Identifier
Mp00080: Set partitions to permutationPermutations
Mp00126: Permutations cactus evacuationPermutations
Mp00066: Permutations inversePermutations
Images
=>
Cc0009;cc-rep-0
{{1}}=>[1]=>[1]=>[1] {{1,2}}=>[2,1]=>[2,1]=>[2,1] {{1},{2}}=>[1,2]=>[1,2]=>[1,2] {{1,2,3}}=>[2,3,1]=>[2,1,3]=>[2,1,3] {{1,2},{3}}=>[2,1,3]=>[2,3,1]=>[3,1,2] {{1,3},{2}}=>[3,2,1]=>[3,2,1]=>[3,2,1] {{1},{2,3}}=>[1,3,2]=>[3,1,2]=>[2,3,1] {{1},{2},{3}}=>[1,2,3]=>[1,2,3]=>[1,2,3] {{1,2,3,4}}=>[2,3,4,1]=>[2,1,3,4]=>[2,1,3,4] {{1,2,3},{4}}=>[2,3,1,4]=>[2,3,1,4]=>[3,1,2,4] {{1,2,4},{3}}=>[2,4,3,1]=>[4,2,1,3]=>[3,2,4,1] {{1,2},{3,4}}=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3] {{1,2},{3},{4}}=>[2,1,3,4]=>[2,3,4,1]=>[4,1,2,3] {{1,3,4},{2}}=>[3,2,4,1]=>[3,2,4,1]=>[4,2,1,3] {{1,3},{2,4}}=>[3,4,1,2]=>[3,4,1,2]=>[3,4,1,2] {{1,3},{2},{4}}=>[3,2,1,4]=>[3,4,2,1]=>[4,3,1,2] {{1,4},{2,3}}=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1] {{1},{2,3,4}}=>[1,3,4,2]=>[3,1,2,4]=>[2,3,1,4] {{1},{2,3},{4}}=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4] {{1,4},{2},{3}}=>[4,2,3,1]=>[4,2,3,1]=>[4,2,3,1] {{1},{2,4},{3}}=>[1,4,3,2]=>[4,3,1,2]=>[3,4,2,1] {{1},{2},{3,4}}=>[1,2,4,3]=>[4,1,2,3]=>[2,3,4,1] {{1},{2},{3},{4}}=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] {{1,2,3,4,5}}=>[2,3,4,5,1]=>[2,1,3,4,5]=>[2,1,3,4,5] {{1,2,3,4},{5}}=>[2,3,4,1,5]=>[2,3,1,4,5]=>[3,1,2,4,5] {{1,2,3,5},{4}}=>[2,3,5,4,1]=>[5,2,1,3,4]=>[3,2,4,5,1] {{1,2,3},{4,5}}=>[2,3,1,5,4]=>[2,1,5,3,4]=>[2,1,4,5,3] {{1,2,3},{4},{5}}=>[2,3,1,4,5]=>[2,3,4,1,5]=>[4,1,2,3,5] {{1,2,4,5},{3}}=>[2,4,3,5,1]=>[4,2,3,1,5]=>[4,2,3,1,5] {{1,2,4},{3,5}}=>[2,4,5,1,3]=>[2,4,1,3,5]=>[3,1,4,2,5] {{1,2,4},{3},{5}}=>[2,4,3,1,5]=>[2,4,3,1,5]=>[4,1,3,2,5] {{1,2,5},{3,4}}=>[2,5,4,3,1]=>[5,4,2,1,3]=>[4,3,5,2,1] {{1,2},{3,4,5}}=>[2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,3,4] {{1,2},{3,4},{5}}=>[2,1,4,3,5]=>[2,4,1,5,3]=>[3,1,5,2,4] {{1,2,5},{3},{4}}=>[2,5,3,4,1]=>[5,2,3,1,4]=>[4,2,3,5,1] {{1,2},{3,5},{4}}=>[2,1,5,4,3]=>[5,2,1,4,3]=>[3,2,5,4,1] {{1,2},{3},{4,5}}=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] {{1,2},{3},{4},{5}}=>[2,1,3,4,5]=>[2,3,4,5,1]=>[5,1,2,3,4] {{1,3,4,5},{2}}=>[3,2,4,5,1]=>[3,2,4,5,1]=>[5,2,1,3,4] {{1,3,4},{2,5}}=>[3,5,4,1,2]=>[3,5,4,1,2]=>[4,5,1,3,2] {{1,3,4},{2},{5}}=>[3,2,4,1,5]=>[3,4,2,5,1]=>[5,3,1,2,4] {{1,3,5},{2,4}}=>[3,4,5,2,1]=>[3,2,1,4,5]=>[3,2,1,4,5] {{1,3},{2,4,5}}=>[3,4,1,5,2]=>[3,1,4,2,5]=>[2,4,1,3,5] {{1,3},{2,4},{5}}=>[3,4,1,2,5]=>[3,4,5,1,2]=>[4,5,1,2,3] {{1,3,5},{2},{4}}=>[3,2,5,4,1]=>[3,2,1,5,4]=>[3,2,1,5,4] {{1,3},{2,5},{4}}=>[3,5,1,4,2]=>[5,3,4,1,2]=>[4,5,2,3,1] {{1,3},{2},{4,5}}=>[3,2,1,5,4]=>[3,2,5,4,1]=>[5,2,1,4,3] {{1,3},{2},{4},{5}}=>[3,2,1,4,5]=>[3,4,5,2,1]=>[5,4,1,2,3] {{1,4,5},{2,3}}=>[4,3,2,5,1]=>[4,3,5,2,1]=>[5,4,2,1,3] {{1,4},{2,3,5}}=>[4,3,5,1,2]=>[4,5,1,3,2]=>[3,5,4,1,2] {{1,4},{2,3},{5}}=>[4,3,2,1,5]=>[4,5,3,2,1]=>[5,4,3,1,2] {{1,5},{2,3,4}}=>[5,3,4,2,1]=>[5,3,2,4,1]=>[5,3,2,4,1] {{1},{2,3,4,5}}=>[1,3,4,5,2]=>[3,1,2,4,5]=>[2,3,1,4,5] {{1},{2,3,4},{5}}=>[1,3,4,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5] {{1,5},{2,3},{4}}=>[5,3,2,4,1]=>[5,3,4,2,1]=>[5,4,2,3,1] {{1},{2,3,5},{4}}=>[1,3,5,4,2]=>[5,3,1,2,4]=>[3,4,2,5,1] {{1},{2,3},{4,5}}=>[1,3,2,5,4]=>[3,1,5,2,4]=>[2,4,1,5,3] {{1},{2,3},{4},{5}}=>[1,3,2,4,5]=>[1,3,4,2,5]=>[1,4,2,3,5] {{1,4,5},{2},{3}}=>[4,2,3,5,1]=>[4,2,3,5,1]=>[5,2,3,1,4] {{1,4},{2,5},{3}}=>[4,5,3,1,2]=>[4,5,3,1,2]=>[4,5,3,1,2] {{1,4},{2},{3,5}}=>[4,2,5,1,3]=>[4,5,2,3,1]=>[5,3,4,1,2] {{1,4},{2},{3},{5}}=>[4,2,3,1,5]=>[2,4,3,5,1]=>[5,1,3,2,4] {{1,5},{2,4},{3}}=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1] {{1},{2,4,5},{3}}=>[1,4,3,5,2]=>[4,1,3,2,5]=>[2,4,3,1,5] {{1},{2,4},{3,5}}=>[1,4,5,2,3]=>[4,5,1,2,3]=>[3,4,5,1,2] {{1},{2,4},{3},{5}}=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5] {{1,5},{2},{3,4}}=>[5,2,4,3,1]=>[5,4,2,3,1]=>[5,3,4,2,1] {{1},{2,5},{3,4}}=>[1,5,4,3,2]=>[5,4,3,1,2]=>[4,5,3,2,1] {{1},{2},{3,4,5}}=>[1,2,4,5,3]=>[4,1,2,3,5]=>[2,3,4,1,5] {{1},{2},{3,4},{5}}=>[1,2,4,3,5]=>[1,4,2,3,5]=>[1,3,4,2,5] {{1,5},{2},{3},{4}}=>[5,2,3,4,1]=>[5,2,3,4,1]=>[5,2,3,4,1] {{1},{2,5},{3},{4}}=>[1,5,3,4,2]=>[5,1,3,2,4]=>[2,4,3,5,1] {{1},{2},{3,5},{4}}=>[1,2,5,4,3]=>[5,4,1,2,3]=>[3,4,5,2,1] {{1},{2},{3},{4,5}}=>[1,2,3,5,4]=>[5,1,2,3,4]=>[2,3,4,5,1] {{1},{2},{3},{4},{5}}=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] {{1,2,3,4,5,6}}=>[2,3,4,5,6,1]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] {{1,2,3,4,5},{6}}=>[2,3,4,5,1,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6] {{1,2,3,4,6},{5}}=>[2,3,4,6,5,1]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1] {{1,2,3,4},{5,6}}=>[2,3,4,1,6,5]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3] {{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6] {{1,2,3,5,6},{4}}=>[2,3,5,4,6,1]=>[5,2,3,1,4,6]=>[4,2,3,5,1,6] {{1,2,3,5},{4,6}}=>[2,3,5,6,1,4]=>[2,5,1,3,4,6]=>[3,1,4,5,2,6] {{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6]=>[2,5,3,1,4,6]=>[4,1,3,5,2,6] {{1,2,3,6},{4,5}}=>[2,3,6,5,4,1]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1] {{1,2,3},{4,5,6}}=>[2,3,1,5,6,4]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] {{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6] {{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1]=>[6,2,3,1,4,5]=>[4,2,3,5,6,1] {{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4]=>[6,2,1,5,3,4]=>[3,2,5,6,4,1] {{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4] {{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6] {{1,2,4,5,6},{3}}=>[2,4,3,5,6,1]=>[4,2,3,5,1,6]=>[5,2,3,1,4,6] {{1,2,4,5},{3,6}}=>[2,4,6,5,1,3]=>[2,6,4,1,3,5]=>[4,1,5,3,6,2] {{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6]=>[2,4,3,5,1,6]=>[5,1,3,2,4,6] {{1,2,4,6},{3,5}}=>[2,4,5,6,3,1]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6] {{1,2,4},{3,5,6}}=>[2,4,5,1,6,3]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] {{1,2,4},{3,5},{6}}=>[2,4,5,1,3,6]=>[2,4,5,1,3,6]=>[4,1,5,2,3,6] {{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1]=>[4,2,1,6,3,5]=>[3,2,5,1,6,4] {{1,2,4},{3,6},{5}}=>[2,4,6,1,5,3]=>[6,2,4,1,3,5]=>[4,2,5,3,6,1] {{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5]=>[4,2,6,3,1,5]=>[5,2,4,1,6,3] {{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6] {{1,2,5,6},{3,4}}=>[2,5,4,3,6,1]=>[5,2,4,3,1,6]=>[5,2,4,3,1,6] {{1,2,5},{3,4,6}}=>[2,5,4,6,1,3]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6] {{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6]=>[2,5,4,3,1,6]=>[5,1,4,3,2,6] {{1,2,6},{3,4,5}}=>[2,6,4,5,3,1]=>[6,4,2,3,1,5]=>[5,3,4,2,6,1] {{1,2},{3,4,5,6}}=>[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5] {{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5] {{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1]=>[6,2,4,3,1,5]=>[5,2,4,3,6,1] {{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3]=>[6,2,1,4,5,3]=>[3,2,6,4,5,1] {{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] {{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5] {{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1]=>[5,2,3,4,1,6]=>[5,2,3,4,1,6] {{1,2,5},{3,6},{4}}=>[2,5,6,4,1,3]=>[2,5,4,1,3,6]=>[4,1,5,3,2,6] {{1,2,5},{3},{4,6}}=>[2,5,3,6,1,4]=>[5,6,2,3,1,4]=>[5,3,4,6,1,2] {{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[5,1,3,4,2,6] {{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1] {{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3]=>[5,2,4,1,6,3]=>[4,2,6,3,1,5] {{1,2},{3,5},{4,6}}=>[2,1,5,6,3,4]=>[2,5,1,3,6,4]=>[3,1,4,6,2,5] {{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6]=>[2,5,4,1,6,3]=>[4,1,6,3,2,5] {{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1]=>[6,5,2,3,1,4]=>[5,3,4,6,2,1] {{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1] {{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5] {{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5] {{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1]=>[6,2,3,4,1,5]=>[5,2,3,4,6,1] {{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3]=>[6,2,4,1,5,3]=>[4,2,6,3,5,1] {{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4]=>[6,2,1,3,5,4]=>[3,2,4,6,5,1] {{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] {{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5] {{1,3,4,5,6},{2}}=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5] {{1,3,4,5},{2,6}}=>[3,6,4,5,1,2]=>[3,6,1,4,2,5]=>[3,5,1,4,6,2] {{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5] {{1,3,4,6},{2,5}}=>[3,5,4,6,2,1]=>[5,3,2,4,1,6]=>[5,3,2,4,1,6] {{1,3,4},{2,5,6}}=>[3,5,4,1,6,2]=>[3,1,5,4,2,6]=>[2,5,1,4,3,6] {{1,3,4},{2,5},{6}}=>[3,5,4,1,2,6]=>[3,5,6,4,1,2]=>[5,6,1,4,2,3] {{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5] {{1,3,4},{2,6},{5}}=>[3,6,4,1,5,2]=>[3,1,6,4,2,5]=>[2,5,1,4,6,3] {{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5]=>[3,2,6,4,5,1]=>[6,2,1,4,5,3] {{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5] {{1,3,5,6},{2,4}}=>[3,4,5,2,6,1]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6] {{1,3,5},{2,4,6}}=>[3,4,5,6,1,2]=>[3,4,1,2,5,6]=>[3,4,1,2,5,6] {{1,3,5},{2,4},{6}}=>[3,4,5,2,1,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6] {{1,3,6},{2,4,5}}=>[3,4,6,5,2,1]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1] {{1,3},{2,4,5,6}}=>[3,4,1,5,6,2]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6] {{1,3},{2,4,5},{6}}=>[3,4,1,5,2,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6] {{1,3,6},{2,4},{5}}=>[3,4,6,2,5,1]=>[3,2,6,1,4,5]=>[4,2,1,5,6,3] {{1,3},{2,4,6},{5}}=>[3,4,1,6,5,2]=>[6,3,1,4,2,5]=>[3,5,2,4,6,1] {{1,3},{2,4},{5,6}}=>[3,4,1,2,6,5]=>[3,1,4,6,2,5]=>[2,5,1,3,6,4] {{1,3},{2,4},{5},{6}}=>[3,4,1,2,5,6]=>[3,4,5,6,1,2]=>[5,6,1,2,3,4] {{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1]=>[3,2,5,1,6,4]=>[4,2,1,6,3,5] {{1,3,5},{2,6},{4}}=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[5,6,1,4,3,2] {{1,3,5},{2},{4,6}}=>[3,2,5,6,1,4]=>[3,5,2,4,6,1]=>[6,3,1,4,2,5] {{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6]=>[3,5,2,1,6,4]=>[4,3,1,6,2,5] {{1,3,6},{2,5},{4}}=>[3,5,6,4,2,1]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6] {{1,3},{2,5,6},{4}}=>[3,5,1,4,6,2]=>[5,3,4,6,1,2]=>[5,6,2,3,1,4] {{1,3},{2,5},{4,6}}=>[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[3,5,1,6,2,4] {{1,3},{2,5},{4},{6}}=>[3,5,1,4,2,6]=>[3,5,4,6,1,2]=>[5,6,1,3,2,4] {{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1] {{1,3},{2,6},{4,5}}=>[3,6,1,5,4,2]=>[6,5,3,4,1,2]=>[5,6,3,4,2,1] {{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4] {{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6]=>[3,5,2,6,4,1]=>[6,3,1,5,2,4] {{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1]=>[3,2,4,1,6,5]=>[4,2,1,3,6,5] {{1,3},{2,6},{4},{5}}=>[3,6,1,4,5,2]=>[6,3,4,5,1,2]=>[5,6,2,3,4,1] {{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4] {{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5]=>[3,2,4,6,5,1]=>[6,2,1,3,5,4] {{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4] {{1,4,5,6},{2,3}}=>[4,3,2,5,6,1]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4] {{1,4,5},{2,3,6}}=>[4,3,6,5,1,2]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2] {{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4] {{1,4,6},{2,3,5}}=>[4,3,5,6,2,1]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5] {{1,4},{2,3,5,6}}=>[4,3,5,1,6,2]=>[4,1,5,3,6,2]=>[2,6,4,1,3,5] {{1,4},{2,3,5},{6}}=>[4,3,5,1,2,6]=>[4,5,6,1,3,2]=>[4,6,5,1,2,3] {{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4] {{1,4},{2,3,6},{5}}=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[4,6,2,1,5,3] {{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3] {{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3] {{1,5,6},{2,3,4}}=>[5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[6,4,2,3,1,5] {{1,5},{2,3,4,6}}=>[5,3,4,6,1,2]=>[3,5,1,4,6,2]=>[3,6,1,4,2,5] {{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6]=>[3,5,4,2,6,1]=>[6,4,1,3,2,5] {{1,6},{2,3,4,5}}=>[6,3,4,5,2,1]=>[6,3,2,4,5,1]=>[6,3,2,4,5,1] {{1},{2,3,4,5,6}}=>[1,3,4,5,6,2]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6] {{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] {{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1]=>[6,3,4,2,5,1]=>[6,4,2,3,5,1] {{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1] {{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5]=>[3,1,6,2,4,5]=>[2,4,1,5,6,3] {{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6] {{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1]=>[5,3,4,6,2,1]=>[6,5,2,3,1,4] {{1,5},{2,3,6},{4}}=>[5,3,6,4,1,2]=>[5,6,3,1,4,2]=>[4,6,3,5,1,2] {{1,5