Identifier
Mp00023: Dyck paths to non-crossing permutationPermutations
Mp00088: Permutations Kreweras complementPermutations
Mp00151: Permutations to cycle typeSet partitions
Mp00080: Set partitions to permutationPermutations
Images
=>
Cc0005;cc-rep-0Cc0009;cc-rep-3
[1,0]=>[1]=>[1]=>{{1}}=>[1] [1,0,1,0]=>[1,2]=>[2,1]=>{{1,2}}=>[2,1] [1,1,0,0]=>[2,1]=>[1,2]=>{{1},{2}}=>[1,2] [1,0,1,0,1,0]=>[1,2,3]=>[2,3,1]=>{{1,2,3}}=>[2,3,1] [1,0,1,1,0,0]=>[1,3,2]=>[2,1,3]=>{{1,2},{3}}=>[2,1,3] [1,1,0,0,1,0]=>[2,1,3]=>[3,2,1]=>{{1,3},{2}}=>[3,2,1] [1,1,0,1,0,0]=>[2,3,1]=>[1,2,3]=>{{1},{2},{3}}=>[1,2,3] [1,1,1,0,0,0]=>[3,2,1]=>[1,3,2]=>{{1},{2,3}}=>[1,3,2] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[2,3,4,1]=>{{1,2,3,4}}=>[2,3,4,1] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[2,3,1,4]=>{{1,2,3},{4}}=>[2,3,1,4] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[2,4,3,1]=>{{1,2,4},{3}}=>[2,4,3,1] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[2,1,3,4]=>{{1,2},{3},{4}}=>[2,1,3,4] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[2,1,4,3]=>{{1,2},{3,4}}=>[2,1,4,3] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[3,2,4,1]=>{{1,3,4},{2}}=>[3,2,4,1] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[3,2,1,4]=>{{1,3},{2},{4}}=>[3,2,1,4] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[4,2,3,1]=>{{1,4},{2},{3}}=>[4,2,3,1] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[1,2,3,4]=>{{1},{2},{3},{4}}=>[1,2,3,4] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[1,2,4,3]=>{{1},{2},{3,4}}=>[1,2,4,3] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[4,3,2,1]=>{{1,4},{2,3}}=>[4,3,2,1] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[1,3,2,4]=>{{1},{2,3},{4}}=>[1,3,2,4] [1,1,1,0,1,0,0,0]=>[4,2,3,1]=>[1,3,4,2]=>{{1},{2,3,4}}=>[1,3,4,2] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[1,4,3,2]=>{{1},{2,4},{3}}=>[1,4,3,2] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[2,3,4,5,1]=>{{1,2,3,4,5}}=>[2,3,4,5,1] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[2,3,4,1,5]=>{{1,2,3,4},{5}}=>[2,3,4,1,5] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[2,3,5,4,1]=>{{1,2,3,5},{4}}=>[2,3,5,4,1] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[2,3,1,4,5]=>{{1,2,3},{4},{5}}=>[2,3,1,4,5] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[2,3,1,5,4]=>{{1,2,3},{4,5}}=>[2,3,1,5,4] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[2,4,3,5,1]=>{{1,2,4,5},{3}}=>[2,4,3,5,1] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[2,4,3,1,5]=>{{1,2,4},{3},{5}}=>[2,4,3,1,5] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[2,5,3,4,1]=>{{1,2,5},{3},{4}}=>[2,5,3,4,1] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[2,1,3,4,5]=>{{1,2},{3},{4},{5}}=>[2,1,3,4,5] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[2,1,3,5,4]=>{{1,2},{3},{4,5}}=>[2,1,3,5,4] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[2,5,4,3,1]=>{{1,2,5},{3,4}}=>[2,5,4,3,1] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[2,1,4,3,5]=>{{1,2},{3,4},{5}}=>[2,1,4,3,5] [1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]=>[2,1,4,5,3]=>{{1,2},{3,4,5}}=>[2,1,4,5,3] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[2,1,5,4,3]=>{{1,2},{3,5},{4}}=>[2,1,5,4,3] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[3,2,4,5,1]=>{{1,3,4,5},{2}}=>[3,2,4,5,1] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[3,2,4,1,5]=>{{1,3,4},{2},{5}}=>[3,2,4,1,5] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[3,2,5,4,1]=>{{1,3,5},{2},{4}}=>[3,2,5,4,1] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[3,2,1,4,5]=>{{1,3},{2},{4},{5}}=>[3,2,1,4,5] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[3,2,1,5,4]=>{{1,3},{2},{4,5}}=>[3,2,1,5,4] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[4,2,3,5,1]=>{{1,4,5},{2},{3}}=>[4,2,3,5,1] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[4,2,3,1,5]=>{{1,4},{2},{3},{5}}=>[4,2,3,1,5] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[5,2,3,4,1]=>{{1,5},{2},{3},{4}}=>[5,2,3,4,1] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[1,2,3,4,5]=>{{1},{2},{3},{4},{5}}=>[1,2,3,4,5] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[1,2,3,5,4]=>{{1},{2},{3},{4,5}}=>[1,2,3,5,4] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[5,2,4,3,1]=>{{1,5},{2},{3,4}}=>[5,2,4,3,1] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[1,2,4,3,5]=>{{1},{2},{3,4},{5}}=>[1,2,4,3,5] [1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]=>[1,2,4,5,3]=>{{1},{2},{3,4,5}}=>[1,2,4,5,3] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[1,2,5,4,3]=>{{1},{2},{3,5},{4}}=>[1,2,5,4,3] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[4,3,2,5,1]=>{{1,4,5},{2,3}}=>[4,3,2,5,1] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[4,3,2,1,5]=>{{1,4},{2,3},{5}}=>[4,3,2,1,5] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[5,3,2,4,1]=>{{1,5},{2,3},{4}}=>[5,3,2,4,1] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[1,3,2,4,5]=>{{1},{2,3},{4},{5}}=>[1,3,2,4,5] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[1,3,2,5,4]=>{{1},{2,3},{4,5}}=>[1,3,2,5,4] [1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]=>[5,3,4,2,1]=>{{1,5},{2,3,4}}=>[5,3,4,2,1] [1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]=>[1,3,4,2,5]=>{{1},{2,3,4},{5}}=>[1,3,4,2,5] [1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]=>[1,3,4,5,2]=>{{1},{2,3,4,5}}=>[1,3,4,5,2] [1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]=>[1,3,5,4,2]=>{{1},{2,3,5},{4}}=>[1,3,5,4,2] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[5,4,3,2,1]=>{{1,5},{2,4},{3}}=>[5,4,3,2,1] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[1,4,3,2,5]=>{{1},{2,4},{3},{5}}=>[1,4,3,2,5] [1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]=>[1,4,3,5,2]=>{{1},{2,4,5},{3}}=>[1,4,3,5,2] [1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]=>[1,5,3,4,2]=>{{1},{2,5},{3},{4}}=>[1,5,3,4,2] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[1,5,4,3,2]=>{{1},{2,5},{3,4}}=>[1,5,4,3,2] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>{{1,2,3,4,5,6}}=>[2,3,4,5,6,1] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>{{1,2,3,4,5},{6}}=>[2,3,4,5,1,6] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>{{1,2,3,4,6},{5}}=>[2,3,4,6,5,1] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>{{1,2,3,4},{5},{6}}=>[2,3,4,1,5,6] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>{{1,2,3,4},{5,6}}=>[2,3,4,1,6,5] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>{{1,2,3,5,6},{4}}=>[2,3,5,4,6,1] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>{{1,2,3,5},{4},{6}}=>[2,3,5,4,1,6] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>{{1,2,3,6},{4},{5}}=>[2,3,6,4,5,1] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>{{1,2,3},{4},{5},{6}}=>[2,3,1,4,5,6] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>{{1,2,3},{4},{5,6}}=>[2,3,1,4,6,5] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>{{1,2,3,6},{4,5}}=>[2,3,6,5,4,1] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>{{1,2,3},{4,5},{6}}=>[2,3,1,5,4,6] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>{{1,2,3},{4,5,6}}=>[2,3,1,5,6,4] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>{{1,2,3},{4,6},{5}}=>[2,3,1,6,5,4] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>{{1,2,4,5,6},{3}}=>[2,4,3,5,6,1] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>{{1,2,4,5},{3},{6}}=>[2,4,3,5,1,6] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>{{1,2,4,6},{3},{5}}=>[2,4,3,6,5,1] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>{{1,2,4},{3},{5},{6}}=>[2,4,3,1,5,6] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>{{1,2,4},{3},{5,6}}=>[2,4,3,1,6,5] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>{{1,2,5,6},{3},{4}}=>[2,5,3,4,6,1] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>{{1,2,5},{3},{4},{6}}=>[2,5,3,4,1,6] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>{{1,2,6},{3},{4},{5}}=>[2,6,3,4,5,1] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>{{1,2},{3},{4},{5},{6}}=>[2,1,3,4,5,6] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>{{1,2},{3},{4},{5,6}}=>[2,1,3,4,6,5] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>{{1,2,6},{3},{4,5}}=>[2,6,3,5,4,1] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>{{1,2},{3},{4,5},{6}}=>[2,1,3,5,4,6] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]=>[2,1,3,5,6,4]=>{{1,2},{3},{4,5,6}}=>[2,1,3,5,6,4] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>{{1,2},{3},{4,6},{5}}=>[2,1,3,6,5,4] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>{{1,2,5,6},{3,4}}=>[2,5,4,3,6,1] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>{{1