Identifier
Mp00080: to permutationPermutations
Mp00060: Permutations Robinson-Schensted tableau shape
Images
=>
Cc0009;cc-rep-0Cc0002;cc-rep-2
{{1}}=>[1]=>[1] {{1,2}}=>[2,1]=>[1,1] {{1},{2}}=>[1,2]=>[2] {{1,2,3}}=>[2,3,1]=>[2,1] {{1,2},{3}}=>[2,1,3]=>[2,1] {{1,3},{2}}=>[3,2,1]=>[1,1,1] {{1},{2,3}}=>[1,3,2]=>[2,1] {{1},{2},{3}}=>[1,2,3]=>[3] {{1,2,3,4}}=>[2,3,4,1]=>[3,1] {{1,2,3},{4}}=>[2,3,1,4]=>[3,1] {{1,2,4},{3}}=>[2,4,3,1]=>[2,1,1] {{1,2},{3,4}}=>[2,1,4,3]=>[2,2] {{1,2},{3},{4}}=>[2,1,3,4]=>[3,1] {{1,3,4},{2}}=>[3,2,4,1]=>[2,1,1] {{1,3},{2,4}}=>[3,4,1,2]=>[2,2] {{1,3},{2},{4}}=>[3,2,1,4]=>[2,1,1] {{1,4},{2,3}}=>[4,3,2,1]=>[1,1,1,1] {{1},{2,3,4}}=>[1,3,4,2]=>[3,1] {{1},{2,3},{4}}=>[1,3,2,4]=>[3,1] {{1,4},{2},{3}}=>[4,2,3,1]=>[2,1,1] {{1},{2,4},{3}}=>[1,4,3,2]=>[2,1,1] {{1},{2},{3,4}}=>[1,2,4,3]=>[3,1] {{1},{2},{3},{4}}=>[1,2,3,4]=>[4] {{1,2,3,4,5}}=>[2,3,4,5,1]=>[4,1] {{1,2,3,4},{5}}=>[2,3,4,1,5]=>[4,1] {{1,2,3,5},{4}}=>[2,3,5,4,1]=>[3,1,1] {{1,2,3},{4,5}}=>[2,3,1,5,4]=>[3,2] {{1,2,3},{4},{5}}=>[2,3,1,4,5]=>[4,1] {{1,2,4,5},{3}}=>[2,4,3,5,1]=>[3,1,1] {{1,2,4},{3,5}}=>[2,4,5,1,3]=>[3,2] {{1,2,4},{3},{5}}=>[2,4,3,1,5]=>[3,1,1] {{1,2,5},{3,4}}=>[2,5,4,3,1]=>[2,1,1,1] {{1,2},{3,4,5}}=>[2,1,4,5,3]=>[3,2] {{1,2},{3,4},{5}}=>[2,1,4,3,5]=>[3,2] {{1,2,5},{3},{4}}=>[2,5,3,4,1]=>[3,1,1] {{1,2},{3,5},{4}}=>[2,1,5,4,3]=>[2,2,1] {{1,2},{3},{4,5}}=>[2,1,3,5,4]=>[3,2] {{1,2},{3},{4},{5}}=>[2,1,3,4,5]=>[4,1] {{1,3,4,5},{2}}=>[3,2,4,5,1]=>[3,1,1] {{1,3,4},{2,5}}=>[3,5,4,1,2]=>[2,2,1] {{1,3,4},{2},{5}}=>[3,2,4,1,5]=>[3,1,1] {{1,3,5},{2,4}}=>[3,4,5,2,1]=>[3,1,1] {{1,3},{2,4,5}}=>[3,4,1,5,2]=>[3,2] {{1,3},{2,4},{5}}=>[3,4,1,2,5]=>[3,2] {{1,3,5},{2},{4}}=>[3,2,5,4,1]=>[2,2,1] {{1,3},{2,5},{4}}=>[3,5,1,4,2]=>[2,2,1] {{1,3},{2},{4,5}}=>[3,2,1,5,4]=>[2,2,1] {{1,3},{2},{4},{5}}=>[3,2,1,4,5]=>[3,1,1] {{1,4,5},{2,3}}=>[4,3,2,5,1]=>[2,1,1,1] {{1,4},{2,3,5}}=>[4,3,5,1,2]=>[2,2,1] {{1,4},{2,3},{5}}=>[4,3,2,1,5]=>[2,1,1,1] {{1,5},{2,3,4}}=>[5,3,4,2,1]=>[2,1,1,1] {{1},{2,3,4,5}}=>[1,3,4,5,2]=>[4,1] {{1},{2,3,4},{5}}=>[1,3,4,2,5]=>[4,1] {{1,5},{2,3},{4}}=>[5,3,2,4,1]=>[2,1,1,1] {{1},{2,3,5},{4}}=>[1,3,5,4,2]=>[3,1,1] {{1},{2,3},{4,5}}=>[1,3,2,5,4]=>[3,2] {{1},{2,3},{4},{5}}=>[1,3,2,4,5]=>[4,1] {{1,4,5},{2},{3}}=>[4,2,3,5,1]=>[3,1,1] {{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[2,2,1] {{1,4},{2},{3,5}}=>[4,2,5,1,3]=>[2,2,1] {{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>[3,1,1] {{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[1,1,1,1,1] {{1},{2,4,5},{3}}=>[1,4,3,5,2]=>[3,1,1] {{1},{2,4},{3,5}}=>[1,4,5,2,3]=>[3,2] {{1},{2,4},{3},{5}}=>[1,4,3,2,5]=>[3,1,1] {{1,5},{2},{3,4}}=>[5,2,4,3,1]=>[2,1,1,1] {{1},{2,5},{3,4}}=>[1,5,4,3,2]=>[2,1,1,1] {{1},{2},{3,4,5}}=>[1,2,4,5,3]=>[4,1] {{1},{2},{3,4},{5}}=>[1,2,4,3,5]=>[4,1] {{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[3,1,1] {{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>[3,1,1] {{1},{2},{3,5},{4}}=>[1,2,5,4,3]=>[3,1,1] {{1},{2},{3},{4,5}}=>[1,2,3,5,4]=>[4,1] {{1},{2},{3},{4},{5}}=>[1,2,3,4,5]=>[5] {{1,2,3,4,5,6}}=>[2,3,4,5,6,1]=>[5,1] {{1,2,3,4,5},{6}}=>[2,3,4,5,1,6]=>[5,1] {{1,2,3,4,6},{5}}=>[2,3,4,6,5,1]=>[4,1,1] {{1,2,3,4},{5,6}}=>[2,3,4,1,6,5]=>[4,2] {{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6]=>[5,1] {{1,2,3,5,6},{4}}=>[2,3,5,4,6,1]=>[4,1,1] {{1,2,3,5},{4,6}}=>[2,3,5,6,1,4]=>[4,2] {{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6]=>[4,1,1] {{1,2,3,6},{4,5}}=>[2,3,6,5,4,1]=>[3,1,1,1] {{1,2,3},{4,5,6}}=>[2,3,1,5,6,4]=>[4,2] {{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6]=>[4,2] {{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>[4,1,1] {{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4]=>[3,2,1] {{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5]=>[4,2] {{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6]=>[5,1] {{1,2,4,5,6},{3}}=>[2,4,3,5,6,1]=>[4,1,1] {{1,2,4,5},{3,6}}=>[2,4,6,5,1,3]=>[3,2,1] {{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6]=>[4,1,1] {{1,2,4,6},{3,5}}=>[2,4,5,6,3,1]=>[4,1,1] {{1,2,4},{3,5,6}}=>[2,4,5,1,6,3]=>[4,2] {{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6]=>[4,2] {{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>[3,2,1] {{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>[3,2,1] {{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5]=>[3,2,1] {{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6]=>[4,1,1] {{1,2,5,6},{3,4}}=>[2,5,4,3,6,1]=>[3,1,1,1] {{1,2,5},{3,4,6}}=>[2,5,4,6,1,3]=>[3,2,1] {{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6]=>[3,1,1,1] {{1,2,6},{3,4,5}}=>[2,6,4,5,3,1]=>[3,1,1,1] {{1,2},{3,4,5,6}}=>[2,1,4,5,6,3]=>[4,2] {{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6]=>[4,2] {{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>[3,1,1,1] {{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3]=>[3,2,1] {{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5]=>[3,3] {{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6]=>[4,2] {{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>[4,1,1] {{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[3,2,1] {{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>[3,2,1] {{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>[4,1,1] {{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[2,1,1,1,1] {{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3]=>[3,2,1] {{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4]=>[3,3] {{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6]=>[3,2,1] {{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>[3,1,1,1] {{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3]=>[2,2,1,1] {{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4]=>[4,2] {{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6]=>[4,2] {{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[4,1,1] {{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>[3,2,1] {{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4]=>[3,2,1] {{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5]=>[4,2] {{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6]=>[5,1] {{1,3,4,5,6},{2}}=>[3,2,4,5,6,1]=>[4,1,1] {{1,3,4,5},{2,6}}=>[3,6,4,5,1,2]=>[3,2,1] {{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6]=>[4,1,1] {{1,3,4,6},{2,5}}=>[3,5,4,6,2,1]=>[3,1,1,1] {{1,3,4},{2,5,6}}=>[3,5,4,1,6,2]=>[3,2,1] {{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6]=>[3,2,1] {{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>[3,2,1] {{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>[3,2,1] {{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5]=>[3,2,1] {{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6]=>[4,1,1] {{1,3,5,6},{2,4}}=>[3,4,5,2,6,1]=>[4,1,1] {{1,3,5},{2,4,6}}=>[3,4,5,6,1,2]=>[4,2] {{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6]=>[4,1,1] {{1,3,6},{2,4,5}}=>[3,4,6,5,2,1]=>[3,1,1,1] {{1,3},{2,4,5,6}}=>[3,4,1,5,6,2]=>[4,2] {{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6]=>[4,2] {{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>[3,2,1] {{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>[3,2,1] {{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5]=>[3,3] {{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6]=>[4,2] {{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>[3,2,1] {{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[2,2,1,1] {{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>[3,2,1] {{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>[3,2,1] {{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[3,1,1,1] {{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>[3,2,1] {{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>[3,3] {{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>[3,2,1] {{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>[2,2,1,1] {{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>[2,2,1,1] {{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4]=>[3,2,1] {{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6]=>[3,2,1] {{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[3,2,1] {{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[3,2,1] {{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>[2,2,2] {{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5]=>[3,2,1] {{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6]=>[4,1,1] {{1,4,5,6},{2,3}}=>[4,3,2,5,6,1]=>[3,1,1,1] {{1,4,5},{2,3,6}}=>[4,3,6,5,1,2]=>[2,2,2] {{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6]=>[3,1,1,1] {{1,4,6},{2,3,5}}=>[4,3,5,6,2,1]=>[3,1,1,1] {{1,4},{2,3,5,6}}=>[4,3,5,1,6,2]=>[3,2,1] {{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6]=>[3,2,1] {{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>[2,2,1,1] {{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>[2,2,2] {{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5]=>[2,2,1,1] {{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6]=>[3,1,1,1] {{1,5,6},{2,3,4}}=>[5,3,4,2,6,1]=>[3,1,1,1] {{1,5},{2,3,4,6}}=>[5,3,4,6,1,2]=>[3,2,1] {{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6]=>[3,1,1,1] {{1,6},{2,3,4,5}}=>[6,3,4,5,2,1]=>[3,1,1,1] {{1},{2,3,4,5,6}}=>[1,3,4,5,6,2]=>[5,1] {{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6]=>[5,1] {{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>[3,1,1,1] {{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2]=>[4,1,1] {{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5]=>[4,2] {{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6]=>[5,1] {{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>[3,1,1,1] {{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[2,2,2] {{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>[2,2,1,1] {{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>[3,1,1,1] {{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[2,1,1,1,1] {{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2]=>[4,1,1] {{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4]=>[4,2] {{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6]=>[4,1,1] {{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>[2,2,1,1] {{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2]=>[3,1,1,1] {{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4]=>[4,2] {{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6]=>[4,2] {{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[3,1,1,1] {{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>[4,1,1] {{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4]=>[3,2,1] {{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5]=>[4,2] {{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6]=>[5,1] {{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>[4,1,1] {{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[2,2,2] {{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>[2,2,2] {{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>[4,1,1] {{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[3,1,1,1] {{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[3,2,1] {{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[3,3] {{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[3,2,1] {{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>[3,2,1] {{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[2,2,1,1] {{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>[3,2,1] {{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>[3,2,1] {{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[3,2,1] {{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[2,2,2] {{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[2,2,2] {{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>[3,2,1] {{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>[4,1,1] {{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[2,1,1,1,1] {{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[2,2,1,1] {{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[2,2,1,1] {{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[2,1,1,1,1] {{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[2,1,1,1,1] {{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2]=>[4,1,1] {{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3]=>[3,2,1] {{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6]=>[4,1,1] {{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[2,2,1,1] {{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2]=>[4,1,1] {{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3]=>[4,2] {{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6]=>[4,2] {{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[2,1,1,1,1] {{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>[3,2,1] {{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>[3,2,1] {{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5]=>[3,2,1] {{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6]=>[4,1,1] {{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>[3,1,1,1] {{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[2,2,1,1] {{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>[3,2,1] {{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>[3,1,1,1] {{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[1,1,1,1,1,1] {{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2]=>[3,1,1,1] {{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3]=>[3,2,1] {{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6]=>[3,1,1,1] {{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>[3,1,1,1] {{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2]=>[3,1,1,1] {{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3]=>[5,1] {{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6]=>[5,1] {{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[3,1,1,1] {{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>[3,1,1,1] {{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3]=>[4,1,1] {{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5]=>[4,2] {{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6]=>[5,1] {{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[4,1,1] {{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[2,2,2] {{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[2,2,2] {{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[3,2,1] {{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[4,1,1] {{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[2,1,1,1,1] {{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>[4,1,1] {{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[3,2,1] {{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>[3,2,1] {{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>[4,1,1] {{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[2,1,1,1,1] {{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[2,1,1,1,1] {{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3]=>[4,1,1] {{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4]=>[4,2] {{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6]=>[4,1,1] {{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[3,1,1,1] {{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>[3,1,1,1] {{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3]=>[3,1,1,1] {{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4]=>[5,1] {{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6]=>[5,1] {{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[4,1,1] {{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[4,1,1] {{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>[4,1,1] {{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4]=>[4,1,1] {{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5]=>[5,1] {{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6]=>[6] {{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1]=>[6,1] {{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7]=>[6,1] {{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1]=>[5,1,1] {{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6]=>[5,2] {{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7]=>[6,1] {{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1]=>[5,1,1] {{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5]=>[5,2] {{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7]=>[5,1,1] {{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1]=>[4,1,1,1] {{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5]=>[5,2] {{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7]=>[5,2] {{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>[5,1,1] {{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5]=>[4,2,1] {{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6]=>[5,2] {{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7]=>[6,1] {{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1]=>[5,1,1] {{1,2,3,5,6},{4,7}}=>[2,3,5,7,6,1,4]=>[4,2,1] {{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7]=>[5,1,1] {{1,2,3,5,7},{4,6}}=>[2,3,5,6,7,4,1]=>[5,1,1] {{1,2,3,5},{4,6,7}}=>[2,3,5,6,1,7,4]=>[5,2] {{1,2,3,5},{4,6},{7}}=>[2,3,5,6,1,4,7]=>[5,2] {{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>[4,2,1] {{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>[4,2,1] {{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6]=>[4,2,1] {{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7]=>[5,1,1] {{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1]=>[4,1,1,1] {{1,2,3,6},{4,5,7}}=>[2,3,6,5,7,1,4]=>[4,2,1] {{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7]=>[4,1,1,1] {{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1]=>[4,1,1,1] {{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4]=>[5,2] {{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7]=>[5,2] {{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>[4,1,1,1] {{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4]=>[4,2,1] {{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6]=>[4,3] {{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7]=>[5,2] {{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>[5,1,1] {{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[4,2,1] {{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>[4,2,1] {{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>[5,1,1] {{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[3,1,1,1,1] {{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4]=>[4,2,1] {{1,2,3},{4,6},{5,7}}=>[2,3,1,6,7,4,5]=>[4,3] {{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7]=>[4,2,1] {{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>[4,1,1,1] {{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4]=>[3,2,1,1] {{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5]=>[5,2] {{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7]=>[5,2] {{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[5,1,1] {{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>[4,2,1] {{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5]=>[4,2,1] {{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6]=>[5,2] {{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7]=>[6,1] {{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1]=>[5,1,1] {{1,2,4,5,6},{3,7}}=>[2,4,7,5,6,1,3]=>[4,2,1] {{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7]=>[5,1,1] {{1,2,4,5,7},{3,6}}=>[2,4,6,5,7,3,1]=>[4,1,1,1] {{1,2,4,5},{3,6,7}}=>[2,4,6,5,1,7,3]=>[4,2,1] {{1,2,4,5},{3,6},{7}}=>[2,4,6,5,1,3,7]=>[4,2,1] {{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>[4,2,1] {{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>[4,2,1] {{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6]=>[4,2,1] {{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7]=>[5,1,1] {{1,2,4,6,7},{3,5}}=>[2,4,5,6,3,7,1]=>[5,1,1] {{1,2,4,6},{3,5,7}}=>[2,4,5,6,7,1,3]=>[5,2] {{1,2,4,6},{3,5},{7}}=>[2,4,5,6,3,1,7]=>[5,1,1] {{1,2,4,7},{3,5,6}}=>[2,4,5,7,6,3,1]=>[4,1,1,1] {{1,2,4},{3,5,6,7}}=>[2,4,5,1,6,7,3]=>[5,2] {{1,2,4},{3,5,6},{7}}=>[2,4,5,1,6,3,7]=>[5,2] {{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>[4,2,1] {{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>[4,2,1] {{1,2,4},{3,5},{6,7}}=>[2,4,5,1,3,7,6]=>[4,3] {{1,2,4},{3,5},{6},{7}}=>[2,4,5,1,3,6,7]=>[5,2] {{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>[4,2,1] {{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[3,2,1,1] {{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>[4,2,1] {{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>[4,2,1] {{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[4,1,1,1] {{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>[4,2,1] {{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>[4,3] {{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>[4,2,1] {{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>[3,2,1,1] {{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>[3,2,1,1] {{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5]=>[4,2,1] {{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7]=>[4,2,1] {{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[4,2,1] {{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[4,2,1] {{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>[3,2,2] {{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6]=>[4,2,1] {{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7]=>[5,1,1] {{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1]=>[4,1,1,1] {{1,2,5,6},{3,4,7}}=>[2,5,4,7,6,1,3]=>[3,2,2] {{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7]=>[4,1,1,1] {{1,2,5,7},{3,4,6}}=>[2,5,4,6,7,3,1]=>[4,1,1,1] {{1,2,5},{3,4,6,7}}=>[2,5,4,6,1,7,3]=>[4,2,1] {{1,2,5},{3,4,6},{7}}=>[2,5,4,6,1,3,7]=>[4,2,1] {{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>[3,2,1,1] {{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>[3,2,2] {{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6]=>[3,2,1,1] {{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7]=>[4,1,1,1] {{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1]=>[4,1,1,1] {{1,2,6},{3,4,5,7}}=>[2,6,4,5,7,1,3]=>[4,2,1] {{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7]=>[4,1,1,1] {{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1]=>[4,1,1,1] {{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3]=>[5,2] {{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7]=>[5,2] {{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>[4,1,1,1] {{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3]=>[4,2,1] {{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6]=>[4,3] {{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7]=>[5,2] {{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>[4,1,1,1] {{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[3,2,2] {{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>[3,2,1,1] {{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>[4,1,1,1] {{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[3,1,1,1,1] {{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3]=>[4,2,1] {{1,2},{3,4,6},{5,7}}=>[2,1,4,6,7,3,5]=>[4,3] {{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7]=>[4,2,1] {{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>[3,2,1,1] {{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3]=>[3,2,1,1] {{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5]=>[4,3] {{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