},{2,3},{4,6}}=>[5,3,2,6,1,4]=>[5,6,3,4,2,1]=>[6,5,3,4,1,2] {{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6]=>[3,5,4,6,2,1]=>[6,5,1,3,2,4] {{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1]=>[6,5,3,2,4,1]=>[6,4,3,5,2,1] {{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2]=>[5,1,3,2,4,6]=>[2,4,3,5,1,6] {{1},{2,3,5},{4,6}}=>[1,3,5,6,2,4]=>[3,5,1,2,4,6]=>[3,4,1,5,2,6] {{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6]=>[1,5,3,2,4,6]=>[1,4,3,5,2,6] {{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1] {{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1] {{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6] {{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] {{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1]=>[6,3,4,5,2,1]=>[6,5,2,3,4,1] {{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2]=>[6,1,3,2,4,5]=>[2,4,3,5,6,1] {{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4]=>[6,3,1,5,2,4]=>[3,5,2,6,4,1] {{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4] {{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6] {{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1]=>[4,2,3,5,6,1]=>[6,2,3,1,4,5] {{1,4,5},{2,6},{3}}=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[5,6,3,1,4,2] {{1,4,5},{2},{3,6}}=>[4,2,6,5,1,3]=>[4,6,2,1,5,3]=>[4,3,6,1,5,2] {{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6]=>[2,4,3,5,6,1]=>[6,1,3,2,4,5] {{1,4,6},{2,5},{3}}=>[4,5,3,6,2,1]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6] {{1,4},{2,5,6},{3}}=>[4,5,3,1,6,2]=>[4,1,5,3,2,6]=>[2,5,4,1,3,6] {{1,4},{2,5},{3,6}}=>[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3] {{1,4},{2,5},{3},{6}}=>[4,5,3,1,2,6]=>[4,5,6,3,1,2]=>[5,6,4,1,2,3] {{1,4,6},{2},{3,5}}=>[4,2,5,6,3,1]=>[4,2,1,5,6,3]=>[3,2,6,1,4,5] {{1,4},{2,6},{3,5}}=>[4,6,5,1,3,2]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1] {{1,4},{2},{3,5,6}}=>[4,2,5,1,6,3]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5] {{1,4},{2},{3,5},{6}}=>[4,2,5,1,3,6]=>[4,5,6,2,3,1]=>[6,4,5,1,2,3] {{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1]=>[4,2,1,3,6,5]=>[3,2,4,1,6,5] {{1,4},{2,6},{3},{5}}=>[4,6,3,1,5,2]=>[4,3,6,5,1,2]=>[5,6,2,1,4,3] {{1,4},{2},{3,6},{5}}=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3] {{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5]=>[4,2,6,3,5,1]=>[6,2,4,1,5,3] {{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6]=>[2,4,5,3,6,1]=>[6,1,4,2,3,5] {{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3] {{1,5},{2,4,6},{3}}=>[5,4,3,6,1,2]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2] {{1,5},{2,4},{3,6}}=>[5,4,6,2,1,3]=>[5,6,4,2,3,1]=>[6,4,5,3,1,2] {{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2] {{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[6,5,3,2,4,1] {{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2]=>[4,1,3,5,2,6]=>[2,5,3,1,4,6] {{1},{2,4,5},{3,6}}=>[1,4,6,5,2,3]=>[4,6,5,1,2,3]=>[4,5,6,1,3,2] {{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6]=>[1,4,3,5,2,6]=>[1,5,3,2,4,6] {{1,6},{2,4},{3,5}}=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1] {{1},{2,4,6},{3,5}}=>[1,4,5,6,3,2]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6] {{1},{2,4},{3,5,6}}=>[1,4,5,2,6,3]=>[4,1,5,2,3,6]=>[2,4,5,1,3,6] {{1},{2,4},{3,5},{6}}=>[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[1,4,5,2,3,6] {{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1]=>[6,4,5,3,2,1]=>[6,5,4,2,3,1] {{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2]=>[4,3,1,6,2,5]=>[3,5,2,1,6,4] {{1},{2,4},{3,6},{5}}=>[1,4,6,2,5,3]=>[6,4,5,1,2,3]=>[4,5,6,2,3,1] {{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3] {{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6]=>[1,4,5,3,2,6]=>[1,5,4,2,3,6] {{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[6,2,4,3,1,5] {{1,5},{2,6},{3,4}}=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2] {{1,5},{2},{3,4,6}}=>[5,2,4,6,1,3]=>[2,5,1,4,6,3]=>[3,1,6,4,2,5] {{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6]=>[2,5,4,3,6,1]=>[6,1,4,3,2,5] {{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] {{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6] {{1},{2,5},{3,4,6}}=>[1,5,4,6,2,3]=>[5,6,1,4,2,3]=>[3,5,6,4,1,2] {{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6] {{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1]=>[6,4,2,3,5,1]=>[6,3,4,2,5,1] {{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2]=>[6,4,1,3,2,5]=>[3,5,4,2,6,1] {{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6] {{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6] {{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[6,2,4,3,5,1] {{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2]=>[6,1,4,3,2,5]=>[2,5,4,3,6,1] {{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1] {{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5]=>[4,1,6,2,3,5]=>[2,4,5,1,6,3] {{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] {{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1]=>[5,2,3,4,6,1]=>[6,2,3,4,1,5] {{1,5},{2,6},{3},{4}}=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2] {{1,5},{2},{3,6},{4}}=>[5,2,6,4,1,3]=>[5,6,2,1,4,3]=>[4,3,6,5,1,2] {{1,5},{2},{3},{4,6}}=>[5,2,3,6,1,4]=>[5,6,2,3,4,1]=>[6,3,4,5,1,2] {{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6]=>[2,5,3,4,6,1]=>[6,1,3,4,2,5] {{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1] {{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2]=>[5,1,3,4,2,6]=>[2,5,3,4,1,6] {{1},{2,5},{3,6},{4}}=>[1,5,6,4,2,3]=>[5,6,4,1,2,3]=>[4,5,6,3,1,2] {{1},{2,5},{3},{4,6}}=>[1,5,3,6,2,4]=>[5,6,1,3,2,4]=>[3,5,4,6,1,2] {{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6]=>[1,5,3,4,2,6]=>[1,5,3,4,2,6] {{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1]=>[6,5,4,2,3,1]=>[6,4,5,3,2,1] {{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1] {{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3]=>[5,1,4,2,3,6]=>[2,4,5,3,1,6] {{1},{2},{3,5},{4,6}}=>[1,2,5,6,3,4]=>[5,6,1,2,3,4]=>[3,4,5,6,1,2] {{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6]=>[1,5,4,2,3,6]=>[1,4,5,3,2,6] {{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1]=>[6,5,2,3,4,1]=>[6,3,4,5,2,1] {{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2]=>[6,5,1,3,2,4]=>[3,5,4,6,2,1] {{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1] {{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6] {{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6] {{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[6,2,3,4,5,1] {{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2]=>[6,1,3,4,2,5]=>[2,5,3,4,6,1] {{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3]=>[6,1,4,2,3,5]=>[2,4,5,3,6,1] {{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1] {{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1] {{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] {{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] {{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7] {{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1] {{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6]=>[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3] {{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7] {{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1]=>[6,2,3,1,4,5,7]=>[4,2,3,5,6,1,7] {{1,2,3,4,6},{5,7}}=>[2,3,4,6,7,1,5]=>[2,6,1,3,4,5,7]=>[3,1,4,5,6,2,7] {{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7]=>[2,6,3,1,4,5,7]=>[4,1,3,5,6,2,7] {{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1]=>[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1] {{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7] {{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7]=>[2,3,1,6,4,5,7]=>[3,1,2,5,6,4,7] {{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1]=>[7,2,3,1,4,5,6]=>[4,2,3,5,6,7,1] {{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5]=>[7,2,1,6,3,4,5]=>[3,2,5,6,7,4,1] {{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6]=>[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4] {{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7] {{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6,7] {{1,2,3,5,6},{4,7}}=>[2,3,5,7,6,1,4]=>[2,7,5,1,3,4,6]=>[4,1,5,6,3,7,2] {{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7]=>[2,5,3,4,1,6,7]=>[5,1,3,4,2,6,7] {{1,2,3,5,7},{4,6}}=>[2,3,5,6,7,4,1]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7] {{1,2,3,5},{4,6,7}}=>[2,3,5,6,1,7,4]=>[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7] {{1,2,3,5},{4,6},{7}}=>[2,3,5,6,1,4,7]=>[2,3,5,1,4,6,7]=>[4,1,2,5,3,6,7] {{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1]=>[5,2,1,7,3,4,6]=>[3,2,5,6,1,7,4] {{1,2,3,5},{4,7},{6}}=>[2,3,5,7,1,6,4]=>[7,2,5,1,3,4,6]=>[4,2,5,6,3,7,1] {{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6]=>[5,2,7,3,1,4,6]=>[5,2,4,6,1,7,3] {{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7] {{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1]=>[6,2,5,3,1,4,7]=>[5,2,4,6,3,1,7] {{1,2,3,6},{4,5,7}}=>[2,3,6,5,7,1,4]=>[2,6,1,5,3,4,7]=>[3,1,5,6,4,2,7] {{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7]=>[2,6,5,3,1,4,7]=>[5,1,4,6,3,2,7] {{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1]=>[7,5,2,3,1,4,6]=>[5,3,4,6,2,7,1] {{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7] {{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7] {{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1]=>[7,2,5,3,1,4,6]=>[5,2,4,6,3,7,1] {{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4]=>[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1] {{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6]=>[2,1,5,3,7,4,6]=>[2,1,4,6,3,7,5] {{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7]=>[2,3,5,1,6,4,7]=>[4,1,2,6,3,5,7] {{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1]=>[6,2,3,4,1,5,7]=>[5,2,3,4,6,1,7] {{1,2,3,6},{4,7},{5}}=>[2,3,6,7,5,1,4]=>[2,6,5,1,3,4,7]=>[4,1,5,6,3,2,7] {{1,2,3,6},{4},{5,7}}=>[2,3,6,4,7,1,5]=>[6,7,2,3,1,4,5]=>[5,3,4,6,7,1,2] {{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7]=>[2,6,3,4,1,5,7]=>[5,1,3,4,6,2,7] {{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1]=>[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1] {{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4]=>[6,2,3,1,5,4,7]=>[4,2,3,6,5,1,7] {{1,2,3},{4,6},{5,7}}=>[2,3,1,6,7,4,5]=>[2,6,1,3,7,4,5]=>[3,1,4,6,7,2,5] {{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7]=>[2,6,3,1,5,4,7]=>[4,1,3,6,5,2,7] {{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1]=>[7,6,2,3,1,4,5]=>[5,3,4,6,7,2,1] {{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4]=>[7,6,2,1,5,3,4]=>[4,3,6,7,5,2,1] {{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] {{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7] {{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1]=>[7,2,3,4,1,5,6]=>[5,2,3,4,6,7,1] {{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4]=>[7,2,3,1,5,4,6]=>[4,2,3,6,5,7,1] {{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5]=>[7,2,1,3,6,4,5]=>[3,2,4,6,7,5,1] {{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5] {{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7] {{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1]=>[4,2,3,5,6,1,7]=>[6,2,3,1,4,5,7] {{1,2,4,5,6},{3,7}}=>[2,4,7,5,6,1,3]=>[2,7,1,4,3,5,6]=>[3,1,5,4,6,7,2] {{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7] {{1,2,4,5,7},{3,6}}=>[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[5,3,4,2,6,1,7] {{1,2,4,5},{3,6,7}}=>[2,4,6,5,1,7,3]=>[2,1,6,4,3,5,7]=>[2,1,5,4,6,3,7] {{1,2,4,5},{3,6},{7}}=>[2,4,6,5,1,3,7]=>[2,4,6,5,1,3,7]=>[5,1,6,2,4,3,7] {{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1]=>[4,2,1,3,7,5,6]=>[3,2,4,1,6,7,5] {{1,2,4,5},{3,7},{6}}=>[2,4,7,5,1,6,3]=>[2,1,7,4,3,5,6]=>[2,1,5,4,6,7,3] {{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6]=>[4,2,7,3,5,1,6]=>[6,2,4,1,5,7,3] {{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7]=>[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7] {{1,2,4,6,7},{3,5}}=>[2,4,5,6,3,7,1]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6,7] {{1,2,4,6},{3,5,7}}=>[2,4,5,6,7,1,3]=>[2,4,1,3,5,6,7]=>[3,1,4,2,5,6,7] {{1,2,4,6},{3,5},{7}}=>[2,4,5,6,3,1,7]=>[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7] {{1,2,4,7},{3,5,6}}=>[2,4,5,7,6,3,1]=>[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1] {{1,2,4},{3,5,6,7}}=>[2,4,5,1,6,7,3]=>[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7] {{1,2,4},{3,5,6},{7}}=>[2,4,5,1,6,3,7]=>[2,4,1,5,3,6,7]=>[3,1,5,2,4,6,7] {{1,2,4,7},{3,5},{6}}=>[2