,2,5},{3,4},{6}}=>[2,5,4,3,1,6] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>{{1,2,6},{3,4},{5}}=>[2,6,4,3,5,1] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>{{1,2},{3,4},{5},{6}}=>[2,1,4,3,5,6] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>{{1,2},{3,4},{5,6}}=>[2,1,4,3,6,5] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]=>[2,6,4,5,3,1]=>{{1,2,6},{3,4,5}}=>[2,6,4,5,3,1] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]=>[2,1,4,5,3,6]=>{{1,2},{3,4,5},{6}}=>[2,1,4,5,3,6] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]=>[2,1,4,5,6,3]=>{{1,2},{3,4,5,6}}=>[2,1,4,5,6,3] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]=>[2,1,4,6,5,3]=>{{1,2},{3,4,6},{5}}=>[2,1,4,6,5,3] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>{{1,2,6},{3,5},{4}}=>[2,6,5,4,3,1] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>{{1,2},{3,5},{4},{6}}=>[2,1,5,4,3,6] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]=>[2,1,5,4,6,3]=>{{1,2},{3,5,6},{4}}=>[2,1,5,4,6,3] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]=>[2,1,6,4,5,3]=>{{1,2},{3,6},{4},{5}}=>[2,1,6,4,5,3] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>{{1,2},{3,6},{4,5}}=>[2,1,6,5,4,3] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>{{1,3,4,5,6},{2}}=>[3,2,4,5,6,1] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>{{1,3,4,5},{2},{6}}=>[3,2,4,5,1,6] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>{{1,3,4,6},{2},{5}}=>[3,2,4,6,5,1] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[3,2,4,1,5,6]=>{{1,3,4},{2},{5},{6}}=>[3,2,4,1,5,6] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[3,2,4,1,6,5]=>{{1,3,4},{2},{5,6}}=>[3,2,4,1,6,5] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>{{1,3,5,6},{2},{4}}=>[3,2,5,4,6,1] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>{{1,3,5},{2},{4},{6}}=>[3,2,5,4,1,6] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[3,2,6,4,5,1]=>{{1,3,6},{2},{4},{5}}=>[3,2,6,4,5,1] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[3,2,1,4,5,6]=>{{1,3},{2},{4},{5},{6}}=>[3,2,1,4,5,6] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[3,2,1,4,6,5]=>{{1,3},{2},{4},{5,6}}=>[3,2,1,4,6,5] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>{{1,3,6},{2},{4,5}}=>[3,2,6,5,4,1] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[3,2,1,5,4,6]=>{{1,3},{2},{4,5},{6}}=>[3,2,1,5,4,6] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]=>[3,2,1,5,6,4]=>{{1,3},{2},{4,5,6}}=>[3,2,1,5,6,4] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[3,2,1,6,5,4]=>{{1,3},{2},{4,6},{5}}=>[3,2,1,6,5,4] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[4,2,3,5,6,1]=>{{1,4,5,6},{2},{3}}=>[4,2,3,5,6,1] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[4,2,3,5,1,6]=>{{1,4,5},{2},{3},{6}}=>[4,2,3,5,1,6] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[4,2,3,6,5,1]=>{{1,4,6},{2},{3},{5}}=>[4,2,3,6,5,1] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[4,2,3,1,5,6]=>{{1,4},{2},{3},{5},{6}}=>[4,2,3,1,5,6] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[4,2,3,1,6,5]=>{{1,4},{2},{3},{5,6}}=>[4,2,3,1,6,5] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[5,2,3,4,6,1]=>{{1,5,6},{2},{3},{4}}=>[5,2,3,4,6,1] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[5,2,3,4,1,6]=>{{1,5},{2},{3},{4},{6}}=>[5,2,3,4,1,6] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[6,2,3,4,5,1]=>{{1,6},{2},{3},{4},{5}}=>[6,2,3,4,5,1] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>{{1},{2},{3},{4},{5},{6}}=>[1,2,3,4,5,6] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>{{1},{2},{3},{4},{5,6}}=>[1,2,3,4,6,5] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[6,2,3,5,4,1]=>{{1,6},{2},{3},{4,5}}=>[6,2,3,5,4,1] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>{{1},{2},{3},{4,5},{6}}=>[1,2,3,5,4,6] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]=>[1,2,3,5,6,4]=>{{1},{2},{3},{4,5,6}}=>[1,2,3,5,6,4] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[1,2,3,6,5,4]=>{{1},{2},{3},{4,6},{5}}=>[1,2,3,6,5,4] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[5,2,4,3,6,1]=>{{1,5,6},{2},{3,4}}=>[5,2,4,3,6,1] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[5,2,4,3,1,6]=>{{1,5},{2},{3,4},{6}}=>[5,2,4,3,1,6] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[6,2,4,3,5,1]=>{{1,6},{2},{3,4},{5}}=>[6,2,4,3,5,1] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>{{1},{2},{3,4},{5},{6}}=>[1,2,4,3,5,6] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>{{1},{2},{3,4},{5,6}}=>[1,2,4,3,6,5] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]=>[6,2,4,5,3,1]=>{{1,6},{2},{3,4,5}}=>[6,2,4,5,3,1] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]=>[1,2,4,5,3,6]=>{{1},{2},{3,4,5},{6}}=>[1,2,4,5,3,6] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]=>[1,2,4,5,6,3]=>{{1},{2},{3,4,5,6}}=>[1,2,4,5,6,3] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]=>[1,2,4,6,5,3]=>{{1},{2},{3,4,6},{5}}=>[1,2,4,6,5,3] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[6,2,5,4,3,1]=>{{1,6},{2},{3,5},{4}}=>[6,2,5,4,3,1] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[1,2,5,4,3,6]=>{{1},{2},{3,5},{4},{6}}=>[1,2,5,4,3,6] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]=>[1,2,5,4,6,3]=>{{1},{2},{3,5,6},{4}}=>[1,2,5,4,6,3] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]=>[1,2,6,4,5,3]=>{{1},{2},{3,6},{4},{5}}=>[1,2,6,4,5,3] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[1,2,6,5,4,3]=>{{1},{2},{3,6},{4,5}}=>[1,2,6,5,4,3] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>{{1,4,5,6},{2,3}}=>[4,3,2,5,6,1] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>{{1,4,5},{2,3},{6}}=>[4,3,2,5,1,6] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>{{1,4,6},{2,3},{5}}=>[4,3,2,6,5,1] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[4,3,2,1,5,6]=>{{1,4},{2,3},{5},{6}}=>[4,3,2,1,5,6] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[4,3,2,1,6,5]=>{{1,4},{2,3},{5,6}}=>[4,3,2,1,6,5] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[5,3,2,4,6,1]=>{{1,5,6},{2,3},{4}}=>[5,3,2,4,6,1] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[5,3,2,4,1,6]=>{{1,5},{2,3},{4},{6}}=>[5,3,2,4,1,6] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[6,3,2,4,5,1]=>{{1,6},{2,3},{4},{5}}=>[6,3,2,4,5,1] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[1,3,2,4,5,6]=>{{1},{2,3},{4},{5},{6}}=>[1,3,2,4,5,6] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[1,3,2,4,6,5]=>{{1},{2,3},{4},{5,6}}=>[1,3,2,4,6,5] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[6,3,2,5,4,1]=>{{1,6},{2,3},{4,5}}=>[6,3,2,5,4,1] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[1,3,2,5,4,6]=>{{1},{2,3},{4,5},{6}}=>[1,3,2,5,4,6] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]=>[1,3,2,5,6,4]=>{{1},{2,3},{4,5,6}}=>[1,3,2,5,6,4] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[1,3,2,6,5,4]=>{{1},{2,3},{4,6},{5}}=>[1,3,2,6,5,4] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]=>[5,3,4,2,6,1]=>{{1,5,6},{2,3,4}}=>[5,3,4,2,6,1] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]=>[5,3,4,2,1,6]=>{{1,5},{2,3,4},{6}}=>[5,3,4,2,1,6] [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]=>[6,3,4,2,5,1]=>{{1,6},{2,3,4},{5}}=>[6,3,4,2,5,1] [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]=>[1,3,4,2,5,6]=>{{1},{2,3,4},{5},{6}}=>[1,3,4,2,5,6] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]=>[1,3,4,2,6,5]=>{{1},{2,3,4},{5,6}}=>[1,3,4,2,6,5] [1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]=>[6,3,4,5,2,1]=>{{1,6},{2,3,4,5}}=>[6,3,4,5,2,1] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]=>[1,3,4,5,2,6]=>{{1},{2,3,4,5},{6}}=>[1,3,4,5,2,6] [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]=>[1,3,4,5,6,2]=>{{1},{2,3,4,5,6}}=>[1,3,4,5,6,2] [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]=>[1,3,4,6,5,2]=>{{1},{2,3,4,6},{5}}=>[1,3,4,6,5,2] [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]=>[6,3,5,4,2,1]=>{{1,6},{2,3,5},{4}}=>[6,3,5,4,2,1] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]=>[1,3,5,4,2,6]=>{{1},{2,3,5},{4},{6}}=>[1,3,5,4,2,6] [1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]=>[1,3,5,4,6,2]=>{{1},{2,3,5,6},{4}}=>[1,3,5,4,6,2] [1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]=>[1,3,6,4,5,2]=>{{1},{2,3,6},{4},{5}}=>[1,3,6,4,5,2] [1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]=>[1,3,6,5,4,2]=>{{1},{2,3,6},{4,5}}=>[1,3,6,5,4,2] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>{{1,5,6},{2,4},{3}}=>[5,4,3,2,6,1] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>{{1,5},{2,4},{3},{6}}=>[5,4,3,2,1,6] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[6,4,3,2,5,1]=>{{1,6