7]=>[4,3] {{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[4,1,1,1] {{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>[4,2,1] {{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5]=>[3,3,1] {{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6]=>[4,3] {{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7]=>[5,2] {{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>[5,1,1] {{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[3,2,2] {{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>[3,2,2] {{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>[5,1,1] {{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[4,1,1,1] {{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[4,2,1] {{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[4,3] {{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[4,2,1] {{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>[4,2,1] {{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[3,2,1,1] {{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>[4,2,1] {{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>[4,2,1] {{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[4,2,1] {{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[3,2,2] {{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[3,2,2] {{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>[4,2,1] {{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>[5,1,1] {{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[3,1,1,1,1] {{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[3,2,1,1] {{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[3,2,1,1] {{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[3,1,1,1,1] {{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[3,1,1,1,1] {{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3]=>[4,2,1] {{1,2},{3,5,6},{4,7}}=>[2,1,5,7,6,3,4]=>[3,3,1] {{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7]=>[4,2,1] {{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[3,2,1,1] {{1,2},{3,5,7},{4,6}}=>[2,1,5,6,7,4,3]=>[4,2,1] {{1,2},{3,5},{4,6,7}}=>[2,1,5,6,3,7,4]=>[4,3] {{1,2},{3,5},{4,6},{7}}=>[2,1,5,6,3,4,7]=>[4,3] {{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[3,1,1,1,1] {{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>[3,3,1] {{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>[3,3,1] {{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6]=>[3,3,1] {{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7]=>[4,2,1] {{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>[4,1,1,1] {{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[3,2,1,1] {{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>[4,2,1] {{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>[4,1,1,1] {{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[2,1,1,1,1,1] {{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3]=>[3,2,1,1] {{1,2},{3,6},{4,5,7}}=>[2,1,6,5,7,3,4]=>[3,3,1] {{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7]=>[3,2,1,1] {{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>[4,1,1,1] {{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3]=>[3,2,1,1] {{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4]=>[5,2] {{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7]=>[5,2] {{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[4,1,1,1] {{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>[3,2,1,1] {{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4]=>[4,2,1] {{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6]=>[4,3] {{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7]=>[5,2] {{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[5,1,1] {{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[3,2,2] {{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[3,2,2] {{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[4,2,1] {{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[5,1,1] {{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[3,1,1,1,1] {{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>[4,2,1] {{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[3,3,1] {{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>[3,3,1] {{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>[4,2,1] {{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[3,1,1,1,1] {{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[2,2,1,1,1] {{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4]=>[4,2,1] {{1,2},{3},{4,6},{5,7}}=>[2,1,3,6,7,4,5]=>[4,3] {{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7]=>[4,2,1] {{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[4,1,1,1] {{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>[3,2,1,1] {{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4]=>[3,2,1,1] {{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5]=>[5,2] {{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7]=>[5,2] {{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[5,1,1] {{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[4,2,1] {{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>[4,2,1] {{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5]=>[4,2,1] {{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6]=>[5,2] {{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7]=>[6,1] {{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1]=>[5,1,1] {{1,3,4,5,6},{2,7}}=>[3,7,4,5,6,1,2]=>[4,2,1] {{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7]=>[5,1,1] {{1,3,4,5,7},{2,6}}=>[3,6,4,5,7,2,1]=>[4,1,1,1] {{1,3,4,5},{2,6,7}}=>[3,6,4,5,1,7,2]=>[4,2,1] {{1,3,4,5},{2,6},{7}}=>[3,6,4,5,1,2,7]=>[4,2,1] {{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>[4,2,1] {{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>[4,2,1] {{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6]=>[4,2,1] {{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7]=>[5,1,1] {{1,3,4,6,7},{2,5}}=>[3,5,4,6,2,7,1]=>[4,1,1,1] {{1,3,4,6},{2,5,7}}=>[3,5,4,6,7,1,2]=>[4,2,1] {{1,3,4,6},{2,5},{7}}=>[3,5,4,6,2,1,7]=>[4,1,1,1] {{1,3,4,7},{2,5,6}}=>[3,5,4,7,6,2,1]=>[3,2,1,1] {{1,3,4},{2,5,6,7}}=>[3,5,4,1,6,7,2]=>[4,2,1] {{1,3,4},{2,5,6},{7}}=>[3,5,4,1,6,2,7]=>[4,2,1] {{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>[3,2,1,1] {{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>[3,2,2] {{1,3,4},{2,5},{6,7}}=>[3,5,4,1,2,7,6]=>[3,3,1] {{1,3,4},{2,5},{6},{7}}=>[3,5,4,1,2,6,7]=>[4,2,1] {{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>[4,2,1] {{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[3,2,1,1] {{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>[4,2,1] {{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>[4,2,1] {{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[3,2,1,1] {{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>[4,2,1] {{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>[3,3,1] {{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>[4,2,1] {{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>[3,2,1,1] {{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>[3,2,1,1] {{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5]=>[4,2,1] {{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7]=>[4,2,1] {{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[4,2,1] {{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[4,2,1] {{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>[3,2,2] {{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6]=>[4,2,1] {{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7]=>[5,1,1] {{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1]=>[5,1,1] {{1,3,5,6},{2,4,7}}=>[3,4,5,7,6,1,2]=>[4,2,1] {{1,3,5,6},{2,4},{7}}=>[3,4,5,2,6,1,7]=>[5,1,1] {{1,3,5,7},{2,4,6}}=>[3,4,5,6,7,2,1]=>[5,1,1] {{1,3,5},{2,4,6,7}}=>[3,4,5,6,1,7,2]=>[5,2] {{1,3,5},{2,4,6},{7}}=>[3,4,5,6,1,2,7]=>[5,2] {{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>[4,2,1] {{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>[4,2,1] {{1,3,5},{2,4},{6,7}}=>[3,4,5,2,1,7,6]=>[4,2,1] {{1,3,5},{2,4},{6},{7}}=>[3,4,5,2,1,6,7]=>[5,1,1] {{1,3,6,7},{2,4,5}}=>[3,4,6,5,2,7,1]=>[4,1,1,1] {{1,3,6},{2,4,5,7}}=>[3,4,6,5,7,1,2]=>[4,2,1] {{1,3,6},{2,4,5},{7}}=>[3,4,6,5,2,1,7]=>[4,1,1,1] {{1,3,7},{2,4,5,6}}=>[3,4,7,5,6,2,1]=>[4,1,1,1] {{1,3},{2,4,5,6,7}}=>[3,4,1,5,6,7,2]=>[5,2] {{1,3},{2,4,5,6},{7}}=>[3,4,1,5,6,2,7]=>[5,2] {{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>[4,1,1,1] {{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>[4,2,1] {{1,3},{2,4,5},{6,7}}=>[3,4,1,5,2,7,6]=>[4,3] {{1,3},{2,4,5},{6},{7}}=>[3,4,1,5,2,6,7]=>[5,2] {{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>[4,2,1] {{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[4,2,1] {{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>[4,2,1] {{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>[4,2,1] {{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[3,1,1,1,1] {{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>[4,2,1] {{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>[4,3] {{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>[4,2,1] {{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>[3,2,1,1] {{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>[3,2,1,1] {{1,3},{2,4},{5,6,7}}=>[3,4,1,2,6,7,5]=>[4,3] {{1,3},{2,4},{5,6},{7}}=>[3,4,1,2,6,5,7]=>[4,3] {{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[4,2,1] {{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[4,2,1] {{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>[3,3,1] {{1,3},{2,4},{5},{6,7}}=>[3,4,1,2,5,7,6]=>[4,3] {{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7]=>[5,2] {{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>[4,2,1] {{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[3,2,1,1] {{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>[3,2,2] {{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>[4,2,1] {{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[3,1,1,1,1] {{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[3,2,1,1] {{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[3,3,1] {{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[3,2,1,1] {{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>[4,2,1] {{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[3,2,1,1] {{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>[4,2,1] {{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>[4,2,1] {{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[3,3,1] {{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[3,2,1,1] {{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[3,2,2] {{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>[3,3,1] {{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>[4,2,1] {{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[4,1,1,1] {{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[4,2,1] {{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[4,2,1] {{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[4,1,1,1] {{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[3,2,1,1] {{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>[4,2,1] {{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>[3,3,1] {{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>[4,2,1] {{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[3,2,1,1] {{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>[4,2,1] {{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>[4,3] {{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>[4,3] {{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[3,2,1,1] {{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[3,3,1] {{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[3,3,1] {{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>[3,3,1] {{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>[4,2,1] {{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>[3,2,1,1] {{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[2,2,1,1,1] {{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>[3,2,2] {{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>[3,2,1,1] {{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[3,1,1,1,1] {{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>[3,2,1,1] {{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>[3,3,1] {{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>[3,2,1,1] {{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>[3,2,1,1] {{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>[3,2,1,1] {{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4]=>[4,2,1] {{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7]=>[4,2,1] {{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[3,2,1,1] {{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[3,2,1,1] {{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>[3,2,2] {{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6]=>[3,3,1] {{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7]=>[4,2,1] {{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[4,2,1] {{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[3,2,1,1] {{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[3,2,2] {{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[3,3,1] {{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[4,2,1] {{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[3,2,1,1] {{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[4,2,1] {{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[3,3,1] {{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[3,3,1] {{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[4,2,1] {{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[2,2,1,1,1] {{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[2,2,1,1,1] {{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>[3,2,2] {{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>[3,3,1] {{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>[3,2,2] {{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[3,2,1,1] {{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[3,2,1,1] {{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>[2,2,2,1] {{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5]=>[4,2,1] {{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7]=>[4,2,1] {{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[4,2,1] {{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[4,2,1] {{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[3,2,2] {{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>[3,2,2] {{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6]=>[4,2,1] {{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7]=>[5,1,1] {{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1]=>[4,1,1,1] {{1,4,5,6},{2,3,7}}=>[4,3,7,5,6,1,2]=>[3,2,2] {{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7]=>[4,1,1,1] {{1,4,5,7},{2,3,6}}=>[4,3,6,5,7,2,1]=>[3,2,1,1] {{1,4,5},{2,3,6,7}}=>[4,3,6,5,1,7,2]=>[3,2,2] {{1,4,5},{2,3,6},{7}}=>[4,3,6,5,1,2,7]=>[3,2,2] {{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>[3,2,1,1] {{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>[3,2,2] {{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6]=>[3,2,1,1] {{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7]=>[4,1,1,1] {{1,4,6,7},{2,3,5}}=>[4,3,5,6,2,7,1]=>[4,1,1,1] {{1,4,6},{2,3,5,7}}=>[4,3,5,6,7,1,2]=>[4,2,1] {{1,4,6},{2,3,5},{7}}=>[4,3,5,6,2,1,7]=>[4,1,1,1] {{1,4,7},{2,3,5,6}}=>[4,3,5,7,6,2,1]=>[3,2,1,1] {{1,4},{2,3,5,6,7}}=>[4,3,5,1,6,7,2]=>[4,2,1] {{1,4},{2,3,5,6},{7}}=>[4,3,5,1,6,2,7]=>[4,2,1] {{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>[3,2,1,1] {{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>[3,2,2] {{1,4},{2,3,5},{6,7}}=>[4,3,5,1,2,7,6]=>[3,3,1] {{1,4},{2,3,5},{6},{7}}=>[4,3,5,1,2,6,7]=>[4,2,1] {{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>[3,2,1,1] {{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[2,2,2,1] {{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>[3,2,1,1] {{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>[3,2,1,1] {{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[3,2,1,1] {{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>[3,2,2] {{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>[3,3,1] {{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>[3,2,2] {{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>[2,2,2,1] {{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>[2,2,2,1] {{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5]=>[3,2,1,1] {{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7]=>[3,2,1,1] {{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[3,2,1,1] {{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[3,2,2] {{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>[2,2,2,1] {{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6]=>[3,2,1,1] {{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7]=>[4,1,1,1] {{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1]=>[4,1,1,1] {{1,5,6},{2,3,4,7}}=>[5,3,4,7,6,1,2]=>[3,2,2] {{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7]=>[4,1,1,1] {{1,5,7},{2,3,4,6}}=>[5,3,4,6,7,2,1]=>[4,1,1,1] {{1,5},{2,3,4,6,7}}=>[5,3,4,6,1,7,2]=>[4,2,1] {{1,5},{2,3,4,6},{7}}=>[5,3,4,6,1,2,7]=>[4,2,1] {{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>[3,2,1,1] {{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>[3,2,2] {{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6]=>[3,2,1,1] {{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7]=>[4,1,1,1] {{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1]=>[4,1,1,1] {{1,6},{2,3,4,5,7}}=>[6,3,4,5,7,1,2]=>[4,2,1] {{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7]=>[4,1,1,1] {{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1]=>[4,1,1,1] {{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2]=>[6,1] {{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7]=>[6,1] {{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>[4,1,1,1] {{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2]=>[5,1,1] {{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6]=>[5,2] {{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7]=>[6,1] {{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>[4,1,1,1] {{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[3,2,2] {{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>[3,2,1,1] {{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>[4,1,1,1] {{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[3,1,1,1,1] {{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2]=>[5,1,1] {{1},{2,3,4,6},{5,7}}=>[1,3,4,6,7,2,5]=>[5,2] {{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7]=>[5,1,1] {{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>[3,2,1,1] {{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2]=>[4,1,1,1] {{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5]=>[5,2] {{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7]=>[5,2] {{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[4,1,1,1] {{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>[5,1,1] {{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5]=>[4,2,1] {{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6]=>[5,2] {{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7]=>[6,1] {{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>[4,1,1,1] {{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[3,2,2] {{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>[2,2,2,1] {{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>[4,1,1,1] {{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[3,2,1,1] {{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[3,2,2] {{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[3,3,1] {{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[3,2,2] {{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>[3,2,1,1] {{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[2,2,2,1] {{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>[3,2,1,1] {{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>[3,2,1,1] {{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[3,2,1,1] {{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[3,2,2] {{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[2,2,2,1] {{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>[3,2,1,1] {{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>[4,1,1,1] {{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[3,1,1,1,1] {{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[3,2,1,1] {{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[3,2,1,1] {{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[3,1,1,1,1] {{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[3,1,1,1,1] {{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2]=>[5,1,1] {{1},{2,3,5,6},{4,7}}=>[1,3,5,7,6,2,4]=>[4,2,1] {{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7]=>[5,1,1] {{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[3,2,1,1] {{1},{2,3,5,7},{4,6}}=>[1,3,5,6,7,4,2]=>[5,1,1] {{1},{2,3,5},{4,6,7}}=>[1,3,5,6,2,7,4]=>[5,2] {{1},{2,3,5},{4,6},{7}}=>[1,3,5,6,2,4,7]=>[5,2] {{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[3,1,1,1,1] {{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>[4,2,1] {{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>[4,2,1] {{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6]=>[4,2,1] {{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7]=>[5,1,1] {{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>[3,2,1,1] {{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[2,2,2,1] {{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>[3,2,1,1] {{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>[3,2,1,1] {{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[2,1,1,1,1,1] {{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2]=>[4,1,1,1] {{1},{2,3,6},{4,5,7}}=>[1,3,6,5,7,2,4]=>[4,2,1] {{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7]=>[4,1,1,1] {{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>[3,2,1,1] {{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2]=>[4,1,1,1] {{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4]=>[5,2] {{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7]=>[5,2] {{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[3,2,1,1] {{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>[4,1,1,1] {{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4]=>[4,2,1] {{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6]=>[4,3] {{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7]=>[5,2] {{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[4,1,1,1] {{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[3,2,2] {{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[2,2,2,1] {{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[3,2,1,1] {{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[4,1,1,1] {{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[3,1,1,1,1] {{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>[5,1,1] {{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[4,2,1] {{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>[4,2,1] {{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>[5,1,1] {{