,4,5,7,3,6,1]=>[4,2,7,1,3,5,6]=>[4,2,5,1,6,7,3] {{1,2,4},{3,5,7},{6}}=>[2,4,5,1,7,6,3]=>[7,2,1,4,3,5,6]=>[3,2,5,4,6,7,1] {{1,2,4},{3,5},{6,7}}=>[2,4,5,1,3,7,6]=>[2,1,4,7,3,5,6]=>[2,1,5,3,6,7,4] {{1,2,4},{3,5},{6},{7}}=>[2,4,5,1,3,6,7]=>[2,4,5,6,1,3,7]=>[5,1,6,2,3,4,7] {{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1]=>[4,2,3,1,6,5,7]=>[4,2,3,1,6,5,7] {{1,2,4,6},{3,7},{5}}=>[2,4,7,6,5,1,3]=>[2,7,6,4,1,3,5]=>[5,1,6,4,7,3,2] {{1,2,4,6},{3},{5,7}}=>[2,4,3,6,7,1,5]=>[4,6,2,3,5,1,7]=>[6,3,4,1,5,2,7] {{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7]=>[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7] {{1,2,4,7},{3,6},{5}}=>[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7] {{1,2,4},{3,6,7},{5}}=>[2,4,6,1,5,7,3]=>[6,2,4,5,1,3,7]=>[5,2,6,3,4,1,7] {{1,2,4},{3,6},{5,7}}=>[2,4,6,1,7,3,5]=>[2,4,1,6,3,5,7]=>[3,1,5,2,6,4,7] {{1,2,4},{3,6},{5},{7}}=>[2,4,6,1,5,3,7]=>[2,6,4,5,1,3,7]=>[5,1,6,3,4,2,7] {{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1]=>[7,4,2,1,6,3,5]=>[4,3,6,2,7,5,1] {{1,2,4},{3,7},{5,6}}=>[2,4,7,1,6,5,3]=>[7,6,2,4,1,3,5]=>[5,3,6,4,7,2,1] {{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5]=>[4,2,3,6,5,1,7]=>[6,2,3,1,5,4,7] {{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7]=>[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7] {{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1]=>[4,2,3,1,7,5,6]=>[4,2,3,1,6,7,5] {{1,2,4},{3,7},{5},{6}}=>[2,4,7,1,5,6,3]=>[7,2,4,5,1,3,6]=>[5,2,6,3,4,7,1] {{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5]=>[4,2,1,7,6,3,5]=>[3,2,6,1,7,5,4] {{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6]=>[4,2,3,7,5,1,6]=>[6,2,3,1,5,7,4] {{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7]=>[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7] {{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1]=>[5,2,4,6,3,1,7]=>[6,2,5,3,1,4,7] {{1,2,5,6},{3,4,7}}=>[2,5,4,7,6,1,3]=>[5,7,2,1,4,3,6]=>[4,3,6,5,1,7,2] {{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7]=>[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7] {{1,2,5,7},{3,4,6}}=>[2,5,4,6,7,3,1]=>[5,4,2,3,6,1,7]=>[6,3,4,2,1,5,7] {{1,2,5},{3,4,6,7}}=>[2,5,4,6,1,7,3]=>[2,1,5,4,6,3,7]=>[2,1,6,4,3,5,7] {{1,2,5},{3,4,6},{7}}=>[2,5,4,6,1,3,7]=>[2,5,6,1,4,3,7]=>[4,1,6,5,2,3,7] {{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1]=>[5,4,2,7,3,1,6]=>[6,3,5,2,1,7,4] {{1,2,5},{3,4,7},{6}}=>[2,5,4,7,1,6,3]=>[5,2,7,1,4,3,6]=>[4,2,6,5,1,7,3] {{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6]=>[5,2,7,4,3,1,6]=>[6,2,5,4,1,7,3] {{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7]=>[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7] {{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[6,2,4,3,5,1,7] {{1,2,6},{3,4,5,7}}=>[2,6,4,5,7,1,3]=>[2,6,1,4,5,3,7]=>[3,1,6,4,5,2,7] {{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7]=>[2,6,4,3,5,1,7]=>[6,1,4,3,5,2,7] {{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1]=>[7,4,2,3,5,1,6]=>[6,3,4,2,5,7,1] {{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6] {{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7]=>[2,4,1,5,6,7,3]=>[3,1,7,2,4,5,6] {{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1]=>[7,2,4,3,5,1,6]=>[6,2,4,3,5,7,1] {{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3]=>[7,2,1,4,5,6,3]=>[3,2,7,4,5,6,1] {{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] {{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7]=>[2,4,5,1,6,7,3]=>[4,1,7,2,3,5,6] {{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[6,2,5,3,4,1,7] {{1,2,6},{3,4,7},{5}}=>[2,6,4,7,5,1,3]=>[6,7,2,1,4,3,5]=>[4,3,6,5,7,1,2] {{1,2,6},{3,4},{5,7}}=>[2,6,4,3,7,1,5]=>[6,7,2,4,3,1,5]=>[6,3,5,4,7,1,2] {{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7]=>[2,6,4,5,3,1,7]=>[6,1,5,3,4,2,7] {{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1]=>[7,6,4,2,3,1,5]=>[6,4,5,3,7,2,1] {{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3]=>[6,2,4,1,5,7,3]=>[4,2,7,3,5,1,6] {{1,2},{3,4,6},{5,7}}=>[2,1,4,6,7,3,5]=>[2,4,1,3,6,7,5]=>[3,1,4,2,7,5,6] {{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7]=>[2,6,4,1,5,7,3]=>[4,1,7,3,5,2,6] {{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1]=>[7,4,2,6,3,1,5]=>[6,3,5,2,7,4,1] {{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3]=>[7,6,2,1,4,5,3]=>[4,3,7,5,6,2,1] {{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5]=>[2,1,4,6,3,7,5]=>[2,1,5,3,7,4,6] {{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7]=>[2,4,1,6,3,7,5]=>[3,1,5,2,7,4,6] {{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1]=>[7,2,4,5,3,1,6]=>[6,2,5,3,4,7,1] {{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3]=>[7,2,4,1,5,6,3]=>[4,2,7,3,5,6,1] {{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5]=>[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1] {{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6] {{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7]=>[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6] {{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1]=>[5,2,3,4,6,1,7]=>[6,2,3,4,1,5,7] {{1,2,5,6},{3,7},{4}}=>[2,5,7,4,6,1,3]=>[5,7,2,4,1,3,6]=>[5,3,6,4,1,7,2] {{1,2,5,6},{3},{4,7}}=>[2,5,3,7,6,1,4]=>[5,7,2,1,6,3,4]=>[4,3,6,7,1,5,2] {{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[6,1,3,4,2,5,7] {{1,2,5,7},{3,6},{4}}=>[2,5,6,4,7,3,1]=>[5,4,2,3,1,6,7]=>[5,3,4,2,1,6,7] {{1,2,5},{3,6,7},{4}}=>[2,5,6,4,1,7,3]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7] {{1,2,5},{3,6},{4,7}}=>[2,5,6,7,1,3,4]=>[2,5,6,1,3,4,7]=>[4,1,5,6,2,3,7] {{1,2,5},{3,6},{4},{7}}=>[2,5,6,4,1,3,7]=>[2,5,6,4,1,3,7]=>[5,1,6,4,2,3,7] {{1,2,5,7},{3},{4,6}}=>[2,5,3,6,7,4,1]=>[5,2,1,3,6,4,7]=>[3,2,4,6,1,5,7] {{1,2,5},{3,7},{4,6}}=>[2,5,7,6,1,4,3]=>[7,2,5,4,1,3,6]=>[5,2,6,4,3,7,1] {{1,2,5},{3},{4,6,7}}=>[2,5,3,6,1,7,4]=>[5,2,6,3,4,1,7]=>[6,2,4,5,1,3,7] {{1,2,5},{3},{4,6},{7}}=>[2,5,3,6,1,4,7]=>[2,5,6,3,4,1,7]=>[6,1,4,5,2,3,7] {{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1]=>[5,2,1,3,7,4,6]=>[3,2,4,6,1,7,5] {{1,2,5},{3,7},{4},{6}}=>[2,5,7,4,1,6,3]=>[5,2,7,4,1,3,6]=>[5,2,6,4,1,7,3] {{1,2,5},{3},{4,7},{6}}=>[2,5,3,7,1,6,4]=>[5,2,7,1,6,3,4]=>[4,2,6,7,1,5,3] {{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6]=>[5,2,7,3,4,1,6]=>[6,2,4,5,1,7,3] {{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7]=>[2,3,5,4,6,1,7]=>[6,1,2,4,3,5,7] {{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1]=>[6,2,5,4,3,1,7]=>[6,2,5,4,3,1,7] {{1,2,6},{3,5,7},{4}}=>[2,6,5,4,7,1,3]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7] {{1,2,6},{3,5},{4,7}}=>[2,6,5,7,3,1,4]=>[6,7,5,2,3,1,4]=>[6,4,5,7,3,1,2] {{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7] {{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1]=>[7,5,2,4,3,1,6]=>[6,3,5,4,2,7,1] {{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3]=>[5,2,4,6,1,7,3]=>[5,2,7,3,1,4,6] {{1,2},{3,5,6},{4,7}}=>[2,1,5,7,6,3,4]=>[2,7,5,1,3,6,4]=>[4,1,5,7,3,6,2] {{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7]=>[2,5,4,6,1,7,3]=>[5,1,7,3,2,4,6] {{1,2,7},{3,5},{4,6}}=>[2,7,5,6,3,4,1]=>[7,5,6,2,3,1,4]=>[6,4,5,7,2,3,1] {{1,2},{3,5,7},{4,6}}=>[2,1,5,6,7,4,3]=>[5,2,1,4,6,7,3]=>[3,2,7,4,1,5,6] {{1,2},{3,5},{4,6,7}}=>[2,1,5,6,3,7,4]=>[2,1,5,3,6,7,4]=>[2,1,4,7,3,5,6] {{1,2},{3,5},{4,6},{7}}=>[2,1,5,6,3,4,7]=>[2,5,6,1,3,7,4]=>[4,1,5,7,2,3,6] {{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1]=>[7,2,5,4,3,1,6]=>[6,2,5,4,3,7,1] {{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6] {{1,2},{3,5},{4,7},{6}}=>[2,1,5,7,3,6,4]=>[7,2,5,1,3,6,4]=>[4,2,5,7,3,6,1] {{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6] {{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7]=>[2,5,6,4,1,7,3]=>[5,1,7,4,2,3,6] {{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[6,2,4,5,3,1,7] {{1,2,6},{3,7},{4,5}}=>[2,6,7,5,4,1,3]=>[2,6,5,4,1,3,7]=>[5,1,6,4,3,2,7] {{1,2,6},{3},{4,5,7}}=>[2,6,3,5,7,1,4]=>[2,6,1,3,5,4,7]=>[3,1,4,6,5,2,7] {{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7]=>[2,6,5,3,4,1,7]=>[6,1,4,5,3,2,7] {{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1] {{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3]=>[6,2,5,4,1,7,3]=>[5,2,7,4,3,1,6] {{1,2},{3,6},{4,5,7}}=>[2,1,6,5,7,3,4]=>[2,6,1,5,3,7,4]=>[3,1,5,7,4,2,6] {{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7]=>[2,6,5,4,1,7,3]=>[5,1,7,4,3,2,6] {{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1]=>[7,5,2,3,4,1,6]=>[6,3,4,5,2,7,1] {{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3]=>[7,5,2,4,1,6,3]=>[5,3,7,4,2,6,1] {{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6] {{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6] {{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1]=>[7,2,5,3,4,1,6]=>[6,2,4,5,3,7,1] {{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3]=>[7,2,5,4,1,6,3]=>[5,2,7,4,3,6,1] {{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4]=>[7,2,1,3,5,6,4]=>[3,2,4,7,5,6,1] {{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6] {{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7]=>[2,3,5,1,6,7,4]=>[4,1,2,7,3,5,6] {{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1]=>[6,2,3,4,5,1,7]=>[6,2,3,4,5,1,7] {{1,2,6},{3,7},{4},{5}}=>[2,6,7,4,5,1,3]=>[6,7,2,4,1,3,5]=>[5,3,6,4,7,1,2] {{1,2,6},{3},{4,7},{5}}=>[2,6,3,7,5,1,4]=>[6,7,2,1,5,3,4]=>[4,3,6,7,5,1,2] {{1,2,6},{3},{4},{5,7}}=>[2,6,3,4,7,1,5]=>[6,7,2,3,4,1,5]=>[6,3,4,5,7,1,2] {{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7]=>[2,6,3,4,5,1,7]=>[6,1,3,4,5,2,7] {{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1]=>[7,6,2,4,3,1,5]=>[6,3,5,4,7,2,1] {{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3]=>[6,2,4,5,1,7,3]=>[5,2,7,3,4,1,6] {{1,2},{3,6},{4,7},{5}}=>[2,1,6,7,5,3,4]=>[2,6,5,1,3,7,4]=>[4,1,5,7,3,2,6] {{1,2},{3,6},{4},{5,7}}=>[2,1,6,4,7,3,5]=>[2,6,1,4,3,7,5]=>[3,1,5,4,7,2,6] {{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7]=>[2,6,4,5,1,7,3]=>[5,1,7,3,4,2,6] {{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1]=>[7,6,5,2,3,1,4]=>[6,4,5,7,3,2,1] {{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1] {{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4]=>[6,2,3,1,5,7,4]=>[4,2,3,7,5,1,6] {{1,2},{3},{4,6},{5,7}}=>[2,1,3,6,7,4,5]=>[2,6,1,3,4,7,5]=>[3,1,4,5,7,2,6] {{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7]=>[2,6,3,1,5,7,4]=>[4,1,3,7,5,2,6] {{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1]=>[7,6,2,3,4,1,5]=>[6,3,4,5,7,2,1] {{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3]=>[7,6,2,4,1,5,3]=>[5,3,7,4,6,2,1] {{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4]=>[7,6,2,1,3,5,4]=>[4,3,5,7,6,2,1] {{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6] {{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6] {{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1]=>[7,2,3,4,5,1,6]=>[6,2,3,4,5,7,1] {{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3]=>[7,2,4,5,1,6,3]=>[5,2,7,3,4,6,1] {{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4]=>[7,2,3,1,5,6,4]=>[4,2,3,7,5,6,1] {{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5]=>[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1] {{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] {{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6] {{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6] {{1,3,4,5,6},{2,7}}=>[3,7,4,5,6,1,2]=>[3,7,1,4,5,2,6]=>[3,6,1,4,5,7,2] {{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6] {{1,3,4,5,7},{2,6}}=>[3,6,4,5,7,2,1]=>[6,3,2,4,5,1,7]=>[6,3,2,4,5,1,7] {{1,3,4,5},{2,6,7}}=>[3,6,4,5,1,7,2]=>[3,1,6,4,5,2,7]=>[2,6,1,4,5,3,7] {{1,3,4,5},{2,6},{7}}=>[3,6,4,5,1,2,7]=>[3,4,6,1,5,2,7]=>[4,6,1,2,5,3,7] {{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6] {{1,3,4,5},{2,7},{6}}=>[3,7,4,5,1,6,2]=>[3,1,7,4,5,2,6]=>[2,6,1,4,5,7,3] {{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6]=>[3,2,7,4,5,6,1]=>[7,2,1,4,5,6,3] {{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6] {{1,3,4,6,7},{2,5}}=>[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[6,4,2,3,1,5,7] {{1,3,4,6},{2,5,7}}=>[3,5,4,6,7,1,2]=>[3,5,1,4,6,2,7]=>[3,6,1,4,2,5,7] {{1,3,4,6},{2,5},{7}}=>[3,5,4,6,2,1,7]=>[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7] {{1,3,4,7},{2,5,6}}=>[3,5,4,7,6,2,1]=>[5,3,2,1,7,4,6]=>[4,3,2,6,1,7,5] {{1,3,4},{2,5,6,7}}=>[3,5,4,1,6,7,2]=>[3,1,5,6,4,2,7]=>[2,6,1,5,3,4,7] {{1,3,4},{2,5,6},{7}}=>[3,5,4,1,6,2,7]=>[3,5,1,6,4,2,7]=>[3,6,1,5,2,4,7] {{1,3,4,7},{2,5},{6}}=>[3,5,4,7,2,6,1]=>[5,3,7,2,4,1,6]=>[6,4,2,5,1,7,3] {{1,3,4},{2,5,7},{6}}=>[3,5,4,1,7,6,2]=>[5,3,1,7,4,2,6]=>[3,6,2,5,1,7,4] {{1,3,4},{2,5},{6,7}}=>[3,5,4,1,2,7,6]=>[3,1,5,7,4,2,6]=>[2,6,1,5,3,