},{2,4},{3},{5}}=>[6,4,3,2,5,1] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[1,4,3,2,5,6]=>{{1},{2,4},{3},{5},{6}}=>[1,4,3,2,5,6] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[1,4,3,2,6,5]=>{{1},{2,4},{3},{5,6}}=>[1,4,3,2,6,5] [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]=>[6,4,3,5,2,1]=>{{1,6},{2,4,5},{3}}=>[6,4,3,5,2,1] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[1,4,3,5,2,6]=>{{1},{2,4,5},{3},{6}}=>[1,4,3,5,2,6] [1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]=>[1,4,3,5,6,2]=>{{1},{2,4,5,6},{3}}=>[1,4,3,5,6,2] [1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]=>[1,4,3,6,5,2]=>{{1},{2,4,6},{3},{5}}=>[1,4,3,6,5,2] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]=>[6,5,3,4,2,1]=>{{1,6},{2,5},{3},{4}}=>[6,5,3,4,2,1] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]=>[1,5,3,4,2,6]=>{{1},{2,5},{3},{4},{6}}=>[1,5,3,4,2,6] [1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]=>[1,5,3,4,6,2]=>{{1},{2,5,6},{3},{4}}=>[1,5,3,4,6,2] [1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]=>[1,6,3,4,5,2]=>{{1},{2,6},{3},{4},{5}}=>[1,6,3,4,5,2] [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]=>[1,6,3,5,4,2]=>{{1},{2,6},{3},{4,5}}=>[1,6,3,5,4,2] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>{{1,6},{2,5},{3,4}}=>[6,5,4,3,2,1] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[1,5,4,3,2,6]=>{{1},{2,5},{3,4},{6}}=>[1,5,4,3,2,6] [1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]=>[1,5,4,3,6,2]=>{{1},{2,5,6},{3,4}}=>[1,5,4,3,6,2] [1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]=>[1,6,4,3,5,2]=>{{1},{2,6},{3,4},{5}}=>[1,6,4,3,5,2] [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]=>[1,6,4,5,3,2]=>{{1},{2,6},{3,4,5}}=>[1,6,4,5,3,2] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[1,6,5,4,3,2]=>{{1},{2,6},{3,5},{4}}=>[1,6,5,4,3,2] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>{{1,2,3,4,5,6,7}}=>[2,3,4,5,6,7,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>{{1,2,3,4,5,6},{7}}=>[2,3,4,5,6,1,7] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>{{1,2,3,4,5,7},{6}}=>[2,3,4,5,7,6,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>{{1,2,3,4,5},{6},{7}}=>[2,3,4,5,1,6,7] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>{{1,2,3,4,5},{6,7}}=>[2,3,4,5,1,7,6] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>{{1,2,3,4,6,7},{5}}=>[2,3,4,6,5,7,1] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>{{1,2,3,4,6},{5},{7}}=>[2,3,4,6,5,1,7] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>{{1,2,3,4,7},{5},{6}}=>[2,3,4,7,5,6,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>{{1,2,3,4},{5},{6},{7}}=>[2,3,4,1,5,6,7] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>{{1,2,3,4},{5},{6,7}}=>[2,3,4,1,5,7,6] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>{{1,2,3,4,7},{5,6}}=>[2,3,4,7,6,5,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>{{1,2,3,4},{5,6},{7}}=>[2,3,4,1,6,5,7] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>{{1,2,3,4},{5,6,7}}=>[2,3,4,1,6,7,5] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>{{1,2,3,4},{5,7},{6}}=>[2,3,4,1,7,6,5] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>{{1,2,3,5,6,7},{4}}=>[2,3,5,4,6,7,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>{{1,2,3,5,6},{4},{7}}=>[2,3,5,4,6,1,7] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>{{1,2,3,5,7},{4},{6}}=>[2,3,5,4,7,6,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>{{1,2,3,5},{4},{6},{7}}=>[2,3,5,4,1,6,7] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>{{1,2,3,5},{4},{6,7}}=>[2,3,5,4,1,7,6] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>{{1,2,3,6,7},{4},{5}}=>[2,3,6,4,5,7,1] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>{{1,2,3,6},{4},{5},{7}}=>[2,3,6,4,5,1,7] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>{{1,2,3,7},{4},{5},{6}}=>[2,3,7,4,5,6,1] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>{{1,2,3},{4},{5},{6},{7}}=>[2,3,1,4,5,6,7] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>{{1,2,3},{4},{5},{6,7}}=>[2,3,1,4,5,7,6] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>{{1,2,3,7},{4},{5,6}}=>[2,3,7,4,6,5,1] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>{{1,2,3},{4},{5,6},{7}}=>[2,3,1,4,6,5,7] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]=>[2,3,1,4,6,7,5]=>{{1,2,3},{4},{5,6,7}}=>[2,3,1,4,6,7,5] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>{{1,2,3},{4},{5,7},{6}}=>[2,3,1,4,7,6,5] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>{{1,2,3,6,7},{4,5}}=>[2,3,6,5,4,7,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>{{1,2,3,6},{4,5},{7}}=>[2,3,6,5,4,1,7] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>{{1,2,3,7},{4,5},{6}}=>[2,3,7,5,4,6,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>{{1,2,3},{4,5},{6},{7}}=>[2,3,1,5,4,6,7] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>{{1,2,3},{4,5},{6,7}}=>[2,3,1,5,4,7,6] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>{{1,2,3,7},{4,5,6}}=>[2,3,7,5,6,4,1] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]=>[2,3,1,5,6,4,7]=>{{1,2,3},{4,5,6},{7}}=>[2,3,1,5,6,4,7] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>{{1,2,3},{4,5,6,7}}=>[2,3,1,5,6,7,4] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>{{1,2,3},{4,5,7},{6}}=>[2,3,1,5,7,6,4] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>{{1,2,3,7},{4,6},{5}}=>[2,3,7,6,5,4,1] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>{{1,2,3},{4,6},{5},{7}}=>[2,3,1,6,5,4,7] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>{{1,2,3},{4,6,7},{5}}=>[2,3,1,6,5,7,4] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]=>[2,3,1,7,5,6,4]=>{{1,2,3},{4,7},{5},{6}}=>[2,3,1,7,5,6,4] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>{{1,2,3},{4,7},{5,6}}=>[2,3,1,7,6,5,4] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>{{1,2,4,5,6,7},{3}}=>[2,4,3,5,6,7,1] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>{{1,2,4,5,6},{3},{7}}=>[2,4,3,5,6,1,7] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>{{1,2,4,5,7},{3},{6}}=>[2,4,3,5,7,6,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>{{1,2,4,5},{3},{6},{7}}=>[2,4,3,5,1,6,7] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>{{1,2,4,5},{3},{6,7}}=>[2,4,3,5,1,7,6] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>{{1,2,4,6,7},{3},{5}}=>[2,4,3,6,5,7,1] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>{{1,2,4,6},{3},{5},{7}}=>[2,4,3,6,5,1,7] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>{{1,2,4,7},{3},{5},{6}}=>[2,4,3,7,5,6,1] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>{{1,2,4},{3},{5},{6},{7}}=>[2,4,3,1,5,6,7] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>{{1,2,4},{3},{5},{6,7}}=>[2,4,3,1,5,7,6] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>{{1,2,4,7},{3},{5,6}}=>[2,4,3,7,6,5,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>{{1,2,4},{3},{5,6},{7}}=>[2,4,3,1,6,5,7] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>{{1,2,4},{3},{5,6,7}}=>[2,4,3,1,6,7,5] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>{{1,2,4},{3},{5,7},{6}}=>[2,4,3,1,7,6,5] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>{{1,2,5,6,7},{3},{4}}=>[2,5,3,4,6,7,1] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>{{1,2,5,6},{3},{4},{7}}=>[2,5,3,4,6,1,7] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>{{1,2,5,7},{3},{4},{6}}=>[2,5,3,4,7,6,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>{{1,2,5},{3},{4},{6},{7}}=>[2,5,3,4,1,6,7] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>{{1,2,5},{3},{4},{6,7}}=>[2,5,3,4,1,7,6] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>{{1,2,6,7},{3},{4},{5}}=>[2,6,3,4,5,7,1] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>{{1,2,6},{3},{4},{5},{7}}=>[2,6,3,4,5,1,7] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>{{1,2,7},{3},{4},{5},{6}}=>[2,7,3,4,5,6,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[2,1,3,4,5,6,7]=>{{1,2},{3},{4},{5},{6},{7}}=>[2,1,3,4,5,6,7] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[2,1,3,4,5,7,6]=>{{1,2},{3},{4},{5},{6,7}}=>[2,1,3,4,5,7,6] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>{{1,2,7},{3},{4},{5,6}}=>[2,7,3,4,6,5,1] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[2,1,3,4,6,5,7]=>{{1,2},{3},{4},{5,6},{7}}=>[2,1,3,4,6,5,7] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]=>[2,1,3,4,6,7,5]=>{{1,2},{3},{4},{5,6,7}}=>[2,1,3,4,6,7,5] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[2,1,3,4,7,6,5]=>{{1,2},{3},{4},{5,7},{6}}=>[2,1,3,4,7,6,5] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>{{1,2,6,7},{3},{4,5}}=>[2,6,3,5,4,7,1] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