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[2,2,1,1,1] {{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[3,1,1,1,1] {{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4]=>[4,2,1] {{1},{2,3},{4,6},{5,7}}=>[1,3,2,6,7,4,5]=>[4,3] {{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7]=>[4,2,1] {{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[3,2,1,1] {{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>[4,1,1,1] {{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4]=>[3,2,1,1] {{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5]=>[5,2] {{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7]=>[5,2] {{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[4,1,1,1] {{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[5,1,1] {{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>[4,2,1] {{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5]=>[4,2,1] {{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6]=>[5,2] {{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7]=>[6,1] {{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>[5,1,1] {{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[3,2,2] {{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>[3,2,2] {{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>[5,1,1] {{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[3,2,1,1] {{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[3,2,2] {{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[3,3,1] {{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[3,2,2] {{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>[3,2,1,1] {{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[2,2,1,1,1] {{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>[3,2,2] {{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>[3,2,2] {{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[4,2,1] {{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[3,2,2] {{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[3,2,2] {{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>[4,2,1] {{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>[5,1,1] {{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[4,1,1,1] {{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[4,2,1] {{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[3,2,1,1] {{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[4,1,1,1] {{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[3,2,1,1] {{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[4,2,1] {{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[3,3,1] {{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[4,2,1] {{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[4,2,1] {{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[4,2,1] {{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[4,3] {{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[4,3] {{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[3,2,1,1] {{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[3,2,2] {{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[3,3,1] {{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[3,3,1] {{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[4,2,1] {{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>[4,2,1] {{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[3,2,1,1] {{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>[4,2,1] {{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>[4,2,1] {{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[3,1,1,1,1] {{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[3,2,1,1] {{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[3,3,1] {{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[3,2,1,1] {{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>[3,2,1,1] {{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[3,2,1,1] {{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>[4,2,1] {{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>[4,2,1] {{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[3,3,1] {{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[3,2,1,1] {{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[3,2,2] {{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>[3,3,1] {{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>[4,2,1] {{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[4,2,1] {{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[2,2,2,1] {{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[2,2,2,1] {{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[4,2,1] {{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[4,2,1] {{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[3,2,1,1] {{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[3,2,2] {{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[3,3,1] {{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[3,3,1] {{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[3,2,2] {{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[3,2,1,1] {{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[2,2,1,1,1] {{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[3,2,2] {{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[3,3,1] {{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[3,2,2] {{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[3,2,1,1] {{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[2,2,2,1] {{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[2,2,2,1] {{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>[4,2,1] {{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>[4,2,1] {{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[4,2,1] {{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[3,2,2] {{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[3,2,2] {{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[3,2,2] {{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>[4,2,1] {{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>[5,1,1] {{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[3,1,1,1,1] {{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[2,2,2,1] {{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[2,2,2,1] {{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[3,1,1,1,1] {{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[3,1,1,1,1] {{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[3,2,1,1] {{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[3,2,2] {{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[3,2,1,1] {{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[3,2,1,1] {{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[3,2,1,1] {{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[3,2,1,1] {{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[3,2,1,1] {{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[2,2,1,1,1] {{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[2,2,2,1] {{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[2,2,2,1] {{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[2,2,1,1,1] {{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[3,1,1,1,1] {{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[3,1,1,1,1] {{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[3,2,1,1] {{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[2,2,2,1] {{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[3,1,1,1,1] {{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[3,1,1,1,1] {{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2]=>[5,1,1] {{1},{2,4,5,6},{3,7}}=>[1,4,7,5,6,2,3]=>[4,2,1] {{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7]=>[5,1,1] {{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[2,2,1,1,1] {{1},{2,4,5,7},{3,6}}=>[1,4,6,5,7,3,2]=>[4,1,1,1] {{1},{2,4,5},{3,6,7}}=>[1,4,6,5,2,7,3]=>[4,2,1] {{1},{2,4,5},{3,6},{7}}=>[1,4,6,5,2,3,7]=>[4,2,1] {{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[3,1,1,1,1] {{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>[4,2,1] {{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>[4,2,1] {{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6]=>[4,2,1] {{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7]=>[5,1,1] {{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[3,2,1,1] {{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[3,2,1,1] {{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[3,2,1,1] {{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[3,2,1,1] {{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[3,1,1,1,1] {{1},{2,4,6,7},{3,5}}=>[1,4,5,6,3,7,2]=>[5,1,1] {{1},{2,4,6},{3,5,7}}=>[1,4,5,6,7,2,3]=>[5,2] {{1},{2,4,6},{3,5},{7}}=>[1,4,5,6,3,2,7]=>[5,1,1] {{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[3,2,1,1] {{1},{2,4,7},{3,5,6}}=>[1,4,5,7,6,3,2]=>[4,1,1,1] {{1},{2,4},{3,5,6,7}}=>[1,4,5,2,6,7,3]=>[5,2] {{1},{2,4},{3,5,6},{7}}=>[1,4,5,2,6,3,7]=>[5,2] {{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[3,2,1,1] {{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>[4,2,1] {{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>[4,2,1] {{1},{2,4},{3,5},{6,7}}=>[1,4,5,2,3,7,6]=>[4,3] {{1},{2,4},{3,5},{6},{7}}=>[1,4,5,2,3,6,7]=>[5,2] {{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[3,1,1,1,1] {{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[2,2,2,1] {{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[2,2,2,1] {{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[2,2,1,1,1] {{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[3,1,1,1,1] {{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[2,2,1,1,1] {{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>[4,2,1] {{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[3,2,1,1] {{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>[4,2,1] {{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>[4,2,1] {{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[2,2,1,1,1] {{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[4,1,1,1] {{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>[4,2,1] {{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>[4,3] {{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>[4,2,1] {{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[2,2,1,1,1] {{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>[3,2,1,1] {{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>[3,2,1,1] {{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5]=>[4,2,1] {{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7]=>[4,2,1] {{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[3,1,1,1,1] {{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[4,2,1] {{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[4,2,1] {{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>[3,2,2] {{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6]=>[4,2,1] {{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7]=>[5,1,1] {{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>[4,1,1,1] {{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[2,2,2,1] {{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>[3,2,2] {{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>[4,1,1,1] {{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[3,1,1,1,1] {{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[3,2,1,1] {{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[3,3,1] {{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[3,2,1,1] {{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>[4,1,1,1] {{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[2,2,2,1] {{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>[4,2,1] {{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>[4,2,1] {{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[3,2,1,1] {{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[2,2,2,1] {{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[3,2,2] {{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>[3,2,1,1] {{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>[4,1,1,1] {{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[2,1,1,1,1,1] {{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[2,2,1,1,1] {{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[2,2,1,1,1] {{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[2,1,1,1,1,1] {{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[2,1,1,1,1,1] {{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2]=>[4,1,1,1] {{1},{2,5,6},{3,4,7}}=>[1,5,4,7,6,2,3]=>[3,2,2] {{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7]=>[4,1,1,1] {{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[2,2,1,1,1] {{1},{2,5,7},{3,4,6}}=>[1,5,4,6,7,3,2]=>[4,1,1,1] {{1},{2,5},{3,4,6,7}}=>[1,5,4,6,2,7,3]=>[4,2,1] {{1},{2,5},{3,4,6},{7}}=>[1,5,4,6,2,3,7]=>[4,2,1] {{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[2,1,1,1,1,1] {{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>[3,2,1,1] {{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>[3,2,2] {{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6]=>[3,2,1,1] {{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7]=>[4,1,1,1] {{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>[4,1,1,1] {{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[2,2,2,1] {{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>[4,2,1] {{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>[4,1,1,1] {{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[2,1,1,1,1,1] {{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2]=>[4,1,1,1] {{1},{2,6},{3,4,5,7}}=>[1,6,4,5,7,2,3]=>[4,2,1] {{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7]=>[4,1,1,1] {{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>[4,1,1,1] {{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2]=>[4,1,1,1] {{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3]=>[6,1] {{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7]=>[6,1] {{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[4,1,1,1] {{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>[4,1,1,1] {{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3]=>[5,1,1] {{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6]=>[5,2] {{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7]=>[6,1] {{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[4,1,1,1] {{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[2,2,2,1] {{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[3,2,2] {{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[3,2,1,1] {{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[4,1,1,1] {{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[2,1,1,1,1,1] {{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>[4,1,1,1] {{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[3,2,2] {{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>[3,2,1,1] {{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>[4,1,1,1] {{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[3,1,1,1,1] {{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[3,1,1,1,1] {{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3]=>[5,1,1] {{1},{2},{3,4,6},{5,7}}=>[1,2,4,6,7,3,5]=>[5,2] {{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7]=>[5,1,1] {{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[3,2,1,1] {{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>[3,2,1,1] {{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3]=>[4,1,1,1] {{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5]=>[5,2] {{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7]=>[5,2] {{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[4,1,1,1] {{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[4,1,1,1] {{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>[5,1,1] {{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5]=>[4,2,1] {{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6]=>[5,2] {{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7]=>[6,1] {{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[5,1,1] {{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[3,2,2] {{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[3,2,2] {{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[3,2,2] {{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[5,1,1] {{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[3,2,1,1] {{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[3,2,2] {{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[3,3,1] {{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[3,3,1] {{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[3,2,2] {{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[3,2,1,1] {{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[2,2,1,1,1] {{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[3,2,2] {{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[3,3,1] {{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[3,2,2] {{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[4,2,1] {{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[2,2,2,1] {{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[2,2,2,1] {{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[4,2,1] {{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[4,2,1] {{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[4,2,1] {{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[3,2,2] {{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[3,2,2] {{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[3,2,2] {{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[4,2,1] {{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[5,1,1] {{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[3,1,1,1,1] {{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[3,2,1,1] {{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[2,2,1,1,1] {{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[2,2,1,1,1] {{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[3,1,1,1,1] {{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[3,1,1,1,1] {{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>[5,1,1] {{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[3,2,2] {{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>[3,2,2] {{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>[5,1,1] {{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[2,2,1,1,1] {{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[4,1,1,1] {{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[4,2,1] {{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[4,3] {{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[4,2,1] {{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[2,2,1,1,1] {{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>[4,2,1] {{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[3,2,1,1] {{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>[4,2,1] {{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>[4,2,1] {{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[3,1,1,1,1] {{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[4,2,1] {{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[3,2,2] {{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[3,2,2] {{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>[4,2,1] {{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>[5,1,1] {{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[3,1,1,1,1] {{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[2,2,1,1,1] {{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[3,2,1,1] {{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[3,2,1,1] {{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[3,1,1,1,1] {{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1] {{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[3,1,1,1,1] {{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[3,2,1,1] {{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[3,2,1,1] {{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[3,1,1,1,1] {{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[3,1,1,1,1] {{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[3,1,1,1,1] {{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3]=>[5,1,1] {{1},{2},{3,5,6},{4,7}}=>[1,2,5,7,6,3,4]=>[4,2,1] {{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7]=>[5,1,1] {{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[3,2,1,1] {{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[3,2,1,1] {{1},{2},{3,5,7},{4,6}}=>[1,2,5,6,7,4,3]=>[5,1,1] {{1},{2},{3,5},{4,6,7}}=>[1,2,5,6,3,7,4]=>[5,2] {{1},{2},{3,5},{4,6},{7}}=>[1,2,5,6,3,4,7]=>[5,2] {{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[3,1,1,1,1] {{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[3,1,1,1,1] {{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>[4,2,1] {{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>[4,2,1] {{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6]=>[4,2,1] {{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7]=>[5,1,1] {{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[4,1,1,1] {{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[2,2,2,1] {{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[2,2,2,1] {{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[4,2,1] {{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[4,1,1,1] {{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[2,1,1,1,1,1] {{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>[4,1,1,1] {{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[3,2,1,1] {{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>[4,2,1] {{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>[4,1,1,1] {{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[2,1,1,1,1,1] {{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[2,1,1,1,1,1] {{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3]=>[4,1,1,1] {{1},{2},{3,6},{4,5,7}}=>[1,2,6,5,7,3,4]=>[4,2,1] {{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7]=>[4,1,1,1] {{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[4,1,1,1] {{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>[4,1,1,1] {{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3]=>[4,1,1,1] {{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4]=>[6,1] {{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7]=>[6,1] {{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[4,1,1,1] {{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[4,1,1,1] {{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>[4,1,1,1] {{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4]=>[5,1,1] {{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6]=>[5,2] {{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7]=>[6,1] {{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[5,1,1] {{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[3,2,2] {{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[3,2,2] {{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[3,2,2] {{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[4,2,1] {{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[5,1,1] {{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[3,1,1,1,1] {{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[5,1,1] {{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