7,4] {{1,3,4},{2,5},{6},{7}}=>[3,5,4,1,2,6,7]=>[3,5,6,7,4,1,2]=>[6,7,1,5,2,3,4] {{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1]=>[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6] {{1,3,4,6},{2,7},{5}}=>[3,7,4,6,5,1,2]=>[3,7,6,1,4,2,5]=>[4,6,1,5,7,3,2] {{1,3,4,6},{2},{5,7}}=>[3,2,4,6,7,1,5]=>[3,6,2,4,5,7,1]=>[7,3,1,4,5,2,6] {{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7]=>[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6] {{1,3,4,7},{2,6},{5}}=>[3,6,4,7,5,2,1]=>[6,3,2,1,7,4,5]=>[4,3,2,6,7,1,5] {{1,3,4},{2,6,7},{5}}=>[3,6,4,1,5,7,2]=>[3,1,4,6,5,2,7]=>[2,6,1,3,5,4,7] {{1,3,4},{2,6},{5,7}}=>[3,6,4,1,7,2,5]=>[3,6,1,7,4,2,5]=>[3,6,1,5,7,2,4] {{1,3,4},{2,6},{5},{7}}=>[3,6,4,1,5,2,7]=>[3,4,1,6,5,2,7]=>[3,6,1,2,5,4,7] {{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1]=>[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1] {{1,3,4},{2,7},{5,6}}=>[3,7,4,1,6,5,2]=>[7,3,1,6,4,2,5]=>[3,6,2,5,7,4,1] {{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5]=>[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6] {{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7]=>[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6] {{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1]=>[3,2,4,1,5,7,6]=>[4,2,1,3,5,7,6] {{1,3,4},{2,7},{5},{6}}=>[3,7,4,1,5,6,2]=>[3,1,4,7,5,2,6]=>[2,6,1,3,5,7,4] {{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5]=>[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4] {{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6]=>[3,2,4,7,5,6,1]=>[7,2,1,3,5,6,4] {{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6] {{1,3,5,6,7},{2,4}}=>[3,4,5,2,6,7,1]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7] {{1,3,5,6},{2,4,7}}=>[3,4,5,7,6,1,2]=>[3,7,4,1,2,5,6]=>[4,5,1,3,6,7,2] {{1,3,5,6},{2,4},{7}}=>[3,4,5,2,6,1,7]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7] {{1,3,5,7},{2,4,6}}=>[3,4,5,6,7,2,1]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] {{1,3,5},{2,4,6,7}}=>[3,4,5,6,1,7,2]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7] {{1,3,5},{2,4,6},{7}}=>[3,4,5,6,1,2,7]=>[3,4,5,1,2,6,7]=>[4,5,1,2,3,6,7] {{1,3,5,7},{2,4},{6}}=>[3,4,5,2,7,6,1]=>[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4] {{1,3,5},{2,4,7},{6}}=>[3,4,5,7,1,6,2]=>[7,3,4,1,2,5,6]=>[4,5,2,3,6,7,1] {{1,3,5},{2,4},{6,7}}=>[3,4,5,2,1,7,6]=>[3,2,7,4,1,5,6]=>[5,2,1,4,6,7,3] {{1,3,5},{2,4},{6},{7}}=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7] {{1,3,6,7},{2,4,5}}=>[3,4,6,5,2,7,1]=>[6,3,4,2,1,5,7]=>[5,4,2,3,6,1,7] {{1,3,6},{2,4,5,7}}=>[3,4,6,5,7,1,2]=>[3,6,1,4,2,5,7]=>[3,5,1,4,6,2,7] {{1,3,6},{2,4,5},{7}}=>[3,4,6,5,2,1,7]=>[3,6,4,2,1,5,7]=>[5,4,1,3,6,2,7] {{1,3,7},{2,4,5,6}}=>[3,4,7,5,6,2,1]=>[7,3,2,4,1,5,6]=>[5,3,2,4,6,7,1] {{1,3},{2,4,5,6,7}}=>[3,4,1,5,6,7,2]=>[3,1,4,5,6,2,7]=>[2,6,1,3,4,5,7] {{1,3},{2,4,5,6},{7}}=>[3,4,1,5,6,2,7]=>[3,4,1,5,6,2,7]=>[3,6,1,2,4,5,7] {{1,3,7},{2,4,5},{6}}=>[3,4,7,5,2,6,1]=>[7,3,4,2,1,5,6]=>[5,4,2,3,6,7,1] {{1,3},{2,4,5,7},{6}}=>[3,4,1,5,7,6,2]=>[7,3,1,4,5,2,6]=>[3,6,2,4,5,7,1] {{1,3},{2,4,5},{6,7}}=>[3,4,1,5,2,7,6]=>[3,1,4,2,7,5,6]=>[2,4,1,3,6,7,5] {{1,3},{2,4,5},{6},{7}}=>[3,4,1,5,2,6,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7] {{1,3,6,7},{2,4},{5}}=>[3,4,6,2,5,7,1]=>[3,2,4,6,1,5,7]=>[5,2,1,3,6,4,7] {{1,3,6},{2,4,7},{5}}=>[3,4,6,7,5,1,2]=>[3,6,4,1,2,5,7]=>[4,5,1,3,6,2,7] {{1,3,6},{2,4},{5,7}}=>[3,4,6,2,7,1,5]=>[3,6,2,4,1,5,7]=>[5,3,1,4,6,2,7] {{1,3,6},{2,4},{5},{7}}=>[3,4,6,2,5,1,7]=>[3,4,2,6,1,5,7]=>[5,3,1,2,6,4,7] {{1,3,7},{2,4,6},{5}}=>[3,4,7,6,5,2,1]=>[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1] {{1,3},{2,4,6,7},{5}}=>[3,4,1,6,5,7,2]=>[6,3,4,1,5,2,7]=>[4,6,2,3,5,1,7] {{1,3},{2,4,6},{5,7}}=>[3,4,1,6,7,2,5]=>[3,4,1,2,6,5,7]=>[3,4,1,2,6,5,7] {{1,3},{2,4,6},{5},{7}}=>[3,4,1,6,5,2,7]=>[3,6,4,1,5,2,7]=>[4,6,1,3,5,2,7] {{1,3,7},{2,4},{5,6}}=>[3,4,7,2,6,5,1]=>[7,3,2,6,1,4,5]=>[5,3,2,6,7,4,1] {{1,3},{2,4,7},{5,6}}=>[3,4,1,7,6,5,2]=>[7,6,3,1,4,2,5]=>[4,6,3,5,7,2,1] {{1,3},{2,4},{5,6,7}}=>[3,4,1,2,6,7,5]=>[3,1,4,6,7,2,5]=>[2,6,1,3,7,4,5] {{1,3},{2,4},{5,6},{7}}=>[3,4,1,2,6,5,7]=>[3,4,1,6,7,2,5]=>[3,6,1,2,7,4,5] {{1,3,7},{2,4},{5},{6}}=>[3,4,7,2,5,6,1]=>[3,2,4,7,1,5,6]=>[5,2,1,3,6,7,4] {{1,3},{2,4,7},{5},{6}}=>[3,4,1,7,5,6,2]=>[7,3,4,1,5,2,6]=>[4,6,2,3,5,7,1] {{1,3},{2,4},{5,7},{6}}=>[3,4,1,2,7,6,5]=>[7,3,1,4,6,2,5]=>[3,6,2,4,7,5,1] {{1,3},{2,4},{5},{6,7}}=>[3,4,1,2,5,7,6]=>[3,1,4,5,7,2,6]=>[2,6,1,3,4,7,5] {{1,3},{2,4},{5},{6},{7}}=>[3,4,1,2,5,6,7]=>[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5] {{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1]=>[3,2,5,6,1,7,4]=>[5,2,1,7,3,4,6] {{1,3,5,6},{2,7},{4}}=>[3,7,5,4,6,1,2]=>[3,7,1,5,4,2,6]=>[3,6,1,5,4,7,2] {{1,3,5,6},{2},{4,7}}=>[3,2,5,7,6,1,4]=>[3,7,2,1,5,6,4]=>[4,3,1,7,5,6,2] {{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7]=>[3,5,2,6,1,7,4]=>[5,3,1,7,2,4,6] {{1,3,5,7},{2,6},{4}}=>[3,6,5,4,7,2,1]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1,7] {{1,3,5},{2,6,7},{4}}=>[3,6,5,4,1,7,2]=>[3,1,6,5,4,2,7]=>[2,6,1,5,4,3,7] {{1,3,5},{2,6},{4,7}}=>[3,6,5,7,1,2,4]=>[3,6,7,1,5,2,4]=>[4,6,1,7,5,2,3] {{1,3,5},{2,6},{4},{7}}=>[3,6,5,4,1,2,7]=>[3,6,7,5,4,1,2]=>[6,7,1,5,4,2,3] {{1,3,5,7},{2},{4,6}}=>[3,2,5,6,7,4,1]=>[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6] {{1,3,5},{2,7},{4,6}}=>[3,7,5,6,1,4,2]=>[7,3,5,1,4,2,6]=>[4,6,2,5,3,7,1] {{1,3,5},{2},{4,6,7}}=>[3,2,5,6,1,7,4]=>[3,2,5,4,6,7,1]=>[7,2,1,4,3,5,6] {{1,3,5},{2},{4,6},{7}}=>[3,2,5,6,1,4,7]=>[3,5,6,2,4,7,1]=>[7,4,1,5,2,3,6] {{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6] {{1,3,5},{2,7},{4},{6}}=>[3,7,5,4,1,6,2]=>[3,1,7,5,4,2,6]=>[2,6,1,5,4,7,3] {{1,3,5},{2},{4,7},{6}}=>[3,2,5,7,1,6,4]=>[3,2,7,1,5,6,4]=>[4,2,1,7,5,6,3] {{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6] {{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7]=>[3,5,6,2,1,7,4]=>[5,4,1,7,2,3,6] {{1,3,6,7},{2,5},{4}}=>[3,5,6,4,2,7,1]=>[5,3,4,2,1,6,7]=>[5,4,2,3,1,6,7] {{1,3,6},{2,5,7},{4}}=>[3,5,6,4,7,1,2]=>[3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7] {{1,3,6},{2,5},{4,7}}=>[3,5,6,7,2,1,4]=>[3,5,2,1,4,6,7]=>[4,3,1,5,2,6,7] {{1,3,6},{2,5},{4},{7}}=>[3,5,6,4,2,1,7]=>[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7] {{1,3,7},{2,5,6},{4}}=>[3,5,7,4,6,2,1]=>[5,3,2,7,1,4,6]=>[5,3,2,6,1,7,4] {{1,3},{2,5,6,7},{4}}=>[3,5,1,4,6,7,2]=>[5,3,4,6,7,1,2]=>[6,7,2,3,1,4,5] {{1,3},{2,5,6},{4,7}}=>[3,5,1,7,6,2,4]=>[3,7,5,1,6,2,4]=>[4,6,1,7,3,5,2] {{1,3},{2,5,6},{4},{7}}=>[3,5,1,4,6,2,7]=>[3,5,4,6,7,1,2]=>[6,7,1,3,2,4,5] {{1,3,7},{2,5},{4,6}}=>[3,5,7,6,2,4,1]=>[7,3,5,2,1,4,6]=>[5,4,2,6,3,7,1] {{1,3},{2,5,7},{4,6}}=>[3,5,1,6,7,4,2]=>[5,3,1,4,6,2,7]=>[3,6,2,4,1,5,7] {{1,3},{2,5},{4,6,7}}=>[3,5,1,6,2,7,4]=>[3,1,5,2,6,4,7]=>[2,4,1,6,3,5,7] {{1,3},{2,5},{4,6},{7}}=>[3,5,1,6,2,4,7]=>[3,5,6,1,7,2,4]=>[4,6,1,7,2,3,5] {{1,3,7},{2,5},{4},{6}}=>[3,5,7,4,2,6,1]=>[5,3,7,2,1,4,6]=>[5,4,2,6,1,7,3] {{1,3},{2,5,7},{4},{6}}=>[3,5,1,4,7,6,2]=>[5,3,1,4,7,2,6]=>[3,6,2,4,1,7,5] {{1,3},{2,5},{4,7},{6}}=>[3,5,1,7,2,6,4]=>[7,3,5,1,6,2,4]=>[4,6,2,7,3,5,1] {{1,3},{2,5},{4},{6,7}}=>[3,5,1,4,2,7,6]=>[3,1,5,4,7,2,6]=>[2,6,1,4,3,7,5] {{1,3},{2,5},{4},{6},{7}}=>[3,5,1,4,2,6,7]=>[3,5,6,4,7,1,2]=>[6,7,1,4,2,3,5] {{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1]=>[6,3,5,2,1,7,4]=>[5,4,2,7,3,1,6] {{1,3,6},{2,7},{4,5}}=>[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2] {{1,3,6},{2},{4,5,7}}=>[3,2,6,5,7,1,4]=>[3,6,2,5,1,7,4]=>[5,3,1,7,4,2,6] {{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7]=>[3,6,5,2,1,7,4]=>[5,4,1,7,3,2,6] {{1,3,7},{2,6},{4,5}}=>[3,6,7,5,4,2,1]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7] {{1,3},{2,6,7},{4,5}}=>[3,6,1,5,4,7,2]=>[6,3,5,4,7,1,2]=>[6,7,2,4,3,1,5] {{1,3},{2,6},{4,5,7}}=>[3,6,1,5,7,2,4]=>[3,6,1,5,7,2,4]=>[3,6,1,7,4,2,5] {{1,3},{2,6},{4,5},{7}}=>[3,6,1,5,4,2,7]=>[3,6,5,4,7,1,2]=>[6,7,1,4,3,2,5] {{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1]=>[7,3,2,5,1,6,4]=>[5,3,2,7,4,6,1] {{1,3},{2,7},{4,5,6}}=>[3,7,1,5,6,4,2]=>[7,5,3,4,6,1,2]=>[6,7,3,4,2,5,1] {{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4]=>[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5] {{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7]=>[3,5,2,6,7,4,1]=>[7,3,1,6,2,4,5] {{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1]=>[7,3,5,2,1,6,4]=>[5,4,2,7,3,6,1] {{1,3},{2,7},{4,5},{6}}=>[3,7,1,5,4,6,2]=>[7,3,5,4,6,1,2]=>[6,7,2,4,3,5,1] {{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4]=>[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5] {{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6]=>[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5] {{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7]=>[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5] {{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1]=>[3,2,4,6,1,7,5]=>[5,2,1,3,7,4,6] {{1,3,6},{2,7},{4},{5}}=>[3,7,6,4,5,1,2]=>[3,7,1,6,4,2,5]=>[3,6,1,5,7,4,2] {{1,3,6},{2},{4,7},{5}}=>[3,2,6,7,5,1,4]=>[3,6,2,1,5,7,4]=>[4,3,1,7,5,2,6] {{1,3,6},{2},{4},{5,7}}=>[3,2,6,4,7,1,5]=>[3,6,2,4,1,7,5]=>[5,3,1,4,7,2,6] {{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7]=>[3,4,2,6,1,7,5]=>[5,3,1,2,7,4,6] {{1,3,7},{2,6},{4},{5}}=>[3,6,7,4,5,2,1]=>[6,3,2,7,1,4,5]=>[5,3,2,6,7,1,4] {{1,3},{2,6,7},{4},{5}}=>[3,6,1,4,5,7,2]=>[6,3,4,5,7,1,2]=>[6,7,2,3,4,1,5] {{1,3},{2,6},{4,7},{5}}=>[3,6,1,7,5,2,4]=>[3,6,5,1,7,2,4]=>[4,6,1,7,3,2,5] {{1,3},{2,6},{4},{5,7}}=>[3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5] {{1,3},{2,6},{4},{5},{7}}=>[3,6,1,4,5,2,7]=>[3,6,4,5,7,1,2]=>[6,7,1,3,4,2,5] {{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1] {{1,3},{2,7},{4,6},{5}}=>[3,7,1,6,5,4,2]=>[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1] {{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4]=>[3,2,6,1,7,5,4]=>[4,2,1,7,6,3,5] {{1,3},{2},{4,6},{5,7}}=>[3,2,1,6,7,4,5]=>[3,6,2,4,7,5,1]=>[7,3,1,4,6,2,5] {{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7]=>[3,6,2,1,7,5,4]=>[4,3,1,7,6,2,5] {{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1]=>[7,3,2,4,1,6,5]=>[5,3,2,4,7,6,1] {{1,3},{2,7},{4},{5,6}}=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,1,2]=>[6,7,3,4,5,2,1] {{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1] {{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5]=>[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5] {{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7]=>[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5] {{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1]=>[3,2,4,5,1,7,6]=>[5,2,1,3,4,7,6] {{1,3},{2,7},{4},{5},{6}}=>[3,7,1,4,5,6,2]=>[7,3,4,5,6,1,2]=>[6,7,2,3,4,5,1] {{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4]=>[3,2,5,1,7,6,4]=>[4,2,1,7,3,6,5] {{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5] {{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6]=>[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5] {{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5] {{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5] {{1,4,5,6},{2,3,7}}=>[4,3,7,5,6,1,2]=>[4,7,3,5,1,6,2]=>[5,7,3,1,4,6,2] {{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5] {{1,4,5,7},{2,3,6}}=>[4,3,6,5,7,2,1]=>[4,3,2,6,1,7,5]=>[5,3,2,1,7,4,6] {{1,4,5},{2,3,6,7}}=>[4,3,6,5,1,7,2]=>[4,3,6,5,1,7,2]=>[5,7,2,1,4,3,6] {{1,4,5},{2,3,6},{7}}=>[4,3,6,5,1,2,7]=>[4,6,7,3,1,5,2]=>[5,7,4,1,6,2,3] {{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5] {{1,4,5},{2,3,7},{6}}=>[4,3,7,5,1,6,2]=>[4,3,7,5,1,6,2]=>[5,7,2,1,4,6,3] {{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6]=>[4,3,7,5,6,2,1]=>[7,6,2,1,4,5,3] {{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5] {{1,4,6,7},{2,3,5}}=>[4,3,5,6,2,7,1]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6] {{1,4,6},{2,3,5,7}}=>[4,3,5,6,7,1,2]=>[4,5,1,3,6,7,2]=>[3,7,4,1,2,5,6] {{1,4,6},{2,3,5},{7}}=>[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6] {{1,4,7},{2,3,5,6}}=>[4,3,5,7,6,2,1]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6] {{1,4},{2,3,5,6,7}}=>[4,3,5,1,6,7,2]=>[4,1,5,6,3,7,2]=>[2,7,5,1,3,4,6] {{1,4},{2,3,5,6},{7}}=>[4,3,5,1,6,2,7]=>[4,5,1,6,3,7,2]=>[3,7,5,1,2,4,6] {{1,4,7},{2,3,5},{6}}=>[4,3,5,7,2,6,1]=>[4,3,7,2,5,6,1]=>[7,4,2,1,5,6,3] {{1,4},{2,3,5,7},{6}}=>[4,3,5,1,7,6,2]=>[4,3,1,7,5,6,2]=>[3,7,2,1,5,6,4] {{1,4},{2,3,5},{6,7}}=>[4,3,5,1,2,7,6]=>[4,1,5,7,3,6,2]=>[2,7,5,1,3,6,4] {{1,4},{2,3,5},{6},{7}}=>[4,3,5,1,2,6,7]=>[4,5,6,7,1,3,2]=>[5,7,6,1,2,3,4] {{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1]=>[4,3,6,2,7,5,1]=>[7,4,2,1,6,3,5] {{1,4,6},{2,3,7},{5}}=>[4,3,7,6,5,1,2]=>[4,7,6,3,1,5,2]=>[5,7,4,1,6,3,2] {{1,4,6},{2,3