>{{1,2,6},{3},{4,5},{7}}=>[2,6,3,5,4,1,7] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>{{1,2,7},{3},{4,5},{6}}=>[2,7,3,5,4,6,1] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[2,1,3,5,4,6,7]=>{{1,2},{3},{4,5},{6},{7}}=>[2,1,3,5,4,6,7] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[2,1,3,5,4,7,6]=>{{1,2},{3},{4,5},{6,7}}=>[2,1,3,5,4,7,6] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]=>[2,7,3,5,6,4,1]=>{{1,2,7},{3},{4,5,6}}=>[2,7,3,5,6,4,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]=>[2,1,3,5,6,4,7]=>{{1,2},{3},{4,5,6},{7}}=>[2,1,3,5,6,4,7] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]=>[2,1,3,5,6,7,4]=>{{1,2},{3},{4,5,6,7}}=>[2,1,3,5,6,7,4] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]=>[2,1,3,5,7,6,4]=>{{1,2},{3},{4,5,7},{6}}=>[2,1,3,5,7,6,4] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>{{1,2,7},{3},{4,6},{5}}=>[2,7,3,6,5,4,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[2,1,3,6,5,4,7]=>{{1,2},{3},{4,6},{5},{7}}=>[2,1,3,6,5,4,7] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]=>[2,1,3,6,5,7,4]=>{{1,2},{3},{4,6,7},{5}}=>[2,1,3,6,5,7,4] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]=>[2,1,3,7,5,6,4]=>{{1,2},{3},{4,7},{5},{6}}=>[2,1,3,7,5,6,4] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[2,1,3,7,6,5,4]=>{{1,2},{3},{4,7},{5,6}}=>[2,1,3,7,6,5,4] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>{{1,2,5,6,7},{3,4}}=>[2,5,4,3,6,7,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>{{1,2,5,6},{3,4},{7}}=>[2,5,4,3,6,1,7] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>{{1,2,5,7},{3,4},{6}}=>[2,5,4,3,7,6,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>{{1,2,5},{3,4},{6},{7}}=>[2,5,4,3,1,6,7] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>{{1,2,5},{3,4},{6,7}}=>[2,5,4,3,1,7,6] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>{{1,2,6,7},{3,4},{5}}=>[2,6,4,3,5,7,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>{{1,2,6},{3,4},{5},{7}}=>[2,6,4,3,5,1,7] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>{{1,2,7},{3,4},{5},{6}}=>[2,7,4,3,5,6,1] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[2,1,4,3,5,6,7]=>{{1,2},{3,4},{5},{6},{7}}=>[2,1,4,3,5,6,7] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[2,1,4,3,5,7,6]=>{{1,2},{3,4},{5},{6,7}}=>[2,1,4,3,5,7,6] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>{{1,2,7},{3,4},{5,6}}=>[2,7,4,3,6,5,1] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[2,1,4,3,6,5,7]=>{{1,2},{3,4},{5,6},{7}}=>[2,1,4,3,6,5,7] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]=>[2,1,4,3,6,7,5]=>{{1,2},{3,4},{5,6,7}}=>[2,1,4,3,6,7,5] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[2,1,4,3,7,6,5]=>{{1,2},{3,4},{5,7},{6}}=>[2,1,4,3,7,6,5] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>{{1,2,6,7},{3,4,5}}=>[2,6,4,5,3,7,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>{{1,2,6},{3,4,5},{7}}=>[2,6,4,5,3,1,7] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,3,4,6,2,7]=>[2,7,4,5,3,6,1]=>{{1,2,7},{3,4,5},{6}}=>[2,7,4,5,3,6,1] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,5,3,4,6,7,2]=>[2,1,4,5,3,6,7]=>{{1,2},{3,4,5},{6},{7}}=>[2,1,4,5,3,6,7] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,2]=>[2,1,4,5,3,7,6]=>{{1,2},{3,4,5},{6,7}}=>[2,1,4,5,3,7,6] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,3,4,5,2,7]=>[2,7,4,5,6,3,1]=>{{1,2,7},{3,4,5,6}}=>[2,7,4,5,6,3,1] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6,3,4,5,7,2]=>[2,1,4,5,6,3,7]=>{{1,2},{3,4,5,6},{7}}=>[2,1,4,5,6,3,7] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,7,3,4,5,6,2]=>[2,1,4,5,6,7,3]=>{{1,2},{3,4,5,6,7}}=>[2,1,4,5,6,7,3] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,7,3,4,6,5,2]=>[2,1,4,5,7,6,3]=>{{1,2},{3,4,5,7},{6}}=>[2,1,4,5,7,6,3] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,2,7]=>[2,7,4,6,5,3,1]=>{{1,2,7},{3,4,6},{5}}=>[2,7,4,6,5,3,1] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6,3,5,4,7,2]=>[2,1,4,6,5,3,7]=>{{1,2},{3,4,6},{5},{7}}=>[2,1,4,6,5,3,7] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,7,3,5,4,6,2]=>[2,1,4,6,5,7,3]=>{{1,2},{3,4,6,7},{5}}=>[2,1,4,6,5,7,3] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]=>[2,1,4,7,5,6,3]=>{{1,2},{3,4,7},{5},{6}}=>[2,1,4,7,5,6,3] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]=>[2,1,4,7,6,5,3]=>{{1,2},{3,4,7},{5,6}}=>[2,1,4,7,6,5,3] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>{{1,2,6,7},{3,5},{4}}=>[2,6,5,4,3,7,1] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>{{1,2,6},{3,5},{4},{7}}=>[2,6,5,4,3,1,7] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>{{1,2,7},{3,5},{4},{6}}=>[2,7,5,4,3,6,1] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[2,1,5,4,3,6,7]=>{{1,2},{3,5},{4},{6},{7}}=>[2,1,5,4,3,6,7] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[2,1,5,4,3,7,6]=>{{1,2},{3,5},{4},{6,7}}=>[2,1,5,4,3,7,6] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,4,3,5,2,7]=>[2,7,5,4,6,3,1]=>{{1,2,7},{3,5,6},{4}}=>[2,7,5,4,6,3,1] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6,4,3,5,7,2]=>[2,1,5,4,6,3,7]=>{{1,2},{3,5,6},{4},{7}}=>[2,1,5,4,6,3,7] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,7,4,3,5,6,2]=>[2,1,5,4,6,7,3]=>{{1,2},{3,5,6,7},{4}}=>[2,1,5,4,6,7,3] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]=>[2,1,5,4,7,6,3]=>{{1,2},{3,5,7},{4},{6}}=>[2,1,5,4,7,6,3] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,4,5,3,2,7]=>[2,7,6,4,5,3,1]=>{{1,2,7},{3,6},{4},{5}}=>[2,7,6,4,5,3,1] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6,4,5,3,7,2]=>[2,1,6,4,5,3,7]=>{{1,2},{3,6},{4},{5},{7}}=>[2,1,6,4,5,3,7] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]=>[2,1,6,4,5,7,3]=>{{1,2},{3,6,7},{4},{5}}=>[2,1,6,4,5,7,3] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]=>[2,1,7,4,5,6,3]=>{{1,2},{3,7},{4},{5},{6}}=>[2,1,7,4,5,6,3] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]=>[2,1,7,4,6,5,3]=>{{1,2},{3,7},{4},{5,6}}=>[2,1,7,4,6,5,3] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>{{1,2,7},{3,6},{4,5}}=>[2,7,6,5,4,3,1] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[2,1,6,5,4,3,7]=>{{1,2},{3,6},{4,5},{7}}=>[2,1,6,5,4,3,7] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]=>[2,1,6,5,4,7,3]=>{{1,2},{3,6,7},{4,5}}=>[2,1,6,5,4,7,3] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]=>[2,1,7,5,4,6,3]=>{{1,2},{3,7},{4,5},{6}}=>[2,1,7,5,4,6,3] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]=>[2,1,7,5,6,4,3]=>{{1,2},{3,7},{4,5,6}}=>[2,1,7,5,6,4,3] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]=>{{1,2},{3,7},{4,6},{5}}=>[2,1,7,6,5,4,3] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>{{1,3,4,5,6,7},{2}}=>[3,2,4,5,6,7,1] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>{{1,3,4,5,6},{2},{7}}=>[3,2,4,5,6,1,7] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>{{1,3,4,5,7},{2},{6}}=>[3,2,4,5,7,6,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[3,2,4,5,1,6,7]=>{{1,3,4,5},{2},{6},{7}}=>[3,2,4,5,1,6,7] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,7,6]=>{{1,3,4,5},{2},{6,7}}=>[3,2,4,5,1,7,6] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>{{1,3,4,6,7},{2},{5}}=>[3,2,4,6,5,7,1] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>{{1,3,4,6},{2},{5},{7}}=>[3,2,4,6,5,1,7] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[3,2,4,7,5,6,1]=>{{1,3,4,7},{2},{5},{6}}=>[3,2,4,7,5,6,1] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[3,2,4,1,5,6,7]=>{{1,3,4},{2},{5},{6},{7}}=>[3,2,4,1,5,6,7] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[3,2,4,1,5,7,6]=>{{1,3,4},{2},{5},{6,7}}=>[3,2,4,1,5,7,6] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[3,2,4,7,6,5,1]=>{{1,3,4,7},{2},{5,6}}=>[3,2,4,7,6,5,1] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[3,2,4,1,6,5,7]=>{{1,3,4},{2},{5,6},{7}}=>[3,2,4,1,6,5,7] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,7,5,6,4]=>[3,2,4,1,6,7,5]=>{{1,3,4},{2},{5,6,7}}=>[3,2,4,1,6,7,5] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[3,2,4,1,7,6,5]=>{{1,3,4},{2},{5,7},{6}}=>[3,2,4,1,7,6,5] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>{{1,3,5,6,7},{2},{4}}=>[3,2,5,4,6,7,1] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>{{1,3,5,6},{2},{4},{7}}=>[3,2,5,4,6,1,7] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,1]=>{{1,3,5,7},{2},{4},{6}}=>[3,2,5,4,7,6,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[3,2,5,4,1,6,7]=>{{1,3,5},{2},{4},{6},{7}}=>[3,2,5,4,1,6,7] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,7,6]=>{{1,3,5},{2},{4},{6,7}}=>[3,2,5,4,1,7,6] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[3,2,6,4,5,7,1]=>{{1,3