[3,2,2] {{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[3,2,2] {{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[4,2,1] {{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[5,1,1] {{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[3,1,1,1,1] {{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[3,1,1,1,1] {{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>[5,1,1] {{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[4,2,1] {{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>[4,2,1] {{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>[5,1,1] {{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[3,1,1,1,1] {{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[3,1,1,1,1] {{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[3,1,1,1,1] {{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4]=>[5,1,1] {{1},{2},{3},{4,6},{5,7}}=>[1,2,3,6,7,4,5]=>[5,2] {{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7]=>[5,1,1] {{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[4,1,1,1] {{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[4,1,1,1] {{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>[4,1,1,1] {{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4]=>[4,1,1,1] {{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5]=>[6,1] {{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7]=>[6,1] {{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[5,1,1] {{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[5,1,1] {{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[5,1,1] {{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>[5,1,1] {{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5]=>[5,1,1] {{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6]=>[6,1] {{1},{2},{3},{4},{5},{6},{7}}=>[1,2,3,4,5,6,7]=>[7] {{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7]=>[4,4] {{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7]=>[4,4] {{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7]=>[3,3,1,1] {{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>[3,3,1,1] {{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>[3,3,1,1] {{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6]=>[3,3,1,1] {{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[3,3,1,1] {{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>[3,3,1,1] {{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>[3,3,1,1] {{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>[3,3,1,1] {{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>[3,3,1,1] {{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[4,4] {{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>[4,4] {{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7]=>[4,4] {{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7]=>[3,3,1,1] {{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7]=>[3,3,1,1] {{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>[3,3,1,1] {{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>[3,3,1,1] {{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[2,2,1,1,1,1] {{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>[2,2,1,1,1,1] {{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[2,2,1,1,1,1] {{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>[2,2,1,1,1,1] {{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>[2,2,1,1,1,1] {{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[3,3,1,1] {{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>[3,3,1,1] {{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>[3,3,1,1] {{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>[3,3,1,1] {{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>[3,3,1,1] {{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>[3,3,1,1] {{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2]=>[3,3,1,1] {{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>[3,3,1,1] {{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>[2,2,2,2] {{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[2,2,2,2] {{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[2,2,2,2] {{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[2,2,1,1,1,1] {{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[2,2,1,1,1,1] {{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[2,2,2,2] {{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[2,2,2,2] {{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[3,3,1,1] {{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>[3,3,1,1] {{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>[3,3,1,1] {{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>[3,3,1,1] {{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>[3,3,1,1] {{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>[3,3,1,1] {{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>[3,3,1,1] {{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>[3,3,1,1] {{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[3,3,1,1] {{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[2,2,1,1,1,1] {{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>[2,2,1,1,1,1] {{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>[3,3,1,1] {{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[3,3,1,1] {{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[3,3,1,1] {{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[4,4] {{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[4,4] {{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[4,4] {{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[4,4] {{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>[4,4] {{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[4,4] {{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[4,4] {{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>[3,3,1,1] {{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[3,3,1,1] {{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>[3,3,1,1] {{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[3,3,1,1] {{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>[3,3,1,1] {{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>[3,3,1,1] {{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>[3,3,1,1] {{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>[3,3,1,1] {{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>[3,3,1,1] {{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>[4,4] {{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6]=>[4,4] {{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5]=>[3,3,1,1] {{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>[3,3,1,1] {{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>[2,2,2,2] {{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>[2,2,2,2] {{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>[2,2,2,2] {{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>[2,2,2,2] {{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[2,2,1,1,1,1] {{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[2,2,1,1,1,1] {{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>[2,2,2,2] {{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[2,2,2,2] {{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>[2,2,2,2] {{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>[3,3,1,1] {{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>[3,3,1,1] {{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4]=>[3,3,1,1] {{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>[3,3,1,1] {{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>[3,3,1,1] {{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[3,3,1,1] {{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[3,3,1,1] {{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[2,2,2,2] {{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[2,2,2,2] {{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>[2,2,1,1,1,1] {{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>[2,2,1,1,1,1] {{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>[2,2,1,1,1,1] {{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[3,3,1,1] {{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[3,3,1,1] {{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>[3,3,1,1] {{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>[3,3,1,1] {{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>[3,3,1,1] {{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[2,2,1,1,1,1] {{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[2,2,1,1,1,1] {{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[2,2,1,1,1,1] {{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[2,2,1,1,1,1] {{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>[2,2,1,1,1,1] {{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[2,2,1,1,1,1] {{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1] {{1,2},{3,4},{5,6},{7,8},{9,10}}=>[2,1,4,3,6,5,8,7,10,9]=>[5,5] {{1,6},{2,7},{3,8},{4,9},{5,10}}=>[6,7,8,9,10,1,2,3,4,5]=>[5,5] {{1},{2},{3},{4},{5},{6},{7},{8}}=>[1,2,3,4,5,6,7,8]=>[8] {{1},{2},{3},{4},{5},{6},{7,8}}=>[1,2,3,4,5,6,8,7]=>[7,1] {{1},{2},{3},{4},{5},{6,8},{7}}=>[1,2,3,4,5,8,7,6]=>[6,1,1] {{1},{2},{3},{4},{5},{6,7,8}}=>[1,2,3,4,5,7,8,6]=>[7,1] {{1},{2},{3},{4},{5,8},{6},{7}}=>[1,2,3,4,8,6,7,5]=>[6,1,1] {{1},{2},{3},{4},{5,7,8},{6}}=>[1,2,3,4,7,6,8,5]=>[6,1,1] {{1},{2},{3},{4},{5,8},{6,7}}=>[1,2,3,4,8,7,6,5]=>[5,1,1,1] {{1},{2},{3},{4},{5,6,8},{7}}=>[1,2,3,4,6,8,7,5]=>[6,1,1] {{1},{2},{3},{4},{5,6,7,8}}=>[1,2,3,4,6,7,8,5]=>[7,1] {{1},{2},{3},{4,8},{5},{6},{7}}=>[1,2,3,8,5,6,7,4]=>[6,1,1] {{1},{2},{3},{4,6,8},{5},{7}}=>[1,2,3,6,5,8,7,4]=>[5,2,1] {{1},{2},{3},{4,6,7,8},{5}}=>[1,2,3,6,5,7,8,4]=>[6,1,1] {{1},{2},{3},{4,7,8},{5,6}}=>[1,2,3,7,6,5,8,4]=>[5,1,1,1] {{1},{2},{3},{4,5,8},{6},{7}}=>[1,2,3,5,8,6,7,4]=>[6,1,1] {{1},{2},{3},{4,8},{5,6,7}}=>[1,2,3,8,6,7,5,4]=>[5,1,1,1] {{1},{2},{3},{4,5,6,8},{7}}=>[1,2,3,5,6,8,7,4]=>[6,1,1] {{1},{2},{3},{4,5,6,7,8}}=>[1,2,3,5,6,7,8,4]=>[7,1] {{1},{2},{3,4},{5,6},{7},{8}}=>[1,2,4,3,6,5,7,8]=>[6,2] {{1},{2},{3,4},{5,8},{6,7}}=>[1,2,4,3,8,7,6,5]=>[4,2,1,1] {{1},{2},{3,4},{5,6,7,8}}=>[1,2,4,3,6,7,8,5]=>[6,2] {{1},{2},{3,5},{4},{6,7,8}}=>[1,2,5,4,3,7,8,6]=>[5,2,1] {{1},{2},{3,8},{4},{5},{6},{7}}=>[1,2,8,4,5,6,7,3]=>[6,1,1] {{1},{2},{3,5,7,8},{4},{6}}=>[1,2,5,4,7,6,8,3]=>[5,2,1] {{1},{2},{3,8},{4},{5,6,7}}=>[1,2,8,4,6,7,5,3]=>[5,1,1,1] {{1},{2},{3,5,8},{4},{6,7}}=>[1,2,5,4,8,7,6,3]=>[4,2,1,1] {{1},{2},{3,5,6,7,8},{4}}=>[1,2,5,4,6,7,8,3]=>[6,1,1] {{1},{2},{3,4,5},{6,7,8}}=>[1,2,4,5,3,7,8,6]=>[6,2] {{1},{2},{3,6,7,8},{4,5}}=>[1,2,6,5,4,7,8,3]=>[5,1,1,1] {{1},{2},{3,7,8},{4,6},{5}}=>[1,2,7,6,5,4,8,3]=>[4,1,1,1,1] {{1},{2},{3,4,8},{5},{6},{7}}=>[1,2,4,8,5,6,7,3]=>[6,1,1] {{1},{2},{3,4,5,6},{7,8}}=>[1,2,4,5,6,3,8,7]=>[6,2] {{1},{2},{3,8},{4,7},{5,6}}=>[1,2,8,7,6,5,4,3]=>[3,1,1,1,1,1] {{1},{2},{3,4,7,8},{5,6}}=>[1,2,4,7,6,5,8,3]=>[5,1,1,1] {{1},{2},{3,4,5,8},{6},{7}}=>[1,2,4,5,8,6,7,3]=>[6,1,1] {{1},{2},{3,4,5,6,7},{8}}=>[1,2,4,5,6,7,3,8]=>[7,1] {{1},{2},{3,8},{4,5,6,7}}=>[1,2,8,5,6,7,4,3]=>[5,1,1,1] {{1},{2},{3,4,5,8},{6,7}}=>[1,2,4,5,8,7,6,3]=>[5,1,1,1] {{1},{2},{3,4,5,6,8},{7}}=>[1,2,4,5,6,8,7,3]=>[6,1,1] {{1},{2},{3,4,5,6,7,8}}=>[1,2,4,5,6,7,8,3]=>[7,1] {{1},{2,3},{4},{5},{6,7},{8}}=>[1,3,2,4,5,7,6,8]=>[6,2] {{1},{2,3},{4},{5,8},{6,7}}=>[1,3,2,4,8,7,6,5]=>[4,2,1,1] {{1},{2,3},{4},{5,6,7,8}}=>[1,3,2,4,6,7,8,5]=>[6,2] {{1},{2,3},{4,5},{6,7},{8}}=>[1,3,2,5,4,7,6,8]=>[5,3] {{1},{2,3},{4,5},{6,8},{7}}=>[1,3,2,5,4,8,7,6]=>[4,3,1] {{1},{2,3},{4,5},{6,7,8}}=>[1,3,2,5,4,7,8,6]=>[5,3] {{1},{2,3},{4,6,8},{5},{7}}=>[1,3,2,6,5,8,7,4]=>[4,3,1] {{1},{2,3},{4,6,7,8},{5}}=>[1,3,2,6,5,7,8,4]=>[5,2,1] {{1},{2,3},{4,5,6},{7,8}}=>[1,3,2,5,6,4,8,7]=>[5,3] {{1},{2,3},{4,7},{5,6},{8}}=>[1,3,2,7,6,5,4,8]=>[4,2,1,1] {{1},{2,3},{4,8},{5,6},{7}}=>[1,3,2,8,6,5,7,4]=>[4,2,1,1] {{1},{2,3},{4,7,8},{5,6}}=>[1,3,2,7,6,5,8,4]=>[4,2,1,1] {{1},{2,3},{4,8},{5,7},{6}}=>[1,3,2,8,7,6,5,4]=>[3,2,1,1,1] {{1},{2,3},{4,8},{5,6,7}}=>[1,3,2,8,6,7,5,4]=>[4,2,1,1] {{1},{2,3},{4,5,8},{6,7}}=>[1,3,2,5,8,7,6,4]=>[4,2,1,1] {{1},{2,3},{4,5,6,8},{7}}=>[1,3,2,5,6,8,7,4]=>[5,2,1] {{1},{2,3},{4,5,6,7,8}}=>[1,3,2,5,6,7,8,4]=>[6,2] {{1},{2,4},{3},{5},{6},{7,8}}=>[1,4,3,2,5,6,8,7]=>[5,2,1] {{1},{2,4},{3},{5},{6,8},{7}}=>[1,4,3,2,5,8,7,6]=>[4,2,2] {{1},{2,4},{3},{5},{6,7,8}}=>[1,4,3,2,5,7,8,6]=>[5,2,1] {{1},{2,4},{3},{5,7},{6},{8}}=>[1,4,3,2,7,6,5,8]=>[4,2,2] {{1},{2,4},{3},{5,7,8},{6}}=>[1,4,3,2,7,6,8,5]=>[4,2,2] {{1},{2,4},{3},{5,8},{6,7}}=>[1,4,3,2,8,7,6,5]=>[3,2,2,1] {{1},{2,4},{3},{5,6,7,8}}=>[1,4,3,2,6,7,8,5]=>[5,2,1] {{1},{2,5},{3},{4},{6,8},{7}}=>[1,5,3,4,2,8,7,6]=>[4,2,2] {{1},{2,8},{3},{4},{5},{6},{7}}=>[1,8,3,4,5,6,7,2]=>[6,1,1] {{1},{2,8},{3},{4},{5,6,7}}=>[1,8,3,4,6,7,5,2]=>[5,1,1,1] {{1},{2,5,6,7,8},{3},{4}}=>[1,5,3,4,6,7,8,2]=>[6,1,1] {{1},{2,6,8},{3},{4,5},{7}}=>[1,6,3,5,4,8,7,2]=>[4,2,1,1] {{1},{2,4,8},{3},{5},{6},{7}}=>[1,4,3,8,5,6,7,2]=>[5,2,1] {{1},{2,4,8},{3},{5},{6,7}}=>[1,4,3,8,5,7,6,2]=>[4,2,1,1] {{1},{2,4,6,8},{3},{5},{7}}=>[1,4,3,6,5,8,7,2]=>[4,3,1] {{1},{2,4,6,7,8},{3},{5}}=>[1,4,3,6,5,7,8,2]=>[5,2,1] {{1},{2,8},{3},{4,7},{5,6}}=>[1,8,3,7,6,5,4,2]=>[3,1,1,1,1,1] {{1},{2,4,8},{3},{5,6},{7}}=>[1,4,3,8,6,5,7,2]=>[4,2,1,1] {{1},{2,4,8},{3},{5,7},{6}}=>[1,4,3,8,7,6,5,2]=>[3,2,1,1,1] {{1},{2,4,8},{3},{5,6,7}}=>[1,4,3,8,6,7,5,2]=>[4,2,1,1] {{1},{2,4,5,6,7,8},{3}}=>[1,4,3,5,6,7,8,2]=>[6,1,1] {{1},{2,3,4},{5},{6,7,8}}=>[1,3,4,2,5,7,8,6]=>[6,2] {{1},{2,3,4},{5,6},{7,8}}=>[1,3,4,2,6,5,8,7]=>[5,3] {{1},{2,3,4},{5,6,7},{8}}=>[1,3,4,2,6,7,5,8]=>[6,2] {{1},{2,3,4},{5,8},{6,7}}=>[1,3,4,2,8,7,6,5]=>[4,2,1,1] {{1},{2,3,4},{5,6,8},{7}}=>[1,3,4,2,6,8,7,5]=>[5,2,1] {{1},{2,5},{3,4},{6,7},{8}}=>[1,5,4,3,2,7,6,8]=>[4,2,1,1] {{1},{2,5},{3,4},{6,8},{7}}=>[1,5,4,3,2,8,7,6]=>[3,2,2,1] {{1},{2,5},{3,4},{6,7,8}}=>[1,5,4,3,2,7,8,6]=>[4,2,1,1] {{1},{2,6,8},{3,4},{5},{7}}=>[1,6,4,3,5,8,7,2]=>[4,2,1,1] {{1},{2,8},{3,4},{5,6},{7}}=>[1,8,4,3,6,5,7,2]=>[4,2,1,1] {{1},{2,7,8},{3,4},{5,6}}=>[1,7,4,3,6,5,8,2]=>[4,2,1,1] {{1},{2,8},{3,4},{5,6,7}}=>[1,8,4,3,6,7,5,2]=>[4,2,1,1] {{1},{2,5,8},{3,4},{6,7}}=>[1,5,4,3,8,7,6,2]=>[3,2,2,1] {{1},{2,5,6,7,8},{3,4}}=>[1,5,4,3,6,7,8,2]=>[5,1,1,1] {{1},{2,3,5},{4},{6,7,8}}=>[1,3,5,4,2,7,8,6]=>[5,2,1] {{1},{2,6},{3,5},{4},{7,8}}=>[1,6,5,4,3,2,8,7]=>[3,2,1,1,1] {{1},{2,8},{3,5},{4},{6,7}}=>[1,8,5,4,3,7,6,2]=>[3,2,1,1,1] {{1},{2,6,8},{3,5},{4},{7}}=>[1,6,5,4,3,8,7,2]=>[3,2,1,1,1] {{1},{2,3,8},{4},{5},{6},{7}}=>[1,3,8,4,5,6,7,2]=>[6,1,1] {{1},{2,3,7,8},{4},{5},{6}}=>[1,3,7,4,5,6,8,2]=>[6,1,1] {{1},{2,3,6,7,8},{4},{5}}=>[1,3,6,4,5,7,8,2]=>[6,1,1] {{1},{2,8},{3,5,6},{4},{7}}=>[1,8,5,4,6,3,7,2]=>[4,1,1,1,1] {{1},{2,8},{3,7},{4},{5,6}}=>[1,8,7,4,6,5,3,2]=>[3,1,1,1,1,1] {{1},{2,3,5,7},{4},{6},{8}}=>[1,3,5,4,7,6,2,8]=>[5,2,1] {{1},{2,8},{3,5,7},{4},{6}}=>[1,8,5,4,7,6,3,2]=>[3,2,1,1,1] {{1},{2,3,5,7,8},{4},{6}}=>[1,3,5,4,7,6,8,2]=>[5,2,1] {{1},{2,8},{3,5,6,7},{4}}=>[1,8,5,4,6,7,3,2]=>[4,1,1,1,1] {{1},{2,6,8},{3,4,5},{7}}=>[1,6,4,5,3,8,7,2]=>[4,2,1,1] {{1},{2,3,6},{4,5},{7,8}}=>[1,3,6,5,4,2,8,7]=>[4,2,1,1] {{1},{2,7},{3,6},{4,5},{8}}=>[1,7,6,5,4,3,2,8]=>[3,1,1,1,1,1] {{1},{2,8},{3,6},{4,5},{7}}=>[1,8,6,5,4,3,7,2]=>[3,1,1,1,1,1] {{1},{2,7,8},{3,6},{4,5}}=>[1,7,6,5,4,3,8,2]=>[3,1,1,1,1,1] {{1},{2,8},{3,7},{4,5},{6}}=>[1,8,7,5,4,6,3,2]=>[3,1,1,1,1,1] {{1},{2,3,8},{4,5},{6},{7}}=>[1,3,8,5,4,6,7,2]=>[5,1,1,1] {{1},{2,3,6,7},{4,5},{8}}=>[1,3,6,5,4,7,2,8]=>[5,1,1,1] {{1},{2,8},{3,6,7},{4,5}}=>[1,8,6,5,4,7,3,2]=>[3,1,1,1,1,1] {{1},{2,3,8},{4,5},{6,7}}=>[1,3,8,5,4,7,6,2]=>[4,2,1,1] {{1},{2,8},{3,4,6},{5},{7}}=>[1,8,4,6,5,3,7,2]=>[4,1,1,1,1] {{1},{2,8},{3,7},{4,6},{5}}=>[1,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1] {{1},{2,3,4,8},{5},{6},{7}}=>[1,3,4,8,5,6,7,2]=>[6,1,1] {{1},{2,8},{3,4,6,7},{5}}=>[1,8,4,6,5,7,3,2]=>[4,1,1,1,1] {{1},{2,3,8},{4,6,7},{5}}=>[1,3,8,6,5,7,4,2]=>[4,1,1,1,1] {{1},{2,3,4,6,7,8},{5}}=>[1,3,4,6,5,7,8,2]=>[6,1,1] {{1},{2,8},{3,7},{4,5,6}}=>[1,8,7,5,6,4,3,2]=>[3,1,1,1,1,1] {{1},{2,8},{3,4,7},{5,6}}=>[1,8,4,7,6,5,3,2]=>[3,1,1,1,1,1] {{1},{2,3,8},{4,7},{5,6}}=>[1,3,8,7,6,5,4,2]=>[3,1,1,1,1,1] {{1},{2,3,4,5,7},{6},{8}}=>[1,3,4,5,7,6,2,8]=>[6,1,1] {{1},{2,3,8},{4,5,7},{6}}=>[1,3,8,5,7,6,4,2]=>[4,1,1,1,1] {{1},{2,3,4,8},{5,7},{6}}=>[1,3,4,8,7,6,5,2]=>[4,1,1,1,1] {{1},{2,3,4,5,8},{6},{7}}=>[1,3,4,5,8,6,7,2]=>[6,1,1] {{1},{2,3,4,5,7,8},{6}}=>[1,3,4,5,7,6,8,2]=>[6,1,1] {{1},{2,8},{3,4,5,6,7}}=>[1,8,4,5,6,7,3,2]=>[5,1,1,1] {{1},{2,3,4,5,8},{6,7}}=>[1,3,4,5,8,7,6,2]=>[5,1,1,1] {{1},{2,3,4,5,6,8},{7}}=>[1,3,4,5,6,8,7,2]=>[6,1,1] {{1},{2,3,4,5,6,7,8}}=>[1,3,4,5,6,7,8,2]=>[7,1] {{1,2},{3},{4},{5},{6},{7},{8}}=>[2,1,3,4,5,6,7,8]=>[7,1] {{1,2},{3},{4},{5},{6},{7,8}}=>[2,1,3,4,5,6,8,7]=>[6,2] {{1,2},{3},{4},{5,6},{7},{8}}=>[2,1,3,4,6,5,7,8]=>[6,2] {{1,2},{3},{4},{5,8},{6,7}}=>[2,1,3,4,8,7,6,5]=>[4,2,1,1] {{1,2},{3},{4},{5,6,7,8}}=>[2,1,3,4,6,7,8,5]=>[6,2] {{1,2},{3},{4,5},{6,7,8}}=>[2,1,3,5,4,7,8,6]=>[5,3] {{1,2},{3},{4,5,6},{7,8}}=>[2,1,3,5,6,4,8,7]=>[5,3] {{1,2},{3,4},{5},{6},{7},{8}}=>[2,1,4,3,5,6,7,8]=>[6,2] {{1,2},{3,4},{5},{6,7,8}}=>[2,1,4,3,5,7,8,6]=>[5,3] {{1,2},{3,4},{5,6},{7},{8}}=>[2,1,4,3,6,5,7,8]=>[5,3] {{1,2},{3,4},{5,7,8},{6}}=>[2,1,4,3,7,6,8,5]=>[4,3,1] {{1,2},{3,4},{5,6,8},{7}}=>[2,1,4,3,6,8,7,5]=>[4,3,1] {{1,2},{3,4},{5,6,7,8}}=>[2,1,4,3,6,7,8,5]=>[5,3] {{1,2},{3,5},{4},{6},{7},{8}}=>[2,1,5,4,3,6,7,8]=>[5,2,1] {{1,2},{3,6,7,8},{4},{5}}=>[2,1,6,4,5,7,8,3]=>[5,2,1] {{1,2},{3,5,6},{4},{7,8}}=>[2,1,5,4,6,3,8,7]=>[4,3,1] {{1,2},{3,7,8},{4},{5,6}}=>[2,1,7,4,6,5,8,3]=>[4,2,1,1] {{1,2},{3,5,7,8},{4},{6}}=>[2,1,5,4,7,6,8,3]=>[4,3,1] {{1,2},{3,8},{4},{5,6,7}}=>[2,1,8,4,6,7,5,3]=>[4,2,1,1] {{1,2},{3,5,8},{4},{6,7}}=>[2,1,5,4,8,7,6,3]=>[3,3,1,1] {{1,2},{3,5,6,8},{4},{7}}=>[2,1,5,4,6,8,7,3]=>[4,3,1] {{1,2},{3,5,6,7,8},{4}}=>[2,1,5,4,6,7,8,3]=>[5,2,1] {{1,2},{3,4,5},{6},{7},{8}}=>[2,1,4,5,3,6,7,8]=>[6,2] {{1,2},{3,6,8},{4,5},{7}}=>[2,1,6,5,4,8,7,3]=>[3,3,1,1] {{1,2},{3,4,6},{5},{7,8}}=>[2,1,4,6,5,3,8,7]=>[4,3,1] {{1,2},{3,7,8},{4,6},{5}}=>[2,1,7,6,5,4,8,3]=>[3,2,1,1,1] {{1,2},{3,8},{4,6,7},{5}}=>[2,1,8,6,5,7,4,3]=>[3,2,1,1,1] {{1,2},{3,4,8},{5},{6,7}}=>[2,1,4,8,5,7,6,3]=>[4,2,1,1] {{1,2},{3,4,6,8},{5},{7}}=>[2,1,4,6,5,8,7,3]=>[4,3,1] {{1,2},{3,4,5,6},{7,8}}=>[2,1,4,5,6,3,8,7]=>[5,3] {{1,2},{3,8},{4,5,6},{7}}=>[2,1,8,5,6,4,7,3]=>[4,2,1,1] {{1,2},{3,4,8},{5,6},{7}}=>[2,1,4,8,6,5,7,3]=>[4,2,1,1] {{1,2},{3,8},{4,5,7},{6}}=>[2,1,8,5,7,6,4,3]=>[3,2,1,1,1] {{1,2},{3,4,8},{5,7},{6}}=>[2,1,4,8,7,6,5,3]=>[3,2,1,1,1] {{1,2},{3,4,5,8},{6},{7}}=>[2,1,4,5,8,6,7,3]=>[5,2,1] {{1,2},{3,4,8},{5,6,7}}=>[2,1,4,8,6,7,5,3]=>[4,2,1,1] {{1,2},{3,4,5,8},{6,7}}=>[2,1,4,5,8,7,6,3]=>[4,2,1,1] {{1,2},{3,4,5,6,8},{7}}=>[2,1,4,5,6,8,7,3]=>[5,2,1] {{1,2},{3,4,5,6,7,8}}=>[2,1,4,5,6,7,8,3]=>[6,2] {{1,3},{2},{4},{5},{6},{7},{8}}=>[3,2,1,4,5,6,7,8]=>[6,1,1] {{1,3},{2},{4},{5},{6},{7,8}}=>[3,2,1,4,5,6,8,7]=>[5,2,1] {{1,3},{2},{4},{5},{6,8},{7}}=>[3,2,1,4,5,8,7,6]=>[4,2,2] {{1,3},{2},{4},{5},{6,7,8}}=>[3,2,1,4,5,7,8,6]=>[5,2,1] {{1,3},{2},{4},{5,7,8},{6}}=>[3,2,1,4,7,6,8,5]=>[4,2,2] {{1,3},{2},{4},{5,8},{6,7}}=>[3,2,1,4,8,7,6,5]=>[3,2,2,1] {{1,3},{2},{4},{5,6,7,8}}=>[3,2,1,4,6,7,8,5]=>[5,2,1] {{1,3},{2},{4,5},{6,7},{8}}=>[3,2,1,5,4,7,6,8]=>[4,3,1] {{1,3},{2},{4,8},{5},{6,7}}=>[3,2,1,8,5,7,6,4]=>[3,2,2,1] {{1,3},{2},{4,6,8},{5},{7}}=>[3,2,1,6,5,8,7,4]=>[3,3,2] {{1,3},{2},{4,6,7,8},{5}}=>[3,2,1,6,5,7,8,4]=>[4,2,2] {{1,3},{2},{4,7},{5,6},{8}}=>[3,2,1,7,6,5,4,8]=>[3,2,2,1] {{1,3},{2},{4,8},{5,6},{7}}=>[3,2,1,8,6,5,7,4]=>[3,2,2,1] {{1,3},{2},{4,7,8},{5,6}}=>[3,2,1,7,6,5,8,4]=>[3,2,2,1] {{1,3},{2},{4,8},{5,7},{6}}=>[3,2,1,8,7,6,5,4]=>[2,2,2,1,1] {{1,3},{2},{4,5,7,8},{6}}=>[3,2,1,5,7,6,8,4]=>[4,2,2] {{1,3},{2},{4,8},{5,6,7}}=>[3,2,1,8,6,7,5,4]=>[3,2,2,1] {{1,3},{2},{4,5,8},{6,7}}=>[3,2,1,5,8,7,6,4]=>[3,2,2,1] {{1,3},{2},{4,5,6,8},{7}}=>[3,2,1,5,6,8,7,4]=>[4,2,2] {{1,3},{2},{4,5,6,7,8}}=>[3,2,1,5,6,7,8,4]=>[5,2,1] {{1,4},{2},{3},{5},{6},{7},{8}}=>[4,2,3,1,5,6,7,8]=>[6,1,1] {{1,4},{2},{3},{5,6},{7,8}}=>[4,2,3,1,6,5,8,7]=>[4,3,1] {{1,4},{2},{3},{5,8},{6},{7}}=>[4,2,3,1,8,6,7,5]=>[4,2,2] {{1,4},{2},{3},{5,8},{6,7}}=>[4,2,3,1,8,7,6,5]=>[3,2,2,1] {{1,4},{2},{3},{5,6,7,8}}=>[4,2,3,1,6,7,8,5]=>[5,2,1] {{1,5},{2},{3},{4},{6},{7},{8}}=>[5,2,3,4,1,6,7,8]=>[6,1,1] {{1,6},{2},{3},{4},{5},{7},{8}}=>[6,2,3,4,5,1,7,8]=>[6,1,1] {{1,6},{2},{3},{4},{5},{7,8}}=>[6,2,3,4,5,1,8,7]=>[5,2,1] {{1,7},{2},{3},{4},{5},{6},{8}}=>[7,2,3,4,5,6,1,8]=>[6,1,1] {{1,8},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,1]=>[6,1,1] {{1,7,8},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,8,1]=>[6,1,1] {{1,8},{2},{3},{4},{5},{6,7}}=>[8,2,3,4,5,7,6,1]=>[5,1,1,1] {{1,6,7,8},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,1]=>[6,1,1] {{1,5,7},{2},{3},{4},{6},{8}}=>[5,2,3,4,7,6,1,8]=>[5,2,1] {{1,8},{2},{3},{4},{5,7},{6}}=>[8,2,3,4,7,6,5,1]=>[4,1,1,1,1] {{1,5,6,7,8},{2},{3},{4}}=>[5,2,3,4,6,7,8,1]=>[6,1,1] {{1,4,5},{2},{3},{6,8},{7}}=>[4,2,3,5,1,8,7,6]=>[4,2,2] {{1,8},{2},{3},{4,5},{6},{7}}=>[8,2,3,5,4,6,7,1]=>[5,1,1,1] {{1,6,7,8},{2},{3},{4,5}}=>[6,2,3,5,4,7,8,1]=>[5,1,1,1] {{1,4,5,6},{2},{3},{7,8}}=>[4,2,3,5,6,1,8,7]=>[5,2,1] {{1,7},{2},{3},{4,5,6},{8}}=>[7,2,3,5,6,4,1,8]=>[5,1,1,1] {{1,4,7,8},{2},{3},{5,6}}=>[4,2,3,7,6,5,8,1]=>[4,2,1,1] {{1,4,5,6,7},{2},{3},{8}}=>[4,2,3,5,6,7,1,8]=>[6,1,1] {{1,4,5,8},{2},{3},{6,7}}=>[4,2,3,5,8,7,6,1]=>[4,2,1,1] {{1,4,5,6,8},{2},{3},{7}}=>[4,2,3,5,6,8,7,1]=>[5,2,1] {{1,4,5,6,7,8},{2},{3}}=>[4,2,3,5,6,7,8,1]=>[6,1,1] {{1,3,4},{2},{5},{6},{7},{8}}=>[3,2,4,1,5,6,7,8]=>[6,1,1] {{1,3,4},{2},{5},{6},{7,8}}=>[3,2,4,1,5,6,8,7]=>[5,2,1] {{1,3,4},{2},{5},{6,8},{7}}=>[3,2,4,1,5,8,7,6]=>[4,2,2] {{1,3,4},{2},{5},{6,7,8}}=>[3,2,4,1,5,7,8,6]=>[5,2,1] {{1,3,4},{2},{5,6},{7,8}}=>[3,2,4,1,6,5,8,7]=>[4,3,1] {{1,3,4},{2},{5,7,8},{6}}=>[3,2,4,1,7,6,8,5]=>[4,2,2] {{1,3,4},{2},{5,8},{6,7}}=>[3,2,4,1,8,7,6,5]=>[3,2,2,1] {{1,3,4},{2},{5,6,8},{7}}=>[3,2,4,1,6,8,7,5]=>[4,2,2] {{1,3,4},{2},{5,6,7,8}}=>[3,2,4,1,6,7,8,5]=>[5,2,1] {{1,5},{2},{3,4},{6},{7},{8}}=>[5,2,4,3,1,6,7,8]=>[5,1,1,1] {{1,5},{2},{3,4},{6},{7,8}}=>[5,2,4,3,1,6,8,7]=>[4,2,1,1] {{1,5},{2},{3,4},{6,8},{7}}=>[5,2,4,3,1,8,7,6]=>[3,2,2,1] {{1,5,6},{2},{3,4},{7,8}}=>[5,2,4,3,6,1,8,7]=>[4,2,1,1] {{1,7,8},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,8,1]=>[4,2,1,1] {{1,5,7},{2},{3,4},{6},{8}}=>[5,2,4,3,7,6,1,8]=>[4,2,1,1] {{1,5,7,8},{2},{3,4},{6}}=>[5,2,4,3,7,6,8,1]=>[4,2,1,1] {{1,8},{2},{3,4},{5,6,7}}=>[8,2,4,3,6,7,5,1]=>[4,2,1,1] {{1,5,8},{2},{3,4},{6,7}}=>[5,2,4,3,8,7,6,1]=>[3,2,2,1] {{1,3,5},{2},{4},{6},{7},{8}}=>[3,2,5,4,1,6,7,8]=>[5,2,1] {{1,3,5},{2},{4},{6},{7,8}}=>[3,2,5,4,1,6,8,7]=>[4,3,1] {{1,3,5},{2},{4},{6,7},{8}}=>[3,2,5,4,1,7,6,8]=>[4,3,1] {{1,3,5},{2},{4},{6,8},{7}}=>[3,2,5,4,1,8,7,6]=>[3,3,2] {{1,3,5},{2},{4},{6,7,8}}=>[3,2,5,4,1,7,8,6]=>[4,3,1] {{1,6},{2},{3,5},{4},{7,8}}=>[6,2,5,4,3,1,8,7]=>[3,2,1,1,1] {{1,6,7,8},{2},{3,5},{4}}=>[6,2,5,4,3,7,8,1]=>[4,1,1,1,1] {{1,3,7},{2},{4},{5},{6},{8}}=>[3,2,7,4,5,6,1,8]=>[5,2,1] {{1,3,8},{2},{4},{5},{6},{7}}=>[3,2,8,4,5,6,7,1]=>[5,2,1] {{1,3,5,6},{2},{4},{7,8}}=>[3,2,5,4,6,1,8,7]=>[4,3,1] {{1,7,8},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,8,1]=>[4,1,1,1,1] {{1,3,7},{2},{4},{5,6},{8}}=>[3,2,7,4,6,5,1,8]=>[4,2,1,1] {{1,3,7,8},{2},{4},{5,6}}=>[3,2,7,4,6,5,8,1]=>[4,2,1,1] {{1,3,5,7},{2},{4},{