},{5,7}}=>[4,3,2,6,7,1,5]=>[4,6,3,5,7,2,1]=>[7,6,3,1,4,2,5] {{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7]=>[4,6,3,2,7,5,1]=>[7,4,3,1,6,2,5] {{1,4,7},{2,3,6},{5}}=>[4,3,6,7,5,2,1]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6] {{1,4},{2,3,6,7},{5}}=>[4,3,6,1,5,7,2]=>[4,3,6,7,1,5,2]=>[5,7,2,1,6,3,4] {{1,4},{2,3,6},{5,7}}=>[4,3,6,1,7,2,5]=>[4,6,1,7,3,5,2]=>[3,7,5,1,6,2,4] {{1,4},{2,3,6},{5},{7}}=>[4,3,6,1,5,2,7]=>[4,6,3,7,1,5,2]=>[5,7,3,1,6,2,4] {{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5] {{1,4},{2,3,7},{5,6}}=>[4,3,7,1,6,5,2]=>[7,4,3,6,1,5,2]=>[5,7,3,2,6,4,1] {{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5]=>[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4] {{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7]=>[4,6,3,7,5,2,1]=>[7,6,3,1,5,2,4] {{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1]=>[4,3,5,2,7,6,1]=>[7,4,2,1,3,6,5] {{1,4},{2,3,7},{5},{6}}=>[4,3,7,1,5,6,2]=>[4,3,5,7,1,6,2]=>[5,7,2,1,3,6,4] {{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4] {{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6]=>[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4] {{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4] {{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1]=>[5,3,4,6,2,7,1]=>[7,5,2,3,1,4,6] {{1,5,6},{2,3,4,7}}=>[5,3,4,7,6,1,2]=>[5,7,3,1,4,6,2]=>[4,7,3,5,1,6,2] {{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[7,5,1,3,2,4,6] {{1,5,7},{2,3,4,6}}=>[5,3,4,6,7,2,1]=>[5,3,2,4,6,7,1]=>[7,3,2,4,1,5,6] {{1,5},{2,3,4,6,7}}=>[5,3,4,6,1,7,2]=>[3,1,5,4,6,7,2]=>[2,7,1,4,3,5,6] {{1,5},{2,3,4,6},{7}}=>[5,3,4,6,1,2,7]=>[3,5,6,1,4,7,2]=>[4,7,1,5,2,3,6] {{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1]=>[5,3,2,7,4,6,1]=>[7,3,2,5,1,6,4] {{1,5},{2,3,4,7},{6}}=>[5,3,4,7,1,6,2]=>[5,3,7,1,4,6,2]=>[4,7,2,5,1,6,3] {{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6]=>[5,3,7,4,2,6,1]=>[7,5,2,4,1,6,3] {{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7]=>[3,5,6,4,2,7,1]=>[7,5,1,4,2,3,6] {{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1]=>[6,3,4,2,5,7,1]=>[7,4,2,3,5,1,6] {{1,6},{2,3,4,5,7}}=>[6,3,4,5,7,1,2]=>[3,6,1,4,5,7,2]=>[3,7,1,4,5,2,6] {{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7]=>[3,6,4,2,5,7,1]=>[7,4,1,3,5,2,6] {{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1]=>[7,3,2,4,5,6,1]=>[7,3,2,4,5,6,1] {{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7] {{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] {{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1]=>[7,3,4,2,5,6,1]=>[7,4,2,3,5,6,1] {{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1] {{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6]=>[3,1,7,2,4,5,6]=>[2,4,1,5,6,7,3] {{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7] {{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1]=>[6,3,4,5,2,7,1]=>[7,5,2,3,4,1,6] {{1,6},{2,3,4,7},{5}}=>[6,3,4,7,5,1,2]=>[6,7,3,1,4,5,2]=>[4,7,3,5,6,1,2] {{1,6},{2,3,4},{5,7}}=>[6,3,4,2,7,1,5]=>[6,7,3,4,2,5,1]=>[7,5,3,4,6,1,2] {{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7]=>[3,6,4,5,2,7,1]=>[7,5,1,3,4,2,6] {{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1]=>[7,6,3,2,4,5,1]=>[7,4,3,5,6,2,1] {{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2]=>[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7] {{1},{2,3,4,6},{5,7}}=>[1,3,4,6,7,2,5]=>[3,6,1,2,4,5,7]=>[3,4,1,5,6,2,7] {{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7]=>[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7] {{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1]=>[7,3,2,6,4,5,1]=>[7,3,2,5,6,4,1] {{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2]=>[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1] {{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5]=>[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7] {{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7] {{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1]=>[7,3,4,5,2,6,1]=>[7,5,2,3,4,6,1] {{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2]=>[7,1,3,2,4,5,6]=>[2,4,3,5,6,7,1] {{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5]=>[7,3,1,6,2,4,5]=>[3,5,2,6,7,4,1] {{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6]=>[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4] {{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7] {{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1]=>[5,3,4,6,7,2,1]=>[7,6,2,3,1,4,5] {{1,5,6},{2,3,7},{4}}=>[5,3,7,4,6,1,2]=>[5,7,3,4,1,6,2]=>[5,7,3,4,1,6,2] {{1,5,6},{2,3},{4,7}}=>[5,3,2,7,6,1,4]=>[5,7,3,2,6,4,1]=>[7,4,3,6,1,5,2] {{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7]=>[3,5,4,6,7,2,1]=>[7,6,1,3,2,4,5] {{1,5,7},{2,3,6},{4}}=>[5,3,6,4,7,2,1]=>[5,3,2,6,1,7,4]=>[5,3,2,7,1,4,6] {{1,5},{2,3,6,7},{4}}=>[5,3,6,4,1,7,2]=>[5,3,6,4,1,7,2]=>[5,7,2,4,1,3,6] {{1,5},{2,3,6},{4,7}}=>[5,3,6,7,1,2,4]=>[5,6,7,1,3,4,2]=>[4,7,5,6,1,2,3] {{1,5},{2,3,6},{4},{7}}=>[5,3,6,4,1,2,7]=>[5,6,7,3,1,4,2]=>[5,7,4,6,1,2,3] {{1,5,7},{2,3},{4,6}}=>[5,3,2,6,7,4,1]=>[5,3,2,6,7,4,1]=>[7,3,2,6,1,4,5] {{1,5},{2,3,7},{4,6}}=>[5,3,7,6,1,4,2]=>[7,5,6,3,1,4,2]=>[5,7,4,6,2,3,1] {{1,5},{2,3},{4,6,7}}=>[5,3,2,6,1,7,4]=>[5,3,6,4,7,2,1]=>[7,6,2,4,1,3,5] {{1,5},{2,3},{4,6},{7}}=>[5,3,2,6,1,4,7]=>[5,6,7,3,4,2,1]=>[7,6,4,5,1,2,3] {{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1]=>[5,3,2,4,7,6,1]=>[7,3,2,4,1,6,5] {{1,5},{2,3,7},{4},{6}}=>[5,3,7,4,1,6,2]=>[5,3,7,4,1,6,2]=>[5,7,2,4,1,6,3] {{1,5},{2,3},{4,7},{6}}=>[5,3,2,7,1,6,4]=>[5,3,7,2,6,4,1]=>[7,4,2,6,1,5,3] {{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6]=>[5,3,7,4,6,2,1]=>[7,6,2,4,1,5,3] {{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[7,6,1,4,2,3,5] {{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>[7,5,2,4,3,1,6] {{1,6},{2,3,5,7},{4}}=>[6,3,5,4,7,1,2]=>[3,6,1,5,4,7,2]=>[3,7,1,5,4,2,6] {{1,6},{2,3,5},{4,7}}=>[6,3,5,7,2,1,4]=>[3,6,5,2,4,7,1]=>[7,4,1,5,3,2,6] {{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7]=>[3,6,5,4,2,7,1]=>[7,5,1,4,3,2,6] {{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1]=>[7,5,3,4,2,6,1]=>[7,5,3,4,2,6,1] {{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2]=>[5,1,3,4,2,6,7]=>[2,5,3,4,1,6,7] {{1},{2,3,5,6},{4,7}}=>[1,3,5,7,6,2,4]=>[3,7,5,1,2,4,6]=>[4,5,1,6,3,7,2] {{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7]=>[1,5,3,4,2,6,7]=>[1,5,3,4,2,6,7] {{1,7},{2,3,5},{4,6}}=>[7,3,5,6,2,4,1]=>[7,3,5,2,4,6,1]=>[7,4,2,5,3,6,1] {{1},{2,3,5,7},{4,6}}=>[1,3,5,6,7,4,2]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7] {{1},{2,3,5},{4,6,7}}=>[1,3,5,6,2,7,4]=>[3,1,5,2,4,6,7]=>[2,4,1,5,3,6,7] {{1},{2,3,5},{4,6},{7}}=>[1,3,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>[1,4,2,5,3,6,7] {{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1]=>[7,3,5,4,2,6,1]=>[7,5,2,4,3,6,1] {{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2]=>[5,3,1,7,2,4,6]=>[3,5,2,6,1,7,4] {{1},{2,3,5},{4,7},{6}}=>[1,3,5,7,2,6,4]=>[7,3,5,1,2,4,6]=>[4,5,2,6,3,7,1] {{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6]=>[5,1,7,3,2,4,6]=>[2,5,4,6,1,7,3] {{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6,7]=>[1,5,2,4,3,6,7] {{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1]=>[6,3,5,2,7,4,1]=>[7,4,2,6,3,1,5] {{1,6},{2,3,7},{4,5}}=>[6,3,7,5,4,1,2]=>[6,7,5,3,1,4,2]=>[5,7,4,6,3,1,2] {{1,6},{2,3},{4,5,7}}=>[6,3,2,5,7,1,4]=>[3,6,2,5,7,4,1]=>[7,3,1,6,4,2,5] {{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7]=>[3,6,5,2,7,4,1]=>[7,4,1,6,3,2,5] {{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1]=>[7,6,5,3,2,4,1]=>[7,5,4,6,3,2,1] {{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2]=>[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7] {{1},{2,3,6},{4,5,7}}=>[1,3,6,5,7,2,4]=>[3,6,1,5,2,4,7]=>[3,5,1,6,4,2,7] {{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7]=>[1,6,5,3,2,4,7]=>[1,5,4,6,3,2,7] {{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>[7,3,2,6,4,5,1] {{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[3,5,4,6,2,7,1] {{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4]=>[3,1,2,5,6,4,7]=>[2,3,1,6,4,5,7] {{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7] {{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1]=>[7,3,5,2,6,4,1]=>[7,4,2,6,3,5,1] {{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2]=>[7,1,5,3,2,4,6]=>[2,5,4,6,3,7,1] {{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4]=>[7,3,1,2,5,4,6]=>[3,4,2,6,5,7,1] {{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6]=>[3,1,5,2,7,4,6]=>[2,4,1,6,3,7,5] {{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7]=>[1,3,5,2,6,4,7]=>[1,4,2,6,3,5,7] {{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1]=>[6,3,4,5,7,2,1]=>[7,6,2,3,4,1,5] {{1,6},{2,3,7},{4},{5}}=>[6,3,7,4,5,1,2]=>[6,7,3,4,1,5,2]=>[5,7,3,4,6,1,2] {{1,6},{2,3},{4,7},{5}}=>[6,3,2,7,5,1,4]=>[6,7,3,2,5,4,1]=>[7,4,3,6,5,1,2] {{1,6},{2,3},{4},{5,7}}=>[6,3,2,4,7,1,5]=>[6,7,3,4,5,2,1]=>[7,6,3,4,5,1,2] {{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7]=>[3,6,4,5,7,2,1]=>[7,6,1,3,4,2,5] {{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1]=>[7,6,3,4,2,5,1]=>[7,5,3,4,6,2,1] {{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2]=>[6,1,3,4,2,5,7]=>[2,5,3,4,6,1,7] {{1},{2,3,6},{4,7},{5}}=>[1,3,6,7,5,2,4]=>[3,6,5,1,2,4,7]=>[4,5,1,6,3,2,7] {{1},{2,3,6},{4},{5,7}}=>[1,3,6,4,7,2,5]=>[6,7,1,3,2,4,5]=>[3,5,4,6,7,1,2] {{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7]=>[1,6,3,4,2,5,7]=>[1,5,3,4,6,2,7] {{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1]=>[7,6,3,2,5,4,1]=>[7,4,3,6,5,2,1] {{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2]=>[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1] {{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4]=>[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7] {{1},{2,3},{4,6},{5,7}}=>[1,3,2,6,7,4,5]=>[3,6,1,2,7,4,5]=>[3,4,1,6,7,2,5] {{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7] {{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>[7,3,2,4,6,5,1] {{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2]=>[7,6,1,3,2,4,5]=>[3,5,4,6,7,2,1] {{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4]=>[7,6,3,1,5,2,4]=>[4,6,3,7,5,2,1] {{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5]=>[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7] {{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] {{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1]=>[7,3,4,5,6,2,1]=>[7,6,2,3,4,5,1] {{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2]=>[7,1,3,4,2,5,6]=>[2,5,3,4,6,7,1] {{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4]=>[7,1,3,2,5,4,6]=>[2,4,3,6,5,7,1] {{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5]=>[7,3,1,2,6,4,5]=>[3,4,2,6,7,5,1] {{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6]=>[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5] {{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7] {{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[7,2,3,1,4,5,6] {{1,4,5,6},{2,7},{3}}=>[4,7,3,5,6,1,2]=>[4,7,3,5,6,1,2]=>[6,7,3,1,4,5,2] {{1,4,5,6},{2},{3,7}}=>[4,2,7,5,6,1,3]=>[4,7,2,5,1,6,3]=>[5,3,7,1,4,6,2] {{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7]=>[2,4,3,5,6,7,1]=>[7,1,3,2,4,5,6] {{1,4,5,7},{2,6},{3}}=>[4,6,3,5,7,2,1]=>[4,3,2,6,7,1,5]=>[6,3,2,1,7,4,5] {{1,4,5},{2,6,7},{3}}=>[4,6,3,5,1,7,2]=>[4,3,6,5,7,1,2]=>[6,7,2,1,4,3,5] {{1,4,5},{2,6},{3,7}}=>[4,6,7,5,1,2,3]=>[4,6,7,5,1,2,3]=>[5,6,7,1,4,2,3] {{1,4,5},{2,6},{3},{7}}=>[4,6,3,5,1,2,7]=>[4,6,7,3,5,1,2]=>[6,7,4,1,5,2,3] {{1,4,5,7},{2},{3,6}}=>[4,2,6,5,7,3,1]=>[6,4,2,5,1,7,3]=>[5,3,7,2,4,1,6] {{1,4,5},{2,7},{3,6}}=>[4,7,6,5,1,3,2]=>[7,4,6,5,3,1,2]=>[6,7,5,2,4,3,1] {{1,4,5},{2},{3,6,7}}=>[4,2,6,5,1,7,3]=>[4,2,6,5,1,7,3]=>[5,2,7,1,4,3,6] {{1,4,5},{2},{3,6},{7}}=>[4,2,6,5,1,3,7]=>[4,6,7,2,1,5,3]=>[5,4,7,1,6,2,3] {{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1]=>[4,2,1,3,5,7,6]=>[3,2,4,1,5,7,6] {{1,4,5},{2,7},{3},{6}}=>[4,7,3,5,1,6,2]=>[4,3,7,5,6,1,2]=>[6,7,2,1,4,5,3] {{1,4,5},{2},{3,7},{6}}=>[4,2,7,5,1,6,3]=>[4,2,7,5,1,6,3]=>[5,2,7,1,4,6,3] {{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6]=>[4,2,7,3,5,6,1]=>[7,2,4,1,5,6,3] {{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7]=>[2,4,5,3,6,7,1]=>[7,1,4,2,3,5,6] {{1,4,6,7},{2,5},{3}}=>[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7] {{1,4,6},{2,5,7},{3}}=>[4,5,3,6,7,1,2]=>[4,5,1,3,6,2,7]=>[3,6,4,1,2,5,7] {{1,4,6},{2,5},{3,7}}=>[4,5,7,6,2,1,3]=>[4,7,5,2,1,3,6]=>[5,4,6,1,3,7,2] {{1,4,6},{2,5},{3},{7}}=>[4,5,3,6,2,1,7]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7] {{1,4,7},{2,5,6},{3}}=>[4,5,3,7,6,2,1]=>[