,6,7},{2},{4},{5}}=>[3,2,6,4,5,7,1] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[3,2,6,4,5,1,7]=>{{1,3,6},{2},{4},{5},{7}}=>[3,2,6,4,5,1,7] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[3,2,7,4,5,6,1]=>{{1,3,7},{2},{4},{5},{6}}=>[3,2,7,4,5,6,1] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[3,2,1,4,5,6,7]=>{{1,3},{2},{4},{5},{6},{7}}=>[3,2,1,4,5,6,7] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[3,2,1,4,5,7,6]=>{{1,3},{2},{4},{5},{6,7}}=>[3,2,1,4,5,7,6] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[3,2,7,4,6,5,1]=>{{1,3,7},{2},{4},{5,6}}=>[3,2,7,4,6,5,1] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[3,2,1,4,6,5,7]=>{{1,3},{2},{4},{5,6},{7}}=>[3,2,1,4,6,5,7] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,7,5,6,3]=>[3,2,1,4,6,7,5]=>{{1,3},{2},{4},{5,6,7}}=>[3,2,1,4,6,7,5] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[3,2,1,4,7,6,5]=>{{1,3},{2},{4},{5,7},{6}}=>[3,2,1,4,7,6,5] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1]=>{{1,3,6,7},{2},{4,5}}=>[3,2,6,5,4,7,1] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>{{1,3,6},{2},{4,5},{7}}=>[3,2,6,5,4,1,7] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[3,2,7,5,4,6,1]=>{{1,3,7},{2},{4,5},{6}}=>[3,2,7,5,4,6,1] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[3,2,1,5,4,6,7]=>{{1,3},{2},{4,5},{6},{7}}=>[3,2,1,5,4,6,7] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[3,2,1,5,4,7,6]=>{{1,3},{2},{4,5},{6,7}}=>[3,2,1,5,4,7,6] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,6,4,5,3,7]=>[3,2,7,5,6,4,1]=>{{1,3,7},{2},{4,5,6}}=>[3,2,7,5,6,4,1] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,6,4,5,7,3]=>[3,2,1,5,6,4,7]=>{{1,3},{2},{4,5,6},{7}}=>[3,2,1,5,6,4,7] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,7,4,5,6,3]=>[3,2,1,5,6,7,4]=>{{1,3},{2},{4,5,6,7}}=>[3,2,1,5,6,7,4] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,7,4,6,5,3]=>[3,2,1,5,7,6,4]=>{{1,3},{2},{4,5,7},{6}}=>[3,2,1,5,7,6,4] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,1]=>{{1,3,7},{2},{4,6},{5}}=>[3,2,7,6,5,4,1] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[3,2,1,6,5,4,7]=>{{1,3},{2},{4,6},{5},{7}}=>[3,2,1,6,5,4,7] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,7,5,4,6,3]=>[3,2,1,6,5,7,4]=>{{1,3},{2},{4,6,7},{5}}=>[3,2,1,6,5,7,4] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,7,5,6,4,3]=>[3,2,1,7,5,6,4]=>{{1,3},{2},{4,7},{5},{6}}=>[3,2,1,7,5,6,4] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[3,2,1,7,6,5,4]=>{{1,3},{2},{4,7},{5,6}}=>[3,2,1,7,6,5,4] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[4,2,3,5,6,7,1]=>{{1,4,5,6,7},{2},{3}}=>[4,2,3,5,6,7,1] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[4,2,3,5,6,1,7]=>{{1,4,5,6},{2},{3},{7}}=>[4,2,3,5,6,1,7] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[4,2,3,5,7,6,1]=>{{1,4,5,7},{2},{3},{6}}=>[4,2,3,5,7,6,1] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[4,2,3,5,1,6,7]=>{{1,4,5},{2},{3},{6},{7}}=>[4,2,3,5,1,6,7] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[4,2,3,5,1,7,6]=>{{1,4,5},{2},{3},{6,7}}=>[4,2,3,5,1,7,6] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[4,2,3,6,5,7,1]=>{{1,4,6,7},{2},{3},{5}}=>[4,2,3,6,5,7,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[4,2,3,6,5,1,7]=>{{1,4,6},{2},{3},{5},{7}}=>[4,2,3,6,5,1,7] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[4,2,3,7,5,6,1]=>{{1,4,7},{2},{3},{5},{6}}=>[4,2,3,7,5,6,1] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[4,2,3,1,5,6,7]=>{{1,4},{2},{3},{5},{6},{7}}=>[4,2,3,1,5,6,7] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[4,2,3,1,5,7,6]=>{{1,4},{2},{3},{5},{6,7}}=>[4,2,3,1,5,7,6] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[4,2,3,7,6,5,1]=>{{1,4,7},{2},{3},{5,6}}=>[4,2,3,7,6,5,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[4,2,3,1,6,5,7]=>{{1,4},{2},{3},{5,6},{7}}=>[4,2,3,1,6,5,7] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,4]=>[4,2,3,1,6,7,5]=>{{1,4},{2},{3},{5,6,7}}=>[4,2,3,1,6,7,5] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[4,2,3,1,7,6,5]=>{{1,4},{2},{3},{5,7},{6}}=>[4,2,3,1,7,6,5] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[5,2,3,4,6,7,1]=>{{1,5,6,7},{2},{3},{4}}=>[5,2,3,4,6,7,1] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[5,2,3,4,6,1,7]=>{{1,5,6},{2},{3},{4},{7}}=>[5,2,3,4,6,1,7] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[5,2,3,4,7,6,1]=>{{1,5,7},{2},{3},{4},{6}}=>[5,2,3,4,7,6,1] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[5,2,3,4,1,6,7]=>{{1,5},{2},{3},{4},{6},{7}}=>[5,2,3,4,1,6,7] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[5,2,3,4,1,7,6]=>{{1,5},{2},{3},{4},{6,7}}=>[5,2,3,4,1,7,6] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[6,2,3,4,5,7,1]=>{{1,6,7},{2},{3},{4},{5}}=>[6,2,3,4,5,7,1] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[6,2,3,4,5,1,7]=>{{1,6},{2},{3},{4},{5},{7}}=>[6,2,3,4,5,1,7] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[7,2,3,4,5,6,1]=>{{1,7},{2},{3},{4},{5},{6}}=>[7,2,3,4,5,6,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[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] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>{{1},{2},{3},{4},{5},{6,7}}=>[1,2,3,4,5,7,6] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[7,2,3,4,6,5,1]=>{{1,7},{2},{3},{4},{5,6}}=>[7,2,3,4,6,5,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>{{1},{2},{3},{4},{5,6},{7}}=>[1,2,3,4,6,5,7] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,7,5,6,1]=>[1,2,3,4,6,7,5]=>{{1},{2},{3},{4},{5,6,7}}=>[1,2,3,4,6,7,5] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,6,5]=>{{1},{2},{3},{4},{5,7},{6}}=>[1,2,3,4,7,6,5] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[6,2,3,5,4,7,1]=>{{1,6,7},{2},{3},{4,5}}=>[6,2,3,5,4,7,1] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[6,2,3,5,4,1,7]=>{{1,6},{2},{3},{4,5},{7}}=>[6,2,3,5,4,1,7] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[7,2,3,5,4,6,1]=>{{1,7},{2},{3},{4,5},{6}}=>[7,2,3,5,4,6,1] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>{{1},{2},{3},{4,5},{6},{7}}=>[1,2,3,5,4,6,7] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>{{1},{2},{3},{4,5},{6,7}}=>[1,2,3,5,4,7,6] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,7]=>[7,2,3,5,6,4,1]=>{{1,7},{2},{3},{4,5,6}}=>[7,2,3,5,6,4,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,6,4,5,7,1]=>[1,2,3,5,6,4,7]=>{{1},{2},{3},{4,5,6},{7}}=>[1,2,3,5,6,4,7] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,7,4,5,6,1]=>[1,2,3,5,6,7,4]=>{{1},{2},{3},{4,5,6,7}}=>[1,2,3,5,6,7,4] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,1]=>[1,2,3,5,7,6,4]=>{{1},{2},{3},{4,5,7},{6}}=>[1,2,3,5,7,6,4] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[7,2,3,6,5,4,1]=>{{1,7},{2},{3},{4,6},{5}}=>[7,2,3,6,5,4,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[1,2,3,6,5,4,7]=>{{1},{2},{3},{4,6},{5},{7}}=>[1,2,3,6,5,4,7] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,7,5,4,6,1]=>[1,2,3,6,5,7,4]=>{{1},{2},{3},{4,6,7},{5}}=>[1,2,3,6,5,7,4] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,7,5,6,4,1]=>[1,2,3,7,5,6,4]=>{{1},{2},{3},{4,7},{5},{6}}=>[1,2,3,7,5,6,4] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[1,2,3,7,6,5,4]=>{{1},{2},{3},{4,7},{5,6}}=>[1,2,3,7,6,5,4] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[5,2,4,3,6,7,1]=>{{1,5,6,7},{2},{3,4}}=>[5,2,4,3,6,7,1] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[5,2,4,3,6,1,7]=>{{1,5,6},{2},{3,4},{7}}=>[5,2,4,3,6,1,7] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[5,2,4,3,7,6,1]=>{{1,5,7},{2},{3,4},{6}}=>[5,2,4,3,7,6,1] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[5,2,4,3,1,6,7]=>{{1,5},{2},{3,4},{6},{7}}=>[5,2,4,3,1,6,7] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[5,2,4,3,1,7,6]=>{{1,5},{2},{3,4},{6,7}}=>[5,2,4,3,1,7,6] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[6,2,4,3,5,7,1]=>{{1,6,7},{2},{3,4},{5}}=>[6,2,4,3,5,7,1] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[6,2,4,3,5,1,7]=>{{1,6},{2},{3,4},{5},{7}}=>[6,2,4,3,5,1,7] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[7,2,4,3,5,6,1]=>{{1,7},{2},{3,4},{5},{6}}=>[7,2,4,3,5,6,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>{{1},{2},{3,4},{5},{6},{7}}=>[1,2,4,3,5,6,7] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>{{1},{2},{3,4},{5},{6,7}}=>[1,2,4,3,5,7,6] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[7,2,4,3,6,5,1]=>{{1,7},{2},{3,4},{5,6}}=>[7,2,4,3,6,5,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>{{1},{2},{3,4},{5,6},{7}}=>[1,2,4,3,6,5,7] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,7,5,6,1]=>[1,2,4,3,6,7,5]=>{{1},{2},