6},{8}}=>[3,2,5,4,7,6,1,8]=>[4,3,1] {{1,3,5,7,8},{2},{4},{6}}=>[3,2,5,4,7,6,8,1]=>[4,3,1] {{1,3,5,6,8},{2},{4},{7}}=>[3,2,5,4,6,8,7,1]=>[4,3,1] {{1,3,5,6,7,8},{2},{4}}=>[3,2,5,4,6,7,8,1]=>[5,2,1] {{1,3,4,5},{2},{6,8},{7}}=>[3,2,4,5,1,8,7,6]=>[4,2,2] {{1,7,8},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,8,1]=>[5,1,1,1] {{1,8},{2},{3,4,5},{6,7}}=>[8,2,4,5,3,7,6,1]=>[4,2,1,1] {{1,3,6},{2},{4,5},{7,8}}=>[3,2,6,5,4,1,8,7]=>[3,3,1,1] {{1,7},{2},{3,6},{4,5},{8}}=>[7,2,6,5,4,3,1,8]=>[3,1,1,1,1,1] {{1,7,8},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,8,1]=>[3,1,1,1,1,1] {{1,3,7},{2},{4,5},{6},{8}}=>[3,2,7,5,4,6,1,8]=>[4,2,1,1] {{1,8},{2},{3,6,7},{4,5}}=>[8,2,6,5,4,7,3,1]=>[3,1,1,1,1,1] {{1,3,8},{2},{4,5},{6,7}}=>[3,2,8,5,4,7,6,1]=>[3,3,1,1] {{1,3,6,8},{2},{4,5},{7}}=>[3,2,6,5,4,8,7,1]=>[3,3,1,1] {{1,7,8},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,8,1]=>[4,1,1,1,1] {{1,3,7},{2},{4,6},{5},{8}}=>[3,2,7,6,5,4,1,8]=>[3,2,1,1,1] {{1,3,7,8},{2},{4,6},{5}}=>[3,2,7,6,5,4,8,1]=>[3,2,1,1,1] {{1,3,4,7,8},{2},{5},{6}}=>[3,2,4,7,5,6,8,1]=>[5,2,1] {{1,3,8},{2},{4,6,7},{5}}=>[3,2,8,6,5,7,4,1]=>[3,2,1,1,1] {{1,3,4,6,8},{2},{5},{7}}=>[3,2,4,6,5,8,7,1]=>[4,3,1] {{1,3,4,5,6},{2},{7},{8}}=>[3,2,4,5,6,1,7,8]=>[6,1,1] {{1,3,7},{2},{4,5,6},{8}}=>[3,2,7,5,6,4,1,8]=>[4,2,1,1] {{1,3,8},{2},{4,5,6},{7}}=>[3,2,8,5,6,4,7,1]=>[4,2,1,1] {{1,8},{2},{3,4,7},{5,6}}=>[8,2,4,7,6,5,3,1]=>[3,1,1,1,1,1] {{1,3,8},{2},{4,7},{5,6}}=>[3,2,8,7,6,5,4,1]=>[2,2,1,1,1,1] {{1,8},{2},{3,4,5,7},{6}}=>[8,2,4,5,7,6,3,1]=>[4,1,1,1,1] {{1,3,8},{2},{4,5,7},{6}}=>[3,2,8,5,7,6,4,1]=>[3,2,1,1,1] {{1,3,4,8},{2},{5,7},{6}}=>[3,2,4,8,7,6,5,1]=>[3,2,1,1,1] {{1,3,4,5,7,8},{2},{6}}=>[3,2,4,5,7,6,8,1]=>[5,2,1] {{1,3,4,5,6,7},{2},{8}}=>[3,2,4,5,6,7,1,8]=>[6,1,1] {{1,8},{2},{3,4,5,6,7}}=>[8,2,4,5,6,7,3,1]=>[5,1,1,1] {{1,3,4,5,6,8},{2},{7}}=>[3,2,4,5,6,8,7,1]=>[5,2,1] {{1,3,4,5,6,7,8},{2}}=>[3,2,4,5,6,7,8,1]=>[6,1,1] {{1,2,3},{4},{5},{6},{7},{8}}=>[2,3,1,4,5,6,7,8]=>[7,1] {{1,2,3},{4},{5},{6,7,8}}=>[2,3,1,4,5,7,8,6]=>[6,2] {{1,2,3},{4},{5,6},{7,8}}=>[2,3,1,4,6,5,8,7]=>[5,3] {{1,2,3},{4},{5,8},{6,7}}=>[2,3,1,4,8,7,6,5]=>[4,2,1,1] {{1,2,3},{4,5},{6},{7},{8}}=>[2,3,1,5,4,6,7,8]=>[6,2] {{1,2,3},{4,5},{6,7},{8}}=>[2,3,1,5,4,7,6,8]=>[5,3] {{1,2,3},{4,6},{5},{7,8}}=>[2,3,1,6,5,4,8,7]=>[4,3,1] {{1,2,3},{4,6,8},{5},{7}}=>[2,3,1,6,5,8,7,4]=>[4,3,1] {{1,2,3},{4,5,6},{7},{8}}=>[2,3,1,5,6,4,7,8]=>[6,2] {{1,2,3},{4,8},{5,7},{6}}=>[2,3,1,8,7,6,5,4]=>[3,2,1,1,1] {{1,2,3},{4,5,6,7},{8}}=>[2,3,1,5,6,7,4,8]=>[6,2] {{1,2,3},{4,8},{5,6,7}}=>[2,3,1,8,6,7,5,4]=>[4,2,1,1] {{1,2,3},{4,5,6,7,8}}=>[2,3,1,5,6,7,8,4]=>[6,2] {{1,4},{2,3},{5},{6},{7},{8}}=>[4,3,2,1,5,6,7,8]=>[5,1,1,1] {{1,4},{2,3},{5},{6,7,8}}=>[4,3,2,1,5,7,8,6]=>[4,2,1,1] {{1,4},{2,3},{5,8},{6},{7}}=>[4,3,2,1,8,6,7,5]=>[3,2,2,1] {{1,4},{2,3},{5,7,8},{6}}=>[4,3,2,1,7,6,8,5]=>[3,2,2,1] {{1,4},{2,3},{5,6,8},{7}}=>[4,3,2,1,6,8,7,5]=>[3,2,2,1] {{1,4},{2,3},{5,6,7,8}}=>[4,3,2,1,6,7,8,5]=>[4,2,1,1] {{1,5},{2,3},{4},{6,7},{8}}=>[5,3,2,4,1,7,6,8]=>[4,2,1,1] {{1,5},{2,3},{4},{6,8},{7}}=>[5,3,2,4,1,8,7,6]=>[3,2,2,1] {{1,8},{2,3},{4},{5},{6},{7}}=>[8,3,2,4,5,6,7,1]=>[5,1,1,1] {{1,5,7},{2,3},{4},{6},{8}}=>[5,3,2,4,7,6,1,8]=>[4,2,1,1] {{1,8},{2,3},{4},{5,6,7}}=>[8,3,2,4,6,7,5,1]=>[4,2,1,1] {{1,4,5},{2,3},{6,8},{7}}=>[4,3,2,5,1,8,7,6]=>[3,2,2,1] {{1,7},{2,3},{4,5},{6},{8}}=>[7,3,2,5,4,6,1,8]=>[4,2,1,1] {{1,6,7},{2,3},{4,5},{8}}=>[6,3,2,5,4,7,1,8]=>[4,2,1,1] {{1,6,8},{2,3},{4,5},{7}}=>[6,3,2,5,4,8,7,1]=>[3,3,1,1] {{1,6,7,8},{2,3},{4,5}}=>[6,3,2,5,4,7,8,1]=>[4,2,1,1] {{1,4,6},{2,3},{5},{7,8}}=>[4,3,2,6,5,1,8,7]=>[3,3,1,1] {{1,4,7,8},{2,3},{5},{6}}=>[4,3,2,7,5,6,8,1]=>[4,2,1,1] {{1,8},{2,3},{4,6,7},{5}}=>[8,3,2,6,5,7,4,1]=>[3,2,1,1,1] {{1,4,8},{2,3},{5},{6,7}}=>[4,3,2,8,5,7,6,1]=>[3,2,2,1] {{1,4,6,8},{2,3},{5},{7}}=>[4,3,2,6,5,8,7,1]=>[3,3,1,1] {{1,4,5,6},{2,3},{7,8}}=>[4,3,2,5,6,1,8,7]=>[4,2,1,1] {{1,4,5,7},{2,3},{6},{8}}=>[4,3,2,5,7,6,1,8]=>[4,2,1,1] {{1,8},{2,3},{4,5,7},{6}}=>[8,3,2,5,7,6,4,1]=>[3,2,1,1,1] {{1,4,8},{2,3},{5,7},{6}}=>[4,3,2,8,7,6,5,1]=>[2,2,2,1,1] {{1,4,5,7,8},{2,3},{6}}=>[4,3,2,5,7,6,8,1]=>[4,2,1,1] {{1,4,5,6,7},{2,3},{8}}=>[4,3,2,5,6,7,1,8]=>[5,1,1,1] {{1,4,8},{2,3},{5,6,7}}=>[4,3,2,8,6,7,5,1]=>[3,2,2,1] {{1,4,5,8},{2,3},{6,7}}=>[4,3,2,5,8,7,6,1]=>[3,2,2,1] {{1,4,5,6,8},{2,3},{7}}=>[4,3,2,5,6,8,7,1]=>[4,2,1,1] {{1,4,5,6,7,8},{2,3}}=>[4,3,2,5,6,7,8,1]=>[5,1,1,1] {{1,2,4},{3},{5,6},{7,8}}=>[2,4,3,1,6,5,8,7]=>[4,3,1] {{1,2,4},{3},{5,7,8},{6}}=>[2,4,3,1,7,6,8,5]=>[4,2,2] {{1,2,4},{3},{5,8},{6,7}}=>[2,4,3,1,8,7,6,5]=>[3,2,2,1] {{1,2,4},{3},{5,6,8},{7}}=>[2,4,3,1,6,8,7,5]=>[4,2,2] {{1,2,4},{3},{5,6,7,8}}=>[2,4,3,1,6,7,8,5]=>[5,2,1] {{1,5},{2,4},{3},{6},{7},{8}}=>[5,4,3,2,1,6,7,8]=>[4,1,1,1,1] {{1,5},{2,4},{3},{6},{7,8}}=>[5,4,3,2,1,6,8,7]=>[3,2,1,1,1] {{1,5},{2,4},{3},{6,7},{8}}=>[5,4,3,2,1,7,6,8]=>[3,2,1,1,1] {{1,5},{2,4},{3},{6,8},{7}}=>[5,4,3,2,1,8,7,6]=>[2,2,2,1,1] {{1,5},{2,4},{3},{6,7,8}}=>[5,4,3,2,1,7,8,6]=>[3,2,1,1,1] {{1,8},{2,4},{3},{5},{6},{7}}=>[8,4,3,2,5,6,7,1]=>[4,1,1,1,1] {{1,8},{2,4},{3},{5},{6,7}}=>[8,4,3,2,5,7,6,1]=>[3,2,1,1,1] {{1,5,6},{2,4},{3},{7,8}}=>[5,4,3,2,6,1,8,7]=>[3,2,1,1,1] {{1,7},{2,4},{3},{5,6},{8}}=>[7,4,3,2,6,5,1,8]=>[3,2,1,1,1] {{1,7,8},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,8,1]=>[3,2,1,1,1] {{1,5,7},{2,4},{3},{6},{8}}=>[5,4,3,2,7,6,1,8]=>[3,2,1,1,1] {{1,8},{2,4},{3},{5,7},{6}}=>[8,4,3,2,7,6,5,1]=>[2,2,2,1,1] {{1,5,7,8},{2,4},{3},{6}}=>[5,4,3,2,7,6,8,1]=>[3,2,1,1,1] {{1,5,6,7},{2,4},{3},{8}}=>[5,4,3,2,6,7,1,8]=>[4,1,1,1,1] {{1,5,8},{2,4},{3},{6,7}}=>[5,4,3,2,8,7,6,1]=>[2,2,2,1,1] {{1,5,6,8},{2,4},{3},{7}}=>[5,4,3,2,6,8,7,1]=>[3,2,1,1,1] {{1,5,6,7,8},{2,4},{3}}=>[5,4,3,2,6,7,8,1]=>[4,1,1,1,1] {{1,8},{2,5},{3},{4},{6},{7}}=>[8,5,3,4,2,6,7,1]=>[4,1,1,1,1] {{1,6,7,8},{2,5},{3},{4}}=>[6,5,3,4,2,7,8,1]=>[4,1,1,1,1] {{1,2,8},{3},{4},{5},{6},{7}}=>[2,8,3,4,5,6,7,1]=>[6,1,1] {{1,7,8},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,8,1]=>[4,1,1,1,1] {{1,8},{2,5,7},{3},{4},{6}}=>[8,5,3,4,7,6,2,1]=>[3,2,1,1,1] {{1,2,5,7,8},{3},{4},{6}}=>[2,5,3,4,7,6,8,1]=>[5,2,1] {{1,8},{2,5,6,7},{3},{4}}=>[8,5,3,4,6,7,2,1]=>[4,1,1,1,1] {{1,2,5,6,8},{3},{4},{7}}=>[2,5,3,4,6,8,7,1]=>[5,2,1] {{1,2,5,6,7,8},{3},{4}}=>[2,5,3,4,6,7,8,1]=>[6,1,1] {{1,6},{2,4,5},{3},{7,8}}=>[6,4,3,5,2,1,8,7]=>[3,2,1,1,1] {{1,7},{2,4,5},{3},{6},{8}}=>[7,4,3,5,2,6,1,8]=>[4,1,1,1,1] {{1,7,8},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,8,1]=>[4,1,1,1,1] {{1,8},{2,4,5},{3},{6,7}}=>[8,4,3,5,2,7,6,1]=>[3,2,1,1,1] {{1,2,6},{3},{4,5},{7,8}}=>[2,6,3,5,4,1,8,7]=>[4,2,1,1] {{1,7},{2,6},{3},{4,5},{8}}=>[7,6,3,5,4,2,1,8]=>[3,1,1,1,1,1] {{1,7,8},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,8,1]=>[3,1,1,1,1,1] {{1,2,7,8},{3},{4,5},{6}}=>[2,7,3,5,4,6,8,1]=>[5,1,1,1] {{1,8},{2,6,7},{3},{4,5}}=>[8,6,3,5,4,7,2,1]=>[3,1,1,1,1,1] {{1,2,8},{3},{4,5},{6,7}}=>[2,8,3,5,4,7,6,1]=>[4,2,1,1] {{1,2,6,8},{3},{4,5},{7}}=>[2,6,3,5,4,8,7,1]=>[4,2,1,1] {{1,2,4,6},{3},{5},{7,8}}=>[2,4,3,6,5,1,8,7]=>[4,3,1] {{1,7},{2,4,6},{3},{5},{8}}=>[7,4,3,6,5,2,1,8]=>[3,2,1,1,1] {{1,7,8},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,8,1]=>[3,2,1,1,1] {{1,8},{2,4,7},{3},{5},{6}}=>[8,4,3,7,5,6,2,1]=>[3,2,1,1,1] {{1,2,4,7,8},{3},{5},{6}}=>[2,4,3,7,5,6,8,1]=>[5,2,1] {{1,2,4,8},{3},{5},{6,7}}=>[2,4,3,8,5,7,6,1]=>[4,2,1,1] {{1,2,4,6,8},{3},{5},{7}}=>[2,4,3,6,5,8,7,1]=>[4,3,1] {{1,2,4,6,7,8},{3},{5}}=>[2,4,3,6,5,7,8,1]=>[5,2,1] {{1,2,4,5,6},{3},{7,8}}=>[2,4,3,5,6,1,8,7]=>[5,2,1] {{1,8},{2,4,5,6},{3},{7}}=>[8,4,3,5,6,2,7,1]=>[4,1,1,1,1] {{1,8},{2,7},{3},{4,5,6}}=>[8,7,3,5,6,4,2,1]=>[3,1,1,1,1,1] {{1,8},{2,4,7},{3},{5,6}}=>[8,4,3,7,6,5,2,1]=>[2,2,1,1,1,1] {{1,2,8},{3},{4,7},{5,6}}=>[2,8,3,7,6,5,4,1]=>[3,1,1,1,1,1] {{1,2,4,8},{3},{5,6},{7}}=>[2,4,3,8,6,5,7,1]=>[4,2,1,1] {{1,8},{2,4,5,7},{3},{6}}=>[8,4,3,5,7,6,2,1]=>[3,2,1,1,1] {{1,2,8},{3},{4,5,7},{6}}=>[2,8,3,5,7,6,4,1]=>[4,1,1,1,1] {{1,2,4,8},{3},{5,7},{6}}=>[2,4,3,8,7,6,5,1]=>[3,2,1,1,1] {{1,8},{2,4,5,6,7},{3}}=>[8,4,3,5,6,7,2,1]=>[4,1,1,1,1] {{1,2,4,5,6,8},{3},{7}}=>[2,4,3,5,6,8,7,1]=>[5,2,1] {{1,2,4,5,6,7,8},{3}}=>[2,4,3,5,6,7,8,1]=>[6,1,1] {{1,2,3,4},{5},{6},{7},{8}}=>[2,3,4,1,5,6,7,8]=>[7,1] {{1,2,3,4},{5},{6,7},{8}}=>[2,3,4,1,5,7,6,8]=>[6,2] {{1,2,3,4},{5,6},{7},{8}}=>[2,3,4,1,6,5,7,8]=>[6,2] {{1,2,3,4},{5,6},{7,8}}=>[2,3,4,1,6,5,8,7]=>[5,3] {{1,2,3,4},{5,7,8},{6}}=>[2,3,4,1,7,6,8,5]=>[5,2,1] {{1,2,3,4},{5,6,7},{8}}=>[2,3,4,1,6,7,5,8]=>[6,2] {{1,2,3,4},{5,8},{6,7}}=>[2,3,4,1,8,7,6,5]=>[4,2,1,1] {{1,2,3,4},{5,6,8},{7}}=>[2,3,4,1,6,8,7,5]=>[5,2,1] {{1,2,3,4},{5,6,7,8}}=>[2,3,4,1,6,7,8,5]=>[6,2] {{1,5},{2,3,4},{6},{7},{8}}=>[5,3,4,2,1,6,7,8]=>[5,1,1,1] {{1,5},{2,3,4},{6,8},{7}}=>[5,3,4,2,1,8,7,6]=>[3,2,2,1] {{1,5},{2,3,4},{6,7,8}}=>[5,3,4,2,1,7,8,6]=>[4,2,1,1] {{1,6},{2,3,4},{5},{7,8}}=>[6,3,4,2,5,1,8,7]=>[4,2,1,1] {{1,8},{2,3,4},{5},{6},{7}}=>[8,3,4,2,5,6,7,1]=>[5,1,1,1] {{1,5,7},{2,3,4},{6},{8}}=>[5,3,4,2,7,6,1,8]=>[4,2,1,1] {{1,5,8},{2,3,4},{6},{7}}=>[5,3,4,2,8,6,7,1]=>[4,2,1,1] {{1,2,5},{3,4},{6},{7,8}}=>[2,5,4,3,1,6,8,7]=>[4,2,1,1] {{1,2,5},{3,4},{6,8},{7}}=>[2,5,4,3,1,8,7,6]=>[3,2,2,1] {{1,7},{2,5},{3,4},{6},{8}}=>[7,5,4,3,2,6,1,8]=>[3,1,1,1,1,1] {{1,6,7},{2,5},{3,4},{8}}=>[6,5,4,3,2,7,1,8]=>[3,1,1,1,1,1] {{1,6,8},{2,5},{3,4},{7}}=>[6,5,4,3,2,8,7,1]=>[2,2,1,1,1,1] {{1,6,7,8},{2,5},{3,4}}=>[6,5,4,3,2,7,8,1]=>[3,1,1,1,1,1] {{1,2,6},{3,4},{5},{7,8}}=>[2,6,4,3,5,1,8,7]=>[4,2,1,1] {{1,7},{2,6},{3,4},{5},{8}}=>[7,6,4,3,5,2,1,8]=>[3,1,1,1,1,1] {{1,8},{2,6},{3,4},{5},{7}}=>[8,6,4,3,5,2,7,1]=>[3,1,1,1,1,1] {{1,7,8},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,8,1]=>[3,1,1,1,1,1] {{1,2,7,8},{3,4},{5},{6}}=>[2,7,4,3,5,6,8,1]=>[5,1,1,1] {{1,8},{2,6,7},{3,4},{5}}=>[8,6,4,3,5,7,2,1]=>[3,1,1,1,1,1] {{1,2,8},{3,4},{5},{6,7}}=>[2,8,4,3,5,7,6,1]=>[4,2,1,1] {{1,2,6,8},{3,4},{5},{7}}=>[2,6,4,3,5,8,7,1]=>[4,2,1,1] {{1,7,8},{2,5,6},{3,4}}=>[7,5,4,3,6,2,8,1]=>[3,1,1,1,1,1] {{1,2,8},{3,4},{5,6},{7}}=>[2,8,4,3,6,5,7,1]=>[4,2,1,1] {{1,2,7,8},{3,4},{5,6}}=>[2,7,4,3,6,5,8,1]=>[4,2,1,1] {{1,8},{2,5,7},{3,4},{6}}=>[8,5,4,3,7,6,2,1]=>[2,2,1,1,1,1] {{1,2,8},{3,4},{5,7},{6}}=>[2,8,4,3,7,6,5,1]=>[3,2,1,1,1] {{1,2,5,8},{3,4},{6},{7}}=>[2,5,4,3,8,6,7,1]=>[4,2,1,1] {{1,2,3,5},{4},{6},{7,8}}=>[2,3,5,4,1,6,8,7]=>[5,2,1] {{1,2,3,5},{4},{6,8},{7}}=>[2,3,5,4,1,8,7,6]=>[4,2,2] {{1,6},{2,3,5},{4},{7,8}}=>[6,3,5,4,2,1,8,7]=>[3,2,1,1,1] {{1,6,7},{2,3,5},{4},{8}}=>[6,3,5,4,2,7,1,8]=>[4,1,1,1,1] {{1,8},{2,3,5},{4},{6,7}}=>[8,3,5,4,2,7,6,1]=>[3,2,1,1,1] {{1,6,8},{2,3,5},{4},{7}}=>[6,3,5,4,2,8,7,1]=>[3,2,1,1,1] {{1,6,7,8},{2,3,5},{4}}=>[6,3,5,4,2,7,8,1]=>[4,1,1,1,1] {{1,2,6},{3,5},{4},{7,8}}=>[2,6,5,4,3,1,8,7]=>[3,2,1,1,1] {{1,7},{2,6},{3,5},{4},{8}}=>[7,6,5,4,3,2,1,8]=>[2,1,1,1,1,1,1] {{1,7,8},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,8,1]=>[2,1,1,1,1,1,1] {{1,2,7,8},{3,5},{4},{6}}=>[2,7,5,4,3,6,8,1]=>[4,1,1,1,1] {{1,8},{2,6,7},{3,5},{4}}=>[8,6,5,4,3,7,2,1]=>[2,1,1,1,1,1,1] {{1,2,8},{3,5},{4},{6,7}}=>[2,8,5,4,3,7,6,1]=>[3,2,1,1,1] {{1,2,6,8},{3,5},{4},{7}}=>[2,6,5,4,3,8,7,1]=>[3,2,1,1,1] {{1,2,6,7,8},{3,5},{4}}=>[2,6,5,4,3,7,8,1]=>[4,1,1,1,1] {{1,2,3,6},{4},{5},{7,8}}=>[2,3,6,4,5,1,8,7]=>[5,2,1] {{1,7,8},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,8,1]=>[4,1,1,1,1] {{1,2,7,8},{3,6},{4},{5}}=>[2,7,6,4,5,3,8,1]=>[4,1,1,1,1] {{1,2,3,8},{4},{5},{6},{7}}=>[2,3,8,4,5,6,7,1]=>[6,1,1] {{1,2,3,7,8},{4},{5},{6}}=>[2,3,7,4,5,6,8,1]=>[6,1,1] {{1,2,3,6,8},{4},{5},{7}}=>[2,3,6,4,5,8,7,1]=>[5,2,1] {{1,7},{2,3,5,6},{4},{8}}=>[7,3,5,4,6,2,1,8]=>[4,1,1,1,1] {{1,8},{2,7},{3,5,6},{4}}=>[8,7,5,4,6,3,2,1]=>[2,1,1,1,1,1,1] {{1,8},{2,3,7},{4},{5,6}}=>[8,3,7,4,6,5,2,1]=>[3,1,1,1,1,1] {{1,2,8},{3,7},{4},{5,6}}=>[2,8,7,4,6,5,3,1]=>[3,1,1,1,1,1] {{1,8},{2,3,5,7},{4},{6}}=>[8,3,5,4,7,6,2,1]=>[3,2,1,1,1] {{1,2,8},{3,5,7},{4},{6}}=>[2,8,5,4,7,6,3,1]=>[3,2,1,1,1] {{1,2,3,5,8},{4},{6},{7}}=>[2,3,5,4,8,6,7,1]=>[5,2,1] {{1,2,3,5,7,8},{4},{6}}=>[2,3,5,4,7,6,8,1]=>[5,2,1] {{1,2,3,5,6,7},{4},{8}}=>[2,3,5,4,6,7,1,8]=>[6,1,1] {{1,8},{2,3,5,6,7},{4}}=>[8,3,5,4,6,7,2,1]=>[4,1,1,1,1] {{1,2,3,8},{4},{5,6,7}}=>[2,3,8,4,6,7,5,1]=>[5,1,1,1] {{1,2,3,5,6,7,8},{4}}=>[2,3,5,4,6,7,8,1]=>[6,1,1] {{1,2,3,4,5},{6},{7},{8}}=>[2,3,4,5,1,6,7,8]=>[7,1] {{1,2,3,4,5},{6,7},{8}}=>[2,3,4,5,1,7,6,8]=>[6,2] {{1,2,3,4,5},{6,8},{7}}=>[2,3,4,5,1,8,7,6]=>[5,2,1] {{1,2,3,4,5},{6,7,8}}=>[2,3,4,5,1,7,8,6]=>[6,2] {{1,7},{2,6},{3,4,5},{8}}=>[7,6,4,5,3,2,1,8]=>[3,1,1,1,1,1] {{1,7,8},{2,6},{3,4,5}}=>[7,6,4,5,3,2,8,1]=>[3,1,1,1,1,1] {{1,2,3,6},{4,5},{7,8}}=>[2,3,6,5,4,1,8,7]=>[4,2,1,1] {{1,7,8},{2,3,6},{4,5}}=>[7,3,6,5,4,2,8,1]=>[3,1,1,1,1,1] {{1,2,7},{3,6},{4,5},{8}}=>[2,7,6,5,4,3,1,8]=>[3,1,1,1,1,1] {{1,2,3,7},{4,5},{6},{8}}=>[2,3,7,5,4,6,1,8]=>[5,1,1,1] {{1,8},{2,3,7},{4,5},{6}}=>[8,3,7,5,4,6,2,1]=>[3,1,1,1,1,1] {{1,2,8},{3,7},{4,5},{6}}=>[2,8,7,5,4,6,3,1]=>[3,1,1,1,1,1] {{1,2,3,8},{4,5},{6},{7}}=>[2,3,8,5,4,6,7,1]=>[5,1,1,1] {{1,8},{2,3,6,7},{4,5}}=>[8,3,6,5,4,7,2,1]=>[3,1,1,1,1,1] {{1,2,3,6,7,8},{4,5}}=>[2,3,6,5,4,7,8,1]=>[5,1,1,1] {{1,2,7},{3,4,6},{5},{8}}=>[2,7,4,6,5,3,1,8]=>[4,1,1,1,1] {{1,8},{2,7},{3,4,6},{5}}=>[8,7,4,6,5,3,2,1]=>[2,1,1,1,1,1,1] {{1,2,8},{3,4,6},{5},{7}}=>[2,8,4,6,5,3,7,1]=>[4,1,1,1,1] {{1,2,3,7},{4,6},{5},{8}}=>[2,3,7,6,5,4,1,8]=>[4,1,1,1,1] {{1,8},{2,3,7},{4,6},{5}}=>[8,3,7,6,5,4,2,1]=>[2,1,1,1,1,1,1] {{1,2,8},{3,7},{4,6},{5}}=>[2,8,7,6,5,4,3,1]=>[2,1,1,1,1,1,1] {{1,2,3,8},{4,6},{5},{7}}=>[2,3,8,6,5,4,7,1]=>[4,1,1,1,1] {{1,2,3,7,8},{4,6},{5}}=>[2,3,7,6,5,4,8,1]=>[4,1,1,1,1] {{1,2,3,4,7},{5},{6},{8}}=>[2,3,4,7,5,6,1,8]=>[6,1,1] {{1,2,3,4,8},{5},{6},{7}}=>[2,3,4,8,5,6,7,1]=>[6,1,1] {{1,2,3,4,7,8},{5},{6}}=>[2,3,4,7,5,6,8,1]=>[6,1,1] {{1,2,3,4,6,7},{5},{8}}=>[2,3,4,6,5,7,1,8]=>[6,1,1] {{1,2,3,4,8},{5},{6,7}}=>[2,3,4,8,5,7,6,1]=>[5,1,1,1] {{1,2,3,4,6,8},{5},{7}}=>[2,3,4,6,5,8,7,1]=>[5,2,1] {{1,2,3,4,6,7,8},{5}}=>[2,3,4,6,5,7,8,1]=>[6,1,1] {{1,2,3,4,5,6},{7},{8}}=>[2,3,4,5,6,1,7,8]=>[7,1] {{1,2,3,4,5,6},{7,8}}=>[2,3,4,5,6,1,8,7]=>[6,2] {{1,2,7,8},{3,4,5,6}}=>[2,7,4,5,6,3,8,1]=>[5,1,1,1] {{1,2,8},{3,7},{4,5,6}}=>[2,8,7,5,6,4,3,1]=>[3,1,1,1,1,1] {{1,2,3,8},{4,5,6},{7}}=>[2,3,8,5,6,4,7,1]=>[5,1,1,1] {{1,2,3,7,8},{4,5,6}}=>[2,3,7,5,6,4,8,1]=>[5,1,1,1] {{1,2,3,4,7},{5,6},{8}}=>[2,3,4,7,6,5,1,8]=>[5,1,1,1] {{1,8},{2,3,4,7},{5,6}}=>[8,3,4,7,6,5,2,1]=>[3,1,1,1,1,1] {{1,2,8},{3,4,7},{5,6}}=>[2,8,4,7,6,5,3,1]=>[3,1,1,1,1,1] {{1,2,3,8},{4,7},{5,6}}=>[2,3,8,7,6,5,4,1]=>[3,1,1,1,1,1] {{1,2,3,4,8},{5,6},{7}}=>[2,3,4,8,6,5,7,1]=>[5,1,1,1] {{1,2,3,4,7,8},{5,6}}=>[2,3,4,7,6,5,8,1]=>[5,1,1,1] {{1,2,3,4,5,7},{6},{8}}=>[2,3,4,5,7,6,1,8]=>[6,1,1] {{1,8},{2,3,4,5,7},{6}}=>[8,3,4,5,7,6,2,1]=>[4,1,1,1,1] {{1,2,3,8},{4,5,7},{6}}=>[2,3,8,5,7,6,4,1]=>[4,1,1,1,1] {{1,2,3,4,8},{5,7},{6}}=>[2,3,4,8,7,6,5,1]=>[4,1,1,1,1] {{1,2,3,4,5,8},{6},{7}}=>[2,3,4,5,8,6,7,1]=>[6,1,1] {{1,2,3,4,5,7,8},{6}}=>[2,3,4,5,7,6,8,1]=>[6,1,1] {{1,2,3,4,5,6,7},{8}}=>[2,3,4,5,6,7,1,8]=>[7,1] {{1,8},{2,3,4,5,6,7}}=>[8,3,4,5,6,7,2,1]=>[5,1,1,1] {{1,2,3,8},{4,5,6,7}}=>[2,3,8,5,6,7,4,1]=>[5,1,1,1] {{1,2,3,4,8},{5,6,7}}=>[2,3,4,8,6,7,5,1]=>[5,1,1,1] {{1,2,3,4,5,8},{6,7}}=>[2,3,4,5,8,7,6,1]=>[5,1,1,1] {{1,2,3,4,5,6,8},{7}}=>[2,3,4,5,6,8,7,1]=>[6,1,1] {{1,2,3,4,5,6,7,8}}=>[2,3,4,5,6,7,8,1]=>[7,1] {{1,3,5,6,7,8},{2,4}}=>[3,4,5,2,6,7,8,1]=>[6,1,1] {{1,3,4,6,7,8},{2,5}}=>[3,5,4,6,2,7,8,1]=>[5,1,1,1] {{1,2,4,6,7,8},{3,5}}=>[2,4,5,6,3,7,8,1]=>[6,1,1] {{1,3,4,5,7,8},{2,6}}=>[3,6,4,5,7,2,8,1]=>[5,1,1,1] {{1,2,4,5,7,8},{3,6}}=>[2,4,6,5,7,3,8,1]=>[5,1,1,1] {{1,2,3,5,7,8},{4,6}}=>[2,3,5,6,7,4,8,1]=>[6,1,1] {{1,2,3,5,6,8},{4,7}}=>[2,3,5,7,6,8,4,1]=>[5,1,1,1] {{1,2,3,4,6,8},{5,7}}=>[2,3,4,6,7,8,5,1]=>[6,1,1] {{1,2,3,5,6,7},{4,8}}=>[2,3,5,8,6,7,1,4]=>[5,2,1] {{1,2,3,4,6,7},{5,8}}=>[2,3,4,6,8,7,1,5]=>[5,2,1] {{1,2,3,4,5,7},{6,8}}=>[2,3,4,5,7,8,1,6]=>[6,2] {{1,3,5,7,8},{2,4,6}}=>[3,4,5,6,7,2,8,1]=>[6,1,1] {{1,2,5,7,8},{3,4,6}}=>[2,5,4,6,7,3,8,1]=>[5,1,1,1] {{1,3,4,7,8},{2,5,6}}=>[3,5,4,7,6,2,8,1]=>[4,2,1,1] {{1,3,5,6,8},{2,4,7}}=>[3,4,5,7,6,8,2,1]=>[5,1,1,1] {{1,2,5,6,8},{3,4,7}}=>[2,5,4,7,6,8,3,1]=>[4,2,1,1] {{1,3,4,6,8},{2,5,7}}=>[3,5,4,6,7,8,2,1]=>[5,1,1,1] {{1,2,4,6,8},{3,5,7}}=>[2,4,5,6,7,8,3,1]=>[6,1,1] {{1,2,4,5,8},{3,6,7}}=>[2,4,6,5,8,7,3,1]=>[4,2,1,1] {{1,2,3,5,8},{4,6,7}}=>[2,3,5,6,8,7,4,1]=>[5,1,1,1] {{1,2,4,6,7},{3,5,8}}=>[2,4,5,6,8,7,1,3]=>[5,2,1] {{1,2,3,6,7},{4,5,8}}=>[2,3,6,5,8,7,1,4]=>[4,2,2] {{1,2,4,5,7},{3,6,8}}=>[2,4,6,5,7,8,1,3]=>[5,2,1] {{1,2,3,5,7},{4,6,8}}=>[2,3,5,6,7,8,1,4]=>[6,2] {{1,2,3,4,7},{5,6,8}}=>[2,3,4,7,6,8,1,5]=>[5,2,1] {{1,3,6,7,8},{2,5},{4}}=>[3,5,6,4,2,7,8,1]=>[5,1,1,1] {{1,3,4,7,8},{2,6},{5}}=>[3,6,4,7,5,2,8,1]=>[4,2,1,1] {{1,2,4,7,8},{3,6},{5}}=>[2,4,6,7,5,3,8,1]=>[5,1,1,1] {{1,3,4,7,8},{2,5},{6}}=>[3,5,4,7,2,6,8,1]=>[4,2,1,1] {{1,3,5,6,8},{2,7},{4}}=>[3,7,5,4,6,8,2,1]=>[4,1,1,1,1] {{1,2,5,6,8},{3,7},{4}}=>[2,5,7,4,6,8,3,1]=>[4,2,1,1] {{1,2,4,5,8},{3,6},{7}}=>[2,4,6,5,8,3,7,1]=>[4,2,1,1] {{1,2,4,6,7},{3,8},{5}}=>[2,4,8,6,5,7,1,3]=>[4,2,1,1] {{1,3,4,5,6},{2,8},{7}}=>[3,8,4,5,6,1,7,2]=>[5,2,1] {{1,2,3,4,6},{5,8},{7}}=>[2,3,4,6,8,1,7,5]=>[5,2,1] {{1,3,4,6,7},{2,5},{8}}=>[3,5,4,6,2,7,1,8]=>[5,1,1,1] {{1,2,3,5,7},{4,6},{8}}=>[2,3,5,6,7,4,1,8]=>[6,1,1] {{1,2,3,4,6},{5,7},{8}}=>[2,3,4,6,7,1,5,8]=>[6,2] {{1,3,5,7},{2,4,6,8}}=>[3,4,5,6,7,8,1,2]=>[6,2] {{1,3,4,7},{2,5,6,8}}=>[3,5,4,7,6,8,1,2]=>[4,2,2] {{1,3,5,6},{2,4,7,8}}=>[3,4,5,7,6,1,8,2]=>[5,2,1] {{1,3,4,6},{2,5,7,8}}=>[3,5,4,6,7,1,8,2]=>[5,2,1] {{1,2,4,6},{3,5,7,8}}=>[2,4,5,6,7,1,8,3]=>[6,2] {{1,2,4,5},{3,6,7,8}}=>[2,4,6,5,1,7,8,3]=>[5,2,1] {{1,3,6,8},{2,5,7},{4}}=>[3,5,6,4,7,8,2,1]=>[5,1,1,1] {{1,2,6,8},{3,5,7},{4}}=>[2,6,5,4,7,8,3,1]=>[4,1,1,1,1] {{1,2,5,8},{3,6,7},{4}}=>[2,5,6,4,8,7,3,1]=>[4,2,1,1] {{1,3,4,8},{2,6,7},{5}}=>[3,6,4,8,5,7,2,1]=>[4,2,1,1] {{1,2,5,8},{3,4,7},{6}}=>[2,5,4,7,8,6,3,1]=>[4,2,1,1] {{1,2,6,7},{3,5,8},{4}}=>[2,6,5,4,8,7,1,3]=>[3,2,2,1] {{1,2,4,7},{3,6,8},{5}}=>[2,4,6,7,5,8,1,3]=>[5,2,1] {{1,3,5,7},{2,4,8},{6}}=>[3,4,5,8,7,6,1,2]=>[4,2,1,1] {{1,3,4,5},{2,7,8},{6}}=>[3,7,4,5,1,6,8,2]=>[5,2,1] {{1,2,4,5},{3,7,8},{6}}=>[2,4,7,5,1,6,8,3]=>[5,2,1] {{1,3,5,7},{2,4,6},{8}}=>[3,4,5,6,7,2,1,8]=>[6,1,1] {{1,4,7,8},{2,5},{3,6}}=>[4,5,6,7,2,3,8,1]=>[5,2,1] {{1,2,6,8},{3,5},{4,7}}=>[2,6,5,7,3,8,4,1]=>[4,2,1,1] {{1,3,6,8},{2,4},{5,7}}=>[3,4,6,2,7,8,5,1]=>[5,2,1] {{1,3,5,8},{2,6},{4,7}}=>[3,6,5,7,8,2,4,1]=>[4,2,1,1] {{1,2,5,8},{3,6},{4,7}}=>[2,5,6,7,8,3,4,1]=>[5,2,1] {{1,3,4,8},{2,6},{5,7}}=>[3,6,4,8,7,2,5,1]=>[3,2,2,1] {{1,3,5,7},{2,6},{4,8}}=>[3,6,5,8,7,2,1,4]=>[3,2,2,1] {{1,2,3,6},{4,7},{5,8}}=>[2,3,6,7,8,1,4,5]=>[5,3] {{1,2,3,4},{5,7},{6,8}}=>[2,3,4,1,7,8,5,6]=>[5,3] {{1,3,5,6},{2,4},{7,8}}=>[3,4,5,2,6,1,8,7]=>[5,2,1] {{1,5,7,8},{2,6},{3},{4}}=>[5,6,3,4,7,2,8,1]=>[4,2,1,1] {{1,4,7,8},{2,6},{3},{5}}=>[4,6,3,7,5,2,8,1]=>[4,2,1,1] {{1,3,7,8},{2,5},{4},{6}}=>[3,5,7,4,2,6,8,1]=>[4,2,1,1] {{1,5,6,8},{2,7},{3},{4}}=>[5,7,3,4,6,8,2,1]=>[4,2,1,1] {{1,3,6,8},{2,7},{4},{5}}=>[3,7,6,4,5,8,2,1]=>[4,1,1,1,1] {{1,4,5,8},{2,7},{3},{6}}=>[4,7,3,5,8,6,2,1]=>[3,3,1,1] {{1,3,5,8},{2,7},{4},{6}}=>[3,7,5,4,8,6,2,1]=>[3,2,1,1,1] {{1,2,5,8},{3,7},{4},{6}}=>[2,5,7,4,8,6,3,1]=>[4,2,1,1] {{1,3,4,8},{2,7},{5},{6}}=>[3,7,4,8,5,6,2,1]=>[4,2,1,1] {{1,2,4,8},{3,7},{5},{6}}=>[2,4,7,8,5,6,3,1]=>[4,2,1,1] {{1,4,6,8},{2,5},{3},{7}}=>[4,5,3,6,2,8,7,1]=>[4,2,1,1] {{1,3,6,8},{2,5},{4},{7}}=>[3,5,6,4,2,8,7,1]=>[4,2,1,1] {{1,3,6,8},{2,4},{5},{7}}=>[3,4,6,2,5,8,7,1]=>[4,3,1] {{1,4,5,8},{2,6},{3},{7}}=>[4,6,3,5,8,2,7,1]=>[3,3,1,1] {{1,2,5,8},{3,6},{4},{7}}=>[2,5,6,4,8,3,7,1]=>[4,2,1,1] {{1,3,4,8},{2,6},{5},{7}}=>[3,6,4,8,5,2,7,1]=>[4,2,1,1] {{1,2,4,8},{3,6},{5},{7}}=>[2,4,6,8,5,3,7,1]=>[4,2,1,1] {{1,2,4,8},{3,5},{6},{7}}=>[2,4,5,8,3,6,7,1]=>[5,2,1] {{1,4,6,7},{2,8},{3},{5}}=>[4,8,3,6,5,7,1,2]=>[3,2,2,1] {{1,2,6,7},{3,8},{4},{5}}=>[2,6,8,4,5,7,1,3]=>[4,2,2] {{1,3,5,7},{2,8},{4},{6}}=>[3,8,5,4,7,6,1,2]=>[3,2,2,1] {{1,2,5,7},{3,8},{4},{6}}=>[2,5,8,4,7,6,1,3]=>[3,2,2,1] {{1,3,4,7},{2,8},{5},{6}}=>[3,8,4,7,5,6,1,2]=>[4,2,1,1] {{1,2,4,7},{3,8},{5},{6}}=>[2,4,8,7,5,6,1,3]=>[4,2,1,1] {{1,4,5,6},{2,8},{3},{7}}=>[4,8,3,5,6,1,7,2]=>[4,2,2] {{1,2,5,6},{3,8},{4},{7}}=>[2,5,8,4,6,1,7,3]=>[4,2,2] {{1,2,4,6},{3,8},{5},{7}}=>[2,4,8,6,5,1,7,3]=>[4,2,1,1] {{1,2,3,6},{4,8},{5},{7}}=>[2,3,6,8,5,1,7,4]=>[4,2,2] {{1,3,4,5},{2,8},{6},{7}}=>[3,8,4,5,1,6,7,2]=>[5,2,1] {{1,2,4,5},{3,8},{6},{7}}=>[2,4,8,5,1,6,7,3]=>[5,2,1] {{1,2,3,5},{4,8},{6},{7}}=>[2,3,5,8,1,6,7,4]=>[5,2,1] {{1,4,6,7},{2,5},{3},{8}}=>[4,5,3,6,2,7,1,8]=>[5,1,1,1] {{1,3,6,7},{2,5},{4},{8}}=>[3,5,6,4,2,7,1,8]=>[5,1,1,1] {{1,3,5,7},{2,6},{4},{8}}=>[3,6,5,4,7,2,1,8]=>[4,1,1,1,1] {{1,2,5,7},{3,6},{4},{8}}=>[2,5,6,4,7,3,1,8]=>[5,1,1,1] {{1,3,4,7},{2,6},{5},{8}}=>[3,6,4,7,5,2,1,8]=>[4,2,1,1] {{1,2,4,7},{3,6},{5},{8}}=>[2,4,6,7,5,3,1,8]=>[5,1,1,1] {{1,3,5,7},{2,4},{6},{8}}=>[3,4,5,2,7,6,1,8]=>[5,2,1] {{1,3,4,7},{2,5},{6},{8}}=>[3,5,4,7,2,6,1,8]=>[4,2,1,1] {{1,2,4,7},{3,5},{6},{8}}=>[2,4,5,7,3,6,1,8]=>[5,2,1] {{1,3,4,5},{2,7},{6},{8}}=>[3,7,4,5,1,6,2,8]=>[5,2,1] {{1,2,4,5},{3,7},{6},{8}}=>[2,4,7,5,1,6,3,8]=>[5,2,1] {{1,3,5,6},{2,4},{7},{8}}=>[3,4,5,2,6,1,7,8]=>[6,1,1] {{1,2,4,6},{3,5},{7},{8}}=>[2,4,5,6,3,1,7,8]=>[6,1,1] {{1,2,3,5},{4,6},{7},{8}}=>[2,3,5,6,1,4,7,8]=>[6,2] {{1,4,7},{2,5,8},{3,6}}=>[4,5,6,7,8,3,1,2]=>[5,2,1] {{1,3,6},{2,5,8},{4,7}}=>[3,5,6,7,8,1,4,2]=>[5,2,1] {{1,4,5},{2,6,8},{3,7}}=>[4,6,7,5,1,8,3,2]=>[4,2,1,1] {{1,3,5},{2,6,8},{4,7}}=>[3,6,5,7,1,8,4,2]=>[4,2,1,1] {{1,2,5},{3,6,8},{4,7}}=>[2,5,6,7,1,8,4,3]=>[5,2,1] {{1,3,4},{2,6,8},{5,7}}=>[3,6,4,1,7,8,5,2]=>[4,2,2] {{1,2,5},{3,4,8},{6,7}}=>[2,5,4,8,1,7,6,3]=>[3,2,2,1] {{1,4,6},{2,5,7},{3,8}}=>[4,5,8,6,7,1,2,3]=>[4,3,1] {{1,3,6},{2,5,7},{4,8}}=>[3,5,6,8,7,1,2,4]=>[4,3,1] {{1,2,4},{3,5,7},{6,8}}=>[2,4,5,1,7,8,3,6]=>[5,3] {{1,3,4},{2,5,6},{7,8}}=>[3,5,4,1,6,2,8,7]=>[4,3,1] {{1,2,4},{3,5,6},{7,8}}=>[2,4,5,1,6,3,8,7]=>[5,3] {{1,5,7},{2,6,8},{3},{4}}=>[5,6,3,4,7,8,1,2]=>[4,2,2] {{1,4,7},{2,6,8},{3},{5}}=>[4,6,3,7,5,8,1,2]=>[4,2,2] {{1,3,7},{2,6,8},{4},{5}}=>[3,6,7,4,5,8,1,2]=>[4,2,2] {{1,2,7},{3,6,8},{4},{5}}=>[2,7,6,4,5,8,1,3]=>[4,2,1,1] {{1,4,7},{2,5,8},{3},{6}}=>[4,5,3,7,8,6,1,2]=>[4,2,2] {{1,3,7},{2,5,8},{4},{6}}=>[3,5,7,4,8,6,1,2]=>[4,2,2] {{1,3,7},{2,4,8},{5},{6}}=>[3,4,7,8,5,6,1,2]=>[4,2,2] {{1,2,7},{3,4,8},{5},{6}}=>[2,7,4,8,5,6,1,3]=>[4,2,2] {{1,5,6},{2,7,8},{3},{4}}=>[5,7,3,4,6,1,8,2]=>[4,2,2] {{1,4,6},{2,7,8},{3},{5}}=>[4,7,3,6,5,1,8,2]=>[3,2,2,1] {{1,3,6},{2,7,8},{4},{5}}=>[3,7,6,4,5,1,8,2]=>[4,2,1,1] {{1,2,5},{3,7,8},{4},{6}}=>[2,5,7,4,1,6,8,3]=>[4,2,2] {{1,2,4},{3,7,8},{5},{6}}=>[2,4,7,1,5,6,8,3]=>[5,2,1] {{1,4,6},{2,5,8},{3},{7}}=>[4,5,3,6,8,1,7,2]=>[4,2,2] {{1,2,6},{3,5,8},{4},{7}}=>[2,6,5,4,8,1,7,3]=>[3,2,2,1] {{1,3,6},{2,4,8},{5},{7}}=>[3,4,6,8,5,1,7,2]=>[4,2,2] {{1,2,6},{3,4,8},{5},{7}}=>[2,6,4,8,5,1,7,3]=>[4,2,2] {{1,4,5},{2,6,8},{3},{7}}=>[4,6,3,5,1,8,7,2]=>[3,3,2] {{1,3,5},{2,6,8},{4},{7}}=>[3,6,5,4,1,8,7,2]=>[3,2,2,1] {{1,3,4},{2,6,8},{5},{7}}=>[3,6,4,1,5,8,7,2]=>[4,2,2] {{1,2,4},{3,6,8},{5},{7}}=>[2,4,6,1,5,8,7,3]=>[4,3,1] {{1,3,5},{2,4,8},{6},{7}}=>[3,4,5,8,1,6,7,2]=>[5,2,1] {{1,2,6},{3,5,7},{4},{8}}=>[2,6,5,4,7,1,3,8]=>[4,2,1,1] {{1,3,5},{2,6,7},{4},{8}}=>[3,6,5,4,1,7,2,8]=>[4,2,1,1] {{1,2,5},{3,6,7},{4},{8}}=>[2,5,6,4,1,7,3,8]=>[5,2,1] {{1,3,5},{2,4,6},{7},{8}}=>[3,4,5,6,1,2,7,8]=>[6,2] {{1,2,5},{3,4,6},{7},{8}}=>[2,5,4,6,1,3,7,8]=>[5,2,1] {{1,4,8},{2,6},{3,7},{5}}=>[4,6,7,8,5,2,3,1]=>[4,2,1,1] {{1,3,8},{2,6