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5] {{1,4},{2,5,6,7},{3}}=>[4,5,3,1,6,7,2]=>[4,1,5,6,3,2,7]=>[2,6,5,1,3,4,7] {{1,4},{2,5,6},{3,7}}=>[4,5,7,1,6,2,3]=>[4,7,5,6,1,2,3]=>[5,6,7,1,3,4,2] {{1,4},{2,5,6},{3},{7}}=>[4,5,3,1,6,2,7]=>[4,5,1,6,3,2,7]=>[3,6,5,1,2,4,7] {{1,4,7},{2,5},{3,6}}=>[4,5,6,7,2,3,1]=>[4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7] {{1,4},{2,5,7},{3,6}}=>[4,5,6,1,7,3,2]=>[4,3,1,5,2,6,7]=>[3,5,2,1,4,6,7] {{1,4},{2,5},{3,6,7}}=>[4,5,6,1,2,7,3]=>[4,1,5,6,2,3,7]=>[2,5,6,1,3,4,7] {{1,4},{2,5},{3,6},{7}}=>[4,5,6,1,2,3,7]=>[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4] {{1,4,7},{2,5},{3},{6}}=>[4,5,3,7,2,6,1]=>[4,3,7,2,5,1,6]=>[6,4,2,1,5,7,3] {{1,4},{2,5,7},{3},{6}}=>[4,5,3,1,7,6,2]=>[4,3,1,7,5,2,6]=>[3,6,2,1,5,7,4] {{1,4},{2,5},{3,7},{6}}=>[4,5,7,1,2,6,3]=>[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1] {{1,4},{2,5},{3},{6,7}}=>[4,5,3,1,2,7,6]=>[4,1,5,7,3,2,6]=>[2,6,5,1,3,7,4] {{1,4},{2,5},{3},{6},{7}}=>[4,5,3,1,2,6,7]=>[4,5,6,7,3,1,2]=>[6,7,5,1,2,3,4] {{1,4,6,7},{2},{3,5}}=>[4,2,5,6,3,7,1]=>[4,2,5,1,6,7,3]=>[4,2,7,1,3,5,6] {{1,4,6},{2,7},{3,5}}=>[4,7,5,6,3,1,2]=>[4,7,5,1,3,2,6]=>[4,6,5,1,3,7,2] {{1,4,6},{2},{3,5,7}}=>[4,2,5,6,7,1,3]=>[4,5,2,3,6,7,1]=>[7,3,4,1,2,5,6] {{1,4,6},{2},{3,5},{7}}=>[4,2,5,6,3,1,7]=>[4,5,2,1,6,7,3]=>[4,3,7,1,2,5,6] {{1,4,7},{2,6},{3,5}}=>[4,6,5,7,3,2,1]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1,7] {{1,4},{2,6,7},{3,5}}=>[4,6,5,1,3,7,2]=>[6,4,5,7,3,1,2]=>[6,7,5,2,3,1,4] {{1,4},{2,6},{3,5,7}}=>[4,6,5,1,7,2,3]=>[4,6,1,7,5,2,3]=>[3,6,7,1,5,2,4] {{1,4},{2,6},{3,5},{7}}=>[4,6,5,1,3,2,7]=>[4,6,5,7,3,1,2]=>[6,7,5,1,3,2,4] {{1,4,7},{2},{3,5,6}}=>[4,2,5,7,6,3,1]=>[7,4,2,1,5,6,3]=>[4,3,7,2,5,6,1] {{1,4},{2,7},{3,5,6}}=>[4,7,5,1,6,3,2]=>[7,4,1,5,3,2,6]=>[3,6,5,2,4,7,1] {{1,4},{2},{3,5,6,7}}=>[4,2,5,1,6,7,3]=>[4,2,5,6,3,7,1]=>[7,2,5,1,3,4,6] {{1,4},{2},{3,5,6},{7}}=>[4,2,5,1,6,3,7]=>[4,5,2,6,3,7,1]=>[7,3,5,1,2,4,6] {{1,4,7},{2},{3,5},{6}}=>[4,2,5,7,3,6,1]=>[4,2,5,1,3,7,6]=>[4,2,5,1,3,7,6] {{1,4},{2,7},{3,5},{6}}=>[4,7,5,1,3,6,2]=>[7,4,5,6,3,1,2]=>[6,7,5,2,3,4,1] {{1,4},{2},{3,5,7},{6}}=>[4,2,5,1,7,6,3]=>[4,2,1,7,5,6,3]=>[3,2,7,1,5,6,4] {{1,4},{2},{3,5},{6,7}}=>[4,2,5,1,3,7,6]=>[4,2,5,7,3,6,1]=>[7,2,5,1,3,6,4] {{1,4},{2},{3,5},{6},{7}}=>[4,2,5,1,3,6,7]=>[4,5,6,7,2,3,1]=>[7,5,6,1,2,3,4] {{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1]=>[4,2,3,1,6,7,5]=>[4,2,3,1,7,5,6] {{1,4,6},{2,7},{3},{5}}=>[4,7,3,6,5,1,2]=>[4,7,6,3,5,1,2]=>[6,7,4,1,5,3,2] {{1,4,6},{2},{3,7},{5}}=>[4,2,7,6,5,1,3]=>[4,7,6,2,1,5,3]=>[5,4,7,1,6,3,2] {{1,4,6},{2},{3},{5,7}}=>[4,2,3,6,7,1,5]=>[4,6,2,3,5,7,1]=>[7,3,4,1,5,2,6] {{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7]=>[2,4,3,1,6,7,5]=>[4,1,3,2,7,5,6] {{1,4,7},{2,6},{3},{5}}=>[4,6,3,7,5,2,1]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7] {{1,4},{2,6,7},{3},{5}}=>[4,6,3,1,5,7,2]=>[4,3,6,7,5,1,2]=>[6,7,2,1,5,3,4] {{1,4},{2,6},{3,7},{5}}=>[4,6,7,1,5,2,3]=>[4,6,5,7,1,2,3]=>[5,6,7,1,3,2,4] {{1,4},{2,6},{3},{5,7}}=>[4,6,3,1,7,2,5]=>[4,6,1,7,3,2,5]=>[3,6,5,1,7,2,4] {{1,4},{2,6},{3},{5},{7}}=>[4,6,3,1,5,2,7]=>[4,6,3,7,5,1,2]=>[6,7,3,1,5,2,4] {{1,4,7},{2},{3,6},{5}}=>[4,2,6,7,5,3,1]=>[6,4,2,1,5,7,3]=>[4,3,7,2,5,1,6] {{1,4},{2,7},{3,6},{5}}=>[4,7,6,1,5,3,2]=>[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1] {{1,4},{2},{3,6,7},{5}}=>[4,2,6,1,5,7,3]=>[4,2,6,7,1,5,3]=>[5,2,7,1,6,3,4] {{1,4},{2},{3,6},{5,7}}=>[4,2,6,1,7,3,5]=>[4,6,2,7,3,5,1]=>[7,3,5,1,6,2,4] {{1,4},{2},{3,6},{5},{7}}=>[4,2,6,1,5,3,7]=>[4,6,2,7,1,5,3]=>[5,3,7,1,6,2,4] {{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1]=>[7,4,2,1,3,6,5]=>[4,3,5,2,7,6,1] {{1,4},{2,7},{3},{5,6}}=>[4,7,3,1,6,5,2]=>[7,4,3,6,5,1,2]=>[6,7,3,2,5,4,1] {{1,4},{2},{3,7},{5,6}}=>[4,2,7,1,6,5,3]=>[7,4,2,6,1,5,3]=>[5,3,7,2,6,4,1] {{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5]=>[4,2,3,6,5,7,1]=>[7,2,3,1,5,4,6] {{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7]=>[2,4,3,6,5,7,1]=>[7,1,3,2,5,4,6] {{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1]=>[4,2,3,1,5,7,6]=>[4,2,3,1,5,7,6] {{1,4},{2,7},{3},{5},{6}}=>[4,7,3,1,5,6,2]=>[4,3,5,7,6,1,2]=>[6,7,2,1,3,5,4] {{1,4},{2},{3,7},{5},{6}}=>[4,2,7,1,5,6,3]=>[4,2,5,7,1,6,3]=>[5,2,7,1,3,6,4] {{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5]=>[4,2,1,7,3,6,5]=>[3,2,5,1,7,6,4] {{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6]=>[4,2,3,7,5,6,1]=>[7,2,3,1,5,6,4] {{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7]=>[2,4,5,6,3,7,1]=>[7,1,5,2,3,4,6] {{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4] {{1,5,6},{2,4,7},{3}}=>[5,4,3,7,6,1,2]=>[5,7,4,1,6,3,2]=>[4,7,6,3,1,5,2] {{1,5,6},{2,4},{3,7}}=>[5,4,7,2,6,1,3]=>[5,7,4,6,2,3,1]=>[7,5,6,3,1,4,2] {{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4] {{1,5,7},{2,4,6},{3}}=>[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5] {{1,5},{2,4,6,7},{3}}=>[5,4,3,6,1,7,2]=>[5,1,6,4,7,3,2]=>[2,7,6,4,1,3,5] {{1,5},{2,4,6},{3,7}}=>[5,4,7,6,1,2,3]=>[1,5,7,4,2,6,3]=>[1,5,7,4,2,6,3] {{1,5},{2,4,6},{3},{7}}=>[5,4,3,6,1,2,7]=>[5,6,7,1,4,3,2]=>[4,7,6,5,1,2,3] {{1,5,7},{2,4},{3,6}}=>[5,4,6,2,7,3,1]=>[5,4,2,6,3,7,1]=>[7,3,5,2,1,4,6] {{1,5},{2,4,7},{3,6}}=>[5,4,6,7,1,3,2]=>[5,4,6,1,3,7,2]=>[4,7,5,2,1,3,6] {{1,5},{2,4},{3,6,7}}=>[5,4,6,2,1,7,3]=>[5,2,6,4,3,7,1]=>[7,2,5,4,1,3,6] {{1,5},{2,4},{3,6},{7}}=>[5,4,6,2,1,3,7]=>[5,6,7,4,2,3,1]=>[7,5,6,4,1,2,3] {{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1]=>[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4] {{1,5},{2,4,7},{3},{6}}=>[5,4,3,7,1,6,2]=>[5,4,7,1,6,3,2]=>[4,7,6,2,1,5,3] {{1,5},{2,4},{3,7},{6}}=>[5,4,7,2,1,6,3]=>[5,4,7,6,2,3,1]=>[7,5,6,2,1,4,3] {{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3] {{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3] {{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1]=>[6,4,5,3,7,2,1]=>[7,6,4,2,3,1,5] {{1,6},{2,4,5,7},{3}}=>[6,4,3,5,7,1,2]=>[4,6,1,5,7,3,2]=>[3,7,6,1,4,2,5] {{1,6},{2,4,5},{3,7}}=>[6,4,7,5,2,1,3]=>[6,7,4,2,1,5,3]=>[5,4,7,3,6,1,2] {{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7]=>[4,6,5,3,7,2,1]=>[7,6,4,1,3,2,5] {{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1]=>[7,4,3,5,6,2,1]=>[7,6,3,2,4,5,1] {{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2]=>[4,1,3,5,6,2,7]=>[2,6,3,1,4,5,7] {{1},{2,4,5,6},{3,7}}=>[1,4,7,5,6,2,3]=>[4,7,1,5,2,3,6]=>[3,5,6,1,4,7,2] {{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2,7]=>[1,6,3,2,4,5,7] {{1,7},{2,4,5},{3,6}}=>[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>[7,5,6,2,4,3,1] {{1},{2,4,5,7},{3,6}}=>[1,4,6,5,7,3,2]=>[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7] {{1},{2,4,5},{3,6,7}}=>[1,4,6,5,2,7,3]=>[4,1,6,5,2,3,7]=>[2,5,6,1,4,3,7] {{1},{2,4,5},{3,6},{7}}=>[1,4,6,5,2,3,7]=>[1,4,6,5,2,3,7]=>[1,5,6,2,4,3,7] {{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1]=>[7,4,5,3,6,2,1]=>[7,6,4,2,3,5,1] {{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2]=>[4,3,1,2,7,5,6]=>[3,4,2,1,6,7,5] {{1},{2,4,5},{3,7},{6}}=>[1,4,7,5,2,6,3]=>[4,1,7,5,2,3,6]=>[2,5,6,1,4,7,3] {{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6]=>[4,1,7,3,5,2,6]=>[2,6,4,1,5,7,3] {{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7]=>[1,4,5,3,6,2,7]=>[1,6,4,2,3,5,7] {{1,6,7},{2,4},{3,5}}=>[6,4,5,2,3,7,1]=>[6,4,5,7,2,3,1]=>[7,5,6,2,3,1,4] {{1,6},{2,4,7},{3,5}}=>[6,4,5,7,3,1,2]=>[4,6,5,1,3,7,2]=>[4,7,5,1,3,2,6] {{1,6},{2,4},{3,5,7}}=>[6,4,5,2,7,1,3]=>[4,6,2,5,3,7,1]=>[7,3,5,1,4,2,6] {{1,6},{2,4},{3,5},{7}}=>[6,4,5,2,3,1,7]=>[4,6,5,7,2,3,1]=>[7,5,6,1,3,2,4] {{1,7},{2,4,6},{3,5}}=>[7,4,5,6,3,2,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,5,6,1] {{1},{2,4,6,7},{3,5}}=>[1,4,5,6,3,7,2]=>[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7] {{1},{2,4,6},{3,5,7}}=>[1,4,5,6,7,2,3]=>[4,5,1,2,3,6,7]=>[3,4,5,1,2,6,7] {{1},{2,4,6},{3,5},{7}}=>[1,4,5,6,3,2,7]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7] {{1,7},{2,4},{3,5,6}}=>[7,4,5,2,6,3,1]=>[7,4,2,5,3,6,1]=>[7,3,5,2,4,6,1] {{1},{2,4,7},{3,5,6}}=>[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1] {{1},{2,4},{3,5,6,7}}=>[1,4,5,2,6,7,3]=>[4,1,2,5,3,6,7]=>[2,3,5,1,4,6,7] {{1},{2,4},{3,5,6},{7}}=>[1,4,5,2,6,3,7]=>[1,4,2,5,3,6,7]=>[1,3,5,2,4,6,7] {{1,7},{2,4},{3,5},{6}}=>[7,4,5,2,3,6,1]=>[7,4,5,6,2,3,1]=>[7,5,6,2,3,4,1] {{1},{2,4,7},{3,5},{6}}=>[1,4,5,7,3,6,2]=>[4,3,7,1,2,5,6]=>[4,5,2,1,6,7,3] {{1},{2,4},{3,5,7},{6}}=>[1,4,5,2,7,6,3]=>[7,4,1,5,2,3,6]=>[3,5,6,2,4,7,1] {{1},{2,4},{3,5},{6,7}}=>[1,4,5,2,3,7,6]=>[4,1,5,7,2,3,6]=>[2,5,6,1,3,7,4] {{1},{2,4},{3,5},{6},{7}}=>[1,4,5,2,3,6,7]=>[1,4,5,6,2,3,7]=>[1,5,6,2,3,4,7] {{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1]=>[6,4,5,7,3,2,1]=>[7,6,5,2,3,1,4] {{1,6},{2,4,7},{3},{5}}=>[6,4,3,7,5,1,2]=>[6,7,4,1,5,3,2]=>[4,7,6,3,5,1,2] {{1,6},{2,4},{3,7},{5}}=>[6,4,7,2,5,1,3]=>[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2] {{1,6},{2,4},{3},{5,7}}=>[6,4,3,2,7,1,5]=>[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2] {{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7]=>[4,6,5,7,3,2,1]=>[7,6,5,1,3,2,4] {{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1] {{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7] {{1},{2,4,6},{3,7},{5}}=>[1,4,7,6,5,2,3]=>[4,7,6,5,1,2,3]=>[5,6,7,1,4,3,2] {{1},{2,4,6},{3},{5,7}}=>[1,4,3,6,7,2,5]=>[4,6,1,3,5,2,7]=>[3,6,4,1,5,2,7] {{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7] {{1,7},{2,4},{3,6},{5}}=>[7,4,6,2,5,3,1]=>[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1] {{1},{2,4,7},{3,6},{5}}=>[1,4,6,7,5,3,2]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7] {{1},{2,4},{3,6,7},{5}}=>[1,4,6,2,5,7,3]=>[6,1,4,5,2,3,7]=>[2,5,6,3,4,1,7] {{1},{2,4},{3,6},{5,7}}=>[1,4,6,2,7,3,5]=>[4,6,1,7,2,3,5]=>[3,5,6,1,7,2,4] {{1},{2,4},{3,6},{5},{7}}=>[1,4,6,2,5,3,7]=>[1,6,4,5,2,3,7]=>[1,5,6,3,4,2,7] {{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1]=>[7,4,3,6,5,2,1]=>[7,6,3,2,5,4,1] {{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2]=>[7,4,3,1,6,2,5]=>[4,6,3,2,7,5,1] {{1},{2,4},{3,7},{5,6}}=>[1,4,7,2,6,5,3]=>[7,6,4,5,1,2,3]=>[5,6,7,3,4,2,1] {{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5]=>[4,1,3,6,5,2,7]=>[2,6,3,1,5,4,7] {{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7]=>[1,4,3,6,5,2,7]=>[1,6,3,2,5,4,7] {{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1]=>[7,4,5,6,3,2,1]=>[7,6,5,2,3,4,1] {{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2]=>[4,1,3,2,7,5,6]=>[2,4,3,1,6,7,5] {{1},{2,4},{3,7},{5},{6}}=>[1,4,7,2,5,6,3]=>[7,1,4,5,2,3,6]=>[2,5,6,3,4,7,1] {{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5]=>[4,3,1,7,6,2,5]=>[3,6,2,1,7,5,4] {{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6]=>[4,1,3,7,5,2,6]=>[2,6,3,1,5,7,4] {{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7]=>[1,4,5,6,3,2,7]=>[1,6,5,2,3,4,7] {{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1]=>[5,2,4,6,3,7,1]=>[7,2,5,3,1,4,6] {{1,5,6},{2,7},{3,4}}=>[5,7,4,3,6,1,2]=>[5,7,4,6,3,1,2]=>[6,7,5,3,1,4,2] {{1,5,6},{2},{3,4,7}}=>[5,2,4,7,6,1,3]=>[5,7,2,1,4,6,3]=>[4,3,7,5,1,6,2] {{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7]=>[2,5,4,6,3,7,1]=>[7,1,5,3,2,4,6] {{1,5,7},{2,6},{3,4}}=>[5,6,4,3,7,2,1]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7] {{1,5},{2,6,7},{3,4}}=>[5,6,4,3,1,7,2]=>[5,1,6,4,3,2,7]=>[2,6,5,4,1,3,7] {{1,5},{2,6},{3,4,7}}=>[5,6,4,7,1,2,3]=>[5,6,7,1,4,2,3]=>[4,6,7,5,1,2,3] {{1,5},{2,6},{3,4},{7}}=>[5,6,4,3,1,2,7]=>[5,6,7,4,3,1,2]=>[6,7,5,4,1,2,3] {{1,5,7},{2},{3,4,6}}=>[5,2,4,6,7,3,1]=>[5,4,2,3,6,7,1]=>[7,3,4,2,1,5,6] {{1,5},{2,7},{3,4,6}}=>[5,7,4,6,1,3,2]=>[5,4,7,3,6,1,2]=>[6,7,4,2,1,5,3] {{1,5},{2},{3,4,6,7}}=>[5,2,4,6,1,7,3]=>[2,1,5,4,6,7,3]=>[2,1,7,4,3,5,6] {{1,5},{2},{3,4,6},{7}}=>[5,2,4,6,1,3,7]=>[2,5,6,1,4,7,3]=>[4,1,7,5,2,3,6] {{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1]=>[5,4,2,7,3,6,1]=>[7,3,5,2,1,6,4] {{1,5},{2,7},{3,4},{6}}=>[5,7,4,3,1,6,2]=>[5,4,7,6,3,1,2]=>[6,7,5,2,1,4,3] {{1,5},{2},{3,4,7},{6}}=>[5,2,4,7,1,6,3]=>[5,2,7,1,4,6,3]=>[4,2,7,5,1,6,3] {{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6]=>[5,2,7,4,3,6,1]=>[7,2,5,4,1,6,3] {{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7]=>[2,5,6,4,3,7,1]=>[7,1,5,4,2,3,6] {{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3] {{1,6},{2,5,7},{3,4}}=>[6,5,4,3,7,1,2]=>[6,7,1,5,4,3,2]=>[3,7,6,5,4,1,2] {{1,6},{2,5},{3,4,7}}=>[6,5,4,7,2,1,3]=>[6,7,5,2,4,3,1]=>[7,4,6,5,3,1,2] {{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2] {{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1]=>[7,5,4,6,3,2,1]=>[7,6,5,3,2,4,1] {{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2]=>[5,1,4,6,3,2,7]=>[2,6,5,3,1,4,7] {{1},{2,5,6},