{3,4},{5,6,7}}=>[1,2,4,3,6,7,5] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[1,2,4,3,7,6,5]=>{{1},{2},{3,4},{5,7},{6}}=>[1,2,4,3,7,6,5] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,3,4,1,6,7]=>[6,2,4,5,3,7,1]=>{{1,6,7},{2},{3,4,5}}=>[6,2,4,5,3,7,1] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,3,4,1,7,6]=>[6,2,4,5,3,1,7]=>{{1,6},{2},{3,4,5},{7}}=>[6,2,4,5,3,1,7] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,3,4,6,1,7]=>[7,2,4,5,3,6,1]=>{{1,7},{2},{3,4,5},{6}}=>[7,2,4,5,3,6,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,3,4,6,7,1]=>[1,2,4,5,3,6,7]=>{{1},{2},{3,4,5},{6},{7}}=>[1,2,4,5,3,6,7] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,3,4,7,6,1]=>[1,2,4,5,3,7,6]=>{{1},{2},{3,4,5},{6,7}}=>[1,2,4,5,3,7,6] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,6,3,4,5,1,7]=>[7,2,4,5,6,3,1]=>{{1,7},{2},{3,4,5,6}}=>[7,2,4,5,6,3,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,6,3,4,5,7,1]=>[1,2,4,5,6,3,7]=>{{1},{2},{3,4,5,6},{7}}=>[1,2,4,5,6,3,7] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,7,3,4,5,6,1]=>[1,2,4,5,6,7,3]=>{{1},{2},{3,4,5,6,7}}=>[1,2,4,5,6,7,3] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,1]=>[1,2,4,5,7,6,3]=>{{1},{2},{3,4,5,7},{6}}=>[1,2,4,5,7,6,3] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,6,3,5,4,1,7]=>[7,2,4,6,5,3,1]=>{{1,7},{2},{3,4,6},{5}}=>[7,2,4,6,5,3,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,6,3,5,4,7,1]=>[1,2,4,6,5,3,7]=>{{1},{2},{3,4,6},{5},{7}}=>[1,2,4,6,5,3,7] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,7,3,5,4,6,1]=>[1,2,4,6,5,7,3]=>{{1},{2},{3,4,6,7},{5}}=>[1,2,4,6,5,7,3] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,5,6,4,1]=>[1,2,4,7,5,6,3]=>{{1},{2},{3,4,7},{5},{6}}=>[1,2,4,7,5,6,3] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,7,3,6,5,4,1]=>[1,2,4,7,6,5,3]=>{{1},{2},{3,4,7},{5,6}}=>[1,2,4,7,6,5,3] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[6,2,5,4,3,7,1]=>{{1,6,7},{2},{3,5},{4}}=>[6,2,5,4,3,7,1] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[6,2,5,4,3,1,7]=>{{1,6},{2},{3,5},{4},{7}}=>[6,2,5,4,3,1,7] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[7,2,5,4,3,6,1]=>{{1,7},{2},{3,5},{4},{6}}=>[7,2,5,4,3,6,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[1,2,5,4,3,6,7]=>{{1},{2},{3,5},{4},{6},{7}}=>[1,2,5,4,3,6,7] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[1,2,5,4,3,7,6]=>{{1},{2},{3,5},{4},{6,7}}=>[1,2,5,4,3,7,6] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,6,4,3,5,1,7]=>[7,2,5,4,6,3,1]=>{{1,7},{2},{3,5,6},{4}}=>[7,2,5,4,6,3,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,6,4,3,5,7,1]=>[1,2,5,4,6,3,7]=>{{1},{2},{3,5,6},{4},{7}}=>[1,2,5,4,6,3,7] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,4,3,5,6,1]=>[1,2,5,4,6,7,3]=>{{1},{2},{3,5,6,7},{4}}=>[1,2,5,4,6,7,3] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,7,4,3,6,5,1]=>[1,2,5,4,7,6,3]=>{{1},{2},{3,5,7},{4},{6}}=>[1,2,5,4,7,6,3] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,4,5,3,1,7]=>[7,2,6,4,5,3,1]=>{{1,7},{2},{3,6},{4},{5}}=>[7,2,6,4,5,3,1] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,4,5,3,7,1]=>[1,2,6,4,5,3,7]=>{{1},{2},{3,6},{4},{5},{7}}=>[1,2,6,4,5,3,7] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,7,4,5,3,6,1]=>[1,2,6,4,5,7,3]=>{{1},{2},{3,6,7},{4},{5}}=>[1,2,6,4,5,7,3] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,7,4,5,6,3,1]=>[1,2,7,4,5,6,3]=>{{1},{2},{3,7},{4},{5},{6}}=>[1,2,7,4,5,6,3] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,7,4,6,5,3,1]=>[1,2,7,4,6,5,3]=>{{1},{2},{3,7},{4},{5,6}}=>[1,2,7,4,6,5,3] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[7,2,6,5,4,3,1]=>{{1,7},{2},{3,6},{4,5}}=>[7,2,6,5,4,3,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[1,2,6,5,4,3,7]=>{{1},{2},{3,6},{4,5},{7}}=>[1,2,6,5,4,3,7] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,7,5,4,3,6,1]=>[1,2,6,5,4,7,3]=>{{1},{2},{3,6,7},{4,5}}=>[1,2,6,5,4,7,3] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,5,4,6,3,1]=>[1,2,7,5,4,6,3]=>{{1},{2},{3,7},{4,5},{6}}=>[1,2,7,5,4,6,3] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,6,4,5,3,1]=>[1,2,7,5,6,4,3]=>{{1},{2},{3,7},{4,5,6}}=>[1,2,7,5,6,4,3] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[1,2,7,6,5,4,3]=>{{1},{2},{3,7},{4,6},{5}}=>[1,2,7,6,5,4,3] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1]=>{{1,4,5,6,7},{2,3}}=>[4,3,2,5,6,7,1] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>{{1,4,5,6},{2,3},{7}}=>[4,3,2,5,6,1,7] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1]=>{{1,4,5,7},{2,3},{6}}=>[4,3,2,5,7,6,1] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[4,3,2,5,1,6,7]=>{{1,4,5},{2,3},{6},{7}}=>[4,3,2,5,1,6,7] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,7,6]=>{{1,4,5},{2,3},{6,7}}=>[4,3,2,5,1,7,6] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1]=>{{1,4,6,7},{2,3},{5}}=>[4,3,2,6,5,7,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>{{1,4,6},{2,3},{5},{7}}=>[4,3,2,6,5,1,7] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[4,3,2,7,5,6,1]=>{{1,4,7},{2,3},{5},{6}}=>[4,3,2,7,5,6,1] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[4,3,2,1,5,6,7]=>{{1,4},{2,3},{5},{6},{7}}=>[4,3,2,1,5,6,7] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[4,3,2,1,5,7,6]=>{{1,4},{2,3},{5},{6,7}}=>[4,3,2,1,5,7,6] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[4,3,2,7,6,5,1]=>{{1,4,7},{2,3},{5,6}}=>[4,3,2,7,6,5,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[4,3,2,1,6,5,7]=>{{1,4},{2,3},{5,6},{7}}=>[4,3,2,1,6,5,7] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,7,5,6,4]=>[4,3,2,1,6,7,5]=>{{1,4},{2,3},{5,6,7}}=>[4,3,2,1,6,7,5] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[4,3,2,1,7,6,5]=>{{1,4},{2,3},{5,7},{6}}=>[4,3,2,1,7,6,5] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[5,3,2,4,6,7,1]=>{{1,5,6,7},{2,3},{4}}=>[5,3,2,4,6,7,1] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[5,3,2,4,6,1,7]=>{{1,5,6},{2,3},{4},{7}}=>[5,3,2,4,6,1,7] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[5,3,2,4,7,6,1]=>{{1,5,7},{2,3},{4},{6}}=>[5,3,2,4,7,6,1] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[5,3,2,4,1,6,7]=>{{1,5},{2,3},{4},{6},{7}}=>[5,3,2,4,1,6,7] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[5,3,2,4,1,7,6]=>{{1,5},{2,3},{4},{6,7}}=>[5,3,2,4,1,7,6] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[6,3,2,4,5,7,1]=>{{1,6,7},{2,3},{4},{5}}=>[6,3,2,4,5,7,1] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[6,3,2,4,5,1,7]=>{{1,6},{2,3},{4},{5},{7}}=>[6,3,2,4,5,1,7] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[7,3,2,4,5,6,1]=>{{1,7},{2,3},{4},{5},{6}}=>[7,3,2,4,5,6,1] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[1,3,2,4,5,6,7]=>{{1},{2,3},{4},{5},{6},{7}}=>[1,3,2,4,5,6,7] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[1,3,2,4,5,7,6]=>{{1},{2,3},{4},{5},{6,7}}=>[1,3,2,4,5,7,6] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[7,3,2,4,6,5,1]=>{{1,7},{2,3},{4},{5,6}}=>[7,3,2,4,6,5,1] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[1,3,2,4,6,5,7]=>{{1},{2,3},{4},{5,6},{7}}=>[1,3,2,4,6,5,7] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,7,5,6,1]=>[1,3,2,4,6,7,5]=>{{1},{2,3},{4},{5,6,7}}=>[1,3,2,4,6,7,5] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[1,3,2,4,7,6,5]=>{{1},{2,3},{4},{5,7},{6}}=>[1,3,2,4,7,6,5] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[6,3,2,5,4,7,1]=>{{1,6,7},{2,3},{4,5}}=>[6,3,2,5,4,7,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[6,3,2,5,4,1,7]=>{{1,6},{2,3},{4,5},{7}}=>[6,3,2,5,4,1,7] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[7,3,2,5,4,6,1]=>{{1,7},{2,3},{4,5},{6}}=>[7,3,2,5,4,6,1] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[1,3,2,5,4,6,7]=>{{1},{2,3},{4,5},{6},{7}}=>[1,3,2,5,4,6,7] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[1,3,2,5,4,7,6]=>{{1},{2,3},{4,5},{6,7}}=>[1,3,2,5,4,7,6] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,6,4,5,1,7]=>[7,3,2,5,6,4,1]=>{{1,7},{2,3},{4,5,6}}=>[7,3,2,5,6,4,1] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,6,4,5,7,1]=>[1,3,2,5,6,4,7]=>{{1},{2,3},{4,5,6},{7}}=>[1,3,2,5,6,4,7] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,7,4,5,6,1]=>[1,3,2,5,6,7,4]=>{{1},{2,3},{4,5,6,7}}=>[1,3,2,5,6,7,4] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,7,4,6,5,1]=>[1,3,2,5,7,6,4]=>{{1},{2,3},{4,5,7},{6}}=>[1,3,2,5,7,6,4] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[7,3,2,6,5,4,1]=>{{1,7},{2,3},{4,6},{5}}=>[7,3,2,6,5,4,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[1,3,2,6,5,4,7]=>{{1},{2,3},{4,6},{5},{7}}=>[1,3,2,6,5,4,7] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