2,1,1]=>1 {{1,2,4,5},{3,7},{6},{8}}=>[4,2,1,1]=>1 {{1,2,3,5},{4,7},{6},{8}}=>[4,2,1,1]=>1 {{1,3,5,6},{2,4},{7},{8}}=>[4,2,1,1]=>1 {{1,2,4,6},{3,5},{7},{8}}=>[4,2,1,1]=>1 {{1,3,4,5},{2,6},{7},{8}}=>[4,2,1,1]=>1 {{1,2,4,5},{3,6},{7},{8}}=>[4,2,1,1]=>1 {{1,2,3,5},{4,6},{7},{8}}=>[4,2,1,1]=>1 {{1,4,7},{2,5,8},{3,6}}=>[3,3,2]=>2 {{1,3,7},{2,4,8},{5,6}}=>[3,3,2]=>2 {{1,4,6},{2,5,8},{3,7}}=>[3,3,2]=>2 {{1,3,6},{2,5,8},{4,7}}=>[3,3,2]=>2 {{1,2,6},{3,4,8},{5,7}}=>[3,3,2]=>2 {{1,4,5},{2,6,8},{3,7}}=>[3,3,2]=>2 {{1,3,5},{2,6,8},{4,7}}=>[3,3,2]=>2 {{1,2,5},{3,6,8},{4,7}}=>[3,3,2]=>2 {{1,3,4},{2,6,8},{5,7}}=>[3,3,2]=>2 {{1,3,5},{2,4,8},{6,7}}=>[3,3,2]=>2 {{1,2,5},{3,4,8},{6,7}}=>[3,3,2]=>2 {{1,3,4},{2,5,8},{6,7}}=>[3,3,2]=>2 {{1,2,4},{3,5,8},{6,7}}=>[3,3,2]=>2 {{1,4,6},{2,5,7},{3,8}}=>[3,3,2]=>2 {{1,3,6},{2,5,7},{4,8}}=>[3,3,2]=>2 {{1,2,4},{3,5,7},{6,8}}=>[3,3,2]=>2 {{1,2,5},{3,4,6},{7,8}}=>[3,3,2]=>2 {{1,3,4},{2,5,6},{7,8}}=>[3,3,2]=>2 {{1,2,4},{3,5,6},{7,8}}=>[3,3,2]=>2 {{1,5,7},{2,6,8},{3},{4}}=>[3,3,1,1]=>1 {{1,4,7},{2,6,8},{3},{5}}=>[3,3,1,1]=>1 {{1,3,7},{2,6,8},{4},{5}}=>[3,3,1,1]=>1 {{1,2,7},{3,6,8},{4},{5}}=>[3,3,1,1]=>1 {{1,4,7},{2,5,8},{3},{6}}=>[3,3,1,1]=>1 {{1,3,7},{2,5,8},{4},{6}}=>[3,3,1,1]=>1 {{1,2,7},{3,5,8},{4},{6}}=>[3,3,1,1]=>1 {{1,3,7},{2,4,8},{5},{6}}=>[3,3,1,1]=>1 {{1,2,7},{3,4,8},{5},{6}}=>[3,3,1,1]=>1 {{1,5,6},{2,7,8},{3},{4}}=>[3,3,1,1]=>1 {{1,4,6},{2,7,8},{3},{5}}=>[3,3,1,1]=>1 {{1,3,6},{2,7,8},{4},{5}}=>[3,3,1,1]=>1 {{1,2,6},{3,7,8},{4},{5}}=>[3,3,1,1]=>1 {{1,4,5},{2,7,8},{3},{6}}=>[3,3,1,1]=>1 {{1,3,5},{2,7,8},{4},{6}}=>[3,3,1,1]=>1 {{1,2,5},{3,7,8},{4},{6}}=>[3,3,1,1]=>1 {{1,3,4},{2,7,8},{5},{6}}=>[3,3,1,1]=>1 {{1,2,4},{3,7,8},{5},{6}}=>[3,3,1,1]=>1 {{1,4,6},{2,5,8},{3},{7}}=>[3,3,1,1]=>1 {{1,3,6},{2,5,8},{4},{7}}=>[3,3,1,1]=>1 {{1,2,6},{3,5,8},{4},{7}}=>[3,3,1,1]=>1 {{1,3,6},{2,4,8},{5},{7}}=>[3,3,1,1]=>1 {{1,2,6},{3,4,8},{5},{7}}=>[3,3,1,1]=>1 {{1,4,5},{2,6,8},{3},{7}}=>[3,3,1,1]=>1 {{1,3,5},{2,6,8},{4},{7}}=>[3,3,1,1]=>1 {{1,2,5},{3,6,8},{4},{7}}=>[3,3,1,1]=>1 {{1,3,4},{2,6,8},{5},{7}}=>[3,3,1,1]=>1 {{1,2,4},{3,6,8},{5},{7}}=>[3,3,1,1]=>1 {{1,3,5},{2,4,8},{6},{7}}=>[3,3,1,1]=>1 {{1,2,5},{3,4,8},{6},{7}}=>[3,3,1,1]=>1 {{1,3,4},{2,5,8},{6},{7}}=>[3,3,1,1]=>1 {{1,2,4},{3,5,8},{6},{7}}=>[3,3,1,1]=>1 {{1,4,6},{2,5,7},{3},{8}}=>[3,3,1,1]=>1 {{1,3,6},{2,5,7},{4},{8}}=>[3,3,1,1]=>1 {{1,2,6},{3,5,7},{4},{8}}=>[3,3,1,1]=>1 {{1,3,6},{2,4,7},{5},{8}}=>[3,3,1,1]=>1 {{1,3,5},{2,6,7},{4},{8}}=>[3,3,1,1]=>1 {{1,2,5},{3,6,7},{4},{8}}=>[3,3,1,1]=>1 {{1,3,4},{2,6,7},{5},{8}}=>[3,3,1,1]=>1 {{1,3,5},{2,4,7},{6},{8}}=>[3,3,1,1]=>1 {{1,2,5},{3,4,7},{6},{8}}=>[3,3,1,1]=>1 {{1,3,4},{2,5,7},{6},{8}}=>[3,3,1,1]=>1 {{1,2,4},{3,5,7},{6},{8}}=>[3,3,1,1]=>1 {{1,3,5},{2,4,6},{7},{8}}=>[3,3,1,1]=>1 {{1,2,5},{3,4,6},{7},{8}}=>[3,3,1,1]=>1 {{1,5,8},{2,6},{3,7},{4}}=>[3,2,2,1]=>1 {{1,4,8},{2,6},{3,7},{5}}=>[3,2,2,1]=>1 {{1,3,8},{2,6},{4,7},{5}}=>[3,2,2,1]=>1 {{1,2,8},{3,6},{4,7},{5}}=>[3,2,2,1]=>1 {{1,4,8},{2,5},{3,7},{6}}=>[3,2,2,1]=>1 {{1,3,8},{2,5},{4,7},{6}}=>[3,2,2,1]=>1 {{1,2,8},{3,5},{4,7},{6}}=>[3,2,2,1]=>1 {{1,3,8},{2,4},{5,7},{6}}=>[3,2,2,1]=>1 {{1,4,8},{2,5},{3,6},{7}}=>[3,2,2,1]=>1 {{1,3,8},{2,5},{4,6},{7}}=>[3,2,2,1]=>1 {{1,2,8},{3,5},{4,6},{7}}=>[3,2,2,1]=>1 {{1,3,8},{2,4},{5,6},{7}}=>[3,2,2,1]=>1 {{1,5,7},{2,6},{3,8},{4}}=>[3,2,2,1]=>1 {{1,4,7},{2,6},{3,8},{5}}=>[3,2,2,1]=>1 {{1,3,7},{2,6},{4,8},{5}}=>[3,2,2,1]=>1 {{1,2,7},{3,6},{4,8},{5}}=>[3,2,2,1]=>1 {{1,4,7},{2,5},{3,8},{6}}=>[3,2,2,1]=>1 {{1,3,7},{2,5},{4,8},{6}}=>[3,2,2,1]=>1 {{1,2,7},{3,5},{4,8},{6}}=>[3,2,2,1]=>1 {{1,3,7},{2,4},{5,8},{6}}=>[3,2,2,1]=>1 {{1,2,7},{3,4},{5,8},{6}}=>[3,2,2,1]=>1 {{1,5,6},{2,7},{3,8},{4}}=>[3,2,2,1]=>1 {{1,4,6},{2,7},{3,8},{5}}=>[3,2,2,1]=>1 {{1,3,6},{2,7},{4,8},{5}}=>[3,2,2,1]=>1 {{1,2,6},{3,7},{4,8},{5}}=>[3,2,2,1]=>1 {{1,4,5},{2,7},{3,8},{6}}=>[3,2,2,1]=>1 {{1,3,5},{2,7},{4,8},{6}}=>[3,2,2,1]=>1 {{1,2,5},{3,7},{4,8},{6}}=>[3,2,2,1]=>1 {{1,3,4},{2,7},{5,8},{6}}=>[3,2,2,1]=>1 {{1,2,4},{3,7},{5,8},{6}}=>[3,2,2,1]=>1 {{1,2,3},{4,7},{5,8},{6}}=>[3,2,2,1]=>1 {{1,4,6},{2,5},{3,8},{7}}=>[3,2,2,1]=>1 {{1,3,6},{2,5},{4,8},{7}}=>[3,2,2,1]=>1 {{1,2,6},{3,5},{4,8},{7}}=>[3,2,2,1]=>1 {{1,3,6},{2,4},{5,8},{7}}=>[3,2,2,1]=>1 {{1,2,6},{3,4},{5,8},{7}}=>[3,2,2,1]=>1 {{1,4,5},{2,6},{3,8},{7}}=>[3,2,2,1]=>1 {{1,3,5},{2,6},{4,8},{7}}=>[3,2,2,1]=>1 {{1,2,5},{3,6},{4,8},{7}}=>[3,2,2,1]=>1 {{1,3,4},{2,6},{5,8},{7}}=>[3,2,2,1]=>1 {{1,2,4},{3,6},{5,8},{7}}=>[3,2,2,1]=>1 {{1,2,3},{4,6},{5,8},{7}}=>[3,2,2,1]=>1 {{1,3,5},{2,4},{6,8},{7}}=>[3,2,2,1]=>1 {{1,3,4},{2,5},{6,8},{7}}=>[3,2,2,1]=>1 {{1,4,7},{2,5},{3,6},{8}}=>[3,2,2,1]=>1 {{1,3,7},{2,5},{4,6},{8}}=>[3,2,2,1]=>1 {{1,2,7},{3,5},{4,6},{8}}=>[3,2,2,1]=>1 {{1,3,7},{2,4},{5,6},{8}}=>[3,2,2,1]=>1 {{1,2,6},{3,5},{4,7},{8}}=>[3,2,2,1]=>1 {{1,3,6},{2,4},{5,7},{8}}=>[3,2,2,1]=>1 {{1,2,6},{3,4},{5,7},{8}}=>[3,2,2,1]=>1 {{1,4,5},{2,6},{3,7},{8}}=>[3,2,2,1]=>1 {{1,3,5},{2,6},{4,7},{8}}=>[3,2,2,1]=>1 {{1,2,5},{3,6},{4,7},{8}}=>[3,2,2,1]=>1 {{1,3,4},{2,6},{5,7},{8}}=>[3,2,2,1]=>1 {{1,2,4},{3,6},{5,7},{8}}=>[3,2,2,1]=>1 {{1,2,3},{4,6},{5,7},{8}}=>[3,2,2,1]=>1 {{1,3,4},{2,5},{6,7},{8}}=>[3,2,2,1]=>1 {{1,3,8},{2,4},{5},{6},{7}}=>[3,2,1,1,1]=>1 {{1,6,7},{2,8},{3},{4},{5}}=>[3,2,1,1,1]=>1 {{1,3,4},{2,8},{5},{6},{7}}=>[3,2,1,1,1]=>1 {{1,4,7},{2,6},{3},{5},{8}}=>[3,2,1,1,1]=>1 {{1,4,7},{2,5},{3},{6},{8}}=>[3,2,1,1,1]=>1 {{1,3,7},{2,4},{5},{6},{8}}=>[3,2,1,1,1]=>1 {{1,4,6},{2,7},{3},{5},{8}}=>[3,2,1,1,1]=>1 {{1,3,5},{2,4},{6},{7},{8}}=>[3,2,1,1,1]=>1 {{1,5},{2,6},{3,7},{4},{8}}=>[2,2,2,1,1]=>1 {{1,3},{2,6},{4,7},{5},{8}}=>[2,2,2,1,1]=>1 {{1,3},{2,5},{4,7},{6},{8}}=>[2,2,2,1,1]=>1 {{1,4},{2,5},{3,6},{7},{8}}=>[2,2,2,1,1]=>1 {{1,3},{2,5},{4,6},{7},{8}}=>[2,2,2,1,1]=>1 {{1,7},{2,8},{3},{4},{5},{6}}=>[2,2,1,1,1,1]=>1 {{1,6},{2,8},{3},{4},{5},{7}}=>[2,2,1,1,1,1]=>1 {{1,4},{2,8},{3},{5},{6},{7}}=>[2,2,1,1,1,1]=>1 {{1,3},{2,8},{4},{5},{6},{7}}=>[2,2,1,1,1,1]=>1 {{1,5},{2,6},{3},{4},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,4},{2,5},{3},{6},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,3},{2,4},{5},{6},{7},{8}}=>[2,2,1,1,1,1]=>1 {{1,3,5,8},{2},{4,6},{7}}=>[4,1,2,1]=>1 {{1,3,5,7},{2},{4},{6,8}}=>[4,1,1,2]=>1 {{1,5,7},{2,4},{3},{6,8}}=>[3,2,1,2]=>1 {{1,5},{2,4,8},{3},{6,7}}=>[2,3,1,2]=>1 {{1,5,8},{2,4},{3,6},{7}}=>[3,2,2,1]=>1 {{1,6,8},{2,4},{3,5},{7}}=>[3,2,2,1]=>1 {{1},{2,3,5,8},{4,6},{7}}=>[1,4,2,1]=>1 {{1,5,8},{2,6},{3,4},{7}}=>[3,2,2,1]=>1 {{1,4,8},{2,6},{3,5},{7}}=>[3,2,2,1]=>1 {{1,4},{2,5,8},{3},{6,7}}=>[2,3,1,2]=>1 {{1,4,7},{2,5},{3},{6,8}}=>[3,2,1,2]=>1 {{1,4},{2},{3,6,7},{5,8}}=>[2,1,3,2]=>1 {{1,4},{2},{3,6},{5,7,8}}=>[2,1,2,3]=>1 {{1,4},{2},{3,7},{5,6,8}}=>[2,1,2,3]=>1 {{1,4},{2},{3,5,8},{6,7}}=>[2,1,3,2]=>1 {{1,5},{2},{3,4,8},{6,7}}=>[2,1,3,2]=>1 {{1,2,5},{3},{4,7,8},{6}}=>[3,1,3,1]=>1 {{1,2,5,7},{3},{4,8},{6}}=>[4,1,2,1]=>1 {{1},{2,3,5,7},{4},{6,8}}=>[1,4,1,2]=>1 {{1,5,7},{2},{3,4},{6,8}}=>[3,1,2,2]=>1 {{1,4,7},{2},{3,5},{6,8}}=>[3,1,2,2]=>1 {{1,4},{2},{3,8},{5,6,7}}=>[2,1,2,3]=>1 {{1,4,6},{2},{3,8},{5,7}}=>[3,1,2,2]=>1 {{1,4,6},{2},{3,7},{5,8}}=>[3,1,2,2]=>1 {{1},{2,6},{3,4,7},{5,8}}=>[1,2,3,2]=>1 {{1,6},{2,3,7},{4},{5,8}}=>[2,3,1,2]=>1 {{1,2},{3,6,7},{4,8},{5}}=>[2,3,2,1]=>1 {{1,2},{3,6},{4,7,8},{5}}=>[2,2,3,1]=>1 {{1,6},{2,3},{4},{5,7,8}}=>[2,2,1,3]=>1 {{1},{2,6},{3,4},{5,7,8}}=>[1,2,2,3]=>1 {{1},{2,7},{3,4},{5,6,8}}=>[1,2,2,3]=>1 {{1,7},{2,3},{4},{5,6,8}}=>[2,2,1,3]=>1 {{1,2},{3,7},{4,6,8},{5}}=>[2,2,3,1]=>1 {{1,2},{3,5,8},{4,7},{6}}=>[2,3,2,1]=>1 {{1,7},{2,3,8},{4,5},{6}}=>[2,3,2,1]=>1 {{1},{2,5},{3,4,8},{6,7}}=>[1,2,3,2]=>1 {{1},{2,4},{3,5,8},{6,7}}=>[1,2,3,2]=>1 {{1},{2,4},{3,7},{5,6,8}}=>[1,2,2,3]=>1 {{1},{2,4},{3,6},{5,7,8}}=>[1,2,2,3]=>1 {{1},{2,4},{3,6,7},{5,8}}=>[1,2,3,2]=>1 {{1,3},{2,6,7},{4},{5,8}}=>[2,3,1,2]=>1 {{1,3},{2,6},{4},{5,7,8}}=>[2,2,1,3]=>1 {{1,3},{2,7},{4},{5,6,8}}=>[2,2,1,3]=>1 {{1,3},{2,7,8},{4,5},{6}}=>[2,3,2,1]=>1 {{1,3,8},{2,4,7},{5},{6}}=>[3,3,1,1]=>1 {{1,4,8},{2,3,7},{5},{6}}=>[3,3,1,1]=>1 {{1,4,7},{2,3,8},{5},{6}}=>[3,3,1,1]=>1 {{1,3,7},{2,8},{4,5},{6}}=>[3,2,2,1]=>1 {{1,3},{2,8},{4},{5,6,7}}=>[2,2,1,3]=>1 {{1,3,6},{2,8},{4},{5,7}}=>[3,2,1,2]=>1 {{1,3,6},{2,7},{4},{5,8}}=>[3,2,1,2]=>1 {{1},{2,4,6},{3,7},{5,8}}=>[1,3,2,2]=>1 {{1},{2,4,6},{3,8},{5,7}}=>[1,3,2,2]=>1 {{1},{2,4},{3,8},{5,6,7}}=>[1,2,2,3]=>1 {{1},{2,4,7},{3,5},{6,8}}=>[1,3,2,2]=>1 {{1},{2,5,7},{3,4},{6,8}}=>[1,3,2,2]=>1 {{1},{2,8},{3,4,6},{5,7}}=>[1,2,3,2]=>1 {{1,8},{2,3,6},{4},{5,7}}=>[2,3,1,2]=>1 {{1,2,6},{3,8},{4,7},{5}}=>[3,2,2,1]=>1 {{1,7},{2,3,6},{4},{5,8}}=>[2,3,1,2]=>1 {{1},{2,7},{3,4,6},{5,8}}=>[1,2,3,2]=>1 {{1,2},{3,6,8},{4,7},{5}}=>[2,3,2,1]=>1 {{1,2},{3,5,7},{4,8},{6}}=>[2,3,2,1]=>1 {{1,2},{3,7},{4,5,8},{6}}=>[2,2,3,1]=>1 {{1,4,8},{2,7},{3},{5,6}}=>[3,2,1,2]=>1 {{1,3,7},{2,8},{4},{5,6}}=>[3,2,1,2]=>1 {{1,3,7},{2,8},{4,6},{5}}=>[3,2,2,1]=>1 {{1,3,7},{2},{4,5,8},{6}}=>[3,1,3,1]=>1 {{1,7},{2,3},{4,5,8},{6}}=>[2,2,3,1]=>1 {{1,7},{2,3,8},{4,6},{5}}=>[2,3,2,1]=>1 {{1,7},{2,3,8},{4},{5,6}}=>[2,3,1,2]=>1 {{1,7,8},{2,5},{3,6},{4}}=>[3,2,2,1]=>1 {{1,7},{2,4,6,8},{3},{5}}=>[2,4,1,1]=>1 {{1,7},{2,4,5},{3,8},{6}}=>[2,3,2,1]=>1 {{1,4,6},{2,5},{3},{7,8}}=>[3,2,1,2]=>1 {{1,5,7,8},{2},{3,6},{4}}=>[4,1,2,1]=>1 {{1,5,8},{2,7},{3,6},{4}}=>[3,2,2,1]=>1 {{1,8},{2,5,7},{3,6},{4}}=>[2,3,2,1]=>1 {{1,5,8},{2,6,7},{3},{4}}=>[3,3,1,1]=>1 {{1,4,5,7},{2},{3,8},{6}}=>[4,1,2,1]=>1 {{1,3,5},{2,6},{4},{7,8}}=>[3,2,1,2]=>1 {{1,3,6},{2,8},{4,7},{5}}=>[3,2,2,1]=>1 {{1,4,6,8},{2},{3,7},{5}}=>[4,1,2,1]=>1 {{1,8},{2,4,6},{3,7},{5}}=>[2,3,2,1]=>1 {{1,4,8},{2,5},{3},{6,7}}=>[3,2,1,2]=>1 {{1,3,5},{2,8},{4},{6,7}}=>[3,2,1,2]=>1 {{1,5},{2,3,8},{4},{6,7}}=>[2,3,1,2]=>1 {{1,8},{2,6},{3,4,7},{5}}=>[2,2,3,1]=>1 {{1,6,8},{2},{3,4,7},{5}}=>[3,1,3,1]=>1 {{1,6,8},{2,4},{3,7},{5}}=>[3,2,2,1]=>1 {{1,6},{2,3,8},{4,7},{5}}=>[2,3,2,1]=>1 {{1,6},{2,3,7,8},{4},{5}}=>[2,4,1,1]=>1 {{1,5},{2,3,7},{4,8},{6}}=>[2,3,2,1]=>1 {{1,5},{2,3,6},{4},{7,8}}=>[2,3,1,2]=>1 {{1,5,7},{2,4},{3,8},{6}}=>[3,2,2,1]=>1 {{1,6,7},{2,4,8},{3},{5}}=>[3,3,1,1]=>1 {{1,6,8},{2,5,7},{3},{4}}=>[3,3,1,1]=>1 {{1,6,8},{2,7},{3,5},{4}}=>[3,2,2,1]=>1 {{1,6,8},{2,7},{3},{4,5}}=>[3,2,1,2]=>1 {{1,6,7},{2,8},{3,4},{5}}=>[3,2,2,1]=>1 {{1,5,7},{2},{3,4,8},{6}}=>[3,1,3,1]=>1 {{1,7},{2,5},{3,4,8},{6}}=>[2,2,3,1]=>1 {{1,7},{2,6,8},{3,4},{5}}=>[2,3,2,1]=>1 {{1,4,8},{2,3,6},{5},{7}}=>[3,3,1,1]=>1 {{1,5},{2,4,8},{3,7},{6}}=>[2,3,2,1]=>1 {{1,5},{2,4,7},{3,8},{6}}=>[2,3,2,1]=>1 {{1,5},{2,4,8},{3,6},{7}}=>[2,3,2,1]=>1 {{1,6},{2,4,8},{3,5},{7}}=>[2,3,2,1]=>1 {{1,6},{2,5},{3,4,8},{7}}=>[2,2,3,1]=>1 {{1,6},{2,3,5},{4,8},{7}}=>[2,3,2,1]=>1 {{1,5},{2,3,6},{4,8},{7}}=>[2,3,2,1]=>1 {{1,5},{2,6},{3,4,8},{7}}=>[2,2,3,1]=>1 {{1,4,8},{2,7},{3,6},{5}}=>[3,2,2,1]=>1 {{1,4,7},{2,8},{3,6},{5}}=>[3,2,2,1]=>1 {{1,4,6},{2,8},{3,7},{5}}=>[3,2,2,1]=>1 {{1,4,7},{2,8},{3,5},{6}}=>[3,2,2,1]=>1 {{1,5},{2,8},{3,4,7},{6}}=>[2,2,3,1]=>1 {{1,5},{2,3,8},{4,7},{6}}=>[2,3,2,1]=>1 {{1,2,5},{3,8},{4,7},{6}}=>[3,2,2,1]=>1 {{1,5},{2,7},{3,4,8},{6}}=>[2,2,3,1]=>1 {{1,4,8},{2,7},{3,5},{6}}=>[3,2,2,1]=>1 {{1,7},{2,6},{3,4,8},{5}}=>[2,2,3,1]=>1 {{1,7},{2,3,6},{4,8},{5}}=>[2,3,2,1]=>1 {{1,8},{2,3,6},{4,7},{5}}=>[2,3,2,1]=>1 {{1,8},{2,3,5},{4,7},{6}}=>[2,3,2,1]=>1 {{1,8},{2,5},{3,4,7},{6}}=>[2,2,3,1]=>1 {{1,8},{2,4,7},{3,5},{6}}=>[2,3,2,1]=>1 {{1,8},{2,4,7},{3,6},{5}}=>[2,3,2,1]=>1 {{1,7},{2,4,8},{3,6},{5}}=>[2,3,2,1]=>1 {{1,3,5},{2,8},{4,7},{6}}=>[3,2,2,1]=>1 {{1,3,8},{2,7},{4,6},{5}}=>[3,2,2,1]=>1 {{1,6},{2,4,8},{3,7},{5}}=>[2,3,2,1]=>1 {{1,6},{2,4,7},{3,8},{5}}=>[2,3,2,1]=>1 {{1,7},{2,4,6},{3,8},{5}}=>[2,3,2,1]=>1 {{1,7},{2,4,8},{3,5},{6}}=>[2,3,2,1]=>1 {{1,7},{2,3,5},{4,8},{6}}=>[2,3,2,1]=>1 {{1,2,7},{3,8},{4,6},{5}}=>[3,2,2,1]=>1 {{1,7},{2,8},{3,4,6},{5}}=>[2,2,3,1]=>1 {{1,6},{2,8},{3,4,7},{5}}=>[2,2,3,1]=>1 {{1,6},{2,3,7},{4,8},{5}}=>[2,3,2,1]=>1 {{1,6},{2,7},{3,4,8},{5}}=>[2,2,3,1]=>1 {{1,3,5},{2},{4,6,8},{7}}=>[3,1,3,1]=>1 {{1,3},{2,4,6,8},{5},{7}}=>[2,4,1,1]=>1 {{1},{2,4,6,8},{3},{5,7}}=>[1,4,1,2]=>1 {{1,3},{2},{4,6,8},{5,7}}=>[2,1,3,2]=>1 {{1,3,6},{2},{4,8},{5,7}}=>[3,1,2,2]=>1 {{1,3,6},{2},{4,7},{5,8}}=>[3,1,2,2]=>1 {{1,3,5},{2},{4,7},{6,8}}=>[3,1,2,2]=>1 {{1,3,5,7},{2},{4,6},{8}}=>[4,1,2,1]=>1 {{1,3,7},{2},{4,6,8},{5}}=>[3,1,3,1]=>1 {{1,3,7},{2},{4,6},{5,8}}=>[3,1,2,2]=>1 {{1,3,5,7},{2},{4,8},{6}}=>[4,1,2,1]=>1 {{1,3},{2,4,8},{5,7},{6}}=>[2,3,2,1]=>1 {{1},{2,4,8},{3,5,7},{6}}=>[1,3,3,1]=>1 {{1,4},{2,8},{3,5,7},{6}}=>[2,2,3,1]=>1 {{1,4},{2,5,7},{3,8},{6}}=>[2,3,2,1]=>1 {{1,3},{2,5,7},{4,8},{6}}=>[2,3,2,1]=>1 {{1,3},{2,7},{4,6,8},{5}}=>[2,2,3,1]=>1 {{1,3,7},{2,4,6},{5},{8}}=>[3,3,1,1]=>1 {{1,7},{2,4,6},{3},{5,8}}=>[2,3,1,2]=>1 {{1,5,7},{2,4,8},{3},{6}}=>[3,3,1,1]=>1 {{1},{2,8},{3,5,7},{4,6}}=>[1,2,3,2]=>1 {{1,7},{2,4,6},{3,5},{8}}=>[2,3,2,1]=>1 {{1,4,7},{2,6},{3,5},{8}}=>[3,2,2,1]=>1 {{1},{2,5,8},{3,7},{4,6}}=>[1,3,2,2]=>1 {{1},{2,5,8},{3,6},{4,7}}=>[1,3,2,2]=>1 {{1},{2,4,8},{3,6},{5,7}}=>[1,3,2,2]=>1 {{1},{2,4,6,8},{3,5},{7}}=>[1,4,2,1]=>1 {{1,4},{2,6,8},{3,5},{7}}=>[2,3,2,1]=>1 {{1,4},{2,5},{3,6,8},{7}}=>[2,2,3,1]=>1 {{1,3},{2,5},{4,6,8},{7}}=>[2,2,3,1]=>1 {{1,5},{2,4,6,8},{3},{7}}=>[2,4,1,1]=>1 {{1,5},{2,4},{3,6,8},{7}}=>[2,2,3,1]=>1 {{1},{2,6,8},{3,5,7},{4}}=>[1,3,3,1]=>1 {{1,6},{2,8},{3,5,7},{4}}=>[2,2,3,1]=>1 {{1,6},{2,4,8},{3},{5,7}}=>[2,3,1,2]=>1 {{1,6},{2,4,7},{3},{5,8}}=>[2,3,1,2]=>1 {{1,5},{2,4,7},{3},{6,8}}=>[2,3,1,2]=>1 {{1,5,7},{2,4,6},{3},{8}}=>[3,3,1,1]=>1 {{1,5,7},{2,4},{3,6},{8}}=>[3,2,2,1]=>1 {{1},{2,6,8},{3,5},{4,7}}=>[1,3,2,2]=>1 {{1},{2,4,6,8},{3,7},{5}}=>[1,4,2,1]=>1 {{1,6},{2,7},{3,5,8},{4}}=>[2,2,3,1]=>1 {{1,3,5},{2,7},{4},{6,8}}=>[3,2,1,2]=>1 {{1,7},{2,6,8},{3,5},{4}}=>[2,3,2,1]=>1 {{1,7},{2,6},{3,5,8},{4}}=>[2,2,3,1]=>1 {{1,2},{3,4,6},{5,8},{7}}=>[2,3,2,1]=>1 {{1,2},{3,6},{4,5,8},{7}}=>[2,2,3,1]=>1 {{1,2},{3,5,6},{4,8},{7}}=>[2,3,2,1]=>1 {{1,2,5,6},{3},{4,8},{7}}=>[4,1,2,1]=>1 {{1,2,6},{3},{4,5,8},{7}}=>[3,1,3,1]=>1 {{1,6},{2,3},{4,5,8},{7}}=>[2,2,3,1]=>1 {{1,5,6},{2,3},{4,8},{7}}=>[3,2,2,1]=>1 {{1,5,6},{2,3,8},{4},{7}}=>[3,3,1,1]=>1 {{1,5,6},{2,8},{3,4},{7}}=>[3,2,2,1]=>1 {{1,5},{2,8},{3,4,6},{7}}=>[2,2,3,1]=>1 {{1,5},{2,3,8},{4,6},{7}}=>[2,3,2,1]=>1 {{1,6},{2,3,5,8},{4},{7}}=>[2,4,1,1]=>1 {{1,2,5},{3,8},{4,6},{7}}=>[3,2,2,1]=>1 {{1,2,4},{3,6},{5},{7,8}}=>[3,2,1,2]=>1 {{1,2,4,6},{3},{5,8},{7}}=>[4,1,2,1]=>1 {{1,2,4},{3,8},{5,7},{6}}=>[3,2,2,1]=>1 {{1,2,4},{3,8},{5},{6,7}}=>[3,2,1,2]=>1 {{1,4},{2,3,8},{5},{6,7}}=>[2,3,1,2]=>1 {{1,3,4},{2,8},{5},{6,7}}=>[3,2,1,2]=>1 {{1,3,4},{2,8},{5,7},{6}}=>[3,2,2,1]=>1 {{1,4},{2,3,8},{5,7},{6}}=>[2,3,2,1]=>1 {{1,4,6},{2,3},{5,8},{7}}=>[3,2,2,1]=>1 {{1,4},{2,3,6},{5},{7,8}}=>[2,3,1,2]=>1 {{1,4},{2,3,6,8},{5},{7}}=>[2,4,1,1]=>1 {{1,4},{2,3,6},{5,8},{7}}=>[2,3,2,1]=>1 {{1,8},{2,4,5},{3,7},{6}}=>[2,3,2,1]=>1 {{1,3,8},{2,6},{4,5},{7}}=>[3,2,2,1]=>1 {{1,3,4},{2,6},{5},{7,8}}=>[3,2,1,2]=>1 {{1,6},{2,5,8},{3,4},{7}}=>[2,3,2,1]=>1 {{1,6},{2,4,5},{3,8},{7}}=>[2,3,2,1]=>1 {{1,4,5},{2,8},{3,6},{7}}=>[3,2,2,1]=>1 {{1,3,8},{2,5,6},{4},{7}}=>[3,3,1,1]=>1 {{1,3,8},{2,5},{4},{6,7}}=>[3,2,1,2]=>1 {{1,5},{2,4},{3,7,8},{6}}=>[2,2,3,1]=>1 {{1,5,6},{2,4},{3,8},{7}}=>[3,2,2,1]=>1 {{1,4},{2,8},{3,5,6},{7}}=>[2,2,3,1]=>1 {{1,4},{2,7,8},{3,5},{6}}=>[2,3,2,1]=>1 {{1,4,7},{2,8},{3},{5,6}}=>[3,2,1,2]=>1 {{1,5,7},{2,8},{3,4},{6}}=>[3,2,2,1]=>1 {{1,5,7},{2,3,8},{4},{6}}=>[3,3,1,1]=>1 {{1,2,5},{3,7},{4},{6,8}}=>[3,2,1,2]=>1 {{1,5},{2,3,7},{4},{6,8}}=>[2,3,1,2]=>1 {{1,4,5},{2,7},{3},{6,8}}=>[3,2,1,2]=>1 {{1,4},{2,7},{3},{5,6,8}}=>[2,2,1,3]=>1 {{1,4},{2,6,7},{3},{5,8}}=>[2,3,1,2]=>1 {{1,4},{2,6},{3},{5,7,8}}=>[2,2,1,3]=>1 {{1,6},{2,5,7,8},{3},{4}}=>[2,4,1,1]=>1 {{1,6,7},{2,5,8},{3},{4}}=>[3,3,1,1]=>1 {{1,7},{2,5,6,8},{3},{4}}=>[2,4,1,1]=>1 {{1,7},{2,6,8},{3},{4,5}}=>[2,3,1,2]=>1 {{1,7},{2,3,6,8},{4},{5}}=>[2,4,1,1]=>1 {{1,2,8},{3,6},{4},{5,7}}=>[3,2,1,2]=>1 {{1,8},{2,6},{3},{4,5,7}}=>[2,2,1,3]=>1 {{1,8},{2,5,6},{3},{4,7}}=>[2,3,1,2]=>1 {{1,8},{2,5},{3},{4,6,7}}=>[2,2,1,3]=>1 {{1,7,8},{2,5},{3},{4,6}}=>[3,2,1,2]=>1 {{1,8},{2,4},{3,6,7},{5}}=>[2,2,3,1]=>1 {{1,7,8},{2,4},{3,6},{5}}=>[3,2,2,1]=>1 {{1,4},{2,3,7},{5,8},{6}}=>[2,3,2,1]=>1 {{1,3},{2,7},{4,5,8},{6}}=>[2,2,3,1]=>1 {{1,3},{2,6,7},{4,8},{5}}=>[2,3,2,1]=>1 {{1,3},{2,6},{4,7,8},{5}}=>[2,2,3,1]=>1 {{1,6},{2,4,7,8},{3},{5}}=>[2,4,1,1]=>1 {{1,7},{2,4,8},{3},{5,6}}=>[2,3,1,2]=>1 {{1,7},{2,4,5,8},{3},{6}}=>[2,4,1,1]=>1 {{1,7},{2,5,8},{3,4},{6}}=>[2,3,2,1]=>1 {{1,7},{2,3,5,8},{4},{6}}=>[2,4,1,1]=>1 {{1,2,7},{3},{4,6},{5,8}}=>[3,1,2,2]=>1 {{1,7},{2},{3,4,6},{5,8}}=>[2,1,3,2]=>1 {{1,7},{2},{3,6},{4,5,8}}=>[2,1,2,3]=>1 {{1,7},{2},{3,5,6},{4,8}}=>[2,1,3,2]=>1 {{1,6,7},{2},{3,5},{4,8}}=>[3,1,2,2]=>1 {{1,6},{2},{3,5},{4,7,8}}=>[2,1,2,3]=>1 {{1,5},{2},{3,7,8},{4,6}}=>[2,1,3,2]=>1 {{1,5},{2},{3,8},{4,6,7}}=>[2,1,2,3]=>1 {{1,5,6},{2},{3,8},{4,7}}=>[3,1,2,2]=>1 {{1,6},{2},{3,8},{4,5,7}}=>[2,1,2,3]=>1 {{1,6},{2},{3,4,8},{5,7}}=>[2,1,3,2]=>1 {{1,2,6},{3},{4,8},{5,7}}=>[3,1,2,2]=>1 {{1,2,6,8},{3},{4,7},{5}}=>[4,1,2,1]=>1 {{1,6,8},{2,3},{4,7},{5}}=>[3,2,2,1]=>1 {{1,6,8},{2},{3,7},{4,5}}=>[3,1,2,2]=>1 {{1,5,6,8},{2},{3,7},{4}}=>[4,1,2,1]=>1 {{1,5,8},{2},{3,6,7},{4}}=>[3,1,3,1]=>1 {{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>[1,1,1,1,1,1,1,1,1]=>1 {{1},{2},{3},{4},{5},{6},{7},{8,9}}=>[1,1,1,1,1,1,1,2]=>1 {{1},{2},{3},{4},{5},{6},{7,9},{8}}=>[1,1,1,1,1,1,2,1]=>1 {{1},{2},{3},{4},{5},{6,9},{7},{8}}=>[1,1,1,1,1,2,1,1]=>1 {{1},{2},{3},{4},{5,9},{6},{7},{8}}=>[1,1,1,1,2,1,1,1]=>1 {{1},{2},{3},{4,9},{5},{6},{7},{8}}=>[1,1,1,2,1,1,1,1]=>1 {{1},{2},{3,9},{4},{5},{6},{7},{8}}=>[1,1,2,1,1,1,1,1]=>1 {{1},{2,9},{3},{4},{5},{6},{7},{8}}=>[1,2,1,1,1,1,1,1]=>1 {{1,9},{2},{3},{4},{5},{6},{7},{8}}=>[2,1,1,1,1,1,1,1]=>1 {{1},{2},{3},{4},{5},{6},{7,8,9}}=>[1,1,1,1,1,1,3]=>1 {{1},{2},{3},{4},{5},{6,9},{7,8}}=>[1,1,1,1,1,2,2]=>1 {{1},{2},{3},{4},{5,9},{6,7},{8}}=>[1,1,1,1,2,2,1]=>1 {{1},{2},{3},{4,9},{5,6},{7},{8}}=>[1,1,1,2,2,1,1]=>1 {{1},{2},{3,9},{4,5},{6},{7},{8}}=>[1,1,2,2,1,1,1]=>1 {{1},{2,9},{3,4},{5},{6},{7},{8}}=>[1,2,2,1,1,1,1]=>1 {{1,9},{2,3},{4},{5},{6},{7},{8}}=>[2,2,1,1,1,1,1]=>1 {{1,2,3,4,5,6,7,8},{9}}=>[8,1]=>1 {{1},{2,3,4,5,6,7,8,9}}=>[1,8]=>1 {{1,2,3,4,5,6,8},{7},{9}}=>[7,1,1]=>1 {{1},{2,3,4,5,6,7,9},{8}}=>[1,7,1]=>1 {{1,2,3,4,5,8},{6,7},{9}}=>[6,2,1]=>1 {{1,2,3,4,5,7,8},{6},{9}}=>[7,1,1]=>1 {{1},{2,3,4,5,6,9},{7,8}}=>[1,6,2]=>1 {{1},{2,3,4,5,6,8,9},{7}}=>[1,7,1]=>1 {{1,3,6,8},{2},{4},{5,7}}=>[4,1,1,2]=>1 {{1,4,6,8},{2},{3,5},{7}}=>[4,1,2,1]=>1 {{1,5,7},{2,3},{4,8},{6}}=>[3,2,2,1]=>1 {{1,4,8},{2},{3,6},{5,7}}=>[3,1,2,2]=>1 {{1,3,8},{2},{4,6},{5,7}}=>[3,1,2,2]=>1 {{1,4,7,8},{2},{3,6},{5}}=>[4,1,2,1]=>1 {{1,4,6,7},{2},{3,5},{8}}=>[4,1,2,1]=>1 {{1,4,8},{2},{3,7},{5,6}}=>[3,1,2,2]=>1 {{1,5,8},{2},{3,7},{4,6}}=>[3,1,2,2]=>1 {{1,5,8},{2},{3,6},{4,7}}=>[3,1,2,2]=>1 {{1,4,7},{2,3},{5,8},{6}}=>[3,2,2,1]=>1 {{1,3},{2,5,8},{4,7},{6}}=>[2,3,2,1]=>1 {{1,5},{2,4,7,8},{3},{6}}=>[2,4,1,1]=>1 {{1,3},{2,4,6,7},{5},{8}}=>[2,4,1,1]=>1 {{1,3},{2,4,8},{5,6},{7}}=>[2,3,2,1]=>1 {{1,3},{2,5,8},{4,6},{7}}=>[2,3,2,1]=>1 {{1,6},{2,3,4},{5,8},{7}}=>[2,3,2,1]=>1 {{1,6},{2,4},{3,5,8},{7}}=>[2,2,3,1]=>1 {{1,4},{2,6},{3,5,8},{7}}=>[2,2,3,1]=>1 {{1,4},{2,5,6},{3,7},{8}}=>[2,3,2,1]=>1 {{1,4},{2,6,7},{3,8},{5}}=>[2,3,2,1]=>1 {{1,2,5},{3,6},{4},{7,8}}=>[3,2,1,2]=>1 {{1,2,4},{3,7},{5,6},{8}}=>[3,2,2,1]=>1 {{1,3,4},{2,7},{5,6},{8}}=>[3,2,2,1]=>1 {{1,6,7},{2,8},{3},{4,5}}=>[3,2,1,2]=>1 {{1,5,6},{2,3},{4,7},{8}}=>[3,2,2,1]=>1 {{1,4,6},{2,3},{5,7},{8}}=>[3,2,2,1]=>1 {{1,4},{2,3,6},{5,7},{8}}=>[2,3,2,1]=>1 {{1,4},{2,3,7},{5},{6,8}}=>[2,3,1,2]=>1 {{1,2,4},{3,7},{5},{6,8}}=>[3,2,1,2]=>1 {{1,3,4},{2,7},{5},{6,8}}=>[3,2,1,2]=>1 {{1,2,7},{3},{4,5},{6,8}}=>[3,1,2,2]=>1 {{1,2,6},{3},{4},{5,7,8}}=>[3,1,1,3]=>1 {{1,7},{2,3,4},{5},{6,8}}=>[2,3,1,2]=>1 {{1,7},{2,4},{3,6,8},{5}}=>[2,2,3,1]=>1 {{1,4},{2,7},{3,6,8},{5}}=>[2,2,3,1]=>1 {{1,4},{2,6},{3,5,7},{8}}=>[2,2,3,1]=>1 {{1,6},{2,4},{3,5,7},{8}}=>[2,2,3,1]=>1 {{1,6},{2,3,4},{5,7},{8}}=>[2,3,2,1]=>1 {{1,3},{2,5,7},{4,6},{8}}=>[2,3,2,1]=>1 {{1,3},{2,4,7},{5,6},{8}}=>[2,3,2,1]=>1 {{1,5},{2,7,8},{3},{4,6}}=>[2,3,1,2]=>1 {{1,7},{2,4},{3,5,6},{8}}=>[2,2,3,1]=>1 {{1,6},{2,5},{3,7,8},{4}}=>[2,2,3,1]=>1 {{1,5},{2,6},{3,7,8},{4}}=>[2,2,3,1]=>1 {{1,4},{2,8},{3,6,7},{5}}=>[2,2,3,1]=>1 {{1,4},{2,7},{3,5,6},{8}}=>[2,2,3,1]=>1 {{1,3},{2,4,5,6},{7,8}}=>[2,4,2]=>2 {{1,4},{2,3,5,6},{7,8}}=>[2,4,2]=>2 {{1,4},{2,3,5,7},{6,8}}=>[2,4,2]=>2 {{1,3},{2,4,5,7},{6,8}}=>[2,4,2]=>2 {{1,2},{3,4,5,7},{6,8}}=>[2,4,2]=>2 {{1,3},{2,4,5,6,7,8}}=>[2,6]=>2 {{1,4},{2,3,5,6,7,8}}=>[2,6]=>2 {{1,5},{2,3,4,6,7,8}}=>[2,6]=>2 {{1,2},{3,4,6,7},{5,8}}=>[2,4,2]=>2 {{1,3},{2,4,6,7},{5,8}}=>[2,4,2]=>2 {{1,4},{2,3,6,7},{5,8}}=>[2,4,2]=>2 {{1,5},{2,3,6,7},{4,8}}=>[2,4,2]=>2 {{1,3},{2,4},{5,6,7,8}}=>[2,2,4]=>2 {{1,4},{2,5},{3,6,7,8}}=>[2,2,4]=>2 {{1,3},{2,5},{4,6,7,8}}=>[2,2,4]=>2 {{1,2},{3,5},{4,6,7,8}}=>[2,2,4]=>2 {{1,2},{3,6},{4,5,7,8}}=>[2,2,4]=>2 {{1,3},{2,6},{4,5,7,8}}=>[2,2,4]=>2 {{1,4},{2,6},{3,5,7,8}}=>[2,2,4]=>2 {{1,5},{2,6},{3,4,7,8}}=>[2,2,4]=>2 {{1,2},{3,5,6,8},{4,7}}=>[2,4,2]=>2 {{1,3},{2,5,6,8},{4,7}}=>[2,4,2]=>2 {{1,4},{2,5,6,8},{3,7}}=>[2,4,2]=>2 {{1,5},{2,4,6,8},{3,7}}=>[2,4,2]=>2 {{1,4,5,8},{2,3,6,7}}=>[4,4]=>4 {{1,4},{2},{3,5,6},{7,8}}=>[2,1,3,2]=>1 {{1,4,5},{2},{3,6},{7,8}}=>[3,1,2,2]=>1 {{1,5},{2},{3,4,6},{7,8}}=>[2,1,3,2]=>1 {{1,6},{2},{3,4,7,8},{5}}=>[2,1,4,1]=>1 {{1,5},{2},{3,4,7,8},{6}}=>[2,1,4,1]=>1 {{1,4,5},{2},{3,7,8},{6}}=>[3,1,3,1]=>1 {{1,4,5},{2},{3,8},{6,7}}=>[3,1,2,2]=>1 {{1,6,7},{2},{3,4,8},{5}}=>[3,1,3,1]=>1 {{1,7},{2},{3,4,8},{5,6}}=>[2,1,3,2]=>1 {{1,4,6,7},{2},{3,8},{5}}=>[4,1,2,1]=>1 {{1,4,6},{2},{3,7,8},{5}}=>[3,1,3,1]=>1 {{1,3,6},{2},{4},{5,7,8}}=>[3,1,1,3]=>1 {{1,2},{3,6},{4},{5,7,8}}=>[2,2,1,3]=>1 {{1,4},{2},{3,5,7,8},{6}}=>[2,1,4,1]=>1 {{1,6},{2,4},{3},{5,7,8}}=>[2,2,1,3]=>1 {{1,6,7},{2,3},{4},{5,8}}=>[3,2,1,2]=>1 {{1,7},{2,4},{3},{5,6,8}}=>[2,2,1,3]=>1 {{1,6,7},{2,4},{3},{5,8}}=>[3,2,1,2]=>1 {{1,2},{3,6,7},{4},{5,8}}=>[2,3,1,2]=>1 {{1,3,6,7},{2},{4},{5,8}}=>[4,1,1,2]=>1 {{1,3,7},{2},{4},{5,6,8}}=>[3,1,1,3]=>1 {{1,2},{3,7},{4},{5,6,8}}=>[2,2,1,3]=>1 {{1,4,7},{2},{3,8},{5,6}}=>[3,1,2,2]=>1 {{1,7},{2,4,5},{3},{6,8}}=>[2,3,1,2]=>1 {{1,8},{2,4,5},{3,6},{7}}=>[2,3,2,1]=>1 {{1,8},{2,4},{3,5,6},{7}}=>[2,2,3,1]=>1 {{1,5,8},{2,3},{4,6},{7}}=>[3,2,2,1]=>1 {{1,8},{2,5},{3,4,6},{7}}=>[2,2,3,1]=>1 {{1,4,8},{2},{3,5,6},{7}}=>[3,1,3,1]=>1 {{1,4},{2},{3,6,8},{5,7}}=>[2,1,3,2]=>1 {{1,5,7},{2,3},{4},{6,8}}=>[3,2,1,2]=>1 {{1,4,6},{2},{3},{5,7,8}}=>[3,1,1,3]=>1 {{1},{2,5,6},{3,7},{4,8}}=>[1,3,2,2]=>1 {{1},{2,5,6},{3},{4,7,8}}=>[1,3,1,3]=>1 {{1},{2,5},{3,7},{4,6,8}}=>[1,2,2,3]=>1 {{1},{2},{3,6,7},{4,5,8}}=>[1,1,3,3]=>1 {{1},{2,3,6,7},{4},{5,8}}=>[1,4,1,2]=>1 {{1},{2,3,6},{4,8},{5,7}}=>[1,3,2,2]=>1 {{1},{2},{3,4,6,8},{5,7}}=>[1,1,4,2]=>1 {{1},{2},{3,6},{4,5,7,8}}=>[1,1,2,4]=>1 {{1},{2,5},{3},{4,6,7,8}}=>[1,2,1,4]=>1 {{1},{2,5},{3,6},{4,7,8}}=>[1,2,2,3]=>1 {{1},{2,5},{3,6,7},{4,8}}=>[1,2,3,2]=>1 {{1},{2},{3,5,6,7},{4,8}}=>[1,1,4,2]=>1 {{1},{2},{3,5,6},{4,7,8}}=>[1,1,3,3]=>1 {{1},{2},{3,5},{4,6,7,8}}=>[1,1,2,4]=>1 {{1},{2,4,8},{3,5},{6,7}}=>[1,3,2,2]=>1 {{1},{2,4},{3,6,8},{5,7}}=>[1,2,3,2]=>1 {{1},{2,4,7},{3,6},{5,8}}=>[1,3,2,2]=>1 {{1,3},{2,8},{4,5,7},{6}}=>[2,2,3,1]=>1 {{1,3},{2,4,7,8},{5},{6}}=>[2,4,1,1]=>1 {{1,7},{2,3,4,8},{5},{6}}=>[2,4,1,1]=>1 {{1},{2,4,7},{3},{5,6,8}}=>[1,3,1,3]=>1 {{1,7},{2},{3,4,5},{6,8}}=>[2,1,3,2]=>1 {{1},{2,3,7},{4,8},{5,6}}=>[1,3,2,2]=>1 {{1},{2},{3,7},{4,5,6,8}}=>[1,1,2,4]=>1 {{1},{2},{3,5,7},{4,6,8}}=>[1,1,3,3]=>1 {{1},{2,6},{3,5},{4,7,8}}=>[1,2,2,3]=>1 {{1},{2,6},{3,5,7},{4,8}}=>[1,2,3,2]=>1 {{1,5},{2},{3,6,7},{4,8}}=>[2,1,3,2]=>1 {{1,5},{2},{3,6},{4,7,8}}=>[2,1,2,3]=>1 {{1,5},{2},{3},{4,6,7,8}}=>[2,1,1,4]=>1 {{1},{2,6},{3},{4,5,7,8}}=>[1,2,1,4]=>1 {{1,6},{2},{3,4},{5,7,8}}=>[2,1,2,3]=>1 {{1,2,6},{3},{4,7,8},{5}}=>[3,1,3,1]=>1 {{1,6},{2},{3,4,7},{5,8}}=>[2,1,3,2]=>1 {{1},{2,6},{3,7},{4,5,8}}=>[1,2,2,3]=>1 {{1,5},{2},{3,7},{4,6,8}}=>[2,1,2,3]=>1 {{1,5},{2,6},{3},{4,7,8}}=>[2,2,1,3]=>1 {{1,3,6},{2,5},{4},{7,8}}=>[3,2,1,2]=>1 {{1,5},{2,4,6},{3},{7,8}}=>[2,3,1,2]=>1 {{1,4,5},{2,6},{3},{7,8}}=>[3,2,1,2]=>1 {{1,5,8},{2,7},{3,4},{6}}=>[3,2,2,1]=>1 {{1,4,5},{2,8},{3},{6,7}}=>[3,2,1,2]=>1 {{1,6,7},{2,8},{3,5},{4}}=>[3,2,2,1]=>1 {{1,6},{2,8},{3},{4,5,7}}=>[2,2,1,3]=>1 {{1,6},{2,5,8},{3},{4,7}}=>[2,3,1,2]=>1 {{1,6},{2,4,5,8},{3},{7}}=>[2,4,1,1]=>1 {{1,5},{2,7},{3},{4,6,8}}=>[2,2,1,3]=>1 {{1,7},{2,5},{3,6,8},{4}}=>[2,2,3,1]=>1 {{1,8},{2,6},{3,5,7},{4}}=>[2,2,3,1]=>1 {{1,5,8},{2,3},{4,7},{6}}=>[3,2,2,1]=>1 {{1,7},{2,3},{4,6,8},{5}}=>[2,2,3,1]=>1 {{1,6,7},{2,3},{4,8},{5}}=>[3,2,2,1]=>1 {{1,8},{2,5,6},{3,7},{4}}=>[2,3,2,1]=>1 {{1,3,8},{2,6},{4},{5,7}}=>[3,2,1,2]=>1 {{1,6,7},{2,5},{3,8},{4}}=>[3,2,2,1]=>1 {{1,5},{2,6,7},{3},{4,8}}=>[2,3,1,2]=>1 {{1,3,8},{2,7},{4,5},{6}}=>[3,2,2,1]=>1 {{1,5,6},{2,4,8},{3},{7}}=>[3,3,1,1]=>1 {{1,5,6},{2,8},{3},{4,7}}=>[3,2,1,2]=>1 {{1,5,7},{2},{3,6,8},{4}}=>[3,1,3,1]=>1 {{1,5},{2},{3,6,8},{4,7}}=>[2,1,3,2]=>1 {{1,6,8},{2,5},{3},{4,7}}=>[3,2,1,2]=>1 {{1,5},{2,6,8},{3},{4,7}}=>[2,3,1,2]=>1 {{1,5,7},{2,6},{3},{4,8}}=>[3,2,1,2]=>1 {{1,6},{2,5,7},{3},{4,8}}=>[2,3,1,2]=>1 {{1,5,7},{2},{3,6},{4,8}}=>[3,1,2,2]=>1 {{1,5,7},{2},{3,8},{4,6}}=>[3,1,2,2]=>1 {{1,5,6},{2},{3,7},{4,8}}=>[3,1,2,2]=>1 {{1,5,8},{2,6},{3},{4,7}}=>[3,2,1,2]=>1 {{1,7},{2,5,8},{3,6},{4}}=>[2,3,2,1]=>1 {{1,7},{2,5,8},{3},{4,6}}=>[2,3,1,2]=>1 {{1,7},{2,5,6},{3},{4,8}}=>[2,3,1,2]=>1 {{1,6,7},{2,5},{3},{4,8}}=>[3,2,1,2]=>1 {{1,6},{2,5},{3},{4,7,8}}=>[2,2,1,3]=>1 {{1,5,6},{2,7},{3},{4,8}}=>[3,2,1,2]=>1 {{1,5,8},{2,7},{3},{4,6}}=>[3,2,1,2]=>1 {{1,6},{2,5,8},{3,7},{4}}=>[2,3,2,1]=>1 {{1,5,6},{2,8},{3,7},{4}}=>[3,2,2,1]=>1 {{1,5},{2,8},{3,6,7},{4}}=>[2,2,3,1]=>1 {{1,5},{2,7,8},{3,6},{4}}=>[2,3,2,1]=>1 {{1,8},{2,5},{3,6,7},{4}}=>[2,2,3,1]=>1 {{1,8},{2,5,7},{3},{4,6}}=>[2,3,1,2]=>1 {{1,5,7},{2,8},{3,6},{4}}=>[3,2,2,1]=>1 {{1,5},{2,7},{3,6,8},{4}}=>[2,2,3,1]=>1 {{1,7},{2,5},{3},{4,6,8}}=>[2,2,1,3]=>1 {{1,6,8},{2,5},{3,7},{4}}=>[3,2,2,1]=>1 {{1,5},{2,6,8},{3,7},{4}}=>[2,3,2,1]=>1 {{1,6},{2,5,7},{3,8},{4}}=>[2,3,2,1]=>1 {{1,5,7},{2,8},{3},{4,6}}=>[3,2,1,2]=>1 {{1,5},{2,8},{3},{4,6,7}}=>[2,2,1,3]=>1 {{1,6},{2,7,8},{3,5},{4}}=>[2,3,2,1]=>1 {{1,7},{2,8},{3,5,6},{4}}=>[2,2,3,1]=>1 {{1,7},{2,5,6},{3,8},{4}}=>[2,3,2,1]=>1 {{1,5},{2,6,7},{3,8},{4}}=>[2,3,2,1]=>1 {{1,3,8},{2,4,6},{5},{7}}=>[3,3,1,1]=>1 {{1,8},{2,3,5},{4,6},{7}}=>[2,3,2,1]=>1 {{1,8},{2,4,6},{3,5},{7}}=>[2,3,2,1]=>1 {{1,7},{2,8},{3,4,5},{6}}=>[2,2,3,1]=>1 {{1,2,7},{3,8},{4,5},{6}}=>[3,2,2,1]=>1 {{1,3,5},{2},{4,6},{7,8}}=>[3,1,2,2]=>1 {{1,3,6},{2},{4,7,8},{5}}=>[3,1,3,1]=>1 {{1,6},{2},{3,7,8},{4,5}}=>[2,1,3,2]=>1 {{1,6,7},{2},{3,8},{4,5}}=>[3,1,2,2]=>1 {{1,3,6,7},{2},{4,8},{5}}=>[4,1,2,1]=>1 {{1,4,8},{2},{3,6,7},{5}}=>[3,1,3,1]=>1 {{1,5,6},{2},{3,4,8},{7}}=>[3,1,3,1]=>1 {{1,6},{2},{3,5,7,8},{4}}=>[2,1,4,1]=>1 {{1,6,7},{2},{3,5,8},{4}}=>[3,1,3,1]=>1 {{1,4},{2,6,8},{3},{5,7}}=>[2,3,1,2]=>1 {{1,8},{2,4,6},{3},{5,7}}=>[2,3,1,2]=>1 {{1,7},{2},{3,6,8},{4,5}}=>[2,1,3,2]=>1 {{1,6,8},{2},{3,5,7},{4}}=>[3,1,3,1]=>1 {{1,4},{2},{3,5,7},{6,8}}=>[2,1,3,2]=>1 {{1,2},{3,5,7},{4},{6,8}}=>[2,3,1,2]=>1 {{1,5,8},{2},{3,4,7},{6}}=>[3,1,3,1]=>1 {{1,2},{3,4,7},{5},{6,8}}=>[2,3,1,2]=>1 {{1,2,5},{3},{4,7},{6,8}}=>[3,1,2,2]=>1 {{1,2,5,8},{3},{4,7},{6}}=>[4,1,2,1]=>1 {{1,2},{3,4,7},{5,8},{6}}=>[2,3,2,1]=>1 {{1,2},{3,5},{4,6,8},{7}}=>[2,2,3,1]=>1 {{1,2,6},{3},{4,7},{5,8}}=>[3,1,2,2]=>1 {{1,3,7},{2,6},{4},{5,8}}=>[3,2,1,2]=>1 {{1,2,6},{3,7},{4},{5,8}}=>[3,2,1,2]=>1 {{1,2,5},{3},{4,6,8},{7}}=>[3,1,3,1]=>1 {{1,2,5},{3},{4,6},{7,8}}=>[3,1,2,2]=>1 {{1,3},{2,5,6},{4,8},{7}}=>[2,3,2,1]=>1 {{1,3},{2,8},{4,5,6},{7}}=>[2,2,3,1]=>1 {{1,3,5},{2,8},{4,6},{7}}=>[3,2,2,1]=>1 {{1,2,6},{3,8},{4,5},{7}}=>[3,2,2,1]=>1 {{1,2,4,7},{3},{5,8},{6}}=>[4,1,2,1]=>1 {{1,3,7},{2,5},{4},{6,8}}=>[3,2,1,2]=>1 {{1,2,7},{3,4},{5},{6,8}}=>[3,2,1,2]=>1 {{1,2,4,7},{3},{5},{6,8}}=>[4,1,1,2]=>1 {{1,2,4},{3},{5,7},{6,8}}=>[3,1,2,2]=>1 {{1,3},{2,4},{5,6,8},{7}}=>[2,2,3,1]=>1 {{1,3},{2,4,7},{5},{6,8}}=>[2,3,1,2]=>1 {{1,4},{2,5,8},{3,7},{6}}=>[2,3,2,1]=>1 {{1,7},{2,3,4},{5,8},{6}}=>[2,3,2,1]=>1 {{1,3},{2,4,7},{5,8},{6}}=>[2,3,2,1]=>1 {{1,3},{2,4,6},{5},{7,8}}=>[2,3,1,2]=>1 {{1,3,4},{2,8},{5,6},{7}}=>[3,2,2,1]=>1 {{1,6},{2,3,4,8},{5},{7}}=>[2,4,1,1]=>1 {{1,4},{2,5,6},{3,8},{7}}=>[2,3,2,1]=>1 {{1,4,6},{2,8},{3,5},{7}}=>[3,2,2,1]=>1 {{1,6},{2,8},{3,4,5},{7}}=>[2,2,3,1]=>1 {{1,2,5,7},{3},{4},{6,8}}=>[4,1,1,2]=>1 {{1,2,5,8},{3},{4,6},{7}}=>[4,1,2,1]=>1 {{1,3,6},{2,8},{4,5},{7}}=>[3,2,2,1]=>1 {{1,4,6},{2},{3,5},{7,8}}=>[3,1,2,2]=>1 {{1,2},{3,5,8},{4,6},{7}}=>[2,3,2,1]=>1 {{1,3},{2,5,7},{4},{6,8}}=>[2,3,1,2]=>1 {{1,2,7},{3,5},{4},{6,8}}=>[3,2,1,2]=>1 {{1,3,7},{2,4},{5},{6,8}}=>[3,2,1,2]=>1 {{1},{2,3,4,7},{5},{6,8}}=>[1,4,1,2]=>1 {{1,4},{2,5,7},{3},{6,8}}=>[2,3,1,2]=>1 {{1,3},{2,4,6},{5,8},{7}}=>[2,3,2,1]=>1 {{1},{2,3,4},{5,7},{6,8}}=>[1,3,2,2]=>1 {{1},{2,4,5},{3,7},{6,8}}=>[1,3,2,2]=>1 {{1},{2,3,5},{4,7},{6,8}}=>[1,3,2,2]=>1 {{1},{2,3,5},{4,6},{7,8}}=>[1,3,2,2]=>1 {{1,4},{2,5,8},{3,6},{7}}=>[2,3,2,1]=>1 {{1},{2,4,5},{3,6},{7,8}}=>[1,3,2,2]=>1 {{1,4,6,7},{2,3,5,8}}=>[4,4]=>4 {{1,6},{2,4},{3,7,8},{5}}=>[2,2,3,1]=>1 {{1,6},{2,4},{3,7},{5},{8}}=>[2,2,2,1,1]=>1 {{1,5,6},{2,3,4,7},{8}}=>[3,4,1]=>1 {{1,5,6},{2,3,4,7,8}}=>[3,5]=>3 {{1,5,6,7},{2,3,4,8}}=>[4,4]=>4 {{1,7},{2,8},{3,4},{5},{6}}=>[2,2,2,1,1]=>1 {{1,6,7},{2,3,4,8},{5}}=>[3,4,1]=>1 {{1,5,6,7},{2,4,8},{3}}=>[4,3,1]=>1 {{1,5,7},{2,4,6,8},{3}}=>[3,4,1]=>1 {{1,5},{2,3},{4,6,7},{8}}=>[2,2,3,1]=>1 {{1,5},{2,3},{4,6,7,8}}=>[2,2,4]=>2 {{1,5},{2,3},{4,6,8},{7}}=>[2,2,3,1]=>1 {{1,5,6},{2,3,4,8},{7}}=>[3,4,1]=>1 {{1,6},{2,4},{3,8},{5},{7}}=>[2,2,2,1,1]=>1 {{1,5},{2,3},{4,6},{7},{8}}=>[2,2,2,1,1]=>1 {{1,5},{2,3},{4,7,8},{6}}=>[2,2,3,1]=>1 {{1,5},{2,3},{4,8},{6},{7}}=>[2,2,2,1,1]=>1 {{1,5},{2,3},{4,7},{6},{8}}=>[2,2,2,1,1]=>1 {{1,6},{2,4},{3,5,7,8}}=>[2,2,4]=>2 {{1,6},{2,5},{3,4,7,8}}=>[2,2,4]=>2 {{1,5,6,8},{2,3,4,7}}=>[4,4]=>4 {{1,3,7},{2},{4,8},{5,6}}=>[3,1,2,2]=>1 {{1,3,6},{2},{4,7},{5},{8}}=>[3,1,2,1,1]=>1 {{1,3},{2},{4,7},{5,8},{6}}=>[2,1,2,2,1]=>1 {{1},{2,4,7},{3},{5,8},{6}}=>[1,3,1,2,1]=>1 {{1},{2,7},{3,4,5,8},{6}}=>[1,2,4,1]=>1 {{1,6},{2,3,4,7},{5},{8}}=>[2,4,1,1]=>1 {{1,4,8},{2,6,7},{3},{5}}=>[3,3,1,1]=>1 {{1,4,6},{2,8},{3},{5,7}}=>[3,2,1,2]=>1 {{1,7},{2,4},{3,5,8},{6}}=>[2,2,3,1]=>1 {{1,5,8},{2,3,7},{4},{6}}=>[3,3,1,1]=>1 {{1},{2,5,8},{3,7},{4},{6}}=>[1,3,2,1,1]=>1 {{1},{2,7},{3,5,8},{4,6}}=>[1,2,3,2]=>1 {{1,6},{2,4,7},{3,5},{8}}=>[2,3,2,1]=>1 {{1,7},{2,5},{3,4,6},{8}}=>[2,2,3,1]=>1 {{1},{2,8},{3,6},{4,5,7}}=>[1,2,2,3]=>1 {{1,6},{2,3,7},{4,5},{8}}=>[2,3,2,1]=>1 {{1},{2,7},{3,4,8},{5,6}}=>[1,2,3,2]=>1 {{1,5},{2,6,8},{3,4},{7}}=>[2,3,2,1]=>1 {{1,4},{2,5,7},{3},{6},{8}}=>[2,3,1,1,1]=>1 {{1,4},{2,5},{3},{6,8},{7}}=>[2,2,1,2,1]=>1 {{1,5},{2,3,6,8},{4},{7}}=>[2,4,1,1]=>1 {{1},{2,5},{3,6,8},{4},{7}}=>[1,2,3,1,1]=>1 {{1},{2,5,6,7},{3,8},{4}}=>[1,4,2,1]=>1 {{1},{2,8},{3,5},{4,6,7}}=>[1,2,2,3]=>1 {{1},{2,6,7},{3,4,8},{5}}=>[1,3,3,1]=>1 {{1,5,6},{2,3,7},{4},{8}}=>[3,3,1,1]=>1 {{1},{2,6},{3,7},{4,8},{5}}=>[1,2,2,2,1]=>1 {{1},{2,6},{3,7},{4},{5},{8}}=>[1,2,2,1,1,1]=>1 {{1},{2,5,6},{3,4,7},{8}}=>[1,3,3,1]=>1 {{1,6,7},{2,3,8},{4},{5}}=>[3,3,1,1]=>1 {{1},{2,4,6},{3,5,7},{8}}=>[1,3,3,1]=>1 {{1},{2,3,5},{4,6,7},{8}}=>[1,3,3,1]=>1 {{1,4,6},{2},{3,5,8},{7}}=>[3,1,3,1]=>1 {{1,6},{2},{3,8},{4},{5},{7}}=>[2,1,2,1,1,1]=>1 {{1},{2},{3,5},{4,6},{7},{8}}=>[1,1,2,2,1,1]=>1 {{1,5},{2},{3},{4,8},{6},{7}}=>[2,1,1,2,1,1]=>1 {{1},{2,5},{3},{4,7},{6},{8}}=>[1,2,1,2,1,1]=>1 {{1,7},{2},{3,4},{5,6,8}}=>[2,1,2,3]=>1 {{1,6,8},{2},{3,4},{5,7}}=>[3,1,2,2]=>1 {{1,2,7},{3},{4,5,8},{6}}=>[3,1,3,1]=>1 {{1,6,7},{2},{3,4},{5,8}}=>[3,1,2,2]=>1 {{1,8},{2},{3,4,6},{5,7}}=>[2,1,3,2]=>1 {{1},{2,4,8},{3,7},{5,6}}=>[1,3,2,2]=>1 {{1,3,8},{2,7},{4},{5,6}}=>[3,2,1,2]=>1 {{1,3},{2,7,8},{4},{5,6}}=>[2,3,1,2]=>1 {{1},{2,4},{3,7,8},{5,6}}=>[1,2,3,2]=>1 {{1,3},{2,6,8},{4},{5,7}}=>[2,3,1,2]=>1 {{1},{2,6,8},{3,4},{5,7}}=>[1,3,2,2]=>1 {{1,6,8},{2,3},{4},{5,7}}=>[3,2,1,2]=>1 {{1},{2,6,7},{3,4},{5,8}}=>[1,3,2,2]=>1 {{1,3},{2,6,8},{4,7},{5}}=>[2,3,2,1]=>1 {{1,3,6,8},{2},{4,7},{5}}=>[4,1,2,1]=>1 {{1,4,7},{2,6},{3},{5,8}}=>[3,2,1,2]=>1 {{1,6,8},{2,4,7},{3},{5}}=>[3,3,1,1]=>1 {{1,4,5,7},{2},{3},{6,8}}=>[4,1,1,2]=>1 {{1,3,4},{2},{5,7},{6,8}}=>[3,1,2,2]=>1 {{1,3},{2,4},{5,7,8},{6}}=>[2,2,3,1]=>1 {{1,4},{2,5,6},{3},{7,8}}=>[2,3,1,2]=>1 {{1,5},{2,6,7,8},{3},{4}}=>[2,4,1,1]=>1 {{1,5},{2},{3,6,7,8},{4}}=>[2,1,4,1]=>1 {{1,4,5,8},{2},{3,7},{6}}=>[4,1,2,1]=>1 {{1,5},{2,4,6},{3,8},{7}}=>[2,3,2,1]=>1 {{1,4,5},{2},{3,7},{6,8}}=>[3,1,2,2]=>1 {{1},{2,4,7},{3,8},{5,6}}=>[1,3,2,2]=>1 {{1,6},{2,3,8},{4},{5,7}}=>[2,3,1,2]=>1 {{1},{2,6},{3,4,8},{5,7}}=>[1,2,3,2]=>1 {{1},{2,3},{4,5,7},{6,8}}=>[1,2,3,2]=>1 {{1},{2,3},{4,6,8},{5,7}}=>[1,2,3,2]=>1 {{1},{2,3,5,6},{4,7},{8}}=>[1,4,2,1]=>1 {{1},{2,3,5,7},{4,8},{6}}=>[1,4,2,1]=>1 {{1},{2,3,7},{4,6},{5,8}}=>[1,3,2,2]=>1 {{1},{2,3,6},{4,7},{5,8}}=>[1,3,2,2]=>1 {{1,3},{2,5,8},{4,6,7}}=>[2,3,3]=>2 {{1,5},{2},{3,4,6,7},{8}}=>[2,1,4,1]=>1 {{1,5},{2,6,7},{3,4},{8}}=>[2,3,2,1]=>1 {{1,3},{2,5,7,8},{4,6}}=>[2,4,2]=>2 {{1,4,5,7},{2},{3,6},{8}}=>[4,1,2,1]=>1 {{1,4},{2},{3,5,6,8},{7}}=>[2,1,4,1]=>1 {{1,4,8},{2},{3,5,7},{6}}=>[3,1,3,1]=>1 {{1,3,8},{2,5,7},{4},{6}}=>[3,3,1,1]=>1 {{1,3},{2,5,6,8},{4},{7}}=>[2,4,1,1]=>1 {{1,3,7},{2,6},{4,5},{8}}=>[3,2,2,1]=>1 {{1,5,8},{2,4,7},{3},{6}}=>[3,3,1,1]=>1 {{1,6,8},{2,4},{3},{5,7}}=>[3,2,1,2]=>1 {{1,4,8},{2,6},{3},{5,7}}=>[3,2,1,2]=>1 {{1,7},{2},{3,4,6,8},{5}}=>[2,1,4,1]=>1 {{1},{2,7},{3,4,5},{6,8}}=>[1,2,3,2]=>1 {{1},{2,6},{3,4,5,8},{7}}=>[1,2,4,1]=>1 {{1,6},{2},{3,4,5,7},{8}}=>[2,1,4,1]=>1 {{1,6},{2,7},{3,4,5},{8}}=>[2,2,3,1]=>1 {{1,7},{2,4},{3,5,6,8}}=>[2,2,4]=>2 {{1,4},{2,7},{3,5,6,8}}=>[2,2,4]=>2 {{1,4,8},{2,6},{3,5,7}}=>[3,2,3]=>2 {{1,6,8},{2,4},{3,5,7}}=>[3,2,3]=>2 {{1,3,8},{2,5,7},{4,6}}=>[3,3,2]=>2 {{1,5},{2,7},{3,4,6},{8}}=>[2,2,3,1]=>1 {{1},{2,4,8},{3,5,6},{7}}=>[1,3,3,1]=>1 {{1,6},{2,4,5},{3,7},{8}}=>[2,3,2,1]=>1 {{1},{2,5,7},{3,8},{4},{6}}=>[1,3,2,1,1]=>1 {{1},{2,7},{3,5,6},{4,8}}=>[1,2,3,2]=>1 {{1},{2,5,8},{3,6,7},{4}}=>[1,3,3,1]=>1 {{1,4,7},{2,5,6},{3},{8}}=>[3,3,1,1]=>1 {{1},{2,6,8},{3,4,7},{5}}=>[1,3,3,1]=>1 {{1,5,7},{2,3,6},{4},{8}}=>[3,3,1,1]=>1 {{1,3},{2,6},{4,5,8},{7}}=>[2,2,3,1]=>1 {{1,4,6},{2,3,8},{5},{7}}=>[3,3,1,1]=>1 {{1,4},{2,3,8},{5,6},{7}}=>[2,3,2,1]=>1 {{1,2,6},{3,8},{4},{5,7}}=>[3,2,1,2]=>1 {{1},{2,6},{3,8},{4},{5,7}}=>[1,2,2,1,2]=>1 {{1},{2,5,6,7},{3,4,8}}=>[1,4,3]=>1 {{1,7},{2,8},{3},{4},{5,6}}=>[2,2,1,1,2]=>1 {{1,5,6,7},{2,3,8},{4}}=>[4,3,1]=>1 {{1,5,7},{2,3,4,8},{6}}=>[3,4,1]=>1 {{1},{2,3,5},{4,8},{6,7}}=>[1,3,2,2]=>1 {{1,2,3,5},{4,8},{6,7}}=>[4,2,2]=>2 {{1,3,5},{2},{4,8},{6,7}}=>[3,1,2,2]=>1 {{1,5,6,7},{2},{3,4,8}}=>[4,1,3]=>1 {{1,6},{2},{3,8},{4},{5,7}}=>[2,1,2,1,2]=>1 {{1},{2},{3,5},{4,8},{6,7}}=>[1,1,2,2,2]=>1 {{1,2,5},{3},{4,8},{6,7}}=>[3,1,2,2]=>1 {{1,5},{2},{3},{4,8},{6,7}}=>[2,1,1,2,2]=>1 {{1},{2,5},{3},{4,8},{6,7}}=>[1,2,1,2,2]=>1 {{1,2,4,6},{3,8},{5,7}}=>[4,2,2]=>2 {{1,2,5,6},{3,8},{4,7}}=>[4,2,2]=>2 {{1,3,4,8},{2,5,6,7}}=>[4,4]=>4 {{1,5,8},{2,4},{3,7},{6}}=>[3,2,2,1]=>1 {{1,4},{2,7},{3,5,8},{6}}=>[2,2,3,1]=>1 {{1},{2,7},{3,8},{4,5,6}}=>[1,2,2,3]=>1 {{1,5},{2,4,6},{3,7},{8}}=>[2,3,2,1]=>1 {{1,6},{2,3,5},{4,7},{8}}=>[2,3,2,1]=>1 {{1,4,6},{2,7},{3},{5,8}}=>[3,2,1,2]=>1 {{1},{2,5},{3,8},{4,6,7}}=>[1,2,2,3]=>1 {{1},{2,3,7},{4,8},{5},{6}}=>[1,3,2,1,1]=>1 {{1,4,7},{2,3},{5},{6,8}}=>[3,2,1,2]=>1 {{1},{2,4},{3,7,8},{5},{6}}=>[1,2,3,1,1]=>1 {{1},{2,5,7},{3,4,8},{6}}=>[1,3,3,1]=>1 {{1,5,6},{2,4},{3,7},{8}}=>[3,2,2,1]=>1 {{1},{2,4},{3,5},{6,7},{8}}=>[1,2,2,2,1]=>1 {{1},{2,4,8},{3,5},{6},{7}}=>[1,3,2,1,1]=>1 {{1},{2,4,6},{3,5},{7,8}}=>[1,3,2,2]=>1 {{1},{2,5},{3,6},{4},{7,8}}=>[1,2,2,1,2]=>1 {{1},{2,5,7},{3,6,8},{4}}=>[1,3,3,1]=>1 {{1},{2,5,7},{3,8},{4,6}}=>[1,3,2,2]=>1 {{1,8},{2,4},{3,5,7},{6}}=>[2,2,3,1]=>1 {{1,6,7},{2,4},{3,5},{8}}=>[3,2,2,1]=>1 {{1},{2,5},{3,6},{4,7},{8}}=>[1,2,2,2,1]=>1 {{1},{2,5},{3,6,8},{4,7}}=>[1,2,3,2]=>1 {{1},{2,3,6,7},{4,8},{5}}=>[1,4,2,1]=>1 {{1,3,5,8},{2},{4,7},{6}}=>[4,1,2,1]=>1 {{1,5,6},{2},{3,7,8},{4}}=>[3,1,3,1]=>1 {{1,4,7},{2},{3,5,8},{6}}=>[3,1,3,1]=>1 {{1,4},{2,6,8},{3,7},{5}}=>[2,3,2,1]=>1 {{1,5},{2,3,7,8},{4},{6}}=>[2,4,1,1]=>1 {{1},{2,3,6,8},{4},{5,7}}=>[1,4,1,2]=>1 {{1,2},{3},{4,6},{5,7,8}}=>[2,1,2,3]=>1 {{1},{2,5,6,8},{3},{4,7}}=>[1,4,1,2]=>1 {{1},{2},{3,5,6,8},{4,7}}=>[1,1,4,2]=>1 {{1},{2,4,5,7},{3,8},{6}}=>[1,4,2,1]=>1 {{1},{2},{3,4,6,7},{5,8}}=>[1,1,4,2]=>1 {{1},{2,6},{3,7,8},{4,5}}=>[1,2,3,2]=>1 {{1},{2,6,7},{3,5},{4,8}}=>[1,3,2,2]=>1 {{1},{2},{3,6,8},{4,5,7}}=>[1,1,3,3]=>1 {{1},{2,3},{4,7},{5,6,8}}=>[1,2,2,3]=>1 {{1,7,8},{2,4},{3,5},{6}}=>[3,2,2,1]=>1 {{1,4,6,8},{2},{3},{5,7}}=>[4,1,1,2]=>1 {{1},{2,4,6},{3,7,8},{5}}=>[1,3,3,1]=>1 {{1,3},{2},{4,6},{5,7,8}}=>[2,1,2,3]=>1 {{1},{2,4,6,7},{3},{5,8}}=>[1,4,1,2]=>1 {{1},{2,5},{3,7,8},{4,6}}=>[1,2,3,2]=>1 {{1,4,7},{2},{3,6,8},{5}}=>[3,1,3,1]=>1 {{1,3},{2,4,5},{6,8},{7}}=>[2,3,2,1]=>1 {{1,3},{2,8},{4,6,7},{5}}=>[2,2,3,1]=>1 {{1,3},{2,4,5},{6,7},{8}}=>[2,3,2,1]=>1 {{1,4},{2,7,8},{3},{5,6}}=>[2,3,1,2]=>1 {{1,4},{2,3,7,8},{5},{6}}=>[2,4,1,1]=>1 {{1,3,8},{2,4},{5},{6,7}}=>[3,2,1,2]=>1 {{1,6,8},{2},{3},{4,5,7}}=>[3,1,1,3]=>1 {{1,5},{2,3,7},{4,6},{8}}=>[2,3,2,1]=>1 {{1,4},{2,3,6,7},{5},{8}}=>[2,4,1,1]=>1 {{1,4,6},{2,3,7},{5},{8}}=>[3,3,1,1]=>1 {{1,6},{2,4,5,7},{3},{8}}=>[2,4,1,1]=>1 {{1,7},{2,4,5},{3,6},{8}}=>[2,3,2,1]=>1 {{1,5,6,7},{2},{3},{4,8}}=>[4,1,1,2]=>1 {{1,5,7},{2,6},{3,4},{8}}=>[3,2,2,1]=>1 {{1},{2,6,7},{3,5,8},{4}}=>[1,3,3,1]=>1 {{1,3},{2},{4,6,7},{5,8}}=>[2,1,3,2]=>1 {{1,6},{2,5,8},{3,4,7}}=>[2,3,3]=>2 {{1,3,6,7},{2,4,5,8}}=>[4,4]=>4 {{1},{2,8},{3,5,6},{4,7}}=>[1,2,3,2]=>1 {{1},{2,5,6,7},{3},{4,8}}=>[1,4,1,2]=>1 {{1,6},{2,7,8},{3,4},{5}}=>[2,3,2,1]=>1 {{1,5},{2,7},{3,4,6,8}}=>[2,2,4]=>2 {{1,7},{2},{3,8},{4,5,6}}=>[2,1,2,3]=>1 {{1,7},{2,4,5},{3,6,8}}=>[2,3,3]=>2 {{1},{2,6,8},{3,7},{4,5}}=>[1,3,2,2]=>1 {{1},{2,4,5,8},{3,7},{6}}=>[1,4,2,1]=>1 {{1},{2,4,5},{3,7,8},{6}}=>[1,3,3,1]=>1 {{1},{2,6},{3,8},{4,5,7}}=>[1,2,2,3]=>1 {{1,4,5,6},{2},{3,8},{7}}=>[4,1,2,1]=>1 {{1,3,5,6},{2},{4,8},{7}}=>[4,1,2,1]=>1 {{1},{2,4,6,7},{3,8},{5}}=>[1,4,2,1]=>1 {{1,5},{2,7,8},{3,4},{6}}=>[2,3,2,1]=>1 {{1,3,5},{2},{4,7,8},{6}}=>[3,1,3,1]=>1 {{1,3},{2,5},{4,7,8},{6}}=>[2,2,3,1]=>1 {{1,7},{2,6},{3},{4,5,8}}=>[2,2,1,3]=>1 {{1,3},{2,7,8},{4,6},{5}}=>[2,3,2,1]=>1 {{1,4,5},{2,8},{3,7},{6}}=>[3,2,2,1]=>1 {{1,3,6},{2,4},{5},{7,8}}=>[3,2,1,2]=>1 {{1,3,6},{2},{4,5,8},{7}}=>[3,1,3,1]=>1 {{1,2},{3,5},{4,7,8},{6}}=>[2,2,3,1]=>1 {{1},{2,3,4,7},{5,8},{6}}=>[1,4,2,1]=>1 {{1,4,8},{2,5,7},{3},{6}}=>[3,3,1,1]=>1 {{1},{2,3,4,6},{5,8},{7}}=>[1,4,2,1]=>1 {{1},{2,4,5,8},{3,6},{7}}=>[1,4,2,1]=>1 {{1,6},{2},{3,4,5,8},{7}}=>[2,1,4,1]=>1 {{1},{2,4},{3,6},{5,8},{7}}=>[1,2,2,2,1]=>1 {{1,3},{2},{4,6},{5,8},{7}}=>[2,1,2,2,1]=>1 {{1,3},{2,5},{4},{6,8},{7}}=>[2,2,1,2,1]=>1 {{1},{2,4,5,6},{3,8},{7}}=>[1,4,2,1]=>1 {{1},{2,6},{3,5},{4,8},{7}}=>[1,2,2,2,1]=>1 {{1,5},{2,4},{3,7},{6},{8}}=>[2,2,2,1,1]=>1 {{1,5},{2,4,6,7},{3},{8}}=>[2,4,1,1]=>1 {{1},{2,6},{3,5,7,8},{4}}=>[1,2,4,1]=>1 {{1},{2,8},{3,5},{4,7},{6}}=>[1,2,2,2,1]=>1 {{1,7},{2,4},{3,6},{5},{8}}=>[2,2,2,1,1]=>1 {{1},{2,5,7,8},{3,6},{4}}=>[1,4,2,1]=>1 {{1,5,6},{2,4,7},{3},{8}}=>[3,3,1,1]=>1 {{1,3},{2,5,6,7},{4},{8}}=>[2,4,1,1]=>1 {{1,3},{2,6,7,8},{4},{5}}=>[2,4,1,1]=>1 {{1},{2,4},{3,6,7,8},{5}}=>[1,2,4,1]=>1 {{1},{2,4},{3,8},{5,7},{6}}=>[1,2,2,2,1]=>1 {{1,3},{2,7},{4,6},{5},{8}}=>[2,2,2,1,1]=>1 {{1},{2,4,7},{3,6,8},{5}}=>[1,3,3,1]=>1 {{1,4,7},{2,3,5},{6},{8}}=>[3,3,1,1]=>1 {{1,4,7},{2,3,6},{5},{8}}=>[3,3,1,1]=>1 {{1,5},{2,3,6,7},{4},{8}}=>[2,4,1,1]=>1 {{1,4},{2,3,7},{5,6},{8}}=>[2,3,2,1]=>1 {{1},{2,5,8},{3,4,6},{7}}=>[1,3,3,1]=>1 {{1},{2,5,7},{3,4,6},{8}}=>[1,3,3,1]=>1 {{1},{2,3,6},{4,5,7},{8}}=>[1,3,3,1]=>1 {{1,6},{2,3},{4,5,7},{8}}=>[2,2,3,1]=>1 {{1,3,6},{2},{4,5,7},{8}}=>[3,1,3,1]=>1 {{1,4},{2,3,5},{6,7},{8}}=>[2,3,2,1]=>1 {{1,6},{2,5,7},{3,4},{8}}=>[2,3,2,1]=>1 {{1,4},{2,3,5},{6,8},{7}}=>[2,3,2,1]=>1 {{1},{2,3,6},{4,5,8},{7}}=>[1,3,3,1]=>1 {{1},{2,5,8},{3,4,7},{6}}=>[1,3,3,1]=>1 {{1},{2,3,7},{4,6,8},{5}}=>[1,3,3,1]=>1 {{1},{2,3,7},{4,5,8},{6}}=>[1,3,3,1]=>1 {{1,4,8},{2},{3,5},{6,7}}=>[3,1,2,2]=>1 {{1,6,8},{2},{3,5},{4,7}}=>[3,1,2,2]=>1 {{1,4},{2,3,5,8},{6},{7}}=>[2,4,1,1]=>1 {{1,2,6,8},{3},{4},{5,7}}=>[4,1,1,2]=>1 {{1,2},{3,6,8},{4},{5,7}}=>[2,3,1,2]=>1 {{1,2},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1]=>1 {{1,3},{2},{4},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1]=>1 {{1,4},{2},{3},{5},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1]=>1 {{1,5},{2},{3},{4},{6},{7},{8},{9}}=>[2,1,1,1,1,1,1,1]=>1 {{1,6},{2},{3},{4},{5},{7},{8},{9}}=>[2,1,1,1,1,1,1,1]=>1 {{1,7},{2},{3},{4},{5},{6},{8},{9}}=>[2,1,1,1,1,1,1,1]=>1 {{1,8},{2},{3},{4},{5},{6},{7},{9}}=>[2,1,1,1,1,1,1,1]=>1 {{1,2,3},{4},{5},{6},{7},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,3,4},{2},{5},{6},{7},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,4,5},{2},{3},{6},{7},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,5,6},{2},{3},{4},{7},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,6,7},{2},{3},{4},{5},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,7,8},{2},{3},{4},{5},{6},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,8,9},{2},{3},{4},{5},{6},{7}}=>[3,1,1,1,1,1,1]=>1 {{1,8},{2},{3,6},{4,5,7}}=>[2,1,2,3]=>1 {{1,8},{2},{3,5,6},{4,7}}=>[2,1,3,2]=>1 {{1,5,8},{2},{3,4,6},{7}}=>[3,1,3,1]=>1 {{1,3},{2,4,8},{5},{6,7}}=>[2,3,1,2]=>1 {{1,5},{2,6},{3,4,7},{8}}=>[2,2,3,1]=>1 {{1,4,5},{2,3,6},{7},{8}}=>[3,3,1,1]=>1 {{1,5},{2,4},{3,6,7},{8}}=>[2,2,3,1]=>1 {{1,5},{2,3,6},{4,7},{8}}=>[2,3,2,1]=>1 {{1,5},{2,3,4,6},{7},{8}}=>[2,4,1,1]=>1 {{1,5,7},{2,3},{4,6},{8}}=>[3,2,2,1]=>1 {{1,4},{2,5,7},{3,6},{8}}=>[2,3,2,1]=>1 {{1,2,5},{3,7},{4,6},{8}}=>[3,2,2,1]=>1 {{1,2,4},{3,8},{5,6},{7}}=>[3,2,2,1]=>1 {{1,2,3,4,5,6,7,8,9}}=>[9]=>9 {{1,2,3,4,5,6,7},{8,9}}=>[7,2]=>2 {{1,2,3,4,5,6,7},{8},{9}}=>[7,1,1]=>1 {{1,2,3,4,5,6},{7,8,9}}=>[6,3]=>3 {{1,2,3,4,5,6},{7,8},{9}}=>[6,2,1]=>1 {{1,2,3,4,5,6},{7},{8},{9}}=>[6,1,1,1]=>1 {{1,2,3,4,5},{6,7,8,9}}=>[5,4]=>4 {{1,2,3,4,5},{6,7,8},{9}}=>[5,3,1]=>1 {{1,2,3,4,5},{6},{7},{8},{9}}=>[5,1,1,1,1]=>1 {{1,2,3,4},{5},{6},{7},{8},{9}}=>[4,1,1,1,1,1]=>1 {{1,2},{3,4},{5},{6},{7},{8},{9}}=>[2,2,1,1,1,1,1]=>1 {{1,4},{2,3},{5},{6},{7},{8},{9}}=>[2,2,1,1,1,1,1]=>1 {{1,5},{2},{3,4},{6},{7},{8},{9}}=>[2,1,2,1,1,1,1]=>1 {{1,6},{2},{3},{4,5},{7},{8},{9}}=>[2,1,1,2,1,1,1]=>1 {{1,7},{2},{3},{4},{5,6},{8},{9}}=>[2,1,1,1,2,1,1]=>1 {{1,8},{2},{3},{4},{5},{6,7},{9}}=>[2,1,1,1,1,2,1]=>1 {{1,9},{2},{3},{4},{5},{6},{7,8}}=>[2,1,1,1,1,1,2]=>1 {{1,2,3},{4,7},{5},{6,8}}=>[3,2,1,2]=>1 {{1,2,5},{3},{4,6,7},{8}}=>[3,1,3,1]=>1 {{1,2,7},{3},{4,8},{5,6}}=>[3,1,2,2]=>1 {{1,2,5},{3,8},{4},{6,7}}=>[3,2,1,2]=>1 {{1,4},{2,5,7,8},{3},{6}}=>[2,4,1,1]=>1 {{1,2,6},{3},{4,5,7},{8}}=>[3,1,3,1]=>1 {{1,2,5,6},{3},{4,7},{8}}=>[4,1,2,1]=>1 {{1},{2,6},{3,4,7,8},{5}}=>[1,2,4,1]=>1 {{1,3},{2},{4,7},{5,6,8}}=>[2,1,2,3]=>1 {{1,4},{2},{3,6,7,8},{5}}=>[2,1,4,1]=>1 {{1},{2,3,7},{4},{5,6,8}}=>[1,3,1,3]=>1 {{1},{2,3,6},{4},{5,7,8}}=>[1,3,1,3]=>1 {{1},{2,3},{4,6,7},{5,8}}=>[1,2,3,2]=>1 {{1},{2,3},{4,6},{5,7,8}}=>[1,2,2,3]=>1 {{1,4},{2,6},{3,7,8},{5}}=>[2,2,3,1]=>1 {{1},{2,3,5,6},{4,8},{7}}=>[1,4,2,1]=>1 {{1},{2,3,5},{4,7,8},{6}}=>[1,3,3,1]=>1 {{1},{2,5},{3,4,7,8},{6}}=>[1,2,4,1]=>1 {{1,4,7},{2},{3,6},{5,8}}=>[3,1,2,2]=>1 {{1},{2,4,8},{3,6,7},{5}}=>[1,3,3,1]=>1 {{1},{2,3,6},{4,7,8},{5}}=>[1,3,3,1]=>1 {{1,4,5,7},{2,3,6,8}}=>[4,4]=>4 {{1,5},{2,3,7},{4,6,8}}=>[2,3,3]=>2 {{1,5},{2,3,6,8},{4,7}}=>[2,4,2]=>2 {{1},{2,5},{3,4,7},{6,8}}=>[1,2,3,2]=>1 {{1,5},{2,6,8},{3,4,7}}=>[2,3,3]=>2 {{1,5,7},{2,6},{3,4,8}}=>[3,2,3]=>2 {{1,6},{2,5,7},{3,4,8}}=>[2,3,3]=>2 {{1,5,7},{2,3,6},{4,8}}=>[3,3,2]=>2 {{1,5,7},{2,3,8},{4,6}}=>[3,3,2]=>2 {{1},{2,7},{3,6},{4,5,8}}=>[1,2,2,3]=>1 {{1,7},{2,4,5,8},{3,6}}=>[2,4,2]=>2 {{1,7},{2,5,8},{3,4,6}}=>[2,3,3]=>2 {{1,6},{2,5},{3,4,7},{8}}=>[2,2,3,1]=>1 {{1,6},{2,4,5,8},{3,7}}=>[2,4,2]=>2 {{1,4,5},{2,7},{3,6},{8}}=>[3,2,2,1]=>1 {{1},{2,4,5,7},{3,6},{8}}=>[1,4,2,1]=>1 {{1,4,5,7},{2,8},{3,6}}=>[4,2,2]=>2 {{1,4,5},{2,7},{3,6,8}}=>[3,2,3]=>2 {{1,7},{2,5},{3,4,6,8}}=>[2,2,4]=>2 {{1},{2,6},{3,4,5,7},{8}}=>[1,2,4,1]=>1 {{1},{2,7},{3,6,8},{4,5}}=>[1,2,3,2]=>1 {{1,6},{2,4,5,7},{3,8}}=>[2,4,2]=>2 {{1,5,7},{2,8},{3,4,6}}=>[3,2,3]=>2 {{1,3,6},{2,7},{4,5},{8}}=>[3,2,2,1]=>1 {{1},{2,6,8},{3},{4,7},{5}}=>[1,3,1,2,1]=>1 {{1,3},{2},{4,7},{5},{6,8}}=>[2,1,2,1,2]=>1 {{1,3,4,7},{2},{5},{6,8}}=>[4,1,1,2]=>1 {{1,4},{2},{3,5},{6,8},{7}}=>[2,1,2,2,1]=>1 {{1,5,7},{2},{3,6},{4},{8}}=>[3,1,2,1,1]=>1 {{1},{2,7},{3,5},{4},{6,8}}=>[1,2,2,1,2]=>1 {{1,6},{2,4},{3},{5,7},{8}}=>[2,2,1,2,1]=>1 {{1},{2,7},{3,5,6,8},{4}}=>[1,2,4,1]=>1 {{1},{2,8},{3,6},{4},{5,7}}=>[1,2,2,1,2]=>1 {{1,7},{2,5},{3},{4,6},{8}}=>[2,2,1,2,1]=>1 {{1},{2,7},{3,4,6,8},{5}}=>[1,2,4,1]=>1 {{1,6},{2,3,5,7},{4},{8}}=>[2,4,1,1]=>1 {{1,4,5,8},{2},{3,6},{7}}=>[4,1,2,1]=>1 {{1,3,4,6},{2},{5,8},{7}}=>[4,1,2,1]=>1 {{1},{2,6},{3},{4,8},{5,7}}=>[1,2,1,2,2]=>1 {{1,5},{2},{3,7},{4,6},{8}}=>[2,1,2,2,1]=>1 {{1},{2,6},{3,5,8},{4,7}}=>[1,2,3,2]=>1 {{1,5},{2,4,7},{3,6},{8}}=>[2,3,2,1]=>1 {{1},{2,5},{3,4,6,8},{7}}=>[1,2,4,1]=>1 {{1,4},{2,3,5,7},{6},{8}}=>[2,4,1,1]=>1 {{1},{2,5,6,8},{3,7},{4}}=>[1,4,2,1]=>1 {{1},{2,7},{3,5},{4,6,8}}=>[1,2,2,3]=>1 {{1,5},{2,3,7},{4},{6},{8}}=>[2,3,1,1,1]=>1 {{1,5},{2,3,8},{4},{6},{7}}=>[2,3,1,1,1]=>1 {{1,5,8},{2,3,6},{4},{7}}=>[3,3,1,1]=>1 {{1,6},{2,3,8},{4},{5},{7}}=>[2,3,1,1,1]=>1 {{1,6},{2,4,8},{3},{5},{7}}=>[2,3,1,1,1]=>1 {{1,6,8},{2,3,7},{4},{5}}=>[3,3,1,1]=>1 {{1,6},{2,3},{4,7},{5},{8}}=>[2,2,2,1,1]=>1 {{1,6},{2,3},{4,7,8},{5}}=>[2,2,3,1]=>1 {{1,7},{2,3},{4,8},{5},{6}}=>[2,2,2,1,1]=>1 {{1,7},{2,4},{3,8},{5},{6}}=>[2,2,2,1,1]=>1 {{1,5},{2},{3,4,7},{6,8}}=>[2,1,3,2]=>1 {{1},{2,4},{3,5,7},{6,8}}=>[1,2,3,2]=>1 {{1,7},{2,5},{3},{4,8},{6}}=>[2,2,1,2,1]=>1 {{1,5,8},{2,4,6},{3},{7}}=>[3,3,1,1]=>1 {{1,4,8},{2,3,5},{6},{7}}=>[3,3,1,1]=>1 {{1},{2,4},{3,5,7},{6},{8}}=>[1,2,3,1,1]=>1 {{1},{2,4},{3,5,8},{6},{7}}=>[1,2,3,1,1]=>1 {{1},{2,4,7},{3,5,6},{8}}=>[1,3,3,1]=>1 {{1,7},{2,3,5},{4},{6,8}}=>[2,3,1,2]=>1 {{1},{2,4,5},{3,8},{6,7}}=>[1,3,2,2]=>1 {{1},{2,3,8},{4,6},{5,7}}=>[1,3,2,2]=>1 {{1},{2,4,5,7},{3},{6,8}}=>[1,4,1,2]=>1 {{1,3,7},{2},{4,5},{6,8}}=>[3,1,2,2]=>1 {{1},{2,4,7},{3,5,8},{6}}=>[1,3,3,1]=>1 {{1},{2},{3,5,7,8},{4,6}}=>[1,1,4,2]=>1 {{1},{2},{3,5,8},{4,6,7}}=>[1,1,3,3]=>1 {{1},{2,5,7},{3,6},{4,8}}=>[1,3,2,2]=>1 {{1,5,7,8},{2},{3},{4,6}}=>[4,1,1,2]=>1 {{1},{2,5,7,8},{3},{4,6}}=>[1,4,1,2]=>1 {{1,3,4,5,6,7,8,9},{2}}=>[8,1]=>1 {{1,4,5,6,7,8,9},{2},{3}}=>[7,1,1]=>1 {{1,2,3,4,9},{5,6,7,8}}=>[5,4]=>4 {{1,7,8,9},{2},{3},{4},{5},{6}}=>[4,1,1,1,1,1]=>1 {{1,5,6,7},{2},{3,8},{4}}=>[4,1,2,1]=>1 {{1,7,8},{2},{3,5},{4,6}}=>[3,1,2,2]=>1 {{1,5,6,8},{2},{3},{4,7}}=>[4,1,1,2]=>1 {{1},{2,4,5,6,7,8,9},{3}}=>[1,7,1]=>1 {{1,3,4,5,6,7,8},{2},{9}}=>[7,1,1]=>1 {{1},{2,5,6,7,8,9},{3,4}}=>[1,6,2]=>1 {{1,4,5,6,7,8},{2,3},{9}}=>[6,2,1]=>1 {{1},{2,3,5},{4,6,7,8}}=>[1,3,4]=>1 {{1},{2,3,5},{4,6,8},{7}}=>[1,3,3,1]=>1 {{1,4,5,6,8},{2,3,7}}=>[5,3]=>3 {{1,4},{2},{3,5,6,7,8}}=>[2,1,5]=>1 {{1,3},{2,5,6},{4},{7,8}}=>[2,3,1,2]=>1 {{1,4},{2,5},{3,7,8},{6}}=>[2,2,3,1]=>1 {{1,6},{2},{3,7},{4,5,8}}=>[2,1,2,3]=>1 {{1,7},{2},{3,5},{4,6,8}}=>[2,1,2,3]=>1 {{1,3},{2,5,7,8},{4},{6}}=>[2,4,1,1]=>1 {{1,7},{2},{3,5,6,8},{4}}=>[2,1,4,1]=>1 {{1,7},{2},{3,5,8},{4,6}}=>[2,1,3,2]=>1 {{1,6},{2},{3,5,7},{4,8}}=>[2,1,3,2]=>1 {{1,8},{2},{3,5,7},{4,6}}=>[2,1,3,2]=>1 {{1,4,6},{2,3,5},{7},{8}}=>[3,3,1,1]=>1 {{1,5,8},{2},{3},{4,6,7}}=>[3,1,1,3]=>1 {{1,5,6},{2},{3,4,7},{8}}=>[3,1,3,1]=>1 {{1,3,6},{2,4,5},{7},{8}}=>[3,3,1,1]=>1 {{1,4,7},{2,3,5,6},{8}}=>[3,4,1]=>1 {{1,6},{2,3,5,7,8},{4}}=>[2,5,1]=>1 {{1,4,6},{2,3,7,8},{5}}=>[3,4,1]=>1 {{1,3,5,6,8},{2},{4,7}}=>[5,1,2]=>1 {{1,4,5,8},{2,7},{3,6}}=>[4,2,2]=>2 {{1},{2,4,5,7,8},{3,6}}=>[1,5,2]=>1 {{1},{2,4,6,8},{3,5,7}}=>[1,4,3]=>1 {{1,4,7},{2,6},{3,5,8}}=>[3,2,3]=>2 {{1,5},{2,4,7},{3,6,8}}=>[2,3,3]=>2 {{1,3,5,7},{2},{4,6,8}}=>[4,1,3]=>1 {{1,3,6},{2},{4,5,7,8}}=>[3,1,4]=>1 {{1},{2,5,8},{3,4,6,7}}=>[1,3,4]=>1 {{1,5,6,8},{2,4,7},{3}}=>[4,3,1]=>1 {{1,6},{2,4,5,7,8},{3}}=>[2,5,1]=>1 {{1,2,4,6,7},{3},{5,8}}=>[5,1,2]=>1 {{1,3,5},{2,4,6,8},{7}}=>[3,4,1]=>1 {{1,4},{2,3,5,6,8},{7}}=>[2,5,1]=>1 {{1,3,4,6,7},{2},{5,8}}=>[5,1,2]=>1 {{1},{2,3,5,6,8},{4,7}}=>[1,5,2]=>1 {{1,3,7},{2,4,6,8},{5}}=>[3,4,1]=>1 {{1,4},{2,3,5,7,8},{6}}=>[2,5,1]=>1 {{1},{2},{3},{4},{5},{6,7},{8,9}}=>[1,1,1,1,1,2,2]=>1 {{1},{2,3,7},{4,5},{6,8}}=>[1,3,2,2]=>1 {{1,3},{2},{4,5,7},{6,8}}=>[2,1,3,2]=>1 {{1,2},{3},{4,5,7},{6,8}}=>[2,1,3,2]=>1 {{1},{2},{3,4,6},{5,7,8}}=>[1,1,3,3]=>1 {{1},{2},{3,4,7},{5,6,8}}=>[1,1,3,3]=>1 {{1,2},{3},{4,6,8},{5,7}}=>[2,1,3,2]=>1 {{1,2},{3},{4,6,7},{5,8}}=>[2,1,3,2]=>1 {{1,3},{2,4},{5},{6,7,8}}=>[2,2,1,3]=>1 {{1,4},{2,5},{3},{6,7,8}}=>[2,2,1,3]=>1 {{1,3},{2,5},{4},{6,7,8}}=>[2,2,1,3]=>1 {{1,7},{2,8},{3},{4,5,6}}=>[2,2,1,3]=>1 {{1,4},{2,8},{3},{5,6,7}}=>[2,2,1,3]=>1 {{1},{2,6,7},{3},{4,5,8}}=>[1,3,1,3]=>1 {{1,4,8},{2,5,6},{3},{7}}=>[3,3,1,1]=>1 {{1,3},{2,4,5,8},{6},{7}}=>[2,4,1,1]=>1 {{1,2,4,6},{3},{5,7},{8}}=>[4,1,2,1]=>1 {{1,3,4,6},{2},{5,7},{8}}=>[4,1,2,1]=>1 {{1,2,6},{3,7},{4,5},{8}}=>[3,2,2,1]=>1 {{1,6,8},{2,7},{3,4},{5}}=>[3,2,2,1]=>1 {{1,6,7},{2,4},{3,8},{5}}=>[3,2,2,1]=>1 {{1,4},{2},{3,5},{6,7,8}}=>[2,1,2,3]=>1 {{1,6},{2,7},{3},{4,5,8}}=>[2,2,1,3]=>1 {{1},{2,3,4,6},{5,7},{8}}=>[1,4,2,1]=>1 {{1},{2,7,8},{3,5},{4,6}}=>[1,3,2,2]=>1 {{1,5,6},{2,7},{3,4},{8}}=>[3,2,2,1]=>1 {{1,6},{2,7,8},{3},{4,5}}=>[2,3,1,2]=>1 {{1,8},{2},{3,5},{4,6,7}}=>[2,1,2,3]=>1 {{1,6},{2},{3,5,8},{4,7}}=>[2,1,3,2]=>1 {{1,2,3,8,9},{4},{5},{6},{7}}=>[5,1,1,1,1]=>1 {{1,2,3,9},{4,5},{6},{7},{8}}=>[4,2,1,1,1]=>1 {{1,2,3,4,8,9},{5},{6},{7}}=>[6,1,1,1]=>1 {{1,2,3,4,9},{5,6},{7},{8}}=>[5,2,1,1]=>1 {{1,2,8,9},{3,7},{4},{5},{6}}=>[4,2,1,1,1]=>1 {{1,2,4,8,9},{3},{5},{6},{7}}=>[5,1,1,1,1]=>1 {{1,2,9},{3,8},{4,5},{6},{7}}=>[3,2,2,1,1]=>1 {{1,2,5,9},{3,4},{6},{7},{8}}=>[4,2,1,1,1]=>1 {{1},{2,6,8},{3},{4,5,7}}=>[1,3,1,3]=>1 {{1},{2,6,7},{3,8},{4,5}}=>[1,3,2,2]=>1 {{1},{2,5,6},{3,8},{4,7}}=>[1,3,2,2]=>1 {{1,9},{2,3,4,5,6,7,8}}=>[2,7]=>2 {{1,8},{2,3,4,5,6,7},{9}}=>[2,6,1]=>1 {{1,7},{2,3,4,5,6},{8},{9}}=>[2,5,1,1]=>1 {{1,6},{2,3,4,5},{7},{8},{9}}=>[2,4,1,1,1]=>1 {{1,5},{2,3,4},{6},{7},{8},{9}}=>[2,3,1,1,1,1]=>1 {{1,3,8},{2,6,7},{4},{5}}=>[3,3,1,1]=>1 {{1,2,7},{3,6},{4},{5,8}}=>[3,2,1,2]=>1 {{1,2,8},{3},{4,6},{5,7}}=>[3,1,2,2]=>1 {{1,9},{2,3,4,5,6,8},{7}}=>[2,6,1]=>1 {{1,9},{2,3,4,5,8},{6,7}}=>[2,5,2]=>2 {{1,9},{2,3,4,5,7,8},{6}}=>[2,6,1]=>1 {{1,7},{2,3,5},{4,6},{8}}=>[2,3,2,1]=>1 {{1,3},{2,5,6},{4,7},{8}}=>[2,3,2,1]=>1 {{1,3},{2,7},{4,5,6},{8}}=>[2,2,3,1]=>1 {{1},{2,5,8},{3},{4,6,7}}=>[1,3,1,3]=>1 {{1,4},{2,6,7},{3,5},{8}}=>[2,3,2,1]=>1 {{1,4},{2,7,8},{3,6},{5}}=>[2,3,2,1]=>1 {{1},{2,4,5},{3,6,7},{8}}=>[1,3,3,1]=>1 {{1},{2,4,5},{3,6,8},{7}}=>[1,3,3,1]=>1 {{1},{2,5,6},{3,7,8},{4}}=>[1,3,3,1]=>1 {{1},{2,4},{3,5,6},{7,8}}=>[1,2,3,2]=>1 {{1,4,6},{2,3,8},{5,7}}=>[3,3,2]=>2 {{1,3},{2,6},{4,5,7},{8}}=>[2,2,3,1]=>1 {{1,4},{2},{3,5,6,7},{8}}=>[2,1,4,1]=>1 {{1,3,6},{2,7},{4,5,8}}=>[3,2,3]=>2 {{1,4,6},{2,3,5,7,8}}=>[3,5]=>3 {{1,2,4,6},{3},{5,7,8}}=>[4,1,3]=>1 {{1,5,6},{2,4,7},{3,8}}=>[3,3,2]=>2 {{1,2,3,6,7},{4},{5,8}}=>[5,1,2]=>1 {{1},{2,4,6,7,8},{3,5}}=>[1,5,2]=>1 {{1,2,6},{3,4,5,7,8}}=>[3,5]=>3 {{1,5,8},{2},{3,4,6,7}}=>[3,1,4]=>1 {{1},{2,3,5,8},{4,7},{6}}=>[1,4,2,1]=>1 {{1,4,7},{2,3,5,6,8}}=>[3,5]=>3 {{1,2,3,4,5,6,7,9},{8}}=>[8,1]=>1 {{1},{2,3,4,5,6,7,8},{9}}=>[1,7,1]=>1 {{1,2},{3,4,5,6,7,8},{9}}=>[2,6,1]=>1 {{1,3,4,5,6,7,9},{2},{8}}=>[7,1,1]=>1 {{1,5,7,8},{2,3,4,6}}=>[4,4]=>4 {{1,3,6,8},{2,4,5,7}}=>[4,4]=>4 {{1,2,6,8},{3,4,5,7}}=>[4,4]=>4 {{1,6},{2,3,4,5,7,8}}=>[2,6]=>2 {{1,2,6},{3,4,5,8},{7}}=>[3,4,1]=>1 {{1,4,8},{2,3,5,6},{7}}=>[3,4,1]=>1 {{1,5},{2,3,4,8},{6,7}}=>[2,4,2]=>2 {{1,4,8},{2,3,5},{6,7}}=>[3,3,2]=>2 {{1,2,4},{3,5,6,7,8}}=>[3,5]=>3 {{1,5,8},{2,3,4,6,7}}=>[3,5]=>3 {{1,3,4},{2,5,6,7,8}}=>[3,5]=>3 {{1,4,6,7},{2,3,8},{5}}=>[4,3,1]=>1 {{1,3,8},{2,4,6,7},{5}}=>[3,4,1]=>1 {{1,3,5},{2,8},{4,6,7}}=>[3,2,3]=>2 {{1,4,7,8},{2,3,6},{5}}=>[4,3,1]=>1 {{1,6},{2,3,5},{4,7,8}}=>[2,3,3]=>2 {{1,2,6},{3,5},{4,7,8}}=>[3,2,3]=>2 {{1,2,5},{3,6},{4,7,8}}=>[3,2,3]=>2 {{1,5},{2,3,6},{4,7,8}}=>[2,3,3]=>2 {{1,4,7,8},{2,6},{3,5}}=>[4,2,2]=>2 {{1,7,8},{2,3,5},{4,6}}=>[3,3,2]=>2 {{1,7,8},{2,5},{3,4,6}}=>[3,2,3]=>2 {{1,7,8},{2,4,6},{3,5}}=>[3,3,2]=>2 {{1,4,8},{2,3,5,7},{6}}=>[3,4,1]=>1 {{1,2,5},{3,4,6,7,8}}=>[3,5]=>3 {{1,8},{2,3},{4},{5},{6},{7},{9}}=>[2,2,1,1,1,1,1]=>1 {{1,2},{3},{4},{5},{6},{7},{8,9}}=>[2,1,1,1,1,1,2]=>1 {{1,7},{2},{3},{4},{5},{6},{8,9}}=>[2,1,1,1,1,1,2]=>1 {{1,3,4,5,6,7},{2,9},{8}}=>[6,2,1]=>1 {{1,2,3,4,5,7},{6,8},{9}}=>[6,2,1]=>1 {{1,3,4,5,6,8},{2,9},{7}}=>[6,2,1]=>1 {{1,3,4,5,6,9},{2,8},{7}}=>[6,2,1]=>1 {{1,2},{3,4,5,6,7,8,9}}=>[2,7]=>2 {{1,2,3},{4,5,6,7,8,9}}=>[3,6]=>3 {{1,2,3,4},{5,6,7,8,9}}=>[4,5]=>4 {{1},{2},{3,4,5,6,7,8,9}}=>[1,1,7]=>1 {{1,2},{3,5,6,7,8,9},{4}}=>[2,6,1]=>1 {{1,2,4,5,6,7},{3},{8,9}}=>[6,1,2]=>1 {{1,2,3},{4,5,7,8,9},{6}}=>[3,5,1]=>1 {{1,2,3,5,6},{4},{7,8,9}}=>[5,1,3]=>1 {{1,2,3,4},{5,6,7,9},{8}}=>[4,4,1]=>1 {{1},{2},{3},{4},{5,7},{6,8}}=>[1,1,1,1,2,2]=>1 {{1},{2},{3},{4,6},{5,8},{7}}=>[1,1,1,2,2,1]=>1 {{1},{2},{3,5},{4,8},{6},{7}}=>[1,1,2,2,1,1]=>1 {{1},{2,4},{3,8},{5},{6},{7}}=>[1,2,2,1,1,1]=>1 {{1},{2},{3},{4},{5},{6,8},{7,9}}=>[1,1,1,1,1,2,2]=>1 {{1},{2},{3},{4,7},{5,8},{6}}=>[1,1,1,2,2,1]=>1 {{1},{2},{3},{4},{5,7},{6,9},{8}}=>[1,1,1,1,2,2,1]=>1 {{1},{2},{3,6},{4,8},{5},{7}}=>[1,1,2,2,1,1]=>1 {{1},{2},{3},{4,6,7},{5,8}}=>[1,1,1,3,2]=>1 {{1},{2},{3},{4,6},{5,9},{7},{8}}=>[1,1,1,2,2,1,1]=>1 {{1},{2,5},{3,8},{4},{6},{7}}=>[1,2,2,1,1,1]=>1 {{1},{2},{3,5,6},{4,8},{7}}=>[1,1,3,2,1]=>1 {{1},{2},{3,5},{4,9},{6},{7},{8}}=>[1,1,2,2,1,1,1]=>1 {{1},{2,4,5},{3,8},{6},{7}}=>[1,3,2,1,1]=>1 {{1},{2,4},{3,9},{5},{6},{7},{8}}=>[1,2,2,1,1,1,1]=>1 {{1,3},{2,9},{4},{5},{6},{7},{8}}=>[2,2,1,1,1,1,1]=>1 {{1,2,5,7},{3},{4,6,8}}=>[4,1,3]=>1 {{1,7},{2,3,4,5,6,8}}=>[2,6]=>2 {{1,4,6,7,8},{2,3,5}}=>[5,3]=>3 {{1,2,6,7},{3,4,5,8}}=>[4,4]=>4 {{1,3,6,7,8},{2,4,5}}=>[5,3]=>3 {{1,6},{2,5,7,8},{3,4}}=>[2,4,2]=>2 {{1,6},{2,3,7},{4,5,8}}=>[2,3,3]=>2 {{1,3,5},{2,6},{4,7,8}}=>[3,2,3]=>2 {{1,4,5,7,8},{2,3,6}}=>[5,3]=>3 {{1,3,7},{2,4,6},{5,8}}=>[3,3,2]=>2 {{1,5,7},{2,3,6,8},{4}}=>[3,4,1]=>1 {{1,3,7},{2,4,5,8},{6}}=>[3,4,1]=>1 {{1,3,7},{2,4,5,6,8}}=>[3,5]=>3 {{1,5,8},{2,4,6},{3,7}}=>[3,3,2]=>2 {{1,6},{2,3,4,7,8},{5}}=>[2,5,1]=>1 {{1,2,5,8},{3,4,6,7}}=>[4,4]=>4 {{1},{2,3,5,7,8},{4,6}}=>[1,5,2]=>1 {{1},{2,3,5,7},{4,6},{8}}=>[1,4,2,1]=>1 {{1},{2,3,5,7},{4,6,8}}=>[1,4,3]=>1 {{1},{2,3,4,5,7},{6,8}}=>[1,5,2]=>1 {{1},{2,3,5,8},{4,6,7}}=>[1,4,3]=>1 {{1,3},{2,6,8},{4,5},{7}}=>[2,3,2,1]=>1 {{1,4,6,7},{2},{3},{5,8}}=>[4,1,1,2]=>1 {{1,4,7,8},{2},{3,5},{6}}=>[4,1,2,1]=>1 {{1},{2,4,7,8},{3,5},{6}}=>[1,4,2,1]=>1 {{1},{2,4,7,8},{3,6},{5}}=>[1,4,2,1]=>1 {{1,4},{2},{3,7,8},{5,6}}=>[2,1,3,2]=>1 {{1},{2,3,4,6,8},{5,7}}=>[1,5,2]=>1 {{1},{2,3,4,5,6,8},{7,9}}=>[1,6,2]=>1 {{1,5,6,8},{2,3,7},{4}}=>[4,3,1]=>1 {{1,5,6},{2,3},{4,7,8}}=>[3,2,3]=>2 {{1,2,3,4,5,6,9},{7},{8}}=>[7,1,1]=>1 {{1,6,7,8,9},{2,3,4,5}}=>[5,4]=>4 {{1,2,3,9},{4},{5},{6},{7},{8}}=>[4,1,1,1,1,1]=>1 {{1,2,9},{3},{4},{5},{6},{7},{8}}=>[3,1,1,1,1,1,1]=>1 {{1,3},{2,4,5,6,8},{7}}=>[2,5,1]=>1 {{1,6,7},{2,3,4,5,8}}=>[3,5]=>3 {{1,7},{2,3,4},{5,6,8}}=>[2,3,3]=>2 {{1,4,5},{2,3,7,8},{6}}=>[3,4,1]=>1 {{1,4,6,8},{2,3,5,7}}=>[4,4]=>4 {{1,4,8},{2,3,6,7},{5}}=>[3,4,1]=>1 {{1,3,7},{2,6},{4,5,8}}=>[3,2,3]=>2 {{1,2,6},{3,7},{4,5,8}}=>[3,2,3]=>2 {{1,2},{3,4,6},{5,7,8}}=>[2,3,3]=>2 {{1,2,3},{4,7},{5,6,8}}=>[3,2,3]=>2 {{1,5},{2,6,7,8},{3,4}}=>[2,4,2]=>2 {{1,7},{2,6,8},{3,4,5}}=>[2,3,3]=>2 {{1,2,6},{3,5,7,8},{4}}=>[3,4,1]=>1 {{1},{2,3,6},{4,5,7,8}}=>[1,3,4]=>1 {{1,7,8},{2,4},{3,5,6}}=>[3,2,3]=>2 {{1},{2,3,9},{4},{5},{6},{7},{8}}=>[1,3,1,1,1,1,1]=>1 {{1,2,3,4,5,6,8,9},{7}}=>[8,1]=>1 {{1,2,3,4,5,7,8,9},{6}}=>[8,1]=>1 {{1,2,3,4,6,7,8,9},{5}}=>[8,1]=>1 {{1,2,3,5,6,7,8,9},{4}}=>[8,1]=>1 {{1,2,4,5,6,7,8,9},{3}}=>[8,1]=>1 {{1,2,3,4,5,9},{6},{7,8}}=>[6,1,2]=>1 {{1,2,3,4,9},{5},{6,7,8}}=>[5,1,3]=>1 {{1,2,3,9},{4},{5,6,7,8}}=>[4,1,4]=>1 {{1,2,9},{3},{4,5,6,7,8}}=>[3,1,5]=>1 {{1,9},{2},{3,4,5,6,7,8}}=>[2,1,6]=>1 {{1,2},{3,5},{4},{6},{7},{8},{9}}=>[2,2,1,1,1,1,1]=>1 {{1,2},{3},{4,5},{6},{7},{8},{9}}=>[2,1,2,1,1,1,1]=>1 {{1,9},{2,4},{3},{5},{6},{7},{8}}=>[2,2,1,1,1,1,1]=>1 {{1,9},{2},{3,4},{5},{6},{7},{8}}=>[2,1,2,1,1,1,1]=>1 {{1,3},{2,5,8},{4},{6,7}}=>[2,3,1,2]=>1 {{1,9},{2,8},{3},{4},{5},{6},{7}}=>[2,2,1,1,1,1,1]=>1 {{1,3,9},{2},{4},{5},{6},{7},{8}}=>[3,1,1,1,1,1,1]=>1 {{1},{2,9},{3,8},{4},{5},{6},{7}}=>[1,2,2,1,1,1,1]=>1 {{1,2,7},{3},{4},{5},{6},{8,9}}=>[3,1,1,1,1,2]=>1 {{1,2},{3,4,9},{5},{6},{7},{8}}=>[2,3,1,1,1,1]=>1 {{1,3,8},{2},{4},{5},{6},{7},{9}}=>[3,1,1,1,1,1,1]=>1 {{1},{2,4},{3,5,6,7,8}}=>[1,2,5]=>1 {{1,5,6},{2},{3},{4,7,8}}=>[3,1,1,3]=>1 {{1,3,5},{2},{4,6},{7},{8}}=>[3,1,2,1,1]=>1 {{1,3,7},{2},{4},{5},{6,8}}=>[3,1,1,1,2]=>1 {{1,3,6},{2},{4},{5,8},{7}}=>[3,1,1,2,1]=>1 {{1},{2},{3,7},{4,8},{5},{6}}=>[1,1,2,2,1,1]=>1 {{1,7},{2},{3},{4},{5},{6,8}}=>[2,1,1,1,1,2]=>1 {{1,6},{2},{3},{4},{5,8},{7}}=>[2,1,1,1,2,1]=>1 {{1,4},{2,6},{3},{5,8},{7}}=>[2,2,1,2,1]=>1 {{1,5},{2,6},{3},{4,8},{7}}=>[2,2,1,2,1]=>1 {{1,5,7},{2},{3},{4},{6,8}}=>[3,1,1,1,2]=>1 {{1,5},{2},{3},{4,6},{7},{8}}=>[2,1,1,2,1,1]=>1 {{1,4},{2},{3,6},{5},{7},{8}}=>[2,1,2,1,1,1]=>1 {{1},{2,5},{3,6},{4},{7},{8}}=>[1,2,2,1,1,1]=>1 {{1,4,6},{2},{3,5,7},{8}}=>[3,1,3,1]=>1 {{1,6},{2},{3},{4,7},{5},{8}}=>[2,1,1,2,1,1]=>1 {{1,6},{2},{3},{4,7},{5,8}}=>[2,1,1,2,2]=>1 {{1,5},{2},{3},{4,7},{6,8}}=>[2,1,1,2,2]=>1 {{1,5,7},{2},{3},{4,6},{8}}=>[3,1,1,2,1]=>1 {{1,4,7},{2},{3,6},{5},{8}}=>[3,1,2,1,1]=>1 {{1,4},{2},{3,7},{5},{6,8}}=>[2,1,2,1,2]=>1 {{1,5},{2},{3,7},{4,8},{6}}=>[2,1,2,2,1]=>1 {{1,5},{2},{3,7},{4},{6},{8}}=>[2,1,2,1,1,1]=>1 {{1,7},{2,5},{3,6},{4},{8}}=>[2,2,2,1,1]=>1 {{1},{2,6},{3},{4,8},{5},{7}}=>[1,2,1,2,1,1]=>1 {{1,5},{2,3,4,8},{6},{7}}=>[2,4,1,1]=>1 {{1,4,5},{2,3,8},{6},{7}}=>[3,3,1,1]=>1 {{1},{2,8,9},{3},{4},{5},{6},{7}}=>[1,3,1,1,1,1,1]=>1 {{1,2},{3,9},{4},{5},{6},{7},{8}}=>[2,2,1,1,1,1,1]=>1 {{1,3},{2,5},{4,6,7},{8}}=>[2,2,3,1]=>1 {{1,3,5},{2,7},{4,6},{8}}=>[3,2,2,1]=>1 {{1,4,5,8},{2,3,7},{6}}=>[4,3,1]=>1 {{1,8},{2,3,4,6},{5,7}}=>[2,4,2]=>2 {{1,7},{2,3},{4,5,6,8}}=>[2,2,4]=>2 {{1,7},{2,3,5,6},{4,8}}=>[2,4,2]=>2 {{1,4,7,8},{2,3,5,6}}=>[4,4]=>4 {{1,5,7,8},{2,4},{3,6}}=>[4,2,2]=>2 {{1,5,7,8},{2,3},{4,6}}=>[4,2,2]=>2 {{1,5,6,8},{2,3},{4,7}}=>[4,2,2]=>2 {{1,5},{2},{3,4,6,8},{7}}=>[2,1,4,1]=>1 {{1,6},{2},{3},{4,5,7,8}}=>[2,1,1,4]=>1 {{1,4},{2,6,7,8},{3},{5}}=>[2,4,1,1]=>1 {{1},{2,5},{3,6,7,8},{4}}=>[1,2,4,1]=>1 {{1,3,4,7},{2},{5,8},{6}}=>[4,1,2,1]=>1 {{1,4,6},{2,3,5},{7,8}}=>[3,3,2]=>2 {{1,6,8},{2,3,4,5,7}}=>[3,5]=>3 {{1,2},{3,6,8},{4,5,7}}=>[2,3,3]=>2 {{1,6,7},{2,4,5,8},{3}}=>[3,4,1]=>1 {{1,2,7},{3,6,8},{4,5}}=>[3,3,2]=>2 {{1,3,5,8},{2,7},{4,6}}=>[4,2,2]=>2 {{1,4,5,8},{2,3,6},{7}}=>[4,3,1]=>1 {{1,7},{2,3,5},{4,6,8}}=>[2,3,3]=>2 {{1,5,7},{2,3,4,6,8}}=>[3,5]=>3 {{1,5},{2,4,6,7,8},{3}}=>[2,5,1]=>1 {{1,7},{2,4,5,6,8},{3}}=>[2,5,1]=>1 {{1},{2,3,4},{5},{6},{7},{8},{9}}=>[1,3,1,1,1,1,1]=>1 {{1,7,9},{2},{3},{4},{5},{6},{8}}=>[3,1,1,1,1,1,1]=>1 {{1,6,9},{2},{3},{4},{5},{7},{8}}=>[3,1,1,1,1,1,1]=>1 {{1,5,9},{2},{3},{4},{6},{7},{8}}=>[3,1,1,1,1,1,1]=>1 {{1,6,7,9},{2},{3},{4},{5},{8}}=>[4,1,1,1,1,1]=>1 {{1,4,8},{2,3,5,6,7}}=>[3,5]=>3 {{1,3},{2,4,5,6,7},{8}}=>[2,5,1]=>1 {{1},{2,4},{3,5,6,7,8,9}}=>[1,2,6]=>1 {{1},{2,5},{3,4,6,7,8}}=>[1,2,5]=>1 {{1,4},{2,3,5,6,7},{8}}=>[2,5,1]=>1 {{1,2,4},{3,5,6,7},{8}}=>[3,4,1]=>1 {{1,3},{2,4,5,6,7,8},{9}}=>[2,6,1]=>1 {{1},{2,5},{3,4,6,7,8,9}}=>[1,2,6]=>1 {{1},{2,3,5},{4,6,7,8,9}}=>[1,3,5]=>1 {{1},{2,6},{3,4,5,7,8}}=>[1,2,5]=>1 {{1},{2,3,4,6},{5,7,8}}=>[1,4,3]=>1 {{1,5},{2,3,4,6,7},{8}}=>[2,5,1]=>1 {{1,4},{2,3,5,6,7,8},{9}}=>[2,6,1]=>1 {{1,2,4},{3,5,6,7,8},{9}}=>[3,5,1]=>1 {{1,2,7},{3},{4,6,8},{5}}=>[3,1,3,1]=>1 {{1},{2,4,6},{3},{5,7,8}}=>[1,3,1,3]=>1 {{1,2,4,5,7},{3},{6,8}}=>[5,1,2]=>1 {{1,4,5},{2},{3,6,7,8}}=>[3,1,4]=>1 {{1,3,4,6,8},{2},{5,7}}=>[5,1,2]=>1 {{1},{2,5,7},{3},{4,6,8}}=>[1,3,1,3]=>1 {{1,2},{3,5,7},{4,6,8}}=>[2,3,3]=>2 {{1,2,3},{4,6},{5,7,8}}=>[3,2,3]=>2 {{1,3,4,5,7},{2},{6,8}}=>[5,1,2]=>1 {{1,4,5,7,8},{2},{3,6}}=>[5,1,2]=>1 {{1,2,5,6,7},{3},{4,8}}=>[5,1,2]=>1 {{1,4,6,8},{2},{3,5,7}}=>[4,1,3]=>1 {{1,8},{2,9},{3},{4},{5},{6},{7}}=>[2,2,1,1,1,1,1]=>1 {{1},{2,7},{3,8},{4},{5},{6}}=>[1,2,2,1,1,1]=>1 {{1,7},{2},{3,9},{4},{5},{6},{8}}=>[2,1,2,1,1,1,1]=>1 {{1,6},{2},{3},{4,9},{5},{7},{8}}=>[2,1,1,2,1,1,1]=>1 {{1,5,6},{2},{3,8},{4},{7}}=>[3,1,2,1,1]=>1 {{1,5},{2},{3},{4},{6,9},{7},{8}}=>[2,1,1,1,2,1,1]=>1 {{1,4},{2},{3},{5},{6},{7,9},{8}}=>[2,1,1,1,1,2,1]=>1 {{1,3},{2},{4},{5},{6},{7},{8,9}}=>[2,1,1,1,1,1,2]=>1 {{1,2,3,4,5,6,9},{7,8}}=>[7,2]=>2 {{1,3,4,5,6,9},{2},{7,8}}=>[6,1,2]=>1 {{1},{2},{3},{4,6,8},{5,7}}=>[1,1,1,3,2]=>1 {{1},{2},{3,5,8},{4,6},{7}}=>[1,1,3,2,1]=>1 {{1,2,8},{3},{4},{5},{6},{7},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,2,7},{3},{4},{5},{6},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,4,5,6,7,8,9},{2,3}}=>[7,2]=>2 {{1,5,6,7,8,9},{2,3,4}}=>[6,3]=>3 {{1,7,8,9},{2,3,4,5,6}}=>[4,5]=>4 {{1,8,9},{2,3,4,5,6,7}}=>[3,6]=>3 {{1,5,6,7,8,9},{2,4},{3}}=>[6,2,1]=>1 {{1,6,7,8,9},{2,3,5},{4}}=>[5,3,1]=>1 {{1,7,8,9},{2,3,4,6},{5}}=>[4,4,1]=>1 {{1,8,9},{2,3,4,5,7},{6}}=>[3,5,1]=>1 {{1,2,9},{3,4,5,6,7,8}}=>[3,6]=>3 {{1},{2,3,4,5,6,7},{8,9}}=>[1,6,2]=>1 {{1,4,6},{2,3},{5,7,8}}=>[3,2,3]=>2 {{1,3,8},{2,4,5},{6,7}}=>[3,3,2]=>2 {{1,2,7},{3},{4,5,6,8}}=>[3,1,4]=>1 {{1},{2,4,8},{3,5,6,7}}=>[1,3,4]=>1 {{1,4,5,6,7},{2},{3,8}}=>[5,1,2]=>1 {{1},{2,7},{3,6},{4},{5,8}}=>[1,2,2,1,2]=>1 {{1,3,5},{2,4,6,7,8}}=>[3,5]=>3 {{1,5},{2},{3,7},{4},{6,8}}=>[2,1,2,1,2]=>1 {{1,5,6,7},{2,4},{3,8}}=>[4,2,2]=>2 {{1,5,6},{2,4,8},{3,7}}=>[3,3,2]=>2 {{1},{2,3,4,5,6,9},{7},{8}}=>[1,6,1,1]=>1 {{1},{2,3,4,5,9},{6},{7},{8}}=>[1,5,1,1,1]=>1 {{1},{2,3,4,9},{5},{6},{7},{8}}=>[1,4,1,1,1,1]=>1 {{1},{2,3,4,5,9},{6,7},{8}}=>[1,5,2,1]=>1 {{1},{2,3,4,9},{5,6},{7},{8}}=>[1,4,2,1,1]=>1 {{1},{2,3,9},{4,5},{6},{7},{8}}=>[1,3,2,1,1,1]=>1 {{1},{2},{3,9},{4,7},{5},{6},{8}}=>[1,1,2,2,1,1,1]=>1 {{1},{2},{3,4},{5},{6,9},{7},{8}}=>[1,1,2,1,2,1,1]=>1 {{1},{2,3},{4},{5},{6},{7,9},{8}}=>[1,2,1,1,1,2,1]=>1 {{1,2,7},{3,8},{4},{5,6}}=>[3,2,1,2]=>1 {{1,2,6,7},{3},{4,8},{5}}=>[4,1,2,1]=>1 {{1,5},{2,3,4,7},{6,8}}=>[2,4,2]=>2 {{1,2,4,6,8},{3},{5,7}}=>[5,1,2]=>1 {{1,3,8},{2,4,5,6,7}}=>[3,5]=>3 {{1,3,4,6},{2,8},{5,7}}=>[4,2,2]=>2 {{1,3},{2,7},{4,5,6,8}}=>[2,2,4]=>2 {{1},{2,7},{3},{4,5,6,8}}=>[1,2,1,4]=>1 {{1,3,8},{2,6},{4,5,7}}=>[3,2,3]=>2 {{1,2,4},{3,6},{5,7,8}}=>[3,2,3]=>2 {{1,2,7},{3,4,6,8},{5}}=>[3,4,1]=>1 {{1,3,4,8},{2,7},{5,6}}=>[4,2,2]=>2 {{1},{2,5},{3},{4,7},{6,8}}=>[1,2,1,2,2]=>1 {{1,4,8},{2,3,7},{5,6}}=>[3,3,2]=>2 {{1,2},{3,4,7},{5,6,8}}=>[2,3,3]=>2 {{1,4,7},{2,3},{5,6,8}}=>[3,2,3]=>2 {{1,3,7},{2,4},{5,6,8}}=>[3,2,3]=>2 {{1,3,7},{2,6,8},{4,5}}=>[3,3,2]=>2 {{1,7},{2,3,5,8},{4,6}}=>[2,4,2]=>2 {{1,2,6},{3,8},{4,5,7}}=>[3,2,3]=>2 {{1,2,8},{3,4,6},{5,7}}=>[3,3,2]=>2 {{1,2},{3,5,7,8},{4,6}}=>[2,4,2]=>2 {{1,5,7,8},{2,6},{3,4}}=>[4,2,2]=>2 {{1,5,8},{2,7},{3,4,6}}=>[3,2,3]=>2 {{1,6,8},{2,3},{4,5,7}}=>[3,2,3]=>2 {{1,6,8},{2,5,7},{3,4}}=>[3,3,2]=>2 {{1,6,8},{2,4,7},{3,5}}=>[3,3,2]=>2 {{1,2,6,7},{3},{4},{5,8}}=>[4,1,1,2]=>1 {{1},{2,4},{3,5},{6,7,8}}=>[1,2,2,3]=>1 {{1,4},{2,5,6,8},{3},{7}}=>[2,4,1,1]=>1 {{1,5,6,9},{2},{3},{4},{7},{8}}=>[4,1,1,1,1,1]=>1 {{1,4,5,9},{2},{3},{6},{7},{8}}=>[4,1,1,1,1,1]=>1 {{1,3,4,9},{2},{5},{6},{7},{8}}=>[4,1,1,1,1,1]=>1 {{1,6},{2},{3},{4},{5},{7,8,9}}=>[2,1,1,1,1,3]=>1 {{1,5},{2},{3},{4},{6,7,8,9}}=>[2,1,1,1,4]=>1 {{1,4},{2},{3},{5,6,7,9},{8}}=>[2,1,1,4,1]=>1 {{1,3},{2},{4,5,6,9},{7},{8}}=>[2,1,4,1,1]=>1 {{1,2},{3,4,5,9},{6},{7},{8}}=>[2,4,1,1,1]=>1 {{1,5},{2,3,4,6},{7,8}}=>[2,4,2]=>2 {{1,3,4},{2,8},{5,6,7}}=>[3,2,3]=>2 {{1,3,6,7},{2,8},{4,5}}=>[4,2,2]=>2 {{1,8},{2,3,6},{4,5,7}}=>[2,3,3]=>2 {{1,2,7},{3,4,5,6,8}}=>[3,5]=>3 {{1,2},{3,5,6},{4,7,8}}=>[2,3,3]=>2 {{1,5,6},{2,7,8},{3,4}}=>[3,3,2]=>2 {{1,4,5},{2,7,8},{3,6}}=>[3,3,2]=>2 {{1,7},{2,6},{3,4,5,8}}=>[2,2,4]=>2 {{1,2},{3,7},{4,5,6,8}}=>[2,2,4]=>2 {{1,7},{2,5,6,8},{3,4}}=>[2,4,2]=>2 {{1,2,3,7},{4},{5,8},{6}}=>[4,1,2,1]=>1 {{1,2,3,9},{4,5,6,7,8}}=>[4,5]=>4 {{1,2,3,4,5,9},{6,7,8}}=>[6,3]=>3 {{1,2,3,4,5,6},{7,9},{8}}=>[6,2,1]=>1 {{1,2,3,4,5},{6,7,9},{8}}=>[5,3,1]=>1 {{1,2,3},{4,5,6,7,9},{8}}=>[3,5,1]=>1 {{1,2},{3,4,5,6,7,9},{8}}=>[2,6,1]=>1 {{1,3,4,5,6,7},{2},{8,9}}=>[6,1,2]=>1 {{1,3,4},{2,6},{5,7,8}}=>[3,2,3]=>2 {{1,3,4,5,6},{2,8,9},{7}}=>[5,3,1]=>1 {{1,3,4,5,6},{2},{7,8,9}}=>[5,1,3]=>1 {{1,7},{2},{3,4,5,8},{6}}=>[2,1,4,1]=>1 {{1,4},{2,3,5,6},{7},{8}}=>[2,4,1,1]=>1 {{1,3,5},{2,4},{6},{7,8}}=>[3,2,1,2]=>1 {{1,4},{2,5,6,7},{3},{8}}=>[2,4,1,1]=>1 {{1,2,6},{3},{4},{5},{7},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,2,5},{3},{4},{6},{7},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1,2,4},{3},{5},{6},{7},{8},{9}}=>[3,1,1,1,1,1,1]=>1 {{1},{2},{3,4,5,7},{6,8}}=>[1,1,4,2]=>1 {{1,4,7},{2},{3},{5,6,8}}=>[3,1,1,3]=>1 {{1,6},{2,4,7,8},{3,5}}=>[2,4,2]=>2 {{1,3,4},{2,5},{6},{7,8}}=>[3,2,1,2]=>1 {{1,3},{2,4,5},{6},{7,8}}=>[2,3,1,2]=>1 {{1,4},{2,3,5},{6},{7,8}}=>[2,3,1,2]=>1 {{1,4,5},{2},{3,6,7},{8}}=>[3,1,3,1]=>1 {{1},{2,5},{3,4,6,7},{8}}=>[1,2,4,1]=>1 {{1},{2,4,5,6},{3,7},{8}}=>[1,4,2,1]=>1 {{1,4,5},{2},{3,6,8},{7}}=>[3,1,3,1]=>1 {{1,2},{3},{4},{5},{6},{7,9},{8}}=>[2,1,1,1,1,2,1]=>1 {{1,3},{2},{4},{5},{6},{7,9},{8}}=>[2,1,1,1,1,2,1]=>1 {{1},{2,3},{4},{5},{6},{7},{8,9}}=>[1,2,1,1,1,1,2]=>1 {{1},{2,3,6},{4},{5,8},{7}}=>[1,3,1,2,1]=>1 {{1},{2,3,7},{4},{5,8},{6}}=>[1,3,1,2,1]=>1 {{1},{2,4},{3,7},{5},{6,8}}=>[1,2,2,1,2]=>1 {{1},{2,5},{3},{4,6,8},{7}}=>[1,2,1,3,1]=>1 {{1},{2,5},{3},{4,6,7},{8}}=>[1,2,1,3,1]=>1 {{1,5,8},{2,3,7},{4,6}}=>[3,3,2]=>2 {{1,8},{2,5,6},{3,4,7}}=>[2,3,3]=>2 {{1,2},{3,4,6,8},{5,7}}=>[2,4,2]=>2 {{1,2,3,4,5,8,9},{6},{7}}=>[7,1,1]=>1 {{1,2,3,4,5,9},{6,7},{8}}=>[6,2,1]=>1 {{1,2,3,4,8,9},{5,7},{6}}=>[6,2,1]=>1 {{1,2,3,4,6,8,9},{5},{7}}=>[7,1,1]=>1 {{1,2,3,4,9},{5,8},{6,7}}=>[5,2,2]=>2 {{1,2,3,4,7,9},{5,6},{8}}=>[6,2,1]=>1 {{1,3},{2,6,7},{4,5},{8}}=>[2,3,2,1]=>1 {{1,3,7},{2,4,5},{6},{8}}=>[3,3,1,1]=>1 {{1,4,6,7,8},{2},{3,5}}=>[5,1,2]=>1 {{1,4},{2,3,6,8},{5,7}}=>[2,4,2]=>2 {{1,4,5},{2,3,6,7,8}}=>[3,5]=>3 {{1,6},{2},{3,4,5,7,8}}=>[2,1,5]=>1 {{1,4,5},{2,3,6},{7,8}}=>[3,3,2]=>2 {{1,4,5},{2,3,8},{6,7}}=>[3,3,2]=>2 {{1,4,7},{2,3,8},{5,6}}=>[3,3,2]=>2 {{1,3,4},{2,7},{5,6,8}}=>[3,2,3]=>2 {{1,3,6,8},{2,7},{4,5}}=>[4,2,2]=>2 {{1,2,8},{3,6},{4,5,7}}=>[3,2,3]=>2 {{1,5,6},{2,4},{3,7,8}}=>[3,2,3]=>2 {{1,7,8},{2,4,5},{3,6}}=>[3,3,2]=>2 {{1,2},{3,6,7},{4,5,8}}=>[2,3,3]=>2 {{1,6,7},{2,3},{4,5,8}}=>[3,2,3]=>2 {{1,6,7},{2,5,8},{3,4}}=>[3,3,2]=>2 {{1,4,8},{2,6,7},{3,5}}=>[3,3,2]=>2 {{1,5,6},{2,8},{3,4,7}}=>[3,2,3]=>2 {{1,6,7},{2,4,5},{3,8}}=>[3,3,2]=>2 {{1,9},{2},{3},{4},{5},{6,7},{8}}=>[2,1,1,1,1,2,1]=>1 {{1,9},{2},{3},{4},{5},{6,8},{7}}=>[2,1,1,1,1,2,1]=>1 {{1},{2,5},{3},{4},{6},{7},{8},{9}}=>[1,2,1,1,1,1,1,1]=>1 {{1},{2},{3,5},{4},{6},{7},{8},{9}}=>[1,1,2,1,1,1,1,1]=>1 {{1},{2},{3},{4,5},{6},{7},{8},{9}}=>[1,1,1,2,1,1,1,1]=>1 {{1,9},{2},{3},{4},{5},{6,7,8}}=>[2,1,1,1,1,3]=>1 {{1,6,8,9},{2},{3},{4},{5},{7}}=>[4,1,1,1,1,1]=>1 {{1,5},{2},{3},{4},{6},{7},{8,9}}=>[2,1,1,1,1,1,2]=>1 {{1,2,9},{3,6},{4},{5},{7},{8}}=>[3,2,1,1,1,1]=>1 {{1},{2,3},{4,5},{6},{7},{8},{9}}=>[1,2,2,1,1,1,1]=>1 {{1},{2},{3,4},{5},{6},{7},{8},{9}}=>[1,1,2,1,1,1,1,1]=>1 {{1,2,4},{3,6,7,8},{5}}=>[3,4,1]=>1 {{1,4,8},{2},{3,6},{5},{7}}=>[3,1,2,1,1]=>1 {{1,2,4},{3,5,6,8},{7}}=>[3,4,1]=>1 {{1,2,3,6},{4},{5,8},{7}}=>[4,1,2,1]=>1 {{1},{2,4},{3,5,6,8},{7}}=>[1,2,4,1]=>1 {{1},{2,5},{3,4,6},{7,8}}=>[1,2,3,2]=>1 {{1,2},{3},{4,7},{5,6,8}}=>[2,1,2,3]=>1 {{1,4},{2},{3},{5},{6,9},{7},{8}}=>[2,1,1,1,2,1,1]=>1 {{1,6,7},{2,3,5,8},{4}}=>[3,4,1]=>1 {{1,3,5,8},{2,4,6,7}}=>[4,4]=>4 {{1,2},{3},{4},{5},{6},{7,8},{9}}=>[2,1,1,1,1,2,1]=>1 {{1,4},{2,3,6},{5,7,8}}=>[2,3,3]=>2 {{1,5,7,8},{2,3,6},{4}}=>[4,3,1]=>1 {{1,2,3,6},{4},{5,7,8}}=>[4,1,3]=>1 {{1,5,7,8},{2},{3,4,6}}=>[4,1,3]=>1 {{1,3,4,6},{2},{5,7,8}}=>[4,1,3]=>1 {{1,2,4},{3,5,7,8},{6}}=>[3,4,1]=>1 {{1},{2,4,6},{3},{5,7},{8}}=>[1,3,1,2,1]=>1 {{1,4,6},{2,3,5,8},{7}}=>[3,4,1]=>1 {{1,6},{2,3,5,8},{4,7}}=>[2,4,2]=>2 {{1,3,6},{2,4,5,7,8}}=>[3,5]=>3 {{1,3,5},{2,7,8},{4,6}}=>[3,3,2]=>2 {{1,3,4},{2,5,7,8},{6}}=>[3,4,1]=>1 {{1,4,5,6},{2},{3,7,8}}=>[4,1,3]=>1 {{1,2,5,7,8},{3},{4,6}}=>[5,1,2]=>1 {{1},{2,3,6,8},{4,7},{5}}=>[1,4,2,1]=>1 {{1,3,6},{2,4},{5,7,8}}=>[3,2,3]=>2 {{1,4,8},{2,5,7},{3,6}}=>[3,3,2]=>2 {{1},{2,4,7},{3,5,6,8}}=>[1,3,4]=>1 {{1},{2,4,5,7},{3,6,8}}=>[1,4,3]=>1 {{1,2,6,8},{3},{4,5,7}}=>[4,1,3]=>1 {{1,4,6,8},{2,3,5},{7}}=>[4,3,1]=>1 {{1,3,6},{2,4,5,7},{8}}=>[3,4,1]=>1 {{1,4,7},{2,5},{3,6,8}}=>[3,2,3]=>2 {{1,2,5,7},{3,8},{4,6}}=>[4,2,2]=>2 {{1},{2,3,4,6,7},{5,8}}=>[1,5,2]=>1 {{1,2,3,4,5,7},{6},{8,9}}=>[6,1,2]=>1 {{1},{2,3,6},{4,7},{5},{8}}=>[1,3,2,1,1]=>1 {{1},{2,4,7},{3,8},{5},{6}}=>[1,3,2,1,1]=>1 {{1},{2,5,7},{3},{4,8},{6}}=>[1,3,1,2,1]=>1 {{1},{2,4,7},{3,5},{6},{8}}=>[1,3,2,1,1]=>1 {{1},{2,5,8},{3,6},{4},{7}}=>[1,3,2,1,1]=>1 {{1},{2,4,6,7},{3,5},{8}}=>[1,4,2,1]=>1 {{1,3},{2},{4,5,6,7,8,9}}=>[2,1,6]=>1 {{1,2,4},{3},{5,6,7,8,9}}=>[3,1,5]=>1 {{1,2,3,5},{4},{6,7,8,9}}=>[4,1,4]=>1 {{1,2,3,4,6},{5},{7,8,9}}=>[5,1,3]=>1