{3,4,7}}=>[1,5,4,7,6,2,3]=>[5,7,4,1,6,2,3]=>[4,6,7,3,1,5,2] {{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7]=>[1,5,4,6,3,2,7]=>[1,6,5,3,2,4,7] {{1,7},{2,5},{3,4,6}}=>[7,5,4,6,2,3,1]=>[7,5,6,2,4,3,1]=>[7,4,6,5,2,3,1] {{1},{2,5,7},{3,4,6}}=>[1,5,4,6,7,3,2]=>[5,4,1,3,6,2,7]=>[3,6,4,2,1,5,7] {{1},{2,5},{3,4,6,7}}=>[1,5,4,6,2,7,3]=>[5,1,6,2,4,3,7]=>[2,4,6,5,1,3,7] {{1},{2,5},{3,4,6},{7}}=>[1,5,4,6,2,3,7]=>[1,5,6,2,4,3,7]=>[1,4,6,5,2,3,7] {{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1]=>[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1] {{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4] {{1},{2,5},{3,4,7},{6}}=>[1,5,4,7,2,6,3]=>[5,4,7,1,6,2,3]=>[4,6,7,2,1,5,3] {{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3] {{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7]=>[1,5,6,4,3,2,7]=>[1,6,5,4,2,3,7] {{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1]=>[6,2,4,3,5,7,1]=>[7,2,4,3,5,1,6] {{1,6},{2,7},{3,4,5}}=>[6,7,4,5,3,1,2]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2] {{1,6},{2},{3,4,5,7}}=>[6,2,4,5,7,1,3]=>[2,6,1,4,5,7,3]=>[3,1,7,4,5,2,6] {{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[7,1,4,3,5,2,6] {{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1] {{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2]=>[6,1,4,3,5,2,7]=>[2,6,4,3,5,1,7] {{1},{2,6},{3,4,5,7}}=>[1,6,4,5,7,2,3]=>[4,6,1,2,5,3,7]=>[3,4,6,1,5,2,7] {{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7]=>[1,6,4,3,5,2,7]=>[1,6,4,3,5,2,7] {{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1]=>[7,4,2,3,5,6,1]=>[7,3,4,2,5,6,1] {{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2]=>[7,4,1,3,5,2,6]=>[3,6,4,2,5,7,1] {{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7] {{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7] {{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1]=>[7,2,4,3,5,6,1]=>[7,2,4,3,5,6,1] {{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[2,6,4,3,5,7,1] {{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1] {{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6]=>[4,1,7,2,3,5,6]=>[2,4,5,1,6,7,3] {{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] {{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1]=>[6,2,4,5,3,7,1]=>[7,2,5,3,4,1,6] {{1,6},{2,7},{3,4},{5}}=>[6,7,4,3,5,1,2]=>[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2] {{1,6},{2},{3,4,7},{5}}=>[6,2,4,7,5,1,3]=>[6,7,2,1,4,5,3]=>[4,3,7,5,6,1,2] {{1,6},{2},{3,4},{5,7}}=>[6,2,4,3,7,1,5]=>[6,7,2,4,3,5,1]=>[7,3,5,4,6,1,2] {{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[7,1,5,3,4,2,6] {{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1]=>[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1] {{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2]=>[6,1,4,5,3,2,7]=>[2,6,5,3,4,1,7] {{1},{2,6},{3,4,7},{5}}=>[1,6,4,7,5,2,3]=>[6,7,4,1,5,2,3]=>[4,6,7,3,5,1,2] {{1},{2,6},{3,4},{5,7}}=>[1,6,4,3,7,2,5]=>[6,7,1,4,3,2,5]=>[3,6,5,4,7,1,2] {{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7]=>[1,6,4,5,3,2,7]=>[1,6,5,3,4,2,7] {{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1]=>[7,6,4,2,3,5,1]=>[7,4,5,3,6,2,1] {{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2]=>[7,6,4,1,3,2,5]=>[4,6,5,3,7,2,1] {{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3]=>[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7] {{1},{2},{3,4,6},{5,7}}=>[1,2,4,6,7,3,5]=>[4,6,1,2,3,5,7]=>[3,4,5,1,6,2,7] {{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7]=>[1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7] {{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1]=>[7,4,2,6,3,5,1]=>[7,3,5,2,6,4,1] {{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2]=>[7,4,1,6,3,2,5]=>[3,6,5,2,7,4,1] {{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1] {{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5]=>[4,1,2,6,3,5,7]=>[2,3,5,1,6,4,7] {{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7]=>[1,4,2,6,3,5,7]=>[1,3,5,2,6,4,7] {{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1]=>[7,2,4,5,3,6,1]=>[7,2,5,3,4,6,1] {{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[2,6,5,3,4,7,1] {{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3]=>[7,1,4,2,3,5,6]=>[2,4,5,3,6,7,1] {{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5]=>[7,4,1,6,2,3,5]=>[3,5,6,2,7,4,1] {{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6]=>[4,1,2,7,3,5,6]=>[2,3,5,1,6,7,4] {{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7] {{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1]=>[5,2,3,4,6,7,1]=>[7,2,3,4,1,5,6] {{1,5,6},{2,7},{3},{4}}=>[5,7,3,4,6,1,2]=>[5,7,3,4,6,1,2]=>[6,7,3,4,1,5,2] {{1,5,6},{2},{3,7},{4}}=>[5,2,7,4,6,1,3]=>[5,7,2,4,1,6,3]=>[5,3,7,4,1,6,2] {{1,5,6},{2},{3},{4,7}}=>[5,2,3,7,6,1,4]=>[5,7,2,1,3,6,4]=>[4,3,5,7,1,6,2] {{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7]=>[2,5,3,4,6,7,1]=>[7,1,3,4,2,5,6] {{1,5,7},{2,6},{3},{4}}=>[5,6,3,4,7,2,1]=>[5,3,2,6,7,1,4]=>[6,3,2,7,1,4,5] {{1,5},{2,6,7},{3},{4}}=>[5,6,3,4,1,7,2]=>[5,3,6,4,7,1,2]=>[6,7,2,4,1,3,5] {{1,5},{2,6},{3,7},{4}}=>[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3] {{1,5},{2,6},{3},{4,7}}=>[5,6,3,7,1,2,4]=>[5,6,7,1,3,2,4]=>[4,6,5,7,1,2,3] {{1,5},{2,6},{3},{4},{7}}=>[5,6,3,4,1,2,7]=>[5,6,7,3,4,1,2]=>[6,7,4,5,1,2,3] {{1,5,7},{2},{3,6},{4}}=>[5,2,6,4,7,3,1]=>[5,4,2,6,1,7,3]=>[5,3,7,2,1,4,6] {{1,5},{2,7},{3,6},{4}}=>[5,7,6,4,1,3,2]=>[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1] {{1,5},{2},{3,6,7},{4}}=>[5,2,6,4,1,7,3]=>[5,2,6,4,1,7,3]=>[5,2,7,4,1,3,6] {{1,5},{2},{3,6},{4,7}}=>[5,2,6,7,1,3,4]=>[5,6,7,2,3,4,1]=>[7,4,5,6,1,2,3] {{1,5},{2},{3,6},{4},{7}}=>[5,2,6,4,1,3,7]=>[5,6,7,2,1,4,3]=>[5,4,7,6,1,2,3] {{1,5,7},{2},{3},{4,6}}=>[5,2,3,6,7,4,1]=>[5,2,1,3,6,7,4]=>[3,2,4,7,1,5,6] {{1,5},{2,7},{3},{4,6}}=>[5,7,3,6,1,4,2]=>[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1] {{1,5},{2},{3,7},{4,6}}=>[5,2,7,6,1,4,3]=>[7,5,6,2,1,4,3]=>[5,4,7,6,2,3,1] {{1,5},{2},{3},{4,6,7}}=>[5,2,3,6,1,7,4]=>[5,2,6,3,4,7,1]=>[7,2,4,5,1,3,6] {{1,5},{2},{3},{4,6},{7}}=>[5,2,3,6,1,4,7]=>[2,5,6,3,4,7,1]=>[7,1,4,5,2,3,6] {{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1]=>[5,2,1,3,4,7,6]=>[3,2,4,5,1,7,6] {{1,5},{2,7},{3},{4},{6}}=>[5,7,3,4,1,6,2]=>[5,3,7,4,6,1,2]=>[6,7,2,4,1,5,3] {{1,5},{2},{3,7},{4},{6}}=>[5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3] {{1,5},{2},{3},{4,7},{6}}=>[5,2,3,7,1,6,4]=>[5,2,7,1,3,6,4]=>[4,2,5,7,1,6,3] {{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6]=>[5,2,7,3,4,6,1]=>[7,2,4,5,1,6,3] {{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7]=>[2,3,5,4,6,7,1]=>[7,1,2,4,3,5,6] {{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1]=>[6,3,5,4,7,2,1]=>[7,6,2,4,3,1,5] {{1,6},{2,5,7},{3},{4}}=>[6,5,3,4,7,1,2]=>[3,6,1,5,7,4,2]=>[3,7,1,6,4,2,5] {{1,6},{2,5},{3,7},{4}}=>[6,5,7,4,2,1,3]=>[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2] {{1,6},{2,5},{3},{4,7}}=>[6,5,3,7,2,1,4]=>[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2] {{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7]=>[3,6,5,4,7,2,1]=>[7,6,1,4,3,2,5] {{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1]=>[7,5,3,4,6,2,1]=>[7,6,3,4,2,5,1] {{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2]=>[5,1,3,4,6,2,7]=>[2,6,3,4,1,5,7] {{1},{2,5,6},{3,7},{4}}=>[1,5,7,4,6,2,3]=>[5,7,4,6,1,2,3]=>[5,6,7,3,1,4,2] {{1},{2,5,6},{3},{4,7}}=>[1,5,3,7,6,2,4]=>[5,7,3,1,6,2,4]=>[4,6,3,7,1,5,2] {{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7]=>[1,5,3,4,6,2,7]=>[1,6,3,4,2,5,7] {{1,7},{2,5},{3,6},{4}}=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1] {{1},{2,5,7},{3,6},{4}}=>[1,5,6,4,7,3,2]=>[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7] {{1},{2,5},{3,6,7},{4}}=>[1,5,6,4,2,7,3]=>[5,1,6,4,2,3,7]=>[2,5,6,4,1,3,7] {{1},{2,5},{3,6},{4,7}}=>[1,5,6,7,2,3,4]=>[5,6,7,1,2,3,4]=>[4,5,6,7,1,2,3] {{1},{2,5},{3,6},{4},{7}}=>[1,5,6,4,2,3,7]=>[1,5,6,4,2,3,7]=>[1,5,6,4,2,3,7] {{1,7},{2,5},{3},{4,6}}=>[7,5,3,6,2,4,1]=>[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1] {{1},{2,5,7},{3},{4,6}}=>[1,5,3,6,7,4,2]=>[5,3,1,2,6,4,7]=>[3,4,2,6,1,5,7] {{1},{2,5},{3,7},{4,6}}=>[1,5,7,6,2,4,3]=>[7,5,6,4,1,2,3]=>[5,6,7,4,2,3,1] {{1},{2,5},{3},{4,6,7}}=>[1,5,3,6,2,7,4]=>[5,1,6,3,4,2,7]=>[2,6,4,5,1,3,7] {{1},{2,5},{3},{4,6},{7}}=>[1,5,3,6,2,4,7]=>[1,5,6,3,4,2,7]=>[1,6,4,5,2,3,7] {{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1]=>[7,3,5,4,6,2,1]=>[7,6,2,4,3,5,1] {{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2]=>[5,3,1,2,7,4,6]=>[3,4,2,6,1,7,5] {{1},{2,5},{3,7},{4},{6}}=>[1,5,7,4,2,6,3]=>[5,4,7,6,1,2,3]=>[5,6,7,2,1,4,3] {{1},{2,5},{3},{4,7},{6}}=>[1,5,3,7,2,6,4]=>[5,3,7,1,6,2,4]=>[4,6,2,7,1,5,3] {{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6]=>[5,1,7,3,4,2,6]=>[2,6,4,5,1,7,3] {{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7]=>[1,3,5,4,6,2,7]=>[1,6,2,4,3,5,7] {{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1]=>[6,2,5,4,3,7,1]=>[7,2,5,4,3,1,6] {{1,6},{2,7},{3,5},{4}}=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2] {{1,6},{2},{3,5,7},{4}}=>[6,2,5,4,7,1,3]=>[2,6,1,5,4,7,3]=>[3,1,7,5,4,2,6] {{1,6},{2},{3,5},{4,7}}=>[6,2,5,7,3,1,4]=>[6,7,5,2,3,4,1]=>[7,4,5,6,3,1,2] {{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7]=>[2,6,5,4,3,7,1]=>[7,1,5,4,3,2,6] {{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] {{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7] {{1},{2,6},{3,5,7},{4}}=>[1,6,5,4,7,2,3]=>[6,7,1,5,4,2,3]=>[3,6,7,5,4,1,2] {{1},{2,6},{3,5},{4,7}}=>[1,6,5,7,3,2,4]=>[6,7,5,1,3,2,4]=>[4,6,5,7,3,1,2] {{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7] {{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1]=>[7,5,2,4,3,6,1]=>[7,3,5,4,2,6,1] {{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2]=>[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1] {{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3]=>[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7] {{1},{2},{3,5,6},{4,7}}=>[1,2,5,7,6,3,4]=>[5,7,6,1,2,3,4]=>[4,5,6,7,1,3,2] {{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7]=>[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7] {{1,7},{2},{3,5},{4,6}}=>[7,2,5,6,3,4,1]=>[7,5,6,2,3,4,1]=>[7,4,5,6,2,3,1] {{1},{2,7},{3,5},{4,6}}=>[1,7,5,6,3,4,2]=>[7,5,6,1,3,2,4]=>[4,6,5,7,2,3,1] {{1},{2},{3,5,7},{4,6}}=>[1,2,5,6,7,4,3]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7] {{1},{2},{3,5},{4,6,7}}=>[1,2,5,6,3,7,4]=>[5,1,6,2,3,4,7]=>[2,4,5,6,1,3,7] {{1},{2},{3,5},{4,6},{7}}=>[1,2,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[1,4,5,6,2,3,7] {{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1]=>[7,2,5,4,3,6,1]=>[7,2,5,4,3,6,1] {{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2]=>[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1] {{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3]=>[5,4,1,7,2,3,6]=>[3,5,6,2,1,7,4] {{1},{2},{3,5},{4,7},{6}}=>[1,2,5,7,3,6,4]=>[7,5,6,1,2,3,4]=>[4,5,6,7,2,3,1] {{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6]=>[5,1,7,4,2,3,6]=>[2,5,6,4,1,7,3] {{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7] {{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>[7,2,4,5,3,1,6] {{1,6},{2,7},{3},{4,5}}=>[6,7,3,5,4,1,2]=>[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2] {{1,6},{2},{3,7},{4,5}}=>[6,2,7,5,4,1,3]=>[6,7,5,2,1,4,3]=>[5,4,7,6,3,1,2] {{1,6},{2},{3},{4,5,7}}=>[6,2,3,5,7,1,4]=>[2,6,1,3,5,7,4]=>[3,1,4,7,5,2,6] {{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[7,1,4,5,3,2,6] {{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1]=>[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1] {{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2]=>[6,1,5,3,4,2,7]=>[2,6,4,5,3,1,7] {{1},{2,6},{3,7},{4,5}}=>[1,6,7,5,4,2,3]=>[6,7,5,4,1,2,3]=>[5,6,7,4,3,1,2] {{1},{2,6},{3},{4,5,7}}=>[1,6,3,5,7,2,4]=>[3,6,1,2,5,4,7]=>[3,4,1,6,5,2,7] {{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7]=>[1,6,5,3,4,2,7]=>[1,6,4,5,3,2,7] {{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1] {{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1] {{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3]=>[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7] {{1},{2},{3,6},{4,5,7}}=>[1,2,6,5,7,3,4]=>[6,7,1,5,2,3,4]=>[3,5,6,7,4,1,2] {{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7]=>[1,6,5,4,2,3,7]=>[1,5,6,4,3,2,7] {{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1]=>[7,5,2,3,4,6,1]=>[7,3,4,5,2,6,1] {{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2]=>[7,5,1,3,4,2,6]=>[3,6,4,5,2,7,1] {{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3]=>[7,5,1,4,2,3,6]=>[3,5,6,4,2,7,1] {{