,7,5,4,6,1]=>[1,3,2,6,5,7,4]=>{{1},{2,3},{4,6,7},{5}}=>[1,3,2,6,5,7,4] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,7,5,6,4,1]=>[1,3,2,7,5,6,4]=>{{1},{2,3},{4,7},{5},{6}}=>[1,3,2,7,5,6,4] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[1,3,2,7,6,5,4]=>{{1},{2,3},{4,7},{5,6}}=>[1,3,2,7,6,5,4] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7]=>[5,3,4,2,6,7,1]=>{{1,5,6,7},{2,3,4}}=>[5,3,4,2,6,7,1] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,2,3,1,5,7,6]=>[5,3,4,2,6,1,7]=>{{1,5,6},{2,3,4},{7}}=>[5,3,4,2,6,1,7] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,7]=>[5,3,4,2,7,6,1]=>{{1,5,7},{2,3,4},{6}}=>[5,3,4,2,7,6,1] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,1,6,7,5]=>[5,3,4,2,1,6,7]=>{{1,5},{2,3,4},{6},{7}}=>[5,3,4,2,1,6,7] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,2,3,1,7,6,5]=>[5,3,4,2,1,7,6]=>{{1,5},{2,3,4},{6,7}}=>[5,3,4,2,1,7,6] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,2,3,5,1,6,7]=>[6,3,4,2,5,7,1]=>{{1,6,7},{2,3,4},{5}}=>[6,3,4,2,5,7,1] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6]=>[6,3,4,2,5,1,7]=>{{1,6},{2,3,4},{5},{7}}=>[6,3,4,2,5,1,7] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,1,7]=>[7,3,4,2,5,6,1]=>{{1,7},{2,3,4},{5},{6}}=>[7,3,4,2,5,6,1] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]=>[1,3,4,2,5,6,7]=>{{1},{2,3,4},{5},{6},{7}}=>[1,3,4,2,5,6,7] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,7,6,1]=>[1,3,4,2,5,7,6]=>{{1},{2,3,4},{5},{6,7}}=>[1,3,4,2,5,7,6] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,2,3,6,5,1,7]=>[7,3,4,2,6,5,1]=>{{1,7},{2,3,4},{5,6}}=>[7,3,4,2,6,5,1] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,2,3,6,5,7,1]=>[1,3,4,2,6,5,7]=>{{1},{2,3,4},{5,6},{7}}=>[1,3,4,2,6,5,7] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1]=>[1,3,4,2,6,7,5]=>{{1},{2,3,4},{5,6,7}}=>[1,3,4,2,6,7,5] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,7,6,5,1]=>[1,3,4,2,7,6,5]=>{{1},{2,3,4},{5,7},{6}}=>[1,3,4,2,7,6,5] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,2,3,4,1,6,7]=>[6,3,4,5,2,7,1]=>{{1,6,7},{2,3,4,5}}=>[6,3,4,5,2,7,1] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2,3,4,1,7,6]=>[6,3,4,5,2,1,7]=>{{1,6},{2,3,4,5},{7}}=>[6,3,4,5,2,1,7] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[5,2,3,4,6,1,7]=>[7,3,4,5,2,6,1]=>{{1,7},{2,3,4,5},{6}}=>[7,3,4,5,2,6,1] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]=>[1,3,4,5,2,6,7]=>{{1},{2,3,4,5},{6},{7}}=>[1,3,4,5,2,6,7] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,7,6,1]=>[1,3,4,5,2,7,6]=>{{1},{2,3,4,5},{6,7}}=>[1,3,4,5,2,7,6] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,2,3,4,5,1,7]=>[7,3,4,5,6,2,1]=>{{1,7},{2,3,4,5,6}}=>[7,3,4,5,6,2,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[1,3,4,5,6,2,7]=>{{1},{2,3,4,5,6},{7}}=>[1,3,4,5,6,2,7] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,2,3,4,5,6,1]=>[1,3,4,5,6,7,2]=>{{1},{2,3,4,5,6,7}}=>[1,3,4,5,6,7,2] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7,2,3,4,6,5,1]=>[1,3,4,5,7,6,2]=>{{1},{2,3,4,5,7},{6}}=>[1,3,4,5,7,6,2] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,5,4,1,7]=>[7,3,4,6,5,2,1]=>{{1,7},{2,3,4,6},{5}}=>[7,3,4,6,5,2,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,2,3,5,4,7,1]=>[1,3,4,6,5,2,7]=>{{1},{2,3,4,6},{5},{7}}=>[1,3,4,6,5,2,7] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7,2,3,5,4,6,1]=>[1,3,4,6,5,7,2]=>{{1},{2,3,4,6,7},{5}}=>[1,3,4,6,5,7,2] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7,2,3,5,6,4,1]=>[1,3,4,7,5,6,2]=>{{1},{2,3,4,7},{5},{6}}=>[1,3,4,7,5,6,2] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7,2,3,6,5,4,1]=>[1,3,4,7,6,5,2]=>{{1},{2,3,4,7},{5,6}}=>[1,3,4,7,6,5,2] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,1,6,7]=>[6,3,5,4,2,7,1]=>{{1,6,7},{2,3,5},{4}}=>[6,3,5,4,2,7,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,4,3,1,7,6]=>[6,3,5,4,2,1,7]=>{{1,6},{2,3,5},{4},{7}}=>[6,3,5,4,2,1,7] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[5,2,4,3,6,1,7]=>[7,3,5,4,2,6,1]=>{{1,7},{2,3,5},{4},{6}}=>[7,3,5,4,2,6,1] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[5,2,4,3,6,7,1]=>[1,3,5,4,2,6,7]=>{{1},{2,3,5},{4},{6},{7}}=>[1,3,5,4,2,6,7] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,2,4,3,7,6,1]=>[1,3,5,4,2,7,6]=>{{1},{2,3,5},{4},{6,7}}=>[1,3,5,4,2,7,6] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,2,4,3,5,1,7]=>[7,3,5,4,6,2,1]=>{{1,7},{2,3,5,6},{4}}=>[7,3,5,4,6,2,1] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,2,4,3,5,7,1]=>[1,3,5,4,6,2,7]=>{{1},{2,3,5,6},{4},{7}}=>[1,3,5,4,6,2,7] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,2,4,3,5,6,1]=>[1,3,5,4,6,7,2]=>{{1},{2,3,5,6,7},{4}}=>[1,3,5,4,6,7,2] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,2,4,3,6,5,1]=>[1,3,5,4,7,6,2]=>{{1},{2,3,5,7},{4},{6}}=>[1,3,5,4,7,6,2] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]=>[7,3,6,4,5,2,1]=>{{1,7},{2,3,6},{4},{5}}=>[7,3,6,4,5,2,1] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,7,1]=>[1,3,6,4,5,2,7]=>{{1},{2,3,6},{4},{5},{7}}=>[1,3,6,4,5,2,7] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,1]=>[1,3,6,4,5,7,2]=>{{1},{2,3,6,7},{4},{5}}=>[1,3,6,4,5,7,2] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,2,4,5,6,3,1]=>[1,3,7,4,5,6,2]=>{{1},{2,3,7},{4},{5},{6}}=>[1,3,7,4,5,6,2] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,2,4,6,5,3,1]=>[1,3,7,4,6,5,2]=>{{1},{2,3,7},{4},{5,6}}=>[1,3,7,4,6,5,2] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]=>[7,3,6,5,4,2,1]=>{{1,7},{2,3,6},{4,5}}=>[7,3,6,5,4,2,1] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,5,4,3,7,1]=>[1,3,6,5,4,2,7]=>{{1},{2,3,6},{4,5},{7}}=>[1,3,6,5,4,2,7] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7,2,5,4,3,6,1]=>[1,3,6,5,4,7,2]=>{{1},{2,3,6,7},{4,5}}=>[1,3,6,5,4,7,2] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7,2,5,4,6,3,1]=>[1,3,7,5,4,6,2]=>{{1},{2,3,7},{4,5},{6}}=>[1,3,7,5,4,6,2] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7,2,6,4,5,3,1]=>[1,3,7,5,6,4,2]=>{{1},{2,3,7},{4,5,6}}=>[1,3,7,5,6,4,2] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7,2,6,5,4,3,1]=>[1,3,7,6,5,4,2]=>{{1},{2,3,7},{4,6},{5}}=>[1,3,7,6,5,4,2] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1]=>{{1,5,6,7},{2,4},{3}}=>[5,4,3,2,6,7,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>{{1,5,6},{2,4},{3},{7}}=>[5,4,3,2,6,1,7] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[5,4,3,2,7,6,1]=>{{1,5,7},{2,4},{3},{6}}=>[5,4,3,2,7,6,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[5,4,3,2,1,6,7]=>{{1,5},{2,4},{3},{6},{7}}=>[5,4,3,2,1,6,7] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,7,6]=>{{1,5},{2,4},{3},{6,7}}=>[5,4,3,2,1,7,6] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[6,4,3,2,5,7,1]=>{{1,6,7},{2,4},{3},{5}}=>[6,4,3,2,5,7,1] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[6,4,3,2,5,1,7]=>{{1,6},{2,4},{3},{5},{7}}=>[6,4,3,2,5,1,7] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[7,4,3,2,5,6,1]=>{{1,7},{2,4},{3},{5},{6}}=>[7,4,3,2,5,6,1] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[1,4,3,2,5,6,7]=>{{1},{2,4},{3},{5},{6},{7}}=>[1,4,3,2,5,6,7] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[1,4,3,2,5,7,6]=>{{1},{2,4},{3},{5},{6,7}}=>[1,4,3,2,5,7,6] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[7,4,3,2,6,5,1]=>{{1,7},{2,4},{3},{5,6}}=>[7,4,3,2,6,5,1] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[1,4,3,2,6,5,7]=>{{1},{2,4},{3},{5,6},{7}}=>[1,4,3,2,6,5,7] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,7,5,6,1]=>[1,4,3,2,6,7,5]=>{{1},{2,4},{3},{5,6,7}}=>[1,4,3,2,6,7,5] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[1,4,3,2,7,6,5]=>{{1},{2,4},{3},{5,7},{6}}=>[1,4,3,2,7,6,5] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,3,2,4,1,6,7]=>[6,4,3,5,2,7,1]=>{{1,6,7},{2,4,5},{3}}=>[6,4,3,5,2,7,1] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,3,2,4,1,7,6]=>[6,4,3,5,2,1,7]=>{{1,6},{2,4,5},{3},{7}}=>[6,4,3,5,2,1,7] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,3,2,4,6,1,7]=>[7,4,3,5,2,6,1]=>{{1,7},{2,4,5},{3},{6}}=>[7,4,3,5,2,6,1] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]=>[1,4,3,5,2,6,7]=>{{1},{2,4,5},{3},{6},{7}}=>[1,4,3,5,2,6,7] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,1]=>[1,4,3,5,2,7,6]=>{{1},{2,4,5},{3},{6,7}}=>[1,4,3,5,2,7,6] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1,7]=>[7,4,3,5,6,2,1]=>{{1,7},{2,4,5,6},{3}}=>[7,4,3,5,6,2,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[1,4,3,5,6,2,7]=>{{1},{2,4,5,6},{3},{7}}=>[1,4,3,5,6,2,7] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,2,4,5,6,1]=>[1,4,3,5,6,7,2]=>{{1},{2,4,5,6,7},{3}}=>[1,4,3,5,6,