},{4,7},{5}}=>[3,6,8,7,5,2,4,1]=>[3,2,1,1,1] {{1,2,8},{3,6},{4,7},{5}}=>[2,8,6,7,5,3,4,1]=>[3,2,1,1,1] {{1,4,8},{2,5},{3,7},{6}}=>[4,5,7,8,2,6,3,1]=>[4,2,1,1] {{1,3,8},{2,5},{4,7},{6}}=>[3,5,8,7,2,6,4,1]=>[3,2,1,1,1] {{1,2,8},{3,5},{4,7},{6}}=>[2,8,5,7,3,6,4,1]=>[3,2,1,1,1] {{1,3,8},{2,4},{5,7},{6}}=>[3,4,8,2,7,6,5,1]=>[3,2,1,1,1] {{1,4,8},{2,5},{3,6},{7}}=>[4,5,6,8,2,3,7,1]=>[4,3,1] {{1,2,8},{3,5},{4,6},{7}}=>[2,8,5,6,3,4,7,1]=>[4,2,1,1] {{1,3,8},{2,4},{5,6},{7}}=>[3,4,8,2,6,5,7,1]=>[4,2,1,1] {{1,4,7},{2,6},{3,8},{5}}=>[4,6,8,7,5,2,1,3]=>[3,2,1,1,1] {{1,3,7},{2,6},{4,8},{5}}=>[3,6,7,8,5,2,1,4]=>[4,2,1,1] {{1,2,7},{3,6},{4,8},{5}}=>[2,7,6,8,5,3,1,4]=>[3,2,1,1,1] {{1,4,7},{2,5},{3,8},{6}}=>[4,5,8,7,2,6,1,3]=>[3,2,2,1] {{1,3,7},{2,5},{4,8},{6}}=>[3,5,7,8,2,6,1,4]=>[4,2,2] {{1,2,7},{3,5},{4,8},{6}}=>[2,7,5,8,3,6,1,4]=>[3,2,2,1] {{1,4,6},{2,7},{3,8},{5}}=>[4,7,8,6,5,1,2,3]=>[3,3,1,1] {{1,3,6},{2,7},{4,8},{5}}=>[3,7,6,8,5,1,2,4]=>[3,3,1,1] {{1,2,6},{3,7},{4,8},{5}}=>[2,6,7,8,5,1,3,4]=>[4,3,1] {{1,4,5},{2,7},{3,8},{6}}=>[4,7,8,5,1,6,2,3]=>[3,3,2] {{1,3,5},{2,7},{4,8},{6}}=>[3,7,5,8,1,6,2,4]=>[3,3,2] {{1,2,5},{3,7},{4,8},{6}}=>[2,5,7,8,1,6,3,4]=>[4,3,1] {{1,3,4},{2,7},{5,8},{6}}=>[3,7,4,1,8,6,2,5]=>[3,3,2] {{1,2,3},{4,7},{5,8},{6}}=>[2,3,1,7,8,6,4,5]=>[4,3,1] {{1,4,6},{2,5},{3,8},{7}}=>[4,5,8,6,2,1,7,3]=>[4,2,1,1] {{1,3,6},{2,5},{4,8},{7}}=>[3,5,6,8,2,1,7,4]=>[4,2,2] {{1,2,6},{3,5},{4,8},{7}}=>[2,6,5,8,3,1,7,4]=>[3,2,2,1] {{1,3,5},{2,6},{4,8},{7}}=>[3,6,5,8,1,2,7,4]=>[3,3,2] {{1,2,5},{3,6},{4,8},{7}}=>[2,5,6,8,1,3,7,4]=>[4,3,1] {{1,3,4},{2,6},{5,8},{7}}=>[3,6,4,1,8,2,7,5]=>[3,3,2] {{1,2,4},{3,6},{5,8},{7}}=>[2,4,6,1,8,3,7,5]=>[4,3,1] {{1,2,3},{4,6},{5,8},{7}}=>[2,3,1,6,8,4,7,5]=>[4,3,1] {{1,3,5},{2,4},{6,8},{7}}=>[3,4,5,2,1,8,7,6]=>[4,2,2] {{1,4,7},{2,5},{3,6},{8}}=>[4,5,6,7,2,3,1,8]=>[5,2,1] {{1,3,7},{2,5},{4,6},{8}}=>[3,5,7,6,2,4,1,8]=>[4,2,1,1] {{1,3,6},{2,4},{5,7},{8}}=>[3,4,6,2,7,1,5,8]=>[5,2,1] {{1,3,8},{2,4},{5},{6},{7}}=>[3,4,8,2,5,6,7,1]=>[5,2,1] {{1,3,4},{2,8},{5},{6},{7}}=>[3,8,4,1,5,6,7,2]=>[5,2,1] {{1,4,7},{2,6},{3},{5},{8}}=>[4,6,3,7,5,2,1,8]=>[4,2,1,1] {{1,4,7},{2,5},{3},{6},{8}}=>[4,5,3,7,2,6,1,8]=>[4,2,1,1] {{1,4,6},{2,7},{3},{5},{8}}=>[4,7,3,6,5,1,2,8]=>[3,2,2,1] {{1,3,5},{2,4},{6},{7},{8}}=>[3,4,5,2,1,6,7,8]=>[6,1,1] {{1,4},{2,6},{3,8},{5},{7}}=>[4,6,8,1,5,2,7,3]=>[3,3,2] {{1,5},{2,6},{3,7},{4},{8}}=>[5,6,7,4,1,2,3,8]=>[4,3,1] {{1,4},{2,5},{3,6},{7},{8}}=>[4,5,6,1,2,3,7,8]=>[5,3] {{1,3},{2,5},{4,6},{7},{8}}=>[3,5,1,6,2,4,7,8]=>[5,3] {{1,7},{2,8},{3},{4},{5},{6}}=>[7,8,3,4,5,6,1,2]=>[4,2,2] {{1,6},{2,8},{3},{4},{5},{7}}=>[6,8,3,4,5,1,7,2]=>[4,2,2] {{1,4},{2,8},{3},{5},{6},{7}}=>[4,8,3,1,5,6,7,2]=>[4,2,2] {{1,3},{2,8},{4},{5},{6},{7}}=>[3,8,1,4,5,6,7,2]=>[5,2,1] {{1,3},{2,4},{5},{6},{7},{8}}=>[3,4,1,2,5,6,7,8]=>[6,2] {{1,3,5,8},{2},{4,6},{7}}=>[3,2,5,6,8,4,7,1]=>[4,3,1] {{1,3,5,7},{2},{4},{6,8}}=>[3,2,5,4,7,8,1,6]=>[4,3,1] {{1,5,7},{2,4},{3},{6,8}}=>[5,4,3,2,7,8,1,6]=>[3,2,1,1,1] {{1,5},{2,4,8},{3},{6,7}}=>[5,4,3,8,1,7,6,2]=>[2,2,2,2] {{1,5,8},{2,4},{3,6},{7}}=>[5,4,6,2,8,3,7,1]=>[3,3,1,1] {{1,6,8},{2,4},{3,5},{7}}=>[6,4,5,2,3,8,7,1]=>[3,3,1,1] {{1},{2,3,5,8},{4,6},{7}}=>[1,3,5,6,8,4,7,2]=>[5,2,1] {{1,5,8},{2,6},{3,4},{7}}=>[5,6,4,3,8,2,7,1]=>[3,2,1,1,1] {{1,4,8},{2,6},{3,5},{7}}=>[4,6,5,8,3,2,7,1]=>[3,2,1,1,1] {{1,4},{2,5,8},{3},{6,7}}=>[4,5,3,1,8,7,6,2]=>[3,2,2,1] {{1,4,7},{2,5},{3},{6,8}}=>[4,5,3,7,2,8,1,6]=>[4,2,1,1] {{1,4},{2},{3,6,7},{5,8}}=>[4,2,6,1,8,7,3,5]=>[3,3,2] {{1,4},{2},{3,6},{5,7,8}}=>[4,2,6,1,7,3,8,5]=>[4,3,1] {{1,4},{2},{3,7},{5,6,8}}=>[4,2,7,1,6,8,3,5]=>[3,3,2] {{1,4},{2},{3,5,8},{6,7}}=>[4,2,5,1,8,7,6,3]=>[3,2,2,1] {{1,5},{2},{3,4,8},{6,7}}=>[5,2,4,8,1,7,6,3]=>[3,2,2,1] {{1,2,5},{3},{4,7,8},{6}}=>[2,5,3,7,1,6,8,4]=>[4,2,2] {{1,2,5,7},{3},{4,8},{6}}=>[2,5,3,8,7,6,1,4]=>[3,2,2,1] {{1},{2,3,5,7},{4},{6,8}}=>[1,3,5,4,7,8,2,6]=>[5,2,1] {{1,5,7},{2},{3,4},{6,8}}=>[5,2,4,3,7,8,1,6]=>[4,2,1,1] {{1,4,7},{2},{3,5},{6,8}}=>[4,2,5,7,3,8,1,6]=>[4,3,1] {{1,4},{2},{3,8},{5,6,7}}=>[4,2,8,1,6,7,5,3]=>[3,2,2,1] {{1,4,6},{2},{3,8},{5,7}}=>[4,2,8,6,7,1,5,3]=>[3,2,2,1] {{1,4,6},{2},{3,7},{5,8}}=>[4,2,7,6,8,1,3,5]=>[3,3,2] {{1},{2,6},{3,4,7},{5,8}}=>[1,6,4,7,8,2,3,5]=>[4,3,1] {{1,6},{2,3,7},{4},{5,8}}=>[6,3,7,4,8,1,2,5]=>[3,3,2] {{1,2},{3,6,7},{4,8},{5}}=>[2,1,6,8,5,7,3,4]=>[3,3,2] {{1,2},{3,6},{4,7,8},{5}}=>[2,1,6,7,5,3,8,4]=>[4,3,1] {{1,6},{2,3},{4},{5,7,8}}=>[6,3,2,4,7,1,8,5]=>[4,2,1,1] {{1},{2,6},{3,4},{5,7,8}}=>[1,6,4,3,7,2,8,5]=>[4,2,1,1] {{1},{2,7},{3,4},{5,6,8}}=>[1,7,4,3,6,8,2,5]=>[4,2,1,1] {{1,7},{2,3},{4},{5,6,8}}=>[7,3,2,4,6,8,1,5]=>[4,2,1,1] {{1,2},{3,7},{4,6,8},{5}}=>[2,1,7,6,5,8,3,4]=>[3,3,1,1] {{1,2},{3,5,8},{4,7},{6}}=>[2,1,5,7,8,6,4,3]=>[4,2,1,1] {{1,7},{2,3,8},{4,5},{6}}=>[7,3,8,5,4,6,1,2]=>[3,2,2,1] {{1},{2,5},{3,4,8},{6,7}}=>[1,5,4,8,2,7,6,3]=>[3,2,2,1] {{1},{2,4},{3,5,8},{6,7}}=>[1,4,5,2,8,7,6,3]=>[4,2,1,1] {{1},{2,4},{3,7},{5,6,8}}=>[1,4,7,2,6,8,3,5]=>[4,3,1] {{1},{2,4},{3,6},{5,7,8}}=>[1,4,6,2,7,3,8,5]=>[5,3] {{1},{2,4},{3,6,7},{5,8}}=>[1,4,6,2,8,7,3,5]=>[4,3,1] {{1,3},{2,6,7},{4},{5,8}}=>[3,6,1,4,8,7,2,5]=>[3,3,2] {{1,3},{2,6},{4},{5,7,8}}=>[3,6,1,4,7,2,8,5]=>[4,3,1] {{1,3},{2,7},{4},{5,6,8}}=>[3,7,1,4,6,8,2,5]=>[4,3,1] {{1,3},{2,7,8},{4,5},{6}}=>[3,7,1,5,4,6,8,2]=>[4,2,1,1] {{1,3,8},{2,4,7},{5},{6}}=>[3,4,8,7,5,6,2,1]=>[4,1,1,1,1] {{1,4,8},{2,3,7},{5},{6}}=>[4,3,7,8,5,6,2,1]=>[3,3,1,1] {{1,4,7},{2,3,8},{5},{6}}=>[4,3,8,7,5,6,1,2]=>[3,2,2,1] {{1,3,7},{2,8},{4,5},{6}}=>[3,8,7,5,4,6,1,2]=>[3,2,1,1,1] {{1,3},{2,8},{4},{5,6,7}}=>[3,8,1,4,6,7,5,2]=>[4,2,1,1] {{1,3,6},{2,8},{4},{5,7}}=>[3,8,6,4,7,1,5,2]=>[3,2,2,1] {{1,3,6},{2,7},{4},{5,8}}=>[3,7,6,4,8,1,2,5]=>[3,3,1,1] {{1},{2,4,6},{3,7},{5,8}}=>[1,4,7,6,8,2,3,5]=>[4,3,1] {{1},{2,4,6},{3,8},{5,7}}=>[1,4,8,6,7,2,5,3]=>[4,2,1,1] {{1},{2,4},{3,8},{5,6,7}}=>[1,4,8,2,6,7,5,3]=>[4,2,1,1] {{1},{2,4,7},{3,5},{6,8}}=>[1,4,5,7,3,8,2,6]=>[5,2,1] {{1},{2,5,7},{3,4},{6,8}}=>[1,5,4,3,7,8,2,6]=>[4,2,1,1] {{1},{2,8},{3,4,6},{5,7}}=>[1,8,4,6,7,3,5,2]=>[4,2,1,1] {{1,8},{2,3,6},{4},{5,7}}=>[8,3,6,4,7,2,5,1]=>[3,2,1,1,1] {{1,2,6},{3,8},{4,7},{5}}=>[2,6,8,7,5,1,4,3]=>[3,2,1,1,1] {{1,7},{2,3,6},{4},{5,8}}=>[7,3,6,4,8,2,1,5]=>[3,2,1,1,1] {{1},{2,7},{3,4,6},{5,8}}=>[1,7,4,6,8,3,2,5]=>[4,2,1,1] {{1,2},{3,6,8},{4,7},{5}}=>[2,1,6,7,5,8,4,3]=>[4,2,1,1] {{1,2},{3,5,7},{4,8},{6}}=>[2,1,5,8,7,6,3,4]=>[3,3,1,1] {{1,2},{3,7},{4,5,8},{6}}=>[2,1,7,5,8,6,3,4]=>[3,3,2] {{1,4,8},{2,7},{3},{5,6}}=>[4,7,3,8,6,5,2,1]=>[3,2,1,1,1] {{1,3,7},{2,8},{4},{5,6}}=>[3,8,7,4,6,5,1,2]=>[3,2,1,1,1] {{1,3,7},{2,8},{4,6},{5}}=>[3,8,7,6,5,4,1,2]=>[2,2,1,1,1,1] {{1,3,7},{2},{4,5,8},{6}}=>[3,2,7,5,8,6,1,4]=>[3,3,2] {{1,7},{2,3},{4,5,8},{6}}=>[7,3,2,5,8,6,1,4]=>[3,2,2,1] {{1,7},{2,3,8},{4,6},{5}}=>[7,3,8,6,5,4,1,2]=>[2,2,2,1,1] {{1,7},{2,3,8},{4},{5,6}}=>[7,3,8,4,6,5,1,2]=>[3,2,2,1] {{1,7,8},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,8,1]=>[3,2,1,1,1] {{1,7},{2,4,6,8},{3},{5}}=>[7,4,3,6,5,8,1,2]=>[3,2,2,1] {{1,7},{2,4,5},{3,8},{6}}=>[7,4,8,5,2,6,1,3]=>[3,2,2,1] {{1,4,6},{2,5},{3},{7,8}}=>[4,5,3,6,2,1,8,7]=>[4,2,1,1] {{1,5,7,8},{2},{3,6},{4}}=>[5,2,6,4,7,3,8,1]=>[4,2,1,1] {{1,5,8},{2,7},{3,6},{4}}=>[5,7,6,4,8,3,2,1]=>[3,1,1,1,1,1] {{1,8},{2,5,7},{3,6},{4}}=>[8,5,6,4,7,3,2,1]=>[3,1,1,1,1,1] {{1,5,8},{2,6,7},{3},{4}}=>[5,6,3,4,8,7,2,1]=>[3,3,1,1] {{1,4,5,7},{2},{3,8},{6}}=>[4,2,8,5,7,6,1,3]=>[3,2,2,1] {{1,3,5},{2,6},{4},{7,8}}=>[3,6,5,4,1,2,8,7]=>[3,3,1,1] {{1,3,6},{2,8},{4,7},{5}}=>[3,8,6,7,5,1,4,2]=>[3,2,1,1,1] {{1,4,6,8},{2},{3,7},{5}}=>[4,2,7,6,5,8,3,1]=>[3,2,1,1,1] {{1,8},{2,4,6},{3,7},{5}}=>[8,4,7,6,5,2,3,1]=>[2,2,1,1,1,1] {{1,4,8},{2,5},{3},{6,7}}=>[4,5,3,8,2,7,6,1]=>[3,2,2,1] {{1,3,5},{2,8},{4},{6,7}}=>[3,8,5,4,1,7,6,2]=>[3,2,2,1] {{1,5},{2,3,8},{4},{6,7}}=>[5,3,8,4,1,7,6,2]=>[3,2,2,1] {{1,8},{2,6},{3,4,7},{5}}=>[8,6,4,7,5,2,3,1]=>[2,2,2,1,1] {{1,6,8},{2},{3,4,7},{5}}=>[6,2,4,7,5,8,3,1]=>[4,2,1,1] {{1,6,8},{2,4},{3,7},{5}}=>[6,4,7,2,5,8,3,1]=>[3,2,2,1] {{1,6},{2,3,8},{4,7},{5}}=>[6,3,8,7,5,1,4,2]=>[2,2,2,1,1] {{1,6},{2,3,7,8},{4},{5}}=>[6,3,7,4,5,1,8,2]=>[4,2,2] {{1,5},{2,3,7},{4,8},{6}}=>[5,3,7,8,1,6,2,4]=>[3,3,2] {{1,5},{2,3,6},{4},{7,8}}=>[5,3,6,4,1,2,8,7]=>[3,3,2] {{1,5,7},{2,4},{3,8},{6}}=>[5,4,8,2,7,6,1,3]=>[2,2,2,2] {{1,6,7},{2,4,8},{3},{5}}=>[6,4,3,8,5,7,1,2]=>[3,2,2,1] {{1,6,8},{2,5,7},{3},{4}}=>[6,5,3,4,7,8,2,1]=>[4,1,1,1,1] {{1,6,8},{2,7},{3,5},{4}}=>[6,7,5,4,3,8,2,1]=>[3,1,1,1,1,1] {{1,6,8},{2,7},{3},{4,5}}=>[6,7,3,5,4,8,2,1]=>[3,2,1,1,1] {{1,6,7},{2,8},{3,4},{5}}=>[6,8,4,3,5,7,1,2]=>[3,2,2,1] {{1,5,7},{2},{3,4,8},{6}}=>[5,2,4,8,7,6,1,3]=>[3,2,2,1] {{1,7},{2,5},{3,4,8},{6}}=>[7,5,4,8,2,6,1,3]=>[2,2,2,1,1] {{1,7},{2,6,8},{3,4},{5}}=>[7,6,4,3,5,8,1,2]=>[3,2,1,1,1] {{1,4,8},{2,3,6},{5},{7}}=>[4,3,6,8,5,2,7,1]=>[3,3,1,1] {{1,5},{2,4,8},{3,7},{6}}=>[5,4,7,8,1,6,3,2]=>[3,2,2,1] {{1,5},{2,4,7},{3,8},{6}}=>[5,4,8,7,1,6,2,3]=>[3,2,2,1] {{1,5},{2,4,8},{3,6},{7}}=>[5,4,6,8,1,3,7,2]=>[3,3,1,1] {{1,6},{2,4,8},{3,5},{7}}=>[6,4,5,8,3,1,7,2]=>[3,2,2,1] {{1,6},{2,5},{3,4,8},{7}}=>[6,5,4,8,2,1,7,3]=>[2,2,2,1,1] {{1,6},{2,3,5},{4,8},{7}}=>[6,3,5,8,2,1,7,4]=>[3,2,2,1] {{1,5},{2,3,6},{4,8},{7}}=>[5,3,6,8,1,2,7,4]=>[3,3,2] {{1,5},{2,6},{3,4,8},{7}}=>[5,6,4,8,1,2,7,3]=>[3,3,2] {{1,4,8},{2,7},{3,6},{5}}=>[4,7,6,8,5,3,2,1]=>[3,1,1,1,1,1] {{1,4,7},{2,8},{3,6},{5}}=>[4,8,6,7,5,3,1,2]=>[3,2,1,1,1] {{1,4,6},{2,8},{3,7},{5}}=>[4,8,7,6,5,1,3,2]=>[2,2,1,1,1,1] {{1,4,7},{2,8},{3,5},{6}}=>[4,8,5,7,3,6,1,2]=>[3,2,2,1] {{1,5},{2,8},{3,4,7},{6}}=>[5,8,4,7,1,6,3,2]=>[2,2,2,1,1] {{1,5},{2,3,8},{4,7},{6}}=>[5,3,8,7,1,6,4,2]=>[2,2,2,1,1] {{1,2,5},{3,8},{4,7},{6}}=>[2,5,8,7,1,6,4,3]=>[3,2,1,1,1] {{1,5},{2,7},{3,4,8},{6}}=>[5,7,4,8,1,6,2,3]=>[3,3,2] {{1,4,8},{2,7},{3,5},{6}}=>[4,7,5,8,3,6,2,1]=>[3,2,1,1,1] {{1,7},{2,6},{3,4,8},{5}}=>[7,6,4,8,5,2,1,3]=>[2,2,2,1,1] {{1,7},{2,3,6},{4,8},{5}}=>[7,3,6,8,5,2,1,4]=>[3,2,1,1,1] {{1,8},{2,3,6},{4,7},{5}}=>[8,3,6,7,5,2,4,1]=>[3,2,1,1,1] {{1,8},{2,3,5},{4,7},{6}}=>[8,3,5,7,2,6,4,1]=>[3,2,1,1,1] {{1,8},{2,5},{3,4,7},{6}}=>[8,5,4,7,2,6,3,1]=>[2,2,2,1,1] {{1,8},{2,4,7},{3,5},{6}}=>[8,4,5,7,3,6,2,1]=>[3,2,1,1,1] {{1,8},{2,4,7},{3,6},{5}}=>[8,4,6,7,5,3,2,1]=>[3,1,1,1,1,1] {{1,7},{2,4,8},{3,6},{5}}=>[7,4,6,8,5,3,1,2]=>[3,2,1,1,1] {{1,3,5},{2,8},{4,7},{6}}=>[3,8,5,7,1,6,4,2]=>[3,2,1,1,1] {{1,3,8},{2,7},{4,6},{5}}=>[3,7,8,6,5,4,2,1]=>[3,1,1,1,1,1] {{1,6},{2,4,8},{3,7},{5}}=>[6,4,7,8,5,1,3,2]=>[3,2,2,1] {{1,6},{2,4,7},{3,8},{5}}=>[6,4,8,7,5,1,2,3]=>[3,2,2,1] {{1,7},{2,4,6},{3,8},{5}}=>[7,4,8,6,5,2,1,3]=>[2,2,2,1,1] {{1,7},{2,4,8},{3,5},{6}}=>[7,4,5,8,3,6,1,2]=>[3,2,2,1] {{1,7},{2,3,5},{4,8},{6}}=>[7,3,5,8,2,6,1,4]=>[3,2,2,1] {{1,2,7},{3,8},{4,6},{5}}=>[2,7,8,6,5,4,1,3]=>[3,2,1,1,1] {{1,7},{2,8},{3,4,6},{5}}=>[7,8,4,6,5,3,1,2]=>[2,2,2,1,1] {{1,6},{2,8},{3,4,7},{5}}=>[6,8,4,7,5,1,3,2]=>[2,2,2,1,1] {{1,6},{2,3,7},{4,8},{5}}=>[6,3,7,8,5,1,2,4]=>[3,3,2] {{1,6},{2,7},{3,4,8},{5}}=>[6,7,4,8,5,1,2,3]=>[3,3,2] {{1,3,5},{2},{4,6,8},{7}}=>[3,2,5,6,1,8,7,4]=>[4,2,2] {{1,3},{2,4,6,8},{5},{7}}=>[3,4,1,6,5,8,7,2]=>[4,3,1] {{1},{2,4,6,8},{3},{5,7}}=>[1,4,3,6,7,8,5,2]=>[5,2,1] {{1,3},{2},{4,6,8},{5,7}}=>[3,2,1,6,7,8,5,4]=>[4,2,2] {{1,3,6},{2},{4,8},{5,7}}=>[3,2,6,8,7,1,5,4]=>[3,2,2,1] {{1,3,6},{2},{4,7},{5,8}}=>[3,2,6,7,8,1,4,5]=>[4,3,1] {{1,3,5},{2},{4,7},{6,8}}=>[3,2,5,7,1,8,4,6]=>[4,3,1] {{1,3,5,7},{2},{4,6},{8}}=>[3,2,5,6,7,4,1,8]=>[5,2,1] {{1,3,7},{2},{4,6,8},{5}}=>[3,2,7,6,5,8,1,4]=>[3,2,2,1] {{1,3,7},{2},{4,6},{5,8}}=>[3,2,7,6,8,4,1,5]=>[3,3,1,1] {{1,3,5,7},{2},{4,8},{6}}=>[3,2,5,8,7,6,1,4]=>[3,2,2,1] {{1,3},{2,4,8},{5,7},{6}}=>[3,4,1,8,7,6,5,2]=>[3,2,1,1,1] {{1},{2,4,8},{3,5,7},{6}}=>[1,4,5,8,7,6,3,2]=>[4,1,1,1,1] {{1,4},{2,8},{3,5,7},{6}}=>[4,8,5,1,7,6,3,2]=>[3,2,1,1,1] {{1,4},{2,5,7},{3,8},{6}}=>[4,5,8,1,7,6,2,3]=>[3,3,1,1] {{1,3},{2,5,7},{4,8},{6}}=>[3,5,1,8,7,6,2,4]=>[3,3,1,1] {{1,3},{2,7},{4,6,8},{5}}=>[3,7,1,6,5,8,2,4]=>[3,3,1,1] {{1,3,7},{2,4,6},{5},{8}}=>[3,4,7,6,5,2,1,8]=>[4,1,1,1,1] {{1,7},{2,4,6},{3},{5,8}}=>[7,4,3,6,8,2,1,5]=>[3,2,1,1,1] {{1,5,7},{2,4,8},{3},{6}}=>[5,4,3,8,7,6,1,2]=>[2,2,2,2] {{1},{2,8},{3,5,7},{4,6}}=>[1,8,5,6,7,4,3,2]=>[4,1,1,1,1] {{1,7},{2,4,6},{3,5},{8}}=>[7,4,5,6,3,2,1,8]=>[4,1,1,1,1] {{1,4,7},{2,6},{3,5},{8}}=>[4,6,5,7,3,2,1,8]=>[4,1,1,1,1] {{1},{2,5,8},{3,7},{4,6}}=>[1,5,7,6,8,4,3,2]=>[4,1,1,1,1] {{1},{2,5,8},{3,6},{4,7}}=>[1,5,6,7,8,3,4,2]=>[5,2,1] {{1},{2,4,8},{3,6},{5,7}}=>[1,4,6,8,7,3,5,2]=>[4,2,1,1] {{1},{2,4,6,8},{3,5},{7}}=>[1,4,5,6,3,8,7,2]=>[5,2,1] {{1,4},{2,6,8},{3,5},{7}}=>[4,6,5,1,3,8,7,2]=>[3,3,1,1] {{1,4},{2,5},{3,6,8},{7}}=>[4,5,6,1,2,8,7,3]=>[4,3,1] {{1,3},{2,5},{4,6,8},{7}}=>[3,5,1,6,2,8,7,4]=>[4,3,1] {{1,5},{2,4,6,8},{3},{7}}=>[5,4,3,6,1,8,7,2]=>[3,2,2,1] {{1,5},{2,4},{3,6,8},{7}}=>[5,4,6,2,1,8,7,3]=>[3,2,2,1] {{1},{2,6,8},{3,5,7},{4}}=>[1,6,5,4,7,8,3,2]=>[4,1,1,1,1] {{1,6},{2,8},{3,5,7},{4}}=>[6,8,5,4,7,1,3,2]=>[2,2,2,1,1] {{1,6},{2,4,8},{3},{5,7}}=>[6,4,3,8,7,1,5,2]=>[2,2,2,2] {{1,6},{2,4,7},{3},{5,8}}=>[6,4,3,7,8,1,2,5]=>[3,3,1,1] {{1,5},{2,4,7},{3},{6,8}}=>[5,4,3,7,1,8,2,6]=>[3,3,1,1] {{1,5,7},{2,4,6},{3},{8}}=>[5,4,3,6,7,2,1,8]=>[4,1,1,1,1] {{1,5,7},{2,4},{3,6},{8}}=>[5,4,6,2,7,3,1,8]=>[4,2,1,1] {{1},{2,6,8},{3,5},{4,7}}=>[1,6,5,7,3,8,4,2]=>[4,2,1,1] {{1},{2,4,6,8},{3,7},{5}}=>[1,4,7,6,5,8,3,2]=>[4,1,1,1,1] {{1,6},{2,7},{3,5,8},{4}}=>[6,7,5,4,8,1,2,3]=>[3,3,1,1] {{1,3,5},{2,7},{4},{6,8}}=>[3,7,5,4,1,8,2,6]=>[3,3,1,1] {{1,7},{2,6,8},{3,5},{4}}=>[7,6,5,4,3,8,1,2]=>[2,2,1,1,1,1] {{1,7},{2,6},{3,5,8},{4}}=>[7,6,5,4,8,2,1,3]=>[2,2,1,1,1,1] {{1,2},{3,4,6},{5,8},{7}}=>[2,1,4,6,8,3,7,5]=>[4,3,1] {{1,2},{3,6},{4,5,8},{7}}=>[2,1,6,5,8,3,7,4]=>[3,3,2] {{1,2},{3,5,6},{4,8},{7}}=>[2,1,5,8,6,3,7,4]=>[4,3,1] {{1,2,5,6},{3},{4,8},{7}}=>[2,5,3,8,6,1,7,4]=>[4,2,2] {{1,2,6},{3},{4,5,8},{7}}=>[2,6,3,5,8,1,7,4]=>[4,2,2] {{1,6},{2,3},{4,5,8},{7}}=>[6,3,2,5,8,1,7,4]=>[3,2,2,1] {{1,5,6},{2,3},{4,8},{7}}=>[5,3,2,8,6,1,7,4]=>[3,2,2,1] {{1,5,6},{2,3,8},{4},{7}}=>[5,3,8,4,6,1,7,2]=>[4,2,2] {{1,5,6},{2,8},{3,4},{7}}=>[5,8,4,3,6,1,7,2]=>[3,2,2,1] {{1,5},{2,8},{3,4,6},{7}}=>[5,8,4,6,1,3,7,2]=>[3,2,2,1] {{1,5},{2,3,8},{4,6},{7}}=>[5,3,8,6,1,4,7,2]=>[3,2,2,1] {{1,6},{2,3,5,8},{4},{7}}=>[6,3,5,4,8,1,7,2]=>[3,2,2,1] {{1,2,5},{3,8},{4,6},{7}}=>[2,5,8,6,1,4,7,3]=>[4,2,1,1] {{1,2,4},{3,6},{5},{7,8}}=>[2,4,6,1,5,3,8,7]=>[4,3,1] {{1,2,4,6},{3},{5,8},{7}}=>[2,4,3,6,8,1,7,5]=>[4,2,2] {{1,2,4},{3,8},{5,7},{6}}=>[2,4,8,1,7,6,5,3]=>[3,2,1,1,1] {{1,2,4},{3,8},{5},{6,7}}=>[2,4,8,1,5,7,6,3]=>[4,2,1,1] {{1,4},{2,3,8},{5},{6,7}}=>[4,3,8,1,5,7,6,2]=>[3,2,2,1] {{1,3,4},{2,8},{5},{6,7}}=>[3,8,4,1,5,7,6,2]=>[4,2,1,1] {{1,3,4},{2,8},{5,7},{6}}=>[3,8,4,1,7,6,5,2]=>[3,2,1,1,1] {{1,4},{2,3,8},{5,7},{6}}=>[4,3,8,1,7,6,5,2]=>[2,2,2,1,1] {{1,4,6},{2,3},{5,8},{7}}=>[4,3,2,6,8,1,7,5]=>[3,2,2,1] {{1,4},{2,3,6},{5},{7,8}}=>[4,3,6,1,5,2,8,7]=>[3,3,2] {{1,4},{2,3,6,8},{5},{7}}=>[4,3,6,1,5,8,7,2]=>[3,3,2] {{1,4},{2,3,6},{5,8},{7}}=>[4,3,6,1,8,2,7,5]=>[3,3,2] {{1,8},{2,4,5},{3,7},{6}}=>[8,4,7,5,2,6,3,1]=>[3,2,1,1,1] {{1,3,8},{2,6},{4,5},{7}}=>[3,6,8,5,4,2,7,1]=>[3,2,1,1,1] {{1,3,4},{2,6},{5},{7,8}}=>[3,6,4,1,5,2,8,7]=>[4,3,1] {{1,6},{2,5,8},{3,4},{7}}=>[6,5,4,3,8,1,7,2]=>[2,2,2,1,1] {{1,6},{2,4,5},{3,8},{7}}=>[6,4,8,5,2,1,7,3]=>[3,2,2,1] {{1,4,5},{2,8},{3,6},{7}}=>[4,8,6,5,1,3,7,2]=>[3,2,1,1,1] {{1,5,6},{2,4},{3,8},{7}}=>[5,4,8,2,6,1,7,3]=>[3,2,2,1] {{1,4,7},{2,8},{3},{5,6}}=>[4,8,3,7,6,5,1,2]=>[2,2,2,1,1] {{1,5,7},{2,8},{3,4},{6}}=>[5,8,4,3,7,6,1,2]=>[2,2,2,2] {{1,5,7},{2,3,8},{4},{6}}=>[5,3,8,4,7,6,1,2]=>[3,2,2,1] {{1,2,5},{3,7},{4},{6,8}}=>[2,5,7,4,1,8,3,6]=>[4,3,1] {{1,4},{2,7},{3},{5,6,8}}=>[4,7,3,1,6,8,2,5]=>[3,3,2] {{1,4},{2,6},{3},{5,7,8}}=>[4,6,3,1,7,2,8,5]=>[4,3,1] {{1,6,7},{2,5,8},{3},{4}}=>[6,5,3,4,8,7,1,2]=>[3,2,2,1] {{1,7},{2,5,6,8},{3},{4}}=>[7,5,3,4,6,8,1,2]=>[4,2,1,1] {{1,2,8},{3,6},{4},{5,7}}=>[2,8,6,4,7,3,5,1]=>[3,2,1,1,1] {{1,8},{2,5,6},{3},{4,7}}=>[8,5,3,7,6,2,4,1]=>[2,2,2,1,1] {{1,8},{2,5},{3},{4,6,7}}=>[8,5,3,6,2,7,4,1]=>[3,2,1,1,1] {{1,7,8},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,8,1]=>[3,2,1,1,1] {{1,3},{2,6},{4,7,8},{5}}=>[3,6,1,7,5,2,8,4]=>[4,3,1] {{1,6},{2,4,7,8},{3},{5}}=>[6,4,3,7,5,1,8,2]=>[3,2,2,1] {{1,7},{2,3,5,8},{4},{6}}=>[7,3,5,4,8,6,1,2]=>[3,2,2,1] {{1,7},{2},{3,4,6},{5,8}}=>[7,2,4,6,8,3,1,5]=>[4,2,1,1] {{1,7},{2},{3,5,6},{4,8}}=>[7,2,5,8,6,3,1,4]=>[3,2,2,1] {{1,6,7},{2},{3,5},{4,8}}=>[6,2,5,8,3,7,1,4]=>[3,2,2,1] {{1,5,6},{2},{3,8},{4,7}}=>[5,2,8,7,6,1,4,3]=>[2,2,2,1,1] {{1,6},{2},{3,4,8},{5,7}}=>[6,2,4,8,7,1,5,3]=>[3,2,2,1] {{1,2,6},{3},{4,8},{5,7}}=>[2,6,3,8,7,1,5,4]=>[3,2,2,1] {{1,2,6,8},{3},{4,7},{5}}=>[2,6,3,7,5,8,4,1]=>[4,2,1,1] {{1,6,8},{2},{3,7},{4,5}}=>[6,2,7,5,4,8,3,1]=>[3,2,1,1,1] {{1,5,6,8},{2},{3,7},{4}}=>[5,2,7,4,6,8,3,1]=>[4,2,1,1] {{1,5,8},{2},{3,6,7},{4}}=>[5,2,6,4,8,7,3,1]=>[3,3,1,1] {{1},{2},{3},{4},{5},{6},{7},{8},{9}}=>[1,2,3,4,5,6,7,8,9]=>[9] {{1},{2},{3},{4},{5},{6},{7},{8,9}}=>[1,2,3,4,5,6,7,9,8]=>[8,1] {{1},{2},{3},{4},{5},{6},{7,9},{8}}=>[1,2,3,4,5,6,9,8,7]=>[7,1,1] {{1},{2},{3},{4},{5},{6,9},{7},{8}}=>[1,2,3,4,5,9,7,8,6]=>[7,1,1] {{1},{2},{3},{4},{5,9},{6},{7},{8}}=>[1,2,3,4,9,6,7,8,5]=>[7,1,1] {{1},{2},{3},{4,9},{5},{6},{7},{8}}=>[1,2,3,9,5,6,7,8,4]=>[7,1,1] {{1},{2},{3,9},{4},{5},{6},{7},{8}}=>[1,2,9,4,5,6,7,8,3]=>[7,1,1] {{1},{2,9},{3},{4},{5},{6},{7},{8}}=>[1,9,3,4,5,6,7,8,2]=>[7,1,1] {{1,9},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,1]=>[7,1,1] {{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[1,2,3,4,5,6,7,8,9,10]=>[10] {{1},{2},{3},{4},{5},{6},{7},{8},{9,10}}=>[1,2,3,4,5,6,7,8,10,9]=>[9,1] {{1},{2},{3},{4},{5},{6},{7,8,9}}=>[1,2,3,4,5,6,8,9,7]=>[8,1] {{1},{2},{3},{4},{5},{6},{7},{8,10},{9}}=>[1,2,3,4,5,6,7,10,9,8]=>[8,1,1] {{1},{2},{3},{4},{5},{6},{7,10},{8},{9}}=>[1,2,3,4,5,6,10,8,9,7]=>[8,1,1] {{1},{2},{3},{4},{5},{6,10},{7},{8},{9}}=>[1,2,3,4,5,10,7,8,9,6]=>[8,1,1] {{1},{2},{3},{4},{5,10},{6},{7},{8},{9}}=>[1,2,3,4,10,6,7,8,9,5]=>[8,1,1] {{1},{2},{3},{4,10},{5},{6},{7},{8},{9}}=>[1,2,3,10,5,6,7,8,9,4]=>[8,1,1] {{1},{2},{3,10},{4},{5},{6},{7},{8},{9}}=>[1,2,10,4,5,6,7,8,9,3]=>[8,1,1] {{1,9},{2,3},{4},{5},{6},{7},{8}}=>[9,3,2,4,5,6,7,8,1]=>[6,1,1,1] {{1},{2,10},{3},{4},{5},{6},{7},{8},{9}}=>[1,10,3,4,5,6,7,8,9,2]=>[8,1,1] {{1,10},{2},{3},{4},{5},{6},{7},{8},{9}}=>[10,2,3,4,5,6,7,8,9,1]=>[8,1,1] {{1,2,3,4,5,6,7,8},{9}}=>[2,3,4,5,6,7,8,1,9]=>[8,1] {{1},{2,3,4,5,6,7,8,9}}=>[1,3,4,5,6,7,8,9,2]=>[8,1] {{1,2,3,4,5,6,7,8,9},{10}}=>[2,3,4,5,6,7,8,9,1,10]=>[9,1] {{1,2,3,4,5,6,8},{7},{9}}=>[2,3,4,5,6,8,7,1,9]=>[7,1,1] {{1},{2,3,4,5,6,7,9},{8}}=>[1,3,4,5,6,7,9,8,2]=>[7,1,1] {{1},{2,3,4,5,6,7,8,9,10}}=>[1,3,4,5,6,7,8,9,10,2]=>[9,1] {{1,2,3,4,5,6,7,8,9,10},{11}}=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1] {{1,2,3,4,5,6,7,9},{8},{10}}=>[2,3,4,5,6,7,9,8,1,10]=>[8,1,1] {{1,2,3,4,5,7,8},{6},{9}}=>[2,3,4,5,7,6,8,1,9]=>[7,1,1] {{1},{2,3,4,5,6,8,9},{7}}=>[1,3,4,5,6,8,7,9,2]=>[7,1,1] {{1},{2,3,4,5,6,7,8,10},{9}}=>[1,3,4,5,6,7,8,10,9,2]=>[8,1,1] {{1},{2,3,4,5,6,7,8,9,10,11}}=>[1,3,4,5,6,7,8,9,10,11,2]=>[10,1] {{1,3,6,8},{2},{4},{5,7}}=>[3,2,6,4,7,8,5,1]=>[4,3,1] {{1,4,8},{2},{3,6},{5,7}}=>[4,2,6,8,7,3,5,1]=>[3,3,1,1] {{1,3,8},{2},{4,6},{5,7}}=>[3,2,8,6,7,4,5,1]=>[3,3,1,1] {{1,3},{2,5,8},{4,7},{6}}=>[3,5,1,7,8,6,4,2]=>[4,2,1,1] {{1,5},{2,4,7,8},{3},{6}}=>[5,4,3,7,1,6,8,2]=>[3,2,2,1] {{1,3},{2,5,8},{4,6},{7}}=>[3,5,1,6,8,4,7,2]=>[4,3,1] {{1,6},{2,4},{3,5,8},{7}}=>[6,4,5,2,8,1,7,3]=>[3,2,2,1] {{1,4},{2,6,7},{3,8},{5}}=>[4,6,8,1,5,7,2,3]=>[3,3,2] {{1,2,5},{3,6},{4},{7,8}}=>[2,5,6,4,1,3,8,7]=>[4,3,1] {{1,6,7},{2,8},{3},{4,5}}=>[6,8,3,5,4,7,1,2]=>[3,2,2,1] {{1,5,6},{2,3},{4,7},{8}}=>[5,3,2,7,6,1,4,8]=>[3,2,2,1] {{1,4,6},{2,3},{5,7},{8}}=>[4,3,2,6,7,1,5,8]=>[4,2,1,1] {{1,4},{2,3,6},{5,7},{8}}=>[4,3,6,1,7,2,5,8]=>[4,3,1] {{1,4},{2,3,7},{5},{6,8}}=>[4,3,7,1,5,8,2,6]=>[3,3,2] {{1,3,4},{2,7},{5},{6,8}}=>[3,7,4,1,5,8,2,6]=>[4,3,1] {{1,2,7},{3},{4,5},{6,8}}=>[2,7,3,5,4,8,1,6]=>[4,2,1,1] {{1,6},{2,4},{3,5,7},{8}}=>[6,4,5,2,7,1,3,8]=>[4,2,1,1] {{1,3},{2,5,7},{4,6},{8}}=>[3,5,1,6,7,4,2,8]=>[5,2,1] {{1,5},{2,7,8},{3},{4,6}}=>[5,7,3,6,1,4,8,2]=>[3,2,2,1] {{1,5},{2,6},{3,7,8},{4}}=>[5,6,7,4,1,2,8,3]=>[4,3,1] {{1,3},{2,4,5,6},{7,8}}=>[3,4,1,5,6,2,8,7]=>[5,3] {{1,4},{2,3,5,6},{7,8}}=>[4,3,5,1,6,2,8,7]=>[4,3,1] {{1,4},{2,3,5,7},{6,8}}=>[4,3,5,1,7,8,2,6]=>[4,3,1] {{1,3},{2,4,5,7},{6,8}}=>[3,4,1,5,7,8,2,6]=>[5,3] {{1,3},{2,4,5,6,7,8}}=>[3,4,1,5,6,7,8,2]=>[6,2] {{1,4},{2,3,5,6,7,8}}=>[4,3,5,1,6,7,8,2]=>[5,2,1] {{1,2},{3,4,6,7},{5,8}}=>[2,1,4,6,8,7,3,5]=>[4,3,1] {{1,3},{2,4,6,7},{5,8}}=>[3,4,1,6,8,7,2,5]=>[4,3,1] {{1,5},{2,3,6,7},{4,8}}=>[5,3,6,8,1,7,2,4]=>[3,3,2] {{1,3},{2,4},{5,6,7,8}}=>[3,4,1,2,6,7,8,5]=>[5,3] {{1,4},{2,5},{3,6,7,8}}=>[4,5,6,1,2,7,8,3]=>[5,3] {{1,3},{2,5},{4,6,7,8}}=>[3,5,1,6,2,7,8,4]=>[5,3] {{1,2},{3,5},{4,6,7,8}}=>[2,1,5,6,3,7,8,4]=>[5,3] {{1,2},{3,6},{4,5,7,8}}=>[2,1,6,5,7,3,8,4]=>[4,3,1] {{1,5},{2,6},{3,4,7,8}}=>[5,6,4,7,1,2,8,3]=>[4,3,1] {{1,2},{3,5,6,8},{4,7}}=>[2,1,5,7,6,8,4,3]=>[4,2,1,1] {{1,4},{2,5,6,8},{3,7}}=>[4,5,7,1,6,8,3,2]=>[4,2,1,1] {{1,5},{2,4,6,8},{3,7}}=>[5,4,7,6,1,8,3,2]=>[3,2,2,1] {{1,4,5,8},{2,3,6,7}}=>[4,3,6,5,8,7,2,1]=>[3,3,1,1] {{1,4},{2},{3,5,6},{7,8}}=>[4,2,5,1,6,3,8,7]=>[4,3,1] {{1,5},{2},{3,4,6},{7,8}}=>[5,2,4,6,1,3,8,7]=>[4,3,1] {{1,6,7},{2},{3,4,8},{5}}=>[6,2,4,8,5,7,1,3]=>[4,2,2] {{1,7},{2},{3,4,8},{5,6}}=>[7,2,4,8,6,5,1,3]=>[3,2,2,1] {{1,4,6,7},{2},{3,8},{5}}=>[4,2,8,6,5,7,1,3]=>[3,2,2,1] {{1,3,6},{2},{4},{5,7,8}}=>[3,2,6,4,7,1,8,5]=>[4,3,1] {{1,2},{3,6},{4},{5,7,8}}=>[2,1,6,4,7,3,8,5]=>[4,3,1] {{1,4},{2},{3,5,7,8},{6}}=>[4,2,5,1,7,6,8,3]=>[4,2,2] {{1,6,7},{2,3},{4},{5,8}}=>[6,3,2,4,8,7,1,5]=>[3,2,2,1] {{1,6,7},{2,4},{3},{5,8}}=>[6,4,3,2,8,7,1,5]=>[2,2,2,1,1] {{1,3,6,7},{2},{4},{5,8}}=>[3,2,6,4,8,7,1,5]=>[3,3,2] {{1,3,7},{2},{4},{5,6,8}}=>[3,2,7,4,6,8,1,5]=>[4,2,2] {{1,2},{3,7},{4},{5,6,8}}=>[2,1,7,4,6,8,3,5]=>[4,3,1] {{1,4,7},{2},{3,8},{5,6}}=>[4,2,8,7,6,5,1,3]=>[2,2,2,1,1] {{1,7},{2,4,5},{3},{6,8}}=>[7,4,3,5,2,8,1,6]=>[3,2,1,1,1] {{1,5,8},{2,3},{4,6},{7}}=>[5,3,2,6,8,4,7,1]=>[3,3,1,1] {{1,4},{2},{3,6,8},{5,7}}=>[4,2,6,1,7,8,5,3]=>[4,2,2] {{1},{2,5,6},{3,7},{4,8}}=>[1,5,7,8,6,2,3,4]=>[4,3,1] {{1},{2,5},{3,7},{4,6,8}}=>[1,5,7,6,2,8,3,4]=>[4,3,1] {{1},{2,3,6},{4,8},{5,7}}=>[1,3,6,8,7,2,5,4]=>[4,2,1,1] {{1},{2},{3,4,6,8},{5,7}}=>[1,2,4,6,7,8,5,3]=>[6,1,1] {{1},{2},{3,6},{4,5,7,8}}=>[1,2,6,5,7,3,8,4]=>[5,2,1] {{1},{2,5},{3,6},{4,7,8}}=>[1,5,6,7,2,3,8,4]=>[5,3] {{1},{2},{3,5,6,7},{4,8}}=>[1,2,5,8,6,7,3,4]=>[5,2,1] {{1},{2},{3,5},{4,6,7,8}}=>[1,2,5,6,3,7,8,4]=>[6,2] {{1},{2,4},{3,6,8},{5,7}}=>[1,4,6,2,7,8,5,3]=>[5,2,1] {{1},{2,4,7},{3,6},{5,8}}=>[1,4,6,7,8,3,2,5]=>[5,2,1] {{1,3},{2,8},{4,5,7},{6}}=>[3,8,1,5,7,6,4,2]=>[3,2,1,1,1] {{1,7},{2,3,4,8},{5},{6}}=>[7,3,4,8,5,6,1,2]=>[4,2,2] {{1},{2,4,7},{3},{5,6,8}}=>[1,4,3,7,6,8,2,5]=>[4,2,2] {{1,7},{2},{3,4,5},{6,8}}=>[7,2,4,5,3,8,1,6]=>[4,2,1,1] {{1},{2},{3,7},{4,5,6,8}}=>[1,2,7,5,6,8,3,4]=>[5,2,1] {{1},{2},{3,5,7},{4,6,8}}=>[1,2,5,6,7,8,3,4]=>[6,2] {{1},{2,6},{3,5,7},{4,8}}=>[1,6,5,8,7,2,3,4]=>[4,2,2] {{1,5},{2},{3},{4,6,7,8}}=>[5,2,3,6,1,7,8,4]=>[5,2,1] {{1},{2,6},{3},{4,5,7,8}}=>[1,6,3,5,7,2,8,4]=>[5,2,1] {{1,6},{2},{3,4,7},{5,8}}=>[6,2,4,7,8,1,3,5]=>[4,3,1] {{1},{2,6},{3,7},{4,5,8}}=>[1,6,7,5,8,2,3,4]=>[4,3,1] {{1,3,6},{2,5},{4},{7,8}}=>[3,5,6,4,2,1,8,7]=>[4,2,1,1] {{1,5},{2,4,6},{3},{7,8}}=>[5,4,3,6,1,2,8,7]=>[3,3,1,1] {{1,4,5},{2,6},{3},{7,8}}=>[4,6,3,5,1,2,8,7]=>[3,3,2] {{