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7] {{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7] {{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1]=>[7,2,5,3,4,6,1]=>[7,2,4,5,3,6,1] {{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[2,6,4,5,3,7,1] {{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3]=>[7,1,5,4,2,3,6]=>[2,5,6,4,3,7,1] {{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1] {{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6]=>[5,1,7,2,3,4,6]=>[2,4,5,6,1,7,3] {{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7] {{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1]=>[6,2,3,4,5,7,1]=>[7,2,3,4,5,1,6] {{1,6},{2,7},{3},{4},{5}}=>[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2] {{1,6},{2},{3,7},{4},{5}}=>[6,2,7,4,5,1,3]=>[6,7,2,4,1,5,3]=>[5,3,7,4,6,1,2] {{1,6},{2},{3},{4,7},{5}}=>[6,2,3,7,5,1,4]=>[6,7,2,1,3,5,4]=>[4,3,5,7,6,1,2] {{1,6},{2},{3},{4},{5,7}}=>[6,2,3,4,7,1,5]=>[6,7,2,3,4,5,1]=>[7,3,4,5,6,1,2] {{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7]=>[2,6,3,4,5,7,1]=>[7,1,3,4,5,2,6] {{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1] {{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2]=>[6,1,3,4,5,2,7]=>[2,6,3,4,5,1,7] {{1},{2,6},{3,7},{4},{5}}=>[1,6,7,4,5,2,3]=>[6,7,4,5,1,2,3]=>[5,6,7,3,4,1,2] {{1},{2,6},{3},{4,7},{5}}=>[1,6,3,7,5,2,4]=>[6,7,3,1,5,2,4]=>[4,6,3,7,5,1,2] {{1},{2,6},{3},{4},{5,7}}=>[1,6,3,4,7,2,5]=>[6,7,1,3,4,2,5]=>[3,6,4,5,7,1,2] {{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7]=>[1,6,3,4,5,2,7]=>[1,6,3,4,5,2,7] {{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1]=>[7,6,2,4,3,5,1]=>[7,3,5,4,6,2,1] {{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2]=>[7,6,1,4,3,2,5]=>[3,6,5,4,7,2,1] {{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3]=>[6,1,2,4,3,5,7]=>[2,3,5,4,6,1,7] {{1},{2},{3,6},{4,7},{5}}=>[1,2,6,7,5,3,4]=>[6,7,5,1,2,3,4]=>[4,5,6,7,3,1,2] {{1},{2},{3,6},{4},{5,7}}=>[1,2,6,4,7,3,5]=>[6,7,1,4,2,3,5]=>[3,5,6,4,7,1,2] {{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7]=>[1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7] {{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1]=>[7,6,5,2,3,4,1]=>[7,4,5,6,3,2,1] {{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2]=>[7,6,5,1,3,2,4]=>[4,6,5,7,3,2,1] {{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1] {{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4]=>[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7] {{1},{2},{3},{4,6},{5,7}}=>[1,2,3,6,7,4,5]=>[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2] {{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7]=>[1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7] {{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1]=>[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1] {{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2]=>[7,6,1,3,4,2,5]=>[3,6,4,5,7,2,1] {{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[3,5,6,4,7,2,1] {{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1] {{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7] {{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7] {{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1] {{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2]=>[7,1,3,4,5,2,6]=>[2,6,3,4,5,7,1] {{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3]=>[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1] {{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4]=>[7,1,5,2,3,4,6]=>[2,4,5,6,3,7,1] {{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1] {{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1] {{1},{2},{3},{4},{5},{6},{7}}=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] {{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] {{1,3},{2,4},{5,6},{7,8}}=>[3,4,1,2,6,5,8,7]=>[3,1,4,2,6,8,5,7]=>[2,4,1,3,7,5,8,6] {{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7]=>[4,3,6,5,8,7,2,1]=>[8,7,2,1,4,3,6,5] {{1,5},{2,3},{4,6},{7,8}}=>[5,3,2,6,1,4,8,7]=>[5,3,6,8,4,7,2,1]=>[8,7,2,5,1,3,6,4] {{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7]=>[3,2,6,5,4,8,7,1]=>[8,2,1,5,4,3,7,6] {{1,7},{2,3},{4,5},{6,8}}=>[7,3,2,5,4,8,1,6]=>[3,7,2,5,4,8,6,1]=>[8,3,1,5,4,7,2,6] {{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1]=>[8,3,2,5,4,7,6,1]=>[8,3,2,5,4,7,6,1] {{1,8},{2,4},{3,5},{6,7}}=>[8,4,5,2,3,7,6,1]=>[8,4,2,5,7,3,6,1]=>[8,3,6,2,4,7,5,1] {{1,7},{2,4},{3,5},{6,8}}=>[7,4,5,2,3,8,1,6]=>[4,7,2,5,8,3,6,1]=>[8,3,6,1,4,7,2,5] {{1,6},{2,4},{3,5},{7,8}}=>[6,4,5,2,3,1,8,7]=>[4,2,6,5,8,3,7,1]=>[8,2,6,1,4,3,7,5] {{1,5},{2,4},{3,6},{7,8}}=>[5,4,6,2,1,3,8,7]=>[5,2,6,8,4,3,7,1]=>[8,2,6,5,1,3,7,4] {{1,4},{2,5},{3,6},{7,8}}=>[4,5,6,1,2,3,8,7]=>[4,1,5,6,8,2,3,7]=>[2,6,7,1,3,4,8,5] {{1,3},{2,5},{4,6},{7,8}}=>[3,5,1,6,2,4,8,7]=>[3,1,5,6,2,8,4,7]=>[2,5,1,7,3,4,8,6] {{1,2},{3,5},{4,6},{7,8}}=>[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,8,7] {{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7] {{1,3},{2,6},{4,5},{7,8}}=>[3,6,1,5,4,2,8,7]=>[3,1,6,5,4,8,2,7]=>[2,7,1,5,4,3,8,6] {{1,4},{2,6},{3,5},{7,8}}=>[4,6,5,1,3,2,8,7]=>[4,1,6,5,8,3,2,7]=>[2,7,6,1,4,3,8,5] {{1,5},{2,6},{3,4},{7,8}}=>[5,6,4,3,1,2,8,7]=>[5,1,6,8,4,3,2,7]=>[2,7,6,5,1,3,8,4] {{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,2,1,4,3] {{1,7},{2,5},{3,4},{6,8}}=>[7,5,4,3,2,8,1,6]=>[7,8,5,6,4,3,2,1]=>[8,7,6,5,3,4,1,2] {{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1]=>[8,5,4,7,6,3,2,1]=>[8,7,6,3,2,5,4,1] {{1,8},{2,6},{3,4},{5,7}}=>[8,6,4,3,7,2,5,1]=>[8,6,7,4,5,3,2,1]=>[8,7,6,4,5,2,3,1] {{1,7},{2,6},{3,4},{5,8}}=>[7,6,4,3,8,2,1,5]=>[7,8,6,4,5,3,2,1]=>[8,7,6,4,5,3,1,2] {{1,6},{2,7},{3,4},{5,8}}=>[6,7,4,3,8,1,2,5]=>[6,7,8,1,4,3,2,5]=>[4,7,6,5,8,1,2,3] {{1,5},{2,7},{3,4},{6,8}}=>[5,7,4,3,1,8,2,6]=>[5,7,1,8,4,3,2,6]=>[3,7,6,5,1,8,2,4] {{1,4},{2,7},{3,5},{6,8}}=>[4,7,5,1,3,8,2,6]=>[4,7,1,5,8,3,2,6]=>[3,7,6,1,4,8,2,5] {{1,3},{2,7},{4,5},{6,8}}=>[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,8,2,6] {{1,2},{3,7},{4,5},{6,8}}=>[2,1,7,5,4,8,3,6]=>[2,7,1,5,4,3,8,6]=>[3,1,6,5,4,8,2,7] {{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3]=>[8,2,1,5,4,3,7,6]=>[3,2,6,5,4,8,7,1] {{1,3},{2,8},{4,5},{6,7}}=>[3,8,1,5,4,7,6,2]=>[8,3,1,5,4,7,2,6]=>[3,7,2,5,4,8,6,1] {{1,4},{2,8},{3,5},{6,7}}=>[4,8,5,1,3,7,6,2]=>[8,4,1,5,7,3,2,6]=>[3,7,6,2,4,8,5,1] {{1,5},{2,8},{3,4},{6,7}}=>[5,8,4,3,1,7,6,2]=>[5,4,3,8,7,6,1,2]=>[7,8,3,2,1,6,5,4] {{1,6},{2,8},{3,4},{5,7}}=>[6,8,4,3,7,1,5,2]=>[6,4,8,3,7,5,1,2]=>[7,8,4,2,6,1,5,3] {{1,7},{2,8},{3,4},{5,6}}=>[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2] {{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1] {{1,8},{2,7},{3,5},{4,6}}=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1] {{1,7},{2,8},{3,5},{4,6}}=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2] {{1,6},{2,8},{3,5},{4,7}}=>[6,8,5,7,3,1,4,2]=>[6,5,8,7,3,4,1,2]=>[7,8,5,6,2,1,4,3] {{1,5},{2,8},{3,6},{4,7}}=>[5,8,6,7,1,3,4,2]=>[8,5,6,7,1,3,2,4]=>[5,7,6,8,2,3,4,1] {{1,4},{2,8},{3,6},{5,7}}=>[4,8,6,1,7,3,5,2]=>[8,4,6,1,7,3,2,5]=>[4,7,6,2,8,3,5,1] {{1,3},{2,8},{4,6},{5,7}}=>[3,8,1,6,7,4,5,2]=>[8,3,6,1,4,7,2,5]=>[4,7,2,5,8,3,6,1] {{1,2},{3,8},{4,6},{5,7}}=>[2,1,8,6,7,4,5,3]=>[8,2,6,1,4,3,7,5]=>[4,2,6,5,8,3,7,1] {{1,2},{3,7},{4,6},{5,8}}=>[2,1,7,6,8,4,3,5]=>[2,7,6,1,4,3,8,5]=>[4,1,6,5,8,3,2,7] {{1,3},{2,7},{4,6},{5,8}}=>[3,7,1,6,8,4,2,5]=>[3,7,6,1,4,8,2,5]=>[4,7,1,5,8,3,2,6] {{1,4},{2,7},{3,6},{5,8}}=>[4,7,6,1,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>[4,7,6,1,8,3,2,5] {{1,5},{2,7},{3,6},{4,8}}=>[5,7,6,8,1,3,2,4]=>[5,7,6,8,1,3,2,4]=>[5,7,6,8,1,3,2,4] {{1,6},{2,7},{3,5},{4,8}}=>[6,7,5,8,3,1,2,4]=>[6,7,8,5,1,3,2,4]=>[5,7,6,8,4,1,2,3] {{1,7},{2,6},{3,5},{4,8}}=>[7,6,5,8,3,2,1,4]=>[7,8,6,5,3,4,2,1]=>[8,7,5,6,4,3,1,2] {{1,8},{2,6},{3,5},{4,7}}=>[8,6,5,7,3,2,4,1]=>[8,6,7,5,3,4,2,1]=>[8,7,5,6,4,2,3,1] {{1,8},{2,5},{3,6},{4,7}}=>[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1] {{1,7},{2,5},{3,6},{4,8}}=>[7,5,6,8,2,3,1,4]=>[5,7,6,8,2,3,4,1]=>[8,5,6,7,1,3,2,4] {{1,6},{2,5},{3,7},{4,8}}=>[6,5,7,8,2,1,3,4]=>[6,7,8,5,2,3,4,1]=>[8,5,6,7,4,1,2,3] {{1,5},{2,6},{3,7},{4,8}}=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4] {{1,4},{2,6},{3,7},{5,8}}=>[4,6,7,1,8,2,3,5]=>[4,6,7,1,8,2,3,5]=>[4,6,7,1,8,2,3,5] {{1,3},{2,6},{4,7},{5,8}}=>[3,6,1,7,8,2,4,5]=>[3,6,7,1,2,8,4,5]=>[4,5,1,7,8,2,3,6] {{1,2},{3,6},{4,7},{5,8}}=>[2,1,6,7,8,3,4,5]=>[2,6,7,1,3,4,8,5]=>[4,1,5,6,8,2,3,7] {{1,2},{3,5},{4,7},{6,8}}=>[2,1,5,7,3,8,4,6]=>[2,5,1,7,3,4,8,6]=>[3,1,5,6,2,8,4,7] {{1,3},{2,5},{4,7},{6,8}}=>[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,8,4,6] {{1,4},{2,5},{3,7},{6,8}}=>[4,5,7,1,2,8,3,6]=>[4,5,1,7,8,2,3,6]=>[3,6,7,1,2,8,4,5] {{1,5},{2,4},{3,7},{6,8}}=>[5,4,7,2,1,8,3,6]=>[5,7,2,8,4,3,6,1]=>[8,3,6,5,1,7,2,4] {{1,6},{2,4},{3,7},{5,8}}=>[6,4,7,2,8,1,3,5]=>[6,7,8,2,4,3,5,1]=>[8,4,6,5,7,1,2,3] {{1,7},{2,4},{3,6},{5,8}}=>[7,4,6,2,8,3,1,5]=>[4,7,6,2,8,3,5,1]=>[8,4,6,1,7,3,2,5] {{1,8},{2,4},{3,6},{5,7}}=>[8,4,6,2,7,3,5,1]=>[8,4,6,2,7,3,5,1]=>[8,4,6,2,7,3,5,1] {{1,8},{2,3},{4,6},{5,7}}=>[8,3,2,6,7,4,5,1]=>[8,3,6,2,4,7,5,1]=>[8,4,2,5,7,3,6,1] {{1,7},{2,3},{4,6},{5,8}}=>[7,3,2,6,8,4,1,5]=>[3,7,6,2,4,8,5,1]=>[8,4,1,5,7,3,2,6] {{1,6},{2,3},{4,7},{5,8}}=>[6,3,2,7,8,1,4,5]=>[6,7,8,3,4,5,2,1]=>[8,7,4,5,6,1,2,3] {{1,5},{2,3},{4,7},{6,8}}=>[5,3,2,7,1,8,4,6]=>[5,7,3,8,4,6,2,1]=>[8,7,3,5,1,6,2,4] {{1,4},{2,3},{5,7},{6,8}}=>[4,3,2,1,7,8,5,6]=>[4,7,3,5,8,6,2,1]=>[8,7,3,1,4,6,2,5] {{1,3},{2,4},{5,7},{6,8}}=>[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,8,5,6] {{1,2},{3,4},{5,7},{6,8}}=>[2,1,4,3,7,8,5,6]=>[2,4,1,3,7,5,8,6]=>[3,1,4,2,6,8,5,7] {{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5]=>[8,7,2,1,4,3,6,5]=>[4,3,6,5,8,7,2,1] {{1,3},{2,4},{5,8},{6,7}}=>[3,4,1,2,8,7,6,5]=>[8,7,3,1,4,6,2,5]=>[4,7,3,5,8,6,2,1] {{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5] {{1,5},{2,3},{4,8},{6,7}}=>[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4] {{1,6},{2,3},{4,8},{5,7}}=>[6,3,2,8,7,1,5,4]=>[6,3,8,2,1,7,5,4]=>[5,4,2,8,7,1,6,3] {{1,7},{2,3},{4,8},{5,6}}=>[7,3,2,8,6,5,1,4]=>[7,8,3,2,1,6,5,4]=>[5,4,3,8,7,6,1,2] {{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1]=>[8,7,6,3,2,5,4,1]=>[8,5,4,7,6,3,2,1] {{1,8},{2,4},{3,7},{5,6}}=>[8,4,7,2,6,5,3,1]=>[8,7,6,4,5,2,3,1]=>[8,6,7,4,5,3,2,1] {{1,7},{2,4},{3,8},{5,6}}=>[7,4,8,2,6,5,1,3]=>[7,8,4,2,6,1,5,3]=>[6,4,8,3,7,5,1,2] {{1,6},{2,4},{3,8},{5,7}}=>[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3] {{1,5},{2,4},{3,8},{6,7}}=>[5,4,8,2,1,7,6,3]=>[5,4,2,8,7,1,6,3]=>[6,3,8,2,1,7,5,4] {{1,4},{2,5},{3,8},{6,7}}=>[4,5,8,1,2,7,6,3]=>[8,7,4,5,6,1,2,3]=>[6,7,8,3,4,5,2,1] {{1,3},{2,5},{4,8},{6,7}}=>[3,5,1,8,2,7,6,4]=>[8,7,3,5,1,6,2,4]=>[5,7,3,8,4,6,2,1] {{1,2},{3,5},{4,8},{6,7}}=>[2,1,5,8,3,7,6,4]=>[8,7,2,5,1,3,6,4]=>[5,3,6,8,4,7,2,1] {{1,2},{3,6},{4,8},{5,7}}=>[2,1,6,8,7,3,5,4]=>[8,2,6,5,1,3,7,4]=>[5,2,6,8,4,3,7,1] {{1,3},{2,6},{4,8},{5,7}}=>[3,6,1,8,7,2,5,4]=>[8,3,6,5,1,7,2,4]=>[5,7,2,8,4,3,6,1] {{1,4},{2,6},{3,8},{5,7}}=>[4,6,8,1,7,2,5,3]=>[8,4,6,5,7,1,2,3]=>[6,7,8,2,4,3,5,1] {{1,5},{2,6},{3,8},{4,7}}=>[5,6,8,7,1,2,4,3]=>[8,5,6,7,4,1,2,3]=>[6,7,8,5,2,3,4,1] {{1,6},{2,5},{3,8},{4,7}}=>[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3] {{1,7},{2,5},{3,8},{4,6}}=>[7,5,8,6,2,4,1,3]=>[7,8,5,6,2,1,4,3]=>[6,5,8,7,3,4,1,2] {{1,8},{2,5},{3,7},{4,6}}=>[8,5,7,6,2,4,3,1]=>[8,7,5,6,4,2,3,1]=>[8,6,7,5,3,4,2,1] {{1,8},{2,6},{3,7},{4,5}}=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1] {{1,7},{2,6},{3,8},{4,5}}=>[7,6,8,5,4,2,1,3]=>[7,8,6,5,4,2,3,1]=>[8,6,7,5,4,3,1,2] {{1,6},{2,7},{3,8},{4,5}}=>[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3] {{1,5},{2,7},{3,8},{4,6}}=>[5,7,8,6,1,4,2,3]=>[5,7,6,8,4,1,2,3]=>[6,7,8,5,1,3,2,4] {{1,4},{2,7},{3,8},{5,6}}=>[4,7,8,1,6,5,2,3]=>[4,7,6,5,8,1,2,3]=>[6,7,8,1,4,3,2,5] {{1,3},{2,7},{4,8},{5,6}}=>[3,7,1,8,6,5,2,4]=>[3,7,6,5,1,8,2,4]=>[5,7,1,8,4,3,2,6] {{1,2},{3,7},{4,8},{5,6}}=>[2,1,7,8,6,5,3,4]=>[2,7,6,5,1,3,8,4]=>[5,1,6,8,4,3,2,7] {{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3]=>[8,7,6,5,2,1,4,3]=>[6,5,8,7,4,3,2,1] {{1,3},{2,8},{4,7},{5,6}}=>[3,8,1,7,6,5,4,2]=>[8,7,6,5,3,4,1,2]=>[7,8,5,6,4,3,2,1] {{1,4},{2,8},{3,7},{5,6}}=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,1,2]=>[7,8,6,4,5,3,2,1] {{1,5},{2,8},{3,7},{4,6}}=>[5,8,7,6,1,4,3,2]=>[8,7,5,6,4,3,1,2]=>[7,8,6,5,3,4,2,1] {{1,6},{2,8},{3,7},{4,5}}=>[6,8,7,5,4,1,3,2]=>[8,6,7,5,4,3,1,2]=>[7,8,6,5,4,2,3,1] {{1,7},{2,8},{3,6},{4,5}}=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2] {{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
Map
inverse
Description
Sends a permutation to its inverse.