7,2] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,1]=>[1,4,3,5,7,6,2]=>{{1},{2,4,5,7},{3},{6}}=>[1,4,3,5,7,6,2] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]=>[7,4,3,6,5,2,1]=>{{1,7},{2,4,6},{3},{5}}=>[7,4,3,6,5,2,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,2,5,4,7,1]=>[1,4,3,6,5,2,7]=>{{1},{2,4,6},{3},{5},{7}}=>[1,4,3,6,5,2,7] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7,3,2,5,4,6,1]=>[1,4,3,6,5,7,2]=>{{1},{2,4,6,7},{3},{5}}=>[1,4,3,6,5,7,2] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7,3,2,5,6,4,1]=>[1,4,3,7,5,6,2]=>{{1},{2,4,7},{3},{5},{6}}=>[1,4,3,7,5,6,2] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7,3,2,6,5,4,1]=>[1,4,3,7,6,5,2]=>{{1},{2,4,7},{3},{5,6}}=>[1,4,3,7,6,5,2] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,3,4,2,1,6,7]=>[6,5,3,4,2,7,1]=>{{1,6,7},{2,5},{3},{4}}=>[6,5,3,4,2,7,1] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,3,4,2,1,7,6]=>[6,5,3,4,2,1,7]=>{{1,6},{2,5},{3},{4},{7}}=>[6,5,3,4,2,1,7] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,3,4,2,6,1,7]=>[7,5,3,4,2,6,1]=>{{1,7},{2,5},{3},{4},{6}}=>[7,5,3,4,2,6,1] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,3,4,2,6,7,1]=>[1,5,3,4,2,6,7]=>{{1},{2,5},{3},{4},{6},{7}}=>[1,5,3,4,2,6,7] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,3,4,2,7,6,1]=>[1,5,3,4,2,7,6]=>{{1},{2,5},{3},{4},{6,7}}=>[1,5,3,4,2,7,6] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]=>[7,5,3,4,6,2,1]=>{{1,7},{2,5,6},{3},{4}}=>[7,5,3,4,6,2,1] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[1,5,3,4,6,2,7]=>{{1},{2,5,6},{3},{4},{7}}=>[1,5,3,4,6,2,7] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,4,2,5,6,1]=>[1,5,3,4,6,7,2]=>{{1},{2,5,6,7},{3},{4}}=>[1,5,3,4,6,7,2] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,1]=>[1,5,3,4,7,6,2]=>{{1},{2,5,7},{3},{4},{6}}=>[1,5,3,4,7,6,2] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]=>[7,6,3,4,5,2,1]=>{{1,7},{2,6},{3},{4},{5}}=>[7,6,3,4,5,2,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[1,6,3,4,5,2,7]=>{{1},{2,6},{3},{4},{5},{7}}=>[1,6,3,4,5,2,7] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,3,4,5,2,6,1]=>[1,6,3,4,5,7,2]=>{{1},{2,6,7},{3},{4},{5}}=>[1,6,3,4,5,7,2] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,3,4,5,6,2,1]=>[1,7,3,4,5,6,2]=>{{1},{2,7},{3},{4},{5},{6}}=>[1,7,3,4,5,6,2] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,3,4,6,5,2,1]=>[1,7,3,4,6,5,2]=>{{1},{2,7},{3},{4},{5,6}}=>[1,7,3,4,6,5,2] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]=>[7,6,3,5,4,2,1]=>{{1,7},{2,6},{3},{4,5}}=>[7,6,3,5,4,2,1] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,3,5,4,2,7,1]=>[1,6,3,5,4,2,7]=>{{1},{2,6},{3},{4,5},{7}}=>[1,6,3,5,4,2,7] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7,3,5,4,2,6,1]=>[1,6,3,5,4,7,2]=>{{1},{2,6,7},{3},{4,5}}=>[1,6,3,5,4,7,2] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7,3,5,4,6,2,1]=>[1,7,3,5,4,6,2]=>{{1},{2,7},{3},{4,5},{6}}=>[1,7,3,5,4,6,2] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7,3,6,4,5,2,1]=>[1,7,3,5,6,4,2]=>{{1},{2,7},{3},{4,5,6}}=>[1,7,3,5,6,4,2] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,3,6,5,4,2,1]=>[1,7,3,6,5,4,2]=>{{1},{2,7},{3},{4,6},{5}}=>[1,7,3,6,5,4,2] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1]=>{{1,6,7},{2,5},{3,4}}=>[6,5,4,3,2,7,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>{{1,6},{2,5},{3,4},{7}}=>[6,5,4,3,2,1,7] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[7,5,4,3,2,6,1]=>{{1,7},{2,5},{3,4},{6}}=>[7,5,4,3,2,6,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[1,5,4,3,2,6,7]=>{{1},{2,5},{3,4},{6},{7}}=>[1,5,4,3,2,6,7] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[1,5,4,3,2,7,6]=>{{1},{2,5},{3,4},{6,7}}=>[1,5,4,3,2,7,6] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]=>[7,5,4,3,6,2,1]=>{{1,7},{2,5,6},{3,4}}=>[7,5,4,3,6,2,1] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[1,5,4,3,6,2,7]=>{{1},{2,5,6},{3,4},{7}}=>[1,5,4,3,6,2,7] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7,4,3,2,5,6,1]=>[1,5,4,3,6,7,2]=>{{1},{2,5,6,7},{3,4}}=>[1,5,4,3,6,7,2] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,1]=>[1,5,4,3,7,6,2]=>{{1},{2,5,7},{3,4},{6}}=>[1,5,4,3,7,6,2] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]=>[7,6,4,3,5,2,1]=>{{1,7},{2,6},{3,4},{5}}=>[7,6,4,3,5,2,1] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[1,6,4,3,5,2,7]=>{{1},{2,6},{3,4},{5},{7}}=>[1,6,4,3,5,2,7] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7,4,3,5,2,6,1]=>[1,6,4,3,5,7,2]=>{{1},{2,6,7},{3,4},{5}}=>[1,6,4,3,5,7,2] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7,4,3,5,6,2,1]=>[1,7,4,3,5,6,2]=>{{1},{2,7},{3,4},{5},{6}}=>[1,7,4,3,5,6,2] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7,4,3,6,5,2,1]=>[1,7,4,3,6,5,2]=>{{1},{2,7},{3,4},{5,6}}=>[1,7,4,3,6,5,2] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]=>[7,6,4,5,3,2,1]=>{{1,7},{2,6},{3,4,5}}=>[7,6,4,5,3,2,1] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,5,3,4,2,7,1]=>[1,6,4,5,3,2,7]=>{{1},{2,6},{3,4,5},{7}}=>[1,6,4,5,3,2,7] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7,5,3,4,2,6,1]=>[1,6,4,5,3,7,2]=>{{1},{2,6,7},{3,4,5}}=>[1,6,4,5,3,7,2] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7,5,3,4,6,2,1]=>[1,7,4,5,3,6,2]=>{{1},{2,7},{3,4,5},{6}}=>[1,7,4,5,3,6,2] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7,6,3,4,5,2,1]=>[1,7,4,5,6,3,2]=>{{1},{2,7},{3,4,5,6}}=>[1,7,4,5,6,3,2] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,6,3,5,4,2,1]=>[1,7,4,6,5,3,2]=>{{1},{2,7},{3,4,6},{5}}=>[1,7,4,6,5,3,2] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>{{1,7},{2,6},{3,5},{4}}=>[7,6,5,4,3,2,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[1,6,5,4,3,2,7]=>{{1},{2,6},{3,5},{4},{7}}=>[1,6,5,4,3,2,7] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7,5,4,3,2,6,1]=>[1,6,5,4,3,7,2]=>{{1},{2,6,7},{3,5},{4}}=>[1,6,5,4,3,7,2] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7,5,4,3,6,2,1]=>[1,7,5,4,3,6,2]=>{{1},{2,7},{3,5},{4},{6}}=>[1,7,5,4,3,6,2] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7,6,4,3,5,2,1]=>[1,7,5,4,6,3,2]=>{{1},{2,7},{3,5,6},{4}}=>[1,7,5,4,6,3,2] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,6,4,5,3,2,1]=>[1,7,6,4,5,3,2]=>{{1},{2,7},{3,6},{4},{5}}=>[1,7,6,4,5,3,2] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>{{1},{2,7},{3,6},{4,5}}=>[1,7,6,5,4,3,2] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[2,1,4,3,6,5,8,7]=>{{1,2},{3,4},{5,6},{7,8}}=>[2,1,4,3,6,5,8,7] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[2,1,4,3,8,7,6,5]=>{{1,2},{3,4},{5,8},{6,7}}=>[2,1,4,3,8,7,6,5] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[2,1,6,5,4,3,8,7]=>{{1,2},{3,6},{4,5},{7,8}}=>[2,1,6,5,4,3,8,7] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]=>[2,1,8,5,4,7,6,3]=>{{1,2},{3,8},{4,5},{6,7}}=>[2,1,8,5,4,7,6,3] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[2,1,8,7,6,5,4,3]=>{{1,2},{3,8},{4,7},{5,6}}=>[2,1,8,7,6,5,4,3] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[4,3,2,1,6,5,8,7]=>{{1,4},{2,3},{5,6},{7,8}}=>[4,3,2,1,6,5,8,7] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,8,7,6,5]=>{{1,4},{2,3},{5,8},{6,7}}=>[4,3,2,1,8,7,6,5] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[6,3,2,5,4,1,8,7]=>{{1,6},{2,3},{4,5},{7,8}}=>[6,3,2,5,4,1,8,7] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[8,3,2,5,4,7,6,1]=>{{1,8},{2,3},{4,5},{6,7}}=>[8,3,2,5,4,7,6,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[8,3,2,7,6,5,4,1]=>{{1,8},{2,3},{4,7},{5,6}}=>[8,3,2,7,6,5,4,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,1,8,7]=>{{1,6},{2,5},{3,4},{7,8}}=>[6,5,4,3,2,1,8,7] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[8,5,4,3,2,7,6,1]=>{{1,8},{2,5},{3,4},{6,7}}=>[8,5,4,3,2,7,6,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]=>[8,7,4,3,6,5,2,1]=>{{1,8},{2,7},{3,4},{5,6}}=>[8,7,4,3,6,5,2,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>{{1,8},{2,7},{3,6},{4,5}}=>[8,7,6,5,4,3,2,1]
Map
to non-crossing permutation
Description
Sends a Dyck path $D$ with valley at positions $\{(i_1,j_1),\ldots,(i_k,j_k)\}$ to the unique non-crossing permutation $\pi$ having descents $\{i_1,\ldots,i_k\}$ and whose inverse has descents $\{j_1,\ldots,j_k\}$.
It sends the area St000012The area of a Dyck path. to the number of inversions St000018The number of inversions of a permutation. and the major index St000027The major index of a Dyck path. to $n(n-1)$ minus the sum of the major index St000004The major index of a permutation. and the inverse major index St000305The inverse major index of a permutation..
Map
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.