1,5,8},{2,7},{3,4},{6}}=>[5,7,4,3,8,6,2,1]=>[3,2,1,1,1] {{1,6,7},{2,8},{3,5},{4}}=>[6,8,5,4,3,7,1,2]=>[2,2,2,1,1] {{1,6},{2,4,5,8},{3},{7}}=>[6,4,3,5,8,1,7,2]=>[3,2,2,1] {{1,5},{2,7},{3},{4,6,8}}=>[5,7,3,6,1,8,2,4]=>[3,3,2] {{1,5,8},{2,3},{4,7},{6}}=>[5,3,2,7,8,6,4,1]=>[3,2,2,1] {{1,7},{2,3},{4,6,8},{5}}=>[7,3,2,6,5,8,1,4]=>[3,2,2,1] {{1,6,7},{2,3},{4,8},{5}}=>[6,3,2,8,5,7,1,4]=>[3,2,2,1] {{1,8},{2,5,6},{3,7},{4}}=>[8,5,7,4,6,2,3,1]=>[2,2,2,1,1] {{1,3,8},{2,6},{4},{5,7}}=>[3,6,8,4,7,2,5,1]=>[3,2,2,1] {{1,5},{2,6,7},{3},{4,8}}=>[5,6,3,8,1,7,2,4]=>[3,3,2] {{1,6,8},{2,5},{3},{4,7}}=>[6,5,3,7,2,8,4,1]=>[3,2,1,1,1] {{1,5},{2,6,8},{3},{4,7}}=>[5,6,3,7,1,8,4,2]=>[4,2,2] {{1,5,7},{2,6},{3},{4,8}}=>[5,6,3,8,7,2,1,4]=>[3,2,2,1] {{1,5,8},{2,6},{3},{4,7}}=>[5,6,3,7,8,2,4,1]=>[4,2,1,1] {{1,7},{2,5,8},{3,6},{4}}=>[7,5,6,4,8,3,1,2]=>[3,2,1,1,1] {{1,7},{2,5,6},{3},{4,8}}=>[7,5,3,8,6,2,1,4]=>[2,2,2,1,1] {{1,6,7},{2,5},{3},{4,8}}=>[6,5,3,8,2,7,1,4]=>[2,2,2,1,1] {{1,6},{2,5,8},{3,7},{4}}=>[6,5,7,4,8,1,3,2]=>[3,2,1,1,1] {{1,5,6},{2,8},{3,7},{4}}=>[5,8,7,4,6,1,3,2]=>[2,2,2,1,1] {{1,5},{2,7,8},{3,6},{4}}=>[5,7,6,4,1,3,8,2]=>[3,2,1,1,1] {{1,7},{2,5},{3},{4,6,8}}=>[7,5,3,6,2,8,1,4]=>[3,2,1,1,1] {{1,6,8},{2,5},{3,7},{4}}=>[6,5,7,4,2,8,3,1]=>[3,2,1,1,1] {{1,5,7},{2,8},{3},{4,6}}=>[5,8,3,6,7,4,1,2]=>[3,2,2,1] {{1,5},{2,8},{3},{4,6,7}}=>[5,8,3,6,1,7,4,2]=>[3,2,2,1] {{1,5},{2,6,7},{3,8},{4}}=>[5,6,8,4,1,7,2,3]=>[3,3,2] {{1,3,8},{2,4,6},{5},{7}}=>[3,4,8,6,5,2,7,1]=>[4,1,1,1,1] {{1,7},{2,8},{3,4,5},{6}}=>[7,8,4,5,3,6,1,2]=>[3,2,2,1] {{1,2,7},{3,8},{4,5},{6}}=>[2,7,8,5,4,6,1,3]=>[3,2,2,1] {{1,6},{2},{3,7,8},{4,5}}=>[6,2,7,5,4,1,8,3]=>[3,2,2,1] {{1,3,6,7},{2},{4,8},{5}}=>[3,2,6,8,5,7,1,4]=>[3,3,2] {{1,4,8},{2},{3,6,7},{5}}=>[4,2,6,8,5,7,3,1]=>[3,3,1,1] {{1,6},{2},{3,5,7,8},{4}}=>[6,2,5,4,7,1,8,3]=>[4,2,1,1] {{1,6,7},{2},{3,5,8},{4}}=>[6,2,5,4,8,7,1,3]=>[3,2,2,1] {{1,4},{2,6,8},{3},{5,7}}=>[4,6,3,1,7,8,5,2]=>[4,2,2] {{1,8},{2,4,6},{3},{5,7}}=>[8,4,3,6,7,2,5,1]=>[3,2,1,1,1] {{1,4},{2},{3,5,7},{6,8}}=>[4,2,5,1,7,8,3,6]=>[4,3,1] {{1,5,8},{2},{3,4,7},{6}}=>[5,2,4,7,8,6,3,1]=>[4,2,1,1] {{1,2},{3,4,7},{5,8},{6}}=>[2,1,4,7,8,6,3,5]=>[4,3,1] {{1,2},{3,5},{4,6,8},{7}}=>[2,1,5,6,3,8,7,4]=>[4,3,1] {{1,2,6},{3},{4,7},{5,8}}=>[2,6,3,7,8,1,4,5]=>[4,3,1] {{1,2,6},{3,7},{4},{5,8}}=>[2,6,7,4,8,1,3,5]=>[4,3,1] {{1,2,5},{3},{4,6,8},{7}}=>[2,5,3,6,1,8,7,4]=>[4,2,2] {{1,3},{2,8},{4,5,6},{7}}=>[3,8,1,5,6,4,7,2]=>[4,2,1,1] {{1,2,4,7},{3},{5,8},{6}}=>[2,4,3,7,8,6,1,5]=>[4,2,2] {{1,3,7},{2,5},{4},{6,8}}=>[3,5,7,4,2,8,1,6]=>[4,2,1,1] {{1,2,7},{3,4},{5},{6,8}}=>[2,7,4,3,5,8,1,6]=>[4,2,1,1] {{1,2,4,7},{3},{5},{6,8}}=>[2,4,3,7,5,8,1,6]=>[4,3,1] {{1,2,4},{3},{5,7},{6,8}}=>[2,4,3,1,7,8,5,6]=>[4,3,1] {{1,3},{2,4},{5,6,8},{7}}=>[3,4,1,2,6,8,7,5]=>[4,3,1] {{1,3},{2,4,7},{5,8},{6}}=>[3,4,1,7,8,6,2,5]=>[4,3,1] {{1,6},{2,3,4,8},{5},{7}}=>[6,3,4,8,5,1,7,2]=>[4,2,2] {{1,4},{2,5,6},{3,8},{7}}=>[4,5,8,1,6,2,7,3]=>[4,3,1] {{1,2,5,8},{3},{4,6},{7}}=>[2,5,3,6,8,4,7,1]=>[4,3,1] {{1,2},{3,5,8},{4,6},{7}}=>[2,1,5,6,8,4,7,3]=>[4,3,1] {{1,2,7},{3,5},{4},{6,8}}=>[2,7,5,4,3,8,1,6]=>[3,2,1,1,1] {{1,3,7},{2,4},{5},{6,8}}=>[3,4,7,2,5,8,1,6]=>[4,3,1] {{1},{2,3,4,7},{5},{6,8}}=>[1,3,4,7,5,8,2,6]=>[5,2,1] {{1,4},{2,5,7},{3},{6,8}}=>[4,5,3,1,7,8,2,6]=>[4,3,1] {{1},{2,3,4},{5,7},{6,8}}=>[1,3,4,2,7,8,5,6]=>[5,3] {{1},{2,4,5},{3,7},{6,8}}=>[1,4,7,5,2,8,3,6]=>[4,3,1] {{1},{2,3,5},{4,7},{6,8}}=>[1,3,5,7,2,8,4,6]=>[5,3] {{1,3,5,7,9},{2,4,6,8,10}}=>[3,4,5,6,7,8,9,10,1,2]=>[8,2] {{1,2,3,4,9},{5,6,7,8,10}}=>[2,3,4,9,6,7,8,10,1,5]=>[7,2,1] {{1,2,3,4,5},{6,7,8,9,10}}=>[2,3,4,5,1,7,8,9,10,6]=>[8,2] {{1,2,3,4,5,6},{7,8,9,10,11,12}}=>[2,3,4,5,6,1,8,9,10,11,12,7]=>[10,2] {{1,6},{2,4},{3,7,8},{5}}=>[6,4,7,2,5,1,8,3]=>[3,2,2,1] {{1,5,6},{2,3,4,7,8}}=>[5,3,4,7,6,1,8,2]=>[4,2,2] {{1,7},{2,8},{3,4},{5},{6}}=>[7,8,4,3,5,6,1,2]=>[3,2,2,1] {{1,5,7},{2,4,6,8},{3}}=>[5,4,3,6,7,8,1,2]=>[4,2,1,1] {{1,6},{2,4},{3,8},{5},{7}}=>[6,4,8,2,5,1,7,3]=>[3,2,2,1] {{1,5},{2,3},{4,6},{7},{8}}=>[5,3,2,6,1,4,7,8]=>[4,2,1,1] {{1,5},{2,3},{4,7,8},{6}}=>[5,3,2,7,1,6,8,4]=>[3,2,2,1] {{1,3,6},{2},{4,7},{5},{8}}=>[3,2,6,7,5,1,4,8]=>[4,2,2] {{1,3},{2},{4,7},{5,8},{6}}=>[3,2,1,7,8,6,4,5]=>[3,3,2] {{1},{2,4,7},{3},{5,8},{6}}=>[1,4,3,7,8,6,2,5]=>[4,2,2] {{1,4,8},{2,6,7},{3},{5}}=>[4,6,3,8,5,7,2,1]=>[3,3,1,1] {{1,4,6},{2,8},{3},{5,7}}=>[4,8,3,6,7,1,5,2]=>[3,2,2,1] {{1,5,8},{2,3,7},{4},{6}}=>[5,3,7,4,8,6,2,1]=>[3,3,1,1] {{1},{2,5,8},{3,7},{4},{6}}=>[1,5,7,4,8,6,3,2]=>[4,2,1,1] {{1,7},{2,5},{3,4,6},{8}}=>[7,5,4,6,2,3,1,8]=>[3,2,1,1,1] {{1},{2,8},{3,6},{4,5,7}}=>[1,8,6,5,7,3,4,2]=>[3,2,1,1,1] {{1,4},{2,5,7},{3},{6},{8}}=>[4,5,3,1,7,6,2,8]=>[4,2,2] {{1,4},{2,5},{3},{6,8},{7}}=>[4,5,3,1,2,8,7,6]=>[3,3,2] {{1,5},{2,3,6,8},{4},{7}}=>[5,3,6,4,1,8,7,2]=>[3,3,2] {{1},{2,5},{3,6,8},{4},{7}}=>[1,5,6,4,2,8,7,3]=>[4,2,2] {{1},{2,5,6,7},{3,8},{4}}=>[1,5,8,4,6,7,2,3]=>[4,2,2] {{1},{2,6},{3,7},{4,8},{5}}=>[1,6,7,8,5,2,3,4]=>[4,3,1] {{1},{2,6},{3,7},{4},{5},{8}}=>[1,6,7,4,5,2,3,8]=>[4,2,2] {{1},{2,5,6},{3,4,7},{8}}=>[1,5,4,7,6,2,3,8]=>[4,2,2] {{1,6,7},{2,3,8},{4},{5}}=>[6,3,8,4,5,7,1,2]=>[4,2,2] {{1},{2,4,6},{3,5,7},{8}}=>[1,4,5,6,7,2,3,8]=>[6,2] {{1},{2,3,5},{4,6,7},{8}}=>[1,3,5,6,2,7,4,8]=>[6,2] {{1,6},{2},{3,8},{4},{5},{7}}=>[6,2,8,4,5,1,7,3]=>[4,2,2] {{1},{2},{3,5},{4,6},{7},{8}}=>[1,2,5,6,3,4,7,8]=>[6,2] {{1,5},{2},{3},{4,8},{6},{7}}=>[5,2,3,8,1,6,7,4]=>[4,2,2] {{1},{2,5},{3},{4,7},{6},{8}}=>[1,5,3,7,2,6,4,8]=>[4,2,2] {{1,2,7},{3},{4,5,8},{6}}=>[2,7,3,5,8,6,1,4]=>[4,2,2] {{1},{2,4,8},{3,7},{5,6}}=>[1,4,7,8,6,5,3,2]=>[4,1,1,1,1] {{1},{2,4},{3,7,8},{5,6}}=>[1,4,7,2,6,5,8,3]=>[4,2,1,1] {{1,3},{2,6,8},{4},{5,7}}=>[3,6,1,4,7,8,5,2]=>[4,3,1] {{1},{2,6,8},{3,4},{5,7}}=>[1,6,4,3,7,8,5,2]=>[4,2,1,1] {{1,4,7},{2,6},{3},{5,8}}=>[4,6,3,7,8,2,1,5]=>[4,2,1,1] {{1,3,4},{2},{5,7},{6,8}}=>[3,2,4,1,7,8,5,6]=>[4,3,1] {{1,3},{2,4},{5,7,8},{6}}=>[3,4,1,2,7,6,8,5]=>[4,3,1] {{1,5},{2,6,7,8},{3},{4}}=>[5,6,3,4,1,7,8,2]=>[4,2,2] {{1,5},{2},{3,6,7,8},{4}}=>[5,2,6,4,1,7,8,3]=>[4,2,2] {{1,4,5,8},{2},{3,7},{6}}=>[4,2,7,5,8,6,3,1]=>[3,3,1,1] {{1,5},{2,4,6},{3,8},{7}}=>[5,4,8,6,1,2,7,3]=>[3,3,2] {{1,4,5},{2},{3,7},{6,8}}=>[4,2,7,5,1,8,3,6]=>[3,3,2] {{1,6},{2,3,8},{4},{5,7}}=>[6,3,8,4,7,1,5,2]=>[3,2,2,1] {{1},{2,3},{4,5,7},{6,8}}=>[1,3,2,5,7,8,4,6]=>[5,3] {{1},{2,3},{4,6,8},{5,7}}=>[1,3,2,6,7,8,5,4]=>[5,2,1] {{1},{2,3,5,7},{4,8},{6}}=>[1,3,5,8,7,6,2,4]=>[4,2,1,1] {{1},{2,3,7},{4,6},{5,8}}=>[1,3,7,6,8,4,2,5]=>[4,2,1,1] {{1},{2,3,6},{4,7},{5,8}}=>[1,3,6,7,8,2,4,5]=>[5,3] {{1,5},{2},{3,4,6,7},{8}}=>[5,2,4,6,1,7,3,8]=>[5,2,1] {{1,3},{2,5,7,8},{4,6}}=>[3,5,1,6,7,4,8,2]=>[5,2,1] {{1,4,5,7},{2},{3,6},{8}}=>[4,2,6,5,7,3,1,8]=>[4,2,1,1] {{1,4},{2},{3,5,6,8},{7}}=>[4,2,5,1,6,8,7,3]=>[4,2,2] {{1,3,8},{2,5,7},{4},{6}}=>[3,5,8,4,7,6,2,1]=>[3,2,1,1,1] {{1,5,8},{2,4,7},{3},{6}}=>[5,4,3,7,8,6,2,1]=>[3,2,1,1,1] {{1,6,8},{2,4},{3},{5,7}}=>[6,4,3,2,7,8,5,1]=>[3,2,1,1,1] {{1,7},{2,4},{3,5,6,8}}=>[7,4,5,2,6,8,1,3]=>[4,2,1,1] {{1,4},{2,7},{3,5,6,8}}=>[4,7,5,1,6,8,2,3]=>[4,3,1] {{1,6},{2,4,5},{3,7},{8}}=>[6,4,7,5,2,1,3,8]=>[3,2,2,1] {{1},{2,5,7},{3,8},{4},{6}}=>[1,5,8,4,7,6,2,3]=>[3,2,2,1] {{1},{2,7},{3,5,6},{4,8}}=>[1,7,5,8,6,3,2,4]=>[3,2,2,1] {{1,5,7},{2,3,6},{4},{8}}=>[5,3,6,4,7,2,1,8]=>[4,2,1,1] {{1,4},{2,3,8},{5,6},{7}}=>[4,3,8,1,6,5,7,2]=>[3,2,2,1] {{1,2,6},{3,8},{4},{5,7}}=>[2,6,8,4,7,1,5,3]=>[3,2,2,1] {{1},{2,6},{3,8},{4},{5,7}}=>[1,6,8,4,7,2,5,3]=>[3,2,2,1] {{1,7},{2,8},{3},{4},{5,6}}=>[7,8,3,4,6,5,1,2]=>[3,2,2,1] {{1,5,6,7},{2},{3,4,8}}=>[5,2,4,8,6,7,1,3]=>[4,2,2] {{1,6},{2},{3,8},{4},{5,7}}=>[6,2,8,4,7,1,5,3]=>[3,2,2,1] {{1},{2},{3,5},{4,8},{6,7}}=>[1,2,5,8,3,7,6,4]=>[4,2,1,1] {{1,2,5},{3},{4,8},{6,7}}=>[2,5,3,8,1,7,6,4]=>[3,2,2,1] {{1},{2,7},{3,8},{4,5,6}}=>[1,7,8,5,6,4,2,3]=>[3,2,2,1] {{1,6},{2,3,5},{4,7},{8}}=>[6,3,5,7,2,1,4,8]=>[4,2,1,1] {{1,4,6},{2,7},{3},{5,8}}=>[4,7,3,6,8,1,2,5]=>[3,3,2] {{1},{2,5},{3,8},{4,6,7}}=>[1,5,8,6,2,7,4,3]=>[4,2,1,1] {{1},{2,3,7},{4,8},{5},{6}}=>[1,3,7,8,5,6,2,4]=>[4,2,2] {{1,4,7},{2,3},{5},{6,8}}=>[4,3,2,7,5,8,1,6]=>[3,3,1,1] {{1},{2,5,7},{3,4,8},{6}}=>[1,5,4,8,7,6,2,3]=>[3,2,2,1] {{1},{2,4},{3,5},{6,7},{8}}=>[1,4,5,2,3,7,6,8]=>[5,3] {{1},{2,4,8},{3,5},{6},{7}}=>[1,4,5,8,3,6,7,2]=>[5,2,1] {{1},{2,5,7},{3,8},{4,6}}=>[1,5,8,6,7,4,2,3]=>[4,2,1,1] {{1},{2,5},{3,6},{4,7},{8}}=>[1,5,6,7,2,3,4,8]=>[5,3] {{1},{2,5},{3,6,8},{4,7}}=>[1,5,6,7,2,8,4,3]=>[5,2,1] {{1},{2,3,6,7},{4,8},{5}}=>[1,3,6,8,5,7,2,4]=>[4,2,2] {{1,3,5,8},{2},{4,7},{6}}=>[3,2,5,7,8,6,4,1]=>[4,2,1,1] {{1,5,6},{2},{3,7,8},{4}}=>[5,2,7,4,6,1,8,3]=>[4,2,2] {{1,4,7},{2},{3,5,8},{6}}=>[4,2,5,7,8,6,1,3]=>[4,2,2] {{1,4},{2,6,8},{3,7},{5}}=>[4,6,7,1,5,8,3,2]=>[4,2,1,1] {{1,2},{3},{4,6},{5,7,8}}=>[2,1,3,6,7,4,8,5]=>[5,3] {{1},{2},{3,5,6,8},{4,7}}=>[1,2,5,7,6,8,4,3]=>[5,1,1,1] {{1},{2,6},{3,7,8},{4,5}}=>[1,6,7,5,4,2,8,3]=>[4,2,1,1] {{1},{2},{3,6,8},{4,5,7}}=>[1,2,6,5,7,8,4,3]=>[5,1,1,1] {{1},{2,3},{4,7},{5,6,8}}=>[1,3,2,7,6,8,4,5]=>[4,3,1] {{1,7,8},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,8,1]=>[4,2,1,1] {{1,3},{2},{4,6},{5,7,8}}=>[3,2,1,6,7,4,8,5]=>[4,3,1] {{1},{2,4,6,7},{3},{5,8}}=>[1,4,3,6,8,7,2,5]=>[4,2,2] {{1},{2,5},{3,7,8},{4,6}}=>[1,5,7,6,2,4,8,3]=>[4,2,1,1] {{1,3},{2,4,5},{6,8},{7}}=>[3,4,1,5,2,8,7,6]=>[4,3,1] {{1,3},{2,4,5},{6,7},{8}}=>[3,4,1,5,2,7,6,8]=>[5,3] {{1,4},{2,3,7,8},{5},{6}}=>[4,3,7,1,5,6,8,2]=>[4,2,2] {{1,3,8},{2,4},{5},{6,7}}=>[3,4,8,2,5,7,6,1]=>[4,2,1,1] {{1,5},{2,3,7},{4,6},{8}}=>[5,3,7,6,1,4,2,8]=>[3,2,2,1] {{1,4},{2,3,6,7},{5},{8}}=>[4,3,6,1,5,7,2,8]=>[4,2,2] {{1,5,7},{2,6},{3,4},{8}}=>[5,6,4,3,7,2,1,8]=>[4,1,1,1,1] {{1,6},{2,5,8},{3,4,7}}=>[6,5,4,7,8,1,3,2]=>[3,2,1,1,1] {{1,6},{2,7,8},{3,4},{5}}=>[6,7,4,3,5,1,8,2]=>[3,2,2,1] {{1,5},{2,7},{3,4,6,8}}=>[5,7,4,6,1,8,2,3]=>[3,3,2] {{1},{2,4,5,8},{3,7},{6}}=>[1,4,7,5,8,6,3,2]=>[4,2,1,1] {{1,3,5,6},{2},{4,8},{7}}=>[3,2,5,8,6,1,7,4]=>[4,2,2] {{1},{2,4,6,7},{3,8},{5}}=>[1,4,8,6,5,7,2,3]=>[4,2,1,1] {{1,3,5},{2},{4,7,8},{6}}=>[3,2,5,7,1,6,8,4]=>[4,2,2] {{1,3},{2,5},{4,7,8},{6}}=>[3,5,1,7,2,6,8,4]=>[4,3,1] {{1,7},{2,6},{3},{4,5,8}}=>[7,6,3,5,8,2,1,4]=>[3,2,1,1,1] {{1,4,5},{2,8},{3,7},{6}}=>[4,8,7,5,1,6,3,2]=>[3,2,1,1,1] {{1,3,6},{2},{4,5,8},{7}}=>[3,2,6,5,8,1,7,4]=>[3,3,2] {{1,2},{3,5},{4,7,8},{6}}=>[2,1,5,7,3,6,8,4]=>[4,3,1] {{1},{2,4,5,8},{3,6},{7}}=>[1,4,6,5,8,3,7,2]=>[4,2,1,1] {{1},{2,4},{3,6},{5,8},{7}}=>[1,4,6,2,8,3,7,5]=>[4,3,1] {{1,3},{2,5},{4},{6,8},{7}}=>[3,5,1,4,2,8,7,6]=>[3,3,2] {{1},{2,4,5,6},{3,8},{7}}=>[1,4,8,5,6,2,7,3]=>[5,2,1] {{1},{2,6},{3,5},{4,8},{7}}=>[1,6,5,8,3,2,7,4]=>[3,2,2,1] {{1},{2,8},{3,5},{4,7},{6}}=>[1,8,5,7,3,6,4,2]=>[3,2,1,1,1] {{1,7},{2,4},{3,6},{5},{8}}=>[7,4,6,2,5,3,1,8]=>[3,2,1,1,1] {{1},{2,5,7,8},{3,6},{4}}=>[1,5,6,4,7,3,8,2]=>[5,1,1,1] {{1,3},{2,5,6,7},{4},{8}}=>[3,5,1,4,6,7,2,8]=>[5,2,1] {{1},{2,5,7},{3,4,6},{8}}=>[1,5,4,6,7,3,2,8]=>[5,1,1,1] {{1},{2,3,6},{4,5,7},{8}}=>[1,3,6,5,7,2,4,8]=>[5,2,1] {{1,6},{2,3},{4,5,7},{8}}=>[6,3,2,5,7,1,4,8]=>[4,2,1,1] {{1,3,6},{2},{4,5,7},{8}}=>[3,2,6,5,7,1,4,8]=>[4,2,2] {{1,4},{2,3,5},{6,7},{8}}=>[4,3,5,1,2,7,6,8]=>[4,3,1] {{1,6},{2,5,7},{3,4},{8}}=>[6,5,4,3,7,1,2,8]=>[3,2,1,1,1] {{1,4},{2,3,5},{6,8},{7}}=>[4,3,5,1,2,8,7,6]=>[3,3,2] {{1},{2,5,8},{3,4,7},{6}}=>[1,5,4,7,8,6,3,2]=>[4,2,1,1] {{1},{2,3,7},{4,6,8},{5}}=>[1,3,7,6,5,8,2,4]=>[4,2,1,1] {{1},{2,3,7},{4,5,8},{6}}=>[1,3,7,5,8,6,2,4]=>[4,2,2] {{1,4,8},{2},{3,5},{6,7}}=>[4,2,5,8,3,7,6,1]=>[3,3,1,1] {{1,4},{2,3,5,8},{6},{7}}=>[4,3,5,1,8,6,7,2]=>[4,2,2] {{1,2},{3,6,8},{4},{5,7}}=>[2,1,6,4,7,8,5,3]=>[4,3,1] {{1,2},{3},{4},{5},{6},{7},{8},{9}}=>[2,1,3,4,5,6,7,8,9]=>[8,1] {{1,3},{2},{4},{5},{6},{7},{8},{9}}=>[3,2,1,4,5,6,7,8,9]=>[7,1,1] {{1,7},{2},{3},{4},{5},{6},{8},{9}}=>[7,2,3,4,5,6,1,8,9]=>[7,1,1] {{1,8},{2},{3},{4},{5},{6},{7},{9}}=>[8,2,3,4,5,6,7,1,9]=>[7,1,1] {{1,2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[2,1,3,4,5,6,7,8,9,10]=>[9,1] {{1,2,3},{4},{5},{6},{7},{8},{9}}=>[2,3,1,4,5,6,7,8,9]=>[8,1] {{1,3},{2},{4},{5},{6},{7},{8},{9},{10}}=>[3,2,1,4,5,6,7,8,9,10]=>[8,1,1] {{1,8,9},{2},{3},{4},{5},{6},{7}}=>[8,2,3,4,5,6,7,9,1]=>[7,1,1] {{1,9},{2},{3},{4},{5},{6},{7},{8},{10}}=>[9,2,3,4,5,6,7,8,1,10]=>[8,1,1] {{1,5,8},{2},{3,4,6},{7}}=>[5,2,4,6,8,3,7,1]=>[4,2,1,1] {{1,3},{2,4,8},{5},{6,7}}=>[3,4,1,8,5,7,6,2]=>[4,2,1,1] {{1,4,5},{2,3,6},{7},{8}}=>[4,3,6,5,1,2,7,8]=>[4,2,2] {{1,4},{2,5,7},{3,6},{8}}=>[4,5,6,1,7,3,2,8]=>[5,2,1] {{1,2,4},{3,8},{5,6},{7}}=>[2,4,8,1,6,5,7,3]=>[4,2,1,1] {{1,2,3,4,5,6,7,8,9}}=>[2,3,4,5,6,7,8,9,1]=>[8,1] {{1,2,3,4,5,6,7},{8,9}}=>[2,3,4,5,6,7,1,9,8]=>[7,2] {{1,2,3,4,5,6,7},{8},{9}}=>[2,3,4,5,6,7,1,8,9]=>[8,1] {{1,2,3,4,5,6},{7,8,9}}=>[2,3,4,5,6,1,8,9,7]=>[7,2] {{1,2,3,4,5,6},{7,8},{9}}=>[2,3,4,5,6,1,8,7,9]=>[7,2] {{1,2,3,4,5,6},{7},{8},{9}}=>[2,3,4,5,6,1,7,8,9]=>[8,1] {{1,2,3,4,5},{6,7,8,9}}=>[2,3,4,5,1,7,8,9,6]=>[7,2] {{1,2,3,4,5},{6,7},{8,9}}=>[2,3,4,5,1,7,6,9,8]=>[6,3] {{1,2,3,4,5},{6,7},{8},{9}}=>[2,3,4,5,1,7,6,8,9]=>[7,2] {{1,2,3,4,5},{6},{7},{8},{9}}=>[2,3,4,5,1,6,7,8,9]=>[8,1] {{1,2,3,4},{5,6},{7,8},{9}}=>[2,3,4,1,6,5,8,7,9]=>[6,3] {{1,2,3,4},{5,6},{7},{8},{9}}=>[2,3,4,1,6,5,7,8,9]=>[7,2] {{1,2,3,4},{5},{6},{7},{8},{9}}=>[2,3,4,1,5,6,7,8,9]=>[8,1] {{1,2,3},{4,5},{6,7},{8,9}}=>[2,3,1,5,4,7,6,9,8]=>[5,4] {{1,2,3},{4,5},{6},{7},{8},{9}}=>[2,3,1,5,4,6,7,8,9]=>[7,2] {{1,2},{3,4},{5,6},{7,8},{9}}=>[2,1,4,3,6,5,8,7,9]=>[5,4] {{1,2},{3,4},{5},{6},{7},{8},{9}}=>[2,1,4,3,5,6,7,8,9]=>[7,2] {{1,2,3,4,5,6,7,8,9,10}}=>[2,3,4,5,6,7,8,9,10,1]=>[9,1] {{1,2,3,4,5,6,7,8},{9,10}}=>[2,3,4,5,6,7,8,1,10,9]=>[8,2] {{1,2,3,4,5,6,7,8},{9},{10}}=>[2,3,4,5,6,7,8,1,9,10]=>[9,1] {{1,2,3,4,5,6,7},{8,9,10}}=>[2,3,4,5,6,7,1,9,10,8]=>[8,2] {{1,2,3,4,5,6,7},{8,9},{10}}=>[2,3,4,5,6,7,1,9,8,10]=>[8,2] {{1,2,3,4,5,6,7},{8},{9},{10}}=>[2,3,4,5,6,7,1,8,9,10]=>[9,1] {{1,2,3,4,5,6},{7,8,9,10}}=>[2,3,4,5,6,1,8,9,10,7]=>[8,2] {{1,2,3,4,5,6},{7,8},{9,10}}=>[2,3,4,5,6,1,8,7,10,9]=>[7,3] {{1,2,3,4,5,6},{7},{8},{9},{10}}=>[2,3,4,5,6,1,7,8,9,10]=>[9,1] {{1,2,3,4,5},{6,7},{8,9},{10}}=>[2,3,4,5,1,7,6,9,8,10]=>[7,3] {{1,2,3,4,5},{6},{7},{8},{9},{10}}=>[2,3,4,5,1,6,7,8,9,10]=>[9,1] {{1,2,3,4},{5,6,7,8},{9,10}}=>[2,3,4,1,6,7,8,5,10,9]=>[7,3] {{1,2,3,4},{5,6},{7,8},{9,10}}=>[2,3,4,1,6,5,8,7,10,9]=>[6,4] {{1,2,3,4},{5},{6},{7},{8},{9},{10}}=>[2,3,4,1,5,6,7,8,9,10]=>[9,1] {{1,2,3},{4,5},{6,7},{8,9},{10}}=>[2,3,1,5,4,7,6,9,8,10]=>[6,4] {{1,2,3},{4},{5},{6},{7},{8},{9},{10}}=>[2,3,1,4,5,6,7,8,9,10]=>[9,1] {{1,4},{2,3},{5},{6},{7},{8},{9}}=>[4,3,2,1,5,6,7,8,9]=>[6,1,1,1] {{1,3},{2},{4,7},{5,6,8}}=>[3,2,1,7,6,8,4,5]=>[3,3,2] {{1,4},{2},{3,6,7,8},{5}}=>[4,2,6,1,5,7,8,3]=>[4,2,2] {{1},{2,3,7},{4},{5,6,8}}=>[1,3,7,4,6,8,2,5]=>[5,2,1] {{1},{2,3,6},{4},{5,7,8}}=>[1,3,6,4,7,2,8,5]=>[5,2,1] {{1},{2,3},{4,6,7},{5,8}}=>[1,3,2,6,8,7,4,5]=>[4,3,1] {{1},{2,3},{4,6},{5,7,8}}=>[1,3,2,6,7,4,8,5]=>[5,3] {{1},{2,3,5,6},{4,8},{7}}=>[1,3,5,8,6,2,7,4]=>[5,2,1] {{1},{2,5},{3,4,7,8},{6}}=>[1,5,4,7,2,6,8,3]=>[4,2,2] {{1,4,7},{2},{3,6},{5,8}}=>[4,2,6,7,8,3,1,5]=>[4,3,1] {{1},{2,4,8},{3,6,7},{5}}=>[1,4,6,8,5,7,3,2]=>[4,2,1,1] {{1},{2,3,6},{4,7,8},{5}}=>[1,3,6,7,5,2,8,4]=>[5,2,1] {{1,4,5,7},{2,3,6,8}}=>[4,3,6,5,7,8,1,2]=>[4,2,2] {{1,5},{2,3,6,8},{4,7}}=>[5,3,6,7,1,8,4,2]=>[4,2,2] {{1},{2,5},{3,4,7},{6,8}}=>[1,5,4,7,2,8,3,6]=>[4,3,1] {{1,5},{2,6,8},{3,4,7}}=>[5,6,4,7,1,8,3,2]=>[4,2,1,1] {{1,5,7},{2,6},{3,4,8}}=>[5,6,4,8,7,2,1,3]=>[3,2,2,1] {{1,6},{2,5,7},{3,4,8}}=>[6,5,4,8,7,1,2,3]=>[3,2,2,1] {{1,5,7},{2,3,8},{4,6}}=>[5,3,8,6,7,4,1,2]=>[3,2,2,1] {{1,7},{2,5},{3,4,6,8}}=>[7,5,4,6,2,8,1,3]=>[3,2,1,1,1] {{1},{2,6},{3,4,5,7},{8}}=>[1,6,4,5,7,2,3,8]=>[5,2,1] {{1},{2,7},{3,6,8},{4,5}}=>[1,7,6,5,4,8,2,3]=>[3,2,1,1,1] {{1,6},{2,4,5,7},{3,8}}=>[6,4,8,5,7,1,2,3]=>[3,3,2] {{1},{2,6,8},{3},{4,7},{5}}=>[1,6,3,7,5,8,4,2]=>[4,2,1,1] {{1,3},{2},{4,7},{5},{6,8}}=>[3,2,1,7,5,8,4,6]=>[3,3,2] {{1,4},{2},{3,5},{6,8},{7}}=>[4,2,5,1,3,8,7,6]=>[3,3,2] {{1,5,7},{2},{3,6},{4},{8}}=>[5,2,6,4,7,3,1,8]=>[4,2,1,1] {{1},{2,7},{3,5},{4},{6,8}}=>[1,7,5,4,3,8,2,6]=>[3,2,1,1,1] {{1,6},{2,4},{3},{5,7},{8}}=>[6,4,3,2,7,1,5,8]=>[3,2,1,1,1] {{1},{2,7},{3,4,6,8},{5}}=>[1,7,4,6,5,8,2,3]=>[4,2,1,1] {{1,6},{2,3,5,7},{4},{8}}=>[6,3,5,4,7,1,2,8]=>[4,2,1,1] {{1},{2,6},{3},{4,8},{5,7}}=>[1,6,3,8,7,2,5,4]=>[3,2,2,1] {{1,5},{2},{3,7},{4,6},{8}}=>[5,2,7,6,1,4,3,8]=>[3,2,2,1] {{1},{2,6},{3,5,8},{4,7}}=>[1,6,5,7,8,2,4,3]=>[4,2,1,1] {{1},{2,5,6,8},{3,7},{4}}=>[1,5,7,4,6,8,3,2]=>[4,2,1,1] {{1,5},{2,3,7},{4},{6},{8}}=>[5,3,7,4,1,6,2,8]=>[4,2,2] {{1,5,8},{2,3,6},{4},{7}}=>[5,3,6,4,8,2,7,1]=>[3,3,1,1] {{1,6},{2,4,8},{3},{5},{7}}=>[6,4,3,8,5,1,7,2]=>[3,2,2,1] {{1,6,8},{2,3,7},{4},{5}}=>[6,3,7,4,5,8,2,1]=>[4,2,1,1] {{1,6},{2,3},{4,7,8},{5}}=>[6,3,2,7,5,1,8,4]=>[3,2,2,1] {{1,7},{2,3},{4,8},{5},{6}}=>[7,3,2,8,5,6,1,4]=>[3,2,2,1] {{1,7},{2,4},{3,8},{5},{6}}=>[7,4,8,2,5,6,1,3]=>[3,2,2,1] {{1,5},{2},{3,4,7},{6,8}}=>[5,2,4,7,1,8,3,6]=>[4,3,1] {{1},{2,4},{3,5,7},{6,8}}=>[1,4,5,2,7,8,3,6]=>[5,3] {{1,7},{2,5},{3},{4,8},{6}}=>[7,5,3,8,2,6,1,4]=>[2,2,2,1,1] {{1},{2,4},{3,5,8},{6},{7}}=>[1,4,5,2,8,6,7,3]=>[5,2,1] {{1},{2,3,8},{4,6},{5,7}}=>[1,3,8,6,7,4,5,2]=>[4,2,1,1] {{1},{2,4,5,7},{3},{6,8}}=>[1,4,3,5,7,8,2,6]=>[5,2,1] {{1,3,7},{2},{4,5},{6,8}}=>[3,2,7,5,4,8,1,6]=>[3,3,1,1] {{1},{2},{3,5,7,8},{4,6}}=>[1,2,5,6,7,4,8,3]=>[6,1,1] {{1},{2},{3,5,8},{4,6,7}}=>[1,2,5,6,8,7,4,3]=>[5,1,1,1] {{1},{2,5,7},{3,6},{4,8}}=>[1,5,6,8,7,3,2,4]=>[4,2,1,1] {{1,5,7,8},{2},{3},{4,6}}=>[5,2,3,6,7,4,8,1]=>[5,2,1] {{1,3,4,5,6,7,8,9},{2}}=>[3,2,4,5,6,7,8,9,1]=>[7,1,1] {{1,4,5,6,7,8,9},{2},{3}}=>[4,2,3,5,6,7,8,9,1]=>[7,1,1] {{1,2,3,4,9},{5,6,7,8}}=>[2,3,4,9,6,7,8,5,1]=>[6,1,1,1] {{1,7},{2,9},{3},{4},{5},{6},{8}}=>[7,9,3,4,5,6,1,8,2]=>[5,2,2] {{1,3,4,5,6,7,8,9,10},{2}}=>[3,2,4,5,6,7,8,9,10,1]=>[8,1,1] {{1,6,7,8,9,10},{2},{3},{4},{5}}=>[6,2,3,4,5,7,8,9,10,1]=>[8,1,1] {{1,9,10},{2},{3},{4},{5},{6},{7},{8}}=>[9,2,3,4,5,6,7,8,10,1]=>[8,1,1] {{1,8},{2,10},{3},{4},{5},{6},{7},{9}}=>[8,10,3,4,5,6,7,1,9,2]=>[6,2,2] {{1,7,8},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,8,1]=>[4,2,1,1] {{1},{2,4,5,6,7,8,9},{3}}=>[1,4,3,5,6,7,8,9,2]=>[7,1,1] {{1,3,4,5,6,7,8},{2},{9}}=>[3,2,4,5,6,7,8,1,9]=>[7,1,1] {{1,4},{2},{3,5,6,7,8}}=>[4,2,5,1,6,7,8,3]=>[5,2,1] {{1,3},{2,5,6},{4},{7,8}}=>[3,5,1,4,6,2,8,7]=>[4,3,1] {{1,4},{2,5},{3,7,8},{6}}=>[4,5,7,1,2,6,8,3]=>[4,3,1] {{1,3},{2,5,7,8},{4},{6}}=>[3,5,1,4,7,6,8,2]=>[4,3,1] {{1,6},{2},{3,5,7},{4,8}}=>[6,2,5,8,7,1,3,4]=>[3,3,2] {{1,8},{2},{3,5,7},{4,6}}=>[8,2,5,6,7,4,3,1]=>[4,1,1,1,1] {{1,6},{2,3,5,7,8},{4}}=>[6,3,5,4,7,1,8,2]=>[4,2,1,1] {{1,4,6},{2,3,7,8},{5}}=>[4,3,7,6,5,1,8,2]=>[3,2,2,1] {{1,3,5,6,8},{2},{4,7}}=>[3,2,5,7,6,8,4,1]=>[4,2,1,1] {{1,4,5,8},{2,7},{3,6}}=>[4,7,6,5,8,3,2,1]=>[3,1,1,1,1,1] {{1},{2,4,5,7,8},{3,6}}=>[1,4,6,5,7,3,8,2]=>[5,1,1,1] {{1},{2,4,6,8},{3,5,7}}=>[1,4,5,6,7,8,3,2]=>[6,1,1] {{1,5},{2,4,7},{3,6,8}}=>[5,4,6,7,1,8,2,3]=>[4,3,1] {{1,3,5,7},{2},{4,6,8}}=>[3,2,5,6,7,8,1,4]=>[5,2,1] {{1,3,6},{2},{4,5,7,8}}=>[3,2,6,5,7,1,8,4]=>[4,2,2] {{1,2,4,6,7},{3},{5,8}}=>[2,4,3,6,8,7,1,5]=>[4,2,2] {{1,3,5},{2,4,6,8},{7}}=>[3,4,5,6,1,8,7,2]=>[5,2,1] {{1,4},{2,3,5,6,8},{7}}=>[4,3,5,1,6,8,7,2]=>[4,2,2] {{1,4},{2,3,5,7,8},{6}}=>[4,3,5,1,7,6,8,2]=>[4,2,2] {{1},{2,3,7},{4,5},{6,8}}=>[1,3,7,5,4,8,2,6]=>[4,2,1,1] {{1,3},{2},{4,5,7},{6,8}}=>[3,2,1,5,7,8,4,6]=>[4,3,1] {{1,2},{3},{4,6,7},{5,8}}=>[2,1,3,6,8,7,4,5]=>[4,3,1] {{1,3},{2,4},{5},{6,7,8}}=>[3,4,1,2,5,7,8,6]=>[5,3] {{1,4,8},{2,5,6},{3},{7}}=>[4,5,3,8,6,2,7,1]=>[4,2,1,1] {{1,2,4,6},{3},{5,7},{8}}=>[2,4,3,6,7,1,5,8]=>[5,2,1] {{1,2,6},{3,7},{4,5},{8}}=>[2,6,7,5,4,1,3,8]=>[4,2,1,1] {{1,6,7},{2,4},{3,8},{5}}=>[6,4,8,2,5,7,1,3]=>[3,2,2,1] {{1,4},{2},{3,5},{6,7,8}}=>[4,2,5,1,3,7,8,6]=>[4,3,1] {{1,6},{2,7},{3},{4,5,8}}=>[6,7,3,5,8,1,2,4]=>[3,3,2] {{1},{2,3,4,6},{5,7},{8}}=>[1,3,4,6,7,2,5,8]=>[6,2] {{1,8},{2},{3,5},{4,6,7}}=>[8,2,5,6,3,7,4,1]=>[4,2,1,1] {{1},{2,6,8},{3},{4,5,7}}=>[1,6,3,5,7,8,4,2]=>[5,1,1,1] {{1},{2,6,7},{3,8},{4,5}}=>[1,6,8,5,4,7,2,3]=>[3,2,2,1] {{1},{2,5,6},{3,8},{4,7}}=>[1,5,8,7,6,2,4,3]=>[3,2,1,1,1] {{1,9},{2,3,4,5,6,7,8}}=>[9,3,4,5,6,7,8,2,1]=>[6,1,1,1] {{1,3,8},{2,6,7},{4},{5}}=>[3,6,8,4,5,7,2,1]=>[4,2,1,1] {{1,2,7},{3,6},{4},{5,8}}=>[2,7,6,4,8,3,1,5]=>[3,2,1,1,1] {{1,10},{2,3,4,5,6,7,8,9}}=>[10,3,4,5,6,7,8,9,2,1]=>[7,1,1,1] {{1,9},{2,3,4,5,6,8},{7}}=>[9,3,4,5,6,8,7,2,1]=>[5,1,1,1,1] {{1},{2,5,8},{3},{4,6,7}}=>[1,5,3,6,8,7,4,2]=>[4,2,1,1] {{1,4},{2,7,8},{3,6},{5}}=>[4,7,6,1,5,3,8,2]=>[3,2,1,1,1] {{1},{2,4,5},{3,6,7},{8}}=>[1,4,6,5,2,7,3,8]=>[5,2,1] {{1},{2,4,5},{3,6,8},{7}}=>[1,4,6,5,2,8,7,3]=>[4,2,2] {{1},{2,4},{3,5,6},{7,8}}=>[1,4,5,2,6,3,8,7]=>[5,3] {{1,4,6},{2,3,8},{5,7}}=>[4,3,8,6,7,1,5,2]=>[3,2,2,1] {{1,9},{2,8},{3,7},{4,6},{5},{10}}=>[9,8,7,6,5,4,3,2,1,10]=>[2,1,1,1,1,1,1,1,1] {{1},{2,10},{3,9},{4,8},{5,7},{6}}=>[1,10,9,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1,1,1] {{1,4,6},{2,3,5,7,8}}=>[4,3,5,6,7,1,8,2]=>[5,2,1] {{1,5,6},{2,4,7},{3,8}}=>[5,4,8,7,6,1,2,3]=>[3,2,2,1] {{1,2,6},{3,4,5,7,8}}=>[2,6,4,5,7,1,8,3]=>[5,2,1] {{1,5,8},{2},{3,4,6,7}}=>[5,2,4,6,8,7,3,1]=>[4,2,1,1] {{1},{2,3,5,8},{4,7},{6}}=>[1,3,5,7,8,6,4,2]=>[5,1,1,1] {{1,4,7},{2,3,5,6,8}}=>[4,3,5,7,6,8,1,2]=>[4,2,2] {{1,3,6,8},{2,4,5,7}}=>[3,4,6,5,7,8,2,1]=>[5,1,1,1] {{1,2,6,8},{3,4,5,7}}=>[2,6,4,5,7,8,3,1]=>[5,1,1,1] {{1,6},{2,3,4,5,7,8}}=>[6,3,4,5,7,1,8,2]=>[5,2,1] {{1,2,4},{3,5,6,7,8}}=>[2,4,5,1,6,7,8,3]=>[6,2] {{1,3,4},{2,5,6,7,8}}=>[3,5,4,1,6,7,8,2]=>[5,2,1] {{1,6},{2,3,5},{4,7,8}}=>[6,3,5,7,2,1,8,4]=>[4,2,1,1] {{1,2,6},{3,5},{4,7,8}}=>[2,6,5,7,3,1,8,4]=>[4,2,1,1] {{1,2,5},{3,6},{4,7,8}}=>[2,5,6,7,1,3,8,4]=>[5,3] {{1,5},{2,3,6},{4,7,8}}=>[5,3,6,7,1,2,8,4]=>[4,3,1] {{1,4,7,8},{2,6},{3,5}}=>[4,6,5,7,3,2,8,1]=>[4,1,1,1,1] {{1,7,8},{2,4,6},{3,5}}=>[7,4,5,6,3,2,8,1]=>[4,1,1,1,1] {{1,2,5},{3,4,6,7,8}}=>[2,5,4,6,1,7,8,3]=>[5,2,1] {{1,7},{2,8},{3,9},{4,10},{5,11},{6,12}}=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,6] {{1,3,4,5,6,7,8,9,10,11},{2}}=>[3,2,4,5,6,7,8,9,10,11,1]=>[9,1,1] {{1},{2},{3},{4},{5,7},{6,8}}=>[1,2,3,4,7,8,5,6]=>[6,2] {{1},{2},{3},{4,6},{5,8},{7}}=>[1,2,3,6,8,4,7,5]=>[5,2,1] {{1},{2},{3,5},{4,8},{6},{7}}=>[1,2,5,8,3,6,7,4]=>[5,2,1] {{1},{2,4},{3,8},{5},{6},{7}}=>[1,4,8,2,5,6,7,3]=>[5,2,1] {{1},{2},{3},{4},{5},{6,8},{7,9}}=>[1,2,3,4,5,8,9,6,7]=>[7,2] {{1},{2},{3},{4,7},{5,8},{6}}=>[1,2,3,7,8,6,4,5]=>[5,2,1] {{1},{2},{3},{4},{5,7},{6,9},{8}}=>[1,2,3,4,7,9,5,8,6]=>[6,2,1] {{1},{2},{3,6},{4,8},{5},{7}}=>[1,2,6,8,5,3,7,4]=>[4,2,2] {{1},{2},{3},{4,6,7},{5,8}}=>[1,2,3,6,8,7,4,5]=>[5,2,1] {{1},{2},{3},{4,6},{5,9},{7},{8}}=>[1,2,3,6,9,4,7,8,5]=>[6,2,1] {{1},{2,5},{3,8},{4},{6},{7}}=>[1,5,8,4,2,6,7,3]=>[4,2,2] {{1},{2},{3,5,6},{4,8},{7}}=>[1,2,5,8,6,3,7,4]=>[5,2,1] {{1},{2},{3,5},{4,9},{6},{7},{8}}=>[1,2,5,9,3,6,7,8,4]=>[6,2,1] {{1},{2,4,5},{3,8},{6},{7}}=>[1,4,8,5,2,6,7,3]=>[5,2,1] {{1},{2,4},{3,9},{5},{6},{7},{8}}=>[1,4,9,2,5,6,7,8,3]=>[6,2,1] {{1,3},{2,9},{4},{5},{6},{7},{8}}=>[3,9,1,4,5,6,7,8,2]=>[6,2,1] {{1,7},{2,3,4,5,6,8}}=>[7,3,4,5,6,8,1,2]=>[5,2,1] {{1,3,6,7,8},{2,4,5}}=>[3,4,6,5,2,7,8,1]=>[5,1,1,1] {{1,6},{2,5,7,8},{3,4}}=>[6,5,4,3,7,1,8,2]=>[3,2,1,1,1] {{1,4,5,7,8},{2,3,6}}=>[4,3,6,5,7,2,8,1]=>[4,2,1,1] {{1,3,7},{2,4,6},{5,8}}=>[3,4,7,6,8,2,1,5]=>[4,2,1,1] {{1,5,7},{2,3,6,8},{4}}=>[5,3,6,4,7,8,1,2]=>[4,2,2] {{1,3,7},{2,4,5,8},{6}}=>[3,4,7,5,8,6,1,2]=>[4,2,2] {{1,5,8},{2,4,6},{3,7}}=>[5,4,7,6,8,2,3,1]=>[3,2,2,1] {{1},{2,3,5,7,8},{4,6}}=>[1,3,5,6,7,4,8,2]=>[6,1,1] {{1},{2,3,5,7},{4,6},{8}}=>[1,3,5,6,7,4,2,8]=>[6,1,1] {{1},{2,3,5,7},{4,6,8}}=>[1,3,5,6,7,8,2,4]=>[6,2] {{1},{2,3,4,5,7},{6,8}}=>[1,3,4,5,7,8,2,6]=>[6,2] {{1},{2,3,5,8},{4,6,7}}=>[1,3,5,6,8,7,4,2]=>[5,1,1,1] {{1,3},{2,6,8},{4,5},{7}}=>[3,6,1,5,4,8,7,2]=>[3,3,1,1] {{1},{2,4,7,8},{3,5},{6}}=>[1,4,5,7,3,6,8,2]=>[5,2,1] {{1},{2,4,7,8},{3,6},{5}}=>[1,4,6,7,5,3,8,2]=>[5,1,1,1] {{1},{2,3,4,6,8},{5,7}}=>[1,3,4,6,7,8,5,2]=>[6,1,1] {{1},{2,3,4,5,6,8},{7,9}}=>[1,3,4,5,6,8,9,2,7]=>[7,2] {{1,5,6,8},{2,3,7},{4}}=>[5,3,7,4,6,8,2,1]=>[4,2,1,1] {{1,5,6},{2,3},{4,7,8}}=>[5,3,2,7,6,1,8,4]=>[3,2,2,1] {{1,2,9},{3},{4},{5},{6},{7},{8}}=>[2,9,3,4,5,6,7,8,1]=>[7,1,1] {{1,3},{2,4,5,6,8},{7}}=>[3,4,1,5,6,8,7,2]=>[5,2,1] {{1,6,7},{2,3,4,5,8}}=>[6,3,4,5,8,7,1,2]=>[4,2,2] {{1,4,6,8},{2,3,5,7}}=>[4,3,5,6,7,8,2,1]=>[5,1,1,1] {{1,4,8},{2,3,6,7},{5}}=>[4,3,6,8,5,7,2,1]=>[3,3,1,1] {{1,2,6},{3,7},{4,5,8}}=>[2,6,7,5,8,1,3,4]=>[4,3,1] {{1,2},{3,4,6},{5,7,8}}=>[2,1,4,6,7,3,8,5]=>[5,3] {{1,2,6},{3,5,7,8},{4}}=>[2,6,5,4,7,1,8,3]=>[4,2,1,1] {{1},{2},{3},{4},{5},{6,7,9},{8}}=>[1,2,3,4,5,7,9,8,6]=>[7,1,1] {{1},{2,3,9},{4},{5},{6},{7},{8}}=>[1,3,9,4,5,6,7,8,2]=>[7,1,1] {{1,2},{3},{4},{5},{6},{7},{8},{9},{10},{11}}=>[2,1,3,4,5,6,7,8,9,10,11]=>[10,1] {{1,9},{2,4},{3},{5},{6},{7},{8}}=>[9,4,3,2,5,6,7,8,1]=>[5,1,1,1,1] {{1,10},{2,3},{4},{5},{6},{7},{8},{9}}=>[10,3,2,4,5,6,7,8,9,1]=>[7,1,1,1] {{1,11},{2},{3},{4},{5},{6},{7},{8},{9},{10}}=>[11,2,3,4,5,6,7,8,9,10,1]=>[9,1,1] {{1},{2,4},{3,5,6,7,8}}=>[1,4,5,2,6,7,8,3]=>[6,2] {{1,5,6},{2},{3},{4,7,8}}=>[5,2,3,7,6,1,8,4]=>[4,2,2] {{1,3,5},{2},{4,6},{7},{8}}=>[3,2,5,6,1,4,7,8]=>[5,2,1] {{1,3,7},{2},{4},{5},{6,8}}=>[3,2,7,4,5,8,1,6]=>[4,3,1] {{1,3,6},{2},{4},{5,8},{7}}=>[3,2,6,4,8,1,7,5]=>[3,3,2] {{1},{2},{3,7},{4,8},{5},{6}}=>[1,2,7,8,5,6,3,4]=>[4,2,2] {{1,7},{2},{3},{4},{5},{6,8}}=>[7,2,3,4,5,8,1,6]=>[5,2,1] {{1,4},{2,6},{3},{5,8},{7}}=>[4,6,3,1,8,2,7,5]=>[3,3,2] {{1,5},{2,6},{3},{4,8},{7}}=>[5,6,3,8,1,2,7,4]=>[3,3,2] {{1,4},{2},{3,6},{5},{7},{8}}=>[4,2,6,1,5,3,7,8]=>[4,2,2] {{1},{2,5},{3,6},{4},{7},{8}}=>[1,5,6,4,2,3,7,8]=>[5,2,1] {{1,4,6},{2},{3,5,7},{8}}=>[4,2,5,6,7,1,3,8]=>[5,2,1] {{1,6},{2},{3},{4,7},{5,8}}=>[6,2,3,7,8,1,4,5]=>[4,3,1] {{1,5},{2},{3},{4,7},{6,8}}=>[5,2,3,7,1,8,4,6]=>[4,3,1] {{1,4,7},{2},{3,6},{5},{8}}=>[4,2,6,7,5,3,1,8]=>[4,2,1,1] {{1,4},{2},{3,7},{5},{6,8}}=>[4,2,7,1,5,8,3,6]=>[3,3,2] {{1,5},{2},{3,7},{4,8},{6}}=>[5,2,7,8,1,6,3,4]=>[3,3,2] {{1,5},{2},{3,7},{4},{6},{8}}=>[5,2,7,4,1,6,3,8]=>[4,2,2] {{1,7},{2,5},{3,6},{4},{8}}=>[7,5,6,4,2,3,1,8]=>[3,2,1,1,1] {{1},{2,6},{3},{4,8},{5},{7}}=>[1,6,3,8,5,2,7,4]=>[4,2,2] {{1,5},{2,3,4,8},{6},{7}}=>[5,3,4,8,1,6,7,2]=>[4,2,2] {{1,4,5},{2,3,8},{6},{7}}=>[4,3,8,5,1,6,7,2]=>[4,2,2] {{1,3},{2,5},{4,6,7},{8}}=>[3,5,1,6,2,7,4,8]=>[5,3] {{1,7},{2,3},{4,5,6,8}}=>[7,3,2,5,6,8,1,4]=>[4,2,1,1] {{1,7},{2,3,5,6},{4,8}}=>[7,3,5,8,6,2,1,4]=>[3,2,2,1] {{1,5,7,8},{2,4},{3,6}}=>[5,4,6,2,7,3,8,1]=>[4,2,1,1] {{1,5,7,8},{2,3},{4,6}}=>[5,3,2,6,7,4,8,1]=>[4,2,1,1] {{1,3,4,7},{2},{5,8},{6}}=>[3,2,4,7,8,6,1,5]=>[4,2,2] {{1,4,6},{2,3,5},{7,8}}=>[4,3,5,6,2,1,8,7]=>[4,2,1,1] {{1,6,8},{2,3,4,5,7}}=>[6,3,4,5,7,8,2,1]=>[5,1,1,1] {{1,2},{3,6,8},{4,5,7}}=>[2,1,6,5,7,8,4,3]=>[4,2,1,1] {{1,6,7},{2,4,5,8},{3}}=>[6,4,3,5,8,7,1,2]=>[3,2,2,1] {{1,2,7},{3,6,8},{4,5}}=>[2,7,6,5,4,8,1,3]=>[3,2,1,1,1] {{1,3,5,8},{2,7},{4,6}}=>[3,7,5,6,8,4,2,1]=>[4,1,1,1,1] {{1,4,5,8},{2,3,6},{7}}=>[4,3,6,5,8,2,7,1]=>[3,3,1,1] {{1,7},{2,3,5},{4,6,8}}=>[7,3,5,6,2,8,1,4]=>[4,2,1,1] {{1,5},{2,4,6,7,8},{3}}=>[5,4,3,6,1,7,8,2]=>[4,2,1,1] {{1,5,9},{2},{3},{4},{6},{7},{8}}=>[5,2,3,4,9,6,7,8,1]=>[6,2,1] {{1,3},{2,4,5,6,7},{8}}=>[3,4,1,5,6,7,2,8]=>[6,2] {{1},{2,5},{3,4,6,7,8}}=>[1,5,4,6,2,7,8,3]=>[5,2,1] {{1},{2,6},{3,4,5,7,8}}=>[1,6,4,5,7,2,8,3]=>[5,2,1] {{1},{2,3,4,6},{5,7,8}}=>[1,3,4,6,7,2,8,5]=>[6,2] {{1,2,7},{3},{4,6,8},{5}}=>[2,7,3,6,5,8,1,4]=>[4,2,1,1] {{1,2,4,6,8,10},{3},{5},{7},{9}}=>[2,4,3,6,5,8,7,10,9,1]=>[5,4,1] {{1,2,4,6,8,10,12},{3},{5},{7},{9},{11}}=>[2,4,3,6,5,8,7,10,9,12,11,1]=>[6,5,1] {{1},{2,4,6},{3},{5,7,8}}=>[1,4,3,6,7,2,8,5]=>[5,2,1] {{1},{2,5,7},{3},{4,6,8}}=>[1,5,3,6,7,8,2,4]=>[5,2,1] {{1,2},{3,5,7},{4,6,8}}=>[2,1,5,6,7,8,3,4]=>[5,3] {{1,4,5,7,8},{2},{3,6}}=>[4,2,6,5,7,3,8,1]=>[4,2,1,1] {{1,4,6,8},{2},{3,5,7}}=>[4,2,5,6,7,8,3,1]=>[5,2,1] {{1,8},{2,9},{3},{4},{5},{6},{7}}=>[8,9,3,4,5,6,7,1,2]=>[5,2,2] {{1},{2,7},{3,8},{4},{5},{6}}=>[1,7,8,4,5,6,2,3]=>[4,2,2] {{1,5,6},{2},{3,8},{4},{7}}=>[5,2,8,4,6,1,7,3]=>[4,2,2] {{1},{2},{3},{4,6,8},{5,7}}=>[1,2,3,6,7,8,5,4]=>[6,1,1] {{1},{2},{3,5,8},{4,6},{7}}=>[1,2,5,6,8,4,7,3]=>[5,2,1] {{1,4,5,6,7,8,9},{2,3}}=>[4,3,2,5,6,7,8,9,1]=>[6,1,1,1] {{1,4,5,6,7,8,9,10},{2,3}}=>[4,3,2,5,6,7,8,9,10,1]=>[7,1,1,1] {{1,5,6,7,8,9},{2,4},{3}}=>[5,4,3,2,6,7,8,9,1]=>[5,1,1,1,1] {{1,4,6},{2,3},{5,7,8}}=>[4,3,2,6,7,1,8,5]=>[4,2,1,1] {{1},{2,4,8},{3,5,6,7}}=>[1,4,5,8,6,7,3,2]=>[5,1,1,1] {{1,4,5,6,7},{2},{3,8}}=>[4,2,8,5,6,7,1,3]=>[4,2,2] {{1},{2,7},{3,6},{4},{5,8}}=>[1,7,6,4,8,3,2,5]=>[3,2,1,1,1] {{1,3,5},{2,4,6,7,8}}=>[3,4,5,6,1,7,8,2]=>[6,2] {{1,5},{2},{3,7},{4},{6,8}}=>[5,2,7,4,1,8,3,6]=>[3,3,2] {{1,5,6},{2,4,8},{3,7}}=>[5,4,7,8,6,1,3,2]=>[3,2,2,1] {{1,2,4,6,8},{3},{5,7}}=>[2,4,3,6,7,8,5,1]=>[5,2,1] {{1,3,8},{2,4,5,6,7}}=>[3,4,8,5,6,7,2,1]=>[5,1,1,1] {{1,3},{2,7},{4,5,6,8}}=>[3,7,1,5,6,8,2,4]=>[4,3,1] {{1},{2,7},{3},{4,5,6,8}}=>[1,7,3,5,6,8,2,4]=>[5,2,1] {{1,3,8},{2,6},{4,5,7}}=>[3,6,8,5,7,2,4,1]=>[3,2,2,1] {{1,2,4},{3,6},{5,7,8}}=>[2,4,6,1,7,3,8,5]=>[5,3] {{1,2,7},{3,4,6,8},{5}}=>[2,7,4,6,5,8,1,3]=>[4,2,1,1] {{1},{2,5},{3},{4,7},{6,8}}=>[1,5,3,7,2,8,4,6]=>[4,3,1] {{1,3,7},{2,6,8},{4,5}}=>[3,6,7,5,4,8,1,2]=>[4,2,1,1] {{1,7},{2,3,5,8},{4,6}}=>[7,3,5,6,8,4,1,2]=>[4,2,1,1] {{1,2,8},{3,4,6},{5,7}}=>[2,8,4,6,7,3,5,1]=>[4,2,1,1] {{1,2},{3,5,7,8},{4,6}}=>[2,1,5,6,7,4,8,3]=>[5,2,1] {{1,5,8},{2,7},{3,4,6}}=>[5,7,4,6,8,3,2,1]=>[3,2,1,1,1] {{1,6,8},{2,5,7},{3,4}}=>[6,5,4,3,7,8,2,1]=>[3,1,1,1,1,1] {{1,6,8},{2,4,7},{3,5}}=>[6,4,5,7,3,8,2,1]=>[4,1,1,1,1] {{1},{2,4},{3,5},{6,7,8}}=>[1,4,5,2,3,7,8,6]=>[5,3] {{1,4},{2,5,6,8},{3},{7}}=>[4,5,3,1,6,8,7,2]=>[4,2,2] {{1,2,7},{3,4,5,6,8}}=>[2,7,4,5,6,8,1,3]=>[5,2,1] {{1,2},{3,5,6},{4,7,8}}=>[2,1,5,7,6,3,8,4]=>[4,3,1] {{1,5,6},{2,7,8},{3,4}}=>[5,7,4,3,6,1,8,2]=>[3,2,2,1] {{1,7},{2,6},{3,4,5,8}}=>[7,6,4,5,8,2,1,3]=>[3,2,1,1,1] {{1,2},{3,7},{4,5,6,8}}=>[2,1,7,5,6,8,3,4]=>[4,3,1] {{1,7},{2,5,6,8},{3,4}}=>[7,5,4,3,6,8,1,2]=>[3,2,1,1,1] {{1,3,4},{2,6},{5,7,8}}=>[3,6,4,1,7,2,8,5]=>[4,3,1] {{1,4},{2,3,5,6},{7},{8}}=>[4,3,5,1,6,2,7,8]=>[5,2,1] {{1,3,5},{2,4},{6},{7,8}}=>[3,4,5,2,1,6,8,7]=>[5,2,1] {{1},{2},{3,4,5,7},{6,8}}=>[1,2,4,5,7,8,3,6]=>[6,2] {{1},{2,5},{3,4,6,7},{8}}=>[1,5,4,6,2,7,3,8]=>[5,2,1] {{1,4,5},{2},{3,6,8},{7}}=>[4,2,6,5,1,8,7,3]=>[3,3,2] {{1},{2,3,6},{4},{5,8},{7}}=>[1,3,6,4,8,2,7,5]=>[4,2,2] {{1},{2,3,7},{4},{5,8},{6}}=>[1,3,7,4,8,6,2,5]=>[4,2,2] {{1},{2,4},{3,7},{5},{6,8}}=>[1,4,7,2,5,8,3,6]=>[4,3,1] {{1},{2,5},{3},{4,6,8},{7}}=>[1,5,3,6,2,8,7,4]=>[4,2,2] {{1,2},{3,4,6,8},{5,7}}=>[2,1,4,6,7,8,5,3]=>[5,2,1] {{1,3},{2,6,7},{4,5},{8}}=>[3,6,1,5,4,7,2,8]=>[4,2,1,1] {{1,4},{2,3,6,8},{5,7}}=>[4,3,6,1,7,8,5,2]=>[4,2,2] {{1,4,5},{2,3,6,7,8}}=>[4,3,6,5,1,7,8,2]=>[4,2,2] {{1,6},{2},{3,4,5,7,8}}=>[6,2,4,5,7,1,8,3]=>[5,2,1] {{1,4,5},{2,3,8},{6,7}}=>[4,3,8,5,1,7,6,2]=>[3,2,2,1] {{1,4,7},{2,3,8},{5,6}}=>[4,3,8,7,6,5,1,2]=>[2,2,2,1,1] {{1,3,6,8},{2,7},{4,5}}=>[3,7,6,5,4,8,2,1]=>[3,1,1,1,1,1] {{1,2},{3,6,7},{4,5,8}}=>[2,1,6,5,8,7,3,4]=>[3,3,2] {{1,6,7},{2,5,8},{3,4}}=>[6,5,4,3,8,7,1,2]=>[2,2,2,1,1] {{1},{2,4,6,8,10},{3},{5},{7},{9}}=>[1,4,3,6,5,8,7,10,9,2]=>[5,4,1] {{1},{2,4,6,10},{3},{5},{7,9},{8}}=>[1,4,3,6,5,10,9,8,7,2]=>[4,3,1,1,1] {{1},{2,4,8,10},{3},{5,7},{6},{9}}=>[1,4,3,8,7,6,5,10,9,2]=>[4,3,1,1,1] {{1},{2,4,10},{3},{5,7,9},{6},{8}}=>[1,4,3,10,7,6,9,8,5,2]=>[4,3,1,1,1] {{1},{2,4,10},{3},{5,9},{6,8},{7}}=>[1,4,3,10,9,8,7,6,5,2]=>[3,2,1,1,1,1,1] {{1},{2,6,8,10},{3,5},{4},{7},{9}}=>[1,6,5,4,3,8,7,10,9,2]=>[4,3,1,1,1] {{1},{2,6,10},{3,5},{4},{7,9},{8}}=>[1,6,5,4,3,10,9,8,7,2]=>[3,2,2,2,1] {{1},{2,8,10},{3,5,7},{4},{6},{9}}=>[1,8,5,4,7,6,3,10,9,2]=>[4,3,1,1,1] {{1},{2,8,10},{3,7},{4,6},{5},{9}}=>[1,8,7,6,5,4,3,10,9,2]=>[3,2,1,1,1,1,1] {{1},{2,10},{3,5,7,9},{4},{6},{8}}=>[1,10,5,4,7,6,9,8,3,2]=>[4,3,1,1,1] {{1},{2,10},{3,5,9},{4},{6,8},{7}}=>[1,10,5,4,9,8,7,6,3,2]=>[3,2,1,1,1,1,1] {{1},{2,10},{3,7,9},{4,6},{5},{8}}=>[1,10,7,6,5,4,9,8,3,2]=>[3,2,1,1,1,1,1] {{1},{2,10},{3,9},{4,6,8},{5},{7}}=>[1,10,9,6,5,8,7,4,3,2]=>[3,2,1,1,1,1,1] {{1,3},{2},{4,6,8,10},{5},{7},{9}}=>[3,2,1,6,5,8,7,10,9,4]=>[4,4,2] {{1,3},{2},{4,6,10},{5},{7,9},{8}}=>[3,2,1,6,5,10,9,8,7,4]=>[3,3,2,1,1] {{1,3},{2},{4,8,10},{5,7},{6},{9}}=>[3,2,1,8,7,6,5,10,9,4]=>[3,3,2,1,1] {{1,3},{2},{4,10},{5,7,9},{6},{8}}=>[3,2,1,10,7,6,9,8,5,4]=>[3,3,2,1,1] {{1,3},{2},{4,10},{5,9},{6,8},{7}}=>[3,2,1,10,9,8,7,6,5,4]=>[2,2,2,1,1,1,1] {{1,3,5},{2},{4},{6,8,10},{7},{9}}=>[3,2,5,4,1,8,7,10,9,6]=>[4,4,2] {{1,3,5},{2},{4},{6,10},{7,9},{8}}=>[3,2,5,4,1,10,9,8,7,6]=>[3,3,2,1,1] {{1,5},{2,4},{3},{6,8,10},{7},{9}}=>[5,4,3,2,1,8,7,10,9,6]=>[3,3,2,1,1] {{1,5},{2,4},{3},{6,10},{7,9},{8}}=>[5,4,3,2,1,10,9,8,7,6]=>[2,2,2,2,2] {{1,3,5,7},{2},{4},{6},{8,10},{9}}=>[3,2,5,4,7,6,1,10,9,8]=>[4,4,2] {{1,3,7},{2},{4,6},{5},{8,10},{9}}=>[3,2,7,6,5,4,1,10,9,8]=>[3,3,2,1,1] {{1,5,7},{2,4},{3},{6},{8,10},{9}}=>[5,4,3,2,7,6,1,10,9,8]=>[3,3,2,1,1] {{1,7},{2,4,6},{3},{5},{8,10},{9}}=>[7,4,3,6,5,2,1,10,9,8]=>[3,3,2,1,1] {{1,7},{2,6},{3,5},{4},{8,10},{9}}=>[7,6,5,4,3,2,1,10,9,8]=>[2,2,2,1,1,1,1] {{1,3,5,7,9},{2},{4},{6},{8},{10}}=>[3,2,5,4,7,6,9,8,1,10]=>[5,4,1] {{1,3,5,9},{2},{4},{6,8},{7},{10}}=>[3,2,5,4,9,8,7,6,1,10]=>[4,3,1,1,1] {{1,3,7,9},{2},{4,6},{5},{8},{10}}=>[3,2,7,6,5,4,9,8,1,10]=>[4,3,1,1,1] {{1,3,9},{2},{4,6,8},{5},{7},{10}}=>[3,2,9,6,5,8,7,4,1,10]=>[4,3,1,1,1] {{1,3,9},{2},{4,8},{5,7},{6},{10}}=>[3,2,9,8,7,6,5,4,1,10]=>[3,2,1,1,1,1,1] {{1,5,7,9},{2,4},{3},{6},{8},{10}}=>[5,4,3,2,7,6,9,8,1,10]=>[4,3,1,1,1] {{1,5,9},{2,4},{3},{6,8},{7},{10}}=>[5,4,3,2,9,8,7,6,1,10]=>[3,2,2,2,1] {{1,7,9},{2,4,6},{3},{5},{8},{10}}=>[7,4,3,6,5,2,9,8,1,10]=>[4,3,1,1,1] {{1,7,9},{2,6},{3,5},{4},{8},{10}}=>[7,6,5,4,3,2,9,8,1,10]=>[3,2,1,1,1,1,1] {{1,9},{2,4,6,8},{3},{5},{7},{10}}=>[9,4,3,6,5,8,7,2,1,10]=>[4,3,1,1,1] {{1,9},{2,4,8},{3},{5,7},{6},{10}}=>[9,4,3,8,7,6,5,2,1,10]=>[3,2,1,1,1,1,1] {{1,9},{2,6,8},{3,5},{4},{7},{10}}=>[9,6,5,4,3,8,7,2,1,10]=>[3,2,1,1,1,1,1] {{1,9},{2,8},{3,5,7},{4},{6},{10}}=>[9,8,5,4,7,6,3,2,1,10]=>[3,2,1,1,1,1,1] {{1},{2,4,6,8,10,12},{3},{5},{7},{9},{11}}=>[1,4,3,6,5,8,7,10,9,12,11,2]=>[6,5,1] {{1},{2,4,6,8,12},{3},{5},{7},{9,11},{10}}=>[1,4,3,6,5,8,7,12,11,10,9,2]=>[5,4,1,1,1] {{1},{2,4,6,10,12},{3},{5},{7,9},{8},{11}}=>[1,4,3,6,5,10,9,8,7,12,11,2]=>[5,4,1,1,1] {{1},{2,4,6,12},{3},{5},{7,9,11},{8},{10}}=>[1,4,3,6,5,12,9,8,11,10,7,2]=>[5,4,1,1,1] {{1},{2,4,6,12},{3},{5},{7,11},{8,10},{9}}=>[1,4,3,6,5,12,11,10,9,8,7,2]=>[4,3,1,1,1,1,1] {{1},{2,4,8,10,12},{3},{5,7},{6},{9},{11}}=>[1,4,3,8,7,6,5,10,9,12,11,2]=>[5,4,1,1,1] {{1},{2,4,8,12},{3},{5,7},{6},{9,11},{10}}=>[1,4,3,8,7,6,5,12,11,10,9,2]=>[4,3,2,2,1] {{1},{2,4,10,12},{3},{5,7,9},{6},{8},{11}}=>[1,4,3,10,7,6,9,8,5,12,11,2]=>[5,4,1,1,1] {{1},{2,4,10,12},{3},{5,9},{6,8},{7},{11}}=>[1,4,3,10,9,8,7,6,5,12,11,2]=>[4,3,1,1,1,1,1] {{1},{2,4,12},{3},{5,7,9,11},{6},{8},{10}}=>[1,4,3,12,7,6,9,8,11,10,5,2]=>[5,4,1,1,1] {{1},{2,4,12},{3},{5,7,11},{6},{8,10},{9}}=>[1,4,3,12,7,6,11,10,9,8,5,2]=>[4,3,1,1,1,1,1] {{1},{2,4,12},{3},{5,9,11},{6,8},{7},{10}}=>[1,4,3,12,9,8,7,6,11,10,5,2]=>[4,3,1,1,1,1,1] {{1},{2,4,12},{3},{5,11},{6,8,10},{7},{9}}=>[1,4,3,12,11,8,7,10,9,6,5,2]=>[4,3,1,1,1,1,1] {{1},{2,4,12},{3},{5,11},{6,10},{7,9},{8}}=>[1,4,3,12,11,10,9,8,7,6,5,2]=>[3,2,1,1,1,1,1,1,1] {{1},{2,6,8,10,12},{3,5},{4},{7},{9},{11}}=>[1,6,5,4,3,8,7,10,9,12,11,2]=>[5,4,1,1,1] {{1},{2,6,8,12},{3,5},{4},{7},{9,11},{10}}=>[1,6,5,4,3,8,7,12,11,10,9,2]=>[4,3,2,2,1] {{1},{2,6,10,12},{3,5},{4},{7,9},{8},{11}}=>[1,6,5,4,3,10,9,8,7,12,11,2]=>[4,3,2,2,1] {{1},{2,6,12},{3,5},{4},{7,9,11},{8},{10}}=>[1,6,5,4,3,12,9,8,11,10,7,2]=>[4,3,2,2,1] {{1},{2,6,12},{3,5},{4},{7,11},{8,10},{9}}=>[1,6,5,4,3,12,11,10,9,8,7,2]=>[3,2,2,2,1,1,1] {{1},{2,8,10,12},{3,5,7},{4},{6},{9},{11}}=>[1,8,5,4,7,6,3,10,9,12,11,2]=>[5,4,1,1,1] {{1},{2,8,12},{3,5,7},{4},{6},{9,11},{10}}=>[1,8,5,4,7,6,3,12,11,10,9,2]=>[4,3,2,2,1] {{1},{2,8,10,12},{3,7},{4,6},{5},{9},{11}}=>[1,8,7,6,5,4,3,10,9,12,11,2]=>[4,3,1,1,1,1,1] {{1},{2,8,12},{3,7},{4,6},{5},{9,11},{10}}=>[1,8,7,6,5,4,3,12,11,10,9,2]=>[3,2,2,2,1,1,1] {{1},{2,10,12},{3,5,7,9},{4},{6},{8},{11}}=>[1,10,5,4,7,6,9,8,3,12,11,2]=>[5,4,1,1,1] {{1},{2,10,12},{3,5,9},{4},{6,8},{7},{11}}=>[1,10,5,4,9,8,7,6,3,12,11,2]=>[4,3,1,1,1,1,1] {{1},{2,10,12},{3,7,9},{4,6},{5},{8},{11}}=>[1,10,7,6,5,4,9,8,3,12,11,2]=>[4,3,1,1,1,1,1] {{1},{2,10,12},{3,9},{4,6,8},{5},{7},{11}}=>[1,10,9,6,5,8,7,4,3,12,11,2]=>[4,3,1,1,1,1,1] {{1},{2,10,12},{3,9},{4,8},{5,7},{6},{11}}=>[1,10,9,8,7,6,5,4,3,12,11,2]=>[3,2,1,1,1,1,1,1,1] {{1},{2,12},{3,5,7,9,11},{4},{6},{8},{10}}=>[1,12,5,4,7,6,9,8,11,10,3,2]=>[5,4,1,1,1] {{1},{2,12},{3,5,7,11},{4},{6},{8,10},{9}}=>[1,12,5,4,7,6,11,10,9,8,3,2]=>[4,3,1,1,1,1,1] {{1},{2,12},{3,5,9,11},{4},{6,8},{7},{10}}=>[1,12,5,4,9,8,7,6,11,10,3,2]=>[4,3,1,1,1,1,1] {{1},{2,12},{3,5,11},{4},{6,8,10},{7},{9}}=>[1,12,5,4,11,8,7,10,9,6,3,2]=>[4,3,1,1,1,1,1] {{1},{2,12},{3,5,11},{4},{6,10},{7,9},{8}}=>[1,12,5,4,11,10,9,8,7,6,3,2]=>[3,2,1,1,1,1,1,1,1] {{1},{2,12},{3,7,9,11},{4,6},{5},{8},{10}}=>[1,12,7,6,5,4,9,8,11,10,3,2]=>[4,3,1,1,1,1,1] {{1},{2,12},{3,7,11},{4,6},{5},{8,10},{9}}=>[1,12,7,6,5,4,11,10,9,8,3,2]=>[3,2,2,2,1,1,1] {{1},{2,12},{3,9,11},{4,6,8},{5},{7},{10}}=>[1,12,9,6,5,8,7,4,11,10,3,2]=>[4,3,1,1,1,1,1] {{1},{2,12},{3,9,11},{4,8},{5,7},{6},{10}}=>[1,12,9,8,7,6,5,4,11,10,3,2]=>[3,2,1,1,1,1,1,1,1] {{1},{2,12},{3,11},{4,6,8,10},{5},{7},{9}}=>[1,12,11,6,5,8,7,10,9,4,3,2]=>[4,3,1,1,1,1,1] {{1},{2,12},{3,11},{4,6,10},{5},{7,9},{8}}=>[1,12,11,6,5,10,9,8,7,4,3,2]=>[3,2,1,1,1,1,1,1,1] {{1},{2,12},{3,11},{4,8,10},{5,7},{6},{9}}=>[1,12,11,8,7,6,5,10,9,4,3,2]=>[3,2,1,1,1,1,1,1,1] {{1},{2,12},{3,11},{4,10},{5,7,9},{6},{8}}=>[1,12,11,10,7,6,9,8,5,4,3,2]=>[3,2,1,1,1,1,1,1,1] {{1},{2,12},{3,11},{4,10},{5,9},{6,8},{7}}=>[1,12,11,10,9,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1,1,1,1,1] {{1,3},{2},{4,6,8,10,12},{5},{7},{9},{11}}=>[3,2,1,6,5,8,7,10,9,12,11,4]=>[5,5,2] {{1,3},{2},{4,6,8,12},{5},{7},{9,11},{10}}=>[3,2,1,6,5,8,7,12,11,10,9,4]=>[4,4,2,1,1] {{1,3},{2},{4,6,10,12},{5},{7,9},{8},{11}}=>[3,2,1,6,5,10,9,8,7,12,11,4]=>[4,4,2,1,1] {{1,3},{2},{4,6,12},{5},{7,9,11},{8},{10}}=>[3,2,1,6,5,12,9,8,11,10,7,4]=>[4,4,2,1,1] {{1,3},{2},{4,6,12},{5},{7,11},{8,10},{9}}=>[3,2,1,6,5,12,11,10,9,8,7,4]=>[3,3,2,1,1,1,1] {{1,3},{2},{4,8,10,12},{5,7},{6},{9},{11}}=>[3,2,1,8,7,6,5,10,9,12,11,4]=>[4,4,2,1,1] {{1,3},{2},{4,8,12},{5,7},{6},{9,11},{10}}=>[3,2,1,8,7,6,5,12,11,10,9,4]=>[3,3,3,2,1] {{1,3},{2},{4,10,12},{5,7,9},{6},{8},{11}}=>[3,2,1,10,7,6,9,8,5,12,11,4]=>[4,4,2,1,1] {{1,3},{2},{4,10,12},{5,9},{6,8},{7},{11}}=>[3,2,1,10,9,8,7,6,5,12,11,4]=>[3,3,2,1,1,1,1] {{1,3},{2},{4,12},{5,7,9,11},{6},{8},{10}}=>[3,2,1,12,7,6,9,8,11,10,5,4]=>[4,4,2,1,1] {{1,3},{2},{4,12},{5,7,11},{6},{8,10},{9}}=>[3,2,1,12,7,6,11,10,9,8,5,4]=>[3,3,2,1,1,1,1] {{1,3},{2},{4,12},{5,9,11},{6,8},{7},{10}}=>[3,2,1,12,9,8,7,6,11,10,5,4]=>[3,3,2,1,1,1,1] {{1,3},{2},{4,12},{5,11},{6,8,10},{7},{9}}=>[3,2,1,12,11,8,7,10,9,6,5,4]=>[3,3,2,1,1,1,1] {{1,3},{2},{4,12},{5,11},{6,10},{7,9},{8}}=>[3,2,1,12,11,10,9,8,7,6,5,4]=>[2,2,2,1,1,1,1,1,1] {{1,3,5},{2},{4},{6,8,10,12},{7},{9},{11}}=>[3,2,5,4,1,8,7,10,9,12,11,6]=>[5,5,2] {{1,3,5},{2},{4},{6,8,12},{7},{9,11},{10}}=>[3,2,5,4,1,8,7,12,11,10,9,6]=>[4,4,2,1,1] {{1,3,5},{2},{4},{6,10,12},{7,9},{8},{11}}=>[3,2,5,4,1,10,9,8,7,12,11,6]=>[4,4,2,1,1] {{1,3,5},{2},{4},{6,12},{7,9,11},{8},{10}}=>[3,2,5,4,1,12,9,8,11,10,7,6]=>[4,4,2,1,1] {{1,3,5},{2},{4},{6,12},{7,11},{8,10},{9}}=>[3,2,5,4,1,12,11,10,9,8,7,6]=>[3,3,2,1,1,1,1] {{1,5},{2,4},{3},{6,8,10,12},{7},{9},{11}}=>[5,4,3,2,1,8,7,10,9,12,11,6]=>[4,4,2,1,1] {{1,5},{2,4},{3},{6,8,12},{7},{9,11},{10}}=>[5,4,3,2,1,8,7,12,11,10,9,6]=>[3,3,2,2,2] {{1,5},{2,4},{3},{6,10,12},{7,9},{8},{11}}=>[5,4,3,2,1,10,9,8,7,12,11,6]=>[3,3,2,2,2] {{1,5},{2,4},{3},{6,12},{7,9,11},{8},{10}}=>[5,4,3,2,1,12,9,8,11,10,7,6]=>[3,3,2,2,2] {{1,5},{2,4},{3},{6,12},{7,11},{8,10},{9}}=>[5,4,3,2,1,12,11,10,9,8,7,6]=>[2,2,2,2,2,1,1] {{1,3,5,7},{2},{4},{6},{8,10,12},{9},{11}}=>[3,2,5,4,7,6,1,10,9,12,11,8]=>[5,5,2] {{1,3,5,7},{2},{4},{6},{8,12},{9,11},{10}}=>[3,2,5,4,7,6,1,12,11,10,9,8]=>[4,4,2,1,1] {{1,3,7},{2},{4,6},{5},{8,10,12},{9},{11}}=>[3,2,7,6,5,4,1,10,9,12,11,8]=>[4,4,2,1,1] {{1,3,7},{2},{4,6},{5},{8,12},{9,11},{10}}=>[3,2,7,6,5,4,1,12,11,10,9,8]=>[3,3,2,2,2] {{1,5,7},{2,4},{3},{6},{8,10,12},{9},{11}}=>[5,4,3,2,7,6,1,10,9,12,11,8]=>[4,4,2,1,1] {{1,5,7},{2,4},{3},{6},{8,12},{9,11},{10}}=>[5,4,3,2,7,6,1,12,11,10,9,8]=>[3,3,2,2,2] {{1,7},{2,4,6},{3},{5},{8,10,12},{9},{11}}=>[7,4,3,6,5,2,1,10,9,12,11,8]=>[4,4,2,1,1] {{1,7},{2,4,6},{3},{5},{8,12},{9,11},{10}}=>[7,4,3,6,5,2,1,12,11,10,9,8]=>[3,3,2,2,2] {{1,7},{2,6},{3,5},{4},{8,10,12},{9},{11}}=>[7,6,5,4,3,2,1,10,9,12,11,8]=>[3,3,2,1,1,1,1] {{1,7},{2,6},{3,5},{4},{8,12},{9,11},{10}}=>[7,6,5,4,3,2,1,12,11,10,9,8]=>[2,2,2,2,2,1,1] {{1,3,5,7,9},{2},{4},{6},{8},{10,12},{11}}=>[3,2,5,4,7,6,9,8,1,12,11,10]=>[5,5,2] {{1,3,5,9},{2},{4},{6,8},{7},{10,12},{11}}=>[3,2,5,4,9,8,7,6,1,12,11,10]=>[4,4,2,1,1] {{1,3,7,9},{2},{4,6},{5},{8},{10,12},{11}}=>[3,2,7,6,5,4,9,8,1,12,11,10]=>[4,4,2,1,1] {{1,3,9},{2},{4,6,8},{5},{7},{10,12},{11}}=>[3,2,9,6,5,8,7,4,1,12,11,10]=>[4,4,2,1,1] {{1,3,9},{2},{4,8},{5,7},{6},{10,12},{11}}=>[3,2,9,8,7,6,5,4,1,12,11,10]=>[3,3,2,1,1,1,1] {{1,5,7,9},{2,4},{3},{6},{8},{10,12},{11}}=>[5,4,3,2,7,6,9,8,1,12,11,10]=>[4,4,2,1,1] {{1,5,9},{2,4},{3},{6,8},{7},{10,12},{11}}=>[5,4,3,2,9,8,7,6,1,12,11,10]=>[3,3,3,2,1] {{1,7,9},{2,4,6},{3},{5},{8},{10,12},{11}}=>[7,4,3,6,5,2,9,8,1,12,11,10]=>[4,4,2,1,1] {{1,7,9},{2,6},{3,5},{4},{8},{10,12},{11}}=>[7,6,5,4,3,2,9,8,1,12,11,10]=>[3,3,2,1,1,1,1] {{1,9},{2,4,6,8},{3},{5},{7},{10,12},{11}}=>[9,4,3,6,5,8,7,2,1,12,11,10]=>[4,4,2,1,1] {{1,9},{2,4,8},{3},{5,7},{6},{10,12},{11}}=>[9,4,3,8,7,6,5,2,1,12,11,10]=>[3,3,2,1,1,1,1] {{1,9},{2,6,8},{3,5},{4},{7},{10,12},{11}}=>[9,6,5,4,3,8,7,2,1,12,11,10]=>[3,3,2,1,1,1,1] {{1,9},{2,8},{3,5,7},{4},{6},{10,12},{11}}=>[9,8,5,4,7,6,3,2,1,12,11,10]=>[3,3,2,1,1,1,1] {{1,9},{2,8},{3,7},{4,6},{5},{10,12},{11}}=>[9,8,7,6,5,4,3,2,1,12,11,10]=>[2,2,2,1,1,1,1,1,1] {{1,3,5,7,9,11},{2},{4},{6},{8},{10},{12}}=>[3,2,5,4,7,6,9,8,11,10,1,12]=>[6,5,1] {{1,3,5,7,11},{2},{4},{6},{8,10},{9},{12}}=>[3,2,5,4,7,6,11,10,9,8,1,12]=>[5,4,1,1,1] {{1,3,5,9,11},{2},{4},{6,8},{7},{10},{12}}=>[3,2,5,4,9,8,7,6,11,10,1,12]=>[5,4,1,1,1] {{1,3,5,11},{2},{4},{6,8,10},{7},{9},{12}}=>[3,2,5,4,11,8,7,10,9,6,1,12]=>[5,4,1,1,1] {{1,3,5,11},{2},{4},{6,10},{7,9},{8},{12}}=>[3,2,5,4,11,10,9,8,7,6,1,12]=>[4,3,1,1,1,1,1] {{1,3,7,9,11},{2},{4,6},{5},{8},{10},{12}}=>[3,2,7,6,5,4,9,8,11,10,1,12]=>[5,4,1,1,1] {{1,3,7,11},{2},{4,6},{5},{8,10},{9},{12}}=>[3,2,7,6,5,4,11,10,9,8,1,12]=>[4,3,2,2,1] {{1,3,9,11},{2},{4,6,8},{5},{7},{10},{12}}=>[3,2,9,6,5,8,7,4,11,10,1,12]=>[5,4,1,1,1] {{1,3,9,11},{2},{4,8},{5,7},{6},{10},{12}}=>[3,2,9,8,7,6,5,4,11,10,1,12]=>[4,3,1,1,1,1,1] {{1,3,11},{2},{4,6,8,10},{5},{7},{9},{12}}=>[3,2,11,6,5,8,7,10,9,4,1,12]=>[5,4,1,1,1] {{1,3,11},{2},{4,6,10},{5},{7,9},{8},{12}}=>[3,2,11,6,5,10,9,8,7,4,1,12]=>[4,3,1,1,1,1,1] {{1,3,11},{2},{4,8,10},{5,7},{6},{9},{12}}=>[3,2,11,8,7,6,5,10,9,4,1,12]=>[4,3,1,1,1,1,1] {{1,3,11},{2},{4,10},{5,7,9},{6},{8},{12}}=>[3,2,11,10,7,6,9,8,5,4,1,12]=>[4,3,1,1,1,1,1] {{1,3,11},{2},{4,10},{5,9},{6,8},{7},{12}}=>[3,2,11,10,9,8,7,6,5,4,1,12]=>[3,2,1,1,1,1,1,1,1] {{1,5,7,9,11},{2,4},{3},{6},{8},{10},{12}}=>[5,4,3,2,7,6,9,8,11,10,1,12]=>[5,4,1,1,1] {{1,5,7,11},{2,4},{3},{6},{8,10},{9},{12}}=>[5,4,3,2,7,6,11,10,9,8,1,12]=>[4,3,2,2,1] {{1,5,9,11},{2,4},{3},{6,8},{7},{10},{12}}=>[5,4,3,2,9,8,7,6,11,10,1,12]=>[4,3,2,2,1] {{1,5,11},{2,4},{3},{6,8,10},{7},{9},{12}}=>[5,4,3,2,11,8,7,10,9,6,1,12]=>[4,3,2,2,1] {{1,5,11},{2,4},{3},{6,10},{7,9},{8},{12}}=>[5,4,3,2,11,10,9,8,7,6,1,12]=>[3,2,2,2,1,1,1] {{1,7,9,11},{2,4,6},{3},{5},{8},{10},{12}}=>[7,4,3,6,5,2,9,8,11,10,1,12]=>[5,4,1,1,1] {{1,7,11},{2,4,6},{3},{5},{8,10},{9},{12}}=>[7,4,3,6,5,2,11,10,9,8,1,12]=>[4,3,2,2,1] {{1,7,9,11},{2,6},{3,5},{4},{8},{10},{12}}=>[7,6,5,4,3,2,9,8,11,10,1,12]=>[4,3,1,1,1,1,1] {{1,7,11},{2,6},{3,5},{4},{8,10},{9},{12}}=>[7,6,5,4,3,2,11,10,9,8,1,12]=>[3,2,2,2,1,1,1] {{1,9,11},{2,4,6,8},{3},{5},{7},{10},{12}}=>[9,4,3,6,5,8,7,2,11,10,1,12]=>[5,4,1,1,1] {{1,9,11},{2,4,8},{3},{5,7},{6},{10},{12}}=>[9,4,3,8,7,6,5,2,11,10,1,12]=>[4,3,1,1,1,1,1] {{1,9,11},{2,6,8},{3,5},{4},{7},{10},{12}}=>[9,6,5,4,3,8,7,2,11,10,1,12]=>[4,3,1,1,1,1,1] {{1,9,11},{2,8},{3,5,7},{4},{6},{10},{12}}=>[9,8,5,4,7,6,3,2,11,10,1,12]=>[4,3,1,1,1,1,1] {{1,9,11},{2,8},{3,7},{4,6},{5},{10},{12}}=>[9,8,7,6,5,4,3,2,11,10,1,12]=>[3,2,1,1,1,1,1,1,1] {{1,11},{2,4,6,8,10},{3},{5},{7},{9},{12}}=>[11,4,3,6,5,8,7,10,9,2,1,12]=>[5,4,1,1,1] {{1,11},{2,4,6,10},{3},{5},{7,9},{8},{12}}=>[11,4,3,6,5,10,9,8,7,2,1,12]=>[4,3,1,1,1,1,1] {{1,11},{2,4,8,10},{3},{5,7},{6},{9},{12}}=>[11,4,3,8,7,6,5,10,9,2,1,12]=>[4,3,1,1,1,1,1] {{1,11},{2,4,10},{3},{5,7,9},{6},{8},{12}}=>[11,4,3,10,7,6,9,8,5,2,1,12]=>[4,3,1,1,1,1,1] {{1,11},{2,4,10},{3},{5,9},{6,8},{7},{12}}=>[11,4,3,10,9,8,7,6,5,2,1,12]=>[3,2,1,1,1,1,1,1,1] {{1,11},{2,6,8,10},{3,5},{4},{7},{9},{12}}=>[11,6,5,4,3,8,7,10,9,2,1,12]=>[4,3,1,1,1,1,1] {{1,11},{2,6,10},{3,5},{4},{7,9},{8},{12}}=>[11,6,5,4,3,10,9,8,7,2,1,12]=>[3,2,2,2,1,1,1] {{1,11},{2,8,10},{3,5,7},{4},{6},{9},{12}}=>[11,8,5,4,7,6,3,10,9,2,1,12]=>[4,3,1,1,1,1,1] {{1,11},{2,8,10},{3,7},{4,6},{5},{9},{12}}=>[11,8,7,6,5,4,3,10,9,2,1,12]=>[3,2,1,1,1,1,1,1,1] {{1,11},{2,10},{3,5,7,9},{4},{6},{8},{12}}=>[11,10,5,4,7,6,9,8,3,2,1,12]=>[4,3,1,1,1,1,1] {{1,11},{2,10},{3,5,9},{4},{6,8},{7},{12}}=>[11,10,5,4,9,8,7,6,3,2,1,12]=>[3,2,1,1,1,1,1,1,1] {{1,11},{2,10},{3,7,9},{4,6},{5},{8},{12}}=>[11,10,7,6,5,4,9,8,3,2,1,12]=>[3,2,1,1,1,1,1,1,1] {{1,11},{2,10},{3,9},{4,6,8},{5},{7},{12}}=>[11,10,9,6,5,8,7,4,3,2,1,12]=>[3,2,1,1,1,1,1,1,1] {{1,11},{2,10},{3,9},{4,8},{5,7},{6},{12}}=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[2,1,1,1,1,1,1,1,1,1,1] {{1,2,4},{3,5,6,8},{7}}=>[2,4,5,1,6,8,7,3]=>[5,2,1] {{1},{2,4},{3,5,6,8},{7}}=>[1,4,5,2,6,8,7,3]=>[5,2,1] {{1,3,5,8},{2,4,6,7}}=>[3,4,5,6,8,7,2,1]=>[5,1,1,1] {{1,4},{2,3,6},{5,7,8}}=>[4,3,6,1,7,2,8,5]=>[4,3,1] {{1,5,7,8},{2,3,6},{4}}=>[5,3,6,4,7,2,8,1]=>[4,2,1,1] {{1,4,6},{2,3,5,8},{7}}=>[4,3,5,6,8,1,7,2]=>[4,2,2] {{1,6},{2,3,5,8},{4,7}}=>[6,3,5,7,8,1,4,2]=>[4,2,1,1] {{1,3,6},{2,4,5,7,8}}=>[3,4,6,5,7,1,8,2]=>[5,2,1] {{1,3,5},{2,7,8},{4,6}}=>[3,7,5,6,1,4,8,2]=>[4,2,1,1] {{1,4,5,6},{2},{3,7,8}}=>[4,2,7,5,6,1,8,3]=>[4,2,2] {{1},{2,3,6,8},{4,7},{5}}=>[1,3,6,7,5,8,4,2]=>[5,1,1,1] {{1,4,8},{2,5,7},{3,6}}=>[4,5,6,8,7,3,2,1]=>[4,1,1,1,1] {{1},{2,4,7},{3,5,6,8}}=>[1,4,5,7,6,8,2,3]=>[5,2,1] {{1,3,6},{2,4,5,7},{8}}=>[3,4,6,5,7,1,2,8]=>[5,2,1] {{1,4,7},{2,5},{3,6,8}}=>[4,5,6,7,2,8,1,3]=>[5,2,1] {{1,2,5,7},{3,8},{4,6}}=>[2,5,8,6,7,4,1,3]=>[4,2,1,1] {{1},{2,3,6},{4,7},{5},{8}}=>[1,3,6,7,5,2,4,8]=>[5,2,1] {{1},{2,5,8},{3,6},{4},{7}}=>[1,5,6,4,8,3,7,2]=>[4,2,1,1]
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.